# 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(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),X4))))=>p(s(t_bool,h4s_bools_in(s(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),X4))))))),file('i/f/set_relation/tc__rules_c0', ch4s_setu_u_relations_tcu_u_rulesu_c0)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/set_relation/tc__rules_c0', aHLu_TRUTH)).
fof(7, axiom,![X7]:(s(t_bool,X7)=s(t_bool,t)<=>p(s(t_bool,X7))),file('i/f/set_relation/tc__rules_c0', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(16, axiom,![X1]:![X3]:![X14]:s(t_bool,h4s_bools_in(s(X1,X3),s(t_fun(X1,t_bool),X14)))=s(t_bool,happ(s(t_fun(X1,t_bool),X14),s(X1,X3))),file('i/f/set_relation/tc__rules_c0', ah4s_predu_u_sets_SPECIFICATION)).
fof(17, axiom,![X1]:![X3]:![X20]:(p(s(t_bool,happ(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),X3))),s(t_h4s_pairs_prod(X1,X1),X20))))<=>![X21]:(![X22]:((?[X23]:?[X2]:(s(t_h4s_pairs_prod(X1,X1),X22)=s(t_h4s_pairs_prod(X1,X1),h4s_pairs_u_2c(s(X1,X23),s(X1,X2)))&p(s(t_bool,happ(s(t_fun(t_h4s_pairs_prod(X1,X1),t_bool),X3),s(t_h4s_pairs_prod(X1,X1),h4s_pairs_u_2c(s(X1,X23),s(X1,X2)))))))|?[X23]:?[X2]:(s(t_h4s_pairs_prod(X1,X1),X22)=s(t_h4s_pairs_prod(X1,X1),h4s_pairs_u_2c(s(X1,X23),s(X1,X2)))&?[X11]:(p(s(t_bool,happ(s(t_fun(t_h4s_pairs_prod(X1,X1),t_bool),X21),s(t_h4s_pairs_prod(X1,X1),h4s_pairs_u_2c(s(X1,X23),s(X1,X11))))))&p(s(t_bool,happ(s(t_fun(t_h4s_pairs_prod(X1,X1),t_bool),X21),s(t_h4s_pairs_prod(X1,X1),h4s_pairs_u_2c(s(X1,X11),s(X1,X2)))))))))=>p(s(t_bool,happ(s(t_fun(t_h4s_pairs_prod(X1,X1),t_bool),X21),s(t_h4s_pairs_prod(X1,X1),X22)))))=>p(s(t_bool,happ(s(t_fun(t_h4s_pairs_prod(X1,X1),t_bool),X21),s(t_h4s_pairs_prod(X1,X1),X20)))))),file('i/f/set_relation/tc__rules_c0', ah4s_setu_u_relations_tcu_u_def)).
fof(18, axiom,![X7]:(s(t_bool,X7)=s(t_bool,t)|s(t_bool,X7)=s(t_bool,f)),file('i/f/set_relation/tc__rules_c0', aHLu_BOOLu_CASES)).
fof(19, axiom,~(p(s(t_bool,f))),file('i/f/set_relation/tc__rules_c0', aHLu_FALSITY)).
# SZS output end CNFRefutation
