# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:(?[X5]:(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,X5))),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))))))&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,X5))),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)))))))=>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),X4))))))),file('i/f/set_relation/tc__rules_c1', ch4s_setu_u_relations_tcu_u_rulesu_c1)).
fof(2, axiom,![X6]:![X7]:((p(s(t_bool,X7))=>p(s(t_bool,X6)))=>((p(s(t_bool,X6))=>p(s(t_bool,X7)))=>s(t_bool,X7)=s(t_bool,X6))),file('i/f/set_relation/tc__rules_c1', ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
fof(26, axiom,![X1]:![X3]:![X18]:s(t_bool,h4s_bools_in(s(X1,X3),s(t_fun(X1,t_bool),X18)))=s(t_bool,happ(s(t_fun(X1,t_bool),X18),s(X1,X3))),file('i/f/set_relation/tc__rules_c1', ah4s_predu_u_sets_SPECIFICATION)).
fof(33, axiom,![X1]:![X2]:![X3]:![X4]:(?[X5]:(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),X4))),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,X5))))))&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),X4))),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,X5))),s(X1,X2)))))))=>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),X4))),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))))))),file('i/f/set_relation/tc__rules_c1', ah4s_setu_u_relations_tcu_u_rules0u_c1)).
fof(34, axiom,![X1]:![X2]:![X3]:![X4]:(p(s(t_bool,happ(s(t_fun(t_h4s_pairs_prod(X1,X1),t_bool),X4),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))))))=>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),X4))),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))))))),file('i/f/set_relation/tc__rules_c1', ah4s_setu_u_relations_tcu_u_rules0u_c0)).
# SZS output end CNFRefutation
