# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, axiom,p(s(t_bool,t)),file('i/f/set_relation/tc__ind0', aHLu_TRUTH)).
fof(2, axiom,~(p(s(t_bool,f))),file('i/f/set_relation/tc__ind0', aHLu_FALSITY)).
fof(3, axiom,![X1]:(s(t_bool,X1)=s(t_bool,t)|s(t_bool,X1)=s(t_bool,f)),file('i/f/set_relation/tc__ind0', aHLu_BOOLu_CASES)).
fof(7, axiom,![X9]:![X10]:((p(s(t_bool,X10))=>p(s(t_bool,X9)))=>((p(s(t_bool,X9))=>p(s(t_bool,X10)))=>s(t_bool,X10)=s(t_bool,X9))),file('i/f/set_relation/tc__ind0', ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
fof(12, axiom,![X8]:![X6]:![X16]:(p(s(t_bool,h4s_setu_u_relations_tc(s(t_fun(t_h4s_pairs_prod(X8,X8),t_bool),X6),s(t_h4s_pairs_prod(X8,X8),X16))))<=>![X17]:(![X18]:((?[X19]:?[X12]:(s(t_h4s_pairs_prod(X8,X8),X18)=s(t_h4s_pairs_prod(X8,X8),h4s_pairs_u_2c(s(X8,X19),s(X8,X12)))&p(s(t_bool,happ(s(t_fun(t_h4s_pairs_prod(X8,X8),t_bool),X6),s(t_h4s_pairs_prod(X8,X8),h4s_pairs_u_2c(s(X8,X19),s(X8,X12)))))))|?[X19]:?[X12]:(s(t_h4s_pairs_prod(X8,X8),X18)=s(t_h4s_pairs_prod(X8,X8),h4s_pairs_u_2c(s(X8,X19),s(X8,X12)))&?[X11]:(p(s(t_bool,happ(s(t_fun(t_h4s_pairs_prod(X8,X8),t_bool),X17),s(t_h4s_pairs_prod(X8,X8),h4s_pairs_u_2c(s(X8,X19),s(X8,X11))))))&p(s(t_bool,happ(s(t_fun(t_h4s_pairs_prod(X8,X8),t_bool),X17),s(t_h4s_pairs_prod(X8,X8),h4s_pairs_u_2c(s(X8,X11),s(X8,X12)))))))))=>p(s(t_bool,happ(s(t_fun(t_h4s_pairs_prod(X8,X8),t_bool),X17),s(t_h4s_pairs_prod(X8,X8),X18)))))=>p(s(t_bool,happ(s(t_fun(t_h4s_pairs_prod(X8,X8),t_bool),X17),s(t_h4s_pairs_prod(X8,X8),X16)))))),file('i/f/set_relation/tc__ind0', ah4s_setu_u_relations_tcu_u_def)).
fof(13, conjecture,![X8]:![X17]:![X20]:((![X6]:![X12]:(p(s(t_bool,happ(s(t_fun(t_h4s_pairs_prod(X8,X8),t_bool),X20),s(t_h4s_pairs_prod(X8,X8),h4s_pairs_u_2c(s(X8,X6),s(X8,X12))))))=>p(s(t_bool,happ(s(t_fun(t_h4s_pairs_prod(X8,X8),t_bool),X17),s(t_h4s_pairs_prod(X8,X8),h4s_pairs_u_2c(s(X8,X6),s(X8,X12)))))))&![X6]:![X12]:(?[X11]:(p(s(t_bool,happ(s(t_fun(t_h4s_pairs_prod(X8,X8),t_bool),X17),s(t_h4s_pairs_prod(X8,X8),h4s_pairs_u_2c(s(X8,X6),s(X8,X11))))))&p(s(t_bool,happ(s(t_fun(t_h4s_pairs_prod(X8,X8),t_bool),X17),s(t_h4s_pairs_prod(X8,X8),h4s_pairs_u_2c(s(X8,X11),s(X8,X12)))))))=>p(s(t_bool,happ(s(t_fun(t_h4s_pairs_prod(X8,X8),t_bool),X17),s(t_h4s_pairs_prod(X8,X8),h4s_pairs_u_2c(s(X8,X6),s(X8,X12))))))))=>![X21]:(p(s(t_bool,h4s_setu_u_relations_tc(s(t_fun(t_h4s_pairs_prod(X8,X8),t_bool),X20),s(t_h4s_pairs_prod(X8,X8),X21))))=>p(s(t_bool,happ(s(t_fun(t_h4s_pairs_prod(X8,X8),t_bool),X17),s(t_h4s_pairs_prod(X8,X8),X21)))))),file('i/f/set_relation/tc__ind0', ch4s_setu_u_relations_tcu_u_ind0)).
# SZS output end CNFRefutation
