# 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(X1,X1),t_bool),X4),s(t_h4s_pairs_prod(X1,X1),h4s_pairs_u_2c(s(X1,X3),s(X1,X2))))))=>p(s(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),h4s_pairs_u_2c(s(X1,X3),s(X1,X2))))))),file('i/f/set_relation/tc__rules0_c0', ch4s_setu_u_relations_tcu_u_rules0u_c0)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/set_relation/tc__rules0_c0', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/set_relation/tc__rules0_c0', aHLu_FALSITY)).
fof(5, axiom,![X5]:![X6]:((p(s(t_bool,X6))=>p(s(t_bool,X5)))=>((p(s(t_bool,X5))=>p(s(t_bool,X6)))=>s(t_bool,X6)=s(t_bool,X5))),file('i/f/set_relation/tc__rules0_c0', ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
fof(10, axiom,![X1]:![X3]:![X12]:(p(s(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),X12))))<=>![X13]:(![X14]:((?[X15]:?[X2]:(s(t_h4s_pairs_prod(X1,X1),X14)=s(t_h4s_pairs_prod(X1,X1),h4s_pairs_u_2c(s(X1,X15),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,X15),s(X1,X2)))))))|?[X15]:?[X2]:(s(t_h4s_pairs_prod(X1,X1),X14)=s(t_h4s_pairs_prod(X1,X1),h4s_pairs_u_2c(s(X1,X15),s(X1,X2)))&?[X8]:(p(s(t_bool,happ(s(t_fun(t_h4s_pairs_prod(X1,X1),t_bool),X13),s(t_h4s_pairs_prod(X1,X1),h4s_pairs_u_2c(s(X1,X15),s(X1,X8))))))&p(s(t_bool,happ(s(t_fun(t_h4s_pairs_prod(X1,X1),t_bool),X13),s(t_h4s_pairs_prod(X1,X1),h4s_pairs_u_2c(s(X1,X8),s(X1,X2)))))))))=>p(s(t_bool,happ(s(t_fun(t_h4s_pairs_prod(X1,X1),t_bool),X13),s(t_h4s_pairs_prod(X1,X1),X14)))))=>p(s(t_bool,happ(s(t_fun(t_h4s_pairs_prod(X1,X1),t_bool),X13),s(t_h4s_pairs_prod(X1,X1),X12)))))),file('i/f/set_relation/tc__rules0_c0', ah4s_setu_u_relations_tcu_u_def)).
fof(13, axiom,![X7]:(s(t_bool,X7)=s(t_bool,t)|s(t_bool,X7)=s(t_bool,f)),file('i/f/set_relation/tc__rules0_c0', aHLu_BOOLu_CASES)).
# SZS output end CNFRefutation
