# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:(s(t_fun(t_h4s_pairs_prod(X1,X2),t_bool),h4s_setu_u_relations_relu_u_tou_u_reln(s(t_fun(X1,t_fun(X2,t_bool)),X4)))=s(t_fun(t_h4s_pairs_prod(X1,X2),t_bool),h4s_setu_u_relations_relu_u_tou_u_reln(s(t_fun(X1,t_fun(X2,t_bool)),X3)))<=>s(t_fun(X1,t_fun(X2,t_bool)),X4)=s(t_fun(X1,t_fun(X2,t_bool)),X3)),file('i/f/set_relation/rel__to__reln__11', ch4s_setu_u_relations_relu_u_tou_u_relnu_u_11)).
fof(2, axiom,![X5]:![X6]:![X7]:![X8]:(![X9]:s(X6,happ(s(t_fun(X5,X6),X7),s(X5,X9)))=s(X6,happ(s(t_fun(X5,X6),X8),s(X5,X9)))=>s(t_fun(X5,X6),X7)=s(t_fun(X5,X6),X8)),file('i/f/set_relation/rel__to__reln__11', aHLu_EXT)).
fof(4, axiom,![X1]:![X2]:![X10]:![X11]:s(t_bool,h4s_bools_in(s(t_h4s_pairs_prod(X1,X2),X10),s(t_fun(t_h4s_pairs_prod(X1,X2),t_bool),h4s_setu_u_relations_relu_u_tou_u_reln(s(t_fun(X1,t_fun(X2,t_bool)),X11)))))=s(t_bool,happ(s(t_fun(X2,t_bool),happ(s(t_fun(X1,t_fun(X2,t_bool)),X11),s(X1,h4s_pairs_fst(s(t_h4s_pairs_prod(X1,X2),X10))))),s(X2,h4s_pairs_snd(s(t_h4s_pairs_prod(X1,X2),X10))))),file('i/f/set_relation/rel__to__reln__11', ah4s_setu_u_relations_inu_u_relu_u_tou_u_reln)).
fof(6, axiom,![X1]:![X2]:![X16]:![X9]:s(X2,h4s_pairs_snd(s(t_h4s_pairs_prod(X1,X2),h4s_pairs_u_2c(s(X1,X9),s(X2,X16)))))=s(X2,X16),file('i/f/set_relation/rel__to__reln__11', ah4s_pairs_SND0)).
fof(7, axiom,![X2]:![X1]:![X16]:![X9]:s(X1,h4s_pairs_fst(s(t_h4s_pairs_prod(X1,X2),h4s_pairs_u_2c(s(X1,X9),s(X2,X16)))))=s(X1,X9),file('i/f/set_relation/rel__to__reln__11', ah4s_pairs_FST0)).
# SZS output end CNFRefutation
