# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:![X5]:s(t_fun(X2,t_h4s_pairs_prod(X1,X2)),h4s_stateu_u_transformers_bind(s(t_fun(X2,t_h4s_pairs_prod(X3,X2)),h4s_stateu_u_transformers_unit(s(X3,X4))),s(t_fun(X3,t_fun(X2,t_h4s_pairs_prod(X1,X2))),X5)))=s(t_fun(X2,t_h4s_pairs_prod(X1,X2)),happ(s(t_fun(X3,t_fun(X2,t_h4s_pairs_prod(X1,X2))),X5),s(X3,X4))),file('i/f/state_transformer/BIND__LEFT__UNIT', ch4s_stateu_u_transformers_BINDu_u_LEFTu_u_UNIT)).
fof(2, axiom,![X6]:![X7]:![X8]:![X9]:(![X4]:s(X7,happ(s(t_fun(X6,X7),X8),s(X6,X4)))=s(X7,happ(s(t_fun(X6,X7),X9),s(X6,X4)))=>s(t_fun(X6,X7),X8)=s(t_fun(X6,X7),X9)),file('i/f/state_transformer/BIND__LEFT__UNIT', aHLu_EXT)).
fof(4, axiom,![X1]:![X2]:![X3]:![X9]:![X8]:s(t_fun(X3,t_h4s_pairs_prod(X1,X3)),h4s_stateu_u_transformers_bind(s(t_fun(X3,t_h4s_pairs_prod(X2,X3)),X9),s(t_fun(X2,t_fun(X3,t_h4s_pairs_prod(X1,X3))),X8)))=s(t_fun(X3,t_h4s_pairs_prod(X1,X3)),h4s_combins_o(s(t_fun(t_h4s_pairs_prod(X2,X3),t_h4s_pairs_prod(X1,X3)),h4s_pairs_uncurry(s(t_fun(X2,t_fun(X3,t_h4s_pairs_prod(X1,X3))),X8))),s(t_fun(X3,t_h4s_pairs_prod(X2,X3)),X9))),file('i/f/state_transformer/BIND__LEFT__UNIT', ah4s_stateu_u_transformers_BINDu_u_DEF)).
fof(5, axiom,![X2]:![X3]:![X4]:![X10]:s(t_h4s_pairs_prod(X2,X3),happ(s(t_fun(X3,t_h4s_pairs_prod(X2,X3)),h4s_stateu_u_transformers_unit(s(X2,X4))),s(X3,X10)))=s(t_h4s_pairs_prod(X2,X3),h4s_pairs_u_2c(s(X2,X4),s(X3,X10))),file('i/f/state_transformer/BIND__LEFT__UNIT', ah4s_stateu_u_transformers_UNITu_u_DEF)).
fof(6, axiom,![X2]:![X1]:![X3]:![X9]:![X8]:![X4]:s(X2,happ(s(t_fun(X3,X2),h4s_combins_o(s(t_fun(X1,X2),X8),s(t_fun(X3,X1),X9))),s(X3,X4)))=s(X2,happ(s(t_fun(X1,X2),X8),s(X1,happ(s(t_fun(X3,X1),X9),s(X3,X4))))),file('i/f/state_transformer/BIND__LEFT__UNIT', ah4s_combins_ou_u_DEF)).
fof(7, axiom,![X1]:![X3]:![X2]:![X11]:![X4]:![X8]:s(X1,happ(s(t_fun(t_h4s_pairs_prod(X3,X2),X1),h4s_pairs_uncurry(s(t_fun(X3,t_fun(X2,X1)),X8))),s(t_h4s_pairs_prod(X3,X2),h4s_pairs_u_2c(s(X3,X4),s(X2,X11)))))=s(X1,happ(s(t_fun(X2,X1),happ(s(t_fun(X3,t_fun(X2,X1)),X8),s(X3,X4))),s(X2,X11))),file('i/f/state_transformer/BIND__LEFT__UNIT', ah4s_pairs_UNCURRYu_u_DEF)).
# SZS output end CNFRefutation
