# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:s(t_fun(X1,X2),h4s_combins_o(s(t_fun(t_h4s_pairs_prod(X2,X1),X2),h4s_pairs_fst),s(t_fun(X1,t_h4s_pairs_prod(X2,X1)),h4s_stateu_u_transformers_unit(s(X2,X3)))))=s(t_fun(X1,X2),h4s_combins_k(s(X2,X3))),file('i/f/state_transformer/FST__o__UNIT', ch4s_stateu_u_transformers_FSTu_u_ou_u_UNIT)).
fof(2, axiom,![X1]:![X2]:![X4]:![X3]:s(X2,happ(s(t_fun(X1,X2),h4s_combins_k(s(X2,X3))),s(X1,X4)))=s(X2,X3),file('i/f/state_transformer/FST__o__UNIT', ah4s_combins_Ku_u_THM)).
fof(3, axiom,![X5]:![X6]:![X7]:![X8]:(![X3]:s(X6,happ(s(t_fun(X5,X6),X7),s(X5,X3)))=s(X6,happ(s(t_fun(X5,X6),X8),s(X5,X3)))=>s(t_fun(X5,X6),X7)=s(t_fun(X5,X6),X8)),file('i/f/state_transformer/FST__o__UNIT', aHLu_EXT)).
fof(5, axiom,![X1]:![X2]:![X10]:![X3]:![X8]:![X7]:s(X1,happ(s(t_fun(X10,X1),h4s_combins_o(s(t_fun(X2,X1),X7),s(t_fun(X10,X2),X8))),s(X10,X3)))=s(X1,happ(s(t_fun(X2,X1),X7),s(X2,happ(s(t_fun(X10,X2),X8),s(X10,X3))))),file('i/f/state_transformer/FST__o__UNIT', ah4s_combins_ou_u_THM)).
fof(6, axiom,![X1]:![X2]:![X3]:![X11]:s(t_h4s_pairs_prod(X1,X2),happ(s(t_fun(X2,t_h4s_pairs_prod(X1,X2)),h4s_stateu_u_transformers_unit(s(X1,X3))),s(X2,X11)))=s(t_h4s_pairs_prod(X1,X2),h4s_pairs_u_2c(s(X1,X3),s(X2,X11))),file('i/f/state_transformer/FST__o__UNIT', ah4s_stateu_u_transformers_UNITu_u_DEF)).
fof(7, axiom,![X1]:![X2]:![X4]:![X3]:s(X2,happ(s(t_fun(t_h4s_pairs_prod(X2,X1),X2),h4s_pairs_fst),s(t_h4s_pairs_prod(X2,X1),h4s_pairs_u_2c(s(X2,X3),s(X1,X4)))))=s(X2,X3),file('i/f/state_transformer/FST__o__UNIT', ah4s_pairs_FST0)).
# SZS output end CNFRefutation
