# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:s(t_fun(t_fun(X2,t_h4s_pairs_prod(X1,X2)),t_fun(X2,t_h4s_pairs_prod(X1,X2))),h4s_stateu_u_transformers_mmap(s(t_fun(X1,X1),h4s_combins_i)))=s(t_fun(t_fun(X2,t_h4s_pairs_prod(X1,X2)),t_fun(X2,t_h4s_pairs_prod(X1,X2))),h4s_combins_i),file('i/f/state_transformer/MMAP__ID', ch4s_stateu_u_transformers_MMAPu_u_ID)).
fof(2, axiom,![X2]:![X3]:s(X2,happ(s(t_fun(X2,X2),h4s_combins_i),s(X2,X3)))=s(X2,X3),file('i/f/state_transformer/MMAP__ID', ah4s_combins_Iu_u_THM)).
fof(3, axiom,![X4]:![X5]:![X6]:![X7]:(![X3]:s(X5,happ(s(t_fun(X4,X5),X6),s(X4,X3)))=s(X5,happ(s(t_fun(X4,X5),X7),s(X4,X3)))=>s(t_fun(X4,X5),X6)=s(t_fun(X4,X5),X7)),file('i/f/state_transformer/MMAP__ID', aHLu_EXT)).
fof(6, axiom,![X2]:![X9]:![X1]:![X10]:![X6]:s(t_fun(X2,t_h4s_pairs_prod(X1,X2)),happ(s(t_fun(t_fun(X2,t_h4s_pairs_prod(X9,X2)),t_fun(X2,t_h4s_pairs_prod(X1,X2))),h4s_stateu_u_transformers_mmap(s(t_fun(X9,X1),X6))),s(t_fun(X2,t_h4s_pairs_prod(X9,X2)),X10)))=s(t_fun(X2,t_h4s_pairs_prod(X1,X2)),h4s_stateu_u_transformers_bind(s(t_fun(X2,t_h4s_pairs_prod(X9,X2)),X10),s(t_fun(X9,t_fun(X2,t_h4s_pairs_prod(X1,X2))),h4s_combins_o(s(t_fun(X1,t_fun(X2,t_h4s_pairs_prod(X1,X2))),h4s_stateu_u_transformers_unit),s(t_fun(X9,X1),X6))))),file('i/f/state_transformer/MMAP__ID', ah4s_stateu_u_transformers_MMAPu_u_DEF)).
fof(7, axiom,![X1]:![X2]:![X11]:s(t_fun(X2,t_h4s_pairs_prod(X1,X2)),h4s_stateu_u_transformers_bind(s(t_fun(X2,t_h4s_pairs_prod(X1,X2)),X11),s(t_fun(X1,t_fun(X2,t_h4s_pairs_prod(X1,X2))),h4s_stateu_u_transformers_unit)))=s(t_fun(X2,t_h4s_pairs_prod(X1,X2)),X11),file('i/f/state_transformer/MMAP__ID', ah4s_stateu_u_transformers_BINDu_u_RIGHTu_u_UNIT)).
fof(8, axiom,![X1]:![X9]:![X2]:![X7]:![X6]:![X3]:s(X1,happ(s(t_fun(X2,X1),h4s_combins_o(s(t_fun(X9,X1),X6),s(t_fun(X2,X9),X7))),s(X2,X3)))=s(X1,happ(s(t_fun(X9,X1),X6),s(X9,happ(s(t_fun(X2,X9),X7),s(X2,X3))))),file('i/f/state_transformer/MMAP__ID', ah4s_combins_ou_u_DEF)).
# SZS output end CNFRefutation
