# 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_combins_o(s(t_fun(t_fun(X2,t_h4s_pairs_prod(t_fun(X2,t_h4s_pairs_prod(X1,X2)),X2)),t_fun(X2,t_h4s_pairs_prod(X1,X2))),h4s_stateu_u_transformers_join),s(t_fun(t_fun(X2,t_h4s_pairs_prod(X1,X2)),t_fun(X2,t_h4s_pairs_prod(t_fun(X2,t_h4s_pairs_prod(X1,X2)),X2))),h4s_stateu_u_transformers_unit)))=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/JOIN__UNIT', ch4s_stateu_u_transformers_JOINu_u_UNIT)).
fof(2, axiom,![X1]:![X3]:![X2]:![X4]:![X5]:![X6]:s(X1,happ(s(t_fun(X2,X1),h4s_combins_o(s(t_fun(X3,X1),X5),s(t_fun(X2,X3),X4))),s(X2,X6)))=s(X1,happ(s(t_fun(X3,X1),X5),s(X3,happ(s(t_fun(X2,X3),X4),s(X2,X6))))),file('i/f/state_transformer/JOIN__UNIT', ah4s_combins_ou_u_DEF)).
fof(3, axiom,![X3]:![X1]:![X2]:![X6]:![X7]:s(t_fun(X1,t_h4s_pairs_prod(X3,X1)),h4s_stateu_u_transformers_bind(s(t_fun(X1,t_h4s_pairs_prod(X2,X1)),happ(s(t_fun(X2,t_fun(X1,t_h4s_pairs_prod(X2,X1))),h4s_stateu_u_transformers_unit),s(X2,X6))),s(t_fun(X2,t_fun(X1,t_h4s_pairs_prod(X3,X1))),X7)))=s(t_fun(X1,t_h4s_pairs_prod(X3,X1)),happ(s(t_fun(X2,t_fun(X1,t_h4s_pairs_prod(X3,X1))),X7),s(X2,X6))),file('i/f/state_transformer/JOIN__UNIT', ah4s_stateu_u_transformers_BINDu_u_LEFTu_u_UNIT)).
fof(4, axiom,![X1]:![X2]:![X8]:s(t_fun(X2,t_h4s_pairs_prod(X1,X2)),happ(s(t_fun(t_fun(X2,t_h4s_pairs_prod(t_fun(X2,t_h4s_pairs_prod(X1,X2)),X2)),t_fun(X2,t_h4s_pairs_prod(X1,X2))),h4s_stateu_u_transformers_join),s(t_fun(X2,t_h4s_pairs_prod(t_fun(X2,t_h4s_pairs_prod(X1,X2)),X2)),X8)))=s(t_fun(X2,t_h4s_pairs_prod(X1,X2)),h4s_stateu_u_transformers_bind(s(t_fun(X2,t_h4s_pairs_prod(t_fun(X2,t_h4s_pairs_prod(X1,X2)),X2)),X8),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/JOIN__UNIT', ah4s_stateu_u_transformers_JOINu_u_DEF)).
fof(5, axiom,![X9]:![X10]:![X5]:![X4]:(![X6]:s(X10,happ(s(t_fun(X9,X10),X5),s(X9,X6)))=s(X10,happ(s(t_fun(X9,X10),X4),s(X9,X6)))=>s(t_fun(X9,X10),X5)=s(t_fun(X9,X10),X4)),file('i/f/state_transformer/JOIN__UNIT', aHLu_EXT)).
# SZS output end CNFRefutation
