# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:s(t_fun(X2,X2),h4s_combins_o(s(t_fun(t_h4s_pairs_prod(X1,X2),X2),h4s_pairs_snd),s(t_fun(X2,t_h4s_pairs_prod(X1,X2)),h4s_stateu_u_transformers_unit(s(X1,X3)))))=s(t_fun(X2,X2),h4s_combins_i),file('i/f/state_transformer/SND__o__UNIT', ch4s_stateu_u_transformers_SNDu_u_ou_u_UNIT)).
fof(2, axiom,![X1]:![X3]:s(X1,happ(s(t_fun(X1,X1),h4s_combins_i),s(X1,X3)))=s(X1,X3),file('i/f/state_transformer/SND__o__UNIT', 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/SND__o__UNIT', aHLu_EXT)).
fof(5, axiom,![X2]:![X1]:![X9]:![X3]:![X7]:![X6]:s(X2,happ(s(t_fun(X9,X2),h4s_combins_o(s(t_fun(X1,X2),X6),s(t_fun(X9,X1),X7))),s(X9,X3)))=s(X2,happ(s(t_fun(X1,X2),X6),s(X1,happ(s(t_fun(X9,X1),X7),s(X9,X3))))),file('i/f/state_transformer/SND__o__UNIT', ah4s_combins_ou_u_THM)).
fof(6, axiom,![X2]:![X1]:![X3]:![X10]:s(t_h4s_pairs_prod(X2,X1),happ(s(t_fun(X1,t_h4s_pairs_prod(X2,X1)),h4s_stateu_u_transformers_unit(s(X2,X3))),s(X1,X10)))=s(t_h4s_pairs_prod(X2,X1),h4s_pairs_u_2c(s(X2,X3),s(X1,X10))),file('i/f/state_transformer/SND__o__UNIT', ah4s_stateu_u_transformers_UNITu_u_DEF)).
fof(7, axiom,![X1]:![X2]:![X11]:![X3]:s(X2,happ(s(t_fun(t_h4s_pairs_prod(X1,X2),X2),h4s_pairs_snd),s(t_h4s_pairs_prod(X1,X2),h4s_pairs_u_2c(s(X1,X3),s(X2,X11)))))=s(X2,X11),file('i/f/state_transformer/SND__o__UNIT', ah4s_pairs_SND0)).
# SZS output end CNFRefutation
