# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:(![X5]:![X6]:![X7]:s(X1,happ(s(t_fun(X3,X1),happ(s(t_fun(X2,t_fun(X3,X1)),happ(s(t_fun(t_fun(t_h4s_pairs_prod(X2,X3),X1),t_fun(X2,t_fun(X3,X1))),X4),s(t_fun(t_h4s_pairs_prod(X2,X3),X1),X5))),s(X2,X6))),s(X3,X7)))=s(X1,happ(s(t_fun(t_h4s_pairs_prod(X2,X3),X1),X5),s(t_h4s_pairs_prod(X2,X3),h4s_pairs_u_2c(s(X2,X6),s(X3,X7)))))=>![X8]:(![X5]:![X6]:s(t_fun(X3,X1),happ(s(t_fun(X2,t_fun(X3,X1)),happ(s(t_fun(t_fun(t_h4s_pairs_prod(X2,X3),X1),t_fun(X2,t_fun(X3,X1))),X8),s(t_fun(t_h4s_pairs_prod(X2,X3),X1),X5))),s(X2,X6)))=s(t_fun(X3,X1),happ(s(t_fun(X2,t_fun(X3,X1)),happ(s(t_fun(t_fun(t_h4s_pairs_prod(X2,X3),X1),t_fun(X2,t_fun(X3,X1))),X4),s(t_fun(t_h4s_pairs_prod(X2,X3),X1),X5))),s(X2,X6)))=>![X5]:![X9]:s(X1,happ(s(t_fun(t_h4s_pairs_prod(X2,X3),X1),X5),s(t_h4s_pairs_prod(X2,X3),X9)))=s(X1,h4s_pairs_uncurry(s(t_fun(X2,t_fun(X3,X1)),happ(s(t_fun(t_fun(t_h4s_pairs_prod(X2,X3),X1),t_fun(X2,t_fun(X3,X1))),X8),s(t_fun(t_h4s_pairs_prod(X2,X3),X1),X5))),s(t_h4s_pairs_prod(X2,X3),X9))))),file('i/f/pair/LAMBDA__PROD', ch4s_pairs_LAMBDAu_u_PROD)).
fof(5, axiom,![X2]:![X3]:![X9]:?[X17]:?[X18]:s(t_h4s_pairs_prod(X2,X3),X9)=s(t_h4s_pairs_prod(X2,X3),h4s_pairs_u_2c(s(X2,X17),s(X3,X18))),file('i/f/pair/LAMBDA__PROD', ah4s_pairs_ABSu_u_PAIRu_u_THM)).
fof(6, axiom,![X1]:![X2]:![X3]:![X19]:![X12]:s(X1,h4s_pairs_uncurry(s(t_fun(X2,t_fun(X3,X1)),X12),s(t_h4s_pairs_prod(X2,X3),X19)))=s(X1,happ(s(t_fun(X3,X1),happ(s(t_fun(X2,t_fun(X3,X1)),X12),s(X2,h4s_pairs_fst(s(t_h4s_pairs_prod(X2,X3),X19))))),s(X3,h4s_pairs_snd(s(t_h4s_pairs_prod(X2,X3),X19))))),file('i/f/pair/LAMBDA__PROD', ah4s_pairs_UNCURRY0)).
fof(7, axiom,![X3]:![X2]:![X20]:![X9]:s(X2,h4s_pairs_fst(s(t_h4s_pairs_prod(X2,X3),h4s_pairs_u_2c(s(X2,X9),s(X3,X20)))))=s(X2,X9),file('i/f/pair/LAMBDA__PROD', ah4s_pairs_FST0)).
fof(8, axiom,![X2]:![X3]:![X20]:![X9]:s(X3,h4s_pairs_snd(s(t_h4s_pairs_prod(X2,X3),h4s_pairs_u_2c(s(X2,X9),s(X3,X20)))))=s(X3,X20),file('i/f/pair/LAMBDA__PROD', ah4s_pairs_SND0)).
# SZS output end CNFRefutation
