# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:![X5]:s(X1,happ(s(t_fun(t_h4s_pairs_prod(X2,X3),X1),h4s_pairs_uncurry(s(t_fun(X2,t_fun(X3,X1)),X5))),s(t_h4s_pairs_prod(X2,X3),X4)))=s(X1,happ(s(t_fun(X3,X1),happ(s(t_fun(X2,t_fun(X3,X1)),X5),s(X2,happ(s(t_fun(t_h4s_pairs_prod(X2,X3),X2),h4s_pairs_fst),s(t_h4s_pairs_prod(X2,X3),X4))))),s(X3,happ(s(t_fun(t_h4s_pairs_prod(X2,X3),X3),h4s_pairs_snd),s(t_h4s_pairs_prod(X2,X3),X4))))),file('i/f/util_prob/PAIRED__BETA__THM', ch4s_utilu_u_probs_PAIREDu_u_BETAu_u_THM)).
fof(34, axiom,![X1]:![X2]:![X3]:![X20]:![X5]:s(X1,happ(s(t_fun(t_h4s_pairs_prod(X2,X3),X1),h4s_pairs_uncurry(s(t_fun(X2,t_fun(X3,X1)),X5))),s(t_h4s_pairs_prod(X2,X3),X20)))=s(X1,happ(s(t_fun(X3,X1),happ(s(t_fun(X2,t_fun(X3,X1)),X5),s(X2,happ(s(t_fun(t_h4s_pairs_prod(X2,X3),X2),h4s_pairs_fst),s(t_h4s_pairs_prod(X2,X3),X20))))),s(X3,happ(s(t_fun(t_h4s_pairs_prod(X2,X3),X3),h4s_pairs_snd),s(t_h4s_pairs_prod(X2,X3),X20))))),file('i/f/util_prob/PAIRED__BETA__THM', ah4s_pairs_UNCURRY0)).
fof(53, axiom,![X2]:![X3]:![X1]:![X23]:![X5]:s(X2,h4s_pairs_pairu_u_case(s(t_h4s_pairs_prod(X3,X1),X23),s(t_fun(X3,t_fun(X1,X2)),X5)))=s(X2,happ(s(t_fun(X1,X2),happ(s(t_fun(X3,t_fun(X1,X2)),X5),s(X3,happ(s(t_fun(t_h4s_pairs_prod(X3,X1),X3),h4s_pairs_fst),s(t_h4s_pairs_prod(X3,X1),X23))))),s(X1,happ(s(t_fun(t_h4s_pairs_prod(X3,X1),X1),h4s_pairs_snd),s(t_h4s_pairs_prod(X3,X1),X23))))),file('i/f/util_prob/PAIRED__BETA__THM', ah4s_pairs_pairu_u_CASEu_u_def)).
# SZS output end CNFRefutation
