# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:(?[X4]:p(s(t_bool,happ(s(t_fun(X2,t_bool),happ(s(t_fun(X1,t_fun(X2,t_bool)),X3),s(X1,h4s_pairs_fst(s(t_h4s_pairs_prod(X1,X2),X4))))),s(X2,h4s_pairs_snd(s(t_h4s_pairs_prod(X1,X2),X4))))))<=>?[X5]:?[X6]:p(s(t_bool,happ(s(t_fun(X2,t_bool),happ(s(t_fun(X1,t_fun(X2,t_bool)),X3),s(X1,X5))),s(X2,X6))))),file('i/f/pair/ELIM__PEXISTS', ch4s_pairs_ELIMu_u_PEXISTS)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/pair/ELIM__PEXISTS', aHLu_TRUTH)).
fof(8, axiom,![X12]:(s(t_bool,X12)=s(t_bool,t)<=>p(s(t_bool,X12))),file('i/f/pair/ELIM__PEXISTS', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(68, axiom,![X27]:![X1]:![X2]:![X18]:![X9]:s(X27,happ(s(t_fun(t_h4s_pairs_prod(X1,X2),X27),h4s_pairs_uncurry(s(t_fun(X1,t_fun(X2,X27)),X9))),s(t_h4s_pairs_prod(X1,X2),X18)))=s(X27,happ(s(t_fun(X2,X27),happ(s(t_fun(X1,t_fun(X2,X27)),X9),s(X1,h4s_pairs_fst(s(t_h4s_pairs_prod(X1,X2),X18))))),s(X2,h4s_pairs_snd(s(t_h4s_pairs_prod(X1,X2),X18))))),file('i/f/pair/ELIM__PEXISTS', ah4s_pairs_UNCURRY0)).
fof(75, axiom,![X27]:![X1]:![X2]:![X8]:![X7]:![X9]:s(X27,happ(s(t_fun(t_h4s_pairs_prod(X1,X2),X27),h4s_pairs_uncurry(s(t_fun(X1,t_fun(X2,X27)),X9))),s(t_h4s_pairs_prod(X1,X2),h4s_pairs_u_2c(s(X1,X7),s(X2,X8)))))=s(X27,happ(s(t_fun(X2,X27),happ(s(t_fun(X1,t_fun(X2,X27)),X9),s(X1,X7))),s(X2,X8))),file('i/f/pair/ELIM__PEXISTS', ah4s_pairs_UNCURRYu_u_DEF)).
# SZS output end CNFRefutation
