# 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__PFORALL', ch4s_pairs_ELIMu_u_PFORALL)).
fof(30, axiom,![X1]:![X2]:![X9]:s(t_h4s_pairs_prod(X1,X2),h4s_pairs_u_2c(s(X1,h4s_pairs_fst(s(t_h4s_pairs_prod(X1,X2),X9))),s(X2,h4s_pairs_snd(s(t_h4s_pairs_prod(X1,X2),X9)))))=s(t_h4s_pairs_prod(X1,X2),X9),file('i/f/pair/ELIM__PFORALL', ah4s_pairs_PAIR)).
fof(40, axiom,![X1]:![X2]:![X3]:(![X4]:p(s(t_bool,happ(s(t_fun(t_h4s_pairs_prod(X1,X2),t_bool),X3),s(t_h4s_pairs_prod(X1,X2),X4))))<=>![X28]:![X29]:p(s(t_bool,happ(s(t_fun(t_h4s_pairs_prod(X1,X2),t_bool),X3),s(t_h4s_pairs_prod(X1,X2),h4s_pairs_u_2c(s(X1,X28),s(X2,X29))))))),file('i/f/pair/ELIM__PFORALL', ah4s_pairs_FORALLu_u_PROD)).
fof(44, axiom,![X25]:![X1]:![X2]:![X10]:![X9]:![X11]:s(X25,happ(s(t_fun(t_h4s_pairs_prod(X1,X2),X25),h4s_pairs_uncurry(s(t_fun(X1,t_fun(X2,X25)),X11))),s(t_h4s_pairs_prod(X1,X2),h4s_pairs_u_2c(s(X1,X9),s(X2,X10)))))=s(X25,happ(s(t_fun(X2,X25),happ(s(t_fun(X1,t_fun(X2,X25)),X11),s(X1,X9))),s(X2,X10))),file('i/f/pair/ELIM__PFORALL', ah4s_pairs_UNCURRYu_u_DEF)).
# SZS output end CNFRefutation
