# 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(6, axiom,![X9]:(s(t_bool,X9)=s(t_bool,t)<=>p(s(t_bool,X9))),file('i/f/pair/ELIM__PEXISTS', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(9, axiom,![X2]:![X1]:![X15]:![X14]:s(X1,h4s_pairs_fst(s(t_h4s_pairs_prod(X1,X2),h4s_pairs_u_2c(s(X1,X14),s(X2,X15)))))=s(X1,X14),file('i/f/pair/ELIM__PEXISTS', ah4s_pairs_FST0)).
fof(10, axiom,![X1]:![X2]:![X15]:![X14]:s(X2,h4s_pairs_snd(s(t_h4s_pairs_prod(X1,X2),h4s_pairs_u_2c(s(X1,X14),s(X2,X15)))))=s(X2,X15),file('i/f/pair/ELIM__PEXISTS', ah4s_pairs_SND0)).
# SZS output end CNFRefutation
