# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:(s(t_h4s_pairs_prod(X1,X2),X4)=s(t_h4s_pairs_prod(X1,X2),X3)<=>(s(X1,h4s_pairs_fst(s(t_h4s_pairs_prod(X1,X2),X4)))=s(X1,h4s_pairs_fst(s(t_h4s_pairs_prod(X1,X2),X3)))&s(X2,h4s_pairs_snd(s(t_h4s_pairs_prod(X1,X2),X4)))=s(X2,h4s_pairs_snd(s(t_h4s_pairs_prod(X1,X2),X3))))),file('i/f/pair/PAIR__FST__SND__EQ', ch4s_pairs_PAIRu_u_FSTu_u_SNDu_u_EQ)).
fof(6, axiom,![X1]:![X2]:![X5]:?[X3]:?[X9]:s(t_h4s_pairs_prod(X1,X2),X5)=s(t_h4s_pairs_prod(X1,X2),h4s_pairs_u_2c(s(X1,X3),s(X2,X9))),file('i/f/pair/PAIR__FST__SND__EQ', ah4s_pairs_ABSu_u_PAIRu_u_THM)).
fof(7, axiom,![X1]:![X2]:![X6]:![X5]:s(X2,h4s_pairs_snd(s(t_h4s_pairs_prod(X1,X2),h4s_pairs_u_2c(s(X1,X5),s(X2,X6)))))=s(X2,X6),file('i/f/pair/PAIR__FST__SND__EQ', ah4s_pairs_SND0)).
fof(8, axiom,![X2]:![X1]:![X6]:![X5]:s(X1,h4s_pairs_fst(s(t_h4s_pairs_prod(X1,X2),h4s_pairs_u_2c(s(X1,X5),s(X2,X6)))))=s(X1,X5),file('i/f/pair/PAIR__FST__SND__EQ', ah4s_pairs_FST0)).
# SZS output end CNFRefutation
