# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:s(t_h4s_pairs_prod(t_h4s_hreals_hreal,t_h4s_hreals_hreal),h4s_realaxs_trealu_u_add(s(t_h4s_pairs_prod(t_h4s_hreals_hreal,t_h4s_hreals_hreal),X2),s(t_h4s_pairs_prod(t_h4s_hreals_hreal,t_h4s_hreals_hreal),X1)))=s(t_h4s_pairs_prod(t_h4s_hreals_hreal,t_h4s_hreals_hreal),h4s_realaxs_trealu_u_add(s(t_h4s_pairs_prod(t_h4s_hreals_hreal,t_h4s_hreals_hreal),X1),s(t_h4s_pairs_prod(t_h4s_hreals_hreal,t_h4s_hreals_hreal),X2))),file('i/f/realax/TREAL__ADD__SYM', ch4s_realaxs_TREALu_u_ADDu_u_SYM)).
fof(5, axiom,![X4]:![X5]:s(t_h4s_hreals_hreal,h4s_hreals_hrealu_u_add(s(t_h4s_hreals_hreal,X5),s(t_h4s_hreals_hreal,X4)))=s(t_h4s_hreals_hreal,h4s_hreals_hrealu_u_add(s(t_h4s_hreals_hreal,X4),s(t_h4s_hreals_hreal,X5))),file('i/f/realax/TREAL__ADD__SYM', ah4s_hreals_HREALu_u_ADDu_u_SYM)).
fof(6, axiom,![X6]:![X7]:![X8]:![X9]:s(t_h4s_pairs_prod(t_h4s_hreals_hreal,t_h4s_hreals_hreal),h4s_realaxs_trealu_u_add(s(t_h4s_pairs_prod(t_h4s_hreals_hreal,t_h4s_hreals_hreal),h4s_pairs_u_2c(s(t_h4s_hreals_hreal,X9),s(t_h4s_hreals_hreal,X7))),s(t_h4s_pairs_prod(t_h4s_hreals_hreal,t_h4s_hreals_hreal),h4s_pairs_u_2c(s(t_h4s_hreals_hreal,X8),s(t_h4s_hreals_hreal,X6)))))=s(t_h4s_pairs_prod(t_h4s_hreals_hreal,t_h4s_hreals_hreal),h4s_pairs_u_2c(s(t_h4s_hreals_hreal,h4s_hreals_hrealu_u_add(s(t_h4s_hreals_hreal,X9),s(t_h4s_hreals_hreal,X8))),s(t_h4s_hreals_hreal,h4s_hreals_hrealu_u_add(s(t_h4s_hreals_hreal,X7),s(t_h4s_hreals_hreal,X6))))),file('i/f/realax/TREAL__ADD__SYM', ah4s_realaxs_trealu_u_add0)).
fof(7, axiom,![X10]:![X11]:![X2]:s(t_h4s_pairs_prod(X10,X11),h4s_pairs_u_2c(s(X10,h4s_pairs_fst(s(t_h4s_pairs_prod(X10,X11),X2))),s(X11,h4s_pairs_snd(s(t_h4s_pairs_prod(X10,X11),X2)))))=s(t_h4s_pairs_prod(X10,X11),X2),file('i/f/realax/TREAL__ADD__SYM', ah4s_pairs_PAIR)).
# SZS output end CNFRefutation
