# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]: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),X3),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),h4s_realaxs_trealu_u_add(s(t_h4s_pairs_prod(t_h4s_hreals_hreal,t_h4s_hreals_hreal),X3),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))),file('i/f/realax/TREAL__ADD__ASSOC', ch4s_realaxs_TREALu_u_ADDu_u_ASSOC)).
fof(7, axiom,![X6]:![X7]:![X8]:s(t_h4s_hreals_hreal,h4s_hreals_hrealu_u_add(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)))))=s(t_h4s_hreals_hreal,h4s_hreals_hrealu_u_add(s(t_h4s_hreals_hreal,h4s_hreals_hrealu_u_add(s(t_h4s_hreals_hreal,X8),s(t_h4s_hreals_hreal,X7))),s(t_h4s_hreals_hreal,X6))),file('i/f/realax/TREAL__ADD__ASSOC', ah4s_hreals_HREALu_u_ADDu_u_ASSOC)).
fof(8, axiom,![X9]:![X10]:![X11]:![X12]: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,X12),s(t_h4s_hreals_hreal,X10))),s(t_h4s_pairs_prod(t_h4s_hreals_hreal,t_h4s_hreals_hreal),h4s_pairs_u_2c(s(t_h4s_hreals_hreal,X11),s(t_h4s_hreals_hreal,X9)))))=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,X12),s(t_h4s_hreals_hreal,X11))),s(t_h4s_hreals_hreal,h4s_hreals_hrealu_u_add(s(t_h4s_hreals_hreal,X10),s(t_h4s_hreals_hreal,X9))))),file('i/f/realax/TREAL__ADD__ASSOC', ah4s_realaxs_trealu_u_add0)).
fof(9, axiom,![X5]:![X13]:![X3]:s(t_h4s_pairs_prod(X5,X13),h4s_pairs_u_2c(s(X5,h4s_pairs_fst(s(t_h4s_pairs_prod(X5,X13),X3))),s(X13,h4s_pairs_snd(s(t_h4s_pairs_prod(X5,X13),X3)))))=s(t_h4s_pairs_prod(X5,X13),X3),file('i/f/realax/TREAL__ADD__ASSOC', ah4s_pairs_PAIR)).
# SZS output end CNFRefutation
