# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:s(t_h4s_rats_rat,h4s_rats_ratu_u_sub(s(t_h4s_rats_rat,X2),s(t_h4s_rats_rat,X1)))=s(t_h4s_rats_rat,h4s_rats_ratu_u_add(s(t_h4s_rats_rat,X2),s(t_h4s_rats_rat,h4s_rats_ratu_u_ainv(s(t_h4s_rats_rat,X1))))),file('i/f/rat/RAT__SUB__ADDAINV', ch4s_rats_RATu_u_SUBu_u_ADDAINV)).
fof(5, axiom,![X5]:![X4]:s(t_h4s_rats_rat,h4s_rats_absu_u_rat(s(t_h4s_fracs_frac,h4s_fracs_fracu_u_add(s(t_h4s_fracs_frac,X4),s(t_h4s_fracs_frac,h4s_rats_repu_u_rat(s(t_h4s_rats_rat,h4s_rats_absu_u_rat(s(t_h4s_fracs_frac,X5)))))))))=s(t_h4s_rats_rat,h4s_rats_absu_u_rat(s(t_h4s_fracs_frac,h4s_fracs_fracu_u_add(s(t_h4s_fracs_frac,X4),s(t_h4s_fracs_frac,X5))))),file('i/f/rat/RAT__SUB__ADDAINV', ah4s_rats_RATu_u_ADDu_u_CONGu_c1)).
fof(6, axiom,![X1]:![X2]:s(t_h4s_rats_rat,h4s_rats_ratu_u_add(s(t_h4s_rats_rat,X2),s(t_h4s_rats_rat,X1)))=s(t_h4s_rats_rat,h4s_rats_absu_u_rat(s(t_h4s_fracs_frac,h4s_fracs_fracu_u_add(s(t_h4s_fracs_frac,h4s_rats_repu_u_rat(s(t_h4s_rats_rat,X2))),s(t_h4s_fracs_frac,h4s_rats_repu_u_rat(s(t_h4s_rats_rat,X1))))))),file('i/f/rat/RAT__SUB__ADDAINV', ah4s_rats_ratu_u_addu_u_def)).
fof(7, axiom,![X2]:s(t_h4s_rats_rat,h4s_rats_ratu_u_ainv(s(t_h4s_rats_rat,X2)))=s(t_h4s_rats_rat,h4s_rats_absu_u_rat(s(t_h4s_fracs_frac,h4s_fracs_fracu_u_ainv(s(t_h4s_fracs_frac,h4s_rats_repu_u_rat(s(t_h4s_rats_rat,X2))))))),file('i/f/rat/RAT__SUB__ADDAINV', ah4s_rats_ratu_u_ainvu_u_def)).
fof(8, axiom,![X1]:![X2]:s(t_h4s_rats_rat,h4s_rats_ratu_u_sub(s(t_h4s_rats_rat,X2),s(t_h4s_rats_rat,X1)))=s(t_h4s_rats_rat,h4s_rats_absu_u_rat(s(t_h4s_fracs_frac,h4s_fracs_fracu_u_sub(s(t_h4s_fracs_frac,h4s_rats_repu_u_rat(s(t_h4s_rats_rat,X2))),s(t_h4s_fracs_frac,h4s_rats_repu_u_rat(s(t_h4s_rats_rat,X1))))))),file('i/f/rat/RAT__SUB__ADDAINV', ah4s_rats_ratu_u_subu_u_def)).
fof(11, axiom,![X7]:![X8]:s(t_h4s_fracs_frac,h4s_fracs_fracu_u_sub(s(t_h4s_fracs_frac,X8),s(t_h4s_fracs_frac,X7)))=s(t_h4s_fracs_frac,h4s_fracs_fracu_u_add(s(t_h4s_fracs_frac,X8),s(t_h4s_fracs_frac,h4s_fracs_fracu_u_ainv(s(t_h4s_fracs_frac,X7))))),file('i/f/rat/RAT__SUB__ADDAINV', ah4s_fracs_fracu_u_subu_u_def)).
# SZS output end CNFRefutation
