# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:(p(s(t_bool,h4s_rats_ratu_u_les(s(t_h4s_rats_rat,X2),s(t_h4s_rats_rat,X1))))<=>(p(s(t_bool,h4s_rats_ratu_u_leq(s(t_h4s_rats_rat,X2),s(t_h4s_rats_rat,X1))))&~(p(s(t_bool,h4s_rats_ratu_u_leq(s(t_h4s_rats_rat,X1),s(t_h4s_rats_rat,X2))))))),file('i/f/rat/RAT__LES__LEQ2', ch4s_rats_RATu_u_LESu_u_LEQ2)).
fof(8, axiom,![X1]:![X2]:(p(s(t_bool,h4s_rats_ratu_u_les(s(t_h4s_rats_rat,X2),s(t_h4s_rats_rat,X1))))=>~(s(t_h4s_rats_rat,X2)=s(t_h4s_rats_rat,X1))),file('i/f/rat/RAT__LES__LEQ2', ah4s_rats_RATu_u_LESu_u_IMPu_u_NEQ)).
fof(51, axiom,![X1]:![X2]:(p(s(t_bool,h4s_rats_ratu_u_leq(s(t_h4s_rats_rat,X2),s(t_h4s_rats_rat,X1))))<=>(p(s(t_bool,h4s_rats_ratu_u_les(s(t_h4s_rats_rat,X2),s(t_h4s_rats_rat,X1))))|s(t_h4s_rats_rat,X2)=s(t_h4s_rats_rat,X1))),file('i/f/rat/RAT__LES__LEQ2', ah4s_rats_ratu_u_lequ_u_def)).
fof(53, axiom,![X1]:![X2]:(~(p(s(t_bool,h4s_rats_ratu_u_leq(s(t_h4s_rats_rat,X1),s(t_h4s_rats_rat,X2)))))<=>p(s(t_bool,h4s_rats_ratu_u_les(s(t_h4s_rats_rat,X2),s(t_h4s_rats_rat,X1))))),file('i/f/rat/RAT__LES__LEQ2', ah4s_rats_RATu_u_LESu_u_LEQ)).
fof(55, axiom,![X1]:![X2]:((p(s(t_bool,h4s_rats_ratu_u_leq(s(t_h4s_rats_rat,X2),s(t_h4s_rats_rat,X1))))&p(s(t_bool,h4s_rats_ratu_u_leq(s(t_h4s_rats_rat,X1),s(t_h4s_rats_rat,X2)))))=>s(t_h4s_rats_rat,X2)=s(t_h4s_rats_rat,X1)),file('i/f/rat/RAT__LES__LEQ2', ah4s_rats_RATu_u_LEQu_u_ANTISYM)).
# SZS output end CNFRefutation
