# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:((p(s(t_bool,h4s_rats_ratu_u_leq(s(t_h4s_rats_rat,X3),s(t_h4s_rats_rat,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,X3),s(t_h4s_rats_rat,X1))))),file('i/f/rat/RAT__LEQ__TRANS', ch4s_rats_RATu_u_LEQu_u_TRANS)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/rat/RAT__LEQ__TRANS', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/rat/RAT__LEQ__TRANS', aHLu_FALSITY)).
fof(12, axiom,![X6]:(s(t_bool,X6)=s(t_bool,t)<=>p(s(t_bool,X6))),file('i/f/rat/RAT__LEQ__TRANS', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(26, axiom,![X6]:(s(t_bool,X6)=s(t_bool,t)|s(t_bool,X6)=s(t_bool,f)),file('i/f/rat/RAT__LEQ__TRANS', aHLu_BOOLu_CASES)).
fof(28, axiom,![X2]:![X3]:(p(s(t_bool,h4s_rats_ratu_u_leq(s(t_h4s_rats_rat,X3),s(t_h4s_rats_rat,X2))))<=>(p(s(t_bool,h4s_rats_ratu_u_les(s(t_h4s_rats_rat,X3),s(t_h4s_rats_rat,X2))))|s(t_h4s_rats_rat,X3)=s(t_h4s_rats_rat,X2))),file('i/f/rat/RAT__LEQ__TRANS', ah4s_rats_ratu_u_lequ_u_def)).
fof(29, axiom,![X1]:![X2]:![X3]:((p(s(t_bool,h4s_rats_ratu_u_les(s(t_h4s_rats_rat,X3),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)))))=>p(s(t_bool,h4s_rats_ratu_u_les(s(t_h4s_rats_rat,X3),s(t_h4s_rats_rat,X1))))),file('i/f/rat/RAT__LEQ__TRANS', ah4s_rats_RATu_u_LESu_u_TRANS)).
# SZS output end CNFRefutation
