# 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_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__LES__TRANS', ch4s_rats_RATu_u_LEQu_u_LESu_u_TRANS)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/rat/RAT__LEQ__LES__TRANS', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/rat/RAT__LEQ__LES__TRANS', aHLu_FALSITY)).
fof(20, axiom,![X6]:(s(t_bool,X6)=s(t_bool,t)<=>p(s(t_bool,X6))),file('i/f/rat/RAT__LEQ__LES__TRANS', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(32, axiom,![X6]:(s(t_bool,X6)=s(t_bool,f)<=>~(p(s(t_bool,X6)))),file('i/f/rat/RAT__LEQ__LES__TRANS', ah4s_bools_EQu_u_CLAUSESu_c3)).
fof(45, axiom,![X20]:![X21]:(p(s(t_bool,h4s_rats_ratu_u_leq(s(t_h4s_rats_rat,X21),s(t_h4s_rats_rat,X20))))<=>(p(s(t_bool,h4s_rats_ratu_u_les(s(t_h4s_rats_rat,X21),s(t_h4s_rats_rat,X20))))|s(t_h4s_rats_rat,X21)=s(t_h4s_rats_rat,X20))),file('i/f/rat/RAT__LEQ__LES__TRANS', ah4s_rats_ratu_u_lequ_u_def)).
fof(51, axiom,![X22]:![X20]:![X21]:((p(s(t_bool,h4s_rats_ratu_u_les(s(t_h4s_rats_rat,X21),s(t_h4s_rats_rat,X20))))&p(s(t_bool,h4s_rats_ratu_u_les(s(t_h4s_rats_rat,X20),s(t_h4s_rats_rat,X22)))))=>p(s(t_bool,h4s_rats_ratu_u_les(s(t_h4s_rats_rat,X21),s(t_h4s_rats_rat,X22))))),file('i/f/rat/RAT__LEQ__LES__TRANS', ah4s_rats_RATu_u_LESu_u_TRANS)).
fof(58, axiom,![X6]:(s(t_bool,X6)=s(t_bool,t)|s(t_bool,X6)=s(t_bool,f)),file('i/f/rat/RAT__LEQ__LES__TRANS', aHLu_BOOLu_CASES)).
# SZS output end CNFRefutation
