# 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(18, 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(19, 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(38, 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)).
fof(41, axiom,![X16]:![X17]:(p(s(t_bool,h4s_rats_ratu_u_leq(s(t_h4s_rats_rat,X17),s(t_h4s_rats_rat,X16))))<=>(p(s(t_bool,h4s_rats_ratu_u_les(s(t_h4s_rats_rat,X17),s(t_h4s_rats_rat,X16))))|s(t_h4s_rats_rat,X17)=s(t_h4s_rats_rat,X16))),file('i/f/rat/RAT__LEQ__LES__TRANS', ah4s_rats_ratu_u_lequ_u_def)).
fof(42, axiom,![X18]:![X16]:![X17]:((p(s(t_bool,h4s_rats_ratu_u_les(s(t_h4s_rats_rat,X17),s(t_h4s_rats_rat,X16))))&p(s(t_bool,h4s_rats_ratu_u_les(s(t_h4s_rats_rat,X16),s(t_h4s_rats_rat,X18)))))=>p(s(t_bool,h4s_rats_ratu_u_les(s(t_h4s_rats_rat,X17),s(t_h4s_rats_rat,X18))))),file('i/f/rat/RAT__LEQ__LES__TRANS', ah4s_rats_RATu_u_LESu_u_TRANS)).
# SZS output end CNFRefutation
