# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:(p(s(t_bool,h4s_rats_ratu_u_les(s(t_h4s_rats_rat,X1),s(t_h4s_rats_rat,h4s_rats_ratu_u_ofu_u_num(s(t_h4s_nums_num,h4s_nums_0))))))=>s(t_bool,h4s_rats_ratu_u_les(s(t_h4s_rats_rat,h4s_rats_ratu_u_mul(s(t_h4s_rats_rat,X1),s(t_h4s_rats_rat,X2))),s(t_h4s_rats_rat,h4s_rats_ratu_u_mul(s(t_h4s_rats_rat,X1),s(t_h4s_rats_rat,X3)))))=s(t_bool,h4s_rats_ratu_u_les(s(t_h4s_rats_rat,X3),s(t_h4s_rats_rat,X2)))),file('i/f/rat/RAT__LES__LMUL__NEG', ch4s_rats_RATu_u_LESu_u_LMULu_u_NEG)).
fof(2, axiom,~(p(s(t_bool,f))),file('i/f/rat/RAT__LES__LMUL__NEG', aHLu_FALSITY)).
fof(26, axiom,![X1]:![X2]:![X3]:(p(s(t_bool,h4s_rats_ratu_u_les(s(t_h4s_rats_rat,X1),s(t_h4s_rats_rat,h4s_rats_ratu_u_ofu_u_num(s(t_h4s_nums_num,h4s_nums_0))))))=>s(t_bool,h4s_rats_ratu_u_les(s(t_h4s_rats_rat,h4s_rats_ratu_u_mul(s(t_h4s_rats_rat,X2),s(t_h4s_rats_rat,X1))),s(t_h4s_rats_rat,h4s_rats_ratu_u_mul(s(t_h4s_rats_rat,X3),s(t_h4s_rats_rat,X1)))))=s(t_bool,h4s_rats_ratu_u_les(s(t_h4s_rats_rat,X3),s(t_h4s_rats_rat,X2)))),file('i/f/rat/RAT__LES__LMUL__NEG', ah4s_rats_RATu_u_LESu_u_RMULu_u_NEG)).
fof(27, axiom,![X13]:![X14]:s(t_h4s_rats_rat,h4s_rats_ratu_u_mul(s(t_h4s_rats_rat,X14),s(t_h4s_rats_rat,X13)))=s(t_h4s_rats_rat,h4s_rats_ratu_u_mul(s(t_h4s_rats_rat,X13),s(t_h4s_rats_rat,X14))),file('i/f/rat/RAT__LES__LMUL__NEG', ah4s_rats_RATu_u_MULu_u_COMM)).
fof(28, axiom,![X6]:(s(t_bool,X6)=s(t_bool,t)|s(t_bool,X6)=s(t_bool,f)),file('i/f/rat/RAT__LES__LMUL__NEG', aHLu_BOOLu_CASES)).
fof(29, axiom,p(s(t_bool,t)),file('i/f/rat/RAT__LES__LMUL__NEG', aHLu_TRUTH)).
fof(31, axiom,![X6]:(s(t_bool,X6)=s(t_bool,t)<=>p(s(t_bool,X6))),file('i/f/rat/RAT__LES__LMUL__NEG', ah4s_bools_EQu_u_CLAUSESu_c1)).
# SZS output end CNFRefutation
