# 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,h4s_rats_ratu_u_ofu_u_num(s(t_h4s_nums_num,h4s_nums_0))),s(t_h4s_rats_rat,X1))))=>s(t_bool,h4s_rats_ratu_u_les(s(t_h4s_rats_rat,happ(s(t_fun(t_h4s_rats_rat,t_h4s_rats_rat),h4s_rats_ratu_u_mul(s(t_h4s_rats_rat,X1))),s(t_h4s_rats_rat,X3))),s(t_h4s_rats_rat,happ(s(t_fun(t_h4s_rats_rat,t_h4s_rats_rat),h4s_rats_ratu_u_mul(s(t_h4s_rats_rat,X1))),s(t_h4s_rats_rat,X2)))))=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__POS', ch4s_rats_RATu_u_LESu_u_LMULu_u_POS)).
fof(2, axiom,![X4]:![X5]:((p(s(t_bool,X5))=>p(s(t_bool,X4)))=>((p(s(t_bool,X4))=>p(s(t_bool,X5)))=>s(t_bool,X5)=s(t_bool,X4))),file('i/f/rat/RAT__LES__LMUL__POS', ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
fof(25, axiom,![X1]:![X2]:![X3]:(p(s(t_bool,h4s_rats_ratu_u_les(s(t_h4s_rats_rat,h4s_rats_ratu_u_ofu_u_num(s(t_h4s_nums_num,h4s_nums_0))),s(t_h4s_rats_rat,X1))))=>s(t_bool,h4s_rats_ratu_u_les(s(t_h4s_rats_rat,happ(s(t_fun(t_h4s_rats_rat,t_h4s_rats_rat),h4s_rats_ratu_u_mul(s(t_h4s_rats_rat,X3))),s(t_h4s_rats_rat,X1))),s(t_h4s_rats_rat,happ(s(t_fun(t_h4s_rats_rat,t_h4s_rats_rat),h4s_rats_ratu_u_mul(s(t_h4s_rats_rat,X2))),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__POS', ah4s_rats_RATu_u_LESu_u_RMULu_u_POS)).
fof(33, axiom,![X19]:![X20]:s(t_h4s_rats_rat,happ(s(t_fun(t_h4s_rats_rat,t_h4s_rats_rat),h4s_rats_ratu_u_mul(s(t_h4s_rats_rat,X20))),s(t_h4s_rats_rat,X19)))=s(t_h4s_rats_rat,happ(s(t_fun(t_h4s_rats_rat,t_h4s_rats_rat),h4s_rats_ratu_u_mul(s(t_h4s_rats_rat,X19))),s(t_h4s_rats_rat,X20))),file('i/f/rat/RAT__LES__LMUL__POS', ah4s_rats_RATu_u_MULu_u_COMM)).
fof(38, axiom,~(p(s(t_bool,f))),file('i/f/rat/RAT__LES__LMUL__POS', aHLu_FALSITY)).
fof(47, axiom,![X9]:(s(t_bool,X9)=s(t_bool,f)<=>~(p(s(t_bool,X9)))),file('i/f/rat/RAT__LES__LMUL__POS', ah4s_bools_EQu_u_CLAUSESu_c3)).
fof(59, axiom,p(s(t_bool,t)),file('i/f/rat/RAT__LES__LMUL__POS', aHLu_TRUTH)).
fof(61, axiom,![X9]:(s(t_bool,X9)=s(t_bool,t)<=>p(s(t_bool,X9))),file('i/f/rat/RAT__LES__LMUL__POS', ah4s_bools_EQu_u_CLAUSESu_c1)).
# SZS output end CNFRefutation
