# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, axiom,p(s(t_bool,t)),file('i/f/rat/RAT__RSUB__LES', aHLu_TRUTH)).
fof(2, axiom,~(p(s(t_bool,f))),file('i/f/rat/RAT__RSUB__LES', aHLu_FALSITY)).
fof(3, axiom,![X1]:(s(t_bool,X1)=s(t_bool,t)|s(t_bool,X1)=s(t_bool,f)),file('i/f/rat/RAT__RSUB__LES', aHLu_BOOLu_CASES)).
fof(7, axiom,![X7]:![X8]:((p(s(t_bool,X8))=>p(s(t_bool,X7)))=>((p(s(t_bool,X7))=>p(s(t_bool,X8)))=>s(t_bool,X8)=s(t_bool,X7))),file('i/f/rat/RAT__RSUB__LES', ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
fof(20, axiom,![X1]:(s(t_bool,X1)=s(t_bool,t)<=>p(s(t_bool,X1))),file('i/f/rat/RAT__RSUB__LES', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(21, axiom,![X1]:(s(t_bool,X1)=s(t_bool,f)<=>~(p(s(t_bool,X1)))),file('i/f/rat/RAT__RSUB__LES', ah4s_bools_EQu_u_CLAUSESu_c3)).
fof(35, axiom,![X16]:![X17]:(p(s(t_bool,h4s_rats_ratu_u_les(s(t_h4s_rats_rat,X17),s(t_h4s_rats_rat,X16))))<=>s(t_h4s_integers_int,h4s_rats_ratu_u_sgn(s(t_h4s_rats_rat,h4s_rats_ratu_u_sub(s(t_h4s_rats_rat,X16),s(t_h4s_rats_rat,X17)))))=s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_zero)))))))),file('i/f/rat/RAT__RSUB__LES', ah4s_rats_ratu_u_lesu_u_def)).
fof(36, axiom,![X18]:![X19]:![X20]:s(t_h4s_rats_rat,h4s_rats_ratu_u_add(s(t_h4s_rats_rat,X20),s(t_h4s_rats_rat,h4s_rats_ratu_u_add(s(t_h4s_rats_rat,X19),s(t_h4s_rats_rat,X18)))))=s(t_h4s_rats_rat,h4s_rats_ratu_u_add(s(t_h4s_rats_rat,h4s_rats_ratu_u_add(s(t_h4s_rats_rat,X20),s(t_h4s_rats_rat,X19))),s(t_h4s_rats_rat,X18))),file('i/f/rat/RAT__RSUB__LES', ah4s_rats_RATu_u_ADDu_u_ASSOC)).
fof(37, axiom,![X19]:![X20]:s(t_h4s_rats_rat,h4s_rats_ratu_u_add(s(t_h4s_rats_rat,X20),s(t_h4s_rats_rat,X19)))=s(t_h4s_rats_rat,h4s_rats_ratu_u_add(s(t_h4s_rats_rat,X19),s(t_h4s_rats_rat,X20))),file('i/f/rat/RAT__RSUB__LES', ah4s_rats_RATu_u_ADDu_u_COMM)).
fof(38, axiom,![X16]:![X17]:s(t_h4s_rats_rat,h4s_rats_ratu_u_sub(s(t_h4s_rats_rat,X17),s(t_h4s_rats_rat,X16)))=s(t_h4s_rats_rat,h4s_rats_ratu_u_add(s(t_h4s_rats_rat,X17),s(t_h4s_rats_rat,h4s_rats_ratu_u_ainv(s(t_h4s_rats_rat,X16))))),file('i/f/rat/RAT__RSUB__LES', ah4s_rats_RATu_u_SUBu_u_ADDAINV)).
fof(39, axiom,![X16]:![X17]:s(t_h4s_rats_rat,h4s_rats_ratu_u_ainv(s(t_h4s_rats_rat,h4s_rats_ratu_u_add(s(t_h4s_rats_rat,X17),s(t_h4s_rats_rat,X16)))))=s(t_h4s_rats_rat,h4s_rats_ratu_u_add(s(t_h4s_rats_rat,h4s_rats_ratu_u_ainv(s(t_h4s_rats_rat,X17))),s(t_h4s_rats_rat,h4s_rats_ratu_u_ainv(s(t_h4s_rats_rat,X16))))),file('i/f/rat/RAT__RSUB__LES', ah4s_rats_RATu_u_AINVu_u_ADD)).
fof(40, conjecture,![X21]:![X16]:![X17]:s(t_bool,h4s_rats_ratu_u_les(s(t_h4s_rats_rat,X17),s(t_h4s_rats_rat,h4s_rats_ratu_u_sub(s(t_h4s_rats_rat,X16),s(t_h4s_rats_rat,X21)))))=s(t_bool,h4s_rats_ratu_u_les(s(t_h4s_rats_rat,h4s_rats_ratu_u_add(s(t_h4s_rats_rat,X17),s(t_h4s_rats_rat,X21))),s(t_h4s_rats_rat,X16))),file('i/f/rat/RAT__RSUB__LES', ch4s_rats_RATu_u_RSUBu_u_LES)).
# SZS output end CNFRefutation
