# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:(p(s(t_bool,h4s_rats_ratu_u_les(s(t_h4s_rats_rat,X2),s(t_h4s_rats_rat,h4s_rats_ratu_u_ofu_u_num(s(t_h4s_nums_num,h4s_nums_0))))))=>(p(s(t_bool,h4s_rats_ratu_u_leq(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))))))=>p(s(t_bool,h4s_rats_ratu_u_les(s(t_h4s_rats_rat,h4s_rats_ratu_u_add(s(t_h4s_rats_rat,X2),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)))))))),file('i/f/rat/RAT__LES0__LEQ0__ADD', ch4s_rats_RATu_u_LES0u_u_LEQ0u_u_ADD)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/rat/RAT__LES0__LEQ0__ADD', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/rat/RAT__LES0__LEQ0__ADD', aHLu_FALSITY)).
fof(19, axiom,![X5]:(s(t_bool,X5)=s(t_bool,f)<=>~(p(s(t_bool,X5)))),file('i/f/rat/RAT__LES0__LEQ0__ADD', ah4s_bools_EQu_u_CLAUSESu_c3)).
fof(37, axiom,![X5]:(s(t_bool,X5)=s(t_bool,t)|s(t_bool,X5)=s(t_bool,f)),file('i/f/rat/RAT__LES0__LEQ0__ADD', aHLu_BOOLu_CASES)).
fof(39, axiom,![X1]:![X2]:(p(s(t_bool,h4s_rats_ratu_u_leq(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,X2),s(t_h4s_rats_rat,X1))))|s(t_h4s_rats_rat,X2)=s(t_h4s_rats_rat,X1))),file('i/f/rat/RAT__LES0__LEQ0__ADD', ah4s_rats_ratu_u_lequ_u_def)).
fof(40, axiom,![X1]:![X2]:(p(s(t_bool,h4s_rats_ratu_u_les(s(t_h4s_rats_rat,X2),s(t_h4s_rats_rat,h4s_rats_ratu_u_ofu_u_num(s(t_h4s_nums_num,h4s_nums_0))))))=>(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))))))=>p(s(t_bool,h4s_rats_ratu_u_les(s(t_h4s_rats_rat,h4s_rats_ratu_u_add(s(t_h4s_rats_rat,X2),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)))))))),file('i/f/rat/RAT__LES0__LEQ0__ADD', ah4s_rats_RATu_u_LES0u_u_LES0u_u_ADD)).
fof(41, axiom,![X14]:s(t_h4s_rats_rat,h4s_rats_ratu_u_add(s(t_h4s_rats_rat,X14),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,X14),file('i/f/rat/RAT__LES0__LEQ0__ADD', ah4s_rats_RATu_u_ADDu_u_RID)).
# SZS output end CNFRefutation
