# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:(p(s(t_bool,h4s_integers_intu_u_le(s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,h4s_nums_0))),s(t_h4s_integers_int,h4s_integers_intu_u_add(s(t_h4s_integers_int,X3),s(t_h4s_integers_int,X2))))))=>(p(s(t_bool,h4s_integers_intu_u_le(s(t_h4s_integers_int,X2),s(t_h4s_integers_int,X1))))=>s(t_bool,h4s_integers_intu_u_le(s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,h4s_nums_0))),s(t_h4s_integers_int,h4s_integers_intu_u_add(s(t_h4s_integers_int,X3),s(t_h4s_integers_int,X1)))))=s(t_bool,t))),file('i/f/int_arith/le__context__rwt1', ch4s_intu_u_ariths_leu_u_contextu_u_rwt1)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/int_arith/le__context__rwt1', aHLu_TRUTH)).
fof(4, axiom,![X4]:(s(t_bool,X4)=s(t_bool,t)|s(t_bool,X4)=s(t_bool,f)),file('i/f/int_arith/le__context__rwt1', aHLu_BOOLu_CASES)).
fof(21, axiom,![X4]:(s(t_bool,X4)=s(t_bool,t)<=>p(s(t_bool,X4))),file('i/f/int_arith/le__context__rwt1', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(22, axiom,![X4]:(s(t_bool,X4)=s(t_bool,f)<=>~(p(s(t_bool,X4)))),file('i/f/int_arith/le__context__rwt1', ah4s_bools_EQu_u_CLAUSESu_c3)).
fof(41, axiom,![X14]:![X1]:![X2]:s(t_bool,h4s_integers_intu_u_le(s(t_h4s_integers_int,h4s_integers_intu_u_add(s(t_h4s_integers_int,X2),s(t_h4s_integers_int,X1))),s(t_h4s_integers_int,h4s_integers_intu_u_add(s(t_h4s_integers_int,X2),s(t_h4s_integers_int,X14)))))=s(t_bool,h4s_integers_intu_u_le(s(t_h4s_integers_int,X1),s(t_h4s_integers_int,X14))),file('i/f/int_arith/le__context__rwt1', ah4s_integers_INTu_u_LEu_u_LADD)).
fof(42, axiom,![X14]:![X1]:![X2]:![X15]:((p(s(t_bool,h4s_integers_intu_u_le(s(t_h4s_integers_int,X15),s(t_h4s_integers_int,X2))))&p(s(t_bool,h4s_integers_intu_u_le(s(t_h4s_integers_int,X1),s(t_h4s_integers_int,X14)))))=>p(s(t_bool,h4s_integers_intu_u_le(s(t_h4s_integers_int,h4s_integers_intu_u_add(s(t_h4s_integers_int,X15),s(t_h4s_integers_int,X1))),s(t_h4s_integers_int,h4s_integers_intu_u_add(s(t_h4s_integers_int,X2),s(t_h4s_integers_int,X14))))))),file('i/f/int_arith/le__context__rwt1', ah4s_integers_INTu_u_LEu_u_ADD2)).
fof(43, axiom,![X1]:![X2]:s(t_h4s_integers_int,h4s_integers_intu_u_add(s(t_h4s_integers_int,X2),s(t_h4s_integers_int,X1)))=s(t_h4s_integers_int,h4s_integers_intu_u_add(s(t_h4s_integers_int,X1),s(t_h4s_integers_int,X2))),file('i/f/int_arith/le__context__rwt1', ah4s_integers_INTu_u_ADDu_u_COMM)).
fof(44, axiom,![X14]:![X1]:![X2]:s(t_h4s_integers_int,h4s_integers_intu_u_add(s(t_h4s_integers_int,X2),s(t_h4s_integers_int,h4s_integers_intu_u_add(s(t_h4s_integers_int,X1),s(t_h4s_integers_int,X14)))))=s(t_h4s_integers_int,h4s_integers_intu_u_add(s(t_h4s_integers_int,h4s_integers_intu_u_add(s(t_h4s_integers_int,X2),s(t_h4s_integers_int,X1))),s(t_h4s_integers_int,X14))),file('i/f/int_arith/le__context__rwt1', ah4s_integers_INTu_u_ADDu_u_ASSOC)).
fof(45, axiom,![X2]:s(t_h4s_integers_int,h4s_integers_intu_u_add(s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,h4s_nums_0))),s(t_h4s_integers_int,X2)))=s(t_h4s_integers_int,X2),file('i/f/int_arith/le__context__rwt1', ah4s_integers_INTu_u_ADDu_u_LID)).
# SZS output end CNFRefutation
