# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:(p(s(t_bool,h4s_integers_intu_u_lt(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,h4s_integers_intu_u_neg(s(t_h4s_integers_int,X2))),s(t_h4s_integers_int,X1))))))<=>~(p(s(t_bool,h4s_integers_intu_u_le(s(t_h4s_integers_int,X1),s(t_h4s_integers_int,X2)))))),file('i/f/HolSmt/r126', ch4s_HolSmts_r126)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/HolSmt/r126', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/HolSmt/r126', aHLu_FALSITY)).
fof(19, axiom,![X5]:(s(t_bool,t)=s(t_bool,X5)<=>p(s(t_bool,X5))),file('i/f/HolSmt/r126', ah4s_bools_EQu_u_CLAUSESu_c0)).
fof(21, axiom,![X5]:(s(t_bool,f)=s(t_bool,X5)<=>~(p(s(t_bool,X5)))),file('i/f/HolSmt/r126', ah4s_bools_EQu_u_CLAUSESu_c2)).
fof(31, axiom,![X5]:(s(t_bool,X5)=s(t_bool,t)|s(t_bool,X5)=s(t_bool,f)),file('i/f/HolSmt/r126', aHLu_BOOLu_CASES)).
fof(33, axiom,![X1]:![X2]:(p(s(t_bool,h4s_integers_intu_u_le(s(t_h4s_integers_int,X2),s(t_h4s_integers_int,X1))))<=>~(p(s(t_bool,h4s_integers_intu_u_lt(s(t_h4s_integers_int,X1),s(t_h4s_integers_int,X2)))))),file('i/f/HolSmt/r126', ah4s_integers_intu_u_le0)).
fof(34, axiom,![X1]:![X2]:(~(p(s(t_bool,h4s_integers_intu_u_le(s(t_h4s_integers_int,X2),s(t_h4s_integers_int,X1)))))<=>p(s(t_bool,h4s_integers_intu_u_lt(s(t_h4s_integers_int,X1),s(t_h4s_integers_int,X2))))),file('i/f/HolSmt/r126', ah4s_integers_INTu_u_NOTu_u_LE)).
fof(36, axiom,![X1]:![X2]: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,X1),s(t_h4s_integers_int,h4s_integers_intu_u_neg(s(t_h4s_integers_int,X2))))))),file('i/f/HolSmt/r126', ah4s_intu_u_ariths_leu_u_moveu_u_allu_u_right)).
fof(38, 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/HolSmt/r126', ah4s_integers_INTu_u_ADDu_u_COMM)).
fof(41, axiom,![X1]:![X2]:s(t_h4s_integers_int,h4s_integers_intu_u_neg(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,h4s_integers_intu_u_neg(s(t_h4s_integers_int,X2))),s(t_h4s_integers_int,h4s_integers_intu_u_neg(s(t_h4s_integers_int,X1))))),file('i/f/HolSmt/r126', ah4s_integers_INTu_u_NEGu_u_ADD)).
fof(42, axiom,![X2]:s(t_h4s_integers_int,h4s_integers_intu_u_neg(s(t_h4s_integers_int,h4s_integers_intu_u_neg(s(t_h4s_integers_int,X2)))))=s(t_h4s_integers_int,X2),file('i/f/HolSmt/r126', ah4s_integers_INTu_u_NEGNEG)).
fof(43, axiom,s(t_h4s_integers_int,h4s_integers_intu_u_neg(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_ofu_u_num(s(t_h4s_nums_num,h4s_nums_0))),file('i/f/HolSmt/r126', ah4s_integers_INTu_u_NEGu_u_0)).
fof(44, axiom,![X11]: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,X11)))=s(t_h4s_integers_int,X11),file('i/f/HolSmt/r126', ah4s_integers_INTu_u_ADDu_u_REDUCEu_c0)).
# SZS output end CNFRefutation
