# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:s(t_bool,h4s_integers_intu_u_ge(s(t_h4s_integers_int,X3),s(t_h4s_integers_int,h4s_integers_intu_u_add(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_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,h4s_integers_intu_u_mul(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_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_zero))))))))),s(t_h4s_integers_int,X3))))))),s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,h4s_nums_0))))),file('i/f/HolSmt/r091', ch4s_HolSmts_r091)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/HolSmt/r091', 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/HolSmt/r091', aHLu_BOOLu_CASES)).
fof(6, axiom,![X5]:![X6]:((p(s(t_bool,X6))=>p(s(t_bool,X5)))=>((p(s(t_bool,X5))=>p(s(t_bool,X6)))=>s(t_bool,X6)=s(t_bool,X5))),file('i/f/HolSmt/r091', ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
fof(21, axiom,![X4]:(s(t_bool,t)=s(t_bool,X4)<=>p(s(t_bool,X4))),file('i/f/HolSmt/r091', ah4s_bools_EQu_u_CLAUSESu_c0)).
fof(23, axiom,![X4]:(s(t_bool,f)=s(t_bool,X4)<=>~(p(s(t_bool,X4)))),file('i/f/HolSmt/r091', ah4s_bools_EQu_u_CLAUSESu_c2)).
fof(33, axiom,![X2]:![X3]:s(t_bool,h4s_integers_intu_u_ge(s(t_h4s_integers_int,X3),s(t_h4s_integers_int,X2)))=s(t_bool,h4s_integers_intu_u_le(s(t_h4s_integers_int,X2),s(t_h4s_integers_int,X3))),file('i/f/HolSmt/r091', ah4s_integers_intu_u_ge0)).
fof(34, axiom,![X2]:![X3]:(~(p(s(t_bool,h4s_integers_intu_u_le(s(t_h4s_integers_int,X3),s(t_h4s_integers_int,X2)))))<=>p(s(t_bool,h4s_integers_intu_u_lt(s(t_h4s_integers_int,X2),s(t_h4s_integers_int,X3))))),file('i/f/HolSmt/r091', ah4s_integers_INTu_u_NOTu_u_LE)).
fof(36, axiom,![X2]:![X3]:s(t_bool,h4s_integers_intu_u_le(s(t_h4s_integers_int,X3),s(t_h4s_integers_int,X2)))=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,X2),s(t_h4s_integers_int,h4s_integers_intu_u_neg(s(t_h4s_integers_int,X3))))))),file('i/f/HolSmt/r091', ah4s_intu_u_ariths_leu_u_moveu_u_allu_u_right)).
fof(39, axiom,![X3]:s(t_h4s_integers_int,h4s_integers_intu_u_mul(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))))))),s(t_h4s_integers_int,X3)))=s(t_h4s_integers_int,X3),file('i/f/HolSmt/r091', ah4s_integers_INTu_u_MULu_u_LID)).
fof(40, 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/r091', ah4s_integers_INTu_u_NEGu_u_0)).
fof(41, axiom,![X12]: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,X12)))=s(t_h4s_integers_int,X12),file('i/f/HolSmt/r091', ah4s_integers_INTu_u_ADDu_u_REDUCEu_c0)).
fof(45, axiom,![X2]:![X3]:s(t_h4s_integers_int,h4s_integers_intu_u_add(s(t_h4s_integers_int,X3),s(t_h4s_integers_int,X2)))=s(t_h4s_integers_int,h4s_integers_intu_u_add(s(t_h4s_integers_int,X2),s(t_h4s_integers_int,X3))),file('i/f/HolSmt/r091', ah4s_integers_INTu_u_ADDu_u_COMM)).
fof(46, axiom,![X1]:![X2]:![X3]:s(t_h4s_integers_int,h4s_integers_intu_u_add(s(t_h4s_integers_int,X3),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_add(s(t_h4s_integers_int,X3),s(t_h4s_integers_int,X2))),s(t_h4s_integers_int,X1))),file('i/f/HolSmt/r091', ah4s_integers_INTu_u_ADDu_u_ASSOC)).
fof(47, axiom,![X2]:![X3]: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,X3),s(t_h4s_integers_int,X2)))))=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,X3))),s(t_h4s_integers_int,h4s_integers_intu_u_neg(s(t_h4s_integers_int,X2))))),file('i/f/HolSmt/r091', ah4s_integers_INTu_u_NEGu_u_ADD)).
fof(48, axiom,![X2]:![X3]:s(t_h4s_integers_int,h4s_integers_intu_u_neg(s(t_h4s_integers_int,h4s_integers_intu_u_mul(s(t_h4s_integers_int,X3),s(t_h4s_integers_int,X2)))))=s(t_h4s_integers_int,h4s_integers_intu_u_mul(s(t_h4s_integers_int,h4s_integers_intu_u_neg(s(t_h4s_integers_int,X3))),s(t_h4s_integers_int,X2))),file('i/f/HolSmt/r091', ah4s_integers_INTu_u_NEGu_u_LMUL)).
fof(50, axiom,![X3]: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,X3)))))=s(t_h4s_integers_int,X3),file('i/f/HolSmt/r091', ah4s_integers_INTu_u_NEGNEG)).
# SZS output end CNFRefutation
