# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:(p(s(t_bool,h4s_integers_intu_u_lt(s(t_h4s_integers_int,X3),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,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,X2)))))),file('i/f/HolSmt/r121', ch4s_HolSmts_r121)).
fof(12, 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/r121', ah4s_integers_intu_u_le0)).
fof(13, 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/r121', ah4s_integers_INTu_u_NOTu_u_LE)).
fof(14, 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/r121', ah4s_intu_u_ariths_leu_u_moveu_u_allu_u_right)).
fof(16, 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/r121', ah4s_integers_INTu_u_ADDu_u_COMM)).
fof(17, 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/r121', ah4s_integers_INTu_u_ADDu_u_ASSOC)).
fof(19, 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/r121', ah4s_integers_INTu_u_NEGu_u_ADD)).
fof(20, axiom,![X10]: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,X10)))=s(t_h4s_integers_int,X10),file('i/f/HolSmt/r121', ah4s_integers_INTu_u_ADDu_u_REDUCEu_c0)).
fof(22, 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/r121', ah4s_integers_INTu_u_MULu_u_LID)).
fof(23, 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/r121', ah4s_integers_INTu_u_NEGu_u_LMUL)).
fof(25, 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/r121', ah4s_integers_INTu_u_NEGNEG)).
fof(26, 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/r121', ah4s_integers_INTu_u_NEGu_u_0)).
fof(29, axiom,![X2]:![X3]:s(t_bool,h4s_integers_intu_u_lt(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_add(s(t_h4s_integers_int,X3),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,X2))),file('i/f/HolSmt/r121', ah4s_intu_u_ariths_lessu_u_tou_u_lequ_u_samer)).
fof(30, axiom,~(p(s(t_bool,f))),file('i/f/HolSmt/r121', aHLu_FALSITY)).
fof(31, axiom,![X6]:(s(t_bool,X6)=s(t_bool,t)|s(t_bool,X6)=s(t_bool,f)),file('i/f/HolSmt/r121', aHLu_BOOLu_CASES)).
fof(39, axiom,![X6]:(s(t_bool,f)=s(t_bool,X6)<=>~(p(s(t_bool,X6)))),file('i/f/HolSmt/r121', ah4s_bools_EQu_u_CLAUSESu_c2)).
fof(44, axiom,p(s(t_bool,t)),file('i/f/HolSmt/r121', aHLu_TRUTH)).
# SZS output end CNFRefutation
