# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, axiom,p(s(t_bool,t)),file('i/f/HolSmt/r100', aHLu_TRUTH)).
fof(21, axiom,![X1]:(s(t_bool,t)=s(t_bool,X1)<=>p(s(t_bool,X1))),file('i/f/HolSmt/r100', ah4s_bools_EQu_u_CLAUSESu_c0)).
fof(23, axiom,![X1]:(s(t_bool,f)=s(t_bool,X1)<=>~(p(s(t_bool,X1)))),file('i/f/HolSmt/r100', ah4s_bools_EQu_u_CLAUSESu_c2)).
fof(34, axiom,![X10]:![X6]:s(t_h4s_integers_int,h4s_integers_intu_u_add(s(t_h4s_integers_int,X6),s(t_h4s_integers_int,X10)))=s(t_h4s_integers_int,h4s_integers_intu_u_add(s(t_h4s_integers_int,X10),s(t_h4s_integers_int,X6))),file('i/f/HolSmt/r100', ah4s_integers_INTu_u_ADDu_u_COMM)).
fof(35, axiom,![X17]:![X10]:![X6]:s(t_h4s_integers_int,h4s_integers_intu_u_add(s(t_h4s_integers_int,X6),s(t_h4s_integers_int,h4s_integers_intu_u_add(s(t_h4s_integers_int,X10),s(t_h4s_integers_int,X17)))))=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,X6),s(t_h4s_integers_int,X10))),s(t_h4s_integers_int,X17))),file('i/f/HolSmt/r100', ah4s_integers_INTu_u_ADDu_u_ASSOC)).
fof(36, axiom,![X10]:![X6]:s(t_bool,h4s_integers_intu_u_gt(s(t_h4s_integers_int,X6),s(t_h4s_integers_int,X10)))=s(t_bool,h4s_integers_intu_u_lt(s(t_h4s_integers_int,X10),s(t_h4s_integers_int,X6))),file('i/f/HolSmt/r100', ah4s_integers_intu_u_gt0)).
fof(37, axiom,![X10]:![X6]:s(t_bool,h4s_integers_intu_u_ge(s(t_h4s_integers_int,X6),s(t_h4s_integers_int,X10)))=s(t_bool,h4s_integers_intu_u_le(s(t_h4s_integers_int,X10),s(t_h4s_integers_int,X6))),file('i/f/HolSmt/r100', ah4s_integers_intu_u_ge0)).
fof(38, axiom,![X6]:s(t_h4s_integers_int,h4s_integers_intu_u_add(s(t_h4s_integers_int,X6),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,X6),file('i/f/HolSmt/r100', ah4s_integers_INTu_u_ADDu_u_RID)).
fof(39, axiom,![X6]: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,X6)))=s(t_h4s_integers_int,X6),file('i/f/HolSmt/r100', ah4s_integers_INTu_u_MULu_u_LID)).
fof(40, axiom,![X10]:![X6]: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,X6),s(t_h4s_integers_int,X10)))))=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,X6))),s(t_h4s_integers_int,h4s_integers_intu_u_neg(s(t_h4s_integers_int,X10))))),file('i/f/HolSmt/r100', ah4s_integers_INTu_u_NEGu_u_ADD)).
fof(41, axiom,![X10]:![X6]: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,X6),s(t_h4s_integers_int,X10)))))=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,X6))),s(t_h4s_integers_int,X10))),file('i/f/HolSmt/r100', ah4s_integers_INTu_u_NEGu_u_LMUL)).
fof(43, axiom,![X6]: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,X6)))))=s(t_h4s_integers_int,X6),file('i/f/HolSmt/r100', ah4s_integers_INTu_u_NEGNEG)).
fof(44, axiom,![X10]:![X6]:(~(p(s(t_bool,h4s_integers_intu_u_le(s(t_h4s_integers_int,X6),s(t_h4s_integers_int,X10)))))<=>p(s(t_bool,h4s_integers_intu_u_lt(s(t_h4s_integers_int,X10),s(t_h4s_integers_int,X6))))),file('i/f/HolSmt/r100', ah4s_integers_INTu_u_NOTu_u_LE)).
fof(46, 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/r100', ah4s_integers_INTu_u_NEGu_u_0)).
fof(52, axiom,![X10]:![X6]:s(t_bool,h4s_integers_intu_u_le(s(t_h4s_integers_int,X6),s(t_h4s_integers_int,X10)))=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,X10),s(t_h4s_integers_int,h4s_integers_intu_u_neg(s(t_h4s_integers_int,X6))))))),file('i/f/HolSmt/r100', ah4s_intu_u_ariths_leu_u_moveu_u_allu_u_right)).
fof(54, conjecture,![X17]:![X10]:![X6]:(p(s(t_bool,h4s_integers_intu_u_gt(s(t_h4s_integers_int,X6),s(t_h4s_integers_int,h4s_integers_intu_u_add(s(t_h4s_integers_int,X10),s(t_h4s_integers_int,X17))))))<=>~(p(s(t_bool,h4s_integers_intu_u_ge(s(t_h4s_integers_int,h4s_integers_intu_u_add(s(t_h4s_integers_int,X17),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,X6))))),s(t_h4s_integers_int,h4s_integers_intu_u_neg(s(t_h4s_integers_int,X10)))))))),file('i/f/HolSmt/r100', ch4s_HolSmts_r100)).
# SZS output end CNFRefutation
