# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, axiom,p(s(t_bool,t)),file('i/f/HolSmt/t013', aHLu_TRUTH)).
fof(2, axiom,~(p(s(t_bool,f))),file('i/f/HolSmt/t013', aHLu_FALSITY)).
fof(3, axiom,![X1]:(s(t_bool,X1)=s(t_bool,t)|s(t_bool,X1)=s(t_bool,f)),file('i/f/HolSmt/t013', aHLu_BOOLu_CASES)).
fof(20, axiom,![X1]:(s(t_bool,t)=s(t_bool,X1)<=>p(s(t_bool,X1))),file('i/f/HolSmt/t013', ah4s_bools_EQu_u_CLAUSESu_c0)).
fof(22, axiom,![X1]:(s(t_bool,f)=s(t_bool,X1)<=>~(p(s(t_bool,X1)))),file('i/f/HolSmt/t013', ah4s_bools_EQu_u_CLAUSESu_c2)).
fof(33, axiom,![X17]:s(t_h4s_nums_num,h4s_numerals_iz(s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X17),s(t_h4s_nums_num,h4s_arithmetics_zero)))))=s(t_h4s_nums_num,X17),file('i/f/HolSmt/t013', ah4s_numerals_numeralu_u_addu_c1)).
fof(34, axiom,![X17]:![X18]:s(t_h4s_nums_num,h4s_numerals_iz(s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,X17))),s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,X18)))))))=s(t_h4s_nums_num,h4s_arithmetics_bit2(s(t_h4s_nums_num,h4s_numerals_iz(s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X17),s(t_h4s_nums_num,X18))))))),file('i/f/HolSmt/t013', ah4s_numerals_numeralu_u_addu_c2)).
fof(35, 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/t013', ah4s_integers_INTu_u_ADDu_u_COMM)).
fof(36, axiom,![X19]:![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,X19)))))=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,X19))),file('i/f/HolSmt/t013', ah4s_integers_INTu_u_ADDu_u_ASSOC)).
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/t013', 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/t013', ah4s_integers_INTu_u_ADDu_u_RID)).
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/t013', ah4s_integers_INTu_u_NEGu_u_ADD)).
fof(43, 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/t013', ah4s_integers_INTu_u_NOTu_u_LE)).
fof(44, 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/t013', ah4s_integers_INTu_u_NEGu_u_0)).
fof(45, axiom,![X16]: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,X16)))=s(t_h4s_integers_int,X16),file('i/f/HolSmt/t013', ah4s_integers_INTu_u_ADDu_u_REDUCEu_c0)).
fof(47, axiom,![X17]:![X18]: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,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,X17))))))),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,X18)))))))))=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_numerals_iz(s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X17),s(t_h4s_nums_num,X18))))))))))),file('i/f/HolSmt/t013', ah4s_integers_INTu_u_ADDu_u_REDUCEu_c7)).
fof(48, axiom,![X17]:s(t_bool,h4s_integers_intu_u_lt(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_bit2(s(t_h4s_nums_num,X17))))))))),s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,h4s_nums_0)))))=s(t_bool,t),file('i/f/HolSmt/t013', ah4s_integers_INTu_u_LTu_u_REDUCEu_c6)).
fof(49, axiom,![X10]:![X6]:s(t_bool,h4s_integers_intu_u_lt(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_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_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_zero))))))))),s(t_h4s_integers_int,X10))),file('i/f/HolSmt/t013', ah4s_intu_u_ariths_lessu_u_tou_u_lequ_u_samer)).
fof(50, 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/t013', ah4s_intu_u_ariths_leu_u_moveu_u_allu_u_right)).
fof(51, axiom,![X10]:![X6]:![X20]:(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,X20),s(t_h4s_integers_int,X6))))))=>(p(s(t_bool,h4s_integers_intu_u_lt(s(t_h4s_integers_int,X10),s(t_h4s_integers_int,h4s_integers_intu_u_neg(s(t_h4s_integers_int,X6))))))=>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,h4s_integers_intu_u_neg(s(t_h4s_integers_int,X20))),s(t_h4s_integers_int,X10)))))=s(t_bool,f))),file('i/f/HolSmt/t013', ah4s_intu_u_ariths_leu_u_contextu_u_rwt2)).
fof(52, conjecture,![X6]:(~(p(s(t_bool,h4s_integers_intu_u_ge(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)))))))|p(s(t_bool,h4s_integers_intu_u_ge(s(t_h4s_integers_int,X6),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))))))))))))),file('i/f/HolSmt/t013', ch4s_HolSmts_t013)).
# SZS output end CNFRefutation
