# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:((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,X2))))&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,X1)))))=>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_mul(s(t_h4s_integers_int,X2),s(t_h4s_integers_int,X1))))))),file('i/f/integer/INT__LE__MUL', ch4s_integers_INTu_u_LEu_u_MUL)).
fof(2, axiom,~(p(s(t_bool,f))),file('i/f/integer/INT__LE__MUL', aHLu_FALSITY)).
fof(15, axiom,![X7]:(s(t_bool,X7)=s(t_bool,f)<=>~(p(s(t_bool,X7)))),file('i/f/integer/INT__LE__MUL', ah4s_bools_EQu_u_CLAUSESu_c3)).
fof(37, axiom,![X2]:s(t_bool,h4s_integers_intu_u_le(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_ofu_u_num(s(t_h4s_nums_num,h4s_nums_0)))))=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,X2))),file('i/f/integer/INT__LE__MUL', ah4s_integers_INTu_u_NEGu_u_LE0)).
fof(39, 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,X2),s(t_h4s_integers_int,X1))))|s(t_h4s_integers_int,X2)=s(t_h4s_integers_int,X1))),file('i/f/integer/INT__LE__MUL', ah4s_integers_INTu_u_LEu_u_LT)).
fof(42, 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_le(s(t_h4s_integers_int,X1),s(t_h4s_integers_int,X2)))))<=>s(t_h4s_integers_int,X2)=s(t_h4s_integers_int,X1)),file('i/f/integer/INT__LE__MUL', ah4s_integers_INTu_u_LEu_u_ANTISYM)).
fof(52, axiom,![X2]: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_nums_0))),s(t_h4s_integers_int,X2)))=s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,h4s_nums_0))),file('i/f/integer/INT__LE__MUL', ah4s_integers_INTu_u_MULu_u_LZERO)).
fof(53, axiom,![X1]:![X2]: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,X2),s(t_h4s_integers_int,X1)))))=s(t_h4s_integers_int,h4s_integers_intu_u_mul(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/integer/INT__LE__MUL', ah4s_integers_INTu_u_NEGu_u_RMUL)).
fof(54, axiom,![X1]:![X2]:s(t_h4s_integers_int,h4s_integers_intu_u_mul(s(t_h4s_integers_int,X2),s(t_h4s_integers_int,X1)))=s(t_h4s_integers_int,h4s_integers_intu_u_mul(s(t_h4s_integers_int,X1),s(t_h4s_integers_int,X2))),file('i/f/integer/INT__LE__MUL', ah4s_integers_INTu_u_MULu_u_COMM)).
fof(59, axiom,![X1]:![X2]:((p(s(t_bool,h4s_integers_intu_u_lt(s(t_h4s_integers_int,h4s_integers_intu_u_0),s(t_h4s_integers_int,X2))))&p(s(t_bool,h4s_integers_intu_u_lt(s(t_h4s_integers_int,h4s_integers_intu_u_0),s(t_h4s_integers_int,X1)))))=>p(s(t_bool,h4s_integers_intu_u_lt(s(t_h4s_integers_int,h4s_integers_intu_u_0),s(t_h4s_integers_int,h4s_integers_intu_u_mul(s(t_h4s_integers_int,X2),s(t_h4s_integers_int,X1))))))),file('i/f/integer/INT__LE__MUL', ah4s_integers_INTu_u_LTu_u_MUL)).
fof(60, axiom,![X2]:s(t_h4s_integers_int,h4s_integers_intu_u_mul(s(t_h4s_integers_int,X2),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/integer/INT__LE__MUL', ah4s_integers_INTu_u_MULu_u_RZERO)).
fof(70, axiom,![X2]: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_ofu_u_num(s(t_h4s_nums_num,h4s_nums_0)))))=s(t_h4s_integers_int,X2),file('i/f/integer/INT__LE__MUL', ah4s_integers_INTu_u_ADDu_u_RID)).
fof(74, 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_ofu_u_num(s(t_h4s_nums_num,h4s_nums_0)))<=>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/integer/INT__LE__MUL', ah4s_integers_INTu_u_RNEGu_u_UNIQ)).
fof(79, axiom,s(t_h4s_integers_int,h4s_integers_intu_u_0)=s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,h4s_nums_0))),file('i/f/integer/INT__LE__MUL', ah4s_integers_INTu_u_0)).
fof(83, axiom,![X7]:(s(t_bool,X7)=s(t_bool,t)|s(t_bool,X7)=s(t_bool,f)),file('i/f/integer/INT__LE__MUL', aHLu_BOOLu_CASES)).
fof(84, axiom,(~(p(s(t_bool,f)))<=>p(s(t_bool,t))),file('i/f/integer/INT__LE__MUL', ah4s_bools_NOTu_u_CLAUSESu_c2)).
# SZS output end CNFRefutation
