# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:(p(s(t_bool,h4s_integers_intu_u_lt(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_ofu_u_num(s(t_h4s_nums_num,h4s_nums_0))))))<=>((p(s(t_bool,h4s_integers_intu_u_lt(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_lt(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)))))))|(p(s(t_bool,h4s_integers_intu_u_lt(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))))))&p(s(t_bool,h4s_integers_intu_u_lt(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))))))),file('i/f/integer/INT__MUL__SIGN__CASES_c1', ch4s_integers_INTu_u_MULu_u_SIGNu_u_CASESu_c1)).
fof(28, axiom,![X11]:s(t_bool,h4s_integers_intu_u_lt(s(t_h4s_integers_int,h4s_integers_intu_u_neg(s(t_h4s_integers_int,X11))),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_lt(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,X11))),file('i/f/integer/INT__MUL__SIGN__CASES_c1', ah4s_integers_INTu_u_NEGu_u_LT0)).
fof(29, axiom,![X11]:s(t_bool,h4s_integers_intu_u_lt(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_neg(s(t_h4s_integers_int,X11)))))=s(t_bool,h4s_integers_intu_u_lt(s(t_h4s_integers_int,X11),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__MUL__SIGN__CASES_c1', ah4s_integers_INTu_u_NEGu_u_GT0)).
fof(30, axiom,![X13]:![X11]:~((p(s(t_bool,h4s_integers_intu_u_lt(s(t_h4s_integers_int,X11),s(t_h4s_integers_int,X13))))&p(s(t_bool,h4s_integers_intu_u_lt(s(t_h4s_integers_int,X13),s(t_h4s_integers_int,X11)))))),file('i/f/integer/INT__MUL__SIGN__CASES_c1', ah4s_integers_INTu_u_LTu_u_ANTISYM)).
fof(31, axiom,![X1]:![X2]:(p(s(t_bool,h4s_integers_intu_u_lt(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))))))<=>((p(s(t_bool,h4s_integers_intu_u_lt(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_lt(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_lt(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))))))&p(s(t_bool,h4s_integers_intu_u_lt(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))))))))),file('i/f/integer/INT__MUL__SIGN__CASES_c1', ah4s_integers_INTu_u_MULu_u_SIGNu_u_CASESu_c0)).
fof(33, axiom,![X13]:![X11]: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,X11),s(t_h4s_integers_int,X13)))))=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,X11))),s(t_h4s_integers_int,X13))),file('i/f/integer/INT__MUL__SIGN__CASES_c1', ah4s_integers_INTu_u_NEGu_u_LMUL)).
fof(34, axiom,![X13]:![X11]: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,X11),s(t_h4s_integers_int,X13)))))=s(t_h4s_integers_int,h4s_integers_intu_u_mul(s(t_h4s_integers_int,X11),s(t_h4s_integers_int,h4s_integers_intu_u_neg(s(t_h4s_integers_int,X13))))),file('i/f/integer/INT__MUL__SIGN__CASES_c1', ah4s_integers_INTu_u_NEGu_u_RMUL)).
fof(36, axiom,![X11]: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_neg(s(t_h4s_integers_int,X11)))))=s(t_bool,h4s_integers_intu_u_le(s(t_h4s_integers_int,X11),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__MUL__SIGN__CASES_c1', ah4s_integers_INTu_u_NEGu_u_GE0)).
fof(38, axiom,![X11]: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,X11)))))=s(t_h4s_integers_int,X11),file('i/f/integer/INT__MUL__SIGN__CASES_c1', ah4s_integers_INTu_u_NEGNEG)).
fof(42, axiom,![X13]:![X11]:(p(s(t_bool,h4s_integers_intu_u_le(s(t_h4s_integers_int,X11),s(t_h4s_integers_int,X13))))<=>(p(s(t_bool,h4s_integers_intu_u_lt(s(t_h4s_integers_int,X11),s(t_h4s_integers_int,X13))))|s(t_h4s_integers_int,X11)=s(t_h4s_integers_int,X13))),file('i/f/integer/INT__MUL__SIGN__CASES_c1', ah4s_integers_INTu_u_LEu_u_LT)).
fof(44, axiom,![X13]:![X11]:(~(p(s(t_bool,h4s_integers_intu_u_le(s(t_h4s_integers_int,X11),s(t_h4s_integers_int,X13)))))<=>p(s(t_bool,h4s_integers_intu_u_lt(s(t_h4s_integers_int,X13),s(t_h4s_integers_int,X11))))),file('i/f/integer/INT__MUL__SIGN__CASES_c1', ah4s_integers_INTu_u_NOTu_u_LE)).
fof(45, axiom,![X16]:![X17]: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,X17))),s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,X16)))))=s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X17),s(t_h4s_nums_num,X16))),file('i/f/integer/INT__MUL__SIGN__CASES_c1', ah4s_integers_INTu_u_LE)).
fof(48, axiom,![X13]:![X11]:(~(p(s(t_bool,h4s_integers_intu_u_lt(s(t_h4s_integers_int,X11),s(t_h4s_integers_int,X13)))))<=>p(s(t_bool,h4s_integers_intu_u_le(s(t_h4s_integers_int,X13),s(t_h4s_integers_int,X11))))),file('i/f/integer/INT__MUL__SIGN__CASES_c1', ah4s_integers_INTu_u_NOTu_u_LT)).
fof(51, axiom,![X16]:p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,X16)))),file('i/f/integer/INT__MUL__SIGN__CASES_c1', ah4s_arithmetics_ZEROu_u_LESSu_u_EQ)).
# SZS output end CNFRefutation
