# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(30, axiom,![X8]:![X6]:(s(t_h4s_integers_int,h4s_integers_intu_u_mul(s(t_h4s_integers_int,X6),s(t_h4s_integers_int,X8)))=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)=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,X8)=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__EQ__LMUL', ah4s_integers_INTu_u_ENTIRE)).
fof(38, axiom,![X8]:![X6]:s(t_h4s_integers_int,h4s_integers_intu_u_mul(s(t_h4s_integers_int,X6),s(t_h4s_integers_int,X8)))=s(t_h4s_integers_int,h4s_integers_intu_u_mul(s(t_h4s_integers_int,X8),s(t_h4s_integers_int,X6))),file('i/f/integer/INT__EQ__LMUL', ah4s_integers_INTu_u_MULu_u_COMM)).
fof(41, axiom,![X11]:![X8]:![X6]:s(t_h4s_integers_int,h4s_integers_intu_u_mul(s(t_h4s_integers_int,h4s_integers_intu_u_sub(s(t_h4s_integers_int,X6),s(t_h4s_integers_int,X8))),s(t_h4s_integers_int,X11)))=s(t_h4s_integers_int,h4s_integers_intu_u_sub(s(t_h4s_integers_int,h4s_integers_intu_u_mul(s(t_h4s_integers_int,X6),s(t_h4s_integers_int,X11))),s(t_h4s_integers_int,h4s_integers_intu_u_mul(s(t_h4s_integers_int,X8),s(t_h4s_integers_int,X11))))),file('i/f/integer/INT__EQ__LMUL', ah4s_integers_INTu_u_SUBu_u_RDISTRIB)).
fof(47, axiom,![X6]:s(t_h4s_integers_int,h4s_integers_intu_u_mul(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,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,h4s_nums_0))),file('i/f/integer/INT__EQ__LMUL', ah4s_integers_INTu_u_MULu_u_RZERO)).
fof(55, axiom,![X6]:s(t_h4s_integers_int,h4s_integers_intu_u_sub(s(t_h4s_integers_int,X6),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))),file('i/f/integer/INT__EQ__LMUL', ah4s_integers_INTu_u_SUBu_u_REFL)).
fof(72, axiom,![X8]:![X6]:(s(t_h4s_integers_int,h4s_integers_intu_u_sub(s(t_h4s_integers_int,X6),s(t_h4s_integers_int,X8)))=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)=s(t_h4s_integers_int,X8)),file('i/f/integer/INT__EQ__LMUL', ah4s_integers_INTu_u_SUBu_u_0)).
fof(80, 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__EQ__LMUL', ah4s_integers_INTu_u_0)).
fof(133, conjecture,![X11]:![X8]:![X6]:(s(t_h4s_integers_int,h4s_integers_intu_u_mul(s(t_h4s_integers_int,X6),s(t_h4s_integers_int,X8)))=s(t_h4s_integers_int,h4s_integers_intu_u_mul(s(t_h4s_integers_int,X6),s(t_h4s_integers_int,X11)))<=>(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,X8)=s(t_h4s_integers_int,X11))),file('i/f/integer/INT__EQ__LMUL', ch4s_integers_INTu_u_EQu_u_LMUL)).
# SZS output end CNFRefutation
