# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:s(t_h4s_realaxs_real,h4s_realaxs_realu_u_mul(s(t_h4s_realaxs_real,h4s_reals_realu_u_ofu_u_num(s(t_h4s_nums_num,h4s_nums_0))),s(t_h4s_realaxs_real,X1)))=s(t_h4s_realaxs_real,h4s_reals_realu_u_ofu_u_num(s(t_h4s_nums_num,h4s_nums_0))),file('i/f/real/REAL__MUL__LZERO', ch4s_reals_REALu_u_MULu_u_LZERO)).
fof(14, axiom,s(t_h4s_realaxs_real,h4s_realaxs_realu_u_0)=s(t_h4s_realaxs_real,h4s_reals_realu_u_ofu_u_num(s(t_h4s_nums_num,h4s_nums_0))),file('i/f/real/REAL__MUL__LZERO', ah4s_reals_REALu_u_0)).
fof(25, axiom,![X1]:s(t_h4s_realaxs_real,h4s_realaxs_realu_u_add(s(t_h4s_realaxs_real,X1),s(t_h4s_realaxs_real,h4s_reals_realu_u_ofu_u_num(s(t_h4s_nums_num,h4s_nums_0)))))=s(t_h4s_realaxs_real,X1),file('i/f/real/REAL__MUL__LZERO', ah4s_reals_REALu_u_ADDu_u_RID)).
fof(27, axiom,![X7]:![X1]:(s(t_h4s_realaxs_real,h4s_realaxs_realu_u_add(s(t_h4s_realaxs_real,X1),s(t_h4s_realaxs_real,X7)))=s(t_h4s_realaxs_real,X1)<=>s(t_h4s_realaxs_real,X7)=s(t_h4s_realaxs_real,h4s_reals_realu_u_ofu_u_num(s(t_h4s_nums_num,h4s_nums_0)))),file('i/f/real/REAL__MUL__LZERO', ah4s_reals_REALu_u_ADDu_u_RIDu_u_UNIQ)).
fof(31, axiom,s(t_h4s_realaxs_real,h4s_realaxs_inv(s(t_h4s_realaxs_real,h4s_reals_realu_u_ofu_u_num(s(t_h4s_nums_num,h4s_nums_0)))))=s(t_h4s_realaxs_real,h4s_reals_realu_u_ofu_u_num(s(t_h4s_nums_num,h4s_nums_0))),file('i/f/real/REAL__MUL__LZERO', ah4s_reals_REALu_u_INVu_u_0)).
fof(34, axiom,![X7]:![X1]:s(t_h4s_realaxs_real,h4s_realaxs_realu_u_mul(s(t_h4s_realaxs_real,X1),s(t_h4s_realaxs_real,X7)))=s(t_h4s_realaxs_real,h4s_realaxs_realu_u_mul(s(t_h4s_realaxs_real,X7),s(t_h4s_realaxs_real,X1))),file('i/f/real/REAL__MUL__LZERO', ah4s_reals_REALu_u_MULu_u_SYM)).
fof(38, axiom,![X12]:![X7]:![X1]:s(t_h4s_realaxs_real,h4s_realaxs_realu_u_mul(s(t_h4s_realaxs_real,h4s_realaxs_realu_u_add(s(t_h4s_realaxs_real,X1),s(t_h4s_realaxs_real,X7))),s(t_h4s_realaxs_real,X12)))=s(t_h4s_realaxs_real,h4s_realaxs_realu_u_add(s(t_h4s_realaxs_real,h4s_realaxs_realu_u_mul(s(t_h4s_realaxs_real,X1),s(t_h4s_realaxs_real,X12))),s(t_h4s_realaxs_real,h4s_realaxs_realu_u_mul(s(t_h4s_realaxs_real,X7),s(t_h4s_realaxs_real,X12))))),file('i/f/real/REAL__MUL__LZERO', ah4s_reals_REALu_u_RDISTRIB)).
fof(49, axiom,![X1]:(~(s(t_h4s_realaxs_real,X1)=s(t_h4s_realaxs_real,h4s_realaxs_realu_u_0))=>s(t_h4s_realaxs_real,h4s_realaxs_realu_u_mul(s(t_h4s_realaxs_real,h4s_realaxs_inv(s(t_h4s_realaxs_real,X1))),s(t_h4s_realaxs_real,X1)))=s(t_h4s_realaxs_real,h4s_realaxs_realu_u_1)),file('i/f/real/REAL__MUL__LZERO', ah4s_realaxs_REALu_u_MULu_u_LINV)).
fof(50, axiom,![X1]:s(t_h4s_realaxs_real,h4s_realaxs_realu_u_mul(s(t_h4s_realaxs_real,h4s_realaxs_realu_u_1),s(t_h4s_realaxs_real,X1)))=s(t_h4s_realaxs_real,X1),file('i/f/real/REAL__MUL__LZERO', ah4s_realaxs_REALu_u_MULu_u_LID)).
fof(61, axiom,~(s(t_h4s_realaxs_real,h4s_realaxs_realu_u_1)=s(t_h4s_realaxs_real,h4s_realaxs_realu_u_0)),file('i/f/real/REAL__MUL__LZERO', ah4s_realaxs_REALu_u_10)).
# SZS output end CNFRefutation
