TRS Standard pair #615298001

details
property	value
status	complete
benchmark	shor.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n020.star.cs.uiowa.edu
space	Kaliszyk_19
run statistics
property	value
solver	NaTT 2.3.3
configuration	default
runtime (wallclock)	88.7978880405 seconds
cpu usage	101.997527833
max memory	1.695629312E9
stage attributes
key	value
output-size	567521
starexec-result	"YES"
output
/export/starexec/sandbox/solver/bin/starexec_run_default /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files


--------------------------------------------------------------------------------


YES
Input TRS:
    1: i(i(DIFF(),i(i(DIFF(),UNIV()),i(interior(),s0))),i(interior(),i(i(DIFF(),UNIV()),s0))) -> i(frontier(),s0)
    2: i(i(connectedu_component(),UNIV()),x) -> UNIV()
    3: i(i(realu_div(),sol0()),pi()) -> const1()
    4: i(i(p_(),i(i(t_(),m),n)),i(i(t_(),m),p)) -> i(i(t_(),m),i(i(p_(),n),p))
    5: i(i(sub6(),i(i(scalar6(),i(i(add6(),i(mku_456(),i(rotate5(),i(truncateu_solu_x(),c)))),i(i(add6(),i(mku_456(),i(rotate6(),i(truncateu_solu_x(),c)))),i(mku_456(),i(rotate4(),i(truncateu_solu_x(),c)))))),i(i(realu_mul(),i(realu_ofu_num(),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0()))))),i(i(realu_div(),mm1()),pi())))),i(i(scalar6(),i(i(add6(),i(i(mul6(),i(i(scalar6(),i(uni(),i(i(c_(),lfun()),i(i(scalar6(),proju_y4()),i(i(DECIMAL(),i(NUMERAL(),i(BIT1(),i(BIT0(),i(BIT1(),u_0()))))),i(NUMERAL(),i(BIT0(),i(BIT1(),i(BIT0(),i(BIT1(),u_0())))))))))),m4)),i(mku_456(),i(rotate4(),i(truncateu_dihu_x(),c))))),i(i(add6(),i(i(mul6(),i(i(scalar6(),i(uni(),i(i(c_(),lfun()),i(i(scalar6(),proju_y5()),i(i(DECIMAL(),i(NUMERAL(),i(BIT1(),i(BIT0(),i(BIT1(),u_0()))))),i(NUMERAL(),i(BIT0(),i(BIT1(),i(BIT0(),i(BIT1(),u_0())))))))))),m5)),i(mku_456(),i(rotate5(),i(truncateu_dihu_x(),c))))),i(i(mul6(),i(i(scalar6(),i(uni(),i(i(c_(),lfun()),i(i(scalar6(),proju_y6()),i(i(DECIMAL(),i(NUMERAL(),i(BIT1(),i(BIT0(),i(BIT1(),u_0()))))),i(NUMERAL(),i(BIT0(),i(BIT1(),i(BIT0(),i(BIT1(),u_0())))))))))),m6)),i(mku_456(),i(rotate6(),i(truncateu_dihu_x(),c))))))),i(i(realu_mul(),i(realu_ofu_num(),i(NUMERAL(),i(BIT0(),i(BIT0(),i(BIT0(),i(BIT1(),u_0()))))))),i(i(realu_div(),mm2()),pi())))) -> i(i(i(i(truncateu_vol3f(),c),m4),m5),m6)
    6: i(i(realu_integral(),i(closedu_realu_interval(),i(i(CONS(),i(i(c_(),a),b)),NIL()))),f) -> i(i(realu_integral(),i(openu_realu_interval(),i(i(c_(),a),b))),f)
    7: i(i(s_b_(),i(w_(),i(i(a_(),x),i(vec(),i(NUMERAL(),u_0()))))),i(i(s_b_(),i(w_(),i(i(a_(),y),i(vec(),i(NUMERAL(),u_0()))))),i(i(a_(),i(vectoru_norm(),i(i(vectoru_add(),x),y))),i(i(realu_add(),i(vectoru_norm(),x)),i(vectoru_norm(),y))))) -> i(i(a_(),i(i(vectoru_angle(),x),y)),i(realu_ofu_num(),i(NUMERAL(),u_0())))
    8: i(i(realu_div(),i(realu_ofu_num(),i(NUMERAL(),i(BIT1(),u_0())))),i(sqrt(),i(i(realu_add(),i(realu_ofu_num(),i(NUMERAL(),i(BIT1(),u_0())))),i(i(realu_pow(),x),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0()))))))) -> i(cos(),i(atn(),x))
    9: i(ssqrt(),i(realu_ofu_num(),i(NUMERAL(),u_0()))) -> i(realu_ofu_num(),i(NUMERAL(),u_0()))
    10: i(intu_neg(),i(i(intu_min(),i(intu_neg(),x)),i(intu_neg(),y))) -> i(i(intu_max(),x),y)
    11: i(i(UNION(),s0),s0) -> s0
    12: i(i(b_s_(),i(FINITE(),s0)),i(i(a_u_c(),s0),UNIV())) -> i(COUNTABLE(),s0)
    13: i(i(realu_sub(),i(i(realu_mul(),i(i(realu_sub(),i(realu_ofu_num(),i(NUMERAL(),i(BIT0(),i(BIT0(),i(BIT0(),i(BIT1(),u_0()))))))),x)),i(i(realu_div(),i(sqrt(),x)),i(realu_ofu_num(),i(NUMERAL(),i(BIT0(),i(BIT0(),i(BIT0(),i(BIT1(),i(BIT1(),u_0())))))))))),i(i(realu_sub(),i(i(realu_mul(),i(i(realu_mul(),i(realu_ofu_num(),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0()))))),i(i(realu_div(),mm1()),pi()))),i(i(realu_sub(),i(realu_ofu_num(),i(NUMERAL(),i(BIT1(),u_0())))),i(i(realu_div(),i(sqrt(),x)),sqrt8())))),i(i(realu_mul(),i(i(realu_mul(),i(realu_ofu_num(),i(NUMERAL(),i(BIT0(),i(BIT0(),i(BIT0(),i(BIT1(),u_0()))))))),i(i(realu_div(),mm2()),pi()))),i(i(realu_mul(),m),i(lfun(),i(i(realu_div(),i(sqrt(),x)),i(realu_ofu_num(),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0())))))))))) -> i(i(truncateu_gamma2u_x(),m),x)
    14: i(i(IMAGE(),mku_finiteu_sum()),i(i(o_o_(),i(NUMERAL(),i(BIT1(),u_0()))),i(i(p_(),i(dimindex(),UNIV())),i(dimindex(),UNIV())))) -> UNIV()
    15: i(i(sums(),i(i(o(),lift()),f)),i(lift(),l)) -> i(i(realu_sums(),f),l)
    16: i(i(DIFF(),s0),EMPTY()) -> s0
    17: i(i(add6(),i(truncateu_dihu_x(),c)),i(i(add6(),i(rotate2(),i(truncateu_dihu_x(),c))),i(i(sub6(),i(rotate3(),i(truncateu_dihu_x(),c))),i(constant6(),pi())))) -> i(truncateu_solu_x(),c)
    18: i(i(realu_div(),i(realu_abs(),i(i(realu_add(),i(i(realu_mul(),i(i(realu_sub(),i(i(d_(),b),i(NUMERAL(),i(BIT1(),u_0())))),i(i(d_(),a),i(NUMERAL(),i(BIT1(),u_0()))))),i(i(realu_mul(),i(i(realu_sub(),i(i(d_(),c),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0()))))),i(i(d_(),a),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0())))))),i(i(realu_sub(),i(i(d_(),d),i(NUMERAL(),i(BIT1(),i(BIT1(),u_0()))))),i(i(d_(),a),i(NUMERAL(),i(BIT1(),i(BIT1(),u_0())))))))),i(i(realu_add(),i(i(realu_mul(),i(i(realu_sub(),i(i(d_(),b),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0()))))),i(i(d_(),a),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0())))))),i(i(realu_mul(),i(i(realu_sub(),i(i(d_(),c),i(NUMERAL(),i(BIT1(),i(BIT1(),u_0()))))),i(i(d_(),a),i(NUMERAL(),i(BIT1(),i(BIT1(),u_0())))))),i(i(realu_sub(),i(i(d_(),d),i(NUMERAL(),i(BIT1(),u_0())))),i(i(d_(),a),i(NUMERAL(),i(BIT1(),u_0()))))))),i(i(realu_sub(),i(i(realu_sub(),i(i(realu_sub(),i(i(realu_mul(),i(i(realu_sub(),i(i(d_(),b),i(NUMERAL(),i(BIT1(),i(BIT1(),u_0()))))),i(i(d_(),a),i(NUMERAL(),i(BIT1(),i(BIT1(),u_0())))))),i(i(realu_mul(),i(i(realu_sub(),i(i(d_(),c),i(NUMERAL(),i(BIT1(),u_0())))),i(i(d_(),a),i(NUMERAL(),i(BIT1(),u_0()))))),i(i(realu_sub(),i(i(d_(),d),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0()))))),i(i(d_(),a),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0())))))))),i(i(realu_mul(),i(i(realu_sub(),i(i(d_(),b),i(NUMERAL(),i(BIT1(),u_0())))),i(i(d_(),a),i(NUMERAL(),i(BIT1(),u_0()))))),i(i(realu_mul(),i(i(realu_sub(),i(i(d_(),c),i(NUMERAL(),i(BIT1(),i(BIT1(),u_0()))))),i(i(d_(),a),i(NUMERAL(),i(BIT1(),i(BIT1(),u_0())))))),i(i(realu_sub(),i(i(d_(),d),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0()))))),i(i(d_(),a),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0()))))))))),i(i(realu_mul(),i(i(realu_sub(),i(i(d_(),b),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0()))))),i(i(d_(),a),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0())))))),i(i(realu_mul(),i(i(realu_sub(),i(i(d_(),c),i(NUMERAL(),i(BIT1(),u_0())))),i(i(d_(),a),i(NUMERAL(),i(BIT1(),u_0()))))),i(i(realu_sub(),i(i(d_(),d),i(NUMERAL(),i(BIT1(),i(BIT1(),u_0()))))),i(i(d_(),a),i(NUMERAL(),i(BIT1(),i(BIT1(),u_0()))))))))),i(i(realu_mul(),i(i(realu_sub(),i(i(d_(),b),i(NUMERAL(),i(BIT1(),i(BIT1(),u_0()))))),i(i(d_(),a),i(NUMERAL(),i(BIT1(),i(BIT1(),u_0())))))),i(i(realu_mul(),i(i(realu_sub(),i(i(d_(),c),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0()))))),i(i(d_(),a),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0())))))),i(i(realu_sub(),i(i(d_(),d),i(NUMERAL(),i(BIT1(),u_0())))),i(i(d_(),a),i(NUMERAL(),i(BIT1(),u_0()))))))))))),i(realu_ofu_num(),i(NUMERAL(),i(BIT0(),i(BIT1(),i(BIT1(),u_0())))))) -> i(measure(),i(i(hull(),convex()),i(i(INSERT(),a),i(i(INSERT(),b),i(i(INSERT(),c),i(i(INSERT(),d),EMPTY()))))))
    19: i(i(vectoru_add(),i(Cx(),i(Re(),z))),i(i(complexu_mul(),ii()),i(Cx(),i(Im(),z)))) -> z
    20: i(w_(),i(i(realu_le(),y),x)) -> i(i(realu_lt(),x),y)
    21: i(i(b_s_(),i(i(s_b_(),i(i(realu_le(),i(realu_ofu_num(),i(NUMERAL(),u_0()))),x)),i(i(realu_le(),i(realu_ofu_num(),i(NUMERAL(),u_0()))),y))),i(i(s_b_(),i(i(realu_le(),x),i(realu_ofu_num(),i(NUMERAL(),u_0())))),i(i(realu_le(),y),i(realu_ofu_num(),i(NUMERAL(),u_0()))))) -> i(i(realu_le(),i(realu_ofu_num(),i(NUMERAL(),u_0()))),i(i(realu_mul(),x),y))
    22: i(i(INTER(),s0),s0) -> s0
    23: i(i(realu_mul(),i(lfun(),i(i(realu_div(),i(sqrt(),x2)),i(realu_ofu_num(),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0()))))))),i(i(i(i(i(i(dih2u_x(),x1),x2),x3),x4),x5),x6)) -> i(i(i(i(i(i(ldih2u_x(),x1),x2),x3),x4),x5),x6)
    24: i(Arg(),i(Cx(),i(realu_ofu_num(),i(NUMERAL(),u_0())))) -> i(realu_ofu_num(),i(NUMERAL(),u_0()))
    25: i(i(p_(),i(i(i(COND(),i(criticalu_edgeu_y(),y1)),i(NUMERAL(),i(BIT1(),u_0()))),i(NUMERAL(),u_0()))),i(i(p_(),i(i(i(COND(),i(criticalu_edgeu_y(),y2)),i(NUMERAL(),i(BIT1(),u_0()))),i(NUMERAL(),u_0()))),i(i(i(COND(),i(criticalu_edgeu_y(),y3)),i(NUMERAL(),i(BIT1(),u_0()))),i(NUMERAL(),u_0())))) -> i(i(i(wtcount3u_y(),y1),y2),y3)
    26: i(i(realu_mul(),i(gchi(),i(sqrt(),x4))),i(i(i(i(i(i(dih4u_x(),x1),x2),x3),x4),x5),x6)) -> i(i(i(i(i(i(gchi4u_x(),x1),x2),x3),x4),x5),x6)
    27: i(cos(),i(i(realu_sub(),i(i(realu_mul(),i(realu_ofu_num(),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0()))))),pi())),x)) -> i(cos(),x)
    28: i(i(m_(),i(i(p_(),n),i(NUMERAL(),i(BIT1(),u_0())))),m) -> i(CARD(),i(i(o_o_(),m),n))
    29: i(UNIONS(),i(components(),u)) -> u
    30: i(i(realu_lt(),i(i(dot(),x),x)),i(i(dot(),y),y)) -> i(i(realu_lt(),i(vectoru_norm(),x)),i(vectoru_norm(),y))
    31: i(i(INTER(),i(INTERS(),f)),i(INTERS(),g)) -> i(INTERS(),i(i(UNION(),f),g))
    32: i(i(realu_lt(),i(i(realu_div(),pi()),i(realu_ofu_num(),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0())))))),i(i(i(arcV(),p),u),v)) -> i(i(realu_lt(),i(cos(),i(i(i(arcV(),p),u),v))),i(realu_ofu_num(),i(NUMERAL(),u_0())))
    33: i(i(a_(),x),i(i(inverse(),i(nodeu_map(),H)),y)) -> i(i(a_(),y),i(i(nodeu_map(),H),x))
    34: i(i(a_(),i(realu_ofu_int(),i(intu_ofu_real(),r))),r) -> i(integer(),r)
    35: i(i(realu_le(),i(i(dot(),x),x)),i(i(dot(),y),y)) -> i(i(realu_le(),i(vectoru_norm(),x)),i(vectoru_norm(),y))
    36: i(pathu_image(),i(reversepath(),g)) -> i(pathu_image(),g)
    37: i(i(i(COND(),i(w_(),i(i(IN(),u),i(i(i(setu_ofu_edge(),v),V),E)))),u),i(i(i(i(i(sigmau_fan(),x),V),E),v),u)) -> i(i(i(i(i(extensionu_sigmau_fan(),x),V),E),v),u)
    38: i(i(matrixu_vectoru_mul(),A0),i(vec(),i(NUMERAL(),u_0()))) -> i(vec(),i(NUMERAL(),u_0()))
    39: i(rotate3(),rhazimu_x()) -> rhazim3u_x()
    40: i(i(continuous(),i(i(o(),lift()),f)),net0) -> i(i(realu_continuous(),f),net0)
    41: i(angle(),i(i(c_(),v),i(i(c_(),u),w))) -> i(i(i(arcV(),u),v),w)
    42: i(i(vectoru_add(),x),i(vec(),i(NUMERAL(),u_0()))) -> x
    43: i(i(realu_integral(),i(closedu_realu_interval(),i(i(CONS(),i(i(c_(),a),a)),NIL()))),f) -> i(realu_ofu_num(),i(NUMERAL(),u_0()))
    44: i(i(a_(),i(i(DELETE(),s0),x)),s0) -> i(w_(),i(i(IN(),x),s0))
    45: i(openu_interval(),i(i(c_(),i(i(vectoru_sub(),x),i(lift(),e))),i(i(vectoru_add(),x),i(lift(),e)))) -> i(ball(),i(i(c_(),x),e))
    46: i(i(i(COND(),i(i(a_(),n),i(NUMERAL(),i(BIT1(),i(BIT1(),u_0()))))),i(NUMERAL(),u_0())),i(i(i(COND(),i(i(a_(),n),i(NUMERAL(),i(BIT0(),i(BIT0(),i(BIT1(),u_0())))))),i(NUMERAL(),i(BIT0(),i(BIT0(),i(BIT1(),i(BIT1(),i(BIT0(),i(BIT0(),i(BIT0(),i(BIT0(),i(BIT0(),i(BIT0(),i(BIT0(),i(BIT1(),u_0())))))))))))))),i(i(i(COND(),i(i(a_(),n),i(NUMERAL(),i(BIT1(),i(BIT0(),i(BIT1(),u_0())))))),i(NUMERAL(),i(BIT1(),i(BIT1(),i(BIT0(),i(BIT0(),i(BIT1(),i(BIT0(),i(BIT1(),i(BIT1(),i(BIT0(),i(BIT1(),i(BIT0(),i(BIT0(),i(BIT1(),u_0()))))))))))))))),i(i(i(COND(),i(i(a_(),n),i(NUMERAL(),i(BIT0(),i(BIT1(),i(BIT1(),u_0())))))),i(NUMERAL(),i(BIT0(),i(BIT0(),i(BIT0(),i(BIT0(),i(BIT1(),i(BIT0(),i(BIT1(),i(BIT1(),i(BIT1(),i(BIT1(),i(BIT0(),i(BIT1(),i(BIT1(),u_0()))))))))))))))),bnu_squanderTarget())))) -> i(bnu_squanderFace(),n)
    47: i(i(intu_lt(),i(i(intu_add(),x),i(intu_neg(),y))),z) -> i(i(intu_lt(),x),i(i(intu_add(),z),y))
    48: i(mku_num(),i(INDu_SUC(),i(destu_num(),n))) -> i(SUC(),n)
    49: i(i(s_b_(),i(i(realu_le(),i(i(au_sy(),s1),i(i(c_(),p),q))),i(i(au_sy(),s0),i(i(c_(),p),q)))),i(i(s_b_(),i(i(realu_le(),i(i(au_sy(),s2),i(i(c_(),p),q))),i(i(au_sy(),s0),i(i(c_(),p),q)))),i(i(s_b_(),i(i(realu_le(),i(i(au_sy(),s0),i(i(c_(),p),q))),i(i(bu_sy(),s1),i(i(c_(),p),q)))),i(i(realu_le(),i(i(au_sy(),s0),i(i(c_(),p),q))),i(i(bu_sy(),s2),i(i(c_(),p),q)))))) -> i(i(i(i(i(COVER5u_SY(),p),q),s0),s1),s2)
    50: i(i(i(i(dihV(),i(i(vectoru_add(),v),u)),i(i(vectoru_add(),v),w)),i(i(vectoru_add(),v),v1)),i(i(vectoru_add(),v),v2)) -> i(i(i(i(dihV(),u),w),v1),v2)
    51: i(i(CONS(),i(i(c_(),i(realu_ofu_num(),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0()))))),i(i(c_(),y1),i(i(DECIMAL(),i(NUMERAL(),i(BIT0(),i(BIT1(),i(BIT0(),i(BIT1(),i(BIT1(),i(BIT0(),i(BIT1(),i(BIT1(),u_0())))))))))),i(NUMERAL(),i(BIT0(),i(BIT0(),i(BIT1(),i(BIT0(),i(BIT0(),i(BIT1(),i(BIT1(),u_0())))))))))))),i(i(CONS(),i(i(c_(),i(realu_ofu_num(),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0()))))),i(i(c_(),y2),i(i(DECIMAL(),i(NUMERAL(),i(BIT0(),i(BIT1(),i(BIT0(),i(BIT1(),i(BIT1(),i(BIT0(),i(BIT1(),i(BIT1(),u_0())))))))))),i(NUMERAL(),i(BIT0(),i(BIT0(),i(BIT1(),i(BIT0(),i(BIT0(),i(BIT1(),i(BIT1(),u_0())))))))))))),i(i(CONS(),i(i(c_(),i(realu_ofu_num(),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0()))))),i(i(c_(),y3),i(i(DECIMAL(),i(NUMERAL(),i(BIT0(),i(BIT1(),i(BIT0(),i(BIT1(),i(BIT1(),i(BIT0(),i(BIT1(),i(BIT1(),u_0())))))))))),i(NUMERAL(),i(BIT0(),i(BIT0(),i(BIT1(),i(BIT0(),i(BIT0(),i(BIT1(),i(BIT1(),u_0())))))))))))),i(i(CONS(),i(i(c_(),i(realu_ofu_num(),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0()))))),i(i(c_(),y4),i(i(DECIMAL(),i(NUMERAL(),i(BIT0(),i(BIT0(),i(BIT1(),i(BIT1(),i(BIT1(),i(BIT1(),i(BIT1(),i(BIT1(),u_0())))))))))),i(NUMERAL(),i(BIT0(),i(BIT0(),i(BIT1(),i(BIT0(),i(BIT0(),i(BIT1(),i(BIT1(),u_0())))))))))))),i(i(CONS(),i(i(c_(),i(i(DECIMAL(),i(NUMERAL(),i(BIT1(),i(BIT0(),i(BIT0(),i(BIT0(),i(BIT0(),i(BIT1(),i(BIT1(),i(BIT1(),u_0())))))))))),i(NUMERAL(),i(BIT0(),i(BIT0(),i(BIT1(),i(BIT0(),i(BIT0(),i(BIT1(),i(BIT1(),u_0())))))))))),i(i(c_(),y5),i(i(DECIMAL(),i(NUMERAL(),i(BIT0(),i(BIT0(),i(BIT1(),i(BIT1(),i(BIT1(),i(BIT1(),i(BIT1(),i(BIT1(),u_0())))))))))),i(NUMERAL(),i(BIT0(),i(BIT0(),i(BIT1(),i(BIT0(),i(BIT0(),i(BIT1(),i(BIT1(),u_0())))))))))))),i(i(CONS(),i(i(c_(),i(i(DECIMAL(),i(NUMERAL(),i(BIT1(),i(BIT0(),i(BIT0(),i(BIT0(),i(BIT0(),i(BIT1(),i(BIT1(),i(BIT1(),u_0())))))))))),i(NUMERAL(),i(BIT0(),i(BIT0(),i(BIT1(),i(BIT0(),i(BIT0(),i(BIT1(),i(BIT1(),u_0())))))))))),i(i(c_(),y6),i(i(DECIMAL(),i(NUMERAL(),i(BIT0(),i(BIT0(),i(BIT1(),i(BIT1(),i(BIT1(),i(BIT1(),i(BIT1(),i(BIT1(),u_0())))))))))),i(NUMERAL(),i(BIT0(),i(BIT0(),i(BIT1(),i(BIT0(),i(BIT0(),i(BIT1(),i(BIT1(),u_0())))))))))))),NIL())))))) -> i(i(i(i(i(i(apexu_std3u_lllu_xww(),y1),y2),y3),y4),y5),y6)
    52: i(i(c_(),i(i(bnu_tri(),g),v)),i(i(c_(),i(i(bnu_quad(),g),v)),i(i(bnu_except(),g),v))) -> i(i(bnu_vertextype(),g),v)
    53: i(i(s_b_(),i(i(intu_lt(),i(intu_ofu_num(),i(NUMERAL(),u_0()))),d)),i(i(s_b_(),i(i(intu_lt(),i(i(intu_sub(),x),d)),y)),i(i(intu_lt(),y),i(i(intu_add(),x),d)))) -> i(i(intu_lt(),i(intu_abs(),i(i(intu_sub(),y),x))),d)
    54: i(i(HASu_SIZE(),i(i(INSERT(),a),i(i(INSERT(),b),EMPTY()))),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0())))) -> i(w_(),i(i(a_(),a),b))
    55: i(i(INSERT(),x),UNIV()) -> UNIV()
    56: i(transp(),i(rowvector(),v)) -> i(columnvector(),v)
    57: i(i(s_b_(),i(i(b_s_(),i(w_(),b)),t1)),i(i(b_s_(),b),t2)) -> i(i(i(COND(),b),t1),t2)
    58: i(realu_abs(),i(twopow(),a)) -> i(twopow(),a)
    59: i(collinear(),i(i(INSERT(),i(vec(),i(NUMERAL(),u_0()))),i(i(INSERT(),v),i(i(INSERT(),w),EMPTY())))) -> i(i(parallel(),v),w)
    60: i(i(i(i(conicu_cap(),v0),v0),r),a) -> EMPTY()
    61: i(i(i(i(i(i(i(deltau_sub1u_x(),x1s),x1),x2),x3),x4),x5),x6) -> i(i(i(i(i(i(deltau_x(),x1s),x2),x3),x4),x5),x6)
    62: i(i(mul6(),i(uni(),i(i(c_(),gchi()),proju_y3()))),dih3u_x()) -> gchi3u_x()
    63: i(i(a_(),i(i(dot(),x),x)),i(i(dot(),y),y)) -> i(i(a_(),i(vectoru_norm(),x)),i(vectoru_norm(),y))
    64: i(i(i(hasu_integral(),i(indicator(),s0)),i(vec(),i(NUMERAL(),u_0()))),UNIV()) -> i(negligible(),s0)
    65: i(sqrt(),i(i(realu_mul(),i(i(dot(),vc),vc)),i(i(realu_sub(),i(i(realu_mul(),i(i(dot(),va),va)),i(i(dot(),vc),vc))),i(i(realu_pow(),i(i(dot(),va),vc)),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0()))))))) -> i(vectoru_norm(),i(i(vectoru_sub(),i(i(r_(),i(i(dot(),vc),vc)),va)),i(i(r_(),i(i(dot(),va),vc)),vc)))
    66: i(i(realu_sub(),i(i(realu_pow(),i(i(realu_add(),a),b)),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0()))))),i(i(realu_mul(),i(realu_ofu_num(),i(NUMERAL(),i(BIT0(),i(BIT0(),i(BIT1(),u_0())))))),i(i(realu_mul(),a),b))) -> i(i(realu_pow(),i(i(realu_sub(),a),b)),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0()))))
    67: i(rank(),i(i(matrixu_mul(),i(transp(),A0)),A0)) -> i(rank(),A0)
    68: i(rotate3(),dihu_x()) -> dih3u_x()
    69: i(sin(),i(i(realu_add(),x),i(i(realu_mul(),i(realu_ofu_num(),n)),i(i(realu_mul(),i(realu_ofu_num(),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0()))))),pi())))) -> i(sin(),x)
    70: i(i(DELETE(),EMPTY()),x) -> EMPTY()
    71: i(i(UNION(),i(i(DIFF(),X),Y)),i(i(DIFF(),Y),X)) -> i(i(SDIFF(),X),Y)
    72: i(i(s_b_(),i(i(DISJOINT(),s0),u)),i(i(DISJOINT(),t),u)) -> i(i(DISJOINT(),i(i(UNION(),s0),t)),u)
    73: i(i(realu_mul(),i(sqn(),i(i(i(i(i(i(deltau_x(),x1),x2),x3),x4),x5),x6))),i(i(i(i(i(i(ldih6u_xu_divu_sqrtdeltau_posbranch(),x1),x2),x3),x4),x5),x6)) -> i(i(i(i(i(i(ldih6u_xu_n(),x1),x2),x3),x4),x5),x6)
    74: i(i(hull(),conic()),EMPTY()) -> EMPTY()
    75: i(i(i(i(i(i(i(i(i(deltau_126u_x(),x3s),x4s),x5s),x1),x2),x3),x4),x5),x6) -> i(i(i(i(i(i(deltau_x(),x1),x2),x3s),x4s),x5s),x6)
    76: i(pathstart(),i(i(o(),f),p)) -> i(f,i(pathstart(),p))
    77: i(i(a_(),i(vec(),m)),i(vec(),n)) -> i(i(a_(),m),n)
    78: i(i(openu_in(),euclidean()),s0) -> i(open(),s0)
    79: i(i(realu_sub(),i(i(realu_mul(),i(cos(),x)),i(cos(),y))),i(i(realu_mul(),i(sin(),x)),i(sin(),y))) -> i(cos(),i(i(realu_add(),x),y))
    80: i(UNIONS(),i(i(IMAGE(),i(DIFF(),X)),V)) -> i(i(DIFF(),X),i(INTERS(),V))
    81: i(i(intu_sub(),i(i(intu_sub(),x),y)),x) -> i(intu_neg(),y)
    82: i(pathstart(),i(linepath(),i(i(c_(),a),b))) -> a
    83: i(i(intu_pow(),i(intu_neg(),i(intu_ofu_num(),x))),i(NUMERAL(),i(BIT0(),n))) -> i(i(intu_pow(),i(intu_ofu_num(),x)),i(NUMERAL(),i(BIT0(),n)))
    84: i(i(matrixu_mul(),i(transp(),B0)),i(transp(),A0)) -> i(transp(),i(i(matrixu_mul(),A0),B0))
    85: i(cos(),i(realu_abs(),x)) -> i(cos(),x)
    86: i(i(sum(),i(i(o_o_(),n),n)),f) -> i(f,n)
    87: i(conv(),EMPTY()) -> EMPTY()
    88: i(i(b_s_(),i(i(a_(),i(i(edgeu_map(),H),x)),x)),i(i(b_s_(),i(i(a_(),i(i(nodeu_map(),H),x)),x)),i(i(a_(),i(i(faceu_map(),H),x)),x))) -> i(i(dartu_degenerate(),H),x)
    89: i(swap(),i(i(c_(),a),a)) -> I()
    90: i(convex(),i(i(IMAGE(),lift()),s0)) -> i(isu_realinterval(),s0)
    91: i(i(intu_sub(),i(intu_neg(),x)),i(intu_neg(),y)) -> i(i(intu_sub(),y),x)
    92: i(sqrt(),i(i(dot(),x),x)) -> i(vectoru_norm(),x)
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