TSTP Solution File: SWW287+1 by SPASS---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SWW287+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n025.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Thu Jul 21 01:28:15 EDT 2022
% Result : Theorem 167.01s 167.30s
% Output : Refutation 169.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 11
% Syntax : Number of clauses : 40 ( 19 unt; 12 nHn; 40 RR)
% Number of literals : 77 ( 0 equ; 33 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 9 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(158,axiom,
~ equal(c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v),
file('SWW287+1.p',unknown),
[] ).
cnf(159,axiom,
equal(c_Polynomial_Odegree(tc_Complex_Ocomplex,v),c_Nat_OSuc(v_n____)),
file('SWW287+1.p',unknown),
[] ).
cnf(160,axiom,
equal(c_Polynomial_Odegree(tc_Complex_Ocomplex,v),c_Nat_OSuc(skc11)),
file('SWW287+1.p',unknown),
[] ).
cnf(236,axiom,
~ equal(c_Polynomial_Odegree(tc_Complex_Ocomplex,v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),
file('SWW287+1.p',unknown),
[] ).
cnf(1282,axiom,
( ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_q),c_Polynomial_Odegree(tc_Complex_Ocomplex,v))))
| equal(hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v),skc5),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)) ),
file('SWW287+1.p',unknown),
[] ).
cnf(1337,axiom,
( ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_q),c_Polynomial_Odegree(tc_Complex_Ocomplex,v))))
| ~ equal(hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q),skc5),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)) ),
file('SWW287+1.p',unknown),
[] ).
cnf(1463,axiom,
( equal(hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v),skc7),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))
| equal(c_Polynomial_Odegree(tc_Complex_Ocomplex,v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
| hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_q),c_Polynomial_Odegree(tc_Complex_Ocomplex,v)))) ),
file('SWW287+1.p',unknown),
[] ).
cnf(1490,axiom,
( ~ equal(hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q),skc7),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))
| equal(c_Polynomial_Odegree(tc_Complex_Ocomplex,v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
| hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_q),c_Polynomial_Odegree(tc_Complex_Ocomplex,v)))) ),
file('SWW287+1.p',unknown),
[] ).
cnf(1513,axiom,
( ~ equal(hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v),u),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))
| ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_q),c_Nat_OSuc(v_n____))))
| equal(hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q),u),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)) ),
file('SWW287+1.p',unknown),
[] ).
cnf(1567,axiom,
( ~ equal(hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v),u),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))
| equal(c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_q)
| equal(hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q),u),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))
| hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_q),c_Polynomial_Odegree(tc_Complex_Ocomplex,v)))) ),
file('SWW287+1.p',unknown),
[] ).
cnf(1568,axiom,
( ~ equal(hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v),u),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))
| equal(c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v)
| equal(hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q),u),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))
| hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_q),c_Polynomial_Odegree(tc_Complex_Ocomplex,v)))) ),
file('SWW287+1.p',unknown),
[] ).
cnf(1622,plain,
equal(c_Nat_OSuc(skc11),c_Nat_OSuc(v_n____)),
inference(rew,[status(thm),theory(equality)],[160,159]),
[iquote('0:Rew:160.0,159.0')] ).
cnf(1623,plain,
equal(c_Polynomial_Odegree(tc_Complex_Ocomplex,v),c_Nat_OSuc(v_n____)),
inference(rew,[status(thm),theory(equality)],[1622,160]),
[iquote('0:Rew:1622.0,160.0')] ).
cnf(1624,plain,
~ equal(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Nat_OSuc(v_n____)),
inference(rew,[status(thm),theory(equality)],[1623,236]),
[iquote('0:Rew:1623.0,236.0')] ).
cnf(1711,plain,
( ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_q),c_Nat_OSuc(v_n____))))
| equal(hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v),skc5),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)) ),
inference(rew,[status(thm),theory(equality)],[1623,1282]),
[iquote('0:Rew:1623.0,1282.0')] ).
cnf(1716,plain,
( ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_q),c_Nat_OSuc(v_n____))))
| ~ equal(hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q),skc5),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)) ),
inference(rew,[status(thm),theory(equality)],[1623,1337]),
[iquote('0:Rew:1623.0,1337.0')] ).
cnf(1726,plain,
( equal(hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v),skc7),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))
| equal(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Nat_OSuc(v_n____))
| hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_q),c_Nat_OSuc(v_n____)))) ),
inference(rew,[status(thm),theory(equality)],[1623,1463]),
[iquote('0:Rew:1623.0,1463.2,1623.0,1463.1')] ).
cnf(1727,plain,
( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_q),c_Nat_OSuc(v_n____))))
| equal(hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v),skc7),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)) ),
inference(mrr,[status(thm)],[1726,1624]),
[iquote('0:MRR:1726.1,1624.0')] ).
cnf(1733,plain,
( ~ equal(hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q),skc7),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))
| equal(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Nat_OSuc(v_n____))
| hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_q),c_Nat_OSuc(v_n____)))) ),
inference(rew,[status(thm),theory(equality)],[1623,1490]),
[iquote('0:Rew:1623.0,1490.2,1623.0,1490.1')] ).
cnf(1734,plain,
( ~ equal(hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q),skc7),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))
| hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_q),c_Nat_OSuc(v_n____)))) ),
inference(mrr,[status(thm)],[1733,1624]),
[iquote('0:MRR:1733.1,1624.0')] ).
cnf(1746,plain,
( ~ equal(hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v),u),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))
| equal(c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_q)
| equal(hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q),u),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))
| hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_q),c_Nat_OSuc(v_n____)))) ),
inference(rew,[status(thm),theory(equality)],[1623,1567]),
[iquote('0:Rew:1623.0,1567.3')] ).
cnf(1747,plain,
( ~ equal(hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v),u),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))
| equal(c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_q)
| equal(hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q),u),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)) ),
inference(mrr,[status(thm)],[1746,1513]),
[iquote('0:MRR:1746.3,1513.1')] ).
cnf(1748,plain,
( ~ equal(hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v),u),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))
| equal(v_q,v)
| equal(hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q),u),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))
| hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_q),c_Nat_OSuc(v_n____)))) ),
inference(rew,[status(thm),theory(equality)],[1623,1568,1747]),
[iquote('0:Rew:1623.0,1568.3,1747.1,1568.1')] ).
cnf(1749,plain,
( ~ equal(hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v),u),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))
| equal(v_q,v)
| equal(hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q),u),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)) ),
inference(mrr,[status(thm)],[1748,1513]),
[iquote('0:MRR:1748.3,1513.1')] ).
cnf(1751,plain,
( ~ equal(hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v),u),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))
| equal(c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v)
| equal(hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q),u),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)) ),
inference(rew,[status(thm),theory(equality)],[1749,1747]),
[iquote('0:Rew:1749.1,1747.1')] ).
cnf(1752,plain,
( ~ equal(hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v),u),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))
| equal(hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q),u),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)) ),
inference(mrr,[status(thm)],[1751,158]),
[iquote('0:MRR:1751.1,158.0')] ).
cnf(1756,plain,
hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_q),c_Nat_OSuc(v_n____)))),
inference(spt,[spt(split,[position(s1)])],[1727]),
[iquote('1:Spt:1727.0')] ).
cnf(1757,plain,
equal(hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v),skc5),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)),
inference(mrr,[status(thm)],[1711,1756]),
[iquote('1:MRR:1711.0,1756.0')] ).
cnf(1758,plain,
~ equal(hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q),skc5),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)),
inference(mrr,[status(thm)],[1716,1756]),
[iquote('1:MRR:1716.0,1756.0')] ).
cnf(131534,plain,
( ~ equal(hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v),skc5),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))
| ~ equal(c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)) ),
inference(spl,[status(thm),theory(equality)],[1752,1758]),
[iquote('1:SpL:1752.1,1758.0')] ).
cnf(131540,plain,
~ equal(hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v),skc5),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)),
inference(obv,[status(thm),theory(equality)],[131534]),
[iquote('1:Obv:131534.1')] ).
cnf(131541,plain,
~ equal(c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)),
inference(rew,[status(thm),theory(equality)],[1757,131540]),
[iquote('1:Rew:1757.0,131540.0')] ).
cnf(131542,plain,
$false,
inference(obv,[status(thm),theory(equality)],[131541]),
[iquote('1:Obv:131541.0')] ).
cnf(131543,plain,
~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_q),c_Nat_OSuc(v_n____)))),
inference(spt,[spt(split,[position(sa)])],[131542,1756]),
[iquote('1:Spt:131542.0,1727.0,1756.0')] ).
cnf(131544,plain,
equal(hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v),skc7),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)),
inference(spt,[spt(split,[position(s2)])],[1727]),
[iquote('1:Spt:131542.0,1727.1')] ).
cnf(132620,plain,
~ equal(hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q),skc7),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)),
inference(mrr,[status(thm)],[1734,131543]),
[iquote('1:MRR:1734.1,131543.0')] ).
cnf(135669,plain,
( ~ equal(hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v),skc7),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))
| ~ equal(c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)) ),
inference(spl,[status(thm),theory(equality)],[1752,132620]),
[iquote('1:SpL:1752.1,132620.0')] ).
cnf(135670,plain,
~ equal(hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v),skc7),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)),
inference(obv,[status(thm),theory(equality)],[135669]),
[iquote('1:Obv:135669.1')] ).
cnf(135671,plain,
~ equal(c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)),
inference(rew,[status(thm),theory(equality)],[131544,135670]),
[iquote('1:Rew:131544.0,135670.0')] ).
cnf(135672,plain,
$false,
inference(obv,[status(thm),theory(equality)],[135671]),
[iquote('1:Obv:135671.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWW287+1 : TPTP v8.1.0. Released v5.2.0.
% 0.07/0.13 % Command : run_spass %d %s
% 0.13/0.34 % Computer : n025.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sun Jun 5 21:50:32 EDT 2022
% 0.13/0.34 % CPUTime :
% 167.01/167.30
% 167.01/167.30 SPASS V 3.9
% 167.01/167.30 SPASS beiseite: Proof found.
% 167.01/167.30 % SZS status Theorem
% 167.01/167.30 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 167.01/167.30 SPASS derived 103167 clauses, backtracked 4334 clauses, performed 2 splits and kept 21753 clauses.
% 167.01/167.30 SPASS allocated 169601 KBytes.
% 167.01/167.30 SPASS spent 0:2:46.80 on the problem.
% 167.01/167.30 0:00:00.06 for the input.
% 167.01/167.30 0:00:00.49 for the FLOTTER CNF translation.
% 167.01/167.30 0:00:01.23 for inferences.
% 167.01/167.30 0:00:04.48 for the backtracking.
% 167.01/167.30 0:2:39.57 for the reduction.
% 167.01/167.30
% 167.01/167.30
% 167.01/167.30 Here is a proof with depth 1, length 40 :
% 167.01/167.30 % SZS output start Refutation
% See solution above
% 169.40/169.63 Formulae used in the proof : fact_pe fact_n fact__096_B_Bthesis_O_A_I_B_Bn_O_Adegree_Ap_A_061_ASuc_An_A_061_061_062_Athesis_J_A_061_061_062_Athesis_096 fact_dp conj_0 fact__096_091_124_AALL_Ax_O_Apoly_Ap_Ax_A_061_A0_A_N_N_062_Apoly_Aq_Ax_A_061_A0_059_Adegree_Ap_A_061_Adegree_Ap_059_Adegree_Ap_A_126_061_A0_A_124_093_061_061_062_Ap_Advd_Aq_A_094_Adegree_Ap_096 fact__096_B_Bx_O_A_091_124_Ap_Advd_Aq_A_094_ASuc_An_059_Apoly_Ap_Ax_A_061_A0_059_Apoly_Aq_Ax_A_126_061_A0_A_124_093_A_061_061_062_AFalse_096
% 169.40/169.63
%------------------------------------------------------------------------------