TSTP Solution File: COL125+1 by Otter---3.3

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Otter---3.3
% Problem  : COL125+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : otter-tptp-script %s

% Computer : n016.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  : 300s
% DateTime : Wed Jul 27 12:48:18 EDT 2022

% Result   : Unknown 3.12s 3.33s
% Output   : None 
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem  : COL125+1 : TPTP v8.1.0. Released v7.5.0.
% 0.12/0.13  % Command  : otter-tptp-script %s
% 0.12/0.34  % Computer : n016.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 300
% 0.12/0.34  % DateTime : Wed Jul 27 02:44:37 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 1.61/1.79  ----- Otter 3.3f, August 2004 -----
% 1.61/1.79  The process was started by sandbox on n016.cluster.edu,
% 1.61/1.79  Wed Jul 27 02:44:37 2022
% 1.61/1.79  The command was "./otter".  The process ID is 29982.
% 1.61/1.79  
% 1.61/1.79  set(prolog_style_variables).
% 1.61/1.79  set(auto).
% 1.61/1.79     dependent: set(auto1).
% 1.61/1.79     dependent: set(process_input).
% 1.61/1.79     dependent: clear(print_kept).
% 1.61/1.79     dependent: clear(print_new_demod).
% 1.61/1.79     dependent: clear(print_back_demod).
% 1.61/1.79     dependent: clear(print_back_sub).
% 1.61/1.79     dependent: set(control_memory).
% 1.61/1.79     dependent: assign(max_mem, 12000).
% 1.61/1.79     dependent: assign(pick_given_ratio, 4).
% 1.61/1.79     dependent: assign(stats_level, 1).
% 1.61/1.79     dependent: assign(max_seconds, 10800).
% 1.61/1.79  clear(print_given).
% 1.61/1.79  
% 1.61/1.79  formula_list(usable).
% 1.61/1.79  all A (A=A).
% 1.61/1.79  all X Y (a(a(k,X),Y)=X).
% 1.61/1.79  all X Y Z (a(a(a(s,X),Y),Z)=a(a(X,Z),a(Y,Z))).
% 1.61/1.79  -(all X0 X1 X2 X3 ((all X4 X5 X6 X7 (a(a(a(a(a(a(a(X3,X4),X4),X5),X5),a(a(k,a(a(k,a(X5,X5)),X0)),a(a(a(s,X1),X5),X5))),a(k,X4)),k)=a(s,a(a(a(s,a(a(a(X2,X3),a(a(X6,s),s)),a(s,k))),a(a(X6,a(s,s)),X3)),s))))-> ((all X4 X5 X6 X7 (a(a(a(a(a(a(a(X3,X5),X4),X6),X5),a(k,a(a(X7,X7),a(a(a(X0,X2),X5),X5)))),a(k,a(X1,X2))),a(a(X7,a(s,s)),k))=a(k,a(a(s,a(a(a(X2,X4),X0),s)),a(a(k,a(X3,k)),k)))))-> ((all X4 X5 X6 X7 (a(a(a(a(a(a(a(X2,X6),X5),X7),X7),a(a(s,a(a(a(a(s,k),k),k),X5)),a(X6,a(X5,k)))),X0),s)=a(k,a(a(a(a(a(X3,X5),X2),a(a(a(a(a(k,a(k,X0)),k),X4),k),k)),X1),a(X1,s)))))-> ((all X4 X5 X6 X7 (a(a(a(a(a(a(a(a(X2,X5),X5),X4),X4),a(a(a(a(a(a(a(a(X2,X3),X1),s),k),s),X2),X6),k)),a(a(a(a(s,s),a(X3,X0)),k),s)),a(s,X5)),a(a(a(a(a(s,X7),k),X4),k),k))=a(a(a(X7,a(a(a(s,X4),k),a(a(X1,X6),k))),a(X0,a(k,s))),a(a(a(a(a(k,a(a(a(a(a(X2,s),X7),X1),k),X0)),X4),s),s),k))))-> ((all X4 X5 X6 X7 (a(a(a(a(a(a(a(a(a(X1,X7),X4),X7),X7),a(a(a(a(k,a(a(a(a(k,s),a(s,X3)),s),X3)),s),a(k,k)),X7)),X3),X1),a(a(X4,X5),k)),a(a(X4,s),k))=a(a(a(X5,a(a(s,a(X1,s)),X2)),a(a(X1,X7),s)),s)))-> ((all X4 X5 X6 X7 (a(a(a(a(a(a(a(a(a(X1,X6),X5),X6),X5),a(X0,a(a(X4,a(a(s,X6),X1)),a(s,X7)))),a(X1,X7)),a(X4,s)),a(a(X3,k),X5)),s)=a(k,a(a(a(a(a(s,s),s),s),s),a(k,s)))))-> ((all X4 X5 X6 X7 (a(a(a(a(a(a(a(X0,X4),X4),X7),X6),a(a(X1,a(a(s,a(k,k)),a(X2,X2))),X0)),X4),X7)=a(k,a(a(k,a(X1,X5)),k))))-> -(all X4 X5 X6 X7 (a(a(a(a(a(a(a(X0,X5),X4),X4),X7),a(k,a(a(X4,X3),k))),a(a(a(a(s,X7),s),X1),X6)),s)=a(a(a(X5,a(a(a(s,s),X6),a(X6,X5))),a(X7,s)),a(X4,s)))))))))))).
% 1.61/1.79  end_of_list.
% 1.61/1.79  
% 1.61/1.79  -------> usable clausifies to:
% 1.61/1.79  
% 1.61/1.79  list(usable).
% 1.61/1.79  0 [] A=A.
% 1.61/1.79  0 [] a(a(k,X),Y)=X.
% 1.61/1.79  0 [] a(a(a(s,X),Y),Z)=a(a(X,Z),a(Y,Z)).
% 1.61/1.79  0 [] a(a(a(a(a(a(a($c1,X4),X4),X5),X5),a(a(k,a(a(k,a(X5,X5)),$c4)),a(a(a(s,$c3),X5),X5))),a(k,X4)),k)=a(s,a(a(a(s,a(a(a($c2,$c1),a(a(X6,s),s)),a(s,k))),a(a(X6,a(s,s)),$c1)),s)).
% 1.61/1.79  0 [] a(a(a(a(a(a(a($c1,X9),X8),X10),X9),a(k,a(a(X11,X11),a(a(a($c4,$c2),X9),X9)))),a(k,a($c3,$c2))),a(a(X11,a(s,s)),k))=a(k,a(a(s,a(a(a($c2,X8),$c4),s)),a(a(k,a($c1,k)),k))).
% 1.61/1.79  0 [] a(a(a(a(a(a(a($c2,X14),X13),X15),X15),a(a(s,a(a(a(a(s,k),k),k),X13)),a(X14,a(X13,k)))),$c4),s)=a(k,a(a(a(a(a($c1,X13),$c2),a(a(a(a(a(k,a(k,$c4)),k),X12),k),k)),$c3),a($c3,s))).
% 1.61/1.79  0 [] a(a(a(a(a(a(a(a($c2,X17),X17),X16),X16),a(a(a(a(a(a(a(a($c2,$c1),$c3),s),k),s),$c2),X18),k)),a(a(a(a(s,s),a($c1,$c4)),k),s)),a(s,X17)),a(a(a(a(a(s,X19),k),X16),k),k))=a(a(a(X19,a(a(a(s,X16),k),a(a($c3,X18),k))),a($c4,a(k,s))),a(a(a(a(a(k,a(a(a(a(a($c2,s),X19),$c3),k),$c4)),X16),s),s),k)).
% 1.61/1.79  0 [] a(a(a(a(a(a(a(a(a($c3,X23),X20),X23),X23),a(a(a(a(k,a(a(a(a(k,s),a(s,$c1)),s),$c1)),s),a(k,k)),X23)),$c1),$c3),a(a(X20,X21),k)),a(a(X20,s),k))=a(a(a(X21,a(a(s,a($c3,s)),$c2)),a(a($c3,X23),s)),s).
% 1.61/1.79  0 [] a(a(a(a(a(a(a(a(a($c3,X26),X25),X26),X25),a($c4,a(a(X24,a(a(s,X26),$c3)),a(s,X27)))),a($c3,X27)),a(X24,s)),a(a($c1,k),X25)),s)=a(k,a(a(a(a(a(s,s),s),s),s),a(k,s))).
% 1.61/1.79  0 [] a(a(a(a(a(a(a($c4,X28),X28),X31),X30),a(a($c3,a(a(s,a(k,k)),a($c2,$c2))),$c4)),X28),X31)=a(k,a(a(k,a($c3,X29)),k)).
% 1.61/1.79  0 [] a(a(a(a(a(a(a($c4,X33),X32),X32),X35),a(k,a(a(X32,$c1),k))),a(a(a(a(s,X35),s),$c3),X34)),s)=a(a(a(X33,a(a(a(s,s),X34),a(X34,X33))),a(X35,s)),a(X32,s)).
% 1.61/1.79  end_of_list.
% 1.61/1.79  
% 1.61/1.79  SCAN INPUT: prop=0, horn=1, equality=1, symmetry=0, max_lits=1.
% 1.61/1.79  
% 1.61/1.79  All clauses are units, and equality is present; the
% 1.61/1.79  strategy will be Knuth-Bendix with positive clauses in sos.
% 1.61/1.79  
% 1.61/1.79     dependent: set(knuth_bendix).
% 1.61/1.79     dependent: set(anl_eq).
% 1.61/1.79     dependent: set(para_from).
% 1.61/1.79     dependent: set(para_into).
% 1.61/1.79     dependent: clear(para_from_right).
% 1.61/1.79     dependent: clear(para_into_right).
% 1.61/1.79     dependent: set(para_from_vars).
% 1.61/1.79     dependent: set(eq_units_both_ways).
% 1.61/1.79     dependent: set(dynamic_demod_all).
% 1.61/1.79     dependent: set(dynamic_demod).
% 1.61/1.79     dependent: set(order_eq).
% 1.61/1.79     dependent: set(back_demod).
% 1.61/1.79     dependent: set(lrpo).
% 1.61/1.79  
% 1.61/1.79  There is no negative clause, so all clause lists will
% 1.61/1.79  be printed at the end of the search.
% 1.61/1.79  
% 1.61/1.79     dependent: set(print_lists_at_end).
% 1.61/1.79  
% 1.61/1.79  ------------> process usable:
% 1.61/1.79  
% 1.61/1.79  ------------> process sos:
% 1.61/1.79  ** KEPT (pick-wt=3): 1 [] A=A.
% 1.61/1.79  ** KEPT (pick-wt=7): 2 [] a(a(k,A),B)=A.
% 1.61/1.79  ---> New Demodulator: 3 [new_demod,2] a(a(k,A),B)=A.
% 1.61/1.79  ** KEPT (pick-wt=15): 4 [] a(a(a(s,A),B),C)=a(a(A,C),a(B,C)).
% 1.61/1.79  ** KEPT (pick-wt=47): 6 [copy,5,demod,3,3] a(a(a(a(a(a(a($c1,A),A),B),B),a(B,B)),a(k,A)),k)=a(s,a(a(a(s,a(a(a($c2,$c1),a(a(C,s),s)),a(s,k))),a(a(C,a(s,s)),$c1)),s)).
% 1.61/1.79  ** KEPT (pick-wt=53): 8 [copy,7,demod,3] a(a(a(a(a(a(a($c1,A),B),C),A),a(k,a(a(D,D),a(a(a($c4,$c2),A),A)))),a(k,a($c3,$c2))),a(a(D,a(s,s)),k))=a(k,a(a(s,a(a(a($c2,B),$c4),s)),a($c1,k))).
% 1.61/1.79  ---> New Demodulator: 9 [new_demod,8] a(a(a(a(a(a(a($c1,A),B),C),A),a(k,a(a(D,D),a(a(a($c4,$c2),A),A)))),a(k,a($c3,$c2))),a(a(D,a(s,s)),k))=a(k,a(a(s,a(a(a($c2,B),$c4),s)),a($c1,k))).
% 1.61/1.79  ** KEPT (pick-wt=51): 11 [copy,10,demod,3,3] a(a(a(a(a(a(a($c2,A),B),C),C),a(a(s,a(a(a(a(s,k),k),k),B)),a(A,a(B,k)))),$c4),s)=a(k,a(a(a(a(a($c1,B),$c2),a(a($c4,k),k)),$c3),a($c3,s))).
% 1.61/1.79  ---> New Demodulator: 12 [new_demod,11] a(a(a(a(a(a(a($c2,A),B),C),C),a(a(s,a(a(a(a(s,k),k),k),B)),a(A,a(B,k)))),$c4),s)=a(k,a(a(a(a(a($c1,B),$c2),a(a($c4,k),k)),$c3),a($c3,s))).
% 1.61/1.79  ** KEPT (pick-wt=93): 14 [copy,13,demod,3] a(a(a(a(a(a(a(a($c2,A),A),B),B),a(a(a(a(a(a(a(a($c2,$c1),$c3),s),k),s),$c2),C),k)),a(a(a(a(s,s),a($c1,$c4)),k),s)),a(s,A)),a(a(a(a(a(s,D),k),B),k),k))=a(a(a(D,a(a(a(s,B),k),a(a($c3,C),k))),a($c4,a(k,s))),a(a(a(a(a(a(a(a($c2,s),D),$c3),k),$c4),s),s),k)).
% 1.61/1.79  ** KEPT (pick-wt=55): 16 [copy,15,demod,3,3] a(a(a(a(a(a(a(a(a($c3,A),B),A),A),a(a(a(a(s,s),$c1),a(k,k)),A)),$c1),$c3),a(a(B,C),k)),a(a(B,s),k))=a(a(a(C,a(a(s,a($c3,s)),$c2)),a(a($c3,A),s)),s).
% 1.61/1.79  ** KEPT (pick-wt=55): 17 [] a(a(a(a(a(a(a(a(a($c3,A),B),A),B),a($c4,a(a(C,a(a(s,A),$c3)),a(s,D)))),a($c3,D)),a(C,s)),a(a($c1,k),B)),s)=a(k,a(a(a(a(a(s,s),s),s),s),a(k,s))).
% 1.61/1.79  ---> New Demodulator: 18 [new_demod,17] a(a(a(a(a(a(a(a(a($c3,A),B),A),B),a($c4,a(a(C,a(a(s,A),$c3)),a(s,D)))),a($c3,D)),a(C,s)),a(a($c1,k),B)),s)=a(k,a(a(a(a(a(s,s),s),s),s),a(k,s))).
% 1.61/1.79  ** KEPT (pick-wt=33): 20 [copy,19,demod,3] a(a(a(a(a(a(a($c4,A),A),B),C),a(a($c3,a(a(s,a(k,k)),a($c2,$c2))),$c4)),A),B)=a(k,a($c3,D)).
% 1.61/1.79  ** KEPT (pick-wt=49): 21 [] a(a(a(a(a(a(a($c4,A),B),B),C),a(k,a(a(B,$c1),k))),a(a(a(a(s,C),s),$c3),D)),s)=a(a(a(A,a(a(a(s,s),D),a(D,A))),a(C,s)),a(B,s)).
% 1.61/1.79    Following clause subsumed by 1 during input processing: 0 [copy,1,flip.1] A=A.
% 1.61/1.79  >>>> Starting back demodulation with 3.
% 1.61/1.79  ** KEPT (pick-wt=15): 22 [copy,4,flip.1] a(a(A,B),a(C,B))=a(a(a(s,A),C),B).
% 1.61/1.79  ** KEPT (pick-wt=47): 23 [copy,6,flip.1] a(s,a(a(a(s,a(a(a($c2,$c1),a(a(A,s),s)),a(s,k))),a(a(A,a(s,s)),$c1)),s))=a(a(a(a(a(a(a($c1,B),B),C),C),a(C,C)),a(k,B)),k).
% 1.61/1.79  >>>> Starting back demodulation with 9.
% 1.61/1.79  >>>> Starting back demodulation with 12.
% 1.61/1.79  ** KEPT (pick-wt=93): 24 [copy,14,flip.1] a(a(a(A,a(a(a(s,B),k),a(a($c3,C),k))),a($c4,a(k,s))),a(a(a(a(a(a(a(a($c2,s),A),$c3),k),$c4),s),s),k))=a(a(a(a(a(a(a(a($c2,D),D),B),B),a(a(a(a(a(a(a(a($c2,$c1),$c3),s),k),s),$c2),C),k)),a(a(a(a(s,s),a($c1,$c4)),k),s)),a(s,D)),a(a(a(a(a(s,A),k),B),k),k)).
% 1.61/1.79  ** KEPT (pick-wt=55): 25 [copy,16,flip.1] a(a(a(A,a(a(s,a($c3,s)),$c2)),a(a($c3,B),s)),s)=a(a(a(a(a(a(a(a(a($c3,B),C),B),B),a(a(a(a(s,s),$c1),a(k,k)),B)),$c1),$c3),a(a(C,A),k)),a(a(C,s),k)).
% 1.61/1.79  >>>> Starting back demodulation with 18.
% 1.61/1.79  ** KEPT (pick-wt=33): 26 [copy,20,flip.1] a(k,a($c3,A))=a(a(a(a(a(a(a($c4,B),B),C),D),a(a($c3,a(a(s,a(k,k)),a($c2,$c2))),$c4)),B),C).
% 1.61/1.79  ** KEPT (pick-wt=49): 27 [copy,21,flip.1] a(a(a(A,a(a(a(s,s),B),a(B,A))),a(C,s)),a(D,s))=a(a(a(a(a(a(a($c4,A),D),D),C),a(k,a(a(D,$c1),k))),a(a(a(a(s,C),s),$c3),B)),s).
% 1.61/1.79    Following clause subsumed by 4 during input processing: 0 [copy,22,flip.1] a(a(a(s,A),B),C)=a(a(A,C),a(B,C)).
% 3.12/3.33    Following clause subsumed by 6 during input processing: 0 [copy,23,flip.1] a(a(a(a(a(a(a($c1,A),A),B),B),a(B,B)),a(k,A)),k)=a(s,a(a(a(s,a(a(a($c2,$c1),a(a(C,s),s)),a(s,k))),a(a(C,a(s,s)),$c1)),s)).
% 3.12/3.33    Following clause subsumed by 14 during input processing: 0 [copy,24,flip.1] a(a(a(a(a(a(a(a($c2,A),A),B),B),a(a(a(a(a(a(a(a($c2,$c1),$c3),s),k),s),$c2),C),k)),a(a(a(a(s,s),a($c1,$c4)),k),s)),a(s,A)),a(a(a(a(a(s,D),k),B),k),k))=a(a(a(D,a(a(a(s,B),k),a(a($c3,C),k))),a($c4,a(k,s))),a(a(a(a(a(a(a(a($c2,s),D),$c3),k),$c4),s),s),k)).
% 3.12/3.33    Following clause subsumed by 16 during input processing: 0 [copy,25,flip.1] a(a(a(a(a(a(a(a(a($c3,A),B),A),A),a(a(a(a(s,s),$c1),a(k,k)),A)),$c1),$c3),a(a(B,C),k)),a(a(B,s),k))=a(a(a(C,a(a(s,a($c3,s)),$c2)),a(a($c3,A),s)),s).
% 3.12/3.33    Following clause subsumed by 20 during input processing: 0 [copy,26,flip.1] a(a(a(a(a(a(a($c4,A),A),B),C),a(a($c3,a(a(s,a(k,k)),a($c2,$c2))),$c4)),A),B)=a(k,a($c3,D)).
% 3.12/3.33    Following clause subsumed by 21 during input processing: 0 [copy,27,flip.1] a(a(a(a(a(a(a($c4,A),B),B),C),a(k,a(a(B,$c1),k))),a(a(a(a(s,C),s),$c3),D)),s)=a(a(a(A,a(a(a(s,s),D),a(D,A))),a(C,s)),a(B,s)).
% 3.12/3.33  
% 3.12/3.33  ======= end of input processing =======
% 3.12/3.33  
% 3.12/3.33  =========== start of search ===========
% 3.12/3.33  
% 3.12/3.33  
% 3.12/3.33  Resetting weight limit to 17.
% 3.12/3.33  
% 3.12/3.33  
% 3.12/3.33  Resetting weight limit to 17.
% 3.12/3.33  
% 3.12/3.33  sos_size=221
% 3.12/3.33  
% 3.12/3.33  Search stopped because sos empty.
% 3.12/3.33  
% 3.12/3.33  
% 3.12/3.33  Search stopped because sos empty.
% 3.12/3.33  
% 3.12/3.33  ============ end of search ============
% 3.12/3.33  
% 3.12/3.33  list(usable).
% 3.12/3.33  1 [] A=A.
% 3.12/3.33  2 [] a(a(k,A),B)=A.
% 3.12/3.33  4 [] a(a(a(s,A),B),C)=a(a(A,C),a(B,C)).
% 3.12/3.33  22 [copy,4,flip.1] a(a(A,B),a(C,B))=a(a(a(s,A),C),B).
% 3.12/3.33  36 [para_into,22.1.1,2.1.1,flip.1] a(a(a(s,k),A),B)=B.
% 3.12/3.33  6 [copy,5,demod,3,3] a(a(a(a(a(a(a($c1,A),A),B),B),a(B,B)),a(k,A)),k)=a(s,a(a(a(s,a(a(a($c2,$c1),a(a(C,s),s)),a(s,k))),a(a(C,a(s,s)),$c1)),s)).
% 3.12/3.33  48 [para_into,36.1.1.1,22.1.1] a(a(a(a(s,s),A),k),B)=B.
% 3.12/3.33  50 [para_into,36.1.1,22.1.1] a(a(a(s,a(s,k)),A),B)=a(A,B).
% 3.12/3.33  77 [para_into,48.1.1.1.1,22.1.1] a(a(a(a(a(s,s),A),s),k),B)=B.
% 3.12/3.33  30 [para_into,22.1.1.1,2.1.1,flip.1] a(a(a(s,a(k,A)),B),C)=a(A,a(B,C)).
% 3.12/3.33  8 [copy,7,demod,3] a(a(a(a(a(a(a($c1,A),B),C),A),a(k,a(a(D,D),a(a(a($c4,$c2),A),A)))),a(k,a($c3,$c2))),a(a(D,a(s,s)),k))=a(k,a(a(s,a(a(a($c2,B),$c4),s)),a($c1,k))).
% 3.12/3.33  34 [para_into,22.1.1.2,2.1.1] a(a(A,B),C)=a(a(a(s,A),a(k,C)),B).
% 3.12/3.33  42 [copy,34,flip.1] a(a(a(s,A),a(k,B)),C)=a(a(A,C),B).
% 3.12/3.33  79 [para_into,48.1.1,22.1.1] a(a(a(s,a(a(s,s),A)),B),k)=a(B,k).
% 3.12/3.33  97 [para_into,77.1.1.1.1.1,22.1.1] a(a(a(a(a(a(s,s),A),s),s),k),B)=B.
% 3.12/3.33  17 [] a(a(a(a(a(a(a(a(a($c3,A),B),A),B),a($c4,a(a(C,a(a(s,A),$c3)),a(s,D)))),a($c3,D)),a(C,s)),a(a($c1,k),B)),s)=a(k,a(a(a(a(a(s,s),s),s),s),a(k,s))).
% 3.12/3.33  195 [para_from,34.1.1,48.1.1.1] a(a(a(a(s,a(s,s)),a(k,k)),A),B)=B.
% 3.12/3.33  228 [para_into,42.1.1.1,22.1.1] a(a(a(a(s,s),k),A),B)=a(a(A,B),A).
% 3.12/3.33  233 [copy,228,flip.1] a(a(A,B),A)=a(a(a(a(s,s),k),A),B).
% 3.12/3.33  54 [para_from,36.1.1,22.1.1.2] a(a(A,B),B)=a(a(a(s,A),a(a(s,k),C)),B).
% 3.12/3.33  20 [copy,19,demod,3] a(a(a(a(a(a(a($c4,A),A),B),C),a(a($c3,a(a(s,a(k,k)),a($c2,$c2))),$c4)),A),B)=a(k,a($c3,D)).
% 3.12/3.33  364 [para_from,363.1.1,233.1.1.1,demod,3,49] a($c3,A)=a($c3,B).
% 3.12/3.33  377 [para_into,365.1.1.2,195.1.1,demod,196] a(a($c3,A),B)=a(a($c3,C),B).
% 3.12/3.33  21 [] a(a(a(a(a(a(a($c4,A),B),B),C),a(k,a(a(B,$c1),k))),a(a(a(a(s,C),s),$c3),D)),s)=a(a(a(A,a(a(a(s,s),D),a(D,A))),a(C,s)),a(B,s)).
% 3.12/3.33  366 [para_from,364.1.1,22.1.1.2] a(a(A,B),a($c3,C))=a(a(a(s,A),$c3),B).
% 3.12/3.33  381 [para_into,366.1.1.1,2.1.1,demod,31] a(A,a($c3,B))=a(A,a($c3,C)).
% 3.12/3.33  367 [para_from,364.1.1,233.1.1.1] a(a($c3,A),$c3)=a(a(a(a(s,s),k),$c3),B).
% 3.12/3.33  369 [para_from,364.1.1,34.1.1.1] a(a($c3,A),B)=a(a(a(s,$c3),a(k,B)),C).
% 3.12/3.33  23 [copy,6,flip.1] a(s,a(a(a(s,a(a(a($c2,$c1),a(a(A,s),s)),a(s,k))),a(a(A,a(s,s)),$c1)),s))=a(a(a(a(a(a(a($c1,B),B),C),C),a(C,C)),a(k,B)),k).
% 3.12/3.33  370 [para_from,364.1.1,22.1.1.1] a(a($c3,A),a(B,C))=a(a(a(s,$c3),B),C).
% 3.12/3.33  371 [copy,366,flip.1] a(a(a(s,A),$c3),B)=a(a(A,B),a($c3,C)).
% 3.12/3.33  372 [copy,367,flip.1] a(a(a(a(s,s),k),$c3),A)=a(a($c3,B),$c3).
% 3.12/3.33  374 [copy,369,flip.1] a(a(a(s,$c3),a(k,A)),B)=a(a($c3,C),A).
% 3.12/3.33  26 [copy,20,flip.1] a(k,a($c3,A))=a(a(a(a(a(a(a($c4,B),B),C),D),a(a($c3,a(a(s,a(k,k)),a($c2,$c2))),$c4)),B),C).
% 3.12/3.33  375 [copy,370,flip.1] a(a(a(s,$c3),A),B)=a(a($c3,C),a(A,B)).
% 3.12/3.33  376 [para_into,365.1.1.2,364.1.1] a(a($c3,A),a($c3,B))=a(a($c3,C),a($c3,D)).
% 3.12/3.33  378 [para_into,366.1.1.1,364.1.1] a(a($c3,A),a($c3,B))=a(a(a(s,$c3),$c3),C).
% 3.12/3.33  383 [copy,378,flip.1] a(a(a(s,$c3),$c3),A)=a(a($c3,B),a($c3,C)).
% 3.12/3.33  27 [copy,21,flip.1] a(a(a(A,a(a(a(s,s),B),a(B,A))),a(C,s)),a(D,s))=a(a(a(a(a(a(a($c4,A),D),D),C),a(k,a(a(D,$c1),k))),a(a(a(a(s,C),s),$c3),B)),s).
% 3.12/3.33  388 [para_into,381.1.1,30.1.1,demod,31] a(A,a(B,a($c3,C)))=a(A,a(B,a($c3,D))).
% 3.12/3.33  389 [para_from,381.1.1,30.1.1.1,demod,31] a(A,a(a($c3,B),C))=a(A,a(a($c3,D),C)).
% 3.12/3.33  390 [para_into,370.1.1,366.1.1] a(a(a(s,$c3),$c3),A)=a(a(a(s,$c3),$c3),B).
% 3.12/3.33  404 [para_from,388.1.1,50.1.1.1,demod,51] a(a(A,a($c3,B)),C)=a(a(A,a($c3,D)),C).
% 3.12/3.33  28 [para_into,22.1.1.1,22.1.1] a(a(a(a(s,A),B),C),a(D,a(B,C)))=a(a(a(s,a(A,C)),D),a(B,C)).
% 3.12/3.33  406 [para_from,389.1.1,50.1.1.1,demod,51] a(a(a($c3,A),B),C)=a(a(a($c3,D),B),C).
% 3.12/3.33  55 [para_from,36.1.1,22.1.1.1] a(A,a(B,A))=a(a(a(s,a(a(s,k),C)),B),A).
% 3.12/3.33  411 [para_into,55.1.1,364.1.1] a($c3,A)=a(a(a(s,a(a(s,k),B)),C),$c3).
% 3.12/3.33  412 [para_into,55.1.1,2.1.1,flip.1] a(a(a(s,a(a(s,k),A)),B),a(k,C))=C.
% 3.12/3.33  29 [para_into,22.1.1.1,4.1.1] a(a(a(A,B),a(C,B)),a(D,B))=a(a(a(s,a(a(s,A),C)),D),B).
% 3.12/3.33  414 [copy,411,flip.1] a(a(a(s,a(a(s,k),A)),B),$c3)=a($c3,C).
% 3.12/3.33  427 [para_into,412.1.1,22.1.1] a(a(a(s,a(s,a(a(s,k),A))),k),B)=B.
% 3.12/3.33  56 [copy,54,flip.1] a(a(a(s,A),a(a(s,k),B)),C)=a(a(A,C),C).
% 3.12/3.33  57 [copy,55,flip.1] a(a(a(s,a(a(s,k),A)),B),C)=a(C,a(B,C)).
% 3.12/3.33  32 [para_into,22.1.1.2,22.1.1] a(a(A,a(B,C)),a(a(a(s,D),B),C))=a(a(a(s,A),a(D,C)),a(B,C)).
% 3.12/3.33  89 [para_into,50.1.1,22.1.1] a(a(a(s,a(s,a(s,k))),A),B)=a(B,a(A,B)).
% 3.12/3.33  90 [copy,89,flip.1] a(A,a(B,A))=a(a(a(s,a(s,a(s,k))),B),A).
% 3.12/3.33  443 [para_into,90.1.1,364.1.1] a($c3,A)=a(a(a(s,a(s,a(s,k))),B),$c3).
% 3.12/3.33  444 [para_into,90.1.1,2.1.1,flip.1] a(a(a(s,a(s,a(s,k))),A),a(k,B))=B.
% 3.12/3.33  33 [para_into,22.1.1.2,4.1.1] a(a(A,B),a(a(C,B),a(D,B)))=a(a(a(s,A),a(a(s,C),D)),B).
% 3.12/3.33  446 [copy,443,flip.1] a(a(a(s,a(s,a(s,k))),A),$c3)=a($c3,B).
% 3.12/3.33  455 [para_into,444.1.1,22.1.1] a(a(a(s,a(s,a(s,a(s,k)))),k),A)=A.
% 3.12/3.33  99 [para_into,77.1.1,22.1.1] a(a(a(s,a(a(a(s,s),A),s)),B),k)=a(B,k).
% 3.12/3.33  164 [para_into,34.1.1.1,36.1.1] a(A,B)=a(a(a(s,a(a(s,k),C)),a(k,B)),A).
% 3.12/3.33  35 [para_into,22.1.1,4.1.1] a(a(A,a(B,C)),a(C,a(B,C)))=a(a(a(s,a(s,A)),B),C).
% 3.12/3.33  472 [para_from,35.1.1,50.1.1.1,demod,3] a(a(a(a(s,a(s,s)),s),k),A)=a(s,k).
% 3.12/3.33  170 [para_into,34.1.1,50.1.1] a(A,B)=a(a(a(s,a(s,a(s,k))),a(k,B)),A).
% 3.12/3.33  181 [copy,164,flip.1] a(a(a(s,a(a(s,k),A)),a(k,B)),C)=a(C,B).
% 3.12/3.33  187 [copy,170,flip.1] a(a(a(s,a(s,a(s,k))),a(k,A)),B)=a(B,A).
% 3.12/3.33  38 [copy,28,flip.1] a(a(a(s,a(A,B)),C),a(D,B))=a(a(a(a(s,A),D),B),a(C,a(D,B))).
% 3.12/3.33  191 [para_from,34.1.1,77.1.1.1] a(a(a(a(s,a(a(s,s),A)),a(k,k)),s),B)=B.
% 3.12/3.33  193 [para_from,34.1.1,77.1.1.1.1] a(a(a(a(a(s,a(s,s)),a(k,s)),A),k),B)=B.
% 3.12/3.33  263 [para_into,97.1.1.1.1.1.1,22.1.1] a(a(a(a(a(a(a(s,s),A),s),s),s),k),B)=B.
% 3.12/3.33  357 [para_into,195.1.1.1,22.1.1] a(a(a(a(s,a(s,a(s,s))),A),a(k,k)),B)=B.
% 3.12/3.33  39 [copy,29,flip.1] a(a(a(s,a(a(s,A),B)),C),D)=a(a(a(A,D),a(B,D)),a(C,D)).
% 3.12/3.33  359 [para_from,233.1.1,50.1.1.1] a(a(a(a(a(s,s),k),s),a(s,k)),A)=a(s,A).
% 3.12/3.33  361 [para_from,54.1.1,228.1.1.1,demod,3] a(a(a(a(s,a(s,s)),a(a(s,k),A)),k),B)=B.
% 3.12/3.33  368 [para_from,364.1.1,54.1.1.1] a(a($c3,A),B)=a(a(a(s,$c3),a(a(s,k),C)),B).
% 3.12/3.33  373 [copy,368,flip.1] a(a(a(s,$c3),a(a(s,k),A)),B)=a(a($c3,C),B).
% 3.12/3.33  40 [copy,32,flip.1] a(a(a(s,A),a(B,C)),a(D,C))=a(a(A,a(D,C)),a(a(a(s,B),D),C)).
% 3.12/3.33  380 [para_into,366.1.1.1,36.1.1] a(A,a($c3,B))=a(a(a(s,a(a(s,k),C)),$c3),A).
% 3.12/3.33  382 [para_into,366.1.1,50.1.1] a(A,a($c3,B))=a(a(a(s,a(s,a(s,k))),$c3),A).
% 3.12/3.33  384 [copy,380,flip.1] a(a(a(s,a(a(s,k),A)),$c3),B)=a(B,a($c3,C)).
% 3.12/3.33  385 [copy,382,flip.1] a(a(a(s,a(s,a(s,k))),$c3),A)=a(A,a($c3,B)).
% 3.12/3.33  41 [copy,33,flip.1] a(a(a(s,A),a(a(s,B),C)),D)=a(a(A,D),a(a(B,D),a(C,D))).
% 3.12/3.33  392 [para_into,372.1.1,22.1.1] a(a(a(s,a(a(s,s),k)),A),$c3)=a(a($c3,B),$c3).
% 3.12/3.33  394 [copy,392,flip.1] a(a($c3,A),$c3)=a(a(a(s,a(a(s,s),k)),B),$c3).
% 3.12/3.33  396 [para_into,374.1.1,22.1.1] a(a(a(s,a(s,$c3)),A),a(k,B))=a(a($c3,C),B).
% 3.12/3.33  398 [copy,396,flip.1] a(a($c3,A),B)=a(a(a(s,a(s,$c3)),C),a(k,B)).
% 3.12/3.33  43 [copy,35,flip.1] a(a(a(s,a(s,A)),B),C)=a(a(A,a(B,C)),a(C,a(B,C))).
% 3.12/3.33  400 [para_into,383.1.1,22.1.1] a(a(a(s,a(s,$c3)),A),$c3)=a(a($c3,B),a($c3,C)).
% 3.12/3.33  402 [copy,400,flip.1] a(a($c3,A),a($c3,B))=a(a(a(s,a(s,$c3)),C),$c3).
% 3.12/3.33  408 [para_into,390.1.1,22.1.1] a(a(a(s,a(s,$c3)),A),$c3)=a(a(a(s,$c3),$c3),B).
% 3.12/3.33  410 [copy,408,flip.1] a(a(a(s,$c3),$c3),A)=a(a(a(s,a(s,$c3)),B),$c3).
% 3.12/3.33  44 [back_demod,11,demod,37] a(a(a(a(a(a(a($c2,A),B),C),C),a(a(s,a(k,B)),a(A,a(B,k)))),$c4),s)=a(k,a(a(a(a(a($c1,B),$c2),a(a($c4,k),k)),$c3),a($c3,s))).
% 3.12/3.33  415 [para_from,55.1.1,36.1.1.1] a(a(a(a(s,a(a(s,k),A)),B),a(s,k)),C)=C.
% 3.12/3.33  417 [para_from,55.1.1,2.1.1.1] a(a(a(a(s,a(a(s,k),A)),B),k),C)=a(B,k).
% 3.12/3.33  421 [para_into,412.1.1.1.1.2,22.1.1] a(a(a(s,a(a(a(s,s),A),k)),B),a(k,C))=C.
% 3.12/3.33  425 [para_into,412.1.1.1,22.1.1] a(a(a(a(s,s),A),a(a(s,k),B)),a(k,C))=C.
% 3.12/3.33  46 [para_from,22.1.1,4.1.1.1] a(a(a(a(s,s),A),B),C)=a(a(B,C),a(a(A,B),C)).
% 3.12/3.33  430 [para_into,414.1.1.1.1.2,22.1.1] a(a(a(s,a(a(a(s,s),A),k)),B),$c3)=a($c3,C).
% 3.12/3.33  432 [para_into,414.1.1.1,22.1.1] a(a(a(a(s,s),A),a(a(s,k),B)),$c3)=a($c3,C).
% 3.12/3.33  434 [copy,430,flip.1] a($c3,A)=a(a(a(s,a(a(a(s,s),B),k)),C),$c3).
% 3.12/3.33  436 [copy,432,flip.1] a($c3,A)=a(a(a(a(s,s),B),a(a(s,k),C)),$c3).
% 3.12/3.33  47 [copy,46,flip.1] a(a(A,B),a(a(C,A),B))=a(a(a(a(s,s),C),A),B).
% 3.12/3.33  439 [para_into,427.1.1.1.1.2.2,22.1.1] a(a(a(s,a(s,a(a(a(s,s),A),k))),k),B)=B.
% 3.12/3.33  441 [para_into,56.1.1.1,22.1.1] a(a(a(a(s,s),a(s,k)),A),B)=a(a(A,B),B).
% 3.12/3.33  442 [copy,441,flip.1] a(a(A,B),B)=a(a(a(a(s,s),a(s,k)),A),B).
% 3.12/3.33  447 [para_from,90.1.1,36.1.1.1] a(a(a(a(s,a(s,a(s,k))),A),a(s,k)),B)=B.
% 3.12/3.33  52 [back_demod,24,demod,49] a(a(a(A,a(a(a(s,B),k),a(a($c3,C),k))),a($c4,a(k,s))),a(a(a(a(a(a(a(a($c2,s),A),$c3),k),$c4),s),s),k))=a(a(a(a(a(a(a(a($c2,D),D),B),B),a(a(a(a(a(a(a(a($c2,$c1),$c3),s),k),s),$c2),C),k)),s),a(s,D)),a(a(a(a(a(s,A),k),B),k),k)).
% 3.12/3.33  449 [para_from,90.1.1,2.1.1.1] a(a(a(a(s,a(s,a(s,k))),A),k),B)=a(A,k).
% 3.12/3.33  453 [para_into,444.1.1.1,22.1.1] a(a(a(a(s,s),A),a(s,a(s,k))),a(k,B))=B.
% 3.12/3.33  458 [para_into,446.1.1.1,22.1.1] a(a(a(a(s,s),A),a(s,a(s,k))),$c3)=a($c3,B).
% 3.12/3.33  460 [copy,458,flip.1] a($c3,A)=a(a(a(a(s,s),B),a(s,a(s,k))),$c3).
% 3.12/3.33  53 [back_demod,14,demod,49] a(a(a(a(a(a(a(a($c2,A),A),B),B),a(a(a(a(a(a(a(a($c2,$c1),$c3),s),k),s),$c2),C),k)),s),a(s,A)),a(a(a(a(a(s,D),k),B),k),k))=a(a(a(D,a(a(a(s,B),k),a(a($c3,C),k))),a($c4,a(k,s))),a(a(a(a(a(a(a(a($c2,s),D),$c3),k),$c4),s),s),k)).
% 3.12/3.33  461 [para_into,35.1.1,374.1.1] a(a($c3,A),B)=a(a(a(s,a(s,a(s,$c3))),k),B).
% 3.12/3.33  462 [copy,461,flip.1] a(a(a(s,a(s,a(s,$c3))),k),A)=a(a($c3,B),A).
% 3.12/3.33  463 [para_from,35.1.1,195.1.1.1] a(a(a(a(s,a(s,a(s,a(s,s)))),k),k),A)=A.
% 3.12/3.33  465 [para_from,35.1.1,446.1.1.1] a(a(a(a(s,a(s,s)),s),a(s,k)),$c3)=a($c3,A).
% 3.12/3.33  58 [para_into,6.1.1.1.1.1.1,22.1.1] a(a(a(a(a(a(a(s,a($c1,A)),B),A),a(B,A)),a(a(B,A),a(B,A))),a(k,A)),k)=a(s,a(a(a(s,a(a(a($c2,$c1),a(a(C,s),s)),a(s,k))),a(a(C,a(s,s)),$c1)),s)).
% 3.12/3.33  466 [para_from,35.1.1,444.1.1.1] a(a(a(a(s,a(s,s)),s),a(s,k)),a(k,A))=A.
% 3.12/3.33  468 [para_from,35.1.1,89.1.1.1,demod,37] a(a(a(a(s,a(s,s)),s),a(s,k)),A)=a(A,A).
% 3.12/3.33  469 [para_from,35.1.1,414.1.1.1] a(a(a(a(s,a(s,s)),a(s,k)),A),$c3)=a($c3,B).
% 3.12/3.33  470 [para_from,35.1.1,412.1.1.1] a(a(a(a(s,a(s,s)),a(s,k)),A),a(k,B))=B.
% 3.12/3.33  59 [para_into,6.1.1.1.1.2,36.1.1] a(a(a(a(a(a(a($c1,A),A),a(a(s,k),B)),a(a(s,k),B)),a(a(s,k),B)),a(k,A)),k)=a(s,a(a(a(s,a(a(a($c2,$c1),a(a(C,s),s)),a(s,k))),a(a(C,a(s,s)),$c1)),s)).
% 3.12/3.33  474 [copy,465,flip.1] a($c3,A)=a(a(a(a(s,a(s,s)),s),a(s,k)),$c3).
% 3.12/3.33  475 [copy,468,flip.1] a(A,A)=a(a(a(a(s,a(s,s)),s),a(s,k)),A).
% 3.12/3.33  476 [copy,469,flip.1] a($c3,A)=a(a(a(a(s,a(s,s)),a(s,k)),B),$c3).
% 3.12/3.33  479 [para_into,472.1.1,28.1.1] a(a(a(s,a(a(s,s),k)),A),a(s,k))=a(s,k).
% 3.12/3.33  60 [para_into,6.1.1.1.1.2,22.1.1] a(a(a(a(a(a(a($c1,A),A),a(B,C)),a(B,C)),a(a(a(s,B),B),C)),a(k,A)),k)=a(s,a(a(a(s,a(a(a($c2,$c1),a(a(D,s),s)),a(s,k))),a(a(D,a(s,s)),$c1)),s)).
% 3.12/3.33  481 [para_into,472.1.1,22.1.1] a(a(a(s,a(a(s,a(s,s)),s)),A),k)=a(s,k).
% 3.12/3.33  483 [para_into,361.1.1.1.1,22.1.1] a(a(a(a(a(s,s),a(s,k)),a(s,s)),k),A)=A.
% 3.12/3.33  485 [para_into,373.1.1.1,22.1.1] a(a(a(a(s,s),a(s,k)),$c3),A)=a(a($c3,B),A).
% 3.12/3.33  486 [copy,485,flip.1] a(a($c3,A),B)=a(a(a(a(s,s),a(s,k)),$c3),B).
% 3.12/3.33  61 [para_into,6.1.1.1.1.2,4.1.1] a(a(a(a(a(a(a($c1,A),A),a(a(s,B),C)),a(a(s,B),C)),a(a(B,a(a(s,B),C)),a(C,a(a(s,B),C)))),a(k,A)),k)=a(s,a(a(a(s,a(a(a($c2,$c1),a(a(D,s),s)),a(s,k))),a(a(D,a(s,s)),$c1)),s)).
% 3.12/3.33  487 [para_into,415.1.1.1,22.1.1] a(a(a(a(s,a(s,a(a(s,k),A))),s),k),B)=B.
% 3.12/3.33  489 [para_into,425.1.1,29.1.1] a(a(a(s,a(a(s,a(s,s)),a(s,k))),k),A)=A.
% 3.12/3.33  491 [para_into,447.1.1.1,22.1.1] a(a(a(a(s,a(s,a(s,a(s,k)))),s),k),A)=A.
% 3.12/3.33  493 [para_into,449.1.1.1.1,35.1.1,demod,37] a(a(a(a(a(s,a(s,s)),s),a(s,k)),k),A)=k.
% 3.12/3.33  62 [para_into,6.1.1.1.1.2,2.1.1] a(a(a(a(a(a(a($c1,A),A),a(k,B)),a(k,B)),B),a(k,A)),k)=a(s,a(a(a(s,a(a(a($c2,$c1),a(a(C,s),s)),a(s,k))),a(a(C,a(s,s)),$c1)),s)).
% 3.12/3.33  495 [para_into,479.1.1,22.1.1] a(a(a(s,a(s,a(a(s,s),k))),s),k)=a(s,k).
% 3.12/3.33  81 [para_from,48.1.1,22.1.1.2] a(a(A,B),B)=a(a(a(s,A),a(a(a(s,s),C),k)),B).
% 3.12/3.33  82 [para_from,48.1.1,22.1.1.1] a(A,a(B,A))=a(a(a(s,a(a(a(s,s),C),k)),B),A).
% 3.12/3.33  84 [copy,81,flip.1] a(a(a(s,A),a(a(a(s,s),B),k)),C)=a(a(A,C),C).
% 3.12/3.33  63 [para_into,6.1.1.1.1,22.1.1] a(a(a(a(a(s,a(a(a($c1,A),A),B)),B),B),a(k,A)),k)=a(s,a(a(a(s,a(a(a($c2,$c1),a(a(C,s),s)),a(s,k))),a(a(C,a(s,s)),$c1)),s)).
% 3.12/3.33  85 [copy,82,flip.1] a(a(a(s,a(a(a(s,s),A),k)),B),C)=a(C,a(B,C)).
% 3.12/3.33  87 [para_into,50.1.1.1,22.1.1] a(a(a(a(s,s),A),a(s,k)),B)=a(a(A,a(s,k)),B).
% 3.12/3.33  109 [para_into,30.1.1,22.1.1] a(a(a(s,a(s,a(k,A))),B),C)=a(A,a(C,a(B,C))).
% 3.12/3.33  112 [copy,109,flip.1] a(A,a(B,a(C,B)))=a(a(a(s,a(s,a(k,A))),C),B).
% 3.12/3.33  64 [para_into,6.1.1.1,22.1.1] a(a(a(a(s,a(a(a(a($c1,a(A,A)),a(A,A)),A),A)),k),a(A,A)),k)=a(s,a(a(a(s,a(a(a($c2,$c1),a(a(B,s),s)),a(s,k))),a(a(B,a(s,s)),$c1)),s)).
% 3.12/3.33  500 [para_into,112.1.1,364.1.1] a($c3,A)=a(a(a(s,a(s,a(k,$c3))),B),C).
% 3.12/3.33  501 [para_into,112.1.1,2.1.1,flip.1] a(a(a(s,a(s,a(k,a(k,A)))),B),C)=A.
% 3.12/3.33  504 [copy,500,flip.1] a(a(a(s,a(s,a(k,$c3))),A),B)=a($c3,C).
% 3.12/3.33  497 [para_into,112.1.1.2,364.1.1] a(A,a($c3,B))=a(a(a(s,a(s,a(k,A))),C),$c3).
% 3.12/3.33  65 [para_into,6.1.1,6.1.1] a(s,a(a(a(s,a(a(a($c2,$c1),a(a(A,s),s)),a(s,k))),a(a(A,a(s,s)),$c1)),s))=a(s,a(a(a(s,a(a(a($c2,$c1),a(a(B,s),s)),a(s,k))),a(a(B,a(s,s)),$c1)),s)).
% 3.12/3.33  498 [para_into,112.1.1.2,2.1.1,flip.1] a(a(a(s,a(s,a(k,A))),B),a(k,C))=a(A,C).
% 3.12/3.33  503 [copy,497,flip.1] a(a(a(s,a(s,a(k,A))),B),$c3)=a(A,a($c3,C)).
% 3.12/3.33  505 [para_from,112.1.1,36.1.1.1] a(a(a(a(s,a(s,a(k,a(s,k)))),A),B),C)=C.
% 3.12/3.33  509 [para_into,501.1.1.1,35.1.1] a(a(a(a(s,a(s,s)),s),a(k,a(k,A))),B)=A.
% 3.12/3.33  66 [copy,58,flip.1] a(s,a(a(a(s,a(a(a($c2,$c1),a(a(A,s),s)),a(s,k))),a(a(A,a(s,s)),$c1)),s))=a(a(a(a(a(a(a(s,a($c1,B)),C),B),a(C,B)),a(a(C,B),a(C,B))),a(k,B)),k).
% 3.12/3.33  511 [para_into,501.1.1.1,22.1.1] a(a(a(a(s,s),A),a(s,a(k,a(k,B)))),C)=B.
% 3.12/3.33  515 [para_into,501.1.1,22.1.1] a(a(a(s,a(s,a(s,a(k,a(k,A))))),B),C)=A.
% 3.12/3.33  518 [para_into,504.1.1.1,35.1.1] a(a(a(a(s,a(s,s)),s),a(k,$c3)),A)=a($c3,B).
% 3.12/3.33  519 [para_into,504.1.1.1,22.1.1] a(a(a(a(s,s),A),a(s,a(k,$c3))),B)=a($c3,C).
% 3.12/3.33  67 [copy,59,flip.1] a(s,a(a(a(s,a(a(a($c2,$c1),a(a(A,s),s)),a(s,k))),a(a(A,a(s,s)),$c1)),s))=a(a(a(a(a(a(a($c1,B),B),a(a(s,k),C)),a(a(s,k),C)),a(a(s,k),C)),a(k,B)),k).
% 3.12/3.33  521 [para_into,504.1.1,22.1.1] a(a(a(s,a(s,a(s,a(k,$c3)))),A),B)=a($c3,C).
% 3.12/3.33  523 [copy,518,flip.1] a($c3,A)=a(a(a(a(s,a(s,s)),s),a(k,$c3)),B).
% 3.12/3.33  524 [copy,519,flip.1] a($c3,A)=a(a(a(a(s,s),B),a(s,a(k,$c3))),C).
% 3.12/3.33  526 [copy,521,flip.1] a($c3,A)=a(a(a(s,a(s,a(s,a(k,$c3)))),B),C).
% 3.12/3.33  68 [copy,60,flip.1] a(s,a(a(a(s,a(a(a($c2,$c1),a(a(A,s),s)),a(s,k))),a(a(A,a(s,s)),$c1)),s))=a(a(a(a(a(a(a($c1,B),B),a(C,D)),a(C,D)),a(a(a(s,C),C),D)),a(k,B)),k).
% 3.12/3.33  527 [para_from,497.1.1,2.1.1.1] a(a(a(a(s,a(s,a(k,k))),A),$c3),B)=a($c3,C).
% 3.12/3.33  528 [copy,527,flip.1] a($c3,A)=a(a(a(a(s,a(s,a(k,k))),B),$c3),C).
% 3.12/3.33  529 [para_into,498.1.1,22.1.1] a(a(a(s,a(s,a(s,a(k,A)))),k),B)=a(A,B).
% 3.12/3.33  163 [para_into,34.1.1.1,48.1.1] a(A,B)=a(a(a(s,a(a(a(s,s),C),k)),a(k,B)),A).
% 3.12/3.33  69 [copy,61,flip.1] a(s,a(a(a(s,a(a(a($c2,$c1),a(a(A,s),s)),a(s,k))),a(a(A,a(s,s)),$c1)),s))=a(a(a(a(a(a(a($c1,B),B),a(a(s,C),D)),a(a(s,C),D)),a(a(C,a(a(s,C),D)),a(D,a(a(s,C),D)))),a(k,B)),k).
% 3.12/3.33  171 [para_into,34.1.1,30.1.1] a(A,a(B,C))=a(a(a(s,a(s,a(k,A))),a(k,C)),B).
% 3.12/3.33  172 [para_into,34.1.1,22.1.1,flip.1] a(a(a(s,A),a(k,a(B,C))),C)=a(a(a(s,A),B),C).
% 3.12/3.33  177 [para_into,34.1.1,4.1.1] a(a(A,B),a(C,B))=a(a(a(s,a(s,A)),a(k,B)),C).
% 3.12/3.33  180 [copy,163,flip.1] a(a(a(s,a(a(a(s,s),A),k)),a(k,B)),C)=a(C,B).
% 3.12/3.33  70 [copy,62,flip.1] a(s,a(a(a(s,a(a(a($c2,$c1),a(a(A,s),s)),a(s,k))),a(a(A,a(s,s)),$c1)),s))=a(a(a(a(a(a(a($c1,B),B),a(k,C)),a(k,C)),C),a(k,B)),k).
% 3.12/3.33  188 [copy,171,flip.1] a(a(a(s,a(s,a(k,A))),a(k,B)),C)=a(A,a(C,B)).
% 3.12/3.33  190 [copy,177,flip.1] a(a(a(s,a(s,A)),a(k,B)),C)=a(a(A,B),a(C,B)).
% 3.12/3.33  219 [para_from,34.1.1,4.1.1.1] a(a(a(a(s,s),a(k,A)),B),C)=a(a(B,C),a(A,C)).
% 3.12/3.33  226 [copy,219,flip.1] a(a(A,B),a(C,B))=a(a(a(a(s,s),a(k,C)),A),B).
% 3.12/3.33  71 [copy,63,flip.1] a(s,a(a(a(s,a(a(a($c2,$c1),a(a(A,s),s)),a(s,k))),a(a(A,a(s,s)),$c1)),s))=a(a(a(a(a(s,a(a(a($c1,B),B),C)),C),C),a(k,B)),k).
% 3.12/3.33  227 [para_into,42.1.1.1,34.1.1] a(a(a(a(s,s),a(k,a(k,A))),B),C)=a(a(B,C),A).
% 3.12/3.33  229 [para_into,42.1.1,34.1.1] a(a(a(s,a(s,A)),a(k,B)),a(k,C))=a(a(A,B),C).
% 3.12/3.33  232 [copy,227,flip.1] a(a(A,B),C)=a(a(a(a(s,s),a(k,a(k,C))),A),B).
% 3.12/3.33  251 [para_into,79.1.1,34.1.1] a(a(a(s,a(s,a(a(s,s),A))),a(k,k)),B)=a(B,k).
% 3.12/3.33  72 [copy,64,flip.1] a(s,a(a(a(s,a(a(a($c2,$c1),a(a(A,s),s)),a(s,k))),a(a(A,a(s,s)),$c1)),s))=a(a(a(a(s,a(a(a(a($c1,a(B,B)),a(B,B)),B),B)),k),a(B,B)),k).
% 3.12/3.33  252 [copy,251,flip.1] a(A,k)=a(a(a(s,a(s,a(a(s,s),B))),a(k,k)),A).
% 3.12/3.33  265 [para_into,97.1.1.1.1.1,34.1.1] a(a(a(a(a(a(s,a(s,s)),a(k,s)),A),s),k),B)=B.
% 3.12/3.33  267 [para_into,97.1.1.1.1,34.1.1] a(a(a(a(a(s,a(a(s,s),A)),a(k,s)),s),k),B)=B.
% 3.12/3.33  269 [para_into,97.1.1.1,34.1.1] a(a(a(a(s,a(a(a(s,s),A),s)),a(k,k)),s),B)=B.
% 3.12/3.33  73 [para_from,6.1.1,22.1.1.2] a(a(A,k),a(s,a(a(a(s,a(a(a($c2,$c1),a(a(B,s),s)),a(s,k))),a(a(B,a(s,s)),$c1)),s)))=a(a(a(s,A),a(a(a(a(a(a($c1,C),C),D),D),a(D,D)),a(k,C))),k).
% 3.12/3.33  273 [para_into,97.1.1,22.1.1] a(a(a(s,a(a(a(a(s,s),A),s),s)),B),k)=a(B,k).
% 3.12/3.33  91 [para_from,50.1.1,22.1.1.2] a(a(A,B),a(C,B))=a(a(a(s,A),a(a(s,a(s,k)),C)),B).
% 3.12/3.33  92 [para_from,50.1.1,22.1.1.1] a(a(A,B),a(C,B))=a(a(a(s,a(a(s,a(s,k)),A)),C),B).
% 3.12/3.33  531 [para_into,92.1.1,2.1.1,flip.1] a(a(a(s,a(a(s,a(s,k)),k)),A),B)=B.
% 3.12/3.33  74 [para_from,6.1.1,22.1.1.1] a(a(s,a(a(a(s,a(a(a($c2,$c1),a(a(A,s),s)),a(s,k))),a(a(A,a(s,s)),$c1)),s)),a(B,k))=a(a(a(s,a(a(a(a(a(a($c1,C),C),D),D),a(D,D)),a(k,C))),B),k).
% 3.12/3.33  533 [para_from,92.1.1,36.1.1.1] a(a(a(a(s,a(a(s,a(s,k)),s)),A),k),B)=B.
% 3.12/3.33  537 [para_into,531.1.1.1,35.1.1] a(a(a(a(s,a(s,s)),a(s,a(s,k))),k),A)=A.
% 3.12/3.33  539 [para_into,531.1.1.1,22.1.1] a(a(a(a(s,s),A),a(a(s,a(s,k)),k)),B)=B.
% 3.12/3.33  94 [copy,91,flip.1] a(a(a(s,A),a(a(s,a(s,k)),B)),C)=a(a(A,C),a(B,C)).
% 3.12/3.33  75 [copy,73,flip.1] a(a(a(s,A),a(a(a(a(a(a($c1,B),B),C),C),a(C,C)),a(k,B))),k)=a(a(A,k),a(s,a(a(a(s,a(a(a($c2,$c1),a(a(D,s),s)),a(s,k))),a(a(D,a(s,s)),$c1)),s))).
% 3.12/3.33  95 [copy,92,flip.1] a(a(a(s,a(a(s,a(s,k)),A)),B),C)=a(a(A,C),a(B,C)).
% 3.12/3.33  101 [para_from,77.1.1,22.1.1.2] a(a(A,B),B)=a(a(a(s,A),a(a(a(a(s,s),C),s),k)),B).
% 3.12/3.33  102 [para_from,77.1.1,22.1.1.1] a(A,a(B,A))=a(a(a(s,a(a(a(a(s,s),C),s),k)),B),A).
% 3.12/3.33  104 [copy,101,flip.1] a(a(a(s,A),a(a(a(a(s,s),B),s),k)),C)=a(a(A,C),C).
% 3.12/3.33  76 [copy,74,flip.1] a(a(a(s,a(a(a(a(a(a($c1,A),A),B),B),a(B,B)),a(k,A))),C),k)=a(a(s,a(a(a(s,a(a(a($c2,$c1),a(a(D,s),s)),a(s,k))),a(a(D,a(s,s)),$c1)),s)),a(C,k)).
% 3.12/3.33  105 [copy,102,flip.1] a(a(a(s,a(a(a(a(s,s),A),s),k)),B),C)=a(C,a(B,C)).
% 3.12/3.33  107 [para_into,30.1.1.1,22.1.1] a(a(a(a(s,s),A),a(k,B)),C)=a(B,a(a(A,a(k,B)),C)).
% 3.12/3.33  161 [para_into,34.1.1.1,77.1.1] a(A,B)=a(a(a(s,a(a(a(a(s,s),C),s),k)),a(k,B)),A).
% 3.12/3.33  162 [para_into,34.1.1.1,50.1.1] a(a(A,B),C)=a(a(a(s,a(a(s,a(s,k)),A)),a(k,C)),B).
% 3.12/3.33  83 [para_from,48.1.1,6.1.1.1.1.2] a(a(a(a(a(a(a($c1,A),A),a(a(a(s,s),B),k)),a(a(a(s,s),B),k)),a(a(a(s,s),B),k)),a(k,A)),k)=a(s,a(a(a(s,a(a(a($c2,$c1),a(a(C,s),s)),a(s,k))),a(a(C,a(s,s)),$c1)),s)).
% 3.12/3.33  178 [copy,161,flip.1] a(a(a(s,a(a(a(a(s,s),A),s),k)),a(k,B)),C)=a(C,B).
% 3.12/3.33  179 [copy,162,flip.1] a(a(a(s,a(a(s,a(s,k)),A)),a(k,B)),C)=a(a(A,C),B).
% 3.12/3.33  231 [para_into,42.1.1,22.1.1] a(a(a(s,a(s,A)),B),a(k,C))=a(a(A,a(B,a(k,C))),C).
% 3.12/3.33  234 [copy,231,flip.1] a(a(A,a(B,a(k,C))),C)=a(a(a(s,a(s,A)),B),a(k,C)).
% 3.12/3.33  86 [copy,83,flip.1] a(s,a(a(a(s,a(a(a($c2,$c1),a(a(A,s),s)),a(s,k))),a(a(A,a(s,s)),$c1)),s))=a(a(a(a(a(a(a($c1,B),B),a(a(a(s,s),C),k)),a(a(a(s,s),C),k)),a(a(a(s,s),C),k)),a(k,B)),k).
% 3.12/3.33  543 [para_from,234.1.1,30.1.1.1,demod,3] a(a(a(a(s,a(s,s)),k),a(k,A)),B)=A.
% 3.12/3.33  547 [para_into,543.1.1.1,22.1.1] a(a(a(a(s,a(s,a(s,s))),k),k),A)=k.
% 3.12/3.33  541 [para_into,234.1.1,107.1.1,demod,3,flip.1] a(a(a(s,a(s,a(a(s,s),A))),k),a(k,B))=B.
% 3.12/3.33  545 [para_into,543.1.1.1,38.1.1] a(a(a(a(a(s,s),k),s),a(k,a(k,s))),A)=s.
% 3.12/3.33  93 [para_from,50.1.1,6.1.1.1.1.2] a(a(a(a(a(a(a($c1,A),A),a(a(s,a(s,k)),B)),a(a(s,a(s,k)),B)),a(B,a(a(s,a(s,k)),B))),a(k,A)),k)=a(s,a(a(a(s,a(a(a($c2,$c1),a(a(C,s),s)),a(s,k))),a(a(C,a(s,s)),$c1)),s)).
% 3.12/3.33  551 [para_into,543.1.1,35.1.1] a(a(a(s,a(s,a(a(s,a(s,s)),k))),k),A)=A.
% 3.12/3.33  553 [para_into,543.1.1,29.1.1] a(a(a(s,a(a(s,a(s,a(s,s))),k)),A),k)=k.
% 3.12/3.33  555 [para_into,543.1.1,22.1.1] a(a(a(s,a(a(s,a(s,s)),k)),A),a(k,B))=B.
% 3.12/3.33  557 [para_into,541.1.1,22.1.1] a(a(a(s,a(s,a(s,a(a(s,s),A)))),k),k)=k.
% 3.12/3.33  96 [copy,93,flip.1] a(s,a(a(a(s,a(a(a($c2,$c1),a(a(A,s),s)),a(s,k))),a(a(A,a(s,s)),$c1)),s))=a(a(a(a(a(a(a($c1,B),B),a(a(s,a(s,k)),C)),a(a(s,a(s,k)),C)),a(C,a(a(s,a(s,k)),C))),a(k,B)),k).
% 3.12/3.33  113 [para_from,30.1.1,22.1.1.2] a(a(A,B),a(C,a(D,B)))=a(a(a(s,A),a(a(s,a(k,C)),D)),B).
% 3.12/3.33  114 [para_from,30.1.1,22.1.1.1] a(a(A,a(B,C)),a(D,C))=a(a(a(s,a(a(s,a(k,A)),B)),D),C).
% 3.12/3.33  559 [para_into,114.1.1,2.1.1,flip.1] a(a(a(s,a(a(s,a(k,k)),A)),B),C)=a(A,C).
% 3.12/3.33  116 [copy,113,flip.1] a(a(a(s,A),a(a(s,a(k,B)),C)),D)=a(a(A,D),a(B,a(C,D))).
% 3.12/3.33  103 [para_from,77.1.1,6.1.1.1.1.2] a(a(a(a(a(a(a($c1,A),A),a(a(a(a(s,s),B),s),k)),a(a(a(a(s,s),B),s),k)),a(a(a(a(s,s),B),s),k)),a(k,A)),k)=a(s,a(a(a(s,a(a(a($c2,$c1),a(a(C,s),s)),a(s,k))),a(a(C,a(s,s)),$c1)),s)).
% 3.12/3.33  117 [copy,114,flip.1] a(a(a(s,a(a(s,a(k,A)),B)),C),D)=a(a(A,a(B,D)),a(C,D)).
% 3.12/3.33  165 [para_into,34.1.1.1,34.1.1] a(a(a(a(s,A),a(k,B)),C),D)=a(a(a(s,a(A,C)),a(k,D)),B).
% 3.12/3.33  166 [para_into,34.1.1.1,30.1.1] a(a(A,a(B,C)),D)=a(a(a(s,a(a(s,a(k,A)),B)),a(k,D)),C).
% 3.12/3.33  167 [para_into,34.1.1.1,22.1.1] a(a(a(a(s,A),B),C),D)=a(a(a(s,a(A,C)),a(k,D)),a(B,C)).
% 3.12/3.33  106 [copy,103,flip.1] a(s,a(a(a(s,a(a(a($c2,$c1),a(a(A,s),s)),a(s,k))),a(a(A,a(s,s)),$c1)),s))=a(a(a(a(a(a(a($c1,B),B),a(a(a(a(s,s),C),s),k)),a(a(a(a(s,s),C),s),k)),a(a(a(a(s,s),C),s),k)),a(k,B)),k).
% 3.12/3.33  169 [para_into,34.1.1.1,4.1.1] a(a(a(A,B),a(C,B)),D)=a(a(a(s,a(a(s,A),C)),a(k,D)),B).
% 3.12/3.33  182 [copy,165,flip.1] a(a(a(s,a(A,B)),a(k,C)),D)=a(a(a(a(s,A),a(k,D)),B),C).
% 3.12/3.33  183 [copy,166,flip.1] a(a(a(s,a(a(s,a(k,A)),B)),a(k,C)),D)=a(a(A,a(B,D)),C).
% 3.12/3.33  184 [copy,167,flip.1] a(a(a(s,a(A,B)),a(k,C)),a(D,B))=a(a(a(a(s,A),D),B),C).
% 3.12/3.33  110 [back_demod,25,demod,108] a(a(a(A,a(a(s,a($c3,s)),$c2)),a(a($c3,B),s)),s)=a(a(a(a(a(a(a(a(a($c3,B),C),B),B),a(k,a(a($c1,a(k,k)),B))),$c1),$c3),a(a(C,A),k)),a(a(C,s),k)).
% 3.12/3.33  186 [copy,169,flip.1] a(a(a(s,a(a(s,A),B)),a(k,C)),D)=a(a(a(A,D),a(B,D)),C).
% 3.12/3.33  197 [para_from,34.1.1,22.1.1.2] a(a(A,B),a(a(a(s,C),a(k,B)),D))=a(a(a(s,A),a(C,D)),B).
% 3.12/3.33  198 [para_from,34.1.1,22.1.1.1] a(a(a(a(s,A),a(k,B)),C),a(D,B))=a(a(a(s,a(A,C)),D),B).
% 3.12/3.33  220 [copy,197,flip.1] a(a(a(s,A),a(B,C)),D)=a(a(A,D),a(a(a(s,B),a(k,D)),C)).
% 3.12/3.33  111 [back_demod,16,demod,108] a(a(a(a(a(a(a(a(a($c3,A),B),A),A),a(k,a(a($c1,a(k,k)),A))),$c1),$c3),a(a(B,C),k)),a(a(B,s),k))=a(a(a(C,a(a(s,a($c3,s)),$c2)),a(a($c3,A),s)),s).
% 3.12/3.33  221 [copy,198,flip.1] a(a(a(s,a(A,B)),C),D)=a(a(a(a(s,A),a(k,D)),B),a(C,D)).
% 3.12/3.33  235 [para_from,42.1.1,22.1.1.2] a(a(A,B),a(a(C,B),D))=a(a(a(s,A),a(a(s,C),a(k,D))),B).
% 3.12/3.33  236 [para_from,42.1.1,34.1.1.1] a(a(a(A,B),C),D)=a(a(a(s,a(a(s,A),a(k,C))),a(k,D)),B).
% 3.12/3.33  237 [para_from,42.1.1,22.1.1.1] a(a(a(A,B),C),a(D,B))=a(a(a(s,a(a(s,A),a(k,C))),D),B).
% 3.12/3.33  115 [para_from,30.1.1,6.1.1.1.1.2] a(a(a(a(a(a(a($c1,A),A),a(a(s,a(k,B)),C)),a(a(s,a(k,B)),C)),a(B,a(C,a(a(s,a(k,B)),C)))),a(k,A)),k)=a(s,a(a(a(s,a(a(a($c2,$c1),a(a(D,s),s)),a(s,k))),a(a(D,a(s,s)),$c1)),s)).
% 3.12/3.33  243 [copy,235,flip.1] a(a(a(s,A),a(a(s,B),a(k,C))),D)=a(a(A,D),a(a(B,D),C)).
% 3.12/3.33  244 [copy,236,flip.1] a(a(a(s,a(a(s,A),a(k,B))),a(k,C)),D)=a(a(a(A,D),B),C).
% 3.12/3.33  245 [copy,237,flip.1] a(a(a(s,a(a(s,A),a(k,B))),C),D)=a(a(a(A,D),B),a(C,D)).
% 3.12/3.33  249 [para_into,79.1.1.1,22.1.1] a(a(a(a(s,s),A),a(a(s,s),B)),k)=a(a(A,a(a(s,s),B)),k).
% 3.12/3.33  118 [copy,115,flip.1] a(s,a(a(a(s,a(a(a($c2,$c1),a(a(A,s),s)),a(s,k))),a(a(A,a(s,s)),$c1)),s))=a(a(a(a(a(a(a($c1,B),B),a(a(s,a(k,C)),D)),a(a(s,a(k,C)),D)),a(C,a(D,a(a(s,a(k,C)),D)))),a(k,B)),k).
% 3.12/3.33  253 [para_from,79.1.1,22.1.1.2,flip.1] a(a(a(s,A),a(a(s,a(a(s,s),B)),C)),k)=a(a(A,k),a(C,k)).
% 3.12/3.33  257 [para_from,79.1.1,22.1.1.1,flip.1] a(a(a(s,a(a(s,a(a(s,s),A)),B)),C),k)=a(a(B,k),a(C,k)).
% 3.12/3.33  275 [para_from,97.1.1,22.1.1.2] a(a(A,B),B)=a(a(a(s,A),a(a(a(a(a(s,s),C),s),s),k)),B).
% 3.12/3.33  276 [para_from,97.1.1,34.1.1.1] a(A,B)=a(a(a(s,a(a(a(a(a(s,s),C),s),s),k)),a(k,B)),A).
% 3.12/3.33  119 [para_into,8.1.1.1.1.1.1.1,22.1.1] a(a(a(a(a(a(a(a(s,$c1),A),B),C),B),a(k,a(a(D,D),a(a(a($c4,$c2),B),B)))),a(k,a($c3,$c2))),a(a(D,a(s,s)),k))=a(k,a(a(s,a(a(a($c2,a(A,B)),$c4),s)),a($c1,k))).
% 3.12/3.33  277 [para_from,97.1.1,22.1.1.1] a(A,a(B,A))=a(a(a(s,a(a(a(a(a(s,s),C),s),s),k)),B),A).
% 3.12/3.33  279 [copy,275,flip.1] a(a(a(s,A),a(a(a(a(a(s,s),B),s),s),k)),C)=a(a(A,C),C).
% 3.12/3.33  280 [copy,276,flip.1] a(a(a(s,a(a(a(a(a(s,s),A),s),s),k)),a(k,B)),C)=a(C,B).
% 3.12/3.33  281 [copy,277,flip.1] a(a(a(s,a(a(a(a(a(s,s),A),s),s),k)),B),C)=a(C,a(B,C)).
% 3.12/3.33  121 [para_into,8.1.1.1.1.1.1,22.1.1] a(a(a(a(a(a(a(s,a($c1,A)),B),C),A),a(k,a(a(D,D),a(a(a($c4,$c2),A),A)))),a(k,a($c3,$c2))),a(a(D,a(s,s)),k))=a(k,a(a(s,a(a(a($c2,C),$c4),s)),a($c1,k))).
% 3.12/3.33  149 [para_into,8.1.1.1.1.2.2,2.1.1,demod,3] a(a(a(a(a(a(a($c1,A),B),C),A),a(k,k)),a(k,a($c3,$c2))),a(s,s))=a(k,a(a(s,a(a(a($c2,B),$c4),s)),a($c1,k))).
% 3.12/3.33  141 [para_into,8.1.1.1.1.2.2,36.1.1,demod,37] a(a(a(a(a(a(a($c1,A),B),C),A),a(k,a(a(a($c4,$c2),A),A))),a(k,a($c3,$c2))),k)=a(k,a(a(s,a(a(a($c2,B),$c4),s)),a($c1,k))).
% 3.12/3.33  125 [para_into,8.1.1.1.1.2.2.1,77.1.1,demod,78,78] a(a(a(a(a(a(a($c1,A),B),C),A),a(k,a(a(a($c4,$c2),A),A))),a(k,a($c3,$c2))),a(a(s,s),k))=a(k,a(a(s,a(a(a($c2,B),$c4),s)),a($c1,k))).
% 3.12/3.33  135 [para_into,8.1.1.1.1.2.2.1,2.1.1,demod,3] a(a(a(a(a(a(a($c1,A),B),C),A),a(k,a(D,a(a(a($c4,$c2),A),A)))),a(k,a($c3,$c2))),a(D,k))=a(k,a(a(s,a(a(a($c2,B),$c4),s)),a($c1,k))).
% 3.12/3.33  123 [para_into,8.1.1.1.1.1,22.1.1] a(a(a(a(a(a(s,a(a($c1,a(A,B)),C)),A),B),a(k,a(a(D,D),a(a(a($c4,$c2),a(A,B)),a(A,B))))),a(k,a($c3,$c2))),a(a(D,a(s,s)),k))=a(k,a(a(s,a(a(a($c2,C),$c4),s)),a($c1,k))).
% 3.12/3.33  309 [para_into,17.1.1.1.1.1.1.2.2.1,2.1.1,demod,3] a(a(a(a(a(a(a(a(a($c3,A),B),A),B),a($c4,a(C,a(s,D)))),a($c3,D)),C),a(a($c1,k),B)),s)=a(k,a(a(a(a(a(s,s),s),s),s),a(k,s))).
% 3.12/3.33  313 [para_into,17.1.1.1.1.1.1.2.2,36.1.1] a(a(a(a(a(a(a(a(a($c3,A),B),A),B),a($c4,a(s,C))),a($c3,C)),a(a(s,k),s)),a(a($c1,k),B)),s)=a(k,a(a(a(a(a(s,s),s),s),s),a(k,s))).
% 3.12/3.33  323 [para_into,17.1.1.1.1.1.1.2.2,2.1.1] a(a(a(a(a(a(a(a(a($c3,A),B),A),B),a($c4,a(a(s,A),$c3))),a($c3,C)),a(k,s)),a(a($c1,k),B)),s)=a(k,a(a(a(a(a(s,s),s),s),s),a(k,s))).
% 3.12/3.33  176 [para_into,34.1.1,6.1.1] a(s,a(a(a(s,a(a(a($c2,$c1),a(a(A,s),s)),a(s,k))),a(a(A,a(s,s)),$c1)),s))=a(a(a(s,a(a(a(a(a($c1,B),B),C),C),a(C,C))),a(k,k)),a(k,B)).
% 3.12/3.33  127 [para_into,8.1.1.1.1.2.2.1,50.1.1,demod,51] a(a(a(a(a(a(a($c1,A),B),C),A),a(k,a(a(D,a(a(s,a(s,k)),D)),a(a(a($c4,$c2),A),A)))),a(k,a($c3,$c2))),a(a(D,a(s,s)),k))=a(k,a(a(s,a(a(a($c2,B),$c4),s)),a($c1,k))).
% 3.12/3.33  189 [copy,176,flip.1] a(a(a(s,a(a(a(a(a($c1,A),A),B),B),a(B,B))),a(k,k)),a(k,A))=a(s,a(a(a(s,a(a(a($c2,$c1),a(a(C,s),s)),a(s,k))),a(a(C,a(s,s)),$c1)),s)).
% 3.12/3.33  215 [para_from,34.1.1,6.1.1.1] a(a(a(a(s,a(a(a(a($c1,A),A),B),B)),a(k,a(k,A))),a(B,B)),k)=a(s,a(a(a(s,a(a(a($c2,$c1),a(a(C,s),s)),a(s,k))),a(a(C,a(s,s)),$c1)),s)).
% 3.12/3.33  216 [para_from,34.1.1,6.1.1.1.1.1] a(a(a(a(a(a(s,a(a($c1,A),A)),a(k,B)),B),a(B,B)),a(k,A)),k)=a(s,a(a(a(s,a(a(a($c2,$c1),a(a(C,s),s)),a(s,k))),a(a(C,a(s,s)),$c1)),s)).
% 3.12/3.33  217 [para_from,34.1.1,6.1.1.1.1.1.1] a(a(a(a(a(a(a(s,a($c1,A)),a(k,B)),A),B),a(B,B)),a(k,A)),k)=a(s,a(a(a(s,a(a(a($c2,$c1),a(a(C,s),s)),a(s,k))),a(a(C,a(s,s)),$c1)),s)).
% 3.12/3.33  129 [para_into,8.1.1.1.1.2.2.1,30.1.1,demod,31] a(a(a(a(a(a(a($c1,A),B),C),A),a(k,a(a(D,a(E,a(a(s,a(k,D)),E))),a(a(a($c4,$c2),A),A)))),a(k,a($c3,$c2))),a(a(D,a(E,a(s,s))),k))=a(k,a(a(s,a(a(a($c2,B),$c4),s)),a($c1,k))).
% 3.12/3.33  218 [para_from,34.1.1,6.1.1.1.1.1.1.1] a(a(a(a(a(a(a(a(s,$c1),a(k,A)),A),B),B),a(B,B)),a(k,A)),k)=a(s,a(a(a(s,a(a(a($c2,$c1),a(a(C,s),s)),a(s,k))),a(a(C,a(s,s)),$c1)),s)).
% 3.12/3.33  222 [copy,215,flip.1] a(s,a(a(a(s,a(a(a($c2,$c1),a(a(A,s),s)),a(s,k))),a(a(A,a(s,s)),$c1)),s))=a(a(a(a(s,a(a(a(a($c1,B),B),C),C)),a(k,a(k,B))),a(C,C)),k).
% 3.12/3.33  223 [copy,216,flip.1] a(s,a(a(a(s,a(a(a($c2,$c1),a(a(A,s),s)),a(s,k))),a(a(A,a(s,s)),$c1)),s))=a(a(a(a(a(a(s,a(a($c1,B),B)),a(k,C)),C),a(C,C)),a(k,B)),k).
% 3.12/3.33  224 [copy,217,flip.1] a(s,a(a(a(s,a(a(a($c2,$c1),a(a(A,s),s)),a(s,k))),a(a(A,a(s,s)),$c1)),s))=a(a(a(a(a(a(a(s,a($c1,B)),a(k,C)),B),C),a(C,C)),a(k,B)),k).
% 3.12/3.33  131 [para_into,8.1.1.1.1.2.2.1,22.1.1] a(a(a(a(a(a(a($c1,A),B),C),A),a(k,a(a(a(a(s,D),D),E),a(a(a($c4,$c2),A),A)))),a(k,a($c3,$c2))),a(a(a(D,E),a(s,s)),k))=a(k,a(a(s,a(a(a($c2,B),$c4),s)),a($c1,k))).
% 3.12/3.33  225 [copy,218,flip.1] a(s,a(a(a(s,a(a(a($c2,$c1),a(a(A,s),s)),a(s,k))),a(a(A,a(s,s)),$c1)),s))=a(a(a(a(a(a(a(a(s,$c1),a(k,B)),B),C),C),a(C,C)),a(k,B)),k).
% 3.12/3.33  297 [para_into,17.1.1.1.1.1.1.2.2.1,97.1.1,demod,98] a(a(a(a(a(a(a(a(a($c3,A),B),A),B),a($c4,a(a(a(s,A),$c3),a(s,C)))),a($c3,C)),s),a(a($c1,k),B)),s)=a(k,a(a(a(a(a(s,s),s),s),s),a(k,s))).
% 3.12/3.33  139 [para_into,8.1.1.1.1.2.2,50.1.1,demod,51] a(a(a(a(a(a(a($c1,A),B),C),A),a(k,a(a(s,a(s,k)),a(a(a($c4,$c2),A),A)))),a(k,a($c3,$c2))),a(a(s,s),k))=a(k,a(a(s,a(a(a($c2,B),$c4),s)),a($c1,k))).
% 3.12/3.33  145 [para_into,8.1.1.1.1.2.2,22.1.1] a(a(a(a(a(a(a($c1,A),B),C),A),a(k,a(a(a(s,A),a(a($c4,$c2),A)),A))),a(k,a($c3,$c2))),a(a(A,a(s,s)),k))=a(k,a(a(s,a(a(a($c2,B),$c4),s)),a($c1,k))).
% 3.12/3.33  133 [para_into,8.1.1.1.1.2.2.1,4.1.1] a(a(a(a(a(a(a($c1,A),B),C),A),a(k,a(a(a(D,a(a(s,D),E)),a(E,a(a(s,D),E))),a(a(a($c4,$c2),A),A)))),a(k,a($c3,$c2))),a(a(a(a(s,D),E),a(s,s)),k))=a(k,a(a(s,a(a(a($c2,B),$c4),s)),a($c1,k))).
% 3.12/3.33  159 [para_from,8.1.1,22.1.1.1,demod,3,flip.1] a(a(a(s,a(a(a(a(a(a($c1,A),B),C),A),a(k,a(a(D,D),a(a(a($c4,$c2),A),A)))),a(k,a($c3,$c2)))),E),a(a(D,a(s,s)),k))=a(a(s,a(a(a($c2,B),$c4),s)),a($c1,k)).
% 3.12/3.33  168 [para_into,34.1.1.1,6.1.1] a(a(s,a(a(a(s,a(a(a($c2,$c1),a(a(A,s),s)),a(s,k))),a(a(A,a(s,s)),$c1)),s)),B)=a(a(a(s,a(a(a(a(a(a($c1,C),C),D),D),a(D,D)),a(k,C))),a(k,B)),k).
% 3.12/3.33  185 [copy,168,flip.1] a(a(a(s,a(a(a(a(a(a($c1,A),A),B),B),a(B,B)),a(k,A))),a(k,C)),k)=a(a(s,a(a(a(s,a(a(a($c2,$c1),a(a(D,s),s)),a(s,k))),a(a(D,a(s,s)),$c1)),s)),C).
% 3.12/3.33  143 [para_into,8.1.1.1.1.2.2,30.1.1,demod,31] a(a(a(a(a(a(a($c1,A),B),C),A),a(k,a(D,a(a(s,a(k,D)),a(a(a($c4,$c2),A),A))))),a(k,a($c3,$c2))),a(D,a(a(s,s),k)))=a(k,a(a(s,a(a(a($c2,B),$c4),s)),a($c1,k))).
% 3.12/3.33  137 [para_into,8.1.1.1.1.2.2.2.1,22.1.1] a(a(a(a(a(a(a($c1,a(A,$c2)),B),C),a(A,$c2)),a(k,a(a(D,D),a(a(a(a(s,$c4),A),$c2),a(A,$c2))))),a(k,a($c3,$c2))),a(a(D,a(s,s)),k))=a(k,a(a(s,a(a(a($c2,B),$c4),s)),a($c1,k))).
% 3.12/3.33  174 [para_into,34.1.1,8.1.1,flip.1] a(a(a(s,a(a(a(a(a($c1,A),B),C),A),a(k,a(a(D,D),a(a(a($c4,$c2),A),A))))),a(k,a(a(D,a(s,s)),k))),a(k,a($c3,$c2)))=a(k,a(a(s,a(a(a($c2,B),$c4),s)),a($c1,k))).
% 3.12/3.33  199 [para_from,34.1.1,8.1.1.2] a(a(a(a(a(a(a($c1,A),B),C),A),a(k,a(a(D,D),a(a(a($c4,$c2),A),A)))),a(k,a($c3,$c2))),a(a(a(s,D),a(k,k)),a(s,s)))=a(k,a(a(s,a(a(a($c2,B),$c4),s)),a($c1,k))).
% 3.12/3.33  203 [para_from,34.1.1,8.1.1.1] a(a(a(a(s,a(a(a(a($c1,A),B),C),A)),a(k,a(k,a($c3,$c2)))),a(k,a(a(D,D),a(a(a($c4,$c2),A),A)))),a(a(D,a(s,s)),k))=a(k,a(a(s,a(a(a($c2,B),$c4),s)),a($c1,k))).
% 3.12/3.33  205 [para_from,34.1.1,8.1.1.1.1] a(a(a(a(a(s,a(a(a($c1,A),B),C)),a(k,a(k,a(a(D,D),a(a(a($c4,$c2),A),A))))),A),a(k,a($c3,$c2))),a(a(D,a(s,s)),k))=a(k,a(a(s,a(a(a($c2,B),$c4),s)),a($c1,k))).
% 3.12/3.33  147 [para_into,8.1.1.1.1.2.2,4.1.1] a(a(a(a(a(a(a($c1,A),B),C),A),a(k,a(a(D,a(a(a($c4,$c2),A),A)),a(a(s,D),a(a(a($c4,$c2),A),A))))),a(k,a($c3,$c2))),a(a(a(s,D),a(s,s)),k))=a(k,a(a(s,a(a(a($c2,B),$c4),s)),a($c1,k))).
% 3.12/3.33  207 [para_from,34.1.1,8.1.1.1.1.2.2] a(a(a(a(a(a(a($c1,A),B),C),A),a(k,a(a(a(s,D),a(k,a(a(a($c4,$c2),A),A))),D))),a(k,a($c3,$c2))),a(a(D,a(s,s)),k))=a(k,a(a(s,a(a(a($c2,B),$c4),s)),a($c1,k))).
% 3.12/3.33  209 [para_from,34.1.1,8.1.1.1.1.2.2.2] a(a(a(a(a(a(a($c1,A),B),C),A),a(k,a(a(D,D),a(a(a(s,a($c4,$c2)),a(k,A)),A)))),a(k,a($c3,$c2))),a(a(D,a(s,s)),k))=a(k,a(a(s,a(a(a($c2,B),$c4),s)),a($c1,k))).
% 3.12/3.33  211 [para_from,34.1.1,8.1.1.1.1.2.2.2.1] a(a(a(a(a(a(a($c1,A),B),C),A),a(k,a(a(D,D),a(a(a(a(s,$c4),a(k,A)),$c2),A)))),a(k,a($c3,$c2))),a(a(D,a(s,s)),k))=a(k,a(a(s,a(a(a($c2,B),$c4),s)),a($c1,k))).
% 3.12/3.33  213 [para_from,34.1.1,8.1.1.1.1.1] a(a(a(a(a(a(s,a(a($c1,A),B)),a(k,A)),C),a(k,a(a(D,D),a(a(a($c4,$c2),A),A)))),a(k,a($c3,$c2))),a(a(D,a(s,s)),k))=a(k,a(a(s,a(a(a($c2,B),$c4),s)),a($c1,k))).
% 3.12/3.33  151 [para_into,8.1.1.2.1,22.1.1] a(a(a(a(a(a(a($c1,A),B),C),A),a(k,a(a(a(D,s),a(D,s)),a(a(a($c4,$c2),A),A)))),a(k,a($c3,$c2))),a(a(a(a(s,D),s),s),k))=a(k,a(a(s,a(a(a($c2,B),$c4),s)),a($c1,k))).
% 3.12/3.33  311 [para_into,17.1.1.1.1.1.1.2.2,50.1.1] a(a(a(a(a(a(a(a(a($c3,A),B),A),B),a($c4,a(a(a(s,A),$c3),a(s,C)))),a($c3,C)),a(a(s,a(s,k)),s)),a(a($c1,k),B)),s)=a(k,a(a(a(a(a(s,s),s),s),s),a(k,s))).
% 3.12/3.33  355 [para_from,17.1.1,22.1.1.1,demod,3,flip.1] a(a(a(s,a(a(a(a(a(a(a(a($c3,A),B),A),B),a($c4,a(a(C,a(a(s,A),$c3)),a(s,D)))),a($c3,D)),a(C,s)),a(a($c1,k),B))),E),s)=a(a(a(a(a(s,s),s),s),s),a(k,s)).
% 3.12/3.33  155 [para_into,8.1.1.2,4.1.1] a(a(a(a(a(a(a($c1,A),B),C),A),a(k,a(a(a(s,D),a(s,D)),a(a(a($c4,$c2),A),A)))),a(k,a($c3,$c2))),a(a(D,k),a(a(s,s),k)))=a(k,a(a(s,a(a(a($c2,B),$c4),s)),a($c1,k))).
% 3.12/3.33  283 [para_into,17.1.1.1.1.1.1.1.1.1,34.1.1] a(a(a(a(a(a(a(a(a(a(s,$c3),a(k,A)),B),B),A),a($c4,a(a(C,a(a(s,B),$c3)),a(s,D)))),a($c3,D)),a(C,s)),a(a($c1,k),A)),s)=a(k,a(a(a(a(a(s,s),s),s),s),a(k,s))).
% 3.12/3.33  153 [para_into,8.1.1.2.1,4.1.1] a(a(a(a(a(a(a($c1,A),B),C),A),a(k,a(a(a(a(s,D),E),a(a(s,D),E)),a(a(a($c4,$c2),A),A)))),a(k,a($c3,$c2))),a(a(a(D,a(s,s)),a(E,a(s,s))),k))=a(k,a(a(s,a(a(a($c2,B),$c4),s)),a($c1,k))).
% 3.12/3.33  287 [para_into,17.1.1.1.1.1.1.1.1,34.1.1] a(a(a(a(a(a(a(a(a(s,a($c3,A)),a(k,A)),B),B),a($c4,a(a(C,a(a(s,A),$c3)),a(s,D)))),a($c3,D)),a(C,s)),a(a($c1,k),B)),s)=a(k,a(a(a(a(a(s,s),s),s),s),a(k,s))).
% 3.12/3.33  291 [para_into,17.1.1.1.1.1.1.1,34.1.1] a(a(a(a(a(a(a(a(s,a(a($c3,A),B)),a(k,B)),A),a($c4,a(a(C,a(a(s,A),$c3)),a(s,D)))),a($c3,D)),a(C,s)),a(a($c1,k),B)),s)=a(k,a(a(a(a(a(s,s),s),s),s),a(k,s))).
% 3.12/3.33  295 [para_into,17.1.1.1.1.1.1.2.2.1.2,34.1.1] a(a(a(a(a(a(a(a(a($c3,A),B),A),B),a($c4,a(a(C,a(a(a(s,s),a(k,$c3)),A)),a(s,D)))),a($c3,D)),a(C,s)),a(a($c1,k),B)),s)=a(k,a(a(a(a(a(s,s),s),s),s),a(k,s))).
% 3.12/3.33  303 [para_into,17.1.1.1.1.1.1.2.2.1,30.1.1,demod,31] a(a(a(a(a(a(a(a(a($c3,A),B),A),B),a($c4,a(a(C,a(D,a(a(s,A),$c3))),a(s,E)))),a($c3,E)),a(C,a(D,s))),a(a($c1,k),B)),s)=a(k,a(a(a(a(a(s,s),s),s),s),a(k,s))).
% 3.12/3.33  157 [para_from,8.1.1,22.1.1.2,flip.1] a(a(a(s,A),a(a(a(a(a(a($c1,B),C),D),B),a(k,a(a(E,E),a(a(a($c4,$c2),B),B)))),a(k,a($c3,$c2)))),a(a(E,a(s,s)),k))=a(a(A,a(a(E,a(s,s)),k)),a(k,a(a(s,a(a(a($c2,C),$c4),s)),a($c1,k)))).
% 3.12/3.33  305 [para_into,17.1.1.1.1.1.1.2.2.1,22.1.1] a(a(a(a(a(a(a(a(a($c3,A),B),A),B),a($c4,a(a(a(a(s,C),a(s,A)),$c3),a(s,D)))),a($c3,D)),a(a(C,$c3),s)),a(a($c1,k),B)),s)=a(k,a(a(a(a(a(s,s),s),s),s),a(k,s))).
% 3.12/3.33  315 [para_into,17.1.1.1.1.1.1.2.2,34.1.1] a(a(a(a(a(a(a(a(a($c3,A),B),A),B),a($c4,a(a(a(s,C),a(k,a(s,D))),a(a(s,A),$c3)))),a($c3,D)),a(C,s)),a(a($c1,k),B)),s)=a(k,a(a(a(a(a(s,s),s),s),s),a(k,s))).
% 3.12/3.33  317 [para_into,17.1.1.1.1.1.1.2.2,30.1.1] a(a(a(a(a(a(a(a(a($c3,A),B),A),B),a($c4,a(C,a(a(a(s,A),$c3),a(s,D))))),a($c3,D)),a(a(s,a(k,C)),s)),a(a($c1,k),B)),s)=a(k,a(a(a(a(a(s,s),s),s),s),a(k,s))).
% 3.12/3.33  319 [para_into,17.1.1.1.1.1.1.2.2,22.1.1] a(a(a(a(a(a(a(a(a($c3,A),B),A),B),a($c4,a(a(a(s,C),s),a(a(s,A),$c3)))),a($c3,a(a(s,A),$c3))),a(C,s)),a(a($c1,k),B)),s)=a(k,a(a(a(a(a(s,s),s),s),s),a(k,s))).
% 3.12/3.33  201 [para_from,34.1.1,8.1.1.2.1] a(a(a(a(a(a(a($c1,A),B),C),A),a(k,a(a(a(D,E),a(D,E)),a(a(a($c4,$c2),A),A)))),a(k,a($c3,$c2))),a(a(a(a(s,D),a(k,a(s,s))),E),k))=a(k,a(a(s,a(a(a($c2,B),$c4),s)),a($c1,k))).
% 3.12/3.33  325 [para_into,17.1.1.1.1.1.1,34.1.1] a(a(a(a(a(a(a(s,a(a(a($c3,A),B),A)),a(k,a($c4,a(a(C,a(a(s,A),$c3)),a(s,D))))),B),a($c3,D)),a(C,s)),a(a($c1,k),B)),s)=a(k,a(a(a(a(a(s,s),s),s),s),a(k,s))).
% 3.12/3.33  329 [para_into,17.1.1.1.1.1,34.1.1] a(a(a(a(a(a(s,a(a(a(a($c3,A),B),A),B)),a(k,a($c3,C))),a($c4,a(a(D,a(a(s,A),$c3)),a(s,C)))),a(D,s)),a(a($c1,k),B)),s)=a(k,a(a(a(a(a(s,s),s),s),s),a(k,s))).
% 3.12/3.33  339 [para_into,17.1.1.1.1,34.1.1] a(a(a(a(a(s,a(a(a(a(a($c3,A),B),A),B),a($c4,a(a(C,a(a(s,A),$c3)),a(s,D))))),a(k,a(C,s))),a($c3,D)),a(a($c1,k),B)),s)=a(k,a(a(a(a(a(s,s),s),s),s),a(k,s))).
% 3.12/3.33  341 [para_into,17.1.1.1.2,34.1.1] a(a(a(a(a(a(a(a(a($c3,A),B),A),B),a($c4,a(a(C,a(a(s,A),$c3)),a(s,D)))),a($c3,D)),a(C,s)),a(a(a(s,$c1),a(k,B)),k)),s)=a(k,a(a(a(a(a(s,s),s),s),s),a(k,s))).
% 3.12/3.33  238 [para_from,42.1.1,8.1.1.2.1] a(a(a(a(a(a(a($c1,A),B),C),A),a(k,a(a(a(a(s,D),a(k,E)),a(a(s,D),a(k,E))),a(a(a($c4,$c2),A),A)))),a(k,a($c3,$c2))),a(a(a(D,a(s,s)),E),k))=a(k,a(a(s,a(a(a($c2,B),$c4),s)),a($c1,k))).
% 3.12/3.33  345 [para_into,17.1.1.1,34.1.1] a(a(a(a(s,a(a(a(a(a(a($c3,A),B),A),B),a($c4,a(a(C,a(a(s,A),$c3)),a(s,D)))),a($c3,D))),a(k,a(a($c1,k),B))),a(C,s)),s)=a(k,a(a(a(a(a(s,s),s),s),s),a(k,s))).
% 3.12/3.33  347 [para_into,17.1.1.1,22.1.1] a(a(a(a(s,a(a(a(a(a(a($c3,A),a(B,s)),A),a(B,s)),a($c4,a(a(B,a(a(s,A),$c3)),a(s,C)))),a($c3,C))),a($c1,k)),a(B,s)),s)=a(k,a(a(a(a(a(s,s),s),s),s),a(k,s))).
% 3.12/3.33  349 [para_into,17.1.1,34.1.1] a(a(a(s,a(a(a(a(a(a(a($c3,A),B),A),B),a($c4,a(a(C,a(a(s,A),$c3)),a(s,D)))),a($c3,D)),a(C,s))),a(k,s)),a(a($c1,k),B))=a(k,a(a(a(a(a(s,s),s),s),s),a(k,s))).
% 3.12/3.33  285 [para_into,17.1.1.1.1.1.1.1.1.1,22.1.1] a(a(a(a(a(a(a(a(a(a(s,$c3),A),B),B),a(A,B)),a($c4,a(a(C,a(a(s,B),$c3)),a(s,D)))),a($c3,D)),a(C,s)),a(a($c1,k),a(A,B))),s)=a(k,a(a(a(a(a(s,s),s),s),s),a(k,s))).
% 3.12/3.33  240 [para_from,42.1.1,8.1.1.1.1.2.2.1] a(a(a(a(a(a(a($c1,A),B),C),A),a(k,a(a(a(D,a(a(s,D),a(k,E))),E),a(a(a($c4,$c2),A),A)))),a(k,a($c3,$c2))),a(a(a(a(s,D),a(k,E)),a(s,s)),k))=a(k,a(a(s,a(a(a($c2,B),$c4),s)),a($c1,k))).
% 3.12/3.33  289 [para_into,17.1.1.1.1.1.1.1.1,22.1.1] a(a(a(a(a(a(a(a(a(s,a($c3,a(A,B))),A),B),B),a($c4,a(a(C,a(a(s,a(A,B)),$c3)),a(s,D)))),a($c3,D)),a(C,s)),a(a($c1,k),B)),s)=a(k,a(a(a(a(a(s,s),s),s),s),a(k,s))).
% 3.12/3.33  293 [para_into,17.1.1.1.1.1.1.1,22.1.1] a(a(a(a(a(a(a(a(s,a(a($c3,A),a(B,A))),B),A),a($c4,a(a(C,a(a(s,A),$c3)),a(s,D)))),a($c3,D)),a(C,s)),a(a($c1,k),a(B,A))),s)=a(k,a(a(a(a(a(s,s),s),s),s),a(k,s))).
% 3.12/3.33  321 [para_into,17.1.1.1.1.1.1.2.2,4.1.1] a(a(a(a(a(a(a(a(a($c3,A),B),A),B),a($c4,a(a(C,a(s,D)),a(a(a(s,A),$c3),a(s,D))))),a($c3,D)),a(a(s,C),s)),a(a($c1,k),B)),s)=a(k,a(a(a(a(a(s,s),s),s),s),a(k,s))).
% 3.12/3.33  343 [para_into,17.1.1.1.2,22.1.1] a(a(a(a(a(a(a(a(a($c3,A),a(B,k)),A),a(B,k)),a($c4,a(a(C,a(a(s,A),$c3)),a(s,D)))),a($c3,D)),a(C,s)),a(a(a(s,$c1),B),k)),s)=a(k,a(a(a(a(a(s,s),s),s),s),a(k,s))).
% 3.12/3.33  242 [para_from,42.1.1,6.1.1.1.1.2] a(a(a(a(a(a(a($c1,A),A),a(a(s,B),a(k,C))),a(a(s,B),a(k,C))),a(a(B,a(a(s,B),a(k,C))),C)),a(k,A)),k)=a(s,a(a(a(s,a(a(a($c2,$c1),a(a(D,s),s)),a(s,k))),a(a(D,a(s,s)),$c1)),s)).
% 3.12/3.33  259 [para_from,79.1.1,8.1.1.2] a(a(a(a(a(a(a($c1,A),B),C),A),a(k,a(a(a(s,a(a(s,s),D)),a(s,a(a(s,s),D))),a(a(a($c4,$c2),A),A)))),a(k,a($c3,$c2))),a(a(s,s),k))=a(k,a(a(s,a(a(a($c2,B),$c4),s)),a($c1,k))).
% 3.12/3.33  299 [para_into,17.1.1.1.1.1.1.2.2.1,42.1.1] a(a(a(a(a(a(a(a(a($c3,A),B),A),B),a($c4,a(a(a(C,a(a(s,A),$c3)),D),a(s,E)))),a($c3,E)),a(a(a(s,C),a(k,D)),s)),a(a($c1,k),B)),s)=a(k,a(a(a(a(a(s,s),s),s),s),a(k,s))).
% 3.12/3.33  301 [para_into,17.1.1.1.1.1.1.2.2.1,34.1.1] a(a(a(a(a(a(a(a(a($c3,A),B),A),B),a($c4,a(a(a(a(s,C),a(k,a(a(s,A),$c3))),D),a(s,E)))),a($c3,E)),a(a(C,D),s)),a(a($c1,k),B)),s)=a(k,a(a(a(a(a(s,s),s),s),s),a(k,s))).
% 3.12/3.33  331 [para_into,17.1.1.1.1.2,42.1.1] a(a(a(a(a(a(a(a(a($c3,A),B),A),B),a($c4,a(a(a(a(s,C),a(k,D)),a(a(s,A),$c3)),a(s,E)))),a($c3,E)),a(a(C,s),D)),a(a($c1,k),B)),s)=a(k,a(a(a(a(a(s,s),s),s),s),a(k,s))).
% 3.12/3.33  246 [copy,242,flip.1] a(s,a(a(a(s,a(a(a($c2,$c1),a(a(A,s),s)),a(s,k))),a(a(A,a(s,s)),$c1)),s))=a(a(a(a(a(a(a($c1,B),B),a(a(s,C),a(k,D))),a(a(s,C),a(k,D))),a(a(C,a(a(s,C),a(k,D))),D)),a(k,B)),k).
% 3.12/3.33  333 [para_into,17.1.1.1.1.2,34.1.1] a(a(a(a(a(a(a(a(a($c3,A),B),A),B),a($c4,a(a(a(C,D),a(a(s,A),$c3)),a(s,E)))),a($c3,E)),a(a(a(s,C),a(k,s)),D)),a(a($c1,k),B)),s)=a(k,a(a(a(a(a(s,s),s),s),s),a(k,s))).
% 3.12/3.33  337 [para_into,17.1.1.1.1.2,4.1.1] a(a(a(a(a(a(a(a(a($c3,A),B),A),B),a($c4,a(a(a(a(s,C),D),a(a(s,A),$c3)),a(s,E)))),a($c3,E)),a(a(C,s),a(D,s))),a(a($c1,k),B)),s)=a(k,a(a(a(a(a(s,s),s),s),s),a(k,s))).
% 3.12/3.33  351 [para_from,17.1.1,22.1.1.2,flip.1] a(a(a(s,A),a(a(a(a(a(a(a(a($c3,B),C),B),C),a($c4,a(a(D,a(a(s,B),$c3)),a(s,E)))),a($c3,E)),a(D,s)),a(a($c1,k),C))),s)=a(a(A,s),a(k,a(a(a(a(a(s,s),s),s),s),a(k,s)))).
% 3.12/3.33  307 [para_into,17.1.1.1.1.1.1.2.2.1,4.1.1] a(a(a(a(a(a(a(a(a($c3,A),B),A),B),a($c4,a(a(a(C,a(a(s,A),$c3)),a(D,a(a(s,A),$c3))),a(s,E)))),a($c3,E)),a(a(a(s,C),D),s)),a(a($c1,k),B)),s)=a(k,a(a(a(a(a(s,s),s),s),s),a(k,s))).
% 3.12/3.33  278 [para_from,97.1.1,6.1.1.1.1.2] a(a(a(a(a(a(a($c1,A),A),a(a(a(a(a(s,s),B),s),s),k)),a(a(a(a(a(s,s),B),s),s),k)),a(a(a(a(a(s,s),B),s),s),k)),a(k,A)),k)=a(s,a(a(a(s,a(a(a($c2,$c1),a(a(C,s),s)),a(s,k))),a(a(C,a(s,s)),$c1)),s)).
% 3.12/3.33  282 [copy,278,flip.1] a(s,a(a(a(s,a(a(a($c2,$c1),a(a(A,s),s)),a(s,k))),a(a(A,a(s,s)),$c1)),s))=a(a(a(a(a(a(a($c1,B),B),a(a(a(a(a(s,s),C),s),s),k)),a(a(a(a(a(s,s),C),s),s),k)),a(a(a(a(a(s,s),C),s),s),k)),a(k,B)),k).
% 3.12/3.33  327 [para_into,17.1.1.1.1.1.1,22.1.1] a(a(a(a(a(a(a(s,a(a(a($c3,A),a(a(B,a(a(s,A),$c3)),a(s,C))),A)),$c4),a(a(B,a(a(s,A),$c3)),a(s,C))),a($c3,C)),a(B,s)),a(a($c1,k),a(a(B,a(a(s,A),$c3)),a(s,C)))),s)=a(k,a(a(a(a(a(s,s),s),s),s),a(k,s))).
% 3.12/3.33  335 [para_into,17.1.1.1.1.2,17.1.1] a(a(a(a(a(a(a(a(a($c3,A),B),A),B),a($c4,a(a(a(a(a(a(a(a(a(a($c3,C),D),C),D),a($c4,a(a(E,a(a(s,C),$c3)),a(s,F)))),a($c3,F)),a(E,s)),a(a($c1,k),D)),a(a(s,A),$c3)),a(s,G)))),a($c3,G)),a(k,a(a(a(a(a(s,s),s),s),s),a(k,s)))),a(a($c1,k),B)),s)=a(k,a(a(a(a(a(s,s),s),s),s),a(k,s))).
% 3.12/3.33  end_of_list.
% 3.12/3.33  
% 3.12/3.33  list(sos).
% 3.12/3.33  end_of_list.
% 3.12/3.33  
% 3.12/3.33  list(demodulators).
% 3.12/3.33  3 [new_demod,2] a(a(k,A),B)=A.
% 3.12/3.33  9 [new_demod,8] a(a(a(a(a(a(a($c1,A),B),C),A),a(k,a(a(D,D),a(a(a($c4,$c2),A),A)))),a(k,a($c3,$c2))),a(a(D,a(s,s)),k))=a(k,a(a(s,a(a(a($c2,B),$c4),s)),a($c1,k))).
% 3.12/3.33  18 [new_demod,17] a(a(a(a(a(a(a(a(a($c3,A),B),A),B),a($c4,a(a(C,a(a(s,A),$c3)),a(s,D)))),a($c3,D)),a(C,s)),a(a($c1,k),B)),s)=a(k,a(a(a(a(a(s,s),s),s),s),a(k,s))).
% 3.12/3.33  31 [new_demod,30] a(a(a(s,a(k,A)),B),C)=a(A,a(B,C)).
% 3.12/3.33  37 [new_demod,36] a(a(a(s,k),A),B)=B.
% 3.12/3.33  45 [new_demod,44] a(a(a(a(a(a(a($c2,A),B),C),C),a(a(s,a(k,B)),a(A,a(B,k)))),$c4),s)=a(k,a(a(a(a(a($c1,B),$c2),a(a($c4,k),k)),$c3),a($c3,s))).
% 3.12/3.33  49 [new_demod,48] a(a(a(a(s,s),A),k),B)=B.
% 3.12/3.33  51 [new_demod,50] a(a(a(s,a(s,k)),A),B)=a(A,B).
% 3.12/3.33  78 [new_demod,77] a(a(a(a(a(s,s),A),s),k),B)=B.
% 3.12/3.33  80 [new_demod,79] a(a(a(s,a(a(s,s),A)),B),k)=a(B,k).
% 3.12/3.33  88 [new_demod,87] a(a(a(a(s,s),A),a(s,k)),B)=a(a(A,a(s,k)),B).
% 3.12/3.33  98 [new_demod,97] a(a(a(a(a(a(s,s),A),s),s),k),B)=B.
% 3.12/3.33  100 [new_demod,99] a(a(a(s,a(a(a(s,s),A),s)),B),k)=a(B,k).
% 3.12/3.33  108 [new_demod,107] a(a(a(a(s,s),A),a(k,B)),C)=a(B,a(a(A,a(k,B)),C)).
% 3.12/3.33  120 [new_demod,119] a(a(a(a(a(a(a(a(s,$c1),A),B),C),B),a(k,a(a(D,D),a(a(a($c4,$c2),B),B)))),a(k,a($c3,$c2))),a(a(D,a(s,s)),k))=a(k,a(a(s,a(a(a($c2,a(A,B)),$c4),s)),a($c1,k))).
% 3.12/3.33  122 [new_demod,121] a(a(a(a(a(a(a(s,a($c1,A)),B),C),A),a(k,a(a(D,D),a(a(a($c4,$c2),A),A)))),a(k,a($c3,$c2))),a(a(D,a(s,s)),k))=a(k,a(a(s,a(a(a($c2,C),$c4),s)),a($c1,k))).
% 3.12/3.33  124 [new_demod,123] a(a(a(a(a(a(s,a(a($c1,a(A,B)),C)),A),B),a(k,a(a(D,D),a(a(a($c4,$c2),a(A,B)),a(A,B))))),a(k,a($c3,$c2))),a(a(D,a(s,s)),k))=a(k,a(a(s,a(a(a($c2,C),$c4),s)),a($c1,k))).
% 3.12/3.33  126 [new_demod,125] a(a(a(a(a(a(a($c1,A),B),C),A),a(k,a(a(a($c4,$c2),A),A))),a(k,a($c3,$c2))),a(a(s,s),k))=a(k,a(a(s,a(a(a($c2,B),$c4),s)),a($c1,k))).
% 3.12/3.33  128 [new_demod,127] a(a(a(a(a(a(a($c1,A),B),C),A),a(k,a(a(D,a(a(s,a(s,k)),D)),a(a(a($c4,$c2),A),A)))),a(k,a($c3,$c2))),a(a(D,a(s,s)),k))=a(k,a(a(s,a(a(a($c2,B),$c4),s)),a($c1,k))).
% 3.12/3.33  130 [new_demod,129] a(a(a(a(a(a(a($c1,A),B),C),A),a(k,a(a(D,a(E,a(a(s,a(k,D)),E))),a(a(a($c4,$c2),A),A)))),a(k,a($c3,$c2))),a(a(D,a(E,a(s,s))),k))=a(k,a(a(s,a(a(a($c2,B),$c4),s)),a($c1,k))).
% 3.12/3.33  132 [new_demod,131] a(a(a(a(a(a(a($c1,A),B),C),A),a(k,a(a(a(a(s,D),D),E),a(a(a($c4,$c2),A),A)))),a(k,a($c3,$c2))),a(a(a(D,E),a(s,s)),k))=a(k,a(a(s,a(a(a($c2,B),$c4),s)),a($c1,k))).
% 3.12/3.33  134 [new_demod,133] a(a(a(a(a(a(a($c1,A),B),C),A),a(k,a(a(a(D,a(a(s,D),E)),a(E,a(a(s,D),E))),a(a(a($c4,$c2),A),A)))),a(k,a($c3,$c2))),a(a(a(a(s,D),E),a(s,s)),k))=a(k,a(a(s,a(a(a($c2,B),$c4),s)),a($c1,k))).
% 3.12/3.33  136 [new_demod,135] a(a(a(a(a(a(a($c1,A),B),C),A),a(k,a(D,a(a(a($c4,$c2),A),A)))),a(k,a($c3,$c2))),a(D,k))=a(k,a(a(s,a(a(a($c2,B),$c4),s)),a($c1,k))).
% 3.12/3.33  138 [new_demod,137] a(a(a(a(a(a(a($c1,a(A,$c2)),B),C),a(A,$c2)),a(k,a(a(D,D),a(a(a(a(s,$c4),A),$c2),a(A,$c2))))),a(k,a($c3,$c2))),a(a(D,a(s,s)),k))=a(k,a(a(s,a(a(a($c2,B),$c4),s)),a($c1,k))).
% 3.12/3.33  140 [new_demod,139] a(a(a(a(a(a(a($c1,A),B),C),A),a(k,a(a(s,a(s,k)),a(a(a($c4,$c2),A),A)))),a(k,a($c3,$c2))),a(a(s,s),k))=a(k,a(a(s,a(a(a($c2,B),$c4),s)),a($c1,k))).
% 3.12/3.33  142 [new_demod,141] a(a(a(a(a(a(a($c1,A),B),C),A),a(k,a(a(a($c4,$c2),A),A))),a(k,a($c3,$c2))),k)=a(k,a(a(s,a(a(a($c2,B),$c4),s)),a($c1,k))).
% 3.12/3.33  144 [new_demod,143] a(a(a(a(a(a(a($c1,A),B),C),A),a(k,a(D,a(a(s,a(k,D)),a(a(a($c4,$c2),A),A))))),a(k,a($c3,$c2))),a(D,a(a(s,s),k)))=a(k,a(a(s,a(a(a($c2,B),$c4),s)),a($c1,k))).
% 3.12/3.33  146 [new_demod,145] a(a(a(a(a(a(a($c1,A),B),C),A),a(k,a(a(a(s,A),a(a($c4,$c2),A)),A))),a(k,a($c3,$c2))),a(a(A,a(s,s)),k))=a(k,a(a(s,a(a(a($c2,B),$c4),s)),a($c1,k))).
% 3.12/3.33  148 [new_demod,147] a(a(a(a(a(a(a($c1,A),B),C),A),a(k,a(a(D,a(a(a($c4,$c2),A),A)),a(a(s,D),a(a(a($c4,$c2),A),A))))),a(k,a($c3,$c2))),a(a(a(s,D),a(s,s)),k))=a(k,a(a(s,a(a(a($c2,B),$c4),s)),a($c1,k))).
% 3.12/3.33  150 [new_demod,149] a(a(a(a(a(a(a($c1,A),B),C),A),a(k,k)),a(k,a($c3,$c2))),a(s,s))=a(k,a(a(s,a(a(a($c2,B),$c4),s)),a($c1,k))).
% 3.12/3.33  152 [new_demod,151] a(a(a(a(a(a(a($c1,A),B),C),A),a(k,a(a(a(D,s),a(D,s)),a(a(a($c4,$c2),A),A)))),a(k,a($c3,$c2))),a(a(a(a(s,D),s),s),k))=a(k,a(a(s,a(a(a($c2,B),$c4),s)),a($c1,k))).
% 3.12/3.33  154 [new_demod,153] a(a(a(a(a(a(a($c1,A),B),C),A),a(k,a(a(a(a(s,D),E),a(a(s,D),E)),a(a(a($c4,$c2),A),A)))),a(k,a($c3,$c2))),a(a(a(D,a(s,s)),a(E,a(s,s))),k))=a(k,a(a(s,a(a(a($c2,B),$c4),s)),a($c1,k))).
% 3.12/3.33  156 [new_demod,155] a(a(a(a(a(a(a($c1,A),B),C),A),a(k,a(a(a(s,D),a(s,D)),a(a(a($c4,$c2),A),A)))),a(k,a($c3,$c2))),a(a(D,k),a(a(s,s),k)))=a(k,a(a(s,a(a(a($c2,B),$c4),s)),a($c1,k))).
% 3.12/3.33  158 [new_demod,157] a(a(a(s,A),a(a(a(a(a(a($c1,B),C),D),B),a(k,a(a(E,E),a(a(a($c4,$c2),B),B)))),a(k,a($c3,$c2)))),a(a(E,a(s,s)),k))=a(a(A,a(a(E,a(s,s)),k)),a(k,a(a(s,a(a(a($c2,C),$c4),s)),a($c1,k)))).
% 3.12/3.33  160 [new_demod,159] a(a(a(s,a(a(a(a(a(a($c1,A),B),C),A),a(k,a(a(D,D),a(a(a($c4,$c2),A),A)))),a(k,a($c3,$c2)))),E),a(a(D,a(s,s)),k))=a(a(s,a(a(a($c2,B),$c4),s)),a($c1,k)).
% 3.12/3.33  173 [new_demod,172] a(a(a(s,A),a(k,a(B,C))),C)=a(a(a(s,A),B),C).
% 3.12/3.33  175 [new_demod,174] a(a(a(s,a(a(a(a(a($c1,A),B),C),A),a(k,a(a(D,D),a(a(a($c4,$c2),A),A))))),a(k,a(a(D,a(s,s)),k))),a(k,a($c3,$c2)))=a(k,a(a(s,a(a(a($c2,B),$c4),s)),a($c1,k))).
% 3.12/3.33  192 [new_demod,191] a(a(a(a(s,a(a(s,s),A)),a(k,k)),s),B)=B.
% 3.12/3.33  194 [new_demod,193] a(a(a(a(a(s,a(s,s)),a(k,s)),A),k),B)=B.
% 3.12/3.33  196 [new_demod,195] a(a(a(a(s,a(s,s)),a(k,k)),A),B)=B.
% 3.12/3.33  200 [new_demod,199] a(a(a(a(a(a(a($c1,A),B),C),A),a(k,a(a(D,D),a(a(a($c4,$c2),A),A)))),a(k,a($c3,$c2))),a(a(a(s,D),a(k,k)),a(s,s)))=a(k,a(a(s,a(a(a($c2,B),$c4),s)),a($c1,k))).
% 3.12/3.33  202 [new_demod,201] a(a(a(a(a(a(a($c1,A),B),C),A),a(k,a(a(a(D,E),a(D,E)),a(a(a($c4,$c2),A),A)))),a(k,a($c3,$c2))),a(a(a(a(s,D),a(k,a(s,s))),E),k))=a(k,a(a(s,a(a(a($c2,B),$c4),s)),a($c1,k))).
% 3.12/3.33  204 [new_demod,203] a(a(a(a(s,a(a(a(a($c1,A),B),C),A)),a(k,a(k,a($c3,$c2)))),a(k,a(a(D,D),a(a(a($c4,$c2),A),A)))),a(a(D,a(s,s)),k))=a(k,a(a(s,a(a(a($c2,B),$c4),s)),a($c1,k))).
% 3.12/3.33  206 [new_demod,205] a(a(a(a(a(s,a(a(a($c1,A),B),C)),a(k,a(k,a(a(D,D),a(a(a($c4,$c2),A),A))))),A),a(k,a($c3,$c2))),a(a(D,a(s,s)),k))=a(k,a(a(s,a(a(a($c2,B),$c4),s)),a($c1,k))).
% 3.12/3.33  208 [new_demod,207] a(a(a(a(a(a(a($c1,A),B),C),A),a(k,a(a(a(s,D),a(k,a(a(a($c4,$c2),A),A))),D))),a(k,a($c3,$c2))),a(a(D,a(s,s)),k))=a(k,a(a(s,a(a(a($c2,B),$c4),s)),a($c1,k))).
% 3.12/3.33  210 [new_demod,209] a(a(a(a(a(a(a($c1,A),B),C),A),a(k,a(a(D,D),a(a(a(s,a($c4,$c2)),a(k,A)),A)))),a(k,a($c3,$c2))),a(a(D,a(s,s)),k))=a(k,a(a(s,a(a(a($c2,B),$c4),s)),a($c1,k))).
% 3.12/3.33  212 [new_demod,211] a(a(a(a(a(a(a($c1,A),B),C),A),a(k,a(a(D,D),a(a(a(a(s,$c4),a(k,A)),$c2),A)))),a(k,a($c3,$c2))),a(a(D,a(s,s)),k))=a(k,a(a(s,a(a(a($c2,B),$c4),s)),a($c1,k))).
% 3.12/3.33  214 [new_demod,213] a(a(a(a(a(a(s,a(a($c1,A),B)),a(k,A)),C),a(k,a(a(D,D),a(a(a($c4,$c2),A),A)))),a(k,a($c3,$c2))),a(a(D,a(s,s)),k))=a(k,a(a(s,a(a(a($c2,B),$c4),s)),a($c1,k))).
% 3.12/3.33  230 [new_demod,229] a(a(a(s,a(s,A)),a(k,B)),a(k,C))=a(a(A,B),C).
% 3.12/3.33  239 [new_demod,238] a(a(a(a(a(a(a($c1,A),B),C),A),a(k,a(a(a(a(s,D),a(k,E)),a(a(s,D),a(k,E))),a(a(a($c4,$c2),A),A)))),a(k,a($c3,$c2))),a(a(a(D,a(s,s)),E),k))=a(k,a(a(s,a(a(a($c2,B),$c4),s)),a($c1,k))).
% 3.12/3.33  241 [new_demod,240] a(a(a(a(a(a(a($c1,A),B),C),A),a(k,a(a(a(D,a(a(s,D),a(k,E))),E),a(a(a($c4,$c2),A),A)))),a(k,a($c3,$c2))),a(a(a(a(s,D),a(k,E)),a(s,s)),k))=a(k,a(a(s,a(a(a($c2,B),$c4),s)),a($c1,k))).
% 3.12/3.33  250 [new_demod,249] a(a(a(a(s,s),A),a(a(s,s),B)),k)=a(a(A,a(a(s,s),B)),k).
% 3.12/3.33  254 [new_demod,253] a(a(a(s,A),a(a(s,a(a(s,s),B)),C)),k)=a(a(A,k),a(C,k)).
% 3.12/3.33  258 [new_demod,257] a(a(a(s,a(a(s,a(a(s,s),A)),B)),C),k)=a(a(B,k),a(C,k)).
% 3.12/3.33  260 [new_demod,259] a(a(a(a(a(a(a($c1,A),B),C),A),a(k,a(a(a(s,a(a(s,s),D)),a(s,a(a(s,s),D))),a(a(a($c4,$c2),A),A)))),a(k,a($c3,$c2))),a(a(s,s),k))=a(k,a(a(s,a(a(a($c2,B),$c4),s)),a($c1,k))).
% 3.12/3.33  264 [new_demod,263] a(a(a(a(a(a(a(s,s),A),s),s),s),k),B)=B.
% 3.12/3.33  266 [new_demod,265] a(a(a(a(a(a(s,a(s,s)),a(k,s)),A),s),k),B)=B.
% 3.12/3.33  268 [new_demod,267] a(a(a(a(a(s,a(a(s,s),A)),a(k,s)),s),k),B)=B.
% 3.12/3.33  270 [new_demod,269] a(a(a(a(s,a(a(a(s,s),A),s)),a(k,k)),s),B)=B.
% 3.12/3.33  274 [new_demod,273] a(a(a(s,a(a(a(a(s,s),A),s),s)),B),k)=a(B,k).
% 3.12/3.33  284 [new_demod,283] a(a(a(a(a(a(a(a(a(a(s,$c3),a(k,A)),B),B),A),a($c4,a(a(C,a(a(s,B),$c3)),a(s,D)))),a($c3,D)),a(C,s)),a(a($c1,k),A)),s)=a(k,a(a(a(a(a(s,s),s),s),s),a(k,s))).
% 3.12/3.33  286 [new_demod,285] a(a(a(a(a(a(a(a(a(a(s,$c3),A),B),B),a(A,B)),a($c4,a(a(C,a(a(s,B),$c3)),a(s,D)))),a($c3,D)),a(C,s)),a(a($c1,k),a(A,B))),s)=a(k,a(a(a(a(a(s,s),s),s),s),a(k,s))).
% 3.12/3.33  288 [new_demod,287] a(a(a(a(a(a(a(a(a(s,a($c3,A)),a(k,A)),B),B),a($c4,a(a(C,a(a(s,A),$c3)),a(s,D)))),a($c3,D)),a(C,s)),a(a($c1,k),B)),s)=a(k,a(a(a(a(a(s,s),s),s),s),a(k,s))).
% 3.12/3.33  290 [new_demod,289] a(a(a(a(a(a(a(a(a(s,a($c3,a(A,B))),A),B),B),a($c4,a(a(C,a(a(s,a(A,B)),$c3)),a(s,D)))),a($c3,D)),a(C,s)),a(a($c1,k),B)),s)=a(k,a(a(a(a(a(s,s),s),s),s),a(k,s))).
% 3.12/3.33  292 [new_demod,291] a(a(a(a(a(a(a(a(s,a(a($c3,A),B)),a(k,B)),A),a($c4,a(a(C,a(a(s,A),$c3)),a(s,D)))),a($c3,D)),a(C,s)),a(a($c1,k),B)),s)=a(k,a(a(a(a(a(s,s),s),s),s),a(k,s))).
% 3.12/3.33  294 [new_demod,293] a(a(a(a(a(a(a(a(s,a(a($c3,A),a(B,A))),B),A),a($c4,a(a(C,a(a(s,A),$c3)),a(s,D)))),a($c3,D)),a(C,s)),a(a($c1,k),a(B,A))),s)=a(k,a(a(a(a(a(s,s),s),s),s),a(k,s))).
% 3.12/3.33  296 [new_demod,295] a(a(a(a(a(a(a(a(a($c3,A),B),A),B),a($c4,a(a(C,a(a(a(s,s),a(k,$c3)),A)),a(s,D)))),a($c3,D)),a(C,s)),a(a($c1,k),B)),s)=a(k,a(a(a(a(a(s,s),s),s),s),a(k,s))).
% 3.12/3.33  298 [new_demod,297] a(a(a(a(a(a(a(a(a($c3,A),B),A),B),a($c4,a(a(a(s,A),$c3),a(s,C)))),a($c3,C)),s),a(a($c1,k),B)),s)=a(k,a(a(a(a(a(s,s),s),s),s),a(k,s))).
% 3.12/3.33  300 [new_demod,299] a(a(a(a(a(a(a(a(a($c3,A),B),A),B),a($c4,a(a(a(C,a(a(s,A),$c3)),D),a(s,E)))),a($c3,E)),a(a(a(s,C),a(k,D)),s)),a(a($c1,k),B)),s)=a(k,a(a(a(a(a(s,s),s),s),s),a(k,s))).
% 3.12/3.33  302 [new_demod,301] a(a(a(a(a(a(a(a(a($c3,A),B),A),B),a($c4,a(a(a(a(s,C),a(k,a(a(s,A),$c3))),D),a(s,E)))),a($c3,E)),a(a(C,D),s)),a(a($c1,k),B)),s)=a(k,a(a(a(a(a(s,s),s),s),s),a(k,s))).
% 3.12/3.33  304 [new_demod,303] a(a(a(a(a(a(a(a(a($c3,A),B),A),B),a($c4,a(a(C,a(D,a(a(s,A),$c3))),a(s,E)))),a($c3,E)),a(C,a(D,s))),a(a($c1,k),B)),s)=a(k,a(a(a(a(a(s,s),s),s),s),a(k,s))).
% 3.12/3.33  306 [new_demod,305] a(a(a(a(a(a(a(a(a($c3,A),B),A),B),a($c4,a(a(a(a(s,C),a(s,A)),$c3),a(s,D)))),a($c3,D)),a(a(C,$c3),s)),a(a($c1,k),B)),s)=a(k,a(a(a(a(a(s,s),s),s),s),a(k,s))).
% 3.12/3.33  308 [new_demod,307] a(a(a(a(a(a(a(a(a($c3,A),B),A),B),a($c4,a(a(a(C,a(a(s,A),$c3)),a(D,a(a(s,A),$c3))),a(s,E)))),a($c3,E)),a(a(a(s,C),D),s)),a(a($c1,k),B)),s)=a(k,a(a(a(a(a(s,s),s),s),s),a(k,s))).
% 3.12/3.33  310 [new_demod,309] a(a(a(a(a(a(a(a(a($c3,A),B),A),B),a($c4,a(C,a(s,D)))),a($c3,D)),C),a(a($c1,k),B)),s)=a(k,a(a(a(a(a(s,s),s),s),s),a(k,s))).
% 3.12/3.33  312 [new_demod,311] a(a(a(a(a(a(a(a(a($c3,A),B),A),B),a($c4,a(a(a(s,A),$c3),a(s,C)))),a($c3,C)),a(a(s,a(s,k)),s)),a(a($c1,k),B)),s)=a(k,a(a(a(a(a(s,s),s),s),s),a(k,s))).
% 3.12/3.33  314 [new_demod,313] a(a(a(a(a(a(a(a(a($c3,A),B),A),B),a($c4,a(s,C))),a($c3,C)),a(a(s,k),s)),a(a($c1,k),B)),s)=a(k,a(a(a(a(a(s,s),s),s),s),a(k,s))).
% 3.12/3.33  316 [new_demod,315] a(a(a(a(a(a(a(a(a($c3,A),B),A),B),a($c4,a(a(a(s,C),a(k,a(s,D))),a(a(s,A),$c3)))),a($c3,D)),a(C,s)),a(a($c1,k),B)),s)=a(k,a(a(a(a(a(s,s),s),s),s),a(k,s))).
% 3.12/3.33  318 [new_demod,317] a(a(a(a(a(a(a(a(a($c3,A),B),A),B),a($c4,a(C,a(a(a(s,A),$c3),a(s,D))))),a($c3,D)),a(a(s,a(k,C)),s)),a(a($c1,k),B)),s)=a(k,a(a(a(a(a(s,s),s),s),s),a(k,s))).
% 3.12/3.33  320 [new_demod,319] a(a(a(a(a(a(a(a(a($c3,A),B),A),B),a($c4,a(a(a(s,C),s),a(a(s,A),$c3)))),a($c3,a(a(s,A),$c3))),a(C,s)),a(a($c1,k),B)),s)=a(k,a(a(a(a(a(s,s),s),s),s),a(k,s))).
% 3.12/3.33  322 [new_demod,321] a(a(a(a(a(a(a(a(a($c3,A),B),A),B),a($c4,a(a(C,a(s,D)),a(a(a(s,A),$c3),a(s,D))))),a($c3,D)),a(a(s,C),s)),a(a($c1,k),B)),s)=a(k,a(a(a(a(a(s,s),s),s),s),a(k,s))).
% 3.12/3.33  324 [new_demod,323] a(a(a(a(a(a(a(a(a($c3,A),B),A),B),a($c4,a(a(s,A),$c3))),a($c3,C)),a(k,s)),a(a($c1,k),B)),s)=a(k,a(a(a(a(a(s,s),s),s),s),a(k,s))).
% 3.12/3.33  326 [new_demod,325] a(a(a(a(a(a(a(s,a(a(a($c3,A),B),A)),a(k,a($c4,a(a(C,a(a(s,A),$c3)),a(s,D))))),B),a($c3,D)),a(C,s)),a(a($c1,k),B)),s)=a(k,a(a(a(a(a(s,s),s),s),s),a(k,s))).
% 3.12/3.33  328 [new_demod,327] a(a(a(a(a(a(a(s,a(a(a($c3,A),a(a(B,a(a(s,A),$c3)),a(s,C))),A)),$c4),a(a(B,a(a(s,A),$c3)),a(s,C))),a($c3,C)),a(B,s)),a(a($c1,k),a(a(B,a(a(s,A),$c3)),a(s,C)))),s)=a(k,a(a(a(a(a(s,s),s),s),s),a(k,s))).
% 3.12/3.33  330 [new_demod,329] a(a(a(a(a(a(s,a(a(a(a($c3,A),B),A),B)),a(k,a($c3,C))),a($c4,a(a(D,a(a(s,A),$c3)),a(s,C)))),a(D,s)),a(a($c1,k),B)),s)=a(k,a(a(a(a(a(s,s),s),s),s),a(k,s))).
% 3.12/3.33  332 [new_demod,331] a(a(a(a(a(a(a(a(a($c3,A),B),A),B),a($c4,a(a(a(a(s,C),a(k,D)),a(a(s,A),$c3)),a(s,E)))),a($c3,E)),a(a(C,s),D)),a(a($c1,k),B)),s)=a(k,a(a(a(a(a(s,s),s),s),s),a(k,s))).
% 3.12/3.33  334 [new_demod,333] a(a(a(a(a(a(a(a(a($c3,A),B),A),B),a($c4,a(a(a(C,D),a(a(s,A),$c3)),a(s,E)))),a($c3,E)),a(a(a(s,C),a(k,s)),D)),a(a($c1,k),B)),s)=a(k,a(a(a(a(a(s,s),s),s),s),a(k,s))).
% 3.12/3.33  336 [new_demod,335] a(a(a(a(a(a(a(a(a($c3,A),B),A),B),a($c4,a(a(a(a(a(a(a(a(a(a($c3,C),D),C),D),a($c4,a(a(E,a(a(s,C),$c3)),a(s,F)))),a($c3,F)),a(E,s)),a(a($c1,k),D)),a(a(s,A),$c3)),a(s,G)))),a($c3,G)),a(k,a(a(a(a(a(s,s),s),s),s),a(k,s)))),a(a($c1,k),B)),s)=a(k,a(a(a(a(a(s,s),s),s),s),a(k,s))).
% 3.12/3.33  338 [new_demod,337] a(a(a(a(a(a(a(a(a($c3,A),B),A),B),a($c4,a(a(a(a(s,C),D),a(a(s,A),$c3)),a(s,E)))),a($c3,E)),a(a(C,s),a(D,s))),a(a($c1,k),B)),s)=a(k,a(a(a(a(a(s,s),s),s),s),a(k,s))).
% 3.12/3.33  340 [new_demod,339] a(a(a(a(a(s,a(a(a(a(a($c3,A),B),A),B),a($c4,a(a(C,a(a(s,A),$c3)),a(s,D))))),a(k,a(C,s))),a($c3,D)),a(a($c1,k),B)),s)=a(k,a(a(a(a(a(s,s),s),s),s),a(k,s))).
% 3.12/3.33  342 [new_demod,341] a(a(a(a(a(a(a(a(a($c3,A),B),A),B),a($c4,a(a(C,a(a(s,A),$c3)),a(s,D)))),a($c3,D)),a(C,s)),a(a(a(s,$c1),a(k,B)),k)),s)=a(k,a(a(a(a(a(s,s),s),s),s),a(k,s))).
% 3.12/3.33  344 [new_demod,343] a(a(a(a(a(a(a(a(a($c3,A),a(B,k)),A),a(B,k)),a($c4,a(a(C,a(a(s,A),$c3)),a(s,D)))),a($c3,D)),a(C,s)),a(a(a(s,$c1),B),k)),s)=a(k,a(a(a(a(a(s,s),s),s),s),a(k,s))).
% 3.12/3.33  346 [new_demod,345] a(a(a(a(s,a(a(a(a(a(a($c3,A),B),A),B),a($c4,a(a(C,a(a(s,A),$c3)),a(s,D)))),a($c3,D))),a(k,a(a($c1,k),B))),a(C,s)),s)=a(k,a(a(a(a(a(s,s),s),s),s),a(k,s))).
% 3.12/3.33  348 [new_demod,347] a(a(a(a(s,a(a(a(a(a(a($c3,A),a(B,s)),A),a(B,s)),a($c4,a(a(B,a(a(s,A),$c3)),a(s,C)))),a($c3,C))),a($c1,k)),a(B,s)),s)=a(k,a(a(a(a(a(s,s),s),s),s),a(k,s))).
% 3.12/3.33  350 [new_demod,349] a(a(a(s,a(a(a(a(a(a(a($c3,A),B),A),B),a($c4,a(a(C,a(a(s,A),$c3)),a(s,D)))),a($c3,D)),a(C,s))),a(k,s)),a(a($c1,k),B))=a(k,a(a(a(a(a(s,s),s),s),s),a(k,s))).
% 3.12/3.33  352 [new_demod,351] a(a(a(s,A),a(a(a(a(a(a(a(a($c3,B),C),B),C),a($c4,a(a(D,a(a(s,B),$c3)),a(s,E)))),a($c3,E)),a(D,s)),a(a($c1,k),C))),s)=a(a(A,s),a(k,a(a(a(a(a(s,s),s),s),s),a(k,s)))).
% 3.12/3.33  356 [new_demod,355] a(a(a(s,a(a(a(a(a(a(a(a($c3,A),B),A),B),a($c4,a(a(C,a(a(s,A),$c3)),a(s,D)))),a($c3,D)),a(C,s)),a(a($c1,k),B))),E),s)=a(a(a(a(a(s,s),s),s),s),a(k,s)).
% 3.12/3.33  358 [new_demod,357] a(a(a(a(s,a(s,a(s,s))),A),a(k,k)),B)=B.
% 3.12/3.33  360 [new_demod,359] a(a(a(a(a(s,s),k),s),a(s,k)),A)=a(s,A).
% 3.12/3.33  362 [new_demod,361] a(a(a(a(s,a(s,s)),a(a(s,k),A)),k),B)=B.
% 3.12/3.33  413 [new_demod,412] a(a(a(s,a(a(s,k),A)),B),a(k,C))=C.
% 3.12/3.33  416 [new_demod,415] a(a(a(a(s,a(a(s,k),A)),B),a(s,k)),C)=C.
% 3.12/3.33  418 [new_demod,417] a(a(a(a(s,a(a(s,k),A)),B),k),C)=a(B,k).
% 3.12/3.33  422 [new_demod,421] a(a(a(s,a(a(a(s,s),A),k)),B),a(k,C))=C.
% 3.12/3.33  426 [new_demod,425] a(a(a(a(s,s),A),a(a(s,k),B)),a(k,C))=C.
% 3.12/3.33  428 [new_demod,427] a(a(a(s,a(s,a(a(s,k),A))),k),B)=B.
% 3.12/3.33  440 [new_demod,439] a(a(a(s,a(s,a(a(a(s,s),A),k))),k),B)=B.
% 3.12/3.33  445 [new_demod,444] a(a(a(s,a(s,a(s,k))),A),a(k,B))=B.
% 3.12/3.33  448 [new_demod,447] a(a(a(a(s,a(s,a(s,k))),A),a(s,k)),B)=B.
% 3.12/3.33  450 [new_demod,449] a(a(a(a(s,a(s,a(s,k))),A),k),B)=a(A,k).
% 3.12/3.33  454 [new_demod,453] a(a(a(a(s,s),A),a(s,a(s,k))),a(k,B))=B.
% 3.12/3.33  456 [new_demod,455] a(a(a(s,a(s,a(s,a(s,k)))),k),A)=A.
% 3.12/3.33  464 [new_demod,463] a(a(a(a(s,a(s,a(s,a(s,s)))),k),k),A)=A.
% 3.12/3.33  467 [new_demod,466] a(a(a(a(s,a(s,s)),s),a(s,k)),a(k,A))=A.
% 3.12/3.33  471 [new_demod,470] a(a(a(a(s,a(s,s)),a(s,k)),A),a(k,B))=B.
% 3.12/3.33  473 [new_demod,472] a(a(a(a(s,a(s,s)),s),k),A)=a(s,k).
% 3.12/3.33  480 [new_demod,479] a(a(a(s,a(a(s,s),k)),A),a(s,k))=a(s,k).
% 3.12/3.33  482 [new_demod,481] a(a(a(s,a(a(s,a(s,s)),s)),A),k)=a(s,k).
% 3.12/3.33  484 [new_demod,483] a(a(a(a(a(s,s),a(s,k)),a(s,s)),k),A)=A.
% 3.12/3.33  488 [new_demod,487] a(a(a(a(s,a(s,a(a(s,k),A))),s),k),B)=B.
% 3.12/3.33  490 [new_demod,489] a(a(a(s,a(a(s,a(s,s)),a(s,k))),k),A)=A.
% 3.12/3.33  492 [new_demod,491] a(a(a(a(s,a(s,a(s,a(s,k)))),s),k),A)=A.
% 3.12/3.33  494 [new_demod,493] a(a(a(a(a(s,a(s,s)),s),a(s,k)),k),A)=k.
% 3.12/3.33  496 [new_demod,495] a(a(a(s,a(s,a(a(s,s),k))),s),k)=a(s,k).
% 3.12/3.33  499 [new_demod,498] a(a(a(s,a(s,a(k,A))),B),a(k,C))=a(A,C).
% 3.12/3.33  502 [new_demod,501] a(a(a(s,a(s,a(k,a(k,A)))),B),C)=A.
% 3.12/3.33  506 [new_demod,505] a(a(a(a(s,a(s,a(k,a(s,k)))),A),B),C)=C.
% 3.12/3.33  510 [new_demod,509] a(a(a(a(s,a(s,s)),s),a(k,a(k,A))),B)=A.
% 3.12/3.33  512 [new_demod,511] a(a(a(a(s,s),A),a(s,a(k,a(k,B)))),C)=B.
% 3.12/3.33  516 [new_demod,515] a(a(a(s,a(s,a(s,a(k,a(k,A))))),B),C)=A.
% 3.12/3.33  530 [new_demod,529] a(a(a(s,a(s,a(s,a(k,A)))),k),B)=a(A,B).
% 3.12/3.33  532 [new_demod,531] a(a(a(s,a(a(s,a(s,k)),k)),A),B)=B.
% 3.12/3.33  534 [new_demod,533] a(a(a(a(s,a(a(s,a(s,k)),s)),A),k),B)=B.
% 3.12/3.33  538 [new_demod,537] a(a(a(a(s,a(s,s)),a(s,a(s,k))),k),A)=A.
% 3.12/3.33  540 [new_demod,539] a(a(a(a(s,s),A),a(a(s,a(s,k)),k)),B)=B.
% 3.12/3.33  542 [new_demod,541] a(a(a(s,a(s,a(a(s,s),A))),k),a(k,B))=B.
% 3.12/3.33  544 [new_demod,543] a(a(a(a(s,a(s,s)),k),a(k,A)),B)=A.
% 3.12/3.33  546 [new_demod,545] a(a(a(a(a(s,s),k),s),a(k,a(k,s))),A)=s.
% 3.12/3.33  548 [new_demod,547] a(a(a(a(s,a(s,a(s,s))),k),k),A)=k.
% 3.12/3.33  552 [new_demod,551] a(a(a(s,a(s,a(a(s,a(s,s)),k))),k),A)=A.
% 3.12/3.33  554 [new_demod,553] a(a(a(s,a(a(s,a(s,a(s,s))),k)),A),k)=k.
% 3.12/3.33  556 [new_demod,555] a(a(a(s,a(a(s,a(s,s)),k)),A),a(k,B))=B.
% 3.12/3.33  558 [new_demod,557] a(a(a(s,a(s,a(s,a(a(s,s),A)))),k),k)=k.
% 3.12/3.33  560 [new_demod,559] a(a(a(s,a(a(s,a(k,k)),A)),B),C)=a(A,C).
% 3.12/3.33  end_of_list.
% 3.12/3.33  
% 3.12/3.33  
% 3.12/3.33  -------------- statistics -------------
% 3.12/3.33  clauses given                354
% 3.12/3.33  clauses generated         162148
% 3.12/3.33  clauses kept                 396
% 3.12/3.33  clauses forward subsumed    4954
% 3.12/3.33  clauses back subsumed         25
% 3.12/3.33  Kbytes malloced             8789
% 3.12/3.33  
% 3.12/3.33  ----------- times (seconds) -----------
% 3.12/3.33  user CPU time          1.53          (0 hr, 0 min, 1 sec)
% 3.12/3.33  system CPU time        0.01          (0 hr, 0 min, 0 sec)
% 3.12/3.33  wall-clock time        3             (0 hr, 0 min, 3 sec)
% 3.12/3.33  
% 3.12/3.33  Process 29982 finished Wed Jul 27 02:44:40 2022
% 3.12/3.33  Otter interrupted
% 3.12/3.33  PROOF NOT FOUND
%------------------------------------------------------------------------------