TSTP Solution File: GRP258-1 by Otter---3.3

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Otter---3.3
% Problem  : GRP258-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : otter-tptp-script %s

% Computer : n009.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 12:56:47 EDT 2022

% Result   : Timeout 299.91s 300.06s
% Output   : None 
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : GRP258-1 : TPTP v8.1.0. Released v2.5.0.
% 0.03/0.13  % Command  : otter-tptp-script %s
% 0.13/0.33  % Computer : n009.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 300
% 0.13/0.33  % DateTime : Wed Jul 27 05:11:21 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 1.99/2.18  ----- Otter 3.3f, August 2004 -----
% 1.99/2.18  The process was started by sandbox on n009.cluster.edu,
% 1.99/2.18  Wed Jul 27 05:11:21 2022
% 1.99/2.18  The command was "./otter".  The process ID is 7293.
% 1.99/2.18  
% 1.99/2.18  set(prolog_style_variables).
% 1.99/2.18  set(auto).
% 1.99/2.18     dependent: set(auto1).
% 1.99/2.18     dependent: set(process_input).
% 1.99/2.18     dependent: clear(print_kept).
% 1.99/2.18     dependent: clear(print_new_demod).
% 1.99/2.18     dependent: clear(print_back_demod).
% 1.99/2.18     dependent: clear(print_back_sub).
% 1.99/2.18     dependent: set(control_memory).
% 1.99/2.18     dependent: assign(max_mem, 12000).
% 1.99/2.18     dependent: assign(pick_given_ratio, 4).
% 1.99/2.18     dependent: assign(stats_level, 1).
% 1.99/2.18     dependent: assign(max_seconds, 10800).
% 1.99/2.18  clear(print_given).
% 1.99/2.18  
% 1.99/2.18  list(usable).
% 1.99/2.18  0 [] A=A.
% 1.99/2.18  0 [] multiply(identity,X)=X.
% 1.99/2.18  0 [] multiply(inverse(X),X)=identity.
% 1.99/2.18  0 [] multiply(multiply(X,Y),Z)=multiply(X,multiply(Y,Z)).
% 1.99/2.18  0 [] multiply(sk_c1,sk_c12)=sk_c11|multiply(sk_c4,sk_c12)=sk_c11.
% 1.99/2.18  0 [] multiply(sk_c1,sk_c12)=sk_c11|inverse(sk_c4)=sk_c12.
% 1.99/2.18  0 [] multiply(sk_c1,sk_c12)=sk_c11|multiply(sk_c5,sk_c11)=sk_c10.
% 1.99/2.18  0 [] multiply(sk_c1,sk_c12)=sk_c11|inverse(sk_c5)=sk_c11.
% 1.99/2.18  0 [] multiply(sk_c1,sk_c12)=sk_c11|multiply(sk_c6,sk_c9)=sk_c12.
% 1.99/2.18  0 [] multiply(sk_c1,sk_c12)=sk_c11|inverse(sk_c6)=sk_c9.
% 1.99/2.18  0 [] multiply(sk_c1,sk_c12)=sk_c11|multiply(sk_c9,sk_c11)=sk_c12.
% 1.99/2.18  0 [] multiply(sk_c1,sk_c12)=sk_c11|inverse(sk_c8)=sk_c7.
% 1.99/2.18  0 [] multiply(sk_c1,sk_c12)=sk_c11|inverse(sk_c7)=sk_c9.
% 1.99/2.18  0 [] multiply(sk_c1,sk_c12)=sk_c11|multiply(sk_c8,sk_c9)=sk_c7.
% 1.99/2.18  0 [] inverse(sk_c1)=sk_c12|multiply(sk_c4,sk_c12)=sk_c11.
% 1.99/2.18  0 [] inverse(sk_c1)=sk_c12|inverse(sk_c4)=sk_c12.
% 1.99/2.18  0 [] inverse(sk_c1)=sk_c12|multiply(sk_c5,sk_c11)=sk_c10.
% 1.99/2.18  0 [] inverse(sk_c1)=sk_c12|inverse(sk_c5)=sk_c11.
% 1.99/2.18  0 [] inverse(sk_c1)=sk_c12|multiply(sk_c6,sk_c9)=sk_c12.
% 1.99/2.18  0 [] inverse(sk_c1)=sk_c12|inverse(sk_c6)=sk_c9.
% 1.99/2.18  0 [] inverse(sk_c1)=sk_c12|multiply(sk_c9,sk_c11)=sk_c12.
% 1.99/2.18  0 [] inverse(sk_c1)=sk_c12|inverse(sk_c8)=sk_c7.
% 1.99/2.18  0 [] inverse(sk_c1)=sk_c12|inverse(sk_c7)=sk_c9.
% 1.99/2.18  0 [] inverse(sk_c1)=sk_c12|multiply(sk_c8,sk_c9)=sk_c7.
% 1.99/2.18  0 [] multiply(sk_c2,sk_c11)=sk_c10|multiply(sk_c4,sk_c12)=sk_c11.
% 1.99/2.18  0 [] multiply(sk_c2,sk_c11)=sk_c10|inverse(sk_c4)=sk_c12.
% 1.99/2.18  0 [] multiply(sk_c2,sk_c11)=sk_c10|multiply(sk_c5,sk_c11)=sk_c10.
% 1.99/2.18  0 [] multiply(sk_c2,sk_c11)=sk_c10|inverse(sk_c5)=sk_c11.
% 1.99/2.18  0 [] multiply(sk_c2,sk_c11)=sk_c10|multiply(sk_c6,sk_c9)=sk_c12.
% 1.99/2.18  0 [] multiply(sk_c2,sk_c11)=sk_c10|inverse(sk_c6)=sk_c9.
% 1.99/2.18  0 [] multiply(sk_c2,sk_c11)=sk_c10|multiply(sk_c9,sk_c11)=sk_c12.
% 1.99/2.18  0 [] multiply(sk_c2,sk_c11)=sk_c10|inverse(sk_c8)=sk_c7.
% 1.99/2.18  0 [] multiply(sk_c2,sk_c11)=sk_c10|inverse(sk_c7)=sk_c9.
% 1.99/2.18  0 [] multiply(sk_c2,sk_c11)=sk_c10|multiply(sk_c8,sk_c9)=sk_c7.
% 1.99/2.18  0 [] inverse(sk_c2)=sk_c11|multiply(sk_c4,sk_c12)=sk_c11.
% 1.99/2.18  0 [] inverse(sk_c2)=sk_c11|inverse(sk_c4)=sk_c12.
% 1.99/2.18  0 [] inverse(sk_c2)=sk_c11|multiply(sk_c5,sk_c11)=sk_c10.
% 1.99/2.18  0 [] inverse(sk_c2)=sk_c11|inverse(sk_c5)=sk_c11.
% 1.99/2.18  0 [] inverse(sk_c2)=sk_c11|multiply(sk_c6,sk_c9)=sk_c12.
% 1.99/2.18  0 [] inverse(sk_c2)=sk_c11|inverse(sk_c6)=sk_c9.
% 1.99/2.18  0 [] inverse(sk_c2)=sk_c11|multiply(sk_c9,sk_c11)=sk_c12.
% 1.99/2.18  0 [] inverse(sk_c2)=sk_c11|inverse(sk_c8)=sk_c7.
% 1.99/2.18  0 [] inverse(sk_c2)=sk_c11|inverse(sk_c7)=sk_c9.
% 1.99/2.18  0 [] inverse(sk_c2)=sk_c11|multiply(sk_c8,sk_c9)=sk_c7.
% 1.99/2.18  0 [] multiply(sk_c10,sk_c12)=sk_c11|multiply(sk_c4,sk_c12)=sk_c11.
% 1.99/2.18  0 [] multiply(sk_c10,sk_c12)=sk_c11|inverse(sk_c4)=sk_c12.
% 1.99/2.18  0 [] multiply(sk_c10,sk_c12)=sk_c11|multiply(sk_c5,sk_c11)=sk_c10.
% 1.99/2.18  0 [] multiply(sk_c10,sk_c12)=sk_c11|inverse(sk_c5)=sk_c11.
% 1.99/2.18  0 [] multiply(sk_c10,sk_c12)=sk_c11|multiply(sk_c6,sk_c9)=sk_c12.
% 1.99/2.18  0 [] multiply(sk_c10,sk_c12)=sk_c11|inverse(sk_c6)=sk_c9.
% 1.99/2.18  0 [] multiply(sk_c10,sk_c12)=sk_c11|multiply(sk_c9,sk_c11)=sk_c12.
% 1.99/2.18  0 [] multiply(sk_c10,sk_c12)=sk_c11|inverse(sk_c8)=sk_c7.
% 1.99/2.18  0 [] multiply(sk_c10,sk_c12)=sk_c11|inverse(sk_c7)=sk_c9.
% 1.99/2.18  0 [] multiply(sk_c10,sk_c12)=sk_c11|multiply(sk_c8,sk_c9)=sk_c7.
% 1.99/2.18  0 [] multiply(sk_c3,sk_c10)=sk_c12|multiply(sk_c4,sk_c12)=sk_c11.
% 1.99/2.18  0 [] multiply(sk_c3,sk_c10)=sk_c12|inverse(sk_c4)=sk_c12.
% 1.99/2.18  0 [] multiply(sk_c3,sk_c10)=sk_c12|multiply(sk_c5,sk_c11)=sk_c10.
% 1.99/2.18  0 [] multiply(sk_c3,sk_c10)=sk_c12|inverse(sk_c5)=sk_c11.
% 1.99/2.18  0 [] multiply(sk_c3,sk_c10)=sk_c12|multiply(sk_c6,sk_c9)=sk_c12.
% 1.99/2.18  0 [] multiply(sk_c3,sk_c10)=sk_c12|inverse(sk_c6)=sk_c9.
% 1.99/2.18  0 [] multiply(sk_c3,sk_c10)=sk_c12|multiply(sk_c9,sk_c11)=sk_c12.
% 1.99/2.19  0 [] multiply(sk_c3,sk_c10)=sk_c12|inverse(sk_c8)=sk_c7.
% 1.99/2.19  0 [] multiply(sk_c3,sk_c10)=sk_c12|inverse(sk_c7)=sk_c9.
% 1.99/2.19  0 [] multiply(sk_c3,sk_c10)=sk_c12|multiply(sk_c8,sk_c9)=sk_c7.
% 1.99/2.19  0 [] inverse(sk_c3)=sk_c10|multiply(sk_c4,sk_c12)=sk_c11.
% 1.99/2.19  0 [] inverse(sk_c3)=sk_c10|inverse(sk_c4)=sk_c12.
% 1.99/2.19  0 [] inverse(sk_c3)=sk_c10|multiply(sk_c5,sk_c11)=sk_c10.
% 1.99/2.19  0 [] inverse(sk_c3)=sk_c10|inverse(sk_c5)=sk_c11.
% 1.99/2.19  0 [] inverse(sk_c3)=sk_c10|multiply(sk_c6,sk_c9)=sk_c12.
% 1.99/2.19  0 [] inverse(sk_c3)=sk_c10|inverse(sk_c6)=sk_c9.
% 1.99/2.19  0 [] inverse(sk_c3)=sk_c10|multiply(sk_c9,sk_c11)=sk_c12.
% 1.99/2.19  0 [] inverse(sk_c3)=sk_c10|inverse(sk_c8)=sk_c7.
% 1.99/2.19  0 [] inverse(sk_c3)=sk_c10|inverse(sk_c7)=sk_c9.
% 1.99/2.19  0 [] inverse(sk_c3)=sk_c10|multiply(sk_c8,sk_c9)=sk_c7.
% 1.99/2.19  0 [] multiply(X4,sk_c12)!=sk_c11|inverse(X4)!=sk_c12|multiply(X5,sk_c11)!=sk_c10|inverse(X5)!=sk_c11|multiply(sk_c10,sk_c12)!=sk_c11|multiply(X6,sk_c10)!=sk_c12|inverse(X6)!=sk_c10|multiply(X1,sk_c12)!=sk_c11|inverse(X1)!=sk_c12|multiply(X2,sk_c11)!=sk_c10|inverse(X2)!=sk_c11|multiply(X7,X3)!=sk_c12|inverse(X7)!=X3|multiply(X3,sk_c11)!=sk_c12|inverse(X8)!=X9|inverse(X9)!=X3|multiply(X8,X3)!=X9.
% 1.99/2.19  end_of_list.
% 1.99/2.19  
% 1.99/2.19  SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=17.
% 1.99/2.19  
% 1.99/2.19  This ia a non-Horn set with equality.  The strategy will be
% 1.99/2.19  Knuth-Bendix, ordered hyper_res, factoring, and unit
% 1.99/2.19  deletion, with positive clauses in sos and nonpositive
% 1.99/2.19  clauses in usable.
% 1.99/2.19  
% 1.99/2.19     dependent: set(knuth_bendix).
% 1.99/2.19     dependent: set(anl_eq).
% 1.99/2.19     dependent: set(para_from).
% 1.99/2.19     dependent: set(para_into).
% 1.99/2.19     dependent: clear(para_from_right).
% 1.99/2.19     dependent: clear(para_into_right).
% 1.99/2.19     dependent: set(para_from_vars).
% 1.99/2.19     dependent: set(eq_units_both_ways).
% 1.99/2.19     dependent: set(dynamic_demod_all).
% 1.99/2.19     dependent: set(dynamic_demod).
% 1.99/2.19     dependent: set(order_eq).
% 1.99/2.19     dependent: set(back_demod).
% 1.99/2.19     dependent: set(lrpo).
% 1.99/2.19     dependent: set(hyper_res).
% 1.99/2.19     dependent: set(unit_deletion).
% 1.99/2.19     dependent: set(factor).
% 1.99/2.19  
% 1.99/2.19  ------------> process usable:
% 1.99/2.19  ** KEPT (pick-wt=59): 2 [copy,1,factor_simp,factor_simp,factor_simp,factor_simp] multiply(A,sk_c12)!=sk_c11|inverse(A)!=sk_c12|multiply(B,sk_c11)!=sk_c10|inverse(B)!=sk_c11|multiply(sk_c10,sk_c12)!=sk_c11|multiply(C,sk_c10)!=sk_c12|inverse(C)!=sk_c10|multiply(D,E)!=sk_c12|inverse(D)!=E|multiply(E,sk_c11)!=sk_c12|inverse(F)!=G|inverse(G)!=E|multiply(F,E)!=G.
% 1.99/2.19  79 back subsumes 68.
% 1.99/2.19  93 back subsumes 74.
% 1.99/2.19  
% 1.99/2.19  ------------> process sos:
% 1.99/2.19  ** KEPT (pick-wt=3): 217 [] A=A.
% 1.99/2.19  ** KEPT (pick-wt=5): 218 [] multiply(identity,A)=A.
% 1.99/2.19  ---> New Demodulator: 219 [new_demod,218] multiply(identity,A)=A.
% 1.99/2.19  ** KEPT (pick-wt=6): 220 [] multiply(inverse(A),A)=identity.
% 1.99/2.19  ---> New Demodulator: 221 [new_demod,220] multiply(inverse(A),A)=identity.
% 1.99/2.19  ** KEPT (pick-wt=11): 222 [] multiply(multiply(A,B),C)=multiply(A,multiply(B,C)).
% 1.99/2.19  ---> New Demodulator: 223 [new_demod,222] multiply(multiply(A,B),C)=multiply(A,multiply(B,C)).
% 1.99/2.19  ** KEPT (pick-wt=10): 224 [] multiply(sk_c1,sk_c12)=sk_c11|multiply(sk_c4,sk_c12)=sk_c11.
% 1.99/2.19  ** KEPT (pick-wt=9): 225 [] multiply(sk_c1,sk_c12)=sk_c11|inverse(sk_c4)=sk_c12.
% 1.99/2.19  ** KEPT (pick-wt=10): 226 [] multiply(sk_c1,sk_c12)=sk_c11|multiply(sk_c5,sk_c11)=sk_c10.
% 1.99/2.19  ** KEPT (pick-wt=9): 227 [] multiply(sk_c1,sk_c12)=sk_c11|inverse(sk_c5)=sk_c11.
% 1.99/2.19  ** KEPT (pick-wt=10): 228 [] multiply(sk_c1,sk_c12)=sk_c11|multiply(sk_c6,sk_c9)=sk_c12.
% 1.99/2.19  ** KEPT (pick-wt=9): 229 [] multiply(sk_c1,sk_c12)=sk_c11|inverse(sk_c6)=sk_c9.
% 1.99/2.19  ** KEPT (pick-wt=10): 230 [] multiply(sk_c1,sk_c12)=sk_c11|multiply(sk_c9,sk_c11)=sk_c12.
% 1.99/2.19  ** KEPT (pick-wt=9): 231 [] multiply(sk_c1,sk_c12)=sk_c11|inverse(sk_c8)=sk_c7.
% 1.99/2.19  ** KEPT (pick-wt=9): 232 [] multiply(sk_c1,sk_c12)=sk_c11|inverse(sk_c7)=sk_c9.
% 1.99/2.19  ** KEPT (pick-wt=10): 233 [] multiply(sk_c1,sk_c12)=sk_c11|multiply(sk_c8,sk_c9)=sk_c7.
% 1.99/2.19  ** KEPT (pick-wt=9): 234 [] inverse(sk_c1)=sk_c12|multiply(sk_c4,sk_c12)=sk_c11.
% 1.99/2.19  ** KEPT (pick-wt=8): 235 [] inverse(sk_c1)=sk_c12|inverse(sk_c4)=sk_c12.
% 1.99/2.19  ** KEPT (pick-wt=9): 236 [] inverse(sk_c1)=sk_c12|multiply(sk_c5,sk_c11)=sk_c10.
% 1.99/2.19  ** KEPT (pick-wt=8): 237 [] inverse(sk_c1)=sk_c12|inverse(sk_c5)=sk_c11.
% 1.99/2.19  ** KEPT (pick-wt=9): 238 [] inverse(sk_c1)=sk_c12|multiply(sk_c6,sk_c9)=sk_c12.
% 1.99/2.19  ** KEPT (pick-wt=8): 239 [] inverse(sk_c1)=sk_c12|inverse(sk_c6)=sk_c9.
% 1.99/2.19  ** KEPT (pick-wt=9): 240 [] inverse(sk_c1)=sk_c12|multiply(sk_c9,sk_c11)=sk_c12.
% 1.99/2.19  ** KEPT (pick-wt=8): 241 [] inverse(sk_c1)=sk_c12|inverse(sk_c8)=sk_c7.
% 1.99/2.19  ** KEPT (pick-wt=8): 242 [] inverse(sk_c1)=sk_c12|inverse(sk_c7)=sk_c9.
% 1.99/2.19  ** KEPT (pick-wt=9): 243 [] inverse(sk_c1)=sk_c12|multiply(sk_c8,sk_c9)=sk_c7.
% 1.99/2.19  ** KEPT (pick-wt=10): 244 [] multiply(sk_c2,sk_c11)=sk_c10|multiply(sk_c4,sk_c12)=sk_c11.
% 1.99/2.19  ** KEPT (pick-wt=9): 245 [] multiply(sk_c2,sk_c11)=sk_c10|inverse(sk_c4)=sk_c12.
% 1.99/2.19  ** KEPT (pick-wt=10): 246 [] multiply(sk_c2,sk_c11)=sk_c10|multiply(sk_c5,sk_c11)=sk_c10.
% 1.99/2.19  ** KEPT (pick-wt=9): 247 [] multiply(sk_c2,sk_c11)=sk_c10|inverse(sk_c5)=sk_c11.
% 1.99/2.19  ** KEPT (pick-wt=10): 248 [] multiply(sk_c2,sk_c11)=sk_c10|multiply(sk_c6,sk_c9)=sk_c12.
% 1.99/2.19  ** KEPT (pick-wt=9): 249 [] multiply(sk_c2,sk_c11)=sk_c10|inverse(sk_c6)=sk_c9.
% 1.99/2.19  ** KEPT (pick-wt=10): 250 [] multiply(sk_c2,sk_c11)=sk_c10|multiply(sk_c9,sk_c11)=sk_c12.
% 1.99/2.19  ** KEPT (pick-wt=9): 251 [] multiply(sk_c2,sk_c11)=sk_c10|inverse(sk_c8)=sk_c7.
% 1.99/2.19  ** KEPT (pick-wt=9): 252 [] multiply(sk_c2,sk_c11)=sk_c10|inverse(sk_c7)=sk_c9.
% 1.99/2.19  ** KEPT (pick-wt=10): 253 [] multiply(sk_c2,sk_c11)=sk_c10|multiply(sk_c8,sk_c9)=sk_c7.
% 1.99/2.19  ** KEPT (pick-wt=9): 254 [] inverse(sk_c2)=sk_c11|multiply(sk_c4,sk_c12)=sk_c11.
% 1.99/2.19  ** KEPT (pick-wt=8): 255 [] inverse(sk_c2)=sk_c11|inverse(sk_c4)=sk_c12.
% 1.99/2.19  ** KEPT (pick-wt=9): 256 [] inverse(sk_c2)=sk_c11|multiply(sk_c5,sk_c11)=sk_c10.
% 1.99/2.19  ** KEPT (pick-wt=8): 257 [] inverse(sk_c2)=sk_c11|inverse(sk_c5)=sk_c11.
% 1.99/2.19  ** KEPT (pick-wt=9): 258 [] inverse(sk_c2)=sk_c11|multiply(sk_c6,sk_c9)=sk_c12.
% 1.99/2.19  ** KEPT (pick-wt=8): 259 [] inverse(sk_c2)=sk_c11|inverse(sk_c6)=sk_c9.
% 1.99/2.19  ** KEPT (pick-wt=9): 260 [] inverse(sk_c2)=sk_c11|multiply(sk_c9,sk_c11)=sk_c12.
% 1.99/2.19  ** KEPT (pick-wt=8): 261 [] inverse(sk_c2)=sk_c11|inverse(sk_c8)=sk_c7.
% 1.99/2.19  ** KEPT (pick-wt=8): 262 [] inverse(sk_c2)=sk_c11|inverse(sk_c7)=sk_c9.
% 1.99/2.19  ** KEPT (pick-wt=9): 263 [] inverse(sk_c2)=sk_c11|multiply(sk_c8,sk_c9)=sk_c7.
% 1.99/2.19  ** KEPT (pick-wt=10): 264 [] multiply(sk_c10,sk_c12)=sk_c11|multiply(sk_c4,sk_c12)=sk_c11.
% 1.99/2.19  ** KEPT (pick-wt=9): 265 [] multiply(sk_c10,sk_c12)=sk_c11|inverse(sk_c4)=sk_c12.
% 1.99/2.19  ** KEPT (pick-wt=10): 266 [] multiply(sk_c10,sk_c12)=sk_c11|multiply(sk_c5,sk_c11)=sk_c10.
% 1.99/2.19  ** KEPT (pick-wt=9): 267 [] multiply(sk_c10,sk_c12)=sk_c11|inverse(sk_c5)=sk_c11.
% 1.99/2.19  ** KEPT (pick-wt=10): 268 [] multiply(sk_c10,sk_c12)=sk_c11|multiply(sk_c6,sk_c9)=sk_c12.
% 1.99/2.19  ** KEPT (pick-wt=9): 269 [] multiply(sk_c10,sk_c12)=sk_c11|inverse(sk_c6)=sk_c9.
% 1.99/2.19  ** KEPT (pick-wt=10): 270 [] multiply(sk_c10,sk_c12)=sk_c11|multiply(sk_c9,sk_c11)=sk_c12.
% 1.99/2.19  ** KEPT (pick-wt=9): 271 [] multiply(sk_c10,sk_c12)=sk_c11|inverse(sk_c8)=sk_c7.
% 1.99/2.19  ** KEPT (pick-wt=9): 272 [] multiply(sk_c10,sk_c12)=sk_c11|inverse(sk_c7)=sk_c9.
% 1.99/2.19  ** KEPT (pick-wt=10): 273 [] multiply(sk_c10,sk_c12)=sk_c11|multiply(sk_c8,sk_c9)=sk_c7.
% 1.99/2.19  ** KEPT (pick-wt=10): 274 [] multiply(sk_c3,sk_c10)=sk_c12|multiply(sk_c4,sk_c12)=sk_c11.
% 1.99/2.19  ** KEPT (pick-wt=9): 275 [] multiply(sk_c3,sk_c10)=sk_c12|inverse(sk_c4)=sk_c12.
% 1.99/2.19  ** KEPT (pick-wt=10): 276 [] multiply(sk_c3,sk_c10)=sk_c12|multiply(sk_c5,sk_c11)=sk_c10.
% 1.99/2.19  ** KEPT (pick-wt=9): 277 [] multiply(sk_c3,sk_c10)=sk_c12|inverse(sk_c5)=sk_c11.
% 1.99/2.19  ** KEPT (pick-wt=10): 278 [] multiply(sk_c3,sk_c10)=sk_c12|multiply(sk_c6,sk_c9)=sk_c12.
% 1.99/2.19  ** KEPT (pick-wt=9): 279 [] multiply(sk_c3,sk_c10)=sk_c12|inverse(sk_c6)=sk_c9.
% 1.99/2.19  ** KEPT (pick-wt=10): 280 [] multiply(sk_c3,sk_c10)=sk_c12|multiply(sk_c9,sk_c11)=sk_c12.
% 1.99/2.19  ** KEPT (pick-wt=9): 281 [] multiply(sk_c3,sk_c10)=sk_c12|inverse(sk_c8)=sk_c7.
% 1.99/2.19  ** KEPT (pick-wt=9): 282 [] multiply(sk_c3,sk_c10)=sk_c12|inverse(sk_c7)=sk_c9.
% 1.99/2.19  ** KEPT (pick-wt=10): 283 [] multiply(sk_c3,sk_c10)=sk_c12|multiply(sk_c8,sk_c9)=sk_c7.
% 1.99/2.19  ** KEPT (pick-wt=9): 284 [] inverse(sk_c3)=sk_c10|multiply(sk_c4,sk_c12)=sk_c11.
% 1.99/2.19  ** KEPT (pick-wt=8): 285 [] inverse(sk_c3)=sk_c10|inverse(sk_c4)=sk_c12.
% 1.99/2.19  ** KEPT (pick-wt=9): 286 [] inverse(sk_c3)=sk_c10|multiply(sk_c5,sk_c11)=sk_c10.
% 1.99/2.19  ** KEPT (pick-wt=8): 287 [] inverse(sk_c3)=sk_c10|inverse(sk_c5)=sk_c11.
% 1.99/2.19  ** KEPT (pick-wt=9): 288 [] inverse(sk_c3)=sk_c10|multiply(sk_c6,sk_c9)=sk_c12.
% 1.99/2.19  ** KEPAlarm clock 
% 299.91/300.06  Otter interrupted
% 299.91/300.06  PROOF NOT FOUND
%------------------------------------------------------------------------------