TSTP Solution File: GRP667+1 by Otter---3.3

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Otter---3.3
% Problem  : GRP667+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : otter-tptp-script %s

% Computer : n025.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Jul 27 12:57:37 EDT 2022

% Result   : Unknown 6.75s 6.96s
% Output   : None 
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem  : GRP667+1 : TPTP v8.1.0. Released v4.0.0.
% 0.06/0.12  % Command  : otter-tptp-script %s
% 0.12/0.33  % Computer : n025.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 300
% 0.12/0.33  % DateTime : Wed Jul 27 05:16:15 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 1.94/2.13  ----- Otter 3.3f, August 2004 -----
% 1.94/2.13  The process was started by sandbox2 on n025.cluster.edu,
% 1.94/2.13  Wed Jul 27 05:16:15 2022
% 1.94/2.13  The command was "./otter".  The process ID is 13680.
% 1.94/2.13  
% 1.94/2.13  set(prolog_style_variables).
% 1.94/2.13  set(auto).
% 1.94/2.13     dependent: set(auto1).
% 1.94/2.13     dependent: set(process_input).
% 1.94/2.13     dependent: clear(print_kept).
% 1.94/2.13     dependent: clear(print_new_demod).
% 1.94/2.13     dependent: clear(print_back_demod).
% 1.94/2.13     dependent: clear(print_back_sub).
% 1.94/2.13     dependent: set(control_memory).
% 1.94/2.13     dependent: assign(max_mem, 12000).
% 1.94/2.13     dependent: assign(pick_given_ratio, 4).
% 1.94/2.13     dependent: assign(stats_level, 1).
% 1.94/2.13     dependent: assign(max_seconds, 10800).
% 1.94/2.13  clear(print_given).
% 1.94/2.13  
% 1.94/2.13  formula_list(usable).
% 1.94/2.13  all A (A=A).
% 1.94/2.13  all B A (mult(A,ld(A,B))=B).
% 1.94/2.13  all B A (ld(A,mult(A,B))=B).
% 1.94/2.13  all B A (mult(rd(A,B),B)=A).
% 1.94/2.13  all B A (rd(mult(A,B),B)=A).
% 1.94/2.13  all A (mult(A,unit)=A).
% 1.94/2.13  all A (mult(unit,A)=A).
% 1.94/2.13  all C B A (mult(mult(A,B),mult(mult(C,B),C))=mult(mult(A,mult(mult(B,C),B)),C)).
% 1.94/2.13  all B A (mult(mult(A,B),A)=mult(A,mult(B,A))).
% 1.94/2.13  all A (mult(f(A),f(A))=A).
% 1.94/2.13  all X0 X1 X2 (mult(X0,mult(X1,mult(X2,X1)))=mult(mult(mult(X0,X1),X2),X1)->mult(X1,mult(X0,mult(X1,X2)))=mult(mult(mult(X1,X0),X1),X2)).
% 1.94/2.13  all X3 X4 X5 (mult(mult(X3,X4),mult(X5,X3))=mult(mult(X3,mult(X4,X5)),X3)->mult(X3,mult(X4,mult(X3,X5)))=mult(mult(mult(X3,X4),X3),X5)).
% 1.94/2.13  all X6 X7 X8 (mult(mult(X6,X7),mult(X8,X6))=mult(X6,mult(mult(X7,X8),X6))->mult(X6,mult(X7,mult(X6,X8)))=mult(mult(mult(X6,X7),X6),X8)).
% 1.94/2.13  mult(a,mult(b,mult(a,c)))!=mult(mult(mult(a,b),a),c).
% 1.94/2.13  end_of_list.
% 1.94/2.13  
% 1.94/2.13  -------> usable clausifies to:
% 1.94/2.13  
% 1.94/2.13  list(usable).
% 1.94/2.13  0 [] A=A.
% 1.94/2.13  0 [] mult(A,ld(A,B))=B.
% 1.94/2.13  0 [] ld(A,mult(A,B))=B.
% 1.94/2.13  0 [] mult(rd(A,B),B)=A.
% 1.94/2.13  0 [] rd(mult(A,B),B)=A.
% 1.94/2.13  0 [] mult(A,unit)=A.
% 1.94/2.13  0 [] mult(unit,A)=A.
% 1.94/2.13  0 [] mult(mult(A,B),mult(mult(C,B),C))=mult(mult(A,mult(mult(B,C),B)),C).
% 1.94/2.13  0 [] mult(mult(A,B),A)=mult(A,mult(B,A)).
% 1.94/2.13  0 [] mult(f(A),f(A))=A.
% 1.94/2.13  0 [] mult(X0,mult(X1,mult(X2,X1)))!=mult(mult(mult(X0,X1),X2),X1)|mult(X1,mult(X0,mult(X1,X2)))=mult(mult(mult(X1,X0),X1),X2).
% 1.94/2.13  0 [] mult(mult(X3,X4),mult(X5,X3))!=mult(mult(X3,mult(X4,X5)),X3)|mult(X3,mult(X4,mult(X3,X5)))=mult(mult(mult(X3,X4),X3),X5).
% 1.94/2.13  0 [] mult(mult(X6,X7),mult(X8,X6))!=mult(X6,mult(mult(X7,X8),X6))|mult(X6,mult(X7,mult(X6,X8)))=mult(mult(mult(X6,X7),X6),X8).
% 1.94/2.13  0 [] mult(a,mult(b,mult(a,c)))!=mult(mult(mult(a,b),a),c).
% 1.94/2.13  end_of_list.
% 1.94/2.13  
% 1.94/2.13  SCAN INPUT: prop=0, horn=1, equality=1, symmetry=0, max_lits=2.
% 1.94/2.13  
% 1.94/2.13  This is a Horn set with equality.  The strategy will be
% 1.94/2.13  Knuth-Bendix and hyper_res, with positive clauses in
% 1.94/2.13  sos and nonpositive clauses in usable.
% 1.94/2.13  
% 1.94/2.13     dependent: set(knuth_bendix).
% 1.94/2.13     dependent: set(anl_eq).
% 1.94/2.13     dependent: set(para_from).
% 1.94/2.13     dependent: set(para_into).
% 1.94/2.13     dependent: clear(para_from_right).
% 1.94/2.13     dependent: clear(para_into_right).
% 1.94/2.13     dependent: set(para_from_vars).
% 1.94/2.13     dependent: set(eq_units_both_ways).
% 1.94/2.13     dependent: set(dynamic_demod_all).
% 1.94/2.13     dependent: set(dynamic_demod).
% 1.94/2.13     dependent: set(order_eq).
% 1.94/2.13     dependent: set(back_demod).
% 1.94/2.13     dependent: set(lrpo).
% 1.94/2.13     dependent: set(hyper_res).
% 1.94/2.13     dependent: clear(order_hyper).
% 1.94/2.13  
% 1.94/2.13  ------------> process usable:
% 1.94/2.13  ** KEPT (pick-wt=30): 2 [copy,1,flip.1,flip.2] mult(mult(mult(A,B),C),B)!=mult(A,mult(B,mult(C,B)))|mult(mult(mult(B,A),B),C)=mult(B,mult(A,mult(B,C))).
% 1.94/2.13  ** KEPT (pick-wt=30): 4 [copy,3,flip.1,flip.2] mult(mult(A,mult(B,C)),A)!=mult(mult(A,B),mult(C,A))|mult(mult(mult(A,B),A),C)=mult(A,mult(B,mult(A,C))).
% 1.94/2.13  ** KEPT (pick-wt=30): 6 [copy,5,flip.2] mult(mult(A,B),mult(C,A))!=mult(A,mult(mult(B,C),A))|mult(mult(mult(A,B),A),C)=mult(A,mult(B,mult(A,C))).
% 1.94/2.13  ** KEPT (pick-wt=15): 8 [copy,7,flip.1] mult(mult(mult(a,b),a),c)!=mult(a,mult(b,mult(a,c))).
% 1.94/2.13  
% 1.94/2.13  ------------> process sos:
% 1.94/2.13  ** KEPT (pick-wt=3): 9 [] A=A.
% 1.94/2.13  ** KEPT (pick-wt=7): 10 [] mult(A,ld(A,B))=B.
% 1.94/2.13  ---> New Demodulator: 11 [new_demod,10] mult(A,ld(A,B))=B.
% 1.94/2.13  ** KEPT (pick-wt=7): 12 [] ld(A,mult(A,B))=B.
% 1.94/2.13  ---> New Demodulator: 13 [new_demod,12] ld(A,mult(A,B))=B.
% 1.94/2.13  ** KEPT (pick-wt=7): 14 [] mult(rd(A,B),B)=A.
% 1.94/2.13  ---> New Demodulator: 15 [new_demod,14] mult(rd(A,B),B)=A.
% 1.94/2.13  ** KEPT (pick-wt=7): 16 [] rd(mult(A,B),B)=A.
% 1.94/2.13  ---> New Demodulator: 17 [new_demod,16] rd(mult(A,B),B)=A.
% 1.94/2.13  ** KEPT (pick-wt=5): 18 [] mult(A,unit)=A.
% 1.94/2.13  ---> New Demodulator: 19 [new_demod,18] mult(A,unit)=A.
% 6.75/6.96  ** KEPT (pick-wt=5): 20 [] mult(unit,A)=A.
% 6.75/6.96  ---> New Demodulator: 21 [new_demod,20] mult(unit,A)=A.
% 6.75/6.96  ** KEPT (pick-wt=19): 23 [copy,22,flip.1] mult(mult(A,mult(mult(B,C),B)),C)=mult(mult(A,B),mult(mult(C,B),C)).
% 6.75/6.96  ---> New Demodulator: 24 [new_demod,23] mult(mult(A,mult(mult(B,C),B)),C)=mult(mult(A,B),mult(mult(C,B),C)).
% 6.75/6.96  ** KEPT (pick-wt=11): 25 [] mult(mult(A,B),A)=mult(A,mult(B,A)).
% 6.75/6.96  ---> New Demodulator: 26 [new_demod,25] mult(mult(A,B),A)=mult(A,mult(B,A)).
% 6.75/6.96  ** KEPT (pick-wt=7): 27 [] mult(f(A),f(A))=A.
% 6.75/6.96  ---> New Demodulator: 28 [new_demod,27] mult(f(A),f(A))=A.
% 6.75/6.96    Following clause subsumed by 9 during input processing: 0 [copy,9,flip.1] A=A.
% 6.75/6.96  >>>> Starting back demodulation with 11.
% 6.75/6.96  >>>> Starting back demodulation with 13.
% 6.75/6.96  >>>> Starting back demodulation with 15.
% 6.75/6.96  >>>> Starting back demodulation with 17.
% 6.75/6.96  >>>> Starting back demodulation with 19.
% 6.75/6.96  >>>> Starting back demodulation with 21.
% 6.75/6.96  >>>> Starting back demodulation with 24.
% 6.75/6.96  >>>> Starting back demodulation with 26.
% 6.75/6.96      >> back demodulating 23 with 26.
% 6.75/6.96      >> back demodulating 8 with 26.
% 6.75/6.96      >> back demodulating 6 with 26.
% 6.75/6.96      >> back demodulating 4 with 26.
% 6.75/6.96      >> back demodulating 2 with 26.
% 6.75/6.96  >>>> Starting back demodulation with 28.
% 6.75/6.96  >>>> Starting back demodulation with 30.
% 6.75/6.96  
% 6.75/6.96  ======= end of input processing =======
% 6.75/6.96  
% 6.75/6.96  =========== start of search ===========
% 6.75/6.96  
% 6.75/6.96  
% 6.75/6.96  Resetting weight limit to 15.
% 6.75/6.96  
% 6.75/6.96  
% 6.75/6.96  Resetting weight limit to 15.
% 6.75/6.96  
% 6.75/6.96  sos_size=261
% 6.75/6.96  
% 6.75/6.96  
% 6.75/6.96  Resetting weight limit to 13.
% 6.75/6.96  
% 6.75/6.96  
% 6.75/6.96  Resetting weight limit to 13.
% 6.75/6.96  
% 6.75/6.96  sos_size=276
% 6.75/6.96  
% 6.75/6.96  Search stopped because sos empty.
% 6.75/6.96  
% 6.75/6.96  
% 6.75/6.96  Search stopped because sos empty.
% 6.75/6.96  
% 6.75/6.96  ============ end of search ============
% 6.75/6.96  
% 6.75/6.96  -------------- statistics -------------
% 6.75/6.96  clauses given                312
% 6.75/6.96  clauses generated         173966
% 6.75/6.96  clauses kept                 471
% 6.75/6.96  clauses forward subsumed    3210
% 6.75/6.96  clauses back subsumed          0
% 6.75/6.96  Kbytes malloced             7812
% 6.75/6.96  
% 6.75/6.96  ----------- times (seconds) -----------
% 6.75/6.96  user CPU time          4.83          (0 hr, 0 min, 4 sec)
% 6.75/6.96  system CPU time        0.00          (0 hr, 0 min, 0 sec)
% 6.75/6.96  wall-clock time        7             (0 hr, 0 min, 7 sec)
% 6.75/6.96  
% 6.75/6.96  Process 13680 finished Wed Jul 27 05:16:22 2022
% 6.75/6.96  Otter interrupted
% 6.75/6.96  PROOF NOT FOUND
%------------------------------------------------------------------------------