TSTP Solution File: GRP667+6 by Otter---3.3

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Otter---3.3
% Problem  : GRP667+6 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : otter-tptp-script %s

% Computer : n011.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 3.95s 4.16s
% Output   : None 
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : GRP667+6 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.12  % Command  : otter-tptp-script %s
% 0.13/0.33  % Computer : n011.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 05:28:10 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 1.94/2.12  ----- Otter 3.3f, August 2004 -----
% 1.94/2.12  The process was started by sandbox on n011.cluster.edu,
% 1.94/2.12  Wed Jul 27 05:28:10 2022
% 1.94/2.12  The command was "./otter".  The process ID is 5038.
% 1.94/2.12  
% 1.94/2.12  set(prolog_style_variables).
% 1.94/2.12  set(auto).
% 1.94/2.12     dependent: set(auto1).
% 1.94/2.12     dependent: set(process_input).
% 1.94/2.12     dependent: clear(print_kept).
% 1.94/2.12     dependent: clear(print_new_demod).
% 1.94/2.12     dependent: clear(print_back_demod).
% 1.94/2.12     dependent: clear(print_back_sub).
% 1.94/2.12     dependent: set(control_memory).
% 1.94/2.12     dependent: assign(max_mem, 12000).
% 1.94/2.12     dependent: assign(pick_given_ratio, 4).
% 1.94/2.12     dependent: assign(stats_level, 1).
% 1.94/2.12     dependent: assign(max_seconds, 10800).
% 1.94/2.12  clear(print_given).
% 1.94/2.12  
% 1.94/2.12  formula_list(usable).
% 1.94/2.12  all A (A=A).
% 1.94/2.12  all B A (mult(A,ld(A,B))=B).
% 1.94/2.12  all B A (ld(A,mult(A,B))=B).
% 1.94/2.12  all B A (mult(rd(A,B),B)=A).
% 1.94/2.12  all B A (rd(mult(A,B),B)=A).
% 1.94/2.12  all A (mult(A,unit)=A).
% 1.94/2.12  all A (mult(unit,A)=A).
% 1.94/2.12  all C B A (mult(mult(A,B),mult(mult(C,B),C))=mult(mult(A,mult(mult(B,C),B)),C)).
% 1.94/2.12  all B A (mult(mult(A,B),A)=mult(A,mult(B,A))).
% 1.94/2.12  all A (mult(f(A),f(A))=A).
% 1.94/2.12  -((all X0 X1 X2 (mult(X2,mult(X0,mult(X2,X1)))=mult(mult(mult(X2,X0),X2),X1)))| (all X3 X4 X5 (mult(X3,mult(X5,mult(X4,X5)))=mult(mult(mult(X3,X5),X4),X5)))| (all X6 X7 X8 (mult(mult(X8,X6),mult(X7,X8))=mult(mult(X8,mult(X6,X7)),X8)))| (all X9 X10 X11 (mult(mult(X11,X9),mult(X10,X11))=mult(X11,mult(mult(X9,X10),X11))))).
% 1.94/2.12  end_of_list.
% 1.94/2.12  
% 1.94/2.12  -------> usable clausifies to:
% 1.94/2.12  
% 1.94/2.12  list(usable).
% 1.94/2.12  0 [] A=A.
% 1.94/2.12  0 [] mult(A,ld(A,B))=B.
% 1.94/2.12  0 [] ld(A,mult(A,B))=B.
% 1.94/2.12  0 [] mult(rd(A,B),B)=A.
% 1.94/2.12  0 [] rd(mult(A,B),B)=A.
% 1.94/2.12  0 [] mult(A,unit)=A.
% 1.94/2.12  0 [] mult(unit,A)=A.
% 1.94/2.12  0 [] mult(mult(A,B),mult(mult(C,B),C))=mult(mult(A,mult(mult(B,C),B)),C).
% 1.94/2.12  0 [] mult(mult(A,B),A)=mult(A,mult(B,A)).
% 1.94/2.12  0 [] mult(f(A),f(A))=A.
% 1.94/2.12  0 [] mult($c1,mult($c3,mult($c1,$c2)))!=mult(mult(mult($c1,$c3),$c1),$c2).
% 1.94/2.12  0 [] mult($c6,mult($c4,mult($c5,$c4)))!=mult(mult(mult($c6,$c4),$c5),$c4).
% 1.94/2.12  0 [] mult(mult($c7,$c9),mult($c8,$c7))!=mult(mult($c7,mult($c9,$c8)),$c7).
% 1.94/2.12  0 [] mult(mult($c10,$c12),mult($c11,$c10))!=mult($c10,mult(mult($c12,$c11),$c10)).
% 1.94/2.12  end_of_list.
% 1.94/2.12  
% 1.94/2.12  SCAN INPUT: prop=0, horn=1, equality=1, symmetry=0, max_lits=1.
% 1.94/2.12  
% 1.94/2.12  All clauses are units, and equality is present; the
% 1.94/2.12  strategy will be Knuth-Bendix with positive clauses in sos.
% 1.94/2.12  
% 1.94/2.12     dependent: set(knuth_bendix).
% 1.94/2.12     dependent: set(anl_eq).
% 1.94/2.12     dependent: set(para_from).
% 1.94/2.12     dependent: set(para_into).
% 1.94/2.12     dependent: clear(para_from_right).
% 1.94/2.12     dependent: clear(para_into_right).
% 1.94/2.12     dependent: set(para_from_vars).
% 1.94/2.12     dependent: set(eq_units_both_ways).
% 1.94/2.12     dependent: set(dynamic_demod_all).
% 1.94/2.12     dependent: set(dynamic_demod).
% 1.94/2.12     dependent: set(order_eq).
% 1.94/2.12     dependent: set(back_demod).
% 1.94/2.12     dependent: set(lrpo).
% 1.94/2.12  
% 1.94/2.12  ------------> process usable:
% 1.94/2.12  ** KEPT (pick-wt=15): 2 [copy,1,flip.1] mult(mult(mult($c1,$c3),$c1),$c2)!=mult($c1,mult($c3,mult($c1,$c2))).
% 1.94/2.12  ** KEPT (pick-wt=15): 4 [copy,3,flip.1] mult(mult(mult($c6,$c4),$c5),$c4)!=mult($c6,mult($c4,mult($c5,$c4))).
% 1.94/2.12  ** KEPT (pick-wt=15): 6 [copy,5,flip.1] mult(mult($c7,mult($c9,$c8)),$c7)!=mult(mult($c7,$c9),mult($c8,$c7)).
% 1.94/2.12  ** KEPT (pick-wt=15): 8 [copy,7,flip.1] mult($c10,mult(mult($c12,$c11),$c10))!=mult(mult($c10,$c12),mult($c11,$c10)).
% 1.94/2.12  
% 1.94/2.12  ------------> process sos:
% 1.94/2.12  ** KEPT (pick-wt=3): 9 [] A=A.
% 1.94/2.12  ** KEPT (pick-wt=7): 10 [] mult(A,ld(A,B))=B.
% 1.94/2.12  ---> New Demodulator: 11 [new_demod,10] mult(A,ld(A,B))=B.
% 1.94/2.12  ** KEPT (pick-wt=7): 12 [] ld(A,mult(A,B))=B.
% 1.94/2.12  ---> New Demodulator: 13 [new_demod,12] ld(A,mult(A,B))=B.
% 1.94/2.12  ** KEPT (pick-wt=7): 14 [] mult(rd(A,B),B)=A.
% 1.94/2.12  ---> New Demodulator: 15 [new_demod,14] mult(rd(A,B),B)=A.
% 1.94/2.12  ** KEPT (pick-wt=7): 16 [] rd(mult(A,B),B)=A.
% 1.94/2.12  ---> New Demodulator: 17 [new_demod,16] rd(mult(A,B),B)=A.
% 1.94/2.12  ** KEPT (pick-wt=5): 18 [] mult(A,unit)=A.
% 1.94/2.12  ---> New Demodulator: 19 [new_demod,18] mult(A,unit)=A.
% 1.94/2.12  ** KEPT (pick-wt=5): 20 [] mult(unit,A)=A.
% 1.94/2.12  ---> New Demodulator: 21 [new_demod,20] mult(unit,A)=A.
% 1.94/2.12  ** 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)).
% 1.94/2.12  ---> New Demodulator: 24 [new_demod,23] mult(mult(A,mult(mult(B,C),B)),C)=mult(mult(A,B),mult(mult(C,B),C)).
% 1.94/2.12  ** KEPT (pick-wt=11): 25 [] mult(mult(A,B),A)=mult(A,mult(B,A)).
% 1.94/2.12  ---> New Demodulator: 26 [new_demod,25] mult(mult(A,B),A)=mult(A,mult(B,A)).
% 3.95/4.16  ** KEPT (pick-wt=7): 27 [] mult(f(A),f(A))=A.
% 3.95/4.16  ---> New Demodulator: 28 [new_demod,27] mult(f(A),f(A))=A.
% 3.95/4.16    Following clause subsumed by 9 during input processing: 0 [copy,9,flip.1] A=A.
% 3.95/4.16  >>>> Starting back demodulation with 11.
% 3.95/4.16  >>>> Starting back demodulation with 13.
% 3.95/4.16  >>>> Starting back demodulation with 15.
% 3.95/4.16  >>>> Starting back demodulation with 17.
% 3.95/4.16  >>>> Starting back demodulation with 19.
% 3.95/4.16  >>>> Starting back demodulation with 21.
% 3.95/4.16  >>>> Starting back demodulation with 24.
% 3.95/4.16  >>>> Starting back demodulation with 26.
% 3.95/4.16      >> back demodulating 23 with 26.
% 3.95/4.16      >> back demodulating 6 with 26.
% 3.95/4.16      >> back demodulating 2 with 26.
% 3.95/4.16  >>>> Starting back demodulation with 28.
% 3.95/4.16  >>>> Starting back demodulation with 30.
% 3.95/4.16  
% 3.95/4.16  ======= end of input processing =======
% 3.95/4.16  
% 3.95/4.16  =========== start of search ===========
% 3.95/4.16  
% 3.95/4.16  
% 3.95/4.16  Resetting weight limit to 11.
% 3.95/4.16  
% 3.95/4.16  
% 3.95/4.16  Resetting weight limit to 11.
% 3.95/4.16  
% 3.95/4.16  sos_size=161
% 3.95/4.16  
% 3.95/4.16  Search stopped because sos empty.
% 3.95/4.16  
% 3.95/4.16  
% 3.95/4.16  Search stopped because sos empty.
% 3.95/4.16  
% 3.95/4.16  ============ end of search ============
% 3.95/4.16  
% 3.95/4.16  -------------- statistics -------------
% 3.95/4.16  clauses given                169
% 3.95/4.16  clauses generated          33779
% 3.95/4.16  clauses kept                 285
% 3.95/4.16  clauses forward subsumed    1501
% 3.95/4.16  clauses back subsumed          0
% 3.95/4.16  Kbytes malloced             8789
% 3.95/4.16  
% 3.95/4.16  ----------- times (seconds) -----------
% 3.95/4.16  user CPU time          2.04          (0 hr, 0 min, 2 sec)
% 3.95/4.16  system CPU time        0.00          (0 hr, 0 min, 0 sec)
% 3.95/4.16  wall-clock time        4             (0 hr, 0 min, 4 sec)
% 3.95/4.16  
% 3.95/4.16  Process 5038 finished Wed Jul 27 05:28:14 2022
% 3.95/4.16  Otter interrupted
% 3.95/4.16  PROOF NOT FOUND
%------------------------------------------------------------------------------