TSTP Solution File: GRP729-1 by Otter---3.3

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Otter---3.3
% Problem  : GRP729-1 : TPTP v8.1.0. Released v4.0.0.
% 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 12:57:44 EDT 2022

% Result   : Unknown 2.00s 2.22s
% Output   : None 
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11  % Problem  : GRP729-1 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.12  % Command  : otter-tptp-script %s
% 0.12/0.33  % Computer : n016.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 05:21:37 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 1.69/1.92  ----- Otter 3.3f, August 2004 -----
% 1.69/1.92  The process was started by sandbox on n016.cluster.edu,
% 1.69/1.92  Wed Jul 27 05:21:37 2022
% 1.69/1.92  The command was "./otter".  The process ID is 29789.
% 1.69/1.92  
% 1.69/1.92  set(prolog_style_variables).
% 1.69/1.92  set(auto).
% 1.69/1.92     dependent: set(auto1).
% 1.69/1.92     dependent: set(process_input).
% 1.69/1.92     dependent: clear(print_kept).
% 1.69/1.92     dependent: clear(print_new_demod).
% 1.69/1.92     dependent: clear(print_back_demod).
% 1.69/1.92     dependent: clear(print_back_sub).
% 1.69/1.92     dependent: set(control_memory).
% 1.69/1.92     dependent: assign(max_mem, 12000).
% 1.69/1.92     dependent: assign(pick_given_ratio, 4).
% 1.69/1.92     dependent: assign(stats_level, 1).
% 1.69/1.92     dependent: assign(max_seconds, 10800).
% 1.69/1.92  clear(print_given).
% 1.69/1.92  
% 1.69/1.92  list(usable).
% 1.69/1.92  0 [] A=A.
% 1.69/1.92  0 [] mult(unit,A)=A.
% 1.69/1.92  0 [] mult(A,unit)=A.
% 1.69/1.92  0 [] mult(A,i(A))=unit.
% 1.69/1.92  0 [] mult(i(A),A)=unit.
% 1.69/1.92  0 [] i(mult(A,B))=mult(i(A),i(B)).
% 1.69/1.92  0 [] mult(i(A),mult(A,B))=B.
% 1.69/1.92  0 [] rd(mult(A,B),B)=A.
% 1.69/1.92  0 [] mult(rd(A,B),B)=A.
% 1.69/1.92  0 [] mult(mult(A,mult(B,A)),C)=mult(A,mult(B,mult(A,C))).
% 1.69/1.92  0 [] mult(mult(A,B),C)=mult(mult(A,mult(B,C)),asoc(A,B,C)).
% 1.69/1.92  0 [] mult(A,B)=mult(mult(B,A),op_k(A,B)).
% 1.69/1.92  0 [] op_l(A,B,C)=mult(i(mult(C,B)),mult(C,mult(B,A))).
% 1.69/1.92  0 [] op_r(A,B,C)=rd(mult(mult(A,B),C),mult(B,C)).
% 1.69/1.92  0 [] op_t(A,B)=mult(i(B),mult(A,B)).
% 1.69/1.92  0 [] op_r(op_r(A,B,C),D,E)=op_r(op_r(A,D,E),B,C).
% 1.69/1.92  0 [] op_l(op_r(A,B,C),D,E)=op_r(op_l(A,D,E),B,C).
% 1.69/1.92  0 [] op_l(op_l(A,B,C),D,E)=op_l(op_l(A,D,E),B,C).
% 1.69/1.92  0 [] op_t(op_r(A,B,C),D)=op_r(op_t(A,D),B,C).
% 1.69/1.92  0 [] op_t(op_l(A,B,C),D)=op_l(op_t(A,D),B,C).
% 1.69/1.92  0 [] op_t(op_t(A,B),C)=op_t(op_t(A,C),B).
% 1.69/1.92  0 [] asoc(asoc(A,B,C),D,E)=unit.
% 1.69/1.92  0 [] asoc(A,B,asoc(C,D,E))=unit.
% 1.69/1.92  0 [] asoc(a,b,op_k(c,d))!=unit.
% 1.69/1.92  end_of_list.
% 1.69/1.92  
% 1.69/1.92  SCAN INPUT: prop=0, horn=1, equality=1, symmetry=0, max_lits=1.
% 1.69/1.92  
% 1.69/1.92  All clauses are units, and equality is present; the
% 1.69/1.92  strategy will be Knuth-Bendix with positive clauses in sos.
% 1.69/1.92  
% 1.69/1.92     dependent: set(knuth_bendix).
% 1.69/1.92     dependent: set(anl_eq).
% 1.69/1.92     dependent: set(para_from).
% 1.69/1.92     dependent: set(para_into).
% 1.69/1.92     dependent: clear(para_from_right).
% 1.69/1.92     dependent: clear(para_into_right).
% 1.69/1.92     dependent: set(para_from_vars).
% 1.69/1.92     dependent: set(eq_units_both_ways).
% 1.69/1.92     dependent: set(dynamic_demod_all).
% 1.69/1.92     dependent: set(dynamic_demod).
% 1.69/1.92     dependent: set(order_eq).
% 1.69/1.92     dependent: set(back_demod).
% 1.69/1.92     dependent: set(lrpo).
% 1.69/1.92  
% 1.69/1.92  ------------> process usable:
% 1.69/1.92  ** KEPT (pick-wt=8): 1 [] asoc(a,b,op_k(c,d))!=unit.
% 1.69/1.92  
% 1.69/1.92  ------------> process sos:
% 1.69/1.92  ** KEPT (pick-wt=3): 2 [] A=A.
% 1.69/1.92  ** KEPT (pick-wt=5): 3 [] mult(unit,A)=A.
% 1.69/1.92  ---> New Demodulator: 4 [new_demod,3] mult(unit,A)=A.
% 1.69/1.92  ** KEPT (pick-wt=5): 5 [] mult(A,unit)=A.
% 1.69/1.92  ---> New Demodulator: 6 [new_demod,5] mult(A,unit)=A.
% 1.69/1.92  ** KEPT (pick-wt=6): 7 [] mult(A,i(A))=unit.
% 1.69/1.92  ---> New Demodulator: 8 [new_demod,7] mult(A,i(A))=unit.
% 1.69/1.92  ** KEPT (pick-wt=6): 9 [] mult(i(A),A)=unit.
% 1.69/1.92  ---> New Demodulator: 10 [new_demod,9] mult(i(A),A)=unit.
% 1.69/1.92  ** KEPT (pick-wt=10): 11 [] i(mult(A,B))=mult(i(A),i(B)).
% 1.69/1.92  ---> New Demodulator: 12 [new_demod,11] i(mult(A,B))=mult(i(A),i(B)).
% 1.69/1.92  ** KEPT (pick-wt=8): 13 [] mult(i(A),mult(A,B))=B.
% 1.69/1.92  ---> New Demodulator: 14 [new_demod,13] mult(i(A),mult(A,B))=B.
% 1.69/1.92  ** KEPT (pick-wt=7): 15 [] rd(mult(A,B),B)=A.
% 1.69/1.92  ---> New Demodulator: 16 [new_demod,15] rd(mult(A,B),B)=A.
% 1.69/1.92  ** KEPT (pick-wt=7): 17 [] mult(rd(A,B),B)=A.
% 1.69/1.92  ---> New Demodulator: 18 [new_demod,17] mult(rd(A,B),B)=A.
% 1.69/1.92  ** KEPT (pick-wt=15): 19 [] mult(mult(A,mult(B,A)),C)=mult(A,mult(B,mult(A,C))).
% 1.69/1.92  ---> New Demodulator: 20 [new_demod,19] mult(mult(A,mult(B,A)),C)=mult(A,mult(B,mult(A,C))).
% 1.69/1.92  ** KEPT (pick-wt=16): 22 [copy,21,flip.1] mult(mult(A,mult(B,C)),asoc(A,B,C))=mult(mult(A,B),C).
% 1.69/1.92  ---> New Demodulator: 23 [new_demod,22] mult(mult(A,mult(B,C)),asoc(A,B,C))=mult(mult(A,B),C).
% 1.69/1.92  ** KEPT (pick-wt=11): 25 [copy,24,flip.1] mult(mult(A,B),op_k(B,A))=mult(B,A).
% 1.69/1.92  ---> New Demodulator: 26 [new_demod,25] mult(mult(A,B),op_k(B,A))=mult(B,A).
% 1.69/1.92  ** KEPT (pick-wt=16): 28 [copy,27,demod,12,flip.1] mult(mult(i(A),i(B)),mult(A,mult(B,C)))=op_l(C,B,A).
% 1.69/1.92  ---> New Demodulator: 29 [new_demod,28] mult(mult(i(A),i(B)),mult(A,mult(B,C)))=op_l(C,B,A).
% 1.69/1.92  ** KEPT (pick-wt=14): 31 [copy,30,flip.1] rd(mult(mult(A,B),C),mult(B,C))=op_r(A,B,C).
% 1.69/1.92  ---> New Demodulator: 32 [new_demod,31] rd(mult(mult(A,B),C),mult(B,C))=op_r(A,B,C).
% 1.69/1.92  ** KEPT (pick-wt=10): 33 [] op_t(A,B)=mult(i(B),mult(A,B)).
% 2.00/2.22  ** KEPT (pick-wt=15): 34 [] op_r(op_r(A,B,C),D,E)=op_r(op_r(A,D,E),B,C).
% 2.00/2.22  ** KEPT (pick-wt=15): 36 [copy,35,flip.1] op_r(op_l(A,B,C),D,E)=op_l(op_r(A,D,E),B,C).
% 2.00/2.22  ---> New Demodulator: 37 [new_demod,36] op_r(op_l(A,B,C),D,E)=op_l(op_r(A,D,E),B,C).
% 2.00/2.22  ** KEPT (pick-wt=15): 38 [] op_l(op_l(A,B,C),D,E)=op_l(op_l(A,D,E),B,C).
% 2.00/2.22  ** KEPT (pick-wt=13): 39 [] op_t(op_r(A,B,C),D)=op_r(op_t(A,D),B,C).
% 2.00/2.22  ---> New Demodulator: 40 [new_demod,39] op_t(op_r(A,B,C),D)=op_r(op_t(A,D),B,C).
% 2.00/2.22  ** KEPT (pick-wt=13): 41 [] op_t(op_l(A,B,C),D)=op_l(op_t(A,D),B,C).
% 2.00/2.22  ---> New Demodulator: 42 [new_demod,41] op_t(op_l(A,B,C),D)=op_l(op_t(A,D),B,C).
% 2.00/2.22  ** KEPT (pick-wt=11): 43 [] op_t(op_t(A,B),C)=op_t(op_t(A,C),B).
% 2.00/2.22  ** KEPT (pick-wt=9): 44 [] asoc(asoc(A,B,C),D,E)=unit.
% 2.00/2.22  ---> New Demodulator: 45 [new_demod,44] asoc(asoc(A,B,C),D,E)=unit.
% 2.00/2.22  ** KEPT (pick-wt=9): 46 [] asoc(A,B,asoc(C,D,E))=unit.
% 2.00/2.22  ---> New Demodulator: 47 [new_demod,46] asoc(A,B,asoc(C,D,E))=unit.
% 2.00/2.22    Following clause subsumed by 2 during input processing: 0 [copy,2,flip.1] A=A.
% 2.00/2.22  >>>> Starting back demodulation with 4.
% 2.00/2.22  >>>> Starting back demodulation with 6.
% 2.00/2.22  >>>> Starting back demodulation with 8.
% 2.00/2.22  >>>> Starting back demodulation with 10.
% 2.00/2.22  >>>> Starting back demodulation with 12.
% 2.00/2.22  >>>> Starting back demodulation with 14.
% 2.00/2.22  >>>> Starting back demodulation with 16.
% 2.00/2.22  >>>> Starting back demodulation with 18.
% 2.00/2.22  >>>> Starting back demodulation with 20.
% 2.00/2.22  >>>> Starting back demodulation with 23.
% 2.00/2.22  >>>> Starting back demodulation with 26.
% 2.00/2.22  >>>> Starting back demodulation with 29.
% 2.00/2.22  >>>> Starting back demodulation with 32.
% 2.00/2.22  ** KEPT (pick-wt=10): 48 [copy,33,flip.1] mult(i(A),mult(B,A))=op_t(B,A).
% 2.00/2.22    Following clause subsumed by 34 during input processing: 0 [copy,34,flip.1] op_r(op_r(A,B,C),D,E)=op_r(op_r(A,D,E),B,C).
% 2.00/2.22  >>>> Starting back demodulation with 37.
% 2.00/2.22    Following clause subsumed by 38 during input processing: 0 [copy,38,flip.1] op_l(op_l(A,B,C),D,E)=op_l(op_l(A,D,E),B,C).
% 2.00/2.22  >>>> Starting back demodulation with 40.
% 2.00/2.22  >>>> Starting back demodulation with 42.
% 2.00/2.22    Following clause subsumed by 43 during input processing: 0 [copy,43,flip.1] op_t(op_t(A,B),C)=op_t(op_t(A,C),B).
% 2.00/2.22  >>>> Starting back demodulation with 45.
% 2.00/2.22  >>>> Starting back demodulation with 47.
% 2.00/2.22    Following clause subsumed by 33 during input processing: 0 [copy,48,flip.1] op_t(A,B)=mult(i(B),mult(A,B)).
% 2.00/2.22  
% 2.00/2.22  ======= end of input processing =======
% 2.00/2.22  
% 2.00/2.22  =========== start of search ===========
% 2.00/2.22  
% 2.00/2.22  
% 2.00/2.22  Resetting weight limit to 11.
% 2.00/2.22  
% 2.00/2.22  
% 2.00/2.22  Resetting weight limit to 11.
% 2.00/2.22  
% 2.00/2.22  sos_size=135
% 2.00/2.22  
% 2.00/2.22  Search stopped because sos empty.
% 2.00/2.22  
% 2.00/2.22  
% 2.00/2.22  Search stopped because sos empty.
% 2.00/2.22  
% 2.00/2.22  ============ end of search ============
% 2.00/2.22  
% 2.00/2.22  -------------- statistics -------------
% 2.00/2.22  clauses given                327
% 2.00/2.22  clauses generated          31783
% 2.00/2.22  clauses kept                 407
% 2.00/2.22  clauses forward subsumed    9715
% 2.00/2.22  clauses back subsumed          1
% 2.00/2.22  Kbytes malloced             9765
% 2.00/2.22  
% 2.00/2.22  ----------- times (seconds) -----------
% 2.00/2.22  user CPU time          0.29          (0 hr, 0 min, 0 sec)
% 2.00/2.22  system CPU time        0.01          (0 hr, 0 min, 0 sec)
% 2.00/2.22  wall-clock time        2             (0 hr, 0 min, 2 sec)
% 2.00/2.22  
% 2.00/2.22  Process 29789 finished Wed Jul 27 05:21:39 2022
% 2.00/2.22  Otter interrupted
% 2.00/2.22  PROOF NOT FOUND
%------------------------------------------------------------------------------