TSTP Solution File: GRP678-1 by Otter---3.3

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Otter---3.3
% Problem  : GRP678-1 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : otter-tptp-script %s

% Computer : n008.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 12:57:38 EDT 2022

% Result   : Unknown 2.32s 2.53s
% Output   : None 
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : GRP678-1 : TPTP v8.1.0. Released v4.0.0.
% 0.12/0.13  % Command  : otter-tptp-script %s
% 0.12/0.33  % Computer : n008.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 05:34:53 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 1.73/1.93  ----- Otter 3.3f, August 2004 -----
% 1.73/1.93  The process was started by sandbox on n008.cluster.edu,
% 1.73/1.93  Wed Jul 27 05:34:53 2022
% 1.73/1.93  The command was "./otter".  The process ID is 30544.
% 1.73/1.93  
% 1.73/1.93  set(prolog_style_variables).
% 1.73/1.93  set(auto).
% 1.73/1.93     dependent: set(auto1).
% 1.73/1.93     dependent: set(process_input).
% 1.73/1.93     dependent: clear(print_kept).
% 1.73/1.93     dependent: clear(print_new_demod).
% 1.73/1.93     dependent: clear(print_back_demod).
% 1.73/1.93     dependent: clear(print_back_sub).
% 1.73/1.93     dependent: set(control_memory).
% 1.73/1.93     dependent: assign(max_mem, 12000).
% 1.73/1.93     dependent: assign(pick_given_ratio, 4).
% 1.73/1.93     dependent: assign(stats_level, 1).
% 1.73/1.93     dependent: assign(max_seconds, 10800).
% 1.73/1.93  clear(print_given).
% 1.73/1.93  
% 1.73/1.93  list(usable).
% 1.73/1.93  0 [] A=A.
% 1.73/1.93  0 [] mult(A,ld(A,B))=B.
% 1.73/1.93  0 [] ld(A,mult(A,B))=B.
% 1.73/1.93  0 [] mult(rd(A,B),B)=A.
% 1.73/1.93  0 [] rd(mult(A,B),B)=A.
% 1.73/1.93  0 [] mult(A,unit)=A.
% 1.73/1.93  0 [] mult(unit,A)=A.
% 1.73/1.93  0 [] mult(A,mult(B,C))=mult(rd(mult(A,B),A),mult(A,C)).
% 1.73/1.93  0 [] mult(mult(A,B),C)=mult(mult(A,C),ld(C,mult(B,C))).
% 1.73/1.93  0 [] asoc(A,B,C)=ld(mult(A,mult(B,C)),mult(mult(A,B),C)).
% 1.73/1.93  0 [] mult(op_c,mult(A,B))=mult(mult(op_c,A),B).
% 1.73/1.93  0 [] mult(A,mult(op_c,B))=mult(mult(A,op_c),B).
% 1.73/1.93  0 [] mult(A,mult(B,op_c))=mult(mult(A,B),op_c).
% 1.73/1.93  0 [] mult(asoc(a,b,c),op_c)!=mult(op_c,asoc(a,b,c)).
% 1.73/1.93  end_of_list.
% 1.73/1.93  
% 1.73/1.93  SCAN INPUT: prop=0, horn=1, equality=1, symmetry=0, max_lits=1.
% 1.73/1.93  
% 1.73/1.93  All clauses are units, and equality is present; the
% 1.73/1.93  strategy will be Knuth-Bendix with positive clauses in sos.
% 1.73/1.93  
% 1.73/1.93     dependent: set(knuth_bendix).
% 1.73/1.93     dependent: set(anl_eq).
% 1.73/1.93     dependent: set(para_from).
% 1.73/1.93     dependent: set(para_into).
% 1.73/1.93     dependent: clear(para_from_right).
% 1.73/1.93     dependent: clear(para_into_right).
% 1.73/1.93     dependent: set(para_from_vars).
% 1.73/1.93     dependent: set(eq_units_both_ways).
% 1.73/1.93     dependent: set(dynamic_demod_all).
% 1.73/1.93     dependent: set(dynamic_demod).
% 1.73/1.93     dependent: set(order_eq).
% 1.73/1.93     dependent: set(back_demod).
% 1.73/1.93     dependent: set(lrpo).
% 1.73/1.93  
% 1.73/1.93  ------------> process usable:
% 1.73/1.93  ** KEPT (pick-wt=13): 1 [] mult(asoc(a,b,c),op_c)!=mult(op_c,asoc(a,b,c)).
% 1.73/1.93  
% 1.73/1.93  ------------> process sos:
% 1.73/1.93  ** KEPT (pick-wt=3): 2 [] A=A.
% 1.73/1.93  ** KEPT (pick-wt=7): 3 [] mult(A,ld(A,B))=B.
% 1.73/1.93  ---> New Demodulator: 4 [new_demod,3] mult(A,ld(A,B))=B.
% 1.73/1.93  ** KEPT (pick-wt=7): 5 [] ld(A,mult(A,B))=B.
% 1.73/1.93  ---> New Demodulator: 6 [new_demod,5] ld(A,mult(A,B))=B.
% 1.73/1.93  ** KEPT (pick-wt=7): 7 [] mult(rd(A,B),B)=A.
% 1.73/1.93  ---> New Demodulator: 8 [new_demod,7] mult(rd(A,B),B)=A.
% 1.73/1.93  ** KEPT (pick-wt=7): 9 [] rd(mult(A,B),B)=A.
% 1.73/1.93  ---> New Demodulator: 10 [new_demod,9] rd(mult(A,B),B)=A.
% 1.73/1.93  ** KEPT (pick-wt=5): 11 [] mult(A,unit)=A.
% 1.73/1.93  ---> New Demodulator: 12 [new_demod,11] mult(A,unit)=A.
% 1.73/1.93  ** KEPT (pick-wt=5): 13 [] mult(unit,A)=A.
% 1.73/1.93  ---> New Demodulator: 14 [new_demod,13] mult(unit,A)=A.
% 1.73/1.93  ** KEPT (pick-wt=15): 16 [copy,15,flip.1] mult(rd(mult(A,B),A),mult(A,C))=mult(A,mult(B,C)).
% 1.73/1.93  ---> New Demodulator: 17 [new_demod,16] mult(rd(mult(A,B),A),mult(A,C))=mult(A,mult(B,C)).
% 1.73/1.93  ** KEPT (pick-wt=15): 18 [] mult(mult(A,B),C)=mult(mult(A,C),ld(C,mult(B,C))).
% 1.73/1.93  ** KEPT (pick-wt=16): 20 [copy,19,flip.1] ld(mult(A,mult(B,C)),mult(mult(A,B),C))=asoc(A,B,C).
% 1.73/1.93  ---> New Demodulator: 21 [new_demod,20] ld(mult(A,mult(B,C)),mult(mult(A,B),C))=asoc(A,B,C).
% 1.73/1.93  ** KEPT (pick-wt=11): 23 [copy,22,flip.1] mult(mult(op_c,A),B)=mult(op_c,mult(A,B)).
% 1.73/1.93  ---> New Demodulator: 24 [new_demod,23] mult(mult(op_c,A),B)=mult(op_c,mult(A,B)).
% 1.73/1.93  ** KEPT (pick-wt=11): 26 [copy,25,flip.1] mult(mult(A,op_c),B)=mult(A,mult(op_c,B)).
% 1.73/1.93  ---> New Demodulator: 27 [new_demod,26] mult(mult(A,op_c),B)=mult(A,mult(op_c,B)).
% 1.73/1.93  ** KEPT (pick-wt=11): 29 [copy,28,flip.1] mult(mult(A,B),op_c)=mult(A,mult(B,op_c)).
% 1.73/1.93  ---> New Demodulator: 30 [new_demod,29] mult(mult(A,B),op_c)=mult(A,mult(B,op_c)).
% 1.73/1.93    Following clause subsumed by 2 during input processing: 0 [copy,2,flip.1] A=A.
% 1.73/1.93  >>>> Starting back demodulation with 4.
% 1.73/1.93  >>>> Starting back demodulation with 6.
% 1.73/1.93  >>>> Starting back demodulation with 8.
% 1.73/1.93  >>>> Starting back demodulation with 10.
% 1.73/1.93  >>>> Starting back demodulation with 12.
% 1.73/1.93  >>>> Starting back demodulation with 14.
% 1.73/1.93  >>>> Starting back demodulation with 17.
% 1.73/1.93  ** KEPT (pick-wt=15): 31 [copy,18,flip.1] mult(mult(A,B),ld(B,mult(C,B)))=mult(mult(A,C),B).
% 1.73/1.93  >>>> Starting back demodulation with 21.
% 1.73/1.93  >>>> Starting back demodulation with 24.
% 1.73/1.93  >>>> Starting back demodulation with 27.
% 1.73/1.93  >>>> Starting back demodulation with 30.
% 2.32/2.53    Following clause subsumed by 18 during input processing: 0 [copy,31,flip.1] mult(mult(A,B),C)=mult(mult(A,C),ld(C,mult(B,C))).
% 2.32/2.53  
% 2.32/2.53  ======= end of input processing =======
% 2.32/2.53  
% 2.32/2.53  =========== start of search ===========
% 2.32/2.53  
% 2.32/2.53  
% 2.32/2.53  Resetting weight limit to 11.
% 2.32/2.53  
% 2.32/2.53  
% 2.32/2.53  Resetting weight limit to 11.
% 2.32/2.53  
% 2.32/2.53  sos_size=185
% 2.32/2.53  
% 2.32/2.53  Search stopped because sos empty.
% 2.32/2.53  
% 2.32/2.53  
% 2.32/2.53  Search stopped because sos empty.
% 2.32/2.53  
% 2.32/2.53  ============ end of search ============
% 2.32/2.53  
% 2.32/2.53  -------------- statistics -------------
% 2.32/2.53  clauses given                198
% 2.32/2.53  clauses generated          34265
% 2.32/2.53  clauses kept                 350
% 2.32/2.53  clauses forward subsumed    2187
% 2.32/2.53  clauses back subsumed          2
% 2.32/2.53  Kbytes malloced             7812
% 2.32/2.53  
% 2.32/2.53  ----------- times (seconds) -----------
% 2.32/2.53  user CPU time          0.60          (0 hr, 0 min, 0 sec)
% 2.32/2.53  system CPU time        0.01          (0 hr, 0 min, 0 sec)
% 2.32/2.53  wall-clock time        2             (0 hr, 0 min, 2 sec)
% 2.32/2.53  
% 2.32/2.53  Process 30544 finished Wed Jul 27 05:34:55 2022
% 2.32/2.53  Otter interrupted
% 2.32/2.53  PROOF NOT FOUND
%------------------------------------------------------------------------------