TSTP Solution File: GRP673+1 by Otter---3.3

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Otter---3.3
% Problem  : GRP673+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : otter-tptp-script %s

% Computer : n004.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 1.64s 1.88s
% Output   : None 
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : GRP673+1 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13  % Command  : otter-tptp-script %s
% 0.13/0.34  % Computer : n004.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Wed Jul 27 05:04:36 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 1.64/1.85  ----- Otter 3.3f, August 2004 -----
% 1.64/1.85  The process was started by sandbox2 on n004.cluster.edu,
% 1.64/1.85  Wed Jul 27 05:04:36 2022
% 1.64/1.85  The command was "./otter".  The process ID is 16220.
% 1.64/1.85  
% 1.64/1.85  set(prolog_style_variables).
% 1.64/1.85  set(auto).
% 1.64/1.85     dependent: set(auto1).
% 1.64/1.85     dependent: set(process_input).
% 1.64/1.85     dependent: clear(print_kept).
% 1.64/1.85     dependent: clear(print_new_demod).
% 1.64/1.85     dependent: clear(print_back_demod).
% 1.64/1.85     dependent: clear(print_back_sub).
% 1.64/1.85     dependent: set(control_memory).
% 1.64/1.85     dependent: assign(max_mem, 12000).
% 1.64/1.85     dependent: assign(pick_given_ratio, 4).
% 1.64/1.85     dependent: assign(stats_level, 1).
% 1.64/1.85     dependent: assign(max_seconds, 10800).
% 1.64/1.85  clear(print_given).
% 1.64/1.85  
% 1.64/1.85  formula_list(usable).
% 1.64/1.85  all A (A=A).
% 1.64/1.85  all B A (mult(A,ld(A,B))=B).
% 1.64/1.85  all B A (ld(A,mult(A,B))=B).
% 1.64/1.85  all B A (mult(rd(A,B),B)=A).
% 1.64/1.85  all B A (rd(mult(A,B),B)=A).
% 1.64/1.85  all A (mult(A,unit)=A).
% 1.64/1.85  all A (mult(unit,A)=A).
% 1.64/1.85  all C B A (mult(A,mult(B,mult(C,A)))=mult(mult(mult(A,B),C),A)).
% 1.64/1.85  all C B A (asoc(A,B,C)=ld(mult(A,mult(B,C)),mult(mult(A,B),C))).
% 1.64/1.85  mult(op_t,asoc(op_x,op_y,op_z))=mult(asoc(op_x,op_y,op_z),op_t).
% 1.64/1.85  -(mult(op_z,asoc(op_x,op_y,op_t))=mult(asoc(op_x,op_y,op_t),op_z)&mult(asoc(op_x,op_y,op_z),asoc(op_x,op_y,op_t))=asoc(op_x,op_y,mult(op_z,op_t))).
% 1.64/1.85  end_of_list.
% 1.64/1.85  
% 1.64/1.85  -------> usable clausifies to:
% 1.64/1.85  
% 1.64/1.85  list(usable).
% 1.64/1.85  0 [] A=A.
% 1.64/1.85  0 [] mult(A,ld(A,B))=B.
% 1.64/1.85  0 [] ld(A,mult(A,B))=B.
% 1.64/1.85  0 [] mult(rd(A,B),B)=A.
% 1.64/1.85  0 [] rd(mult(A,B),B)=A.
% 1.64/1.85  0 [] mult(A,unit)=A.
% 1.64/1.85  0 [] mult(unit,A)=A.
% 1.64/1.85  0 [] mult(A,mult(B,mult(C,A)))=mult(mult(mult(A,B),C),A).
% 1.64/1.85  0 [] asoc(A,B,C)=ld(mult(A,mult(B,C)),mult(mult(A,B),C)).
% 1.64/1.85  0 [] mult(op_t,asoc(op_x,op_y,op_z))=mult(asoc(op_x,op_y,op_z),op_t).
% 1.64/1.85  0 [] mult(op_z,asoc(op_x,op_y,op_t))!=mult(asoc(op_x,op_y,op_t),op_z)|mult(asoc(op_x,op_y,op_z),asoc(op_x,op_y,op_t))!=asoc(op_x,op_y,mult(op_z,op_t)).
% 1.64/1.85  end_of_list.
% 1.64/1.85  
% 1.64/1.85  SCAN INPUT: prop=0, horn=1, equality=1, symmetry=0, max_lits=2.
% 1.64/1.85  
% 1.64/1.85  This is a Horn set with equality.  The strategy will be
% 1.64/1.85  Knuth-Bendix and hyper_res, with positive clauses in
% 1.64/1.85  sos and nonpositive clauses in usable.
% 1.64/1.85  
% 1.64/1.85     dependent: set(knuth_bendix).
% 1.64/1.85     dependent: set(anl_eq).
% 1.64/1.85     dependent: set(para_from).
% 1.64/1.85     dependent: set(para_into).
% 1.64/1.85     dependent: clear(para_from_right).
% 1.64/1.85     dependent: clear(para_into_right).
% 1.64/1.85     dependent: set(para_from_vars).
% 1.64/1.85     dependent: set(eq_units_both_ways).
% 1.64/1.85     dependent: set(dynamic_demod_all).
% 1.64/1.85     dependent: set(dynamic_demod).
% 1.64/1.85     dependent: set(order_eq).
% 1.64/1.85     dependent: set(back_demod).
% 1.64/1.85     dependent: set(lrpo).
% 1.64/1.85     dependent: set(hyper_res).
% 1.64/1.85     dependent: clear(order_hyper).
% 1.64/1.85  
% 1.64/1.85  ------------> process usable:
% 1.64/1.85  ** KEPT (pick-wt=29): 2 [copy,1,flip.1] mult(asoc(op_x,op_y,op_t),op_z)!=mult(op_z,asoc(op_x,op_y,op_t))|mult(asoc(op_x,op_y,op_z),asoc(op_x,op_y,op_t))!=asoc(op_x,op_y,mult(op_z,op_t)).
% 1.64/1.85  
% 1.64/1.85  ------------> process sos:
% 1.64/1.85  ** KEPT (pick-wt=3): 3 [] A=A.
% 1.64/1.85  ** KEPT (pick-wt=7): 4 [] mult(A,ld(A,B))=B.
% 1.64/1.85  ---> New Demodulator: 5 [new_demod,4] mult(A,ld(A,B))=B.
% 1.64/1.85  ** KEPT (pick-wt=7): 6 [] ld(A,mult(A,B))=B.
% 1.64/1.85  ---> New Demodulator: 7 [new_demod,6] ld(A,mult(A,B))=B.
% 1.64/1.85  ** KEPT (pick-wt=7): 8 [] mult(rd(A,B),B)=A.
% 1.64/1.85  ---> New Demodulator: 9 [new_demod,8] mult(rd(A,B),B)=A.
% 1.64/1.85  ** KEPT (pick-wt=7): 10 [] rd(mult(A,B),B)=A.
% 1.64/1.85  ---> New Demodulator: 11 [new_demod,10] rd(mult(A,B),B)=A.
% 1.64/1.85  ** KEPT (pick-wt=5): 12 [] mult(A,unit)=A.
% 1.64/1.85  ---> New Demodulator: 13 [new_demod,12] mult(A,unit)=A.
% 1.64/1.85  ** KEPT (pick-wt=5): 14 [] mult(unit,A)=A.
% 1.64/1.85  ---> New Demodulator: 15 [new_demod,14] mult(unit,A)=A.
% 1.64/1.85  ** KEPT (pick-wt=15): 17 [copy,16,flip.1] mult(mult(mult(A,B),C),A)=mult(A,mult(B,mult(C,A))).
% 1.64/1.85  ---> New Demodulator: 18 [new_demod,17] mult(mult(mult(A,B),C),A)=mult(A,mult(B,mult(C,A))).
% 1.64/1.85  ** KEPT (pick-wt=16): 20 [copy,19,flip.1] ld(mult(A,mult(B,C)),mult(mult(A,B),C))=asoc(A,B,C).
% 1.64/1.85  ---> New Demodulator: 21 [new_demod,20] ld(mult(A,mult(B,C)),mult(mult(A,B),C))=asoc(A,B,C).
% 1.64/1.85  ** KEPT (pick-wt=13): 23 [copy,22,flip.1] mult(asoc(op_x,op_y,op_z),op_t)=mult(op_t,asoc(op_x,op_y,op_z)).
% 1.64/1.85  ---> New Demodulator: 24 [new_demod,23] mult(asoc(op_x,op_y,op_z),op_t)=mult(op_t,asoc(op_x,op_y,op_z)).
% 1.64/1.85    Following clause subsumed by 3 during input processing: 0 [copy,3,flip.1] A=A.
% 1.64/1.85  >>>> Starting back demodulation with 5.
% 1.64/1.85  >>>> Starting back demodulation with 7.
% 1.64/1.85  >>>> Starting back demodulation with 9.
% 1.64/1.88  >>>> Starting back demodulation with 11.
% 1.64/1.88  >>>> Starting back demodulation with 13.
% 1.64/1.88  >>>> Starting back demodulation with 15.
% 1.64/1.88  >>>> Starting back demodulation with 18.
% 1.64/1.88  >>>> Starting back demodulation with 21.
% 1.64/1.88  >>>> Starting back demodulation with 24.
% 1.64/1.88  
% 1.64/1.88  ======= end of input processing =======
% 1.64/1.88  
% 1.64/1.88  =========== start of search ===========
% 1.64/1.88  
% 1.64/1.88  
% 1.64/1.88  Resetting weight limit to 13.
% 1.64/1.88  
% 1.64/1.88  
% 1.64/1.88  Resetting weight limit to 13.
% 1.64/1.88  
% 1.64/1.88  sos_size=96
% 1.64/1.88  
% 1.64/1.88  
% 1.64/1.88  Resetting weight limit to 11.
% 1.64/1.88  
% 1.64/1.88  
% 1.64/1.88  Resetting weight limit to 11.
% 1.64/1.88  
% 1.64/1.88  sos_size=97
% 1.64/1.88  
% 1.64/1.88  
% 1.64/1.88  Resetting weight limit to 9.
% 1.64/1.88  
% 1.64/1.88  
% 1.64/1.88  Resetting weight limit to 9.
% 1.64/1.88  
% 1.64/1.88  sos_size=1
% 1.64/1.88  
% 1.64/1.88  Search stopped because sos empty.
% 1.64/1.88  
% 1.64/1.88  
% 1.64/1.88  Search stopped because sos empty.
% 1.64/1.88  
% 1.64/1.88  ============ end of search ============
% 1.64/1.88  
% 1.64/1.88  -------------- statistics -------------
% 1.64/1.88  clauses given                 68
% 1.64/1.88  clauses generated           1291
% 1.64/1.88  clauses kept                 180
% 1.64/1.88  clauses forward subsumed     635
% 1.64/1.88  clauses back subsumed          0
% 1.64/1.88  Kbytes malloced             4882
% 1.64/1.88  
% 1.64/1.88  ----------- times (seconds) -----------
% 1.64/1.88  user CPU time          0.03          (0 hr, 0 min, 0 sec)
% 1.64/1.88  system CPU time        0.00          (0 hr, 0 min, 0 sec)
% 1.64/1.88  wall-clock time        1             (0 hr, 0 min, 1 sec)
% 1.64/1.88  
% 1.64/1.88  Process 16220 finished Wed Jul 27 05:04:37 2022
% 1.64/1.88  Otter interrupted
% 1.64/1.88  PROOF NOT FOUND
%------------------------------------------------------------------------------