TSTP Solution File: GRP664+1 by Otter---3.3

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Otter---3.3
% Problem  : GRP664+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : otter-tptp-script %s

% Computer : n018.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 12:57:36 EDT 2022

% Result   : Unknown 2.33s 2.51s
% Output   : None 
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.01/0.12  % Problem  : GRP664+1 : TPTP v8.1.0. Released v4.0.0.
% 0.13/0.13  % Command  : otter-tptp-script %s
% 0.13/0.34  % Computer : n018.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 05:36:01 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 1.72/1.93  ----- Otter 3.3f, August 2004 -----
% 1.72/1.93  The process was started by sandbox2 on n018.cluster.edu,
% 1.72/1.93  Wed Jul 27 05:36:01 2022
% 1.72/1.93  The command was "./otter".  The process ID is 24673.
% 1.72/1.93  
% 1.72/1.93  set(prolog_style_variables).
% 1.72/1.93  set(auto).
% 1.72/1.93     dependent: set(auto1).
% 1.72/1.93     dependent: set(process_input).
% 1.72/1.93     dependent: clear(print_kept).
% 1.72/1.93     dependent: clear(print_new_demod).
% 1.72/1.93     dependent: clear(print_back_demod).
% 1.72/1.93     dependent: clear(print_back_sub).
% 1.72/1.93     dependent: set(control_memory).
% 1.72/1.93     dependent: assign(max_mem, 12000).
% 1.72/1.93     dependent: assign(pick_given_ratio, 4).
% 1.72/1.93     dependent: assign(stats_level, 1).
% 1.72/1.93     dependent: assign(max_seconds, 10800).
% 1.72/1.93  clear(print_given).
% 1.72/1.93  
% 1.72/1.93  formula_list(usable).
% 1.72/1.93  all A (A=A).
% 1.72/1.93  all B A (mult(A,ld(A,B))=B).
% 1.72/1.93  all B A (ld(A,mult(A,B))=B).
% 1.72/1.93  all B A (mult(rd(A,B),B)=A).
% 1.72/1.93  all B A (rd(mult(A,B),B)=A).
% 1.72/1.93  all A (mult(A,unit)=A).
% 1.72/1.93  all A (mult(unit,A)=A).
% 1.72/1.93  all C B A (mult(A,mult(B,C))=mult(rd(mult(A,B),A),mult(A,C))).
% 1.72/1.93  all C B A (mult(mult(A,B),C)=mult(mult(A,C),ld(C,mult(B,C)))).
% 1.72/1.93  -(all X0 X1 X2 X3 (mult(X0,X1)=unit->mult(mult(X1,X0),mult(X2,X3))=mult(mult(mult(X1,X0),X2),X3)&mult(mult(X2,mult(X1,X0)),X3)=mult(X2,mult(mult(X1,X0),X3))&mult(mult(X2,X3),mult(X1,X0))=mult(X2,mult(X3,mult(X1,X0))))).
% 1.72/1.93  end_of_list.
% 1.72/1.93  
% 1.72/1.93  -------> usable clausifies to:
% 1.72/1.93  
% 1.72/1.93  list(usable).
% 1.72/1.93  0 [] A=A.
% 1.72/1.93  0 [] mult(A,ld(A,B))=B.
% 1.72/1.93  0 [] ld(A,mult(A,B))=B.
% 1.72/1.93  0 [] mult(rd(A,B),B)=A.
% 1.72/1.93  0 [] rd(mult(A,B),B)=A.
% 1.72/1.93  0 [] mult(A,unit)=A.
% 1.72/1.93  0 [] mult(unit,A)=A.
% 1.72/1.93  0 [] mult(A,mult(B,C))=mult(rd(mult(A,B),A),mult(A,C)).
% 1.72/1.93  0 [] mult(mult(A,B),C)=mult(mult(A,C),ld(C,mult(B,C))).
% 1.72/1.93  0 [] mult($c4,$c3)=unit.
% 1.72/1.93  0 [] mult(mult($c3,$c4),mult($c2,$c1))!=mult(mult(mult($c3,$c4),$c2),$c1)|mult(mult($c2,mult($c3,$c4)),$c1)!=mult($c2,mult(mult($c3,$c4),$c1))|mult(mult($c2,$c1),mult($c3,$c4))!=mult($c2,mult($c1,mult($c3,$c4))).
% 1.72/1.93  end_of_list.
% 1.72/1.93  
% 1.72/1.93  SCAN INPUT: prop=0, horn=1, equality=1, symmetry=0, max_lits=3.
% 1.72/1.93  
% 1.72/1.93  This is a Horn set with equality.  The strategy will be
% 1.72/1.93  Knuth-Bendix and hyper_res, with positive clauses in
% 1.72/1.93  sos and nonpositive clauses in usable.
% 1.72/1.93  
% 1.72/1.93     dependent: set(knuth_bendix).
% 1.72/1.93     dependent: set(anl_eq).
% 1.72/1.93     dependent: set(para_from).
% 1.72/1.93     dependent: set(para_into).
% 1.72/1.93     dependent: clear(para_from_right).
% 1.72/1.93     dependent: clear(para_into_right).
% 1.72/1.93     dependent: set(para_from_vars).
% 1.72/1.93     dependent: set(eq_units_both_ways).
% 1.72/1.93     dependent: set(dynamic_demod_all).
% 1.72/1.93     dependent: set(dynamic_demod).
% 1.72/1.93     dependent: set(order_eq).
% 1.72/1.93     dependent: set(back_demod).
% 1.72/1.93     dependent: set(lrpo).
% 1.72/1.93     dependent: set(hyper_res).
% 1.72/1.93     dependent: clear(order_hyper).
% 1.72/1.93  
% 1.72/1.93  ------------> process usable:
% 1.72/1.93  ** KEPT (pick-wt=45): 2 [copy,1,flip.1] mult(mult(mult($c3,$c4),$c2),$c1)!=mult(mult($c3,$c4),mult($c2,$c1))|mult(mult($c2,mult($c3,$c4)),$c1)!=mult($c2,mult(mult($c3,$c4),$c1))|mult(mult($c2,$c1),mult($c3,$c4))!=mult($c2,mult($c1,mult($c3,$c4))).
% 1.72/1.93  
% 1.72/1.93  ------------> process sos:
% 1.72/1.93  ** KEPT (pick-wt=3): 3 [] A=A.
% 1.72/1.93  ** KEPT (pick-wt=7): 4 [] mult(A,ld(A,B))=B.
% 1.72/1.93  ---> New Demodulator: 5 [new_demod,4] mult(A,ld(A,B))=B.
% 1.72/1.93  ** KEPT (pick-wt=7): 6 [] ld(A,mult(A,B))=B.
% 1.72/1.93  ---> New Demodulator: 7 [new_demod,6] ld(A,mult(A,B))=B.
% 1.72/1.93  ** KEPT (pick-wt=7): 8 [] mult(rd(A,B),B)=A.
% 1.72/1.93  ---> New Demodulator: 9 [new_demod,8] mult(rd(A,B),B)=A.
% 1.72/1.93  ** KEPT (pick-wt=7): 10 [] rd(mult(A,B),B)=A.
% 1.72/1.93  ---> New Demodulator: 11 [new_demod,10] rd(mult(A,B),B)=A.
% 1.72/1.93  ** KEPT (pick-wt=5): 12 [] mult(A,unit)=A.
% 1.72/1.93  ---> New Demodulator: 13 [new_demod,12] mult(A,unit)=A.
% 1.72/1.93  ** KEPT (pick-wt=5): 14 [] mult(unit,A)=A.
% 1.72/1.93  ---> New Demodulator: 15 [new_demod,14] mult(unit,A)=A.
% 1.72/1.93  ** KEPT (pick-wt=15): 17 [copy,16,flip.1] mult(rd(mult(A,B),A),mult(A,C))=mult(A,mult(B,C)).
% 1.72/1.93  ---> New Demodulator: 18 [new_demod,17] mult(rd(mult(A,B),A),mult(A,C))=mult(A,mult(B,C)).
% 1.72/1.93  ** KEPT (pick-wt=15): 19 [] mult(mult(A,B),C)=mult(mult(A,C),ld(C,mult(B,C))).
% 1.72/1.93  ** KEPT (pick-wt=5): 20 [] mult($c4,$c3)=unit.
% 1.72/1.93  ---> New Demodulator: 21 [new_demod,20] mult($c4,$c3)=unit.
% 1.72/1.93    Following clause subsumed by 3 during input processing: 0 [copy,3,flip.1] A=A.
% 1.72/1.93  >>>> Starting back demodulation with 5.
% 1.72/1.93  >>>> Starting back demodulation with 7.
% 1.72/1.93  >>>> Starting back demodulation with 9.
% 1.72/1.93  >>>> Starting back demodulation with 11.
% 1.72/1.93  >>>> Starting back demodulation with 13.
% 1.72/1.93  >>>> Starting back demodulation with 15.
% 2.33/2.51  >>>> Starting back demodulation with 18.
% 2.33/2.51  ** KEPT (pick-wt=15): 22 [copy,19,flip.1] mult(mult(A,B),ld(B,mult(C,B)))=mult(mult(A,C),B).
% 2.33/2.51  >>>> Starting back demodulation with 21.
% 2.33/2.51    Following clause subsumed by 19 during input processing: 0 [copy,22,flip.1] mult(mult(A,B),C)=mult(mult(A,C),ld(C,mult(B,C))).
% 2.33/2.51  
% 2.33/2.51  ======= end of input processing =======
% 2.33/2.51  
% 2.33/2.51  =========== start of search ===========
% 2.33/2.51  
% 2.33/2.51  
% 2.33/2.51  Resetting weight limit to 13.
% 2.33/2.51  
% 2.33/2.51  
% 2.33/2.51  Resetting weight limit to 13.
% 2.33/2.51  
% 2.33/2.51  sos_size=114
% 2.33/2.51  
% 2.33/2.51  Search stopped because sos empty.
% 2.33/2.51  
% 2.33/2.51  
% 2.33/2.51  Search stopped because sos empty.
% 2.33/2.51  
% 2.33/2.51  ============ end of search ============
% 2.33/2.51  
% 2.33/2.51  -------------- statistics -------------
% 2.33/2.51  clauses given                195
% 2.33/2.51  clauses generated          31355
% 2.33/2.51  clauses kept                 271
% 2.33/2.51  clauses forward subsumed    2060
% 2.33/2.51  clauses back subsumed          2
% 2.33/2.51  Kbytes malloced             6835
% 2.33/2.51  
% 2.33/2.51  ----------- times (seconds) -----------
% 2.33/2.51  user CPU time          0.57          (0 hr, 0 min, 0 sec)
% 2.33/2.51  system CPU time        0.01          (0 hr, 0 min, 0 sec)
% 2.33/2.51  wall-clock time        2             (0 hr, 0 min, 2 sec)
% 2.33/2.51  
% 2.33/2.51  Process 24673 finished Wed Jul 27 05:36:03 2022
% 2.33/2.51  Otter interrupted
% 2.33/2.51  PROOF NOT FOUND
%------------------------------------------------------------------------------