TSTP Solution File: GRP683+1 by Otter---3.3

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Otter---3.3
% Problem  : GRP683+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : otter-tptp-script %s

% Computer : n013.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 12:57:39 EDT 2022

% Result   : Unknown 1.78s 2.06s
% Output   : None 
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : GRP683+1 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.12  % Command  : otter-tptp-script %s
% 0.12/0.33  % Computer : n013.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 04:57:00 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 1.78/2.01  ----- Otter 3.3f, August 2004 -----
% 1.78/2.01  The process was started by sandbox on n013.cluster.edu,
% 1.78/2.01  Wed Jul 27 04:57:00 2022
% 1.78/2.01  The command was "./otter".  The process ID is 14113.
% 1.78/2.01  
% 1.78/2.01  set(prolog_style_variables).
% 1.78/2.01  set(auto).
% 1.78/2.01     dependent: set(auto1).
% 1.78/2.01     dependent: set(process_input).
% 1.78/2.01     dependent: clear(print_kept).
% 1.78/2.01     dependent: clear(print_new_demod).
% 1.78/2.01     dependent: clear(print_back_demod).
% 1.78/2.01     dependent: clear(print_back_sub).
% 1.78/2.01     dependent: set(control_memory).
% 1.78/2.01     dependent: assign(max_mem, 12000).
% 1.78/2.01     dependent: assign(pick_given_ratio, 4).
% 1.78/2.01     dependent: assign(stats_level, 1).
% 1.78/2.01     dependent: assign(max_seconds, 10800).
% 1.78/2.01  clear(print_given).
% 1.78/2.01  
% 1.78/2.01  formula_list(usable).
% 1.78/2.01  all A (A=A).
% 1.78/2.01  all A (ld(A,mult(A,A))=A).
% 1.78/2.01  all A (rd(mult(A,A),A)=A).
% 1.78/2.01  all B A (mult(A,ld(A,B))=ld(A,mult(A,B))).
% 1.78/2.01  all B A (mult(rd(A,B),B)=rd(mult(A,B),B)).
% 1.78/2.01  all D C B A (ld(ld(A,B),mult(ld(A,B),mult(C,D)))=mult(ld(A,mult(A,C)),D)).
% 1.78/2.01  all D C B A (rd(mult(mult(A,B),rd(C,D)),rd(C,D))=mult(A,rd(mult(B,D),D))).
% 1.78/2.01  all B A (ld(A,mult(A,ld(B,B)))=rd(mult(rd(A,A),B),B)).
% 1.78/2.01  -(all X3 X4 X5 (mult(X3,ld(X4,mult(X4,X5)))=mult(X3,X5)&mult(rd(mult(X3,X4),X4),X5)=mult(X3,X5))).
% 1.78/2.01  end_of_list.
% 1.78/2.01  
% 1.78/2.01  -------> usable clausifies to:
% 1.78/2.01  
% 1.78/2.01  list(usable).
% 1.78/2.01  0 [] A=A.
% 1.78/2.01  0 [] ld(A,mult(A,A))=A.
% 1.78/2.01  0 [] rd(mult(A,A),A)=A.
% 1.78/2.01  0 [] mult(A,ld(A,B))=ld(A,mult(A,B)).
% 1.78/2.01  0 [] mult(rd(A,B),B)=rd(mult(A,B),B).
% 1.78/2.01  0 [] ld(ld(A,B),mult(ld(A,B),mult(C,D)))=mult(ld(A,mult(A,C)),D).
% 1.78/2.01  0 [] rd(mult(mult(A,B),rd(C,D)),rd(C,D))=mult(A,rd(mult(B,D),D)).
% 1.78/2.01  0 [] ld(A,mult(A,ld(B,B)))=rd(mult(rd(A,A),B),B).
% 1.78/2.01  0 [] mult($c3,ld($c2,mult($c2,$c1)))!=mult($c3,$c1)|mult(rd(mult($c3,$c2),$c2),$c1)!=mult($c3,$c1).
% 1.78/2.01  end_of_list.
% 1.78/2.01  
% 1.78/2.01  SCAN INPUT: prop=0, horn=1, equality=1, symmetry=0, max_lits=2.
% 1.78/2.01  
% 1.78/2.01  This is a Horn set with equality.  The strategy will be
% 1.78/2.01  Knuth-Bendix and hyper_res, with positive clauses in
% 1.78/2.01  sos and nonpositive clauses in usable.
% 1.78/2.01  
% 1.78/2.01     dependent: set(knuth_bendix).
% 1.78/2.01     dependent: set(anl_eq).
% 1.78/2.01     dependent: set(para_from).
% 1.78/2.01     dependent: set(para_into).
% 1.78/2.01     dependent: clear(para_from_right).
% 1.78/2.01     dependent: clear(para_into_right).
% 1.78/2.01     dependent: set(para_from_vars).
% 1.78/2.01     dependent: set(eq_units_both_ways).
% 1.78/2.01     dependent: set(dynamic_demod_all).
% 1.78/2.01     dependent: set(dynamic_demod).
% 1.78/2.01     dependent: set(order_eq).
% 1.78/2.01     dependent: set(back_demod).
% 1.78/2.01     dependent: set(lrpo).
% 1.78/2.01     dependent: set(hyper_res).
% 1.78/2.01     dependent: clear(order_hyper).
% 1.78/2.01  
% 1.78/2.01  ------------> process usable:
% 1.78/2.01  ** KEPT (pick-wt=22): 1 [] mult($c3,ld($c2,mult($c2,$c1)))!=mult($c3,$c1)|mult(rd(mult($c3,$c2),$c2),$c1)!=mult($c3,$c1).
% 1.78/2.01  
% 1.78/2.01  ------------> process sos:
% 1.78/2.01  ** KEPT (pick-wt=3): 2 [] A=A.
% 1.78/2.01  ** KEPT (pick-wt=7): 3 [] ld(A,mult(A,A))=A.
% 1.78/2.01  ---> New Demodulator: 4 [new_demod,3] ld(A,mult(A,A))=A.
% 1.78/2.01  ** KEPT (pick-wt=7): 5 [] rd(mult(A,A),A)=A.
% 1.78/2.01  ---> New Demodulator: 6 [new_demod,5] rd(mult(A,A),A)=A.
% 1.78/2.01  ** KEPT (pick-wt=11): 7 [] mult(A,ld(A,B))=ld(A,mult(A,B)).
% 1.78/2.01  ---> New Demodulator: 8 [new_demod,7] mult(A,ld(A,B))=ld(A,mult(A,B)).
% 1.78/2.01  ** KEPT (pick-wt=11): 10 [copy,9,flip.1] rd(mult(A,B),B)=mult(rd(A,B),B).
% 1.78/2.01  ---> New Demodulator: 11 [new_demod,10] rd(mult(A,B),B)=mult(rd(A,B),B).
% 1.78/2.01  ** KEPT (pick-wt=19): 12 [] ld(ld(A,B),mult(ld(A,B),mult(C,D)))=mult(ld(A,mult(A,C)),D).
% 1.78/2.01  ** KEPT (pick-wt=19): 14 [copy,13,demod,11,11] mult(rd(mult(A,B),rd(C,D)),rd(C,D))=mult(A,mult(rd(B,D),D)).
% 1.78/2.01  ---> New Demodulator: 15 [new_demod,14] mult(rd(mult(A,B),rd(C,D)),rd(C,D))=mult(A,mult(rd(B,D),D)).
% 1.78/2.01  ** KEPT (pick-wt=15): 17 [copy,16,demod,11,flip.1] mult(rd(rd(A,A),B),B)=ld(A,mult(A,ld(B,B))).
% 1.78/2.01  ---> New Demodulator: 18 [new_demod,17] mult(rd(rd(A,A),B),B)=ld(A,mult(A,ld(B,B))).
% 1.78/2.01    Following clause subsumed by 2 during input processing: 0 [copy,2,flip.1] A=A.
% 1.78/2.01  >>>> Starting back demodulation with 4.
% 1.78/2.01  >>>> Starting back demodulation with 6.
% 1.78/2.01  >>>> Starting back demodulation with 8.
% 1.78/2.01  >>>> Starting back demodulation with 11.
% 1.78/2.01      >> back demodulating 5 with 11.
% 1.78/2.01      >> back demodulating 1 with 11.
% 1.78/2.01  ** KEPT (pick-wt=19): 22 [copy,12,flip.1] mult(ld(A,mult(A,B)),C)=ld(ld(A,D),mult(ld(A,D),mult(B,C))).
% 1.78/2.01  >>>> Starting back demodulation with 15.
% 1.78/2.01  >>>> Starting back demodulation with 18.
% 1.78/2.01  >>>> Starting back demodulation with 20.
% 1.78/2.01    Following clause subsumed by 12 during input processing: 0 [copy,22,flip.1] ld(ld(A,B),mult(ld(A,B),mult(C,D)))=mult(ld(A,mult(A,C)),D).
% 1.78/2.06  
% 1.78/2.06  ======= end of input processing =======
% 1.78/2.06  
% 1.78/2.06  =========== start of search ===========
% 1.78/2.06  
% 1.78/2.06  
% 1.78/2.06  Resetting weight limit to 15.
% 1.78/2.06  
% 1.78/2.06  
% 1.78/2.06  Resetting weight limit to 15.
% 1.78/2.06  
% 1.78/2.06  sos_size=101
% 1.78/2.06  
% 1.78/2.06  
% 1.78/2.06  Resetting weight limit to 11.
% 1.78/2.06  
% 1.78/2.06  
% 1.78/2.06  Resetting weight limit to 11.
% 1.78/2.06  
% 1.78/2.06  sos_size=15
% 1.78/2.06  
% 1.78/2.06  Search stopped because sos empty.
% 1.78/2.06  
% 1.78/2.06  
% 1.78/2.06  Search stopped because sos empty.
% 1.78/2.06  
% 1.78/2.06  ============ end of search ============
% 1.78/2.06  
% 1.78/2.06  -------------- statistics -------------
% 1.78/2.06  clauses given                 86
% 1.78/2.06  clauses generated           2269
% 1.78/2.06  clauses kept                 247
% 1.78/2.06  clauses forward subsumed    1081
% 1.78/2.06  clauses back subsumed          4
% 1.78/2.06  Kbytes malloced             4882
% 1.78/2.06  
% 1.78/2.06  ----------- times (seconds) -----------
% 1.78/2.06  user CPU time          0.04          (0 hr, 0 min, 0 sec)
% 1.78/2.06  system CPU time        0.00          (0 hr, 0 min, 0 sec)
% 1.78/2.06  wall-clock time        1             (0 hr, 0 min, 1 sec)
% 1.78/2.06  
% 1.78/2.06  Process 14113 finished Wed Jul 27 04:57:01 2022
% 1.78/2.06  Otter interrupted
% 1.78/2.06  PROOF NOT FOUND
%------------------------------------------------------------------------------