TSTP Solution File: GRP778+1 by Otter---3.3

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Otter---3.3
% Problem  : GRP778+1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : otter-tptp-script %s

% Computer : n019.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 12:57:48 EDT 2022

% Result   : Unknown 17.41s 17.62s
% Output   : None 
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : GRP778+1 : TPTP v8.1.0. Released v4.1.0.
% 0.13/0.13  % Command  : otter-tptp-script %s
% 0.13/0.35  % Computer : n019.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Wed Jul 27 05:25:37 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 1.76/1.96  ----- Otter 3.3f, August 2004 -----
% 1.76/1.96  The process was started by sandbox on n019.cluster.edu,
% 1.76/1.96  Wed Jul 27 05:25:37 2022
% 1.76/1.96  The command was "./otter".  The process ID is 11371.
% 1.76/1.96  
% 1.76/1.96  set(prolog_style_variables).
% 1.76/1.96  set(auto).
% 1.76/1.96     dependent: set(auto1).
% 1.76/1.96     dependent: set(process_input).
% 1.76/1.96     dependent: clear(print_kept).
% 1.76/1.96     dependent: clear(print_new_demod).
% 1.76/1.96     dependent: clear(print_back_demod).
% 1.76/1.96     dependent: clear(print_back_sub).
% 1.76/1.96     dependent: set(control_memory).
% 1.76/1.96     dependent: assign(max_mem, 12000).
% 1.76/1.96     dependent: assign(pick_given_ratio, 4).
% 1.76/1.96     dependent: assign(stats_level, 1).
% 1.76/1.96     dependent: assign(max_seconds, 10800).
% 1.76/1.96  clear(print_given).
% 1.76/1.96  
% 1.76/1.96  formula_list(usable).
% 1.76/1.96  all A (A=A).
% 1.76/1.96  all B A (difference(A,product(A,B))=B).
% 1.76/1.96  all B A (product(A,difference(A,B))=B).
% 1.76/1.96  all B A (quotient(product(A,B),B)=A).
% 1.76/1.96  all B A (product(quotient(A,B),B)=A).
% 1.76/1.96  all D C B A (product(product(A,B),product(C,D))=product(product(A,C),product(B,D))).
% 1.76/1.96  all A (product(A,A)=A).
% 1.76/1.96  all B A (product(product(product(A,B),B),product(B,product(B,A)))=B).
% 1.76/1.96  all X0 X1 X2 (d(X0,X1,X2)<->product(X0,X1)=product(X1,X2)).
% 1.76/1.96  all X3 X4 X5 (m(X3,X4,X5)<->product(product(X3,X4),product(X4,X5))=product(X3,X5)).
% 1.76/1.96  d(a1,b,c).
% 1.76/1.96  d(a,b1,c).
% 1.76/1.96  d(a,b,c1).
% 1.76/1.96  d(a2,b1,c1).
% 1.76/1.96  d(a1,b2,c1).
% 1.76/1.96  d(a1,b1,c2).
% 1.76/1.96  -m(b1,b,b2).
% 1.76/1.96  end_of_list.
% 1.76/1.96  
% 1.76/1.96  -------> usable clausifies to:
% 1.76/1.96  
% 1.76/1.96  list(usable).
% 1.76/1.96  0 [] A=A.
% 1.76/1.96  0 [] difference(A,product(A,B))=B.
% 1.76/1.96  0 [] product(A,difference(A,B))=B.
% 1.76/1.96  0 [] quotient(product(A,B),B)=A.
% 1.76/1.96  0 [] product(quotient(A,B),B)=A.
% 1.76/1.96  0 [] product(product(A,B),product(C,D))=product(product(A,C),product(B,D)).
% 1.76/1.96  0 [] product(A,A)=A.
% 1.76/1.96  0 [] product(product(product(A,B),B),product(B,product(B,A)))=B.
% 1.76/1.96  0 [] -d(X0,X1,X2)|product(X0,X1)=product(X1,X2).
% 1.76/1.96  0 [] d(X0,X1,X2)|product(X0,X1)!=product(X1,X2).
% 1.76/1.96  0 [] -m(X3,X4,X5)|product(product(X3,X4),product(X4,X5))=product(X3,X5).
% 1.76/1.96  0 [] m(X3,X4,X5)|product(product(X3,X4),product(X4,X5))!=product(X3,X5).
% 1.76/1.96  0 [] d(a1,b,c).
% 1.76/1.96  0 [] d(a,b1,c).
% 1.76/1.96  0 [] d(a,b,c1).
% 1.76/1.96  0 [] d(a2,b1,c1).
% 1.76/1.96  0 [] d(a1,b2,c1).
% 1.76/1.96  0 [] d(a1,b1,c2).
% 1.76/1.96  0 [] -m(b1,b,b2).
% 1.76/1.96  end_of_list.
% 1.76/1.96  
% 1.76/1.96  SCAN INPUT: prop=0, horn=1, equality=1, symmetry=0, max_lits=2.
% 1.76/1.96  
% 1.76/1.96  This is a Horn set with equality.  The strategy will be
% 1.76/1.96  Knuth-Bendix and hyper_res, with positive clauses in
% 1.76/1.96  sos and nonpositive clauses in usable.
% 1.76/1.96  
% 1.76/1.96     dependent: set(knuth_bendix).
% 1.76/1.96     dependent: set(anl_eq).
% 1.76/1.96     dependent: set(para_from).
% 1.76/1.96     dependent: set(para_into).
% 1.76/1.96     dependent: clear(para_from_right).
% 1.76/1.96     dependent: clear(para_into_right).
% 1.76/1.96     dependent: set(para_from_vars).
% 1.76/1.96     dependent: set(eq_units_both_ways).
% 1.76/1.96     dependent: set(dynamic_demod_all).
% 1.76/1.96     dependent: set(dynamic_demod).
% 1.76/1.96     dependent: set(order_eq).
% 1.76/1.96     dependent: set(back_demod).
% 1.76/1.96     dependent: set(lrpo).
% 1.76/1.96     dependent: set(hyper_res).
% 1.76/1.96     dependent: clear(order_hyper).
% 1.76/1.96  
% 1.76/1.96  ------------> process usable:
% 1.76/1.96  ** KEPT (pick-wt=11): 1 [] -d(A,B,C)|product(A,B)=product(B,C).
% 1.76/1.96  ** KEPT (pick-wt=11): 2 [] d(A,B,C)|product(A,B)!=product(B,C).
% 1.76/1.96  ** KEPT (pick-wt=15): 3 [] -m(A,B,C)|product(product(A,B),product(B,C))=product(A,C).
% 1.76/1.96  ** KEPT (pick-wt=15): 4 [] m(A,B,C)|product(product(A,B),product(B,C))!=product(A,C).
% 1.76/1.96  ** KEPT (pick-wt=4): 5 [] -m(b1,b,b2).
% 1.76/1.96  
% 1.76/1.96  ------------> process sos:
% 1.76/1.96  ** KEPT (pick-wt=3): 6 [] A=A.
% 1.76/1.96  ** KEPT (pick-wt=7): 7 [] difference(A,product(A,B))=B.
% 1.76/1.96  ---> New Demodulator: 8 [new_demod,7] difference(A,product(A,B))=B.
% 1.76/1.96  ** KEPT (pick-wt=7): 9 [] product(A,difference(A,B))=B.
% 1.76/1.96  ---> New Demodulator: 10 [new_demod,9] product(A,difference(A,B))=B.
% 1.76/1.96  ** KEPT (pick-wt=7): 11 [] quotient(product(A,B),B)=A.
% 1.76/1.96  ---> New Demodulator: 12 [new_demod,11] quotient(product(A,B),B)=A.
% 1.76/1.96  ** KEPT (pick-wt=7): 13 [] product(quotient(A,B),B)=A.
% 1.76/1.96  ---> New Demodulator: 14 [new_demod,13] product(quotient(A,B),B)=A.
% 1.76/1.96  ** KEPT (pick-wt=15): 15 [] product(product(A,B),product(C,D))=product(product(A,C),product(B,D)).
% 1.76/1.96  ** KEPT (pick-wt=5): 16 [] product(A,A)=A.
% 1.76/1.96  ---> New Demodulator: 17 [new_demod,16] product(A,A)=A.
% 1.76/1.96  ** KEPT (pick-wt=13): 18 [] product(product(product(A,B),B),product(B,product(B,A)))=B.
% 1.76/1.96  ---> New Demodulator: 19 [new_demod,18] product(product(product(A,B),B),product(B,product(B,A)))=B.
% 1.76/1.96  ** KEPT (pick-wt=4): 20 [] d(a1,b,c).
% 1.76/1.96  ** KEPT (pick-wt=4): 21 [] d(a,b1,c).
% 1.76/1.96  ** KEPT (pick-wt=4): 22 [] d(a,b,c1).
% 17.41/17.61  ** KEPT (pick-wt=4): 23 [] d(a2,b1,c1).
% 17.41/17.61  ** KEPT (pick-wt=4): 24 [] d(a1,b2,c1).
% 17.41/17.61  ** KEPT (pick-wt=4): 25 [] d(a1,b1,c2).
% 17.41/17.61    Following clause subsumed by 6 during input processing: 0 [copy,6,flip.1] A=A.
% 17.41/17.61  >>>> Starting back demodulation with 8.
% 17.41/17.61  >>>> Starting back demodulation with 10.
% 17.41/17.61  >>>> Starting back demodulation with 12.
% 17.41/17.61  >>>> Starting back demodulation with 14.
% 17.41/17.61    Following clause subsumed by 15 during input processing: 0 [copy,15,flip.1] product(product(A,B),product(C,D))=product(product(A,C),product(B,D)).
% 17.41/17.61  >>>> Starting back demodulation with 17.
% 17.41/17.61  >>>> Starting back demodulation with 19.
% 17.41/17.61  
% 17.41/17.61  ======= end of input processing =======
% 17.41/17.61  
% 17.41/17.61  =========== start of search ===========
% 17.41/17.61  
% 17.41/17.61  
% 17.41/17.61  Resetting weight limit to 8.
% 17.41/17.61  
% 17.41/17.61  
% 17.41/17.61  Resetting weight limit to 8.
% 17.41/17.61  
% 17.41/17.61  sos_size=2355
% 17.41/17.61  
% 17.41/17.61  Search stopped because sos empty.
% 17.41/17.61  
% 17.41/17.61  
% 17.41/17.61  Search stopped because sos empty.
% 17.41/17.61  
% 17.41/17.61  ============ end of search ============
% 17.41/17.61  
% 17.41/17.61  -------------- statistics -------------
% 17.41/17.61  clauses given               3182
% 17.41/17.61  clauses generated        6327835
% 17.41/17.61  clauses kept                3292
% 17.41/17.61  clauses forward subsumed    7528
% 17.41/17.61  clauses back subsumed        109
% 17.41/17.61  Kbytes malloced             6835
% 17.41/17.61  
% 17.41/17.61  ----------- times (seconds) -----------
% 17.41/17.61  user CPU time         15.65          (0 hr, 0 min, 15 sec)
% 17.41/17.61  system CPU time        0.01          (0 hr, 0 min, 0 sec)
% 17.41/17.61  wall-clock time       17             (0 hr, 0 min, 17 sec)
% 17.41/17.61  
% 17.41/17.61  Process 11371 finished Wed Jul 27 05:25:54 2022
% 17.41/17.61  Otter interrupted
% 17.41/17.61  PROOF NOT FOUND
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