TSTP Solution File: GRP114-1 by Otter---3.3

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Otter---3.3
% Problem  : GRP114-1 : TPTP v8.1.0. Released v1.2.0.
% 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 12:56:05 EDT 2022

% Result   : Unknown 3.47s 3.68s
% Output   : None 
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : GRP114-1 : TPTP v8.1.0. Released v1.2.0.
% 0.07/0.13  % Command  : otter-tptp-script %s
% 0.12/0.34  % Computer : n008.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 300
% 0.12/0.34  % DateTime : Wed Jul 27 05:23:53 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 1.77/1.96  ----- Otter 3.3f, August 2004 -----
% 1.77/1.96  The process was started by sandbox on n008.cluster.edu,
% 1.77/1.96  Wed Jul 27 05:23:53 2022
% 1.77/1.96  The command was "./otter".  The process ID is 24317.
% 1.77/1.96  
% 1.77/1.96  set(prolog_style_variables).
% 1.77/1.96  set(auto).
% 1.77/1.96     dependent: set(auto1).
% 1.77/1.96     dependent: set(process_input).
% 1.77/1.96     dependent: clear(print_kept).
% 1.77/1.96     dependent: clear(print_new_demod).
% 1.77/1.96     dependent: clear(print_back_demod).
% 1.77/1.96     dependent: clear(print_back_sub).
% 1.77/1.96     dependent: set(control_memory).
% 1.77/1.96     dependent: assign(max_mem, 12000).
% 1.77/1.96     dependent: assign(pick_given_ratio, 4).
% 1.77/1.96     dependent: assign(stats_level, 1).
% 1.77/1.96     dependent: assign(max_seconds, 10800).
% 1.77/1.96  clear(print_given).
% 1.77/1.96  
% 1.77/1.96  list(usable).
% 1.77/1.96  0 [] A=A.
% 1.77/1.96  0 [] multiply(identity,X)=X.
% 1.77/1.96  0 [] multiply(inverse(X),X)=identity.
% 1.77/1.96  0 [] multiply(multiply(X,Y),Z)=multiply(X,multiply(Y,Z)).
% 1.77/1.96  0 [] inverse(identity)=identity.
% 1.77/1.96  0 [] inverse(inverse(X))=X.
% 1.77/1.96  0 [] inverse(multiply(X,Y))=multiply(inverse(Y),inverse(X)).
% 1.77/1.96  0 [] intersection(X,X)=X.
% 1.77/1.96  0 [] union(X,X)=X.
% 1.77/1.96  0 [] intersection(X,Y)=intersection(Y,X).
% 1.77/1.96  0 [] union(X,Y)=union(Y,X).
% 1.77/1.96  0 [] intersection(X,intersection(Y,Z))=intersection(intersection(X,Y),Z).
% 1.77/1.96  0 [] union(X,union(Y,Z))=union(union(X,Y),Z).
% 1.77/1.96  0 [] union(intersection(X,Y),Y)=Y.
% 1.77/1.96  0 [] intersection(union(X,Y),Y)=Y.
% 1.77/1.96  0 [] multiply(X,union(Y,Z))=union(multiply(X,Y),multiply(X,Z)).
% 1.77/1.96  0 [] multiply(X,intersection(Y,Z))=intersection(multiply(X,Y),multiply(X,Z)).
% 1.77/1.96  0 [] multiply(union(Y,Z),X)=union(multiply(Y,X),multiply(Z,X)).
% 1.77/1.96  0 [] multiply(intersection(Y,Z),X)=intersection(multiply(Y,X),multiply(Z,X)).
% 1.77/1.96  0 [] positive_part(X)=union(X,identity).
% 1.77/1.96  0 [] negative_part(X)=intersection(X,identity).
% 1.77/1.96  0 [] multiply(positive_part(a),negative_part(a))!=a.
% 1.77/1.96  end_of_list.
% 1.77/1.96  
% 1.77/1.96  SCAN INPUT: prop=0, horn=1, equality=1, symmetry=0, max_lits=1.
% 1.77/1.96  
% 1.77/1.96  All clauses are units, and equality is present; the
% 1.77/1.96  strategy will be Knuth-Bendix with positive clauses in sos.
% 1.77/1.96  
% 1.77/1.96     dependent: set(knuth_bendix).
% 1.77/1.96     dependent: set(anl_eq).
% 1.77/1.96     dependent: set(para_from).
% 1.77/1.96     dependent: set(para_into).
% 1.77/1.96     dependent: clear(para_from_right).
% 1.77/1.96     dependent: clear(para_into_right).
% 1.77/1.96     dependent: set(para_from_vars).
% 1.77/1.96     dependent: set(eq_units_both_ways).
% 1.77/1.96     dependent: set(dynamic_demod_all).
% 1.77/1.96     dependent: set(dynamic_demod).
% 1.77/1.96     dependent: set(order_eq).
% 1.77/1.96     dependent: set(back_demod).
% 1.77/1.96     dependent: set(lrpo).
% 1.77/1.96  
% 1.77/1.96  ------------> process usable:
% 1.77/1.96  ** KEPT (pick-wt=7): 1 [] multiply(positive_part(a),negative_part(a))!=a.
% 1.77/1.96  
% 1.77/1.96  ------------> process sos:
% 1.77/1.96  ** KEPT (pick-wt=3): 2 [] A=A.
% 1.77/1.96  ** KEPT (pick-wt=5): 3 [] multiply(identity,A)=A.
% 1.77/1.96  ---> New Demodulator: 4 [new_demod,3] multiply(identity,A)=A.
% 1.77/1.96  ** KEPT (pick-wt=6): 5 [] multiply(inverse(A),A)=identity.
% 1.77/1.96  ---> New Demodulator: 6 [new_demod,5] multiply(inverse(A),A)=identity.
% 1.77/1.96  ** KEPT (pick-wt=11): 7 [] multiply(multiply(A,B),C)=multiply(A,multiply(B,C)).
% 1.77/1.96  ---> New Demodulator: 8 [new_demod,7] multiply(multiply(A,B),C)=multiply(A,multiply(B,C)).
% 1.77/1.96  ** KEPT (pick-wt=4): 9 [] inverse(identity)=identity.
% 1.77/1.96  ---> New Demodulator: 10 [new_demod,9] inverse(identity)=identity.
% 1.77/1.96  ** KEPT (pick-wt=5): 11 [] inverse(inverse(A))=A.
% 1.77/1.96  ---> New Demodulator: 12 [new_demod,11] inverse(inverse(A))=A.
% 1.77/1.96  ** KEPT (pick-wt=10): 13 [] inverse(multiply(A,B))=multiply(inverse(B),inverse(A)).
% 1.77/1.96  ---> New Demodulator: 14 [new_demod,13] inverse(multiply(A,B))=multiply(inverse(B),inverse(A)).
% 1.77/1.96  ** KEPT (pick-wt=5): 15 [] intersection(A,A)=A.
% 1.77/1.96  ---> New Demodulator: 16 [new_demod,15] intersection(A,A)=A.
% 1.77/1.96  ** KEPT (pick-wt=5): 17 [] union(A,A)=A.
% 1.77/1.96  ---> New Demodulator: 18 [new_demod,17] union(A,A)=A.
% 1.77/1.96  ** KEPT (pick-wt=7): 19 [] intersection(A,B)=intersection(B,A).
% 1.77/1.96  ** KEPT (pick-wt=7): 20 [] union(A,B)=union(B,A).
% 1.77/1.96  ** KEPT (pick-wt=11): 22 [copy,21,flip.1] intersection(intersection(A,B),C)=intersection(A,intersection(B,C)).
% 1.77/1.96  ---> New Demodulator: 23 [new_demod,22] intersection(intersection(A,B),C)=intersection(A,intersection(B,C)).
% 1.77/1.96  ** KEPT (pick-wt=11): 25 [copy,24,flip.1] union(union(A,B),C)=union(A,union(B,C)).
% 1.77/1.96  ---> New Demodulator: 26 [new_demod,25] union(union(A,B),C)=union(A,union(B,C)).
% 1.77/1.96  ** KEPT (pick-wt=7): 27 [] union(intersection(A,B),B)=B.
% 1.77/1.96  ---> New Demodulator: 28 [new_demod,27] union(intersection(A,B),B)=B.
% 1.77/1.96  ** KEPT (pick-wt=7): 29 [] intersection(union(A,B),B)=B.
% 3.47/3.68  ---> New Demodulator: 30 [new_demod,29] intersection(union(A,B),B)=B.
% 3.47/3.68  ** KEPT (pick-wt=13): 32 [copy,31,flip.1] union(multiply(A,B),multiply(A,C))=multiply(A,union(B,C)).
% 3.47/3.68  ---> New Demodulator: 33 [new_demod,32] union(multiply(A,B),multiply(A,C))=multiply(A,union(B,C)).
% 3.47/3.68  ** KEPT (pick-wt=13): 34 [] multiply(A,intersection(B,C))=intersection(multiply(A,B),multiply(A,C)).
% 3.47/3.68  ---> New Demodulator: 35 [new_demod,34] multiply(A,intersection(B,C))=intersection(multiply(A,B),multiply(A,C)).
% 3.47/3.68  ** KEPT (pick-wt=13): 37 [copy,36,flip.1] union(multiply(A,B),multiply(C,B))=multiply(union(A,C),B).
% 3.47/3.68  ---> New Demodulator: 38 [new_demod,37] union(multiply(A,B),multiply(C,B))=multiply(union(A,C),B).
% 3.47/3.68  ** KEPT (pick-wt=13): 39 [] multiply(intersection(A,B),C)=intersection(multiply(A,C),multiply(B,C)).
% 3.47/3.68  ---> New Demodulator: 40 [new_demod,39] multiply(intersection(A,B),C)=intersection(multiply(A,C),multiply(B,C)).
% 3.47/3.68  ** KEPT (pick-wt=6): 41 [] positive_part(A)=union(A,identity).
% 3.47/3.68  ---> New Demodulator: 42 [new_demod,41] positive_part(A)=union(A,identity).
% 3.47/3.68  ** KEPT (pick-wt=6): 43 [] negative_part(A)=intersection(A,identity).
% 3.47/3.68  ---> New Demodulator: 44 [new_demod,43] negative_part(A)=intersection(A,identity).
% 3.47/3.68    Following clause subsumed by 2 during input processing: 0 [copy,2,flip.1] A=A.
% 3.47/3.68  >>>> Starting back demodulation with 4.
% 3.47/3.68  >>>> Starting back demodulation with 6.
% 3.47/3.68  >>>> Starting back demodulation with 8.
% 3.47/3.68  >>>> Starting back demodulation with 10.
% 3.47/3.68  >>>> Starting back demodulation with 12.
% 3.47/3.68  >>>> Starting back demodulation with 14.
% 3.47/3.68  >>>> Starting back demodulation with 16.
% 3.47/3.68  >>>> Starting back demodulation with 18.
% 3.47/3.68    Following clause subsumed by 19 during input processing: 0 [copy,19,flip.1] intersection(A,B)=intersection(B,A).
% 3.47/3.68    Following clause subsumed by 20 during input processing: 0 [copy,20,flip.1] union(A,B)=union(B,A).
% 3.47/3.68  >>>> Starting back demodulation with 23.
% 3.47/3.68  >>>> Starting back demodulation with 26.
% 3.47/3.68  >>>> Starting back demodulation with 28.
% 3.47/3.68  >>>> Starting back demodulation with 30.
% 3.47/3.68  >>>> Starting back demodulation with 33.
% 3.47/3.68  >>>> Starting back demodulation with 35.
% 3.47/3.68  >>>> Starting back demodulation with 38.
% 3.47/3.68  >>>> Starting back demodulation with 40.
% 3.47/3.68  >>>> Starting back demodulation with 42.
% 3.47/3.68      >> back demodulating 1 with 42.
% 3.47/3.68  >>>> Starting back demodulation with 44.
% 3.47/3.68  
% 3.47/3.68  ======= end of input processing =======
% 3.47/3.68  
% 3.47/3.68  =========== start of search ===========
% 3.47/3.68  
% 3.47/3.68  
% 3.47/3.68  Resetting weight limit to 11.
% 3.47/3.68  
% 3.47/3.68  
% 3.47/3.68  Resetting weight limit to 11.
% 3.47/3.68  
% 3.47/3.68  sos_size=449
% 3.47/3.68  
% 3.47/3.68  Search stopped because sos empty.
% 3.47/3.68  
% 3.47/3.68  
% 3.47/3.68  Search stopped because sos empty.
% 3.47/3.68  
% 3.47/3.68  ============ end of search ============
% 3.47/3.68  
% 3.47/3.68  -------------- statistics -------------
% 3.47/3.68  clauses given                624
% 3.47/3.68  clauses generated         287972
% 3.47/3.68  clauses kept                 648
% 3.47/3.68  clauses forward subsumed   97138
% 3.47/3.68  clauses back subsumed          0
% 3.47/3.68  Kbytes malloced             8789
% 3.47/3.68  
% 3.47/3.68  ----------- times (seconds) -----------
% 3.47/3.68  user CPU time          1.71          (0 hr, 0 min, 1 sec)
% 3.47/3.68  system CPU time        0.01          (0 hr, 0 min, 0 sec)
% 3.47/3.68  wall-clock time        4             (0 hr, 0 min, 4 sec)
% 3.47/3.68  
% 3.47/3.68  Process 24317 finished Wed Jul 27 05:23:57 2022
% 3.47/3.68  Otter interrupted
% 3.47/3.68  PROOF NOT FOUND
%------------------------------------------------------------------------------