TSTP Solution File: GRP394+3 by Otter---3.3

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Otter---3.3
% Problem  : GRP394+3 : TPTP v8.1.0. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : otter-tptp-script %s

% Computer : n017.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 12:56:56 EDT 2022

% Result   : Unknown 1.64s 1.89s
% Output   : None 
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11  % Problem  : GRP394+3 : TPTP v8.1.0. Released v2.5.0.
% 0.07/0.12  % Command  : otter-tptp-script %s
% 0.12/0.33  % Computer : n017.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 04:21:03 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 1.64/1.88  ----- Otter 3.3f, August 2004 -----
% 1.64/1.88  The process was started by sandbox2 on n017.cluster.edu,
% 1.64/1.88  Wed Jul 27 04:21:03 2022
% 1.64/1.88  The command was "./otter".  The process ID is 10314.
% 1.64/1.88  
% 1.64/1.88  set(prolog_style_variables).
% 1.64/1.88  set(auto).
% 1.64/1.88     dependent: set(auto1).
% 1.64/1.88     dependent: set(process_input).
% 1.64/1.88     dependent: clear(print_kept).
% 1.64/1.88     dependent: clear(print_new_demod).
% 1.64/1.88     dependent: clear(print_back_demod).
% 1.64/1.88     dependent: clear(print_back_sub).
% 1.64/1.88     dependent: set(control_memory).
% 1.64/1.88     dependent: assign(max_mem, 12000).
% 1.64/1.88     dependent: assign(pick_given_ratio, 4).
% 1.64/1.88     dependent: assign(stats_level, 1).
% 1.64/1.88     dependent: assign(max_seconds, 10800).
% 1.64/1.88  clear(print_given).
% 1.64/1.88  
% 1.64/1.88  formula_list(usable).
% 1.64/1.88  all A (A=A).
% 1.64/1.88  all X (multiply(identity,X)=X).
% 1.64/1.88  all X (multiply(inverse(X),X)=identity).
% 1.64/1.88  all X Y Z (multiply(multiply(X,Y),Z)=multiply(X,multiply(Y,Z))).
% 1.64/1.88  end_of_list.
% 1.64/1.88  
% 1.64/1.88  -------> usable clausifies to:
% 1.64/1.88  
% 1.64/1.88  list(usable).
% 1.64/1.88  0 [] A=A.
% 1.64/1.88  0 [] multiply(identity,X)=X.
% 1.64/1.88  0 [] multiply(inverse(X),X)=identity.
% 1.64/1.88  0 [] multiply(multiply(X,Y),Z)=multiply(X,multiply(Y,Z)).
% 1.64/1.88  end_of_list.
% 1.64/1.88  
% 1.64/1.88  SCAN INPUT: prop=0, horn=1, equality=1, symmetry=0, max_lits=1.
% 1.64/1.88  
% 1.64/1.88  All clauses are units, and equality is present; the
% 1.64/1.88  strategy will be Knuth-Bendix with positive clauses in sos.
% 1.64/1.88  
% 1.64/1.88     dependent: set(knuth_bendix).
% 1.64/1.88     dependent: set(anl_eq).
% 1.64/1.88     dependent: set(para_from).
% 1.64/1.88     dependent: set(para_into).
% 1.64/1.88     dependent: clear(para_from_right).
% 1.64/1.88     dependent: clear(para_into_right).
% 1.64/1.88     dependent: set(para_from_vars).
% 1.64/1.88     dependent: set(eq_units_both_ways).
% 1.64/1.88     dependent: set(dynamic_demod_all).
% 1.64/1.88     dependent: set(dynamic_demod).
% 1.64/1.88     dependent: set(order_eq).
% 1.64/1.88     dependent: set(back_demod).
% 1.64/1.88     dependent: set(lrpo).
% 1.64/1.88  
% 1.64/1.88  There is no negative clause, so all clause lists will
% 1.64/1.88  be printed at the end of the search.
% 1.64/1.88  
% 1.64/1.88     dependent: set(print_lists_at_end).
% 1.64/1.88  
% 1.64/1.88  ------------> process usable:
% 1.64/1.88  
% 1.64/1.88  ------------> process sos:
% 1.64/1.88  ** KEPT (pick-wt=3): 1 [] A=A.
% 1.64/1.88  ** KEPT (pick-wt=5): 2 [] multiply(identity,A)=A.
% 1.64/1.88  ---> New Demodulator: 3 [new_demod,2] multiply(identity,A)=A.
% 1.64/1.88  ** KEPT (pick-wt=6): 4 [] multiply(inverse(A),A)=identity.
% 1.64/1.88  ---> New Demodulator: 5 [new_demod,4] multiply(inverse(A),A)=identity.
% 1.64/1.88  ** KEPT (pick-wt=11): 6 [] multiply(multiply(A,B),C)=multiply(A,multiply(B,C)).
% 1.64/1.88  ---> New Demodulator: 7 [new_demod,6] multiply(multiply(A,B),C)=multiply(A,multiply(B,C)).
% 1.64/1.88    Following clause subsumed by 1 during input processing: 0 [copy,1,flip.1] A=A.
% 1.64/1.88  >>>> Starting back demodulation with 3.
% 1.64/1.88  >>>> Starting back demodulation with 5.
% 1.64/1.88  >>>> Starting back demodulation with 7.
% 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  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  list(usable).
% 1.64/1.88  1 [] A=A.
% 1.64/1.88  2 [] multiply(identity,A)=A.
% 1.64/1.88  4 [] multiply(inverse(A),A)=identity.
% 1.64/1.88  6 [] multiply(multiply(A,B),C)=multiply(A,multiply(B,C)).
% 1.64/1.88  8 [para_into,6.1.1.1,4.1.1,demod,3,flip.1] multiply(inverse(A),multiply(A,B))=B.
% 1.64/1.88  14 [para_into,8.1.1.2,4.1.1,demod,11] multiply(A,identity)=A.
% 1.64/1.88  24 [para_into,14.1.1,4.1.1,flip.1] inverse(identity)=identity.
% 1.64/1.88  22 [para_into,14.1.1,10.1.1,demod,15,flip.1] inverse(inverse(A))=A.
% 1.64/1.88  20 [para_into,10.1.1,4.1.1,flip.1] multiply(A,inverse(A))=identity.
% 1.64/1.88  18 [para_into,10.1.1,8.1.1,flip.1] multiply(A,multiply(inverse(A),B))=B.
% 1.64/1.88  44 [para_into,30.1.1.1.1,8.1.1,flip.1] inverse(multiply(A,B))=multiply(inverse(B),inverse(A)).
% 1.64/1.88  end_of_list.
% 1.64/1.88  
% 1.64/1.88  list(sos).
% 1.64/1.88  end_of_list.
% 1.64/1.88  
% 1.64/1.88  list(demodulators).
% 1.64/1.88  3 [new_demod,2] multiply(identity,A)=A.
% 1.64/1.88  5 [new_demod,4] multiply(inverse(A),A)=identity.
% 1.64/1.88  7 [new_demod,6] multiply(multiply(A,B),C)=multiply(A,multiply(B,C)).
% 1.64/1.88  9 [new_demod,8] multiply(inverse(A),multiply(A,B))=B.
% 1.64/1.88  15 [new_demod,14] multiply(A,identity)=A.
% 1.64/1.88  19 [new_demod,18] multiply(A,multiply(inverse(A),B))=B.
% 1.64/1.88  21 [new_demod,20] multiply(A,inverse(A))=identity.
% 1.64/1.88  23 [new_demod,22] inverse(inverse(A))=A.
% 1.64/1.88  25 [new_demod,24] inverse(identity)=identity.
% 1.64/1.88  45 [new_demod,44] inverse(multiply(A,B))=multiply(inverse(B),inverse(A)).
% 1.64/1.88  end_of_list.
% 1.64/1.88  
% 1.64/1.88  
% 1.64/1.88  -------------- statistics -------------
% 1.64/1.88  clauses given                 14
% 1.64/1.88  clauses generated            128
% 1.64/1.88  clauses kept                  23
% 1.64/1.88  clauses forward subsumed     122
% 1.64/1.88  clauses back subsumed          0
% 1.64/1.88  Kbytes malloced              976
% 1.64/1.88  
% 1.64/1.88  ----------- times (seconds) -----------
% 1.64/1.88  user CPU time          0.00          (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 10314 finished Wed Jul 27 04:21:04 2022
% 1.64/1.88  Otter interrupted
% 1.64/1.88  PROOF NOT FOUND
%------------------------------------------------------------------------------