TSTP Solution File: BOO008-2 by Otter---3.3

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Otter---3.3
% Problem  : BOO008-2 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : otter-tptp-script %s

% Computer : n010.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 12:47:32 EDT 2022

% Result   : Unknown 2.95s 3.20s
% Output   : None 
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.11  % Problem  : BOO008-2 : TPTP v8.1.0. Released v1.0.0.
% 0.09/0.12  % Command  : otter-tptp-script %s
% 0.12/0.32  % Computer : n010.cluster.edu
% 0.12/0.32  % Model    : x86_64 x86_64
% 0.12/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32  % Memory   : 8042.1875MB
% 0.12/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32  % CPULimit : 300
% 0.12/0.32  % WCLimit  : 300
% 0.12/0.32  % DateTime : Wed Jul 27 02:24:25 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 1.68/1.88  ----- Otter 3.3f, August 2004 -----
% 1.68/1.88  The process was started by sandbox2 on n010.cluster.edu,
% 1.68/1.88  Wed Jul 27 02:24:25 2022
% 1.68/1.88  The command was "./otter".  The process ID is 14818.
% 1.68/1.88  
% 1.68/1.88  set(prolog_style_variables).
% 1.68/1.88  set(auto).
% 1.68/1.88     dependent: set(auto1).
% 1.68/1.88     dependent: set(process_input).
% 1.68/1.88     dependent: clear(print_kept).
% 1.68/1.88     dependent: clear(print_new_demod).
% 1.68/1.88     dependent: clear(print_back_demod).
% 1.68/1.88     dependent: clear(print_back_sub).
% 1.68/1.88     dependent: set(control_memory).
% 1.68/1.88     dependent: assign(max_mem, 12000).
% 1.68/1.88     dependent: assign(pick_given_ratio, 4).
% 1.68/1.88     dependent: assign(stats_level, 1).
% 1.68/1.88     dependent: assign(max_seconds, 10800).
% 1.68/1.88  clear(print_given).
% 1.68/1.88  
% 1.68/1.88  list(usable).
% 1.68/1.88  0 [] A=A.
% 1.68/1.88  0 [] add(X,Y)=add(Y,X).
% 1.68/1.88  0 [] multiply(X,Y)=multiply(Y,X).
% 1.68/1.88  0 [] add(multiply(X,Y),Z)=multiply(add(X,Z),add(Y,Z)).
% 1.68/1.88  0 [] add(X,multiply(Y,Z))=multiply(add(X,Y),add(X,Z)).
% 1.68/1.88  0 [] multiply(add(X,Y),Z)=add(multiply(X,Z),multiply(Y,Z)).
% 1.68/1.88  0 [] multiply(X,add(Y,Z))=add(multiply(X,Y),multiply(X,Z)).
% 1.68/1.88  0 [] add(X,inverse(X))=multiplicative_identity.
% 1.68/1.88  0 [] add(inverse(X),X)=multiplicative_identity.
% 1.68/1.88  0 [] multiply(X,inverse(X))=additive_identity.
% 1.68/1.88  0 [] multiply(inverse(X),X)=additive_identity.
% 1.68/1.88  0 [] multiply(X,multiplicative_identity)=X.
% 1.68/1.88  0 [] multiply(multiplicative_identity,X)=X.
% 1.68/1.88  0 [] add(X,additive_identity)=X.
% 1.68/1.88  0 [] add(additive_identity,X)=X.
% 1.68/1.88  0 [] add(a,add(b,c))!=add(add(a,b),c).
% 1.68/1.88  end_of_list.
% 1.68/1.88  
% 1.68/1.88  SCAN INPUT: prop=0, horn=1, equality=1, symmetry=0, max_lits=1.
% 1.68/1.88  
% 1.68/1.88  All clauses are units, and equality is present; the
% 1.68/1.88  strategy will be Knuth-Bendix with positive clauses in sos.
% 1.68/1.88  
% 1.68/1.88     dependent: set(knuth_bendix).
% 1.68/1.88     dependent: set(anl_eq).
% 1.68/1.88     dependent: set(para_from).
% 1.68/1.88     dependent: set(para_into).
% 1.68/1.88     dependent: clear(para_from_right).
% 1.68/1.88     dependent: clear(para_into_right).
% 1.68/1.88     dependent: set(para_from_vars).
% 1.68/1.88     dependent: set(eq_units_both_ways).
% 1.68/1.88     dependent: set(dynamic_demod_all).
% 1.68/1.88     dependent: set(dynamic_demod).
% 1.68/1.88     dependent: set(order_eq).
% 1.68/1.88     dependent: set(back_demod).
% 1.68/1.88     dependent: set(lrpo).
% 1.68/1.88  
% 1.68/1.88  ------------> process usable:
% 1.68/1.88  ** KEPT (pick-wt=11): 2 [copy,1,flip.1] add(add(a,b),c)!=add(a,add(b,c)).
% 1.68/1.88  
% 1.68/1.88  ------------> process sos:
% 1.68/1.88  ** KEPT (pick-wt=3): 3 [] A=A.
% 1.68/1.88  ** KEPT (pick-wt=7): 4 [] add(A,B)=add(B,A).
% 1.68/1.88  ** KEPT (pick-wt=7): 5 [] multiply(A,B)=multiply(B,A).
% 1.68/1.88  ** KEPT (pick-wt=13): 7 [copy,6,flip.1] multiply(add(A,B),add(C,B))=add(multiply(A,C),B).
% 1.68/1.88  ---> New Demodulator: 8 [new_demod,7] multiply(add(A,B),add(C,B))=add(multiply(A,C),B).
% 1.68/1.88  ** KEPT (pick-wt=13): 10 [copy,9,flip.1] multiply(add(A,B),add(A,C))=add(A,multiply(B,C)).
% 1.68/1.88  ---> New Demodulator: 11 [new_demod,10] multiply(add(A,B),add(A,C))=add(A,multiply(B,C)).
% 1.68/1.88  ** KEPT (pick-wt=13): 12 [] multiply(add(A,B),C)=add(multiply(A,C),multiply(B,C)).
% 1.68/1.88  ---> New Demodulator: 13 [new_demod,12] multiply(add(A,B),C)=add(multiply(A,C),multiply(B,C)).
% 1.68/1.88  ** KEPT (pick-wt=13): 14 [] multiply(A,add(B,C))=add(multiply(A,B),multiply(A,C)).
% 1.68/1.88  ---> New Demodulator: 15 [new_demod,14] multiply(A,add(B,C))=add(multiply(A,B),multiply(A,C)).
% 1.68/1.88  ** KEPT (pick-wt=6): 16 [] add(A,inverse(A))=multiplicative_identity.
% 1.68/1.88  ---> New Demodulator: 17 [new_demod,16] add(A,inverse(A))=multiplicative_identity.
% 1.68/1.88  ** KEPT (pick-wt=6): 18 [] add(inverse(A),A)=multiplicative_identity.
% 1.68/1.88  ---> New Demodulator: 19 [new_demod,18] add(inverse(A),A)=multiplicative_identity.
% 1.68/1.88  ** KEPT (pick-wt=6): 20 [] multiply(A,inverse(A))=additive_identity.
% 1.68/1.88  ---> New Demodulator: 21 [new_demod,20] multiply(A,inverse(A))=additive_identity.
% 1.68/1.88  ** KEPT (pick-wt=6): 22 [] multiply(inverse(A),A)=additive_identity.
% 1.68/1.88  ---> New Demodulator: 23 [new_demod,22] multiply(inverse(A),A)=additive_identity.
% 1.68/1.88  ** KEPT (pick-wt=5): 24 [] multiply(A,multiplicative_identity)=A.
% 1.68/1.88  ---> New Demodulator: 25 [new_demod,24] multiply(A,multiplicative_identity)=A.
% 1.68/1.88  ** KEPT (pick-wt=5): 26 [] multiply(multiplicative_identity,A)=A.
% 1.68/1.88  ---> New Demodulator: 27 [new_demod,26] multiply(multiplicative_identity,A)=A.
% 1.68/1.88  ** KEPT (pick-wt=5): 28 [] add(A,additive_identity)=A.
% 1.68/1.88  ---> New Demodulator: 29 [new_demod,28] add(A,additive_identity)=A.
% 1.68/1.88  ** KEPT (pick-wt=5): 30 [] add(additive_identity,A)=A.
% 1.68/1.88  ---> New Demodulator: 31 [new_demod,30] add(additive_identity,A)=A.
% 1.68/1.88    Following clause subsumed by 3 during input processing: 0 [copy,3,flip.1] A=A.
% 2.95/3.20    Following clause subsumed by 4 during input processing: 0 [copy,4,flip.1] add(A,B)=add(B,A).
% 2.95/3.20    Following clause subsumed by 5 during input processing: 0 [copy,5,flip.1] multiply(A,B)=multiply(B,A).
% 2.95/3.20  >>>> Starting back demodulation with 8.
% 2.95/3.20  >>>> Starting back demodulation with 11.
% 2.95/3.20  >>>> Starting back demodulation with 13.
% 2.95/3.20      >> back demodulating 10 with 13.
% 2.95/3.20      >> back demodulating 7 with 13.
% 2.95/3.20  >>>> Starting back demodulation with 15.
% 2.95/3.20  >>>> Starting back demodulation with 17.
% 2.95/3.20  >>>> Starting back demodulation with 19.
% 2.95/3.20  >>>> Starting back demodulation with 21.
% 2.95/3.20  >>>> Starting back demodulation with 23.
% 2.95/3.20  >>>> Starting back demodulation with 25.
% 2.95/3.20  >>>> Starting back demodulation with 27.
% 2.95/3.20  >>>> Starting back demodulation with 29.
% 2.95/3.20  >>>> Starting back demodulation with 31.
% 2.95/3.20  >>>> Starting back demodulation with 33.
% 2.95/3.20  >>>> Starting back demodulation with 35.
% 2.95/3.20  
% 2.95/3.20  ======= end of input processing =======
% 2.95/3.20  
% 2.95/3.20  =========== start of search ===========
% 2.95/3.20  
% 2.95/3.20  
% 2.95/3.20  Resetting weight limit to 10.
% 2.95/3.20  
% 2.95/3.20  
% 2.95/3.20  Resetting weight limit to 10.
% 2.95/3.20  
% 2.95/3.20  sos_size=290
% 2.95/3.20  
% 2.95/3.20  Search stopped because sos empty.
% 2.95/3.20  
% 2.95/3.20  
% 2.95/3.20  Search stopped because sos empty.
% 2.95/3.20  
% 2.95/3.20  ============ end of search ============
% 2.95/3.20  
% 2.95/3.20  -------------- statistics -------------
% 2.95/3.20  clauses given                495
% 2.95/3.20  clauses generated         182336
% 2.95/3.20  clauses kept                 734
% 2.95/3.20  clauses forward subsumed   63071
% 2.95/3.20  clauses back subsumed          4
% 2.95/3.20  Kbytes malloced             6835
% 2.95/3.20  
% 2.95/3.20  ----------- times (seconds) -----------
% 2.95/3.20  user CPU time          1.31          (0 hr, 0 min, 1 sec)
% 2.95/3.20  system CPU time        0.00          (0 hr, 0 min, 0 sec)
% 2.95/3.20  wall-clock time        2             (0 hr, 0 min, 2 sec)
% 2.95/3.20  
% 2.95/3.20  Process 14818 finished Wed Jul 27 02:24:27 2022
% 2.95/3.20  Otter interrupted
% 2.95/3.20  PROOF NOT FOUND
%------------------------------------------------------------------------------