TSTP Solution File: GRP772-1 by Otter---3.3

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Otter---3.3
% Problem  : GRP772-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : otter-tptp-script %s

% Computer : n022.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 1.87s 2.09s
% Output   : None 
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : GRP772-1 : TPTP v8.1.0. Released v4.1.0.
% 0.07/0.13  % Command  : otter-tptp-script %s
% 0.12/0.33  % Computer : n022.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 05:26:05 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 1.80/2.01  ----- Otter 3.3f, August 2004 -----
% 1.80/2.01  The process was started by sandbox on n022.cluster.edu,
% 1.80/2.01  Wed Jul 27 05:26:05 2022
% 1.80/2.01  The command was "./otter".  The process ID is 27984.
% 1.80/2.01  
% 1.80/2.01  set(prolog_style_variables).
% 1.80/2.01  set(auto).
% 1.80/2.01     dependent: set(auto1).
% 1.80/2.01     dependent: set(process_input).
% 1.80/2.01     dependent: clear(print_kept).
% 1.80/2.01     dependent: clear(print_new_demod).
% 1.80/2.01     dependent: clear(print_back_demod).
% 1.80/2.01     dependent: clear(print_back_sub).
% 1.80/2.01     dependent: set(control_memory).
% 1.80/2.01     dependent: assign(max_mem, 12000).
% 1.80/2.01     dependent: assign(pick_given_ratio, 4).
% 1.80/2.01     dependent: assign(stats_level, 1).
% 1.80/2.01     dependent: assign(max_seconds, 10800).
% 1.80/2.01  clear(print_given).
% 1.80/2.01  
% 1.80/2.01  list(usable).
% 1.80/2.01  0 [] A=A.
% 1.80/2.01  0 [] product(A,one)=A.
% 1.80/2.01  0 [] product(one,A)=A.
% 1.80/2.01  0 [] product(A,difference(A,B))=B.
% 1.80/2.01  0 [] difference(A,product(A,B))=B.
% 1.80/2.01  0 [] quotient(product(A,B),B)=A.
% 1.80/2.01  0 [] product(quotient(A,B),B)=A.
% 1.80/2.01  0 [] difference(A,product(product(A,B),C))=quotient(product(B,product(C,A)),A).
% 1.80/2.01  0 [] difference(product(A,B),product(A,product(B,C)))=quotient(quotient(product(C,product(A,B)),B),A).
% 1.80/2.01  0 [] i(A)=difference(A,one).
% 1.80/2.01  0 [] j(A)=quotient(one,A).
% 1.80/2.01  0 [] product(i(A),A)=product(A,j(A)).
% 1.80/2.01  0 [] eta(A)=product(i(A),A).
% 1.80/2.01  0 [] product(i(i(A)),B)=product(eta(A),product(A,B)).
% 1.80/2.01  0 [] product(A,product(eta(A),B))=product(j(j(A)),B).
% 1.80/2.01  0 [] product(A,product(B,eta(A)))=product(product(A,B),eta(A)).
% 1.80/2.01  0 [] product(eta(A),product(B,C))=product(product(eta(A),B),C).
% 1.80/2.01  0 [] quotient(j(A),A)=product(j(A),i(A)).
% 1.80/2.01  0 [] product(product(product(quotient(j(A),A),product(A,A)),B),C)=product(product(quotient(j(A),A),product(A,A)),product(B,C)).
% 1.80/2.01  0 [] t(A,B)=quotient(product(A,B),A).
% 1.80/2.01  0 [] t(eta(A),product(B,C))=product(t(eta(A),B),t(eta(A),C)).
% 1.80/2.01  0 [] product(i(product(A,B)),i(i(A)))=i(B).
% 1.80/2.01  0 [] product(j(j(A)),j(product(B,A)))=j(B).
% 1.80/2.01  0 [] product(product(A,product(B,C)),a(A,B,C))=product(product(A,B),C).
% 1.80/2.01  0 [] product(product(A,B),c(B,A))=product(B,A).
% 1.80/2.01  0 [] product(c(A,B),product(C,D))=product(product(c(A,B),C),D).
% 1.80/2.01  0 [] product(product(A,B),c(C,D))=product(A,product(B,c(C,D))).
% 1.80/2.01  0 [] product(a(A,B,C),product(D,E))=product(product(a(A,B,C),D),E).
% 1.80/2.01  0 [] product(product(A,B),a(C,D,E))=product(A,product(B,a(C,D,E))).
% 1.80/2.01  0 [] product(a(A,B,C),difference(C,product(a(C,A,B),C)))=one.
% 1.80/2.01  0 [] a(A,i(B),C)=a(A,j(B),C).
% 1.80/2.01  0 [] a(i(A),B,C)=a(j(A),B,C).
% 1.80/2.01  0 [] a(j(A),B,C)=a(B,C,A).
% 1.80/2.01  0 [] a(x0,x1,x1)!=a(x1,x1,x0).
% 1.80/2.01  end_of_list.
% 1.80/2.01  
% 1.80/2.01  SCAN INPUT: prop=0, horn=1, equality=1, symmetry=0, max_lits=1.
% 1.80/2.01  
% 1.80/2.01  All clauses are units, and equality is present; the
% 1.80/2.01  strategy will be Knuth-Bendix with positive clauses in sos.
% 1.80/2.01  
% 1.80/2.01     dependent: set(knuth_bendix).
% 1.80/2.01     dependent: set(anl_eq).
% 1.80/2.01     dependent: set(para_from).
% 1.80/2.01     dependent: set(para_into).
% 1.80/2.01     dependent: clear(para_from_right).
% 1.80/2.01     dependent: clear(para_into_right).
% 1.80/2.01     dependent: set(para_from_vars).
% 1.80/2.01     dependent: set(eq_units_both_ways).
% 1.80/2.01     dependent: set(dynamic_demod_all).
% 1.80/2.01     dependent: set(dynamic_demod).
% 1.80/2.01     dependent: set(order_eq).
% 1.80/2.01     dependent: set(back_demod).
% 1.80/2.01     dependent: set(lrpo).
% 1.80/2.01  
% 1.80/2.01  ------------> process usable:
% 1.80/2.01  ** KEPT (pick-wt=9): 2 [copy,1,flip.1] a(x1,x1,x0)!=a(x0,x1,x1).
% 1.80/2.01  
% 1.80/2.01  ------------> process sos:
% 1.80/2.01  ** KEPT (pick-wt=3): 3 [] A=A.
% 1.80/2.01  ** KEPT (pick-wt=5): 4 [] product(A,one)=A.
% 1.80/2.01  ---> New Demodulator: 5 [new_demod,4] product(A,one)=A.
% 1.80/2.01  ** KEPT (pick-wt=5): 6 [] product(one,A)=A.
% 1.80/2.01  ---> New Demodulator: 7 [new_demod,6] product(one,A)=A.
% 1.80/2.01  ** KEPT (pick-wt=7): 8 [] product(A,difference(A,B))=B.
% 1.80/2.01  ---> New Demodulator: 9 [new_demod,8] product(A,difference(A,B))=B.
% 1.80/2.01  ** KEPT (pick-wt=7): 10 [] difference(A,product(A,B))=B.
% 1.80/2.01  ---> New Demodulator: 11 [new_demod,10] difference(A,product(A,B))=B.
% 1.80/2.01  ** KEPT (pick-wt=7): 12 [] quotient(product(A,B),B)=A.
% 1.80/2.01  ---> New Demodulator: 13 [new_demod,12] quotient(product(A,B),B)=A.
% 1.80/2.01  ** KEPT (pick-wt=7): 14 [] product(quotient(A,B),B)=A.
% 1.80/2.01  ---> New Demodulator: 15 [new_demod,14] product(quotient(A,B),B)=A.
% 1.80/2.01  ** KEPT (pick-wt=15): 17 [copy,16,flip.1] quotient(product(A,product(B,C)),C)=difference(C,product(product(C,A),B)).
% 1.80/2.01  ---> New Demodulator: 18 [new_demod,17] quotient(product(A,product(B,C)),C)=difference(C,product(product(C,A),B)).
% 1.80/2.01  ** KEPT (pick-wt=19): 20 [copy,19,demod,18,flip.1] quotient(difference(A,product(product(A,B),C)),C)=difference(product(C,A),product(C,product(A,B))).
% 1.80/2.01  ---> New Demodulator: 21 [new_demod,20] quotient(difference(A,product(product(A,B),C)),C)=difference(product(C,A),product(C,product(A,B))).
% 1.80/2.01  ** KEPT (pick-wt=6): 22 [] i(A)=difference(A,one).
% 1.80/2.01  ---> New Demodulator: 23 [new_demod,22] i(A)=difference(A,one).
% 1.80/2.01  ** KEPT (pick-wt=6): 24 [] j(A)=quotient(one,A).
% 1.80/2.01  ---> New Demodulator: 25 [new_demod,24] j(A)=quotient(one,A).
% 1.80/2.01  ** KEPT (pick-wt=11): 27 [copy,26,demod,23,25,flip.1] product(A,quotient(one,A))=product(difference(A,one),A).
% 1.80/2.01  ---> New Demodulator: 28 [new_demod,27] product(A,quotient(one,A))=product(difference(A,one),A).
% 1.80/2.01  ** KEPT (pick-wt=8): 30 [copy,29,demod,23] eta(A)=product(difference(A,one),A).
% 1.80/2.01  ---> New Demodulator: 31 [new_demod,30] eta(A)=product(difference(A,one),A).
% 1.80/2.01  ** KEPT (pick-wt=17): 33 [copy,32,demod,23,23,31,flip.1] product(product(difference(A,one),A),product(A,B))=product(difference(difference(A,one),one),B).
% 1.80/2.01  ---> New Demodulator: 34 [new_demod,33] product(product(difference(A,one),A),product(A,B))=product(difference(difference(A,one),one),B).
% 1.80/2.01  ** KEPT (pick-wt=17): 36 [copy,35,demod,31,25,25,flip.1] product(quotient(one,quotient(one,A)),B)=product(A,product(product(difference(A,one),A),B)).
% 1.80/2.01  ---> New Demodulator: 37 [new_demod,36] product(quotient(one,quotient(one,A)),B)=product(A,product(product(difference(A,one),A),B)).
% 1.80/2.01  ** KEPT (pick-wt=19): 39 [copy,38,demod,31,31,flip.1] product(product(A,B),product(difference(A,one),A))=product(A,product(B,product(difference(A,one),A))).
% 1.80/2.01  ---> New Demodulator: 40 [new_demod,39] product(product(A,B),product(difference(A,one),A))=product(A,product(B,product(difference(A,one),A))).
% 1.80/2.01  ** KEPT (pick-wt=19): 42 [copy,41,demod,31,31,flip.1] product(product(product(difference(A,one),A),B),C)=product(product(difference(A,one),A),product(B,C)).
% 1.80/2.01  ---> New Demodulator: 43 [new_demod,42] product(product(product(difference(A,one),A),B),C)=product(product(difference(A,one),A),product(B,C)).
% 1.80/2.01  ** KEPT (pick-wt=13): 45 [copy,44,demod,25,25,23] quotient(quotient(one,A),A)=product(quotient(one,A),difference(A,one)).
% 1.80/2.01  ---> New Demodulator: 46 [new_demod,45] quotient(quotient(one,A),A)=product(quotient(one,A),difference(A,one)).
% 1.80/2.01  ** KEPT (pick-wt=31): 48 [copy,47,demod,25,46,25,46] product(product(product(product(quotient(one,A),difference(A,one)),product(A,A)),B),C)=product(product(product(quotient(one,A),difference(A,one)),product(A,A)),product(B,C)).
% 1.80/2.01  ---> New Demodulator: 49 [new_demod,48] product(product(product(product(quotient(one,A),difference(A,one)),product(A,A)),B),C)=product(product(product(quotient(one,A),difference(A,one)),product(A,A)),product(B,C)).
% 1.80/2.01  ** KEPT (pick-wt=9): 50 [] t(A,B)=quotient(product(A,B),A).
% 1.80/2.01  ---> New Demodulator: 51 [new_demod,50] t(A,B)=quotient(product(A,B),A).
% 1.80/2.01  ** KEPT (pick-wt=43): 53 [copy,52,demod,31,51,31,51,31,51] quotient(product(product(difference(A,one),A),product(B,C)),product(difference(A,one),A))=product(quotient(product(product(difference(A,one),A),B),product(difference(A,one),A)),quotient(product(product(difference(A,one),A),C),product(difference(A,one),A))).
% 1.80/2.01  ---> New Demodulator: 54 [new_demod,53] quotient(product(product(difference(A,one),A),product(B,C)),product(difference(A,one),A))=product(quotient(product(product(difference(A,one),A),B),product(difference(A,one),A)),quotient(product(product(difference(A,one),A),C),product(difference(A,one),A))).
% 1.80/2.01  ** KEPT (pick-wt=15): 56 [copy,55,demod,23,23,23,23] product(difference(product(A,B),one),difference(difference(A,one),one))=difference(B,one).
% 1.80/2.01  ---> New Demodulator: 57 [new_demod,56] product(difference(product(A,B),one),difference(difference(A,one),one))=difference(B,one).
% 1.80/2.01  ** KEPT (pick-wt=17): 59 [copy,58,demod,25,25,25,37,25] product(A,product(product(difference(A,one),A),quotient(one,product(B,A))))=quotient(one,B).
% 1.80/2.01  ---> New Demodulator: 60 [new_demod,59] product(A,product(product(difference(A,one),A),quotient(one,product(B,A))))=quotient(one,B).
% 1.80/2.01  ** KEPT (pick-wt=16): 61 [] product(product(A,product(B,C)),a(A,B,C))=product(product(A,B),C).
% 1.80/2.01  ---> New Demodulator: 62 [new_demod,61] product(product(A,product(B,C)),a(A,B,C))=product(product(A,B),C).
% 1.87/2.08  ** KEPT (pick-wt=11): 63 [] product(product(A,B),c(B,A))=product(B,A).
% 1.87/2.08  ---> New Demodulator: 64 [new_demod,63] product(product(A,B),c(B,A))=product(B,A).
% 1.87/2.08  ** KEPT (pick-wt=15): 66 [copy,65,flip.1] product(product(c(A,B),C),D)=product(c(A,B),product(C,D)).
% 1.87/2.08  ---> New Demodulator: 67 [new_demod,66] product(product(c(A,B),C),D)=product(c(A,B),product(C,D)).
% 1.87/2.08  ** KEPT (pick-wt=15): 68 [] product(product(A,B),c(C,D))=product(A,product(B,c(C,D))).
% 1.87/2.08  ---> New Demodulator: 69 [new_demod,68] product(product(A,B),c(C,D))=product(A,product(B,c(C,D))).
% 1.87/2.08  ** KEPT (pick-wt=17): 71 [copy,70,flip.1] product(product(a(A,B,C),D),E)=product(a(A,B,C),product(D,E)).
% 1.87/2.08  ---> New Demodulator: 72 [new_demod,71] product(product(a(A,B,C),D),E)=product(a(A,B,C),product(D,E)).
% 1.87/2.08  ** KEPT (pick-wt=17): 73 [] product(product(A,B),a(C,D,E))=product(A,product(B,a(C,D,E))).
% 1.87/2.08  ---> New Demodulator: 74 [new_demod,73] product(product(A,B),a(C,D,E))=product(A,product(B,a(C,D,E))).
% 1.87/2.08  ** KEPT (pick-wt=15): 75 [] product(a(A,B,C),difference(C,product(a(C,A,B),C)))=one.
% 1.87/2.08  ---> New Demodulator: 76 [new_demod,75] product(a(A,B,C),difference(C,product(a(C,A,B),C)))=one.
% 1.87/2.08  ** KEPT (pick-wt=13): 78 [copy,77,demod,23,25,flip.1] a(A,quotient(one,B),C)=a(A,difference(B,one),C).
% 1.87/2.08  ---> New Demodulator: 79 [new_demod,78] a(A,quotient(one,B),C)=a(A,difference(B,one),C).
% 1.87/2.08  ** KEPT (pick-wt=13): 81 [copy,80,demod,23,25,flip.1] a(quotient(one,A),B,C)=a(difference(A,one),B,C).
% 1.87/2.08  ---> New Demodulator: 82 [new_demod,81] a(quotient(one,A),B,C)=a(difference(A,one),B,C).
% 1.87/2.08  ** KEPT (pick-wt=11): 84 [copy,83,demod,25,82] a(difference(A,one),B,C)=a(B,C,A).
% 1.87/2.08    Following clause subsumed by 3 during input processing: 0 [copy,3,flip.1] A=A.
% 1.87/2.08  >>>> Starting back demodulation with 5.
% 1.87/2.08  >>>> Starting back demodulation with 7.
% 1.87/2.08  >>>> Starting back demodulation with 9.
% 1.87/2.08  >>>> Starting back demodulation with 11.
% 1.87/2.08  >>>> Starting back demodulation with 13.
% 1.87/2.08  >>>> Starting back demodulation with 15.
% 1.87/2.08  >>>> Starting back demodulation with 18.
% 1.87/2.08  >>>> Starting back demodulation with 21.
% 1.87/2.08  >>>> Starting back demodulation with 23.
% 1.87/2.08  >>>> Starting back demodulation with 25.
% 1.87/2.08  >>>> Starting back demodulation with 28.
% 1.87/2.08  >>>> Starting back demodulation with 31.
% 1.87/2.08  >>>> Starting back demodulation with 34.
% 1.87/2.08  >>>> Starting back demodulation with 37.
% 1.87/2.08  >>>> Starting back demodulation with 40.
% 1.87/2.08  >>>> Starting back demodulation with 43.
% 1.87/2.08  >>>> Starting back demodulation with 46.
% 1.87/2.08  >>>> Starting back demodulation with 49.
% 1.87/2.08  >>>> Starting back demodulation with 51.
% 1.87/2.08  >>>> Starting back demodulation with 54.
% 1.87/2.08  >>>> Starting back demodulation with 57.
% 1.87/2.08  >>>> Starting back demodulation with 60.
% 1.87/2.08  >>>> Starting back demodulation with 62.
% 1.87/2.08  >>>> Starting back demodulation with 64.
% 1.87/2.08  >>>> Starting back demodulation with 67.
% 1.87/2.08  >>>> Starting back demodulation with 69.
% 1.87/2.08      >> back demodulating 63 with 69.
% 1.87/2.08  >>>> Starting back demodulation with 72.
% 1.87/2.08  >>>> Starting back demodulation with 74.
% 1.87/2.08      >> back demodulating 61 with 74.
% 1.87/2.08  >>>> Starting back demodulation with 76.
% 1.87/2.08  >>>> Starting back demodulation with 79.
% 1.87/2.08  >>>> Starting back demodulation with 82.
% 1.87/2.08  ** KEPT (pick-wt=11): 88 [copy,84,flip.1] a(A,B,C)=a(difference(C,one),A,B).
% 1.87/2.08  >>>> Starting back demodulation with 86.
% 1.87/2.08  ** KEPT (pick-wt=16): 89 [copy,87,flip.1] product(product(A,B),C)=product(A,product(B,product(C,a(A,B,C)))).
% 1.87/2.08    Following clause subsumed by 84 during input processing: 0 [copy,88,flip.1] a(difference(A,one),B,C)=a(B,C,A).
% 1.87/2.08    Following clause subsumed by 87 during input processing: 0 [copy,89,flip.1] product(A,product(B,product(C,a(A,B,C))))=product(product(A,B),C).
% 1.87/2.08  
% 1.87/2.08  ======= end of input processing =======
% 1.87/2.08  
% 1.87/2.08  =========== start of search ===========
% 1.87/2.08  
% 1.87/2.08  
% 1.87/2.08  Resetting weight limit to 13.
% 1.87/2.08  
% 1.87/2.08  
% 1.87/2.08  Resetting weight limit to 13.
% 1.87/2.08  
% 1.87/2.08  sos_size=101
% 1.87/2.08  
% 1.87/2.08  
% 1.87/2.08  Resetting weight limit to 11.
% 1.87/2.08  
% 1.87/2.08  
% 1.87/2.08  Resetting weight limit to 11.
% 1.87/2.08  
% 1.87/2.08  sos_size=40
% 1.87/2.08  
% 1.87/2.08  Search stopped because sos empty.
% 1.87/2.08  
% 1.87/2.08  
% 1.87/2.08  Search stopped because sos empty.
% 1.87/2.08  
% 1.87/2.08  ============ end of search ============
% 1.87/2.08  
% 1.87/2.08  -------------- statistics -------------
% 1.87/2.08  clauses given                174
% 1.87/2.08  clauses generated           6186
% 1.87/2.08  clauses kept                 319
% 1.87/2.08  clauses forward subsumed    3175
% 1.87/2.08  clauses back subsumed          3
% 1.87/2.08  Kbytes malloced             5859
% 1.87/2.08  
% 1.87/2.08  ----------- times (seconds) -----------
% 1.87/2.08  user CPU time          0.08          (0 hr, 0 min, 0 sec)
% 1.87/2.08  system CPU time        0.00          (0 hr, 0 min, 0 sec)
% 1.87/2.08  wall-clock time        2             (0 hr, 0 min, 2 sec)
% 1.87/2.08  
% 1.87/2.08  Process 27984 finished Wed Jul 27 05:26:07 2022
% 1.87/2.09  Otter interrupted
% 1.87/2.09  PROOF NOT FOUND
%------------------------------------------------------------------------------