TSTP Solution File: KLE161-10 by Otter---3.3

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Otter---3.3
% Problem  : KLE161-10 : TPTP v8.1.0. Released v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : otter-tptp-script %s

% Computer : n020.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 13:00:53 EDT 2022

% Result   : Unknown 2.02s 2.25s
% Output   : None 
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : KLE161-10 : TPTP v8.1.0. Released v7.5.0.
% 0.03/0.12  % Command  : otter-tptp-script %s
% 0.12/0.33  % Computer : n020.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 06:31:08 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 1.82/2.06  ----- Otter 3.3f, August 2004 -----
% 1.82/2.06  The process was started by sandbox on n020.cluster.edu,
% 1.82/2.06  Wed Jul 27 06:31:08 2022
% 1.82/2.06  The command was "./otter".  The process ID is 19217.
% 1.82/2.06  
% 1.82/2.06  set(prolog_style_variables).
% 1.82/2.06  set(auto).
% 1.82/2.06     dependent: set(auto1).
% 1.82/2.06     dependent: set(process_input).
% 1.82/2.06     dependent: clear(print_kept).
% 1.82/2.06     dependent: clear(print_new_demod).
% 1.82/2.06     dependent: clear(print_back_demod).
% 1.82/2.06     dependent: clear(print_back_sub).
% 1.82/2.06     dependent: set(control_memory).
% 1.82/2.06     dependent: assign(max_mem, 12000).
% 1.82/2.06     dependent: assign(pick_given_ratio, 4).
% 1.82/2.06     dependent: assign(stats_level, 1).
% 1.82/2.06     dependent: assign(max_seconds, 10800).
% 1.82/2.06  clear(print_given).
% 1.82/2.06  
% 1.82/2.06  list(usable).
% 1.82/2.06  0 [] A=A.
% 1.82/2.06  0 [] ife_q3(A,A,B,C)=B.
% 1.82/2.06  0 [] ife_q2(A,A,B,C)=B.
% 1.82/2.06  0 [] ife_q(A,A,B,C)=B.
% 1.82/2.06  0 [] addition(A,B)=addition(B,A).
% 1.82/2.06  0 [] addition(A,addition(B,C))=addition(addition(A,B),C).
% 1.82/2.06  0 [] addition(A,zero)=A.
% 1.82/2.06  0 [] addition(A,A)=A.
% 1.82/2.06  0 [] multiplication(A,multiplication(B,C))=multiplication(multiplication(A,B),C).
% 1.82/2.06  0 [] multiplication(A,one)=A.
% 1.82/2.06  0 [] multiplication(one,A)=A.
% 1.82/2.06  0 [] multiplication(A,addition(B,C))=addition(multiplication(A,B),multiplication(A,C)).
% 1.82/2.06  0 [] multiplication(addition(A,B),C)=addition(multiplication(A,C),multiplication(B,C)).
% 1.82/2.06  0 [] multiplication(zero,A)=zero.
% 1.82/2.06  0 [] addition(one,multiplication(A,star(A)))=star(A).
% 1.82/2.06  0 [] addition(one,multiplication(star(A),A))=star(A).
% 1.82/2.06  0 [] ife_q(le_q(addition(multiplication(A,C),B),C),true,le_q(multiplication(star(A),B),C),true)=true.
% 1.82/2.06  0 [] ife_q(le_q(addition(multiplication(C,A),B),C),true,le_q(multiplication(B,star(A)),C),true)=true.
% 1.82/2.06  0 [] strong_iteration(A)=addition(multiplication(A,strong_iteration(A)),one).
% 1.82/2.06  0 [] ife_q(le_q(C,addition(multiplication(A,C),B)),true,le_q(C,multiplication(strong_iteration(A),B)),true)=true.
% 1.82/2.06  0 [] strong_iteration(A)=addition(star(A),multiplication(strong_iteration(A),zero)).
% 1.82/2.06  0 [] ife_q2(le_q(A,B),true,addition(A,B),B)=B.
% 1.82/2.06  0 [] ife_q3(addition(A,B),B,le_q(A,B),true)=true.
% 1.82/2.06  0 [] strong_iteration(sK2_goals_X7)=star(sK2_goals_X7).
% 1.82/2.06  0 [] le_q(multiplication(sK1_goals_X0,sK5_goals_X4),sK6_goals_X3)=true.
% 1.82/2.06  0 [] le_q(multiplication(sK1_goals_X0,sK3_goals_X6),multiplication(sK4_goals_X5,sK1_goals_X0))=true.
% 1.82/2.06  0 [] le_q(multiplication(sK1_goals_X0,sK2_goals_X7),sK1_goals_X0)=true.
% 1.82/2.06  0 [] le_q(sK7_goals_X2,multiplication(sK8_goals_X1,sK1_goals_X0))=true.
% 1.82/2.06  0 [] le_q(multiplication(sK7_goals_X2,multiplication(strong_iteration(addition(sK3_goals_X6,sK2_goals_X7)),sK5_goals_X4)),multiplication(sK8_goals_X1,multiplication(strong_iteration(sK4_goals_X5),sK6_goals_X3)))!=true.
% 1.82/2.06  end_of_list.
% 1.82/2.06  
% 1.82/2.06  SCAN INPUT: prop=0, horn=1, equality=1, symmetry=0, max_lits=1.
% 1.82/2.06  
% 1.82/2.06  All clauses are units, and equality is present; the
% 1.82/2.06  strategy will be Knuth-Bendix with positive clauses in sos.
% 1.82/2.06  
% 1.82/2.06     dependent: set(knuth_bendix).
% 1.82/2.06     dependent: set(anl_eq).
% 1.82/2.06     dependent: set(para_from).
% 1.82/2.06     dependent: set(para_into).
% 1.82/2.06     dependent: clear(para_from_right).
% 1.82/2.06     dependent: clear(para_into_right).
% 1.82/2.06     dependent: set(para_from_vars).
% 1.82/2.06     dependent: set(eq_units_both_ways).
% 1.82/2.06     dependent: set(dynamic_demod_all).
% 1.82/2.06     dependent: set(dynamic_demod).
% 1.82/2.06     dependent: set(order_eq).
% 1.82/2.06     dependent: set(back_demod).
% 1.82/2.06     dependent: set(lrpo).
% 1.82/2.06  
% 1.82/2.06  ------------> process usable:
% 1.82/2.06  ** KEPT (pick-wt=17): 1 [] le_q(multiplication(sK7_goals_X2,multiplication(strong_iteration(addition(sK3_goals_X6,sK2_goals_X7)),sK5_goals_X4)),multiplication(sK8_goals_X1,multiplication(strong_iteration(sK4_goals_X5),sK6_goals_X3)))!=true.
% 1.82/2.06  
% 1.82/2.06  ------------> process sos:
% 1.82/2.06  ** KEPT (pick-wt=3): 2 [] A=A.
% 1.82/2.06  ** KEPT (pick-wt=7): 3 [] ife_q3(A,A,B,C)=B.
% 1.82/2.06  ---> New Demodulator: 4 [new_demod,3] ife_q3(A,A,B,C)=B.
% 1.82/2.06  ** KEPT (pick-wt=7): 5 [] ife_q2(A,A,B,C)=B.
% 1.82/2.06  ---> New Demodulator: 6 [new_demod,5] ife_q2(A,A,B,C)=B.
% 1.82/2.06  ** KEPT (pick-wt=7): 7 [] ife_q(A,A,B,C)=B.
% 1.82/2.06  ---> New Demodulator: 8 [new_demod,7] ife_q(A,A,B,C)=B.
% 1.82/2.06  ** KEPT (pick-wt=7): 9 [] addition(A,B)=addition(B,A).
% 1.82/2.06  ** KEPT (pick-wt=11): 11 [copy,10,flip.1] addition(addition(A,B),C)=addition(A,addition(B,C)).
% 1.82/2.06  ---> New Demodulator: 12 [new_demod,11] addition(addition(A,B),C)=addition(A,addition(B,C)).
% 1.82/2.06  ** KEPT (pick-wt=5): 13 [] addition(A,zero)=A.
% 1.82/2.06  ---> New Demodulator: 14 [new_demod,13] addition(A,zero)=A.
% 1.82/2.06  ** KEPT (pick-wt=5): 15 [] addition(A,A)=A.
% 1.82/2.06  ---> New Demodulator: 16 [new_demod,15] addition(A,A)=A.
% 1.82/2.06  ** KEPT (pick-wt=11): 18 [copy,17,flip.1] multiplication(multiplication(A,B),C)=multiplication(A,multiplication(B,C)).
% 1.82/2.06  ---> New Demodulator: 19 [new_demod,18] multiplication(multiplication(A,B),C)=multiplication(A,multiplication(B,C)).
% 1.82/2.06  ** KEPT (pick-wt=5): 20 [] multiplication(A,one)=A.
% 1.82/2.06  ---> New Demodulator: 21 [new_demod,20] multiplication(A,one)=A.
% 1.82/2.06  ** KEPT (pick-wt=5): 22 [] multiplication(one,A)=A.
% 1.82/2.06  ---> New Demodulator: 23 [new_demod,22] multiplication(one,A)=A.
% 1.82/2.06  ** KEPT (pick-wt=13): 24 [] multiplication(A,addition(B,C))=addition(multiplication(A,B),multiplication(A,C)).
% 1.82/2.06  ---> New Demodulator: 25 [new_demod,24] multiplication(A,addition(B,C))=addition(multiplication(A,B),multiplication(A,C)).
% 1.82/2.06  ** KEPT (pick-wt=13): 26 [] multiplication(addition(A,B),C)=addition(multiplication(A,C),multiplication(B,C)).
% 1.82/2.06  ---> New Demodulator: 27 [new_demod,26] multiplication(addition(A,B),C)=addition(multiplication(A,C),multiplication(B,C)).
% 1.82/2.06  ** KEPT (pick-wt=5): 28 [] multiplication(zero,A)=zero.
% 1.82/2.06  ---> New Demodulator: 29 [new_demod,28] multiplication(zero,A)=zero.
% 1.82/2.06  ** KEPT (pick-wt=9): 30 [] addition(one,multiplication(A,star(A)))=star(A).
% 1.82/2.06  ---> New Demodulator: 31 [new_demod,30] addition(one,multiplication(A,star(A)))=star(A).
% 1.82/2.06  ** KEPT (pick-wt=9): 32 [] addition(one,multiplication(star(A),A))=star(A).
% 1.82/2.06  ---> New Demodulator: 33 [new_demod,32] addition(one,multiplication(star(A),A))=star(A).
% 1.82/2.06  ** KEPT (pick-wt=18): 34 [] ife_q(le_q(addition(multiplication(A,B),C),B),true,le_q(multiplication(star(A),C),B),true)=true.
% 1.82/2.06  ---> New Demodulator: 35 [new_demod,34] ife_q(le_q(addition(multiplication(A,B),C),B),true,le_q(multiplication(star(A),C),B),true)=true.
% 1.82/2.06  ** KEPT (pick-wt=18): 36 [] ife_q(le_q(addition(multiplication(A,B),C),A),true,le_q(multiplication(C,star(B)),A),true)=true.
% 1.82/2.06  ---> New Demodulator: 37 [new_demod,36] ife_q(le_q(addition(multiplication(A,B),C),A),true,le_q(multiplication(C,star(B)),A),true)=true.
% 1.82/2.06  ** KEPT (pick-wt=9): 39 [copy,38,flip.1] addition(multiplication(A,strong_iteration(A)),one)=strong_iteration(A).
% 1.82/2.06  ---> New Demodulator: 40 [new_demod,39] addition(multiplication(A,strong_iteration(A)),one)=strong_iteration(A).
% 1.82/2.06  ** KEPT (pick-wt=18): 41 [] ife_q(le_q(A,addition(multiplication(B,A),C)),true,le_q(A,multiplication(strong_iteration(B),C)),true)=true.
% 1.82/2.06  ---> New Demodulator: 42 [new_demod,41] ife_q(le_q(A,addition(multiplication(B,A),C)),true,le_q(A,multiplication(strong_iteration(B),C)),true)=true.
% 1.82/2.06  ** KEPT (pick-wt=10): 44 [copy,43,flip.1] addition(star(A),multiplication(strong_iteration(A),zero))=strong_iteration(A).
% 1.82/2.06  ---> New Demodulator: 45 [new_demod,44] addition(star(A),multiplication(strong_iteration(A),zero))=strong_iteration(A).
% 1.82/2.06  ** KEPT (pick-wt=11): 46 [] ife_q2(le_q(A,B),true,addition(A,B),B)=B.
% 1.82/2.06  ---> New Demodulator: 47 [new_demod,46] ife_q2(le_q(A,B),true,addition(A,B),B)=B.
% 1.82/2.06  ** KEPT (pick-wt=11): 48 [] ife_q3(addition(A,B),B,le_q(A,B),true)=true.
% 1.82/2.06  ---> New Demodulator: 49 [new_demod,48] ife_q3(addition(A,B),B,le_q(A,B),true)=true.
% 1.82/2.06  ** KEPT (pick-wt=5): 50 [] strong_iteration(sK2_goals_X7)=star(sK2_goals_X7).
% 1.82/2.06  ---> New Demodulator: 51 [new_demod,50] strong_iteration(sK2_goals_X7)=star(sK2_goals_X7).
% 1.82/2.06  ** KEPT (pick-wt=7): 52 [] le_q(multiplication(sK1_goals_X0,sK5_goals_X4),sK6_goals_X3)=true.
% 1.82/2.06  ---> New Demodulator: 53 [new_demod,52] le_q(multiplication(sK1_goals_X0,sK5_goals_X4),sK6_goals_X3)=true.
% 1.82/2.06  ** KEPT (pick-wt=9): 54 [] le_q(multiplication(sK1_goals_X0,sK3_goals_X6),multiplication(sK4_goals_X5,sK1_goals_X0))=true.
% 1.82/2.06  ---> New Demodulator: 55 [new_demod,54] le_q(multiplication(sK1_goals_X0,sK3_goals_X6),multiplication(sK4_goals_X5,sK1_goals_X0))=true.
% 1.82/2.06  ** KEPT (pick-wt=7): 56 [] le_q(multiplication(sK1_goals_X0,sK2_goals_X7),sK1_goals_X0)=true.
% 1.82/2.06  ---> New Demodulator: 57 [new_demod,56] le_q(multiplication(sK1_goals_X0,sK2_goals_X7),sK1_goals_X0)=true.
% 1.82/2.06  ** KEPT (pick-wt=7): 58 [] le_q(sK7_goals_X2,multiplication(sK8_goals_X1,sK1_goals_X0))=true.
% 1.82/2.06  ---> New Demodulator: 59 [new_demod,58] le_q(sK7_goals_X2,multiplication(sK8_goals_X1,sK1_goals_X0))=true.
% 2.02/2.25    Following clause subsumed by 2 during input processing: 0 [copy,2,flip.1] A=A.
% 2.02/2.25  >>>> Starting back demodulation with 4.
% 2.02/2.25  >>>> Starting back demodulation with 6.
% 2.02/2.25  >>>> Starting back demodulation with 8.
% 2.02/2.25    Following clause subsumed by 9 during input processing: 0 [copy,9,flip.1] addition(A,B)=addition(B,A).
% 2.02/2.25  >>>> Starting back demodulation with 12.
% 2.02/2.25  >>>> Starting back demodulation with 14.
% 2.02/2.25  >>>> Starting back demodulation with 16.
% 2.02/2.25  >>>> Starting back demodulation with 19.
% 2.02/2.25  >>>> Starting back demodulation with 21.
% 2.02/2.25  >>>> Starting back demodulation with 23.
% 2.02/2.25  >>>> Starting back demodulation with 25.
% 2.02/2.25  >>>> Starting back demodulation with 27.
% 2.02/2.25  >>>> Starting back demodulation with 29.
% 2.02/2.25  >>>> Starting back demodulation with 31.
% 2.02/2.25  >>>> Starting back demodulation with 33.
% 2.02/2.25  >>>> Starting back demodulation with 35.
% 2.02/2.25  >>>> Starting back demodulation with 37.
% 2.02/2.25  >>>> Starting back demodulation with 40.
% 2.02/2.25  >>>> Starting back demodulation with 42.
% 2.02/2.25  >>>> Starting back demodulation with 45.
% 2.02/2.25  >>>> Starting back demodulation with 47.
% 2.02/2.25  >>>> Starting back demodulation with 49.
% 2.02/2.25  >>>> Starting back demodulation with 51.
% 2.02/2.25  >>>> Starting back demodulation with 53.
% 2.02/2.25  >>>> Starting back demodulation with 55.
% 2.02/2.25  >>>> Starting back demodulation with 57.
% 2.02/2.25  >>>> Starting back demodulation with 59.
% 2.02/2.25  
% 2.02/2.25  ======= end of input processing =======
% 2.02/2.25  
% 2.02/2.25  =========== start of search ===========
% 2.02/2.25  
% 2.02/2.25  
% 2.02/2.25  Resetting weight limit to 9.
% 2.02/2.25  
% 2.02/2.25  
% 2.02/2.25  Resetting weight limit to 9.
% 2.02/2.25  
% 2.02/2.25  sos_size=206
% 2.02/2.25  
% 2.02/2.25  
% 2.02/2.25  Resetting weight limit to 8.
% 2.02/2.25  
% 2.02/2.25  
% 2.02/2.25  Resetting weight limit to 8.
% 2.02/2.25  
% 2.02/2.25  sos_size=166
% 2.02/2.25  
% 2.02/2.25  Search stopped because sos empty.
% 2.02/2.25  
% 2.02/2.25  
% 2.02/2.25  Search stopped because sos empty.
% 2.02/2.25  
% 2.02/2.25  ============ end of search ============
% 2.02/2.25  
% 2.02/2.25  -------------- statistics -------------
% 2.02/2.25  clauses given                371
% 2.02/2.25  clauses generated          22198
% 2.02/2.25  clauses kept                 439
% 2.02/2.25  clauses forward subsumed    8198
% 2.02/2.25  clauses back subsumed          0
% 2.02/2.25  Kbytes malloced             7812
% 2.02/2.25  
% 2.02/2.25  ----------- times (seconds) -----------
% 2.02/2.25  user CPU time          0.19          (0 hr, 0 min, 0 sec)
% 2.02/2.25  system CPU time        0.01          (0 hr, 0 min, 0 sec)
% 2.02/2.25  wall-clock time        2             (0 hr, 0 min, 2 sec)
% 2.02/2.25  
% 2.02/2.25  Process 19217 finished Wed Jul 27 06:31:10 2022
% 2.02/2.25  Otter interrupted
% 2.02/2.25  PROOF NOT FOUND
%------------------------------------------------------------------------------