TSTP Solution File: KLE122-10 by Otter---3.3

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Otter---3.3
% Problem  : KLE122-10 : TPTP v8.1.0. Released v7.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : otter-tptp-script %s

% Computer : n012.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 13:00:46 EDT 2022

% Result   : Unknown 1.80s 1.98s
% Output   : None 
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11  % Problem  : KLE122-10 : TPTP v8.1.0. Released v7.3.0.
% 0.07/0.12  % Command  : otter-tptp-script %s
% 0.13/0.33  % Computer : n012.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 300
% 0.13/0.33  % DateTime : Wed Jul 27 06:26:35 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 1.73/1.93  ----- Otter 3.3f, August 2004 -----
% 1.73/1.93  The process was started by sandbox on n012.cluster.edu,
% 1.73/1.93  Wed Jul 27 06:26:35 2022
% 1.73/1.93  The command was "./otter".  The process ID is 9853.
% 1.73/1.93  
% 1.73/1.93  set(prolog_style_variables).
% 1.73/1.93  set(auto).
% 1.73/1.93     dependent: set(auto1).
% 1.73/1.93     dependent: set(process_input).
% 1.73/1.93     dependent: clear(print_kept).
% 1.73/1.93     dependent: clear(print_new_demod).
% 1.73/1.93     dependent: clear(print_back_demod).
% 1.73/1.93     dependent: clear(print_back_sub).
% 1.73/1.93     dependent: set(control_memory).
% 1.73/1.93     dependent: assign(max_mem, 12000).
% 1.73/1.93     dependent: assign(pick_given_ratio, 4).
% 1.73/1.93     dependent: assign(stats_level, 1).
% 1.73/1.93     dependent: assign(max_seconds, 10800).
% 1.73/1.93  clear(print_given).
% 1.73/1.93  
% 1.73/1.93  list(usable).
% 1.73/1.93  0 [] A=A.
% 1.73/1.93  0 [] ife_q2(A,A,B,C)=B.
% 1.73/1.93  0 [] ife_q(A,A,B,C)=B.
% 1.73/1.93  0 [] addition(A,B)=addition(B,A).
% 1.73/1.93  0 [] addition(A,addition(B,C))=addition(addition(A,B),C).
% 1.73/1.93  0 [] addition(A,zero)=A.
% 1.73/1.93  0 [] addition(A,A)=A.
% 1.73/1.93  0 [] multiplication(A,multiplication(B,C))=multiplication(multiplication(A,B),C).
% 1.73/1.93  0 [] multiplication(A,one)=A.
% 1.73/1.93  0 [] multiplication(one,A)=A.
% 1.73/1.93  0 [] multiplication(A,addition(B,C))=addition(multiplication(A,B),multiplication(A,C)).
% 1.73/1.93  0 [] multiplication(addition(A,B),C)=addition(multiplication(A,C),multiplication(B,C)).
% 1.73/1.93  0 [] multiplication(A,zero)=zero.
% 1.73/1.93  0 [] multiplication(zero,A)=zero.
% 1.73/1.93  0 [] ife_q(le_q(A,B),true,addition(A,B),B)=B.
% 1.73/1.93  0 [] ife_q2(addition(A,B),B,le_q(A,B),true)=true.
% 1.73/1.93  0 [] multiplication(antidomain(X0),X0)=zero.
% 1.73/1.93  0 [] addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,antidomain(antidomain(X1)))))=antidomain(multiplication(X0,antidomain(antidomain(X1)))).
% 1.73/1.93  0 [] addition(antidomain(antidomain(X0)),antidomain(X0))=one.
% 1.73/1.93  0 [] domain(X0)=antidomain(antidomain(X0)).
% 1.73/1.93  0 [] multiplication(X0,coantidomain(X0))=zero.
% 1.73/1.93  0 [] addition(coantidomain(multiplication(X0,X1)),coantidomain(multiplication(coantidomain(coantidomain(X0)),X1)))=coantidomain(multiplication(coantidomain(coantidomain(X0)),X1)).
% 1.73/1.93  0 [] addition(coantidomain(coantidomain(X0)),coantidomain(X0))=one.
% 1.73/1.93  0 [] codomain(X0)=coantidomain(coantidomain(X0)).
% 1.73/1.93  0 [] c(X0)=antidomain(domain(X0)).
% 1.73/1.93  0 [] domain_difference(X0,X1)=multiplication(domain(X0),antidomain(X1)).
% 1.73/1.93  0 [] forward_diamond(X0,X1)=domain(multiplication(X0,domain(X1))).
% 1.73/1.93  0 [] backward_diamond(X0,X1)=codomain(multiplication(codomain(X1),X0)).
% 1.73/1.93  0 [] forward_box(X0,X1)=c(forward_diamond(X0,c(X1))).
% 1.73/1.93  0 [] backward_box(X0,X1)=c(backward_diamond(X0,c(X1))).
% 1.73/1.93  0 [] if_then_else(X0,X1,X2)=addition(multiplication(domain(X0),X1),multiplication(antidomain(X0),X2)).
% 1.73/1.93  0 [] addition(backward_diamond(sK5_goals_X1,multiplication(antidomain(sK4_goals_X2),domain(sK3_goals_X3))),domain(sK2_goals_X4))=domain(sK2_goals_X4).
% 1.73/1.93  0 [] addition(backward_diamond(sK1_goals_X0,multiplication(domain(sK4_goals_X2),domain(sK3_goals_X3))),domain(sK2_goals_X4))=domain(sK2_goals_X4).
% 1.73/1.93  0 [] addition(backward_diamond(if_then_else(sK4_goals_X2,sK1_goals_X0,sK5_goals_X1),domain(sK3_goals_X3)),domain(sK2_goals_X4))!=domain(sK2_goals_X4).
% 1.73/1.93  end_of_list.
% 1.73/1.93  
% 1.73/1.93  SCAN INPUT: prop=0, horn=1, equality=1, symmetry=0, max_lits=1.
% 1.73/1.93  
% 1.73/1.93  All clauses are units, and equality is present; the
% 1.73/1.93  strategy will be Knuth-Bendix with positive clauses in sos.
% 1.73/1.93  
% 1.73/1.93     dependent: set(knuth_bendix).
% 1.73/1.93     dependent: set(anl_eq).
% 1.73/1.93     dependent: set(para_from).
% 1.73/1.93     dependent: set(para_into).
% 1.73/1.93     dependent: clear(para_from_right).
% 1.73/1.93     dependent: clear(para_into_right).
% 1.73/1.93     dependent: set(para_from_vars).
% 1.73/1.93     dependent: set(eq_units_both_ways).
% 1.73/1.93     dependent: set(dynamic_demod_all).
% 1.73/1.93     dependent: set(dynamic_demod).
% 1.73/1.93     dependent: set(order_eq).
% 1.73/1.93     dependent: set(back_demod).
% 1.73/1.93     dependent: set(lrpo).
% 1.73/1.93  
% 1.73/1.93  ------------> process usable:
% 1.73/1.93  ** KEPT (pick-wt=13): 1 [] addition(backward_diamond(if_then_else(sK4_goals_X2,sK1_goals_X0,sK5_goals_X1),domain(sK3_goals_X3)),domain(sK2_goals_X4))!=domain(sK2_goals_X4).
% 1.73/1.93  
% 1.73/1.93  ------------> process sos:
% 1.73/1.93  ** KEPT (pick-wt=3): 2 [] A=A.
% 1.73/1.93  ** KEPT (pick-wt=7): 3 [] ife_q2(A,A,B,C)=B.
% 1.73/1.93  ---> New Demodulator: 4 [new_demod,3] ife_q2(A,A,B,C)=B.
% 1.73/1.93  ** KEPT (pick-wt=7): 5 [] ife_q(A,A,B,C)=B.
% 1.73/1.93  ---> New Demodulator: 6 [new_demod,5] ife_q(A,A,B,C)=B.
% 1.73/1.93  ** KEPT (pick-wt=7): 7 [] addition(A,B)=addition(B,A).
% 1.73/1.93  ** KEPT (pick-wt=11): 9 [copy,8,flip.1] addition(addition(A,B),C)=addition(A,addition(B,C)).
% 1.73/1.93  ---> New Demodulator: 10 [new_demod,9] addition(addition(A,B),C)=addition(A,addition(B,C)).
% 1.73/1.93  ** KEPT (pick-wt=5): 11 [] addition(A,zero)=A.
% 1.73/1.93  ---> New Demodulator: 12 [new_demod,11] addition(A,zero)=A.
% 1.73/1.93  ** KEPT (pick-wt=5): 13 [] addition(A,A)=A.
% 1.73/1.93  ---> New Demodulator: 14 [new_demod,13] addition(A,A)=A.
% 1.73/1.93  ** KEPT (pick-wt=11): 16 [copy,15,flip.1] multiplication(multiplication(A,B),C)=multiplication(A,multiplication(B,C)).
% 1.73/1.93  ---> New Demodulator: 17 [new_demod,16] multiplication(multiplication(A,B),C)=multiplication(A,multiplication(B,C)).
% 1.73/1.93  ** KEPT (pick-wt=5): 18 [] multiplication(A,one)=A.
% 1.73/1.93  ---> New Demodulator: 19 [new_demod,18] multiplication(A,one)=A.
% 1.73/1.93  ** KEPT (pick-wt=5): 20 [] multiplication(one,A)=A.
% 1.73/1.93  ---> New Demodulator: 21 [new_demod,20] multiplication(one,A)=A.
% 1.73/1.93  ** KEPT (pick-wt=13): 22 [] multiplication(A,addition(B,C))=addition(multiplication(A,B),multiplication(A,C)).
% 1.73/1.93  ---> New Demodulator: 23 [new_demod,22] multiplication(A,addition(B,C))=addition(multiplication(A,B),multiplication(A,C)).
% 1.73/1.93  ** KEPT (pick-wt=13): 24 [] multiplication(addition(A,B),C)=addition(multiplication(A,C),multiplication(B,C)).
% 1.73/1.93  ---> New Demodulator: 25 [new_demod,24] multiplication(addition(A,B),C)=addition(multiplication(A,C),multiplication(B,C)).
% 1.73/1.93  ** KEPT (pick-wt=5): 26 [] multiplication(A,zero)=zero.
% 1.73/1.93  ---> New Demodulator: 27 [new_demod,26] multiplication(A,zero)=zero.
% 1.73/1.93  ** KEPT (pick-wt=5): 28 [] multiplication(zero,A)=zero.
% 1.73/1.93  ---> New Demodulator: 29 [new_demod,28] multiplication(zero,A)=zero.
% 1.73/1.93  ** KEPT (pick-wt=11): 30 [] ife_q(le_q(A,B),true,addition(A,B),B)=B.
% 1.73/1.93  ---> New Demodulator: 31 [new_demod,30] ife_q(le_q(A,B),true,addition(A,B),B)=B.
% 1.73/1.93  ** KEPT (pick-wt=11): 32 [] ife_q2(addition(A,B),B,le_q(A,B),true)=true.
% 1.73/1.93  ---> New Demodulator: 33 [new_demod,32] ife_q2(addition(A,B),B,le_q(A,B),true)=true.
% 1.73/1.93  ** KEPT (pick-wt=6): 34 [] multiplication(antidomain(A),A)=zero.
% 1.73/1.93  ---> New Demodulator: 35 [new_demod,34] multiplication(antidomain(A),A)=zero.
% 1.73/1.93  ** KEPT (pick-wt=18): 36 [] addition(antidomain(multiplication(A,B)),antidomain(multiplication(A,antidomain(antidomain(B)))))=antidomain(multiplication(A,antidomain(antidomain(B)))).
% 1.73/1.93  ---> New Demodulator: 37 [new_demod,36] addition(antidomain(multiplication(A,B)),antidomain(multiplication(A,antidomain(antidomain(B)))))=antidomain(multiplication(A,antidomain(antidomain(B)))).
% 1.73/1.93  ** KEPT (pick-wt=8): 38 [] addition(antidomain(antidomain(A)),antidomain(A))=one.
% 1.73/1.93  ---> New Demodulator: 39 [new_demod,38] addition(antidomain(antidomain(A)),antidomain(A))=one.
% 1.73/1.93  ** KEPT (pick-wt=6): 40 [] domain(A)=antidomain(antidomain(A)).
% 1.73/1.93  ---> New Demodulator: 41 [new_demod,40] domain(A)=antidomain(antidomain(A)).
% 1.73/1.93  ** KEPT (pick-wt=6): 42 [] multiplication(A,coantidomain(A))=zero.
% 1.73/1.93  ---> New Demodulator: 43 [new_demod,42] multiplication(A,coantidomain(A))=zero.
% 1.73/1.93  ** KEPT (pick-wt=18): 44 [] addition(coantidomain(multiplication(A,B)),coantidomain(multiplication(coantidomain(coantidomain(A)),B)))=coantidomain(multiplication(coantidomain(coantidomain(A)),B)).
% 1.73/1.93  ---> New Demodulator: 45 [new_demod,44] addition(coantidomain(multiplication(A,B)),coantidomain(multiplication(coantidomain(coantidomain(A)),B)))=coantidomain(multiplication(coantidomain(coantidomain(A)),B)).
% 1.73/1.93  ** KEPT (pick-wt=8): 46 [] addition(coantidomain(coantidomain(A)),coantidomain(A))=one.
% 1.73/1.93  ---> New Demodulator: 47 [new_demod,46] addition(coantidomain(coantidomain(A)),coantidomain(A))=one.
% 1.73/1.93  ** KEPT (pick-wt=6): 48 [] codomain(A)=coantidomain(coantidomain(A)).
% 1.73/1.93  ---> New Demodulator: 49 [new_demod,48] codomain(A)=coantidomain(coantidomain(A)).
% 1.73/1.93  ** KEPT (pick-wt=7): 51 [copy,50,demod,41] c(A)=antidomain(antidomain(antidomain(A))).
% 1.73/1.93  ---> New Demodulator: 52 [new_demod,51] c(A)=antidomain(antidomain(antidomain(A))).
% 1.73/1.93  ** KEPT (pick-wt=10): 54 [copy,53,demod,41,flip.1] multiplication(antidomain(antidomain(A)),antidomain(B))=domain_difference(A,B).
% 1.73/1.93  ---> New Demodulator: 55 [new_demod,54] multiplication(antidomain(antidomain(A)),antidomain(B))=domain_difference(A,B).
% 1.73/1.93  ** KEPT (pick-wt=11): 57 [copy,56,demod,41,41,flip.1] antidomain(antidomain(multiplication(A,antidomain(antidomain(B)))))=forward_diamond(A,B).
% 1.76/1.96  ---> New Demodulator: 58 [new_demod,57] antidomain(antidomain(multiplication(A,antidomain(antidomain(B)))))=forward_diamond(A,B).
% 1.76/1.96  ** KEPT (pick-wt=11): 60 [copy,59,demod,49,49,flip.1] coantidomain(coantidomain(multiplication(coantidomain(coantidomain(A)),B)))=backward_diamond(B,A).
% 1.76/1.96  ---> New Demodulator: 61 [new_demod,60] coantidomain(coantidomain(multiplication(coantidomain(coantidomain(A)),B)))=backward_diamond(B,A).
% 1.76/1.96  ** KEPT (pick-wt=13): 63 [copy,62,demod,52,52,flip.1] antidomain(antidomain(antidomain(forward_diamond(A,antidomain(antidomain(antidomain(B)))))))=forward_box(A,B).
% 1.76/1.96  ---> New Demodulator: 64 [new_demod,63] antidomain(antidomain(antidomain(forward_diamond(A,antidomain(antidomain(antidomain(B)))))))=forward_box(A,B).
% 1.76/1.96  ** KEPT (pick-wt=13): 66 [copy,65,demod,52,52,flip.1] antidomain(antidomain(antidomain(backward_diamond(A,antidomain(antidomain(antidomain(B)))))))=backward_box(A,B).
% 1.76/1.96  ---> New Demodulator: 67 [new_demod,66] antidomain(antidomain(antidomain(backward_diamond(A,antidomain(antidomain(antidomain(B)))))))=backward_box(A,B).
% 1.76/1.96  ** KEPT (pick-wt=15): 69 [copy,68,demod,41,flip.1] addition(multiplication(antidomain(antidomain(A)),B),multiplication(antidomain(A),C))=if_then_else(A,B,C).
% 1.76/1.96  ---> New Demodulator: 70 [new_demod,69] addition(multiplication(antidomain(antidomain(A)),B),multiplication(antidomain(A),C))=if_then_else(A,B,C).
% 1.76/1.96  ** KEPT (pick-wt=16): 72 [copy,71,demod,41,41,41] addition(backward_diamond(sK5_goals_X1,multiplication(antidomain(sK4_goals_X2),antidomain(antidomain(sK3_goals_X3)))),antidomain(antidomain(sK2_goals_X4)))=antidomain(antidomain(sK2_goals_X4)).
% 1.76/1.96  ---> New Demodulator: 73 [new_demod,72] addition(backward_diamond(sK5_goals_X1,multiplication(antidomain(sK4_goals_X2),antidomain(antidomain(sK3_goals_X3)))),antidomain(antidomain(sK2_goals_X4)))=antidomain(antidomain(sK2_goals_X4)).
% 1.76/1.96  ** KEPT (pick-wt=14): 75 [copy,74,demod,41,41,55,41,41] addition(backward_diamond(sK1_goals_X0,domain_difference(sK4_goals_X2,antidomain(sK3_goals_X3))),antidomain(antidomain(sK2_goals_X4)))=antidomain(antidomain(sK2_goals_X4)).
% 1.76/1.96  ---> New Demodulator: 76 [new_demod,75] addition(backward_diamond(sK1_goals_X0,domain_difference(sK4_goals_X2,antidomain(sK3_goals_X3))),antidomain(antidomain(sK2_goals_X4)))=antidomain(antidomain(sK2_goals_X4)).
% 1.76/1.96    Following clause subsumed by 2 during input processing: 0 [copy,2,flip.1] A=A.
% 1.76/1.96  >>>> Starting back demodulation with 4.
% 1.76/1.96  >>>> Starting back demodulation with 6.
% 1.76/1.96    Following clause subsumed by 7 during input processing: 0 [copy,7,flip.1] addition(A,B)=addition(B,A).
% 1.76/1.96  >>>> Starting back demodulation with 10.
% 1.76/1.96  >>>> Starting back demodulation with 12.
% 1.76/1.96  >>>> Starting back demodulation with 14.
% 1.76/1.96  >>>> Starting back demodulation with 17.
% 1.76/1.96  >>>> Starting back demodulation with 19.
% 1.76/1.96  >>>> Starting back demodulation with 21.
% 1.76/1.96  >>>> Starting back demodulation with 23.
% 1.76/1.96  >>>> Starting back demodulation with 25.
% 1.76/1.96  >>>> Starting back demodulation with 27.
% 1.76/1.96  >>>> Starting back demodulation with 29.
% 1.76/1.96  >>>> Starting back demodulation with 31.
% 1.76/1.96  >>>> Starting back demodulation with 33.
% 1.76/1.96  >>>> Starting back demodulation with 35.
% 1.76/1.96  >>>> Starting back demodulation with 37.
% 1.76/1.96  >>>> Starting back demodulation with 39.
% 1.76/1.96  >>>> Starting back demodulation with 41.
% 1.76/1.96      >> back demodulating 1 with 41.
% 1.76/1.96  >>>> Starting back demodulation with 43.
% 1.76/1.96  >>>> Starting back demodulation with 45.
% 1.76/1.96  >>>> Starting back demodulation with 47.
% 1.76/1.96  >>>> Starting back demodulation with 49.
% 1.76/1.96  >>>> Starting back demodulation with 52.
% 1.76/1.96  >>>> Starting back demodulation with 55.
% 1.76/1.96  >>>> Starting back demodulation with 58.
% 1.76/1.96  >>>> Starting back demodulation with 61.
% 1.76/1.96  >>>> Starting back demodulation with 64.
% 1.76/1.96  >>>> Starting back demodulation with 67.
% 1.76/1.96  >>>> Starting back demodulation with 70.
% 1.76/1.96  >>>> Starting back demodulation with 73.
% 1.76/1.96  >>>> Starting back demodulation with 76.
% 1.76/1.96  
% 1.76/1.96  ======= end of input processing =======
% 1.76/1.96  
% 1.76/1.96  =========== start of search ===========
% 1.76/1.96  
% 1.76/1.96  
% 1.76/1.96  Resetting weight limit to 9.
% 1.76/1.96  
% 1.76/1.96  
% 1.76/1.96  Resetting weight limit to 9.
% 1.76/1.96  
% 1.76/1.96  sos_size=120
% 1.76/1.96  
% 1.76/1.96  
% 1.76/1.96  Resetting weight limit to 8.
% 1.76/1.96  
% 1.76/1.96  
% 1.76/1.96  Resetting weight limit to 8.
% 1.76/1.96  
% 1.76/1.96  sos_size=54
% 1.76/1.96  
% 1.76/1.96  
% 1.76/1.96  Resetting weight limit to 7.
% 1.76/1.96  
% 1.76/1.96  
% 1.76/1.96  Resetting weight limit to 7.
% 1.80/1.97  
% 1.80/1.97  sos_size=18
% 1.80/1.97  
% 1.80/1.97  Search stopped because sos empty.
% 1.80/1.97  
% 1.80/1.97  
% 1.80/1.97  Search stopped because sos empty.
% 1.80/1.97  
% 1.80/1.97  ============ end of search ============
% 1.80/1.97  
% 1.80/1.97  -------------- statistics -------------
% 1.80/1.97  clauses given                155
% 1.80/1.97  clauses generated           5022
% 1.80/1.97  clauses kept                 242
% 1.80/1.97  clauses forward subsumed    2887
% 1.80/1.97  clauses back subsumed          0
% 1.80/1.97  Kbytes malloced             4882
% 1.80/1.97  
% 1.80/1.97  ----------- times (seconds) -----------
% 1.80/1.97  user CPU time          0.05          (0 hr, 0 min, 0 sec)
% 1.80/1.97  system CPU time        0.00          (0 hr, 0 min, 0 sec)
% 1.80/1.97  wall-clock time        2             (0 hr, 0 min, 2 sec)
% 1.80/1.97  
% 1.80/1.97  Process 9853 finished Wed Jul 27 06:26:37 2022
% 1.80/1.97  Otter interrupted
% 1.80/1.97  PROOF NOT FOUND
%------------------------------------------------------------------------------