TSTP Solution File: REL050+3 by Otter---3.3

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Otter---3.3
% Problem  : REL050+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : otter-tptp-script %s

% Computer : n006.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 13:11:59 EDT 2022

% Result   : Unknown 2.07s 2.24s
% Output   : None 
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.11  % Problem  : REL050+3 : TPTP v8.1.0. Released v4.0.0.
% 0.02/0.11  % Command  : otter-tptp-script %s
% 0.11/0.31  % Computer : n006.cluster.edu
% 0.11/0.31  % Model    : x86_64 x86_64
% 0.11/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31  % Memory   : 8042.1875MB
% 0.11/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31  % CPULimit : 300
% 0.11/0.31  % WCLimit  : 300
% 0.11/0.31  % DateTime : Wed Jul 27 10:03:31 EDT 2022
% 0.11/0.31  % CPUTime  : 
% 1.96/2.14  ----- Otter 3.3f, August 2004 -----
% 1.96/2.14  The process was started by sandbox2 on n006.cluster.edu,
% 1.96/2.14  Wed Jul 27 10:03:32 2022
% 1.96/2.14  The command was "./otter".  The process ID is 19529.
% 1.96/2.14  
% 1.96/2.14  set(prolog_style_variables).
% 1.96/2.14  set(auto).
% 1.96/2.14     dependent: set(auto1).
% 1.96/2.14     dependent: set(process_input).
% 1.96/2.14     dependent: clear(print_kept).
% 1.96/2.14     dependent: clear(print_new_demod).
% 1.96/2.14     dependent: clear(print_back_demod).
% 1.96/2.14     dependent: clear(print_back_sub).
% 1.96/2.14     dependent: set(control_memory).
% 1.96/2.14     dependent: assign(max_mem, 12000).
% 1.96/2.14     dependent: assign(pick_given_ratio, 4).
% 1.96/2.14     dependent: assign(stats_level, 1).
% 1.96/2.14     dependent: assign(max_seconds, 10800).
% 1.96/2.14  clear(print_given).
% 1.96/2.14  
% 1.96/2.14  formula_list(usable).
% 1.96/2.14  all A (A=A).
% 1.96/2.14  all X0 X1 (join(X0,X1)=join(X1,X0)).
% 1.96/2.14  all X0 X1 X2 (join(X0,join(X1,X2))=join(join(X0,X1),X2)).
% 1.96/2.14  all X0 X1 (X0=join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1)))).
% 1.96/2.14  all X0 X1 (meet(X0,X1)=complement(join(complement(X0),complement(X1)))).
% 1.96/2.14  all X0 X1 X2 (composition(X0,composition(X1,X2))=composition(composition(X0,X1),X2)).
% 1.96/2.14  all X0 (composition(X0,one)=X0).
% 1.96/2.14  all X0 X1 X2 (composition(join(X0,X1),X2)=join(composition(X0,X2),composition(X1,X2))).
% 1.96/2.14  all X0 (converse(converse(X0))=X0).
% 1.96/2.14  all X0 X1 (converse(join(X0,X1))=join(converse(X0),converse(X1))).
% 1.96/2.14  all X0 X1 (converse(composition(X0,X1))=composition(converse(X1),converse(X0))).
% 1.96/2.14  all X0 X1 (join(composition(converse(X0),complement(composition(X0,X1))),complement(X1))=complement(X1)).
% 1.96/2.14  all X0 (top=join(X0,complement(X0))).
% 1.96/2.14  all X0 (zero=meet(X0,complement(X0))).
% 1.96/2.14  all X0 X1 X2 (join(meet(composition(X0,X1),X2),composition(meet(X0,composition(X2,converse(X1))),meet(X1,composition(converse(X0),X2))))=composition(meet(X0,composition(X2,converse(X1))),meet(X1,composition(converse(X0),X2)))).
% 1.96/2.14  all X0 X1 X2 (join(meet(composition(X0,X1),X2),meet(composition(X0,meet(X1,composition(converse(X0),X2))),X2))=meet(composition(X0,meet(X1,composition(converse(X0),X2))),X2)).
% 1.96/2.14  all X0 X1 X2 (join(meet(composition(X0,X1),X2),meet(composition(meet(X0,composition(X2,converse(X1))),X1),X2))=meet(composition(meet(X0,composition(X2,converse(X1))),X1),X2)).
% 1.96/2.14  -(all X0 (complement(composition(X0,top))=composition(complement(composition(X0,top)),top))).
% 1.96/2.14  end_of_list.
% 1.96/2.14  
% 1.96/2.14  -------> usable clausifies to:
% 1.96/2.14  
% 1.96/2.14  list(usable).
% 1.96/2.14  0 [] A=A.
% 1.96/2.14  0 [] join(X0,X1)=join(X1,X0).
% 1.96/2.14  0 [] join(X0,join(X1,X2))=join(join(X0,X1),X2).
% 1.96/2.14  0 [] X0=join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))).
% 1.96/2.14  0 [] meet(X0,X1)=complement(join(complement(X0),complement(X1))).
% 1.96/2.14  0 [] composition(X0,composition(X1,X2))=composition(composition(X0,X1),X2).
% 1.96/2.14  0 [] composition(X0,one)=X0.
% 1.96/2.14  0 [] composition(join(X0,X1),X2)=join(composition(X0,X2),composition(X1,X2)).
% 1.96/2.14  0 [] converse(converse(X0))=X0.
% 1.96/2.14  0 [] converse(join(X0,X1))=join(converse(X0),converse(X1)).
% 1.96/2.14  0 [] converse(composition(X0,X1))=composition(converse(X1),converse(X0)).
% 1.96/2.14  0 [] join(composition(converse(X0),complement(composition(X0,X1))),complement(X1))=complement(X1).
% 1.96/2.14  0 [] top=join(X0,complement(X0)).
% 1.96/2.14  0 [] zero=meet(X0,complement(X0)).
% 1.96/2.14  0 [] join(meet(composition(X0,X1),X2),composition(meet(X0,composition(X2,converse(X1))),meet(X1,composition(converse(X0),X2))))=composition(meet(X0,composition(X2,converse(X1))),meet(X1,composition(converse(X0),X2))).
% 1.96/2.14  0 [] join(meet(composition(X0,X1),X2),meet(composition(X0,meet(X1,composition(converse(X0),X2))),X2))=meet(composition(X0,meet(X1,composition(converse(X0),X2))),X2).
% 1.96/2.14  0 [] join(meet(composition(X0,X1),X2),meet(composition(meet(X0,composition(X2,converse(X1))),X1),X2))=meet(composition(meet(X0,composition(X2,converse(X1))),X1),X2).
% 1.96/2.14  0 [] complement(composition($c1,top))!=composition(complement(composition($c1,top)),top).
% 1.96/2.14  end_of_list.
% 1.96/2.14  
% 1.96/2.14  SCAN INPUT: prop=0, horn=1, equality=1, symmetry=0, max_lits=1.
% 1.96/2.14  
% 1.96/2.14  All clauses are units, and equality is present; the
% 1.96/2.14  strategy will be Knuth-Bendix with positive clauses in sos.
% 1.96/2.14  
% 1.96/2.14     dependent: set(knuth_bendix).
% 1.96/2.14     dependent: set(anl_eq).
% 1.96/2.14     dependent: set(para_from).
% 1.96/2.14     dependent: set(para_into).
% 1.96/2.14     dependent: clear(para_from_right).
% 1.96/2.14     dependent: clear(para_into_right).
% 1.96/2.14     dependent: set(para_from_vars).
% 1.96/2.14     dependent: set(eq_units_both_ways).
% 1.96/2.14     dependent: set(dynamic_demod_all).
% 1.96/2.14     dependent: set(dynamic_demod).
% 1.96/2.14     dependent: set(order_eq).
% 1.96/2.14     dependent: set(back_demod).
% 1.96/2.14     dependent: set(lrpo).
% 1.96/2.14  
% 1.96/2.14  ------------> process usable:
% 1.96/2.14  ** KEPT (pick-wt=11): 2 [copy,1,flip.1] composition(complement(composition($c1,top)),top)!=complement(composition($c1,top)).
% 1.96/2.14  
% 1.96/2.14  ------------> process sos:
% 1.96/2.14  ** KEPT (pick-wt=3): 3 [] A=A.
% 1.96/2.14  ** KEPT (pick-wt=7): 4 [] join(A,B)=join(B,A).
% 1.96/2.14  ** KEPT (pick-wt=11): 6 [copy,5,flip.1] join(join(A,B),C)=join(A,join(B,C)).
% 1.96/2.14  ---> New Demodulator: 7 [new_demod,6] join(join(A,B),C)=join(A,join(B,C)).
% 1.96/2.14  ** KEPT (pick-wt=14): 9 [copy,8,flip.1] join(complement(join(complement(A),complement(B))),complement(join(complement(A),B)))=A.
% 1.96/2.14  ---> New Demodulator: 10 [new_demod,9] join(complement(join(complement(A),complement(B))),complement(join(complement(A),B)))=A.
% 1.96/2.14  ** KEPT (pick-wt=10): 12 [copy,11,flip.1] complement(join(complement(A),complement(B)))=meet(A,B).
% 1.96/2.14  ---> New Demodulator: 13 [new_demod,12] complement(join(complement(A),complement(B)))=meet(A,B).
% 1.96/2.14  ** KEPT (pick-wt=11): 15 [copy,14,flip.1] composition(composition(A,B),C)=composition(A,composition(B,C)).
% 1.96/2.14  ---> New Demodulator: 16 [new_demod,15] composition(composition(A,B),C)=composition(A,composition(B,C)).
% 1.96/2.14  ** KEPT (pick-wt=5): 17 [] composition(A,one)=A.
% 1.96/2.14  ---> New Demodulator: 18 [new_demod,17] composition(A,one)=A.
% 1.96/2.14  ** KEPT (pick-wt=13): 20 [copy,19,flip.1] join(composition(A,B),composition(C,B))=composition(join(A,C),B).
% 1.96/2.14  ---> New Demodulator: 21 [new_demod,20] join(composition(A,B),composition(C,B))=composition(join(A,C),B).
% 1.96/2.14  ** KEPT (pick-wt=5): 22 [] converse(converse(A))=A.
% 1.96/2.14  ---> New Demodulator: 23 [new_demod,22] converse(converse(A))=A.
% 1.96/2.14  ** KEPT (pick-wt=10): 24 [] converse(join(A,B))=join(converse(A),converse(B)).
% 1.96/2.14  ---> New Demodulator: 25 [new_demod,24] converse(join(A,B))=join(converse(A),converse(B)).
% 1.96/2.14  ** KEPT (pick-wt=10): 26 [] converse(composition(A,B))=composition(converse(B),converse(A)).
% 1.96/2.14  ---> New Demodulator: 27 [new_demod,26] converse(composition(A,B))=composition(converse(B),converse(A)).
% 1.96/2.14  ** KEPT (pick-wt=13): 28 [] join(composition(converse(A),complement(composition(A,B))),complement(B))=complement(B).
% 1.96/2.14  ---> New Demodulator: 29 [new_demod,28] join(composition(converse(A),complement(composition(A,B))),complement(B))=complement(B).
% 1.96/2.14  ** KEPT (pick-wt=6): 31 [copy,30,flip.1] join(A,complement(A))=top.
% 1.96/2.14  ---> New Demodulator: 32 [new_demod,31] join(A,complement(A))=top.
% 1.96/2.14  ** KEPT (pick-wt=6): 34 [copy,33,flip.1] meet(A,complement(A))=zero.
% 1.96/2.14  ---> New Demodulator: 35 [new_demod,34] meet(A,complement(A))=zero.
% 1.96/2.14  ** KEPT (pick-wt=33): 36 [] join(meet(composition(A,B),C),composition(meet(A,composition(C,converse(B))),meet(B,composition(converse(A),C))))=composition(meet(A,composition(C,converse(B))),meet(B,composition(converse(A),C))).
% 1.96/2.14  ---> New Demodulator: 37 [new_demod,36] join(meet(composition(A,B),C),composition(meet(A,composition(C,converse(B))),meet(B,composition(converse(A),C))))=composition(meet(A,composition(C,converse(B))),meet(B,composition(converse(A),C))).
% 1.96/2.14  ** KEPT (pick-wt=27): 38 [] join(meet(composition(A,B),C),meet(composition(A,meet(B,composition(converse(A),C))),C))=meet(composition(A,meet(B,composition(converse(A),C))),C).
% 1.96/2.14  ---> New Demodulator: 39 [new_demod,38] join(meet(composition(A,B),C),meet(composition(A,meet(B,composition(converse(A),C))),C))=meet(composition(A,meet(B,composition(converse(A),C))),C).
% 1.96/2.14  ** KEPT (pick-wt=27): 40 [] join(meet(composition(A,B),C),meet(composition(meet(A,composition(C,converse(B))),B),C))=meet(composition(meet(A,composition(C,converse(B))),B),C).
% 1.96/2.14  ---> New Demodulator: 41 [new_demod,40] join(meet(composition(A,B),C),meet(composition(meet(A,composition(C,converse(B))),B),C))=meet(composition(meet(A,composition(C,converse(B))),B),C).
% 1.96/2.14    Following clause subsumed by 3 during input processing: 0 [copy,3,flip.1] A=A.
% 1.96/2.14    Following clause subsumed by 4 during input processing: 0 [copy,4,flip.1] join(A,B)=join(B,A).
% 1.96/2.14  >>>> Starting back demodulation with 7.
% 1.96/2.14  >>>> Starting back demodulation with 10.
% 1.96/2.14  >>>> Starting back demodulation with 13.
% 1.96/2.14      >> back demodulating 9 with 13.
% 2.07/2.24  >>>> Starting back demodulation with 16.
% 2.07/2.24  >>>> Starting back demodulation with 18.
% 2.07/2.24  >>>> Starting back demodulation with 21.
% 2.07/2.24  >>>> Starting back demodulation with 23.
% 2.07/2.24  >>>> Starting back demodulation with 25.
% 2.07/2.24  >>>> Starting back demodulation with 27.
% 2.07/2.24  >>>> Starting back demodulation with 29.
% 2.07/2.24  >>>> Starting back demodulation with 32.
% 2.07/2.24  >>>> Starting back demodulation with 35.
% 2.07/2.24  >>>> Starting back demodulation with 37.
% 2.07/2.24  >>>> Starting back demodulation with 39.
% 2.07/2.24  >>>> Starting back demodulation with 41.
% 2.07/2.24  >>>> Starting back demodulation with 43.
% 2.07/2.24  
% 2.07/2.24  ======= end of input processing =======
% 2.07/2.24  
% 2.07/2.24  =========== start of search ===========
% 2.07/2.24  
% 2.07/2.24  
% 2.07/2.24  Resetting weight limit to 9.
% 2.07/2.24  
% 2.07/2.24  
% 2.07/2.24  Resetting weight limit to 9.
% 2.07/2.24  
% 2.07/2.24  sos_size=129
% 2.07/2.24  
% 2.07/2.24  
% 2.07/2.24  Resetting weight limit to 8.
% 2.07/2.24  
% 2.07/2.24  
% 2.07/2.24  Resetting weight limit to 8.
% 2.07/2.24  
% 2.07/2.24  sos_size=73
% 2.07/2.24  
% 2.07/2.24  Search stopped because sos empty.
% 2.07/2.24  
% 2.07/2.24  
% 2.07/2.24  Search stopped because sos empty.
% 2.07/2.24  
% 2.07/2.24  ============ end of search ============
% 2.07/2.24  
% 2.07/2.24  -------------- statistics -------------
% 2.07/2.24  clauses given                205
% 2.07/2.24  clauses generated           8605
% 2.07/2.24  clauses kept                 344
% 2.07/2.24  clauses forward subsumed    3370
% 2.07/2.24  clauses back subsumed          0
% 2.07/2.24  Kbytes malloced             6835
% 2.07/2.24  
% 2.07/2.24  ----------- times (seconds) -----------
% 2.07/2.24  user CPU time          0.10          (0 hr, 0 min, 0 sec)
% 2.07/2.24  system CPU time        0.00          (0 hr, 0 min, 0 sec)
% 2.07/2.24  wall-clock time        1             (0 hr, 0 min, 1 sec)
% 2.07/2.24  
% 2.07/2.24  Process 19529 finished Wed Jul 27 10:03:33 2022
% 2.07/2.24  Otter interrupted
% 2.07/2.24  PROOF NOT FOUND
%------------------------------------------------------------------------------