TSTP Solution File: REL017+2 by Otter---3.3

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Otter---3.3
% Problem  : REL017+2 : TPTP v8.1.0. Released v4.0.0.
% 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 13:11:50 EDT 2022

% Result   : Unknown 1.91s 2.09s
% Output   : None 
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem  : REL017+2 : TPTP v8.1.0. Released v4.0.0.
% 0.04/0.13  % Command  : otter-tptp-script %s
% 0.12/0.34  % Computer : n010.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 300
% 0.12/0.34  % DateTime : Wed Jul 27 09:58:09 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 1.79/2.00  ----- Otter 3.3f, August 2004 -----
% 1.79/2.00  The process was started by sandbox2 on n010.cluster.edu,
% 1.79/2.00  Wed Jul 27 09:58:10 2022
% 1.79/2.00  The command was "./otter".  The process ID is 31061.
% 1.79/2.00  
% 1.79/2.00  set(prolog_style_variables).
% 1.79/2.00  set(auto).
% 1.79/2.00     dependent: set(auto1).
% 1.79/2.00     dependent: set(process_input).
% 1.79/2.00     dependent: clear(print_kept).
% 1.79/2.00     dependent: clear(print_new_demod).
% 1.79/2.00     dependent: clear(print_back_demod).
% 1.79/2.00     dependent: clear(print_back_sub).
% 1.79/2.00     dependent: set(control_memory).
% 1.79/2.00     dependent: assign(max_mem, 12000).
% 1.79/2.00     dependent: assign(pick_given_ratio, 4).
% 1.79/2.00     dependent: assign(stats_level, 1).
% 1.79/2.00     dependent: assign(max_seconds, 10800).
% 1.79/2.00  clear(print_given).
% 1.79/2.00  
% 1.79/2.00  formula_list(usable).
% 1.79/2.00  all A (A=A).
% 1.79/2.00  all X0 X1 (join(X0,X1)=join(X1,X0)).
% 1.79/2.00  all X0 X1 X2 (join(X0,join(X1,X2))=join(join(X0,X1),X2)).
% 1.79/2.00  all X0 X1 (X0=join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1)))).
% 1.79/2.00  all X0 X1 (meet(X0,X1)=complement(join(complement(X0),complement(X1)))).
% 1.79/2.00  all X0 X1 X2 (composition(X0,composition(X1,X2))=composition(composition(X0,X1),X2)).
% 1.79/2.00  all X0 (composition(X0,one)=X0).
% 1.79/2.00  all X0 X1 X2 (composition(join(X0,X1),X2)=join(composition(X0,X2),composition(X1,X2))).
% 1.79/2.00  all X0 (converse(converse(X0))=X0).
% 1.79/2.00  all X0 X1 (converse(join(X0,X1))=join(converse(X0),converse(X1))).
% 1.79/2.00  all X0 X1 (converse(composition(X0,X1))=composition(converse(X1),converse(X0))).
% 1.79/2.00  all X0 X1 (join(composition(converse(X0),complement(composition(X0,X1))),complement(X1))=complement(X1)).
% 1.79/2.00  all X0 (top=join(X0,complement(X0))).
% 1.79/2.00  all X0 (zero=meet(X0,complement(X0))).
% 1.79/2.00  -(all X0 X1 X2 (join(join(join(complement(composition(X0,X1)),composition(X0,X2)),complement(composition(X0,meet(X1,complement(X2))))),composition(X0,X2))=join(complement(composition(X0,meet(X1,complement(X2)))),composition(X0,X2))&join(join(join(complement(composition(X0,meet(X1,complement(X2)))),composition(X0,X2)),complement(composition(X0,X1))),composition(X0,X2))=join(complement(composition(X0,X1)),composition(X0,X2)))).
% 1.79/2.00  end_of_list.
% 1.79/2.00  
% 1.79/2.00  -------> usable clausifies to:
% 1.79/2.00  
% 1.79/2.00  list(usable).
% 1.79/2.00  0 [] A=A.
% 1.79/2.00  0 [] join(X0,X1)=join(X1,X0).
% 1.79/2.00  0 [] join(X0,join(X1,X2))=join(join(X0,X1),X2).
% 1.79/2.00  0 [] X0=join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))).
% 1.79/2.00  0 [] meet(X0,X1)=complement(join(complement(X0),complement(X1))).
% 1.79/2.00  0 [] composition(X0,composition(X1,X2))=composition(composition(X0,X1),X2).
% 1.79/2.00  0 [] composition(X0,one)=X0.
% 1.79/2.00  0 [] composition(join(X0,X1),X2)=join(composition(X0,X2),composition(X1,X2)).
% 1.79/2.00  0 [] converse(converse(X0))=X0.
% 1.79/2.00  0 [] converse(join(X0,X1))=join(converse(X0),converse(X1)).
% 1.79/2.00  0 [] converse(composition(X0,X1))=composition(converse(X1),converse(X0)).
% 1.79/2.00  0 [] join(composition(converse(X0),complement(composition(X0,X1))),complement(X1))=complement(X1).
% 1.79/2.00  0 [] top=join(X0,complement(X0)).
% 1.79/2.00  0 [] zero=meet(X0,complement(X0)).
% 1.79/2.00  0 [] join(join(join(complement(composition($c3,$c2)),composition($c3,$c1)),complement(composition($c3,meet($c2,complement($c1))))),composition($c3,$c1))!=join(complement(composition($c3,meet($c2,complement($c1)))),composition($c3,$c1))|join(join(join(complement(composition($c3,meet($c2,complement($c1)))),composition($c3,$c1)),complement(composition($c3,$c2))),composition($c3,$c1))!=join(complement(composition($c3,$c2)),composition($c3,$c1)).
% 1.79/2.00  end_of_list.
% 1.79/2.00  
% 1.79/2.00  SCAN INPUT: prop=0, horn=1, equality=1, symmetry=0, max_lits=2.
% 1.79/2.00  
% 1.79/2.00  This is a Horn set with equality.  The strategy will be
% 1.79/2.00  Knuth-Bendix and hyper_res, with positive clauses in
% 1.79/2.00  sos and nonpositive clauses in usable.
% 1.79/2.00  
% 1.79/2.00     dependent: set(knuth_bendix).
% 1.79/2.00     dependent: set(anl_eq).
% 1.79/2.00     dependent: set(para_from).
% 1.79/2.00     dependent: set(para_into).
% 1.79/2.00     dependent: clear(para_from_right).
% 1.79/2.00     dependent: clear(para_into_right).
% 1.79/2.00     dependent: set(para_from_vars).
% 1.79/2.00     dependent: set(eq_units_both_ways).
% 1.79/2.00     dependent: set(dynamic_demod_all).
% 1.79/2.00     dependent: set(dynamic_demod).
% 1.79/2.00     dependent: set(order_eq).
% 1.79/2.00     dependent: set(back_demod).
% 1.79/2.00     dependent: set(lrpo).
% 1.79/2.00     dependent: set(hyper_res).
% 1.79/2.00     dependent: clear(order_hyper).
% 1.79/2.00  
% 1.79/2.00  ------------> process usable:
% 1.79/2.00  ** KEPT (pick-wt=61): 1 [] join(join(join(complement(composition($c3,$c2)),composition($c3,$c1)),complement(composition($c3,meet($c2,complement($c1))))),composition($c3,$c1))!=join(complement(composition($c3,meet($c2,complement($c1)))),composition($c3,$c1))|join(join(join(complement(composition($c3,meet($c2,complement($c1)))),composition($c3,$c1)),complement(composition($c3,$c2))),composition($c3,$c1))!=join(complement(composition($c3,$c2)),composition($c3,$c1)).
% 1.91/2.09  
% 1.91/2.09  ------------> process sos:
% 1.91/2.09  ** KEPT (pick-wt=3): 2 [] A=A.
% 1.91/2.09  ** KEPT (pick-wt=7): 3 [] join(A,B)=join(B,A).
% 1.91/2.09  ** KEPT (pick-wt=11): 5 [copy,4,flip.1] join(join(A,B),C)=join(A,join(B,C)).
% 1.91/2.09  ---> New Demodulator: 6 [new_demod,5] join(join(A,B),C)=join(A,join(B,C)).
% 1.91/2.09  ** KEPT (pick-wt=14): 8 [copy,7,flip.1] join(complement(join(complement(A),complement(B))),complement(join(complement(A),B)))=A.
% 1.91/2.09  ---> New Demodulator: 9 [new_demod,8] join(complement(join(complement(A),complement(B))),complement(join(complement(A),B)))=A.
% 1.91/2.09  ** KEPT (pick-wt=10): 11 [copy,10,flip.1] complement(join(complement(A),complement(B)))=meet(A,B).
% 1.91/2.09  ---> New Demodulator: 12 [new_demod,11] complement(join(complement(A),complement(B)))=meet(A,B).
% 1.91/2.09  ** KEPT (pick-wt=11): 14 [copy,13,flip.1] composition(composition(A,B),C)=composition(A,composition(B,C)).
% 1.91/2.09  ---> New Demodulator: 15 [new_demod,14] composition(composition(A,B),C)=composition(A,composition(B,C)).
% 1.91/2.09  ** KEPT (pick-wt=5): 16 [] composition(A,one)=A.
% 1.91/2.09  ---> New Demodulator: 17 [new_demod,16] composition(A,one)=A.
% 1.91/2.09  ** KEPT (pick-wt=13): 19 [copy,18,flip.1] join(composition(A,B),composition(C,B))=composition(join(A,C),B).
% 1.91/2.09  ---> New Demodulator: 20 [new_demod,19] join(composition(A,B),composition(C,B))=composition(join(A,C),B).
% 1.91/2.09  ** KEPT (pick-wt=5): 21 [] converse(converse(A))=A.
% 1.91/2.09  ---> New Demodulator: 22 [new_demod,21] converse(converse(A))=A.
% 1.91/2.09  ** KEPT (pick-wt=10): 23 [] converse(join(A,B))=join(converse(A),converse(B)).
% 1.91/2.09  ---> New Demodulator: 24 [new_demod,23] converse(join(A,B))=join(converse(A),converse(B)).
% 1.91/2.09  ** KEPT (pick-wt=10): 25 [] converse(composition(A,B))=composition(converse(B),converse(A)).
% 1.91/2.09  ---> New Demodulator: 26 [new_demod,25] converse(composition(A,B))=composition(converse(B),converse(A)).
% 1.91/2.09  ** KEPT (pick-wt=13): 27 [] join(composition(converse(A),complement(composition(A,B))),complement(B))=complement(B).
% 1.91/2.09  ---> New Demodulator: 28 [new_demod,27] join(composition(converse(A),complement(composition(A,B))),complement(B))=complement(B).
% 1.91/2.09  ** KEPT (pick-wt=6): 30 [copy,29,flip.1] join(A,complement(A))=top.
% 1.91/2.09  ---> New Demodulator: 31 [new_demod,30] join(A,complement(A))=top.
% 1.91/2.09  ** KEPT (pick-wt=6): 33 [copy,32,flip.1] meet(A,complement(A))=zero.
% 1.91/2.09  ---> New Demodulator: 34 [new_demod,33] meet(A,complement(A))=zero.
% 1.91/2.09    Following clause subsumed by 2 during input processing: 0 [copy,2,flip.1] A=A.
% 1.91/2.09    Following clause subsumed by 3 during input processing: 0 [copy,3,flip.1] join(A,B)=join(B,A).
% 1.91/2.09  >>>> Starting back demodulation with 6.
% 1.91/2.09      >> back demodulating 1 with 6.
% 1.91/2.09  >>>> Starting back demodulation with 9.
% 1.91/2.09  >>>> Starting back demodulation with 12.
% 1.91/2.09      >> back demodulating 8 with 12.
% 1.91/2.09  >>>> Starting back demodulation with 15.
% 1.91/2.09  >>>> Starting back demodulation with 17.
% 1.91/2.09  >>>> Starting back demodulation with 20.
% 1.91/2.09  >>>> Starting back demodulation with 22.
% 1.91/2.09  >>>> Starting back demodulation with 24.
% 1.91/2.09  >>>> Starting back demodulation with 26.
% 1.91/2.09  >>>> Starting back demodulation with 28.
% 1.91/2.09  >>>> Starting back demodulation with 31.
% 1.91/2.09  >>>> Starting back demodulation with 34.
% 1.91/2.09  >>>> Starting back demodulation with 37.
% 1.91/2.09  
% 1.91/2.09  ======= end of input processing =======
% 1.91/2.09  
% 1.91/2.09  =========== start of search ===========
% 1.91/2.09  
% 1.91/2.09  
% 1.91/2.09  Resetting weight limit to 9.
% 1.91/2.09  
% 1.91/2.09  
% 1.91/2.09  Resetting weight limit to 9.
% 1.91/2.09  
% 1.91/2.09  sos_size=203
% 1.91/2.09  
% 1.91/2.09  
% 1.91/2.09  Resetting weight limit to 8.
% 1.91/2.09  
% 1.91/2.09  
% 1.91/2.09  Resetting weight limit to 8.
% 1.91/2.09  
% 1.91/2.09  sos_size=152
% 1.91/2.09  
% 1.91/2.09  Search stopped because sos empty.
% 1.91/2.09  
% 1.91/2.09  
% 1.91/2.09  Search stopped because sos empty.
% 1.91/2.09  
% 1.91/2.09  ============ end of search ============
% 1.91/2.09  
% 1.91/2.09  -------------- statistics -------------
% 1.91/2.09  clauses given                212
% 1.91/2.09  clauses generated           9309
% 1.91/2.09  clauses kept                 441
% 1.91/2.09  clauses forward subsumed    4399
% 1.91/2.09  clauses back subsumed          0
% 1.91/2.09  Kbytes malloced             5859
% 1.91/2.09  
% 1.91/2.09  ----------- times (seconds) -----------
% 1.91/2.09  user CPU time          0.09          (0 hr, 0 min, 0 sec)
% 1.91/2.09  system CPU time        0.01          (0 hr, 0 min, 0 sec)
% 1.91/2.09  wall-clock time        1             (0 hr, 0 min, 1 sec)
% 1.91/2.09  
% 1.91/2.09  Process 31061 finished Wed Jul 27 09:58:11 2022
% 1.91/2.09  Otter interrupted
% 1.91/2.09  PROOF NOT FOUND
%------------------------------------------------------------------------------