TSTP Solution File: ALG071+1 by Otter---3.3

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Otter---3.3
% Problem  : ALG071+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : otter-tptp-script %s

% Computer : n028.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 12:46:00 EDT 2022

% Result   : Unknown 3.74s 3.94s
% Output   : None 
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : ALG071+1 : TPTP v8.1.0. Released v2.7.0.
% 0.06/0.12  % Command  : otter-tptp-script %s
% 0.12/0.33  % Computer : n028.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 03:47:48 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 3.74/3.94  ----- Otter 3.3f, August 2004 -----
% 3.74/3.94  The process was started by sandbox2 on n028.cluster.edu,
% 3.74/3.94  Wed Jul 27 03:47:48 2022
% 3.74/3.94  The command was "./otter".  The process ID is 22685.
% 3.74/3.94  
% 3.74/3.94  set(prolog_style_variables).
% 3.74/3.94  set(auto).
% 3.74/3.94     dependent: set(auto1).
% 3.74/3.94     dependent: set(process_input).
% 3.74/3.94     dependent: clear(print_kept).
% 3.74/3.94     dependent: clear(print_new_demod).
% 3.74/3.94     dependent: clear(print_back_demod).
% 3.74/3.94     dependent: clear(print_back_sub).
% 3.74/3.94     dependent: set(control_memory).
% 3.74/3.94     dependent: assign(max_mem, 12000).
% 3.74/3.94     dependent: assign(pick_given_ratio, 4).
% 3.74/3.94     dependent: assign(stats_level, 1).
% 3.74/3.94     dependent: assign(max_seconds, 10800).
% 3.74/3.94  clear(print_given).
% 3.74/3.94  
% 3.74/3.94  formula_list(usable).
% 3.74/3.94  all A (A=A).
% 3.74/3.94  all U (sorti1(U)-> (all V (sorti1(V)->sorti1(op1(U,V))))).
% 3.74/3.94  all U (sorti2(U)-> (all V (sorti2(V)->sorti2(op2(U,V))))).
% 3.74/3.94  all U (sorti1(U)-> (exists V (sorti1(V)&op1(V,op1(V,U))!=U&op1(U,op1(V,U))=V))).
% 3.74/3.94  -(all U (sorti2(U)-> (exists V (sorti2(V)&op2(V,op2(V,U))!=U&op2(U,op2(V,U))=V)))).
% 3.74/3.94  -((all U (sorti1(U)->sorti2(h(U))))& (all V (sorti2(V)->sorti1(j(V))))-> -((all W (sorti1(W)-> (all X (sorti1(X)->h(op1(W,X))=op2(h(W),h(X))))))& (all Y (sorti2(Y)-> (all Z (sorti2(Z)->j(op2(Y,Z))=op1(j(Y),j(Z))))))& (all X1 (sorti2(X1)->h(j(X1))=X1))& (all X2 (sorti1(X2)->j(h(X2))=X2)))).
% 3.74/3.94  end_of_list.
% 3.74/3.94  
% 3.74/3.94  -------> usable clausifies to:
% 3.74/3.94  
% 3.74/3.94  list(usable).
% 3.74/3.94  0 [] A=A.
% 3.74/3.94  0 [] -sorti1(U)| -sorti1(V)|sorti1(op1(U,V)).
% 3.74/3.94  0 [] -sorti2(U)| -sorti2(V)|sorti2(op2(U,V)).
% 3.74/3.94  0 [] -sorti1(U)|sorti1($f1(U)).
% 3.74/3.94  0 [] -sorti1(U)|op1($f1(U),op1($f1(U),U))!=U.
% 3.74/3.94  0 [] -sorti1(U)|op1(U,op1($f1(U),U))=$f1(U).
% 3.74/3.94  0 [] sorti2($c1).
% 3.74/3.94  0 [] -sorti2(V)|op2(V,op2(V,$c1))=$c1|op2($c1,op2(V,$c1))!=V.
% 3.74/3.94  0 [] -sorti1(U)|sorti2(h(U)).
% 3.74/3.94  0 [] -sorti2(V)|sorti1(j(V)).
% 3.74/3.94  0 [] -sorti1(W)| -sorti1(X)|h(op1(W,X))=op2(h(W),h(X)).
% 3.74/3.94  0 [] -sorti2(Y)| -sorti2(Z)|j(op2(Y,Z))=op1(j(Y),j(Z)).
% 3.74/3.94  0 [] -sorti2(X1)|h(j(X1))=X1.
% 3.74/3.94  0 [] -sorti1(X2)|j(h(X2))=X2.
% 3.74/3.94  end_of_list.
% 3.74/3.94  
% 3.74/3.94  SCAN INPUT: prop=0, horn=1, equality=1, symmetry=0, max_lits=3.
% 3.74/3.94  
% 3.74/3.94  This is a Horn set with equality.  The strategy will be
% 3.74/3.94  Knuth-Bendix and hyper_res, with positive clauses in
% 3.74/3.94  sos and nonpositive clauses in usable.
% 3.74/3.94  
% 3.74/3.94     dependent: set(knuth_bendix).
% 3.74/3.94     dependent: set(anl_eq).
% 3.74/3.94     dependent: set(para_from).
% 3.74/3.94     dependent: set(para_into).
% 3.74/3.94     dependent: clear(para_from_right).
% 3.74/3.94     dependent: clear(para_into_right).
% 3.74/3.94     dependent: set(para_from_vars).
% 3.74/3.94     dependent: set(eq_units_both_ways).
% 3.74/3.94     dependent: set(dynamic_demod_all).
% 3.74/3.94     dependent: set(dynamic_demod).
% 3.74/3.94     dependent: set(order_eq).
% 3.74/3.94     dependent: set(back_demod).
% 3.74/3.94     dependent: set(lrpo).
% 3.74/3.94     dependent: set(hyper_res).
% 3.74/3.94     dependent: clear(order_hyper).
% 3.74/3.94  
% 3.74/3.94  ------------> process usable:
% 3.74/3.94  ** KEPT (pick-wt=8): 1 [] -sorti1(A)| -sorti1(B)|sorti1(op1(A,B)).
% 3.74/3.94  ** KEPT (pick-wt=8): 2 [] -sorti2(A)| -sorti2(B)|sorti2(op2(A,B)).
% 3.74/3.94  ** KEPT (pick-wt=5): 3 [] -sorti1(A)|sorti1($f1(A)).
% 3.74/3.94  ** KEPT (pick-wt=11): 4 [] -sorti1(A)|op1($f1(A),op1($f1(A),A))!=A.
% 3.74/3.94  ** KEPT (pick-wt=11): 5 [] -sorti1(A)|op1(A,op1($f1(A),A))=$f1(A).
% 3.74/3.94  ** KEPT (pick-wt=16): 6 [] -sorti2(A)|op2(A,op2(A,$c1))=$c1|op2($c1,op2(A,$c1))!=A.
% 3.74/3.94  ** KEPT (pick-wt=5): 7 [] -sorti1(A)|sorti2(h(A)).
% 3.74/3.94  ** KEPT (pick-wt=5): 8 [] -sorti2(A)|sorti1(j(A)).
% 3.74/3.94  ** KEPT (pick-wt=14): 9 [] -sorti1(A)| -sorti1(B)|h(op1(A,B))=op2(h(A),h(B)).
% 3.74/3.94  ** KEPT (pick-wt=14): 10 [] -sorti2(A)| -sorti2(B)|j(op2(A,B))=op1(j(A),j(B)).
% 3.74/3.94  ** KEPT (pick-wt=7): 11 [] -sorti2(A)|h(j(A))=A.
% 3.74/3.94  ** KEPT (pick-wt=7): 12 [] -sorti1(A)|j(h(A))=A.
% 3.74/3.94  
% 3.74/3.94  ------------> process sos:
% 3.74/3.94  ** KEPT (pick-wt=3): 13 [] A=A.
% 3.74/3.94  ** KEPT (pick-wt=2): 14 [] sorti2($c1).
% 3.74/3.94    Following clause subsumed by 13 during input processing: 0 [copy,13,flip.1] A=A.
% 3.74/3.94  
% 3.74/3.94  ======= end of input processing =======
% 3.74/3.94  
% 3.74/3.94  =========== start of search ===========
% 3.74/3.94  
% 3.74/3.94  
% 3.74/3.94  Resetting weight limit to 10.
% 3.74/3.94  
% 3.74/3.94  
% 3.74/3.94  Resetting weight limit to 10.
% 3.74/3.94  
% 3.74/3.94  sos_size=982
% 3.74/3.94  
% 3.74/3.94  Search stopped because sos empty.
% 3.74/3.94  
% 3.74/3.94  
% 3.74/3.94  Search stopped because sos empty.
% 3.74/3.94  
% 3.74/3.94  ============ end of search ============
% 3.74/3.94  
% 3.74/3.94  -------------- statistics -------------
% 3.74/3.94  clauses given               1050
% 3.74/3.94  clauses generated         301124
% 3.74/3.94  clauses kept                1062
% 3.74/3.94  clauses forward subsumed     205
% 3.74/3.94  clauses back subsumed          0
% 3.74/3.94  Kbytes malloced             7812
% 3.74/3.94  
% 3.74/3.94  ----------- times (seconds) -----------
% 3.74/3.94  user CPU time          2.00          (0 hr, 0 min, 2 sec)
% 3.74/3.94  system CPU time        0.01          (0 hr, 0 min, 0 sec)
% 3.74/3.94  wall-clock time        4             (0 hr, 0 min, 4 sec)
% 3.74/3.94  
% 3.74/3.94  Process 22685 finished Wed Jul 27 03:47:52 2022
% 3.74/3.94  Otter interrupted
% 3.74/3.94  PROOF NOT FOUND
%------------------------------------------------------------------------------