TSTP Solution File: SEU131+2 by Otter---3.3

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Otter---3.3
% Problem  : SEU131+2 : TPTP v8.1.0. Released v3.3.0.
% 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 13:14:51 EDT 2022

% Result   : Timeout 299.85s 300.04s
% Output   : None 
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : SEU131+2 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.12  % 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 07:33:05 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 1.81/2.02  ----- Otter 3.3f, August 2004 -----
% 1.81/2.02  The process was started by sandbox2 on n012.cluster.edu,
% 1.81/2.02  Wed Jul 27 07:33:05 2022
% 1.81/2.02  The command was "./otter".  The process ID is 24460.
% 1.81/2.02  
% 1.81/2.02  set(prolog_style_variables).
% 1.81/2.02  set(auto).
% 1.81/2.02     dependent: set(auto1).
% 1.81/2.02     dependent: set(process_input).
% 1.81/2.02     dependent: clear(print_kept).
% 1.81/2.02     dependent: clear(print_new_demod).
% 1.81/2.02     dependent: clear(print_back_demod).
% 1.81/2.02     dependent: clear(print_back_sub).
% 1.81/2.02     dependent: set(control_memory).
% 1.81/2.02     dependent: assign(max_mem, 12000).
% 1.81/2.02     dependent: assign(pick_given_ratio, 4).
% 1.81/2.02     dependent: assign(stats_level, 1).
% 1.81/2.02     dependent: assign(max_seconds, 10800).
% 1.81/2.02  clear(print_given).
% 1.81/2.02  
% 1.81/2.02  formula_list(usable).
% 1.81/2.02  all A (A=A).
% 1.81/2.02  all A B (in(A,B)-> -in(B,A)).
% 1.81/2.02  all A B (set_union2(A,B)=set_union2(B,A)).
% 1.81/2.02  all A B (set_intersection2(A,B)=set_intersection2(B,A)).
% 1.81/2.02  all A B (A=B<->subset(A,B)&subset(B,A)).
% 1.81/2.02  all A (A=empty_set<-> (all B (-in(B,A)))).
% 1.81/2.02  all A B C (C=set_union2(A,B)<-> (all D (in(D,C)<->in(D,A)|in(D,B)))).
% 1.81/2.02  all A B (subset(A,B)<-> (all C (in(C,A)->in(C,B)))).
% 1.81/2.02  all A B C (C=set_intersection2(A,B)<-> (all D (in(D,C)<->in(D,A)&in(D,B)))).
% 1.81/2.02  all A B C (C=set_difference(A,B)<-> (all D (in(D,C)<->in(D,A)& -in(D,B)))).
% 1.81/2.02  all A B (disjoint(A,B)<->set_intersection2(A,B)=empty_set).
% 1.81/2.02  $T.
% 1.81/2.02  $T.
% 1.81/2.02  $T.
% 1.81/2.02  $T.
% 1.81/2.02  empty(empty_set).
% 1.81/2.02  all A B (-empty(A)-> -empty(set_union2(A,B))).
% 1.81/2.02  all A B (-empty(A)-> -empty(set_union2(B,A))).
% 1.81/2.02  all A B (set_union2(A,A)=A).
% 1.81/2.02  all A B (set_intersection2(A,A)=A).
% 1.81/2.02  -(all A B (set_difference(A,B)=empty_set<->subset(A,B))).
% 1.81/2.02  exists A empty(A).
% 1.81/2.02  exists A (-empty(A)).
% 1.81/2.02  all A B subset(A,A).
% 1.81/2.02  all A B (disjoint(A,B)->disjoint(B,A)).
% 1.81/2.02  all A B (subset(A,B)->set_union2(A,B)=B).
% 1.81/2.02  all A B subset(set_intersection2(A,B),A).
% 1.81/2.02  all A B C (subset(A,B)&subset(A,C)->subset(A,set_intersection2(B,C))).
% 1.81/2.02  all A (set_union2(A,empty_set)=A).
% 1.81/2.02  all A B C (subset(A,B)&subset(B,C)->subset(A,C)).
% 1.81/2.02  all A B C (subset(A,B)->subset(set_intersection2(A,C),set_intersection2(B,C))).
% 1.81/2.02  all A B (subset(A,B)->set_intersection2(A,B)=A).
% 1.81/2.02  all A (set_intersection2(A,empty_set)=empty_set).
% 1.81/2.02  all A B ((all C (in(C,A)<->in(C,B)))->A=B).
% 1.81/2.02  all A subset(empty_set,A).
% 1.81/2.02  all A (set_difference(A,empty_set)=A).
% 1.81/2.02  all A B (-(-disjoint(A,B)& (all C (-(in(C,A)&in(C,B)))))& -((exists C (in(C,A)&in(C,B)))&disjoint(A,B))).
% 1.81/2.02  all A (subset(A,empty_set)->A=empty_set).
% 1.81/2.02  all A (set_difference(empty_set,A)=empty_set).
% 1.81/2.02  all A B (-(-disjoint(A,B)& (all C (-in(C,set_intersection2(A,B)))))& -((exists C in(C,set_intersection2(A,B)))&disjoint(A,B))).
% 1.81/2.02  all A (empty(A)->A=empty_set).
% 1.81/2.02  all A B (-(in(A,B)&empty(B))).
% 1.81/2.02  all A B subset(A,set_union2(A,B)).
% 1.81/2.02  all A B (-(empty(A)&A!=B&empty(B))).
% 1.81/2.02  all A B C (subset(A,B)&subset(C,B)->subset(set_union2(A,C),B)).
% 1.81/2.02  end_of_list.
% 1.81/2.02  
% 1.81/2.02  -------> usable clausifies to:
% 1.81/2.02  
% 1.81/2.02  list(usable).
% 1.81/2.02  0 [] A=A.
% 1.81/2.02  0 [] -in(A,B)| -in(B,A).
% 1.81/2.02  0 [] set_union2(A,B)=set_union2(B,A).
% 1.81/2.02  0 [] set_intersection2(A,B)=set_intersection2(B,A).
% 1.81/2.02  0 [] A!=B|subset(A,B).
% 1.81/2.02  0 [] A!=B|subset(B,A).
% 1.81/2.02  0 [] A=B| -subset(A,B)| -subset(B,A).
% 1.81/2.02  0 [] A!=empty_set| -in(B,A).
% 1.81/2.02  0 [] A=empty_set|in($f1(A),A).
% 1.81/2.02  0 [] C!=set_union2(A,B)| -in(D,C)|in(D,A)|in(D,B).
% 1.81/2.02  0 [] C!=set_union2(A,B)|in(D,C)| -in(D,A).
% 1.81/2.02  0 [] C!=set_union2(A,B)|in(D,C)| -in(D,B).
% 1.81/2.02  0 [] C=set_union2(A,B)|in($f2(A,B,C),C)|in($f2(A,B,C),A)|in($f2(A,B,C),B).
% 1.81/2.02  0 [] C=set_union2(A,B)| -in($f2(A,B,C),C)| -in($f2(A,B,C),A).
% 1.81/2.02  0 [] C=set_union2(A,B)| -in($f2(A,B,C),C)| -in($f2(A,B,C),B).
% 1.81/2.02  0 [] -subset(A,B)| -in(C,A)|in(C,B).
% 1.81/2.02  0 [] subset(A,B)|in($f3(A,B),A).
% 1.81/2.02  0 [] subset(A,B)| -in($f3(A,B),B).
% 1.81/2.02  0 [] C!=set_intersection2(A,B)| -in(D,C)|in(D,A).
% 1.81/2.02  0 [] C!=set_intersection2(A,B)| -in(D,C)|in(D,B).
% 1.81/2.02  0 [] C!=set_intersection2(A,B)|in(D,C)| -in(D,A)| -in(D,B).
% 1.81/2.02  0 [] C=set_intersection2(A,B)|in($f4(A,B,C),C)|in($f4(A,B,C),A).
% 1.81/2.02  0 [] C=set_intersection2(A,B)|in($f4(A,B,C),C)|in($f4(A,B,C),B).
% 1.81/2.02  0 [] C=set_intersection2(A,B)| -in($f4(A,B,C),C)| -in($f4(A,B,C),A)| -in($f4(A,B,C),B).
% 1.81/2.02  0 [] C!=set_difference(A,B)| -in(D,C)|in(D,A).
% 1.81/2.02  0 [] C!=set_difference(A,B)| -in(D,C)| -in(D,B).
% 1.81/2.02  0 [] C!=set_difference(A,B)|in(D,C)| -in(D,A)|in(D,B).
% 1.81/2.02  0 [] C=set_difference(A,B)|in($f5(A,B,C),C)|in($f5(A,B,C),A).
% 1.81/2.02  0 [] C=set_difference(A,B)|in($f5(A,B,C),C)| -in($f5(A,B,C),B).
% 1.81/2.02  0 [] C=set_difference(A,B)| -in($f5(A,B,C),C)| -in($f5(A,B,C),A)|in($f5(A,B,C),B).
% 1.81/2.02  0 [] -disjoint(A,B)|set_intersection2(A,B)=empty_set.
% 1.81/2.02  0 [] disjoint(A,B)|set_intersection2(A,B)!=empty_set.
% 1.81/2.02  0 [] $T.
% 1.81/2.02  0 [] $T.
% 1.81/2.02  0 [] $T.
% 1.81/2.02  0 [] $T.
% 1.81/2.02  0 [] empty(empty_set).
% 1.81/2.02  0 [] empty(A)| -empty(set_union2(A,B)).
% 1.81/2.02  0 [] empty(A)| -empty(set_union2(B,A)).
% 1.81/2.02  0 [] set_union2(A,A)=A.
% 1.81/2.02  0 [] set_intersection2(A,A)=A.
% 1.81/2.02  0 [] set_difference($c2,$c1)=empty_set|subset($c2,$c1).
% 1.81/2.02  0 [] set_difference($c2,$c1)!=empty_set| -subset($c2,$c1).
% 1.81/2.02  0 [] empty($c3).
% 1.81/2.02  0 [] -empty($c4).
% 1.81/2.02  0 [] subset(A,A).
% 1.81/2.02  0 [] -disjoint(A,B)|disjoint(B,A).
% 1.81/2.02  0 [] -subset(A,B)|set_union2(A,B)=B.
% 1.81/2.02  0 [] subset(set_intersection2(A,B),A).
% 1.81/2.02  0 [] -subset(A,B)| -subset(A,C)|subset(A,set_intersection2(B,C)).
% 1.81/2.02  0 [] set_union2(A,empty_set)=A.
% 1.81/2.02  0 [] -subset(A,B)| -subset(B,C)|subset(A,C).
% 1.81/2.02  0 [] -subset(A,B)|subset(set_intersection2(A,C),set_intersection2(B,C)).
% 1.81/2.02  0 [] -subset(A,B)|set_intersection2(A,B)=A.
% 1.81/2.02  0 [] set_intersection2(A,empty_set)=empty_set.
% 1.81/2.02  0 [] in($f6(A,B),A)|in($f6(A,B),B)|A=B.
% 1.81/2.02  0 [] -in($f6(A,B),A)| -in($f6(A,B),B)|A=B.
% 1.81/2.02  0 [] subset(empty_set,A).
% 1.81/2.02  0 [] set_difference(A,empty_set)=A.
% 1.81/2.02  0 [] disjoint(A,B)|in($f7(A,B),A).
% 1.81/2.02  0 [] disjoint(A,B)|in($f7(A,B),B).
% 1.81/2.02  0 [] -in(C,A)| -in(C,B)| -disjoint(A,B).
% 1.81/2.02  0 [] -subset(A,empty_set)|A=empty_set.
% 1.81/2.02  0 [] set_difference(empty_set,A)=empty_set.
% 1.81/2.02  0 [] disjoint(A,B)|in($f8(A,B),set_intersection2(A,B)).
% 1.81/2.02  0 [] -in(C,set_intersection2(A,B))| -disjoint(A,B).
% 1.81/2.02  0 [] -empty(A)|A=empty_set.
% 1.81/2.02  0 [] -in(A,B)| -empty(B).
% 1.81/2.02  0 [] subset(A,set_union2(A,B)).
% 1.81/2.02  0 [] -empty(A)|A=B| -empty(B).
% 1.81/2.02  0 [] -subset(A,B)| -subset(C,B)|subset(set_union2(A,C),B).
% 1.81/2.02  end_of_list.
% 1.81/2.02  
% 1.81/2.02  SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=4.
% 1.81/2.02  
% 1.81/2.02  This ia a non-Horn set with equality.  The strategy will be
% 1.81/2.02  Knuth-Bendix, ordered hyper_res, factoring, and unit
% 1.81/2.02  deletion, with positive clauses in sos and nonpositive
% 1.81/2.02  clauses in usable.
% 1.81/2.02  
% 1.81/2.02     dependent: set(knuth_bendix).
% 1.81/2.02     dependent: set(anl_eq).
% 1.81/2.02     dependent: set(para_from).
% 1.81/2.02     dependent: set(para_into).
% 1.81/2.02     dependent: clear(para_from_right).
% 1.81/2.02     dependent: clear(para_into_right).
% 1.81/2.02     dependent: set(para_from_vars).
% 1.81/2.02     dependent: set(eq_units_both_ways).
% 1.81/2.02     dependent: set(dynamic_demod_all).
% 1.81/2.02     dependent: set(dynamic_demod).
% 1.81/2.02     dependent: set(order_eq).
% 1.81/2.02     dependent: set(back_demod).
% 1.81/2.02     dependent: set(lrpo).
% 1.81/2.02     dependent: set(hyper_res).
% 1.81/2.02     dependent: set(unit_deletion).
% 1.81/2.02     dependent: set(factor).
% 1.81/2.02  
% 1.81/2.02  ------------> process usable:
% 1.81/2.02  ** KEPT (pick-wt=6): 1 [] -in(A,B)| -in(B,A).
% 1.81/2.02  ** KEPT (pick-wt=6): 2 [] A!=B|subset(A,B).
% 1.81/2.02  ** KEPT (pick-wt=6): 3 [] A!=B|subset(B,A).
% 1.81/2.02  ** KEPT (pick-wt=9): 4 [] A=B| -subset(A,B)| -subset(B,A).
% 1.81/2.02  ** KEPT (pick-wt=6): 5 [] A!=empty_set| -in(B,A).
% 1.81/2.02  ** KEPT (pick-wt=14): 6 [] A!=set_union2(B,C)| -in(D,A)|in(D,B)|in(D,C).
% 1.81/2.02  ** KEPT (pick-wt=11): 7 [] A!=set_union2(B,C)|in(D,A)| -in(D,B).
% 1.81/2.02  ** KEPT (pick-wt=11): 8 [] A!=set_union2(B,C)|in(D,A)| -in(D,C).
% 1.81/2.02  ** KEPT (pick-wt=17): 9 [] A=set_union2(B,C)| -in($f2(B,C,A),A)| -in($f2(B,C,A),B).
% 1.81/2.02  ** KEPT (pick-wt=17): 10 [] A=set_union2(B,C)| -in($f2(B,C,A),A)| -in($f2(B,C,A),C).
% 1.81/2.02  ** KEPT (pick-wt=9): 11 [] -subset(A,B)| -in(C,A)|in(C,B).
% 1.81/2.02  ** KEPT (pick-wt=8): 12 [] subset(A,B)| -in($f3(A,B),B).
% 1.81/2.02  ** KEPT (pick-wt=11): 13 [] A!=set_intersection2(B,C)| -in(D,A)|in(D,B).
% 1.81/2.02  ** KEPT (pick-wt=11): 14 [] A!=set_intersection2(B,C)| -in(D,A)|in(D,C).
% 1.81/2.02  ** KEPT (pick-wt=14): 15 [] A!=set_intersection2(B,C)|in(D,A)| -in(D,B)| -in(D,C).
% 1.81/2.02  ** KEPT (pick-wt=23): 16 [] A=set_intersection2(B,C)| -in($f4(B,C,A),A)| -in($f4(B,C,A),B)| -in($f4(B,C,A),C).
% 1.81/2.02  ** KEPT (pick-wt=11): 17 [] A!=set_difference(B,C)| -in(D,A)|in(D,B).
% 1.81/2.02  ** KEPT (pick-wt=11): 18 [] A!=set_difference(B,C)| -in(D,A)| -in(D,C).
% 1.81/2.02  ** KEPT (pick-wt=14): 19 [] A!=set_difference(B,C)|in(D,A)| -in(D,B)|in(D,C).
% 1.81/2.02  ** KEPT (pick-wt=17): 20 [] A=set_difference(B,C)|in($f5(B,C,A),A)| -in($f5(B,C,A),C).
% 1.81/2.02  ** KEPT (pick-wt=23): 21 [] A=set_difference(B,C)| -in($f5(B,C,A),A)| -in($f5(B,C,A),B)|in($f5(B,C,A),C).
% 1.81/2.02  ** KEPT (pick-wt=8): 22 [] -disjoint(A,B)|set_intersection2(A,B)=empty_set.
% 1.81/2.02  ** KEPT (pick-wt=8): 23 [] disjoint(A,B)|set_intersection2(A,B)!=empty_set.
% 1.81/2.02  ** KEPT (pick-wt=6): 24 [] empty(A)| -empty(set_union2(A,B)).
% 1.81/2.02  ** KEPT (pick-wt=6): 25 [] empty(A)| -empty(set_union2(B,A)).
% 2.12/2.30  ** KEPT (pick-wt=8): 26 [] set_difference($c2,$c1)!=empty_set| -subset($c2,$c1).
% 2.12/2.30  ** KEPT (pick-wt=2): 27 [] -empty($c4).
% 2.12/2.30  ** KEPT (pick-wt=6): 28 [] -disjoint(A,B)|disjoint(B,A).
% 2.12/2.30  ** KEPT (pick-wt=8): 29 [] -subset(A,B)|set_union2(A,B)=B.
% 2.12/2.30  ** KEPT (pick-wt=11): 30 [] -subset(A,B)| -subset(A,C)|subset(A,set_intersection2(B,C)).
% 2.12/2.30  ** KEPT (pick-wt=9): 31 [] -subset(A,B)| -subset(B,C)|subset(A,C).
% 2.12/2.30  ** KEPT (pick-wt=10): 32 [] -subset(A,B)|subset(set_intersection2(A,C),set_intersection2(B,C)).
% 2.12/2.30  ** KEPT (pick-wt=8): 33 [] -subset(A,B)|set_intersection2(A,B)=A.
% 2.12/2.30  ** KEPT (pick-wt=13): 34 [] -in($f6(A,B),A)| -in($f6(A,B),B)|A=B.
% 2.12/2.30  ** KEPT (pick-wt=9): 35 [] -in(A,B)| -in(A,C)| -disjoint(B,C).
% 2.12/2.30  ** KEPT (pick-wt=6): 36 [] -subset(A,empty_set)|A=empty_set.
% 2.12/2.30  ** KEPT (pick-wt=8): 37 [] -in(A,set_intersection2(B,C))| -disjoint(B,C).
% 2.12/2.30  ** KEPT (pick-wt=5): 38 [] -empty(A)|A=empty_set.
% 2.12/2.30  ** KEPT (pick-wt=5): 39 [] -in(A,B)| -empty(B).
% 2.12/2.30  ** KEPT (pick-wt=7): 40 [] -empty(A)|A=B| -empty(B).
% 2.12/2.30  ** KEPT (pick-wt=11): 41 [] -subset(A,B)| -subset(C,B)|subset(set_union2(A,C),B).
% 2.12/2.30  
% 2.12/2.30  ------------> process sos:
% 2.12/2.30  ** KEPT (pick-wt=3): 60 [] A=A.
% 2.12/2.30  ** KEPT (pick-wt=7): 61 [] set_union2(A,B)=set_union2(B,A).
% 2.12/2.30  ** KEPT (pick-wt=7): 62 [] set_intersection2(A,B)=set_intersection2(B,A).
% 2.12/2.30  ** KEPT (pick-wt=7): 63 [] A=empty_set|in($f1(A),A).
% 2.12/2.30  ** KEPT (pick-wt=23): 64 [] A=set_union2(B,C)|in($f2(B,C,A),A)|in($f2(B,C,A),B)|in($f2(B,C,A),C).
% 2.12/2.30  ** KEPT (pick-wt=8): 65 [] subset(A,B)|in($f3(A,B),A).
% 2.12/2.30  ** KEPT (pick-wt=17): 66 [] A=set_intersection2(B,C)|in($f4(B,C,A),A)|in($f4(B,C,A),B).
% 2.12/2.30  ** KEPT (pick-wt=17): 67 [] A=set_intersection2(B,C)|in($f4(B,C,A),A)|in($f4(B,C,A),C).
% 2.12/2.30  ** KEPT (pick-wt=17): 68 [] A=set_difference(B,C)|in($f5(B,C,A),A)|in($f5(B,C,A),B).
% 2.12/2.30  ** KEPT (pick-wt=2): 69 [] empty(empty_set).
% 2.12/2.30  ** KEPT (pick-wt=5): 70 [] set_union2(A,A)=A.
% 2.12/2.30  ---> New Demodulator: 71 [new_demod,70] set_union2(A,A)=A.
% 2.12/2.30  ** KEPT (pick-wt=5): 72 [] set_intersection2(A,A)=A.
% 2.12/2.30  ---> New Demodulator: 73 [new_demod,72] set_intersection2(A,A)=A.
% 2.12/2.30  ** KEPT (pick-wt=8): 74 [] set_difference($c2,$c1)=empty_set|subset($c2,$c1).
% 2.12/2.30  ** KEPT (pick-wt=2): 75 [] empty($c3).
% 2.12/2.30  ** KEPT (pick-wt=3): 76 [] subset(A,A).
% 2.12/2.30  ** KEPT (pick-wt=5): 77 [] subset(set_intersection2(A,B),A).
% 2.12/2.30  ** KEPT (pick-wt=5): 78 [] set_union2(A,empty_set)=A.
% 2.12/2.30  ---> New Demodulator: 79 [new_demod,78] set_union2(A,empty_set)=A.
% 2.12/2.30  ** KEPT (pick-wt=5): 80 [] set_intersection2(A,empty_set)=empty_set.
% 2.12/2.30  ---> New Demodulator: 81 [new_demod,80] set_intersection2(A,empty_set)=empty_set.
% 2.12/2.30  ** KEPT (pick-wt=13): 82 [] in($f6(A,B),A)|in($f6(A,B),B)|A=B.
% 2.12/2.30  ** KEPT (pick-wt=3): 83 [] subset(empty_set,A).
% 2.12/2.30  ** KEPT (pick-wt=5): 84 [] set_difference(A,empty_set)=A.
% 2.12/2.30  ---> New Demodulator: 85 [new_demod,84] set_difference(A,empty_set)=A.
% 2.12/2.30  ** KEPT (pick-wt=8): 86 [] disjoint(A,B)|in($f7(A,B),A).
% 2.12/2.30  ** KEPT (pick-wt=8): 87 [] disjoint(A,B)|in($f7(A,B),B).
% 2.12/2.30  ** KEPT (pick-wt=5): 88 [] set_difference(empty_set,A)=empty_set.
% 2.12/2.30  ---> New Demodulator: 89 [new_demod,88] set_difference(empty_set,A)=empty_set.
% 2.12/2.30  ** KEPT (pick-wt=10): 90 [] disjoint(A,B)|in($f8(A,B),set_intersection2(A,B)).
% 2.12/2.30  ** KEPT (pick-wt=5): 91 [] subset(A,set_union2(A,B)).
% 2.12/2.30    Following clause subsumed by 60 during input processing: 0 [copy,60,flip.1] A=A.
% 2.12/2.30  60 back subsumes 57.
% 2.12/2.30  60 back subsumes 55.
% 2.12/2.30  60 back subsumes 43.
% 2.12/2.30    Following clause subsumed by 61 during input processing: 0 [copy,61,flip.1] set_union2(A,B)=set_union2(B,A).
% 2.12/2.30    Following clause subsumed by 62 during input processing: 0 [copy,62,flip.1] set_intersection2(A,B)=set_intersection2(B,A).
% 2.12/2.30  >>>> Starting back demodulation with 71.
% 2.12/2.30      >> back demodulating 58 with 71.
% 2.12/2.30      >> back demodulating 44 with 71.
% 2.12/2.30  >>>> Starting back demodulation with 73.
% 2.12/2.30      >> back demodulating 59 with 73.
% 2.12/2.30      >> back demodulating 54 with 73.
% 2.12/2.30      >> back demodulating 50 with 73.
% 2.12/2.30      >> back demodulating 47 with 73.
% 2.12/2.30  >>>> Starting back demodulation with 79.
% 2.12/2.30  >>>> Starting back demodulation with 81.
% 2.12/2.30  >>>> Starting back demodulation with 85.
% 2.12/2.30  >>>> Starting back demodulation with 89.
% 2.12/2.30  
% 2.12/2.30  ======= end of input processing =======
% 2.12/2.30  
% 2.12/2.30  =========== start of search ===========
% 2.12/2.30  
% 2.12/2.30  
% 2.12/2.30  Resetting weight limit to 8.
% 2.12/2.30  
% 299.85/300.04  Alarm clock 
% 299.85/300.04  Otter interrupted
% 299.85/300.04  PROOF NOT FOUND
%------------------------------------------------------------------------------