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Otter---3.3.UNS-Ref.s

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%------------------------------------------------------------------------------
% File     : Otter---3.3
% Problem  : GRP147-1 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm  : none
% Format   : tptp:raw
% Command  : otter-tptp-script %s

% Computer : n014.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 12:56:33 EDT 2022

% Result   : Unsatisfiable 1.93s 2.16s
% Output   : Refutation 1.93s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :   13
% Syntax   : Number of clauses     :   39 (  39 unt;   0 nHn;  16 RR)
%            Number of literals    :   39 (  38 equ;   3 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   4 con; 0-2 aty)
%            Number of variables   :   41 (   3 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(1,axiom,
    greatest_lower_bound(least_upper_bound(a,b),c) != least_upper_bound(a,b),
    file('GRP147-1.p',unknown),
    [] ).

cnf(4,axiom,
    multiply(identity,A) = A,
    file('GRP147-1.p',unknown),
    [] ).

cnf(6,axiom,
    multiply(inverse(A),A) = identity,
    file('GRP147-1.p',unknown),
    [] ).

cnf(8,axiom,
    multiply(multiply(A,B),C) = multiply(A,multiply(B,C)),
    file('GRP147-1.p',unknown),
    [] ).

cnf(9,axiom,
    greatest_lower_bound(A,B) = greatest_lower_bound(B,A),
    file('GRP147-1.p',unknown),
    [] ).

cnf(10,axiom,
    least_upper_bound(A,B) = least_upper_bound(B,A),
    file('GRP147-1.p',unknown),
    [] ).

cnf(14,axiom,
    least_upper_bound(A,least_upper_bound(B,C)) = least_upper_bound(least_upper_bound(A,B),C),
    file('GRP147-1.p',unknown),
    [] ).

cnf(15,plain,
    least_upper_bound(least_upper_bound(A,B),C) = least_upper_bound(A,least_upper_bound(B,C)),
    inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[14])]),
    [iquote('copy,14,flip.1')] ).

cnf(21,axiom,
    least_upper_bound(A,greatest_lower_bound(A,B)) = A,
    file('GRP147-1.p',unknown),
    [] ).

cnf(23,axiom,
    greatest_lower_bound(A,least_upper_bound(A,B)) = A,
    file('GRP147-1.p',unknown),
    [] ).

cnf(25,axiom,
    multiply(A,least_upper_bound(B,C)) = least_upper_bound(multiply(A,B),multiply(A,C)),
    file('GRP147-1.p',unknown),
    [] ).

cnf(29,axiom,
    multiply(least_upper_bound(A,B),C) = least_upper_bound(multiply(A,C),multiply(B,C)),
    file('GRP147-1.p',unknown),
    [] ).

cnf(33,axiom,
    greatest_lower_bound(a,c) = a,
    file('GRP147-1.p',unknown),
    [] ).

cnf(35,axiom,
    greatest_lower_bound(b,c) = b,
    file('GRP147-1.p',unknown),
    [] ).

cnf(37,plain,
    greatest_lower_bound(c,b) = b,
    inference(flip,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[9,35])]),
    [iquote('para_into,9.1.1,35.1.1,flip.1')] ).

cnf(39,plain,
    greatest_lower_bound(c,a) = a,
    inference(flip,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[9,33])]),
    [iquote('para_into,9.1.1,33.1.1,flip.1')] ).

cnf(42,plain,
    multiply(inverse(A),multiply(A,B)) = B,
    inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[8,6]),4])]),
    [iquote('para_into,7.1.1.1,5.1.1,demod,4,flip.1')] ).

cnf(44,plain,
    greatest_lower_bound(least_upper_bound(b,a),c) != least_upper_bound(a,b),
    inference(para_from,[status(thm),theory(equality)],[10,1]),
    [iquote('para_from,10.1.1,1.1.1.1')] ).

cnf(45,plain,
    least_upper_bound(c,a) = c,
    inference(para_into,[status(thm),theory(equality)],[21,39]),
    [iquote('para_into,21.1.1.2,39.1.1')] ).

cnf(47,plain,
    least_upper_bound(c,b) = c,
    inference(para_into,[status(thm),theory(equality)],[21,37]),
    [iquote('para_into,21.1.1.2,37.1.1')] ).

cnf(53,plain,
    least_upper_bound(a,c) = c,
    inference(para_into,[status(thm),theory(equality)],[45,10]),
    [iquote('para_into,45.1.1,10.1.1')] ).

cnf(74,plain,
    greatest_lower_bound(A,least_upper_bound(B,A)) = A,
    inference(para_into,[status(thm),theory(equality)],[23,10]),
    [iquote('para_into,23.1.1.2,10.1.1')] ).

cnf(94,plain,
    least_upper_bound(c,least_upper_bound(b,A)) = least_upper_bound(c,A),
    inference(flip,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[15,47])]),
    [iquote('para_into,15.1.1.1,47.1.1,flip.1')] ).

cnf(135,plain,
    least_upper_bound(multiply(A,a),multiply(A,c)) = multiply(A,c),
    inference(flip,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[25,53])]),
    [iquote('para_into,25.1.1.2,53.1.1,flip.1')] ).

cnf(141,plain,
    least_upper_bound(multiply(inverse(least_upper_bound(A,B)),A),multiply(inverse(least_upper_bound(A,B)),B)) = identity,
    inference(flip,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[25,6])]),
    [iquote('para_into,25.1.1,5.1.1,flip.1')] ).

cnf(148,plain,
    multiply(inverse(inverse(A)),B) = multiply(A,B),
    inference(para_into,[status(thm),theory(equality)],[42,42]),
    [iquote('para_into,42.1.1.2,42.1.1')] ).

cnf(152,plain,
    multiply(A,identity) = A,
    inference(demod,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[42,6]),148]),
    [iquote('para_into,42.1.1.2,5.1.1,demod,148')] ).

cnf(473,plain,
    greatest_lower_bound(least_upper_bound(b,A),least_upper_bound(c,A)) = least_upper_bound(b,A),
    inference(para_from,[status(thm),theory(equality)],[94,74]),
    [iquote('para_from,94.1.1,74.1.1.2')] ).

cnf(567,plain,
    inverse(inverse(A)) = A,
    inference(demod,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[148,152]),152]),
    [iquote('para_into,147.1.1,151.1.1,demod,152')] ).

cnf(571,plain,
    multiply(A,inverse(A)) = identity,
    inference(flip,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[148,6])]),
    [iquote('para_into,147.1.1,5.1.1,flip.1')] ).

cnf(1253,plain,
    least_upper_bound(multiply(inverse(c),a),identity) = identity,
    inference(demod,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[135,6]),6]),
    [iquote('para_into,135.1.1.2,5.1.1,demod,6')] ).

cnf(1261,plain,
    least_upper_bound(multiply(inverse(c),multiply(a,A)),A) = A,
    inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para_from,[status(thm),theory(equality)],[1253,29]),4,8,4])]),
    [iquote('para_from,1253.1.1,29.1.1.1,demod,4,8,4,flip.1')] ).

cnf(1315,plain,
    least_upper_bound(inverse(c),inverse(a)) = inverse(a),
    inference(demod,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[1261,571]),152]),
    [iquote('para_into,1261.1.1.1.2,570.1.1,demod,152')] ).

cnf(1322,plain,
    least_upper_bound(inverse(a),inverse(c)) = inverse(a),
    inference(para_into,[status(thm),theory(equality)],[1315,10]),
    [iquote('para_into,1315.1.1,10.1.1')] ).

cnf(1337,plain,
    least_upper_bound(identity,multiply(a,inverse(c))) = identity,
    inference(demod,[status(thm),theory(equality)],[inference(para_from,[status(thm),theory(equality)],[1322,141]),1322,567,571,567]),
    [iquote('para_from,1321.1.1,141.1.1.2.1.1,demod,1322,567,571,567')] ).

cnf(1357,plain,
    least_upper_bound(A,multiply(a,multiply(inverse(c),A))) = A,
    inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para_from,[status(thm),theory(equality)],[1337,29]),4,4,8])]),
    [iquote('para_from,1337.1.1,29.1.1.1,demod,4,4,8,flip.1')] ).

cnf(1728,plain,
    greatest_lower_bound(least_upper_bound(b,a),c) = least_upper_bound(b,a),
    inference(demod,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[473,1357]),6,152,6,152]),
    [iquote('para_into,473.1.1.2,1357.1.1,demod,6,152,6,152')] ).

cnf(1729,plain,
    least_upper_bound(b,a) != least_upper_bound(a,b),
    inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[44]),1728]),
    [iquote('back_demod,44,demod,1728')] ).

cnf(1730,plain,
    $false,
    inference(binary,[status(thm)],[1729,10]),
    [iquote('binary,1729.1,10.1')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12  % Problem  : GRP147-1 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.08/0.12  % Command  : otter-tptp-script %s
% 0.12/0.33  % Computer : n014.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 05:11:09 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 1.73/1.93  ----- Otter 3.3f, August 2004 -----
% 1.73/1.93  The process was started by sandbox on n014.cluster.edu,
% 1.73/1.93  Wed Jul 27 05:11:09 2022
% 1.73/1.93  The command was "./otter".  The process ID is 19453.
% 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 [] multiply(identity,X)=X.
% 1.73/1.93  0 [] multiply(inverse(X),X)=identity.
% 1.73/1.93  0 [] multiply(multiply(X,Y),Z)=multiply(X,multiply(Y,Z)).
% 1.73/1.93  0 [] greatest_lower_bound(X,Y)=greatest_lower_bound(Y,X).
% 1.73/1.93  0 [] least_upper_bound(X,Y)=least_upper_bound(Y,X).
% 1.73/1.93  0 [] greatest_lower_bound(X,greatest_lower_bound(Y,Z))=greatest_lower_bound(greatest_lower_bound(X,Y),Z).
% 1.73/1.93  0 [] least_upper_bound(X,least_upper_bound(Y,Z))=least_upper_bound(least_upper_bound(X,Y),Z).
% 1.73/1.93  0 [] least_upper_bound(X,X)=X.
% 1.73/1.93  0 [] greatest_lower_bound(X,X)=X.
% 1.73/1.93  0 [] least_upper_bound(X,greatest_lower_bound(X,Y))=X.
% 1.73/1.93  0 [] greatest_lower_bound(X,least_upper_bound(X,Y))=X.
% 1.73/1.93  0 [] multiply(X,least_upper_bound(Y,Z))=least_upper_bound(multiply(X,Y),multiply(X,Z)).
% 1.73/1.93  0 [] multiply(X,greatest_lower_bound(Y,Z))=greatest_lower_bound(multiply(X,Y),multiply(X,Z)).
% 1.73/1.93  0 [] multiply(least_upper_bound(Y,Z),X)=least_upper_bound(multiply(Y,X),multiply(Z,X)).
% 1.73/1.93  0 [] multiply(greatest_lower_bound(Y,Z),X)=greatest_lower_bound(multiply(Y,X),multiply(Z,X)).
% 1.73/1.93  0 [] greatest_lower_bound(a,c)=a.
% 1.73/1.93  0 [] greatest_lower_bound(b,c)=b.
% 1.73/1.93  0 [] greatest_lower_bound(least_upper_bound(a,b),c)!=least_upper_bound(a,b).
% 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=9): 1 [] greatest_lower_bound(least_upper_bound(a,b),c)!=least_upper_bound(a,b).
% 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=5): 3 [] multiply(identity,A)=A.
% 1.73/1.93  ---> New Demodulator: 4 [new_demod,3] multiply(identity,A)=A.
% 1.73/1.93  ** KEPT (pick-wt=6): 5 [] multiply(inverse(A),A)=identity.
% 1.73/1.93  ---> New Demodulator: 6 [new_demod,5] multiply(inverse(A),A)=identity.
% 1.73/1.93  ** KEPT (pick-wt=11): 7 [] multiply(multiply(A,B),C)=multiply(A,multiply(B,C)).
% 1.73/1.93  ---> New Demodulator: 8 [new_demod,7] multiply(multiply(A,B),C)=multiply(A,multiply(B,C)).
% 1.73/1.93  ** KEPT (pick-wt=7): 9 [] greatest_lower_bound(A,B)=greatest_lower_bound(B,A).
% 1.73/1.93  ** KEPT (pick-wt=7): 10 [] least_upper_bound(A,B)=least_upper_bound(B,A).
% 1.73/1.93  ** KEPT (pick-wt=11): 12 [copy,11,flip.1] greatest_lower_bound(greatest_lower_bound(A,B),C)=greatest_lower_bound(A,greatest_lower_bound(B,C)).
% 1.73/1.93  ---> New Demodulator: 13 [new_demod,12] greatest_lower_bound(greatest_lower_bound(A,B),C)=greatest_lower_bound(A,greatest_lower_bound(B,C)).
% 1.73/1.93  ** KEPT (pick-wt=11): 15 [copy,14,flip.1] least_upper_bound(least_upper_bound(A,B),C)=least_upper_bound(A,least_upper_bound(B,C)).
% 1.73/1.93  ---> New Demodulator: 16 [new_demod,15] least_upper_bound(least_upper_bound(A,B),C)=least_upper_bound(A,least_upper_bound(B,C)).
% 1.73/1.93  ** KEPT (pick-wt=5): 17 [] least_upper_bound(A,A)=A.
% 1.73/1.93  ---> New Demodulator: 18 [new_demod,17] least_upper_bound(A,A)=A.
% 1.73/1.93  ** KEPT (pick-wt=5): 19 [] greatest_lower_bound(A,A)=A.
% 1.73/1.93  ---> New Demodulator: 20 [new_demod,19] greatest_lower_bound(A,A)=A.
% 1.73/1.93  ** KEPT (pick-wt=7): 21 [] least_upper_bound(A,greatest_lower_bound(A,B))=A.
% 1.73/1.93  ---> New Demodulator: 22 [new_demod,21] least_upper_bound(A,greatest_lower_bound(A,B))=A.
% 1.93/2.15  ** KEPT (pick-wt=7): 23 [] greatest_lower_bound(A,least_upper_bound(A,B))=A.
% 1.93/2.15  ---> New Demodulator: 24 [new_demod,23] greatest_lower_bound(A,least_upper_bound(A,B))=A.
% 1.93/2.15  ** KEPT (pick-wt=13): 25 [] multiply(A,least_upper_bound(B,C))=least_upper_bound(multiply(A,B),multiply(A,C)).
% 1.93/2.15  ---> New Demodulator: 26 [new_demod,25] multiply(A,least_upper_bound(B,C))=least_upper_bound(multiply(A,B),multiply(A,C)).
% 1.93/2.15  ** KEPT (pick-wt=13): 27 [] multiply(A,greatest_lower_bound(B,C))=greatest_lower_bound(multiply(A,B),multiply(A,C)).
% 1.93/2.15  ---> New Demodulator: 28 [new_demod,27] multiply(A,greatest_lower_bound(B,C))=greatest_lower_bound(multiply(A,B),multiply(A,C)).
% 1.93/2.15  ** KEPT (pick-wt=13): 29 [] multiply(least_upper_bound(A,B),C)=least_upper_bound(multiply(A,C),multiply(B,C)).
% 1.93/2.15  ---> New Demodulator: 30 [new_demod,29] multiply(least_upper_bound(A,B),C)=least_upper_bound(multiply(A,C),multiply(B,C)).
% 1.93/2.15  ** KEPT (pick-wt=13): 31 [] multiply(greatest_lower_bound(A,B),C)=greatest_lower_bound(multiply(A,C),multiply(B,C)).
% 1.93/2.15  ---> New Demodulator: 32 [new_demod,31] multiply(greatest_lower_bound(A,B),C)=greatest_lower_bound(multiply(A,C),multiply(B,C)).
% 1.93/2.15  ** KEPT (pick-wt=5): 33 [] greatest_lower_bound(a,c)=a.
% 1.93/2.15  ---> New Demodulator: 34 [new_demod,33] greatest_lower_bound(a,c)=a.
% 1.93/2.15  ** KEPT (pick-wt=5): 35 [] greatest_lower_bound(b,c)=b.
% 1.93/2.15  ---> New Demodulator: 36 [new_demod,35] greatest_lower_bound(b,c)=b.
% 1.93/2.15    Following clause subsumed by 2 during input processing: 0 [copy,2,flip.1] A=A.
% 1.93/2.15  >>>> Starting back demodulation with 4.
% 1.93/2.15  >>>> Starting back demodulation with 6.
% 1.93/2.15  >>>> Starting back demodulation with 8.
% 1.93/2.15    Following clause subsumed by 9 during input processing: 0 [copy,9,flip.1] greatest_lower_bound(A,B)=greatest_lower_bound(B,A).
% 1.93/2.15    Following clause subsumed by 10 during input processing: 0 [copy,10,flip.1] least_upper_bound(A,B)=least_upper_bound(B,A).
% 1.93/2.15  >>>> Starting back demodulation with 13.
% 1.93/2.15  >>>> Starting back demodulation with 16.
% 1.93/2.15  >>>> Starting back demodulation with 18.
% 1.93/2.15  >>>> Starting back demodulation with 20.
% 1.93/2.15  >>>> Starting back demodulation with 22.
% 1.93/2.15  >>>> Starting back demodulation with 24.
% 1.93/2.16  >>>> Starting back demodulation with 26.
% 1.93/2.16  >>>> Starting back demodulation with 28.
% 1.93/2.16  >>>> Starting back demodulation with 30.
% 1.93/2.16  >>>> Starting back demodulation with 32.
% 1.93/2.16  >>>> Starting back demodulation with 34.
% 1.93/2.16  >>>> Starting back demodulation with 36.
% 1.93/2.16  
% 1.93/2.16  ======= end of input processing =======
% 1.93/2.16  
% 1.93/2.16  =========== start of search ===========
% 1.93/2.16  
% 1.93/2.16  
% 1.93/2.16  Resetting weight limit to 11.
% 1.93/2.16  
% 1.93/2.16  
% 1.93/2.16  Resetting weight limit to 11.
% 1.93/2.16  
% 1.93/2.16  sos_size=472
% 1.93/2.16  
% 1.93/2.16  
% 1.93/2.16  Resetting weight limit to 10.
% 1.93/2.16  
% 1.93/2.16  
% 1.93/2.16  Resetting weight limit to 10.
% 1.93/2.16  
% 1.93/2.16  sos_size=515
% 1.93/2.16  
% 1.93/2.16  -------- PROOF -------- 
% 1.93/2.16  
% 1.93/2.16  ----> UNIT CONFLICT at   0.23 sec ----> 1730 [binary,1729.1,10.1] $F.
% 1.93/2.16  
% 1.93/2.16  Length of proof is 25.  Level of proof is 12.
% 1.93/2.16  
% 1.93/2.16  ---------------- PROOF ----------------
% 1.93/2.16  % SZS status Unsatisfiable
% 1.93/2.16  % SZS output start Refutation
% See solution above
% 1.93/2.16  ------------ end of proof -------------
% 1.93/2.16  
% 1.93/2.16  
% 1.93/2.16  Search stopped by max_proofs option.
% 1.93/2.16  
% 1.93/2.16  
% 1.93/2.16  Search stopped by max_proofs option.
% 1.93/2.16  
% 1.93/2.16  ============ end of search ============
% 1.93/2.16  
% 1.93/2.16  -------------- statistics -------------
% 1.93/2.16  clauses given                475
% 1.93/2.16  clauses generated          40267
% 1.93/2.16  clauses kept                 888
% 1.93/2.16  clauses forward subsumed   28811
% 1.93/2.16  clauses back subsumed          8
% 1.93/2.16  Kbytes malloced             7812
% 1.93/2.16  
% 1.93/2.16  ----------- times (seconds) -----------
% 1.93/2.16  user CPU time          0.23          (0 hr, 0 min, 0 sec)
% 1.93/2.16  system CPU time        0.00          (0 hr, 0 min, 0 sec)
% 1.93/2.16  wall-clock time        2             (0 hr, 0 min, 2 sec)
% 1.93/2.16  
% 1.93/2.16  That finishes the proof of the theorem.
% 1.93/2.16  
% 1.93/2.16  Process 19453 finished Wed Jul 27 05:11:11 2022
% 1.93/2.16  Otter interrupted
% 1.93/2.16  PROOF FOUND
%------------------------------------------------------------------------------