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EQP---0.9e.UNS-Ref.s

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%------------------------------------------------------------------------------
% File     : EQP---0.9e
% Problem  : BOO016-2 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : tptp2X_and_run_eqp %s

% Computer : n020.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  : 600s
% DateTime : Thu Jul 14 23:37:08 EDT 2022

% Result   : Unsatisfiable 0.82s 1.20s
% Output   : Refutation 0.82s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :   13
% Syntax   : Number of clauses     :   46 (  46 unt;   0 nHn;  16 RR)
%            Number of literals    :   46 (   0 equ;   1 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   5 con; 0-2 aty)
%            Number of variables   :   56 (   2 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(1,plain,
    equal(add(A,B),add(B,A)),
    file('BOO016-2.p',unknown),
    [] ).

cnf(2,plain,
    equal(multiply(A,B),multiply(B,A)),
    file('BOO016-2.p',unknown),
    [] ).

cnf(4,plain,
    equal(multiply(add(A,B),add(A,C)),add(A,multiply(B,C))),
    inference(flip,[status(thm),theory(equality)],[1]),
    [iquote('flip(1)')] ).

cnf(5,plain,
    equal(multiply(add(A,B),C),add(multiply(A,C),multiply(B,C))),
    file('BOO016-2.p',unknown),
    [] ).

cnf(6,plain,
    equal(add(multiply(A,add(A,B)),multiply(C,add(A,B))),add(A,multiply(C,B))),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[4]),5]),
    [iquote('back_demod(4),demod([5])')] ).

cnf(8,plain,
    equal(multiply(A,add(B,C)),add(multiply(A,B),multiply(A,C))),
    file('BOO016-2.p',unknown),
    [] ).

cnf(10,plain,
    equal(add(add(multiply(A,A),multiply(A,B)),add(multiply(C,A),multiply(C,B))),add(A,multiply(C,B))),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[6]),8,8]),
    [iquote('back_demod(6),demod([8,8])')] ).

cnf(11,plain,
    equal(add(A,inverse(A)),multiplicative_identity),
    file('BOO016-2.p',unknown),
    [] ).

cnf(13,plain,
    equal(multiply(A,inverse(A)),additive_identity),
    file('BOO016-2.p',unknown),
    [] ).

cnf(14,plain,
    equal(multiply(inverse(A),A),additive_identity),
    file('BOO016-2.p',unknown),
    [] ).

cnf(15,plain,
    equal(multiply(A,multiplicative_identity),A),
    file('BOO016-2.p',unknown),
    [] ).

cnf(16,plain,
    equal(multiply(multiplicative_identity,A),A),
    file('BOO016-2.p',unknown),
    [] ).

cnf(17,plain,
    equal(add(A,additive_identity),A),
    file('BOO016-2.p',unknown),
    [] ).

cnf(18,plain,
    equal(add(additive_identity,A),A),
    file('BOO016-2.p',unknown),
    [] ).

cnf(19,plain,
    equal(multiply(x,y),z),
    file('BOO016-2.p',unknown),
    [] ).

cnf(20,plain,
    ~ equal(add(x,z),x),
    file('BOO016-2.p',unknown),
    [] ).

cnf(24,plain,
    equal(add(add(multiply(A,B),multiply(C,B)),add(multiply(A,D),multiply(C,D))),add(add(multiply(A,B),multiply(A,D)),add(multiply(C,B),multiply(C,D)))),
    inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[8,5]),5,5,8,8]),
    [iquote('para(8,5),demod([5,5,8,8])')] ).

cnf(55,plain,
    equal(multiply(y,x),z),
    inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[19,2]),1]),
    [iquote('para(19,2),flip(1)')] ).

cnf(56,plain,
    equal(add(multiply(A,B),multiply(inverse(A),B)),B),
    inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[11,5]),16]),1]),
    [iquote('para(11,5),demod([16]),flip(1)')] ).

cnf(68,plain,
    equal(add(add(multiply(A,A),multiply(A,inverse(B))),multiply(B,A)),A),
    inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[13,10]),17,13,17]),
    [iquote('para(13,10),demod([17,13,17])')] ).

cnf(77,plain,
    equal(add(add(multiply(A,A),multiply(A,B)),multiply(inverse(A),B)),add(A,multiply(inverse(A),B))),
    inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[14,10]),18]),
    [iquote('para(14,10),demod([18])')] ).

cnf(78,plain,
    equal(add(add(multiply(A,A),multiply(A,B)),multiply(inverse(B),A)),A),
    inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[14,10]),17,14,17]),
    [iquote('para(14,10),demod([17,14,17])')] ).

cnf(164,plain,
    equal(multiply(A,inverse(inverse(A))),inverse(inverse(A))),
    inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[13,56]),17]),
    [iquote('para(13,56),demod([17])')] ).

cnf(167,plain,
    equal(add(add(multiply(A,B),multiply(A,C)),multiply(inverse(B),C)),add(multiply(A,B),add(multiply(A,C),multiply(inverse(B),C)))),
    inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[14,24]),17,14,18]),1]),
    [iquote('para(14,24),demod([17,14,18]),flip(1)')] ).

cnf(168,plain,
    equal(add(A,multiply(inverse(A),B)),add(multiply(A,A),B)),
    inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[77]),167,56]),1]),
    [iquote('back_demod(77),demod([167,56]),flip(1)')] ).

cnf(206,plain,
    equal(multiply(inverse(inverse(A)),A),inverse(inverse(A))),
    inference(para,[status(thm),theory(equality)],[2,164]),
    [iquote('para(2,164)')] ).

cnf(211,plain,
    equal(inverse(inverse(A)),A),
    inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[14,56]),206,18]),
    [iquote('para(14,56),demod([206,18])')] ).

cnf(212,plain,
    equal(multiply(A,A),A),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[206]),211,211]),
    [iquote('back_demod(206),demod([211,211])')] ).

cnf(219,plain,
    equal(add(A,multiply(inverse(A),B)),add(A,B)),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[168]),212]),
    [iquote('back_demod(168),demod([212])')] ).

cnf(232,plain,
    equal(add(add(A,multiply(A,B)),multiply(inverse(B),A)),A),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[78]),212]),
    [iquote('back_demod(78),demod([212])')] ).

cnf(235,plain,
    equal(add(add(A,multiply(A,inverse(B))),multiply(B,A)),A),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[68]),212]),
    [iquote('back_demod(68),demod([212])')] ).

cnf(271,plain,
    equal(add(A,multiplicative_identity),multiplicative_identity),
    inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[15,219]),11]),1]),
    [iquote('para(15,219),demod([11]),flip(1)')] ).

cnf(501,plain,
    equal(add(add(x,z),multiply(inverse(y),x)),x),
    inference(para,[status(thm),theory(equality)],[19,232]),
    [iquote('para(19,232)')] ).

cnf(503,plain,
    equal(add(add(z,x),multiply(inverse(y),x)),x),
    inference(para,[status(thm),theory(equality)],[1,501]),
    [iquote('para(1,501)')] ).

cnf(532,plain,
    equal(add(add(z,x),multiply(x,inverse(y))),x),
    inference(para,[status(thm),theory(equality)],[2,503]),
    [iquote('para(2,503)')] ).

cnf(538,plain,
    equal(add(multiply(x,inverse(y)),add(z,x)),x),
    inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[532,1]),1]),
    [iquote('para(532,1),flip(1)')] ).

cnf(595,plain,
    equal(add(add(x,multiply(x,inverse(y))),z),x),
    inference(para,[status(thm),theory(equality)],[55,235]),
    [iquote('para(55,235)')] ).

cnf(597,plain,
    equal(add(add(multiply(x,inverse(y)),x),z),x),
    inference(para,[status(thm),theory(equality)],[1,595]),
    [iquote('para(1,595)')] ).

cnf(603,plain,
    equal(add(add(x,multiply(inverse(y),x)),z),x),
    inference(para,[status(thm),theory(equality)],[2,595]),
    [iquote('para(2,595)')] ).

cnf(606,plain,
    equal(add(add(multiply(inverse(y),x),x),z),x),
    inference(para,[status(thm),theory(equality)],[1,603]),
    [iquote('para(1,603)')] ).

cnf(643,plain,
    equal(add(z,add(multiply(inverse(y),x),x)),x),
    inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[606,1]),1]),
    [iquote('para(606,1),flip(1)')] ).

cnf(830,plain,
    equal(add(multiply(A,B),B),B),
    inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[271,5]),16,16]),1]),
    [iquote('para(271,5),demod([16,16]),flip(1)')] ).

cnf(840,plain,
    equal(add(z,x),x),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[643]),830]),
    [iquote('back_demod(643),demod([830])')] ).

cnf(845,plain,
    equal(add(multiply(x,inverse(y)),x),x),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[538]),840]),
    [iquote('back_demod(538),demod([840])')] ).

cnf(846,plain,
    equal(add(x,z),x),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[597]),845]),
    [iquote('back_demod(597),demod([845])')] ).

cnf(847,plain,
    $false,
    inference(conflict,[status(thm)],[846,20]),
    [iquote('conflict(846,20)')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : BOO016-2 : TPTP v8.1.0. Released v1.0.0.
% 0.11/0.12  % Command  : tptp2X_and_run_eqp %s
% 0.12/0.33  % Computer : n020.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  : 600
% 0.12/0.33  % DateTime : Wed Jun  1 15:38:53 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.82/1.20  ----- EQP 0.9e, May 2009 -----
% 0.82/1.20  The job began on n020.cluster.edu, Wed Jun  1 15:38:54 2022
% 0.82/1.20  The command was "./eqp09e".
% 0.82/1.20  
% 0.82/1.20  set(prolog_style_variables).
% 0.82/1.20  set(lrpo).
% 0.82/1.20  set(basic_paramod).
% 0.82/1.20  set(functional_subsume).
% 0.82/1.20  set(ordered_paramod).
% 0.82/1.20  set(prime_paramod).
% 0.82/1.20  set(para_pairs).
% 0.82/1.20  assign(pick_given_ratio,4).
% 0.82/1.20  clear(print_kept).
% 0.82/1.20  clear(print_new_demod).
% 0.82/1.20  clear(print_back_demod).
% 0.82/1.20  clear(print_given).
% 0.82/1.20  assign(max_mem,64000).
% 0.82/1.20  end_of_commands.
% 0.82/1.20  
% 0.82/1.20  Usable:
% 0.82/1.20  end_of_list.
% 0.82/1.20  
% 0.82/1.20  Sos:
% 0.82/1.20  0 (wt=-1) [] add(A,B) = add(B,A).
% 0.82/1.20  0 (wt=-1) [] multiply(A,B) = multiply(B,A).
% 0.82/1.20  0 (wt=-1) [] add(multiply(A,B),C) = multiply(add(A,C),add(B,C)).
% 0.82/1.20  0 (wt=-1) [] add(A,multiply(B,C)) = multiply(add(A,B),add(A,C)).
% 0.82/1.20  0 (wt=-1) [] multiply(add(A,B),C) = add(multiply(A,C),multiply(B,C)).
% 0.82/1.20  0 (wt=-1) [] multiply(A,add(B,C)) = add(multiply(A,B),multiply(A,C)).
% 0.82/1.20  0 (wt=-1) [] add(A,inverse(A)) = multiplicative_identity.
% 0.82/1.20  0 (wt=-1) [] add(inverse(A),A) = multiplicative_identity.
% 0.82/1.20  0 (wt=-1) [] multiply(A,inverse(A)) = additive_identity.
% 0.82/1.20  0 (wt=-1) [] multiply(inverse(A),A) = additive_identity.
% 0.82/1.20  0 (wt=-1) [] multiply(A,multiplicative_identity) = A.
% 0.82/1.20  0 (wt=-1) [] multiply(multiplicative_identity,A) = A.
% 0.82/1.20  0 (wt=-1) [] add(A,additive_identity) = A.
% 0.82/1.20  0 (wt=-1) [] add(additive_identity,A) = A.
% 0.82/1.20  0 (wt=-1) [] multiply(x,y) = z.
% 0.82/1.20  0 (wt=-1) [] -(add(x,z) = x).
% 0.82/1.20  end_of_list.
% 0.82/1.20  
% 0.82/1.20  Demodulators:
% 0.82/1.20  end_of_list.
% 0.82/1.20  
% 0.82/1.20  Passive:
% 0.82/1.20  end_of_list.
% 0.82/1.20  
% 0.82/1.20  Starting to process input.
% 0.82/1.20  
% 0.82/1.20  ** KEPT: 1 (wt=7) [] add(A,B) = add(B,A).
% 0.82/1.20  clause forward subsumed: 0 (wt=7) [flip(1)] add(B,A) = add(A,B).
% 0.82/1.20  
% 0.82/1.20  ** KEPT: 2 (wt=7) [] multiply(A,B) = multiply(B,A).
% 0.82/1.20  clause forward subsumed: 0 (wt=7) [flip(2)] multiply(B,A) = multiply(A,B).
% 0.82/1.20  
% 0.82/1.20  ** KEPT: 3 (wt=13) [flip(1)] multiply(add(A,B),add(C,B)) = add(multiply(A,C),B).
% 0.82/1.20  3 is a new demodulator.
% 0.82/1.20  
% 0.82/1.20  ** KEPT: 4 (wt=13) [flip(1)] multiply(add(A,B),add(A,C)) = add(A,multiply(B,C)).
% 0.82/1.20  4 is a new demodulator.
% 0.82/1.20  
% 0.82/1.20  ** KEPT: 5 (wt=13) [] multiply(add(A,B),C) = add(multiply(A,C),multiply(B,C)).
% 0.82/1.20  5 is a new demodulator.
% 0.82/1.20      -> 5 back demodulating 4.
% 0.82/1.20  
% 0.82/1.20  ** KEPT: 6 (wt=17) [back_demod(4),demod([5])] add(multiply(A,add(A,B)),multiply(C,add(A,B))) = add(A,multiply(C,B)).
% 0.82/1.20  6 is a new demodulator.
% 0.82/1.20      -> 5 back demodulating 3.
% 0.82/1.20  
% 0.82/1.20  ** KEPT: 7 (wt=17) [back_demod(3),demod([5])] add(multiply(A,add(B,C)),multiply(C,add(B,C))) = add(multiply(A,B),C).
% 0.82/1.20  7 is a new demodulator.
% 0.82/1.20  
% 0.82/1.20  ** KEPT: 8 (wt=13) [] multiply(A,add(B,C)) = add(multiply(A,B),multiply(A,C)).
% 0.82/1.20  8 is a new demodulator.
% 0.82/1.20      -> 8 back demodulating 7.
% 0.82/1.20  
% 0.82/1.20  ** KEPT: 9 (wt=21) [back_demod(7),demod([8,8])] add(add(multiply(A,B),multiply(A,C)),add(multiply(C,B),multiply(C,C))) = add(multiply(A,B),C).
% 0.82/1.20  9 is a new demodulator.
% 0.82/1.20      -> 8 back demodulating 6.
% 0.82/1.20  
% 0.82/1.20  ** KEPT: 10 (wt=21) [back_demod(6),demod([8,8])] add(add(multiply(A,A),multiply(A,B)),add(multiply(C,A),multiply(C,B))) = add(A,multiply(C,B)).
% 0.82/1.20  10 is a new demodulator.
% 0.82/1.20  
% 0.82/1.20  ** KEPT: 11 (wt=6) [] add(A,inverse(A)) = multiplicative_identity.
% 0.82/1.20  11 is a new demodulator.
% 0.82/1.20  
% 0.82/1.20  ** KEPT: 12 (wt=6) [] add(inverse(A),A) = multiplicative_identity.
% 0.82/1.20  12 is a new demodulator.
% 0.82/1.20  
% 0.82/1.20  ** KEPT: 13 (wt=6) [] multiply(A,inverse(A)) = additive_identity.
% 0.82/1.20  13 is a new demodulator.
% 0.82/1.20  
% 0.82/1.20  ** KEPT: 14 (wt=6) [] multiply(inverse(A),A) = additive_identity.
% 0.82/1.20  14 is a new demodulator.
% 0.82/1.20  
% 0.82/1.20  ** KEPT: 15 (wt=5) [] multiply(A,multiplicative_identity) = A.
% 0.82/1.20  15 is a new demodulator.
% 0.82/1.20  
% 0.82/1.20  ** KEPT: 16 (wt=5) [] multiply(multiplicative_identity,A) = A.
% 0.82/1.20  16 is a new demodulator.
% 0.82/1.20  
% 0.82/1.20  ** KEPT: 17 (wt=5) [] add(A,additive_identity) = A.
% 0.82/1.20  17 is a new demodulator.
% 0.82/1.20  
% 0.82/1.20  ** KEPT: 18 (wt=5) [] add(additive_identity,A) = A.
% 0.82/1.20  18 is a new demodulator.
% 0.82/1.20  
% 0.82/1.20  ** KEPT: 19 (wt=5) [] multiply(x,y) = z.
% 0.82/1.20  19 is a new demodulator.
% 0.82/1.20  
% 0.82/1.20  ** KEPT: 20 (wt=5) [] -(add(x,z) = x).
% 0.82/1.20  ---------------- PROOF FOUND ----------------
% 0.82/1.20  % SZS status Unsatisfiable
% 0.82/1.20  
% 0.82/1.20  
% 0.82/1.20  After processing input:
% 0.82/1.20  
% 0.82/1.20  Usable:
% 0.82/1.20  end_of_list.
% 0.82/1.20  
% 0.82/1.20  Sos:
% 0.82/1.20  15 (wt=5) [] multiply(A,multiplicative_identity) = A.
% 0.82/1.20  16 (wt=5) [] multiply(multiplicative_identity,A) = A.
% 0.82/1.20  17 (wt=5) [] add(A,additive_identity) = A.
% 0.82/1.20  18 (wt=5) [] add(additive_identity,A) = A.
% 0.82/1.20  19 (wt=5) [] multiply(x,y) = z.
% 0.82/1.20  20 (wt=5) [] -(add(x,z) = x).
% 0.82/1.20  11 (wt=6) [] add(A,inverse(A)) = multiplicative_identity.
% 0.82/1.20  12 (wt=6) [] add(inverse(A),A) = multiplicative_identity.
% 0.82/1.20  13 (wt=6) [] multiply(A,inverse(A)) = additive_identity.
% 0.82/1.20  14 (wt=6) [] multiply(inverse(A),A) = additive_identity.
% 0.82/1.20  1 (wt=7) [] add(A,B) = add(B,A).
% 0.82/1.20  2 (wt=7) [] multiply(A,B) = multiply(B,A).
% 0.82/1.20  5 (wt=13) [] multiply(add(A,B),C) = add(multiply(A,C),multiply(B,C)).
% 0.82/1.20  8 (wt=13) [] multiply(A,add(B,C)) = add(multiply(A,B),multiply(A,C)).
% 0.82/1.20  9 (wt=21) [back_demod(7),demod([8,8])] add(add(multiply(A,B),multiply(A,C)),add(multiply(C,B),multiply(C,C))) = add(multiply(A,B),C).
% 0.82/1.20  10 (wt=21) [back_demod(6),demod([8,8])] add(add(multiply(A,A),multiply(A,B)),add(multiply(C,A),multiply(C,B))) = add(A,multiply(C,B)).
% 0.82/1.20  end_of_list.
% 0.82/1.20  
% 0.82/1.20  Demodulators:
% 0.82/1.20  5 (wt=13) [] multiply(add(A,B),C) = add(multiply(A,C),multiply(B,C)).
% 0.82/1.20  8 (wt=13) [] multiply(A,add(B,C)) = add(multiply(A,B),multiply(A,C)).
% 0.82/1.20  9 (wt=21) [back_demod(7),demod([8,8])] add(add(multiply(A,B),multiply(A,C)),add(multiply(C,B),multiply(C,C))) = add(multiply(A,B),C).
% 0.82/1.20  10 (wt=21) [back_demod(6),demod([8,8])] add(add(multiply(A,A),multiply(A,B)),add(multiply(C,A),multiply(C,B))) = add(A,multiply(C,B)).
% 0.82/1.20  11 (wt=6) [] add(A,inverse(A)) = multiplicative_identity.
% 0.82/1.20  12 (wt=6) [] add(inverse(A),A) = multiplicative_identity.
% 0.82/1.20  13 (wt=6) [] multiply(A,inverse(A)) = additive_identity.
% 0.82/1.20  14 (wt=6) [] multiply(inverse(A),A) = additive_identity.
% 0.82/1.20  15 (wt=5) [] multiply(A,multiplicative_identity) = A.
% 0.82/1.20  16 (wt=5) [] multiply(multiplicative_identity,A) = A.
% 0.82/1.20  17 (wt=5) [] add(A,additive_identity) = A.
% 0.82/1.20  18 (wt=5) [] add(additive_identity,A) = A.
% 0.82/1.20  19 (wt=5) [] multiply(x,y) = z.
% 0.82/1.20  end_of_list.
% 0.82/1.20  
% 0.82/1.20  Passive:
% 0.82/1.20  end_of_list.
% 0.82/1.20  
% 0.82/1.20  UNIT CONFLICT from 846 and 20 at   0.06 seconds.
% 0.82/1.20  
% 0.82/1.20  ---------------- PROOF ----------------
% 0.82/1.20  % SZS output start Refutation
% See solution above
% 0.82/1.20  ------------ end of proof -------------
% 0.82/1.20  
% 0.82/1.20  
% 0.82/1.20  ------------- memory usage ------------
% 0.82/1.20  Memory dynamically allocated (tp_alloc): 1464.
% 0.82/1.20    type (bytes each)        gets      frees     in use      avail      bytes
% 0.82/1.20  sym_ent (  96)               59          0         59          0      5.5 K
% 0.82/1.20  term (  16)               71276      51377      19899         35    386.0 K
% 0.82/1.20  gen_ptr (   8)            92201      14196      78005         45    609.8 K
% 0.82/1.20  context ( 808)            69949      69947          2          3      3.9 K
% 0.82/1.20  trail (  12)              28499      28499          0          4      0.0 K
% 0.82/1.20  bt_node (  68)            30169      30166          3         12      1.0 K
% 0.82/1.20  ac_position (285432)          0          0          0          0      0.0 K
% 0.82/1.20  ac_match_pos (14044)          0          0          0          0      0.0 K
% 0.82/1.20  ac_match_free_vars_pos (4020)
% 0.82/1.20                                0          0          0          0      0.0 K
% 0.82/1.20  discrim (  12)            11869       2607       9262        205    110.9 K
% 0.82/1.20  flat (  40)              159719     159719          0         47      1.8 K
% 0.82/1.20  discrim_pos (  12)         3837       3837          0          1      0.0 K
% 0.82/1.20  fpa_head (  12)            1352          0       1352          0     15.8 K
% 0.82/1.20  fpa_tree (  28)            1747       1747          0         17      0.5 K
% 0.82/1.20  fpa_pos (  36)             1194       1194          0          1      0.0 K
% 0.82/1.20  literal (  12)             4143       3297        846          1      9.9 K
% 0.82/1.20  clause (  24)              4143       3297        846          1     19.9 K
% 0.82/1.20  list (  12)                 407        348         59          1      0.7 K
% 0.82/1.20  list_pos (  20)            3303        900       2403         22     47.4 K
% 0.82/1.20  pair_index (   40)              2          0          2          0      0.1 K
% 0.82/1.20  
% 0.82/1.20  -------------- statistics -------------
% 0.82/1.20  Clauses input                 16
% 0.82/1.20    Usable input                   0
% 0.82/1.20    Sos input                     16
% 0.82/1.20    Demodulators input             0
% 0.82/1.20    Passive input                  0
% 0.82/1.20  
% 0.82/1.20  Processed BS (before search)  22
% 0.82/1.20  Forward subsumed BS            2
% 0.82/1.20  Kept BS                       20
% 0.82/1.20  New demodulators BS           17
% 0.82/1.20  Back demodulated BS            4
% 0.82/1.20  
% 0.82/1.20  Clauses or pairs given      4993
% 0.82/1.20  Clauses generated           2316
% 0.82/1.20  Forward subsumed            1490
% 0.82/1.20  Deleted by weight              0
% 0.82/1.20  Deleted by variable count      0
% 0.82/1.20  Kept                         826
% 0.82/1.20  New demodulators             331
% 0.82/1.20  Back demodulated             183
% 0.82/1.20  Ordered paramod prunes         0
% 0.82/1.20  Basic paramod prunes       17889
% 0.82/1.20  Prime paramod prunes         117
% 0.82/1.20  Semantic prunes                0
% 0.82/1.20  
% 0.82/1.20  Rewrite attmepts           30109
% 0.82/1.20  Rewrites                    2971
% 0.82/1.20  
% 0.82/1.20  FPA overloads                  0
% 0.82/1.20  FPA underloads                 0
% 0.82/1.20  
% 0.82/1.20  Usable size                    0
% 0.82/1.20  Sos size                     658
% 0.82/1.20  Demodulators size            223
% 0.82/1.20  Passive size                   0
% 0.82/1.20  Disabled size                187
% 0.82/1.20  
% 0.82/1.20  Proofs found                   1
% 0.82/1.20  
% 0.82/1.20  ----------- times (seconds) ----------- Wed Jun  1 15:38:54 2022
% 0.82/1.20  
% 0.82/1.20  user CPU time             0.06   (0 hr, 0 min, 0 sec)
% 0.82/1.20  system CPU time           0.07   (0 hr, 0 min, 0 sec)
% 0.82/1.20  wall-clock time           0      (0 hr, 0 min, 0 sec)
% 0.82/1.20  input time                0.00
% 0.82/1.20  paramodulation time       0.01
% 0.82/1.20  demodulation time         0.01
% 0.82/1.20  orient time               0.01
% 0.82/1.20  weigh time                0.00
% 0.82/1.20  forward subsume time      0.00
% 0.82/1.20  back demod find time      0.00
% 0.82/1.20  conflict time             0.00
% 0.82/1.20  LRPO time                 0.00
% 0.82/1.20  store clause time         0.00
% 0.82/1.20  disable clause time       0.00
% 0.82/1.20  prime paramod time        0.00
% 0.82/1.20  semantics time            0.00
% 0.82/1.20  
% 0.82/1.20  EQP interrupted
%------------------------------------------------------------------------------