TSTP Solution File: ALG236-1 by EQP---0.9e

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : EQP---0.9e
% Problem  : ALG236-1 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : tptp2X_and_run_eqp %s

% Computer : n025.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 15:38:49 EDT 2022

% Result   : Unsatisfiable 0.95s 1.36s
% Output   : Refutation 0.95s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   17
%            Number of leaves      :    3
% Syntax   : Number of clauses     :   60 (  60 unt;   0 nHn;   2 RR)
%            Number of literals    :   60 (   0 equ;   1 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :    7 (   2 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   5 con; 0-2 aty)
%            Number of variables   :  240 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(1,plain,
    equal(mult(A,mult(B,mult(A,B))),mult(A,B)),
    file('ALG236-1.p',unknown),
    [] ).

cnf(2,plain,
    equal(mult(A,mult(B,mult(C,D))),mult(C,mult(B,mult(A,D)))),
    file('ALG236-1.p',unknown),
    [] ).

cnf(3,plain,
    equal(mult(mult(A,mult(B,mult(C,B))),D),mult(A,mult(D,mult(mult(C,B),D)))),
    file('ALG236-1.p',unknown),
    [] ).

cnf(4,plain,
    equal(mult(A,mult(B,mult(mult(C,D),B))),mult(mult(A,mult(D,mult(C,D))),B)),
    inference(flip,[status(thm),theory(equality)],[3]),
    [iquote('flip(3)')] ).

cnf(5,plain,
    ~ equal(mult(a,mult(c,mult(mult(d,b),e))),mult(mult(a,b),mult(c,mult(d,e)))),
    inference(flip,[status(thm),theory(equality)],[1]),
    [iquote('flip(1)')] ).

cnf(7,plain,
    equal(mult(A,mult(B,mult(C,D))),mult(C,mult(B,mult(A,mult(D,mult(C,D)))))),
    inference(para,[status(thm),theory(equality)],[1,2]),
    [iquote('para(1,2)')] ).

cnf(8,plain,
    equal(mult(A,mult(B,mult(C,mult(D,mult(A,D))))),mult(C,mult(B,mult(A,D)))),
    inference(flip,[status(thm),theory(equality)],[7]),
    [iquote('flip(7)')] ).

cnf(9,plain,
    equal(mult(A,mult(B,mult(C,mult(B,A)))),mult(C,mult(B,A))),
    inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[1,2]),1]),
    [iquote('para(1,2),flip(1)')] ).

cnf(10,plain,
    equal(mult(A,mult(mult(B,mult(C,D)),mult(C,mult(B,mult(A,D))))),mult(A,mult(B,mult(C,D)))),
    inference(para,[status(thm),theory(equality)],[2,1]),
    [iquote('para(2,1)')] ).

cnf(14,plain,
    equal(mult(mult(A,B),mult(B,mult(A,B))),mult(A,B)),
    inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[1,9]),1]),
    [iquote('para(1,9),demod([1])')] ).

cnf(17,plain,
    equal(mult(A,mult(B,mult(C,mult(D,E)))),mult(C,mult(D,mult(A,mult(B,E))))),
    inference(para,[status(thm),theory(equality)],[2,2]),
    [iquote('para(2,2)')] ).

cnf(22,plain,
    equal(mult(A,mult(B,mult(mult(A,B),B))),mult(A,B)),
    inference(para,[status(thm),theory(equality)],[2,14]),
    [iquote('para(2,14)')] ).

cnf(23,plain,
    equal(mult(A,mult(B,mult(C,D))),mult(mult(C,D),mult(B,mult(A,mult(D,mult(C,D)))))),
    inference(para,[status(thm),theory(equality)],[14,2]),
    [iquote('para(14,2)')] ).

cnf(24,plain,
    equal(mult(mult(A,B),mult(C,mult(D,mult(B,mult(A,B))))),mult(D,mult(C,mult(A,B)))),
    inference(flip,[status(thm),theory(equality)],[23]),
    [iquote('flip(23)')] ).

cnf(29,plain,
    equal(mult(A,mult(B,mult(mult(A,C),B))),mult(mult(A,C),B)),
    inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[1,3]),1]),
    [iquote('para(1,3),flip(1)')] ).

cnf(30,plain,
    equal(mult(mult(A,B),B),mult(A,B)),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[22]),29]),
    [iquote('back_demod(22),demod([29])')] ).

cnf(33,plain,
    equal(mult(mult(A,mult(B,mult(C,D))),mult(B,mult(A,D))),mult(C,mult(B,mult(A,D)))),
    inference(para,[status(thm),theory(equality)],[2,30]),
    [iquote('para(2,30)')] ).

cnf(35,plain,
    equal(mult(A,mult(B,mult(C,D))),mult(mult(C,D),mult(B,mult(A,D)))),
    inference(para,[status(thm),theory(equality)],[30,2]),
    [iquote('para(30,2)')] ).

cnf(36,plain,
    equal(mult(mult(A,B),mult(C,mult(D,B))),mult(D,mult(C,mult(A,B)))),
    inference(flip,[status(thm),theory(equality)],[35]),
    [iquote('flip(35)')] ).

cnf(61,plain,
    equal(mult(mult(A,B),mult(C,mult(D,B))),mult(A,mult(C,mult(D,B)))),
    inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[36,30]),33]),1]),
    [iquote('para(36,30),demod([33]),flip(1)')] ).

cnf(83,plain,
    equal(mult(mult(A,mult(B,mult(C,B))),D),mult(mult(C,B),mult(D,mult(A,D)))),
    inference(para,[status(thm),theory(equality)],[4,2]),
    [iquote('para(4,2)')] ).

cnf(107,plain,
    equal(mult(mult(A,mult(B,mult(C,D))),mult(B,mult(A,mult(D,mult(C,D))))),mult(C,mult(B,mult(A,mult(D,mult(C,D)))))),
    inference(para,[status(thm),theory(equality)],[8,30]),
    [iquote('para(8,30)')] ).

cnf(111,plain,
    equal(mult(mult(A,mult(B,mult(C,mult(D,E)))),mult(D,mult(A,mult(B,E)))),mult(C,mult(D,mult(A,mult(B,E))))),
    inference(para,[status(thm),theory(equality)],[17,30]),
    [iquote('para(17,30)')] ).

cnf(113,plain,
    equal(mult(A,mult(B,mult(C,mult(D,E)))),mult(mult(C,mult(D,E)),mult(D,mult(A,mult(B,E))))),
    inference(para,[status(thm),theory(equality)],[30,17]),
    [iquote('para(30,17)')] ).

cnf(114,plain,
    equal(mult(mult(A,mult(B,C)),mult(B,mult(D,mult(E,C)))),mult(D,mult(E,mult(A,mult(B,C))))),
    inference(flip,[status(thm),theory(equality)],[113]),
    [iquote('flip(113)')] ).

cnf(137,plain,
    equal(mult(A,mult(B,mult(C,mult(D,mult(A,B))))),mult(C,mult(D,mult(A,B)))),
    inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[9,2]),1]),
    [iquote('para(9,2),flip(1)')] ).

cnf(138,plain,
    equal(mult(A,mult(B,mult(A,mult(C,mult(D,B))))),mult(A,mult(C,mult(D,B)))),
    inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[137,30]),61,137]),
    [iquote('para(137,30),demod([61,137])')] ).

cnf(142,plain,
    equal(mult(mult(A,B),mult(C,mult(A,C))),mult(mult(A,B),C)),
    inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[29,2]),1]),
    [iquote('para(29,2),flip(1)')] ).

cnf(152,plain,
    equal(mult(A,mult(B,mult(C,mult(B,mult(A,D))))),mult(C,mult(B,mult(A,D)))),
    inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[9,29]),30,9]),
    [iquote('para(9,29),demod([30,9])')] ).

cnf(161,plain,
    equal(mult(A,mult(mult(B,C),D)),mult(D,mult(mult(B,C),mult(A,mult(B,D))))),
    inference(para,[status(thm),theory(equality)],[142,2]),
    [iquote('para(142,2)')] ).

cnf(163,plain,
    equal(mult(mult(A,B),mult(mult(C,mult(D,E)),mult(D,mult(C,mult(A,E))))),mult(mult(A,B),mult(C,mult(D,E)))),
    inference(para,[status(thm),theory(equality)],[2,142]),
    [iquote('para(2,142)')] ).

cnf(164,plain,
    equal(mult(mult(A,B),mult(C,mult(A,mult(C,D)))),mult(mult(A,B),mult(C,D))),
    inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[2,142]),30]),
    [iquote('para(2,142),demod([30])')] ).

cnf(176,plain,
    equal(mult(A,mult(B,mult(C,mult(D,mult(A,D))))),mult(A,mult(B,mult(C,D)))),
    inference(para,[status(thm),theory(equality)],[7,2]),
    [iquote('para(7,2)')] ).

cnf(180,plain,
    equal(mult(mult(A,mult(B,mult(C,D))),mult(B,mult(A,mult(D,mult(C,D))))),mult(C,mult(B,mult(A,D)))),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[107]),176]),
    [iquote('back_demod(107),demod([176])')] ).

cnf(221,plain,
    equal(mult(A,mult(B,mult(A,mult(C,D)))),mult(A,mult(B,mult(D,mult(C,D))))),
    inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[3,10]),61,138,138]),
    [iquote('para(3,10),demod([61,138,138])')] ).

cnf(223,plain,
    equal(mult(A,mult(B,mult(C,mult(D,A)))),mult(C,mult(B,mult(C,mult(D,A))))),
    inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[221,30]),33]),
    [iquote('para(221,30),demod([33])')] ).

cnf(231,plain,
    equal(mult(A,mult(mult(mult(B,C),D),mult(D,mult(mult(B,C),mult(A,mult(B,D)))))),mult(A,mult(mult(B,C),D))),
    inference(para,[status(thm),theory(equality)],[161,1]),
    [iquote('para(161,1)')] ).

cnf(238,plain,
    equal(mult(mult(A,B),mult(C,mult(D,mult(B,mult(A,B))))),mult(A,mult(C,mult(D,B)))),
    inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[24,30]),180]),1]),
    [iquote('para(24,30),demod([180]),flip(1)')] ).

cnf(370,plain,
    equal(mult(mult(A,B),mult(B,mult(A,mult(C,mult(D,B))))),mult(A,mult(C,mult(D,B)))),
    inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[238,1]),111,238]),
    [iquote('para(238,1),demod([111,238])')] ).

cnf(371,plain,
    equal(mult(A,mult(mult(B,C),mult(A,mult(B,D)))),mult(A,mult(mult(B,C),D))),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[231]),370]),
    [iquote('back_demod(231),demod([370])')] ).

cnf(374,plain,
    equal(mult(mult(A,mult(B,C)),mult(mult(B,D),C)),mult(A,mult(mult(B,D),C))),
    inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[30,371]),61,371]),1]),
    [iquote('para(30,371),demod([61,371]),flip(1)')] ).

cnf(444,plain,
    equal(mult(mult(A,mult(B,C)),mult(B,mult(D,mult(E,C)))),mult(A,mult(B,mult(D,mult(E,C))))),
    inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[114,30]),111]),1]),
    [iquote('para(114,30),demod([111]),flip(1)')] ).

cnf(458,plain,
    equal(mult(mult(A,B),mult(C,mult(D,mult(C,mult(A,E))))),mult(mult(A,B),mult(C,mult(D,E)))),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[163]),444]),
    [iquote('back_demod(163),demod([444])')] ).

cnf(886,plain,
    equal(mult(mult(mult(A,B),C),D),mult(mult(A,C),mult(D,mult(mult(A,B),D)))),
    inference(para,[status(thm),theory(equality)],[142,83]),
    [iquote('para(142,83)')] ).

cnf(887,plain,
    equal(mult(mult(A,B),mult(C,mult(mult(A,D),C))),mult(mult(mult(A,D),B),C)),
    inference(flip,[status(thm),theory(equality)],[886]),
    [iquote('flip(886)')] ).

cnf(904,plain,
    equal(mult(mult(mult(A,B),C),B),mult(mult(A,C),B)),
    inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[30,887]),142]),1]),
    [iquote('para(30,887),demod([142]),flip(1)')] ).

cnf(1015,plain,
    equal(mult(mult(mult(A,B),C),mult(D,mult(E,B))),mult(mult(A,C),mult(D,mult(E,B)))),
    inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[61,904]),904]),1]),
    [iquote('para(61,904),demod([904]),flip(1)')] ).

cnf(1152,plain,
    equal(mult(mult(A,B),mult(C,mult(D,E))),mult(mult(D,B),mult(C,mult(A,E)))),
    inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[152,904]),1015,164,458]),
    [iquote('para(152,904),demod([1015,164,458])')] ).

cnf(1155,plain,
    equal(mult(mult(A,B),mult(C,mult(D,E))),mult(mult(D,B),mult(C,mult(mult(A,B),E)))),
    inference(para,[status(thm),theory(equality)],[30,1152]),
    [iquote('para(30,1152)')] ).

cnf(1156,plain,
    equal(mult(mult(A,B),mult(C,mult(mult(D,B),E))),mult(mult(D,B),mult(C,mult(A,E)))),
    inference(flip,[status(thm),theory(equality)],[1155]),
    [iquote('flip(1155)')] ).

cnf(1157,plain,
    equal(mult(mult(A,B),mult(mult(C,mult(D,E)),mult(mult(D,B),mult(C,mult(A,E))))),mult(mult(A,B),mult(C,mult(D,E)))),
    inference(para,[status(thm),theory(equality)],[1152,1]),
    [iquote('para(1152,1)')] ).

cnf(1171,plain,
    equal(mult(mult(A,B),mult(C,mult(mult(D,B),E))),mult(A,mult(C,mult(mult(D,B),E)))),
    inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[1156,30]),33]),1]),
    [iquote('para(1156,30),demod([33]),flip(1)')] ).

cnf(1172,plain,
    equal(mult(A,mult(mult(B,mult(C,D)),mult(mult(C,E),mult(B,mult(A,D))))),mult(mult(A,E),mult(B,mult(C,D)))),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1157]),1171]),
    [iquote('back_demod(1157),demod([1171])')] ).

cnf(1173,plain,
    equal(mult(mult(A,B),mult(C,mult(D,E))),mult(A,mult(mult(C,mult(D,E)),mult(mult(D,B),mult(C,mult(A,E)))))),
    inference(flip,[status(thm),theory(equality)],[1172]),
    [iquote('flip(1172)')] ).

cnf(1981,plain,
    equal(mult(mult(A,B),mult(mult(C,D),mult(E,mult(C,mult(A,B))))),mult(A,mult(mult(C,D),mult(E,B)))),
    inference(para,[status(thm),theory(equality)],[161,2]),
    [iquote('para(161,2)')] ).

cnf(2327,plain,
    equal(mult(mult(A,B),mult(C,mult(D,mult(E,mult(A,B))))),mult(A,mult(C,mult(D,mult(E,mult(A,B)))))),
    inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[223,29]),164,30]),1]),
    [iquote('para(223,29),demod([164,30]),flip(1)')] ).

cnf(2332,plain,
    equal(mult(A,mult(mult(B,C),mult(D,mult(B,mult(A,E))))),mult(A,mult(mult(B,C),mult(D,E)))),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1981]),2327]),
    [iquote('back_demod(1981),demod([2327])')] ).

cnf(2333,plain,
    equal(mult(mult(A,B),mult(C,mult(D,E))),mult(A,mult(C,mult(mult(D,B),E)))),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1173]),2332,374]),
    [iquote('back_demod(1173),demod([2332,374])')] ).

cnf(2334,plain,
    equal(mult(A,mult(B,mult(mult(C,D),E))),mult(mult(A,D),mult(B,mult(C,E)))),
    inference(flip,[status(thm),theory(equality)],[2333]),
    [iquote('flip(2333)')] ).

cnf(2335,plain,
    $false,
    inference(conflict,[status(thm)],[2334,5]),
    [iquote('conflict(2334,5)')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : ALG236-1 : TPTP v8.1.0. Released v4.0.0.
% 0.00/0.12  % Command  : tptp2X_and_run_eqp %s
% 0.12/0.33  % Computer : n025.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  8 15:19:04 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.95/1.36  ----- EQP 0.9e, May 2009 -----
% 0.95/1.36  The job began on n025.cluster.edu, Wed Jun  8 15:19:05 2022
% 0.95/1.36  The command was "./eqp09e".
% 0.95/1.36  
% 0.95/1.36  set(prolog_style_variables).
% 0.95/1.36  set(lrpo).
% 0.95/1.36  set(basic_paramod).
% 0.95/1.36  set(functional_subsume).
% 0.95/1.36  set(ordered_paramod).
% 0.95/1.36  set(prime_paramod).
% 0.95/1.36  set(para_pairs).
% 0.95/1.36  assign(pick_given_ratio,4).
% 0.95/1.36  clear(print_kept).
% 0.95/1.36  clear(print_new_demod).
% 0.95/1.36  clear(print_back_demod).
% 0.95/1.36  clear(print_given).
% 0.95/1.36  assign(max_mem,64000).
% 0.95/1.36  end_of_commands.
% 0.95/1.36  
% 0.95/1.36  Usable:
% 0.95/1.36  end_of_list.
% 0.95/1.36  
% 0.95/1.36  Sos:
% 0.95/1.36  0 (wt=-1) [] mult(A,mult(B,mult(A,B))) = mult(A,B).
% 0.95/1.36  0 (wt=-1) [] mult(A,mult(B,mult(C,D))) = mult(C,mult(B,mult(A,D))).
% 0.95/1.36  0 (wt=-1) [] mult(mult(A,mult(B,mult(C,B))),D) = mult(A,mult(D,mult(mult(C,B),D))).
% 0.95/1.36  0 (wt=-1) [] -(mult(mult(a,b),mult(c,mult(d,e))) = mult(a,mult(c,mult(mult(d,b),e)))).
% 0.95/1.36  end_of_list.
% 0.95/1.36  
% 0.95/1.36  Demodulators:
% 0.95/1.36  end_of_list.
% 0.95/1.36  
% 0.95/1.36  Passive:
% 0.95/1.36  end_of_list.
% 0.95/1.36  
% 0.95/1.36  Starting to process input.
% 0.95/1.36  
% 0.95/1.36  ** KEPT: 1 (wt=11) [] mult(A,mult(B,mult(A,B))) = mult(A,B).
% 0.95/1.36  1 is a new demodulator.
% 0.95/1.36  
% 0.95/1.36  ** KEPT: 2 (wt=15) [] mult(A,mult(B,mult(C,D))) = mult(C,mult(B,mult(A,D))).
% 0.95/1.36  clause forward subsumed: 0 (wt=15) [flip(2)] mult(C,mult(B,mult(A,D))) = mult(A,mult(B,mult(C,D))).
% 0.95/1.36  
% 0.95/1.36  ** KEPT: 3 (wt=19) [] mult(mult(A,mult(B,mult(C,B))),D) = mult(A,mult(D,mult(mult(C,B),D))).
% 0.95/1.36  
% 0.95/1.36  ** KEPT: 4 (wt=19) [flip(3)] mult(A,mult(B,mult(mult(C,D),B))) = mult(mult(A,mult(D,mult(C,D))),B).
% 0.95/1.36  clause forward subsumed: 0 (wt=19) [flip(4)] mult(mult(A,mult(D,mult(C,D))),B) = mult(A,mult(B,mult(mult(C,D),B))).
% 0.95/1.36  
% 0.95/1.36  ** KEPT: 5 (wt=19) [flip(1)] -(mult(a,mult(c,mult(mult(d,b),e))) = mult(mult(a,b),mult(c,mult(d,e)))).
% 0.95/1.36  ---------------- PROOF FOUND ----------------
% 0.95/1.36  % SZS status Unsatisfiable
% 0.95/1.36  
% 0.95/1.36  
% 0.95/1.36  After processing input:
% 0.95/1.36  
% 0.95/1.36  Usable:
% 0.95/1.36  end_of_list.
% 0.95/1.36  
% 0.95/1.36  Sos:
% 0.95/1.36  1 (wt=11) [] mult(A,mult(B,mult(A,B))) = mult(A,B).
% 0.95/1.36  2 (wt=15) [] mult(A,mult(B,mult(C,D))) = mult(C,mult(B,mult(A,D))).
% 0.95/1.36  3 (wt=19) [] mult(mult(A,mult(B,mult(C,B))),D) = mult(A,mult(D,mult(mult(C,B),D))).
% 0.95/1.36  4 (wt=19) [flip(3)] mult(A,mult(B,mult(mult(C,D),B))) = mult(mult(A,mult(D,mult(C,D))),B).
% 0.95/1.36  5 (wt=19) [flip(1)] -(mult(a,mult(c,mult(mult(d,b),e))) = mult(mult(a,b),mult(c,mult(d,e)))).
% 0.95/1.36  end_of_list.
% 0.95/1.36  
% 0.95/1.36  Demodulators:
% 0.95/1.36  1 (wt=11) [] mult(A,mult(B,mult(A,B))) = mult(A,B).
% 0.95/1.36  end_of_list.
% 0.95/1.36  
% 0.95/1.36  Passive:
% 0.95/1.36  end_of_list.
% 0.95/1.36  
% 0.95/1.36  UNIT CONFLICT from 2334 and 5 at   0.22 seconds.
% 0.95/1.36  
% 0.95/1.36  ---------------- PROOF ----------------
% 0.95/1.36  % SZS output start Refutation
% See solution above
% 0.95/1.36  ------------ end of proof -------------
% 0.95/1.36  
% 0.95/1.36  
% 0.95/1.36  ------------- memory usage ------------
% 0.95/1.36  Memory dynamically allocated (tp_alloc): 4882.
% 0.95/1.36    type (bytes each)        gets      frees     in use      avail      bytes
% 0.95/1.36  sym_ent (  96)               58          0         58          0      5.4 K
% 0.95/1.36  term (  16)              281421     209285      72136         30   1400.4 K
% 0.95/1.36  gen_ptr (   8)           386579      37986     348593         59   2723.8 K
% 0.95/1.36  context ( 808)           137214     137212          2          4      4.7 K
% 0.95/1.36  trail (  12)              66156      66156          0          8      0.1 K
% 0.95/1.36  bt_node (  68)            20297      20294          3         12      1.0 K
% 0.95/1.36  ac_position (285432)          0          0          0          0      0.0 K
% 0.95/1.36  ac_match_pos (14044)          0          0          0          0      0.0 K
% 0.95/1.36  ac_match_free_vars_pos (4020)
% 0.95/1.36                                0          0          0          0      0.0 K
% 0.95/1.36  discrim (  12)            40986       8416      32570        207    384.1 K
% 0.95/1.36  flat (  40)              910434     910434          0         61      2.4 K
% 0.95/1.36  discrim_pos (  12)         8172       8172          0          1      0.0 K
% 0.95/1.36  fpa_head (  12)            1057          0       1057          0     12.4 K
% 0.95/1.36  fpa_tree (  28)            2096       2096          0         23      0.6 K
% 0.95/1.36  fpa_pos (  36)             2912       2912          0          1      0.0 K
% 0.95/1.36  literal (  12)            11620       9286       2334          1     27.4 K
% 0.95/1.36  clause (  24)             11620       9286       2334          1     54.7 K
% 0.95/1.36  list (  12)                 637        579         58          1      0.7 K
% 0.95/1.36  list_pos (  20)            8517       2074       6443         26    126.3 K
% 0.95/1.36  pair_index (   40)              2          0          2          0      0.1 K
% 0.95/1.36  
% 0.95/1.36  -------------- statistics -------------
% 0.95/1.36  Clauses input                  4
% 0.95/1.36    Usable input                   0
% 0.95/1.36    Sos input                      4
% 0.95/1.36    Demodulators input             0
% 0.95/1.36    Passive input                  0
% 0.95/1.36  
% 0.95/1.36  Processed BS (before search)   7
% 0.95/1.36  Forward subsumed BS            2
% 0.95/1.36  Kept BS                        5
% 0.95/1.36  New demodulators BS            1
% 0.95/1.36  Back demodulated BS            0
% 0.95/1.36  
% 0.95/1.36  Clauses or pairs given       867
% 0.95/1.36  Clauses generated           6088
% 0.95/1.36  Forward subsumed            3759
% 0.95/1.36  Deleted by weight              0
% 0.95/1.36  Deleted by variable count      0
% 0.95/1.36  Kept                        2329
% 0.95/1.36  New demodulators             577
% 0.95/1.36  Back demodulated             463
% 0.95/1.36  Ordered paramod prunes         0
% 0.95/1.36  Basic paramod prunes        1051
% 0.95/1.36  Prime paramod prunes          29
% 0.95/1.36  Semantic prunes                0
% 0.95/1.36  
% 0.95/1.36  Rewrite attmepts          103118
% 0.95/1.36  Rewrites                    5825
% 0.95/1.36  
% 0.95/1.36  FPA overloads                  0
% 0.95/1.36  FPA underloads                 0
% 0.95/1.36  
% 0.95/1.36  Usable size                    0
% 0.95/1.36  Sos size                    1870
% 0.95/1.36  Demodulators size            362
% 0.95/1.36  Passive size                   0
% 0.95/1.36  Disabled size                463
% 0.95/1.36  
% 0.95/1.36  Proofs found                   1
% 0.95/1.36  
% 0.95/1.36  ----------- times (seconds) ----------- Wed Jun  8 15:19:05 2022
% 0.95/1.36  
% 0.95/1.36  user CPU time             0.22   (0 hr, 0 min, 0 sec)
% 0.95/1.36  system CPU time           0.08   (0 hr, 0 min, 0 sec)
% 0.95/1.36  wall-clock time           0      (0 hr, 0 min, 0 sec)
% 0.95/1.36  input time                0.00
% 0.95/1.36  paramodulation time       0.03
% 0.95/1.36  demodulation time         0.05
% 0.95/1.36  orient time               0.03
% 0.95/1.36  weigh time                0.00
% 0.95/1.36  forward subsume time      0.01
% 0.95/1.36  back demod find time      0.03
% 0.95/1.36  conflict time             0.00
% 0.95/1.36  LRPO time                 0.02
% 0.95/1.36  store clause time         0.05
% 0.95/1.36  disable clause time       0.01
% 0.95/1.36  prime paramod time        0.01
% 0.95/1.36  semantics time            0.00
% 0.95/1.36  
% 0.95/1.36  EQP interrupted
%------------------------------------------------------------------------------