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%------------------------------------------------------------------------------
% File     : EQP---0.9e
% Problem  : GRP434-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : tptp2X_and_run_eqp %s

% Computer : n015.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 : Sat Jul 16 08:47:09 EDT 2022

% Result   : Unsatisfiable 0.82s 1.19s
% Output   : Refutation 0.82s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   27
%            Number of leaves      :    2
% Syntax   : Number of clauses     :   63 (  63 unt;   0 nHn;   2 RR)
%            Number of literals    :   63 (   0 equ;   1 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :   15 (   3 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   2 con; 0-2 aty)
%            Number of variables   :  241 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(1,plain,
    equal(inverse(multiply(multiply(multiply(inverse(multiply(multiply(A,B),C)),A),B),multiply(D,inverse(D)))),C),
    file('GRP434-1.p',unknown),
    [] ).

cnf(2,plain,
    ~ equal(multiply(multiply(inverse(b2),b2),a2),a2),
    file('GRP434-1.p',unknown),
    [] ).

cnf(3,plain,
    equal(inverse(multiply(multiply(multiply(A,multiply(inverse(multiply(multiply(B,C),A)),B)),C),multiply(D,inverse(D)))),multiply(E,inverse(E))),
    inference(para,[status(thm),theory(equality)],[1,1]),
    [iquote('para(1,1)')] ).

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

cnf(6,plain,
    equal(inverse(multiply(multiply(multiply(multiply(A,inverse(A)),multiply(B,multiply(inverse(multiply(multiply(C,D),B)),C))),D),multiply(E,inverse(E)))),multiply(F,inverse(F))),
    inference(para,[status(thm),theory(equality)],[3,1]),
    [iquote('para(3,1)')] ).

cnf(7,plain,
    equal(multiply(A,inverse(A)),inverse(multiply(multiply(multiply(multiply(B,inverse(B)),multiply(C,multiply(inverse(multiply(multiply(D,E),C)),D))),E),multiply(F,inverse(F))))),
    inference(flip,[status(thm),theory(equality)],[6]),
    [iquote('flip(6)')] ).

cnf(13,plain,
    equal(multiply(A,inverse(A)),multiply(B,inverse(B))),
    inference(para,[status(thm),theory(equality)],[3,3]),
    [iquote('para(3,3)')] ).

cnf(14,plain,
    equal(inverse(multiply(multiply(multiply(inverse(multiply(multiply(A,inverse(A)),B)),C),inverse(C)),multiply(D,inverse(D)))),B),
    inference(para,[status(thm),theory(equality)],[13,1]),
    [iquote('para(13,1)')] ).

cnf(15,plain,
    equal(inverse(multiply(multiply(multiply(inverse(multiply(A,inverse(A))),B),C),multiply(D,inverse(D)))),inverse(multiply(B,C))),
    inference(para,[status(thm),theory(equality)],[13,1]),
    [iquote('para(13,1)')] ).

cnf(16,plain,
    equal(inverse(multiply(multiply(multiply(inverse(multiply(inverse(multiply(multiply(multiply(A,multiply(inverse(multiply(multiply(B,C),A)),B)),C),multiply(D,inverse(D)))),E)),F),inverse(F)),multiply(G,inverse(G)))),E),
    inference(para,[status(thm),theory(equality)],[4,1]),
    [iquote('para(4,1)')] ).

cnf(18,plain,
    equal(inverse(multiply(multiply(multiply(inverse(multiply(multiply(A,B),C)),A),B),inverse(multiply(multiply(multiply(D,multiply(inverse(multiply(multiply(E,F),D)),E)),F),multiply(G,inverse(G)))))),C),
    inference(para,[status(thm),theory(equality)],[4,1]),
    [iquote('para(4,1)')] ).

cnf(20,plain,
    equal(inverse(multiply(multiply(multiply(A,inverse(A)),B),multiply(C,inverse(C)))),inverse(multiply(inverse(inverse(multiply(D,inverse(D)))),B))),
    inference(para,[status(thm),theory(equality)],[13,15]),
    [iquote('para(13,15)')] ).

cnf(21,plain,
    equal(inverse(multiply(inverse(inverse(multiply(A,inverse(A)))),B)),inverse(multiply(multiply(multiply(C,inverse(C)),B),multiply(D,inverse(D))))),
    inference(flip,[status(thm),theory(equality)],[20]),
    [iquote('flip(20)')] ).

cnf(22,plain,
    equal(inverse(multiply(multiply(A,inverse(A)),multiply(B,inverse(B)))),inverse(multiply(C,inverse(multiply(inverse(multiply(D,inverse(D))),C))))),
    inference(para,[status(thm),theory(equality)],[13,15]),
    [iquote('para(13,15)')] ).

cnf(23,plain,
    equal(inverse(multiply(A,inverse(multiply(inverse(multiply(B,inverse(B))),A)))),inverse(multiply(multiply(C,inverse(C)),multiply(D,inverse(D))))),
    inference(flip,[status(thm),theory(equality)],[22]),
    [iquote('flip(22)')] ).

cnf(97,plain,
    equal(inverse(multiply(multiply(multiply(inverse(multiply(multiply(A,inverse(A)),B)),C),inverse(C)),inverse(multiply(multiply(multiply(D,multiply(inverse(multiply(multiply(E,F),D)),E)),F),multiply(G,inverse(G)))))),B),
    inference(para,[status(thm),theory(equality)],[13,18]),
    [iquote('para(13,18)')] ).

cnf(121,plain,
    equal(inverse(multiply(multiply(multiply(inverse(multiply(inverse(inverse(multiply(A,inverse(A)))),inverse(multiply(B,inverse(B))))),C),inverse(C)),multiply(D,inverse(D)))),multiply(E,inverse(E))),
    inference(para,[status(thm),theory(equality)],[20,14]),
    [iquote('para(20,14)')] ).

cnf(130,plain,
    equal(inverse(multiply(multiply(multiply(A,inverse(A)),inverse(inverse(inverse(multiply(inverse(inverse(multiply(B,inverse(B)))),inverse(multiply(C,inverse(C)))))))),multiply(D,inverse(D)))),multiply(E,inverse(E))),
    inference(para,[status(thm),theory(equality)],[13,121]),
    [iquote('para(13,121)')] ).

cnf(131,plain,
    equal(multiply(A,inverse(A)),inverse(multiply(multiply(multiply(B,inverse(B)),inverse(inverse(inverse(multiply(inverse(inverse(multiply(C,inverse(C)))),inverse(multiply(D,inverse(D)))))))),multiply(E,inverse(E))))),
    inference(flip,[status(thm),theory(equality)],[130]),
    [iquote('flip(130)')] ).

cnf(163,plain,
    equal(multiply(A,inverse(A)),inverse(multiply(inverse(multiply(B,inverse(B))),multiply(C,inverse(C))))),
    inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[23,14]),14]),
    [iquote('para(23,14),demod([14])')] ).

cnf(175,plain,
    equal(inverse(multiply(multiply(multiply(inverse(multiply(multiply(A,B),C)),A),B),inverse(multiply(inverse(multiply(D,inverse(D))),multiply(E,inverse(E)))))),C),
    inference(para,[status(thm),theory(equality)],[163,1]),
    [iquote('para(163,1)')] ).

cnf(180,plain,
    equal(inverse(multiply(multiply(multiply(inverse(multiply(A,inverse(A))),B),C),inverse(multiply(inverse(multiply(D,inverse(D))),multiply(E,inverse(E)))))),inverse(multiply(B,C))),
    inference(para,[status(thm),theory(equality)],[13,175]),
    [iquote('para(13,175)')] ).

cnf(207,plain,
    equal(inverse(multiply(multiply(multiply(A,inverse(A)),B),inverse(multiply(inverse(multiply(C,inverse(C))),multiply(D,inverse(D)))))),inverse(multiply(inverse(inverse(multiply(E,inverse(E)))),B))),
    inference(para,[status(thm),theory(equality)],[13,180]),
    [iquote('para(13,180)')] ).

cnf(208,plain,
    equal(inverse(multiply(inverse(inverse(multiply(A,inverse(A)))),B)),inverse(multiply(multiply(multiply(C,inverse(C)),B),inverse(multiply(inverse(multiply(D,inverse(D))),multiply(E,inverse(E))))))),
    inference(flip,[status(thm),theory(equality)],[207]),
    [iquote('flip(207)')] ).

cnf(316,plain,
    equal(inverse(multiply(multiply(inverse(multiply(multiply(multiply(A,multiply(inverse(multiply(multiply(B,C),A)),B)),C),multiply(D,inverse(D)))),inverse(inverse(inverse(multiply(multiply(E,inverse(E)),F))))),multiply(G,inverse(G)))),F),
    inference(para,[status(thm),theory(equality)],[4,14]),
    [iquote('para(4,14)')] ).

cnf(340,plain,
    equal(inverse(multiply(multiply(inverse(multiply(multiply(A,B),inverse(multiply(C,inverse(C))))),A),B)),multiply(D,inverse(D))),
    inference(para,[status(thm),theory(equality)],[15,3]),
    [iquote('para(15,3)')] ).

cnf(342,plain,
    equal(inverse(multiply(multiply(inverse(multiply(multiply(multiply(A,multiply(inverse(multiply(multiply(B,C),A)),B)),C),multiply(D,inverse(D)))),E),multiply(F,inverse(F)))),inverse(multiply(inverse(inverse(multiply(G,inverse(G)))),E))),
    inference(para,[status(thm),theory(equality)],[4,15]),
    [iquote('para(4,15)')] ).

cnf(343,plain,
    equal(inverse(multiply(inverse(inverse(multiply(A,inverse(A)))),B)),inverse(multiply(multiply(inverse(multiply(multiply(multiply(C,multiply(inverse(multiply(multiply(D,E),C)),D)),E),multiply(F,inverse(F)))),B),multiply(G,inverse(G))))),
    inference(flip,[status(thm),theory(equality)],[342]),
    [iquote('flip(342)')] ).

cnf(356,plain,
    equal(inverse(multiply(multiply(multiply(multiply(A,inverse(A)),inverse(multiply(multiply(B,C),inverse(multiply(D,inverse(D)))))),B),multiply(E,inverse(E)))),C),
    inference(para,[status(thm),theory(equality)],[340,1]),
    [iquote('para(340,1)')] ).

cnf(358,plain,
    equal(inverse(multiply(multiply(multiply(A,inverse(A)),B),multiply(C,inverse(C)))),inverse(B)),
    inference(para,[status(thm),theory(equality)],[13,356]),
    [iquote('para(13,356)')] ).

cnf(372,plain,
    equal(multiply(A,inverse(A)),inverse(inverse(inverse(inverse(multiply(inverse(inverse(multiply(B,inverse(B)))),inverse(multiply(C,inverse(C))))))))),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[131]),358]),
    [iquote('back_demod(131),demod([358])')] ).

cnf(373,plain,
    equal(inverse(inverse(inverse(inverse(multiply(inverse(inverse(multiply(A,inverse(A)))),inverse(multiply(B,inverse(B)))))))),multiply(C,inverse(C))),
    inference(flip,[status(thm),theory(equality)],[372]),
    [iquote('flip(372)')] ).

cnf(378,plain,
    equal(inverse(multiply(inverse(inverse(multiply(A,inverse(A)))),B)),inverse(B)),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[21]),358]),
    [iquote('back_demod(21),demod([358])')] ).

cnf(379,plain,
    equal(inverse(inverse(inverse(inverse(inverse(multiply(A,inverse(A))))))),multiply(B,inverse(B))),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[373]),378]),
    [iquote('back_demod(373),demod([378])')] ).

cnf(381,plain,
    equal(inverse(multiply(multiply(inverse(multiply(multiply(multiply(A,multiply(inverse(multiply(multiply(B,C),A)),B)),C),multiply(D,inverse(D)))),E),multiply(F,inverse(F)))),inverse(E)),
    inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[343]),378]),1]),
    [iquote('back_demod(343),demod([378]),flip(1)')] ).

cnf(382,plain,
    equal(inverse(inverse(inverse(inverse(multiply(multiply(A,inverse(A)),B))))),B),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[316]),381]),
    [iquote('back_demod(316),demod([381])')] ).

cnf(399,plain,
    equal(inverse(multiply(multiply(multiply(A,inverse(A)),B),inverse(multiply(inverse(multiply(C,inverse(C))),multiply(D,inverse(D)))))),inverse(B)),
    inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[208]),378]),1]),
    [iquote('back_demod(208),demod([378]),flip(1)')] ).

cnf(415,plain,
    equal(inverse(multiply(multiply(multiply(inverse(multiply(A,inverse(A))),B),C),inverse(multiply(multiply(multiply(multiply(D,inverse(D)),multiply(E,multiply(inverse(multiply(multiply(F,G),E)),F))),G),multiply(H,inverse(H)))))),inverse(multiply(B,C))),
    inference(para,[status(thm),theory(equality)],[7,15]),
    [iquote('para(7,15)')] ).

cnf(439,plain,
    equal(inverse(inverse(multiply(A,inverse(A)))),multiply(B,inverse(B))),
    inference(para,[status(thm),theory(equality)],[382,379]),
    [iquote('para(382,379)')] ).

cnf(440,plain,
    equal(multiply(A,inverse(A)),inverse(inverse(multiply(B,inverse(B))))),
    inference(flip,[status(thm),theory(equality)],[439]),
    [iquote('flip(439)')] ).

cnf(449,plain,
    equal(inverse(multiply(multiply(multiply(inverse(multiply(inverse(multiply(multiply(multiply(A,multiply(inverse(multiply(multiply(B,C),A)),B)),C),multiply(D,inverse(D)))),E)),F),inverse(F)),inverse(multiply(multiply(multiply(G,multiply(inverse(multiply(multiply(H,I),G)),H)),I),multiply(J,inverse(J)))))),E),
    inference(para,[status(thm),theory(equality)],[4,16]),
    [iquote('para(4,16)')] ).

cnf(450,plain,
    equal(inverse(inverse(inverse(inverse(multiply(multiply(inverse(multiply(A,inverse(A))),multiply(B,inverse(B))),C))))),C),
    inference(para,[status(thm),theory(equality)],[439,382]),
    [iquote('para(439,382)')] ).

cnf(451,plain,
    equal(inverse(inverse(multiply(A,inverse(A)))),inverse(multiply(B,inverse(B)))),
    inference(para,[status(thm),theory(equality)],[439,382]),
    [iquote('para(439,382)')] ).

cnf(457,plain,
    equal(inverse(multiply(A,inverse(A))),multiply(B,inverse(B))),
    inference(para,[status(thm),theory(equality)],[451,439]),
    [iquote('para(451,439)')] ).

cnf(458,plain,
    equal(multiply(A,inverse(A)),inverse(multiply(B,inverse(B)))),
    inference(flip,[status(thm),theory(equality)],[457]),
    [iquote('flip(457)')] ).

cnf(472,plain,
    equal(inverse(inverse(inverse(inverse(multiply(inverse(multiply(A,inverse(A))),B))))),B),
    inference(para,[status(thm),theory(equality)],[458,382]),
    [iquote('para(458,382)')] ).

cnf(479,plain,
    equal(inverse(inverse(inverse(inverse(A)))),A),
    inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[440,382]),378]),
    [iquote('para(440,382),demod([378])')] ).

cnf(480,plain,
    equal(multiply(inverse(multiply(A,inverse(A))),B),B),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[472]),479]),
    [iquote('back_demod(472),demod([479])')] ).

cnf(481,plain,
    equal(multiply(multiply(A,inverse(A)),B),B),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[450]),480,479]),
    [iquote('back_demod(450),demod([480,479])')] ).

cnf(485,plain,
    equal(inverse(multiply(multiply(A,B),inverse(multiply(multiply(multiply(C,multiply(inverse(multiply(multiply(D,E),C)),D)),E),multiply(F,inverse(F)))))),inverse(multiply(A,B))),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[415]),480,481]),
    [iquote('back_demod(415),demod([480,481])')] ).

cnf(486,plain,
    equal(inverse(multiply(multiply(inverse(multiply(inverse(multiply(multiply(multiply(A,multiply(inverse(multiply(multiply(B,C),A)),B)),C),multiply(D,inverse(D)))),E)),F),inverse(F))),E),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[449]),485]),
    [iquote('back_demod(449),demod([485])')] ).

cnf(488,plain,
    equal(inverse(multiply(multiply(inverse(A),B),inverse(B))),A),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[97]),481,485]),
    [iquote('back_demod(97),demod([481,485])')] ).

cnf(489,plain,
    equal(multiply(inverse(multiply(multiply(multiply(A,multiply(inverse(multiply(multiply(B,C),A)),B)),C),multiply(D,inverse(D)))),E),E),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[486]),488]),
    [iquote('back_demod(486),demod([488])')] ).

cnf(504,plain,
    equal(inverse(multiply(A,multiply(B,inverse(B)))),inverse(A)),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[381]),489]),
    [iquote('back_demod(381),demod([489])')] ).

cnf(520,plain,
    equal(inverse(multiply(A,inverse(multiply(B,inverse(B))))),inverse(A)),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[399]),481,480]),
    [iquote('back_demod(399),demod([481,480])')] ).

cnf(522,plain,
    equal(inverse(multiply(inverse(multiply(A,B)),A)),B),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[356]),520,481,504]),
    [iquote('back_demod(356),demod([520,481,504])')] ).

cnf(598,plain,
    equal(inverse(inverse(inverse(A))),multiply(inverse(multiply(B,A)),B)),
    inference(para,[status(thm),theory(equality)],[522,479]),
    [iquote('para(522,479)')] ).

cnf(599,plain,
    equal(multiply(inverse(multiply(A,B)),A),inverse(inverse(inverse(B)))),
    inference(flip,[status(thm),theory(equality)],[598]),
    [iquote('flip(598)')] ).

cnf(604,plain,
    equal(multiply(multiply(multiply(inverse(multiply(A,B)),A),B),C),C),
    inference(para,[status(thm),theory(equality)],[522,481]),
    [iquote('para(522,481)')] ).

cnf(605,plain,
    equal(inverse(inverse(A)),A),
    inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[481,522]),504]),
    [iquote('para(481,522),demod([504])')] ).

cnf(609,plain,
    equal(multiply(inverse(multiply(A,B)),A),inverse(B)),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[599]),605]),
    [iquote('back_demod(599),demod([605])')] ).

cnf(610,plain,
    equal(multiply(multiply(inverse(A),A),B),B),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[604]),609]),
    [iquote('back_demod(604),demod([609])')] ).

cnf(611,plain,
    $false,
    inference(conflict,[status(thm)],[610,2]),
    [iquote('conflict(610,2)')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem  : GRP434-1 : TPTP v8.1.0. Released v2.6.0.
% 0.12/0.13  % Command  : tptp2X_and_run_eqp %s
% 0.13/0.34  % Computer : n015.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Mon Jun 13 21:54:08 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.82/1.19  ----- EQP 0.9e, May 2009 -----
% 0.82/1.19  The job began on n015.cluster.edu, Mon Jun 13 21:54:09 2022
% 0.82/1.19  The command was "./eqp09e".
% 0.82/1.19  
% 0.82/1.19  set(prolog_style_variables).
% 0.82/1.19  set(lrpo).
% 0.82/1.19  set(basic_paramod).
% 0.82/1.19  set(functional_subsume).
% 0.82/1.19  set(ordered_paramod).
% 0.82/1.19  set(prime_paramod).
% 0.82/1.19  set(para_pairs).
% 0.82/1.19  assign(pick_given_ratio,4).
% 0.82/1.19  clear(print_kept).
% 0.82/1.19  clear(print_new_demod).
% 0.82/1.19  clear(print_back_demod).
% 0.82/1.19  clear(print_given).
% 0.82/1.19  assign(max_mem,64000).
% 0.82/1.19  end_of_commands.
% 0.82/1.19  
% 0.82/1.19  Usable:
% 0.82/1.19  end_of_list.
% 0.82/1.19  
% 0.82/1.19  Sos:
% 0.82/1.19  0 (wt=-1) [] inverse(multiply(multiply(multiply(inverse(multiply(multiply(A,B),C)),A),B),multiply(D,inverse(D)))) = C.
% 0.82/1.19  0 (wt=-1) [] -(multiply(multiply(inverse(b2),b2),a2) = a2).
% 0.82/1.19  end_of_list.
% 0.82/1.19  
% 0.82/1.19  Demodulators:
% 0.82/1.19  end_of_list.
% 0.82/1.19  
% 0.82/1.19  Passive:
% 0.82/1.19  end_of_list.
% 0.82/1.19  
% 0.82/1.19  Starting to process input.
% 0.82/1.19  
% 0.82/1.19  ** KEPT: 1 (wt=18) [] inverse(multiply(multiply(multiply(inverse(multiply(multiply(A,B),C)),A),B),multiply(D,inverse(D)))) = C.
% 0.82/1.19  1 is a new demodulator.
% 0.82/1.19  
% 0.82/1.19  ** KEPT: 2 (wt=8) [] -(multiply(multiply(inverse(b2),b2),a2) = a2).
% 0.82/1.19  ---------------- PROOF FOUND ----------------
% 0.82/1.19  % SZS status Unsatisfiable
% 0.82/1.19  
% 0.82/1.19  
% 0.82/1.19  After processing input:
% 0.82/1.19  
% 0.82/1.19  Usable:
% 0.82/1.19  end_of_list.
% 0.82/1.19  
% 0.82/1.19  Sos:
% 0.82/1.19  2 (wt=8) [] -(multiply(multiply(inverse(b2),b2),a2) = a2).
% 0.82/1.19  1 (wt=18) [] inverse(multiply(multiply(multiply(inverse(multiply(multiply(A,B),C)),A),B),multiply(D,inverse(D)))) = C.
% 0.82/1.19  end_of_list.
% 0.82/1.19  
% 0.82/1.19  Demodulators:
% 0.82/1.19  1 (wt=18) [] inverse(multiply(multiply(multiply(inverse(multiply(multiply(A,B),C)),A),B),multiply(D,inverse(D)))) = C.
% 0.82/1.19  end_of_list.
% 0.82/1.19  
% 0.82/1.19  Passive:
% 0.82/1.19  end_of_list.
% 0.82/1.19  
% 0.82/1.19  UNIT CONFLICT from 610 and 2 at   0.06 seconds.
% 0.82/1.19  
% 0.82/1.19  ---------------- PROOF ----------------
% 0.82/1.19  % SZS output start Refutation
% See solution above
% 0.82/1.19  ------------ end of proof -------------
% 0.82/1.19  
% 0.82/1.19  
% 0.82/1.19  ------------- memory usage ------------
% 0.82/1.19  Memory dynamically allocated (tp_alloc): 1953.
% 0.82/1.19    type (bytes each)        gets      frees     in use      avail      bytes
% 0.82/1.19  sym_ent (  96)               56          0         56          0      5.2 K
% 0.82/1.19  term (  16)               63251      42601      20650         51    401.9 K
% 0.82/1.19  gen_ptr (   8)           154390      30598     123792         62    967.6 K
% 0.82/1.19  context ( 808)            40370      40368          2          3      3.9 K
% 0.82/1.19  trail (  12)               5565       5565          0         15      0.2 K
% 0.82/1.19  bt_node (  68)             5954       5951          3         33      2.4 K
% 0.82/1.19  ac_position (285432)          0          0          0          0      0.0 K
% 0.82/1.19  ac_match_pos (14044)          0          0          0          0      0.0 K
% 0.82/1.19  ac_match_free_vars_pos (4020)
% 0.82/1.19                                0          0          0          0      0.0 K
% 0.82/1.19  discrim (  12)            13261      12090       1171       8118    108.9 K
% 0.82/1.19  flat (  40)              129961     129961          0         64      2.5 K
% 0.82/1.19  discrim_pos (  12)         1701       1701          0          1      0.0 K
% 0.82/1.19  fpa_head (  12)            3305          0       3305          0     38.7 K
% 0.82/1.19  fpa_tree (  28)            1514       1514          0         15      0.4 K
% 0.82/1.19  fpa_pos (  36)              839        839          0          1      0.0 K
% 0.82/1.19  literal (  12)             2759       2149        610          1      7.2 K
% 0.82/1.19  clause (  24)              2759       2149        610          1     14.3 K
% 0.82/1.19  list (  12)                 288        230         58          9      0.8 K
% 0.82/1.19  list_pos (  20)            3453       2624        829       1129     38.2 K
% 0.82/1.19  pair_index (   40)              2          0          2          0      0.1 K
% 0.82/1.19  
% 0.82/1.19  -------------- statistics -------------
% 0.82/1.19  Clauses input                  2
% 0.82/1.19    Usable input                   0
% 0.82/1.19    Sos input                      2
% 0.82/1.19    Demodulators input             0
% 0.82/1.19    Passive input                  0
% 0.82/1.19  
% 0.82/1.19  Processed BS (before search)   2
% 0.82/1.19  Forward subsumed BS            0
% 0.82/1.19  Kept BS                        2
% 0.82/1.19  New demodulators BS            1
% 0.82/1.19  Back demodulated BS            0
% 0.82/1.19  
% 0.82/1.19  Clauses or pairs given       542
% 0.82/1.19  Clauses generated           1351
% 0.82/1.19  Forward subsumed             743
% 0.82/1.19  Deleted by weight              0
% 0.82/1.19  Deleted by variable count      0
% 0.82/1.19  Kept                         608
% 0.82/1.19  New demodulators             228
% 0.82/1.19  Back demodulated             526
% 0.82/1.19  Ordered paramod prunes         0
% 0.82/1.19  Basic paramod prunes        3261
% 0.82/1.19  Prime paramod prunes           0
% 0.82/1.19  Semantic prunes                0
% 0.82/1.19  
% 0.82/1.19  Rewrite attmepts           28848
% 0.82/1.19  Rewrites                    1181
% 0.82/1.19  
% 0.82/1.19  FPA overloads                  0
% 0.82/1.19  FPA underloads                 0
% 0.82/1.19  
% 0.82/1.19  Usable size                    0
% 0.82/1.19  Sos size                      83
% 0.82/1.19  Demodulators size             28
% 0.82/1.19  Passive size                   0
% 0.82/1.19  Disabled size                526
% 0.82/1.19  
% 0.82/1.19  Proofs found                   1
% 0.82/1.19  
% 0.82/1.19  ----------- times (seconds) ----------- Mon Jun 13 21:54:09 2022
% 0.82/1.19  
% 0.82/1.19  user CPU time             0.06   (0 hr, 0 min, 0 sec)
% 0.82/1.19  system CPU time           0.03   (0 hr, 0 min, 0 sec)
% 0.82/1.19  wall-clock time           0      (0 hr, 0 min, 0 sec)
% 0.82/1.19  input time                0.00
% 0.82/1.19  paramodulation time       0.00
% 0.82/1.19  demodulation time         0.01
% 0.82/1.19  orient time               0.01
% 0.82/1.19  weigh time                0.00
% 0.82/1.19  forward subsume time      0.00
% 0.82/1.19  back demod find time      0.01
% 0.82/1.19  conflict time             0.00
% 0.82/1.19  LRPO time                 0.00
% 0.82/1.19  store clause time         0.02
% 0.82/1.19  disable clause time       0.00
% 0.82/1.19  prime paramod time        0.00
% 0.82/1.19  semantics time            0.00
% 0.82/1.19  
% 0.82/1.19  EQP interrupted
%------------------------------------------------------------------------------