TSTP Solution File: GRP416-1 by EQP---0.9e

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : EQP---0.9e
% Problem  : GRP416-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : tptp2X_and_run_eqp %s

% Computer : n007.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 08:46:44 EDT 2022

% Result   : Unsatisfiable 1.56s 1.97s
% Output   : Refutation 1.56s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   31
%            Number of leaves      :    2
% Syntax   : Number of clauses     :   54 (  54 unt;   0 nHn;   3 RR)
%            Number of literals    :   54 (   0 equ;   2 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :   18 (   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   :  177 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(1,plain,
    equal(inverse(multiply(A,inverse(multiply(inverse(multiply(inverse(multiply(B,A)),multiply(B,inverse(C)))),inverse(multiply(inverse(A),A)))))),C),
    file('GRP416-1.p',unknown),
    [] ).

cnf(2,plain,
    ~ equal(multiply(multiply(inverse(b2),b2),a2),a2),
    file('GRP416-1.p',unknown),
    [] ).

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

cnf(5,plain,
    equal(multiply(A,inverse(multiply(inverse(multiply(inverse(multiply(B,A)),multiply(B,inverse(C)))),inverse(multiply(inverse(A),A))))),inverse(multiply(D,inverse(multiply(inverse(multiply(inverse(multiply(E,D)),multiply(E,C))),inverse(multiply(inverse(D),D))))))),
    inference(flip,[status(thm),theory(equality)],[4]),
    [iquote('flip(4)')] ).

cnf(19,plain,
    equal(multiply(A,inverse(multiply(inverse(multiply(inverse(multiply(B,A)),multiply(B,inverse(inverse(C))))),inverse(multiply(inverse(A),A))))),C),
    inference(para,[status(thm),theory(equality)],[4,1]),
    [iquote('para(4,1)')] ).

cnf(22,plain,
    equal(inverse(multiply(A,inverse(multiply(inverse(multiply(inverse(multiply(B,A)),C)),inverse(multiply(inverse(A),A)))))),multiply(inverse(multiply(inverse(multiply(D,B)),multiply(D,inverse(inverse(C))))),inverse(multiply(inverse(B),B)))),
    inference(para,[status(thm),theory(equality)],[19,1]),
    [iquote('para(19,1)')] ).

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

cnf(35,plain,
    equal(multiply(inverse(multiply(inverse(multiply(A,B)),multiply(A,inverse(inverse(multiply(B,inverse(C))))))),inverse(multiply(inverse(B),B))),C),
    inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[1,22]),1]),
    [iquote('para(1,22),flip(1)')] ).

cnf(50,plain,
    equal(inverse(inverse(multiply(A,inverse(multiply(inverse(multiply(inverse(multiply(B,A)),multiply(B,C))),inverse(multiply(inverse(A),A))))))),C),
    inference(para,[status(thm),theory(equality)],[5,1]),
    [iquote('para(5,1)')] ).

cnf(65,plain,
    equal(inverse(multiply(A,inverse(inverse(multiply(B,inverse(multiply(inverse(multiply(inverse(multiply(A,B)),C)),inverse(multiply(inverse(B),B))))))))),inverse(C)),
    inference(para,[status(thm),theory(equality)],[23,1]),
    [iquote('para(23,1)')] ).

cnf(67,plain,
    equal(inverse(multiply(A,inverse(inverse(multiply(B,inverse(multiply(C,inverse(multiply(inverse(B),B))))))))),inverse(inverse(multiply(inverse(multiply(inverse(multiply(D,inverse(multiply(A,B)))),multiply(D,inverse(C)))),inverse(multiply(inverse(inverse(multiply(A,B))),inverse(multiply(A,B)))))))),
    inference(para,[status(thm),theory(equality)],[1,65]),
    [iquote('para(1,65)')] ).

cnf(111,plain,
    equal(inverse(multiply(inverse(multiply(inverse(multiply(A,B)),multiply(A,inverse(inverse(multiply(B,C)))))),inverse(multiply(inverse(B),B)))),C),
    inference(para,[status(thm),theory(equality)],[22,50]),
    [iquote('para(22,50)')] ).

cnf(511,plain,
    equal(inverse(inverse(multiply(inverse(multiply(inverse(multiply(A,inverse(multiply(B,C)))),multiply(A,inverse(inverse(multiply(inverse(multiply(D,C)),multiply(D,inverse(E)))))))),inverse(multiply(inverse(inverse(multiply(B,C))),inverse(multiply(B,C))))))),inverse(multiply(B,inverse(E)))),
    inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[1,67]),1]),
    [iquote('para(1,67),flip(1)')] ).

cnf(513,plain,
    equal(inverse(multiply(inverse(multiply(inverse(multiply(A,inverse(multiply(B,C)))),multiply(A,inverse(D)))),inverse(multiply(inverse(inverse(multiply(B,C))),inverse(multiply(B,C)))))),multiply(B,inverse(inverse(multiply(C,inverse(multiply(D,inverse(multiply(inverse(C),C))))))))),
    inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[67,1]),19]),
    [iquote('para(67,1),demod([19])')] ).

cnf(603,plain,
    equal(inverse(multiply(inverse(multiply(A,B)),multiply(A,inverse(inverse(multiply(B,inverse(multiply(C,inverse(multiply(inverse(B),B)))))))))),C),
    inference(para,[status(thm),theory(equality)],[513,1]),
    [iquote('para(513,1)')] ).

cnf(605,plain,
    equal(inverse(multiply(A,inverse(multiply(inverse(multiply(inverse(multiply(B,A)),multiply(B,C))),inverse(multiply(inverse(A),A)))))),multiply(inverse(multiply(D,E)),multiply(D,inverse(inverse(multiply(E,inverse(multiply(C,inverse(multiply(inverse(E),E)))))))))),
    inference(para,[status(thm),theory(equality)],[603,1]),
    [iquote('para(603,1)')] ).

cnf(653,plain,
    equal(multiply(inverse(multiply(A,B)),multiply(A,inverse(inverse(multiply(B,inverse(multiply(inverse(C),inverse(multiply(inverse(B),B))))))))),C),
    inference(para,[status(thm),theory(equality)],[605,1]),
    [iquote('para(605,1)')] ).

cnf(658,plain,
    equal(inverse(inverse(multiply(A,inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(B,C)),A)),D)),inverse(multiply(inverse(A),A))))))),multiply(B,inverse(inverse(multiply(C,inverse(multiply(inverse(D),inverse(multiply(inverse(C),C))))))))),
    inference(para,[status(thm),theory(equality)],[653,50]),
    [iquote('para(653,50)')] ).

cnf(821,plain,
    equal(inverse(inverse(multiply(multiply(A,inverse(inverse(multiply(B,inverse(multiply(C,inverse(multiply(inverse(B),B)))))))),inverse(multiply(inverse(multiply(C,D)),inverse(multiply(inverse(multiply(A,inverse(inverse(multiply(B,inverse(multiply(C,inverse(multiply(inverse(B),B))))))))),multiply(A,inverse(inverse(multiply(B,inverse(multiply(C,inverse(multiply(inverse(B),B))))))))))))))),multiply(A,inverse(inverse(multiply(B,inverse(multiply(inverse(D),inverse(multiply(inverse(B),B))))))))),
    inference(para,[status(thm),theory(equality)],[603,658]),
    [iquote('para(603,658)')] ).

cnf(899,plain,
    equal(inverse(multiply(inverse(multiply(inverse(multiply(A,inverse(multiply(B,C)))),multiply(A,inverse(inverse(multiply(inverse(multiply(D,C)),multiply(D,inverse(E)))))))),inverse(multiply(inverse(inverse(multiply(B,C))),inverse(multiply(B,C)))))),multiply(B,inverse(E))),
    inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[511,1]),1]),1]),
    [iquote('para(511,1),demod([1]),flip(1)')] ).

cnf(929,plain,
    equal(inverse(multiply(inverse(multiply(A,B)),multiply(A,inverse(C)))),inverse(multiply(inverse(multiply(D,B)),multiply(D,inverse(C))))),
    inference(para,[status(thm),theory(equality)],[899,1]),
    [iquote('para(899,1)')] ).

cnf(931,plain,
    equal(inverse(multiply(inverse(multiply(A,B)),multiply(A,C))),inverse(multiply(inverse(multiply(D,B)),multiply(D,C)))),
    inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[1,929]),1]),
    [iquote('para(1,929),demod([1])')] ).

cnf(942,plain,
    equal(multiply(inverse(multiply(A,B)),multiply(A,C)),multiply(inverse(multiply(D,B)),multiply(D,C))),
    inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[931,1]),1]),
    [iquote('para(931,1),demod([1])')] ).

cnf(961,plain,
    equal(inverse(inverse(multiply(multiply(A,B),inverse(multiply(inverse(multiply(inverse(multiply(C,multiply(A,B))),multiply(C,D))),inverse(multiply(inverse(multiply(E,B)),multiply(E,B)))))))),D),
    inference(para,[status(thm),theory(equality)],[942,50]),
    [iquote('para(942,50)')] ).

cnf(967,plain,
    equal(multiply(A,multiply(inverse(multiply(inverse(multiply(B,C)),multiply(B,inverse(inverse(multiply(C,A)))))),D)),multiply(inverse(multiply(E,inverse(multiply(inverse(C),C)))),multiply(E,D))),
    inference(para,[status(thm),theory(equality)],[111,942]),
    [iquote('para(111,942)')] ).

cnf(1324,plain,
    equal(inverse(inverse(multiply(multiply(A,inverse(inverse(multiply(B,inverse(multiply(C,inverse(multiply(inverse(B),B)))))))),inverse(multiply(inverse(multiply(C,multiply(inverse(multiply(A,B)),D))),inverse(multiply(inverse(multiply(E,inverse(inverse(multiply(B,inverse(multiply(C,inverse(multiply(inverse(B),B))))))))),multiply(E,inverse(inverse(multiply(B,inverse(multiply(C,inverse(multiply(inverse(B),B))))))))))))))),D),
    inference(para,[status(thm),theory(equality)],[603,961]),
    [iquote('para(603,961)')] ).

cnf(1330,plain,
    equal(multiply(inverse(A),A),multiply(inverse(multiply(B,inverse(multiply(inverse(C),C)))),multiply(B,inverse(multiply(inverse(C),C))))),
    inference(para,[status(thm),theory(equality)],[35,967]),
    [iquote('para(35,967)')] ).

cnf(1331,plain,
    equal(multiply(inverse(multiply(A,inverse(multiply(inverse(B),B)))),multiply(A,inverse(multiply(inverse(B),B)))),multiply(inverse(C),C)),
    inference(flip,[status(thm),theory(equality)],[1330]),
    [iquote('flip(1330)')] ).

cnf(1337,plain,
    equal(multiply(inverse(multiply(inverse(A),A)),multiply(inverse(multiply(B,inverse(multiply(inverse(C),C)))),D)),multiply(inverse(multiply(E,multiply(B,inverse(multiply(inverse(C),C))))),multiply(E,D))),
    inference(para,[status(thm),theory(equality)],[1331,942]),
    [iquote('para(1331,942)')] ).

cnf(1352,plain,
    equal(inverse(inverse(multiply(A,inverse(multiply(inverse(multiply(inverse(multiply(inverse(B),A)),multiply(inverse(multiply(C,inverse(multiply(inverse(D),D)))),multiply(C,inverse(multiply(inverse(D),D)))))),inverse(multiply(inverse(A),A))))))),B),
    inference(para,[status(thm),theory(equality)],[1330,50]),
    [iquote('para(1330,50)')] ).

cnf(1533,plain,
    equal(multiply(inverse(multiply(inverse(A),A)),multiply(inverse(B),B)),multiply(inverse(multiply(C,multiply(D,inverse(multiply(inverse(E),E))))),multiply(C,multiply(D,inverse(multiply(inverse(E),E)))))),
    inference(para,[status(thm),theory(equality)],[1331,1337]),
    [iquote('para(1331,1337)')] ).

cnf(1534,plain,
    equal(multiply(inverse(multiply(A,multiply(B,inverse(multiply(inverse(C),C))))),multiply(A,multiply(B,inverse(multiply(inverse(C),C))))),multiply(inverse(multiply(inverse(D),D)),multiply(inverse(E),E))),
    inference(flip,[status(thm),theory(equality)],[1533]),
    [iquote('flip(1533)')] ).

cnf(1576,plain,
    equal(multiply(inverse(multiply(inverse(A),A)),multiply(inverse(B),B)),multiply(inverse(multiply(C,inverse(multiply(inverse(D),D)))),multiply(C,inverse(multiply(inverse(D),D))))),
    inference(para,[status(thm),theory(equality)],[1534,1330]),
    [iquote('para(1534,1330)')] ).

cnf(1590,plain,
    equal(multiply(inverse(A),A),multiply(inverse(B),B)),
    inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[1576,50]),1352]),
    [iquote('para(1576,50),demod([1352])')] ).

cnf(1652,plain,
    equal(inverse(multiply(inverse(A),inverse(multiply(inverse(multiply(inverse(B),B)),inverse(multiply(inverse(inverse(A)),inverse(A))))))),A),
    inference(para,[status(thm),theory(equality)],[1590,1]),
    [iquote('para(1590,1)')] ).

cnf(1660,plain,
    equal(inverse(multiply(inverse(A),inverse(multiply(inverse(multiply(inverse(B),B)),inverse(multiply(inverse(C),C)))))),A),
    inference(para,[status(thm),theory(equality)],[1590,1652]),
    [iquote('para(1590,1652)')] ).

cnf(1982,plain,
    equal(inverse(multiply(inverse(A),multiply(inverse(B),B))),A),
    inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[1660,1660]),1660]),
    [iquote('para(1660,1660),demod([1660])')] ).

cnf(2022,plain,
    equal(inverse(multiply(inverse(A),A)),multiply(inverse(B),B)),
    inference(para,[status(thm),theory(equality)],[1590,1982]),
    [iquote('para(1590,1982)')] ).

cnf(2023,plain,
    equal(multiply(inverse(A),A),inverse(multiply(inverse(B),B))),
    inference(flip,[status(thm),theory(equality)],[2022]),
    [iquote('flip(2022)')] ).

cnf(2034,plain,
    equal(inverse(multiply(inverse(A),inverse(multiply(inverse(B),B)))),A),
    inference(para,[status(thm),theory(equality)],[2023,1982]),
    [iquote('para(2023,1982)')] ).

cnf(2444,plain,
    equal(inverse(inverse(multiply(multiply(A,inverse(inverse(multiply(B,inverse(multiply(C,inverse(multiply(inverse(B),B)))))))),multiply(C,multiply(inverse(multiply(A,B)),D))))),D),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1324]),2034]),
    [iquote('back_demod(1324),demod([2034])')] ).

cnf(2763,plain,
    equal(inverse(inverse(multiply(multiply(A,inverse(inverse(multiply(B,inverse(multiply(C,inverse(multiply(inverse(B),B)))))))),multiply(C,D)))),multiply(A,inverse(inverse(multiply(B,D))))),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[821]),2034,2034]),
    [iquote('back_demod(821),demod([2034,2034])')] ).

cnf(2764,plain,
    equal(multiply(A,inverse(inverse(multiply(B,multiply(inverse(multiply(A,B)),C))))),C),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[2444]),2763]),
    [iquote('back_demod(2444),demod([2763])')] ).

cnf(2930,plain,
    equal(multiply(inverse(multiply(A,B)),multiply(A,inverse(inverse(multiply(B,C))))),C),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[653]),2034]),
    [iquote('back_demod(653),demod([2034])')] ).

cnf(3558,plain,
    equal(inverse(inverse(multiply(inverse(A),A))),multiply(inverse(B),B)),
    inference(para,[status(thm),theory(equality)],[2023,1982]),
    [iquote('para(2023,1982)')] ).

cnf(3559,plain,
    equal(multiply(inverse(A),A),inverse(inverse(multiply(inverse(B),B)))),
    inference(flip,[status(thm),theory(equality)],[3558]),
    [iquote('flip(3558)')] ).

cnf(3566,plain,
    ~ equal(multiply(inverse(inverse(multiply(inverse(A),A))),a2),a2),
    inference(para,[status(thm),theory(equality)],[3559,2]),
    [iquote('para(3559,2)')] ).

cnf(3896,plain,
    equal(multiply(inverse(A),inverse(inverse(multiply(multiply(inverse(B),B),multiply(A,C))))),C),
    inference(para,[status(thm),theory(equality)],[1982,2764]),
    [iquote('para(1982,2764)')] ).

cnf(3900,plain,
    equal(multiply(inverse(A),inverse(inverse(multiply(A,multiply(inverse(inverse(multiply(inverse(B),B))),C))))),C),
    inference(para,[status(thm),theory(equality)],[2023,2764]),
    [iquote('para(2023,2764)')] ).

cnf(3903,plain,
    equal(multiply(inverse(inverse(inverse(multiply(A,B)))),A),inverse(B)),
    inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[2930,1982]),1]),
    [iquote('para(2930,1982),flip(1)')] ).

cnf(3906,plain,
    equal(inverse(inverse(multiply(multiply(inverse(A),A),B))),inverse(inverse(B))),
    inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[3903,1982]),1]),
    [iquote('para(3903,1982),flip(1)')] ).

cnf(3907,plain,
    equal(multiply(inverse(A),inverse(inverse(multiply(A,B)))),B),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[3896]),3906]),
    [iquote('back_demod(3896),demod([3906])')] ).

cnf(3908,plain,
    equal(multiply(inverse(inverse(multiply(inverse(A),A))),B),B),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[3900]),3907]),
    [iquote('back_demod(3900),demod([3907])')] ).

cnf(3909,plain,
    $false,
    inference(conflict,[status(thm)],[3908,3566]),
    [iquote('conflict(3908,3566)')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : GRP416-1 : TPTP v8.1.0. Released v2.6.0.
% 0.03/0.12  % Command  : tptp2X_and_run_eqp %s
% 0.12/0.33  % Computer : n007.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 : Tue Jun 14 13:03:09 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 1.56/1.97  ----- EQP 0.9e, May 2009 -----
% 1.56/1.97  The job began on n007.cluster.edu, Tue Jun 14 13:03:10 2022
% 1.56/1.97  The command was "./eqp09e".
% 1.56/1.97  
% 1.56/1.97  set(prolog_style_variables).
% 1.56/1.97  set(lrpo).
% 1.56/1.97  set(basic_paramod).
% 1.56/1.97  set(functional_subsume).
% 1.56/1.97  set(ordered_paramod).
% 1.56/1.97  set(prime_paramod).
% 1.56/1.97  set(para_pairs).
% 1.56/1.97  assign(pick_given_ratio,4).
% 1.56/1.97  clear(print_kept).
% 1.56/1.97  clear(print_new_demod).
% 1.56/1.97  clear(print_back_demod).
% 1.56/1.97  clear(print_given).
% 1.56/1.97  assign(max_mem,64000).
% 1.56/1.97  end_of_commands.
% 1.56/1.97  
% 1.56/1.97  Usable:
% 1.56/1.97  end_of_list.
% 1.56/1.97  
% 1.56/1.97  Sos:
% 1.56/1.97  0 (wt=-1) [] inverse(multiply(A,inverse(multiply(inverse(multiply(inverse(multiply(B,A)),multiply(B,inverse(C)))),inverse(multiply(inverse(A),A)))))) = C.
% 1.56/1.97  0 (wt=-1) [] -(multiply(multiply(inverse(b2),b2),a2) = a2).
% 1.56/1.97  end_of_list.
% 1.56/1.97  
% 1.56/1.97  Demodulators:
% 1.56/1.97  end_of_list.
% 1.56/1.97  
% 1.56/1.97  Passive:
% 1.56/1.97  end_of_list.
% 1.56/1.97  
% 1.56/1.97  Starting to process input.
% 1.56/1.97  
% 1.56/1.97  ** KEPT: 1 (wt=22) [] inverse(multiply(A,inverse(multiply(inverse(multiply(inverse(multiply(B,A)),multiply(B,inverse(C)))),inverse(multiply(inverse(A),A)))))) = C.
% 1.56/1.97  1 is a new demodulator.
% 1.56/1.97  
% 1.56/1.97  ** KEPT: 2 (wt=8) [] -(multiply(multiply(inverse(b2),b2),a2) = a2).
% 1.56/1.97  ---------------- PROOF FOUND ----------------
% 1.56/1.97  % SZS status Unsatisfiable
% 1.56/1.97  
% 1.56/1.97  
% 1.56/1.97  After processing input:
% 1.56/1.97  
% 1.56/1.97  Usable:
% 1.56/1.97  end_of_list.
% 1.56/1.97  
% 1.56/1.97  Sos:
% 1.56/1.97  2 (wt=8) [] -(multiply(multiply(inverse(b2),b2),a2) = a2).
% 1.56/1.97  1 (wt=22) [] inverse(multiply(A,inverse(multiply(inverse(multiply(inverse(multiply(B,A)),multiply(B,inverse(C)))),inverse(multiply(inverse(A),A)))))) = C.
% 1.56/1.97  end_of_list.
% 1.56/1.97  
% 1.56/1.97  Demodulators:
% 1.56/1.97  1 (wt=22) [] inverse(multiply(A,inverse(multiply(inverse(multiply(inverse(multiply(B,A)),multiply(B,inverse(C)))),inverse(multiply(inverse(A),A)))))) = C.
% 1.56/1.97  end_of_list.
% 1.56/1.97  
% 1.56/1.97  Passive:
% 1.56/1.97  end_of_list.
% 1.56/1.97  
% 1.56/1.97  UNIT CONFLICT from 3908 and 3566 at   0.79 seconds.
% 1.56/1.97  
% 1.56/1.97  ---------------- PROOF ----------------
% 1.56/1.97  % SZS output start Refutation
% See solution above
% 1.56/1.97  ------------ end of proof -------------
% 1.56/1.97  
% 1.56/1.97  
% 1.56/1.97  ------------- memory usage ------------
% 1.56/1.97  Memory dynamically allocated (tp_alloc): 33691.
% 1.56/1.97    type (bytes each)        gets      frees     in use      avail      bytes
% 1.56/1.97  sym_ent (  96)               55          0         55          0      5.2 K
% 1.56/1.97  term (  16)             1082025     692208     389817         70   7599.7 K
% 1.56/1.97  gen_ptr (   8)          3255492     323328    2932164         53  22907.9 K
% 1.56/1.97  context ( 808)           688078     688076          2          3      3.9 K
% 1.56/1.97  trail (  12)              50039      50039          0         12      0.1 K
% 1.56/1.97  bt_node (  68)            70781      70777          4        204     13.8 K
% 1.56/1.97  ac_position (285432)          0          0          0          0      0.0 K
% 1.56/1.97  ac_match_pos (14044)          0          0          0          0      0.0 K
% 1.56/1.97  ac_match_free_vars_pos (4020)
% 1.56/1.97                                0          0          0          0      0.0 K
% 1.56/1.97  discrim (  12)           277088     193172      83916      93870   2083.4 K
% 1.56/1.97  flat (  40)             5195678    5195678          0        716     28.0 K
% 1.56/1.97  discrim_pos (  12)        16789      16789          0          1      0.0 K
% 1.56/1.97  fpa_head (  12)            9070          0       9070          0    106.3 K
% 1.56/1.97  fpa_tree (  28)           11806      11806          0         33      0.9 K
% 1.56/1.97  fpa_pos (  36)             4640       4640          0          1      0.0 K
% 1.56/1.97  literal (  12)            16036      12128       3908          1     45.8 K
% 1.56/1.97  clause (  24)             16036      12128       3908          1     91.6 K
% 1.56/1.97  list (  12)                 791        733         58          2      0.7 K
% 1.56/1.97  list_pos (  20)           16527       8179       8348          4    163.1 K
% 1.56/1.97  pair_index (   40)              2          0          2          0      0.1 K
% 1.56/1.97  
% 1.56/1.97  -------------- statistics -------------
% 1.56/1.97  Clauses input                  2
% 1.56/1.97    Usable input                   0
% 1.56/1.97    Sos input                      2
% 1.56/1.97    Demodulators input             0
% 1.56/1.97    Passive input                  0
% 1.56/1.97  
% 1.56/1.97  Processed BS (before search)   2
% 1.56/1.97  Forward subsumed BS            0
% 1.56/1.97  Kept BS                        2
% 1.56/1.97  New demodulators BS            1
% 1.56/1.97  Back demodulated BS            0
% 1.56/1.97  
% 1.56/1.97  Clauses or pairs given      3759
% 1.56/1.97  Clauses generated           8141
% 1.56/1.97  Forward subsumed            4235
% 1.56/1.97  Deleted by weight              0
% 1.56/1.97  Deleted by variable count      0
% 1.56/1.97  Kept                        3906
% 1.56/1.97  New demodulators             731
% 1.56/1.97  Back demodulated            1841
% 1.56/1.97  Ordered paramod prunes         0
% 1.56/1.97  Basic paramod prunes       52957
% 1.56/1.97  Prime paramod prunes          13
% 1.56/1.97  Semantic prunes                0
% 1.56/1.97  
% 1.56/1.97  Rewrite attmepts          575627
% 1.56/1.97  Rewrites                   13250
% 1.56/1.97  
% 1.56/1.97  FPA overloads                  0
% 1.56/1.97  FPA underloads                 0
% 1.56/1.97  
% 1.56/1.97  Usable size                    0
% 1.56/1.97  Sos size                    2066
% 1.56/1.97  Demodulators size            303
% 1.56/1.97  Passive size                   0
% 1.56/1.97  Disabled size               1841
% 1.56/1.97  
% 1.56/1.97  Proofs found                   1
% 1.56/1.97  
% 1.56/1.97  ----------- times (seconds) ----------- Tue Jun 14 13:03:11 2022
% 1.56/1.97  
% 1.56/1.97  user CPU time             0.79   (0 hr, 0 min, 0 sec)
% 1.56/1.97  system CPU time           0.11   (0 hr, 0 min, 0 sec)
% 1.56/1.97  wall-clock time           1      (0 hr, 0 min, 1 sec)
% 1.56/1.97  input time                0.00
% 1.56/1.97  paramodulation time       0.04
% 1.56/1.97  demodulation time         0.15
% 1.56/1.97  orient time               0.03
% 1.56/1.97  weigh time                0.01
% 1.56/1.97  forward subsume time      0.03
% 1.56/1.97  back demod find time      0.04
% 1.56/1.97  conflict time             0.01
% 1.56/1.97  LRPO time                 0.02
% 1.56/1.97  store clause time         0.35
% 1.56/1.97  disable clause time       0.06
% 1.56/1.97  prime paramod time        0.02
% 1.56/1.97  semantics time            0.00
% 1.56/1.97  
% 1.56/1.97  EQP interrupted
%------------------------------------------------------------------------------