TSTP Solution File: ALG094+1 by ConnectPP---0.3.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ConnectPP---0.3.0
% Problem  : ALG094+1 : TPTP v8.1.2. Released v2.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s

% Computer : n013.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Mon Mar 25 13:58:56 EDT 2024

% Result   : Theorem 0.99s 1.20s
% Output   : Proof 0.99s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : ALG094+1 : TPTP v8.1.2. Released v2.7.0.
% 0.06/0.12  % Command  : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.13/0.33  % Computer : n013.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 300
% 0.13/0.33  % DateTime : Thu Mar 21 02:42:18 EDT 2024
% 0.13/0.34  % CPUTime  : 
% 0.99/1.20  % SZS status Theorem for theBenchmark
% 0.99/1.20  % SZS output start Proof for theBenchmark
% 0.99/1.20  
% 0.99/1.20  % Formula: ax1 ( axiom ) converted to clauses:
% 0.99/1.20  cnf(ax1-1, axiom, ( ( e0 != e1) )).
% 0.99/1.20  cnf(ax1-2, axiom, ( ( e0 != e2) )).
% 0.99/1.20  cnf(ax1-3, axiom, ( ( e0 != e3) )).
% 0.99/1.20  cnf(ax1-4, axiom, ( ( e0 != e4) )).
% 0.99/1.20  cnf(ax1-5, axiom, ( ( e1 != e2) )).
% 0.99/1.20  cnf(ax1-6, axiom, ( ( e1 != e3) )).
% 0.99/1.20  cnf(ax1-7, axiom, ( ( e1 != e4) )).
% 0.99/1.20  cnf(ax1-8, axiom, ( ( e2 != e3) )).
% 0.99/1.20  cnf(ax1-9, axiom, ( ( e2 != e4) )).
% 0.99/1.20  cnf(ax1-10, axiom, ( ( e3 != e4) )).
% 0.99/1.20  
% 0.99/1.20  % Formula: ax2 ( axiom ) converted to clauses:
% 0.99/1.20  cnf(ax2-1, axiom, ( ( op(e0, e0) = e0) )).
% 0.99/1.20  cnf(ax2-2, axiom, ( ( op(e0, e1) = e1) )).
% 0.99/1.20  cnf(ax2-3, axiom, ( ( op(e0, e2) = e2) )).
% 0.99/1.20  cnf(ax2-4, axiom, ( ( op(e0, e3) = e3) )).
% 0.99/1.20  cnf(ax2-5, axiom, ( ( op(e0, e4) = e4) )).
% 0.99/1.20  cnf(ax2-6, axiom, ( ( op(e1, e0) = e1) )).
% 0.99/1.20  cnf(ax2-7, axiom, ( ( op(e1, e1) = e2) )).
% 0.99/1.20  cnf(ax2-8, axiom, ( ( op(e1, e2) = e3) )).
% 0.99/1.20  cnf(ax2-9, axiom, ( ( op(e1, e3) = e4) )).
% 0.99/1.20  cnf(ax2-10, axiom, ( ( op(e1, e4) = e0) )).
% 0.99/1.20  cnf(ax2-11, axiom, ( ( op(e2, e0) = e2) )).
% 0.99/1.20  cnf(ax2-12, axiom, ( ( op(e2, e1) = e4) )).
% 0.99/1.20  cnf(ax2-13, axiom, ( ( op(e2, e2) = e1) )).
% 0.99/1.20  cnf(ax2-14, axiom, ( ( op(e2, e3) = e0) )).
% 0.99/1.20  cnf(ax2-15, axiom, ( ( op(e2, e4) = e3) )).
% 0.99/1.20  cnf(ax2-16, axiom, ( ( op(e3, e0) = e3) )).
% 0.99/1.20  cnf(ax2-17, axiom, ( ( op(e3, e1) = e0) )).
% 0.99/1.20  cnf(ax2-18, axiom, ( ( op(e3, e2) = e4) )).
% 0.99/1.20  cnf(ax2-19, axiom, ( ( op(e3, e3) = e1) )).
% 0.99/1.20  cnf(ax2-20, axiom, ( ( op(e3, e4) = e2) )).
% 0.99/1.20  cnf(ax2-21, axiom, ( ( op(e4, e0) = e4) )).
% 0.99/1.20  cnf(ax2-22, axiom, ( ( op(e4, e1) = e3) )).
% 0.99/1.20  cnf(ax2-23, axiom, ( ( op(e4, e2) = e0) )).
% 0.99/1.20  cnf(ax2-24, axiom, ( ( op(e4, e3) = e2) )).
% 0.99/1.20  cnf(ax2-25, axiom, ( ( op(e4, e4) = e1) )).
% 0.99/1.20  
% 0.99/1.20  % Formula: ax3 ( axiom ) converted to clauses:
% 0.99/1.20  cnf(ax3-1, axiom, ( ( unit = e0) )).
% 0.99/1.20  
% 0.99/1.20  % Formula: co1 ( conjecture ) (definitionally) converted to clauses:
% 0.99/1.20  cnf(co1-1, negated_conjecture, ( ~_def0 | ~_def1 | ~_def2 | ~_def3 | ~_def4 | ~_def5 | ~_def6 | ~_def7 | ~_def8 | ~_def9 | ~_def10 | ~_def11 | ~_def12 | ~_def13 | ~_def14 | ~_def15 | ~_def16 | ~_def17 | ~_def18 | ~_def19 | ~_def20 | ~_def21 | ~_def22 | ~_def23 | ~_def24 | ~_def25 | ( op(unit, e0) != e0) | ( op(e0, unit) != e0) | ( op(unit, e1) != e1) | ( op(e1, unit) != e1) | ( op(unit, e2) != e2) | ( op(e2, unit) != e2) | ( op(unit, e3) != e3) | ( op(e3, unit) != e3) | ( op(unit, e4) != e4) | ( op(e4, unit) != e4) | ~_def26 | ~_def27 | ~_def28 | ~_def29 | ~_def30 | ~_def31 | ~_def32 | ~_def33 | ~_def34 | ~_def35 | ~_def36 | ~_def37 | ~_def38 | ~_def39 | ~_def40 | ~_def41 | ~_def42 | ~_def43 | ~_def44 | ~_def45 | ~_def46 | ~_def47 | ~_def48 | ~_def49 | ~_def50 | ~_def51 | ~_def52 | ~_def53 | ~_def54 | ~_def55 | ~_def56 | ~_def57 | ~_def58 | ~_def59 | ~_def60 | ~_def61 | ~_def62 | ~_def63 | ~_def64 | ~_def65 | ~_def66 | ~_def67 | ~_def68 | ~_def69 | ~_def70 | ~_def71 | ~_def72 | ~_def73 | ~_def74 | ~_def75 | ~_def76 )).
% 0.99/1.20  cnf(co1-2, negated_conjecture, ( _def0 | ( op(e0, e0) != e1) | ( op(e1, e1) != e0) | ( op(e0, e1) = e0) )).
% 0.99/1.20  cnf(co1-3, negated_conjecture, ( _def0 | ( op(e0, e0) != e2) | ( op(e2, e2) != e0) | ( op(e0, e2) = e0) )).
% 0.99/1.20  cnf(co1-4, negated_conjecture, ( _def0 | ( op(e0, e0) != e3) | ( op(e3, e3) != e0) | ( op(e0, e3) = e0) )).
% 0.99/1.20  cnf(co1-5, negated_conjecture, ( _def0 | ( op(e0, e0) != e4) | ( op(e4, e4) != e0) | ( op(e0, e4) = e0) )).
% 0.99/1.20  cnf(co1-6, negated_conjecture, ( _def0 | ( op(e1, e1) != e0) | ( op(e0, e0) != e1) | ( op(e1, e0) = e1) )).
% 0.99/1.20  cnf(co1-7, negated_conjecture, ( _def0 | ( op(e1, e1) != e2) | ( op(e2, e2) != e1) | ( op(e1, e2) = e1) )).
% 0.99/1.20  cnf(co1-8, negated_conjecture, ( _def0 | ( op(e1, e1) != e3) | ( op(e3, e3) != e1) | ( op(e1, e3) = e1) )).
% 0.99/1.20  cnf(co1-9, negated_conjecture, ( _def0 | ( op(e1, e1) != e4) | ( op(e4, e4) != e1) | ( op(e1, e4) = e1) )).
% 0.99/1.20  cnf(co1-10, negated_conjecture, ( _def0 | ( op(e2, e2) != e0) | ( op(e0, e0) != e2) | ( op(e2, e0) = e2) )).
% 0.99/1.20  cnf(co1-11, negated_conjecture, ( _def0 | ( op(e2, e2) != e1) | ( op(e1, e1) != e2) | ( op(e2, e1) = e2) )).
% 0.99/1.20  cnf(co1-12, negated_conjecture, ( _def0 | ( op(e2, e2) != e3) | ( op(e3, e3) != e2) | ( op(e2, e3) = e2) )).
% 0.99/1.20  cnf(co1-13, negated_conjecture, ( _def0 | ( op(e2, e2) != e4) | ( op(e4, e4) != e2) | ( op(e2, e4) = e2) )).
% 0.99/1.20  cnf(co1-14, negated_conjecture, ( _def0 | ( op(e3, e3) != e0) | ( op(e0, e0) != e3) | ( op(e3, e0) = e3) )).
% 0.99/1.20  cnf(co1-15, negated_conjecture, ( _def0 | ( op(e3, e3) != e1) | ( op(e1, e1) != e3) | ( op(e3, e1) = e3) )).
% 0.99/1.20  cnf(co1-16, negated_conjecture, ( _def0 | ( op(e3, e3) != e2) | ( op(e2, e2) != e3) | ( op(e3, e2) = e3) )).
% 0.99/1.20  cnf(co1-17, negated_conjecture, ( _def0 | ( op(e3, e3) != e4) | ( op(e4, e4) != e3) | ( op(e3, e4) = e3) )).
% 0.99/1.20  cnf(co1-18, negated_conjecture, ( _def0 | ( op(e4, e4) != e0) | ( op(e0, e0) != e4) | ( op(e4, e0) = e4) )).
% 0.99/1.20  cnf(co1-19, negated_conjecture, ( _def0 | ( op(e4, e4) != e1) | ( op(e1, e1) != e4) | ( op(e4, e1) = e4) )).
% 0.99/1.20  cnf(co1-20, negated_conjecture, ( _def0 | ( op(e4, e4) != e2) | ( op(e2, e2) != e4) | ( op(e4, e2) = e4) )).
% 0.99/1.20  cnf(co1-21, negated_conjecture, ( _def0 | ( op(e4, e4) != e3) | ( op(e3, e3) != e4) | ( op(e4, e3) = e4) )).
% 0.99/1.20  cnf(co1-22, negated_conjecture, ( _def1 | ( op(e0, e0) != e0) )).
% 0.99/1.20  cnf(co1-23, negated_conjecture, ( _def1 | ( op(e0, e0) != e1) )).
% 0.99/1.20  cnf(co1-24, negated_conjecture, ( _def1 | ( op(e0, e0) != e2) )).
% 0.99/1.20  cnf(co1-25, negated_conjecture, ( _def1 | ( op(e0, e0) != e3) )).
% 0.99/1.20  cnf(co1-26, negated_conjecture, ( _def1 | ( op(e0, e0) != e4) )).
% 0.99/1.20  cnf(co1-27, negated_conjecture, ( _def2 | ( op(e0, e1) != e0) )).
% 0.99/1.20  cnf(co1-28, negated_conjecture, ( _def2 | ( op(e0, e1) != e1) )).
% 0.99/1.20  cnf(co1-29, negated_conjecture, ( _def2 | ( op(e0, e1) != e2) )).
% 0.99/1.20  cnf(co1-30, negated_conjecture, ( _def2 | ( op(e0, e1) != e3) )).
% 0.99/1.20  cnf(co1-31, negated_conjecture, ( _def2 | ( op(e0, e1) != e4) )).
% 0.99/1.20  cnf(co1-32, negated_conjecture, ( _def3 | ( op(e0, e2) != e0) )).
% 0.99/1.20  cnf(co1-33, negated_conjecture, ( _def3 | ( op(e0, e2) != e1) )).
% 0.99/1.20  cnf(co1-34, negated_conjecture, ( _def3 | ( op(e0, e2) != e2) )).
% 0.99/1.20  cnf(co1-35, negated_conjecture, ( _def3 | ( op(e0, e2) != e3) )).
% 0.99/1.20  cnf(co1-36, negated_conjecture, ( _def3 | ( op(e0, e2) != e4) )).
% 0.99/1.20  cnf(co1-37, negated_conjecture, ( _def4 | ( op(e0, e3) != e0) )).
% 0.99/1.20  cnf(co1-38, negated_conjecture, ( _def4 | ( op(e0, e3) != e1) )).
% 0.99/1.20  cnf(co1-39, negated_conjecture, ( _def4 | ( op(e0, e3) != e2) )).
% 0.99/1.20  cnf(co1-40, negated_conjecture, ( _def4 | ( op(e0, e3) != e3) )).
% 0.99/1.20  cnf(co1-41, negated_conjecture, ( _def4 | ( op(e0, e3) != e4) )).
% 0.99/1.20  cnf(co1-42, negated_conjecture, ( _def5 | ( op(e0, e4) != e0) )).
% 0.99/1.20  cnf(co1-43, negated_conjecture, ( _def5 | ( op(e0, e4) != e1) )).
% 0.99/1.20  cnf(co1-44, negated_conjecture, ( _def5 | ( op(e0, e4) != e2) )).
% 0.99/1.20  cnf(co1-45, negated_conjecture, ( _def5 | ( op(e0, e4) != e3) )).
% 0.99/1.20  cnf(co1-46, negated_conjecture, ( _def5 | ( op(e0, e4) != e4) )).
% 0.99/1.20  cnf(co1-47, negated_conjecture, ( _def6 | ( op(e1, e0) != e0) )).
% 0.99/1.20  cnf(co1-48, negated_conjecture, ( _def6 | ( op(e1, e0) != e1) )).
% 0.99/1.20  cnf(co1-49, negated_conjecture, ( _def6 | ( op(e1, e0) != e2) )).
% 0.99/1.20  cnf(co1-50, negated_conjecture, ( _def6 | ( op(e1, e0) != e3) )).
% 0.99/1.20  cnf(co1-51, negated_conjecture, ( _def6 | ( op(e1, e0) != e4) )).
% 0.99/1.20  cnf(co1-52, negated_conjecture, ( _def7 | ( op(e1, e1) != e0) )).
% 0.99/1.20  cnf(co1-53, negated_conjecture, ( _def7 | ( op(e1, e1) != e1) )).
% 0.99/1.20  cnf(co1-54, negated_conjecture, ( _def7 | ( op(e1, e1) != e2) )).
% 0.99/1.20  cnf(co1-55, negated_conjecture, ( _def7 | ( op(e1, e1) != e3) )).
% 0.99/1.20  cnf(co1-56, negated_conjecture, ( _def7 | ( op(e1, e1) != e4) )).
% 0.99/1.20  cnf(co1-57, negated_conjecture, ( _def8 | ( op(e1, e2) != e0) )).
% 0.99/1.20  cnf(co1-58, negated_conjecture, ( _def8 | ( op(e1, e2) != e1) )).
% 0.99/1.20  cnf(co1-59, negated_conjecture, ( _def8 | ( op(e1, e2) != e2) )).
% 0.99/1.20  cnf(co1-60, negated_conjecture, ( _def8 | ( op(e1, e2) != e3) )).
% 0.99/1.20  cnf(co1-61, negated_conjecture, ( _def8 | ( op(e1, e2) != e4) )).
% 0.99/1.20  cnf(co1-62, negated_conjecture, ( _def9 | ( op(e1, e3) != e0) )).
% 0.99/1.20  cnf(co1-63, negated_conjecture, ( _def9 | ( op(e1, e3) != e1) )).
% 0.99/1.20  cnf(co1-64, negated_conjecture, ( _def9 | ( op(e1, e3) != e2) )).
% 0.99/1.20  cnf(co1-65, negated_conjecture, ( _def9 | ( op(e1, e3) != e3) )).
% 0.99/1.20  cnf(co1-66, negated_conjecture, ( _def9 | ( op(e1, e3) != e4) )).
% 0.99/1.20  cnf(co1-67, negated_conjecture, ( _def10 | ( op(e1, e4) != e0) )).
% 0.99/1.20  cnf(co1-68, negated_conjecture, ( _def10 | ( op(e1, e4) != e1) )).
% 0.99/1.20  cnf(co1-69, negated_conjecture, ( _def10 | ( op(e1, e4) != e2) )).
% 0.99/1.20  cnf(co1-70, negated_conjecture, ( _def10 | ( op(e1, e4) != e3) )).
% 0.99/1.20  cnf(co1-71, negated_conjecture, ( _def10 | ( op(e1, e4) != e4) )).
% 0.99/1.20  cnf(co1-72, negated_conjecture, ( _def11 | ( op(e2, e0) != e0) )).
% 0.99/1.20  cnf(co1-73, negated_conjecture, ( _def11 | ( op(e2, e0) != e1) )).
% 0.99/1.20  cnf(co1-74, negated_conjecture, ( _def11 | ( op(e2, e0) != e2) )).
% 0.99/1.20  cnf(co1-75, negated_conjecture, ( _def11 | ( op(e2, e0) != e3) )).
% 0.99/1.20  cnf(co1-76, negated_conjecture, ( _def11 | ( op(e2, e0) != e4) )).
% 0.99/1.20  cnf(co1-77, negated_conjecture, ( _def12 | ( op(e2, e1) != e0) )).
% 0.99/1.20  cnf(co1-78, negated_conjecture, ( _def12 | ( op(e2, e1) != e1) )).
% 0.99/1.20  cnf(co1-79, negated_conjecture, ( _def12 | ( op(e2, e1) != e2) )).
% 0.99/1.20  cnf(co1-80, negated_conjecture, ( _def12 | ( op(e2, e1) != e3) )).
% 0.99/1.20  cnf(co1-81, negated_conjecture, ( _def12 | ( op(e2, e1) != e4) )).
% 0.99/1.20  cnf(co1-82, negated_conjecture, ( _def13 | ( op(e2, e2) != e0) )).
% 0.99/1.20  cnf(co1-83, negated_conjecture, ( _def13 | ( op(e2, e2) != e1) )).
% 0.99/1.20  cnf(co1-84, negated_conjecture, ( _def13 | ( op(e2, e2) != e2) )).
% 0.99/1.20  cnf(co1-85, negated_conjecture, ( _def13 | ( op(e2, e2) != e3) )).
% 0.99/1.20  cnf(co1-86, negated_conjecture, ( _def13 | ( op(e2, e2) != e4) )).
% 0.99/1.20  cnf(co1-87, negated_conjecture, ( _def14 | ( op(e2, e3) != e0) )).
% 0.99/1.20  cnf(co1-88, negated_conjecture, ( _def14 | ( op(e2, e3) != e1) )).
% 0.99/1.20  cnf(co1-89, negated_conjecture, ( _def14 | ( op(e2, e3) != e2) )).
% 0.99/1.20  cnf(co1-90, negated_conjecture, ( _def14 | ( op(e2, e3) != e3) )).
% 0.99/1.20  cnf(co1-91, negated_conjecture, ( _def14 | ( op(e2, e3) != e4) )).
% 0.99/1.20  cnf(co1-92, negated_conjecture, ( _def15 | ( op(e2, e4) != e0) )).
% 0.99/1.20  cnf(co1-93, negated_conjecture, ( _def15 | ( op(e2, e4) != e1) )).
% 0.99/1.20  cnf(co1-94, negated_conjecture, ( _def15 | ( op(e2, e4) != e2) )).
% 0.99/1.20  cnf(co1-95, negated_conjecture, ( _def15 | ( op(e2, e4) != e3) )).
% 0.99/1.20  cnf(co1-96, negated_conjecture, ( _def15 | ( op(e2, e4) != e4) )).
% 0.99/1.20  cnf(co1-97, negated_conjecture, ( _def16 | ( op(e3, e0) != e0) )).
% 0.99/1.20  cnf(co1-98, negated_conjecture, ( _def16 | ( op(e3, e0) != e1) )).
% 0.99/1.20  cnf(co1-99, negated_conjecture, ( _def16 | ( op(e3, e0) != e2) )).
% 0.99/1.20  cnf(co1-100, negated_conjecture, ( _def16 | ( op(e3, e0) != e3) )).
% 0.99/1.20  cnf(co1-101, negated_conjecture, ( _def16 | ( op(e3, e0) != e4) )).
% 0.99/1.20  cnf(co1-102, negated_conjecture, ( _def17 | ( op(e3, e1) != e0) )).
% 0.99/1.20  cnf(co1-103, negated_conjecture, ( _def17 | ( op(e3, e1) != e1) )).
% 0.99/1.20  cnf(co1-104, negated_conjecture, ( _def17 | ( op(e3, e1) != e2) )).
% 0.99/1.20  cnf(co1-105, negated_conjecture, ( _def17 | ( op(e3, e1) != e3) )).
% 0.99/1.20  cnf(co1-106, negated_conjecture, ( _def17 | ( op(e3, e1) != e4) )).
% 0.99/1.20  cnf(co1-107, negated_conjecture, ( _def18 | ( op(e3, e2) != e0) )).
% 0.99/1.20  cnf(co1-108, negated_conjecture, ( _def18 | ( op(e3, e2) != e1) )).
% 0.99/1.20  cnf(co1-109, negated_conjecture, ( _def18 | ( op(e3, e2) != e2) )).
% 0.99/1.20  cnf(co1-110, negated_conjecture, ( _def18 | ( op(e3, e2) != e3) )).
% 0.99/1.20  cnf(co1-111, negated_conjecture, ( _def18 | ( op(e3, e2) != e4) )).
% 0.99/1.20  cnf(co1-112, negated_conjecture, ( _def19 | ( op(e3, e3) != e0) )).
% 0.99/1.20  cnf(co1-113, negated_conjecture, ( _def19 | ( op(e3, e3) != e1) )).
% 0.99/1.20  cnf(co1-114, negated_conjecture, ( _def19 | ( op(e3, e3) != e2) )).
% 0.99/1.20  cnf(co1-115, negated_conjecture, ( _def19 | ( op(e3, e3) != e3) )).
% 0.99/1.20  cnf(co1-116, negated_conjecture, ( _def19 | ( op(e3, e3) != e4) )).
% 0.99/1.20  cnf(co1-117, negated_conjecture, ( _def20 | ( op(e3, e4) != e0) )).
% 0.99/1.20  cnf(co1-118, negated_conjecture, ( _def20 | ( op(e3, e4) != e1) )).
% 0.99/1.20  cnf(co1-119, negated_conjecture, ( _def20 | ( op(e3, e4) != e2) )).
% 0.99/1.20  cnf(co1-120, negated_conjecture, ( _def20 | ( op(e3, e4) != e3) )).
% 0.99/1.20  cnf(co1-121, negated_conjecture, ( _def20 | ( op(e3, e4) != e4) )).
% 0.99/1.20  cnf(co1-122, negated_conjecture, ( _def21 | ( op(e4, e0) != e0) )).
% 0.99/1.20  cnf(co1-123, negated_conjecture, ( _def21 | ( op(e4, e0) != e1) )).
% 0.99/1.20  cnf(co1-124, negated_conjecture, ( _def21 | ( op(e4, e0) != e2) )).
% 0.99/1.20  cnf(co1-125, negated_conjecture, ( _def21 | ( op(e4, e0) != e3) )).
% 0.99/1.20  cnf(co1-126, negated_conjecture, ( _def21 | ( op(e4, e0) != e4) )).
% 0.99/1.20  cnf(co1-127, negated_conjecture, ( _def22 | ( op(e4, e1) != e0) )).
% 0.99/1.20  cnf(co1-128, negated_conjecture, ( _def22 | ( op(e4, e1) != e1) )).
% 0.99/1.20  cnf(co1-129, negated_conjecture, ( _def22 | ( op(e4, e1) != e2) )).
% 0.99/1.20  cnf(co1-130, negated_conjecture, ( _def22 | ( op(e4, e1) != e3) )).
% 0.99/1.20  cnf(co1-131, negated_conjecture, ( _def22 | ( op(e4, e1) != e4) )).
% 0.99/1.20  cnf(co1-132, negated_conjecture, ( _def23 | ( op(e4, e2) != e0) )).
% 0.99/1.20  cnf(co1-133, negated_conjecture, ( _def23 | ( op(e4, e2) != e1) )).
% 0.99/1.20  cnf(co1-134, negated_conjecture, ( _def23 | ( op(e4, e2) != e2) )).
% 0.99/1.20  cnf(co1-135, negated_conjecture, ( _def23 | ( op(e4, e2) != e3) )).
% 0.99/1.20  cnf(co1-136, negated_conjecture, ( _def23 | ( op(e4, e2) != e4) )).
% 0.99/1.20  cnf(co1-137, negated_conjecture, ( _def24 | ( op(e4, e3) != e0) )).
% 0.99/1.20  cnf(co1-138, negated_conjecture, ( _def24 | ( op(e4, e3) != e1) )).
% 0.99/1.20  cnf(co1-139, negated_conjecture, ( _def24 | ( op(e4, e3) != e2) )).
% 0.99/1.20  cnf(co1-140, negated_conjecture, ( _def24 | ( op(e4, e3) != e3) )).
% 0.99/1.20  cnf(co1-141, negated_conjecture, ( _def24 | ( op(e4, e3) != e4) )).
% 0.99/1.20  cnf(co1-142, negated_conjecture, ( _def25 | ( op(e4, e4) != e0) )).
% 0.99/1.20  cnf(co1-143, negated_conjecture, ( _def25 | ( op(e4, e4) != e1) )).
% 0.99/1.20  cnf(co1-144, negated_conjecture, ( _def25 | ( op(e4, e4) != e2) )).
% 0.99/1.20  cnf(co1-145, negated_conjecture, ( _def25 | ( op(e4, e4) != e3) )).
% 0.99/1.20  cnf(co1-146, negated_conjecture, ( _def25 | ( op(e4, e4) != e4) )).
% 0.99/1.20  cnf(co1-147, negated_conjecture, ( _def26 | ( unit != e0) )).
% 0.99/1.20  cnf(co1-148, negated_conjecture, ( _def26 | ( unit != e1) )).
% 0.99/1.20  cnf(co1-149, negated_conjecture, ( _def26 | ( unit != e2) )).
% 0.99/1.20  cnf(co1-150, negated_conjecture, ( _def26 | ( unit != e3) )).
% 0.99/1.20  cnf(co1-151, negated_conjecture, ( _def26 | ( unit != e4) )).
% 0.99/1.20  cnf(co1-152, negated_conjecture, ( _def27 | ( op(e0, e0) != e0) )).
% 0.99/1.20  cnf(co1-153, negated_conjecture, ( _def27 | ( op(e0, e1) != e0) )).
% 0.99/1.20  cnf(co1-154, negated_conjecture, ( _def27 | ( op(e0, e2) != e0) )).
% 0.99/1.20  cnf(co1-155, negated_conjecture, ( _def27 | ( op(e0, e3) != e0) )).
% 0.99/1.20  cnf(co1-156, negated_conjecture, ( _def27 | ( op(e0, e4) != e0) )).
% 0.99/1.20  cnf(co1-157, negated_conjecture, ( _def28 | ( op(e0, e0) != e0) )).
% 0.99/1.20  cnf(co1-158, negated_conjecture, ( _def28 | ( op(e1, e0) != e0) )).
% 0.99/1.20  cnf(co1-159, negated_conjecture, ( _def28 | ( op(e2, e0) != e0) )).
% 0.99/1.20  cnf(co1-160, negated_conjecture, ( _def28 | ( op(e3, e0) != e0) )).
% 0.99/1.20  cnf(co1-161, negated_conjecture, ( _def28 | ( op(e4, e0) != e0) )).
% 0.99/1.20  cnf(co1-162, negated_conjecture, ( _def29 | ( op(e0, e0) != e1) )).
% 0.99/1.20  cnf(co1-163, negated_conjecture, ( _def29 | ( op(e0, e1) != e1) )).
% 0.99/1.20  cnf(co1-164, negated_conjecture, ( _def29 | ( op(e0, e2) != e1) )).
% 0.99/1.20  cnf(co1-165, negated_conjecture, ( _def29 | ( op(e0, e3) != e1) )).
% 0.99/1.20  cnf(co1-166, negated_conjecture, ( _def29 | ( op(e0, e4) != e1) )).
% 0.99/1.20  cnf(co1-167, negated_conjecture, ( _def30 | ( op(e0, e0) != e1) )).
% 0.99/1.20  cnf(co1-168, negated_conjecture, ( _def30 | ( op(e1, e0) != e1) )).
% 0.99/1.20  cnf(co1-169, negated_conjecture, ( _def30 | ( op(e2, e0) != e1) )).
% 0.99/1.20  cnf(co1-170, negated_conjecture, ( _def30 | ( op(e3, e0) != e1) )).
% 0.99/1.20  cnf(co1-171, negated_conjecture, ( _def30 | ( op(e4, e0) != e1) )).
% 0.99/1.20  cnf(co1-172, negated_conjecture, ( _def31 | ( op(e0, e0) != e2) )).
% 0.99/1.20  cnf(co1-173, negated_conjecture, ( _def31 | ( op(e0, e1) != e2) )).
% 0.99/1.20  cnf(co1-174, negated_conjecture, ( _def31 | ( op(e0, e2) != e2) )).
% 0.99/1.20  cnf(co1-175, negated_conjecture, ( _def31 | ( op(e0, e3) != e2) )).
% 0.99/1.20  cnf(co1-176, negated_conjecture, ( _def31 | ( op(e0, e4) != e2) )).
% 0.99/1.20  cnf(co1-177, negated_conjecture, ( _def32 | ( op(e0, e0) != e2) )).
% 0.99/1.20  cnf(co1-178, negated_conjecture, ( _def32 | ( op(e1, e0) != e2) )).
% 0.99/1.20  cnf(co1-179, negated_conjecture, ( _def32 | ( op(e2, e0) != e2) )).
% 0.99/1.20  cnf(co1-180, negated_conjecture, ( _def32 | ( op(e3, e0) != e2) )).
% 0.99/1.20  cnf(co1-181, negated_conjecture, ( _def32 | ( op(e4, e0) != e2) )).
% 0.99/1.20  cnf(co1-182, negated_conjecture, ( _def33 | ( op(e0, e0) != e3) )).
% 0.99/1.20  cnf(co1-183, negated_conjecture, ( _def33 | ( op(e0, e1) != e3) )).
% 0.99/1.20  cnf(co1-184, negated_conjecture, ( _def33 | ( op(e0, e2) != e3) )).
% 0.99/1.20  cnf(co1-185, negated_conjecture, ( _def33 | ( op(e0, e3) != e3) )).
% 0.99/1.20  cnf(co1-186, negated_conjecture, ( _def33 | ( op(e0, e4) != e3) )).
% 0.99/1.20  cnf(co1-187, negated_conjecture, ( _def34 | ( op(e0, e0) != e3) )).
% 0.99/1.20  cnf(co1-188, negated_conjecture, ( _def34 | ( op(e1, e0) != e3) )).
% 0.99/1.20  cnf(co1-189, negated_conjecture, ( _def34 | ( op(e2, e0) != e3) )).
% 0.99/1.20  cnf(co1-190, negated_conjecture, ( _def34 | ( op(e3, e0) != e3) )).
% 0.99/1.20  cnf(co1-191, negated_conjecture, ( _def34 | ( op(e4, e0) != e3) )).
% 0.99/1.20  cnf(co1-192, negated_conjecture, ( _def35 | ( op(e0, e0) != e4) )).
% 0.99/1.20  cnf(co1-193, negated_conjecture, ( _def35 | ( op(e0, e1) != e4) )).
% 0.99/1.20  cnf(co1-194, negated_conjecture, ( _def35 | ( op(e0, e2) != e4) )).
% 0.99/1.20  cnf(co1-195, negated_conjecture, ( _def35 | ( op(e0, e3) != e4) )).
% 0.99/1.20  cnf(co1-196, negated_conjecture, ( _def35 | ( op(e0, e4) != e4) )).
% 0.99/1.20  cnf(co1-197, negated_conjecture, ( _def36 | ( op(e0, e0) != e4) )).
% 0.99/1.20  cnf(co1-198, negated_conjecture, ( _def36 | ( op(e1, e0) != e4) )).
% 0.99/1.20  cnf(co1-199, negated_conjecture, ( _def36 | ( op(e2, e0) != e4) )).
% 0.99/1.20  cnf(co1-200, negated_conjecture, ( _def36 | ( op(e3, e0) != e4) )).
% 0.99/1.20  cnf(co1-201, negated_conjecture, ( _def36 | ( op(e4, e0) != e4) )).
% 0.99/1.20  cnf(co1-202, negated_conjecture, ( _def37 | ( op(e1, e0) != e0) )).
% 0.99/1.20  cnf(co1-203, negated_conjecture, ( _def37 | ( op(e1, e1) != e0) )).
% 0.99/1.20  cnf(co1-204, negated_conjecture, ( _def37 | ( op(e1, e2) != e0) )).
% 0.99/1.20  cnf(co1-205, negated_conjecture, ( _def37 | ( op(e1, e3) != e0) )).
% 0.99/1.20  cnf(co1-206, negated_conjecture, ( _def37 | ( op(e1, e4) != e0) )).
% 0.99/1.20  cnf(co1-207, negated_conjecture, ( _def38 | ( op(e0, e1) != e0) )).
% 0.99/1.20  cnf(co1-208, negated_conjecture, ( _def38 | ( op(e1, e1) != e0) )).
% 0.99/1.20  cnf(co1-209, negated_conjecture, ( _def38 | ( op(e2, e1) != e0) )).
% 0.99/1.20  cnf(co1-210, negated_conjecture, ( _def38 | ( op(e3, e1) != e0) )).
% 0.99/1.20  cnf(co1-211, negated_conjecture, ( _def38 | ( op(e4, e1) != e0) )).
% 0.99/1.20  cnf(co1-212, negated_conjecture, ( _def39 | ( op(e1, e0) != e1) )).
% 0.99/1.20  cnf(co1-213, negated_conjecture, ( _def39 | ( op(e1, e1) != e1) )).
% 0.99/1.20  cnf(co1-214, negated_conjecture, ( _def39 | ( op(e1, e2) != e1) )).
% 0.99/1.20  cnf(co1-215, negated_conjecture, ( _def39 | ( op(e1, e3) != e1) )).
% 0.99/1.20  cnf(co1-216, negated_conjecture, ( _def39 | ( op(e1, e4) != e1) )).
% 0.99/1.20  cnf(co1-217, negated_conjecture, ( _def40 | ( op(e0, e1) != e1) )).
% 0.99/1.20  cnf(co1-218, negated_conjecture, ( _def40 | ( op(e1, e1) != e1) )).
% 0.99/1.20  cnf(co1-219, negated_conjecture, ( _def40 | ( op(e2, e1) != e1) )).
% 0.99/1.20  cnf(co1-220, negated_conjecture, ( _def40 | ( op(e3, e1) != e1) )).
% 0.99/1.20  cnf(co1-221, negated_conjecture, ( _def40 | ( op(e4, e1) != e1) )).
% 0.99/1.20  cnf(co1-222, negated_conjecture, ( _def41 | ( op(e1, e0) != e2) )).
% 0.99/1.20  cnf(co1-223, negated_conjecture, ( _def41 | ( op(e1, e1) != e2) )).
% 0.99/1.20  cnf(co1-224, negated_conjecture, ( _def41 | ( op(e1, e2) != e2) )).
% 0.99/1.20  cnf(co1-225, negated_conjecture, ( _def41 | ( op(e1, e3) != e2) )).
% 0.99/1.20  cnf(co1-226, negated_conjecture, ( _def41 | ( op(e1, e4) != e2) )).
% 0.99/1.20  cnf(co1-227, negated_conjecture, ( _def42 | ( op(e0, e1) != e2) )).
% 0.99/1.20  cnf(co1-228, negated_conjecture, ( _def42 | ( op(e1, e1) != e2) )).
% 0.99/1.20  cnf(co1-229, negated_conjecture, ( _def42 | ( op(e2, e1) != e2) )).
% 0.99/1.20  cnf(co1-230, negated_conjecture, ( _def42 | ( op(e3, e1) != e2) )).
% 0.99/1.20  cnf(co1-231, negated_conjecture, ( _def42 | ( op(e4, e1) != e2) )).
% 0.99/1.20  cnf(co1-232, negated_conjecture, ( _def43 | ( op(e1, e0) != e3) )).
% 0.99/1.20  cnf(co1-233, negated_conjecture, ( _def43 | ( op(e1, e1) != e3) )).
% 0.99/1.20  cnf(co1-234, negated_conjecture, ( _def43 | ( op(e1, e2) != e3) )).
% 0.99/1.20  cnf(co1-235, negated_conjecture, ( _def43 | ( op(e1, e3) != e3) )).
% 0.99/1.20  cnf(co1-236, negated_conjecture, ( _def43 | ( op(e1, e4) != e3) )).
% 0.99/1.20  cnf(co1-237, negated_conjecture, ( _def44 | ( op(e0, e1) != e3) )).
% 0.99/1.20  cnf(co1-238, negated_conjecture, ( _def44 | ( op(e1, e1) != e3) )).
% 0.99/1.20  cnf(co1-239, negated_conjecture, ( _def44 | ( op(e2, e1) != e3) )).
% 0.99/1.20  cnf(co1-240, negated_conjecture, ( _def44 | ( op(e3, e1) != e3) )).
% 0.99/1.20  cnf(co1-241, negated_conjecture, ( _def44 | ( op(e4, e1) != e3) )).
% 0.99/1.20  cnf(co1-242, negated_conjecture, ( _def45 | ( op(e1, e0) != e4) )).
% 0.99/1.20  cnf(co1-243, negated_conjecture, ( _def45 | ( op(e1, e1) != e4) )).
% 0.99/1.20  cnf(co1-244, negated_conjecture, ( _def45 | ( op(e1, e2) != e4) )).
% 0.99/1.20  cnf(co1-245, negated_conjecture, ( _def45 | ( op(e1, e3) != e4) )).
% 0.99/1.20  cnf(co1-246, negated_conjecture, ( _def45 | ( op(e1, e4) != e4) )).
% 0.99/1.20  cnf(co1-247, negated_conjecture, ( _def46 | ( op(e0, e1) != e4) )).
% 0.99/1.20  cnf(co1-248, negated_conjecture, ( _def46 | ( op(e1, e1) != e4) )).
% 0.99/1.20  cnf(co1-249, negated_conjecture, ( _def46 | ( op(e2, e1) != e4) )).
% 0.99/1.20  cnf(co1-250, negated_conjecture, ( _def46 | ( op(e3, e1) != e4) )).
% 0.99/1.20  cnf(co1-251, negated_conjecture, ( _def46 | ( op(e4, e1) != e4) )).
% 0.99/1.20  cnf(co1-252, negated_conjecture, ( _def47 | ( op(e2, e0) != e0) )).
% 0.99/1.20  cnf(co1-253, negated_conjecture, ( _def47 | ( op(e2, e1) != e0) )).
% 0.99/1.20  cnf(co1-254, negated_conjecture, ( _def47 | ( op(e2, e2) != e0) )).
% 0.99/1.20  cnf(co1-255, negated_conjecture, ( _def47 | ( op(e2, e3) != e0) )).
% 0.99/1.20  cnf(co1-256, negated_conjecture, ( _def47 | ( op(e2, e4) != e0) )).
% 0.99/1.20  cnf(co1-257, negated_conjecture, ( _def48 | ( op(e0, e2) != e0) )).
% 0.99/1.20  cnf(co1-258, negated_conjecture, ( _def48 | ( op(e1, e2) != e0) )).
% 0.99/1.20  cnf(co1-259, negated_conjecture, ( _def48 | ( op(e2, e2) != e0) )).
% 0.99/1.20  cnf(co1-260, negated_conjecture, ( _def48 | ( op(e3, e2) != e0) )).
% 0.99/1.20  cnf(co1-261, negated_conjecture, ( _def48 | ( op(e4, e2) != e0) )).
% 0.99/1.20  cnf(co1-262, negated_conjecture, ( _def49 | ( op(e2, e0) != e1) )).
% 0.99/1.20  cnf(co1-263, negated_conjecture, ( _def49 | ( op(e2, e1) != e1) )).
% 0.99/1.20  cnf(co1-264, negated_conjecture, ( _def49 | ( op(e2, e2) != e1) )).
% 0.99/1.20  cnf(co1-265, negated_conjecture, ( _def49 | ( op(e2, e3) != e1) )).
% 0.99/1.20  cnf(co1-266, negated_conjecture, ( _def49 | ( op(e2, e4) != e1) )).
% 0.99/1.20  cnf(co1-267, negated_conjecture, ( _def50 | ( op(e0, e2) != e1) )).
% 0.99/1.20  cnf(co1-268, negated_conjecture, ( _def50 | ( op(e1, e2) != e1) )).
% 0.99/1.20  cnf(co1-269, negated_conjecture, ( _def50 | ( op(e2, e2) != e1) )).
% 0.99/1.20  cnf(co1-270, negated_conjecture, ( _def50 | ( op(e3, e2) != e1) )).
% 0.99/1.20  cnf(co1-271, negated_conjecture, ( _def50 | ( op(e4, e2) != e1) )).
% 0.99/1.20  cnf(co1-272, negated_conjecture, ( _def51 | ( op(e2, e0) != e2) )).
% 0.99/1.20  cnf(co1-273, negated_conjecture, ( _def51 | ( op(e2, e1) != e2) )).
% 0.99/1.20  cnf(co1-274, negated_conjecture, ( _def51 | ( op(e2, e2) != e2) )).
% 0.99/1.20  cnf(co1-275, negated_conjecture, ( _def51 | ( op(e2, e3) != e2) )).
% 0.99/1.20  cnf(co1-276, negated_conjecture, ( _def51 | ( op(e2, e4) != e2) )).
% 0.99/1.20  cnf(co1-277, negated_conjecture, ( _def52 | ( op(e0, e2) != e2) )).
% 0.99/1.20  cnf(co1-278, negated_conjecture, ( _def52 | ( op(e1, e2) != e2) )).
% 0.99/1.20  cnf(co1-279, negated_conjecture, ( _def52 | ( op(e2, e2) != e2) )).
% 0.99/1.20  cnf(co1-280, negated_conjecture, ( _def52 | ( op(e3, e2) != e2) )).
% 0.99/1.20  cnf(co1-281, negated_conjecture, ( _def52 | ( op(e4, e2) != e2) )).
% 0.99/1.20  cnf(co1-282, negated_conjecture, ( _def53 | ( op(e2, e0) != e3) )).
% 0.99/1.20  cnf(co1-283, negated_conjecture, ( _def53 | ( op(e2, e1) != e3) )).
% 0.99/1.20  cnf(co1-284, negated_conjecture, ( _def53 | ( op(e2, e2) != e3) )).
% 0.99/1.20  cnf(co1-285, negated_conjecture, ( _def53 | ( op(e2, e3) != e3) )).
% 0.99/1.20  cnf(co1-286, negated_conjecture, ( _def53 | ( op(e2, e4) != e3) )).
% 0.99/1.20  cnf(co1-287, negated_conjecture, ( _def54 | ( op(e0, e2) != e3) )).
% 0.99/1.20  cnf(co1-288, negated_conjecture, ( _def54 | ( op(e1, e2) != e3) )).
% 0.99/1.20  cnf(co1-289, negated_conjecture, ( _def54 | ( op(e2, e2) != e3) )).
% 0.99/1.20  cnf(co1-290, negated_conjecture, ( _def54 | ( op(e3, e2) != e3) )).
% 0.99/1.20  cnf(co1-291, negated_conjecture, ( _def54 | ( op(e4, e2) != e3) )).
% 0.99/1.20  cnf(co1-292, negated_conjecture, ( _def55 | ( op(e2, e0) != e4) )).
% 0.99/1.20  cnf(co1-293, negated_conjecture, ( _def55 | ( op(e2, e1) != e4) )).
% 0.99/1.20  cnf(co1-294, negated_conjecture, ( _def55 | ( op(e2, e2) != e4) )).
% 0.99/1.20  cnf(co1-295, negated_conjecture, ( _def55 | ( op(e2, e3) != e4) )).
% 0.99/1.20  cnf(co1-296, negated_conjecture, ( _def55 | ( op(e2, e4) != e4) )).
% 0.99/1.20  cnf(co1-297, negated_conjecture, ( _def56 | ( op(e0, e2) != e4) )).
% 0.99/1.20  cnf(co1-298, negated_conjecture, ( _def56 | ( op(e1, e2) != e4) )).
% 0.99/1.20  cnf(co1-299, negated_conjecture, ( _def56 | ( op(e2, e2) != e4) )).
% 0.99/1.20  cnf(co1-300, negated_conjecture, ( _def56 | ( op(e3, e2) != e4) )).
% 0.99/1.20  cnf(co1-301, negated_conjecture, ( _def56 | ( op(e4, e2) != e4) )).
% 0.99/1.20  cnf(co1-302, negated_conjecture, ( _def57 | ( op(e3, e0) != e0) )).
% 0.99/1.20  cnf(co1-303, negated_conjecture, ( _def57 | ( op(e3, e1) != e0) )).
% 0.99/1.20  cnf(co1-304, negated_conjecture, ( _def57 | ( op(e3, e2) != e0) )).
% 0.99/1.20  cnf(co1-305, negated_conjecture, ( _def57 | ( op(e3, e3) != e0) )).
% 0.99/1.20  cnf(co1-306, negated_conjecture, ( _def57 | ( op(e3, e4) != e0) )).
% 0.99/1.20  cnf(co1-307, negated_conjecture, ( _def58 | ( op(e0, e3) != e0) )).
% 0.99/1.20  cnf(co1-308, negated_conjecture, ( _def58 | ( op(e1, e3) != e0) )).
% 0.99/1.20  cnf(co1-309, negated_conjecture, ( _def58 | ( op(e2, e3) != e0) )).
% 0.99/1.20  cnf(co1-310, negated_conjecture, ( _def58 | ( op(e3, e3) != e0) )).
% 0.99/1.20  cnf(co1-311, negated_conjecture, ( _def58 | ( op(e4, e3) != e0) )).
% 0.99/1.20  cnf(co1-312, negated_conjecture, ( _def59 | ( op(e3, e0) != e1) )).
% 0.99/1.20  cnf(co1-313, negated_conjecture, ( _def59 | ( op(e3, e1) != e1) )).
% 0.99/1.20  cnf(co1-314, negated_conjecture, ( _def59 | ( op(e3, e2) != e1) )).
% 0.99/1.20  cnf(co1-315, negated_conjecture, ( _def59 | ( op(e3, e3) != e1) )).
% 0.99/1.20  cnf(co1-316, negated_conjecture, ( _def59 | ( op(e3, e4) != e1) )).
% 0.99/1.20  cnf(co1-317, negated_conjecture, ( _def60 | ( op(e0, e3) != e1) )).
% 0.99/1.20  cnf(co1-318, negated_conjecture, ( _def60 | ( op(e1, e3) != e1) )).
% 0.99/1.20  cnf(co1-319, negated_conjecture, ( _def60 | ( op(e2, e3) != e1) )).
% 0.99/1.20  cnf(co1-320, negated_conjecture, ( _def60 | ( op(e3, e3) != e1) )).
% 0.99/1.20  cnf(co1-321, negated_conjecture, ( _def60 | ( op(e4, e3) != e1) )).
% 0.99/1.20  cnf(co1-322, negated_conjecture, ( _def61 | ( op(e3, e0) != e2) )).
% 0.99/1.20  cnf(co1-323, negated_conjecture, ( _def61 | ( op(e3, e1) != e2) )).
% 0.99/1.20  cnf(co1-324, negated_conjecture, ( _def61 | ( op(e3, e2) != e2) )).
% 0.99/1.20  cnf(co1-325, negated_conjecture, ( _def61 | ( op(e3, e3) != e2) )).
% 0.99/1.20  cnf(co1-326, negated_conjecture, ( _def61 | ( op(e3, e4) != e2) )).
% 0.99/1.20  cnf(co1-327, negated_conjecture, ( _def62 | ( op(e0, e3) != e2) )).
% 0.99/1.20  cnf(co1-328, negated_conjecture, ( _def62 | ( op(e1, e3) != e2) )).
% 0.99/1.20  cnf(co1-329, negated_conjecture, ( _def62 | ( op(e2, e3) != e2) )).
% 0.99/1.20  cnf(co1-330, negated_conjecture, ( _def62 | ( op(e3, e3) != e2) )).
% 0.99/1.20  cnf(co1-331, negated_conjecture, ( _def62 | ( op(e4, e3) != e2) )).
% 0.99/1.20  cnf(co1-332, negated_conjecture, ( _def63 | ( op(e3, e0) != e3) )).
% 0.99/1.20  cnf(co1-333, negated_conjecture, ( _def63 | ( op(e3, e1) != e3) )).
% 0.99/1.20  cnf(co1-334, negated_conjecture, ( _def63 | ( op(e3, e2) != e3) )).
% 0.99/1.20  cnf(co1-335, negated_conjecture, ( _def63 | ( op(e3, e3) != e3) )).
% 0.99/1.20  cnf(co1-336, negated_conjecture, ( _def63 | ( op(e3, e4) != e3) )).
% 0.99/1.20  cnf(co1-337, negated_conjecture, ( _def64 | ( op(e0, e3) != e3) )).
% 0.99/1.20  cnf(co1-338, negated_conjecture, ( _def64 | ( op(e1, e3) != e3) )).
% 0.99/1.20  cnf(co1-339, negated_conjecture, ( _def64 | ( op(e2, e3) != e3) )).
% 0.99/1.20  cnf(co1-340, negated_conjecture, ( _def64 | ( op(e3, e3) != e3) )).
% 0.99/1.20  cnf(co1-341, negated_conjecture, ( _def64 | ( op(e4, e3) != e3) )).
% 0.99/1.20  cnf(co1-342, negated_conjecture, ( _def65 | ( op(e3, e0) != e4) )).
% 0.99/1.20  cnf(co1-343, negated_conjecture, ( _def65 | ( op(e3, e1) != e4) )).
% 0.99/1.20  cnf(co1-344, negated_conjecture, ( _def65 | ( op(e3, e2) != e4) )).
% 0.99/1.20  cnf(co1-345, negated_conjecture, ( _def65 | ( op(e3, e3) != e4) )).
% 0.99/1.20  cnf(co1-346, negated_conjecture, ( _def65 | ( op(e3, e4) != e4) )).
% 0.99/1.20  cnf(co1-347, negated_conjecture, ( _def66 | ( op(e0, e3) != e4) )).
% 0.99/1.20  cnf(co1-348, negated_conjecture, ( _def66 | ( op(e1, e3) != e4) )).
% 0.99/1.20  cnf(co1-349, negated_conjecture, ( _def66 | ( op(e2, e3) != e4) )).
% 0.99/1.20  cnf(co1-350, negated_conjecture, ( _def66 | ( op(e3, e3) != e4) )).
% 0.99/1.20  cnf(co1-351, negated_conjecture, ( _def66 | ( op(e4, e3) != e4) )).
% 0.99/1.20  cnf(co1-352, negated_conjecture, ( _def67 | ( op(e4, e0) != e0) )).
% 0.99/1.20  cnf(co1-353, negated_conjecture, ( _def67 | ( op(e4, e1) != e0) )).
% 0.99/1.20  cnf(co1-354, negated_conjecture, ( _def67 | ( op(e4, e2) != e0) )).
% 0.99/1.20  cnf(co1-355, negated_conjecture, ( _def67 | ( op(e4, e3) != e0) )).
% 0.99/1.20  cnf(co1-356, negated_conjecture, ( _def67 | ( op(e4, e4) != e0) )).
% 0.99/1.20  cnf(co1-357, negated_conjecture, ( _def68 | ( op(e0, e4) != e0) )).
% 0.99/1.20  cnf(co1-358, negated_conjecture, ( _def68 | ( op(e1, e4) != e0) )).
% 0.99/1.20  cnf(co1-359, negated_conjecture, ( _def68 | ( op(e2, e4) != e0) )).
% 0.99/1.20  cnf(co1-360, negated_conjecture, ( _def68 | ( op(e3, e4) != e0) )).
% 0.99/1.20  cnf(co1-361, negated_conjecture, ( _def68 | ( op(e4, e4) != e0) )).
% 0.99/1.20  cnf(co1-362, negated_conjecture, ( _def69 | ( op(e4, e0) != e1) )).
% 0.99/1.20  cnf(co1-363, negated_conjecture, ( _def69 | ( op(e4, e1) != e1) )).
% 0.99/1.20  cnf(co1-364, negated_conjecture, ( _def69 | ( op(e4, e2) != e1) )).
% 0.99/1.20  cnf(co1-365, negated_conjecture, ( _def69 | ( op(e4, e3) != e1) )).
% 0.99/1.20  cnf(co1-366, negated_conjecture, ( _def69 | ( op(e4, e4) != e1) )).
% 0.99/1.20  cnf(co1-367, negated_conjecture, ( _def70 | ( op(e0, e4) != e1) )).
% 0.99/1.20  cnf(co1-368, negated_conjecture, ( _def70 | ( op(e1, e4) != e1) )).
% 0.99/1.20  cnf(co1-369, negated_conjecture, ( _def70 | ( op(e2, e4) != e1) )).
% 0.99/1.20  cnf(co1-370, negated_conjecture, ( _def70 | ( op(e3, e4) != e1) )).
% 0.99/1.20  cnf(co1-371, negated_conjecture, ( _def70 | ( op(e4, e4) != e1) )).
% 0.99/1.20  cnf(co1-372, negated_conjecture, ( _def71 | ( op(e4, e0) != e2) )).
% 0.99/1.20  cnf(co1-373, negated_conjecture, ( _def71 | ( op(e4, e1) != e2) )).
% 0.99/1.20  cnf(co1-374, negated_conjecture, ( _def71 | ( op(e4, e2) != e2) )).
% 0.99/1.20  cnf(co1-375, negated_conjecture, ( _def71 | ( op(e4, e3) != e2) )).
% 0.99/1.20  cnf(co1-376, negated_conjecture, ( _def71 | ( op(e4, e4) != e2) )).
% 0.99/1.20  cnf(co1-377, negated_conjecture, ( _def72 | ( op(e0, e4) != e2) )).
% 0.99/1.20  cnf(co1-378, negated_conjecture, ( _def72 | ( op(e1, e4) != e2) )).
% 0.99/1.20  cnf(co1-379, negated_conjecture, ( _def72 | ( op(e2, e4) != e2) )).
% 0.99/1.20  cnf(co1-380, negated_conjecture, ( _def72 | ( op(e3, e4) != e2) )).
% 0.99/1.20  cnf(co1-381, negated_conjecture, ( _def72 | ( op(e4, e4) != e2) )).
% 0.99/1.20  cnf(co1-382, negated_conjecture, ( _def73 | ( op(e4, e0) != e3) )).
% 0.99/1.20  cnf(co1-383, negated_conjecture, ( _def73 | ( op(e4, e1) != e3) )).
% 0.99/1.20  cnf(co1-384, negated_conjecture, ( _def73 | ( op(e4, e2) != e3) )).
% 0.99/1.20  cnf(co1-385, negated_conjecture, ( _def73 | ( op(e4, e3) != e3) )).
% 0.99/1.20  cnf(co1-386, negated_conjecture, ( _def73 | ( op(e4, e4) != e3) )).
% 0.99/1.20  cnf(co1-387, negated_conjecture, ( _def74 | ( op(e0, e4) != e3) )).
% 0.99/1.20  cnf(co1-388, negated_conjecture, ( _def74 | ( op(e1, e4) != e3) )).
% 0.99/1.20  cnf(co1-389, negated_conjecture, ( _def74 | ( op(e2, e4) != e3) )).
% 0.99/1.20  cnf(co1-390, negated_conjecture, ( _def74 | ( op(e3, e4) != e3) )).
% 0.99/1.20  cnf(co1-391, negated_conjecture, ( _def74 | ( op(e4, e4) != e3) )).
% 0.99/1.20  cnf(co1-392, negated_conjecture, ( _def75 | ( op(e4, e0) != e4) )).
% 0.99/1.20  cnf(co1-393, negated_conjecture, ( _def75 | ( op(e4, e1) != e4) )).
% 0.99/1.20  cnf(co1-394, negated_conjecture, ( _def75 | ( op(e4, e2) != e4) )).
% 0.99/1.20  cnf(co1-395, negated_conjecture, ( _def75 | ( op(e4, e3) != e4) )).
% 0.99/1.20  cnf(co1-396, negated_conjecture, ( _def75 | ( op(e4, e4) != e4) )).
% 0.99/1.20  cnf(co1-397, negated_conjecture, ( _def76 | ( op(e0, e4) != e4) )).
% 0.99/1.20  cnf(co1-398, negated_conjecture, ( _def76 | ( op(e1, e4) != e4) )).
% 0.99/1.20  cnf(co1-399, negated_conjecture, ( _def76 | ( op(e2, e4) != e4) )).
% 0.99/1.20  cnf(co1-400, negated_conjecture, ( _def76 | ( op(e3, e4) != e4) )).
% 0.99/1.20  cnf(co1-401, negated_conjecture, ( _def76 | ( op(e4, e4) != e4) )).
% 0.99/1.20  
% 0.99/1.20  % Problem matrix:
% 0.99/1.20  cnf(matrix-0, plain, ( ( __eqx_0 = __eqx_0) )).
% 0.99/1.21  cnf(matrix-1, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 = __eqx_0) )).
% 0.99/1.21  cnf(matrix-2, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 != __eqx_2) | ( __eqx_0 = __eqx_2) )).
% 0.99/1.21  cnf(matrix-3, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( op(__eqx_0, __eqx_1) = op(__eqy_0, __eqy_1)) )).
% 0.99/1.21  cnf(matrix-4, plain, ( ( e0 != e1) )).
% 0.99/1.21  cnf(matrix-5, plain, ( ( e0 != e2) )).
% 0.99/1.21  cnf(matrix-6, plain, ( ( e0 != e3) )).
% 0.99/1.21  cnf(matrix-7, plain, ( ( e0 != e4) )).
% 0.99/1.21  cnf(matrix-8, plain, ( ( e1 != e2) )).
% 0.99/1.21  cnf(matrix-9, plain, ( ( e1 != e3) )).
% 0.99/1.21  cnf(matrix-10, plain, ( ( e1 != e4) )).
% 0.99/1.21  cnf(matrix-11, plain, ( ( e2 != e3) )).
% 0.99/1.21  cnf(matrix-12, plain, ( ( e2 != e4) )).
% 0.99/1.21  cnf(matrix-13, plain, ( ( e3 != e4) )).
% 0.99/1.21  cnf(matrix-14, plain, ( ( op(e0, e0) = e0) )).
% 0.99/1.21  cnf(matrix-15, plain, ( ( op(e0, e1) = e1) )).
% 0.99/1.21  cnf(matrix-16, plain, ( ( op(e0, e2) = e2) )).
% 0.99/1.21  cnf(matrix-17, plain, ( ( op(e0, e3) = e3) )).
% 0.99/1.21  cnf(matrix-18, plain, ( ( op(e0, e4) = e4) )).
% 0.99/1.21  cnf(matrix-19, plain, ( ( op(e1, e0) = e1) )).
% 0.99/1.21  cnf(matrix-20, plain, ( ( op(e1, e1) = e2) )).
% 0.99/1.21  cnf(matrix-21, plain, ( ( op(e1, e2) = e3) )).
% 0.99/1.21  cnf(matrix-22, plain, ( ( op(e1, e3) = e4) )).
% 0.99/1.21  cnf(matrix-23, plain, ( ( op(e1, e4) = e0) )).
% 0.99/1.21  cnf(matrix-24, plain, ( ( op(e2, e0) = e2) )).
% 0.99/1.21  cnf(matrix-25, plain, ( ( op(e2, e1) = e4) )).
% 0.99/1.21  cnf(matrix-26, plain, ( ( op(e2, e2) = e1) )).
% 0.99/1.21  cnf(matrix-27, plain, ( ( op(e2, e3) = e0) )).
% 0.99/1.21  cnf(matrix-28, plain, ( ( op(e2, e4) = e3) )).
% 0.99/1.21  cnf(matrix-29, plain, ( ( op(e3, e0) = e3) )).
% 0.99/1.21  cnf(matrix-30, plain, ( ( op(e3, e1) = e0) )).
% 0.99/1.21  cnf(matrix-31, plain, ( ( op(e3, e2) = e4) )).
% 0.99/1.21  cnf(matrix-32, plain, ( ( op(e3, e3) = e1) )).
% 0.99/1.21  cnf(matrix-33, plain, ( ( op(e3, e4) = e2) )).
% 0.99/1.21  cnf(matrix-34, plain, ( ( op(e4, e0) = e4) )).
% 0.99/1.21  cnf(matrix-35, plain, ( ( op(e4, e1) = e3) )).
% 0.99/1.21  cnf(matrix-36, plain, ( ( op(e4, e2) = e0) )).
% 0.99/1.21  cnf(matrix-37, plain, ( ( op(e4, e3) = e2) )).
% 0.99/1.21  cnf(matrix-38, plain, ( ( op(e4, e4) = e1) )).
% 0.99/1.21  cnf(matrix-39, plain, ( ( unit = e0) )).
% 0.99/1.21  cnf(matrix-40, plain, ( ~_def0 | ~_def1 | ~_def2 | ~_def3 | ~_def4 | ~_def5 | ~_def6 | ~_def7 | ~_def8 | ~_def9 | ~_def10 | ~_def11 | ~_def12 | ~_def13 | ~_def14 | ~_def15 | ~_def16 | ~_def17 | ~_def18 | ~_def19 | ~_def20 | ~_def21 | ~_def22 | ~_def23 | ~_def24 | ~_def25 | ( op(unit, e0) != e0) | ( op(e0, unit) != e0) | ( op(unit, e1) != e1) | ( op(e1, unit) != e1) | ( op(unit, e2) != e2) | ( op(e2, unit) != e2) | ( op(unit, e3) != e3) | ( op(e3, unit) != e3) | ( op(unit, e4) != e4) | ( op(e4, unit) != e4) | ~_def26 | ~_def27 | ~_def28 | ~_def29 | ~_def30 | ~_def31 | ~_def32 | ~_def33 | ~_def34 | ~_def35 | ~_def36 | ~_def37 | ~_def38 | ~_def39 | ~_def40 | ~_def41 | ~_def42 | ~_def43 | ~_def44 | ~_def45 | ~_def46 | ~_def47 | ~_def48 | ~_def49 | ~_def50 | ~_def51 | ~_def52 | ~_def53 | ~_def54 | ~_def55 | ~_def56 | ~_def57 | ~_def58 | ~_def59 | ~_def60 | ~_def61 | ~_def62 | ~_def63 | ~_def64 | ~_def65 | ~_def66 | ~_def67 | ~_def68 | ~_def69 | ~_def70 | ~_def71 | ~_def72 | ~_def73 | ~_def74 | ~_def75 | ~_def76 )).
% 0.99/1.21  cnf(matrix-41, plain, ( _def0 | ( op(e0, e0) != e1) | ( op(e1, e1) != e0) | ( op(e0, e1) = e0) )).
% 0.99/1.21  cnf(matrix-42, plain, ( _def0 | ( op(e0, e0) != e2) | ( op(e2, e2) != e0) | ( op(e0, e2) = e0) )).
% 0.99/1.21  cnf(matrix-43, plain, ( _def0 | ( op(e0, e0) != e3) | ( op(e3, e3) != e0) | ( op(e0, e3) = e0) )).
% 0.99/1.21  cnf(matrix-44, plain, ( _def0 | ( op(e0, e0) != e4) | ( op(e4, e4) != e0) | ( op(e0, e4) = e0) )).
% 0.99/1.21  cnf(matrix-45, plain, ( _def0 | ( op(e1, e1) != e0) | ( op(e0, e0) != e1) | ( op(e1, e0) = e1) )).
% 0.99/1.21  cnf(matrix-46, plain, ( _def0 | ( op(e1, e1) != e2) | ( op(e2, e2) != e1) | ( op(e1, e2) = e1) )).
% 0.99/1.21  cnf(matrix-47, plain, ( _def0 | ( op(e1, e1) != e3) | ( op(e3, e3) != e1) | ( op(e1, e3) = e1) )).
% 0.99/1.21  cnf(matrix-48, plain, ( _def0 | ( op(e1, e1) != e4) | ( op(e4, e4) != e1) | ( op(e1, e4) = e1) )).
% 0.99/1.21  cnf(matrix-49, plain, ( _def0 | ( op(e2, e2) != e0) | ( op(e0, e0) != e2) | ( op(e2, e0) = e2) )).
% 0.99/1.21  cnf(matrix-50, plain, ( _def0 | ( op(e2, e2) != e1) | ( op(e1, e1) != e2) | ( op(e2, e1) = e2) )).
% 0.99/1.21  cnf(matrix-51, plain, ( _def0 | ( op(e2, e2) != e3) | ( op(e3, e3) != e2) | ( op(e2, e3) = e2) )).
% 0.99/1.21  cnf(matrix-52, plain, ( _def0 | ( op(e2, e2) != e4) | ( op(e4, e4) != e2) | ( op(e2, e4) = e2) )).
% 0.99/1.21  cnf(matrix-53, plain, ( _def0 | ( op(e3, e3) != e0) | ( op(e0, e0) != e3) | ( op(e3, e0) = e3) )).
% 0.99/1.21  cnf(matrix-54, plain, ( _def0 | ( op(e3, e3) != e1) | ( op(e1, e1) != e3) | ( op(e3, e1) = e3) )).
% 0.99/1.21  cnf(matrix-55, plain, ( _def0 | ( op(e3, e3) != e2) | ( op(e2, e2) != e3) | ( op(e3, e2) = e3) )).
% 0.99/1.21  cnf(matrix-56, plain, ( _def0 | ( op(e3, e3) != e4) | ( op(e4, e4) != e3) | ( op(e3, e4) = e3) )).
% 0.99/1.21  cnf(matrix-57, plain, ( _def0 | ( op(e4, e4) != e0) | ( op(e0, e0) != e4) | ( op(e4, e0) = e4) )).
% 0.99/1.21  cnf(matrix-58, plain, ( _def0 | ( op(e4, e4) != e1) | ( op(e1, e1) != e4) | ( op(e4, e1) = e4) )).
% 0.99/1.21  cnf(matrix-59, plain, ( _def0 | ( op(e4, e4) != e2) | ( op(e2, e2) != e4) | ( op(e4, e2) = e4) )).
% 0.99/1.21  cnf(matrix-60, plain, ( _def0 | ( op(e4, e4) != e3) | ( op(e3, e3) != e4) | ( op(e4, e3) = e4) )).
% 0.99/1.21  cnf(matrix-61, plain, ( _def1 | ( op(e0, e0) != e0) )).
% 0.99/1.21  cnf(matrix-62, plain, ( _def1 | ( op(e0, e0) != e1) )).
% 0.99/1.21  cnf(matrix-63, plain, ( _def1 | ( op(e0, e0) != e2) )).
% 0.99/1.21  cnf(matrix-64, plain, ( _def1 | ( op(e0, e0) != e3) )).
% 0.99/1.21  cnf(matrix-65, plain, ( _def1 | ( op(e0, e0) != e4) )).
% 0.99/1.21  cnf(matrix-66, plain, ( _def2 | ( op(e0, e1) != e0) )).
% 0.99/1.21  cnf(matrix-67, plain, ( _def2 | ( op(e0, e1) != e1) )).
% 0.99/1.21  cnf(matrix-68, plain, ( _def2 | ( op(e0, e1) != e2) )).
% 0.99/1.21  cnf(matrix-69, plain, ( _def2 | ( op(e0, e1) != e3) )).
% 0.99/1.21  cnf(matrix-70, plain, ( _def2 | ( op(e0, e1) != e4) )).
% 0.99/1.21  cnf(matrix-71, plain, ( _def3 | ( op(e0, e2) != e0) )).
% 0.99/1.21  cnf(matrix-72, plain, ( _def3 | ( op(e0, e2) != e1) )).
% 0.99/1.21  cnf(matrix-73, plain, ( _def3 | ( op(e0, e2) != e2) )).
% 0.99/1.21  cnf(matrix-74, plain, ( _def3 | ( op(e0, e2) != e3) )).
% 0.99/1.21  cnf(matrix-75, plain, ( _def3 | ( op(e0, e2) != e4) )).
% 0.99/1.21  cnf(matrix-76, plain, ( _def4 | ( op(e0, e3) != e0) )).
% 0.99/1.21  cnf(matrix-77, plain, ( _def4 | ( op(e0, e3) != e1) )).
% 0.99/1.21  cnf(matrix-78, plain, ( _def4 | ( op(e0, e3) != e2) )).
% 0.99/1.21  cnf(matrix-79, plain, ( _def4 | ( op(e0, e3) != e3) )).
% 0.99/1.21  cnf(matrix-80, plain, ( _def4 | ( op(e0, e3) != e4) )).
% 0.99/1.21  cnf(matrix-81, plain, ( _def5 | ( op(e0, e4) != e0) )).
% 0.99/1.21  cnf(matrix-82, plain, ( _def5 | ( op(e0, e4) != e1) )).
% 0.99/1.21  cnf(matrix-83, plain, ( _def5 | ( op(e0, e4) != e2) )).
% 0.99/1.21  cnf(matrix-84, plain, ( _def5 | ( op(e0, e4) != e3) )).
% 0.99/1.21  cnf(matrix-85, plain, ( _def5 | ( op(e0, e4) != e4) )).
% 0.99/1.21  cnf(matrix-86, plain, ( _def6 | ( op(e1, e0) != e0) )).
% 0.99/1.21  cnf(matrix-87, plain, ( _def6 | ( op(e1, e0) != e1) )).
% 0.99/1.21  cnf(matrix-88, plain, ( _def6 | ( op(e1, e0) != e2) )).
% 0.99/1.21  cnf(matrix-89, plain, ( _def6 | ( op(e1, e0) != e3) )).
% 0.99/1.21  cnf(matrix-90, plain, ( _def6 | ( op(e1, e0) != e4) )).
% 0.99/1.21  cnf(matrix-91, plain, ( _def7 | ( op(e1, e1) != e0) )).
% 0.99/1.21  cnf(matrix-92, plain, ( _def7 | ( op(e1, e1) != e1) )).
% 0.99/1.21  cnf(matrix-93, plain, ( _def7 | ( op(e1, e1) != e2) )).
% 0.99/1.21  cnf(matrix-94, plain, ( _def7 | ( op(e1, e1) != e3) )).
% 0.99/1.21  cnf(matrix-95, plain, ( _def7 | ( op(e1, e1) != e4) )).
% 0.99/1.21  cnf(matrix-96, plain, ( _def8 | ( op(e1, e2) != e0) )).
% 0.99/1.21  cnf(matrix-97, plain, ( _def8 | ( op(e1, e2) != e1) )).
% 0.99/1.21  cnf(matrix-98, plain, ( _def8 | ( op(e1, e2) != e2) )).
% 0.99/1.21  cnf(matrix-99, plain, ( _def8 | ( op(e1, e2) != e3) )).
% 0.99/1.21  cnf(matrix-100, plain, ( _def8 | ( op(e1, e2) != e4) )).
% 0.99/1.21  cnf(matrix-101, plain, ( _def9 | ( op(e1, e3) != e0) )).
% 0.99/1.21  cnf(matrix-102, plain, ( _def9 | ( op(e1, e3) != e1) )).
% 0.99/1.21  cnf(matrix-103, plain, ( _def9 | ( op(e1, e3) != e2) )).
% 0.99/1.21  cnf(matrix-104, plain, ( _def9 | ( op(e1, e3) != e3) )).
% 0.99/1.21  cnf(matrix-105, plain, ( _def9 | ( op(e1, e3) != e4) )).
% 0.99/1.21  cnf(matrix-106, plain, ( _def10 | ( op(e1, e4) != e0) )).
% 0.99/1.21  cnf(matrix-107, plain, ( _def10 | ( op(e1, e4) != e1) )).
% 0.99/1.21  cnf(matrix-108, plain, ( _def10 | ( op(e1, e4) != e2) )).
% 0.99/1.21  cnf(matrix-109, plain, ( _def10 | ( op(e1, e4) != e3) )).
% 0.99/1.21  cnf(matrix-110, plain, ( _def10 | ( op(e1, e4) != e4) )).
% 0.99/1.21  cnf(matrix-111, plain, ( _def11 | ( op(e2, e0) != e0) )).
% 0.99/1.21  cnf(matrix-112, plain, ( _def11 | ( op(e2, e0) != e1) )).
% 0.99/1.21  cnf(matrix-113, plain, ( _def11 | ( op(e2, e0) != e2) )).
% 0.99/1.21  cnf(matrix-114, plain, ( _def11 | ( op(e2, e0) != e3) )).
% 0.99/1.21  cnf(matrix-115, plain, ( _def11 | ( op(e2, e0) != e4) )).
% 0.99/1.21  cnf(matrix-116, plain, ( _def12 | ( op(e2, e1) != e0) )).
% 0.99/1.21  cnf(matrix-117, plain, ( _def12 | ( op(e2, e1) != e1) )).
% 0.99/1.21  cnf(matrix-118, plain, ( _def12 | ( op(e2, e1) != e2) )).
% 0.99/1.21  cnf(matrix-119, plain, ( _def12 | ( op(e2, e1) != e3) )).
% 0.99/1.21  cnf(matrix-120, plain, ( _def12 | ( op(e2, e1) != e4) )).
% 0.99/1.21  cnf(matrix-121, plain, ( _def13 | ( op(e2, e2) != e0) )).
% 0.99/1.21  cnf(matrix-122, plain, ( _def13 | ( op(e2, e2) != e1) )).
% 0.99/1.21  cnf(matrix-123, plain, ( _def13 | ( op(e2, e2) != e2) )).
% 0.99/1.21  cnf(matrix-124, plain, ( _def13 | ( op(e2, e2) != e3) )).
% 0.99/1.21  cnf(matrix-125, plain, ( _def13 | ( op(e2, e2) != e4) )).
% 0.99/1.21  cnf(matrix-126, plain, ( _def14 | ( op(e2, e3) != e0) )).
% 0.99/1.21  cnf(matrix-127, plain, ( _def14 | ( op(e2, e3) != e1) )).
% 0.99/1.21  cnf(matrix-128, plain, ( _def14 | ( op(e2, e3) != e2) )).
% 0.99/1.21  cnf(matrix-129, plain, ( _def14 | ( op(e2, e3) != e3) )).
% 0.99/1.21  cnf(matrix-130, plain, ( _def14 | ( op(e2, e3) != e4) )).
% 0.99/1.21  cnf(matrix-131, plain, ( _def15 | ( op(e2, e4) != e0) )).
% 0.99/1.21  cnf(matrix-132, plain, ( _def15 | ( op(e2, e4) != e1) )).
% 0.99/1.21  cnf(matrix-133, plain, ( _def15 | ( op(e2, e4) != e2) )).
% 0.99/1.21  cnf(matrix-134, plain, ( _def15 | ( op(e2, e4) != e3) )).
% 0.99/1.21  cnf(matrix-135, plain, ( _def15 | ( op(e2, e4) != e4) )).
% 0.99/1.21  cnf(matrix-136, plain, ( _def16 | ( op(e3, e0) != e0) )).
% 0.99/1.21  cnf(matrix-137, plain, ( _def16 | ( op(e3, e0) != e1) )).
% 0.99/1.21  cnf(matrix-138, plain, ( _def16 | ( op(e3, e0) != e2) )).
% 0.99/1.21  cnf(matrix-139, plain, ( _def16 | ( op(e3, e0) != e3) )).
% 0.99/1.21  cnf(matrix-140, plain, ( _def16 | ( op(e3, e0) != e4) )).
% 0.99/1.21  cnf(matrix-141, plain, ( _def17 | ( op(e3, e1) != e0) )).
% 0.99/1.21  cnf(matrix-142, plain, ( _def17 | ( op(e3, e1) != e1) )).
% 0.99/1.21  cnf(matrix-143, plain, ( _def17 | ( op(e3, e1) != e2) )).
% 0.99/1.21  cnf(matrix-144, plain, ( _def17 | ( op(e3, e1) != e3) )).
% 0.99/1.21  cnf(matrix-145, plain, ( _def17 | ( op(e3, e1) != e4) )).
% 0.99/1.21  cnf(matrix-146, plain, ( _def18 | ( op(e3, e2) != e0) )).
% 0.99/1.21  cnf(matrix-147, plain, ( _def18 | ( op(e3, e2) != e1) )).
% 0.99/1.21  cnf(matrix-148, plain, ( _def18 | ( op(e3, e2) != e2) )).
% 0.99/1.21  cnf(matrix-149, plain, ( _def18 | ( op(e3, e2) != e3) )).
% 0.99/1.21  cnf(matrix-150, plain, ( _def18 | ( op(e3, e2) != e4) )).
% 0.99/1.21  cnf(matrix-151, plain, ( _def19 | ( op(e3, e3) != e0) )).
% 0.99/1.21  cnf(matrix-152, plain, ( _def19 | ( op(e3, e3) != e1) )).
% 0.99/1.21  cnf(matrix-153, plain, ( _def19 | ( op(e3, e3) != e2) )).
% 0.99/1.21  cnf(matrix-154, plain, ( _def19 | ( op(e3, e3) != e3) )).
% 0.99/1.21  cnf(matrix-155, plain, ( _def19 | ( op(e3, e3) != e4) )).
% 0.99/1.21  cnf(matrix-156, plain, ( _def20 | ( op(e3, e4) != e0) )).
% 0.99/1.21  cnf(matrix-157, plain, ( _def20 | ( op(e3, e4) != e1) )).
% 0.99/1.21  cnf(matrix-158, plain, ( _def20 | ( op(e3, e4) != e2) )).
% 0.99/1.21  cnf(matrix-159, plain, ( _def20 | ( op(e3, e4) != e3) )).
% 0.99/1.21  cnf(matrix-160, plain, ( _def20 | ( op(e3, e4) != e4) )).
% 0.99/1.21  cnf(matrix-161, plain, ( _def21 | ( op(e4, e0) != e0) )).
% 0.99/1.21  cnf(matrix-162, plain, ( _def21 | ( op(e4, e0) != e1) )).
% 0.99/1.21  cnf(matrix-163, plain, ( _def21 | ( op(e4, e0) != e2) )).
% 0.99/1.21  cnf(matrix-164, plain, ( _def21 | ( op(e4, e0) != e3) )).
% 0.99/1.21  cnf(matrix-165, plain, ( _def21 | ( op(e4, e0) != e4) )).
% 0.99/1.21  cnf(matrix-166, plain, ( _def22 | ( op(e4, e1) != e0) )).
% 0.99/1.21  cnf(matrix-167, plain, ( _def22 | ( op(e4, e1) != e1) )).
% 0.99/1.21  cnf(matrix-168, plain, ( _def22 | ( op(e4, e1) != e2) )).
% 0.99/1.21  cnf(matrix-169, plain, ( _def22 | ( op(e4, e1) != e3) )).
% 0.99/1.21  cnf(matrix-170, plain, ( _def22 | ( op(e4, e1) != e4) )).
% 0.99/1.21  cnf(matrix-171, plain, ( _def23 | ( op(e4, e2) != e0) )).
% 0.99/1.21  cnf(matrix-172, plain, ( _def23 | ( op(e4, e2) != e1) )).
% 0.99/1.21  cnf(matrix-173, plain, ( _def23 | ( op(e4, e2) != e2) )).
% 0.99/1.21  cnf(matrix-174, plain, ( _def23 | ( op(e4, e2) != e3) )).
% 0.99/1.21  cnf(matrix-175, plain, ( _def23 | ( op(e4, e2) != e4) )).
% 0.99/1.21  cnf(matrix-176, plain, ( _def24 | ( op(e4, e3) != e0) )).
% 0.99/1.21  cnf(matrix-177, plain, ( _def24 | ( op(e4, e3) != e1) )).
% 0.99/1.21  cnf(matrix-178, plain, ( _def24 | ( op(e4, e3) != e2) )).
% 0.99/1.21  cnf(matrix-179, plain, ( _def24 | ( op(e4, e3) != e3) )).
% 0.99/1.21  cnf(matrix-180, plain, ( _def24 | ( op(e4, e3) != e4) )).
% 0.99/1.21  cnf(matrix-181, plain, ( _def25 | ( op(e4, e4) != e0) )).
% 0.99/1.21  cnf(matrix-182, plain, ( _def25 | ( op(e4, e4) != e1) )).
% 0.99/1.21  cnf(matrix-183, plain, ( _def25 | ( op(e4, e4) != e2) )).
% 0.99/1.21  cnf(matrix-184, plain, ( _def25 | ( op(e4, e4) != e3) )).
% 0.99/1.21  cnf(matrix-185, plain, ( _def25 | ( op(e4, e4) != e4) )).
% 0.99/1.21  cnf(matrix-186, plain, ( _def26 | ( unit != e0) )).
% 0.99/1.21  cnf(matrix-187, plain, ( _def26 | ( unit != e1) )).
% 0.99/1.21  cnf(matrix-188, plain, ( _def26 | ( unit != e2) )).
% 0.99/1.21  cnf(matrix-189, plain, ( _def26 | ( unit != e3) )).
% 0.99/1.21  cnf(matrix-190, plain, ( _def26 | ( unit != e4) )).
% 0.99/1.21  cnf(matrix-191, plain, ( _def27 | ( op(e0, e0) != e0) )).
% 0.99/1.21  cnf(matrix-192, plain, ( _def27 | ( op(e0, e1) != e0) )).
% 0.99/1.21  cnf(matrix-193, plain, ( _def27 | ( op(e0, e2) != e0) )).
% 0.99/1.21  cnf(matrix-194, plain, ( _def27 | ( op(e0, e3) != e0) )).
% 0.99/1.21  cnf(matrix-195, plain, ( _def27 | ( op(e0, e4) != e0) )).
% 0.99/1.21  cnf(matrix-196, plain, ( _def28 | ( op(e0, e0) != e0) )).
% 0.99/1.21  cnf(matrix-197, plain, ( _def28 | ( op(e1, e0) != e0) )).
% 0.99/1.21  cnf(matrix-198, plain, ( _def28 | ( op(e2, e0) != e0) )).
% 0.99/1.21  cnf(matrix-199, plain, ( _def28 | ( op(e3, e0) != e0) )).
% 0.99/1.21  cnf(matrix-200, plain, ( _def28 | ( op(e4, e0) != e0) )).
% 0.99/1.21  cnf(matrix-201, plain, ( _def29 | ( op(e0, e0) != e1) )).
% 0.99/1.21  cnf(matrix-202, plain, ( _def29 | ( op(e0, e1) != e1) )).
% 0.99/1.21  cnf(matrix-203, plain, ( _def29 | ( op(e0, e2) != e1) )).
% 0.99/1.21  cnf(matrix-204, plain, ( _def29 | ( op(e0, e3) != e1) )).
% 0.99/1.21  cnf(matrix-205, plain, ( _def29 | ( op(e0, e4) != e1) )).
% 0.99/1.21  cnf(matrix-206, plain, ( _def30 | ( op(e0, e0) != e1) )).
% 0.99/1.21  cnf(matrix-207, plain, ( _def30 | ( op(e1, e0) != e1) )).
% 0.99/1.21  cnf(matrix-208, plain, ( _def30 | ( op(e2, e0) != e1) )).
% 0.99/1.21  cnf(matrix-209, plain, ( _def30 | ( op(e3, e0) != e1) )).
% 0.99/1.21  cnf(matrix-210, plain, ( _def30 | ( op(e4, e0) != e1) )).
% 0.99/1.21  cnf(matrix-211, plain, ( _def31 | ( op(e0, e0) != e2) )).
% 0.99/1.21  cnf(matrix-212, plain, ( _def31 | ( op(e0, e1) != e2) )).
% 0.99/1.21  cnf(matrix-213, plain, ( _def31 | ( op(e0, e2) != e2) )).
% 0.99/1.21  cnf(matrix-214, plain, ( _def31 | ( op(e0, e3) != e2) )).
% 0.99/1.21  cnf(matrix-215, plain, ( _def31 | ( op(e0, e4) != e2) )).
% 0.99/1.21  cnf(matrix-216, plain, ( _def32 | ( op(e0, e0) != e2) )).
% 0.99/1.21  cnf(matrix-217, plain, ( _def32 | ( op(e1, e0) != e2) )).
% 0.99/1.21  cnf(matrix-218, plain, ( _def32 | ( op(e2, e0) != e2) )).
% 0.99/1.21  cnf(matrix-219, plain, ( _def32 | ( op(e3, e0) != e2) )).
% 0.99/1.21  cnf(matrix-220, plain, ( _def32 | ( op(e4, e0) != e2) )).
% 0.99/1.21  cnf(matrix-221, plain, ( _def33 | ( op(e0, e0) != e3) )).
% 0.99/1.21  cnf(matrix-222, plain, ( _def33 | ( op(e0, e1) != e3) )).
% 0.99/1.21  cnf(matrix-223, plain, ( _def33 | ( op(e0, e2) != e3) )).
% 0.99/1.21  cnf(matrix-224, plain, ( _def33 | ( op(e0, e3) != e3) )).
% 0.99/1.21  cnf(matrix-225, plain, ( _def33 | ( op(e0, e4) != e3) )).
% 0.99/1.21  cnf(matrix-226, plain, ( _def34 | ( op(e0, e0) != e3) )).
% 0.99/1.21  cnf(matrix-227, plain, ( _def34 | ( op(e1, e0) != e3) )).
% 0.99/1.21  cnf(matrix-228, plain, ( _def34 | ( op(e2, e0) != e3) )).
% 0.99/1.21  cnf(matrix-229, plain, ( _def34 | ( op(e3, e0) != e3) )).
% 0.99/1.21  cnf(matrix-230, plain, ( _def34 | ( op(e4, e0) != e3) )).
% 0.99/1.21  cnf(matrix-231, plain, ( _def35 | ( op(e0, e0) != e4) )).
% 0.99/1.21  cnf(matrix-232, plain, ( _def35 | ( op(e0, e1) != e4) )).
% 0.99/1.21  cnf(matrix-233, plain, ( _def35 | ( op(e0, e2) != e4) )).
% 0.99/1.21  cnf(matrix-234, plain, ( _def35 | ( op(e0, e3) != e4) )).
% 0.99/1.21  cnf(matrix-235, plain, ( _def35 | ( op(e0, e4) != e4) )).
% 0.99/1.21  cnf(matrix-236, plain, ( _def36 | ( op(e0, e0) != e4) )).
% 0.99/1.21  cnf(matrix-237, plain, ( _def36 | ( op(e1, e0) != e4) )).
% 0.99/1.21  cnf(matrix-238, plain, ( _def36 | ( op(e2, e0) != e4) )).
% 0.99/1.21  cnf(matrix-239, plain, ( _def36 | ( op(e3, e0) != e4) )).
% 0.99/1.21  cnf(matrix-240, plain, ( _def36 | ( op(e4, e0) != e4) )).
% 0.99/1.21  cnf(matrix-241, plain, ( _def37 | ( op(e1, e0) != e0) )).
% 0.99/1.21  cnf(matrix-242, plain, ( _def37 | ( op(e1, e1) != e0) )).
% 0.99/1.21  cnf(matrix-243, plain, ( _def37 | ( op(e1, e2) != e0) )).
% 0.99/1.21  cnf(matrix-244, plain, ( _def37 | ( op(e1, e3) != e0) )).
% 0.99/1.21  cnf(matrix-245, plain, ( _def37 | ( op(e1, e4) != e0) )).
% 0.99/1.21  cnf(matrix-246, plain, ( _def38 | ( op(e0, e1) != e0) )).
% 0.99/1.21  cnf(matrix-247, plain, ( _def38 | ( op(e1, e1) != e0) )).
% 0.99/1.21  cnf(matrix-248, plain, ( _def38 | ( op(e2, e1) != e0) )).
% 0.99/1.21  cnf(matrix-249, plain, ( _def38 | ( op(e3, e1) != e0) )).
% 0.99/1.21  cnf(matrix-250, plain, ( _def38 | ( op(e4, e1) != e0) )).
% 0.99/1.21  cnf(matrix-251, plain, ( _def39 | ( op(e1, e0) != e1) )).
% 0.99/1.21  cnf(matrix-252, plain, ( _def39 | ( op(e1, e1) != e1) )).
% 0.99/1.21  cnf(matrix-253, plain, ( _def39 | ( op(e1, e2) != e1) )).
% 0.99/1.21  cnf(matrix-254, plain, ( _def39 | ( op(e1, e3) != e1) )).
% 0.99/1.21  cnf(matrix-255, plain, ( _def39 | ( op(e1, e4) != e1) )).
% 0.99/1.21  cnf(matrix-256, plain, ( _def40 | ( op(e0, e1) != e1) )).
% 0.99/1.21  cnf(matrix-257, plain, ( _def40 | ( op(e1, e1) != e1) )).
% 0.99/1.21  cnf(matrix-258, plain, ( _def40 | ( op(e2, e1) != e1) )).
% 0.99/1.21  cnf(matrix-259, plain, ( _def40 | ( op(e3, e1) != e1) )).
% 0.99/1.21  cnf(matrix-260, plain, ( _def40 | ( op(e4, e1) != e1) )).
% 0.99/1.21  cnf(matrix-261, plain, ( _def41 | ( op(e1, e0) != e2) )).
% 0.99/1.21  cnf(matrix-262, plain, ( _def41 | ( op(e1, e1) != e2) )).
% 0.99/1.21  cnf(matrix-263, plain, ( _def41 | ( op(e1, e2) != e2) )).
% 0.99/1.21  cnf(matrix-264, plain, ( _def41 | ( op(e1, e3) != e2) )).
% 0.99/1.21  cnf(matrix-265, plain, ( _def41 | ( op(e1, e4) != e2) )).
% 0.99/1.21  cnf(matrix-266, plain, ( _def42 | ( op(e0, e1) != e2) )).
% 0.99/1.21  cnf(matrix-267, plain, ( _def42 | ( op(e1, e1) != e2) )).
% 0.99/1.21  cnf(matrix-268, plain, ( _def42 | ( op(e2, e1) != e2) )).
% 0.99/1.21  cnf(matrix-269, plain, ( _def42 | ( op(e3, e1) != e2) )).
% 0.99/1.21  cnf(matrix-270, plain, ( _def42 | ( op(e4, e1) != e2) )).
% 0.99/1.21  cnf(matrix-271, plain, ( _def43 | ( op(e1, e0) != e3) )).
% 0.99/1.21  cnf(matrix-272, plain, ( _def43 | ( op(e1, e1) != e3) )).
% 0.99/1.21  cnf(matrix-273, plain, ( _def43 | ( op(e1, e2) != e3) )).
% 0.99/1.21  cnf(matrix-274, plain, ( _def43 | ( op(e1, e3) != e3) )).
% 0.99/1.21  cnf(matrix-275, plain, ( _def43 | ( op(e1, e4) != e3) )).
% 0.99/1.21  cnf(matrix-276, plain, ( _def44 | ( op(e0, e1) != e3) )).
% 0.99/1.21  cnf(matrix-277, plain, ( _def44 | ( op(e1, e1) != e3) )).
% 0.99/1.21  cnf(matrix-278, plain, ( _def44 | ( op(e2, e1) != e3) )).
% 0.99/1.21  cnf(matrix-279, plain, ( _def44 | ( op(e3, e1) != e3) )).
% 0.99/1.21  cnf(matrix-280, plain, ( _def44 | ( op(e4, e1) != e3) )).
% 0.99/1.21  cnf(matrix-281, plain, ( _def45 | ( op(e1, e0) != e4) )).
% 0.99/1.21  cnf(matrix-282, plain, ( _def45 | ( op(e1, e1) != e4) )).
% 0.99/1.21  cnf(matrix-283, plain, ( _def45 | ( op(e1, e2) != e4) )).
% 0.99/1.21  cnf(matrix-284, plain, ( _def45 | ( op(e1, e3) != e4) )).
% 0.99/1.21  cnf(matrix-285, plain, ( _def45 | ( op(e1, e4) != e4) )).
% 0.99/1.21  cnf(matrix-286, plain, ( _def46 | ( op(e0, e1) != e4) )).
% 0.99/1.21  cnf(matrix-287, plain, ( _def46 | ( op(e1, e1) != e4) )).
% 0.99/1.21  cnf(matrix-288, plain, ( _def46 | ( op(e2, e1) != e4) )).
% 0.99/1.21  cnf(matrix-289, plain, ( _def46 | ( op(e3, e1) != e4) )).
% 0.99/1.21  cnf(matrix-290, plain, ( _def46 | ( op(e4, e1) != e4) )).
% 0.99/1.21  cnf(matrix-291, plain, ( _def47 | ( op(e2, e0) != e0) )).
% 0.99/1.21  cnf(matrix-292, plain, ( _def47 | ( op(e2, e1) != e0) )).
% 0.99/1.21  cnf(matrix-293, plain, ( _def47 | ( op(e2, e2) != e0) )).
% 0.99/1.21  cnf(matrix-294, plain, ( _def47 | ( op(e2, e3) != e0) )).
% 0.99/1.21  cnf(matrix-295, plain, ( _def47 | ( op(e2, e4) != e0) )).
% 0.99/1.21  cnf(matrix-296, plain, ( _def48 | ( op(e0, e2) != e0) )).
% 0.99/1.21  cnf(matrix-297, plain, ( _def48 | ( op(e1, e2) != e0) )).
% 0.99/1.21  cnf(matrix-298, plain, ( _def48 | ( op(e2, e2) != e0) )).
% 0.99/1.21  cnf(matrix-299, plain, ( _def48 | ( op(e3, e2) != e0) )).
% 0.99/1.21  cnf(matrix-300, plain, ( _def48 | ( op(e4, e2) != e0) )).
% 0.99/1.21  cnf(matrix-301, plain, ( _def49 | ( op(e2, e0) != e1) )).
% 0.99/1.21  cnf(matrix-302, plain, ( _def49 | ( op(e2, e1) != e1) )).
% 0.99/1.21  cnf(matrix-303, plain, ( _def49 | ( op(e2, e2) != e1) )).
% 0.99/1.21  cnf(matrix-304, plain, ( _def49 | ( op(e2, e3) != e1) )).
% 0.99/1.21  cnf(matrix-305, plain, ( _def49 | ( op(e2, e4) != e1) )).
% 0.99/1.21  cnf(matrix-306, plain, ( _def50 | ( op(e0, e2) != e1) )).
% 0.99/1.21  cnf(matrix-307, plain, ( _def50 | ( op(e1, e2) != e1) )).
% 0.99/1.21  cnf(matrix-308, plain, ( _def50 | ( op(e2, e2) != e1) )).
% 0.99/1.21  cnf(matrix-309, plain, ( _def50 | ( op(e3, e2) != e1) )).
% 0.99/1.21  cnf(matrix-310, plain, ( _def50 | ( op(e4, e2) != e1) )).
% 0.99/1.21  cnf(matrix-311, plain, ( _def51 | ( op(e2, e0) != e2) )).
% 0.99/1.21  cnf(matrix-312, plain, ( _def51 | ( op(e2, e1) != e2) )).
% 0.99/1.21  cnf(matrix-313, plain, ( _def51 | ( op(e2, e2) != e2) )).
% 0.99/1.21  cnf(matrix-314, plain, ( _def51 | ( op(e2, e3) != e2) )).
% 0.99/1.21  cnf(matrix-315, plain, ( _def51 | ( op(e2, e4) != e2) )).
% 0.99/1.21  cnf(matrix-316, plain, ( _def52 | ( op(e0, e2) != e2) )).
% 0.99/1.21  cnf(matrix-317, plain, ( _def52 | ( op(e1, e2) != e2) )).
% 0.99/1.21  cnf(matrix-318, plain, ( _def52 | ( op(e2, e2) != e2) )).
% 0.99/1.21  cnf(matrix-319, plain, ( _def52 | ( op(e3, e2) != e2) )).
% 0.99/1.21  cnf(matrix-320, plain, ( _def52 | ( op(e4, e2) != e2) )).
% 0.99/1.21  cnf(matrix-321, plain, ( _def53 | ( op(e2, e0) != e3) )).
% 0.99/1.21  cnf(matrix-322, plain, ( _def53 | ( op(e2, e1) != e3) )).
% 0.99/1.21  cnf(matrix-323, plain, ( _def53 | ( op(e2, e2) != e3) )).
% 0.99/1.21  cnf(matrix-324, plain, ( _def53 | ( op(e2, e3) != e3) )).
% 0.99/1.21  cnf(matrix-325, plain, ( _def53 | ( op(e2, e4) != e3) )).
% 0.99/1.21  cnf(matrix-326, plain, ( _def54 | ( op(e0, e2) != e3) )).
% 0.99/1.21  cnf(matrix-327, plain, ( _def54 | ( op(e1, e2) != e3) )).
% 0.99/1.21  cnf(matrix-328, plain, ( _def54 | ( op(e2, e2) != e3) )).
% 0.99/1.21  cnf(matrix-329, plain, ( _def54 | ( op(e3, e2) != e3) )).
% 0.99/1.21  cnf(matrix-330, plain, ( _def54 | ( op(e4, e2) != e3) )).
% 0.99/1.21  cnf(matrix-331, plain, ( _def55 | ( op(e2, e0) != e4) )).
% 0.99/1.21  cnf(matrix-332, plain, ( _def55 | ( op(e2, e1) != e4) )).
% 0.99/1.21  cnf(matrix-333, plain, ( _def55 | ( op(e2, e2) != e4) )).
% 0.99/1.21  cnf(matrix-334, plain, ( _def55 | ( op(e2, e3) != e4) )).
% 0.99/1.21  cnf(matrix-335, plain, ( _def55 | ( op(e2, e4) != e4) )).
% 0.99/1.21  cnf(matrix-336, plain, ( _def56 | ( op(e0, e2) != e4) )).
% 0.99/1.21  cnf(matrix-337, plain, ( _def56 | ( op(e1, e2) != e4) )).
% 0.99/1.21  cnf(matrix-338, plain, ( _def56 | ( op(e2, e2) != e4) )).
% 0.99/1.21  cnf(matrix-339, plain, ( _def56 | ( op(e3, e2) != e4) )).
% 0.99/1.21  cnf(matrix-340, plain, ( _def56 | ( op(e4, e2) != e4) )).
% 0.99/1.21  cnf(matrix-341, plain, ( _def57 | ( op(e3, e0) != e0) )).
% 0.99/1.21  cnf(matrix-342, plain, ( _def57 | ( op(e3, e1) != e0) )).
% 0.99/1.21  cnf(matrix-343, plain, ( _def57 | ( op(e3, e2) != e0) )).
% 0.99/1.21  cnf(matrix-344, plain, ( _def57 | ( op(e3, e3) != e0) )).
% 0.99/1.21  cnf(matrix-345, plain, ( _def57 | ( op(e3, e4) != e0) )).
% 0.99/1.21  cnf(matrix-346, plain, ( _def58 | ( op(e0, e3) != e0) )).
% 0.99/1.21  cnf(matrix-347, plain, ( _def58 | ( op(e1, e3) != e0) )).
% 0.99/1.21  cnf(matrix-348, plain, ( _def58 | ( op(e2, e3) != e0) )).
% 0.99/1.21  cnf(matrix-349, plain, ( _def58 | ( op(e3, e3) != e0) )).
% 0.99/1.21  cnf(matrix-350, plain, ( _def58 | ( op(e4, e3) != e0) )).
% 0.99/1.21  cnf(matrix-351, plain, ( _def59 | ( op(e3, e0) != e1) )).
% 0.99/1.21  cnf(matrix-352, plain, ( _def59 | ( op(e3, e1) != e1) )).
% 0.99/1.21  cnf(matrix-353, plain, ( _def59 | ( op(e3, e2) != e1) )).
% 0.99/1.21  cnf(matrix-354, plain, ( _def59 | ( op(e3, e3) != e1) )).
% 0.99/1.21  cnf(matrix-355, plain, ( _def59 | ( op(e3, e4) != e1) )).
% 0.99/1.21  cnf(matrix-356, plain, ( _def60 | ( op(e0, e3) != e1) )).
% 0.99/1.21  cnf(matrix-357, plain, ( _def60 | ( op(e1, e3) != e1) )).
% 0.99/1.21  cnf(matrix-358, plain, ( _def60 | ( op(e2, e3) != e1) )).
% 0.99/1.21  cnf(matrix-359, plain, ( _def60 | ( op(e3, e3) != e1) )).
% 0.99/1.21  cnf(matrix-360, plain, ( _def60 | ( op(e4, e3) != e1) )).
% 0.99/1.21  cnf(matrix-361, plain, ( _def61 | ( op(e3, e0) != e2) )).
% 0.99/1.21  cnf(matrix-362, plain, ( _def61 | ( op(e3, e1) != e2) )).
% 0.99/1.21  cnf(matrix-363, plain, ( _def61 | ( op(e3, e2) != e2) )).
% 0.99/1.21  cnf(matrix-364, plain, ( _def61 | ( op(e3, e3) != e2) )).
% 0.99/1.21  cnf(matrix-365, plain, ( _def61 | ( op(e3, e4) != e2) )).
% 0.99/1.21  cnf(matrix-366, plain, ( _def62 | ( op(e0, e3) != e2) )).
% 0.99/1.21  cnf(matrix-367, plain, ( _def62 | ( op(e1, e3) != e2) )).
% 0.99/1.21  cnf(matrix-368, plain, ( _def62 | ( op(e2, e3) != e2) )).
% 0.99/1.21  cnf(matrix-369, plain, ( _def62 | ( op(e3, e3) != e2) )).
% 0.99/1.21  cnf(matrix-370, plain, ( _def62 | ( op(e4, e3) != e2) )).
% 0.99/1.21  cnf(matrix-371, plain, ( _def63 | ( op(e3, e0) != e3) )).
% 0.99/1.21  cnf(matrix-372, plain, ( _def63 | ( op(e3, e1) != e3) )).
% 0.99/1.21  cnf(matrix-373, plain, ( _def63 | ( op(e3, e2) != e3) )).
% 0.99/1.21  cnf(matrix-374, plain, ( _def63 | ( op(e3, e3) != e3) )).
% 0.99/1.21  cnf(matrix-375, plain, ( _def63 | ( op(e3, e4) != e3) )).
% 0.99/1.21  cnf(matrix-376, plain, ( _def64 | ( op(e0, e3) != e3) )).
% 0.99/1.21  cnf(matrix-377, plain, ( _def64 | ( op(e1, e3) != e3) )).
% 0.99/1.21  cnf(matrix-378, plain, ( _def64 | ( op(e2, e3) != e3) )).
% 0.99/1.21  cnf(matrix-379, plain, ( _def64 | ( op(e3, e3) != e3) )).
% 0.99/1.21  cnf(matrix-380, plain, ( _def64 | ( op(e4, e3) != e3) )).
% 0.99/1.21  cnf(matrix-381, plain, ( _def65 | ( op(e3, e0) != e4) )).
% 0.99/1.21  cnf(matrix-382, plain, ( _def65 | ( op(e3, e1) != e4) )).
% 0.99/1.21  cnf(matrix-383, plain, ( _def65 | ( op(e3, e2) != e4) )).
% 0.99/1.21  cnf(matrix-384, plain, ( _def65 | ( op(e3, e3) != e4) )).
% 0.99/1.21  cnf(matrix-385, plain, ( _def65 | ( op(e3, e4) != e4) )).
% 0.99/1.21  cnf(matrix-386, plain, ( _def66 | ( op(e0, e3) != e4) )).
% 0.99/1.21  cnf(matrix-387, plain, ( _def66 | ( op(e1, e3) != e4) )).
% 0.99/1.21  cnf(matrix-388, plain, ( _def66 | ( op(e2, e3) != e4) )).
% 0.99/1.21  cnf(matrix-389, plain, ( _def66 | ( op(e3, e3) != e4) )).
% 0.99/1.21  cnf(matrix-390, plain, ( _def66 | ( op(e4, e3) != e4) )).
% 0.99/1.21  cnf(matrix-391, plain, ( _def67 | ( op(e4, e0) != e0) )).
% 0.99/1.21  cnf(matrix-392, plain, ( _def67 | ( op(e4, e1) != e0) )).
% 0.99/1.21  cnf(matrix-393, plain, ( _def67 | ( op(e4, e2) != e0) )).
% 0.99/1.21  cnf(matrix-394, plain, ( _def67 | ( op(e4, e3) != e0) )).
% 0.99/1.21  cnf(matrix-395, plain, ( _def67 | ( op(e4, e4) != e0) )).
% 0.99/1.21  cnf(matrix-396, plain, ( _def68 | ( op(e0, e4) != e0) )).
% 0.99/1.21  cnf(matrix-397, plain, ( _def68 | ( op(e1, e4) != e0) )).
% 0.99/1.21  cnf(matrix-398, plain, ( _def68 | ( op(e2, e4) != e0) )).
% 0.99/1.21  cnf(matrix-399, plain, ( _def68 | ( op(e3, e4) != e0) )).
% 0.99/1.21  cnf(matrix-400, plain, ( _def68 | ( op(e4, e4) != e0) )).
% 0.99/1.21  cnf(matrix-401, plain, ( _def69 | ( op(e4, e0) != e1) )).
% 0.99/1.21  cnf(matrix-402, plain, ( _def69 | ( op(e4, e1) != e1) )).
% 0.99/1.21  cnf(matrix-403, plain, ( _def69 | ( op(e4, e2) != e1) )).
% 0.99/1.21  cnf(matrix-404, plain, ( _def69 | ( op(e4, e3) != e1) )).
% 0.99/1.21  cnf(matrix-405, plain, ( _def69 | ( op(e4, e4) != e1) )).
% 0.99/1.21  cnf(matrix-406, plain, ( _def70 | ( op(e0, e4) != e1) )).
% 0.99/1.21  cnf(matrix-407, plain, ( _def70 | ( op(e1, e4) != e1) )).
% 0.99/1.21  cnf(matrix-408, plain, ( _def70 | ( op(e2, e4) != e1) )).
% 0.99/1.21  cnf(matrix-409, plain, ( _def70 | ( op(e3, e4) != e1) )).
% 0.99/1.21  cnf(matrix-410, plain, ( _def70 | ( op(e4, e4) != e1) )).
% 0.99/1.21  cnf(matrix-411, plain, ( _def71 | ( op(e4, e0) != e2) )).
% 0.99/1.21  cnf(matrix-412, plain, ( _def71 | ( op(e4, e1) != e2) )).
% 0.99/1.21  cnf(matrix-413, plain, ( _def71 | ( op(e4, e2) != e2) )).
% 0.99/1.21  cnf(matrix-414, plain, ( _def71 | ( op(e4, e3) != e2) )).
% 0.99/1.21  cnf(matrix-415, plain, ( _def71 | ( op(e4, e4) != e2) )).
% 0.99/1.21  cnf(matrix-416, plain, ( _def72 | ( op(e0, e4) != e2) )).
% 0.99/1.21  cnf(matrix-417, plain, ( _def72 | ( op(e1, e4) != e2) )).
% 0.99/1.21  cnf(matrix-418, plain, ( _def72 | ( op(e2, e4) != e2) )).
% 0.99/1.21  cnf(matrix-419, plain, ( _def72 | ( op(e3, e4) != e2) )).
% 0.99/1.21  cnf(matrix-420, plain, ( _def72 | ( op(e4, e4) != e2) )).
% 0.99/1.21  cnf(matrix-421, plain, ( _def73 | ( op(e4, e0) != e3) )).
% 0.99/1.21  cnf(matrix-422, plain, ( _def73 | ( op(e4, e1) != e3) )).
% 0.99/1.21  cnf(matrix-423, plain, ( _def73 | ( op(e4, e2) != e3) )).
% 0.99/1.21  cnf(matrix-424, plain, ( _def73 | ( op(e4, e3) != e3) )).
% 0.99/1.21  cnf(matrix-425, plain, ( _def73 | ( op(e4, e4) != e3) )).
% 0.99/1.21  cnf(matrix-426, plain, ( _def74 | ( op(e0, e4) != e3) )).
% 0.99/1.21  cnf(matrix-427, plain, ( _def74 | ( op(e1, e4) != e3) )).
% 0.99/1.21  cnf(matrix-428, plain, ( _def74 | ( op(e2, e4) != e3) )).
% 0.99/1.21  cnf(matrix-429, plain, ( _def74 | ( op(e3, e4) != e3) )).
% 0.99/1.21  cnf(matrix-430, plain, ( _def74 | ( op(e4, e4) != e3) )).
% 0.99/1.21  cnf(matrix-431, plain, ( _def75 | ( op(e4, e0) != e4) )).
% 0.99/1.21  cnf(matrix-432, plain, ( _def75 | ( op(e4, e1) != e4) )).
% 0.99/1.21  cnf(matrix-433, plain, ( _def75 | ( op(e4, e2) != e4) )).
% 0.99/1.21  cnf(matrix-434, plain, ( _def75 | ( op(e4, e3) != e4) )).
% 0.99/1.21  cnf(matrix-435, plain, ( _def75 | ( op(e4, e4) != e4) )).
% 0.99/1.21  cnf(matrix-436, plain, ( _def76 | ( op(e0, e4) != e4) )).
% 0.99/1.21  cnf(matrix-437, plain, ( _def76 | ( op(e1, e4) != e4) )).
% 0.99/1.21  cnf(matrix-438, plain, ( _def76 | ( op(e2, e4) != e4) )).
% 0.99/1.21  cnf(matrix-439, plain, ( _def76 | ( op(e3, e4) != e4) )).
% 0.99/1.21  cnf(matrix-440, plain, ( _def76 | ( op(e4, e4) != e4) )).
% 0.99/1.21  
% 0.99/1.21  % Proof stack:
% 0.99/1.21  cnf(proof-stack, plain, 
% 0.99/1.21  proof_stack(
% 0.99/1.21  start(40), 
% 0.99/1.21  left_branch(0, 50, 0, 2), 
% 0.99/1.21  left_branch(0, 1, 0, 3), 
% 0.99/1.21  left_branch(0, 2, 0, 4), 
% 0.99/1.21  left_branch(0, 12, 0, 5), 
% 0.99/1.21  right_branch(5), 
% 0.99/1.21  left_branch(0, 25, 0, 6), 
% 0.99/1.21  right_branch(6), 
% 0.99/1.21  right_branch(4), 
% 0.99/1.21  right_branch(3), 
% 0.99/1.21  left_branch(0, 20, 0, 4), 
% 0.99/1.21  right_branch(4), 
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% 0.99/1.21  left_branch(0, 36, 0, 67), 
% 0.99/1.21  right_branch(67), 
% 0.99/1.21  right_branch(66), 
% 0.99/1.21  left_branch(0, 169, 0, 67), 
% 0.99/1.21  left_branch(0, 35, 0, 68), 
% 0.99/1.21  right_branch(68), 
% 0.99/1.21  right_branch(67), 
% 0.99/1.21  left_branch(0, 165, 0, 68), 
% 0.99/1.21  left_branch(0, 34, 0, 69), 
% 0.99/1.21  right_branch(69), 
% 0.99/1.21  right_branch(68), 
% 0.99/1.21  left_branch(0, 158, 0, 69), 
% 0.99/1.21  left_branch(0, 33, 0, 70), 
% 0.99/1.21  right_branch(70), 
% 0.99/1.21  right_branch(69), 
% 0.99/1.21  left_branch(0, 152, 0, 70), 
% 0.99/1.21  left_branch(0, 32, 0, 71), 
% 0.99/1.21  right_branch(71), 
% 0.99/1.21  right_branch(70), 
% 0.99/1.21  left_branch(0, 150, 0, 71), 
% 0.99/1.21  left_branch(0, 31, 0, 72), 
% 0.99/1.21  right_branch(72), 
% 0.99/1.21  right_branch(71), 
% 0.99/1.21  left_branch(0, 141, 0, 72), 
% 0.99/1.21  left_branch(0, 30, 0, 73), 
% 0.99/1.21  right_branch(73), 
% 0.99/1.21  right_branch(72), 
% 0.99/1.21  left_branch(0, 139, 0, 73), 
% 0.99/1.21  left_branch(0, 29, 0, 74), 
% 0.99/1.21  right_branch(74), 
% 0.99/1.21  right_branch(73), 
% 0.99/1.21  left_branch(0, 134, 0, 74), 
% 0.99/1.21  left_branch(0, 28, 0, 75), 
% 0.99/1.21  right_branch(75), 
% 0.99/1.21  right_branch(74), 
% 0.99/1.21  left_branch(0, 126, 0, 75), 
% 0.99/1.21  left_branch(0, 27, 0, 76), 
% 0.99/1.21  right_branch(76), 
% 0.99/1.21  right_branch(75), 
% 0.99/1.21  left_branch(0, 122, 0, 76), 
% 0.99/1.21  left_branch(0, 26, 0, 77), 
% 0.99/1.21  right_branch(77), 
% 0.99/1.21  right_branch(76), 
% 0.99/1.21  left_branch(0, 120, 0, 77), 
% 0.99/1.21  left_branch(0, 25, 0, 78), 
% 0.99/1.21  right_branch(78), 
% 0.99/1.21  right_branch(77), 
% 0.99/1.21  left_branch(0, 113, 0, 78), 
% 0.99/1.21  left_branch(0, 24, 0, 79), 
% 0.99/1.21  right_branch(79), 
% 0.99/1.21  right_branch(78), 
% 0.99/1.21  left_branch(0, 106, 0, 79), 
% 0.99/1.21  left_branch(0, 23, 0, 80), 
% 0.99/1.21  right_branch(80), 
% 0.99/1.21  right_branch(79), 
% 0.99/1.21  left_branch(0, 105, 0, 80), 
% 0.99/1.21  left_branch(0, 22, 0, 81), 
% 0.99/1.21  right_branch(81), 
% 0.99/1.21  right_branch(80), 
% 0.99/1.21  left_branch(0, 99, 0, 81), 
% 0.99/1.21  left_branch(0, 21, 0, 82), 
% 0.99/1.21  right_branch(82), 
% 0.99/1.21  right_branch(81), 
% 0.99/1.21  left_branch(0, 93, 0, 82), 
% 0.99/1.21  left_branch(0, 20, 0, 83), 
% 0.99/1.21  right_branch(83), 
% 0.99/1.21  right_branch(82), 
% 0.99/1.21  left_branch(0, 87, 0, 83), 
% 0.99/1.21  left_branch(0, 19, 0, 84), 
% 0.99/1.21  right_branch(84), 
% 0.99/1.21  right_branch(83), 
% 0.99/1.21  left_branch(0, 85, 0, 84), 
% 0.99/1.21  left_branch(0, 18, 0, 85), 
% 0.99/1.21  right_branch(85), 
% 0.99/1.21  right_branch(84), 
% 0.99/1.21  left_branch(0, 79, 0, 85), 
% 0.99/1.21  left_branch(0, 17, 0, 86), 
% 0.99/1.21  right_branch(86), 
% 0.99/1.21  right_branch(85), 
% 0.99/1.21  left_branch(0, 73, 0, 86), 
% 0.99/1.21  left_branch(0, 16, 0, 87), 
% 0.99/1.21  right_branch(87), 
% 0.99/1.21  right_branch(86), 
% 0.99/1.21  left_branch(0, 67, 0, 87), 
% 0.99/1.21  left_branch(0, 15, 0, 88), 
% 0.99/1.21  right_branch(88), 
% 0.99/1.21  right_branch(87), 
% 0.99/1.21  left_branch(0, 61, 0, 88), 
% 0.99/1.21  left_branch(0, 14, 0, 89), 
% 0.99/1.21  right_branch(89), 
% 0.99/1.21  right_branch(88)
% 0.99/1.21  )).
% 0.99/1.21  % SZS output end Proof for theBenchmark
%------------------------------------------------------------------------------