TSTP Solution File: ALG173+1 by CSE---1.6

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CSE---1.6
% Problem  : ALG173+1 : TPTP v8.1.2. Released v2.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d

% Computer : n012.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 : Wed Aug 30 15:58:58 EDT 2023

% Result   : Theorem 72.79s 72.87s
% Output   : CNFRefutation 72.90s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : ALG173+1 : TPTP v8.1.2. Released v2.7.0.
% 0.00/0.14  % Command    : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.14/0.35  % Computer : n012.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Mon Aug 28 03:25:39 EDT 2023
% 0.14/0.35  % CPUTime    : 
% 0.20/0.57  start to proof:theBenchmark
% 72.79/72.85  %-------------------------------------------
% 72.79/72.85  % File        :CSE---1.6
% 72.79/72.85  % Problem     :theBenchmark
% 72.79/72.85  % Transform   :cnf
% 72.79/72.85  % Format      :tptp:raw
% 72.79/72.85  % Command     :java -jar mcs_scs.jar %d %s
% 72.79/72.85  
% 72.79/72.85  % Result      :Theorem 72.190000s
% 72.79/72.85  % Output      :CNFRefutation 72.190000s
% 72.79/72.85  %-------------------------------------------
% 72.79/72.85  %--------------------------------------------------------------------------
% 72.79/72.85  % File     : ALG173+1 : TPTP v8.1.2. Released v2.7.0.
% 72.79/72.85  % Domain   : General Algebra
% 72.79/72.85  % Problem  : Quasigroups 5 QG4: CPROPS-PAIRWISE-EXCLUSIVE-PROBLEM-4
% 72.79/72.85  % Version  : Especial.
% 72.79/72.85  % English  :
% 72.79/72.85  
% 72.79/72.85  % Refs     : [Mei03] Meier (2003), Email to G.Sutcliffe
% 72.79/72.85  %          : [CM+04] Colton et al. (2004), Automatic Generation of Classifi
% 72.79/72.85  % Source   : [Mei03]
% 72.79/72.85  % Names    :
% 72.79/72.85  
% 72.79/72.85  % Status   : Theorem
% 72.79/72.85  % Rating   : 0.04 v8.1.0, 0.00 v5.3.0, 0.18 v5.2.0, 0.25 v5.0.0, 0.00 v3.7.0, 0.14 v3.5.0, 0.11 v3.4.0, 0.08 v3.3.0, 0.00 v3.2.0, 0.11 v2.7.0
% 72.79/72.85  % Syntax   : Number of formulae    :    7 (   0 unt;   0 def)
% 72.79/72.85  %            Number of atoms       :  564 ( 564 equ)
% 72.79/72.85  %            Maximal formula atoms :  250 (  80 avg)
% 72.79/72.85  %            Number of connectives :  693 ( 136   ~; 304   |; 253   &)
% 72.79/72.85  %                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
% 72.79/72.85  %            Maximal formula depth :  101 (  36 avg)
% 72.79/72.85  %            Maximal term depth    :    4 (   1 avg)
% 72.79/72.85  %            Number of predicates  :    1 (   0 usr;   0 prp; 2-2 aty)
% 72.79/72.85  %            Number of functors    :    6 (   6 usr;   5 con; 0-2 aty)
% 72.79/72.85  %            Number of variables   :    0 (   0   !;   0   ?)
% 72.79/72.85  % SPC      : FOF_THM_RFO_PEQ
% 72.79/72.85  
% 72.79/72.85  % Comments :
% 72.79/72.85  %--------------------------------------------------------------------------
% 72.79/72.85  fof(ax1,axiom,
% 72.79/72.85      ( ( op(e0,e0) = e0
% 72.79/72.85        | op(e0,e0) = e1
% 72.79/72.85        | op(e0,e0) = e2
% 72.79/72.85        | op(e0,e0) = e3
% 72.79/72.85        | op(e0,e0) = e4 )
% 72.79/72.85      & ( op(e0,e1) = e0
% 72.79/72.86        | op(e0,e1) = e1
% 72.79/72.86        | op(e0,e1) = e2
% 72.79/72.86        | op(e0,e1) = e3
% 72.79/72.86        | op(e0,e1) = e4 )
% 72.79/72.86      & ( op(e0,e2) = e0
% 72.79/72.86        | op(e0,e2) = e1
% 72.79/72.86        | op(e0,e2) = e2
% 72.79/72.86        | op(e0,e2) = e3
% 72.79/72.86        | op(e0,e2) = e4 )
% 72.79/72.86      & ( op(e0,e3) = e0
% 72.79/72.86        | op(e0,e3) = e1
% 72.79/72.86        | op(e0,e3) = e2
% 72.79/72.86        | op(e0,e3) = e3
% 72.79/72.86        | op(e0,e3) = e4 )
% 72.79/72.86      & ( op(e0,e4) = e0
% 72.79/72.86        | op(e0,e4) = e1
% 72.79/72.86        | op(e0,e4) = e2
% 72.79/72.86        | op(e0,e4) = e3
% 72.79/72.86        | op(e0,e4) = e4 )
% 72.79/72.86      & ( op(e1,e0) = e0
% 72.79/72.86        | op(e1,e0) = e1
% 72.79/72.86        | op(e1,e0) = e2
% 72.79/72.86        | op(e1,e0) = e3
% 72.79/72.86        | op(e1,e0) = e4 )
% 72.79/72.86      & ( op(e1,e1) = e0
% 72.79/72.86        | op(e1,e1) = e1
% 72.79/72.86        | op(e1,e1) = e2
% 72.79/72.86        | op(e1,e1) = e3
% 72.79/72.86        | op(e1,e1) = e4 )
% 72.79/72.86      & ( op(e1,e2) = e0
% 72.79/72.86        | op(e1,e2) = e1
% 72.79/72.86        | op(e1,e2) = e2
% 72.79/72.86        | op(e1,e2) = e3
% 72.79/72.86        | op(e1,e2) = e4 )
% 72.79/72.86      & ( op(e1,e3) = e0
% 72.79/72.86        | op(e1,e3) = e1
% 72.79/72.86        | op(e1,e3) = e2
% 72.79/72.86        | op(e1,e3) = e3
% 72.79/72.86        | op(e1,e3) = e4 )
% 72.79/72.86      & ( op(e1,e4) = e0
% 72.79/72.86        | op(e1,e4) = e1
% 72.79/72.86        | op(e1,e4) = e2
% 72.79/72.86        | op(e1,e4) = e3
% 72.79/72.86        | op(e1,e4) = e4 )
% 72.79/72.86      & ( op(e2,e0) = e0
% 72.79/72.86        | op(e2,e0) = e1
% 72.79/72.86        | op(e2,e0) = e2
% 72.79/72.86        | op(e2,e0) = e3
% 72.79/72.86        | op(e2,e0) = e4 )
% 72.79/72.86      & ( op(e2,e1) = e0
% 72.79/72.86        | op(e2,e1) = e1
% 72.79/72.86        | op(e2,e1) = e2
% 72.79/72.86        | op(e2,e1) = e3
% 72.79/72.86        | op(e2,e1) = e4 )
% 72.79/72.86      & ( op(e2,e2) = e0
% 72.79/72.86        | op(e2,e2) = e1
% 72.79/72.86        | op(e2,e2) = e2
% 72.79/72.86        | op(e2,e2) = e3
% 72.79/72.86        | op(e2,e2) = e4 )
% 72.79/72.86      & ( op(e2,e3) = e0
% 72.79/72.86        | op(e2,e3) = e1
% 72.79/72.86        | op(e2,e3) = e2
% 72.79/72.86        | op(e2,e3) = e3
% 72.79/72.86        | op(e2,e3) = e4 )
% 72.79/72.86      & ( op(e2,e4) = e0
% 72.79/72.86        | op(e2,e4) = e1
% 72.79/72.86        | op(e2,e4) = e2
% 72.79/72.86        | op(e2,e4) = e3
% 72.79/72.86        | op(e2,e4) = e4 )
% 72.79/72.86      & ( op(e3,e0) = e0
% 72.79/72.86        | op(e3,e0) = e1
% 72.79/72.86        | op(e3,e0) = e2
% 72.79/72.86        | op(e3,e0) = e3
% 72.79/72.86        | op(e3,e0) = e4 )
% 72.79/72.86      & ( op(e3,e1) = e0
% 72.79/72.86        | op(e3,e1) = e1
% 72.79/72.86        | op(e3,e1) = e2
% 72.79/72.86        | op(e3,e1) = e3
% 72.79/72.86        | op(e3,e1) = e4 )
% 72.79/72.86      & ( op(e3,e2) = e0
% 72.79/72.86        | op(e3,e2) = e1
% 72.79/72.86        | op(e3,e2) = e2
% 72.79/72.86        | op(e3,e2) = e3
% 72.79/72.86        | op(e3,e2) = e4 )
% 72.79/72.86      & ( op(e3,e3) = e0
% 72.79/72.86        | op(e3,e3) = e1
% 72.79/72.86        | op(e3,e3) = e2
% 72.79/72.86        | op(e3,e3) = e3
% 72.79/72.86        | op(e3,e3) = e4 )
% 72.79/72.86      & ( op(e3,e4) = e0
% 72.79/72.86        | op(e3,e4) = e1
% 72.79/72.86        | op(e3,e4) = e2
% 72.79/72.86        | op(e3,e4) = e3
% 72.79/72.86        | op(e3,e4) = e4 )
% 72.79/72.86      & ( op(e4,e0) = e0
% 72.79/72.86        | op(e4,e0) = e1
% 72.79/72.86        | op(e4,e0) = e2
% 72.79/72.86        | op(e4,e0) = e3
% 72.79/72.86        | op(e4,e0) = e4 )
% 72.79/72.86      & ( op(e4,e1) = e0
% 72.79/72.86        | op(e4,e1) = e1
% 72.79/72.86        | op(e4,e1) = e2
% 72.79/72.86        | op(e4,e1) = e3
% 72.79/72.86        | op(e4,e1) = e4 )
% 72.79/72.86      & ( op(e4,e2) = e0
% 72.79/72.86        | op(e4,e2) = e1
% 72.79/72.86        | op(e4,e2) = e2
% 72.79/72.86        | op(e4,e2) = e3
% 72.79/72.86        | op(e4,e2) = e4 )
% 72.79/72.86      & ( op(e4,e3) = e0
% 72.79/72.86        | op(e4,e3) = e1
% 72.79/72.86        | op(e4,e3) = e2
% 72.79/72.86        | op(e4,e3) = e3
% 72.79/72.86        | op(e4,e3) = e4 )
% 72.79/72.86      & ( op(e4,e4) = e0
% 72.79/72.86        | op(e4,e4) = e1
% 72.79/72.86        | op(e4,e4) = e2
% 72.79/72.86        | op(e4,e4) = e3
% 72.79/72.86        | op(e4,e4) = e4 ) ) ).
% 72.79/72.86  
% 72.79/72.86  fof(ax2,axiom,
% 72.79/72.86      ( ( op(e0,e0) = e0
% 72.79/72.86        | op(e0,e1) = e0
% 72.79/72.86        | op(e0,e2) = e0
% 72.79/72.86        | op(e0,e3) = e0
% 72.79/72.86        | op(e0,e4) = e0 )
% 72.79/72.86      & ( op(e0,e0) = e0
% 72.79/72.86        | op(e1,e0) = e0
% 72.79/72.86        | op(e2,e0) = e0
% 72.79/72.86        | op(e3,e0) = e0
% 72.79/72.86        | op(e4,e0) = e0 )
% 72.79/72.86      & ( op(e0,e0) = e1
% 72.79/72.86        | op(e0,e1) = e1
% 72.79/72.86        | op(e0,e2) = e1
% 72.79/72.86        | op(e0,e3) = e1
% 72.79/72.86        | op(e0,e4) = e1 )
% 72.79/72.86      & ( op(e0,e0) = e1
% 72.79/72.86        | op(e1,e0) = e1
% 72.79/72.86        | op(e2,e0) = e1
% 72.79/72.86        | op(e3,e0) = e1
% 72.79/72.86        | op(e4,e0) = e1 )
% 72.79/72.86      & ( op(e0,e0) = e2
% 72.79/72.86        | op(e0,e1) = e2
% 72.79/72.86        | op(e0,e2) = e2
% 72.79/72.86        | op(e0,e3) = e2
% 72.79/72.86        | op(e0,e4) = e2 )
% 72.79/72.86      & ( op(e0,e0) = e2
% 72.79/72.86        | op(e1,e0) = e2
% 72.79/72.86        | op(e2,e0) = e2
% 72.79/72.86        | op(e3,e0) = e2
% 72.79/72.86        | op(e4,e0) = e2 )
% 72.79/72.86      & ( op(e0,e0) = e3
% 72.79/72.86        | op(e0,e1) = e3
% 72.79/72.86        | op(e0,e2) = e3
% 72.79/72.86        | op(e0,e3) = e3
% 72.79/72.86        | op(e0,e4) = e3 )
% 72.79/72.86      & ( op(e0,e0) = e3
% 72.79/72.86        | op(e1,e0) = e3
% 72.79/72.86        | op(e2,e0) = e3
% 72.79/72.86        | op(e3,e0) = e3
% 72.79/72.86        | op(e4,e0) = e3 )
% 72.79/72.86      & ( op(e0,e0) = e4
% 72.79/72.86        | op(e0,e1) = e4
% 72.79/72.86        | op(e0,e2) = e4
% 72.79/72.86        | op(e0,e3) = e4
% 72.79/72.86        | op(e0,e4) = e4 )
% 72.79/72.86      & ( op(e0,e0) = e4
% 72.79/72.86        | op(e1,e0) = e4
% 72.79/72.86        | op(e2,e0) = e4
% 72.79/72.86        | op(e3,e0) = e4
% 72.79/72.86        | op(e4,e0) = e4 )
% 72.79/72.86      & ( op(e1,e0) = e0
% 72.79/72.86        | op(e1,e1) = e0
% 72.79/72.86        | op(e1,e2) = e0
% 72.79/72.86        | op(e1,e3) = e0
% 72.79/72.86        | op(e1,e4) = e0 )
% 72.79/72.86      & ( op(e0,e1) = e0
% 72.79/72.86        | op(e1,e1) = e0
% 72.79/72.86        | op(e2,e1) = e0
% 72.79/72.86        | op(e3,e1) = e0
% 72.79/72.86        | op(e4,e1) = e0 )
% 72.79/72.86      & ( op(e1,e0) = e1
% 72.79/72.86        | op(e1,e1) = e1
% 72.79/72.86        | op(e1,e2) = e1
% 72.79/72.86        | op(e1,e3) = e1
% 72.79/72.86        | op(e1,e4) = e1 )
% 72.79/72.86      & ( op(e0,e1) = e1
% 72.79/72.86        | op(e1,e1) = e1
% 72.79/72.86        | op(e2,e1) = e1
% 72.79/72.86        | op(e3,e1) = e1
% 72.79/72.86        | op(e4,e1) = e1 )
% 72.79/72.86      & ( op(e1,e0) = e2
% 72.79/72.86        | op(e1,e1) = e2
% 72.79/72.86        | op(e1,e2) = e2
% 72.79/72.86        | op(e1,e3) = e2
% 72.79/72.86        | op(e1,e4) = e2 )
% 72.79/72.86      & ( op(e0,e1) = e2
% 72.79/72.86        | op(e1,e1) = e2
% 72.79/72.86        | op(e2,e1) = e2
% 72.79/72.86        | op(e3,e1) = e2
% 72.79/72.86        | op(e4,e1) = e2 )
% 72.79/72.86      & ( op(e1,e0) = e3
% 72.79/72.86        | op(e1,e1) = e3
% 72.79/72.86        | op(e1,e2) = e3
% 72.79/72.86        | op(e1,e3) = e3
% 72.79/72.86        | op(e1,e4) = e3 )
% 72.79/72.86      & ( op(e0,e1) = e3
% 72.79/72.86        | op(e1,e1) = e3
% 72.79/72.86        | op(e2,e1) = e3
% 72.79/72.86        | op(e3,e1) = e3
% 72.79/72.86        | op(e4,e1) = e3 )
% 72.79/72.86      & ( op(e1,e0) = e4
% 72.79/72.86        | op(e1,e1) = e4
% 72.79/72.86        | op(e1,e2) = e4
% 72.79/72.86        | op(e1,e3) = e4
% 72.79/72.86        | op(e1,e4) = e4 )
% 72.79/72.86      & ( op(e0,e1) = e4
% 72.79/72.86        | op(e1,e1) = e4
% 72.79/72.86        | op(e2,e1) = e4
% 72.79/72.86        | op(e3,e1) = e4
% 72.79/72.86        | op(e4,e1) = e4 )
% 72.79/72.86      & ( op(e2,e0) = e0
% 72.79/72.86        | op(e2,e1) = e0
% 72.79/72.86        | op(e2,e2) = e0
% 72.79/72.86        | op(e2,e3) = e0
% 72.79/72.86        | op(e2,e4) = e0 )
% 72.79/72.86      & ( op(e0,e2) = e0
% 72.79/72.86        | op(e1,e2) = e0
% 72.79/72.86        | op(e2,e2) = e0
% 72.79/72.86        | op(e3,e2) = e0
% 72.79/72.86        | op(e4,e2) = e0 )
% 72.79/72.86      & ( op(e2,e0) = e1
% 72.79/72.86        | op(e2,e1) = e1
% 72.79/72.86        | op(e2,e2) = e1
% 72.79/72.86        | op(e2,e3) = e1
% 72.79/72.86        | op(e2,e4) = e1 )
% 72.79/72.86      & ( op(e0,e2) = e1
% 72.79/72.86        | op(e1,e2) = e1
% 72.79/72.86        | op(e2,e2) = e1
% 72.79/72.86        | op(e3,e2) = e1
% 72.79/72.86        | op(e4,e2) = e1 )
% 72.79/72.86      & ( op(e2,e0) = e2
% 72.79/72.86        | op(e2,e1) = e2
% 72.79/72.87        | op(e2,e2) = e2
% 72.79/72.87        | op(e2,e3) = e2
% 72.79/72.87        | op(e2,e4) = e2 )
% 72.79/72.87      & ( op(e0,e2) = e2
% 72.79/72.87        | op(e1,e2) = e2
% 72.79/72.87        | op(e2,e2) = e2
% 72.79/72.87        | op(e3,e2) = e2
% 72.79/72.87        | op(e4,e2) = e2 )
% 72.79/72.87      & ( op(e2,e0) = e3
% 72.79/72.87        | op(e2,e1) = e3
% 72.79/72.87        | op(e2,e2) = e3
% 72.79/72.87        | op(e2,e3) = e3
% 72.79/72.87        | op(e2,e4) = e3 )
% 72.79/72.87      & ( op(e0,e2) = e3
% 72.79/72.87        | op(e1,e2) = e3
% 72.79/72.87        | op(e2,e2) = e3
% 72.79/72.87        | op(e3,e2) = e3
% 72.79/72.87        | op(e4,e2) = e3 )
% 72.79/72.87      & ( op(e2,e0) = e4
% 72.79/72.87        | op(e2,e1) = e4
% 72.79/72.87        | op(e2,e2) = e4
% 72.79/72.87        | op(e2,e3) = e4
% 72.79/72.87        | op(e2,e4) = e4 )
% 72.79/72.87      & ( op(e0,e2) = e4
% 72.79/72.87        | op(e1,e2) = e4
% 72.79/72.87        | op(e2,e2) = e4
% 72.79/72.87        | op(e3,e2) = e4
% 72.79/72.87        | op(e4,e2) = e4 )
% 72.79/72.87      & ( op(e3,e0) = e0
% 72.79/72.87        | op(e3,e1) = e0
% 72.79/72.87        | op(e3,e2) = e0
% 72.79/72.87        | op(e3,e3) = e0
% 72.79/72.87        | op(e3,e4) = e0 )
% 72.79/72.87      & ( op(e0,e3) = e0
% 72.79/72.87        | op(e1,e3) = e0
% 72.79/72.87        | op(e2,e3) = e0
% 72.79/72.87        | op(e3,e3) = e0
% 72.79/72.87        | op(e4,e3) = e0 )
% 72.79/72.87      & ( op(e3,e0) = e1
% 72.79/72.87        | op(e3,e1) = e1
% 72.79/72.87        | op(e3,e2) = e1
% 72.79/72.87        | op(e3,e3) = e1
% 72.79/72.87        | op(e3,e4) = e1 )
% 72.79/72.87      & ( op(e0,e3) = e1
% 72.79/72.87        | op(e1,e3) = e1
% 72.79/72.87        | op(e2,e3) = e1
% 72.79/72.87        | op(e3,e3) = e1
% 72.79/72.87        | op(e4,e3) = e1 )
% 72.79/72.87      & ( op(e3,e0) = e2
% 72.79/72.87        | op(e3,e1) = e2
% 72.79/72.87        | op(e3,e2) = e2
% 72.79/72.87        | op(e3,e3) = e2
% 72.79/72.87        | op(e3,e4) = e2 )
% 72.79/72.87      & ( op(e0,e3) = e2
% 72.79/72.87        | op(e1,e3) = e2
% 72.79/72.87        | op(e2,e3) = e2
% 72.79/72.87        | op(e3,e3) = e2
% 72.79/72.87        | op(e4,e3) = e2 )
% 72.79/72.87      & ( op(e3,e0) = e3
% 72.79/72.87        | op(e3,e1) = e3
% 72.79/72.87        | op(e3,e2) = e3
% 72.79/72.87        | op(e3,e3) = e3
% 72.79/72.87        | op(e3,e4) = e3 )
% 72.79/72.87      & ( op(e0,e3) = e3
% 72.79/72.87        | op(e1,e3) = e3
% 72.79/72.87        | op(e2,e3) = e3
% 72.79/72.87        | op(e3,e3) = e3
% 72.79/72.87        | op(e4,e3) = e3 )
% 72.79/72.87      & ( op(e3,e0) = e4
% 72.79/72.87        | op(e3,e1) = e4
% 72.79/72.87        | op(e3,e2) = e4
% 72.79/72.87        | op(e3,e3) = e4
% 72.79/72.87        | op(e3,e4) = e4 )
% 72.79/72.87      & ( op(e0,e3) = e4
% 72.79/72.87        | op(e1,e3) = e4
% 72.79/72.87        | op(e2,e3) = e4
% 72.79/72.87        | op(e3,e3) = e4
% 72.79/72.87        | op(e4,e3) = e4 )
% 72.79/72.87      & ( op(e4,e0) = e0
% 72.79/72.87        | op(e4,e1) = e0
% 72.79/72.87        | op(e4,e2) = e0
% 72.79/72.87        | op(e4,e3) = e0
% 72.79/72.87        | op(e4,e4) = e0 )
% 72.79/72.87      & ( op(e0,e4) = e0
% 72.79/72.87        | op(e1,e4) = e0
% 72.79/72.87        | op(e2,e4) = e0
% 72.79/72.87        | op(e3,e4) = e0
% 72.79/72.87        | op(e4,e4) = e0 )
% 72.79/72.87      & ( op(e4,e0) = e1
% 72.79/72.87        | op(e4,e1) = e1
% 72.79/72.87        | op(e4,e2) = e1
% 72.79/72.87        | op(e4,e3) = e1
% 72.79/72.87        | op(e4,e4) = e1 )
% 72.79/72.87      & ( op(e0,e4) = e1
% 72.79/72.87        | op(e1,e4) = e1
% 72.79/72.87        | op(e2,e4) = e1
% 72.79/72.87        | op(e3,e4) = e1
% 72.79/72.87        | op(e4,e4) = e1 )
% 72.79/72.87      & ( op(e4,e0) = e2
% 72.79/72.87        | op(e4,e1) = e2
% 72.79/72.87        | op(e4,e2) = e2
% 72.79/72.87        | op(e4,e3) = e2
% 72.79/72.87        | op(e4,e4) = e2 )
% 72.79/72.87      & ( op(e0,e4) = e2
% 72.79/72.87        | op(e1,e4) = e2
% 72.79/72.87        | op(e2,e4) = e2
% 72.79/72.87        | op(e3,e4) = e2
% 72.79/72.87        | op(e4,e4) = e2 )
% 72.79/72.87      & ( op(e4,e0) = e3
% 72.79/72.87        | op(e4,e1) = e3
% 72.79/72.87        | op(e4,e2) = e3
% 72.79/72.87        | op(e4,e3) = e3
% 72.79/72.87        | op(e4,e4) = e3 )
% 72.79/72.87      & ( op(e0,e4) = e3
% 72.79/72.87        | op(e1,e4) = e3
% 72.79/72.87        | op(e2,e4) = e3
% 72.79/72.87        | op(e3,e4) = e3
% 72.79/72.87        | op(e4,e4) = e3 )
% 72.79/72.87      & ( op(e4,e0) = e4
% 72.79/72.87        | op(e4,e1) = e4
% 72.79/72.87        | op(e4,e2) = e4
% 72.79/72.87        | op(e4,e3) = e4
% 72.79/72.87        | op(e4,e4) = e4 )
% 72.79/72.87      & ( op(e0,e4) = e4
% 72.79/72.87        | op(e1,e4) = e4
% 72.79/72.87        | op(e2,e4) = e4
% 72.79/72.87        | op(e3,e4) = e4
% 72.79/72.87        | op(e4,e4) = e4 ) ) ).
% 72.79/72.87  
% 72.79/72.87  fof(ax3,axiom,
% 72.79/72.87      ( op(op(e0,e0),op(e0,e0)) = e0
% 72.79/72.87      & op(op(e1,e0),op(e0,e1)) = e0
% 72.79/72.87      & op(op(e2,e0),op(e0,e2)) = e0
% 72.79/72.87      & op(op(e3,e0),op(e0,e3)) = e0
% 72.79/72.87      & op(op(e4,e0),op(e0,e4)) = e0
% 72.79/72.87      & op(op(e0,e1),op(e1,e0)) = e1
% 72.79/72.87      & op(op(e1,e1),op(e1,e1)) = e1
% 72.79/72.87      & op(op(e2,e1),op(e1,e2)) = e1
% 72.79/72.87      & op(op(e3,e1),op(e1,e3)) = e1
% 72.79/72.87      & op(op(e4,e1),op(e1,e4)) = e1
% 72.79/72.87      & op(op(e0,e2),op(e2,e0)) = e2
% 72.79/72.87      & op(op(e1,e2),op(e2,e1)) = e2
% 72.79/72.87      & op(op(e2,e2),op(e2,e2)) = e2
% 72.79/72.87      & op(op(e3,e2),op(e2,e3)) = e2
% 72.79/72.87      & op(op(e4,e2),op(e2,e4)) = e2
% 72.79/72.87      & op(op(e0,e3),op(e3,e0)) = e3
% 72.79/72.87      & op(op(e1,e3),op(e3,e1)) = e3
% 72.79/72.87      & op(op(e2,e3),op(e3,e2)) = e3
% 72.79/72.87      & op(op(e3,e3),op(e3,e3)) = e3
% 72.79/72.87      & op(op(e4,e3),op(e3,e4)) = e3
% 72.79/72.87      & op(op(e0,e4),op(e4,e0)) = e4
% 72.79/72.87      & op(op(e1,e4),op(e4,e1)) = e4
% 72.79/72.87      & op(op(e2,e4),op(e4,e2)) = e4
% 72.79/72.87      & op(op(e3,e4),op(e4,e3)) = e4
% 72.79/72.87      & op(op(e4,e4),op(e4,e4)) = e4 ) ).
% 72.79/72.87  
% 72.79/72.87  fof(ax4,axiom,
% 72.79/72.87      ( op(e0,e0) != op(e1,e0)
% 72.79/72.87      & op(e0,e0) != op(e2,e0)
% 72.79/72.87      & op(e0,e0) != op(e3,e0)
% 72.79/72.87      & op(e0,e0) != op(e4,e0)
% 72.79/72.87      & op(e1,e0) != op(e2,e0)
% 72.79/72.87      & op(e1,e0) != op(e3,e0)
% 72.79/72.87      & op(e1,e0) != op(e4,e0)
% 72.79/72.87      & op(e2,e0) != op(e3,e0)
% 72.79/72.87      & op(e2,e0) != op(e4,e0)
% 72.79/72.87      & op(e3,e0) != op(e4,e0)
% 72.79/72.87      & op(e0,e1) != op(e1,e1)
% 72.79/72.87      & op(e0,e1) != op(e2,e1)
% 72.79/72.87      & op(e0,e1) != op(e3,e1)
% 72.79/72.87      & op(e0,e1) != op(e4,e1)
% 72.79/72.87      & op(e1,e1) != op(e2,e1)
% 72.79/72.87      & op(e1,e1) != op(e3,e1)
% 72.79/72.87      & op(e1,e1) != op(e4,e1)
% 72.79/72.87      & op(e2,e1) != op(e3,e1)
% 72.79/72.87      & op(e2,e1) != op(e4,e1)
% 72.79/72.87      & op(e3,e1) != op(e4,e1)
% 72.79/72.87      & op(e0,e2) != op(e1,e2)
% 72.79/72.87      & op(e0,e2) != op(e2,e2)
% 72.79/72.87      & op(e0,e2) != op(e3,e2)
% 72.79/72.87      & op(e0,e2) != op(e4,e2)
% 72.79/72.87      & op(e1,e2) != op(e2,e2)
% 72.79/72.87      & op(e1,e2) != op(e3,e2)
% 72.79/72.87      & op(e1,e2) != op(e4,e2)
% 72.79/72.87      & op(e2,e2) != op(e3,e2)
% 72.79/72.87      & op(e2,e2) != op(e4,e2)
% 72.79/72.87      & op(e3,e2) != op(e4,e2)
% 72.79/72.87      & op(e0,e3) != op(e1,e3)
% 72.79/72.87      & op(e0,e3) != op(e2,e3)
% 72.79/72.87      & op(e0,e3) != op(e3,e3)
% 72.79/72.87      & op(e0,e3) != op(e4,e3)
% 72.79/72.87      & op(e1,e3) != op(e2,e3)
% 72.79/72.87      & op(e1,e3) != op(e3,e3)
% 72.79/72.87      & op(e1,e3) != op(e4,e3)
% 72.79/72.87      & op(e2,e3) != op(e3,e3)
% 72.79/72.87      & op(e2,e3) != op(e4,e3)
% 72.79/72.87      & op(e3,e3) != op(e4,e3)
% 72.79/72.87      & op(e0,e4) != op(e1,e4)
% 72.79/72.87      & op(e0,e4) != op(e2,e4)
% 72.79/72.87      & op(e0,e4) != op(e3,e4)
% 72.79/72.87      & op(e0,e4) != op(e4,e4)
% 72.79/72.87      & op(e1,e4) != op(e2,e4)
% 72.79/72.87      & op(e1,e4) != op(e3,e4)
% 72.79/72.87      & op(e1,e4) != op(e4,e4)
% 72.79/72.87      & op(e2,e4) != op(e3,e4)
% 72.79/72.87      & op(e2,e4) != op(e4,e4)
% 72.79/72.87      & op(e3,e4) != op(e4,e4)
% 72.79/72.87      & op(e0,e0) != op(e0,e1)
% 72.79/72.87      & op(e0,e0) != op(e0,e2)
% 72.79/72.87      & op(e0,e0) != op(e0,e3)
% 72.79/72.87      & op(e0,e0) != op(e0,e4)
% 72.79/72.87      & op(e0,e1) != op(e0,e2)
% 72.79/72.87      & op(e0,e1) != op(e0,e3)
% 72.79/72.87      & op(e0,e1) != op(e0,e4)
% 72.79/72.87      & op(e0,e2) != op(e0,e3)
% 72.79/72.87      & op(e0,e2) != op(e0,e4)
% 72.79/72.87      & op(e0,e3) != op(e0,e4)
% 72.79/72.87      & op(e1,e0) != op(e1,e1)
% 72.79/72.87      & op(e1,e0) != op(e1,e2)
% 72.79/72.87      & op(e1,e0) != op(e1,e3)
% 72.79/72.87      & op(e1,e0) != op(e1,e4)
% 72.79/72.87      & op(e1,e1) != op(e1,e2)
% 72.79/72.87      & op(e1,e1) != op(e1,e3)
% 72.79/72.87      & op(e1,e1) != op(e1,e4)
% 72.79/72.87      & op(e1,e2) != op(e1,e3)
% 72.79/72.87      & op(e1,e2) != op(e1,e4)
% 72.79/72.87      & op(e1,e3) != op(e1,e4)
% 72.79/72.87      & op(e2,e0) != op(e2,e1)
% 72.79/72.87      & op(e2,e0) != op(e2,e2)
% 72.79/72.87      & op(e2,e0) != op(e2,e3)
% 72.79/72.87      & op(e2,e0) != op(e2,e4)
% 72.79/72.87      & op(e2,e1) != op(e2,e2)
% 72.79/72.87      & op(e2,e1) != op(e2,e3)
% 72.79/72.87      & op(e2,e1) != op(e2,e4)
% 72.79/72.87      & op(e2,e2) != op(e2,e3)
% 72.79/72.87      & op(e2,e2) != op(e2,e4)
% 72.79/72.87      & op(e2,e3) != op(e2,e4)
% 72.79/72.87      & op(e3,e0) != op(e3,e1)
% 72.79/72.87      & op(e3,e0) != op(e3,e2)
% 72.79/72.87      & op(e3,e0) != op(e3,e3)
% 72.79/72.87      & op(e3,e0) != op(e3,e4)
% 72.79/72.87      & op(e3,e1) != op(e3,e2)
% 72.79/72.87      & op(e3,e1) != op(e3,e3)
% 72.79/72.87      & op(e3,e1) != op(e3,e4)
% 72.79/72.87      & op(e3,e2) != op(e3,e3)
% 72.79/72.87      & op(e3,e2) != op(e3,e4)
% 72.79/72.87      & op(e3,e3) != op(e3,e4)
% 72.79/72.87      & op(e4,e0) != op(e4,e1)
% 72.79/72.87      & op(e4,e0) != op(e4,e2)
% 72.79/72.87      & op(e4,e0) != op(e4,e3)
% 72.79/72.87      & op(e4,e0) != op(e4,e4)
% 72.79/72.87      & op(e4,e1) != op(e4,e2)
% 72.79/72.87      & op(e4,e1) != op(e4,e3)
% 72.79/72.87      & op(e4,e1) != op(e4,e4)
% 72.79/72.87      & op(e4,e2) != op(e4,e3)
% 72.79/72.87      & op(e4,e2) != op(e4,e4)
% 72.79/72.87      & op(e4,e3) != op(e4,e4) ) ).
% 72.79/72.87  
% 72.79/72.87  fof(ax5,axiom,
% 72.79/72.87      ( e0 != e1
% 72.79/72.87      & e0 != e2
% 72.79/72.87      & e0 != e3
% 72.79/72.87      & e0 != e4
% 72.79/72.87      & e1 != e2
% 72.79/72.87      & e1 != e3
% 72.79/72.87      & e1 != e4
% 72.79/72.87      & e2 != e3
% 72.79/72.87      & e2 != e4
% 72.79/72.87      & e3 != e4 ) ).
% 72.79/72.87  
% 72.79/72.87  fof(ax6,axiom,
% 72.79/72.87      ( e0 = op(op(e3,op(e3,e3)),op(e3,op(e3,e3)))
% 72.79/72.87      & e1 = op(e3,op(e3,op(e3,e3)))
% 72.79/72.87      & e2 = op(e3,e3)
% 72.79/72.87      & e4 = op(e3,op(e3,e3)) ) ).
% 72.79/72.87  
% 72.79/72.87  fof(co1,conjecture,
% 72.79/72.87      ~ ( ( ( op(e0,e0) != e0
% 72.79/72.87            & op(e0,e1) != e1
% 72.79/72.87            & op(e0,e2) != e2
% 72.79/72.87            & op(e0,e3) != e3
% 72.79/72.87            & op(e0,e4) != e4 )
% 72.79/72.87          | ( op(e1,e0) != e0
% 72.79/72.87            & op(e1,e1) != e1
% 72.79/72.87            & op(e1,e2) != e2
% 72.79/72.87            & op(e1,e3) != e3
% 72.79/72.87            & op(e1,e4) != e4 )
% 72.79/72.87          | ( op(e2,e0) != e0
% 72.79/72.87            & op(e2,e1) != e1
% 72.79/72.87            & op(e2,e2) != e2
% 72.79/72.87            & op(e2,e3) != e3
% 72.79/72.87            & op(e2,e4) != e4 )
% 72.79/72.87          | ( op(e3,e0) != e0
% 72.79/72.87            & op(e3,e1) != e1
% 72.79/72.87            & op(e3,e2) != e2
% 72.79/72.87            & op(e3,e3) != e3
% 72.79/72.87            & op(e3,e4) != e4 )
% 72.79/72.87          | ( op(e4,e0) != e0
% 72.79/72.87            & op(e4,e1) != e1
% 72.79/72.87            & op(e4,e2) != e2
% 72.79/72.87            & op(e4,e3) != e3
% 72.79/72.87            & op(e4,e4) != e4 ) )
% 72.79/72.87        & op(e0,op(e0,e0)) = e0
% 72.79/72.87        & op(e0,op(e0,e1)) = e1
% 72.79/72.87        & op(e0,op(e0,e2)) = e2
% 72.79/72.87        & op(e0,op(e0,e3)) = e3
% 72.79/72.87        & op(e0,op(e0,e4)) = e4
% 72.79/72.87        & op(e1,op(e1,e0)) = e0
% 72.79/72.87        & op(e1,op(e1,e1)) = e1
% 72.79/72.87        & op(e1,op(e1,e2)) = e2
% 72.79/72.87        & op(e1,op(e1,e3)) = e3
% 72.79/72.87        & op(e1,op(e1,e4)) = e4
% 72.79/72.87        & op(e2,op(e2,e0)) = e0
% 72.79/72.87        & op(e2,op(e2,e1)) = e1
% 72.79/72.87        & op(e2,op(e2,e2)) = e2
% 72.79/72.87        & op(e2,op(e2,e3)) = e3
% 72.79/72.87        & op(e2,op(e2,e4)) = e4
% 72.79/72.87        & op(e3,op(e3,e0)) = e0
% 72.79/72.87        & op(e3,op(e3,e1)) = e1
% 72.79/72.87        & op(e3,op(e3,e2)) = e2
% 72.79/72.87        & op(e3,op(e3,e3)) = e3
% 72.79/72.87        & op(e3,op(e3,e4)) = e4
% 72.79/72.87        & op(e4,op(e4,e0)) = e0
% 72.79/72.87        & op(e4,op(e4,e1)) = e1
% 72.79/72.87        & op(e4,op(e4,e2)) = e2
% 72.79/72.87        & op(e4,op(e4,e3)) = e3
% 72.79/72.87        & op(e4,op(e4,e4)) = e4 ) ).
% 72.79/72.87  
% 72.79/72.87  %--------------------------------------------------------------------------
% 72.79/72.87  %-------------------------------------------
% 72.79/72.87  % Proof found
% 72.79/72.87  % SZS status Theorem for theBenchmark
% 72.79/72.87  % SZS output start Proof
% 72.79/72.87  %ClaNum:301(EqnAxiom:7)
% 72.79/72.87  %VarNum:0(SingletonVarNum:0)
% 72.79/72.87  %MaxLitNum:5
% 72.79/72.87  %MaxfuncDepth:3
% 72.79/72.87  %SharedTerms:390
% 72.79/72.87  %goalClause: 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 172 173 174 175 176
% 72.79/72.87  %singleGoalClaCount:25
% 72.79/72.87  [62]~E(a4,a3)
% 72.79/72.87  [63]~E(a2,a3)
% 72.79/72.87  [64]~E(a2,a4)
% 72.79/72.87  [65]~E(a3,a1)
% 72.79/72.87  [66]~E(a4,a1)
% 72.79/72.87  [67]~E(a2,a1)
% 72.79/72.87  [68]~E(a3,a6)
% 72.79/72.87  [69]~E(a4,a6)
% 72.79/72.87  [70]~E(a2,a6)
% 72.79/72.87  [71]~E(a6,a1)
% 72.79/72.87  [8]E(f5(a1,a1),a2)
% 72.79/72.87  [72]~E(f5(a3,a4),f5(a3,a3))
% 72.79/72.87  [73]~E(f5(a3,a2),f5(a3,a3))
% 72.79/72.87  [74]~E(f5(a3,a2),f5(a3,a4))
% 72.79/72.87  [75]~E(f5(a3,a3),f5(a3,a1))
% 72.79/72.87  [76]~E(f5(a3,a4),f5(a3,a1))
% 72.79/72.87  [77]~E(f5(a3,a2),f5(a3,a1))
% 72.79/72.87  [78]~E(f5(a3,a3),f5(a3,a6))
% 72.79/72.87  [79]~E(f5(a3,a4),f5(a3,a6))
% 72.79/72.87  [80]~E(f5(a3,a2),f5(a3,a6))
% 72.79/72.87  [81]~E(f5(a3,a6),f5(a3,a1))
% 72.79/72.87  [82]~E(f5(a4,a3),f5(a3,a3))
% 72.79/72.87  [83]~E(f5(a4,a4),f5(a3,a4))
% 72.79/72.87  [84]~E(f5(a4,a4),f5(a4,a3))
% 72.79/72.87  [85]~E(f5(a4,a2),f5(a3,a2))
% 72.79/72.87  [86]~E(f5(a4,a2),f5(a4,a3))
% 72.79/72.87  [87]~E(f5(a4,a2),f5(a4,a4))
% 72.79/72.87  [88]~E(f5(a4,a1),f5(a3,a1))
% 72.79/72.87  [89]~E(f5(a4,a3),f5(a4,a1))
% 72.79/72.87  [90]~E(f5(a4,a4),f5(a4,a1))
% 72.79/72.88  [91]~E(f5(a4,a2),f5(a4,a1))
% 72.79/72.88  [92]~E(f5(a4,a6),f5(a3,a6))
% 72.79/72.88  [93]~E(f5(a4,a3),f5(a4,a6))
% 72.79/72.88  [94]~E(f5(a4,a4),f5(a4,a6))
% 72.79/72.88  [95]~E(f5(a4,a2),f5(a4,a6))
% 72.79/72.88  [96]~E(f5(a4,a6),f5(a4,a1))
% 72.79/72.88  [97]~E(f5(a2,a3),f5(a3,a3))
% 72.79/72.88  [98]~E(f5(a2,a3),f5(a4,a3))
% 72.79/72.88  [99]~E(f5(a2,a4),f5(a3,a4))
% 72.79/72.88  [100]~E(f5(a2,a4),f5(a4,a4))
% 72.79/72.88  [101]~E(f5(a2,a4),f5(a2,a3))
% 72.79/72.88  [102]~E(f5(a2,a2),f5(a3,a2))
% 72.79/72.88  [103]~E(f5(a2,a2),f5(a4,a2))
% 72.79/72.88  [104]~E(f5(a2,a2),f5(a2,a3))
% 72.79/72.88  [105]~E(f5(a2,a2),f5(a2,a4))
% 72.79/72.88  [106]~E(f5(a2,a1),f5(a3,a1))
% 72.79/72.88  [107]~E(f5(a2,a1),f5(a4,a1))
% 72.79/72.88  [108]~E(f5(a2,a3),f5(a2,a1))
% 72.79/72.88  [109]~E(f5(a2,a4),f5(a2,a1))
% 72.79/72.88  [110]~E(f5(a2,a2),f5(a2,a1))
% 72.79/72.88  [111]~E(f5(a2,a6),f5(a3,a6))
% 72.79/72.88  [112]~E(f5(a2,a6),f5(a4,a6))
% 72.79/72.88  [113]~E(f5(a2,a3),f5(a2,a6))
% 72.79/72.88  [114]~E(f5(a2,a4),f5(a2,a6))
% 72.79/72.88  [115]~E(f5(a2,a2),f5(a2,a6))
% 72.79/72.88  [116]~E(f5(a2,a6),f5(a2,a1))
% 72.79/72.88  [117]~E(f5(a3,a3),f5(a1,a3))
% 72.79/72.88  [118]~E(f5(a4,a3),f5(a1,a3))
% 72.79/72.88  [119]~E(f5(a2,a3),f5(a1,a3))
% 72.79/72.88  [120]~E(f5(a3,a4),f5(a1,a4))
% 72.79/72.88  [121]~E(f5(a4,a4),f5(a1,a4))
% 72.79/72.88  [122]~E(f5(a2,a4),f5(a1,a4))
% 72.79/72.88  [123]~E(f5(a1,a4),f5(a1,a3))
% 72.79/72.88  [124]~E(f5(a3,a2),f5(a1,a2))
% 72.79/72.88  [125]~E(f5(a4,a2),f5(a1,a2))
% 72.79/72.88  [126]~E(f5(a2,a2),f5(a1,a2))
% 72.79/72.88  [127]~E(f5(a1,a2),f5(a1,a3))
% 72.79/72.88  [128]~E(f5(a1,a2),f5(a1,a4))
% 72.79/72.88  [129]~E(f5(a3,a1),f5(a1,a1))
% 72.79/72.88  [130]~E(f5(a4,a1),f5(a1,a1))
% 72.79/72.88  [131]~E(f5(a2,a1),f5(a1,a1))
% 72.79/72.88  [132]~E(f5(a1,a3),f5(a1,a1))
% 72.79/72.88  [133]~E(f5(a1,a4),f5(a1,a1))
% 72.79/72.88  [134]~E(f5(a1,a2),f5(a1,a1))
% 72.79/72.88  [135]~E(f5(a3,a6),f5(a1,a6))
% 72.79/72.88  [136]~E(f5(a4,a6),f5(a1,a6))
% 72.79/72.88  [137]~E(f5(a2,a6),f5(a1,a6))
% 72.79/72.88  [138]~E(f5(a1,a3),f5(a1,a6))
% 72.79/72.88  [139]~E(f5(a1,a4),f5(a1,a6))
% 72.79/72.88  [140]~E(f5(a1,a2),f5(a1,a6))
% 72.79/72.88  [141]~E(f5(a1,a6),f5(a1,a1))
% 72.79/72.88  [142]~E(f5(a3,a3),f5(a6,a3))
% 72.79/72.88  [143]~E(f5(a4,a3),f5(a6,a3))
% 72.79/72.88  [144]~E(f5(a2,a3),f5(a6,a3))
% 72.79/72.88  [145]~E(f5(a6,a3),f5(a1,a3))
% 72.79/72.88  [146]~E(f5(a3,a4),f5(a6,a4))
% 72.79/72.88  [147]~E(f5(a4,a4),f5(a6,a4))
% 72.79/72.88  [148]~E(f5(a2,a4),f5(a6,a4))
% 72.79/72.88  [149]~E(f5(a6,a4),f5(a1,a4))
% 72.79/72.88  [150]~E(f5(a6,a4),f5(a6,a3))
% 72.79/72.88  [151]~E(f5(a3,a2),f5(a6,a2))
% 72.79/72.88  [152]~E(f5(a4,a2),f5(a6,a2))
% 72.79/72.88  [153]~E(f5(a2,a2),f5(a6,a2))
% 72.79/72.88  [154]~E(f5(a6,a2),f5(a1,a2))
% 72.79/72.88  [155]~E(f5(a6,a2),f5(a6,a3))
% 72.79/72.88  [156]~E(f5(a6,a2),f5(a6,a4))
% 72.79/72.88  [157]~E(f5(a3,a1),f5(a6,a1))
% 72.79/72.88  [158]~E(f5(a4,a1),f5(a6,a1))
% 72.79/72.88  [159]~E(f5(a2,a1),f5(a6,a1))
% 72.79/72.88  [160]~E(f5(a6,a1),f5(a1,a1))
% 72.79/72.88  [161]~E(f5(a6,a3),f5(a6,a1))
% 72.79/72.88  [162]~E(f5(a6,a4),f5(a6,a1))
% 72.79/72.88  [163]~E(f5(a6,a2),f5(a6,a1))
% 72.79/72.88  [164]~E(f5(a3,a6),f5(a6,a6))
% 72.79/72.88  [165]~E(f5(a4,a6),f5(a6,a6))
% 72.79/72.88  [166]~E(f5(a2,a6),f5(a6,a6))
% 72.79/72.88  [167]~E(f5(a6,a6),f5(a1,a6))
% 72.79/72.88  [168]~E(f5(a6,a3),f5(a6,a6))
% 72.79/72.88  [169]~E(f5(a6,a4),f5(a6,a6))
% 72.79/72.88  [170]~E(f5(a6,a2),f5(a6,a6))
% 72.79/72.88  [171]~E(f5(a6,a6),f5(a6,a1))
% 72.79/72.88  [9]E(f5(a1,f5(a1,a1)),a6)
% 72.79/72.88  [10]E(f5(a3,f5(a3,a3)),a3)
% 72.79/72.88  [11]E(f5(a3,f5(a3,a4)),a4)
% 72.79/72.88  [12]E(f5(a3,f5(a3,a2)),a2)
% 72.79/72.88  [13]E(f5(a3,f5(a3,a1)),a1)
% 72.79/72.88  [14]E(f5(a3,f5(a3,a6)),a6)
% 72.79/72.88  [15]E(f5(a4,f5(a4,a3)),a3)
% 72.79/72.88  [16]E(f5(a4,f5(a4,a4)),a4)
% 72.79/72.88  [17]E(f5(a4,f5(a4,a2)),a2)
% 72.79/72.88  [18]E(f5(a4,f5(a4,a1)),a1)
% 72.79/72.88  [19]E(f5(a4,f5(a4,a6)),a6)
% 72.79/72.88  [20]E(f5(a2,f5(a2,a3)),a3)
% 72.79/72.88  [21]E(f5(a2,f5(a2,a4)),a4)
% 72.79/72.88  [22]E(f5(a2,f5(a2,a2)),a2)
% 72.79/72.88  [23]E(f5(a2,f5(a2,a1)),a1)
% 72.79/72.88  [24]E(f5(a2,f5(a2,a6)),a6)
% 72.79/72.88  [25]E(f5(a1,f5(a1,a3)),a3)
% 72.79/72.88  [26]E(f5(a1,f5(a1,a4)),a4)
% 72.79/72.88  [27]E(f5(a1,f5(a1,a2)),a2)
% 72.79/72.88  [28]E(f5(a1,f5(a1,a1)),a1)
% 72.79/72.88  [29]E(f5(a1,f5(a1,a6)),a6)
% 72.79/72.88  [30]E(f5(a6,f5(a6,a3)),a3)
% 72.79/72.88  [31]E(f5(a6,f5(a6,a4)),a4)
% 72.79/72.88  [32]E(f5(a6,f5(a6,a2)),a2)
% 72.79/72.88  [33]E(f5(a6,f5(a6,a1)),a1)
% 72.79/72.88  [34]E(f5(a6,f5(a6,a6)),a6)
% 72.79/72.88  [35]E(f5(f5(a3,a3),f5(a3,a3)),a3)
% 72.79/72.88  [36]E(f5(f5(a3,a4),f5(a4,a3)),a4)
% 72.79/72.88  [37]E(f5(f5(a3,a2),f5(a2,a3)),a2)
% 72.79/72.88  [38]E(f5(f5(a3,a1),f5(a1,a3)),a1)
% 72.79/72.88  [39]E(f5(f5(a3,a6),f5(a6,a3)),a6)
% 72.79/72.88  [40]E(f5(f5(a4,a3),f5(a3,a4)),a3)
% 72.79/72.88  [41]E(f5(f5(a4,a4),f5(a4,a4)),a4)
% 72.79/72.88  [42]E(f5(f5(a4,a2),f5(a2,a4)),a2)
% 72.79/72.88  [43]E(f5(f5(a4,a1),f5(a1,a4)),a1)
% 72.79/72.88  [44]E(f5(f5(a4,a6),f5(a6,a4)),a6)
% 72.79/72.88  [45]E(f5(f5(a2,a3),f5(a3,a2)),a3)
% 72.79/72.88  [46]E(f5(f5(a2,a4),f5(a4,a2)),a4)
% 72.79/72.88  [47]E(f5(f5(a2,a2),f5(a2,a2)),a2)
% 72.79/72.88  [48]E(f5(f5(a2,a1),f5(a1,a2)),a1)
% 72.79/72.88  [49]E(f5(f5(a2,a6),f5(a6,a2)),a6)
% 72.79/72.88  [50]E(f5(f5(a1,a3),f5(a3,a1)),a3)
% 72.79/72.88  [51]E(f5(f5(a1,a4),f5(a4,a1)),a4)
% 72.79/72.88  [52]E(f5(f5(a1,a2),f5(a2,a1)),a2)
% 72.79/72.88  [53]E(f5(f5(a1,a1),f5(a1,a1)),a1)
% 72.79/72.88  [54]E(f5(f5(a1,a6),f5(a6,a1)),a6)
% 72.79/72.88  [55]E(f5(f5(a6,a3),f5(a3,a6)),a3)
% 72.79/72.88  [56]E(f5(f5(a6,a4),f5(a4,a6)),a4)
% 72.79/72.88  [57]E(f5(f5(a6,a2),f5(a2,a6)),a2)
% 72.79/72.88  [58]E(f5(f5(a6,a1),f5(a1,a6)),a1)
% 72.79/72.88  [59]E(f5(f5(a6,a6),f5(a6,a6)),a6)
% 72.79/72.88  [60]E(f5(a1,f5(a1,f5(a1,a1))),a4)
% 72.79/72.88  [61]E(f5(f5(a1,f5(a1,a1)),f5(a1,f5(a1,a1))),a3)
% 72.79/72.88  [172]P1(a500)+~E(f5(a6,a3),a3)
% 72.79/72.88  [173]P1(a500)+~E(f5(a6,a4),a4)
% 72.79/72.88  [174]P1(a500)+~E(f5(a6,a2),a2)
% 72.79/72.88  [175]P1(a500)+~E(f5(a6,a1),a1)
% 72.79/72.88  [176]P1(a500)+~E(f5(a6,a6),a6)
% 72.79/72.88  [177]~P2(a500)+~E(f5(a3,a3),a3)+~E(f5(a4,a3),a3)
% 72.79/72.88  [178]~P2(a500)+~E(f5(a3,a3),a3)+~E(f5(a4,a4),a4)
% 72.79/72.88  [179]~P2(a500)+~E(f5(a3,a3),a3)+~E(f5(a4,a2),a2)
% 72.79/72.88  [180]~P2(a500)+~E(f5(a3,a3),a3)+~E(f5(a4,a1),a1)
% 72.79/72.88  [181]~P2(a500)+~E(f5(a3,a3),a3)+~E(f5(a4,a6),a6)
% 72.79/72.88  [182]~P2(a500)+~E(f5(a4,a3),a3)+~E(f5(a3,a4),a4)
% 72.79/72.88  [183]~P2(a500)+~E(f5(a3,a4),a4)+~E(f5(a4,a4),a4)
% 72.79/72.88  [184]~P2(a500)+~E(f5(a3,a4),a4)+~E(f5(a4,a2),a2)
% 72.79/72.88  [185]~P2(a500)+~E(f5(a3,a4),a4)+~E(f5(a4,a1),a1)
% 72.79/72.88  [186]~P2(a500)+~E(f5(a3,a4),a4)+~E(f5(a4,a6),a6)
% 72.79/72.88  [187]~P2(a500)+~E(f5(a4,a3),a3)+~E(f5(a3,a2),a2)
% 72.79/72.88  [188]~P2(a500)+~E(f5(a4,a4),a4)+~E(f5(a3,a2),a2)
% 72.79/72.88  [189]~P2(a500)+~E(f5(a3,a2),a2)+~E(f5(a4,a2),a2)
% 72.79/72.88  [190]~P2(a500)+~E(f5(a3,a2),a2)+~E(f5(a4,a1),a1)
% 72.79/72.88  [191]~P2(a500)+~E(f5(a3,a2),a2)+~E(f5(a4,a6),a6)
% 72.79/72.88  [192]~P2(a500)+~E(f5(a4,a3),a3)+~E(f5(a3,a1),a1)
% 72.79/72.88  [193]~P2(a500)+~E(f5(a4,a4),a4)+~E(f5(a3,a1),a1)
% 72.79/72.88  [194]~P2(a500)+~E(f5(a4,a2),a2)+~E(f5(a3,a1),a1)
% 72.79/72.88  [195]~P2(a500)+~E(f5(a3,a1),a1)+~E(f5(a4,a1),a1)
% 72.79/72.88  [196]~P2(a500)+~E(f5(a3,a1),a1)+~E(f5(a4,a6),a6)
% 72.79/72.88  [197]~P2(a500)+~E(f5(a4,a3),a3)+~E(f5(a3,a6),a6)
% 72.79/72.88  [198]~P2(a500)+~E(f5(a4,a4),a4)+~E(f5(a3,a6),a6)
% 72.79/72.88  [199]~P2(a500)+~E(f5(a4,a2),a2)+~E(f5(a3,a6),a6)
% 72.79/72.88  [200]~P2(a500)+~E(f5(a4,a1),a1)+~E(f5(a3,a6),a6)
% 72.79/72.88  [201]~P2(a500)+~E(f5(a3,a6),a6)+~E(f5(a4,a6),a6)
% 72.79/72.88  [202]P2(a500)+~P1(a500)+~E(f5(a2,a3),a3)+~E(f5(a1,a3),a3)
% 72.79/72.88  [203]P2(a500)+~P1(a500)+~E(f5(a2,a3),a3)+~E(f5(a1,a4),a4)
% 72.79/72.88  [204]P2(a500)+~P1(a500)+~E(f5(a2,a3),a3)+~E(f5(a1,a2),a2)
% 72.79/72.88  [205]P2(a500)+~P1(a500)+~E(f5(a1,a1),a1)+~E(f5(a2,a3),a3)
% 72.79/72.88  [206]P2(a500)+~P1(a500)+~E(f5(a2,a3),a3)+~E(f5(a1,a6),a6)
% 72.79/72.88  [207]P2(a500)+~P1(a500)+~E(f5(a1,a3),a3)+~E(f5(a2,a4),a4)
% 72.79/72.88  [208]P2(a500)+~P1(a500)+~E(f5(a2,a4),a4)+~E(f5(a1,a4),a4)
% 72.79/72.88  [209]P2(a500)+~P1(a500)+~E(f5(a2,a4),a4)+~E(f5(a1,a2),a2)
% 72.79/72.88  [210]P2(a500)+~P1(a500)+~E(f5(a1,a1),a1)+~E(f5(a2,a4),a4)
% 72.79/72.88  [211]P2(a500)+~P1(a500)+~E(f5(a2,a4),a4)+~E(f5(a1,a6),a6)
% 72.79/72.88  [212]P2(a500)+~P1(a500)+~E(f5(a1,a3),a3)+~E(f5(a2,a2),a2)
% 72.79/72.88  [213]P2(a500)+~P1(a500)+~E(f5(a1,a4),a4)+~E(f5(a2,a2),a2)
% 72.79/72.88  [214]P2(a500)+~P1(a500)+~E(f5(a2,a2),a2)+~E(f5(a1,a2),a2)
% 72.79/72.88  [215]P2(a500)+~P1(a500)+~E(f5(a1,a1),a1)+~E(f5(a2,a2),a2)
% 72.79/72.88  [216]P2(a500)+~P1(a500)+~E(f5(a2,a2),a2)+~E(f5(a1,a6),a6)
% 72.79/72.88  [217]P2(a500)+~P1(a500)+~E(f5(a1,a3),a3)+~E(f5(a2,a1),a1)
% 72.79/72.88  [218]P2(a500)+~P1(a500)+~E(f5(a1,a4),a4)+~E(f5(a2,a1),a1)
% 72.79/72.88  [219]P2(a500)+~P1(a500)+~E(f5(a1,a2),a2)+~E(f5(a2,a1),a1)
% 72.79/72.88  [220]P2(a500)+~P1(a500)+~E(f5(a1,a1),a1)+~E(f5(a2,a1),a1)
% 72.79/72.88  [221]P2(a500)+~P1(a500)+~E(f5(a2,a1),a1)+~E(f5(a1,a6),a6)
% 72.79/72.88  [222]P2(a500)+~P1(a500)+~E(f5(a1,a3),a3)+~E(f5(a2,a6),a6)
% 72.79/72.88  [223]P2(a500)+~P1(a500)+~E(f5(a1,a4),a4)+~E(f5(a2,a6),a6)
% 72.79/72.88  [224]P2(a500)+~P1(a500)+~E(f5(a1,a2),a2)+~E(f5(a2,a6),a6)
% 72.79/72.88  [225]P2(a500)+~P1(a500)+~E(f5(a1,a1),a1)+~E(f5(a2,a6),a6)
% 72.79/72.88  [226]P2(a500)+~P1(a500)+~E(f5(a2,a6),a6)+~E(f5(a1,a6),a6)
% 72.79/72.88  [227]E(f5(a3,a3),a6)+E(f5(a3,a3),a1)+E(f5(a3,a3),a2)+E(f5(a3,a3),a4)+E(f5(a3,a3),a3)
% 72.79/72.88  [228]E(f5(a3,a3),a3)+E(f5(a3,a4),a3)+E(f5(a3,a2),a3)+E(f5(a3,a1),a3)+E(f5(a3,a6),a3)
% 72.79/72.88  [229]E(f5(a3,a3),a3)+E(f5(a4,a3),a3)+E(f5(a2,a3),a3)+E(f5(a1,a3),a3)+E(f5(a6,a3),a3)
% 72.79/72.88  [230]E(f5(a3,a3),a4)+E(f5(a3,a4),a4)+E(f5(a3,a2),a4)+E(f5(a3,a1),a4)+E(f5(a3,a6),a4)
% 72.79/72.88  [231]E(f5(a3,a3),a4)+E(f5(a4,a3),a4)+E(f5(a2,a3),a4)+E(f5(a1,a3),a4)+E(f5(a6,a3),a4)
% 72.79/72.88  [232]E(f5(a3,a3),a2)+E(f5(a3,a4),a2)+E(f5(a3,a2),a2)+E(f5(a3,a1),a2)+E(f5(a3,a6),a2)
% 72.79/72.88  [233]E(f5(a3,a3),a2)+E(f5(a4,a3),a2)+E(f5(a2,a3),a2)+E(f5(a1,a3),a2)+E(f5(a6,a3),a2)
% 72.79/72.88  [234]E(f5(a3,a3),a1)+E(f5(a3,a4),a1)+E(f5(a3,a2),a1)+E(f5(a3,a1),a1)+E(f5(a3,a6),a1)
% 72.79/72.88  [235]E(f5(a3,a3),a1)+E(f5(a4,a3),a1)+E(f5(a2,a3),a1)+E(f5(a1,a3),a1)+E(f5(a6,a3),a1)
% 72.79/72.88  [236]E(f5(a3,a3),a6)+E(f5(a3,a4),a6)+E(f5(a3,a2),a6)+E(f5(a3,a1),a6)+E(f5(a3,a6),a6)
% 72.79/72.88  [237]E(f5(a3,a3),a6)+E(f5(a4,a3),a6)+E(f5(a2,a3),a6)+E(f5(a1,a3),a6)+E(f5(a6,a3),a6)
% 72.79/72.88  [238]E(f5(a3,a4),a6)+E(f5(a3,a4),a1)+E(f5(a3,a4),a2)+E(f5(a3,a4),a4)+E(f5(a3,a4),a3)
% 72.79/72.88  [239]E(f5(a3,a4),a3)+E(f5(a4,a4),a3)+E(f5(a2,a4),a3)+E(f5(a1,a4),a3)+E(f5(a6,a4),a3)
% 72.79/72.88  [240]E(f5(a3,a4),a4)+E(f5(a4,a4),a4)+E(f5(a2,a4),a4)+E(f5(a1,a4),a4)+E(f5(a6,a4),a4)
% 72.79/72.88  [241]E(f5(a3,a4),a2)+E(f5(a4,a4),a2)+E(f5(a2,a4),a2)+E(f5(a1,a4),a2)+E(f5(a6,a4),a2)
% 72.79/72.88  [242]E(f5(a3,a4),a1)+E(f5(a4,a4),a1)+E(f5(a2,a4),a1)+E(f5(a1,a4),a1)+E(f5(a6,a4),a1)
% 72.79/72.88  [243]E(f5(a3,a4),a6)+E(f5(a4,a4),a6)+E(f5(a2,a4),a6)+E(f5(a1,a4),a6)+E(f5(a6,a4),a6)
% 72.79/72.88  [244]E(f5(a3,a2),a6)+E(f5(a3,a2),a1)+E(f5(a3,a2),a2)+E(f5(a3,a2),a4)+E(f5(a3,a2),a3)
% 72.79/72.88  [245]E(f5(a3,a2),a3)+E(f5(a4,a2),a3)+E(f5(a2,a2),a3)+E(f5(a1,a2),a3)+E(f5(a6,a2),a3)
% 72.79/72.88  [246]E(f5(a3,a2),a4)+E(f5(a4,a2),a4)+E(f5(a2,a2),a4)+E(f5(a1,a2),a4)+E(f5(a6,a2),a4)
% 72.79/72.88  [247]E(f5(a3,a2),a2)+E(f5(a4,a2),a2)+E(f5(a2,a2),a2)+E(f5(a1,a2),a2)+E(f5(a6,a2),a2)
% 72.79/72.88  [248]E(f5(a3,a2),a1)+E(f5(a4,a2),a1)+E(f5(a2,a2),a1)+E(f5(a1,a2),a1)+E(f5(a6,a2),a1)
% 72.79/72.88  [249]E(f5(a3,a2),a6)+E(f5(a4,a2),a6)+E(f5(a2,a2),a6)+E(f5(a1,a2),a6)+E(f5(a6,a2),a6)
% 72.79/72.88  [250]E(f5(a3,a1),a6)+E(f5(a3,a1),a1)+E(f5(a3,a1),a2)+E(f5(a3,a1),a4)+E(f5(a3,a1),a3)
% 72.79/72.88  [251]E(f5(a1,a1),a3)+E(f5(a3,a1),a3)+E(f5(a4,a1),a3)+E(f5(a2,a1),a3)+E(f5(a6,a1),a3)
% 72.79/72.88  [252]E(f5(a1,a1),a4)+E(f5(a3,a1),a4)+E(f5(a4,a1),a4)+E(f5(a2,a1),a4)+E(f5(a6,a1),a4)
% 72.79/72.88  [254]E(f5(a1,a1),a1)+E(f5(a3,a1),a1)+E(f5(a4,a1),a1)+E(f5(a2,a1),a1)+E(f5(a6,a1),a1)
% 72.79/72.88  [255]E(f5(a3,a1),a6)+E(f5(a1,a1),a6)+E(f5(a4,a1),a6)+E(f5(a2,a1),a6)+E(f5(a6,a1),a6)
% 72.79/72.88  [256]E(f5(a3,a6),a6)+E(f5(a3,a6),a1)+E(f5(a3,a6),a2)+E(f5(a3,a6),a4)+E(f5(a3,a6),a3)
% 72.79/72.88  [257]E(f5(a3,a6),a3)+E(f5(a4,a6),a3)+E(f5(a2,a6),a3)+E(f5(a1,a6),a3)+E(f5(a6,a6),a3)
% 72.79/72.88  [258]E(f5(a3,a6),a4)+E(f5(a4,a6),a4)+E(f5(a2,a6),a4)+E(f5(a1,a6),a4)+E(f5(a6,a6),a4)
% 72.79/72.88  [259]E(f5(a3,a6),a2)+E(f5(a4,a6),a2)+E(f5(a2,a6),a2)+E(f5(a1,a6),a2)+E(f5(a6,a6),a2)
% 72.79/72.88  [260]E(f5(a3,a6),a1)+E(f5(a4,a6),a1)+E(f5(a2,a6),a1)+E(f5(a1,a6),a1)+E(f5(a6,a6),a1)
% 72.79/72.88  [261]E(f5(a3,a6),a6)+E(f5(a4,a6),a6)+E(f5(a2,a6),a6)+E(f5(a1,a6),a6)+E(f5(a6,a6),a6)
% 72.79/72.88  [262]E(f5(a4,a3),a6)+E(f5(a4,a3),a1)+E(f5(a4,a3),a2)+E(f5(a4,a3),a4)+E(f5(a4,a3),a3)
% 72.79/72.88  [263]E(f5(a4,a3),a3)+E(f5(a4,a4),a3)+E(f5(a4,a2),a3)+E(f5(a4,a1),a3)+E(f5(a4,a6),a3)
% 72.79/72.88  [264]E(f5(a4,a3),a4)+E(f5(a4,a4),a4)+E(f5(a4,a2),a4)+E(f5(a4,a1),a4)+E(f5(a4,a6),a4)
% 72.79/72.88  [265]E(f5(a4,a3),a2)+E(f5(a4,a4),a2)+E(f5(a4,a2),a2)+E(f5(a4,a1),a2)+E(f5(a4,a6),a2)
% 72.79/72.88  [266]E(f5(a4,a3),a1)+E(f5(a4,a4),a1)+E(f5(a4,a2),a1)+E(f5(a4,a1),a1)+E(f5(a4,a6),a1)
% 72.79/72.88  [267]E(f5(a4,a3),a6)+E(f5(a4,a4),a6)+E(f5(a4,a2),a6)+E(f5(a4,a1),a6)+E(f5(a4,a6),a6)
% 72.79/72.88  [268]E(f5(a4,a4),a6)+E(f5(a4,a4),a1)+E(f5(a4,a4),a2)+E(f5(a4,a4),a4)+E(f5(a4,a4),a3)
% 72.79/72.88  [269]E(f5(a4,a2),a6)+E(f5(a4,a2),a1)+E(f5(a4,a2),a2)+E(f5(a4,a2),a4)+E(f5(a4,a2),a3)
% 72.79/72.88  [270]E(f5(a4,a1),a6)+E(f5(a4,a1),a1)+E(f5(a4,a1),a2)+E(f5(a4,a1),a4)+E(f5(a4,a1),a3)
% 72.79/72.88  [271]E(f5(a4,a6),a6)+E(f5(a4,a6),a1)+E(f5(a4,a6),a2)+E(f5(a4,a6),a4)+E(f5(a4,a6),a3)
% 72.79/72.88  [272]E(f5(a2,a3),a6)+E(f5(a2,a3),a1)+E(f5(a2,a3),a2)+E(f5(a2,a3),a4)+E(f5(a2,a3),a3)
% 72.79/72.88  [273]E(f5(a2,a3),a3)+E(f5(a2,a4),a3)+E(f5(a2,a2),a3)+E(f5(a2,a1),a3)+E(f5(a2,a6),a3)
% 72.79/72.88  [274]E(f5(a2,a3),a4)+E(f5(a2,a4),a4)+E(f5(a2,a2),a4)+E(f5(a2,a1),a4)+E(f5(a2,a6),a4)
% 72.79/72.88  [275]E(f5(a2,a3),a2)+E(f5(a2,a4),a2)+E(f5(a2,a2),a2)+E(f5(a2,a1),a2)+E(f5(a2,a6),a2)
% 72.79/72.88  [276]E(f5(a2,a3),a1)+E(f5(a2,a4),a1)+E(f5(a2,a2),a1)+E(f5(a2,a1),a1)+E(f5(a2,a6),a1)
% 72.79/72.88  [277]E(f5(a2,a3),a6)+E(f5(a2,a4),a6)+E(f5(a2,a2),a6)+E(f5(a2,a1),a6)+E(f5(a2,a6),a6)
% 72.79/72.88  [278]E(f5(a2,a4),a6)+E(f5(a2,a4),a1)+E(f5(a2,a4),a2)+E(f5(a2,a4),a4)+E(f5(a2,a4),a3)
% 72.79/72.88  [279]E(f5(a2,a2),a6)+E(f5(a2,a2),a1)+E(f5(a2,a2),a2)+E(f5(a2,a2),a4)+E(f5(a2,a2),a3)
% 72.79/72.88  [280]E(f5(a2,a1),a6)+E(f5(a2,a1),a1)+E(f5(a2,a1),a2)+E(f5(a2,a1),a4)+E(f5(a2,a1),a3)
% 72.79/72.88  [281]E(f5(a2,a6),a6)+E(f5(a2,a6),a1)+E(f5(a2,a6),a2)+E(f5(a2,a6),a4)+E(f5(a2,a6),a3)
% 72.79/72.88  [282]E(f5(a1,a3),a6)+E(f5(a1,a3),a1)+E(f5(a1,a3),a2)+E(f5(a1,a3),a4)+E(f5(a1,a3),a3)
% 72.79/72.88  [283]E(f5(a1,a1),a3)+E(f5(a1,a3),a3)+E(f5(a1,a4),a3)+E(f5(a1,a2),a3)+E(f5(a1,a6),a3)
% 72.79/72.88  [284]E(f5(a1,a1),a4)+E(f5(a1,a3),a4)+E(f5(a1,a4),a4)+E(f5(a1,a2),a4)+E(f5(a1,a6),a4)
% 72.79/72.88  [286]E(f5(a1,a1),a1)+E(f5(a1,a3),a1)+E(f5(a1,a4),a1)+E(f5(a1,a2),a1)+E(f5(a1,a6),a1)
% 72.79/72.88  [287]E(f5(a1,a3),a6)+E(f5(a1,a1),a6)+E(f5(a1,a4),a6)+E(f5(a1,a2),a6)+E(f5(a1,a6),a6)
% 72.79/72.88  [288]E(f5(a1,a4),a6)+E(f5(a1,a4),a1)+E(f5(a1,a4),a2)+E(f5(a1,a4),a4)+E(f5(a1,a4),a3)
% 72.79/72.88  [289]E(f5(a1,a2),a6)+E(f5(a1,a2),a1)+E(f5(a1,a2),a2)+E(f5(a1,a2),a4)+E(f5(a1,a2),a3)
% 72.79/72.88  [291]E(f5(a1,a6),a6)+E(f5(a1,a6),a1)+E(f5(a1,a6),a2)+E(f5(a1,a6),a4)+E(f5(a1,a6),a3)
% 72.79/72.88  [292]E(f5(a6,a3),a6)+E(f5(a6,a3),a1)+E(f5(a6,a3),a2)+E(f5(a6,a3),a4)+E(f5(a6,a3),a3)
% 72.79/72.88  [293]E(f5(a6,a3),a3)+E(f5(a6,a4),a3)+E(f5(a6,a2),a3)+E(f5(a6,a1),a3)+E(f5(a6,a6),a3)
% 72.79/72.88  [294]E(f5(a6,a3),a4)+E(f5(a6,a4),a4)+E(f5(a6,a2),a4)+E(f5(a6,a1),a4)+E(f5(a6,a6),a4)
% 72.79/72.88  [295]E(f5(a6,a3),a2)+E(f5(a6,a4),a2)+E(f5(a6,a2),a2)+E(f5(a6,a1),a2)+E(f5(a6,a6),a2)
% 72.79/72.88  [296]E(f5(a6,a3),a1)+E(f5(a6,a4),a1)+E(f5(a6,a2),a1)+E(f5(a6,a1),a1)+E(f5(a6,a6),a1)
% 72.79/72.88  [297]E(f5(a6,a3),a6)+E(f5(a6,a4),a6)+E(f5(a6,a2),a6)+E(f5(a6,a1),a6)+E(f5(a6,a6),a6)
% 72.79/72.88  [298]E(f5(a6,a4),a6)+E(f5(a6,a4),a1)+E(f5(a6,a4),a2)+E(f5(a6,a4),a4)+E(f5(a6,a4),a3)
% 72.79/72.88  [299]E(f5(a6,a2),a6)+E(f5(a6,a2),a1)+E(f5(a6,a2),a2)+E(f5(a6,a2),a4)+E(f5(a6,a2),a3)
% 72.79/72.88  [300]E(f5(a6,a1),a6)+E(f5(a6,a1),a1)+E(f5(a6,a1),a2)+E(f5(a6,a1),a4)+E(f5(a6,a1),a3)
% 72.79/72.88  [301]E(f5(a6,a6),a6)+E(f5(a6,a6),a1)+E(f5(a6,a6),a2)+E(f5(a6,a6),a4)+E(f5(a6,a6),a3)
% 72.79/72.88  %EqnAxiom
% 72.79/72.88  [1]E(x11,x11)
% 72.79/72.88  [2]E(x22,x21)+~E(x21,x22)
% 72.79/72.88  [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 72.79/72.88  [4]~E(x41,x42)+E(f5(x41,x43),f5(x42,x43))
% 72.79/72.88  [5]~E(x51,x52)+E(f5(x53,x51),f5(x53,x52))
% 72.79/72.88  [6]~P1(x61)+P1(x62)+~E(x61,x62)
% 72.79/72.88  [7]~P2(x71)+P2(x72)+~E(x71,x72)
% 72.79/72.88  
% 72.79/72.88  %-------------------------------------------
% 72.90/72.89  cnf(302,plain,
% 72.90/72.89     (E(a3,f5(a3,f5(a3,a3)))),
% 72.90/72.89     inference(scs_inference,[],[10,2])).
% 72.90/72.89  cnf(304,plain,
% 72.90/72.89     (E(f5(x3041,f5(a3,f5(a3,a3))),f5(x3041,a3))),
% 72.90/72.89     inference(scs_inference,[],[10,62,2,3,5])).
% 72.90/72.89  cnf(306,plain,
% 72.90/72.89     (~E(a3,a2)),
% 72.90/72.89     inference(scs_inference,[],[63,2])).
% 72.90/72.89  cnf(314,plain,
% 72.90/72.89     (E(f5(x3141,f5(a3,f5(a3,a2))),f5(x3141,a2))),
% 72.90/72.89     inference(scs_inference,[],[12,65,302,2,3,5])).
% 72.90/72.89  cnf(315,plain,
% 72.90/72.89     (E(f5(f5(a3,f5(a3,a2)),x3151),f5(a2,x3151))),
% 72.90/72.89     inference(scs_inference,[],[12,65,302,2,3,5,4])).
% 72.90/72.89  cnf(337,plain,
% 72.90/72.89     (E(f5(f5(a4,f5(a4,a4)),x3371),f5(a4,x3371))),
% 72.90/72.89     inference(scs_inference,[],[16,64,2,3,5,4])).
% 72.90/72.89  cnf(349,plain,
% 72.90/72.89     (E(f5(x3491,f5(a4,f5(a4,a1))),f5(x3491,a1))),
% 72.90/72.89     inference(scs_inference,[],[18,73,304,2,3,4,5])).
% 72.90/72.89  cnf(378,plain,
% 72.90/72.89     (E(f5(f5(a2,f5(a2,a2)),x3781),f5(a2,x3781))),
% 72.90/72.89     inference(scs_inference,[],[22,306,5,2,3,4])).
% 72.90/72.89  cnf(382,plain,
% 72.90/72.89     (E(a1,f5(a2,f5(a2,a1)))),
% 72.90/72.89     inference(scs_inference,[],[23,2])).
% 72.90/72.89  cnf(386,plain,
% 72.90/72.89     (E(f5(x3861,f5(a2,f5(a2,a1))),f5(x3861,a1))),
% 72.90/72.89     inference(scs_inference,[],[23,169,65,2,3,5])).
% 72.90/72.89  cnf(400,plain,
% 72.90/72.89     (E(a4,f5(a1,f5(a1,a4)))),
% 72.90/72.89     inference(scs_inference,[],[26,2])).
% 72.90/72.89  cnf(464,plain,
% 72.90/72.89     (E(f5(f5(a3,f5(a3,a2)),f5(a3,f5(a3,a2))),f5(a2,a2))),
% 72.90/72.89     inference(scs_inference,[],[8,314,315,5,2,3])).
% 72.90/72.89  cnf(477,plain,
% 72.90/72.89     (E(a6,f5(a1,f5(a1,a1)))),
% 72.90/72.89     inference(scs_inference,[],[9,2])).
% 72.90/72.89  cnf(782,plain,
% 72.90/72.89     (E(f5(a1,x7821),f5(f5(a2,f5(a2,a1)),x7821))),
% 72.90/72.89     inference(scs_inference,[],[382,349,378,464,2,3,4])).
% 72.90/72.89  cnf(813,plain,
% 72.90/72.89     (E(f5(f5(a4,f5(a4,a4)),f5(a2,f5(a2,a1))),f5(a4,a1))),
% 72.90/72.89     inference(scs_inference,[],[82,386,337,2,3])).
% 72.90/72.89  cnf(894,plain,
% 72.90/72.89     (E(a4,f5(f5(a2,f5(a2,a1)),f5(a1,a4)))),
% 72.90/72.89     inference(scs_inference,[],[400,813,782,2,3])).
% 72.90/72.89  cnf(1642,plain,
% 72.90/72.89     ($false),
% 72.90/72.89     inference(scs_inference,[],[28,477,894,71,2,3]),
% 72.90/72.89     ['proof']).
% 72.90/72.89  % SZS output end Proof
% 72.90/72.89  % Total time :72.190000s
%------------------------------------------------------------------------------