↑ Up

iProver---3.9.4.UNS-CRf.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : ALG097+1 : TPTP v9.3.1. Released v2.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM

% Computer : n003.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Fri Sep 25 12:53:25 PM UTC 2026

% Result   : Unsatisfiable 3.16s 1.27s
% Output   : CNFRefutation 3.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :   17
% Syntax   : Number of formulae    :  309 ( 173 unt;   0 def)
%            Number of atoms       : 1165 (1164 equ)
%            Maximal formula atoms :  250 (   3 avg)
%            Number of connectives : 1293 ( 437   ~; 619   |; 237   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  101 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of types       :    0 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   6 con; 0-2 aty)
%            Number of variables   :    0 (   0 sgn   0   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ( ( op(e4,e4) = e4
      | op(e4,e4) = e3
      | op(e4,e4) = e2
      | op(e4,e4) = e1
      | op(e4,e4) = e0 )
    & ( op(e4,e3) = e4
      | op(e4,e3) = e3
      | op(e4,e3) = e2
      | op(e4,e3) = e1
      | op(e4,e3) = e0 )
    & ( op(e4,e2) = e4
      | op(e4,e2) = e3
      | op(e4,e2) = e2
      | op(e4,e2) = e1
      | op(e4,e2) = e0 )
    & ( op(e4,e1) = e4
      | op(e4,e1) = e3
      | op(e4,e1) = e2
      | op(e4,e1) = e1
      | op(e4,e1) = e0 )
    & ( op(e4,e0) = e4
      | op(e4,e0) = e3
      | op(e4,e0) = e2
      | op(e4,e0) = e1
      | op(e4,e0) = e0 )
    & ( op(e3,e4) = e4
      | op(e3,e4) = e3
      | op(e3,e4) = e2
      | op(e3,e4) = e1
      | op(e3,e4) = e0 )
    & ( op(e3,e3) = e4
      | op(e3,e3) = e3
      | op(e3,e3) = e2
      | op(e3,e3) = e1
      | op(e3,e3) = e0 )
    & ( op(e3,e2) = e4
      | op(e3,e2) = e3
      | op(e3,e2) = e2
      | op(e3,e2) = e1
      | op(e3,e2) = e0 )
    & ( op(e3,e1) = e4
      | op(e3,e1) = e3
      | op(e3,e1) = e2
      | op(e3,e1) = e1
      | op(e3,e1) = e0 )
    & ( op(e3,e0) = e4
      | op(e3,e0) = e3
      | op(e3,e0) = e2
      | op(e3,e0) = e1
      | op(e3,e0) = e0 )
    & ( op(e2,e4) = e4
      | op(e2,e4) = e3
      | op(e2,e4) = e2
      | op(e2,e4) = e1
      | op(e2,e4) = e0 )
    & ( op(e2,e3) = e4
      | op(e2,e3) = e3
      | op(e2,e3) = e2
      | op(e2,e3) = e1
      | op(e2,e3) = e0 )
    & ( op(e2,e2) = e4
      | op(e2,e2) = e3
      | op(e2,e2) = e2
      | op(e2,e2) = e1
      | op(e2,e2) = e0 )
    & ( op(e2,e1) = e4
      | op(e2,e1) = e3
      | op(e2,e1) = e2
      | op(e2,e1) = e1
      | op(e2,e1) = e0 )
    & ( op(e2,e0) = e4
      | op(e2,e0) = e3
      | op(e2,e0) = e2
      | op(e2,e0) = e1
      | op(e2,e0) = e0 )
    & ( op(e1,e4) = e4
      | op(e1,e4) = e3
      | op(e1,e4) = e2
      | op(e1,e4) = e1
      | op(e1,e4) = e0 )
    & ( op(e1,e3) = e4
      | op(e1,e3) = e3
      | op(e1,e3) = e2
      | op(e1,e3) = e1
      | op(e1,e3) = e0 )
    & ( op(e1,e2) = e4
      | op(e1,e2) = e3
      | op(e1,e2) = e2
      | op(e1,e2) = e1
      | op(e1,e2) = e0 )
    & ( op(e1,e1) = e4
      | op(e1,e1) = e3
      | op(e1,e1) = e2
      | op(e1,e1) = e1
      | op(e1,e1) = e0 )
    & ( op(e1,e0) = e4
      | op(e1,e0) = e3
      | op(e1,e0) = e2
      | op(e1,e0) = e1
      | op(e1,e0) = e0 )
    & ( op(e0,e4) = e4
      | op(e0,e4) = e3
      | op(e0,e4) = e2
      | op(e0,e4) = e1
      | op(e0,e4) = e0 )
    & ( op(e0,e3) = e4
      | op(e0,e3) = e3
      | op(e0,e3) = e2
      | op(e0,e3) = e1
      | op(e0,e3) = e0 )
    & ( op(e0,e2) = e4
      | op(e0,e2) = e3
      | op(e0,e2) = e2
      | op(e0,e2) = e1
      | op(e0,e2) = e0 )
    & ( op(e0,e1) = e4
      | op(e0,e1) = e3
      | op(e0,e1) = e2
      | op(e0,e1) = e1
      | op(e0,e1) = e0 )
    & ( op(e0,e0) = e4
      | op(e0,e0) = e3
      | op(e0,e0) = e2
      | op(e0,e0) = e1
      | op(e0,e0) = e0 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1) ).

fof(f2,axiom,
    ( ( unit = e4
      | unit = e3
      | unit = e2
      | unit = e1
      | unit = e0 )
    & op(e4,unit) = e4
    & op(unit,e4) = e4
    & op(e3,unit) = e3
    & op(unit,e3) = e3
    & op(e2,unit) = e2
    & op(unit,e2) = e2
    & op(e1,unit) = e1
    & op(unit,e1) = e1
    & op(e0,unit) = e0
    & op(unit,e0) = e0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).

fof(f3,axiom,
    ( ( op(e4,e4) = e4
      | op(e3,e4) = e4
      | op(e2,e4) = e4
      | op(e1,e4) = e4
      | op(e0,e4) = e4 )
    & ( op(e4,e4) = e4
      | op(e4,e3) = e4
      | op(e4,e2) = e4
      | op(e4,e1) = e4
      | op(e4,e0) = e4 )
    & ( op(e4,e4) = e3
      | op(e3,e4) = e3
      | op(e2,e4) = e3
      | op(e1,e4) = e3
      | op(e0,e4) = e3 )
    & ( op(e4,e4) = e3
      | op(e4,e3) = e3
      | op(e4,e2) = e3
      | op(e4,e1) = e3
      | op(e4,e0) = e3 )
    & ( op(e4,e4) = e2
      | op(e3,e4) = e2
      | op(e2,e4) = e2
      | op(e1,e4) = e2
      | op(e0,e4) = e2 )
    & ( op(e4,e4) = e2
      | op(e4,e3) = e2
      | op(e4,e2) = e2
      | op(e4,e1) = e2
      | op(e4,e0) = e2 )
    & ( op(e4,e4) = e1
      | op(e3,e4) = e1
      | op(e2,e4) = e1
      | op(e1,e4) = e1
      | op(e0,e4) = e1 )
    & ( op(e4,e4) = e1
      | op(e4,e3) = e1
      | op(e4,e2) = e1
      | op(e4,e1) = e1
      | op(e4,e0) = e1 )
    & ( op(e4,e4) = e0
      | op(e3,e4) = e0
      | op(e2,e4) = e0
      | op(e1,e4) = e0
      | op(e0,e4) = e0 )
    & ( op(e4,e4) = e0
      | op(e4,e3) = e0
      | op(e4,e2) = e0
      | op(e4,e1) = e0
      | op(e4,e0) = e0 )
    & ( op(e4,e3) = e4
      | op(e3,e3) = e4
      | op(e2,e3) = e4
      | op(e1,e3) = e4
      | op(e0,e3) = e4 )
    & ( op(e3,e4) = e4
      | op(e3,e3) = e4
      | op(e3,e2) = e4
      | op(e3,e1) = e4
      | op(e3,e0) = e4 )
    & ( op(e4,e3) = e3
      | op(e3,e3) = e3
      | op(e2,e3) = e3
      | op(e1,e3) = e3
      | op(e0,e3) = e3 )
    & ( op(e3,e4) = e3
      | op(e3,e3) = e3
      | op(e3,e2) = e3
      | op(e3,e1) = e3
      | op(e3,e0) = e3 )
    & ( op(e4,e3) = e2
      | op(e3,e3) = e2
      | op(e2,e3) = e2
      | op(e1,e3) = e2
      | op(e0,e3) = e2 )
    & ( op(e3,e4) = e2
      | op(e3,e3) = e2
      | op(e3,e2) = e2
      | op(e3,e1) = e2
      | op(e3,e0) = e2 )
    & ( op(e4,e3) = e1
      | op(e3,e3) = e1
      | op(e2,e3) = e1
      | op(e1,e3) = e1
      | op(e0,e3) = e1 )
    & ( op(e3,e4) = e1
      | op(e3,e3) = e1
      | op(e3,e2) = e1
      | op(e3,e1) = e1
      | op(e3,e0) = e1 )
    & ( op(e4,e3) = e0
      | op(e3,e3) = e0
      | op(e2,e3) = e0
      | op(e1,e3) = e0
      | op(e0,e3) = e0 )
    & ( op(e3,e4) = e0
      | op(e3,e3) = e0
      | op(e3,e2) = e0
      | op(e3,e1) = e0
      | op(e3,e0) = e0 )
    & ( op(e4,e2) = e4
      | op(e3,e2) = e4
      | op(e2,e2) = e4
      | op(e1,e2) = e4
      | op(e0,e2) = e4 )
    & ( op(e2,e4) = e4
      | op(e2,e3) = e4
      | op(e2,e2) = e4
      | op(e2,e1) = e4
      | op(e2,e0) = e4 )
    & ( op(e4,e2) = e3
      | op(e3,e2) = e3
      | op(e2,e2) = e3
      | op(e1,e2) = e3
      | op(e0,e2) = e3 )
    & ( op(e2,e4) = e3
      | op(e2,e3) = e3
      | op(e2,e2) = e3
      | op(e2,e1) = e3
      | op(e2,e0) = e3 )
    & ( op(e4,e2) = e2
      | op(e3,e2) = e2
      | op(e2,e2) = e2
      | op(e1,e2) = e2
      | op(e0,e2) = e2 )
    & ( op(e2,e4) = e2
      | op(e2,e3) = e2
      | op(e2,e2) = e2
      | op(e2,e1) = e2
      | op(e2,e0) = e2 )
    & ( op(e4,e2) = e1
      | op(e3,e2) = e1
      | op(e2,e2) = e1
      | op(e1,e2) = e1
      | op(e0,e2) = e1 )
    & ( op(e2,e4) = e1
      | op(e2,e3) = e1
      | op(e2,e2) = e1
      | op(e2,e1) = e1
      | op(e2,e0) = e1 )
    & ( op(e4,e2) = e0
      | op(e3,e2) = e0
      | op(e2,e2) = e0
      | op(e1,e2) = e0
      | op(e0,e2) = e0 )
    & ( op(e2,e4) = e0
      | op(e2,e3) = e0
      | op(e2,e2) = e0
      | op(e2,e1) = e0
      | op(e2,e0) = e0 )
    & ( op(e4,e1) = e4
      | op(e3,e1) = e4
      | op(e2,e1) = e4
      | op(e1,e1) = e4
      | op(e0,e1) = e4 )
    & ( op(e1,e4) = e4
      | op(e1,e3) = e4
      | op(e1,e2) = e4
      | op(e1,e1) = e4
      | op(e1,e0) = e4 )
    & ( op(e4,e1) = e3
      | op(e3,e1) = e3
      | op(e2,e1) = e3
      | op(e1,e1) = e3
      | op(e0,e1) = e3 )
    & ( op(e1,e4) = e3
      | op(e1,e3) = e3
      | op(e1,e2) = e3
      | op(e1,e1) = e3
      | op(e1,e0) = e3 )
    & ( op(e4,e1) = e2
      | op(e3,e1) = e2
      | op(e2,e1) = e2
      | op(e1,e1) = e2
      | op(e0,e1) = e2 )
    & ( op(e1,e4) = e2
      | op(e1,e3) = e2
      | op(e1,e2) = e2
      | op(e1,e1) = e2
      | op(e1,e0) = e2 )
    & ( op(e4,e1) = e1
      | op(e3,e1) = e1
      | op(e2,e1) = e1
      | op(e1,e1) = e1
      | op(e0,e1) = e1 )
    & ( op(e1,e4) = e1
      | op(e1,e3) = e1
      | op(e1,e2) = e1
      | op(e1,e1) = e1
      | op(e1,e0) = e1 )
    & ( op(e4,e1) = e0
      | op(e3,e1) = e0
      | op(e2,e1) = e0
      | op(e1,e1) = e0
      | op(e0,e1) = e0 )
    & ( op(e1,e4) = e0
      | op(e1,e3) = e0
      | op(e1,e2) = e0
      | op(e1,e1) = e0
      | op(e1,e0) = e0 )
    & ( op(e4,e0) = e4
      | op(e3,e0) = e4
      | op(e2,e0) = e4
      | op(e1,e0) = e4
      | op(e0,e0) = e4 )
    & ( op(e0,e4) = e4
      | op(e0,e3) = e4
      | op(e0,e2) = e4
      | op(e0,e1) = e4
      | op(e0,e0) = e4 )
    & ( op(e4,e0) = e3
      | op(e3,e0) = e3
      | op(e2,e0) = e3
      | op(e1,e0) = e3
      | op(e0,e0) = e3 )
    & ( op(e0,e4) = e3
      | op(e0,e3) = e3
      | op(e0,e2) = e3
      | op(e0,e1) = e3
      | op(e0,e0) = e3 )
    & ( op(e4,e0) = e2
      | op(e3,e0) = e2
      | op(e2,e0) = e2
      | op(e1,e0) = e2
      | op(e0,e0) = e2 )
    & ( op(e0,e4) = e2
      | op(e0,e3) = e2
      | op(e0,e2) = e2
      | op(e0,e1) = e2
      | op(e0,e0) = e2 )
    & ( op(e4,e0) = e1
      | op(e3,e0) = e1
      | op(e2,e0) = e1
      | op(e1,e0) = e1
      | op(e0,e0) = e1 )
    & ( op(e0,e4) = e1
      | op(e0,e3) = e1
      | op(e0,e2) = e1
      | op(e0,e1) = e1
      | op(e0,e0) = e1 )
    & ( op(e4,e0) = e0
      | op(e3,e0) = e0
      | op(e2,e0) = e0
      | op(e1,e0) = e0
      | op(e0,e0) = e0 )
    & ( op(e0,e4) = e0
      | op(e0,e3) = e0
      | op(e0,e2) = e0
      | op(e0,e1) = e0
      | op(e0,e0) = e0 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).

fof(f4,axiom,
    ( op(e4,e3) != op(e4,e4)
    & op(e4,e2) != op(e4,e4)
    & op(e4,e2) != op(e4,e3)
    & op(e4,e1) != op(e4,e4)
    & op(e4,e1) != op(e4,e3)
    & op(e4,e1) != op(e4,e2)
    & op(e4,e0) != op(e4,e4)
    & op(e4,e0) != op(e4,e3)
    & op(e4,e0) != op(e4,e2)
    & op(e4,e0) != op(e4,e1)
    & op(e3,e3) != op(e3,e4)
    & op(e3,e2) != op(e3,e4)
    & op(e3,e2) != op(e3,e3)
    & op(e3,e1) != op(e3,e4)
    & op(e3,e1) != op(e3,e3)
    & op(e3,e1) != op(e3,e2)
    & op(e3,e0) != op(e3,e4)
    & op(e3,e0) != op(e3,e3)
    & op(e3,e0) != op(e3,e2)
    & op(e3,e0) != op(e3,e1)
    & op(e2,e3) != op(e2,e4)
    & op(e2,e2) != op(e2,e4)
    & op(e2,e2) != op(e2,e3)
    & op(e2,e1) != op(e2,e4)
    & op(e2,e1) != op(e2,e3)
    & op(e2,e1) != op(e2,e2)
    & op(e2,e0) != op(e2,e4)
    & op(e2,e0) != op(e2,e3)
    & op(e2,e0) != op(e2,e2)
    & op(e2,e0) != op(e2,e1)
    & op(e1,e3) != op(e1,e4)
    & op(e1,e2) != op(e1,e4)
    & op(e1,e2) != op(e1,e3)
    & op(e1,e1) != op(e1,e4)
    & op(e1,e1) != op(e1,e3)
    & op(e1,e1) != op(e1,e2)
    & op(e1,e0) != op(e1,e4)
    & op(e1,e0) != op(e1,e3)
    & op(e1,e0) != op(e1,e2)
    & op(e1,e0) != op(e1,e1)
    & op(e0,e3) != op(e0,e4)
    & op(e0,e2) != op(e0,e4)
    & op(e0,e2) != op(e0,e3)
    & op(e0,e1) != op(e0,e4)
    & op(e0,e1) != op(e0,e3)
    & op(e0,e1) != op(e0,e2)
    & op(e0,e0) != op(e0,e4)
    & op(e0,e0) != op(e0,e3)
    & op(e0,e0) != op(e0,e2)
    & op(e0,e0) != op(e0,e1)
    & op(e3,e4) != op(e4,e4)
    & op(e2,e4) != op(e4,e4)
    & op(e2,e4) != op(e3,e4)
    & op(e1,e4) != op(e4,e4)
    & op(e1,e4) != op(e3,e4)
    & op(e1,e4) != op(e2,e4)
    & op(e0,e4) != op(e4,e4)
    & op(e0,e4) != op(e3,e4)
    & op(e0,e4) != op(e2,e4)
    & op(e0,e4) != op(e1,e4)
    & op(e3,e3) != op(e4,e3)
    & op(e2,e3) != op(e4,e3)
    & op(e2,e3) != op(e3,e3)
    & op(e1,e3) != op(e4,e3)
    & op(e1,e3) != op(e3,e3)
    & op(e1,e3) != op(e2,e3)
    & op(e0,e3) != op(e4,e3)
    & op(e0,e3) != op(e3,e3)
    & op(e0,e3) != op(e2,e3)
    & op(e0,e3) != op(e1,e3)
    & op(e3,e2) != op(e4,e2)
    & op(e2,e2) != op(e4,e2)
    & op(e2,e2) != op(e3,e2)
    & op(e1,e2) != op(e4,e2)
    & op(e1,e2) != op(e3,e2)
    & op(e1,e2) != op(e2,e2)
    & op(e0,e2) != op(e4,e2)
    & op(e0,e2) != op(e3,e2)
    & op(e0,e2) != op(e2,e2)
    & op(e0,e2) != op(e1,e2)
    & op(e3,e1) != op(e4,e1)
    & op(e2,e1) != op(e4,e1)
    & op(e2,e1) != op(e3,e1)
    & op(e1,e1) != op(e4,e1)
    & op(e1,e1) != op(e3,e1)
    & op(e1,e1) != op(e2,e1)
    & op(e0,e1) != op(e4,e1)
    & op(e0,e1) != op(e3,e1)
    & op(e0,e1) != op(e2,e1)
    & op(e0,e1) != op(e1,e1)
    & op(e3,e0) != op(e4,e0)
    & op(e2,e0) != op(e4,e0)
    & op(e2,e0) != op(e3,e0)
    & op(e1,e0) != op(e4,e0)
    & op(e1,e0) != op(e3,e0)
    & op(e1,e0) != op(e2,e0)
    & op(e0,e0) != op(e4,e0)
    & op(e0,e0) != op(e3,e0)
    & op(e0,e0) != op(e2,e0)
    & op(e0,e0) != op(e1,e0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).

fof(f5,axiom,
    ( e3 != e4
    & e2 != e4
    & e2 != e3
    & e1 != e4
    & e1 != e3
    & e1 != e2
    & e0 != e4
    & e0 != e3
    & e0 != e2
    & e0 != e1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).

fof(f6,axiom,
    ( ( op(e4,e4) = e4
      | op(e4,e4) != e4 )
    & ( op(e4,e3) = e4
      | op(e4,e4) != e3 )
    & ( op(e4,e2) = e4
      | op(e4,e4) != e2 )
    & ( op(e4,e1) = e4
      | op(e4,e4) != e1 )
    & ( op(e4,e0) = e4
      | op(e4,e4) != e0 )
    & ( op(e3,e4) = e3
      | op(e3,e3) != e4 )
    & ( op(e3,e3) = e3
      | op(e3,e3) != e3 )
    & ( op(e3,e2) = e3
      | op(e3,e3) != e2 )
    & ( op(e3,e1) = e3
      | op(e3,e3) != e1 )
    & ( op(e3,e0) = e3
      | op(e3,e3) != e0 )
    & ( op(e2,e4) = e2
      | op(e2,e2) != e4 )
    & ( op(e2,e3) = e2
      | op(e2,e2) != e3 )
    & ( op(e2,e2) = e2
      | op(e2,e2) != e2 )
    & ( op(e2,e1) = e2
      | op(e2,e2) != e1 )
    & ( op(e2,e0) = e2
      | op(e2,e2) != e0 )
    & ( op(e1,e4) = e1
      | op(e1,e1) != e4 )
    & ( op(e1,e3) = e1
      | op(e1,e1) != e3 )
    & ( op(e1,e2) = e1
      | op(e1,e1) != e2 )
    & ( op(e1,e1) = e1
      | op(e1,e1) != e1 )
    & ( op(e1,e0) = e1
      | op(e1,e1) != e0 )
    & ( op(e0,e4) = e0
      | op(e0,e0) != e4 )
    & ( op(e0,e3) = e0
      | op(e0,e0) != e3 )
    & ( op(e0,e2) = e0
      | op(e0,e0) != e2 )
    & ( op(e0,e1) = e0
      | op(e0,e0) != e1 )
    & ( op(e0,e0) = e0
      | op(e0,e0) != e0 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).

fof(f9,axiom,
    ~ ( e2 = op(e3,e4)
      & e1 = op(e4,e3)
      & e0 = op(op(e4,e3),op(e4,e3)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax9) ).

fof(f13,axiom,
    ~ ( e3 = op(e1,e4)
      & e2 = op(e4,e1)
      & e0 = op(op(e4,e1),op(e4,e1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax13) ).

fof(f15,axiom,
    ~ ( e1 = op(e3,e4)
      & e2 = op(e4,e3)
      & e0 = op(op(e4,e3),op(e4,e3)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax15) ).

fof(f39,axiom,
    ~ ( e0 = op(e3,e4)
      & e2 = op(e4,e3)
      & e1 = op(op(e4,e3),op(e4,e3)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax39) ).

fof(f40,axiom,
    ~ ( e4 = op(e3,e0)
      & e2 = op(e0,e3)
      & e1 = op(op(e0,e3),op(e0,e3)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax40) ).

fof(f58,axiom,
    ~ ( e4 = op(e3,e1)
      & e0 = op(e1,e3)
      & e2 = op(op(e1,e3),op(e1,e3)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax58) ).

fof(f65,axiom,
    ~ ( e0 = op(e4,e3)
      & e1 = op(e3,e4)
      & e2 = op(op(e3,e4),op(e3,e4)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax65) ).

fof(f79,axiom,
    ~ ( e2 = op(e1,e4)
      & e0 = op(e4,e1)
      & e3 = op(op(e4,e1),op(e4,e1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax79) ).

fof(f80,axiom,
    ~ ( e4 = op(e1,e2)
      & e0 = op(e2,e1)
      & e3 = op(op(e2,e1),op(e2,e1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax80) ).

fof(f119,axiom,
    ~ ( e0 = op(e3,e1)
      & e2 = op(e1,e3)
      & e4 = op(op(e1,e3),op(e1,e3)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax119) ).

fof(f120,axiom,
    ~ ( e1 = op(e3,e0)
      & e2 = op(e0,e3)
      & e4 = op(op(e0,e3),op(e0,e3)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax120) ).

fof(f129,plain,
    ( e2 != op(e3,e4)
    | e1 != op(e4,e3)
    | e0 != op(op(e4,e3),op(e4,e3)) ),
    inference(ennf_transformation,[],[f9]) ).

fof(f133,plain,
    ( e3 != op(e1,e4)
    | e2 != op(e4,e1)
    | e0 != op(op(e4,e1),op(e4,e1)) ),
    inference(ennf_transformation,[],[f13]) ).

fof(f135,plain,
    ( e1 != op(e3,e4)
    | e2 != op(e4,e3)
    | e0 != op(op(e4,e3),op(e4,e3)) ),
    inference(ennf_transformation,[],[f15]) ).

fof(f159,plain,
    ( e0 != op(e3,e4)
    | e2 != op(e4,e3)
    | e1 != op(op(e4,e3),op(e4,e3)) ),
    inference(ennf_transformation,[],[f39]) ).

fof(f160,plain,
    ( e4 != op(e3,e0)
    | e2 != op(e0,e3)
    | e1 != op(op(e0,e3),op(e0,e3)) ),
    inference(ennf_transformation,[],[f40]) ).

fof(f178,plain,
    ( e4 != op(e3,e1)
    | e0 != op(e1,e3)
    | e2 != op(op(e1,e3),op(e1,e3)) ),
    inference(ennf_transformation,[],[f58]) ).

fof(f185,plain,
    ( e0 != op(e4,e3)
    | e1 != op(e3,e4)
    | e2 != op(op(e3,e4),op(e3,e4)) ),
    inference(ennf_transformation,[],[f65]) ).

fof(f199,plain,
    ( e2 != op(e1,e4)
    | e0 != op(e4,e1)
    | e3 != op(op(e4,e1),op(e4,e1)) ),
    inference(ennf_transformation,[],[f79]) ).

fof(f200,plain,
    ( e4 != op(e1,e2)
    | e0 != op(e2,e1)
    | e3 != op(op(e2,e1),op(e2,e1)) ),
    inference(ennf_transformation,[],[f80]) ).

fof(f239,plain,
    ( e0 != op(e3,e1)
    | e2 != op(e1,e3)
    | e4 != op(op(e1,e3),op(e1,e3)) ),
    inference(ennf_transformation,[],[f119]) ).

fof(f240,plain,
    ( e1 != op(e3,e0)
    | e2 != op(e0,e3)
    | e4 != op(op(e0,e3),op(e0,e3)) ),
    inference(ennf_transformation,[],[f120]) ).

fof(f247,plain,
    ( e4 = op(e4,e4)
    | e3 = op(e4,e4)
    | e2 = op(e4,e4)
    | e1 = op(e4,e4)
    | e0 = op(e4,e4) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f252,plain,
    ( e4 = op(e3,e4)
    | e3 = op(e3,e4)
    | e2 = op(e3,e4)
    | e1 = op(e3,e4)
    | e0 = op(e3,e4) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f253,plain,
    ( e4 = op(e3,e3)
    | e3 = op(e3,e3)
    | e2 = op(e3,e3)
    | e1 = op(e3,e3)
    | e0 = op(e3,e3) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f255,plain,
    ( e4 = op(e3,e1)
    | e3 = op(e3,e1)
    | e2 = op(e3,e1)
    | e1 = op(e3,e1)
    | e0 = op(e3,e1) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f256,plain,
    ( e4 = op(e3,e0)
    | e3 = op(e3,e0)
    | e2 = op(e3,e0)
    | e1 = op(e3,e0)
    | e0 = op(e3,e0) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f259,plain,
    ( e4 = op(e2,e2)
    | e3 = op(e2,e2)
    | e2 = op(e2,e2)
    | e1 = op(e2,e2)
    | e0 = op(e2,e2) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f262,plain,
    ( e4 = op(e1,e4)
    | e3 = op(e1,e4)
    | e2 = op(e1,e4)
    | e1 = op(e1,e4)
    | e0 = op(e1,e4) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f264,plain,
    ( e4 = op(e1,e2)
    | e3 = op(e1,e2)
    | e2 = op(e1,e2)
    | e1 = op(e1,e2)
    | e0 = op(e1,e2) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f265,plain,
    ( e4 = op(e1,e1)
    | e3 = op(e1,e1)
    | e2 = op(e1,e1)
    | e1 = op(e1,e1)
    | e0 = op(e1,e1) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f271,plain,
    ( op(e0,e0) = e4
    | op(e0,e0) = e3
    | op(e0,e0) = e2
    | op(e0,e0) = e1
    | e0 = op(e0,e0) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f272,plain,
    ( e4 = unit
    | e3 = unit
    | e2 = unit
    | e1 = unit
    | e0 = unit ),
    inference(cnf_transformation,[],[f2]) ).

fof(f273,plain,
    e4 = op(e4,unit),
    inference(cnf_transformation,[],[f2]) ).

fof(f274,plain,
    e4 = op(unit,e4),
    inference(cnf_transformation,[],[f2]) ).

fof(f275,plain,
    e3 = op(e3,unit),
    inference(cnf_transformation,[],[f2]) ).

fof(f276,plain,
    e3 = op(unit,e3),
    inference(cnf_transformation,[],[f2]) ).

fof(f277,plain,
    e2 = op(e2,unit),
    inference(cnf_transformation,[],[f2]) ).

fof(f278,plain,
    e2 = op(unit,e2),
    inference(cnf_transformation,[],[f2]) ).

fof(f279,plain,
    e1 = op(e1,unit),
    inference(cnf_transformation,[],[f2]) ).

fof(f280,plain,
    e1 = op(unit,e1),
    inference(cnf_transformation,[],[f2]) ).

fof(f281,plain,
    e0 = op(e0,unit),
    inference(cnf_transformation,[],[f2]) ).

fof(f282,plain,
    e0 = op(unit,e0),
    inference(cnf_transformation,[],[f2]) ).

fof(f288,plain,
    ( e2 = op(e4,e4)
    | e2 = op(e4,e3)
    | e2 = op(e4,e2)
    | e2 = op(e4,e1)
    | e2 = op(e4,e0) ),
    inference(cnf_transformation,[],[f3]) ).

fof(f289,plain,
    ( e1 = op(e4,e4)
    | e1 = op(e3,e4)
    | e1 = op(e2,e4)
    | e1 = op(e1,e4)
    | e1 = op(e0,e4) ),
    inference(cnf_transformation,[],[f3]) ).

fof(f291,plain,
    ( e0 = op(e4,e4)
    | e0 = op(e3,e4)
    | e0 = op(e2,e4)
    | e0 = op(e1,e4)
    | e0 = op(e0,e4) ),
    inference(cnf_transformation,[],[f3]) ).

fof(f297,plain,
    ( e2 = op(e4,e3)
    | e2 = op(e3,e3)
    | e2 = op(e2,e3)
    | e2 = op(e1,e3)
    | e2 = op(e0,e3) ),
    inference(cnf_transformation,[],[f3]) ).

fof(f299,plain,
    ( e1 = op(e4,e3)
    | e1 = op(e3,e3)
    | e1 = op(e2,e3)
    | e1 = op(e1,e3)
    | e1 = op(e0,e3) ),
    inference(cnf_transformation,[],[f3]) ).

fof(f301,plain,
    ( e0 = op(e4,e3)
    | e0 = op(e3,e3)
    | e0 = op(e2,e3)
    | e0 = op(e1,e3)
    | e0 = op(e0,e3) ),
    inference(cnf_transformation,[],[f3]) ).

fof(f312,plain,
    ( e0 = op(e2,e4)
    | e0 = op(e2,e3)
    | e0 = op(e2,e2)
    | e0 = op(e2,e1)
    | e0 = op(e2,e0) ),
    inference(cnf_transformation,[],[f3]) ).

fof(f318,plain,
    ( e2 = op(e1,e4)
    | e2 = op(e1,e3)
    | e2 = op(e1,e2)
    | e2 = op(e1,e1)
    | e2 = op(e1,e0) ),
    inference(cnf_transformation,[],[f3]) ).

fof(f321,plain,
    ( e0 = op(e4,e1)
    | e0 = op(e3,e1)
    | e0 = op(e2,e1)
    | e0 = op(e1,e1)
    | e0 = op(e0,e1) ),
    inference(cnf_transformation,[],[f3]) ).

fof(f322,plain,
    ( e0 = op(e1,e4)
    | e0 = op(e1,e3)
    | e0 = op(e1,e2)
    | e0 = op(e1,e1)
    | e0 = op(e1,e0) ),
    inference(cnf_transformation,[],[f3]) ).

fof(f328,plain,
    ( e2 = op(e0,e4)
    | e2 = op(e0,e3)
    | e2 = op(e0,e2)
    | e2 = op(e0,e1)
    | op(e0,e0) = e2 ),
    inference(cnf_transformation,[],[f3]) ).

fof(f329,plain,
    ( e1 = op(e4,e0)
    | e1 = op(e3,e0)
    | e1 = op(e2,e0)
    | e1 = op(e1,e0)
    | op(e0,e0) = e1 ),
    inference(cnf_transformation,[],[f3]) ).

fof(f334,plain,
    op(e4,e2) != op(e4,e4),
    inference(cnf_transformation,[],[f4]) ).

fof(f335,plain,
    op(e4,e2) != op(e4,e3),
    inference(cnf_transformation,[],[f4]) ).

fof(f338,plain,
    op(e4,e1) != op(e4,e2),
    inference(cnf_transformation,[],[f4]) ).

fof(f339,plain,
    op(e4,e0) != op(e4,e4),
    inference(cnf_transformation,[],[f4]) ).

fof(f340,plain,
    op(e4,e0) != op(e4,e3),
    inference(cnf_transformation,[],[f4]) ).

fof(f341,plain,
    op(e4,e0) != op(e4,e2),
    inference(cnf_transformation,[],[f4]) ).

fof(f342,plain,
    op(e4,e0) != op(e4,e1),
    inference(cnf_transformation,[],[f4]) ).

fof(f343,plain,
    op(e3,e3) != op(e3,e4),
    inference(cnf_transformation,[],[f4]) ).

fof(f344,plain,
    op(e3,e2) != op(e3,e4),
    inference(cnf_transformation,[],[f4]) ).

fof(f345,plain,
    op(e3,e2) != op(e3,e3),
    inference(cnf_transformation,[],[f4]) ).

fof(f346,plain,
    op(e3,e1) != op(e3,e4),
    inference(cnf_transformation,[],[f4]) ).

fof(f347,plain,
    op(e3,e1) != op(e3,e3),
    inference(cnf_transformation,[],[f4]) ).

fof(f348,plain,
    op(e3,e1) != op(e3,e2),
    inference(cnf_transformation,[],[f4]) ).

fof(f349,plain,
    op(e3,e0) != op(e3,e4),
    inference(cnf_transformation,[],[f4]) ).

fof(f350,plain,
    op(e3,e0) != op(e3,e3),
    inference(cnf_transformation,[],[f4]) ).

fof(f351,plain,
    op(e3,e0) != op(e3,e2),
    inference(cnf_transformation,[],[f4]) ).

fof(f352,plain,
    op(e3,e0) != op(e3,e1),
    inference(cnf_transformation,[],[f4]) ).

fof(f353,plain,
    op(e2,e3) != op(e2,e4),
    inference(cnf_transformation,[],[f4]) ).

fof(f356,plain,
    op(e2,e1) != op(e2,e4),
    inference(cnf_transformation,[],[f4]) ).

fof(f357,plain,
    op(e2,e1) != op(e2,e3),
    inference(cnf_transformation,[],[f4]) ).

fof(f359,plain,
    op(e2,e0) != op(e2,e4),
    inference(cnf_transformation,[],[f4]) ).

fof(f360,plain,
    op(e2,e0) != op(e2,e3),
    inference(cnf_transformation,[],[f4]) ).

fof(f361,plain,
    op(e2,e0) != op(e2,e2),
    inference(cnf_transformation,[],[f4]) ).

fof(f362,plain,
    op(e2,e0) != op(e2,e1),
    inference(cnf_transformation,[],[f4]) ).

fof(f363,plain,
    op(e1,e3) != op(e1,e4),
    inference(cnf_transformation,[],[f4]) ).

fof(f364,plain,
    op(e1,e2) != op(e1,e4),
    inference(cnf_transformation,[],[f4]) ).

fof(f365,plain,
    op(e1,e2) != op(e1,e3),
    inference(cnf_transformation,[],[f4]) ).

fof(f366,plain,
    op(e1,e1) != op(e1,e4),
    inference(cnf_transformation,[],[f4]) ).

fof(f367,plain,
    op(e1,e1) != op(e1,e3),
    inference(cnf_transformation,[],[f4]) ).

fof(f368,plain,
    op(e1,e1) != op(e1,e2),
    inference(cnf_transformation,[],[f4]) ).

fof(f369,plain,
    op(e1,e0) != op(e1,e4),
    inference(cnf_transformation,[],[f4]) ).

fof(f370,plain,
    op(e1,e0) != op(e1,e3),
    inference(cnf_transformation,[],[f4]) ).

fof(f371,plain,
    op(e1,e0) != op(e1,e2),
    inference(cnf_transformation,[],[f4]) ).

fof(f373,plain,
    op(e0,e3) != op(e0,e4),
    inference(cnf_transformation,[],[f4]) ).

fof(f374,plain,
    op(e0,e2) != op(e0,e4),
    inference(cnf_transformation,[],[f4]) ).

fof(f375,plain,
    op(e0,e2) != op(e0,e3),
    inference(cnf_transformation,[],[f4]) ).

fof(f376,plain,
    op(e0,e1) != op(e0,e4),
    inference(cnf_transformation,[],[f4]) ).

fof(f377,plain,
    op(e0,e1) != op(e0,e3),
    inference(cnf_transformation,[],[f4]) ).

fof(f378,plain,
    op(e0,e1) != op(e0,e2),
    inference(cnf_transformation,[],[f4]) ).

fof(f380,plain,
    op(e0,e0) != op(e0,e3),
    inference(cnf_transformation,[],[f4]) ).

fof(f381,plain,
    op(e0,e0) != op(e0,e2),
    inference(cnf_transformation,[],[f4]) ).

fof(f383,plain,
    op(e3,e4) != op(e4,e4),
    inference(cnf_transformation,[],[f4]) ).

fof(f385,plain,
    op(e2,e4) != op(e3,e4),
    inference(cnf_transformation,[],[f4]) ).

fof(f386,plain,
    op(e1,e4) != op(e4,e4),
    inference(cnf_transformation,[],[f4]) ).

fof(f387,plain,
    op(e1,e4) != op(e3,e4),
    inference(cnf_transformation,[],[f4]) ).

fof(f388,plain,
    op(e1,e4) != op(e2,e4),
    inference(cnf_transformation,[],[f4]) ).

fof(f390,plain,
    op(e0,e4) != op(e3,e4),
    inference(cnf_transformation,[],[f4]) ).

fof(f391,plain,
    op(e0,e4) != op(e2,e4),
    inference(cnf_transformation,[],[f4]) ).

fof(f392,plain,
    op(e0,e4) != op(e1,e4),
    inference(cnf_transformation,[],[f4]) ).

fof(f394,plain,
    op(e2,e3) != op(e4,e3),
    inference(cnf_transformation,[],[f4]) ).

fof(f398,plain,
    op(e1,e3) != op(e2,e3),
    inference(cnf_transformation,[],[f4]) ).

fof(f401,plain,
    op(e0,e3) != op(e2,e3),
    inference(cnf_transformation,[],[f4]) ).

fof(f403,plain,
    op(e3,e2) != op(e4,e2),
    inference(cnf_transformation,[],[f4]) ).

fof(f404,plain,
    op(e2,e2) != op(e4,e2),
    inference(cnf_transformation,[],[f4]) ).

fof(f406,plain,
    op(e1,e2) != op(e4,e2),
    inference(cnf_transformation,[],[f4]) ).

fof(f407,plain,
    op(e1,e2) != op(e3,e2),
    inference(cnf_transformation,[],[f4]) ).

fof(f408,plain,
    op(e1,e2) != op(e2,e2),
    inference(cnf_transformation,[],[f4]) ).

fof(f409,plain,
    op(e0,e2) != op(e4,e2),
    inference(cnf_transformation,[],[f4]) ).

fof(f413,plain,
    op(e3,e1) != op(e4,e1),
    inference(cnf_transformation,[],[f4]) ).

fof(f415,plain,
    op(e2,e1) != op(e3,e1),
    inference(cnf_transformation,[],[f4]) ).

fof(f419,plain,
    op(e0,e1) != op(e4,e1),
    inference(cnf_transformation,[],[f4]) ).

fof(f420,plain,
    op(e0,e1) != op(e3,e1),
    inference(cnf_transformation,[],[f4]) ).

fof(f423,plain,
    op(e3,e0) != op(e4,e0),
    inference(cnf_transformation,[],[f4]) ).

fof(f425,plain,
    op(e2,e0) != op(e3,e0),
    inference(cnf_transformation,[],[f4]) ).

fof(f426,plain,
    op(e1,e0) != op(e4,e0),
    inference(cnf_transformation,[],[f4]) ).

fof(f427,plain,
    op(e1,e0) != op(e3,e0),
    inference(cnf_transformation,[],[f4]) ).

fof(f428,plain,
    op(e1,e0) != op(e2,e0),
    inference(cnf_transformation,[],[f4]) ).

fof(f434,plain,
    e2 != e4,
    inference(cnf_transformation,[],[f5]) ).

fof(f435,plain,
    e2 != e3,
    inference(cnf_transformation,[],[f5]) ).

fof(f436,plain,
    e1 != e4,
    inference(cnf_transformation,[],[f5]) ).

fof(f437,plain,
    e1 != e3,
    inference(cnf_transformation,[],[f5]) ).

fof(f438,plain,
    e1 != e2,
    inference(cnf_transformation,[],[f5]) ).

fof(f439,plain,
    e0 != e4,
    inference(cnf_transformation,[],[f5]) ).

fof(f440,plain,
    e0 != e3,
    inference(cnf_transformation,[],[f5]) ).

fof(f441,plain,
    e0 != e2,
    inference(cnf_transformation,[],[f5]) ).

fof(f442,plain,
    e0 != e1,
    inference(cnf_transformation,[],[f5]) ).

fof(f444,plain,
    ( e4 = op(e4,e3)
    | e3 != op(e4,e4) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f445,plain,
    ( e4 = op(e4,e2)
    | e2 != op(e4,e4) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f446,plain,
    ( e4 = op(e4,e1)
    | e1 != op(e4,e4) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f447,plain,
    ( e4 = op(e4,e0)
    | e0 != op(e4,e4) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f448,plain,
    ( e3 = op(e3,e4)
    | e4 != op(e3,e3) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f450,plain,
    ( e3 = op(e3,e2)
    | e2 != op(e3,e3) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f451,plain,
    ( e3 = op(e3,e1)
    | e1 != op(e3,e3) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f452,plain,
    ( e3 = op(e3,e0)
    | e0 != op(e3,e3) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f453,plain,
    ( e2 = op(e2,e4)
    | e4 != op(e2,e2) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f454,plain,
    ( e2 = op(e2,e3)
    | e3 != op(e2,e2) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f456,plain,
    ( e2 = op(e2,e1)
    | e1 != op(e2,e2) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f457,plain,
    ( e2 = op(e2,e0)
    | e0 != op(e2,e2) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f458,plain,
    ( e1 = op(e1,e4)
    | e4 != op(e1,e1) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f459,plain,
    ( e1 = op(e1,e3)
    | e3 != op(e1,e1) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f460,plain,
    ( e1 = op(e1,e2)
    | e2 != op(e1,e1) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f462,plain,
    ( e1 = op(e1,e0)
    | e0 != op(e1,e1) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f463,plain,
    ( e0 = op(e0,e4)
    | op(e0,e0) != e4 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f464,plain,
    ( e0 = op(e0,e3)
    | op(e0,e0) != e3 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f465,plain,
    ( e0 = op(e0,e2)
    | op(e0,e0) != e2 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f466,plain,
    ( e0 = op(e0,e1)
    | op(e0,e0) != e1 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f470,plain,
    ( e2 != op(e3,e4)
    | e1 != op(e4,e3)
    | e0 != op(op(e4,e3),op(e4,e3)) ),
    inference(cnf_transformation,[],[f129]) ).

fof(f474,plain,
    ( e3 != op(e1,e4)
    | e2 != op(e4,e1)
    | e0 != op(op(e4,e1),op(e4,e1)) ),
    inference(cnf_transformation,[],[f133]) ).

fof(f476,plain,
    ( e1 != op(e3,e4)
    | e2 != op(e4,e3)
    | e0 != op(op(e4,e3),op(e4,e3)) ),
    inference(cnf_transformation,[],[f135]) ).

fof(f500,plain,
    ( e0 != op(e3,e4)
    | e2 != op(e4,e3)
    | e1 != op(op(e4,e3),op(e4,e3)) ),
    inference(cnf_transformation,[],[f159]) ).

fof(f501,plain,
    ( e4 != op(e3,e0)
    | e2 != op(e0,e3)
    | e1 != op(op(e0,e3),op(e0,e3)) ),
    inference(cnf_transformation,[],[f160]) ).

fof(f519,plain,
    ( e4 != op(e3,e1)
    | e0 != op(e1,e3)
    | e2 != op(op(e1,e3),op(e1,e3)) ),
    inference(cnf_transformation,[],[f178]) ).

fof(f526,plain,
    ( e0 != op(e4,e3)
    | e1 != op(e3,e4)
    | e2 != op(op(e3,e4),op(e3,e4)) ),
    inference(cnf_transformation,[],[f185]) ).

fof(f540,plain,
    ( e2 != op(e1,e4)
    | e0 != op(e4,e1)
    | e3 != op(op(e4,e1),op(e4,e1)) ),
    inference(cnf_transformation,[],[f199]) ).

fof(f541,plain,
    ( e4 != op(e1,e2)
    | e0 != op(e2,e1)
    | e3 != op(op(e2,e1),op(e2,e1)) ),
    inference(cnf_transformation,[],[f200]) ).

fof(f580,plain,
    ( e0 != op(e3,e1)
    | e2 != op(e1,e3)
    | e4 != op(op(e1,e3),op(e1,e3)) ),
    inference(cnf_transformation,[],[f239]) ).

fof(f581,plain,
    ( e1 != op(e3,e0)
    | e2 != op(e0,e3)
    | e4 != op(op(e0,e3),op(e0,e3)) ),
    inference(cnf_transformation,[],[f240]) ).

tcf(c_49,plain,
    ( ( op(e0,e0) = e4 )
    | ( op(e0,e0) = e3 )
    | ( op(e0,e0) = e2 )
    | ( op(e0,e0) = e1 )
    | ( op(e0,e0) = e0 ) ),
    inference(cnf_transformation,[],[f271]) ).

tcf(c_55,plain,
    ( ( op(e1,e1) = e4 )
    | ( op(e1,e1) = e3 )
    | ( op(e1,e1) = e2 )
    | ( op(e1,e1) = e1 )
    | ( op(e1,e1) = e0 ) ),
    inference(cnf_transformation,[],[f265]) ).

tcf(c_56,plain,
    ( ( op(e1,e2) = e4 )
    | ( op(e1,e2) = e3 )
    | ( op(e1,e2) = e2 )
    | ( op(e1,e2) = e1 )
    | ( op(e1,e2) = e0 ) ),
    inference(cnf_transformation,[],[f264]) ).

tcf(c_58,plain,
    ( ( op(e1,e4) = e4 )
    | ( op(e1,e4) = e3 )
    | ( op(e1,e4) = e2 )
    | ( op(e1,e4) = e1 )
    | ( op(e1,e4) = e0 ) ),
    inference(cnf_transformation,[],[f262]) ).

tcf(c_61,plain,
    ( ( op(e2,e2) = e4 )
    | ( op(e2,e2) = e3 )
    | ( op(e2,e2) = e2 )
    | ( op(e2,e2) = e1 )
    | ( op(e2,e2) = e0 ) ),
    inference(cnf_transformation,[],[f259]) ).

tcf(c_64,plain,
    ( ( op(e3,e0) = e4 )
    | ( op(e3,e0) = e3 )
    | ( op(e3,e0) = e2 )
    | ( op(e3,e0) = e1 )
    | ( op(e3,e0) = e0 ) ),
    inference(cnf_transformation,[],[f256]) ).

tcf(c_65,plain,
    ( ( op(e3,e1) = e4 )
    | ( op(e3,e1) = e3 )
    | ( op(e3,e1) = e2 )
    | ( op(e3,e1) = e1 )
    | ( op(e3,e1) = e0 ) ),
    inference(cnf_transformation,[],[f255]) ).

tcf(c_67,plain,
    ( ( op(e3,e3) = e4 )
    | ( op(e3,e3) = e3 )
    | ( op(e3,e3) = e2 )
    | ( op(e3,e3) = e1 )
    | ( op(e3,e3) = e0 ) ),
    inference(cnf_transformation,[],[f253]) ).

tcf(c_68,plain,
    ( ( op(e3,e4) = e4 )
    | ( op(e3,e4) = e3 )
    | ( op(e3,e4) = e2 )
    | ( op(e3,e4) = e1 )
    | ( op(e3,e4) = e0 ) ),
    inference(cnf_transformation,[],[f252]) ).

tcf(c_73,plain,
    ( ( op(e4,e4) = e4 )
    | ( op(e4,e4) = e3 )
    | ( op(e4,e4) = e2 )
    | ( op(e4,e4) = e1 )
    | ( op(e4,e4) = e0 ) ),
    inference(cnf_transformation,[],[f247]) ).

tcf(c_74,plain,
    op(unit,e0) = e0,
    inference(cnf_transformation,[],[f282]) ).

tcf(c_75,plain,
    op(e0,unit) = e0,
    inference(cnf_transformation,[],[f281]) ).

tcf(c_76,plain,
    op(unit,e1) = e1,
    inference(cnf_transformation,[],[f280]) ).

tcf(c_77,plain,
    op(e1,unit) = e1,
    inference(cnf_transformation,[],[f279]) ).

tcf(c_78,plain,
    op(unit,e2) = e2,
    inference(cnf_transformation,[],[f278]) ).

tcf(c_79,plain,
    op(e2,unit) = e2,
    inference(cnf_transformation,[],[f277]) ).

tcf(c_80,plain,
    op(unit,e3) = e3,
    inference(cnf_transformation,[],[f276]) ).

tcf(c_81,plain,
    op(e3,unit) = e3,
    inference(cnf_transformation,[],[f275]) ).

tcf(c_82,plain,
    op(unit,e4) = e4,
    inference(cnf_transformation,[],[f274]) ).

tcf(c_83,plain,
    op(e4,unit) = e4,
    inference(cnf_transformation,[],[f273]) ).

tcf(c_84,plain,
    ( ( e4 = unit )
    | ( e3 = unit )
    | ( e2 = unit )
    | ( e1 = unit )
    | ( e0 = unit ) ),
    inference(cnf_transformation,[],[f272]) ).

tcf(c_88,plain,
    ( ( op(e4,e0) = e1 )
    | ( op(e3,e0) = e1 )
    | ( op(e2,e0) = e1 )
    | ( op(e1,e0) = e1 )
    | ( op(e0,e0) = e1 ) ),
    inference(cnf_transformation,[],[f329]) ).

tcf(c_89,plain,
    ( ( op(e0,e4) = e2 )
    | ( op(e0,e3) = e2 )
    | ( op(e0,e2) = e2 )
    | ( op(e0,e1) = e2 )
    | ( op(e0,e0) = e2 ) ),
    inference(cnf_transformation,[],[f328]) ).

tcf(c_95,plain,
    ( ( op(e1,e4) = e0 )
    | ( op(e1,e3) = e0 )
    | ( op(e1,e2) = e0 )
    | ( op(e1,e1) = e0 )
    | ( op(e1,e0) = e0 ) ),
    inference(cnf_transformation,[],[f322]) ).

tcf(c_96,plain,
    ( ( op(e4,e1) = e0 )
    | ( op(e3,e1) = e0 )
    | ( op(e2,e1) = e0 )
    | ( op(e1,e1) = e0 )
    | ( op(e0,e1) = e0 ) ),
    inference(cnf_transformation,[],[f321]) ).

tcf(c_99,plain,
    ( ( op(e1,e4) = e2 )
    | ( op(e1,e3) = e2 )
    | ( op(e1,e2) = e2 )
    | ( op(e1,e1) = e2 )
    | ( op(e1,e0) = e2 ) ),
    inference(cnf_transformation,[],[f318]) ).

tcf(c_105,plain,
    ( ( op(e2,e4) = e0 )
    | ( op(e2,e3) = e0 )
    | ( op(e2,e2) = e0 )
    | ( op(e2,e1) = e0 )
    | ( op(e2,e0) = e0 ) ),
    inference(cnf_transformation,[],[f312]) ).

tcf(c_116,plain,
    ( ( op(e4,e3) = e0 )
    | ( op(e3,e3) = e0 )
    | ( op(e2,e3) = e0 )
    | ( op(e1,e3) = e0 )
    | ( op(e0,e3) = e0 ) ),
    inference(cnf_transformation,[],[f301]) ).

tcf(c_118,plain,
    ( ( op(e4,e3) = e1 )
    | ( op(e3,e3) = e1 )
    | ( op(e2,e3) = e1 )
    | ( op(e1,e3) = e1 )
    | ( op(e0,e3) = e1 ) ),
    inference(cnf_transformation,[],[f299]) ).

tcf(c_120,plain,
    ( ( op(e4,e3) = e2 )
    | ( op(e3,e3) = e2 )
    | ( op(e2,e3) = e2 )
    | ( op(e1,e3) = e2 )
    | ( op(e0,e3) = e2 ) ),
    inference(cnf_transformation,[],[f297]) ).

tcf(c_126,plain,
    ( ( op(e4,e4) = e0 )
    | ( op(e3,e4) = e0 )
    | ( op(e2,e4) = e0 )
    | ( op(e1,e4) = e0 )
    | ( op(e0,e4) = e0 ) ),
    inference(cnf_transformation,[],[f291]) ).

tcf(c_128,plain,
    ( ( op(e4,e4) = e1 )
    | ( op(e3,e4) = e1 )
    | ( op(e2,e4) = e1 )
    | ( op(e1,e4) = e1 )
    | ( op(e0,e4) = e1 ) ),
    inference(cnf_transformation,[],[f289]) ).

tcf(c_129,plain,
    ( ( op(e4,e4) = e2 )
    | ( op(e4,e3) = e2 )
    | ( op(e4,e2) = e2 )
    | ( op(e4,e1) = e2 )
    | ( op(e4,e0) = e2 ) ),
    inference(cnf_transformation,[],[f288]) ).

tcf(c_139,plain,
    op(e1,e0) != op(e2,e0),
    inference(cnf_transformation,[],[f428]) ).

tcf(c_140,plain,
    op(e1,e0) != op(e3,e0),
    inference(cnf_transformation,[],[f427]) ).

tcf(c_141,plain,
    op(e1,e0) != op(e4,e0),
    inference(cnf_transformation,[],[f426]) ).

tcf(c_142,plain,
    op(e2,e0) != op(e3,e0),
    inference(cnf_transformation,[],[f425]) ).

tcf(c_144,plain,
    op(e3,e0) != op(e4,e0),
    inference(cnf_transformation,[],[f423]) ).

tcf(c_147,plain,
    op(e0,e1) != op(e3,e1),
    inference(cnf_transformation,[],[f420]) ).

tcf(c_148,plain,
    op(e0,e1) != op(e4,e1),
    inference(cnf_transformation,[],[f419]) ).

tcf(c_152,plain,
    op(e2,e1) != op(e3,e1),
    inference(cnf_transformation,[],[f415]) ).

tcf(c_154,plain,
    op(e3,e1) != op(e4,e1),
    inference(cnf_transformation,[],[f413]) ).

tcf(c_158,plain,
    op(e0,e2) != op(e4,e2),
    inference(cnf_transformation,[],[f409]) ).

tcf(c_159,plain,
    op(e1,e2) != op(e2,e2),
    inference(cnf_transformation,[],[f408]) ).

tcf(c_160,plain,
    op(e1,e2) != op(e3,e2),
    inference(cnf_transformation,[],[f407]) ).

tcf(c_161,plain,
    op(e1,e2) != op(e4,e2),
    inference(cnf_transformation,[],[f406]) ).

tcf(c_163,plain,
    op(e2,e2) != op(e4,e2),
    inference(cnf_transformation,[],[f404]) ).

tcf(c_164,plain,
    op(e3,e2) != op(e4,e2),
    inference(cnf_transformation,[],[f403]) ).

tcf(c_166,plain,
    op(e0,e3) != op(e2,e3),
    inference(cnf_transformation,[],[f401]) ).

tcf(c_169,plain,
    op(e1,e3) != op(e2,e3),
    inference(cnf_transformation,[],[f398]) ).

tcf(c_173,plain,
    op(e2,e3) != op(e4,e3),
    inference(cnf_transformation,[],[f394]) ).

tcf(c_175,plain,
    op(e0,e4) != op(e1,e4),
    inference(cnf_transformation,[],[f392]) ).

tcf(c_176,plain,
    op(e0,e4) != op(e2,e4),
    inference(cnf_transformation,[],[f391]) ).

tcf(c_177,plain,
    op(e0,e4) != op(e3,e4),
    inference(cnf_transformation,[],[f390]) ).

tcf(c_179,plain,
    op(e1,e4) != op(e2,e4),
    inference(cnf_transformation,[],[f388]) ).

tcf(c_180,plain,
    op(e1,e4) != op(e3,e4),
    inference(cnf_transformation,[],[f387]) ).

tcf(c_181,plain,
    op(e1,e4) != op(e4,e4),
    inference(cnf_transformation,[],[f386]) ).

tcf(c_182,plain,
    op(e2,e4) != op(e3,e4),
    inference(cnf_transformation,[],[f385]) ).

tcf(c_184,plain,
    op(e3,e4) != op(e4,e4),
    inference(cnf_transformation,[],[f383]) ).

tcf(c_186,plain,
    op(e0,e0) != op(e0,e2),
    inference(cnf_transformation,[],[f381]) ).

tcf(c_187,plain,
    op(e0,e0) != op(e0,e3),
    inference(cnf_transformation,[],[f380]) ).

tcf(c_189,plain,
    op(e0,e1) != op(e0,e2),
    inference(cnf_transformation,[],[f378]) ).

tcf(c_190,plain,
    op(e0,e1) != op(e0,e3),
    inference(cnf_transformation,[],[f377]) ).

tcf(c_191,plain,
    op(e0,e1) != op(e0,e4),
    inference(cnf_transformation,[],[f376]) ).

tcf(c_192,plain,
    op(e0,e2) != op(e0,e3),
    inference(cnf_transformation,[],[f375]) ).

tcf(c_193,plain,
    op(e0,e2) != op(e0,e4),
    inference(cnf_transformation,[],[f374]) ).

tcf(c_194,plain,
    op(e0,e3) != op(e0,e4),
    inference(cnf_transformation,[],[f373]) ).

tcf(c_196,plain,
    op(e1,e0) != op(e1,e2),
    inference(cnf_transformation,[],[f371]) ).

tcf(c_197,plain,
    op(e1,e0) != op(e1,e3),
    inference(cnf_transformation,[],[f370]) ).

tcf(c_198,plain,
    op(e1,e0) != op(e1,e4),
    inference(cnf_transformation,[],[f369]) ).

tcf(c_199,plain,
    op(e1,e1) != op(e1,e2),
    inference(cnf_transformation,[],[f368]) ).

tcf(c_200,plain,
    op(e1,e1) != op(e1,e3),
    inference(cnf_transformation,[],[f367]) ).

tcf(c_201,plain,
    op(e1,e1) != op(e1,e4),
    inference(cnf_transformation,[],[f366]) ).

tcf(c_202,plain,
    op(e1,e2) != op(e1,e3),
    inference(cnf_transformation,[],[f365]) ).

tcf(c_203,plain,
    op(e1,e2) != op(e1,e4),
    inference(cnf_transformation,[],[f364]) ).

tcf(c_204,plain,
    op(e1,e3) != op(e1,e4),
    inference(cnf_transformation,[],[f363]) ).

tcf(c_205,plain,
    op(e2,e0) != op(e2,e1),
    inference(cnf_transformation,[],[f362]) ).

tcf(c_206,plain,
    op(e2,e0) != op(e2,e2),
    inference(cnf_transformation,[],[f361]) ).

tcf(c_207,plain,
    op(e2,e0) != op(e2,e3),
    inference(cnf_transformation,[],[f360]) ).

tcf(c_208,plain,
    op(e2,e0) != op(e2,e4),
    inference(cnf_transformation,[],[f359]) ).

tcf(c_210,plain,
    op(e2,e1) != op(e2,e3),
    inference(cnf_transformation,[],[f357]) ).

tcf(c_211,plain,
    op(e2,e1) != op(e2,e4),
    inference(cnf_transformation,[],[f356]) ).

tcf(c_214,plain,
    op(e2,e3) != op(e2,e4),
    inference(cnf_transformation,[],[f353]) ).

tcf(c_215,plain,
    op(e3,e0) != op(e3,e1),
    inference(cnf_transformation,[],[f352]) ).

tcf(c_216,plain,
    op(e3,e0) != op(e3,e2),
    inference(cnf_transformation,[],[f351]) ).

tcf(c_217,plain,
    op(e3,e0) != op(e3,e3),
    inference(cnf_transformation,[],[f350]) ).

tcf(c_218,plain,
    op(e3,e0) != op(e3,e4),
    inference(cnf_transformation,[],[f349]) ).

tcf(c_219,plain,
    op(e3,e1) != op(e3,e2),
    inference(cnf_transformation,[],[f348]) ).

tcf(c_220,plain,
    op(e3,e1) != op(e3,e3),
    inference(cnf_transformation,[],[f347]) ).

tcf(c_221,plain,
    op(e3,e1) != op(e3,e4),
    inference(cnf_transformation,[],[f346]) ).

tcf(c_222,plain,
    op(e3,e2) != op(e3,e3),
    inference(cnf_transformation,[],[f345]) ).

tcf(c_223,plain,
    op(e3,e2) != op(e3,e4),
    inference(cnf_transformation,[],[f344]) ).

tcf(c_224,plain,
    op(e3,e3) != op(e3,e4),
    inference(cnf_transformation,[],[f343]) ).

tcf(c_225,plain,
    op(e4,e0) != op(e4,e1),
    inference(cnf_transformation,[],[f342]) ).

tcf(c_226,plain,
    op(e4,e0) != op(e4,e2),
    inference(cnf_transformation,[],[f341]) ).

tcf(c_227,plain,
    op(e4,e0) != op(e4,e3),
    inference(cnf_transformation,[],[f340]) ).

tcf(c_228,plain,
    op(e4,e0) != op(e4,e4),
    inference(cnf_transformation,[],[f339]) ).

tcf(c_229,plain,
    op(e4,e1) != op(e4,e2),
    inference(cnf_transformation,[],[f338]) ).

tcf(c_232,plain,
    op(e4,e2) != op(e4,e3),
    inference(cnf_transformation,[],[f335]) ).

tcf(c_233,plain,
    op(e4,e2) != op(e4,e4),
    inference(cnf_transformation,[],[f334]) ).

tcf(c_235,plain,
    e0 != e1,
    inference(cnf_transformation,[],[f442]) ).

tcf(c_236,plain,
    e0 != e2,
    inference(cnf_transformation,[],[f441]) ).

tcf(c_237,plain,
    e0 != e3,
    inference(cnf_transformation,[],[f440]) ).

tcf(c_238,plain,
    e0 != e4,
    inference(cnf_transformation,[],[f439]) ).

tcf(c_239,plain,
    e1 != e2,
    inference(cnf_transformation,[],[f438]) ).

tcf(c_240,plain,
    e1 != e3,
    inference(cnf_transformation,[],[f437]) ).

tcf(c_241,plain,
    e1 != e4,
    inference(cnf_transformation,[],[f436]) ).

tcf(c_242,plain,
    e2 != e3,
    inference(cnf_transformation,[],[f435]) ).

tcf(c_243,plain,
    e2 != e4,
    inference(cnf_transformation,[],[f434]) ).

tcf(c_245,plain,
    ( ( op(e0,e1) = e0 )
    | ( op(e0,e0) != e1 ) ),
    inference(cnf_transformation,[],[f466]) ).

tcf(c_246,plain,
    ( ( op(e0,e2) = e0 )
    | ( op(e0,e0) != e2 ) ),
    inference(cnf_transformation,[],[f465]) ).

tcf(c_247,plain,
    ( ( op(e0,e3) = e0 )
    | ( op(e0,e0) != e3 ) ),
    inference(cnf_transformation,[],[f464]) ).

tcf(c_248,plain,
    ( ( op(e0,e4) = e0 )
    | ( op(e0,e0) != e4 ) ),
    inference(cnf_transformation,[],[f463]) ).

tcf(c_249,plain,
    ( ( op(e1,e0) = e1 )
    | ( op(e1,e1) != e0 ) ),
    inference(cnf_transformation,[],[f462]) ).

tcf(c_250,plain,
    ( ( op(e1,e2) = e1 )
    | ( op(e1,e1) != e2 ) ),
    inference(cnf_transformation,[],[f460]) ).

tcf(c_251,plain,
    ( ( op(e1,e3) = e1 )
    | ( op(e1,e1) != e3 ) ),
    inference(cnf_transformation,[],[f459]) ).

tcf(c_252,plain,
    ( ( op(e1,e4) = e1 )
    | ( op(e1,e1) != e4 ) ),
    inference(cnf_transformation,[],[f458]) ).

tcf(c_253,plain,
    ( ( op(e2,e0) = e2 )
    | ( op(e2,e2) != e0 ) ),
    inference(cnf_transformation,[],[f457]) ).

tcf(c_254,plain,
    ( ( op(e2,e1) = e2 )
    | ( op(e2,e2) != e1 ) ),
    inference(cnf_transformation,[],[f456]) ).

tcf(c_255,plain,
    ( ( op(e2,e3) = e2 )
    | ( op(e2,e2) != e3 ) ),
    inference(cnf_transformation,[],[f454]) ).

tcf(c_256,plain,
    ( ( op(e2,e4) = e2 )
    | ( op(e2,e2) != e4 ) ),
    inference(cnf_transformation,[],[f453]) ).

tcf(c_257,plain,
    ( ( op(e3,e0) = e3 )
    | ( op(e3,e3) != e0 ) ),
    inference(cnf_transformation,[],[f452]) ).

tcf(c_258,plain,
    ( ( op(e3,e1) = e3 )
    | ( op(e3,e3) != e1 ) ),
    inference(cnf_transformation,[],[f451]) ).

tcf(c_259,plain,
    ( ( op(e3,e2) = e3 )
    | ( op(e3,e3) != e2 ) ),
    inference(cnf_transformation,[],[f450]) ).

tcf(c_260,plain,
    ( ( op(e3,e4) = e3 )
    | ( op(e3,e3) != e4 ) ),
    inference(cnf_transformation,[],[f448]) ).

tcf(c_261,plain,
    ( ( op(e4,e0) = e4 )
    | ( op(e4,e4) != e0 ) ),
    inference(cnf_transformation,[],[f447]) ).

tcf(c_262,plain,
    ( ( op(e4,e1) = e4 )
    | ( op(e4,e4) != e1 ) ),
    inference(cnf_transformation,[],[f446]) ).

tcf(c_263,plain,
    ( ( op(e4,e2) = e4 )
    | ( op(e4,e4) != e2 ) ),
    inference(cnf_transformation,[],[f445]) ).

tcf(c_264,plain,
    ( ( op(e4,e3) = e4 )
    | ( op(e4,e4) != e3 ) ),
    inference(cnf_transformation,[],[f444]) ).

tcf(c_267,plain,
    ( ( op(e4,e3) != e1 )
    | ( op(e3,e4) != e2 )
    | ( op(op(e4,e3),op(e4,e3)) != e0 ) ),
    inference(cnf_transformation,[],[f470]) ).

tcf(c_271,plain,
    ( ( op(e4,e1) != e2 )
    | ( op(e1,e4) != e3 )
    | ( op(op(e4,e1),op(e4,e1)) != e0 ) ),
    inference(cnf_transformation,[],[f474]) ).

tcf(c_273,plain,
    ( ( op(e4,e3) != e2 )
    | ( op(e3,e4) != e1 )
    | ( op(op(e4,e3),op(e4,e3)) != e0 ) ),
    inference(cnf_transformation,[],[f476]) ).

tcf(c_297,plain,
    ( ( op(e4,e3) != e2 )
    | ( op(e3,e4) != e0 )
    | ( op(op(e4,e3),op(e4,e3)) != e1 ) ),
    inference(cnf_transformation,[],[f500]) ).

tcf(c_298,plain,
    ( ( op(e3,e0) != e4 )
    | ( op(e0,e3) != e2 )
    | ( op(op(e0,e3),op(e0,e3)) != e1 ) ),
    inference(cnf_transformation,[],[f501]) ).

tcf(c_316,plain,
    ( ( op(e3,e1) != e4 )
    | ( op(e1,e3) != e0 )
    | ( op(op(e1,e3),op(e1,e3)) != e2 ) ),
    inference(cnf_transformation,[],[f519]) ).

tcf(c_323,plain,
    ( ( op(e4,e3) != e0 )
    | ( op(e3,e4) != e1 )
    | ( op(op(e3,e4),op(e3,e4)) != e2 ) ),
    inference(cnf_transformation,[],[f526]) ).

tcf(c_337,plain,
    ( ( op(e4,e1) != e0 )
    | ( op(e1,e4) != e2 )
    | ( op(op(e4,e1),op(e4,e1)) != e3 ) ),
    inference(cnf_transformation,[],[f540]) ).

tcf(c_338,plain,
    ( ( op(e2,e1) != e0 )
    | ( op(e1,e2) != e4 )
    | ( op(op(e2,e1),op(e2,e1)) != e3 ) ),
    inference(cnf_transformation,[],[f541]) ).

tcf(c_377,plain,
    ( ( op(e3,e1) != e0 )
    | ( op(e1,e3) != e2 )
    | ( op(op(e1,e3),op(e1,e3)) != e4 ) ),
    inference(cnf_transformation,[],[f580]) ).

tcf(c_378,plain,
    ( ( op(e3,e0) != e1 )
    | ( op(e0,e3) != e2 )
    | ( op(op(e0,e3),op(e0,e3)) != e4 ) ),
    inference(cnf_transformation,[],[f581]) ).

tcf(c_2188,plain,
    $false,
    inference(smt_impl_just,[status(thm)],[c_378,c_377,c_338,c_337,c_323,c_316,c_298,c_297,c_273,c_271,c_267,c_264,c_263,c_262,c_261,c_260,c_259,c_258,c_257,c_256,c_255,c_254,c_253,c_252,c_251,c_250,c_249,c_248,c_247,c_246,c_245,c_243,c_242,c_241,c_240,c_239,c_238,c_237,c_236,c_235,c_233,c_232,c_229,c_228,c_227,c_226,c_225,c_224,c_223,c_222,c_221,c_220,c_219,c_218,c_217,c_216,c_215,c_214,c_211,c_210,c_208,c_207,c_206,c_205,c_204,c_203,c_202,c_201,c_200,c_199,c_198,c_197,c_196,c_194,c_193,c_192,c_191,c_190,c_189,c_187,c_186,c_184,c_182,c_181,c_180,c_179,c_177,c_176,c_175,c_173,c_169,c_166,c_164,c_163,c_161,c_160,c_159,c_158,c_154,c_152,c_148,c_147,c_144,c_142,c_141,c_140,c_139,c_129,c_128,c_126,c_120,c_118,c_116,c_105,c_99,c_96,c_95,c_89,c_88,c_84,c_83,c_82,c_81,c_80,c_79,c_78,c_77,c_76,c_75,c_74,c_73,c_68,c_67,c_65,c_64,c_61,c_58,c_56,c_55,c_49]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : ALG097+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.04  % Command  : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.35  % Computer : n003.cluster.edu
% 0.09/0.35  % Model    : x86_64 x86_64
% 0.09/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35  % Memory   : 8046.5625MB
% 0.09/0.35  % OS       : Linux 6.8.0-71-generic
% 0.09/0.35  % CPULimit : 300
% 0.09/0.35  % WCLimit  : 300
% 0.09/0.35  % DateTime : Fri Sep 25 04:47:21 UTC 2026
% 0.09/0.36  % CPUTime  : 
% 0.09/0.36  Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.13/0.39  Running first-order theorem proving
% 0.13/0.39  Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.41  
% 0.13/0.41  % ======== iProver multi-core TPTP/SMT =========
% 0.13/0.41  
% 0.13/0.41  % Detected problem language: tptp
% 0.13/0.42  % Proving...
% 3.16/1.27  % SZS status Started for theBenchmark.p
% 3.16/1.27  % SZS status Unsatisfiable for theBenchmark.p
% 3.16/1.27  
% 3.16/1.27  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.16/1.27  
% 3.16/1.27  % ------  iProver source info
% 3.16/1.27  
% 3.16/1.27  % git: date: 2026-07-19 20:42:38 +0200
% 3.16/1.27  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.16/1.27  % git: non_committed_changes: false
% 3.16/1.27  
% 3.16/1.27  % ------ Parsing...
% 3.16/1.27  % ------ Clausification by vclausify_rel  & Parsing by iProver...% 
% 3.16/1.27  
% 3.16/1.27  % ------ Preprocessing... sup_sim: 0  sf_s  rm: 0 0s  sf_e  pe_s  pe_e % 
% 3.16/1.27  
% 3.16/1.27  % ------ Preprocessing...% 
% 3.16/1.27  
% 3.16/1.27  % SZS status Unsatisfiable for theBenchmark.p
% 3.16/1.27  
% 3.16/1.27  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.16/1.28  
% 3.16/1.28  
%------------------------------------------------------------------------------