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E-SAT---3.5.1.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : E-SAT---3.5.1
% Problem  : ALG192+1 : TPTP v9.3.1. Released v2.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n007.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 : Thu Sep 24 12:01:28 PM UTC 2026

% Result   : Unsatisfiable 1.63s 0.81s
% Output   : CNFRefutation 1.63s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   52
%            Number of leaves      :   13
% Syntax   : Number of formulae    :  288 (  88 unt;   0 def)
%            Number of atoms       : 1484 (1483 equ)
%            Maximal formula atoms :  250 (   5 avg)
%            Number of connectives : 1656 ( 460   ~; 737   |; 459   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  101 (   4 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   5 con; 0-2 aty)
%            Number of variables   :    0 (   0 sgn   0   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(ax5,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(ax3,axiom,
    ( op(op(e4,e4),op(e4,e4)) = e4
    & op(op(e3,e4),op(e4,e3)) = e4
    & op(op(e2,e4),op(e4,e2)) = e4
    & op(op(e1,e4),op(e4,e1)) = e4
    & op(op(e0,e4),op(e4,e0)) = e4
    & op(op(e4,e3),op(e3,e4)) = e3
    & op(op(e3,e3),op(e3,e3)) = e3
    & op(op(e2,e3),op(e3,e2)) = e3
    & op(op(e1,e3),op(e3,e1)) = e3
    & op(op(e0,e3),op(e3,e0)) = e3
    & op(op(e4,e2),op(e2,e4)) = e2
    & op(op(e3,e2),op(e2,e3)) = e2
    & op(op(e2,e2),op(e2,e2)) = e2
    & op(op(e1,e2),op(e2,e1)) = e2
    & op(op(e0,e2),op(e2,e0)) = e2
    & op(op(e4,e1),op(e1,e4)) = e1
    & op(op(e3,e1),op(e1,e3)) = e1
    & op(op(e2,e1),op(e1,e2)) = e1
    & op(op(e1,e1),op(e1,e1)) = e1
    & op(op(e0,e1),op(e1,e0)) = e1
    & op(op(e4,e0),op(e0,e4)) = e0
    & op(op(e3,e0),op(e0,e3)) = e0
    & op(op(e2,e0),op(e0,e2)) = e0
    & op(op(e1,e0),op(e0,e1)) = e0
    & op(op(e0,e0),op(e0,e0)) = e0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).

fof(ax2,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',ax2) ).

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

fof(ax4,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(ax1,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(ax7,axiom,
    ~ ( e4 = op(e3,e1)
      & e2 = op(e3,op(op(e3,e1),e3))
      & e0 = op(op(e3,e1),e3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax7) ).

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

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

fof(ax21,axiom,
    ~ ( e4 = op(e1,e3)
      & e2 = op(e1,op(op(e1,e3),e1))
      & e0 = op(op(e1,e3),e1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax21) ).

fof(ax19,axiom,
    ~ ( e4 = op(e2,e3)
      & e1 = op(e2,op(op(e2,e3),e2))
      & e0 = op(op(e2,e3),e2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax19) ).

fof(ax101,axiom,
    ~ ( e1 = op(e0,e4)
      & e2 = op(e0,op(op(e0,e4),e0))
      & e3 = op(op(e0,e4),e0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax101) ).

fof(ax45,axiom,
    ~ ( e4 = op(e0,e3)
      & e2 = op(e0,op(op(e0,e3),e0))
      & e1 = op(op(e0,e3),e0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax45) ).

fof(c_0_13,plain,
    ( e3 != e4
    & e2 != e4
    & e2 != e3
    & e1 != e4
    & e1 != e3
    & e1 != e2
    & e0 != e4
    & e0 != e3
    & e0 != e2
    & e0 != e1 ),
    inference(fof_simplification,[status(thm)],[ax5]) ).

fof(c_0_14,plain,
    ( e3 != e4
    & e2 != e4
    & e2 != e3
    & e1 != e4
    & e1 != e3
    & e1 != e2
    & e0 != e4
    & e0 != e3
    & e0 != e2
    & e0 != e1 ),
    inference(fof_nnf,[status(thm)],[c_0_13]) ).

cnf(c_0_15,plain,
    op(op(e4,e0),op(e0,e4)) = e0,
    inference(split_conjunct,[status(thm)],[ax3]) ).

cnf(c_0_16,plain,
    ( op(e4,e0) = e0
    | op(e3,e0) = e0
    | op(e2,e0) = e0
    | op(e1,e0) = e0
    | op(e0,e0) = e0 ),
    inference(split_conjunct,[status(thm)],[ax2]) ).

cnf(c_0_17,plain,
    op(e0,op(e0,e4)) = e4,
    inference(split_conjunct,[status(thm)],[ax6]) ).

cnf(c_0_18,plain,
    e0 != e4,
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_19,plain,
    op(op(e3,e0),op(e0,e3)) = e0,
    inference(split_conjunct,[status(thm)],[ax3]) ).

cnf(c_0_20,plain,
    ( op(e0,e0) = e0
    | op(e1,e0) = e0
    | op(e2,e0) = e0
    | op(e3,e0) = e0 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_16]),c_0_17]),c_0_18]) ).

cnf(c_0_21,plain,
    op(e0,op(e0,e3)) = e3,
    inference(split_conjunct,[status(thm)],[ax6]) ).

cnf(c_0_22,plain,
    e0 != e3,
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

fof(c_0_23,plain,
    ( 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) ),
    inference(fof_simplification,[status(thm)],[ax4]) ).

cnf(c_0_24,plain,
    op(op(e2,e0),op(e0,e2)) = e0,
    inference(split_conjunct,[status(thm)],[ax3]) ).

cnf(c_0_25,plain,
    ( op(e2,e0) = e0
    | op(e1,e0) = e0
    | op(e0,e0) = e0 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_21]),c_0_22]) ).

cnf(c_0_26,plain,
    op(e0,op(e0,e2)) = e2,
    inference(split_conjunct,[status(thm)],[ax6]) ).

cnf(c_0_27,plain,
    e0 != e2,
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

fof(c_0_28,plain,
    ( 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) ),
    inference(fof_nnf,[status(thm)],[c_0_23]) ).

cnf(c_0_29,plain,
    op(op(e1,e0),op(e0,e1)) = e0,
    inference(split_conjunct,[status(thm)],[ax3]) ).

cnf(c_0_30,plain,
    ( op(e0,e0) = e0
    | op(e1,e0) = e0 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_26]),c_0_27]) ).

cnf(c_0_31,plain,
    op(e0,op(e0,e1)) = e1,
    inference(split_conjunct,[status(thm)],[ax6]) ).

cnf(c_0_32,plain,
    e0 != e1,
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_33,plain,
    op(e0,e0) != op(e4,e0),
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

cnf(c_0_34,plain,
    op(e0,e0) = e0,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_31]),c_0_32]) ).

cnf(c_0_35,plain,
    ( op(e4,e4) = e0
    | op(e4,e3) = e0
    | op(e4,e2) = e0
    | op(e4,e1) = e0
    | op(e4,e0) = e0 ),
    inference(split_conjunct,[status(thm)],[ax2]) ).

cnf(c_0_36,plain,
    op(e4,e0) != e0,
    inference(rw,[status(thm)],[c_0_33,c_0_34]) ).

cnf(c_0_37,plain,
    op(e0,e0) != op(e3,e0),
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

cnf(c_0_38,plain,
    op(op(e4,e4),op(e4,e4)) = e4,
    inference(split_conjunct,[status(thm)],[ax3]) ).

cnf(c_0_39,plain,
    ( op(e4,e1) = e0
    | op(e4,e2) = e0
    | op(e4,e3) = e0
    | op(e4,e4) = e0 ),
    inference(sr,[status(thm)],[c_0_35,c_0_36]) ).

cnf(c_0_40,plain,
    ( op(e3,e4) = e0
    | op(e3,e3) = e0
    | op(e3,e2) = e0
    | op(e3,e1) = e0
    | op(e3,e0) = e0 ),
    inference(split_conjunct,[status(thm)],[ax2]) ).

cnf(c_0_41,plain,
    op(e3,e0) != e0,
    inference(rw,[status(thm)],[c_0_37,c_0_34]) ).

cnf(c_0_42,plain,
    op(e0,e0) != op(e2,e0),
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

cnf(c_0_43,plain,
    op(op(e3,e4),op(e4,e3)) = e4,
    inference(split_conjunct,[status(thm)],[ax3]) ).

cnf(c_0_44,plain,
    ( op(e3,e4) = e4
    | op(e3,e3) = e4
    | op(e3,e2) = e4
    | op(e3,e1) = e4
    | op(e3,e0) = e4 ),
    inference(split_conjunct,[status(thm)],[ax2]) ).

cnf(c_0_45,plain,
    op(e4,op(e4,e3)) = e3,
    inference(split_conjunct,[status(thm)],[ax6]) ).

cnf(c_0_46,plain,
    e3 != e4,
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_47,plain,
    ( op(e4,e3) = e0
    | op(e4,e2) = e0
    | op(e4,e1) = e0 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_39]),c_0_34]),c_0_18]) ).

cnf(c_0_48,plain,
    op(e3,op(e3,e4)) = e4,
    inference(split_conjunct,[status(thm)],[ax6]) ).

cnf(c_0_49,plain,
    ( op(e3,e1) = e0
    | op(e3,e2) = e0
    | op(e3,e3) = e0
    | op(e3,e4) = e0 ),
    inference(sr,[status(thm)],[c_0_40,c_0_41]) ).

cnf(c_0_50,plain,
    ( op(e2,e4) = e0
    | op(e2,e3) = e0
    | op(e2,e2) = e0
    | op(e2,e1) = e0
    | op(e2,e0) = e0 ),
    inference(split_conjunct,[status(thm)],[ax2]) ).

cnf(c_0_51,plain,
    op(e2,e0) != e0,
    inference(rw,[status(thm)],[c_0_42,c_0_34]) ).

cnf(c_0_52,plain,
    op(op(e3,e3),op(e3,e3)) = e3,
    inference(split_conjunct,[status(thm)],[ax3]) ).

cnf(c_0_53,plain,
    ( op(e3,e0) = e4
    | op(e3,e1) = e4
    | op(e3,e2) = e4
    | op(e3,e3) = e4 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_44]),c_0_45]),c_0_46]) ).

cnf(c_0_54,plain,
    op(e3,op(e3,e3)) = e3,
    inference(split_conjunct,[status(thm)],[ax6]) ).

cnf(c_0_55,plain,
    op(e3,e2) != op(e4,e2),
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

cnf(c_0_56,plain,
    ( op(e4,e0) = e3
    | op(e4,e1) = e0
    | op(e4,e2) = e0 ),
    inference(spm,[status(thm)],[c_0_45,c_0_47]) ).

cnf(c_0_57,plain,
    ( op(e3,e0) = e4
    | op(e3,e3) = e0
    | op(e3,e2) = e0
    | op(e3,e1) = e0 ),
    inference(spm,[status(thm)],[c_0_48,c_0_49]) ).

cnf(c_0_58,plain,
    op(e2,op(e2,e4)) = e4,
    inference(split_conjunct,[status(thm)],[ax6]) ).

cnf(c_0_59,plain,
    ( op(e2,e1) = e0
    | op(e2,e2) = e0
    | op(e2,e3) = e0
    | op(e2,e4) = e0 ),
    inference(sr,[status(thm)],[c_0_50,c_0_51]) ).

cnf(c_0_60,plain,
    op(e3,e4) != op(e4,e4),
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

cnf(c_0_61,plain,
    ( op(e4,e4) = e3
    | op(e3,e2) = e4
    | op(e3,e1) = e4
    | op(e3,e0) = e4 ),
    inference(spm,[status(thm)],[c_0_52,c_0_53]) ).

cnf(c_0_62,plain,
    ( op(e3,e4) = e3
    | op(e3,e2) = e4
    | op(e3,e1) = e4
    | op(e3,e0) = e4 ),
    inference(spm,[status(thm)],[c_0_54,c_0_53]) ).

cnf(c_0_63,plain,
    ( op(e3,e2) != e0
    | op(e4,e1) = e0
    | op(e4,e0) = e3 ),
    inference(spm,[status(thm)],[c_0_55,c_0_56]) ).

cnf(c_0_64,plain,
    ( op(e3,e1) = e0
    | op(e3,e2) = e0
    | op(e3,e0) = e4 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_57]),c_0_34]),c_0_22]) ).

cnf(c_0_65,plain,
    ( op(e3,e4) = e4
    | op(e3,e4) = e3
    | op(e3,e4) = e2
    | op(e3,e4) = e1
    | op(e3,e4) = e0 ),
    inference(split_conjunct,[status(thm)],[ax1]) ).

cnf(c_0_66,plain,
    op(e4,op(e4,e2)) = e2,
    inference(split_conjunct,[status(thm)],[ax6]) ).

cnf(c_0_67,plain,
    op(e2,op(e2,e3)) = e3,
    inference(split_conjunct,[status(thm)],[ax6]) ).

cnf(c_0_68,plain,
    ( op(e2,e0) = e4
    | op(e2,e3) = e0
    | op(e2,e2) = e0
    | op(e2,e1) = e0 ),
    inference(spm,[status(thm)],[c_0_58,c_0_59]) ).

fof(c_0_69,plain,
    ( e4 != op(e3,e1)
    | e2 != op(e3,op(op(e3,e1),e3))
    | e0 != op(op(e3,e1),e3) ),
    inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[ax7])]) ).

cnf(c_0_70,plain,
    ( op(e3,e0) = e4
    | op(e3,e1) = e4
    | op(e3,e2) = e4 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_61]),c_0_62]) ).

cnf(c_0_71,plain,
    op(e4,op(e4,e1)) = e1,
    inference(split_conjunct,[status(thm)],[ax6]) ).

cnf(c_0_72,plain,
    ( op(e4,e0) = e3
    | op(e4,e1) = e0
    | op(e3,e0) = e4
    | op(e3,e1) = e0 ),
    inference(spm,[status(thm)],[c_0_63,c_0_64]) ).

cnf(c_0_73,plain,
    ( op(e3,e4) = e0
    | op(e3,e4) = e1
    | op(e3,e4) = e2
    | op(e3,e4) = e3 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_65]),c_0_45]),c_0_46]) ).

cnf(c_0_74,plain,
    op(e2,e1) != op(e4,e1),
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

cnf(c_0_75,plain,
    ( op(e4,e0) = e2
    | op(e4,e1) = e0
    | op(e4,e0) = e3 ),
    inference(spm,[status(thm)],[c_0_66,c_0_56]) ).

cnf(c_0_76,plain,
    op(op(e2,e2),op(e2,e2)) = e2,
    inference(split_conjunct,[status(thm)],[ax3]) ).

cnf(c_0_77,plain,
    ( op(e2,e0) = e3
    | op(e2,e1) = e0
    | op(e2,e2) = e0
    | op(e2,e0) = e4 ),
    inference(spm,[status(thm)],[c_0_67,c_0_68]) ).

cnf(c_0_78,plain,
    ( e4 != op(e3,e1)
    | e2 != op(e3,op(op(e3,e1),e3))
    | e0 != op(op(e3,e1),e3) ),
    inference(split_conjunct,[status(thm)],[c_0_69]) ).

cnf(c_0_79,plain,
    ( op(e3,e0) = e4
    | op(e3,e1) = e0
    | op(e3,e1) = e4 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_70]),c_0_18]) ).

cnf(c_0_80,plain,
    op(e4,op(e4,e0)) = e0,
    inference(split_conjunct,[status(thm)],[ax6]) ).

cnf(c_0_81,plain,
    ( op(e4,e0) = e1
    | op(e3,e1) = e0
    | op(e3,e0) = e4
    | op(e4,e0) = e3 ),
    inference(spm,[status(thm)],[c_0_71,c_0_72]) ).

cnf(c_0_82,plain,
    op(e3,op(e3,e2)) = e2,
    inference(split_conjunct,[status(thm)],[ax6]) ).

cnf(c_0_83,plain,
    ( op(e3,e3) = e4
    | op(e3,e4) = e2
    | op(e3,e4) = e1
    | op(e3,e4) = e0 ),
    inference(spm,[status(thm)],[c_0_48,c_0_73]) ).

cnf(c_0_84,plain,
    op(e0,e0) != op(e1,e0),
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

cnf(c_0_85,plain,
    ( op(e2,e1) != e0
    | op(e4,e0) = e3
    | op(e4,e0) = e2 ),
    inference(spm,[status(thm)],[c_0_74,c_0_75]) ).

cnf(c_0_86,plain,
    ( op(e2,e0) = e4
    | op(e2,e1) = e0
    | op(e2,e0) = e3 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_77]),c_0_34]),c_0_27]) ).

cnf(c_0_87,plain,
    ( op(e4,e3) != e0
    | op(e3,op(e4,e3)) != e2
    | op(e3,e1) = e0
    | op(e3,e0) = e4 ),
    inference(spm,[status(thm)],[c_0_78,c_0_79]) ).

cnf(c_0_88,plain,
    ( op(e4,e3) = e0
    | op(e3,e0) = e4
    | op(e3,e1) = e0
    | op(e4,e0) = e1 ),
    inference(spm,[status(thm)],[c_0_80,c_0_81]) ).

cnf(c_0_89,plain,
    ( op(e3,e0) = e2
    | op(e3,e0) = e4
    | op(e3,e1) = e0 ),
    inference(spm,[status(thm)],[c_0_82,c_0_64]) ).

cnf(c_0_90,plain,
    ( op(e3,e2) = e4
    | op(e3,e4) = e0
    | op(e3,e4) = e1
    | op(e3,e3) = e4 ),
    inference(spm,[status(thm)],[c_0_48,c_0_83]) ).

cnf(c_0_91,plain,
    ( op(e1,e4) = e0
    | op(e1,e3) = e0
    | op(e1,e2) = e0
    | op(e1,e1) = e0
    | op(e1,e0) = e0 ),
    inference(split_conjunct,[status(thm)],[ax2]) ).

cnf(c_0_92,plain,
    op(e1,e0) != e0,
    inference(rw,[status(thm)],[c_0_84,c_0_34]) ).

cnf(c_0_93,plain,
    ( op(e4,e0) = e2
    | op(e4,e0) = e3
    | op(e2,e0) = e3
    | op(e2,e0) = e4 ),
    inference(spm,[status(thm)],[c_0_85,c_0_86]) ).

cnf(c_0_94,plain,
    ( op(e3,e0) = e4
    | op(e3,e1) = e0
    | op(e4,e0) = e1 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_88]),c_0_89]) ).

cnf(c_0_95,plain,
    e1 != e3,
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_96,plain,
    e1 != e2,
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_97,plain,
    op(e3,e1) != op(e3,e4),
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

cnf(c_0_98,plain,
    ( op(e3,e1) = e4
    | op(e3,e3) = e4
    | op(e3,e4) = e0
    | op(e3,e2) = e4 ),
    inference(spm,[status(thm)],[c_0_48,c_0_90]) ).

cnf(c_0_99,plain,
    op(e1,op(e1,e4)) = e4,
    inference(split_conjunct,[status(thm)],[ax6]) ).

cnf(c_0_100,plain,
    ( op(e1,e1) = e0
    | op(e1,e2) = e0
    | op(e1,e3) = e0
    | op(e1,e4) = e0 ),
    inference(sr,[status(thm)],[c_0_91,c_0_92]) ).

cnf(c_0_101,plain,
    op(e2,e1) != op(e3,e1),
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

cnf(c_0_102,plain,
    ( op(e2,e0) = e4
    | op(e2,e0) = e3
    | op(e3,e1) = e0
    | op(e3,e0) = e4 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_94]),c_0_95]),c_0_96]) ).

cnf(c_0_103,plain,
    op(e2,op(e2,e1)) = e1,
    inference(split_conjunct,[status(thm)],[ax6]) ).

cnf(c_0_104,plain,
    ( op(e3,e1) != e0
    | op(e3,e2) = e4
    | op(e3,e3) = e4
    | op(e3,e1) = e4 ),
    inference(spm,[status(thm)],[c_0_97,c_0_98]) ).

cnf(c_0_105,plain,
    op(e3,e1) != op(e4,e1),
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

cnf(c_0_106,plain,
    op(e1,op(e1,e3)) = e3,
    inference(split_conjunct,[status(thm)],[ax6]) ).

cnf(c_0_107,plain,
    ( op(e1,e0) = e4
    | op(e1,e3) = e0
    | op(e1,e2) = e0
    | op(e1,e1) = e0 ),
    inference(spm,[status(thm)],[c_0_99,c_0_100]) ).

cnf(c_0_108,plain,
    op(e3,op(e3,e0)) = e0,
    inference(split_conjunct,[status(thm)],[ax6]) ).

cnf(c_0_109,plain,
    ( op(e3,e0) = e4
    | op(e2,e0) = e3
    | op(e2,e0) = e4 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_102]),c_0_86]) ).

cnf(c_0_110,plain,
    op(op(e2,e4),op(e4,e2)) = e4,
    inference(split_conjunct,[status(thm)],[ax3]) ).

cnf(c_0_111,plain,
    op(e2,op(e2,e0)) = e0,
    inference(split_conjunct,[status(thm)],[ax6]) ).

cnf(c_0_112,plain,
    ( op(e2,e0) = e1
    | op(e2,e0) = e3
    | op(e2,e0) = e4 ),
    inference(spm,[status(thm)],[c_0_103,c_0_86]) ).

fof(c_0_113,plain,
    ( e4 != op(e3,e2)
    | e1 != op(e3,op(op(e3,e2),e3))
    | e0 != op(op(e3,e2),e3) ),
    inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[ax13])]) ).

cnf(c_0_114,plain,
    op(e3,e1) != op(e3,e3),
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

cnf(c_0_115,plain,
    ( op(e3,e3) = e4
    | op(e3,e2) = e4
    | op(e3,e0) = e4
    | op(e3,e0) = e2 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_89]),c_0_18]) ).

cnf(c_0_116,plain,
    ( op(e3,e1) != e0
    | op(e4,e0) = e3
    | op(e4,e0) = e2 ),
    inference(spm,[status(thm)],[c_0_105,c_0_75]) ).

cnf(c_0_117,plain,
    op(e1,op(e1,e2)) = e2,
    inference(split_conjunct,[status(thm)],[ax6]) ).

cnf(c_0_118,plain,
    ( op(e1,e0) = e3
    | op(e1,e1) = e0
    | op(e1,e2) = e0
    | op(e1,e0) = e4 ),
    inference(spm,[status(thm)],[c_0_106,c_0_107]) ).

cnf(c_0_119,plain,
    op(e3,op(e3,e1)) = e1,
    inference(split_conjunct,[status(thm)],[ax6]) ).

cnf(c_0_120,plain,
    ( op(e3,e4) = e0
    | op(e2,e0) = e4
    | op(e2,e0) = e3 ),
    inference(spm,[status(thm)],[c_0_108,c_0_109]) ).

cnf(c_0_121,plain,
    ( op(e4,e1) = e0
    | op(e4,e0) = e3
    | op(op(e2,e4),e0) = e4 ),
    inference(spm,[status(thm)],[c_0_110,c_0_56]) ).

cnf(c_0_122,plain,
    ( op(e2,e4) = e0
    | op(e2,e0) = e3
    | op(e2,e0) = e1 ),
    inference(spm,[status(thm)],[c_0_111,c_0_112]) ).

cnf(c_0_123,plain,
    ( e4 != op(e3,e2)
    | e1 != op(e3,op(op(e3,e2),e3))
    | e0 != op(op(e3,e2),e3) ),
    inference(split_conjunct,[status(thm)],[c_0_113]) ).

cnf(c_0_124,plain,
    ( op(e3,e0) = e2
    | op(e3,e0) = e4
    | op(e3,e2) = e4 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_115]),c_0_70]) ).

cnf(c_0_125,plain,
    ( op(e4,e0) = e2
    | op(e4,e0) = e3
    | op(e3,e0) = e4
    | op(e3,e0) = e2 ),
    inference(spm,[status(thm)],[c_0_116,c_0_89]) ).

cnf(c_0_126,plain,
    op(op(e1,e1),op(e1,e1)) = e1,
    inference(split_conjunct,[status(thm)],[ax3]) ).

cnf(c_0_127,plain,
    ( op(e1,e0) = e2
    | op(e1,e0) = e4
    | op(e1,e1) = e0
    | op(e1,e0) = e3 ),
    inference(spm,[status(thm)],[c_0_117,c_0_118]) ).

cnf(c_0_128,plain,
    op(e1,e0) != op(e3,e0),
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

cnf(c_0_129,plain,
    ( op(e3,e0) = e1
    | op(e3,e0) = e4
    | op(e3,e0) = e2 ),
    inference(spm,[status(thm)],[c_0_119,c_0_89]) ).

cnf(c_0_130,plain,
    ( op(e2,e0) = e3
    | op(e2,e0) = e4
    | op(e0,op(e4,e3)) = e4 ),
    inference(spm,[status(thm)],[c_0_43,c_0_120]) ).

cnf(c_0_131,plain,
    ( op(e4,e3) = e0
    | op(e2,e0) = e4
    | op(e2,e0) = e3
    | op(e4,e0) = e2 ),
    inference(spm,[status(thm)],[c_0_80,c_0_93]) ).

cnf(c_0_132,plain,
    op(e2,e0) != op(e3,e0),
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

cnf(c_0_133,plain,
    ( op(e4,e0) = e3
    | op(e4,e1) = e0
    | op(e2,e0) = e1
    | op(e2,e0) = e3 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_122]),c_0_34]),c_0_18]) ).

cnf(c_0_134,plain,
    ( op(e4,e3) != e0
    | op(e3,op(e4,e3)) != e1
    | op(e3,e0) = e4
    | op(e3,e0) = e2 ),
    inference(spm,[status(thm)],[c_0_123,c_0_124]) ).

cnf(c_0_135,plain,
    ( op(e4,e3) = e0
    | op(e3,e0) = e2
    | op(e3,e0) = e4
    | op(e4,e0) = e2 ),
    inference(spm,[status(thm)],[c_0_80,c_0_125]) ).

cnf(c_0_136,plain,
    op(op(e1,e4),op(e4,e1)) = e4,
    inference(split_conjunct,[status(thm)],[ax3]) ).

cnf(c_0_137,plain,
    op(e1,op(e1,e0)) = e0,
    inference(split_conjunct,[status(thm)],[ax6]) ).

cnf(c_0_138,plain,
    ( op(e1,e0) = e3
    | op(e1,e0) = e4
    | op(e1,e0) = e2 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_126,c_0_127]),c_0_34]),c_0_32]) ).

cnf(c_0_139,plain,
    op(e1,e0) != op(e2,e0),
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

cnf(c_0_140,plain,
    ( op(e1,e0) != e4
    | op(e3,e0) = e2
    | op(e3,e0) = e1 ),
    inference(spm,[status(thm)],[c_0_128,c_0_129]) ).

cnf(c_0_141,plain,
    op(e1,e0) != op(e4,e0),
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

cnf(c_0_142,plain,
    ( op(e2,e0) = e4
    | op(e2,e0) = e3
    | op(e4,e0) = e2 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_130,c_0_131]),c_0_34]),c_0_18]) ).

cnf(c_0_143,plain,
    ( op(e2,e0) != e4
    | op(e3,e0) = e2
    | op(e3,e0) = e1 ),
    inference(spm,[status(thm)],[c_0_132,c_0_129]) ).

cnf(c_0_144,plain,
    ( op(e4,e0) = e1
    | op(e2,e0) = e3
    | op(e2,e0) = e1
    | op(e4,e0) = e3 ),
    inference(spm,[status(thm)],[c_0_71,c_0_133]) ).

cnf(c_0_145,plain,
    ( op(e3,e0) = e2
    | op(e3,e0) = e4
    | op(e4,e0) = e2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_135]),c_0_129]) ).

cnf(c_0_146,plain,
    e2 != e3,
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_147,plain,
    ( op(e4,e0) = e3
    | op(e4,e0) = e2
    | op(op(e1,e4),e0) = e4 ),
    inference(spm,[status(thm)],[c_0_136,c_0_75]) ).

cnf(c_0_148,plain,
    ( op(e1,e4) = e0
    | op(e1,e0) = e2
    | op(e1,e0) = e3 ),
    inference(spm,[status(thm)],[c_0_137,c_0_138]) ).

cnf(c_0_149,plain,
    ( op(e1,e0) != e4
    | op(e2,e0) = e3
    | op(e2,e0) = e1 ),
    inference(spm,[status(thm)],[c_0_139,c_0_112]) ).

cnf(c_0_150,plain,
    ( op(e3,e0) = e1
    | op(e3,e0) = e2
    | op(e1,e0) = e2
    | op(e1,e0) = e3 ),
    inference(spm,[status(thm)],[c_0_140,c_0_138]) ).

cnf(c_0_151,plain,
    e2 != e4,
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_152,plain,
    e1 != e4,
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_153,plain,
    ( op(e1,e0) != e2
    | op(e2,e0) = e3
    | op(e2,e0) = e4 ),
    inference(spm,[status(thm)],[c_0_141,c_0_142]) ).

cnf(c_0_154,plain,
    op(e3,e0) != op(e3,e4),
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

cnf(c_0_155,plain,
    ( op(e3,e4) = e2
    | op(e3,e1) = e4
    | op(e3,e0) = e4 ),
    inference(spm,[status(thm)],[c_0_82,c_0_70]) ).

cnf(c_0_156,plain,
    ( op(e3,e0) = e1
    | op(e3,e0) = e2
    | op(e2,e0) = e3
    | op(e2,e0) = e1 ),
    inference(spm,[status(thm)],[c_0_143,c_0_112]) ).

cnf(c_0_157,plain,
    ( op(e2,e0) = e1
    | op(e2,e0) = e3
    | op(e3,e0) = e4
    | op(e3,e0) = e2 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_144,c_0_145]),c_0_146]),c_0_96]) ).

cnf(c_0_158,plain,
    op(e2,e0) != op(e4,e0),
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

cnf(c_0_159,plain,
    ( op(e4,e0) = e2
    | op(e4,e0) = e3
    | op(e1,e0) = e3
    | op(e1,e0) = e2 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_148]),c_0_34]),c_0_18]) ).

cnf(c_0_160,plain,
    ( op(e2,e0) = e1
    | op(e2,e0) = e3
    | op(e1,e0) = e2
    | op(e1,e0) = e3 ),
    inference(spm,[status(thm)],[c_0_149,c_0_138]) ).

cnf(c_0_161,plain,
    ( op(e1,e0) = e3
    | op(e2,e0) = e4
    | op(e2,e0) = e3 ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_150,c_0_109]),c_0_151]),c_0_152]),c_0_153]) ).

cnf(c_0_162,plain,
    ( op(e3,e0) != e2
    | op(e3,e0) = e4
    | op(e3,e1) = e4 ),
    inference(spm,[status(thm)],[c_0_154,c_0_155]) ).

cnf(c_0_163,plain,
    ( op(e2,e0) = e1
    | op(e2,e0) = e3
    | op(e3,e0) = e2 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_156,c_0_157]),c_0_151]),c_0_152]) ).

cnf(c_0_164,plain,
    ( op(e2,e0) != e3
    | op(e1,e0) = e2
    | op(e1,e0) = e3
    | op(e4,e0) = e2 ),
    inference(spm,[status(thm)],[c_0_158,c_0_159]) ).

cnf(c_0_165,plain,
    ( op(e1,e0) = e3
    | op(e1,e0) = e2
    | op(e2,e0) = e3 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_160,c_0_161]),c_0_46]),c_0_152]) ).

cnf(c_0_166,plain,
    ( op(e3,e1) = e4
    | op(e2,e0) = e3
    | op(e2,e0) = e1 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_162,c_0_163]),c_0_151]) ).

cnf(c_0_167,plain,
    op(e3,e0) != op(e4,e0),
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

cnf(c_0_168,plain,
    ( op(e4,e0) = e2
    | op(e1,e0) = e3
    | op(e1,e0) = e2 ),
    inference(spm,[status(thm)],[c_0_164,c_0_165]) ).

cnf(c_0_169,plain,
    ( op(e4,e0) = e3
    | op(e3,e0) = e3
    | op(e2,e0) = e3
    | op(e1,e0) = e3
    | op(e0,e0) = e3 ),
    inference(split_conjunct,[status(thm)],[ax2]) ).

cnf(c_0_170,plain,
    ( op(e4,e3) != e0
    | op(e3,op(e4,e3)) != e2
    | op(e2,e0) = e1
    | op(e2,e0) = e3 ),
    inference(spm,[status(thm)],[c_0_78,c_0_166]) ).

cnf(c_0_171,plain,
    ( op(e4,e3) = e0
    | op(e2,e0) = e1
    | op(e2,e0) = e3
    | op(e4,e0) = e1 ),
    inference(spm,[status(thm)],[c_0_80,c_0_144]) ).

cnf(c_0_172,plain,
    ( op(e4,e3) = e4
    | op(e3,e3) = e4
    | op(e2,e3) = e4
    | op(e1,e3) = e4
    | op(e0,e3) = e4 ),
    inference(split_conjunct,[status(thm)],[ax2]) ).

cnf(c_0_173,plain,
    ( op(e2,e4) = e4
    | op(e2,e3) = e4
    | op(e2,e2) = e4
    | op(e2,e1) = e4
    | op(e2,e0) = e4 ),
    inference(split_conjunct,[status(thm)],[ax2]) ).

cnf(c_0_174,plain,
    ( op(e3,e0) != e2
    | op(e1,e0) = e2
    | op(e1,e0) = e3 ),
    inference(spm,[status(thm)],[c_0_167,c_0_168]) ).

cnf(c_0_175,plain,
    ( op(e1,e0) = e3
    | op(e2,e0) = e3
    | op(e3,e0) = e3
    | op(e4,e0) = e3 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_169,c_0_34]),c_0_22]) ).

cnf(c_0_176,plain,
    ( op(e2,e0) = e3
    | op(e2,e0) = e1
    | op(e4,e0) = e1 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_170,c_0_171]),c_0_163]) ).

cnf(c_0_177,plain,
    ( op(e4,e4) = e3
    | op(e0,e3) = e4
    | op(e1,e3) = e4
    | op(e2,e3) = e4
    | op(e3,e3) = e4 ),
    inference(spm,[status(thm)],[c_0_45,c_0_172]) ).

cnf(c_0_178,plain,
    ( op(e2,e0) = e4
    | op(e2,e1) = e4
    | op(e2,e2) = e4
    | op(e2,e3) = e4 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_173]),c_0_66]),c_0_151]) ).

cnf(c_0_179,plain,
    ( op(e3,e0) = e1
    | op(e3,e0) = e2
    | op(e2,e0) = e3
    | op(e1,e0) = e3 ),
    inference(spm,[status(thm)],[c_0_143,c_0_161]) ).

cnf(c_0_180,plain,
    ( op(e1,e0) = e3
    | op(e1,e0) = e2
    | op(e3,e0) = e1 ),
    inference(spm,[status(thm)],[c_0_174,c_0_150]) ).

cnf(c_0_181,plain,
    ( op(e3,e0) = e3
    | op(e2,e0) = e3
    | op(e1,e0) = e3
    | op(e2,e0) = e1 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_175,c_0_176]),c_0_95]) ).

cnf(c_0_182,plain,
    ( op(e3,e3) = e4
    | op(e2,e3) = e4
    | op(e1,e3) = e4
    | op(e0,e3) = e4 ),
    inference(spm,[status(thm)],[c_0_38,c_0_177]) ).

cnf(c_0_183,plain,
    op(e2,e0) != op(e2,e4),
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

cnf(c_0_184,plain,
    ( op(e2,e4) = e3
    | op(e2,e2) = e4
    | op(e2,e1) = e4
    | op(e2,e0) = e4 ),
    inference(spm,[status(thm)],[c_0_67,c_0_178]) ).

cnf(c_0_185,plain,
    ( op(e1,e0) = e3
    | op(e2,e0) = e3
    | op(e3,e0) = e1 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_179]),c_0_180]) ).

cnf(c_0_186,plain,
    ( op(e2,e0) = e1
    | op(e1,e0) = e3
    | op(e2,e0) = e3 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_129,c_0_181]),c_0_146]),c_0_46]),c_0_95]) ).

cnf(c_0_187,plain,
    ( op(e4,e4) = e3
    | op(e3,e4) = e3
    | op(e2,e4) = e3
    | op(e1,e4) = e3
    | op(e0,e4) = e3 ),
    inference(split_conjunct,[status(thm)],[ax2]) ).

cnf(c_0_188,plain,
    ( op(e4,e4) = e3
    | op(e0,e3) = e4
    | op(e1,e3) = e4
    | op(e2,e3) = e4 ),
    inference(spm,[status(thm)],[c_0_52,c_0_182]) ).

cnf(c_0_189,plain,
    ( op(e3,e4) = e3
    | op(e0,e3) = e4
    | op(e1,e3) = e4
    | op(e2,e3) = e4 ),
    inference(spm,[status(thm)],[c_0_54,c_0_182]) ).

cnf(c_0_190,plain,
    ( op(e2,e0) != e3
    | op(e2,e0) = e4
    | op(e2,e1) = e4
    | op(e2,e2) = e4 ),
    inference(spm,[status(thm)],[c_0_183,c_0_184]) ).

cnf(c_0_191,plain,
    ( op(e2,e0) = e3
    | op(e1,e0) = e3 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_185]),c_0_186]) ).

cnf(c_0_192,plain,
    ( op(e3,e3) = e4
    | op(e0,e4) = e3
    | op(e1,e4) = e3
    | op(e2,e4) = e3
    | op(e3,e4) = e3 ),
    inference(spm,[status(thm)],[c_0_38,c_0_187]) ).

cnf(c_0_193,plain,
    ( op(e2,e3) = e4
    | op(e1,e3) = e4
    | op(e0,e3) = e4 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_188]),c_0_189]) ).

cnf(c_0_194,plain,
    ( op(e2,e2) = e4
    | op(e2,e1) = e4
    | op(e1,e0) = e3 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_190,c_0_191]),c_0_46]) ).

cnf(c_0_195,plain,
    op(e2,op(e2,e2)) = e2,
    inference(split_conjunct,[status(thm)],[ax6]) ).

cnf(c_0_196,plain,
    ( op(e4,e0) = e1
    | op(e4,e0) = e3
    | op(e4,e0) = e2 ),
    inference(spm,[status(thm)],[c_0_71,c_0_75]) ).

cnf(c_0_197,plain,
    ( op(e3,e3) = e4
    | op(e2,e4) = e3
    | op(e1,e4) = e3
    | op(e0,e4) = e3 ),
    inference(spm,[status(thm)],[c_0_48,c_0_192]) ).

cnf(c_0_198,plain,
    ( op(e2,e4) = e3
    | op(e0,e3) = e4
    | op(e1,e3) = e4 ),
    inference(spm,[status(thm)],[c_0_67,c_0_193]) ).

fof(c_0_199,plain,
    ( e4 != op(e2,e1)
    | e3 != op(e2,op(op(e2,e1),e2))
    | e0 != op(op(e2,e1),e2) ),
    inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[ax9])]) ).

cnf(c_0_200,plain,
    op(e2,e4) != op(e4,e4),
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

cnf(c_0_201,plain,
    ( op(e4,e4) = e2
    | op(e1,e0) = e3
    | op(e2,e1) = e4 ),
    inference(spm,[status(thm)],[c_0_76,c_0_194]) ).

cnf(c_0_202,plain,
    ( op(e2,e4) = e2
    | op(e1,e0) = e3
    | op(e2,e1) = e4 ),
    inference(spm,[status(thm)],[c_0_195,c_0_194]) ).

cnf(c_0_203,plain,
    ( op(e2,e0) != e3
    | op(e4,e0) = e2
    | op(e4,e0) = e1 ),
    inference(spm,[status(thm)],[c_0_158,c_0_196]) ).

cnf(c_0_204,plain,
    ( op(e1,e0) != e3
    | op(e4,e0) = e2
    | op(e4,e0) = e1 ),
    inference(spm,[status(thm)],[c_0_141,c_0_196]) ).

cnf(c_0_205,plain,
    ( op(e4,e4) = e3
    | op(e0,e4) = e3
    | op(e1,e4) = e3
    | op(e2,e4) = e3 ),
    inference(spm,[status(thm)],[c_0_52,c_0_197]) ).

cnf(c_0_206,plain,
    ( op(e3,e4) = e3
    | op(e0,e4) = e3
    | op(e1,e4) = e3
    | op(e2,e4) = e3 ),
    inference(spm,[status(thm)],[c_0_54,c_0_197]) ).

cnf(c_0_207,plain,
    ( op(e2,e0) != e3
    | op(e1,e3) = e4
    | op(e0,e3) = e4 ),
    inference(spm,[status(thm)],[c_0_183,c_0_198]) ).

cnf(c_0_208,plain,
    ( e4 != op(e2,e1)
    | e3 != op(e2,op(op(e2,e1),e2))
    | e0 != op(op(e2,e1),e2) ),
    inference(split_conjunct,[status(thm)],[c_0_199]) ).

cnf(c_0_209,plain,
    ( op(e2,e1) = e4
    | op(e1,e0) = e3 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_200,c_0_201]),c_0_202]) ).

cnf(c_0_210,plain,
    ( op(e4,e0) = e1
    | op(e4,e0) = e2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_203,c_0_191]),c_0_204]) ).

cnf(c_0_211,plain,
    ( op(e2,e4) = e3
    | op(e1,e4) = e3
    | op(e0,e4) = e3 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_205]),c_0_206]) ).

fof(c_0_212,plain,
    ( e4 != op(e1,e3)
    | e2 != op(e1,op(op(e1,e3),e1))
    | e0 != op(op(e1,e3),e1) ),
    inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[ax21])]) ).

cnf(c_0_213,plain,
    ( op(e2,e0) = e1
    | op(e1,e3) = e4
    | op(e0,e3) = e4 ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_198]),c_0_22]),c_0_207]) ).

cnf(c_0_214,plain,
    ( op(e4,e2) != e0
    | op(e2,op(e4,e2)) != e3
    | op(e1,e0) = e3 ),
    inference(spm,[status(thm)],[c_0_208,c_0_209]) ).

cnf(c_0_215,plain,
    ( op(e4,e2) = e0
    | op(e4,e0) = e1 ),
    inference(spm,[status(thm)],[c_0_80,c_0_210]) ).

cnf(c_0_216,plain,
    ( op(e2,e0) != e3
    | op(e0,e4) = e3
    | op(e1,e4) = e3 ),
    inference(spm,[status(thm)],[c_0_183,c_0_211]) ).

cnf(c_0_217,plain,
    ( e4 != op(e1,e3)
    | e2 != op(e1,op(op(e1,e3),e1))
    | e0 != op(op(e1,e3),e1) ),
    inference(split_conjunct,[status(thm)],[c_0_212]) ).

cnf(c_0_218,plain,
    ( op(e1,e0) = e3
    | op(e0,e3) = e4
    | op(e1,e3) = e4 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_161,c_0_213]),c_0_95]),c_0_152]) ).

cnf(c_0_219,plain,
    ( op(e1,e0) = e3
    | op(e4,e0) = e1 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_214,c_0_215]),c_0_191]) ).

cnf(c_0_220,plain,
    ( op(e4,e2) = e0
    | op(e1,e0) = e2
    | op(e1,e0) = e3 ),
    inference(spm,[status(thm)],[c_0_80,c_0_168]) ).

cnf(c_0_221,plain,
    ( op(e1,e4) = e3
    | op(e0,e4) = e3
    | op(e1,e0) = e3 ),
    inference(spm,[status(thm)],[c_0_216,c_0_191]) ).

cnf(c_0_222,plain,
    ( op(e4,e1) != e0
    | op(e1,op(e4,e1)) != e2
    | op(e0,e3) = e4
    | op(e1,e0) = e3 ),
    inference(spm,[status(thm)],[c_0_217,c_0_218]) ).

cnf(c_0_223,plain,
    ( op(e4,e1) = e0
    | op(e1,e0) = e3 ),
    inference(spm,[status(thm)],[c_0_80,c_0_219]) ).

cnf(c_0_224,plain,
    ( op(e1,e0) = e3
    | op(e1,e0) = e2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_214,c_0_220]),c_0_191]) ).

cnf(c_0_225,plain,
    op(e0,e3) != op(e1,e3),
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

cnf(c_0_226,plain,
    ( op(e1,e3) = e4
    | op(e1,e0) = e3
    | op(e0,e4) = e3 ),
    inference(spm,[status(thm)],[c_0_99,c_0_221]) ).

cnf(c_0_227,plain,
    ( op(e1,e0) = e3
    | op(e0,e3) = e4 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_222,c_0_223]),c_0_224]) ).

cnf(c_0_228,plain,
    op(op(e1,e3),op(e3,e1)) = e3,
    inference(split_conjunct,[status(thm)],[ax3]) ).

cnf(c_0_229,plain,
    ( op(e0,e4) = e3
    | op(e1,e0) = e3 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_225,c_0_226]),c_0_227]) ).

cnf(c_0_230,plain,
    op(e1,e3) != op(e4,e3),
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

cnf(c_0_231,plain,
    ( op(e2,e0) = e1
    | op(e2,e0) = e3
    | op(op(e1,e3),e4) = e3 ),
    inference(spm,[status(thm)],[c_0_228,c_0_166]) ).

cnf(c_0_232,plain,
    ( op(e1,e3) = e0
    | op(e0,e4) = e3 ),
    inference(spm,[status(thm)],[c_0_137,c_0_229]) ).

cnf(c_0_233,plain,
    ( op(e1,e3) != e0
    | op(e4,e1) = e0
    | op(e4,e2) = e0 ),
    inference(spm,[status(thm)],[c_0_230,c_0_47]) ).

cnf(c_0_234,plain,
    ( op(e0,e4) = e3
    | op(e2,e0) = e3
    | op(e2,e0) = e1 ),
    inference(spm,[status(thm)],[c_0_231,c_0_232]) ).

cnf(c_0_235,plain,
    ( op(e4,e2) = e0
    | op(e4,e1) = e0
    | op(e0,e4) = e3 ),
    inference(spm,[status(thm)],[c_0_233,c_0_232]) ).

cnf(c_0_236,plain,
    ( op(e2,e0) = e1
    | op(e0,e4) = e3 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_234]),c_0_229]) ).

cnf(c_0_237,plain,
    op(e0,e0) != op(e0,e4),
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

fof(c_0_238,plain,
    ( e4 != op(e2,e3)
    | e1 != op(e2,op(op(e2,e3),e2))
    | e0 != op(op(e2,e3),e2) ),
    inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[ax19])]) ).

cnf(c_0_239,plain,
    ( op(e4,e0) = e2
    | op(e0,e4) = e3
    | op(e4,e1) = e0 ),
    inference(spm,[status(thm)],[c_0_66,c_0_235]) ).

cnf(c_0_240,plain,
    ( op(e2,e1) = e0
    | op(e0,e4) = e3 ),
    inference(spm,[status(thm)],[c_0_111,c_0_236]) ).

cnf(c_0_241,plain,
    ( op(e0,e4) = e4
    | op(e0,e4) = e3
    | op(e0,e4) = e2
    | op(e0,e4) = e1
    | op(e0,e4) = e0 ),
    inference(split_conjunct,[status(thm)],[ax1]) ).

cnf(c_0_242,plain,
    op(e0,e4) != e0,
    inference(rw,[status(thm)],[c_0_237,c_0_34]) ).

cnf(c_0_243,plain,
    ( e4 != op(e2,e3)
    | e1 != op(e2,op(op(e2,e3),e2))
    | e0 != op(op(e2,e3),e2) ),
    inference(split_conjunct,[status(thm)],[c_0_238]) ).

cnf(c_0_244,plain,
    ( op(e2,e3) = e4
    | op(e0,e4) = e3
    | op(e1,e4) = e3 ),
    inference(spm,[status(thm)],[c_0_58,c_0_211]) ).

cnf(c_0_245,plain,
    ( op(e0,e4) = e3
    | op(e4,e0) = e2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_239]),c_0_240]) ).

cnf(c_0_246,plain,
    op(op(e0,e4),op(e4,e0)) = e4,
    inference(split_conjunct,[status(thm)],[ax3]) ).

cnf(c_0_247,plain,
    ( op(e0,e4) = e1
    | op(e0,e4) = e2
    | op(e0,e4) = e3
    | op(e0,e4) = e4 ),
    inference(sr,[status(thm)],[c_0_241,c_0_242]) ).

cnf(c_0_248,plain,
    ( op(e4,e2) != e0
    | op(e2,op(e4,e2)) != e1
    | op(e1,e4) = e3
    | op(e0,e4) = e3 ),
    inference(spm,[status(thm)],[c_0_243,c_0_244]) ).

cnf(c_0_249,plain,
    ( op(e4,e2) = e0
    | op(e0,e4) = e3 ),
    inference(spm,[status(thm)],[c_0_80,c_0_245]) ).

cnf(c_0_250,plain,
    ( op(e0,e4) = e3
    | op(e0,e4) = e2
    | op(e0,e4) = e1 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_246,c_0_247]),c_0_80]),c_0_18]) ).

cnf(c_0_251,plain,
    op(e1,e0) != op(e1,e4),
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

cnf(c_0_252,plain,
    ( op(e0,e4) = e3
    | op(e1,e4) = e3 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_248,c_0_249]),c_0_236]) ).

cnf(c_0_253,plain,
    op(e1,e3) != op(e2,e3),
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

cnf(c_0_254,plain,
    ( op(e2,e3) = e0
    | op(e1,e0) = e3 ),
    inference(spm,[status(thm)],[c_0_111,c_0_191]) ).

fof(c_0_255,plain,
    ( e1 != op(e0,e4)
    | e2 != op(e0,op(op(e0,e4),e0))
    | e3 != op(op(e0,e4),e0) ),
    inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[ax101])]) ).

cnf(c_0_256,plain,
    ( op(e0,e3) = e4
    | op(e0,e4) = e1
    | op(e0,e4) = e2 ),
    inference(spm,[status(thm)],[c_0_17,c_0_250]) ).

cnf(c_0_257,plain,
    op(e0,e0) != op(e0,e3),
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

cnf(c_0_258,plain,
    ( op(e1,e0) = e3
    | op(e1,op(e0,e4)) = e0 ),
    inference(spm,[status(thm)],[c_0_15,c_0_219]) ).

cnf(c_0_259,plain,
    op(e0,e4) = e3,
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_251,c_0_252]),c_0_229]) ).

cnf(c_0_260,plain,
    ( op(e1,e3) != e0
    | op(e1,e0) = e3 ),
    inference(spm,[status(thm)],[c_0_253,c_0_254]) ).

cnf(c_0_261,plain,
    ( e1 != op(e0,e4)
    | e2 != op(e0,op(op(e0,e4),e0))
    | e3 != op(op(e0,e4),e0) ),
    inference(split_conjunct,[status(thm)],[c_0_255]) ).

cnf(c_0_262,plain,
    ( op(e0,e2) = e4
    | op(e0,e4) = e1
    | op(e0,e3) = e4 ),
    inference(spm,[status(thm)],[c_0_17,c_0_256]) ).

cnf(c_0_263,plain,
    ( op(e0,e4) = e2
    | op(e0,e3) = e2
    | op(e0,e2) = e2
    | op(e0,e1) = e2
    | op(e0,e0) = e2 ),
    inference(split_conjunct,[status(thm)],[ax2]) ).

fof(c_0_264,plain,
    ( e4 != op(e0,e3)
    | e2 != op(e0,op(op(e0,e3),e0))
    | e1 != op(op(e0,e3),e0) ),
    inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[ax45])]) ).

cnf(c_0_265,plain,
    ( op(e0,e3) = e4
    | op(e0,e3) = e3
    | op(e0,e3) = e2
    | op(e0,e3) = e1
    | op(e0,e3) = e0 ),
    inference(split_conjunct,[status(thm)],[ax1]) ).

cnf(c_0_266,plain,
    op(e0,e3) != e0,
    inference(rw,[status(thm)],[c_0_257,c_0_34]) ).

cnf(c_0_267,plain,
    ( op(e1,e3) = e0
    | op(e1,e0) = e2 ),
    inference(spm,[status(thm)],[c_0_137,c_0_224]) ).

cnf(c_0_268,plain,
    op(e1,e0) = e3,
    inference(csr,[status(thm)],[inference(rw,[status(thm)],[c_0_258,c_0_259]),c_0_260]) ).

cnf(c_0_269,plain,
    ( op(e1,e0) != e3
    | op(e0,op(e1,e0)) != e2
    | op(e0,e3) = e4
    | op(e0,e2) = e4 ),
    inference(spm,[status(thm)],[c_0_261,c_0_262]) ).

cnf(c_0_270,plain,
    ( op(e0,e1) = e2
    | op(e0,e2) = e2
    | op(e0,e3) = e2
    | op(e0,e4) = e2 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_263,c_0_34]),c_0_27]) ).

cnf(c_0_271,plain,
    ( e4 != op(e0,e3)
    | e2 != op(e0,op(op(e0,e3),e0))
    | e1 != op(op(e0,e3),e0) ),
    inference(split_conjunct,[status(thm)],[c_0_264]) ).

cnf(c_0_272,plain,
    ( op(e0,e3) = e1
    | op(e0,e3) = e2
    | op(e0,e3) = e3
    | op(e0,e3) = e4 ),
    inference(sr,[status(thm)],[c_0_265,c_0_266]) ).

cnf(c_0_273,plain,
    op(e1,e3) = e0,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_267,c_0_268]),c_0_146]) ).

cnf(c_0_274,plain,
    ( op(e0,e3) != e2
    | op(e0,e2) = e4
    | op(e0,e3) = e4 ),
    inference(spm,[status(thm)],[c_0_269,c_0_227]) ).

cnf(c_0_275,plain,
    ( op(e0,e2) = e4
    | op(e0,e3) = e2
    | op(e0,e2) = e2
    | op(e0,e1) = e2 ),
    inference(spm,[status(thm)],[c_0_17,c_0_270]) ).

cnf(c_0_276,plain,
    ( op(e4,e0) != e1
    | op(e0,op(e4,e0)) != e2
    | op(e0,e3) = e3
    | op(e0,e3) = e2
    | op(e0,e3) = e1 ),
    inference(spm,[status(thm)],[c_0_271,c_0_272]) ).

cnf(c_0_277,plain,
    op(e0,e3) = e4,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_256,c_0_259]),c_0_95]),c_0_259]),c_0_146]) ).

cnf(c_0_278,plain,
    ( op(e4,e0) = e1
    | op(e2,op(e0,e4)) = e0 ),
    inference(spm,[status(thm)],[c_0_15,c_0_210]) ).

cnf(c_0_279,plain,
    op(e2,e3) != e0,
    inference(rw,[status(thm)],[c_0_253,c_0_273]) ).

cnf(c_0_280,plain,
    ( op(e0,e2) = e4
    | op(e0,e1) = e2
    | op(e0,e2) = e2 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_274,c_0_275]),c_0_151]) ).

cnf(c_0_281,plain,
    ( op(e4,e0) != e1
    | op(e0,op(e4,e0)) != e2 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_276,c_0_277]),c_0_277]),c_0_277]),c_0_152]),c_0_151]),c_0_46]) ).

cnf(c_0_282,plain,
    op(e4,e0) = e1,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_278,c_0_259]),c_0_279]) ).

cnf(c_0_283,plain,
    ( op(e0,e4) = e2
    | op(e0,e2) = e2
    | op(e0,e1) = e2 ),
    inference(spm,[status(thm)],[c_0_26,c_0_280]) ).

cnf(c_0_284,plain,
    op(e0,e1) != e2,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_281,c_0_282]),c_0_282])]) ).

cnf(c_0_285,plain,
    op(op(e0,e2),op(e2,e0)) = e2,
    inference(split_conjunct,[status(thm)],[ax3]) ).

cnf(c_0_286,plain,
    op(e0,e2) = e2,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[c_0_283,c_0_284]),c_0_259]),c_0_146]) ).

cnf(c_0_287,plain,
    $false,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_285,c_0_286]),c_0_111]),c_0_27]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : ALG192+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.05  % Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.36  % Computer : n007.cluster.edu
% 0.11/0.36  % Model    : x86_64 x86_64
% 0.11/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36  % Memory   : 8046.5625MB
% 0.11/0.36  % OS       : Linux 6.8.0-71-generic
% 0.11/0.37  % CPULimit : 300
% 0.11/0.37  % WCLimit  : 300
% 0.11/0.37  % DateTime : Mon Sep 21 12:59:05 UTC 2026
% 0.11/0.37  % CPUTime  : 
% 0.11/0.37  Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.41  Running first-order theorem proving
% 0.11/0.42  Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.63/0.81  % Version: 3.5.1
% 1.63/0.81  % Preprocessing class: FSLSSMSSSSSNFFN.
% 1.63/0.81  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.63/0.81  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 1.63/0.81  % Starting new_bool_3 with 300s (1) cores
% 1.63/0.81  % Starting new_bool_1 with 300s (1) cores
% 1.63/0.81  % Starting sh5l with 300s (1) cores
% 1.63/0.81  % sh5l with pid 1130266 completed with status 9
% 1.63/0.81  % new_bool_1 with pid 1130265 completed with status 9
% 1.63/0.81  % new_bool_3 with pid 1130264 completed with status 9
% 1.63/0.81  % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 1130263 completed with status 0
% 1.63/0.81  % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 1.63/0.81  % Preprocessing class: FSLSSMSSSSSNFFN.
% 1.63/0.81  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.63/0.81  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 1.63/0.81  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 1.63/0.81  % No SInE strategy applied
% 1.63/0.81  % Search class: FGHPF-FSLM22-MFFFFFNN
% 1.63/0.81  % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 1.63/0.81  % Starting SubtermCWHack with 136s (1) cores
% 1.63/0.81  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 1.63/0.81  % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 1.63/0.81  % Starting new_bool_3 with 136s (1) cores
% 1.63/0.81  % Starting new_bool_1 with 136s (1) cores
% 1.63/0.81  % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 1130276 completed with status 0
% 1.63/0.81  % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 1.63/0.81  % Preprocessing class: FSLSSMSSSSSNFFN.
% 1.63/0.81  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.63/0.81  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 1.63/0.81  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 1.63/0.81  % No SInE strategy applied
% 1.63/0.81  % Search class: FGHPF-FSLM22-MFFFFFNN
% 1.63/0.81  % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 1.63/0.81  % Starting SubtermCWHack with 136s (1) cores
% 1.63/0.81  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 1.63/0.81  % Preprocessing time       : 0.004 s
% 1.63/0.81  % Presaturation interreduction done
% 1.63/0.81  
% 1.63/0.81  % Proof found!
% 1.63/0.81  % SZS status Unsatisfiable
% 1.63/0.81  % SZS output start CNFRefutation
% See solution above
% 1.63/0.81  % Parsed axioms                        : 126
% 1.63/0.81  % Removed by relevancy pruning/SinE    : 0
% 1.63/0.81  % Initial clauses                      : 355
% 1.63/0.81  % Removed in clause preprocessing      : 0
% 1.63/0.81  % Initial clauses in saturation        : 355
% 1.63/0.81  % Processed clauses                    : 4599
% 1.63/0.81  % ...of these trivial                  : 60
% 1.63/0.81  % ...subsumed                          : 2167
% 1.63/0.81  % ...remaining for further processing  : 2372
% 1.63/0.81  % Other redundant clauses eliminated   : 0
% 1.63/0.81  % Clauses deleted for lack of memory   : 0
% 1.63/0.81  % Backward-subsumed                    : 760
% 1.63/0.81  % Backward-rewritten                   : 887
% 1.63/0.81  % Generated clauses                    : 21993
% 1.63/0.81  % ...of the previous two non-redundant : 21749
% 1.63/0.81  % ...aggressively subsumed             : 0
% 1.63/0.81  % Contextual simplify-reflections      : 24
% 1.63/0.81  % Paramodulations                      : 21621
% 1.63/0.81  % Factorizations                       : 212
% 1.63/0.81  % NegExts                              : 0
% 1.63/0.81  % Equation resolutions                 : 0
% 1.63/0.81  % Disequality decompositions           : 0
% 1.63/0.81  % Total rewrite steps                  : 1845
% 1.63/0.81  % ...of those cached                   : 1812
% 1.63/0.81  % Propositional unsat checks           : 0
% 1.63/0.81  %    Propositional check models        : 0
% 1.63/0.81  %    Propositional check unsatisfiable : 0
% 1.63/0.81  %    Propositional clauses             : 0
% 1.63/0.81  %    Propositional clauses after purity: 0
% 1.63/0.81  %    Propositional unsat core size     : 0
% 1.63/0.81  %    Propositional preprocessing time  : 0.000
% 1.63/0.81  %    Propositional encoding time       : 0.000
% 1.63/0.81  %    Propositional solver time         : 0.000
% 1.63/0.81  %    Success case prop preproc time    : 0.000
% 1.63/0.81  %    Success case prop encoding time   : 0.000
% 1.63/0.81  %    Success case prop solver time     : 0.000
% 1.63/0.81  % Current number of processed clauses  : 210
% 1.63/0.81  %    Positive orientable unit clauses  : 35
% 1.63/0.81  %    Positive unorientable unit clauses: 0
% 1.63/0.81  %    Negative unit clauses             : 80
% 1.63/0.81  %    Non-unit-clauses                  : 95
% 1.63/0.81  % Current number of unprocessed clauses: 17020
% 1.63/0.81  % ...number of literals in the above   : 108897
% 1.63/0.81  % Current number of archived formulas  : 0
% 1.63/0.81  % Current number of archived clauses   : 2162
% 1.63/0.81  % Clause-clause subsumption calls (NU) : 38684
% 1.63/0.81  % Rec. Clause-clause subsumption calls : 7618
% 1.63/0.81  % Non-unit clause-clause subsumptions  : 1072
% 1.63/0.81  % Unit Clause-clause subsumption calls : 6154
% 1.63/0.81  % Rewrite failures with RHS unbound    : 0
% 1.63/0.81  % BW rewrite match attempts            : 10
% 1.63/0.81  % BW rewrite match successes           : 10
% 1.63/0.81  % Condensation attempts                : 0
% 1.63/0.81  % Condensation successes               : 0
% 1.63/0.81  % Termbank termtop insertions          : 313821
% 1.63/0.81  % Search garbage collected termcells   : 1057
% 1.63/0.81  
% 1.63/0.81  % -------------------------------------------------
% 1.63/0.81  % User time                : 0.352 s
% 1.63/0.81  % System time              : 0.015 s
% 1.63/0.81  % Total time               : 0.367 s
% 1.63/0.81  % Maximum resident set size: 4092 pages
% 1.63/0.81  
% 1.63/0.81  % -------------------------------------------------
% 1.63/0.81  % User time                : 1.756 s
% 1.63/0.81  % System time              : 0.131 s
% 1.63/0.81  % Total time               : 1.887 s
% 1.63/0.81  % Maximum resident set size: 4864 pages
% 1.63/0.81  % E exiting
%------------------------------------------------------------------------------