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GKC---0.8.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : GKC---0.8
% Problem  : ALG038+1 : TPTP v8.1.2. Released v2.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : gkc %s

% Computer : n022.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Aug 30 16:27:33 EDT 2023

% Result   : Theorem 14.19s 2.26s
% Output   : CNFRefutation 14.19s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named input)

% Comments : 
%------------------------------------------------------------------------------
fof('ax1_$sk',plain,
    ( ( op1(e13,e13) = e13
      | op1(e13,e13) = e12
      | op1(e13,e13) = e11
      | op1(e13,e13) = e10 )
    & ( op1(e13,e12) = e13
      | op1(e13,e12) = e12
      | op1(e13,e12) = e11
      | op1(e13,e12) = e10 )
    & ( op1(e13,e11) = e13
      | op1(e13,e11) = e12
      | op1(e13,e11) = e11
      | op1(e13,e11) = e10 )
    & ( op1(e13,e10) = e13
      | op1(e13,e10) = e12
      | op1(e13,e10) = e11
      | op1(e13,e10) = e10 )
    & ( op1(e12,e13) = e13
      | op1(e12,e13) = e12
      | op1(e12,e13) = e11
      | op1(e12,e13) = e10 )
    & ( op1(e12,e12) = e13
      | op1(e12,e12) = e12
      | op1(e12,e12) = e11
      | op1(e12,e12) = e10 )
    & ( op1(e12,e11) = e13
      | op1(e12,e11) = e12
      | op1(e12,e11) = e11
      | op1(e12,e11) = e10 )
    & ( op1(e12,e10) = e13
      | op1(e12,e10) = e12
      | op1(e12,e10) = e11
      | op1(e12,e10) = e10 )
    & ( op1(e11,e13) = e13
      | op1(e11,e13) = e12
      | op1(e11,e13) = e11
      | op1(e11,e13) = e10 )
    & ( op1(e11,e12) = e13
      | op1(e11,e12) = e12
      | op1(e11,e12) = e11
      | op1(e11,e12) = e10 )
    & ( op1(e11,e11) = e13
      | op1(e11,e11) = e12
      | op1(e11,e11) = e11
      | op1(e11,e11) = e10 )
    & ( op1(e11,e10) = e13
      | op1(e11,e10) = e12
      | op1(e11,e10) = e11
      | op1(e11,e10) = e10 )
    & ( op1(e10,e13) = e13
      | op1(e10,e13) = e12
      | op1(e10,e13) = e11
      | op1(e10,e13) = e10 )
    & ( op1(e10,e12) = e13
      | op1(e10,e12) = e12
      | op1(e10,e12) = e11
      | op1(e10,e12) = e10 )
    & ( op1(e10,e11) = e13
      | op1(e10,e11) = e12
      | op1(e10,e11) = e11
      | op1(e10,e11) = e10 )
    & ( op1(e10,e10) = e13
      | op1(e10,e10) = e12
      | op1(e10,e10) = e11
      | op1(e10,e10) = e10 ) ),
    inference(negpush_and_skolemize,[],[ax1]) ).

fof(ax1,axiom,
    ( ( op1(e10,e10) = e10
      | op1(e10,e10) = e11
      | op1(e10,e10) = e12
      | op1(e10,e10) = e13 )
    & ( op1(e10,e11) = e10
      | op1(e10,e11) = e11
      | op1(e10,e11) = e12
      | op1(e10,e11) = e13 )
    & ( op1(e10,e12) = e10
      | op1(e10,e12) = e11
      | op1(e10,e12) = e12
      | op1(e10,e12) = e13 )
    & ( op1(e10,e13) = e10
      | op1(e10,e13) = e11
      | op1(e10,e13) = e12
      | op1(e10,e13) = e13 )
    & ( op1(e11,e10) = e10
      | op1(e11,e10) = e11
      | op1(e11,e10) = e12
      | op1(e11,e10) = e13 )
    & ( op1(e11,e11) = e10
      | op1(e11,e11) = e11
      | op1(e11,e11) = e12
      | op1(e11,e11) = e13 )
    & ( op1(e11,e12) = e10
      | op1(e11,e12) = e11
      | op1(e11,e12) = e12
      | op1(e11,e12) = e13 )
    & ( op1(e11,e13) = e10
      | op1(e11,e13) = e11
      | op1(e11,e13) = e12
      | op1(e11,e13) = e13 )
    & ( op1(e12,e10) = e10
      | op1(e12,e10) = e11
      | op1(e12,e10) = e12
      | op1(e12,e10) = e13 )
    & ( op1(e12,e11) = e10
      | op1(e12,e11) = e11
      | op1(e12,e11) = e12
      | op1(e12,e11) = e13 )
    & ( op1(e12,e12) = e10
      | op1(e12,e12) = e11
      | op1(e12,e12) = e12
      | op1(e12,e12) = e13 )
    & ( op1(e12,e13) = e10
      | op1(e12,e13) = e11
      | op1(e12,e13) = e12
      | op1(e12,e13) = e13 )
    & ( op1(e13,e10) = e10
      | op1(e13,e10) = e11
      | op1(e13,e10) = e12
      | op1(e13,e10) = e13 )
    & ( op1(e13,e11) = e10
      | op1(e13,e11) = e11
      | op1(e13,e11) = e12
      | op1(e13,e11) = e13 )
    & ( op1(e13,e12) = e10
      | op1(e13,e12) = e11
      | op1(e13,e12) = e12
      | op1(e13,e12) = e13 )
    & ( op1(e13,e13) = e10
      | op1(e13,e13) = e11
      | op1(e13,e13) = e12
      | op1(e13,e13) = e13 ) ),
    input ).

fof('ax3_$sk',plain,
    ( ( op1(e13,e13) = e13
      | op1(e12,e13) = e13
      | op1(e11,e13) = e13
      | op1(e10,e13) = e13 )
    & ( op1(e13,e13) = e13
      | op1(e13,e12) = e13
      | op1(e13,e11) = e13
      | op1(e13,e10) = e13 )
    & ( op1(e13,e13) = e12
      | op1(e12,e13) = e12
      | op1(e11,e13) = e12
      | op1(e10,e13) = e12 )
    & ( op1(e13,e13) = e12
      | op1(e13,e12) = e12
      | op1(e13,e11) = e12
      | op1(e13,e10) = e12 )
    & ( op1(e13,e13) = e11
      | op1(e12,e13) = e11
      | op1(e11,e13) = e11
      | op1(e10,e13) = e11 )
    & ( op1(e13,e13) = e11
      | op1(e13,e12) = e11
      | op1(e13,e11) = e11
      | op1(e13,e10) = e11 )
    & ( op1(e13,e13) = e10
      | op1(e12,e13) = e10
      | op1(e11,e13) = e10
      | op1(e10,e13) = e10 )
    & ( op1(e13,e13) = e10
      | op1(e13,e12) = e10
      | op1(e13,e11) = e10
      | op1(e13,e10) = e10 )
    & ( op1(e13,e12) = e13
      | op1(e12,e12) = e13
      | op1(e11,e12) = e13
      | op1(e10,e12) = e13 )
    & ( op1(e12,e13) = e13
      | op1(e12,e12) = e13
      | op1(e12,e11) = e13
      | op1(e12,e10) = e13 )
    & ( op1(e13,e12) = e12
      | op1(e12,e12) = e12
      | op1(e11,e12) = e12
      | op1(e10,e12) = e12 )
    & ( op1(e12,e13) = e12
      | op1(e12,e12) = e12
      | op1(e12,e11) = e12
      | op1(e12,e10) = e12 )
    & ( op1(e13,e12) = e11
      | op1(e12,e12) = e11
      | op1(e11,e12) = e11
      | op1(e10,e12) = e11 )
    & ( op1(e12,e13) = e11
      | op1(e12,e12) = e11
      | op1(e12,e11) = e11
      | op1(e12,e10) = e11 )
    & ( op1(e13,e12) = e10
      | op1(e12,e12) = e10
      | op1(e11,e12) = e10
      | op1(e10,e12) = e10 )
    & ( op1(e12,e13) = e10
      | op1(e12,e12) = e10
      | op1(e12,e11) = e10
      | op1(e12,e10) = e10 )
    & ( op1(e13,e11) = e13
      | op1(e12,e11) = e13
      | op1(e11,e11) = e13
      | op1(e10,e11) = e13 )
    & ( op1(e11,e13) = e13
      | op1(e11,e12) = e13
      | op1(e11,e11) = e13
      | op1(e11,e10) = e13 )
    & ( op1(e13,e11) = e12
      | op1(e12,e11) = e12
      | op1(e11,e11) = e12
      | op1(e10,e11) = e12 )
    & ( op1(e11,e13) = e12
      | op1(e11,e12) = e12
      | op1(e11,e11) = e12
      | op1(e11,e10) = e12 )
    & ( op1(e13,e11) = e11
      | op1(e12,e11) = e11
      | op1(e11,e11) = e11
      | op1(e10,e11) = e11 )
    & ( op1(e11,e13) = e11
      | op1(e11,e12) = e11
      | op1(e11,e11) = e11
      | op1(e11,e10) = e11 )
    & ( op1(e13,e11) = e10
      | op1(e12,e11) = e10
      | op1(e11,e11) = e10
      | op1(e10,e11) = e10 )
    & ( op1(e11,e13) = e10
      | op1(e11,e12) = e10
      | op1(e11,e11) = e10
      | op1(e11,e10) = e10 )
    & ( op1(e13,e10) = e13
      | op1(e12,e10) = e13
      | op1(e11,e10) = e13
      | op1(e10,e10) = e13 )
    & ( op1(e10,e13) = e13
      | op1(e10,e12) = e13
      | op1(e10,e11) = e13
      | op1(e10,e10) = e13 )
    & ( op1(e13,e10) = e12
      | op1(e12,e10) = e12
      | op1(e11,e10) = e12
      | op1(e10,e10) = e12 )
    & ( op1(e10,e13) = e12
      | op1(e10,e12) = e12
      | op1(e10,e11) = e12
      | op1(e10,e10) = e12 )
    & ( op1(e13,e10) = e11
      | op1(e12,e10) = e11
      | op1(e11,e10) = e11
      | op1(e10,e10) = e11 )
    & ( op1(e10,e13) = e11
      | op1(e10,e12) = e11
      | op1(e10,e11) = e11
      | op1(e10,e10) = e11 )
    & ( op1(e13,e10) = e10
      | op1(e12,e10) = e10
      | op1(e11,e10) = e10
      | op1(e10,e10) = e10 )
    & ( op1(e10,e13) = e10
      | op1(e10,e12) = e10
      | op1(e10,e11) = e10
      | op1(e10,e10) = e10 ) ),
    inference(negpush_and_skolemize,[],[ax3]) ).

fof(ax3,axiom,
    ( ( op1(e10,e10) = e10
      | op1(e10,e11) = e10
      | op1(e10,e12) = e10
      | op1(e10,e13) = e10 )
    & ( op1(e10,e10) = e10
      | op1(e11,e10) = e10
      | op1(e12,e10) = e10
      | op1(e13,e10) = e10 )
    & ( op1(e10,e10) = e11
      | op1(e10,e11) = e11
      | op1(e10,e12) = e11
      | op1(e10,e13) = e11 )
    & ( op1(e10,e10) = e11
      | op1(e11,e10) = e11
      | op1(e12,e10) = e11
      | op1(e13,e10) = e11 )
    & ( op1(e10,e10) = e12
      | op1(e10,e11) = e12
      | op1(e10,e12) = e12
      | op1(e10,e13) = e12 )
    & ( op1(e10,e10) = e12
      | op1(e11,e10) = e12
      | op1(e12,e10) = e12
      | op1(e13,e10) = e12 )
    & ( op1(e10,e10) = e13
      | op1(e10,e11) = e13
      | op1(e10,e12) = e13
      | op1(e10,e13) = e13 )
    & ( op1(e10,e10) = e13
      | op1(e11,e10) = e13
      | op1(e12,e10) = e13
      | op1(e13,e10) = e13 )
    & ( op1(e11,e10) = e10
      | op1(e11,e11) = e10
      | op1(e11,e12) = e10
      | op1(e11,e13) = e10 )
    & ( op1(e10,e11) = e10
      | op1(e11,e11) = e10
      | op1(e12,e11) = e10
      | op1(e13,e11) = e10 )
    & ( op1(e11,e10) = e11
      | op1(e11,e11) = e11
      | op1(e11,e12) = e11
      | op1(e11,e13) = e11 )
    & ( op1(e10,e11) = e11
      | op1(e11,e11) = e11
      | op1(e12,e11) = e11
      | op1(e13,e11) = e11 )
    & ( op1(e11,e10) = e12
      | op1(e11,e11) = e12
      | op1(e11,e12) = e12
      | op1(e11,e13) = e12 )
    & ( op1(e10,e11) = e12
      | op1(e11,e11) = e12
      | op1(e12,e11) = e12
      | op1(e13,e11) = e12 )
    & ( op1(e11,e10) = e13
      | op1(e11,e11) = e13
      | op1(e11,e12) = e13
      | op1(e11,e13) = e13 )
    & ( op1(e10,e11) = e13
      | op1(e11,e11) = e13
      | op1(e12,e11) = e13
      | op1(e13,e11) = e13 )
    & ( op1(e12,e10) = e10
      | op1(e12,e11) = e10
      | op1(e12,e12) = e10
      | op1(e12,e13) = e10 )
    & ( op1(e10,e12) = e10
      | op1(e11,e12) = e10
      | op1(e12,e12) = e10
      | op1(e13,e12) = e10 )
    & ( op1(e12,e10) = e11
      | op1(e12,e11) = e11
      | op1(e12,e12) = e11
      | op1(e12,e13) = e11 )
    & ( op1(e10,e12) = e11
      | op1(e11,e12) = e11
      | op1(e12,e12) = e11
      | op1(e13,e12) = e11 )
    & ( op1(e12,e10) = e12
      | op1(e12,e11) = e12
      | op1(e12,e12) = e12
      | op1(e12,e13) = e12 )
    & ( op1(e10,e12) = e12
      | op1(e11,e12) = e12
      | op1(e12,e12) = e12
      | op1(e13,e12) = e12 )
    & ( op1(e12,e10) = e13
      | op1(e12,e11) = e13
      | op1(e12,e12) = e13
      | op1(e12,e13) = e13 )
    & ( op1(e10,e12) = e13
      | op1(e11,e12) = e13
      | op1(e12,e12) = e13
      | op1(e13,e12) = e13 )
    & ( op1(e13,e10) = e10
      | op1(e13,e11) = e10
      | op1(e13,e12) = e10
      | op1(e13,e13) = e10 )
    & ( op1(e10,e13) = e10
      | op1(e11,e13) = e10
      | op1(e12,e13) = e10
      | op1(e13,e13) = e10 )
    & ( op1(e13,e10) = e11
      | op1(e13,e11) = e11
      | op1(e13,e12) = e11
      | op1(e13,e13) = e11 )
    & ( op1(e10,e13) = e11
      | op1(e11,e13) = e11
      | op1(e12,e13) = e11
      | op1(e13,e13) = e11 )
    & ( op1(e13,e10) = e12
      | op1(e13,e11) = e12
      | op1(e13,e12) = e12
      | op1(e13,e13) = e12 )
    & ( op1(e10,e13) = e12
      | op1(e11,e13) = e12
      | op1(e12,e13) = e12
      | op1(e13,e13) = e12 )
    & ( op1(e13,e10) = e13
      | op1(e13,e11) = e13
      | op1(e13,e12) = e13
      | op1(e13,e13) = e13 )
    & ( op1(e10,e13) = e13
      | op1(e11,e13) = e13
      | op1(e12,e13) = e13
      | op1(e13,e13) = e13 ) ),
    input ).

fof('ax14_$sk',plain,
    ( e13 = op1(e11,e11)
    & e12 = op1(e11,op1(e11,e11))
    & e10 = op1(e11,op1(e11,op1(e11,e11))) ),
    inference(negpush_and_skolemize,[],[ax14]) ).

fof(ax14,axiom,
    ( e10 = op1(e11,op1(e11,op1(e11,e11)))
    & e12 = op1(e11,op1(e11,e11))
    & e13 = op1(e11,e11) ),
    input ).

fof('ax9_$sk',plain,
    ( e12 != e13
    & e11 != e13
    & e11 != e12
    & e10 != e13
    & e10 != e12
    & e10 != e11 ),
    inference(negpush_and_skolemize,[],[ax9]) ).

fof(ax9,axiom,
    ( e10 != e11
    & e10 != e12
    & e10 != e13
    & e11 != e12
    & e11 != e13
    & e12 != e13 ),
    input ).

fof('ax2_$sk',plain,
    ( ( unit1 = e13
      | unit1 = e12
      | unit1 = e11
      | unit1 = e10 )
    & op1(e13,unit1) = e13
    & op1(unit1,e13) = e13
    & op1(e12,unit1) = e12
    & op1(unit1,e12) = e12
    & op1(e11,unit1) = e11
    & op1(unit1,e11) = e11
    & op1(e10,unit1) = e10
    & op1(unit1,e10) = e10 ),
    inference(negpush_and_skolemize,[],[ax2]) ).

fof(ax2,axiom,
    ( op1(unit1,e10) = e10
    & op1(e10,unit1) = e10
    & op1(unit1,e11) = e11
    & op1(e11,unit1) = e11
    & op1(unit1,e12) = e12
    & op1(e12,unit1) = e12
    & op1(unit1,e13) = e13
    & op1(e13,unit1) = e13
    & ( unit1 = e10
      | unit1 = e11
      | unit1 = e12
      | unit1 = e13 ) ),
    input ).

fof('ax7_$sk',plain,
    ( op1(e13,e12) != op1(e13,e13)
    & op1(e13,e11) != op1(e13,e13)
    & op1(e13,e11) != op1(e13,e12)
    & op1(e13,e10) != op1(e13,e13)
    & op1(e13,e10) != op1(e13,e12)
    & op1(e13,e10) != op1(e13,e11)
    & op1(e12,e12) != op1(e12,e13)
    & op1(e12,e11) != op1(e12,e13)
    & op1(e12,e11) != op1(e12,e12)
    & op1(e12,e10) != op1(e12,e13)
    & op1(e12,e10) != op1(e12,e12)
    & op1(e12,e10) != op1(e12,e11)
    & op1(e11,e12) != op1(e11,e13)
    & op1(e11,e11) != op1(e11,e13)
    & op1(e11,e11) != op1(e11,e12)
    & op1(e11,e10) != op1(e11,e13)
    & op1(e11,e10) != op1(e11,e12)
    & op1(e11,e10) != op1(e11,e11)
    & op1(e10,e12) != op1(e10,e13)
    & op1(e10,e11) != op1(e10,e13)
    & op1(e10,e11) != op1(e10,e12)
    & op1(e10,e10) != op1(e10,e13)
    & op1(e10,e10) != op1(e10,e12)
    & op1(e10,e10) != op1(e10,e11)
    & op1(e12,e13) != op1(e13,e13)
    & op1(e11,e13) != op1(e13,e13)
    & op1(e11,e13) != op1(e12,e13)
    & op1(e10,e13) != op1(e13,e13)
    & op1(e10,e13) != op1(e12,e13)
    & op1(e10,e13) != op1(e11,e13)
    & op1(e12,e12) != op1(e13,e12)
    & op1(e11,e12) != op1(e13,e12)
    & op1(e11,e12) != op1(e12,e12)
    & op1(e10,e12) != op1(e13,e12)
    & op1(e10,e12) != op1(e12,e12)
    & op1(e10,e12) != op1(e11,e12)
    & op1(e12,e11) != op1(e13,e11)
    & op1(e11,e11) != op1(e13,e11)
    & op1(e11,e11) != op1(e12,e11)
    & op1(e10,e11) != op1(e13,e11)
    & op1(e10,e11) != op1(e12,e11)
    & op1(e10,e11) != op1(e11,e11)
    & op1(e12,e10) != op1(e13,e10)
    & op1(e11,e10) != op1(e13,e10)
    & op1(e11,e10) != op1(e12,e10)
    & op1(e10,e10) != op1(e13,e10)
    & op1(e10,e10) != op1(e12,e10)
    & op1(e10,e10) != op1(e11,e10) ),
    inference(negpush_and_skolemize,[],[ax7]) ).

fof(ax7,axiom,
    ( op1(e10,e10) != op1(e11,e10)
    & op1(e10,e10) != op1(e12,e10)
    & op1(e10,e10) != op1(e13,e10)
    & op1(e11,e10) != op1(e12,e10)
    & op1(e11,e10) != op1(e13,e10)
    & op1(e12,e10) != op1(e13,e10)
    & op1(e10,e11) != op1(e11,e11)
    & op1(e10,e11) != op1(e12,e11)
    & op1(e10,e11) != op1(e13,e11)
    & op1(e11,e11) != op1(e12,e11)
    & op1(e11,e11) != op1(e13,e11)
    & op1(e12,e11) != op1(e13,e11)
    & op1(e10,e12) != op1(e11,e12)
    & op1(e10,e12) != op1(e12,e12)
    & op1(e10,e12) != op1(e13,e12)
    & op1(e11,e12) != op1(e12,e12)
    & op1(e11,e12) != op1(e13,e12)
    & op1(e12,e12) != op1(e13,e12)
    & op1(e10,e13) != op1(e11,e13)
    & op1(e10,e13) != op1(e12,e13)
    & op1(e10,e13) != op1(e13,e13)
    & op1(e11,e13) != op1(e12,e13)
    & op1(e11,e13) != op1(e13,e13)
    & op1(e12,e13) != op1(e13,e13)
    & op1(e10,e10) != op1(e10,e11)
    & op1(e10,e10) != op1(e10,e12)
    & op1(e10,e10) != op1(e10,e13)
    & op1(e10,e11) != op1(e10,e12)
    & op1(e10,e11) != op1(e10,e13)
    & op1(e10,e12) != op1(e10,e13)
    & op1(e11,e10) != op1(e11,e11)
    & op1(e11,e10) != op1(e11,e12)
    & op1(e11,e10) != op1(e11,e13)
    & op1(e11,e11) != op1(e11,e12)
    & op1(e11,e11) != op1(e11,e13)
    & op1(e11,e12) != op1(e11,e13)
    & op1(e12,e10) != op1(e12,e11)
    & op1(e12,e10) != op1(e12,e12)
    & op1(e12,e10) != op1(e12,e13)
    & op1(e12,e11) != op1(e12,e12)
    & op1(e12,e11) != op1(e12,e13)
    & op1(e12,e12) != op1(e12,e13)
    & op1(e13,e10) != op1(e13,e11)
    & op1(e13,e10) != op1(e13,e12)
    & op1(e13,e10) != op1(e13,e13)
    & op1(e13,e11) != op1(e13,e12)
    & op1(e13,e11) != op1(e13,e13)
    & op1(e13,e12) != op1(e13,e13) ),
    input ).

fof('ax6_$sk',plain,
    ( ( op2(e23,e23) = e23
      | op2(e22,e23) = e23
      | op2(e21,e23) = e23
      | op2(e20,e23) = e23 )
    & ( op2(e23,e23) = e23
      | op2(e23,e22) = e23
      | op2(e23,e21) = e23
      | op2(e23,e20) = e23 )
    & ( op2(e23,e23) = e22
      | op2(e22,e23) = e22
      | op2(e21,e23) = e22
      | op2(e20,e23) = e22 )
    & ( op2(e23,e23) = e22
      | op2(e23,e22) = e22
      | op2(e23,e21) = e22
      | op2(e23,e20) = e22 )
    & ( op2(e23,e23) = e21
      | op2(e22,e23) = e21
      | op2(e21,e23) = e21
      | op2(e20,e23) = e21 )
    & ( op2(e23,e23) = e21
      | op2(e23,e22) = e21
      | op2(e23,e21) = e21
      | op2(e23,e20) = e21 )
    & ( op2(e23,e23) = e20
      | op2(e22,e23) = e20
      | op2(e21,e23) = e20
      | op2(e20,e23) = e20 )
    & ( op2(e23,e23) = e20
      | op2(e23,e22) = e20
      | op2(e23,e21) = e20
      | op2(e23,e20) = e20 )
    & ( op2(e23,e22) = e23
      | op2(e22,e22) = e23
      | op2(e21,e22) = e23
      | op2(e20,e22) = e23 )
    & ( op2(e22,e23) = e23
      | op2(e22,e22) = e23
      | op2(e22,e21) = e23
      | op2(e22,e20) = e23 )
    & ( op2(e23,e22) = e22
      | op2(e22,e22) = e22
      | op2(e21,e22) = e22
      | op2(e20,e22) = e22 )
    & ( op2(e22,e23) = e22
      | op2(e22,e22) = e22
      | op2(e22,e21) = e22
      | op2(e22,e20) = e22 )
    & ( op2(e23,e22) = e21
      | op2(e22,e22) = e21
      | op2(e21,e22) = e21
      | op2(e20,e22) = e21 )
    & ( op2(e22,e23) = e21
      | op2(e22,e22) = e21
      | op2(e22,e21) = e21
      | op2(e22,e20) = e21 )
    & ( op2(e23,e22) = e20
      | op2(e22,e22) = e20
      | op2(e21,e22) = e20
      | op2(e20,e22) = e20 )
    & ( op2(e22,e23) = e20
      | op2(e22,e22) = e20
      | op2(e22,e21) = e20
      | op2(e22,e20) = e20 )
    & ( op2(e23,e21) = e23
      | op2(e22,e21) = e23
      | op2(e21,e21) = e23
      | op2(e20,e21) = e23 )
    & ( op2(e21,e23) = e23
      | op2(e21,e22) = e23
      | op2(e21,e21) = e23
      | op2(e21,e20) = e23 )
    & ( op2(e23,e21) = e22
      | op2(e22,e21) = e22
      | op2(e21,e21) = e22
      | op2(e20,e21) = e22 )
    & ( op2(e21,e23) = e22
      | op2(e21,e22) = e22
      | op2(e21,e21) = e22
      | op2(e21,e20) = e22 )
    & ( op2(e23,e21) = e21
      | op2(e22,e21) = e21
      | op2(e21,e21) = e21
      | op2(e20,e21) = e21 )
    & ( op2(e21,e23) = e21
      | op2(e21,e22) = e21
      | op2(e21,e21) = e21
      | op2(e21,e20) = e21 )
    & ( op2(e23,e21) = e20
      | op2(e22,e21) = e20
      | op2(e21,e21) = e20
      | op2(e20,e21) = e20 )
    & ( op2(e21,e23) = e20
      | op2(e21,e22) = e20
      | op2(e21,e21) = e20
      | op2(e21,e20) = e20 )
    & ( op2(e23,e20) = e23
      | op2(e22,e20) = e23
      | op2(e21,e20) = e23
      | op2(e20,e20) = e23 )
    & ( op2(e20,e23) = e23
      | op2(e20,e22) = e23
      | op2(e20,e21) = e23
      | op2(e20,e20) = e23 )
    & ( op2(e23,e20) = e22
      | op2(e22,e20) = e22
      | op2(e21,e20) = e22
      | op2(e20,e20) = e22 )
    & ( op2(e20,e23) = e22
      | op2(e20,e22) = e22
      | op2(e20,e21) = e22
      | op2(e20,e20) = e22 )
    & ( op2(e23,e20) = e21
      | op2(e22,e20) = e21
      | op2(e21,e20) = e21
      | op2(e20,e20) = e21 )
    & ( op2(e20,e23) = e21
      | op2(e20,e22) = e21
      | op2(e20,e21) = e21
      | op2(e20,e20) = e21 )
    & ( op2(e23,e20) = e20
      | op2(e22,e20) = e20
      | op2(e21,e20) = e20
      | op2(e20,e20) = e20 )
    & ( op2(e20,e23) = e20
      | op2(e20,e22) = e20
      | op2(e20,e21) = e20
      | op2(e20,e20) = e20 ) ),
    inference(negpush_and_skolemize,[],[ax6]) ).

fof(ax6,axiom,
    ( ( op2(e20,e20) = e20
      | op2(e20,e21) = e20
      | op2(e20,e22) = e20
      | op2(e20,e23) = e20 )
    & ( op2(e20,e20) = e20
      | op2(e21,e20) = e20
      | op2(e22,e20) = e20
      | op2(e23,e20) = e20 )
    & ( op2(e20,e20) = e21
      | op2(e20,e21) = e21
      | op2(e20,e22) = e21
      | op2(e20,e23) = e21 )
    & ( op2(e20,e20) = e21
      | op2(e21,e20) = e21
      | op2(e22,e20) = e21
      | op2(e23,e20) = e21 )
    & ( op2(e20,e20) = e22
      | op2(e20,e21) = e22
      | op2(e20,e22) = e22
      | op2(e20,e23) = e22 )
    & ( op2(e20,e20) = e22
      | op2(e21,e20) = e22
      | op2(e22,e20) = e22
      | op2(e23,e20) = e22 )
    & ( op2(e20,e20) = e23
      | op2(e20,e21) = e23
      | op2(e20,e22) = e23
      | op2(e20,e23) = e23 )
    & ( op2(e20,e20) = e23
      | op2(e21,e20) = e23
      | op2(e22,e20) = e23
      | op2(e23,e20) = e23 )
    & ( op2(e21,e20) = e20
      | op2(e21,e21) = e20
      | op2(e21,e22) = e20
      | op2(e21,e23) = e20 )
    & ( op2(e20,e21) = e20
      | op2(e21,e21) = e20
      | op2(e22,e21) = e20
      | op2(e23,e21) = e20 )
    & ( op2(e21,e20) = e21
      | op2(e21,e21) = e21
      | op2(e21,e22) = e21
      | op2(e21,e23) = e21 )
    & ( op2(e20,e21) = e21
      | op2(e21,e21) = e21
      | op2(e22,e21) = e21
      | op2(e23,e21) = e21 )
    & ( op2(e21,e20) = e22
      | op2(e21,e21) = e22
      | op2(e21,e22) = e22
      | op2(e21,e23) = e22 )
    & ( op2(e20,e21) = e22
      | op2(e21,e21) = e22
      | op2(e22,e21) = e22
      | op2(e23,e21) = e22 )
    & ( op2(e21,e20) = e23
      | op2(e21,e21) = e23
      | op2(e21,e22) = e23
      | op2(e21,e23) = e23 )
    & ( op2(e20,e21) = e23
      | op2(e21,e21) = e23
      | op2(e22,e21) = e23
      | op2(e23,e21) = e23 )
    & ( op2(e22,e20) = e20
      | op2(e22,e21) = e20
      | op2(e22,e22) = e20
      | op2(e22,e23) = e20 )
    & ( op2(e20,e22) = e20
      | op2(e21,e22) = e20
      | op2(e22,e22) = e20
      | op2(e23,e22) = e20 )
    & ( op2(e22,e20) = e21
      | op2(e22,e21) = e21
      | op2(e22,e22) = e21
      | op2(e22,e23) = e21 )
    & ( op2(e20,e22) = e21
      | op2(e21,e22) = e21
      | op2(e22,e22) = e21
      | op2(e23,e22) = e21 )
    & ( op2(e22,e20) = e22
      | op2(e22,e21) = e22
      | op2(e22,e22) = e22
      | op2(e22,e23) = e22 )
    & ( op2(e20,e22) = e22
      | op2(e21,e22) = e22
      | op2(e22,e22) = e22
      | op2(e23,e22) = e22 )
    & ( op2(e22,e20) = e23
      | op2(e22,e21) = e23
      | op2(e22,e22) = e23
      | op2(e22,e23) = e23 )
    & ( op2(e20,e22) = e23
      | op2(e21,e22) = e23
      | op2(e22,e22) = e23
      | op2(e23,e22) = e23 )
    & ( op2(e23,e20) = e20
      | op2(e23,e21) = e20
      | op2(e23,e22) = e20
      | op2(e23,e23) = e20 )
    & ( op2(e20,e23) = e20
      | op2(e21,e23) = e20
      | op2(e22,e23) = e20
      | op2(e23,e23) = e20 )
    & ( op2(e23,e20) = e21
      | op2(e23,e21) = e21
      | op2(e23,e22) = e21
      | op2(e23,e23) = e21 )
    & ( op2(e20,e23) = e21
      | op2(e21,e23) = e21
      | op2(e22,e23) = e21
      | op2(e23,e23) = e21 )
    & ( op2(e23,e20) = e22
      | op2(e23,e21) = e22
      | op2(e23,e22) = e22
      | op2(e23,e23) = e22 )
    & ( op2(e20,e23) = e22
      | op2(e21,e23) = e22
      | op2(e22,e23) = e22
      | op2(e23,e23) = e22 )
    & ( op2(e23,e20) = e23
      | op2(e23,e21) = e23
      | op2(e23,e22) = e23
      | op2(e23,e23) = e23 )
    & ( op2(e20,e23) = e23
      | op2(e21,e23) = e23
      | op2(e22,e23) = e23
      | op2(e23,e23) = e23 ) ),
    input ).

fof('ax5_$sk',plain,
    ( ( unit2 = e23
      | unit2 = e22
      | unit2 = e21
      | unit2 = e20 )
    & op2(e23,unit2) = e23
    & op2(unit2,e23) = e23
    & op2(e22,unit2) = e22
    & op2(unit2,e22) = e22
    & op2(e21,unit2) = e21
    & op2(unit2,e21) = e21
    & op2(e20,unit2) = e20
    & op2(unit2,e20) = e20 ),
    inference(negpush_and_skolemize,[],[ax5]) ).

fof(ax5,axiom,
    ( op2(unit2,e20) = e20
    & op2(e20,unit2) = e20
    & op2(unit2,e21) = e21
    & op2(e21,unit2) = e21
    & op2(unit2,e22) = e22
    & op2(e22,unit2) = e22
    & op2(unit2,e23) = e23
    & op2(e23,unit2) = e23
    & ( unit2 = e20
      | unit2 = e21
      | unit2 = e22
      | unit2 = e23 ) ),
    input ).

fof('ax8_$sk',plain,
    ( op2(e23,e22) != op2(e23,e23)
    & op2(e23,e21) != op2(e23,e23)
    & op2(e23,e21) != op2(e23,e22)
    & op2(e23,e20) != op2(e23,e23)
    & op2(e23,e20) != op2(e23,e22)
    & op2(e23,e20) != op2(e23,e21)
    & op2(e22,e22) != op2(e22,e23)
    & op2(e22,e21) != op2(e22,e23)
    & op2(e22,e21) != op2(e22,e22)
    & op2(e22,e20) != op2(e22,e23)
    & op2(e22,e20) != op2(e22,e22)
    & op2(e22,e20) != op2(e22,e21)
    & op2(e21,e22) != op2(e21,e23)
    & op2(e21,e21) != op2(e21,e23)
    & op2(e21,e21) != op2(e21,e22)
    & op2(e21,e20) != op2(e21,e23)
    & op2(e21,e20) != op2(e21,e22)
    & op2(e21,e20) != op2(e21,e21)
    & op2(e20,e22) != op2(e20,e23)
    & op2(e20,e21) != op2(e20,e23)
    & op2(e20,e21) != op2(e20,e22)
    & op2(e20,e20) != op2(e20,e23)
    & op2(e20,e20) != op2(e20,e22)
    & op2(e20,e20) != op2(e20,e21)
    & op2(e22,e23) != op2(e23,e23)
    & op2(e21,e23) != op2(e23,e23)
    & op2(e21,e23) != op2(e22,e23)
    & op2(e20,e23) != op2(e23,e23)
    & op2(e20,e23) != op2(e22,e23)
    & op2(e20,e23) != op2(e21,e23)
    & op2(e22,e22) != op2(e23,e22)
    & op2(e21,e22) != op2(e23,e22)
    & op2(e21,e22) != op2(e22,e22)
    & op2(e20,e22) != op2(e23,e22)
    & op2(e20,e22) != op2(e22,e22)
    & op2(e20,e22) != op2(e21,e22)
    & op2(e22,e21) != op2(e23,e21)
    & op2(e21,e21) != op2(e23,e21)
    & op2(e21,e21) != op2(e22,e21)
    & op2(e20,e21) != op2(e23,e21)
    & op2(e20,e21) != op2(e22,e21)
    & op2(e20,e21) != op2(e21,e21)
    & op2(e22,e20) != op2(e23,e20)
    & op2(e21,e20) != op2(e23,e20)
    & op2(e21,e20) != op2(e22,e20)
    & op2(e20,e20) != op2(e23,e20)
    & op2(e20,e20) != op2(e22,e20)
    & op2(e20,e20) != op2(e21,e20) ),
    inference(negpush_and_skolemize,[],[ax8]) ).

fof(ax8,axiom,
    ( op2(e20,e20) != op2(e21,e20)
    & op2(e20,e20) != op2(e22,e20)
    & op2(e20,e20) != op2(e23,e20)
    & op2(e21,e20) != op2(e22,e20)
    & op2(e21,e20) != op2(e23,e20)
    & op2(e22,e20) != op2(e23,e20)
    & op2(e20,e21) != op2(e21,e21)
    & op2(e20,e21) != op2(e22,e21)
    & op2(e20,e21) != op2(e23,e21)
    & op2(e21,e21) != op2(e22,e21)
    & op2(e21,e21) != op2(e23,e21)
    & op2(e22,e21) != op2(e23,e21)
    & op2(e20,e22) != op2(e21,e22)
    & op2(e20,e22) != op2(e22,e22)
    & op2(e20,e22) != op2(e23,e22)
    & op2(e21,e22) != op2(e22,e22)
    & op2(e21,e22) != op2(e23,e22)
    & op2(e22,e22) != op2(e23,e22)
    & op2(e20,e23) != op2(e21,e23)
    & op2(e20,e23) != op2(e22,e23)
    & op2(e20,e23) != op2(e23,e23)
    & op2(e21,e23) != op2(e22,e23)
    & op2(e21,e23) != op2(e23,e23)
    & op2(e22,e23) != op2(e23,e23)
    & op2(e20,e20) != op2(e20,e21)
    & op2(e20,e20) != op2(e20,e22)
    & op2(e20,e20) != op2(e20,e23)
    & op2(e20,e21) != op2(e20,e22)
    & op2(e20,e21) != op2(e20,e23)
    & op2(e20,e22) != op2(e20,e23)
    & op2(e21,e20) != op2(e21,e21)
    & op2(e21,e20) != op2(e21,e22)
    & op2(e21,e20) != op2(e21,e23)
    & op2(e21,e21) != op2(e21,e22)
    & op2(e21,e21) != op2(e21,e23)
    & op2(e21,e22) != op2(e21,e23)
    & op2(e22,e20) != op2(e22,e21)
    & op2(e22,e20) != op2(e22,e22)
    & op2(e22,e20) != op2(e22,e23)
    & op2(e22,e21) != op2(e22,e22)
    & op2(e22,e21) != op2(e22,e23)
    & op2(e22,e22) != op2(e22,e23)
    & op2(e23,e20) != op2(e23,e21)
    & op2(e23,e20) != op2(e23,e22)
    & op2(e23,e20) != op2(e23,e23)
    & op2(e23,e21) != op2(e23,e22)
    & op2(e23,e21) != op2(e23,e23)
    & op2(e23,e22) != op2(e23,e23) ),
    input ).

fof('ax15_$sk',plain,
    ( e23 = op2(e21,e21)
    & e22 = op2(e21,op2(e21,e21))
    & e20 = op2(e21,op2(e21,op2(e21,e21))) ),
    inference(negpush_and_skolemize,[],[ax15]) ).

fof(ax15,axiom,
    ( e20 = op2(e21,op2(e21,op2(e21,e21)))
    & e22 = op2(e21,op2(e21,e21))
    & e23 = op2(e21,e21) ),
    input ).

fof('ax17_$sk',plain,
    ( h2(e13) = op2(e21,e21)
    & h2(e12) = op2(e21,op2(e21,e21))
    & h2(e10) = op2(e21,op2(e21,op2(e21,e21)))
    & h2(e11) = e21 ),
    inference(negpush_and_skolemize,[],[ax17]) ).

fof(ax17,axiom,
    ( h2(e11) = e21
    & h2(e10) = op2(e21,op2(e21,op2(e21,e21)))
    & h2(e12) = op2(e21,op2(e21,e21))
    & h2(e13) = op2(e21,e21) ),
    input ).

fof('ax10_$sk',plain,
    ( e22 != e23
    & e21 != e23
    & e21 != e22
    & e20 != e23
    & e20 != e22
    & e20 != e21 ),
    inference(negpush_and_skolemize,[],[ax10]) ).

fof(ax10,axiom,
    ( e20 != e21
    & e20 != e22
    & e20 != e23
    & e21 != e22
    & e21 != e23
    & e22 != e23 ),
    input ).

fof('co1_$sk',plain,
    ( ( ( h4(e13) != e23
        & h4(e12) != e23
        & h4(e11) != e23
        & h4(e10) != e23 )
      | ( h4(e13) != e22
        & h4(e12) != e22
        & h4(e11) != e22
        & h4(e10) != e22 )
      | ( h4(e13) != e21
        & h4(e12) != e21
        & h4(e11) != e21
        & h4(e10) != e21 )
      | ( h4(e13) != e20
        & h4(e12) != e20
        & h4(e11) != e20
        & h4(e10) != e20 )
      | h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
      | h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
      | h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
      | h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
      | h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
      | h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
      | h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
      | h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
      | h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
      | h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
      | h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
      | h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
      | h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
      | h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
      | h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
      | h4(op1(e10,e10)) != op2(h4(e10),h4(e10)) )
    & ( ( h3(e13) != e23
        & h3(e12) != e23
        & h3(e11) != e23
        & h3(e10) != e23 )
      | ( h3(e13) != e22
        & h3(e12) != e22
        & h3(e11) != e22
        & h3(e10) != e22 )
      | ( h3(e13) != e21
        & h3(e12) != e21
        & h3(e11) != e21
        & h3(e10) != e21 )
      | ( h3(e13) != e20
        & h3(e12) != e20
        & h3(e11) != e20
        & h3(e10) != e20 )
      | h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
      | h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
      | h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
      | h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
      | h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
      | h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
      | h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
      | h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
      | h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
      | h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
      | h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
      | h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
      | h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
      | h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
      | h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
      | h3(op1(e10,e10)) != op2(h3(e10),h3(e10)) )
    & ( ( h2(e13) != e23
        & h2(e12) != e23
        & h2(e11) != e23
        & h2(e10) != e23 )
      | ( h2(e13) != e22
        & h2(e12) != e22
        & h2(e11) != e22
        & h2(e10) != e22 )
      | ( h2(e13) != e21
        & h2(e12) != e21
        & h2(e11) != e21
        & h2(e10) != e21 )
      | ( h2(e13) != e20
        & h2(e12) != e20
        & h2(e11) != e20
        & h2(e10) != e20 )
      | h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
      | h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
      | h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
      | h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
      | h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
      | h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
      | h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
      | h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
      | h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
      | h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
      | h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
      | h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
      | h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
      | h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
      | h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
      | h2(op1(e10,e10)) != op2(h2(e10),h2(e10)) )
    & ( ( h1(e13) != e23
        & h1(e12) != e23
        & h1(e11) != e23
        & h1(e10) != e23 )
      | ( h1(e13) != e22
        & h1(e12) != e22
        & h1(e11) != e22
        & h1(e10) != e22 )
      | ( h1(e13) != e21
        & h1(e12) != e21
        & h1(e11) != e21
        & h1(e10) != e21 )
      | ( h1(e13) != e20
        & h1(e12) != e20
        & h1(e11) != e20
        & h1(e10) != e20 )
      | h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
      | h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
      | h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
      | h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
      | h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
      | h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
      | h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
      | h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
      | h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
      | h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
      | h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
      | h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
      | h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
      | h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
      | h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
      | h1(op1(e10,e10)) != op2(h1(e10),h1(e10)) ) ),
    inference(negpush_and_skolemize,[],[co1]) ).

fof(co1,conjecture,
    ( ( h1(op1(e10,e10)) = op2(h1(e10),h1(e10))
      & h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
      & h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
      & h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
      & h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
      & h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
      & h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
      & h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
      & h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
      & h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
      & h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
      & h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
      & h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
      & h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
      & h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
      & h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
      & ( h1(e10) = e20
        | h1(e11) = e20
        | h1(e12) = e20
        | h1(e13) = e20 )
      & ( h1(e10) = e21
        | h1(e11) = e21
        | h1(e12) = e21
        | h1(e13) = e21 )
      & ( h1(e10) = e22
        | h1(e11) = e22
        | h1(e12) = e22
        | h1(e13) = e22 )
      & ( h1(e10) = e23
        | h1(e11) = e23
        | h1(e12) = e23
        | h1(e13) = e23 ) )
    | ( h2(op1(e10,e10)) = op2(h2(e10),h2(e10))
      & h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
      & h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
      & h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
      & h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
      & h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
      & h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
      & h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
      & h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
      & h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
      & h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
      & h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
      & h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
      & h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
      & h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
      & h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
      & ( h2(e10) = e20
        | h2(e11) = e20
        | h2(e12) = e20
        | h2(e13) = e20 )
      & ( h2(e10) = e21
        | h2(e11) = e21
        | h2(e12) = e21
        | h2(e13) = e21 )
      & ( h2(e10) = e22
        | h2(e11) = e22
        | h2(e12) = e22
        | h2(e13) = e22 )
      & ( h2(e10) = e23
        | h2(e11) = e23
        | h2(e12) = e23
        | h2(e13) = e23 ) )
    | ( h3(op1(e10,e10)) = op2(h3(e10),h3(e10))
      & h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
      & h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
      & h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
      & h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
      & h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
      & h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
      & h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
      & h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
      & h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
      & h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
      & h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
      & h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
      & h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
      & h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
      & h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
      & ( h3(e10) = e20
        | h3(e11) = e20
        | h3(e12) = e20
        | h3(e13) = e20 )
      & ( h3(e10) = e21
        | h3(e11) = e21
        | h3(e12) = e21
        | h3(e13) = e21 )
      & ( h3(e10) = e22
        | h3(e11) = e22
        | h3(e12) = e22
        | h3(e13) = e22 )
      & ( h3(e10) = e23
        | h3(e11) = e23
        | h3(e12) = e23
        | h3(e13) = e23 ) )
    | ( h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
      & h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
      & h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
      & h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
      & h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
      & h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
      & h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
      & h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
      & h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
      & h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
      & h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
      & h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
      & h4(op1(e13,e10)) = op2(h4(e13),h4(e10))
      & h4(op1(e13,e11)) = op2(h4(e13),h4(e11))
      & h4(op1(e13,e12)) = op2(h4(e13),h4(e12))
      & h4(op1(e13,e13)) = op2(h4(e13),h4(e13))
      & ( h4(e10) = e20
        | h4(e11) = e20
        | h4(e12) = e20
        | h4(e13) = e20 )
      & ( h4(e10) = e21
        | h4(e11) = e21
        | h4(e12) = e21
        | h4(e13) = e21 )
      & ( h4(e10) = e22
        | h4(e11) = e22
        | h4(e12) = e22
        | h4(e13) = e22 )
      & ( h4(e10) = e23
        | h4(e11) = e23
        | h4(e12) = e23
        | h4(e13) = e23 ) ) ),
    input ).

fof('ax16_$sk',plain,
    ( h1(e13) = op2(e20,e20)
    & h1(e12) = op2(e20,op2(e20,e20))
    & h1(e10) = op2(e20,op2(e20,op2(e20,e20)))
    & h1(e11) = e20 ),
    inference(negpush_and_skolemize,[],[ax16]) ).

fof(ax16,axiom,
    ( h1(e11) = e20
    & h1(e10) = op2(e20,op2(e20,op2(e20,e20)))
    & h1(e12) = op2(e20,op2(e20,e20))
    & h1(e13) = op2(e20,e20) ),
    input ).

fof('ax18_$sk',plain,
    ( h3(e13) = op2(e22,e22)
    & h3(e12) = op2(e22,op2(e22,e22))
    & h3(e10) = op2(e22,op2(e22,op2(e22,e22)))
    & h3(e11) = e22 ),
    inference(negpush_and_skolemize,[],[ax18]) ).

fof(ax18,axiom,
    ( h3(e11) = e22
    & h3(e10) = op2(e22,op2(e22,op2(e22,e22)))
    & h3(e12) = op2(e22,op2(e22,e22))
    & h3(e13) = op2(e22,e22) ),
    input ).

fof('ax19_$sk',plain,
    ( h4(e13) = op2(e23,e23)
    & h4(e12) = op2(e23,op2(e23,e23))
    & h4(e10) = op2(e23,op2(e23,op2(e23,e23)))
    & h4(e11) = e23 ),
    inference(negpush_and_skolemize,[],[ax19]) ).

fof(ax19,axiom,
    ( h4(e11) = e23
    & h4(e10) = op2(e23,op2(e23,op2(e23,e23)))
    & h4(e12) = op2(e23,op2(e23,e23))
    & h4(e13) = op2(e23,e23) ),
    input ).

cnf('1',plain,
    ( op1(e13,e11) = e10
    | op1(e13,e11) = e11
    | op1(e13,e11) = e12
    | op1(e13,e11) = e13 ),
    inference(cnf_transformation,[],['ax1_$sk']) ).

cnf('2',plain,
    ( op1(e10,e13) = e11
    | op1(e11,e13) = e11
    | op1(e12,e13) = e11
    | op1(e13,e13) = e11 ),
    inference(cnf_transformation,[],['ax3_$sk']) ).

cnf('3',plain,
    e12 = op1(e11,op1(e11,e11)),
    inference(cnf_transformation,[],['ax14_$sk']) ).

cnf('4',plain,
    e13 = op1(e11,e11),
    inference(cnf_transformation,[],['ax14_$sk']) ).

cnf('5',plain,
    e12 = op1(e11,e13),
    inference(simplify,[],['3','4']) ).

cnf('6',plain,
    ( op1(e10,e13) = e11
    | e12 = e11
    | op1(e12,e13) = e11
    | op1(e13,e13) = e11 ),
    inference(simplify,[],['2','5']) ).

cnf('7',plain,
    ( op1(e10,e12) = e11
    | op1(e11,e12) = e11
    | op1(e12,e12) = e11
    | op1(e13,e12) = e11 ),
    inference(cnf_transformation,[],['ax3_$sk']) ).

cnf('8',plain,
    e10 != e11,
    inference(cnf_transformation,[],['ax9_$sk']) ).

cnf('9',plain,
    e10 = op1(e11,op1(e11,op1(e11,e11))),
    inference(cnf_transformation,[],['ax14_$sk']) ).

cnf('10',plain,
    e10 = op1(e11,e12),
    inference(simplify,[then_simplify],['9','4','5']) ).

cnf('11',plain,
    ( op1(e10,e12) = e11
    | op1(e12,e12) = e11
    | op1(e13,e12) = e11 ),
    inference(simplify,[then_simplify],['7','8','10']) ).

cnf('12',plain,
    ( op1(e10,e12) = e13
    | op1(e11,e12) = e13
    | op1(e12,e12) = e13
    | op1(e13,e12) = e13 ),
    inference(cnf_transformation,[],['ax3_$sk']) ).

cnf('13',plain,
    e10 != e13,
    inference(cnf_transformation,[],['ax9_$sk']) ).

cnf('14',plain,
    ( op1(e10,e12) = e13
    | op1(e12,e12) = e13
    | op1(e13,e12) = e13 ),
    inference(simplify,[then_simplify],['12','13','10']) ).

cnf('15',plain,
    ( unit1 = e10
    | unit1 = e11
    | unit1 = e12
    | unit1 = e13 ),
    inference(cnf_transformation,[],['ax2_$sk']) ).

cnf('16',plain,
    op1(e11,e10) != op1(e11,e12),
    inference(cnf_transformation,[],['ax7_$sk']) ).

cnf('17',plain,
    op1(e11,e10) != e10,
    inference(simplify,[],['16','10']) ).

cnf('18',plain,
    op1(unit1,e10) = e10,
    inference(cnf_transformation,[],['ax2_$sk']) ).

cnf('19',plain,
    ( unit1 = e10
    | unit1 = e12
    | unit1 = e13 ),
    inference(paramodulation,[then_simplify],['15','17','18']) ).

cnf('20',plain,
    op1(e10,e12) != op1(e11,e12),
    inference(cnf_transformation,[],['ax7_$sk']) ).

cnf('21',plain,
    op1(e10,e12) != e10,
    inference(simplify,[],['20','10']) ).

cnf('22',plain,
    op1(e10,unit1) = e10,
    inference(cnf_transformation,[],['ax2_$sk']) ).

cnf('23',plain,
    ( unit1 = e10
    | unit1 = e13 ),
    inference(paramodulation,[then_simplify],['19','21','22']) ).

cnf('24',plain,
    op1(e11,e13) != op1(e12,e13),
    inference(cnf_transformation,[],['ax7_$sk']) ).

cnf('25',plain,
    e12 != op1(e12,e13),
    inference(simplify,[],['24','5']) ).

cnf('26',plain,
    ( e12 != op1(e12,unit1)
    | unit1 = e10 ),
    inference(paramodulation,[],['23','25']) ).

cnf('27',plain,
    op1(e12,unit1) = e12,
    inference(cnf_transformation,[],['ax2_$sk']) ).

cnf('28',plain,
    unit1 = e10,
    inference(simplify,[],['26','27']) ).

cnf('29',plain,
    op1(e13,e10) != op1(e13,e12),
    inference(cnf_transformation,[],['ax7_$sk']) ).

cnf('30',plain,
    op1(e13,unit1) != op1(e13,e12),
    inference(paramodulation,[],['28','29']) ).

cnf('31',plain,
    op1(e13,unit1) = e13,
    inference(cnf_transformation,[],['ax2_$sk']) ).

cnf('32',plain,
    e13 != op1(e13,e12),
    inference(simplify,[],['30','31']) ).

cnf('33',plain,
    ( op1(e10,e12) = e13
    | op1(e12,e12) = e13 ),
    inference(paramodulation,[],['14','32']) ).

cnf('34',plain,
    e12 != e13,
    inference(cnf_transformation,[],['ax9_$sk']) ).

cnf('35',plain,
    op1(unit1,e12) = e12,
    inference(cnf_transformation,[],['ax2_$sk']) ).

cnf('36',plain,
    op1(e12,e12) = e13,
    inference(simplify,[then_simplify],['33','34','28','35']) ).

cnf('37',plain,
    e11 != e13,
    inference(cnf_transformation,[],['ax9_$sk']) ).

cnf('38',plain,
    ( op1(e10,e12) = e11
    | op1(e13,e12) = e11 ),
    inference(paramodulation,[then_simplify],['11','36','37']) ).

cnf('39',plain,
    ( e12 = e11
    | op1(e13,e12) = e11 ),
    inference(simplify,[then_simplify],['38','28','35']) ).

cnf('40',plain,
    op1(e12,e11) != op1(e12,e12),
    inference(cnf_transformation,[],['ax7_$sk']) ).

cnf('41',plain,
    op1(e12,e11) != e13,
    inference(paramodulation,[],['36','40']) ).

cnf('42',plain,
    op1(e13,e12) = e11,
    inference(paramodulation,[then_simplify],['39','36','41']) ).

cnf('43',plain,
    op1(e13,e12) != op1(e13,e13),
    inference(cnf_transformation,[],['ax7_$sk']) ).

cnf('44',plain,
    e11 != op1(e13,e13),
    inference(paramodulation,[],['42','43']) ).

cnf('45',plain,
    op1(e10,e12) != op1(e13,e12),
    inference(cnf_transformation,[],['ax7_$sk']) ).

cnf('46',plain,
    op1(unit1,e12) != op1(e13,e12),
    inference(paramodulation,[],['28','45']) ).

cnf('47',plain,
    e12 != op1(e13,e12),
    inference(simplify,[],['46','35']) ).

cnf('48',plain,
    e12 != e11,
    inference(paramodulation,[],['42','47']) ).

cnf('49',plain,
    ( op1(e10,e13) = e11
    | op1(e12,e13) = e11 ),
    inference(paramodulation,[then_simplify],['6','44','48']) ).

cnf('50',plain,
    e13 != e11,
    inference(paramodulation,[],['42','32']) ).

cnf('51',plain,
    op1(unit1,e13) = e13,
    inference(cnf_transformation,[],['ax2_$sk']) ).

cnf('52',plain,
    op1(e12,e13) = e11,
    inference(simplify,[then_simplify],['49','50','28','51']) ).

cnf('53',plain,
    ( op1(e10,e13) = e10
    | op1(e11,e13) = e10
    | op1(e12,e13) = e10
    | op1(e13,e13) = e10 ),
    inference(cnf_transformation,[],['ax3_$sk']) ).

cnf('54',plain,
    ( op1(e10,e13) = e10
    | e12 = e10
    | op1(e12,e13) = e10
    | op1(e13,e13) = e10 ),
    inference(simplify,[],['53','5']) ).

cnf('55',plain,
    ( op1(unit1,e12) != e10
    | unit1 = e13 ),
    inference(paramodulation,[],['23','21']) ).

cnf('56',plain,
    ( e12 != e10
    | unit1 = e13 ),
    inference(simplify,[],['55','35']) ).

cnf('57',plain,
    op1(e11,e11) != op1(e11,e12),
    inference(cnf_transformation,[],['ax7_$sk']) ).

cnf('58',plain,
    e13 != e10,
    inference(simplify,[then_simplify],['57','4','10']) ).

cnf('59',plain,
    ( unit1 != e10
    | e12 != e10 ),
    inference(paramodulation,[],['56','58']) ).

cnf('60',plain,
    e12 != e10,
    inference(resolution,[],['28','59']) ).

cnf('61',plain,
    ( op1(e11,e10) = e11
    | op1(e11,e11) = e11
    | op1(e11,e12) = e11
    | op1(e11,e13) = e11 ),
    inference(cnf_transformation,[],['ax3_$sk']) ).

cnf('62',plain,
    ( op1(e11,e10) = e11
    | e13 = e11
    | e12 = e11 ),
    inference(simplify,[then_simplify],['61','8','4','10','5']) ).

cnf('63',plain,
    op1(e10,e11) != op1(e10,e13),
    inference(cnf_transformation,[],['ax7_$sk']) ).

cnf('64',plain,
    ( op1(e11,e10) = e11
    | e12 = e11 ),
    inference(paramodulation,[],['62','63']) ).

cnf('65',plain,
    op1(e10,e11) != op1(e10,e12),
    inference(cnf_transformation,[],['ax7_$sk']) ).

cnf('66',plain,
    op1(e11,e10) = e11,
    inference(paramodulation,[],['64','65']) ).

cnf('67',plain,
    e11 != e10,
    inference(paramodulation,[],['66','17']) ).

cnf('68',plain,
    ( op1(e10,e13) = e10
    | op1(e13,e13) = e10 ),
    inference(paramodulation,[then_simplify],['52','54','60','67']) ).

cnf('69',plain,
    ( e13 != unit1
    | unit1 = e13 ),
    inference(paramodulation,[],['23','58']) ).

cnf('70',plain,
    ( unit1 != e10
    | e13 != unit1 ),
    inference(paramodulation,[],['69','58']) ).

cnf('71',plain,
    e13 != unit1,
    inference(resolution,[],['28','70']) ).

cnf('72',plain,
    op1(e13,e13) = unit1,
    inference(simplify,[then_simplify],['68','71','28','51','28','28']) ).

cnf('73',plain,
    op1(e13,e11) != op1(e13,e13),
    inference(cnf_transformation,[],['ax7_$sk']) ).

cnf('74',plain,
    op1(e13,e11) != unit1,
    inference(paramodulation,[],['72','73']) ).

cnf('75',plain,
    op1(e13,e11) != op1(e13,e12),
    inference(cnf_transformation,[],['ax7_$sk']) ).

cnf('76',plain,
    op1(e13,e11) != e11,
    inference(paramodulation,[],['42','75']) ).

cnf('77',plain,
    op1(unit1,e10) = e10,
    inference(cnf_transformation,[],['ax2_$sk']) ).

cnf('78',plain,
    ( op1(unit1,e10) = unit1
    | unit1 = e13 ),
    inference(paramodulation,[],['23','77']) ).

cnf('79',plain,
    ( e10 = unit1
    | unit1 = e13 ),
    inference(simplify,[],['78','77']) ).

cnf('80',plain,
    ( unit1 != e10
    | e10 = unit1 ),
    inference(paramodulation,[],['79','58']) ).

cnf('81',plain,
    e10 = unit1,
    inference(resolution,[],['28','80']) ).

cnf('82',plain,
    ( op1(e13,e11) = e12
    | op1(e13,e11) = e13 ),
    inference(paramodulation,[then_simplify],['1','74','76','81']) ).

cnf('83',plain,
    op1(e11,e11) != op1(e13,e11),
    inference(cnf_transformation,[],['ax7_$sk']) ).

cnf('84',plain,
    e13 != op1(e13,e11),
    inference(simplify,[],['83','4']) ).

cnf('85',plain,
    op1(e13,e11) = e12,
    inference(paramodulation,[],['82','84']) ).

cnf('86',plain,
    ( op2(e20,e21) = e20
    | op2(e21,e21) = e20
    | op2(e22,e21) = e20
    | op2(e23,e21) = e20 ),
    inference(cnf_transformation,[],['ax6_$sk']) ).

cnf('87',plain,
    ( unit2 = e20
    | unit2 = e21
    | unit2 = e22
    | unit2 = e23 ),
    inference(cnf_transformation,[],['ax5_$sk']) ).

cnf('88',plain,
    op2(e21,e20) != op2(e21,e22),
    inference(cnf_transformation,[],['ax8_$sk']) ).

cnf('89',plain,
    e20 = op2(e21,op2(e21,op2(e21,e21))),
    inference(cnf_transformation,[],['ax15_$sk']) ).

cnf('90',plain,
    e23 = op2(e21,e21),
    inference(cnf_transformation,[],['ax15_$sk']) ).

cnf('91',plain,
    e22 = op2(e21,op2(e21,e21)),
    inference(cnf_transformation,[],['ax15_$sk']) ).

cnf('92',plain,
    e22 = op2(e21,e23),
    inference(simplify,[],['91','90']) ).

cnf('93',plain,
    e20 = op2(e21,e22),
    inference(simplify,[then_simplify],['89','90','92']) ).

cnf('94',plain,
    op2(e21,e20) != e20,
    inference(simplify,[],['88','93']) ).

cnf('95',plain,
    op2(unit2,e20) = e20,
    inference(cnf_transformation,[],['ax5_$sk']) ).

cnf('96',plain,
    ( unit2 = e20
    | unit2 = e22
    | unit2 = e23 ),
    inference(paramodulation,[then_simplify],['87','94','95']) ).

cnf('97',plain,
    op2(e20,e22) != op2(e21,e22),
    inference(cnf_transformation,[],['ax8_$sk']) ).

cnf('98',plain,
    op2(e20,e22) != e20,
    inference(simplify,[],['97','93']) ).

cnf('99',plain,
    op2(e20,unit2) = e20,
    inference(cnf_transformation,[],['ax5_$sk']) ).

cnf('100',plain,
    ( unit2 = e20
    | unit2 = e23 ),
    inference(paramodulation,[then_simplify],['96','98','99']) ).

cnf('101',plain,
    op2(e21,e23) != op2(e22,e23),
    inference(cnf_transformation,[],['ax8_$sk']) ).

cnf('102',plain,
    e22 != op2(e22,e23),
    inference(simplify,[],['101','92']) ).

cnf('103',plain,
    ( e22 != op2(e22,unit2)
    | unit2 = e20 ),
    inference(paramodulation,[],['100','102']) ).

cnf('104',plain,
    op2(e22,unit2) = e22,
    inference(cnf_transformation,[],['ax5_$sk']) ).

cnf('105',plain,
    unit2 = e20,
    inference(simplify,[],['103','104']) ).

cnf('106',plain,
    ( op2(e21,unit2) != e20
    | unit2 = e23 ),
    inference(paramodulation,[],['100','94']) ).

cnf('107',plain,
    op2(e21,unit2) = e21,
    inference(cnf_transformation,[],['ax5_$sk']) ).

cnf('108',plain,
    ( e21 != e20
    | unit2 = e23 ),
    inference(simplify,[],['106','107']) ).

cnf('109',plain,
    h2(e13) = op2(e21,e21),
    inference(cnf_transformation,[],['ax17_$sk']) ).

cnf('110',plain,
    h2(e13) = e23,
    inference(simplify,[],['109','90']) ).

cnf('111',plain,
    ( e21 != e20
    | h2(e13) = unit2 ),
    inference(paramodulation,[],['108','110']) ).

cnf('112',plain,
    ( e21 != e20
    | e23 = unit2 ),
    inference(simplify,[],['111','110']) ).

cnf('113',plain,
    op2(e21,e21) != op2(e21,e22),
    inference(cnf_transformation,[],['ax8_$sk']) ).

cnf('114',plain,
    e23 != e20,
    inference(simplify,[then_simplify],['113','90','93']) ).

cnf('115',plain,
    ( e23 != unit2
    | unit2 = e23 ),
    inference(paramodulation,[],['100','114']) ).

cnf('116',plain,
    ( unit2 != e20
    | e23 != unit2 ),
    inference(paramodulation,[],['115','114']) ).

cnf('117',plain,
    e23 != unit2,
    inference(resolution,[],['105','116']) ).

cnf('118',plain,
    e21 != unit2,
    inference(paramodulation,[then_simplify],['105','112','117']) ).

cnf('119',plain,
    ( op2(unit2,e22) != e20
    | unit2 = e23 ),
    inference(paramodulation,[],['100','98']) ).

cnf('120',plain,
    op2(unit2,e22) = e22,
    inference(cnf_transformation,[],['ax5_$sk']) ).

cnf('121',plain,
    ( e22 != e20
    | unit2 = e23 ),
    inference(simplify,[],['119','120']) ).

cnf('122',plain,
    ( e22 != e20
    | h2(e13) = unit2 ),
    inference(paramodulation,[],['121','110']) ).

cnf('123',plain,
    ( e22 != e20
    | e23 = unit2 ),
    inference(simplify,[],['122','110']) ).

cnf('124',plain,
    e22 != unit2,
    inference(paramodulation,[then_simplify],['105','123','117']) ).

cnf('125',plain,
    op2(unit2,e21) = e21,
    inference(cnf_transformation,[],['ax5_$sk']) ).

cnf('126',plain,
    ( op2(e20,e21) = e22
    | op2(e21,e21) = e22
    | op2(e22,e21) = e22
    | op2(e23,e21) = e22 ),
    inference(cnf_transformation,[],['ax6_$sk']) ).

cnf('127',plain,
    e21 != e22,
    inference(cnf_transformation,[],['ax10_$sk']) ).

cnf('128',plain,
    ( e23 = e22
    | op2(e22,e21) = e22
    | op2(e23,e21) = e22 ),
    inference(simplify,[then_simplify],['126','127','105','125','90']) ).

cnf('129',plain,
    op2(e22,e20) != op2(e22,e21),
    inference(cnf_transformation,[],['ax8_$sk']) ).

cnf('130',plain,
    op2(e22,unit2) != op2(e22,e21),
    inference(paramodulation,[],['105','129']) ).

cnf('131',plain,
    e22 != op2(e22,e21),
    inference(simplify,[],['130','104']) ).

cnf('132',plain,
    ( op2(e23,e21) = e22
    | e23 = e22 ),
    inference(paramodulation,[],['128','131']) ).

cnf('133',plain,
    op2(e21,e21) != op2(e21,e23),
    inference(cnf_transformation,[],['ax8_$sk']) ).

cnf('134',plain,
    e23 != e22,
    inference(simplify,[then_simplify],['133','90','92']) ).

cnf('135',plain,
    op2(e23,e21) = e22,
    inference(resolution,[],['132','134']) ).

cnf('136',plain,
    op2(e22,e21) = unit2,
    inference(simplify,[then_simplify],['86','118','117','124','105','125','105','90','105','105','135','105']) ).

cnf('137',plain,
    ( h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
    | h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
    | h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
    | h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
    | h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
    | h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
    | h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
    | h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
    | h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
    | h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
    | h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
    | h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
    | h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
    | h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
    | h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
    | h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
    | h2(e10) != e20
    | ~ $pr($df90) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('138',plain,
    ( h2(e12) != e22
    | ~ $pr($df126)
    | $pr($df90)
    | $pr($df89) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('139',plain,
    ( h2(e13) != e23
    | ~ $pr($df125) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('140',plain,
    ~ $pr($df125),
    inference(simplify,[],['139','110']) ).

cnf('141',plain,
    ( $pr($df126)
    | $pr($df125) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('142',plain,
    $pr($df126),
    inference(resolution,[],['140','141']) ).

cnf('143',plain,
    h2(e12) = op2(e21,op2(e21,e21)),
    inference(cnf_transformation,[],['ax17_$sk']) ).

cnf('144',plain,
    h2(e12) = e22,
    inference(simplify,[then_simplify],['143','90','92']) ).

cnf('145',plain,
    ( $pr($df90)
    | $pr($df89) ),
    inference(simplify,[then_simplify],['138','142','144']) ).

cnf('146',plain,
    ( h2(e11) != e21
    | ~ $pr($df89) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('147',plain,
    h2(e11) = e21,
    inference(cnf_transformation,[],['ax17_$sk']) ).

cnf('148',plain,
    ~ $pr($df89),
    inference(simplify,[],['146','147']) ).

cnf('149',plain,
    $pr($df90),
    inference(resolution,[],['145','148']) ).

cnf('150',plain,
    h2(e10) = op2(e21,op2(e21,op2(e21,e21))),
    inference(cnf_transformation,[],['ax17_$sk']) ).

cnf('151',plain,
    h2(e10) = e20,
    inference(simplify,[then_simplify],['150','90','92','93']) ).

cnf('152',plain,
    h1(e13) = op2(e20,e20),
    inference(cnf_transformation,[],['ax16_$sk']) ).

cnf('153',plain,
    h3(e13) = op2(e22,e22),
    inference(cnf_transformation,[],['ax18_$sk']) ).

cnf('154',plain,
    h4(e13) = op2(e23,e23),
    inference(cnf_transformation,[],['ax19_$sk']) ).

cnf('155',plain,
    ( h2(op1(e10,e10)) != h1(e13)
    | h2(op1(e10,e11)) != op2(e20,e21)
    | h2(op1(e11,e10)) != op2(e21,e20)
    | h2(op1(e10,e12)) != op2(e20,e22)
    | h2(op1(e12,e10)) != op2(e22,e20)
    | h2(op1(e10,e13)) != op2(e20,e23)
    | h2(op1(e12,e11)) != op2(e22,e21)
    | h2(op1(e13,e10)) != op2(e23,e20)
    | h2(op1(e12,e12)) != h3(e13)
    | h2(op1(e13,e11)) != op2(e23,e21)
    | h2(op1(e12,e13)) != op2(e22,e23)
    | h2(op1(e13,e12)) != op2(e23,e22)
    | h2(op1(e13,e13)) != h4(e13) ),
    inference(simplify,[then_simplify],['137','149','151','151','152','151','147','147','151','151','144','4','110','147','147','90','144','151','151','110','10','151','147','144','93','144','147','110','151','5','144','147','110','92','144','144','153','110','147','144','110','110','144','110','110','154','151']) ).

cnf('156',plain,
    ( h2(op1(e10,e11)) != op2(e20,e21)
    | h2(op1(e11,e10)) != op2(e21,e20)
    | h2(op1(e10,e12)) != op2(e20,e22)
    | h2(op1(e12,e10)) != op2(e22,e20)
    | h2(op1(e10,e13)) != op2(e20,e23)
    | h2(op1(e13,e10)) != op2(e23,e20)
    | h2(op1(e13,e11)) != op2(e23,e21)
    | h2(op1(e12,e13)) != op2(e22,e23)
    | h2(op1(e13,e12)) != op2(e23,e22)
    | h2(op1(e10,e10)) != h1(e13)
    | h2(op1(e12,e12)) != h3(e13)
    | h2(op1(e13,e13)) != h4(e13)
    | h2(op1(e12,e11)) != unit2 ),
    inference(paramodulation,[],['136','155']) ).

cnf('157',plain,
    op1(unit1,e11) = e11,
    inference(cnf_transformation,[],['ax2_$sk']) ).

cnf('158',plain,
    op1(e11,unit1) = e11,
    inference(cnf_transformation,[],['ax2_$sk']) ).

cnf('159',plain,
    op2(unit2,e23) = e23,
    inference(cnf_transformation,[],['ax5_$sk']) ).

cnf('160',plain,
    op2(e23,unit2) = e23,
    inference(cnf_transformation,[],['ax5_$sk']) ).

cnf('161',plain,
    ( op2(e20,e22) = e23
    | op2(e21,e22) = e23
    | op2(e22,e22) = e23
    | op2(e23,e22) = e23 ),
    inference(cnf_transformation,[],['ax6_$sk']) ).

cnf('162',plain,
    e22 != e23,
    inference(cnf_transformation,[],['ax10_$sk']) ).

cnf('163',plain,
    ( h2(e10) = unit2
    | unit2 = e23 ),
    inference(paramodulation,[],['100','151']) ).

cnf('164',plain,
    ( e20 = unit2
    | unit2 = e23 ),
    inference(simplify,[],['163','151']) ).

cnf('165',plain,
    ( unit2 != e20
    | e20 = unit2 ),
    inference(paramodulation,[],['164','114']) ).

cnf('166',plain,
    e20 != e23,
    inference(cnf_transformation,[],['ax10_$sk']) ).

cnf('167',plain,
    ( unit2 != e20
    | unit2 != e23 ),
    inference(paramodulation,[],['165','166']) ).

cnf('168',plain,
    unit2 != e23,
    inference(resolution,[],['105','167']) ).

cnf('169',plain,
    ( h3(e13) = e23
    | op2(e23,e22) = e23 ),
    inference(simplify,[then_simplify],['161','162','168','105','120','93','105','153']) ).

cnf('170',plain,
    op2(e23,e20) != op2(e23,e22),
    inference(cnf_transformation,[],['ax8_$sk']) ).

cnf('171',plain,
    op2(e23,unit2) != op2(e23,e22),
    inference(paramodulation,[],['105','170']) ).

cnf('172',plain,
    e23 != op2(e23,e22),
    inference(simplify,[],['171','160']) ).

cnf('173',plain,
    h3(e13) = e23,
    inference(paramodulation,[],['169','172']) ).

cnf('174',plain,
    h3(e12) = op2(e22,op2(e22,e22)),
    inference(cnf_transformation,[],['ax18_$sk']) ).

cnf('175',plain,
    h3(e12) = op2(e22,h3(e13)),
    inference(simplify,[],['174','153']) ).

cnf('176',plain,
    h3(e12) = op2(e22,e23),
    inference(paramodulation,[],['173','175']) ).

cnf('177',plain,
    ( op2(e22,e20) = e21
    | op2(e22,e21) = e21
    | op2(e22,e22) = e21
    | op2(e22,e23) = e21 ),
    inference(cnf_transformation,[],['ax6_$sk']) ).

cnf('178',plain,
    ( e22 = e21
    | op2(e22,e21) = e21
    | e23 = e21
    | h3(e12) = e21 ),
    inference(simplify,[then_simplify],['177','105','104','153','173','176']) ).

cnf('179',plain,
    ( op2(e20,e22) = e21
    | op2(e21,e22) = e21
    | op2(e22,e22) = e21
    | op2(e23,e22) = e21 ),
    inference(cnf_transformation,[],['ax6_$sk']) ).

cnf('180',plain,
    e20 != e21,
    inference(cnf_transformation,[],['ax10_$sk']) ).

cnf('181',plain,
    ( unit2 != e21
    | unit2 = e23 ),
    inference(paramodulation,[],['100','180']) ).

cnf('182',plain,
    ( unit2 != e20
    | unit2 != e21 ),
    inference(paramodulation,[],['181','114']) ).

cnf('183',plain,
    unit2 != e21,
    inference(resolution,[],['105','182']) ).

cnf('184',plain,
    ( e22 = e21
    | e23 = e21
    | op2(e23,e22) = e21 ),
    inference(simplify,[then_simplify],['179','183','105','120','93','105','153','173']) ).

cnf('185',plain,
    op2(e23,e21) != op2(e23,e22),
    inference(cnf_transformation,[],['ax8_$sk']) ).

cnf('186',plain,
    ( op2(e23,e22) = e21
    | e23 = e21 ),
    inference(paramodulation,[],['184','185']) ).

cnf('187',plain,
    op2(e21,e22) != op2(e23,e22),
    inference(cnf_transformation,[],['ax8_$sk']) ).

cnf('188',plain,
    e20 != op2(e23,e22),
    inference(simplify,[],['187','93']) ).

cnf('189',plain,
    unit2 != op2(e23,e22),
    inference(paramodulation,[],['105','188']) ).

cnf('190',plain,
    unit2 = op2(e21,e22),
    inference(paramodulation,[],['105','93']) ).

cnf('191',plain,
    op2(e23,e22) = e21,
    inference(paramodulation,[then_simplify],['186','189','190']) ).

cnf('192',plain,
    op2(e20,e22) != op2(e23,e22),
    inference(cnf_transformation,[],['ax8_$sk']) ).

cnf('193',plain,
    op2(unit2,e22) != op2(e23,e22),
    inference(paramodulation,[],['105','192']) ).

cnf('194',plain,
    e22 != op2(e23,e22),
    inference(simplify,[],['193','120']) ).

cnf('195',plain,
    e22 != e21,
    inference(paramodulation,[],['191','194']) ).

cnf('196',plain,
    e23 != e21,
    inference(paramodulation,[],['191','172']) ).

cnf('197',plain,
    h3(e12) = e21,
    inference(paramodulation,[then_simplify],['136','178','195','183','196']) ).

cnf('198',plain,
    ( op1(unit1,unit1) = e10
    | unit1 = e13 ),
    inference(paramodulation,[],['23','77']) ).

cnf('199',plain,
    e10 != e13,
    inference(cnf_transformation,[],['ax9_$sk']) ).

cnf('200',plain,
    ( unit1 != e10
    | unit1 != e13 ),
    inference(paramodulation,[],['80','199']) ).

cnf('201',plain,
    unit1 != e13,
    inference(resolution,[],['28','200']) ).

cnf('202',plain,
    op1(unit1,unit1) = unit1,
    inference(paramodulation,[then_simplify],['28','198','201']) ).

cnf('203',plain,
    ( h2(unit1) = e20
    | unit1 = e13 ),
    inference(paramodulation,[],['23','151']) ).

cnf('204',plain,
    ( h2(unit1) = unit2
    | unit1 = e13 ),
    inference(simplify,[],['203','105']) ).

cnf('205',plain,
    ( unit1 != e10
    | h2(unit1) = unit2 ),
    inference(paramodulation,[],['204','58']) ).

cnf('206',plain,
    h2(unit1) = unit2,
    inference(resolution,[],['28','205']) ).

cnf('207',plain,
    h1(e13) = op2(e20,unit2),
    inference(paramodulation,[],['105','152']) ).

cnf('208',plain,
    op2(e20,unit2) = e20,
    inference(cnf_transformation,[],['ax5_$sk']) ).

cnf('209',plain,
    ( op2(unit2,unit2) = e20
    | unit2 = e23 ),
    inference(paramodulation,[],['100','208']) ).

cnf('210',plain,
    op2(unit2,unit2) = unit2,
    inference(paramodulation,[then_simplify],['105','209','168']) ).

cnf('211',plain,
    h1(e13) = unit2,
    inference(simplify,[then_simplify],['207','105','210']) ).

cnf('212',plain,
    ( op2(e23,e20) = e20
    | op2(e23,e21) = e20
    | op2(e23,e22) = e20
    | op2(e23,e23) = e20 ),
    inference(cnf_transformation,[],['ax6_$sk']) ).

cnf('213',plain,
    h4(e13) = unit2,
    inference(simplify,[then_simplify],['212','117','124','118','105','160','105','135','105','191','105','154','105']) ).

cnf('214',plain,
    ( h2(op1(e13,e11)) != e22
    | h2(op1(e12,e13)) != e21
    | h2(op1(e13,e12)) != e21
    | h2(op1(e12,e12)) != e23
    | h2(op1(e13,e13)) != unit2
    | h2(op1(e12,e11)) != unit2 ),
    inference(simplify,[then_simplify],['156','28','157','147','105','125','28','158','147','105','107','28','35','144','105','120','28','27','144','105','104','28','51','110','105','159','28','31','110','105','160','135','176','197','191','28','28','202','206','211','173','213']) ).

cnf('215',plain,
    h2(e11) = e21,
    inference(cnf_transformation,[],['ax17_$sk']) ).

cnf('216',plain,
    ( h2(op1(e12,e11)) != unit2
    | h2(op1(e13,e13)) != unit2
    | h2(op1(e12,e13)) != e21
    | h2(op1(e13,e11)) != e22
    | h2(op1(e12,e12)) != e23 ),
    inference(paramodulation,[then_simplify],['42','214','215']) ).

cnf('217',plain,
    ( h2(op1(e12,e11)) != unit2
    | h2(op1(e13,e13)) != unit2
    | h2(op1(e12,e13)) != e21
    | h2(op1(e13,e11)) != e22 ),
    inference(simplify,[then_simplify],['216','36','110']) ).

cnf('218',plain,
    op1(e12,e11) != op1(e12,e13),
    inference(cnf_transformation,[],['ax7_$sk']) ).

cnf('219',plain,
    op1(e12,e11) != e11,
    inference(paramodulation,[],['52','218']) ).

cnf('220',plain,
    ( op1(e12,e11) = e10
    | op1(e12,e11) = e11
    | op1(e12,e11) = e12
    | op1(e12,e11) = e13 ),
    inference(cnf_transformation,[],['ax1_$sk']) ).

cnf('221',plain,
    ( op1(e12,e11) = e10
    | op1(e12,e11) = e12 ),
    inference(resolution,[then_simplify],['219','220','41']) ).

cnf('222',plain,
    ( op1(e12,e11) = unit1
    | op1(e12,e11) = e12 ),
    inference(simplify,[],['221','28']) ).

cnf('223',plain,
    op1(e12,e10) != op1(e12,e11),
    inference(cnf_transformation,[],['ax7_$sk']) ).

cnf('224',plain,
    op1(e12,unit1) != op1(e12,e11),
    inference(paramodulation,[],['28','223']) ).

cnf('225',plain,
    e12 != op1(e12,e11),
    inference(simplify,[],['224','27']) ).

cnf('226',plain,
    op1(e12,e11) = unit1,
    inference(paramodulation,[],['222','225']) ).

cnf('227',plain,
    ( h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
    | ~ $pr($df108) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('228',plain,
    ( h2(op1(e12,e11)) != op2(e22,e21)
    | ~ $pr($df108) ),
    inference(simplify,[then_simplify],['227','144','147']) ).

cnf('229',plain,
    ( h2(op1(e12,e11)) != unit2
    | ~ $pr($df108) ),
    inference(paramodulation,[],['136','228']) ).

cnf('230',plain,
    h2(unit1) = unit2,
    inference(resolution,[],['28','205']) ).

cnf('231',plain,
    ~ $pr($df108),
    inference(paramodulation,[then_simplify],['226','229','230']) ).

cnf('232',plain,
    ( h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
    | $pr($df92)
    | $pr($df91)
    | $pr($df108) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('233',plain,
    ( ~ $pr($df92)
    | h2(e11) = e20 ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('234',plain,
    ( ~ $pr($df92)
    | e21 = e20 ),
    inference(simplify,[],['233','147']) ).

cnf('235',plain,
    ~ $pr($df92),
    inference(paramodulation,[],['234','180']) ).

cnf('236',plain,
    ( h2(op1(e12,e11)) = op2(e22,e21)
    | $pr($df91)
    | $pr($df108) ),
    inference(simplify,[then_simplify],['232','235','144','147']) ).

cnf('237',plain,
    ( h2(op1(e12,e11)) = unit2
    | $pr($df91)
    | $pr($df108) ),
    inference(paramodulation,[],['136','236']) ).

cnf('238',plain,
    ( h2(op1(e12,e11)) = unit2
    | $pr($df91) ),
    inference(resolution,[],['231','237']) ).

cnf('239',plain,
    ( ~ $pr($df91)
    | h2(op1(e12,e11)) = op2(h2(e12),h2(e11)) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('240',plain,
    ( ~ $pr($df91)
    | h2(op1(e12,e11)) = op2(e22,e21) ),
    inference(simplify,[then_simplify],['239','144','147']) ).

cnf('241',plain,
    ( ~ $pr($df91)
    | h2(op1(e12,e11)) = unit2 ),
    inference(paramodulation,[],['136','240']) ).

cnf('242',plain,
    h2(op1(e12,e11)) = unit2,
    inference(simplify,[],['238','241']) ).

cnf('243',plain,
    ( h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
    | ~ $pr($df120) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('244',plain,
    ( h2(op1(e13,e13)) != h4(e13)
    | ~ $pr($df120) ),
    inference(simplify,[then_simplify],['243','110','110','154']) ).

cnf('245',plain,
    ( h2(op1(e13,e13)) != unit2
    | ~ $pr($df120) ),
    inference(paramodulation,[],['213','244']) ).

cnf('246',plain,
    ~ $pr($df120),
    inference(paramodulation,[then_simplify],['72','245','230']) ).

cnf('247',plain,
    ( h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
    | $pr($df92)
    | $pr($df91)
    | $pr($df120) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('248',plain,
    ( h2(op1(e13,e13)) = h4(e13)
    | $pr($df91)
    | $pr($df120) ),
    inference(simplify,[then_simplify],['247','235','110','110','154']) ).

cnf('249',plain,
    ( h2(op1(e13,e13)) = unit2
    | $pr($df91)
    | $pr($df120) ),
    inference(paramodulation,[],['213','248']) ).

cnf('250',plain,
    ( h2(op1(e13,e13)) = unit2
    | $pr($df91) ),
    inference(resolution,[],['246','249']) ).

cnf('251',plain,
    ( ~ $pr($df91)
    | h2(op1(e13,e13)) = op2(h2(e13),h2(e13)) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('252',plain,
    ( ~ $pr($df91)
    | h2(op1(e13,e13)) = h4(e13) ),
    inference(simplify,[then_simplify],['251','110','110','154']) ).

cnf('253',plain,
    ( ~ $pr($df91)
    | h2(op1(e13,e13)) = unit2 ),
    inference(paramodulation,[],['213','252']) ).

cnf('254',plain,
    h2(op1(e13,e13)) = unit2,
    inference(simplify,[],['250','253']) ).

cnf('255',plain,
    ( h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
    | ~ $pr($df112) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('256',plain,
    ( h2(op1(e12,e13)) != op2(e22,e23)
    | ~ $pr($df112) ),
    inference(simplify,[then_simplify],['255','144','110']) ).

cnf('257',plain,
    ( h2(op1(e12,e13)) != h3(e12)
    | ~ $pr($df112) ),
    inference(paramodulation,[],['176','256']) ).

cnf('258',plain,
    ( h2(op1(e12,e13)) != e21
    | ~ $pr($df112) ),
    inference(paramodulation,[],['197','257']) ).

cnf('259',plain,
    ~ $pr($df112),
    inference(paramodulation,[then_simplify],['52','258','215']) ).

cnf('260',plain,
    ( h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
    | $pr($df112)
    | $pr($df92)
    | $pr($df91) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('261',plain,
    ( h2(op1(e12,e13)) = op2(e22,e23)
    | $pr($df112)
    | $pr($df91) ),
    inference(simplify,[then_simplify],['260','235','144','110']) ).

cnf('262',plain,
    ( h2(op1(e12,e13)) = h3(e12)
    | $pr($df112)
    | $pr($df91) ),
    inference(paramodulation,[],['176','261']) ).

cnf('263',plain,
    ( h2(op1(e12,e13)) = e21
    | $pr($df112)
    | $pr($df91) ),
    inference(simplify,[],['262','197']) ).

cnf('264',plain,
    ( h2(op1(e12,e13)) = e21
    | $pr($df91) ),
    inference(resolution,[],['259','263']) ).

cnf('265',plain,
    ( ~ $pr($df91)
    | h2(op1(e12,e13)) = op2(h2(e12),h2(e13)) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('266',plain,
    ( ~ $pr($df91)
    | h2(op1(e12,e13)) = op2(e22,e23) ),
    inference(simplify,[then_simplify],['265','144','110']) ).

cnf('267',plain,
    ( ~ $pr($df91)
    | h2(op1(e12,e13)) = h3(e12) ),
    inference(paramodulation,[],['176','266']) ).

cnf('268',plain,
    ( ~ $pr($df91)
    | h2(op1(e12,e13)) = e21 ),
    inference(paramodulation,[],['197','267']) ).

cnf('269',plain,
    h2(op1(e12,e13)) = e21,
    inference(simplify,[],['264','268']) ).

cnf('270',plain,
    h2(e12) != e22,
    inference(paramodulation,[then_simplify],['85','217','242','254','269']) ).

cnf('271',plain,
    $false,
    inference(simplify,[],['270','144']) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10  % Problem  : ALG038+1 : TPTP v8.1.2. Released v2.7.0.
% 0.00/0.11  % Command  : gkc %s
% 0.10/0.32  % Computer : n022.cluster.edu
% 0.10/0.32  % Model    : x86_64 x86_64
% 0.10/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32  % Memory   : 8042.1875MB
% 0.10/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32  % CPULimit : 300
% 0.10/0.32  % WCLimit  : 300
% 0.10/0.32  % DateTime : Mon Aug 28 03:50:09 EDT 2023
% 0.10/0.32  % CPUTime  : 
% 0.10/0.38  
% 0.10/0.38  input clause set summed statistics:
% 0.10/0.38  ----------------------------------
% 0.10/0.38  in_clause_count:                  1288
% 0.10/0.38  in_rule_clause_count:             1288
% 0.10/0.38  in_fact_clause_count:                0
% 0.10/0.38  in_answer_clause_count:              0
% 0.10/0.38  in_ground_clause_count:           1288
% 0.10/0.38  in_unit_clause_count:              162
% 0.10/0.38  in_horn_clause_count:              770
% 0.10/0.38  in_pos_clause_count:               220
% 0.10/0.38  in_neg_clause_count:               440
% 0.10/0.38  in_poseq_clause_count:             496
% 0.10/0.38  in_negeq_clause_count:             292
% 0.10/0.38  in_unitposeq_clause_count:          38
% 0.10/0.38  in_chain_clause_count:               0
% 0.10/0.38  in_min_length:             1
% 0.10/0.38  in_max_length:            18
% 0.10/0.38  in_min_depth:              1
% 0.10/0.38  in_max_depth:              4
% 0.10/0.38  in_min_size:               3
% 0.10/0.38  in_max_size:             166
% 0.10/0.38  in_min_vars:               0
% 0.10/0.38  in_max_vars:               0
% 0.10/0.38  in_extaxiom_count:                 0
% 0.10/0.38  in_axiom_count:                  268
% 0.10/0.38  in_assumption_count:               0
% 0.10/0.38  in_goal_count:                  1020
% 0.10/0.38  in_neg_goal_count:               308
% 0.10/0.38  in_pos_goal_count:                84
% 0.10/0.38  in_posunit_goal_count:             0
% 0.10/0.38  
% 0.10/0.38  auto guide:
% 0.10/0.38  -----------
% 0.10/0.38  {
% 0.10/0.38  "print":1,
% 0.10/0.38  "print_level": 15,
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% 0.10/0.38  {"max_dseconds":50, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1},
% 0.10/0.38  {"var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["positive_pref"], "max_dseconds":50},
% 0.10/0.38  {"length_penalty":100, "depth_penalty":100, "query_preference":0, "strategy":["negative_pref", "hornpref", "max_weight"], "max_dseconds":50},
% 0.10/0.38  {"sine":1, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "depth_penalty":50, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":50},
% 0.10/0.38  {"max_dseconds":50, "strategy":["unit"], "query_preference":0, "max_depth":4},
% 0.10/0.38  {"sine":2, "query_preference":0, "strategy":["unit"], "max_dseconds":50},
% 0.10/0.38  {"weight_select_ratio":100, "rewrite":0, "depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":50},
% 0.10/0.38  
% 0.10/0.38  {"max_dseconds":250, "strategy":["unit", "pure_unit"], "max_size":30, "max_depth":10, "max_weight":300, "weight_select_ratio":1, "rewrite":0},
% 0.10/0.38  {"max_dseconds":250, "strategy":["query_focus"], "query_preference":3},
% 0.10/0.38  {"max_dseconds":250, "strategy":["unit"], "query_preference":0},
% 0.10/0.38  {"max_dseconds":250, "strategy":["query_focus", "unit"], "query_preference":0},
% 0.10/0.38  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":0, "depth_penalty":100, "sine":1},
% 0.10/0.38  {"weight_select_ratio":100, "query_preference":0, "strategy":["negative_pref", "max_weight"], "max_dseconds":250},
% 0.10/0.38  
% 0.10/0.38  {"max_dseconds":1250, "strategy":["unit", "pure_unit"], "max_size":30, "max_depth":10, "max_weight":300, "weight_select_ratio":1, "rewrite":0},
% 0.10/0.38  {"max_dseconds":1250, "strategy":["query_focus"], "query_preference":3},
% 0.10/0.38  {"max_dseconds":1250, "strategy":["unit"], "query_preference":0},
% 0.10/0.38  {"max_dseconds":1250, "strategy":["query_focus", "unit"], "query_preference":0},
% 0.10/0.38  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":0, "depth_penalty":100, "sine":1} 
% 0.10/0.38  
% 0.10/0.38  ]}
% 0.10/0.38  
% 0.10/0.38  
% 0.10/0.38  **** run 2 fork 1 starts with strategy
% 0.10/0.38  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0,"sine":5}
% 0.10/0.38  
% 0.10/0.38  **** run 3 fork 2 starts with strategy
% 0.10/0.38  {"max_dseconds":1,"strategy":["unit","prohibit_unordered_para"],"query_preference":1}
% 0.10/0.38  
% 0.10/0.38  **** run 4 fork 3 starts with strategy
% 0.10/0.38  {"max_dseconds":1,"strategy":["hardness_pref","prohibit_unordered_para"],"query_preference":1}
% 0.10/0.38  
% 0.10/0.38  **** run 5 fork 4 starts with strategy
% 0.10/0.38  {"max_dseconds":1,"strategy":["unit","prohibit_unordered_para","prohibit_deep_para"],"query_preference":0}
% 0.10/0.38  
% 0.10/0.38  **** run 6 fork 5 starts with strategy
% 0.10/0.38  {"max_dseconds":1,"strategy":["unit","prohibit_unordered_para","prohibit_deep_para"],"query_preference":1}
% 0.10/0.38  
% 0.10/0.38  **** run 7 fork 6 starts with strategy
% 0.10/0.38  {"max_dseconds":1,"strategy":["negative_pref","prohibit_unordered_para","prohibit_deep_para"],"query_preference":1}
% 0.10/0.38  
% 0.10/0.38  **** run 1 fork 0 starts with strategy
% 0.10/0.38  
% 0.10/0.38  **** run 8 fork 7 starts with strategy
% 0.10/0.38  {"max_dseconds":1,"strategy":["unit","prohibit_nested_para","prohibit_deep_para","prohibit_unordered_para"],"query_preference":0}
% 0.10/0.38  {"max_dseconds":1,"strategy":["unit","pure_unit"],"max_size":30,"max_depth":10,"max_weight":300,"weight_select_ratio":1,"rewrite":0}
% 0.16/0.43  
% 0.16/0.43  fork 0: search finished without proof.
% 0.16/0.45  
% 0.16/0.45  **** run 9 fork 0 starts with strategy
% 0.16/0.45  {"max_dseconds":1,"strategy":["negative_pref","prohibit_nested_para","prohibit_unordered_para","prohibit_deep_para"],"query_preference":0}
% 0.16/0.51  
% 0.16/0.51  fork 4: search finished without proof.
% 0.16/0.51  
% 0.16/0.51  fork 7: search finished without proof.
% 0.16/0.51  
% 0.16/0.51  fork 3: search finished without proof.
% 0.16/0.52  
% 0.16/0.52  
% 0.16/0.52  fork 2: search terminated without proof.
% 0.16/0.52  
% 0.16/0.52  
% 0.16/0.52  fork 1: search terminated without proof.
% 0.16/0.52  
% 0.16/0.52  
% 0.16/0.52  fork 5: search terminated without proof.
% 0.16/0.52  
% 0.16/0.52  
% 0.16/0.52  fork 6: search terminated without proof.
% 0.16/0.54  
% 0.16/0.54  **** run 10 fork 1 starts with strategy
% 0.16/0.54  
% 0.16/0.54  **** run 16 fork 7 starts with strategy
% 0.16/0.54  {"weight_select_ratio":100,"var_weight":70,"repeat_var_weight":70,"query_preference":0,"strategy":["hardness_pref"],"max_dseconds":1}
% 0.16/0.54  {"max_dseconds":1,"strategy":["hardness_pref","prohibit_nested_para","prohibit_unordered_para","prohibit_deep_para"],"query_preference":1}
% 0.16/0.54  
% 0.16/0.54  **** run 13 fork 4 starts with strategy
% 0.16/0.54  {"max_dseconds":1,"strategy":["query_focus","unit"],"query_preference":0}
% 0.16/0.55  
% 0.16/0.55  **** run 12 fork 3 starts with strategy
% 0.16/0.55  {"max_dseconds":1,"strategy":["unit"],"query_preference":0}
% 0.16/0.55  
% 0.16/0.55  **** run 14 fork 5 starts with strategy
% 0.16/0.55  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0,"depth_penalty":100,"sine":1}
% 0.16/0.55  **** run 11 fork 2 starts with strategy
% 0.16/0.55  {"max_dseconds":1,"strategy":["query_focus"],"query_preference":3}
% 0.16/0.55  
% 0.16/0.55  
% 0.16/0.55  **** run 15 fork 6 starts with strategy
% 0.16/0.55  {"max_dseconds":1,"strategy":["unit","pure_unit"],"weight_select_ratio":1,"query_preference":0}
% 0.16/0.57  
% 0.16/0.57  
% 0.16/0.57  fork 0: search terminated without proof.
% 0.16/0.60  
% 0.16/0.60  fork 6: search finished without proof.
% 0.16/0.60  No candidate clauses found.
% 0.16/0.60  
% 0.16/0.60  
% 0.16/0.60  fork 2: search terminated without proof.
% 0.16/0.60  
% 0.16/0.60  **** run 17 fork 0 starts with strategy
% 0.16/0.60  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0}
% 0.16/0.62  
% 0.16/0.62  **** run 23 fork 6 starts with strategy
% 0.16/0.62  {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"depth_penalty":100}
% 0.16/0.63  
% 0.16/0.63  **** run 19 fork 2 starts with strategy
% 0.16/0.63  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0,"weight_select_ratio":100,"depth_penalty":100,"length_penalty":100}
% 0.16/0.67  
% 0.16/0.67  
% 0.16/0.67  fork 1: search terminated without proof.
% 0.16/0.67  
% 0.16/0.67  fork 3: search finished without proof.
% 0.16/0.68  
% 0.16/0.68  
% 0.16/0.68  fork 4: search terminated without proof.
% 0.16/0.68  
% 0.16/0.68  
% 0.16/0.68  fork 7: search terminated without proof.
% 0.16/0.68  
% 0.16/0.68  
% 0.16/0.68  fork 5: search terminated without proof.
% 0.16/0.69  
% 0.16/0.69  **** run 18 fork 1 starts with strategy
% 0.16/0.69  {"max_dseconds":1,"strategy":["hardness_pref"],"query_preference":0}
% 0.16/0.70  
% 0.16/0.70  **** run 20 fork 3 starts with strategy
% 0.16/0.70  {"max_dseconds":1,"strategy":["hardness_pref"],"query_preference":0,"weight_select_ratio":1,"depth_penalty":50,"length_penalty":100}
% 0.16/0.70  
% 0.16/0.70  **** run 24 fork 7 starts with strategy
% 0.16/0.70  {"max_dseconds":1,"strategy":["hardness_pref"],"query_preference":0,"weight_select_ratio":20,"depth_penalty":50,"length_penalty":100}
% 0.16/0.70  
% 0.16/0.70  **** run 21 fork 4 starts with strategy
% 0.16/0.70  {"max_dseconds":1,"strategy":["hardness_pref"],"query_preference":0,"sine":1}
% 0.16/0.71  
% 0.16/0.71  **** run 22 fork 5 starts with strategy
% 0.16/0.71  {"max_dseconds":1,"strategy":["query_focus","positive_pref"],"query_preference":0}
% 0.16/0.75  
% 0.16/0.75  fork 6: search finished without proof.
% 0.16/0.77  
% 0.16/0.77  
% 0.16/0.77  fork 2: search terminated without proof.
% 0.16/0.77  
% 0.16/0.77  **** run 31 fork 6 starts with strategy
% 0.16/0.77  {"max_dseconds":1,"strategy":["positive_pref"],"query_preference":0,"reverse_clauselist":1,"length_penalty":100}
% 0.16/0.80  
% 0.16/0.80  **** run 27 fork 2 starts with strategy
% 0.16/0.80  {"max_dseconds":1,"strategy":["positive_pref"],"query_preference":0}
% 0.16/0.81  
% 0.16/0.81  
% 0.16/0.81  fork 0: search terminated without proof.
% 0.16/0.83  
% 0.16/0.83  
% 0.16/0.83  fork 1: search terminated without proof.
% 0.16/0.84  
% 0.16/0.84  fork 3: search finished without proof.
% 0.16/0.84  
% 0.16/0.84  
% 0.16/0.84  fork 5: search terminated without proof.
% 0.16/0.84  
% 0.16/0.84  
% 0.16/0.84  fork 7: search terminated without proof.
% 0.16/0.84  
% 0.16/0.84  fork 4: search finished without proof.
% 0.16/0.85  
% 0.16/0.85  **** run 26 fork 1 starts with strategy
% 0.16/0.85  {"max_dseconds":1,"strategy":["hardness_pref"],"query_preference":0,"rewrite":0}
% 0.16/0.86  
% 0.16/0.86  **** run 28 fork 3 starts with strategy
% 0.16/0.86  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0,"max_depth":4}
% 0.16/0.87  
% 0.16/0.87  **** run 25 fork 0 starts with strategy
% 0.16/0.87  {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"sine":1}
% 0.16/0.87  
% 0.16/0.87  **** run 32 fork 7 starts with strategy
% 0.16/0.87  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0,"max_depth":3}
% 0.16/0.87  
% 0.16/0.87  **** run 29 fork 4 starts with strategy
% 0.16/0.87  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0,"weight_select_ratio":1,"depth_penalty":50,"length_penalty":100}
% 0.16/0.87  
% 0.16/0.87  **** run 30 fork 5 starts with strategy
% 0.16/0.87  {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"var_weight":1,"depth_penalty":100,"repeat_var_weight":1}
% 0.16/0.91  
% 0.16/0.91  
% 0.16/0.91  fork 6: search terminated without proof.
% 0.16/0.93  
% 0.16/0.93  fork 2: search finished without proof.
% 0.16/0.94  
% 0.16/0.94  **** run 39 fork 6 starts with strategy
% 0.16/0.94  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0,"sine":1}
% 0.16/0.95  
% 0.16/0.95  **** run 35 fork 2 starts with strategy
% 0.16/0.95  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0,"max_depth":1}
% 0.16/0.98  
% 0.16/0.98  
% 0.16/0.98  fork 1: search terminated without proof.
% 0.16/1.00  
% 0.16/1.00  **** run 34 fork 1 starts with strategy
% 0.16/1.00  {"max_dseconds":1,"strategy":["unit","pure_unit"],"query_preference":0}
% 0.16/1.00  
% 0.16/1.00  
% 0.16/1.00  fork 3: search terminated without proof.
% 0.16/1.00  
% 0.16/1.00  fork 4: search finished without proof.
% 2.92/1.01  
% 2.92/1.01  
% 2.92/1.01  fork 7: search terminated without proof.
% 2.92/1.01  
% 2.92/1.01  fork 5: search finished without proof.
% 2.92/1.03  
% 2.92/1.03  **** run 36 fork 3 starts with strategy
% 2.92/1.03  {"max_dseconds":1,"strategy":["query_focus","unit"],"query_preference":0,"sine":2}
% 2.92/1.03  
% 2.92/1.03  **** run 37 fork 4 starts with strategy
% 2.92/1.03  {"sine":1,"var_weight":70,"repeat_var_weight":70,"query_preference":0,"strategy":["negative_pref","max_weight"],"max_dseconds":1}
% 2.92/1.03  
% 2.92/1.03  **** run 40 fork 7 starts with strategy
% 2.92/1.03  {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"max_depth":6,"var_weight":1}
% 2.92/1.04  
% 2.92/1.04  fork 1: search finished without proof.
% 2.92/1.04  
% 2.92/1.04  **** run 38 fork 5 starts with strategy
% 2.92/1.04  {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"rewrite":0}
% 2.92/1.06  
% 2.92/1.06  **** run 42 fork 1 starts with strategy
% 2.92/1.06  {"weight_select_ratio":100,"var_weight":70,"repeat_var_weight":70,"rewrite":0,"query_preference":0,"strategy":["query_focus","posunitpara"],"max_dseconds":1}
% 2.92/1.06  
% 2.92/1.06  fork 0: search finished without proof.
% 2.92/1.08  
% 2.92/1.08  
% 2.92/1.08  fork 6: search terminated without proof.
% 2.92/1.08  
% 2.92/1.08  fork 2: search finished without proof.
% 2.92/1.08  
% 2.92/1.08  **** run 33 fork 0 starts with strategy
% 2.92/1.08  {"max_dseconds":1,"strategy":["negative_pref","prohibit_nested_para"],"query_preference":0}
% 2.92/1.10  
% 2.92/1.10  **** run 47 fork 6 starts with strategy
% 2.92/1.10  {"depth_penalty":100,"query_preference":0,"strategy":["unit","posunitpara"],"max_dseconds":1}
% 2.92/1.10  
% 2.92/1.10  **** run 43 fork 2 starts with strategy
% 2.92/1.10  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0,"max_depth":2}
% 5.88/1.16  
% 5.88/1.16  
% 5.88/1.16  fork 3: search terminated without proof.
% 5.88/1.16  
% 5.88/1.16  fork 7: search finished without proof.
% 5.88/1.16  
% 5.88/1.16  fork 4: search finished without proof.
% 5.88/1.17  
% 5.88/1.17  fork 5: search finished without proof.
% 5.88/1.19  
% 5.88/1.19  **** run 45 fork 4 starts with strategy
% 5.88/1.19  {"var_weight":70,"repeat_var_weight":70,"rewrite":0,"length_penalty":100,"depth_penalty":100,"query_preference":0,"strategy":["hardness_pref","max_weight"],"max_dseconds":1}
% 5.88/1.19  
% 5.88/1.19  **** run 48 fork 7 starts with strategy
% 5.88/1.19  {"max_dseconds":1,"strategy":["hardness_pref","posunitpara"],"query_preference":0,"depth_penalty":50,"length_penalty":100}
% 5.88/1.19  
% 5.88/1.19  **** run 44 fork 3 starts with strategy
% 5.88/1.19  {"max_dseconds":1,"strategy":["hardness_pref"],"query_preference":0,"weight_select_ratio":1,"depth_penalty":50,"length_penalty":100,"sine":2}
% 5.88/1.19  
% 5.88/1.19  **** run 46 fork 5 starts with strategy
% 5.88/1.19  {"max_depth":0,"depth_penalty":100,"query_preference":0,"strategy":["unit","posunitpara"],"max_dseconds":1}
% 5.88/1.19  
% 5.88/1.19  
% 5.88/1.19  fork 1: search terminated without proof.
% 6.65/1.21  
% 6.65/1.21  **** run 50 fork 1 starts with strategy
% 6.65/1.21  {"max_dseconds":1,"strategy":["hardness_pref","max_ground_weight"],"query_preference":0}
% 6.65/1.22  
% 6.65/1.22  
% 6.65/1.22  fork 0: search terminated without proof.
% 6.65/1.23  
% 6.65/1.23  fork 2: search finished without proof.
% 6.65/1.24  
% 6.65/1.24  
% 6.65/1.24  fork 6: search terminated without proof.
% 6.65/1.24  
% 6.65/1.24  **** run 41 fork 0 starts with strategy
% 6.65/1.24  {"var_weight":70,"repeat_var_weight":70,"depth_penalty":50,"query_preference":0,"strategy":["hardness_pref"],"max_dseconds":1}
% 6.65/1.25  
% 6.65/1.25  **** run 51 fork 2 starts with strategy
% 6.65/1.25  {"max_dseconds":1,"strategy":["positive_pref"],"query_preference":0,"reverse_clauselist":1}
% 6.65/1.26  
% 6.65/1.26  **** run 55 fork 6 starts with strategy
% 6.65/1.26  {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"max_depth":4}
% 7.25/1.32  
% 7.25/1.32  fork 3: search finished without proof.
% 7.25/1.32  
% 7.25/1.32  
% 7.25/1.32  fork 4: search terminated without proof.
% 7.25/1.32  
% 7.25/1.32  
% 7.25/1.32  fork 7: search terminated without proof.
% 7.25/1.33  
% 7.25/1.33  
% 7.25/1.33  fork 5: search terminated without proof.
% 7.25/1.33  
% 7.25/1.33  **** run 52 fork 3 starts with strategy
% 7.25/1.33  {"var_weight":70,"repeat_var_weight":70,"query_preference":0,"strategy":["positive_pref"],"max_dseconds":1}
% 7.25/1.35  
% 7.25/1.35  **** run 53 fork 4 starts with strategy
% 7.25/1.35  
% 7.25/1.35  
% 7.25/1.35  fork 1: search terminated without proof.
% 7.25/1.35  {"length_penalty":100,"depth_penalty":100,"query_preference":0,"strategy":["negative_pref","hornpref","max_weight"],"max_dseconds":1}
% 7.25/1.35  
% 7.25/1.35  **** run 56 fork 7 starts with strategy
% 7.25/1.35  {"sine":2,"query_preference":0,"strategy":["unit"],"max_dseconds":1}
% 7.25/1.35  
% 7.25/1.35  **** run 54 fork 5 starts with strategy
% 7.25/1.35  {"sine":1,"var_weight":70,"repeat_var_weight":70,"rewrite":0,"depth_penalty":50,"query_preference":0,"strategy":["hardness_pref"],"max_dseconds":1}
% 7.25/1.37  
% 7.25/1.37  **** run 58 fork 1 starts with strategy
% 7.25/1.37  {"max_dseconds":10,"strategy":["unit","pure_unit"],"max_size":30,"max_depth":10,"max_weight":300,"weight_select_ratio":1,"rewrite":0}
% 7.95/1.38  
% 7.95/1.38  
% 7.95/1.38  fork 0: search terminated without proof.
% 7.95/1.38  
% 7.95/1.38  
% 7.95/1.38  fork 2: search terminated without proof.
% 7.98/1.39  
% 7.98/1.39  fork 6: search finished without proof.
% 8.17/1.40  
% 8.17/1.40  **** run 49 fork 0 starts with strategy
% 8.17/1.40  {"weight_select_ratio":100,"query_preference":0,"strategy":["negative_pref","max_weight"],"max_dseconds":1}
% 8.17/1.41  
% 8.17/1.41  **** run 59 fork 2 starts with strategy
% 8.17/1.41  {"max_dseconds":10,"strategy":["negative_pref"],"query_preference":0,"sine":5}
% 8.17/1.42  
% 8.17/1.42  fork 1: search finished without proof.
% 8.28/1.42  
% 8.28/1.42  **** run 63 fork 6 starts with strategy
% 8.28/1.42  {"max_dseconds":10,"strategy":["unit","prohibit_unordered_para","prohibit_deep_para"],"query_preference":1}
% 8.28/1.44  
% 8.28/1.44  **** run 66 fork 1 starts with strategy
% 8.28/1.44  {"max_dseconds":10,"strategy":["negative_pref","prohibit_nested_para","prohibit_unordered_para","prohibit_deep_para"],"query_preference":0}
% 8.28/1.46  
% 8.28/1.46  
% 8.28/1.46  fork 3: search terminated without proof.
% 8.28/1.48  
% 8.28/1.48  fork 7: search finished without proof.
% 8.28/1.48  
% 8.28/1.48  
% 8.28/1.48  fork 4: search terminated without proof.
% 8.28/1.49  
% 8.28/1.49  **** run 60 fork 3 starts with strategy
% 8.28/1.49  {"max_dseconds":10,"strategy":["unit","prohibit_unordered_para"],"query_preference":1}
% 8.28/1.49  
% 8.28/1.49  
% 8.28/1.49  fork 5: search terminated without proof.
% 8.28/1.50  
% 8.28/1.50  **** run 64 fork 7 starts with strategy
% 8.28/1.50  {"max_dseconds":10,"strategy":["negative_pref","prohibit_unordered_para","prohibit_deep_para"],"query_preference":1}
% 8.28/1.51  
% 8.28/1.51  **** run 61 fork 4 starts with strategy
% 8.28/1.51  {"max_dseconds":10,"strategy":["hardness_pref","prohibit_unordered_para"],"query_preference":1}
% 9.02/1.52  
% 9.02/1.52  **** run 62 fork 5 starts with strategy
% 9.02/1.52  {"max_dseconds":10,"strategy":["unit","prohibit_unordered_para","prohibit_deep_para"],"query_preference":0}
% 9.02/1.54  
% 9.02/1.54  
% 9.02/1.54  fork 0: search terminated without proof.
% 9.02/1.56  
% 9.02/1.56  **** run 57 fork 0 starts with strategy
% 9.02/1.57  {"weight_select_ratio":100,"rewrite":0,"depth_penalty":100,"query_preference":0,"strategy":["unit","posunitpara"],"max_dseconds":1}
% 9.65/1.75  
% 9.65/1.75  
% 9.65/1.75  fork 0: search terminated without proof.
% 9.65/1.79  
% 9.65/1.79  **** run 65 fork 0 starts with strategy
% 9.65/1.81  {"max_dseconds":10,"strategy":["unit","prohibit_nested_para","prohibit_deep_para","prohibit_unordered_para"],"query_preference":0}
% 14.19/2.26  
% 14.19/2.26  
% 14.19/2.26  result: proof found
% 14.19/2.26  for /export/starexec/sandbox/benchmark/theBenchmark.p 
% 14.19/2.26  by run 60 fork 3 strategy {"max_dseconds":10,"strategy":["unit","prohibit_unordered_para"],"query_preference":1}
% 14.19/2.26  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p 
% 14.19/2.26  
% 14.19/2.26  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p 
% See solution above
% 14.19/2.26  
% 14.19/2.26  run 60 fork 3 statistics:
% 14.19/2.26  ----------------------------------
% 14.19/2.26  this run seconds: 0.449717
% 14.19/2.26  total seconds: 1.587784
% 14.19/2.26  stat_given_used: 2490
% 14.19/2.26  stat_given_used_at_endgame: 0
% 14.19/2.26  stat_given_candidates:   19246
% 14.19/2.26  stat_given_candidates_at_endgame: 0
% 14.19/2.26  stat_given_candidates_h: 0
% 14.19/2.26  stat_binres_derived_cl:   1424
% 14.19/2.26  stat_binres_derived_cl_h: 0
% 14.19/2.26  stat_factor_derived_cl: 0
% 14.19/2.26  stat_para_derived_cl: 22341
% 14.19/2.26  stat_tautologies_discarded: 429
% 14.19/2.26  stat_forward_subsumed: 7790
% 14.19/2.26  stat_derived_cut: 3195
% 14.19/2.26  stat_derived_rewritten: 3122
% 14.19/2.26  stat_weight_discarded_building: 0
% 14.19/2.26  stat_weight_discarded_cl: 0
% 14.19/2.26  stat_internlimit_discarded_cl: 0
% 14.19/2.26  stat_simplified:  3423 simplified 0 derived 0 given
% 14.19/2.26  stat_kept_cl: 15000
% 14.19/2.26  stat_built_cl: 23402
% 14.19/2.26  stat_hyperres_partial_cl: 0
% 14.19/2.26  stat_made_rewriters: 66
% 14.19/2.26  stat_backward_subsumed: 0
% 14.19/2.26  stat_propagated_subsumed: 0
% 14.19/2.26  stat_clsubs_attempted:                     24979
% 14.19/2.26  stat_clsubs_fact_groundunit_found:            39
% 14.19/2.26  stat_clsubs_rule_groundunit_found:           481
% 14.19/2.26  stat_clsubs_top_meta_attempted:            7399081
% 14.19/2.26  stat_clsubs_top_meta_failed:               7374102
% 14.19/2.26  stat_clsubs_top_meta_nonpref_attempted:             7399081
% 14.19/2.26  stat_clsubs_top_meta_nonpref_succeeded:             3044603
% 14.19/2.26  stat_clsubs_top_meta_pref_attempted:                3044603
% 14.19/2.26  stat_clsubs_top_meta_pref1_succeeded:                892739
% 14.19/2.26  stat_clsubs_top_meta_pref2_succeeded:                 58636
% 14.19/2.26  stat_clsubs_top_meta_pref3_succeeded:                 24979
% 14.19/2.26  stat_clsubs_top_meta_pref_succeeded:                  24979
% 14.19/2.26  stat_clsubs_meta_attempted:                61952
% 14.19/2.26  stat_clsubs_meta_failed:                   38923
% 14.19/2.26  stat_clsubs_predsymbs_attempted:               0
% 14.19/2.26  stat_clsubs_unit_attempted:                    0
% 14.19/2.26  stat_clsubs_full_attempted:                24979
% 14.19/2.26  stat_forwardsubs_attempted:                22790
% 14.19/2.26  stat_lit_hash_added:                  13492
% 14.19/2.26  stat_lit_hash_computed:              167600
% 14.19/2.26  stat_lit_hash_match_found:            24866
% 14.19/2.26  stat_lit_hash_match_miss:            205962
% 14.19/2.26  stat_lit_hash_cut_ok:                  6522
% 14.19/2.26  stat_lit_strong_cut_ok:                   0
% 14.19/2.26  stat_lit_hash_subsume_ok:              7790
% 14.19/2.26  clqueue els 10000000 used 1
% 14.19/2.26  clactive els 10000000 used 2491
% 14.19/2.26  clactivesubsume els 10000000 used 12625
% 14.19/2.26  queue_termbuf els 200000000 used 2090184
% 14.19/2.26  hyper_termbuf els 100000000 used 1
% 14.19/2.26  active_termbuf els 100000000 used 109073
% 14.19/2.26  varstack els 5000 last used 1
% 14.19/2.26  given_termbuf els 10000000 last used 1
% 14.19/2.26  simplified_termbuf els 10000000 last used 1
% 14.19/2.26  derived_termbuf els 10000000 last used 3
% 14.19/2.26  wr_mallocs: 44074
% 14.19/2.26  wr_callocs: 21
% 14.19/2.26  wr_reallocs: 2289
% 14.19/2.26  wr_frees: 4
% 14.19/2.26  wr_malloc_bytes: 4164042116
% 14.19/2.26  wr_calloc_bytes: 112065536
% 14.19/2.26  wr_realloc_bytes: 959616
% 14.19/2.26  wr_realloc_freebytes: 0
% 14.19/2.26  ----------------------------------
%------------------------------------------------------------------------------