TSTP Solution File: ALG138+1 by GKC---0.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : GKC---0.8
% Problem  : ALG138+1 : TPTP v8.1.2. Released v2.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : gkc %s

% Computer : n024.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 16:27:59 EDT 2023

% Result   : Unsatisfiable 0.19s 0.47s
% Output   : CNFRefutation 0.19s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named input)

% Comments : 
%------------------------------------------------------------------------------
fof('ax1_$sk',plain,
    ( ( op(e3,e3) = e3
      | op(e3,e3) = e2
      | op(e3,e3) = e1
      | op(e3,e3) = e0 )
    & ( op(e3,e2) = e3
      | op(e3,e2) = e2
      | op(e3,e2) = e1
      | op(e3,e2) = e0 )
    & ( op(e3,e1) = e3
      | op(e3,e1) = e2
      | op(e3,e1) = e1
      | op(e3,e1) = e0 )
    & ( op(e3,e0) = e3
      | op(e3,e0) = e2
      | op(e3,e0) = e1
      | op(e3,e0) = e0 )
    & ( op(e2,e3) = e3
      | op(e2,e3) = e2
      | op(e2,e3) = e1
      | op(e2,e3) = e0 )
    & ( op(e2,e2) = e3
      | op(e2,e2) = e2
      | op(e2,e2) = e1
      | op(e2,e2) = e0 )
    & ( op(e2,e1) = e3
      | op(e2,e1) = e2
      | op(e2,e1) = e1
      | op(e2,e1) = e0 )
    & ( op(e2,e0) = e3
      | op(e2,e0) = e2
      | op(e2,e0) = e1
      | op(e2,e0) = e0 )
    & ( op(e1,e3) = e3
      | op(e1,e3) = e2
      | op(e1,e3) = e1
      | op(e1,e3) = e0 )
    & ( op(e1,e2) = e3
      | op(e1,e2) = e2
      | op(e1,e2) = e1
      | op(e1,e2) = e0 )
    & ( op(e1,e1) = e3
      | op(e1,e1) = e2
      | op(e1,e1) = e1
      | op(e1,e1) = e0 )
    & ( op(e1,e0) = e3
      | op(e1,e0) = e2
      | op(e1,e0) = e1
      | op(e1,e0) = e0 )
    & ( op(e0,e3) = e3
      | op(e0,e3) = e2
      | op(e0,e3) = e1
      | op(e0,e3) = e0 )
    & ( op(e0,e2) = e3
      | op(e0,e2) = e2
      | op(e0,e2) = e1
      | op(e0,e2) = e0 )
    & ( op(e0,e1) = e3
      | op(e0,e1) = e2
      | op(e0,e1) = e1
      | op(e0,e1) = e0 )
    & ( op(e0,e0) = e3
      | op(e0,e0) = e2
      | op(e0,e0) = e1
      | op(e0,e0) = e0 ) ),
    inference(negpush_and_skolemize,[],[ax1]) ).

fof(ax1,axiom,
    ( ( op(e0,e0) = e0
      | op(e0,e0) = e1
      | op(e0,e0) = e2
      | op(e0,e0) = e3 )
    & ( op(e0,e1) = e0
      | op(e0,e1) = e1
      | op(e0,e1) = e2
      | op(e0,e1) = e3 )
    & ( op(e0,e2) = e0
      | op(e0,e2) = e1
      | op(e0,e2) = e2
      | op(e0,e2) = e3 )
    & ( op(e0,e3) = e0
      | op(e0,e3) = e1
      | op(e0,e3) = e2
      | op(e0,e3) = e3 )
    & ( op(e1,e0) = e0
      | op(e1,e0) = e1
      | op(e1,e0) = e2
      | op(e1,e0) = e3 )
    & ( op(e1,e1) = e0
      | op(e1,e1) = e1
      | op(e1,e1) = e2
      | op(e1,e1) = e3 )
    & ( op(e1,e2) = e0
      | op(e1,e2) = e1
      | op(e1,e2) = e2
      | op(e1,e2) = e3 )
    & ( op(e1,e3) = e0
      | op(e1,e3) = e1
      | op(e1,e3) = e2
      | op(e1,e3) = e3 )
    & ( op(e2,e0) = e0
      | op(e2,e0) = e1
      | op(e2,e0) = e2
      | op(e2,e0) = e3 )
    & ( op(e2,e1) = e0
      | op(e2,e1) = e1
      | op(e2,e1) = e2
      | op(e2,e1) = e3 )
    & ( op(e2,e2) = e0
      | op(e2,e2) = e1
      | op(e2,e2) = e2
      | op(e2,e2) = e3 )
    & ( op(e2,e3) = e0
      | op(e2,e3) = e1
      | op(e2,e3) = e2
      | op(e2,e3) = e3 )
    & ( op(e3,e0) = e0
      | op(e3,e0) = e1
      | op(e3,e0) = e2
      | op(e3,e0) = e3 )
    & ( op(e3,e1) = e0
      | op(e3,e1) = e1
      | op(e3,e1) = e2
      | op(e3,e1) = e3 )
    & ( op(e3,e2) = e0
      | op(e3,e2) = e1
      | op(e3,e2) = e2
      | op(e3,e2) = e3 )
    & ( op(e3,e3) = e0
      | op(e3,e3) = e1
      | op(e3,e3) = e2
      | op(e3,e3) = e3 ) ),
    input ).

fof('ax3_$sk',plain,
    ( op(e3,e2) != op(e3,e3)
    & op(e3,e1) != op(e3,e3)
    & op(e3,e1) != op(e3,e2)
    & op(e3,e0) != op(e3,e3)
    & op(e3,e0) != op(e3,e2)
    & op(e3,e0) != op(e3,e1)
    & op(e2,e2) != op(e2,e3)
    & op(e2,e1) != op(e2,e3)
    & op(e2,e1) != op(e2,e2)
    & op(e2,e0) != op(e2,e3)
    & op(e2,e0) != op(e2,e2)
    & op(e2,e0) != op(e2,e1)
    & op(e1,e2) != op(e1,e3)
    & op(e1,e1) != op(e1,e3)
    & op(e1,e1) != op(e1,e2)
    & op(e1,e0) != op(e1,e3)
    & op(e1,e0) != op(e1,e2)
    & op(e1,e0) != op(e1,e1)
    & op(e0,e2) != op(e0,e3)
    & op(e0,e1) != op(e0,e3)
    & op(e0,e1) != op(e0,e2)
    & op(e0,e0) != op(e0,e3)
    & op(e0,e0) != op(e0,e2)
    & op(e0,e0) != op(e0,e1)
    & op(e2,e3) != op(e3,e3)
    & op(e1,e3) != op(e3,e3)
    & op(e1,e3) != op(e2,e3)
    & op(e0,e3) != op(e3,e3)
    & op(e0,e3) != op(e2,e3)
    & op(e0,e3) != op(e1,e3)
    & op(e2,e2) != op(e3,e2)
    & op(e1,e2) != op(e3,e2)
    & op(e1,e2) != op(e2,e2)
    & op(e0,e2) != op(e3,e2)
    & op(e0,e2) != op(e2,e2)
    & op(e0,e2) != op(e1,e2)
    & op(e2,e1) != op(e3,e1)
    & op(e1,e1) != op(e3,e1)
    & op(e1,e1) != op(e2,e1)
    & op(e0,e1) != op(e3,e1)
    & op(e0,e1) != op(e2,e1)
    & op(e0,e1) != op(e1,e1)
    & op(e2,e0) != op(e3,e0)
    & op(e1,e0) != op(e3,e0)
    & op(e1,e0) != op(e2,e0)
    & op(e0,e0) != op(e3,e0)
    & op(e0,e0) != op(e2,e0)
    & op(e0,e0) != op(e1,e0) ),
    inference(negpush_and_skolemize,[],[ax3]) ).

fof(ax3,axiom,
    ( op(e0,e0) != op(e1,e0)
    & op(e0,e0) != op(e2,e0)
    & op(e0,e0) != op(e3,e0)
    & op(e1,e0) != op(e2,e0)
    & op(e1,e0) != op(e3,e0)
    & op(e2,e0) != op(e3,e0)
    & op(e0,e1) != op(e1,e1)
    & op(e0,e1) != op(e2,e1)
    & op(e0,e1) != op(e3,e1)
    & op(e1,e1) != op(e2,e1)
    & op(e1,e1) != op(e3,e1)
    & op(e2,e1) != op(e3,e1)
    & op(e0,e2) != op(e1,e2)
    & op(e0,e2) != op(e2,e2)
    & op(e0,e2) != op(e3,e2)
    & op(e1,e2) != op(e2,e2)
    & op(e1,e2) != op(e3,e2)
    & op(e2,e2) != op(e3,e2)
    & op(e0,e3) != op(e1,e3)
    & op(e0,e3) != op(e2,e3)
    & op(e0,e3) != op(e3,e3)
    & op(e1,e3) != op(e2,e3)
    & op(e1,e3) != op(e3,e3)
    & op(e2,e3) != op(e3,e3)
    & op(e0,e0) != op(e0,e1)
    & op(e0,e0) != op(e0,e2)
    & op(e0,e0) != op(e0,e3)
    & op(e0,e1) != op(e0,e2)
    & op(e0,e1) != op(e0,e3)
    & op(e0,e2) != op(e0,e3)
    & op(e1,e0) != op(e1,e1)
    & op(e1,e0) != op(e1,e2)
    & op(e1,e0) != op(e1,e3)
    & op(e1,e1) != op(e1,e2)
    & op(e1,e1) != op(e1,e3)
    & op(e1,e2) != op(e1,e3)
    & op(e2,e0) != op(e2,e1)
    & op(e2,e0) != op(e2,e2)
    & op(e2,e0) != op(e2,e3)
    & op(e2,e1) != op(e2,e2)
    & op(e2,e1) != op(e2,e3)
    & op(e2,e2) != op(e2,e3)
    & op(e3,e0) != op(e3,e1)
    & op(e3,e0) != op(e3,e2)
    & op(e3,e0) != op(e3,e3)
    & op(e3,e1) != op(e3,e2)
    & op(e3,e1) != op(e3,e3)
    & op(e3,e2) != op(e3,e3) ),
    input ).

fof('ax5_$sk',plain,
    ( op(e3,e3) = e3
    & op(e2,e2) = e2
    & op(e1,e1) = e1
    & op(e0,e0) = e0 ),
    inference(negpush_and_skolemize,[],[ax5]) ).

fof(ax5,axiom,
    ( op(e0,e0) = e0
    & op(e1,e1) = e1
    & op(e2,e2) = e2
    & op(e3,e3) = e3 ),
    input ).

fof('ax2_$sk',plain,
    ( ( op(e3,e3) = e3
      | op(e2,e3) = e3
      | op(e1,e3) = e3
      | op(e0,e3) = e3 )
    & ( op(e3,e3) = e3
      | op(e3,e2) = e3
      | op(e3,e1) = e3
      | op(e3,e0) = e3 )
    & ( op(e3,e3) = e2
      | op(e2,e3) = e2
      | op(e1,e3) = e2
      | op(e0,e3) = e2 )
    & ( op(e3,e3) = e2
      | op(e3,e2) = e2
      | op(e3,e1) = e2
      | op(e3,e0) = e2 )
    & ( op(e3,e3) = e1
      | op(e2,e3) = e1
      | op(e1,e3) = e1
      | op(e0,e3) = e1 )
    & ( op(e3,e3) = e1
      | op(e3,e2) = e1
      | op(e3,e1) = e1
      | op(e3,e0) = e1 )
    & ( op(e3,e3) = e0
      | op(e2,e3) = e0
      | op(e1,e3) = e0
      | op(e0,e3) = e0 )
    & ( op(e3,e3) = e0
      | op(e3,e2) = e0
      | op(e3,e1) = e0
      | op(e3,e0) = e0 )
    & ( op(e3,e2) = e3
      | op(e2,e2) = e3
      | op(e1,e2) = e3
      | op(e0,e2) = e3 )
    & ( op(e2,e3) = e3
      | op(e2,e2) = e3
      | op(e2,e1) = e3
      | op(e2,e0) = e3 )
    & ( op(e3,e2) = e2
      | op(e2,e2) = e2
      | op(e1,e2) = e2
      | op(e0,e2) = e2 )
    & ( op(e2,e3) = e2
      | op(e2,e2) = e2
      | op(e2,e1) = e2
      | op(e2,e0) = e2 )
    & ( op(e3,e2) = e1
      | op(e2,e2) = e1
      | op(e1,e2) = e1
      | op(e0,e2) = e1 )
    & ( op(e2,e3) = e1
      | op(e2,e2) = e1
      | op(e2,e1) = e1
      | op(e2,e0) = e1 )
    & ( op(e3,e2) = e0
      | op(e2,e2) = e0
      | op(e1,e2) = e0
      | op(e0,e2) = e0 )
    & ( op(e2,e3) = e0
      | op(e2,e2) = e0
      | op(e2,e1) = e0
      | op(e2,e0) = e0 )
    & ( op(e3,e1) = e3
      | op(e2,e1) = e3
      | op(e1,e1) = e3
      | op(e0,e1) = e3 )
    & ( op(e1,e3) = e3
      | op(e1,e2) = e3
      | op(e1,e1) = e3
      | op(e1,e0) = e3 )
    & ( op(e3,e1) = e2
      | op(e2,e1) = e2
      | op(e1,e1) = e2
      | op(e0,e1) = e2 )
    & ( op(e1,e3) = e2
      | op(e1,e2) = e2
      | op(e1,e1) = e2
      | op(e1,e0) = e2 )
    & ( op(e3,e1) = e1
      | op(e2,e1) = e1
      | op(e1,e1) = e1
      | op(e0,e1) = e1 )
    & ( op(e1,e3) = e1
      | op(e1,e2) = e1
      | op(e1,e1) = e1
      | op(e1,e0) = e1 )
    & ( op(e3,e1) = e0
      | op(e2,e1) = e0
      | op(e1,e1) = e0
      | op(e0,e1) = e0 )
    & ( op(e1,e3) = e0
      | op(e1,e2) = e0
      | op(e1,e1) = e0
      | op(e1,e0) = e0 )
    & ( op(e3,e0) = e3
      | op(e2,e0) = e3
      | op(e1,e0) = e3
      | op(e0,e0) = e3 )
    & ( op(e0,e3) = e3
      | op(e0,e2) = e3
      | op(e0,e1) = e3
      | op(e0,e0) = e3 )
    & ( op(e3,e0) = e2
      | op(e2,e0) = e2
      | op(e1,e0) = e2
      | op(e0,e0) = e2 )
    & ( op(e0,e3) = e2
      | op(e0,e2) = e2
      | op(e0,e1) = e2
      | op(e0,e0) = e2 )
    & ( op(e3,e0) = e1
      | op(e2,e0) = e1
      | op(e1,e0) = e1
      | op(e0,e0) = e1 )
    & ( op(e0,e3) = e1
      | op(e0,e2) = e1
      | op(e0,e1) = e1
      | op(e0,e0) = e1 )
    & ( op(e3,e0) = e0
      | op(e2,e0) = e0
      | op(e1,e0) = e0
      | op(e0,e0) = e0 )
    & ( op(e0,e3) = e0
      | op(e0,e2) = e0
      | op(e0,e1) = e0
      | op(e0,e0) = e0 ) ),
    inference(negpush_and_skolemize,[],[ax2]) ).

fof(ax2,axiom,
    ( ( op(e0,e0) = e0
      | op(e0,e1) = e0
      | op(e0,e2) = e0
      | op(e0,e3) = e0 )
    & ( op(e0,e0) = e0
      | op(e1,e0) = e0
      | op(e2,e0) = e0
      | op(e3,e0) = e0 )
    & ( op(e0,e0) = e1
      | op(e0,e1) = e1
      | op(e0,e2) = e1
      | op(e0,e3) = e1 )
    & ( op(e0,e0) = e1
      | op(e1,e0) = e1
      | op(e2,e0) = e1
      | op(e3,e0) = e1 )
    & ( op(e0,e0) = e2
      | op(e0,e1) = e2
      | op(e0,e2) = e2
      | op(e0,e3) = e2 )
    & ( op(e0,e0) = e2
      | op(e1,e0) = e2
      | op(e2,e0) = e2
      | op(e3,e0) = e2 )
    & ( op(e0,e0) = e3
      | op(e0,e1) = e3
      | op(e0,e2) = e3
      | op(e0,e3) = e3 )
    & ( op(e0,e0) = e3
      | op(e1,e0) = e3
      | op(e2,e0) = e3
      | op(e3,e0) = e3 )
    & ( op(e1,e0) = e0
      | op(e1,e1) = e0
      | op(e1,e2) = e0
      | op(e1,e3) = e0 )
    & ( op(e0,e1) = e0
      | op(e1,e1) = e0
      | op(e2,e1) = e0
      | op(e3,e1) = e0 )
    & ( op(e1,e0) = e1
      | op(e1,e1) = e1
      | op(e1,e2) = e1
      | op(e1,e3) = e1 )
    & ( op(e0,e1) = e1
      | op(e1,e1) = e1
      | op(e2,e1) = e1
      | op(e3,e1) = e1 )
    & ( op(e1,e0) = e2
      | op(e1,e1) = e2
      | op(e1,e2) = e2
      | op(e1,e3) = e2 )
    & ( op(e0,e1) = e2
      | op(e1,e1) = e2
      | op(e2,e1) = e2
      | op(e3,e1) = e2 )
    & ( op(e1,e0) = e3
      | op(e1,e1) = e3
      | op(e1,e2) = e3
      | op(e1,e3) = e3 )
    & ( op(e0,e1) = e3
      | op(e1,e1) = e3
      | op(e2,e1) = e3
      | op(e3,e1) = e3 )
    & ( op(e2,e0) = e0
      | op(e2,e1) = e0
      | op(e2,e2) = e0
      | op(e2,e3) = e0 )
    & ( op(e0,e2) = e0
      | op(e1,e2) = e0
      | op(e2,e2) = e0
      | op(e3,e2) = e0 )
    & ( op(e2,e0) = e1
      | op(e2,e1) = e1
      | op(e2,e2) = e1
      | op(e2,e3) = e1 )
    & ( op(e0,e2) = e1
      | op(e1,e2) = e1
      | op(e2,e2) = e1
      | op(e3,e2) = e1 )
    & ( op(e2,e0) = e2
      | op(e2,e1) = e2
      | op(e2,e2) = e2
      | op(e2,e3) = e2 )
    & ( op(e0,e2) = e2
      | op(e1,e2) = e2
      | op(e2,e2) = e2
      | op(e3,e2) = e2 )
    & ( op(e2,e0) = e3
      | op(e2,e1) = e3
      | op(e2,e2) = e3
      | op(e2,e3) = e3 )
    & ( op(e0,e2) = e3
      | op(e1,e2) = e3
      | op(e2,e2) = e3
      | op(e3,e2) = e3 )
    & ( op(e3,e0) = e0
      | op(e3,e1) = e0
      | op(e3,e2) = e0
      | op(e3,e3) = e0 )
    & ( op(e0,e3) = e0
      | op(e1,e3) = e0
      | op(e2,e3) = e0
      | op(e3,e3) = e0 )
    & ( op(e3,e0) = e1
      | op(e3,e1) = e1
      | op(e3,e2) = e1
      | op(e3,e3) = e1 )
    & ( op(e0,e3) = e1
      | op(e1,e3) = e1
      | op(e2,e3) = e1
      | op(e3,e3) = e1 )
    & ( op(e3,e0) = e2
      | op(e3,e1) = e2
      | op(e3,e2) = e2
      | op(e3,e3) = e2 )
    & ( op(e0,e3) = e2
      | op(e1,e3) = e2
      | op(e2,e3) = e2
      | op(e3,e3) = e2 )
    & ( op(e3,e0) = e3
      | op(e3,e1) = e3
      | op(e3,e2) = e3
      | op(e3,e3) = e3 )
    & ( op(e0,e3) = e3
      | op(e1,e3) = e3
      | op(e2,e3) = e3
      | op(e3,e3) = e3 ) ),
    input ).

fof('ax4_$sk',plain,
    ( e2 != e3
    & e1 != e3
    & e1 != e2
    & e0 != e3
    & e0 != e2
    & e0 != e1 ),
    inference(negpush_and_skolemize,[],[ax4]) ).

fof(ax4,axiom,
    ( e0 != e1
    & e0 != e2
    & e0 != e3
    & e1 != e2
    & e1 != e3
    & e2 != e3 ),
    input ).

fof('ax9_$sk',plain,
    ( e2 != op(op(e3,e1),e1)
    | e0 != op(e3,e1) ),
    inference(negpush_and_skolemize,[],[ax9]) ).

fof(ax9,axiom,
    ~ ( e0 = op(e3,e1)
      & e2 = op(op(e3,e1),e1) ),
    input ).

fof('ax15_$sk',plain,
    ( e2 != op(op(e3,e0),e0)
    | e1 != op(e3,e0) ),
    inference(negpush_and_skolemize,[],[ax15]) ).

fof(ax15,axiom,
    ~ ( e1 = op(e3,e0)
      & e2 = op(op(e3,e0),e0) ),
    input ).

fof('ax7_$sk',plain,
    ( e1 != op(op(e3,e2),e2)
    | e0 != op(e3,e2) ),
    inference(negpush_and_skolemize,[],[ax7]) ).

fof(ax7,axiom,
    ~ ( e0 = op(e3,e2)
      & e1 = op(op(e3,e2),e2) ),
    input ).

fof('ax26_$sk',plain,
    ( e1 != op(op(e0,e2),e2)
    | e3 != op(e0,e2) ),
    inference(negpush_and_skolemize,[],[ax26]) ).

fof(ax26,axiom,
    ~ ( e3 = op(e0,e2)
      & e1 = op(op(e0,e2),e2) ),
    input ).

cnf('1',plain,
    ( op(e1,e0) = e3
    | op(e1,e0) = e2
    | op(e1,e0) = e1
    | op(e1,e0) = e0 ),
    inference(cnf_transformation,[],['ax1_$sk']) ).

cnf('2',plain,
    op(e0,e0) != op(e1,e0),
    inference(cnf_transformation,[],['ax3_$sk']) ).

cnf('3',plain,
    op(e0,e0) = e0,
    inference(cnf_transformation,[],['ax5_$sk']) ).

cnf('4',plain,
    e0 != op(e1,e0),
    inference(simplify,[],['2','3']) ).

cnf('5',plain,
    ( op(e1,e0) = e3
    | op(e1,e0) = e2
    | op(e1,e0) = e1 ),
    inference(paramodulation,[],['1','4']) ).

cnf('6',plain,
    op(e1,e0) != op(e1,e1),
    inference(cnf_transformation,[],['ax3_$sk']) ).

cnf('7',plain,
    op(e1,e1) = e1,
    inference(cnf_transformation,[],['ax5_$sk']) ).

cnf('8',plain,
    op(e1,e0) != e1,
    inference(simplify,[],['6','7']) ).

cnf('9',plain,
    ( op(e1,e0) = e3
    | op(e1,e0) = e2 ),
    inference(resolution,[],['5','8']) ).

cnf('10',plain,
    ( op(e3,e0) = e1
    | op(e2,e0) = e1
    | op(e1,e0) = e1
    | op(e0,e0) = e1 ),
    inference(cnf_transformation,[],['ax2_$sk']) ).

cnf('11',plain,
    e0 != e1,
    inference(cnf_transformation,[],['ax4_$sk']) ).

cnf('12',plain,
    ( op(e3,e0) = e1
    | op(e2,e0) = e1
    | op(e1,e0) = e1 ),
    inference(simplify,[then_simplify],['10','11','3']) ).

cnf('13',plain,
    ( op(e3,e0) = e1
    | op(e2,e0) = e1 ),
    inference(resolution,[],['12','8']) ).

cnf('14',plain,
    ( op(e2,e3) = e3
    | op(e2,e2) = e3
    | op(e2,e1) = e3
    | op(e2,e0) = e3 ),
    inference(cnf_transformation,[],['ax2_$sk']) ).

cnf('15',plain,
    e2 != e3,
    inference(cnf_transformation,[],['ax4_$sk']) ).

cnf('16',plain,
    op(e2,e2) = e2,
    inference(cnf_transformation,[],['ax5_$sk']) ).

cnf('17',plain,
    ( op(e2,e3) = e3
    | op(e2,e1) = e3
    | op(e2,e0) = e3 ),
    inference(simplify,[then_simplify],['14','15','16']) ).

cnf('18',plain,
    e1 != e3,
    inference(cnf_transformation,[],['ax4_$sk']) ).

cnf('19',plain,
    ( op(e2,e3) = e3
    | op(e2,e1) = e3
    | op(e3,e0) = e1 ),
    inference(paramodulation,[then_simplify],['13','17','18']) ).

cnf('20',plain,
    ( op(e0,e1) = e3
    | op(e0,e1) = e2
    | op(e0,e1) = e1
    | op(e0,e1) = e0 ),
    inference(cnf_transformation,[],['ax1_$sk']) ).

cnf('21',plain,
    op(e0,e0) != op(e0,e1),
    inference(cnf_transformation,[],['ax3_$sk']) ).

cnf('22',plain,
    e0 != op(e0,e1),
    inference(simplify,[],['21','3']) ).

cnf('23',plain,
    ( op(e0,e1) = e3
    | op(e0,e1) = e2
    | op(e0,e1) = e1 ),
    inference(paramodulation,[],['20','22']) ).

cnf('24',plain,
    op(e0,e1) != op(e1,e1),
    inference(cnf_transformation,[],['ax3_$sk']) ).

cnf('25',plain,
    op(e0,e1) != e1,
    inference(simplify,[],['24','7']) ).

cnf('26',plain,
    ( op(e0,e1) = e3
    | op(e0,e1) = e2 ),
    inference(resolution,[],['23','25']) ).

cnf('27',plain,
    ( op(e3,e3) = e0
    | op(e3,e2) = e0
    | op(e3,e1) = e0
    | op(e3,e0) = e0 ),
    inference(cnf_transformation,[],['ax2_$sk']) ).

cnf('28',plain,
    op(e3,e3) = e3,
    inference(cnf_transformation,[],['ax5_$sk']) ).

cnf('29',plain,
    ( e3 = e0
    | op(e3,e2) = e0
    | op(e3,e1) = e0
    | op(e3,e0) = e0 ),
    inference(simplify,[],['27','28']) ).

cnf('30',plain,
    op(e0,e0) != op(e3,e0),
    inference(cnf_transformation,[],['ax3_$sk']) ).

cnf('31',plain,
    e0 != op(e3,e0),
    inference(simplify,[],['30','3']) ).

cnf('32',plain,
    ( op(e3,e2) = e0
    | op(e3,e1) = e0
    | e3 = e0 ),
    inference(paramodulation,[],['29','31']) ).

cnf('33',plain,
    ( e2 != op(op(e3,e1),e1)
    | e0 != op(e3,e1) ),
    inference(cnf_transformation,[],['ax9_$sk']) ).

cnf('34',plain,
    ( e0 != op(e3,e1)
    | e2 != op(e0,e1)
    | op(e3,e2) = e0
    | e3 = e0 ),
    inference(paramodulation,[],['32','33']) ).

cnf('35',plain,
    ( e2 != op(e0,e1)
    | op(e3,e2) = e0
    | e3 = e0 ),
    inference(paramodulation,[],['32','34']) ).

cnf('36',plain,
    ( op(e3,e2) = e0
    | op(e0,e1) = e3
    | e3 = e0 ),
    inference(paramodulation,[],['26','35']) ).

cnf('37',plain,
    op(e0,e1) != op(e2,e1),
    inference(cnf_transformation,[],['ax3_$sk']) ).

cnf('38',plain,
    ( e3 != op(e2,e1)
    | op(e3,e2) = e0
    | e3 = e0 ),
    inference(paramodulation,[],['36','37']) ).

cnf('39',plain,
    ( op(e2,e3) = e3
    | op(e3,e2) = e0
    | op(e3,e0) = e1
    | e3 = e0 ),
    inference(paramodulation,[],['19','38']) ).

cnf('40',plain,
    op(e2,e3) != op(e3,e3),
    inference(cnf_transformation,[],['ax3_$sk']) ).

cnf('41',plain,
    op(e2,e3) != e3,
    inference(simplify,[],['40','28']) ).

cnf('42',plain,
    ( op(e3,e2) = e0
    | op(e3,e0) = e1
    | e3 = e0 ),
    inference(resolution,[],['39','41']) ).

cnf('43',plain,
    ( e2 != op(op(e3,e0),e0)
    | e1 != op(e3,e0) ),
    inference(cnf_transformation,[],['ax15_$sk']) ).

cnf('44',plain,
    ( e1 != op(e3,e0)
    | e2 != op(e1,e0)
    | op(e3,e2) = e0
    | e3 = e0 ),
    inference(paramodulation,[],['42','43']) ).

cnf('45',plain,
    ( e2 != op(e1,e0)
    | op(e3,e2) = e0
    | e3 = e0 ),
    inference(paramodulation,[],['42','44']) ).

cnf('46',plain,
    ( op(e3,e2) = e0
    | op(e1,e0) = e3
    | e3 = e0 ),
    inference(paramodulation,[],['9','45']) ).

cnf('47',plain,
    ( op(e2,e0) = e3
    | op(e2,e0) = e2
    | op(e2,e0) = e1
    | op(e2,e0) = e0 ),
    inference(cnf_transformation,[],['ax1_$sk']) ).

cnf('48',plain,
    op(e0,e0) != op(e2,e0),
    inference(cnf_transformation,[],['ax3_$sk']) ).

cnf('49',plain,
    e0 != op(e2,e0),
    inference(simplify,[],['48','3']) ).

cnf('50',plain,
    ( op(e2,e0) = e3
    | op(e2,e0) = e2
    | op(e2,e0) = e1 ),
    inference(paramodulation,[],['47','49']) ).

cnf('51',plain,
    op(e2,e0) != op(e3,e0),
    inference(cnf_transformation,[],['ax3_$sk']) ).

cnf('52',plain,
    ( e1 != op(e3,e0)
    | op(e2,e0) = e3
    | op(e2,e0) = e2 ),
    inference(paramodulation,[],['50','51']) ).

cnf('53',plain,
    ( op(e2,e0) = e3
    | op(e3,e2) = e0
    | op(e2,e0) = e2
    | e3 = e0 ),
    inference(paramodulation,[],['42','52']) ).

cnf('54',plain,
    op(e2,e0) != op(e2,e2),
    inference(cnf_transformation,[],['ax3_$sk']) ).

cnf('55',plain,
    op(e2,e0) != e2,
    inference(simplify,[],['54','16']) ).

cnf('56',plain,
    ( op(e2,e0) = e3
    | op(e3,e2) = e0
    | e3 = e0 ),
    inference(resolution,[],['53','55']) ).

cnf('57',plain,
    op(e1,e0) != op(e2,e0),
    inference(cnf_transformation,[],['ax3_$sk']) ).

cnf('58',plain,
    ( op(e1,e0) != e3
    | op(e3,e2) = e0
    | e3 = e0 ),
    inference(paramodulation,[],['56','57']) ).

cnf('59',plain,
    ( op(e3,e2) = e0
    | e3 = e0 ),
    inference(resolution,[],['46','58']) ).

cnf('60',plain,
    ( op(e1,e3) = e0
    | op(e1,e2) = e0
    | op(e1,e1) = e0
    | op(e1,e0) = e0 ),
    inference(cnf_transformation,[],['ax2_$sk']) ).

cnf('61',plain,
    ( op(e1,e3) = e0
    | op(e1,e2) = e0
    | e1 = e0
    | op(e1,e0) = e0 ),
    inference(simplify,[],['60','7']) ).

cnf('62',plain,
    ( op(e1,e3) = e0
    | op(e1,e2) = e0
    | e1 = e0 ),
    inference(paramodulation,[],['61','4']) ).

cnf('63',plain,
    op(e1,e2) != op(e3,e2),
    inference(cnf_transformation,[],['ax3_$sk']) ).

cnf('64',plain,
    ( e0 != op(e3,e2)
    | op(e1,e3) = e0
    | e1 = e0 ),
    inference(paramodulation,[],['62','63']) ).

cnf('65',plain,
    ( op(e1,e3) = e0
    | e3 = e0
    | e1 = e0 ),
    inference(paramodulation,[],['59','64']) ).

cnf('66',plain,
    ( op(e0,e2) = e3
    | op(e0,e2) = e2
    | op(e0,e2) = e1
    | op(e0,e2) = e0 ),
    inference(cnf_transformation,[],['ax1_$sk']) ).

cnf('67',plain,
    op(e0,e0) != op(e0,e2),
    inference(cnf_transformation,[],['ax3_$sk']) ).

cnf('68',plain,
    e0 != op(e0,e2),
    inference(simplify,[],['67','3']) ).

cnf('69',plain,
    ( op(e0,e2) = e3
    | op(e0,e2) = e2
    | op(e0,e2) = e1 ),
    inference(paramodulation,[],['66','68']) ).

cnf('70',plain,
    ( e1 != op(op(e3,e2),e2)
    | e0 != op(e3,e2) ),
    inference(cnf_transformation,[],['ax7_$sk']) ).

cnf('71',plain,
    ( e0 != op(e3,e2)
    | e1 != op(e0,e2)
    | e3 = e0 ),
    inference(paramodulation,[],['59','70']) ).

cnf('72',plain,
    ( e1 != op(e0,e2)
    | e3 = e0 ),
    inference(paramodulation,[],['59','71']) ).

cnf('73',plain,
    ( op(e0,e2) = e3
    | op(e0,e2) = e2
    | e3 = e0 ),
    inference(paramodulation,[],['69','72']) ).

cnf('74',plain,
    op(e0,e2) != op(e2,e2),
    inference(cnf_transformation,[],['ax3_$sk']) ).

cnf('75',plain,
    op(e0,e2) != e2,
    inference(simplify,[],['74','16']) ).

cnf('76',plain,
    ( op(e0,e2) = e3
    | e3 = e0 ),
    inference(resolution,[],['73','75']) ).

cnf('77',plain,
    op(e0,e1) != op(e0,e2),
    inference(cnf_transformation,[],['ax3_$sk']) ).

cnf('78',plain,
    ( op(e0,e1) != e3
    | e3 = e0 ),
    inference(paramodulation,[],['76','77']) ).

cnf('79',plain,
    ( op(e3,e3) = e2
    | op(e2,e3) = e2
    | op(e1,e3) = e2
    | op(e0,e3) = e2 ),
    inference(cnf_transformation,[],['ax2_$sk']) ).

cnf('80',plain,
    ( e3 = e2
    | op(e2,e3) = e2
    | op(e1,e3) = e2
    | op(e0,e3) = e2 ),
    inference(simplify,[],['79','28']) ).

cnf('81',plain,
    op(e0,e1) != op(e0,e3),
    inference(cnf_transformation,[],['ax3_$sk']) ).

cnf('82',plain,
    ( e2 != op(e0,e3)
    | op(e0,e1) = e3 ),
    inference(paramodulation,[],['26','81']) ).

cnf('83',plain,
    ( op(e2,e3) = e2
    | op(e1,e3) = e2
    | op(e0,e1) = e3
    | e3 = e2 ),
    inference(paramodulation,[],['80','82']) ).

cnf('84',plain,
    ( e3 = e0
    | op(e2,e3) = e2
    | op(e1,e3) = e2
    | e3 = e2 ),
    inference(resolution,[],['78','83']) ).

cnf('85',plain,
    ( e3 != e2
    | e3 = e0 ),
    inference(paramodulation,[],['76','75']) ).

cnf('86',plain,
    ( op(e2,e3) = e2
    | op(e1,e3) = e2
    | e3 = e0 ),
    inference(simplify,[],['84','85']) ).

cnf('87',plain,
    e0 != e2,
    inference(cnf_transformation,[],['ax4_$sk']) ).

cnf('88',plain,
    ( op(e2,e3) = e2
    | e3 = e0
    | e1 = e0 ),
    inference(paramodulation,[then_simplify],['65','86','87']) ).

cnf('89',plain,
    op(e2,e2) != op(e2,e3),
    inference(cnf_transformation,[],['ax3_$sk']) ).

cnf('90',plain,
    e2 != op(e2,e3),
    inference(simplify,[],['89','16']) ).

cnf('91',plain,
    ( e3 = e0
    | e1 = e0 ),
    inference(paramodulation,[],['88','90']) ).

cnf('92',plain,
    ( e1 != op(op(e0,e2),e2)
    | e3 != op(e0,e2) ),
    inference(cnf_transformation,[],['ax26_$sk']) ).

cnf('93',plain,
    ( e1 != op(e3,e2)
    | e3 != op(e0,e2)
    | e3 = e0 ),
    inference(paramodulation,[],['76','92']) ).

cnf('94',plain,
    ( e3 != op(e0,e2)
    | e1 != e0
    | e3 = e0 ),
    inference(paramodulation,[],['59','93']) ).

cnf('95',plain,
    ( e1 != e0
    | e3 = e0 ),
    inference(paramodulation,[],['76','94']) ).

cnf('96',plain,
    e3 = e0,
    inference(resolution,[],['91','95']) ).

cnf('97',plain,
    op(e0,e2) != op(e3,e2),
    inference(cnf_transformation,[],['ax3_$sk']) ).

cnf('98',plain,
    $false,
    inference(paramodulation,[],['96','97']) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12  % Problem  : ALG138+1 : TPTP v8.1.2. Released v2.7.0.
% 0.08/0.13  % Command  : gkc %s
% 0.13/0.33  % Computer : n024.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 300
% 0.13/0.33  % DateTime : Mon Aug 28 04:01:23 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.19/0.38  
% 0.19/0.38  input clause set summed statistics:
% 0.19/0.38  ----------------------------------
% 0.19/0.38  in_clause_count:                   130
% 0.19/0.38  in_rule_clause_count:              130
% 0.19/0.38  in_fact_clause_count:                0
% 0.19/0.38  in_answer_clause_count:              0
% 0.19/0.38  in_ground_clause_count:            130
% 0.19/0.38  in_unit_clause_count:               58
% 0.19/0.38  in_horn_clause_count:               82
% 0.19/0.38  in_pos_clause_count:                52
% 0.19/0.38  in_neg_clause_count:                78
% 0.19/0.38  in_poseq_clause_count:              52
% 0.19/0.38  in_negeq_clause_count:              78
% 0.19/0.38  in_unitposeq_clause_count:           4
% 0.19/0.38  in_chain_clause_count:               0
% 0.19/0.38  in_min_length:             1
% 0.19/0.38  in_max_length:             4
% 0.19/0.38  in_min_depth:              1
% 0.19/0.38  in_max_depth:              3
% 0.19/0.38  in_min_size:               3
% 0.19/0.38  in_max_size:              20
% 0.19/0.38  in_min_vars:               0
% 0.19/0.38  in_max_vars:               0
% 0.19/0.38  in_extaxiom_count:                 0
% 0.19/0.38  in_axiom_count:                  130
% 0.19/0.38  in_assumption_count:               0
% 0.19/0.38  in_goal_count:                     0
% 0.19/0.38  in_neg_goal_count:                 0
% 0.19/0.38  in_pos_goal_count:                 0
% 0.19/0.38  in_posunit_goal_count:             0
% 0.19/0.38  
% 0.19/0.38  auto guide:
% 0.19/0.38  -----------
% 0.19/0.38  {
% 0.19/0.38  "print":1,
% 0.19/0.38  "print_level": 15,
% 0.19/0.38  "max_size": 0,
% 0.19/0.38  "max_depth": 0,
% 0.19/0.38  "max_length": 0,
% 0.19/0.38  "max_dseconds": 0,
% 0.19/0.38  "runs":[
% 0.19/0.38  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0},
% 0.19/0.38  {"max_dseconds":1, "sine":3, "strategy":["hardness_pref"], "query_preference":0},
% 0.19/0.38  {"max_dseconds":1, "sine":5, "strategy":["hardness_pref"], "query_preference":0},
% 0.19/0.38  {"max_dseconds":1, "sine":5, "strategy":["negative_pref"], "query_preference":0},
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% 0.19/0.38  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.19/0.38  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":1, "sine":1},
% 0.19/0.38  {"max_dseconds":50, "strategy":["query_focus", "posunitpara"], "query_preference":1, "depth_penalty":50, "length_penalty":100, "sine":1},
% 0.19/0.38  {"max_dseconds":50, "strategy":["query_focus", "max_ground_weight"], "query_preference":1},
% 0.19/0.38  {"max_dseconds":50, "strategy":["query_focus"], "query_preference":1, "rewrite":0},
% 0.19/0.38  {"max_dseconds":50, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.19/0.38  {"max_dseconds":50, "strategy":["positive_pref"], "query_preference":0},
% 0.19/0.38  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0, "max_depth":4},
% 0.19/0.38  {"max_dseconds":50, "sine":5, "strategy":["negative_pref"], "query_preference":0, "max_depth":4},
% 0.19/0.38  {"max_dseconds":50, "strategy":["unit", "prohibit_nested_para"], "query_preference":1, "reverse_clauselist":1},
% 0.19/0.38  {"max_dseconds":50, "strategy":["query_focus", "unit"], "query_preference":2},
% 0.19/0.38  {"max_dseconds":50, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.19/0.38  {"max_dseconds":50, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1, "length_penalty":100},
% 0.19/0.38  {"max_dseconds":50, "strategy":["negative_pref", "prohibit_nested_para"], "query_preference":0},
% 0.19/0.38  {"max_dseconds":50, "strategy":["unit", "pure_unit"], "query_preference":0},
% 0.19/0.38  {"sine":1, "var_weight":70, "repeat_var_weight":70, "length_penalty":100, "query_preference":2, "strategy":["unit"], "max_dseconds":50},
% 0.19/0.38  {"sine":1, "var_weight":70, "repeat_var_weight":70, "length_penalty":100, "query_preference":2, "strategy":["unit"], "max_depth":2, "max_dseconds":50},
% 0.19/0.38  {"max_dseconds":50, "strategy":["query_focus", "double"], "query_preference":1},
% 0.19/0.38  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0, "depth_penalty":100, "sine":1},
% 0.19/0.38  {"max_dseconds":50, "strategy":["query_focus"], "query_preference":2, "sine":1},
% 0.19/0.38  {"max_dseconds":50, "strategy":["query_focus", "unit"], "query_preference":0, "sine":2},
% 0.19/0.38  {"depth_penalty":50, "query_preference":2, "strategy":["negative_pref"], "max_dseconds":50},
% 0.19/0.38  {"sine":1, "var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["negative_pref", "max_weight"], "max_dseconds":50},
% 0.19/0.38  {"max_dseconds":50, "strategy":["unit"], "query_preference":0, "rewrite":0},
% 0.19/0.38  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0, "sine":1},
% 0.19/0.38  {"max_dseconds":50, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.19/0.38  {"max_dseconds":50, "strategy":["query_focus"], "query_preference":1, "sine":1},
% 0.19/0.38  {"max_dseconds":50, "strategy":["unit", "pure_unit"], "weight_select_ratio":1, "query_preference":0},
% 0.19/0.38  {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "query_preference":0, "strategy":["query_focus", "posunitpara"], "max_dseconds":50},
% 0.19/0.38  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0, "max_depth":2},
% 0.19/0.38  {"max_dseconds":50, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100, "sine":2},
% 0.19/0.38  {"sine":1, "var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":1, "strategy":["query_focus", "max_weight"], "max_dseconds":50},
% 0.19/0.38  {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "query_preference":1, "strategy":["query_focus", "max_weight"], "max_dseconds":50},
% 0.19/0.38  {"weight_select_ratio":100, "query_preference":0, "strategy":["negative_pref", "max_weight"], "max_dseconds":50},
% 0.19/0.38  {"sine":1, "rewrite":0, "length_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":50},
% 0.19/0.38  {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":50},
% 0.19/0.38  {"var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":1, "strategy":["positive_pref", "unit"], "max_dseconds":50},
% 0.19/0.38  {"var_weight":70, "repeat_var_weight":70, "length_penalty":100, "depth_penalty":100, "query_preference":1, "strategy":["positive_pref", "unit"], "max_dseconds":50},
% 0.19/0.38  {"max_dseconds":50, "strategy":["hardness_pref", "posunitpara"], "query_preference":1, "sine":1},
% 0.19/0.38  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":1, "equality":0},
% 0.19/0.38  {"max_dseconds":50, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1},
% 0.19/0.38  {"var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["positive_pref"], "max_dseconds":50},
% 0.19/0.38  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.19/0.38  {"max_dseconds":50, "strategy":["query_focus", "posunitpara"], "query_preference":1, "depth_penalty":50, "length_penalty":100},
% 0.19/0.38  {"var_weight":70, "repeat_var_weight":70, "length_penalty":100, "depth_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":50},
% 0.19/0.38  {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "length_penalty":100, "query_preference":1, "strategy":["query_focus", "prohibit_nested_para"], "max_dseconds":50},
% 0.19/0.38  {"query_preference":1, "strategy":["unit", "max_weight"], "max_dseconds":50},
% 0.19/0.38  {"max_dseconds":50, "strategy":["unit"], "query_preference":0, "max_depth":4},
% 0.19/0.38  {"sine":1, "rewrite":0, "depth_penalty":50, "query_preference":2, "strategy":["hardness_pref", "posunitpara"], "max_dseconds":50},
% 0.19/0.38  {"sine":2, "weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "depth_penalty":50, "query_preference":1, "strategy":["query_focus"], "max_dseconds":50},
% 0.19/0.38  {"depth_penalty":50, "query_preference":2, "strategy":["negative_pref"], "max_dseconds":50, "sine":2},
% 0.19/0.38  
% 0.19/0.38  {"max_dseconds":250, "strategy":["hardness_pref"], "query_preference":0},
% 0.19/0.38  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":1, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.19/0.38  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":1},
% 0.19/0.38  {"max_dseconds":250, "strategy":["query_focus"], "query_preference":1},
% 0.19/0.38  {"max_dseconds":250, "strategy":["query_focus"], "query_preference":1, "depth_penalty":100},
% 0.19/0.38  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":0},
% 0.19/0.38  {"max_dseconds":250, "strategy":["unit"], "query_preference":1, "reverse_clauselist":1},
% 0.19/0.38  {"max_dseconds":250, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.19/0.38  {"max_dseconds":250, "strategy":["hardness_pref"], "query_preference":0, "sine":1},
% 0.19/0.38  {"max_dseconds":250, "strategy":["unit"], "query_preference":0},
% 0.19/0.38  {"max_dseconds":250, "strategy":["query_focus", "positive_pref"], "query_preference":0},
% 0.19/0.38  {"max_dseconds":250, "strategy":["query_focus"], "query_preference":1, "sine":2},
% 0.19/0.38  {"max_dseconds":250, "strategy":["unit"], "query_preference":0, "sine":1},
% 0.19/0.38  {"max_dseconds":250, "strategy":["unit"], "query_preference":0, "depth_penalty":100},
% 0.19/0.38  {"max_dseconds":250, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.19/0.38  {"max_dseconds":250, "strategy":["hardness_pref"], "query_preference":0, "rewrite":0},
% 0.19/0.38  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.19/0.38  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":1, "length_penalty":100},
% 0.19/0.38  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":0, "max_depth":3},
% 0.19/0.38  {"max_dseconds":250, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":30, "depth_penalty":100},
% 0.19/0.38  {"max_dseconds":250, "strategy":["negative_pref", "posunitpara"], "query_preference":1, "max_depth":2, "depth_penalty":50, "length_penalty":100},
% 0.19/0.38  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":0, "max_depth":1},
% 0.19/0.38  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":1, "sine":2},
% 0.19/0.38  {"sine":1, "var_weight":70, "repeat_var_weight":70, "query_preference":2, "strategy":["unit"], "max_dseconds":250},
% 0.19/0.38  {"max_dseconds":250, "strategy":["unit"], "query_preference":1, "max_depth":2},
% 0.19/0.38  
% 0.19/0.38  {"max_dseconds":1250, "strategy":["hardness_pref"], "query_preference":0},
% 0.19/0.38  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":1, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.19/0.38  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":1},
% 0.19/0.38  {"max_dseconds":1250, "strategy":["query_focus"], "query_preference":1},
% 0.19/0.38  {"max_dseconds":1250, "strategy":["query_focus"], "query_preference":1, "depth_penalty":100},
% 0.19/0.38  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":0},
% 0.19/0.38  {"max_dseconds":1250, "strategy":["unit"], "query_preference":1, "reverse_clauselist":1},
% 0.19/0.38  {"max_dseconds":1250, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.19/0.38  {"max_dseconds":1250, "strategy":["hardness_pref"], "query_preference":0, "sine":1},
% 0.19/0.38  {"max_dseconds":1250, "strategy":["unit"], "query_preference":0},
% 0.19/0.38  {"max_dseconds":1250, "strategy":["query_focus", "positive_pref"], "query_preference":0},
% 0.19/0.38  {"max_dseconds":1250, "strategy":["query_focus"], "query_preference":1, "sine":2},
% 0.19/0.38  {"max_dseconds":1250, "strategy":["unit"], "query_preference":0, "sine":1},
% 0.19/0.38  {"max_dseconds":1250, "strategy":["unit"], "query_preference":0, "depth_penalty":100},
% 0.19/0.38  {"max_dseconds":1250, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.19/0.38  {"max_dseconds":1250, "strategy":["hardness_pref"], "query_preference":0, "rewrite":0},
% 0.19/0.38  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.19/0.38  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":1, "length_penalty":100},
% 0.19/0.38  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":0, "max_depth":3},
% 0.19/0.38  {"max_dseconds":1250, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":30, "depth_penalty":100},
% 0.19/0.38  {"max_dseconds":1250, "strategy":["negative_pref", "posunitpara"], "query_preference":1, "max_depth":2, "depth_penalty":50, "length_penalty":100},
% 0.19/0.38  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":0, "max_depth":1},
% 0.19/0.38  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":1, "sine":2},
% 0.19/0.38  {"sine":1, "var_weight":70, "repeat_var_weight":70, "query_preference":2, "strategy":["unit"], "max_dseconds":1250},
% 0.19/0.38  {"max_dseconds":1250, "strategy":["unit"], "query_preference":1, "max_depth":2} 
% 0.19/0.38  
% 0.19/0.38  ]}
% 0.19/0.38  
% 0.19/0.38  
% 0.19/0.38  **** run 1 fork 0 starts with strategy
% 0.19/0.38  {"max_dseconds":1,"strategy":["hardness_pref"],"query_preference":0}
% 0.19/0.38  
% 0.19/0.38  **** run 2 fork 1 starts with strategy
% 0.19/0.38  {"max_dseconds":1,"sine":3,"strategy":["hardness_pref"],"query_preference":0}
% 0.19/0.38  
% 0.19/0.38  **** run 3 fork 2 starts with strategy
% 0.19/0.38  {"max_dseconds":1,"sine":5,"strategy":["hardness_pref"],"query_preference":0}
% 0.19/0.38  
% 0.19/0.38  **** run 4 fork 3 starts with strategy
% 0.19/0.38  {"max_dseconds":1,"sine":5,"strategy":["negative_pref"],"query_preference":0}
% 0.19/0.38  
% 0.19/0.38  **** run 5 fork 4 starts with strategy
% 0.19/0.38  {"max_dseconds":1,"strategy":["negative_pref","prohibit_unordered_para"],"query_preference":0}
% 0.19/0.38  
% 0.19/0.38  **** run 6 fork 5 starts with strategy
% 0.19/0.38  {"max_dseconds":1,"strategy":["unit","prohibit_unordered_para"],"query_preference":0}
% 0.19/0.38  
% 0.19/0.38  **** run 7 fork 6 starts with strategy
% 0.19/0.38  {"max_dseconds":1,"strategy":["unit","prohibit_unordered_para"],"query_preference":1}
% 0.19/0.39  
% 0.19/0.39  **** run 8 fork 7 starts with strategy
% 0.19/0.39  {"max_dseconds":1,"strategy":["hardness_pref","prohibit_unordered_para"],"query_preference":1}
% 0.19/0.42  
% 0.19/0.42  fork 1: search finished without proof.
% 0.19/0.42  
% 0.19/0.42  fork 2: search finished without proof.
% 0.19/0.42  
% 0.19/0.42  fork 3: search finished without proof.
% 0.19/0.44  
% 0.19/0.44  **** run 10 fork 1 starts with strategy
% 0.19/0.44  {"max_dseconds":1,"strategy":["hardness_pref","prohibit_unordered_para","prohibit_deep_para"],"query_preference":1}
% 0.19/0.45  
% 0.19/0.45  **** run 11 fork 2 starts with strategy
% 0.19/0.45  {"max_dseconds":1,"strategy":["unit","prohibit_nested_para","prohibit_deep_para","prohibit_unordered_para"],"query_preference":0}
% 0.19/0.45  
% 0.19/0.45  **** run 12 fork 3 starts with strategy
% 0.19/0.45  {"max_dseconds":1,"strategy":["negative_pref","prohibit_nested_para","prohibit_unordered_para","prohibit_deep_para"],"query_preference":0}
% 0.19/0.47  
% 0.19/0.47  
% 0.19/0.47  result: proof found
% 0.19/0.47  for /export/starexec/sandbox2/benchmark/theBenchmark.p 
% 0.19/0.47  by run 5 fork 4 strategy {"max_dseconds":1,"strategy":["negative_pref","prohibit_unordered_para"],"query_preference":0}
% 0.19/0.47  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p 
% 0.19/0.47  
% 0.19/0.47  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p 
% See solution above
% 0.19/0.47  
% 0.19/0.47  run 5 fork 4 statistics:
% 0.19/0.47  ----------------------------------
% 0.19/0.47  this run seconds: 0.043165
% 0.19/0.47  total seconds: 0.078924
% 0.19/0.47  stat_given_used: 339
% 0.19/0.47  stat_given_used_at_endgame: 0
% 0.19/0.47  stat_given_candidates:   813
% 0.19/0.47  stat_given_candidates_at_endgame: 0
% 0.19/0.47  stat_given_candidates_h: 0
% 0.19/0.47  stat_binres_derived_cl:   117
% 0.19/0.47  stat_binres_derived_cl_h: 0
% 0.19/0.47  stat_factor_derived_cl: 0
% 0.19/0.47  stat_para_derived_cl: 2591
% 0.19/0.47  stat_tautologies_discarded: 143
% 0.19/0.47  stat_forward_subsumed: 587
% 0.19/0.47  stat_derived_cut: 215
% 0.19/0.47  stat_derived_rewritten: 90
% 0.19/0.47  stat_weight_discarded_building: 0
% 0.19/0.47  stat_weight_discarded_cl: 0
% 0.19/0.47  stat_internlimit_discarded_cl: 0
% 0.19/0.47  stat_simplified:  95 simplified 0 derived 0 given
% 0.19/0.47  stat_kept_cl: 1706
% 0.19/0.47  stat_built_cl: 2479
% 0.19/0.47  stat_hyperres_partial_cl: 0
% 0.19/0.47  stat_made_rewriters: 5
% 0.19/0.47  stat_backward_subsumed: 0
% 0.19/0.47  stat_propagated_subsumed: 0
% 0.19/0.47  stat_clsubs_attempted:                      2992
% 0.19/0.47  stat_clsubs_fact_groundunit_found:             0
% 0.19/0.47  stat_clsubs_rule_groundunit_found:           113
% 0.19/0.47  stat_clsubs_top_meta_attempted:              82527
% 0.19/0.47  stat_clsubs_top_meta_failed:                 79535
% 0.19/0.47  stat_clsubs_top_meta_nonpref_attempted:               82527
% 0.19/0.47  stat_clsubs_top_meta_nonpref_succeeded:               20198
% 0.19/0.47  stat_clsubs_top_meta_pref_attempted:                  20198
% 0.19/0.47  stat_clsubs_top_meta_pref1_succeeded:                 20198
% 0.19/0.47  stat_clsubs_top_meta_pref2_succeeded:                 10690
% 0.19/0.47  stat_clsubs_top_meta_pref3_succeeded:                  2992
% 0.19/0.47  stat_clsubs_top_meta_pref_succeeded:                   2992
% 0.19/0.47  stat_clsubs_meta_attempted:                 7248
% 0.19/0.47  stat_clsubs_meta_failed:                    4536
% 0.19/0.47  stat_clsubs_predsymbs_attempted:               0
% 0.19/0.47  stat_clsubs_unit_attempted:                    0
% 0.19/0.47  stat_clsubs_full_attempted:                 2992
% 0.19/0.47  stat_forwardsubs_attempted:                 2293
% 0.19/0.47  stat_lit_hash_added:                    355
% 0.19/0.47  stat_lit_hash_computed:               16234
% 0.19/0.47  stat_lit_hash_match_found:              927
% 0.19/0.47  stat_lit_hash_match_miss:             25351
% 0.19/0.47  stat_lit_hash_cut_ok:                   232
% 0.19/0.47  stat_lit_strong_cut_ok:                   0
% 0.19/0.47  stat_lit_hash_subsume_ok:               587
% 0.19/0.47  clqueue els 10000000 used 1
% 0.19/0.47  clactive els 10000000 used 340
% 0.19/0.47  clactivesubsume els 10000000 used 1681
% 0.19/0.47  queue_termbuf els 200000000 used 138182
% 0.19/0.47  hyper_termbuf els 100000000 used 1
% 0.19/0.47  active_termbuf els 100000000 used 14987
% 0.19/0.47  varstack els 5000 last used 1
% 0.19/0.47  given_termbuf els 10000000 last used 1
% 0.19/0.47  simplified_termbuf els 10000000 last used 1
% 0.19/0.47  derived_termbuf els 10000000 last used 36
% 0.19/0.47  wr_mallocs: 2978
% 0.19/0.47  wr_callocs: 21
% 0.19/0.47  wr_reallocs: 138
% 0.19/0.47  wr_frees: 4
% 0.19/0.47  wr_malloc_bytes: 4162692404
% 0.19/0.47  wr_calloc_bytes: 112065536
% 0.19/0.47  wr_realloc_bytes: 53568
% 0.19/0.47  wr_realloc_freebytes: 0
% 0.19/0.47  ----------------------------------
%------------------------------------------------------------------------------