TSTP Solution File: ALG063+1 by GKC---0.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : GKC---0.8
% Problem  : ALG063+1 : TPTP v8.1.2. Released v2.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : gkc %s

% Computer : n032.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 16:27:39 EDT 2023

% Result   : Theorem 16.09s 2.47s
% Output   : CNFRefutation 16.09s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named input)

% Comments : 
%------------------------------------------------------------------------------
fof('ax2_$sk',plain,
    ( ( unit = e4
      | unit = e3
      | unit = e2
      | unit = e1
      | unit = e0 )
    & op(e4,unit) = e4
    & op(unit,e4) = e4
    & op(e3,unit) = e3
    & op(unit,e3) = e3
    & op(e2,unit) = e2
    & op(unit,e2) = e2
    & op(e1,unit) = e1
    & op(unit,e1) = e1
    & op(e0,unit) = e0
    & op(unit,e0) = e0 ),
    inference(negpush_and_skolemize,[],[ax2]) ).

fof(ax2,axiom,
    ( op(unit,e0) = e0
    & op(e0,unit) = e0
    & op(unit,e1) = e1
    & op(e1,unit) = e1
    & op(unit,e2) = e2
    & op(e2,unit) = e2
    & op(unit,e3) = e3
    & op(e3,unit) = e3
    & op(unit,e4) = e4
    & op(e4,unit) = e4
    & ( unit = e0
      | unit = e1
      | unit = e2
      | unit = e3
      | unit = e4 ) ),
    input ).

fof('co1_$sk',plain,
    ( ( ( op(e4,e4) != e4
        & op(e4,e4) = e4
        & op(e4,e4) = e4 )
      | ( op(e4,e3) != e4
        & op(e3,e3) = e4
        & op(e4,e4) = e3 )
      | ( op(e4,e2) != e4
        & op(e2,e2) = e4
        & op(e4,e4) = e2 )
      | ( op(e4,e1) != e4
        & op(e1,e1) = e4
        & op(e4,e4) = e1 )
      | ( op(e4,e0) != e4
        & op(e0,e0) = e4
        & op(e4,e4) = e0 )
      | ( op(e3,e4) != e3
        & op(e4,e4) = e3
        & op(e3,e3) = e4 )
      | ( op(e3,e3) != e3
        & op(e3,e3) = e3
        & op(e3,e3) = e3 )
      | ( op(e3,e2) != e3
        & op(e2,e2) = e3
        & op(e3,e3) = e2 )
      | ( op(e3,e1) != e3
        & op(e1,e1) = e3
        & op(e3,e3) = e1 )
      | ( op(e3,e0) != e3
        & op(e0,e0) = e3
        & op(e3,e3) = e0 )
      | ( op(e2,e4) != e2
        & op(e4,e4) = e2
        & op(e2,e2) = e4 )
      | ( op(e2,e3) != e2
        & op(e3,e3) = e2
        & op(e2,e2) = e3 )
      | ( op(e2,e2) != e2
        & op(e2,e2) = e2
        & op(e2,e2) = e2 )
      | ( op(e2,e1) != e2
        & op(e1,e1) = e2
        & op(e2,e2) = e1 )
      | ( op(e2,e0) != e2
        & op(e0,e0) = e2
        & op(e2,e2) = e0 )
      | ( op(e1,e4) != e1
        & op(e4,e4) = e1
        & op(e1,e1) = e4 )
      | ( op(e1,e3) != e1
        & op(e3,e3) = e1
        & op(e1,e1) = e3 )
      | ( op(e1,e2) != e1
        & op(e2,e2) = e1
        & op(e1,e1) = e2 )
      | ( op(e1,e1) != e1
        & op(e1,e1) = e1
        & op(e1,e1) = e1 )
      | ( op(e1,e0) != e1
        & op(e0,e0) = e1
        & op(e1,e1) = e0 )
      | ( op(e0,e4) != e0
        & op(e4,e4) = e0
        & op(e0,e0) = e4 )
      | ( op(e0,e3) != e0
        & op(e3,e3) = e0
        & op(e0,e0) = e3 )
      | ( op(e0,e2) != e0
        & op(e2,e2) = e0
        & op(e0,e0) = e2 )
      | ( op(e0,e1) != e0
        & op(e1,e1) = e0
        & op(e0,e0) = e1 )
      | ( op(e0,e0) != e0
        & op(e0,e0) = e0
        & op(e0,e0) = e0 ) )
    & ( op(e4,e4) = e4
      | op(e3,e3) = e4
      | op(e2,e2) = e4
      | op(e1,e1) = e4
      | op(e0,e0) = e4 )
    & ( op(e4,e4) = e3
      | op(e3,e3) = e3
      | op(e2,e2) = e3
      | op(e1,e1) = e3
      | op(e0,e0) = e3 )
    & ( op(e4,e4) = e2
      | op(e3,e3) = e2
      | op(e2,e2) = e2
      | op(e1,e1) = e2
      | op(e0,e0) = e2 )
    & ( op(e4,e4) = e1
      | op(e3,e3) = e1
      | op(e2,e2) = e1
      | op(e1,e1) = e1
      | op(e0,e0) = e1 )
    & ( op(e4,e4) = e0
      | op(e3,e3) = e0
      | op(e2,e2) = e0
      | op(e1,e1) = e0
      | op(e0,e0) = e0 ) ),
    inference(negpush_and_skolemize,[],[co1]) ).

fof(co1,conjecture,
    ~ ( ( op(e0,e0) = e0
        | op(e1,e1) = e0
        | op(e2,e2) = e0
        | op(e3,e3) = e0
        | op(e4,e4) = e0 )
      & ( op(e0,e0) = e1
        | op(e1,e1) = e1
        | op(e2,e2) = e1
        | op(e3,e3) = e1
        | op(e4,e4) = e1 )
      & ( op(e0,e0) = e2
        | op(e1,e1) = e2
        | op(e2,e2) = e2
        | op(e3,e3) = e2
        | op(e4,e4) = e2 )
      & ( op(e0,e0) = e3
        | op(e1,e1) = e3
        | op(e2,e2) = e3
        | op(e3,e3) = e3
        | op(e4,e4) = e3 )
      & ( op(e0,e0) = e4
        | op(e1,e1) = e4
        | op(e2,e2) = e4
        | op(e3,e3) = e4
        | op(e4,e4) = e4 )
      & ( ( op(e0,e0) = e0
          & op(e0,e0) = e0
          & op(e0,e0) != e0 )
        | ( op(e0,e0) = e1
          & op(e1,e1) = e0
          & op(e0,e1) != e0 )
        | ( op(e0,e0) = e2
          & op(e2,e2) = e0
          & op(e0,e2) != e0 )
        | ( op(e0,e0) = e3
          & op(e3,e3) = e0
          & op(e0,e3) != e0 )
        | ( op(e0,e0) = e4
          & op(e4,e4) = e0
          & op(e0,e4) != e0 )
        | ( op(e1,e1) = e0
          & op(e0,e0) = e1
          & op(e1,e0) != e1 )
        | ( op(e1,e1) = e1
          & op(e1,e1) = e1
          & op(e1,e1) != e1 )
        | ( op(e1,e1) = e2
          & op(e2,e2) = e1
          & op(e1,e2) != e1 )
        | ( op(e1,e1) = e3
          & op(e3,e3) = e1
          & op(e1,e3) != e1 )
        | ( op(e1,e1) = e4
          & op(e4,e4) = e1
          & op(e1,e4) != e1 )
        | ( op(e2,e2) = e0
          & op(e0,e0) = e2
          & op(e2,e0) != e2 )
        | ( op(e2,e2) = e1
          & op(e1,e1) = e2
          & op(e2,e1) != e2 )
        | ( op(e2,e2) = e2
          & op(e2,e2) = e2
          & op(e2,e2) != e2 )
        | ( op(e2,e2) = e3
          & op(e3,e3) = e2
          & op(e2,e3) != e2 )
        | ( op(e2,e2) = e4
          & op(e4,e4) = e2
          & op(e2,e4) != e2 )
        | ( op(e3,e3) = e0
          & op(e0,e0) = e3
          & op(e3,e0) != e3 )
        | ( op(e3,e3) = e1
          & op(e1,e1) = e3
          & op(e3,e1) != e3 )
        | ( op(e3,e3) = e2
          & op(e2,e2) = e3
          & op(e3,e2) != e3 )
        | ( op(e3,e3) = e3
          & op(e3,e3) = e3
          & op(e3,e3) != e3 )
        | ( op(e3,e3) = e4
          & op(e4,e4) = e3
          & op(e3,e4) != e3 )
        | ( op(e4,e4) = e0
          & op(e0,e0) = e4
          & op(e4,e0) != e4 )
        | ( op(e4,e4) = e1
          & op(e1,e1) = e4
          & op(e4,e1) != e4 )
        | ( op(e4,e4) = e2
          & op(e2,e2) = e4
          & op(e4,e2) != e4 )
        | ( op(e4,e4) = e3
          & op(e3,e3) = e4
          & op(e4,e3) != e4 )
        | ( op(e4,e4) = e4
          & op(e4,e4) = e4
          & op(e4,e4) != e4 ) ) ),
    input ).

fof('ax6_$sk',plain,
    ( e4 = op(e1,e1)
    & e3 = op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1)))
    & e2 = op(op(e1,e1),op(e1,e1))
    & e0 = op(e1,op(op(e1,e1),op(e1,e1))) ),
    inference(negpush_and_skolemize,[],[ax6]) ).

fof(ax6,axiom,
    ( e0 = op(e1,op(op(e1,e1),op(e1,e1)))
    & e2 = op(op(e1,e1),op(e1,e1))
    & e3 = op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1)))
    & e4 = op(e1,e1) ),
    input ).

fof('ax4_$sk',plain,
    ( op(e4,e3) != op(e4,e4)
    & op(e4,e2) != op(e4,e4)
    & op(e4,e2) != op(e4,e3)
    & op(e4,e1) != op(e4,e4)
    & op(e4,e1) != op(e4,e3)
    & op(e4,e1) != op(e4,e2)
    & op(e4,e0) != op(e4,e4)
    & op(e4,e0) != op(e4,e3)
    & op(e4,e0) != op(e4,e2)
    & op(e4,e0) != op(e4,e1)
    & op(e3,e3) != op(e3,e4)
    & op(e3,e2) != op(e3,e4)
    & op(e3,e2) != op(e3,e3)
    & op(e3,e1) != op(e3,e4)
    & op(e3,e1) != op(e3,e3)
    & op(e3,e1) != op(e3,e2)
    & op(e3,e0) != op(e3,e4)
    & op(e3,e0) != op(e3,e3)
    & op(e3,e0) != op(e3,e2)
    & op(e3,e0) != op(e3,e1)
    & op(e2,e3) != op(e2,e4)
    & op(e2,e2) != op(e2,e4)
    & op(e2,e2) != op(e2,e3)
    & op(e2,e1) != op(e2,e4)
    & op(e2,e1) != op(e2,e3)
    & op(e2,e1) != op(e2,e2)
    & op(e2,e0) != op(e2,e4)
    & op(e2,e0) != op(e2,e3)
    & op(e2,e0) != op(e2,e2)
    & op(e2,e0) != op(e2,e1)
    & op(e1,e3) != op(e1,e4)
    & op(e1,e2) != op(e1,e4)
    & op(e1,e2) != op(e1,e3)
    & op(e1,e1) != op(e1,e4)
    & op(e1,e1) != op(e1,e3)
    & op(e1,e1) != op(e1,e2)
    & op(e1,e0) != op(e1,e4)
    & op(e1,e0) != op(e1,e3)
    & op(e1,e0) != op(e1,e2)
    & op(e1,e0) != op(e1,e1)
    & op(e0,e3) != op(e0,e4)
    & op(e0,e2) != op(e0,e4)
    & op(e0,e2) != op(e0,e3)
    & op(e0,e1) != op(e0,e4)
    & op(e0,e1) != op(e0,e3)
    & op(e0,e1) != op(e0,e2)
    & op(e0,e0) != op(e0,e4)
    & op(e0,e0) != op(e0,e3)
    & op(e0,e0) != op(e0,e2)
    & op(e0,e0) != op(e0,e1)
    & op(e3,e4) != op(e4,e4)
    & op(e2,e4) != op(e4,e4)
    & op(e2,e4) != op(e3,e4)
    & op(e1,e4) != op(e4,e4)
    & op(e1,e4) != op(e3,e4)
    & op(e1,e4) != op(e2,e4)
    & op(e0,e4) != op(e4,e4)
    & op(e0,e4) != op(e3,e4)
    & op(e0,e4) != op(e2,e4)
    & op(e0,e4) != op(e1,e4)
    & op(e3,e3) != op(e4,e3)
    & op(e2,e3) != op(e4,e3)
    & op(e2,e3) != op(e3,e3)
    & op(e1,e3) != op(e4,e3)
    & op(e1,e3) != op(e3,e3)
    & op(e1,e3) != op(e2,e3)
    & op(e0,e3) != op(e4,e3)
    & op(e0,e3) != op(e3,e3)
    & op(e0,e3) != op(e2,e3)
    & op(e0,e3) != op(e1,e3)
    & op(e3,e2) != op(e4,e2)
    & op(e2,e2) != op(e4,e2)
    & op(e2,e2) != op(e3,e2)
    & op(e1,e2) != op(e4,e2)
    & op(e1,e2) != op(e3,e2)
    & op(e1,e2) != op(e2,e2)
    & op(e0,e2) != op(e4,e2)
    & op(e0,e2) != op(e3,e2)
    & op(e0,e2) != op(e2,e2)
    & op(e0,e2) != op(e1,e2)
    & op(e3,e1) != op(e4,e1)
    & op(e2,e1) != op(e4,e1)
    & op(e2,e1) != op(e3,e1)
    & op(e1,e1) != op(e4,e1)
    & op(e1,e1) != op(e3,e1)
    & op(e1,e1) != op(e2,e1)
    & op(e0,e1) != op(e4,e1)
    & op(e0,e1) != op(e3,e1)
    & op(e0,e1) != op(e2,e1)
    & op(e0,e1) != op(e1,e1)
    & op(e3,e0) != op(e4,e0)
    & op(e2,e0) != op(e4,e0)
    & op(e2,e0) != op(e3,e0)
    & op(e1,e0) != op(e4,e0)
    & op(e1,e0) != op(e3,e0)
    & op(e1,e0) != op(e2,e0)
    & op(e0,e0) != op(e4,e0)
    & op(e0,e0) != op(e3,e0)
    & op(e0,e0) != op(e2,e0)
    & op(e0,e0) != op(e1,e0) ),
    inference(negpush_and_skolemize,[],[ax4]) ).

fof(ax4,axiom,
    ( op(e0,e0) != op(e1,e0)
    & op(e0,e0) != op(e2,e0)
    & op(e0,e0) != op(e3,e0)
    & op(e0,e0) != op(e4,e0)
    & op(e1,e0) != op(e2,e0)
    & op(e1,e0) != op(e3,e0)
    & op(e1,e0) != op(e4,e0)
    & op(e2,e0) != op(e3,e0)
    & op(e2,e0) != op(e4,e0)
    & op(e3,e0) != op(e4,e0)
    & op(e0,e1) != op(e1,e1)
    & op(e0,e1) != op(e2,e1)
    & op(e0,e1) != op(e3,e1)
    & op(e0,e1) != op(e4,e1)
    & op(e1,e1) != op(e2,e1)
    & op(e1,e1) != op(e3,e1)
    & op(e1,e1) != op(e4,e1)
    & op(e2,e1) != op(e3,e1)
    & op(e2,e1) != op(e4,e1)
    & op(e3,e1) != op(e4,e1)
    & op(e0,e2) != op(e1,e2)
    & op(e0,e2) != op(e2,e2)
    & op(e0,e2) != op(e3,e2)
    & op(e0,e2) != op(e4,e2)
    & op(e1,e2) != op(e2,e2)
    & op(e1,e2) != op(e3,e2)
    & op(e1,e2) != op(e4,e2)
    & op(e2,e2) != op(e3,e2)
    & op(e2,e2) != op(e4,e2)
    & op(e3,e2) != op(e4,e2)
    & op(e0,e3) != op(e1,e3)
    & op(e0,e3) != op(e2,e3)
    & op(e0,e3) != op(e3,e3)
    & op(e0,e3) != op(e4,e3)
    & op(e1,e3) != op(e2,e3)
    & op(e1,e3) != op(e3,e3)
    & op(e1,e3) != op(e4,e3)
    & op(e2,e3) != op(e3,e3)
    & op(e2,e3) != op(e4,e3)
    & op(e3,e3) != op(e4,e3)
    & op(e0,e4) != op(e1,e4)
    & op(e0,e4) != op(e2,e4)
    & op(e0,e4) != op(e3,e4)
    & op(e0,e4) != op(e4,e4)
    & op(e1,e4) != op(e2,e4)
    & op(e1,e4) != op(e3,e4)
    & op(e1,e4) != op(e4,e4)
    & op(e2,e4) != op(e3,e4)
    & op(e2,e4) != op(e4,e4)
    & op(e3,e4) != op(e4,e4)
    & op(e0,e0) != op(e0,e1)
    & op(e0,e0) != op(e0,e2)
    & op(e0,e0) != op(e0,e3)
    & op(e0,e0) != op(e0,e4)
    & op(e0,e1) != op(e0,e2)
    & op(e0,e1) != op(e0,e3)
    & op(e0,e1) != op(e0,e4)
    & op(e0,e2) != op(e0,e3)
    & op(e0,e2) != op(e0,e4)
    & op(e0,e3) != op(e0,e4)
    & op(e1,e0) != op(e1,e1)
    & op(e1,e0) != op(e1,e2)
    & op(e1,e0) != op(e1,e3)
    & op(e1,e0) != op(e1,e4)
    & op(e1,e1) != op(e1,e2)
    & op(e1,e1) != op(e1,e3)
    & op(e1,e1) != op(e1,e4)
    & op(e1,e2) != op(e1,e3)
    & op(e1,e2) != op(e1,e4)
    & op(e1,e3) != op(e1,e4)
    & op(e2,e0) != op(e2,e1)
    & op(e2,e0) != op(e2,e2)
    & op(e2,e0) != op(e2,e3)
    & op(e2,e0) != op(e2,e4)
    & op(e2,e1) != op(e2,e2)
    & op(e2,e1) != op(e2,e3)
    & op(e2,e1) != op(e2,e4)
    & op(e2,e2) != op(e2,e3)
    & op(e2,e2) != op(e2,e4)
    & op(e2,e3) != op(e2,e4)
    & op(e3,e0) != op(e3,e1)
    & op(e3,e0) != op(e3,e2)
    & op(e3,e0) != op(e3,e3)
    & op(e3,e0) != op(e3,e4)
    & op(e3,e1) != op(e3,e2)
    & op(e3,e1) != op(e3,e3)
    & op(e3,e1) != op(e3,e4)
    & op(e3,e2) != op(e3,e3)
    & op(e3,e2) != op(e3,e4)
    & op(e3,e3) != op(e3,e4)
    & op(e4,e0) != op(e4,e1)
    & op(e4,e0) != op(e4,e2)
    & op(e4,e0) != op(e4,e3)
    & op(e4,e0) != op(e4,e4)
    & op(e4,e1) != op(e4,e2)
    & op(e4,e1) != op(e4,e3)
    & op(e4,e1) != op(e4,e4)
    & op(e4,e2) != op(e4,e3)
    & op(e4,e2) != op(e4,e4)
    & op(e4,e3) != op(e4,e4) ),
    input ).

fof('ax5_$sk',plain,
    ( e3 != e4
    & e2 != e4
    & e2 != e3
    & e1 != e4
    & e1 != e3
    & e1 != e2
    & e0 != e4
    & e0 != e3
    & e0 != e2
    & e0 != e1 ),
    inference(negpush_and_skolemize,[],[ax5]) ).

fof(ax5,axiom,
    ( e0 != e1
    & e0 != e2
    & e0 != e3
    & e0 != e4
    & e1 != e2
    & e1 != e3
    & e1 != e4
    & e2 != e3
    & e2 != e4
    & e3 != e4 ),
    input ).

cnf('1',plain,
    ( unit = e4
    | unit = e3
    | unit = e2
    | unit = e1
    | unit = e0 ),
    inference(cnf_transformation,[],['ax2_$sk']) ).

cnf('2',plain,
    ( op(e0,e0) != e0
    | ~ $pr($df8) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('3',plain,
    op(e0,unit) = e0,
    inference(cnf_transformation,[],['ax2_$sk']) ).

cnf('4',plain,
    ( ~ $pr($df8)
    | unit = e4
    | unit = e3
    | unit = e2
    | unit = e1 ),
    inference(paramodulation,[then_simplify],['1','2','3']) ).

cnf('5',plain,
    ( op(e1,e1) = e0
    | op(e0,e0) = e0
    | $pr($df8) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('6',plain,
    ( op(e0,e0) != e0
    | op(e1,e1) = e0
    | $pr($df10) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('7',plain,
    ( op(e1,e1) = e0
    | $pr($df8)
    | $pr($df10) ),
    inference(resolution,[],['5','6']) ).

cnf('8',plain,
    e4 = op(e1,e1),
    inference(cnf_transformation,[],['ax6_$sk']) ).

cnf('9',plain,
    ( e4 = e0
    | $pr($df8)
    | $pr($df10) ),
    inference(simplify,[],['7','8']) ).

cnf('10',plain,
    op(e1,e1) != op(e1,e2),
    inference(cnf_transformation,[],['ax4_$sk']) ).

cnf('11',plain,
    e0 = op(e1,op(op(e1,e1),op(e1,e1))),
    inference(cnf_transformation,[],['ax6_$sk']) ).

cnf('12',plain,
    e2 = op(op(e1,e1),op(e1,e1)),
    inference(cnf_transformation,[],['ax6_$sk']) ).

cnf('13',plain,
    e2 = op(e4,e4),
    inference(simplify,[then_simplify],['12','8','8']) ).

cnf('14',plain,
    e0 = op(e1,e2),
    inference(simplify,[then_simplify],['11','8','8','13']) ).

cnf('15',plain,
    e4 != e0,
    inference(simplify,[then_simplify],['10','8','14']) ).

cnf('16',plain,
    ( $pr($df8)
    | $pr($df10) ),
    inference(resolution,[],['9','15']) ).

cnf('17',plain,
    ( ~ $pr($df10)
    | op(e0,e0) = e0 ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('18',plain,
    ( op(e0,e0) = e0
    | $pr($df8) ),
    inference(resolution,[],['16','17']) ).

cnf('19',plain,
    ( op(e0,e0) != e0
    | op(e0,e0) = e1
    | $pr($df9) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('20',plain,
    ( op(e0,e0) = e1
    | op(e0,e0) = e0
    | $pr($df4) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('21',plain,
    ( op(e0,e0) = e1
    | $pr($df4)
    | $pr($df9) ),
    inference(resolution,[],['19','20']) ).

cnf('22',plain,
    e0 != e1,
    inference(cnf_transformation,[],['ax5_$sk']) ).

cnf('23',plain,
    ( $pr($df4)
    | $pr($df8)
    | $pr($df9) ),
    inference(paramodulation,[then_simplify],['18','21','22']) ).

cnf('24',plain,
    ( op(e0,e0) != e0
    | $pr($df3)
    | $pr($df4)
    | $pr($df6) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('25',plain,
    ( op(e0,e0) != e0
    | ~ $pr($df3) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('26',plain,
    ( op(e0,e0) != e0
    | $pr($df4)
    | $pr($df6) ),
    inference(simplify,[],['24','25']) ).

cnf('27',plain,
    ( op(e0,e0) = e1
    | $pr($df4)
    | $pr($df6) ),
    inference(resolution,[],['20','26']) ).

cnf('28',plain,
    ( op(e0,e0) != e1
    | ~ $pr($df9) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('29',plain,
    ( ~ $pr($df9)
    | $pr($df4)
    | $pr($df6) ),
    inference(resolution,[],['27','28']) ).

cnf('30',plain,
    ( $pr($df4)
    | $pr($df8)
    | $pr($df6) ),
    inference(resolution,[],['23','29']) ).

cnf('31',plain,
    ( op(e0,e0) != e0
    | ~ $pr($df4) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('32',plain,
    ( ~ $pr($df4)
    | $pr($df8) ),
    inference(resolution,[],['18','31']) ).

cnf('33',plain,
    ( $pr($df6)
    | $pr($df8) ),
    inference(simplify,[],['30','32']) ).

cnf('34',plain,
    ( unit = e4
    | unit = e3
    | unit = e2
    | unit = e1
    | $pr($df6) ),
    inference(resolution,[],['4','33']) ).

cnf('35',plain,
    op(e1,e0) != op(e1,e2),
    inference(cnf_transformation,[],['ax4_$sk']) ).

cnf('36',plain,
    op(e1,e0) != e0,
    inference(simplify,[],['35','14']) ).

cnf('37',plain,
    op(unit,e0) = e0,
    inference(cnf_transformation,[],['ax2_$sk']) ).

cnf('38',plain,
    ( unit = e4
    | unit = e3
    | unit = e2
    | $pr($df6) ),
    inference(paramodulation,[then_simplify],['34','36','37']) ).

cnf('39',plain,
    op(e0,e2) != op(e1,e2),
    inference(cnf_transformation,[],['ax4_$sk']) ).

cnf('40',plain,
    op(e0,e2) != e0,
    inference(simplify,[],['39','14']) ).

cnf('41',plain,
    ( unit = e4
    | unit = e3
    | $pr($df6) ),
    inference(paramodulation,[then_simplify],['38','40','3']) ).

cnf('42',plain,
    op(e3,unit) = e3,
    inference(cnf_transformation,[],['ax2_$sk']) ).

cnf('43',plain,
    ( op(e3,unit) = unit
    | unit = e4
    | $pr($df6) ),
    inference(paramodulation,[],['41','42']) ).

cnf('44',plain,
    ( e3 = unit
    | unit = e4
    | $pr($df6) ),
    inference(simplify,[],['43','42']) ).

cnf('45',plain,
    op(e4,e2) != op(e4,e4),
    inference(cnf_transformation,[],['ax4_$sk']) ).

cnf('46',plain,
    op(e4,e2) != e2,
    inference(simplify,[],['45','13']) ).

cnf('47',plain,
    op(unit,e2) = e2,
    inference(cnf_transformation,[],['ax2_$sk']) ).

cnf('48',plain,
    ( e3 = unit
    | $pr($df6) ),
    inference(paramodulation,[then_simplify],['44','46','47']) ).

cnf('49',plain,
    ( op(e4,e4) = e0
    | op(e3,e3) = e0
    | op(e2,e2) = e0
    | op(e1,e1) = e0
    | op(e0,e0) = e0 ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('50',plain,
    e3 = op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))),
    inference(cnf_transformation,[],['ax6_$sk']) ).

cnf('51',plain,
    e3 = op(e2,e2),
    inference(simplify,[then_simplify],['50','8','8','13','8','8','13']) ).

cnf('52',plain,
    ( e2 = e0
    | op(e3,e3) = e0
    | e3 = e0
    | e4 = e0
    | op(e0,e0) = e0 ),
    inference(simplify,[then_simplify],['49','13','51','8']) ).

cnf('53',plain,
    ( e2 = e0
    | op(e3,e3) = e0
    | e3 = e0
    | e4 = e0
    | ~ $pr($df8) ),
    inference(resolution,[],['52','2']) ).

cnf('54',plain,
    ( op(e1,e1) != e0
    | ~ $pr($df8) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('55',plain,
    ( e4 != e0
    | ~ $pr($df8) ),
    inference(paramodulation,[],['8','54']) ).

cnf('56',plain,
    ( ~ $pr($df8)
    | op(e3,e3) = e0
    | e3 = e0
    | e2 = e0 ),
    inference(simplify,[],['53','55']) ).

cnf('57',plain,
    ( op(e3,e3) = e0
    | e3 = e0
    | e2 = e0
    | $pr($df6) ),
    inference(resolution,[],['56','33']) ).

cnf('58',plain,
    op(e0,e3) != op(e3,e3),
    inference(cnf_transformation,[],['ax4_$sk']) ).

cnf('59',plain,
    ( op(e0,e3) != e0
    | e3 = e0
    | e2 = e0
    | $pr($df6) ),
    inference(paramodulation,[],['57','58']) ).

cnf('60',plain,
    ( e3 = e0
    | e2 = e0
    | $pr($df6) ),
    inference(paramodulation,[then_simplify],['48','59','3']) ).

cnf('61',plain,
    op(e3,e0) != op(e3,e2),
    inference(cnf_transformation,[],['ax4_$sk']) ).

cnf('62',plain,
    ( e3 = e0
    | $pr($df6) ),
    inference(paramodulation,[],['60','61']) ).

cnf('63',plain,
    op(e3,e0) != op(e3,e3),
    inference(cnf_transformation,[],['ax4_$sk']) ).

cnf('64',plain,
    $pr($df6),
    inference(paramodulation,[],['62','63']) ).

cnf('65',plain,
    ( ~ $pr($df6)
    | op(e0,e0) = e0 ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('66',plain,
    op(e0,e0) = e0,
    inference(resolution,[],['64','65']) ).

cnf('67',plain,
    ( ~ $pr($df78)
    | op(e1,e1) = e3
    | op(e0,e0) = e3
    | $pr($df62)
    | $pr($df61) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('68',plain,
    ( ~ $pr($df78)
    | e4 = e3
    | op(e0,e0) = e3
    | $pr($df62)
    | $pr($df61) ),
    inference(simplify,[],['67','8']) ).

cnf('69',plain,
    ( ~ $pr($df94)
    | op(e4,e4) = e3
    | op(e3,e3) = e3
    | $pr($df78)
    | $pr($df77) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('70',plain,
    e2 != e3,
    inference(cnf_transformation,[],['ax5_$sk']) ).

cnf('71',plain,
    ( ~ $pr($df94)
    | op(e3,e3) = e3
    | $pr($df78)
    | $pr($df77) ),
    inference(simplify,[then_simplify],['69','70','13']) ).

cnf('72',plain,
    ( ~ $pr($df110)
    | op(e4,e4) = e1
    | op(e2,e2) = e4
    | $pr($df94)
    | $pr($df93) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('73',plain,
    e3 != e4,
    inference(cnf_transformation,[],['ax5_$sk']) ).

cnf('74',plain,
    ( ~ $pr($df110)
    | e2 = e1
    | $pr($df94)
    | $pr($df93) ),
    inference(simplify,[then_simplify],['72','73','13','51']) ).

cnf('75',plain,
    ( op(e4,e4) != e4
    | $pr($df110)
    | $pr($df109) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('76',plain,
    ( op(e4,e4) = e4
    | $pr($df110)
    | $pr($df109) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('77',plain,
    ( $pr($df110)
    | $pr($df109) ),
    inference(resolution,[],['75','76']) ).

cnf('78',plain,
    ( e2 = e1
    | $pr($df94)
    | $pr($df93)
    | $pr($df109) ),
    inference(resolution,[],['74','77']) ).

cnf('79',plain,
    op(e3,e1) != op(e3,e2),
    inference(cnf_transformation,[],['ax4_$sk']) ).

cnf('80',plain,
    ( $pr($df94)
    | $pr($df93)
    | $pr($df109) ),
    inference(paramodulation,[],['78','79']) ).

cnf('81',plain,
    ( op(e3,e3) = e3
    | $pr($df93)
    | $pr($df109)
    | $pr($df78)
    | $pr($df77) ),
    inference(resolution,[],['71','80']) ).

cnf('82',plain,
    ( op(e3,e3) != e3
    | ~ $pr($df104) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('83',plain,
    ( $pr($df93)
    | $pr($df109)
    | $pr($df78)
    | $pr($df77)
    | ~ $pr($df104) ),
    inference(resolution,[],['81','82']) ).

cnf('84',plain,
    ( ~ $pr($df104)
    | ~ $pr($df78) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('85',plain,
    ( ~ $pr($df104)
    | $pr($df93)
    | $pr($df109)
    | $pr($df77) ),
    inference(simplify,[],['83','84']) ).

cnf('86',plain,
    ( op(e3,e3) != e3
    | ~ $pr($df94)
    | op(e4,e4) = e3
    | $pr($df78)
    | $pr($df77) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('87',plain,
    ( op(e4,e4) = e3
    | op(e3,e3) = e3
    | $pr($df104)
    | $pr($df78)
    | $pr($df77) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('88',plain,
    ( ~ $pr($df94)
    | op(e4,e4) = e3
    | $pr($df104)
    | $pr($df78)
    | $pr($df77) ),
    inference(resolution,[],['86','87']) ).

cnf('89',plain,
    ( ~ $pr($df94)
    | $pr($df104)
    | $pr($df78)
    | $pr($df77) ),
    inference(simplify,[then_simplify],['88','70','13']) ).

cnf('90',plain,
    ( $pr($df93)
    | $pr($df109)
    | $pr($df104)
    | $pr($df78)
    | $pr($df77) ),
    inference(resolution,[],['80','89']) ).

cnf('91',plain,
    ( $pr($df93)
    | $pr($df109)
    | $pr($df78)
    | $pr($df77) ),
    inference(resolution,[],['85','90']) ).

cnf('92',plain,
    ( ~ $pr($df93)
    | op(e4,e4) = e0 ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('93',plain,
    ( ~ $pr($df93)
    | e2 = e0 ),
    inference(simplify,[],['92','13']) ).

cnf('94',plain,
    ( e2 = e0
    | $pr($df109)
    | $pr($df78)
    | $pr($df77) ),
    inference(resolution,[],['91','93']) ).

cnf('95',plain,
    ( $pr($df109)
    | $pr($df78)
    | $pr($df77) ),
    inference(paramodulation,[],['94','61']) ).

cnf('96',plain,
    ( ~ $pr($df97)
    | ~ $pr($df78)
    | $pr($df96)
    | $pr($df95) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('97',plain,
    ( ~ $pr($df96)
    | ~ $pr($df78) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('98',plain,
    ( ~ $pr($df97)
    | ~ $pr($df78)
    | $pr($df95) ),
    inference(simplify,[],['96','97']) ).

cnf('99',plain,
    ( $pr($df97)
    | $pr($df103)
    | $pr($df100) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('100',plain,
    ( ~ $pr($df78)
    | $pr($df95)
    | $pr($df103)
    | $pr($df100) ),
    inference(resolution,[],['98','99']) ).

cnf('101',plain,
    ( ~ $pr($df95)
    | ~ $pr($df78) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('102',plain,
    ( ~ $pr($df78)
    | $pr($df103)
    | $pr($df100) ),
    inference(simplify,[],['100','101']) ).

cnf('103',plain,
    ( $pr($df109)
    | $pr($df103)
    | $pr($df100)
    | $pr($df77) ),
    inference(resolution,[],['95','102']) ).

cnf('104',plain,
    ( ~ $pr($df103)
    | op(e4,e4) = e3 ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('105',plain,
    ( $pr($df109)
    | $pr($df100)
    | $pr($df77)
    | op(e4,e4) = e3 ),
    inference(resolution,[],['103','104']) ).

cnf('106',plain,
    ( ~ $pr($df109)
    | op(e4,e4) = e3 ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('107',plain,
    ( op(e4,e4) = e3
    | $pr($df100)
    | $pr($df77) ),
    inference(simplify,[],['105','106']) ).

cnf('108',plain,
    ( $pr($df100)
    | $pr($df77) ),
    inference(simplify,[then_simplify],['107','70','13']) ).

cnf('109',plain,
    ( ~ $pr($df100)
    | op(e3,e3) = e3
    | $pr($df99)
    | $pr($df98) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('110',plain,
    ( $pr($df77)
    | op(e3,e3) = e3
    | $pr($df99)
    | $pr($df98) ),
    inference(resolution,[],['108','109']) ).

cnf('111',plain,
    ( ~ $pr($df98)
    | $pr($df77) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('112',plain,
    ( op(e3,e3) = e3
    | $pr($df99)
    | $pr($df77) ),
    inference(simplify,[],['110','111']) ).

cnf('113',plain,
    ( $pr($df99)
    | $pr($df77)
    | ~ $pr($df104) ),
    inference(resolution,[],['112','82']) ).

cnf('114',plain,
    ( ~ $pr($df104)
    | ~ $pr($df77) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('115',plain,
    ( ~ $pr($df104)
    | $pr($df99) ),
    inference(simplify,[],['113','114']) ).

cnf('116',plain,
    ( op(e3,e3) != e3
    | op(e4,e4) = e3
    | $pr($df106)
    | $pr($df78)
    | $pr($df77) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('117',plain,
    ( op(e4,e4) = e3
    | $pr($df106)
    | $pr($df104)
    | $pr($df78)
    | $pr($df77) ),
    inference(resolution,[],['116','87']) ).

cnf('118',plain,
    ( $pr($df106)
    | $pr($df104)
    | $pr($df78)
    | $pr($df77) ),
    inference(simplify,[then_simplify],['117','70','13']) ).

cnf('119',plain,
    ( ~ $pr($df106)
    | op(e3,e3) = e3 ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('120',plain,
    ( op(e3,e3) = e3
    | $pr($df104)
    | $pr($df78)
    | $pr($df77) ),
    inference(resolution,[],['118','119']) ).

cnf('121',plain,
    ( op(e3,e3) = e4
    | op(e3,e3) = e3
    | $pr($df96)
    | $pr($df78)
    | $pr($df77) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('122',plain,
    ( op(e3,e3) != e3
    | ~ $pr($df94)
    | op(e3,e3) = e4
    | $pr($df78)
    | $pr($df77) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('123',plain,
    ( ~ $pr($df94)
    | op(e3,e3) = e4
    | $pr($df96)
    | $pr($df78)
    | $pr($df77) ),
    inference(resolution,[],['121','122']) ).

cnf('124',plain,
    ( $pr($df93)
    | $pr($df109)
    | op(e3,e3) = e4
    | $pr($df96)
    | $pr($df78)
    | $pr($df77) ),
    inference(resolution,[],['80','123']) ).

cnf('125',plain,
    ( ~ $pr($df109)
    | op(e3,e3) = e4 ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('126',plain,
    ( op(e3,e3) = e4
    | $pr($df96)
    | $pr($df93)
    | $pr($df78)
    | $pr($df77) ),
    inference(simplify,[],['124','125']) ).

cnf('127',plain,
    ( $pr($df96)
    | $pr($df93)
    | $pr($df104)
    | $pr($df78)
    | $pr($df77) ),
    inference(paramodulation,[then_simplify],['120','126','73']) ).

cnf('128',plain,
    ( $pr($df99)
    | $pr($df96)
    | $pr($df93)
    | $pr($df78)
    | $pr($df77) ),
    inference(resolution,[],['115','127']) ).

cnf('129',plain,
    ( ~ $pr($df99)
    | $pr($df78) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('130',plain,
    ( $pr($df96)
    | $pr($df93)
    | $pr($df78)
    | $pr($df77) ),
    inference(simplify,[],['128','129']) ).

cnf('131',plain,
    ( op(e3,e3) != e3
    | ~ $pr($df96) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('132',plain,
    ( $pr($df99)
    | $pr($df77)
    | ~ $pr($df96) ),
    inference(resolution,[],['112','131']) ).

cnf('133',plain,
    ( ~ $pr($df99)
    | ~ $pr($df96) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('134',plain,
    ( ~ $pr($df96)
    | $pr($df77) ),
    inference(simplify,[],['132','133']) ).

cnf('135',plain,
    ( $pr($df93)
    | $pr($df78)
    | $pr($df77) ),
    inference(resolution,[],['130','134']) ).

cnf('136',plain,
    ( e2 = e0
    | $pr($df78)
    | $pr($df77) ),
    inference(resolution,[],['135','93']) ).

cnf('137',plain,
    ( $pr($df78)
    | $pr($df77) ),
    inference(paramodulation,[],['136','61']) ).

cnf('138',plain,
    ( op(e0,e0) = e3
    | e4 = e3
    | $pr($df77)
    | $pr($df62)
    | $pr($df61) ),
    inference(resolution,[],['68','137']) ).

cnf('139',plain,
    e0 != e3,
    inference(cnf_transformation,[],['ax5_$sk']) ).

cnf('140',plain,
    ( e4 = e3
    | $pr($df77)
    | $pr($df62)
    | $pr($df61) ),
    inference(paramodulation,[then_simplify],['66','138','139']) ).

cnf('141',plain,
    op(e2,e3) != op(e2,e4),
    inference(cnf_transformation,[],['ax4_$sk']) ).

cnf('142',plain,
    ( $pr($df77)
    | $pr($df62)
    | $pr($df61) ),
    inference(paramodulation,[],['140','141']) ).

cnf('143',plain,
    ( ~ $pr($df77)
    | op(e3,e3) = e2 ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('144',plain,
    ( op(e3,e3) = e2
    | $pr($df62)
    | $pr($df61) ),
    inference(resolution,[],['142','143']) ).

cnf('145',plain,
    ( op(e3,e3) != e2
    | $pr($df71)
    | $pr($df64)
    | $pr($df63) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('146',plain,
    ( op(e2,e2) != e3
    | ~ $pr($df64) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('147',plain,
    ~ $pr($df64),
    inference(paramodulation,[],['51','146']) ).

cnf('148',plain,
    ( op(e2,e2) != e3
    | ~ $pr($df63) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('149',plain,
    ~ $pr($df63),
    inference(paramodulation,[],['51','148']) ).

cnf('150',plain,
    ( op(e3,e3) != e2
    | $pr($df71) ),
    inference(simplify,[then_simplify],['145','147','149']) ).

cnf('151',plain,
    ( $pr($df71)
    | $pr($df62)
    | $pr($df61) ),
    inference(resolution,[],['144','150']) ).

cnf('152',plain,
    ( ~ $pr($df62)
    | op(e3,e3) = e2
    | op(e2,e2) = e2
    | $pr($df46)
    | $pr($df45) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('153',plain,
    ( ~ $pr($df62)
    | op(e3,e3) = e2
    | e3 = e2
    | $pr($df46)
    | $pr($df45) ),
    inference(simplify,[],['152','51']) ).

cnf('154',plain,
    ( $pr($df71)
    | $pr($df61)
    | op(e3,e3) = e2
    | e3 = e2
    | $pr($df46)
    | $pr($df45) ),
    inference(resolution,[],['151','153']) ).

cnf('155',plain,
    ( ~ $pr($df71)
    | op(e3,e3) = e2 ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('156',plain,
    ( op(e3,e3) = e2
    | e3 = e2
    | $pr($df46)
    | $pr($df45)
    | $pr($df61) ),
    inference(simplify,[],['154','155']) ).

cnf('157',plain,
    ( op(e3,e3) != e2
    | ~ $pr($df72) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('158',plain,
    ( e3 = e2
    | $pr($df46)
    | $pr($df45)
    | $pr($df61)
    | ~ $pr($df72) ),
    inference(resolution,[],['156','157']) ).

cnf('159',plain,
    ( op(e2,e2) != e2
    | ~ $pr($df72) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('160',plain,
    ( e3 != e2
    | ~ $pr($df72) ),
    inference(paramodulation,[],['51','159']) ).

cnf('161',plain,
    ( ~ $pr($df72)
    | $pr($df46)
    | $pr($df45)
    | $pr($df61) ),
    inference(simplify,[],['158','160']) ).

cnf('162',plain,
    ( ~ $pr($df74)
    | op(e2,e2) = e2 ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('163',plain,
    ( ~ $pr($df74)
    | e3 = e2 ),
    inference(simplify,[],['162','51']) ).

cnf('164',plain,
    ( op(e2,e2) != e2
    | op(e3,e3) = e2
    | $pr($df74)
    | $pr($df46)
    | $pr($df45) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('165',plain,
    ( op(e3,e3) = e2
    | op(e2,e2) = e2
    | $pr($df72)
    | $pr($df46)
    | $pr($df45) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('166',plain,
    ( op(e3,e3) = e2
    | $pr($df74)
    | $pr($df72)
    | $pr($df46)
    | $pr($df45) ),
    inference(resolution,[],['164','165']) ).

cnf('167',plain,
    ( op(e3,e3) != e2
    | $pr($df71)
    | $pr($df64)
    | $pr($df63) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('168',plain,
    ( $pr($df74)
    | $pr($df72)
    | $pr($df71)
    | $pr($df46)
    | $pr($df45) ),
    inference(resolution,[then_simplify],['166','167','147','149']) ).

cnf('169',plain,
    ( e3 = e2
    | $pr($df72)
    | $pr($df71)
    | $pr($df46)
    | $pr($df45) ),
    inference(resolution,[],['163','168']) ).

cnf('170',plain,
    op(e3,e2) != op(e3,e3),
    inference(cnf_transformation,[],['ax4_$sk']) ).

cnf('171',plain,
    ( $pr($df72)
    | $pr($df71)
    | $pr($df46)
    | $pr($df45) ),
    inference(paramodulation,[],['169','170']) ).

cnf('172',plain,
    ( $pr($df71)
    | $pr($df46)
    | $pr($df45)
    | $pr($df61) ),
    inference(resolution,[],['161','171']) ).

cnf('173',plain,
    ( ~ $pr($df71)
    | op(e3,e3) = e2 ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('174',plain,
    ( op(e3,e3) = e2
    | $pr($df46)
    | $pr($df45)
    | $pr($df61) ),
    inference(resolution,[],['172','173']) ).

cnf('175',plain,
    ( op(e4,e4) = e1
    | op(e3,e3) = e1
    | op(e2,e2) = e1
    | op(e1,e1) = e1
    | op(e0,e0) = e1 ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('176',plain,
    ( ~ $pr($df9)
    | op(e4,e4) = e1
    | op(e3,e3) = e1
    | op(e2,e2) = e1
    | op(e1,e1) = e1 ),
    inference(resolution,[],['175','28']) ).

cnf('177',plain,
    ( op(e0,e0) = e1
    | $pr($df8)
    | $pr($df9) ),
    inference(resolution,[],['18','19']) ).

cnf('178',plain,
    ~ $pr($df8),
    inference(resolution,[],['66','2']) ).

cnf('179',plain,
    $pr($df9),
    inference(paramodulation,[then_simplify],['66','177','22','178']) ).

cnf('180',plain,
    ( e2 = e1
    | op(e3,e3) = e1
    | e3 = e1
    | e4 = e1 ),
    inference(simplify,[then_simplify],['176','179','13','51','8']) ).

cnf('181',plain,
    ( e4 = e1
    | e3 = e1
    | e2 = e1
    | $pr($df46)
    | $pr($df45)
    | $pr($df61) ),
    inference(paramodulation,[],['174','180']) ).

cnf('182',plain,
    ( e4 = e1
    | e3 = e1
    | $pr($df46)
    | $pr($df45)
    | $pr($df61) ),
    inference(paramodulation,[],['181','79']) ).

cnf('183',plain,
    op(e3,e1) != op(e3,e3),
    inference(cnf_transformation,[],['ax4_$sk']) ).

cnf('184',plain,
    ( e4 = e1
    | $pr($df46)
    | $pr($df45)
    | $pr($df61) ),
    inference(paramodulation,[],['182','183']) ).

cnf('185',plain,
    op(e3,e1) != op(e3,e4),
    inference(cnf_transformation,[],['ax4_$sk']) ).

cnf('186',plain,
    ( $pr($df46)
    | $pr($df45)
    | $pr($df61) ),
    inference(paramodulation,[],['184','185']) ).

cnf('187',plain,
    ( ~ $pr($df61)
    | op(e2,e2) = e4 ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('188',plain,
    ~ $pr($df61),
    inference(simplify,[then_simplify],['187','73','51']) ).

cnf('189',plain,
    ( $pr($df46)
    | $pr($df45) ),
    inference(resolution,[],['186','188']) ).

cnf('190',plain,
    ( ~ $pr($df46)
    | op(e4,e4) = e1
    | op(e2,e2) = e0
    | $pr($df30)
    | $pr($df29) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('191',plain,
    ( ~ $pr($df46)
    | e2 = e1
    | e3 = e0
    | $pr($df30)
    | $pr($df29) ),
    inference(simplify,[then_simplify],['190','13','51']) ).

cnf('192',plain,
    ( e2 = e1
    | e3 = e0
    | $pr($df30)
    | $pr($df29)
    | $pr($df45) ),
    inference(resolution,[],['189','191']) ).

cnf('193',plain,
    ( op(e4,e4) != e1
    | ~ $pr($df48) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('194',plain,
    ( e2 != e1
    | ~ $pr($df48) ),
    inference(paramodulation,[],['13','193']) ).

cnf('195',plain,
    ( e3 = e0
    | $pr($df30)
    | $pr($df29)
    | $pr($df45)
    | ~ $pr($df48) ),
    inference(resolution,[],['192','194']) ).

cnf('196',plain,
    ( op(e2,e2) != e0
    | ~ $pr($df48) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('197',plain,
    ( e3 != e0
    | ~ $pr($df48) ),
    inference(paramodulation,[],['51','196']) ).

cnf('198',plain,
    ( ~ $pr($df48)
    | $pr($df30)
    | $pr($df29)
    | $pr($df45) ),
    inference(simplify,[],['195','197']) ).

cnf('199',plain,
    ( op(e4,e4) = e1
    | op(e2,e2) = e0
    | $pr($df30)
    | $pr($df29)
    | $pr($df48) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('200',plain,
    ( e2 = e1
    | e3 = e0
    | $pr($df30)
    | $pr($df29)
    | $pr($df48) ),
    inference(simplify,[then_simplify],['199','13','51']) ).

cnf('201',plain,
    ( e3 = e0
    | $pr($df30)
    | $pr($df29)
    | $pr($df48) ),
    inference(paramodulation,[],['200','79']) ).

cnf('202',plain,
    ( $pr($df30)
    | $pr($df29)
    | $pr($df48) ),
    inference(paramodulation,[],['201','63']) ).

cnf('203',plain,
    ( $pr($df30)
    | $pr($df29)
    | $pr($df45) ),
    inference(resolution,[],['198','202']) ).

cnf('204',plain,
    ( ~ $pr($df45)
    | op(e1,e1) = e2 ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('205',plain,
    ( ~ $pr($df45)
    | e4 = e2 ),
    inference(simplify,[],['204','8']) ).

cnf('206',plain,
    ( e4 = e2
    | $pr($df30)
    | $pr($df29) ),
    inference(resolution,[],['203','205']) ).

cnf('207',plain,
    op(e3,e2) != op(e3,e4),
    inference(cnf_transformation,[],['ax4_$sk']) ).

cnf('208',plain,
    ( $pr($df30)
    | $pr($df29) ),
    inference(paramodulation,[],['206','207']) ).

cnf('209',plain,
    ( ~ $pr($df30)
    | op(e2,e2) = e1
    | op(e1,e1) = e1
    | $pr($df14)
    | $pr($df13) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('210',plain,
    ( ~ $pr($df30)
    | e3 = e1
    | e4 = e1
    | $pr($df14)
    | $pr($df13) ),
    inference(simplify,[then_simplify],['209','51','8']) ).

cnf('211',plain,
    ( e4 = e1
    | e3 = e1
    | $pr($df29)
    | $pr($df14)
    | $pr($df13) ),
    inference(resolution,[],['208','210']) ).

cnf('212',plain,
    ( op(e2,e2) != e1
    | ~ $pr($df40) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('213',plain,
    ( e3 != e1
    | ~ $pr($df40) ),
    inference(paramodulation,[],['51','212']) ).

cnf('214',plain,
    ( e4 = e1
    | $pr($df29)
    | $pr($df14)
    | $pr($df13)
    | ~ $pr($df40) ),
    inference(resolution,[],['211','213']) ).

cnf('215',plain,
    ( op(e1,e1) != e1
    | ~ $pr($df40) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('216',plain,
    ( e4 != e1
    | ~ $pr($df40) ),
    inference(paramodulation,[],['8','215']) ).

cnf('217',plain,
    ( ~ $pr($df40)
    | $pr($df29)
    | $pr($df14)
    | $pr($df13) ),
    inference(simplify,[],['214','216']) ).

cnf('218',plain,
    ( op(e1,e1) = e2
    | op(e1,e1) = e1
    | $pr($df31)
    | $pr($df14)
    | $pr($df13) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('219',plain,
    ( op(e1,e1) != e1
    | op(e1,e1) = e2
    | $pr($df14)
    | $pr($df13)
    | $pr($df41) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('220',plain,
    ( op(e1,e1) = e2
    | $pr($df31)
    | $pr($df14)
    | $pr($df13)
    | $pr($df41) ),
    inference(resolution,[],['218','219']) ).

cnf('221',plain,
    ( e4 = e2
    | $pr($df31)
    | $pr($df14)
    | $pr($df13)
    | $pr($df41) ),
    inference(simplify,[],['220','8']) ).

cnf('222',plain,
    ( $pr($df31)
    | $pr($df14)
    | $pr($df13)
    | $pr($df41) ),
    inference(paramodulation,[],['221','207']) ).

cnf('223',plain,
    ( ~ $pr($df41)
    | op(e1,e1) = e1 ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('224',plain,
    ( op(e1,e1) = e1
    | $pr($df31)
    | $pr($df14)
    | $pr($df13) ),
    inference(resolution,[],['222','223']) ).

cnf('225',plain,
    ( e4 = e1
    | $pr($df31)
    | $pr($df14)
    | $pr($df13) ),
    inference(simplify,[],['224','8']) ).

cnf('226',plain,
    ( $pr($df31)
    | $pr($df14)
    | $pr($df13) ),
    inference(paramodulation,[],['225','185']) ).

cnf('227',plain,
    ( op(e2,e2) = e1
    | op(e1,e1) = e1
    | $pr($df14)
    | $pr($df13)
    | $pr($df40) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('228',plain,
    ( op(e1,e1) != e1
    | ~ $pr($df31) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('229',plain,
    ( op(e2,e2) = e1
    | $pr($df14)
    | $pr($df13)
    | $pr($df40)
    | ~ $pr($df31) ),
    inference(resolution,[],['227','228']) ).

cnf('230',plain,
    ( ~ $pr($df31)
    | ~ $pr($df14) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('231',plain,
    ( ~ $pr($df31)
    | op(e2,e2) = e1
    | $pr($df13)
    | $pr($df40) ),
    inference(simplify,[],['229','230']) ).

cnf('232',plain,
    ( ~ $pr($df31)
    | e3 = e1
    | $pr($df13)
    | $pr($df40) ),
    inference(simplify,[],['231','51']) ).

cnf('233',plain,
    ( e3 = e1
    | $pr($df14)
    | $pr($df13)
    | $pr($df40) ),
    inference(resolution,[],['226','232']) ).

cnf('234',plain,
    ( $pr($df14)
    | $pr($df13)
    | $pr($df40) ),
    inference(paramodulation,[],['233','183']) ).

cnf('235',plain,
    ( $pr($df29)
    | $pr($df14)
    | $pr($df13) ),
    inference(resolution,[],['217','234']) ).

cnf('236',plain,
    ( ~ $pr($df29)
    | op(e1,e1) = e3 ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('237',plain,
    ( ~ $pr($df29)
    | e4 = e3 ),
    inference(simplify,[],['236','8']) ).

cnf('238',plain,
    ( e4 = e3
    | $pr($df14)
    | $pr($df13) ),
    inference(resolution,[],['235','237']) ).

cnf('239',plain,
    ( $pr($df14)
    | $pr($df13) ),
    inference(paramodulation,[],['238','141']) ).

cnf('240',plain,
    ( ~ $pr($df14)
    | op(e4,e4) = e0
    | op(e0,e0) = e3
    | $pr($df1)
    | $pr($df2) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('241',plain,
    ( ~ $pr($df14)
    | e2 = e0
    | op(e0,e0) = e3
    | $pr($df1)
    | $pr($df2) ),
    inference(simplify,[],['240','13']) ).

cnf('242',plain,
    ( op(e0,e0) = e3
    | e2 = e0
    | $pr($df1)
    | $pr($df2)
    | $pr($df13) ),
    inference(resolution,[],['239','241']) ).

cnf('243',plain,
    ( e2 = e0
    | $pr($df1)
    | $pr($df2)
    | $pr($df13) ),
    inference(simplify,[then_simplify],['242','139','66']) ).

cnf('244',plain,
    ( $pr($df1)
    | $pr($df2)
    | $pr($df13) ),
    inference(paramodulation,[],['243','61']) ).

cnf('245',plain,
    ( ~ $pr($df13)
    | op(e1,e1) = e0 ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('246',plain,
    ( ~ $pr($df13)
    | e4 = e0 ),
    inference(simplify,[],['245','8']) ).

cnf('247',plain,
    ( $pr($df1)
    | $pr($df2)
    | e4 = e0 ),
    inference(resolution,[],['244','246']) ).

cnf('248',plain,
    ( op(e0,e0) != e0
    | ~ $pr($df2)
    | op(e1,e1) = e0 ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('249',plain,
    ( op(e0,e0) != e0
    | ~ $pr($df2)
    | e4 = e0 ),
    inference(simplify,[],['248','8']) ).

cnf('250',plain,
    ( ~ $pr($df2)
    | e4 = e0 ),
    inference(resolution,[],['66','249']) ).

cnf('251',plain,
    ( e4 = e0
    | $pr($df1) ),
    inference(simplify,[],['247','250']) ).

cnf('252',plain,
    $pr($df1),
    inference(resolution,[],['251','15']) ).

cnf('253',plain,
    ( ~ $pr($df1)
    | op(e0,e0) = e2 ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('254',plain,
    op(e0,e0) = e2,
    inference(resolution,[],['252','253']) ).

cnf('255',plain,
    e0 != e2,
    inference(cnf_transformation,[],['ax5_$sk']) ).

cnf('256',plain,
    $false,
    inference(simplify,[then_simplify],['254','255','66']) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09  % Problem  : ALG063+1 : TPTP v8.1.2. Released v2.7.0.
% 0.00/0.10  % Command  : gkc %s
% 0.10/0.29  % Computer : n032.cluster.edu
% 0.10/0.29  % Model    : x86_64 x86_64
% 0.10/0.29  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.29  % Memory   : 8042.1875MB
% 0.10/0.29  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.29  % CPULimit : 300
% 0.10/0.29  % WCLimit  : 300
% 0.10/0.29  % DateTime : Mon Aug 28 03:01:15 EDT 2023
% 0.10/0.29  % CPUTime  : 
% 0.10/0.34  
% 0.10/0.34  input clause set summed statistics:
% 0.10/0.34  ----------------------------------
% 0.10/0.34  in_clause_count:                   836
% 0.10/0.34  in_rule_clause_count:              836
% 0.10/0.34  in_fact_clause_count:                0
% 0.10/0.34  in_answer_clause_count:              0
% 0.10/0.34  in_ground_clause_count:            836
% 0.10/0.34  in_unit_clause_count:              124
% 0.10/0.34  in_horn_clause_count:              474
% 0.10/0.34  in_pos_clause_count:               145
% 0.10/0.34  in_neg_clause_count:               371
% 0.10/0.34  in_poseq_clause_count:             305
% 0.10/0.34  in_negeq_clause_count:             311
% 0.10/0.34  in_unitposeq_clause_count:          14
% 0.10/0.34  in_chain_clause_count:               0
% 0.10/0.34  in_min_length:             1
% 0.10/0.34  in_max_length:             8
% 0.10/0.34  in_min_depth:              1
% 0.10/0.34  in_max_depth:              4
% 0.10/0.34  in_min_size:               3
% 0.10/0.34  in_max_size:              25
% 0.10/0.34  in_min_vars:               0
% 0.10/0.34  in_max_vars:               0
% 0.10/0.34  in_extaxiom_count:                 0
% 0.10/0.34  in_axiom_count:                  200
% 0.10/0.34  in_assumption_count:               0
% 0.10/0.34  in_goal_count:                   636
% 0.10/0.34  in_neg_goal_count:               261
% 0.10/0.34  in_pos_goal_count:                55
% 0.10/0.34  in_posunit_goal_count:             0
% 0.10/0.34  
% 0.10/0.34  auto guide:
% 0.10/0.34  -----------
% 0.10/0.34  {
% 0.10/0.34  "print":1,
% 0.10/0.34  "print_level": 15,
% 0.10/0.34  "max_size": 0,
% 0.10/0.34  "max_depth": 0,
% 0.10/0.34  "max_length": 0,
% 0.10/0.34  "max_dseconds": 0,
% 0.10/0.34  "runs":[
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% 0.10/0.34  {"max_dseconds":1, "sine":3, "strategy":["hardness_pref"], "query_preference":0},
% 0.10/0.34  {"max_dseconds":1, "sine":5, "strategy":["hardness_pref"], "query_preference":0},
% 0.10/0.34  {"max_dseconds":1, "sine":5, "strategy":["negative_pref"], "query_preference":0},
% 0.10/0.34  {"max_dseconds":1, "strategy":["negative_pref","prohibit_unordered_para"], "query_preference":0},
% 0.10/0.34  {"max_dseconds":1, "strategy":["unit","prohibit_unordered_para"], "query_preference":0},
% 0.10/0.34  {"max_dseconds":1, "strategy":["unit","prohibit_unordered_para"], "query_preference":1},
% 0.10/0.34  {"max_dseconds":1, "strategy":["hardness_pref","prohibit_unordered_para"], "query_preference":1},
% 0.10/0.34  {"max_dseconds":1, "strategy":["unit","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
% 0.10/0.34  {"max_dseconds":1, "strategy":["hardness_pref","prohibit_unordered_para","prohibit_deep_para"], "query_preference":1},
% 0.10/0.34  {"max_dseconds":1, "strategy":["unit","prohibit_nested_para","prohibit_deep_para","prohibit_unordered_para"], "query_preference":0},
% 0.10/0.34  {"max_dseconds":1, "strategy":["negative_pref","prohibit_nested_para","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
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% 0.10/0.34  {"max_dseconds":1, "strategy":["hardness_pref", "posunitpara"], "query_preference":0, "depth_penalty":50, "length_penalty":100},
% 0.10/0.34  {"max_dseconds":1, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.10/0.34  {"max_dseconds":1, "sine":4, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.10/0.34  {"length_penalty":100, "depth_penalty":100, "query_preference":0, "strategy":["negative_pref", "hornpref", "max_weight"], "max_dseconds":1},
% 0.10/0.34  {"length_penalty":100, "depth_penalty":100, "query_preference":0, "strategy":["negative_pref", "hornpref", "max_weight"], "max_depth":2, "max_dseconds":1},
% 0.10/0.34  {"sine":1, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "depth_penalty":50, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":1},
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% 0.10/0.34  {"weight_select_ratio":100, "rewrite":0, "depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":1},
% 0.10/0.34  {"max_dseconds":1, "strategy":["unit", "pure_unit"], "max_size":30, "max_depth":10, "max_weight":300, "weight_select_ratio":1, "rewrite":0},
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% 0.10/0.34  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.10/0.34  {"max_dseconds":1, "strategy":["positive_pref"], "query_preference":0},
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% 0.10/0.34  {"max_dseconds":1, "sine":5, "strategy":["negative_pref"], "query_preference":0, "max_depth":4},
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% 0.10/0.34  {"max_dseconds":1, "strategy":["unit", "pure_unit"], "query_preference":0},
% 0.10/0.34  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "depth_penalty":100, "sine":1},
% 0.10/0.34  {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":0, "sine":2},
% 0.10/0.34  {"sine":1, "var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["negative_pref", "max_weight"], "max_dseconds":1},
% 0.10/0.34  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "rewrite":0},
% 0.10/0.34  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "sine":1},
% 0.10/0.34  {"max_dseconds":1, "strategy":["unit", "pure_unit"], "weight_select_ratio":1, "query_preference":0},
% 0.10/0.34  {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "query_preference":0, "strategy":["query_focus", "posunitpara"], "max_dseconds":1},
% 0.10/0.34  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":2},
% 0.10/0.34  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100, "sine":2},
% 0.10/0.34  {"weight_select_ratio":100, "query_preference":0, "strategy":["negative_pref", "max_weight"], "max_dseconds":1},
% 0.10/0.34  {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":1},
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% 0.10/0.34  {"var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["positive_pref"], "max_dseconds":1},
% 0.10/0.34  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "max_depth":4},
% 0.10/0.34  
% 0.10/0.34  {"max_dseconds":10, "strategy":["hardness_pref"], "query_preference":0},
% 0.10/0.34  {"max_dseconds":10, "sine":3, "strategy":["hardness_pref"], "query_preference":0},
% 0.10/0.34  {"max_dseconds":10, "sine":5, "strategy":["hardness_pref"], "query_preference":0},
% 0.10/0.34  {"max_dseconds":10, "sine":5, "strategy":["negative_pref"], "query_preference":0},
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% 0.10/0.34  {"max_dseconds":10, "strategy":["unit","prohibit_unordered_para"], "query_preference":0},
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% 0.10/0.34  {"max_dseconds":10, "strategy":["hardness_pref","prohibit_unordered_para"], "query_preference":1},
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% 0.10/0.34  {"max_dseconds":10, "strategy":["hardness_pref"], "query_preference":0, "sine":1},
% 0.10/0.34  {"max_dseconds":10, "strategy":["unit"], "query_preference":0},
% 0.10/0.34  {"max_dseconds":10, "strategy":["query_focus", "positive_pref"], "query_preference":0},
% 0.10/0.34  {"max_dseconds":10, "strategy":["unit"], "query_preference":0, "sine":1},
% 0.10/0.34  {"max_dseconds":10, "strategy":["unit"], "query_preference":0, "depth_penalty":100},
% 0.10/0.34  {"max_dseconds":10, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.10/0.34  {"max_dseconds":10, "strategy":["hardness_pref"], "query_preference":0, "rewrite":0},
% 0.10/0.34  {"max_dseconds":10, "strategy":["hardness_pref","prohibit_deep_para"], "query_preference":0, "rewrite":0},
% 0.10/0.34  {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.10/0.34  {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0, "max_depth":3},
% 0.10/0.34  {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0, "max_depth":1},
% 0.10/0.34  {"max_dseconds":10, "strategy":["unit"], "query_preference":0, "max_depth":6, "var_weight":1},
% 0.10/0.34  {"var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":10},
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% 0.10/0.34  {"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":10},
% 0.10/0.34  {"max_depth":0, "depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":10},
% 0.10/0.34  {"depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":10},
% 0.10/0.34  {"max_dseconds":10, "strategy":["hardness_pref", "posunitpara"], "query_preference":0, "depth_penalty":50, "length_penalty":100},
% 0.10/0.34  {"max_dseconds":10, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.10/0.34  {"max_dseconds":10, "sine":4, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.10/0.34  {"length_penalty":100, "depth_penalty":100, "query_preference":0, "strategy":["negative_pref", "hornpref", "max_weight"], "max_dseconds":10},
% 0.10/0.34  {"length_penalty":100, "depth_penalty":100, "query_preference":0, "strategy":["negative_pref", "hornpref", "max_weight"], "max_depth":2, "max_dseconds":10},
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% 0.10/0.34  {"weight_select_ratio":100, "rewrite":0, "depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":10},
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% 0.10/0.34  {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
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% 0.10/0.34  {"var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["positive_pref"], "max_dseconds":10},
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% 0.10/0.34  
% 0.10/0.34  {"max_dseconds":50, "strategy":["hardness_pref"], "query_preference":0},
% 0.10/0.34  {"max_dseconds":50, "sine":3, "strategy":["hardness_pref"], "query_preference":0},
% 0.10/0.34  {"max_dseconds":50, "sine":5, "strategy":["hardness_pref"], "query_preference":0},
% 0.10/0.34  {"max_dseconds":50, "sine":5, "strategy":["negative_pref"], "query_preference":0},
% 0.10/0.34  {"max_dseconds":50, "strategy":["negative_pref","prohibit_unordered_para"], "query_preference":0},
% 0.10/0.34  {"max_dseconds":50, "strategy":["unit","prohibit_unordered_para"], "query_preference":0},
% 0.10/0.34  {"max_dseconds":50, "strategy":["unit","prohibit_unordered_para"], "query_preference":1},
% 0.10/0.34  {"max_dseconds":50, "strategy":["hardness_pref","prohibit_unordered_para"], "query_preference":1},
% 0.10/0.34  {"max_dseconds":50, "strategy":["unit","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
% 0.10/0.34  {"max_dseconds":50, "strategy":["hardness_pref","prohibit_unordered_para","prohibit_deep_para"], "query_preference":1},
% 0.10/0.34  {"max_dseconds":50, "strategy":["unit","prohibit_nested_para","prohibit_deep_para","prohibit_unordered_para"], "query_preference":0},
% 0.10/0.34  {"max_dseconds":50, "strategy":["negative_pref","prohibit_nested_para","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
% 0.10/0.34  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0},
% 0.10/0.34  {"max_dseconds":50, "strategy":["query_focus"], "query_preference":3},
% 0.10/0.34  {"max_dseconds":50, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.10/0.34  {"max_dseconds":50, "sine":3, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.10/0.34  {"max_dseconds":50, "strategy":["hardness_pref"], "query_preference":0, "sine":1},
% 0.10/0.34  {"max_dseconds":50, "strategy":["unit"], "query_preference":0},
% 0.10/0.34  {"max_dseconds":50, "strategy":["query_focus", "positive_pref"], "query_preference":0},
% 0.10/0.34  {"max_dseconds":50, "strategy":["unit"], "query_preference":0, "sine":1},
% 0.10/0.34  {"max_dseconds":50, "strategy":["unit"], "query_preference":0, "depth_penalty":100},
% 0.10/0.34  {"max_dseconds":50, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.10/0.34  {"max_dseconds":50, "strategy":["hardness_pref"], "query_preference":0, "rewrite":0},
% 0.10/0.34  {"max_dseconds":50, "strategy":["hardness_pref","prohibit_deep_para"], "query_preference":0, "rewrite":0},
% 0.10/0.34  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.10/0.34  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0, "max_depth":3},
% 0.10/0.34  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0, "max_depth":1},
% 0.10/0.34  {"max_dseconds":50, "strategy":["unit"], "query_preference":0, "max_depth":6, "var_weight":1},
% 0.10/0.34  {"var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":50},
% 0.10/0.34  {"var_weight":70, "repeat_var_weight":70, "depth_penalty":50,  "sine":3, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":50},
% 0.10/0.34  {"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":50},
% 0.10/0.34  {"max_depth":0, "depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":50},
% 0.10/0.34  {"depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":50},
% 0.10/0.34  {"max_dseconds":50, "strategy":["hardness_pref", "posunitpara"], "query_preference":0, "depth_penalty":50, "length_penalty":100},
% 0.10/0.34  {"max_dseconds":50, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.10/0.34  {"max_dseconds":50, "sine":4, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.10/0.34  {"length_penalty":100, "depth_penalty":100, "query_preference":0, "strategy":["negative_pref", "hornpref", "max_weight"], "max_dseconds":50},
% 0.10/0.34  {"length_penalty":100, "depth_penalty":100, "query_preference":0, "strategy":["negative_pref", "hornpref", "max_weight"], "max_depth":2, "max_dseconds":50},
% 0.10/0.34  {"sine":1, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "depth_penalty":50, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":50},
% 0.10/0.34  {"sine":2, "query_preference":0, "strategy":["unit"], "max_dseconds":50},
% 0.10/0.34  {"weight_select_ratio":100, "rewrite":0, "depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":50},
% 0.10/0.34  {"max_dseconds":50, "strategy":["unit", "pure_unit"], "max_size":30, "max_depth":10, "max_weight":300, "weight_select_ratio":1, "rewrite":0},
% 0.10/0.34  {"max_dseconds":50, "strategy":["query_focus", "unit"], "query_preference":0},
% 0.10/0.34  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.10/0.34  {"max_dseconds":50, "strategy":["positive_pref"], "query_preference":0},
% 0.10/0.34  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0, "max_depth":4},
% 0.10/0.34  {"max_dseconds":50, "sine":5, "strategy":["negative_pref"], "query_preference":0, "max_depth":4},
% 0.10/0.34  {"max_dseconds":50, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.10/0.34  {"max_dseconds":50, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1, "length_penalty":100},
% 0.10/0.34  {"max_dseconds":50, "strategy":["negative_pref", "prohibit_nested_para"], "query_preference":0},
% 0.10/0.34  {"max_dseconds":50, "strategy":["unit", "pure_unit"], "query_preference":0},
% 0.10/0.34  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0, "depth_penalty":100, "sine":1},
% 0.10/0.34  {"max_dseconds":50, "strategy":["query_focus", "unit"], "query_preference":0, "sine":2},
% 0.10/0.34  {"sine":1, "var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["negative_pref", "max_weight"], "max_dseconds":50},
% 0.10/0.34  {"max_dseconds":50, "strategy":["unit"], "query_preference":0, "rewrite":0},
% 0.10/0.34  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0, "sine":1},
% 0.10/0.34  {"max_dseconds":50, "strategy":["unit", "pure_unit"], "weight_select_ratio":1, "query_preference":0},
% 0.10/0.34  {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "query_preference":0, "strategy":["query_focus", "posunitpara"], "max_dseconds":50},
% 0.10/0.34  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0, "max_depth":2},
% 0.10/0.34  {"max_dseconds":50, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100, "sine":2},
% 0.10/0.34  {"weight_select_ratio":100, "query_preference":0, "strategy":["negative_pref", "max_weight"], "max_dseconds":50},
% 0.10/0.34  {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":50},
% 0.10/0.34  {"max_dseconds":50, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1},
% 0.10/0.34  {"var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["positive_pref"], "max_dseconds":50},
% 0.10/0.34  {"max_dseconds":50, "strategy":["unit"], "query_preference":0, "max_depth":4},
% 0.10/0.34  
% 0.10/0.34  {"max_dseconds":250, "strategy":["hardness_pref"], "query_preference":0},
% 0.10/0.34  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":0},
% 0.10/0.34  {"max_dseconds":250, "strategy":["query_focus"], "query_preference":3},
% 0.10/0.34  {"max_dseconds":250, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.10/0.34  {"max_dseconds":250, "strategy":["hardness_pref"], "query_preference":0, "sine":1},
% 0.10/0.34  {"max_dseconds":250, "strategy":["unit"], "query_preference":0},
% 0.10/0.34  {"max_dseconds":250, "strategy":["query_focus", "positive_pref"], "query_preference":0},
% 0.10/0.34  {"max_dseconds":250, "strategy":["unit"], "query_preference":0, "sine":1},
% 0.10/0.34  {"max_dseconds":250, "strategy":["unit"], "query_preference":0, "depth_penalty":100},
% 0.10/0.34  {"max_dseconds":250, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.10/0.34  {"max_dseconds":250, "strategy":["hardness_pref"], "query_preference":0, "rewrite":0},
% 0.10/0.34  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.10/0.34  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":0, "max_depth":3},
% 0.10/0.34  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":0, "max_depth":1},
% 0.10/0.34  
% 0.10/0.34  {"max_dseconds":1250, "strategy":["hardness_pref"], "query_preference":0},
% 0.10/0.34  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":0},
% 0.10/0.34  {"max_dseconds":1250, "strategy":["query_focus"], "query_preference":3},
% 0.10/0.34  {"max_dseconds":1250, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.10/0.34  {"max_dseconds":1250, "strategy":["hardness_pref"], "query_preference":0, "sine":1},
% 0.10/0.34  {"max_dseconds":1250, "strategy":["unit"], "query_preference":0},
% 0.10/0.34  {"max_dseconds":1250, "strategy":["query_focus", "positive_pref"], "query_preference":0},
% 0.10/0.34  {"max_dseconds":1250, "strategy":["unit"], "query_preference":0, "sine":1},
% 0.10/0.35  {"max_dseconds":1250, "strategy":["unit"], "query_preference":0, "depth_penalty":100},
% 0.10/0.35  {"max_dseconds":1250, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.10/0.35  {"max_dseconds":1250, "strategy":["hardness_pref"], "query_preference":0, "rewrite":0},
% 0.10/0.35  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.10/0.35  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":0, "max_depth":3},
% 0.10/0.35  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":0, "max_depth":1} 
% 0.10/0.35  
% 0.10/0.35  ]}
% 0.10/0.35  
% 0.10/0.35  
% 0.10/0.35  **** run 1 fork 0 starts with strategy
% 0.10/0.35  {"max_dseconds":1,"strategy":["hardness_pref"],"query_preference":0}
% 0.10/0.35  
% 0.10/0.35  **** run 2 fork 1 starts with strategy
% 0.10/0.35  {"max_dseconds":1,"sine":3,"strategy":["hardness_pref"],"query_preference":0}
% 0.10/0.35  
% 0.10/0.35  **** run 3 fork 2 starts with strategy
% 0.10/0.35  {"max_dseconds":1,"sine":5,"strategy":["hardness_pref"],"query_preference":0}
% 0.10/0.35  
% 0.10/0.35  **** run 4 fork 3 starts with strategy
% 0.10/0.35  {"max_dseconds":1,"sine":5,"strategy":["negative_pref"],"query_preference":0}
% 0.10/0.35  
% 0.10/0.35  **** run 5 fork 4 starts with strategy
% 0.10/0.35  {"max_dseconds":1,"strategy":["negative_pref","prohibit_unordered_para"],"query_preference":0}
% 0.10/0.35  
% 0.10/0.35  **** run 6 fork 5 starts with strategy
% 0.10/0.35  {"max_dseconds":1,"strategy":["unit","prohibit_unordered_para"],"query_preference":0}
% 0.10/0.35  
% 0.10/0.35  **** run 7 fork 6 starts with strategy
% 0.10/0.35  {"max_dseconds":1,"strategy":["unit","prohibit_unordered_para"],"query_preference":1}
% 0.10/0.35  
% 0.10/0.35  **** run 8 fork 7 starts with strategy
% 0.10/0.35  {"max_dseconds":1,"strategy":["hardness_pref","prohibit_unordered_para"],"query_preference":1}
% 0.14/0.48  
% 0.14/0.48  fork 5: search finished without proof.
% 0.14/0.49  
% 0.14/0.49  
% 0.14/0.49  fork 0: search terminated without proof.
% 0.14/0.49  
% 0.14/0.49  fork 3: search finished without proof.
% 0.14/0.49  
% 0.14/0.49  
% 0.14/0.49  fork 7: search terminated without proof.
% 0.14/0.49  
% 0.14/0.49  
% 0.14/0.49  fork 2: search terminated without proof.
% 0.14/0.49  
% 0.14/0.49  fork 4: search finished without proof.
% 0.14/0.49  
% 0.14/0.49  
% 0.14/0.49  fork 6: search terminated without proof.
% 0.14/0.49  
% 0.14/0.49  
% 0.14/0.49  fork 1: search terminated without proof.
% 0.14/0.51  
% 0.14/0.51  **** run 14 fork 5 starts with strategy
% 0.14/0.51  {"max_dseconds":1,"strategy":["query_focus"],"query_preference":3}
% 0.14/0.51  
% 0.14/0.51  **** run 12 fork 3 starts with strategy
% 0.14/0.51  {"max_dseconds":1,"strategy":["negative_pref","prohibit_nested_para","prohibit_unordered_para","prohibit_deep_para"],"query_preference":0}
% 0.14/0.51  
% 0.14/0.51  **** run 9 fork 0 starts with strategy
% 0.14/0.51  {"max_dseconds":1,"strategy":["unit","prohibit_unordered_para","prohibit_deep_para"],"query_preference":0}
% 0.14/0.52  
% 0.14/0.52  **** run 16 fork 7 starts with strategy
% 0.14/0.52  {"max_dseconds":1,"sine":3,"strategy":["hardness_pref"],"query_preference":0,"weight_select_ratio":1,"depth_penalty":50,"length_penalty":100}
% 0.14/0.52  
% 0.14/0.52  **** run 10 fork 1 starts with strategy
% 0.14/0.52  {"max_dseconds":1,"strategy":["hardness_pref","prohibit_unordered_para","prohibit_deep_para"],"query_preference":1}
% 0.14/0.52  
% 0.14/0.52  **** run 13 fork 4 starts with strategy
% 0.14/0.52  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0}
% 0.14/0.52  
% 0.14/0.52  **** run 15 fork 6 starts with strategy
% 0.14/0.52  {"max_dseconds":1,"strategy":["hardness_pref"],"query_preference":0,"weight_select_ratio":1,"depth_penalty":50,"length_penalty":100}
% 0.14/0.52  
% 0.14/0.52  **** run 11 fork 2 starts with strategy
% 0.14/0.52  {"max_dseconds":1,"strategy":["unit","prohibit_nested_para","prohibit_deep_para","prohibit_unordered_para"],"query_preference":0}
% 0.14/0.55  No candidate clauses found.
% 0.14/0.55  
% 0.14/0.55  
% 0.14/0.55  fork 5: search terminated without proof.
% 0.14/0.57  
% 0.14/0.57  **** run 22 fork 5 starts with strategy
% 0.14/0.57  {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"depth_penalty":100}
% 0.14/0.64  
% 0.14/0.64  fork 0: search finished without proof.
% 0.14/0.64  
% 0.14/0.64  fork 3: search finished without proof.
% 0.14/0.65  
% 0.14/0.65  
% 0.14/0.65  fork 7: search terminated without proof.
% 0.14/0.65  
% 0.14/0.65  fork 4: search finished without proof.
% 0.14/0.65  
% 0.14/0.65  
% 0.14/0.65  fork 6: search terminated without proof.
% 0.14/0.65  
% 0.14/0.65  
% 0.14/0.65  fork 1: search terminated without proof.
% 0.14/0.65  
% 0.14/0.65  fork 2: search finished without proof.
% 0.14/0.66  
% 0.14/0.66  **** run 17 fork 0 starts with strategy
% 0.14/0.66  {"max_dseconds":1,"strategy":["hardness_pref","prohibit_unordered_para"],"query_preference":0,"weight_select_ratio":1,"depth_penalty":50,"length_penalty":100}
% 0.14/0.66  
% 0.14/0.66  **** run 20 fork 3 starts with strategy
% 0.14/0.66  {"max_dseconds":1,"strategy":["query_focus","positive_pref"],"query_preference":0}
% 0.14/0.67  
% 0.14/0.67  **** run 24 fork 7 starts with strategy
% 0.14/0.67  {"max_dseconds":1,"strategy":["hardness_pref"],"query_preference":0,"rewrite":0}
% 0.14/0.67  
% 0.14/0.67  **** run 21 fork 4 starts with strategy
% 0.14/0.67  {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"sine":1}
% 0.14/0.67  
% 0.14/0.67  **** run 18 fork 1 starts with strategy
% 0.14/0.67  
% 0.14/0.67  **** run 23 fork 6 starts with strategy
% 0.14/0.67  {"max_dseconds":1,"strategy":["hardness_pref"],"query_preference":0,"weight_select_ratio":20,"depth_penalty":50,"length_penalty":100}
% 0.14/0.67  {"max_dseconds":1,"strategy":["hardness_pref"],"query_preference":0,"sine":1}
% 0.14/0.68  
% 0.14/0.68  **** run 19 fork 2 starts with strategy
% 0.14/0.68  {"max_dseconds":1,"strategy":["unit"],"query_preference":0}
% 0.14/0.70  
% 0.14/0.70  
% 0.14/0.70  fork 5: search terminated without proof.
% 0.14/0.72  
% 0.14/0.72  **** run 30 fork 5 starts with strategy
% 0.14/0.72  {"var_weight":70,"repeat_var_weight":70,"depth_penalty":50,"query_preference":0,"strategy":["hardness_pref"],"max_dseconds":1}
% 0.14/0.80  
% 0.14/0.80  
% 0.14/0.80  fork 6: search terminated without proof.
% 0.14/0.80  
% 0.14/0.80  
% 0.14/0.80  fork 0: search terminated without proof.
% 0.14/0.80  
% 0.14/0.80  fork 4: search finished without proof.
% 0.14/0.80  
% 0.14/0.80  
% 0.14/0.80  fork 3: search terminated without proof.
% 0.14/0.81  
% 0.14/0.81  
% 0.14/0.81  fork 7: search terminated without proof.
% 0.14/0.82  
% 0.14/0.82  **** run 25 fork 0 starts with strategy
% 0.14/0.82  {"max_dseconds":1,"strategy":["hardness_pref","prohibit_deep_para"],"query_preference":0,"rewrite":0}
% 0.14/0.82  
% 0.14/0.82  **** run 31 fork 6 starts with strategy
% 0.14/0.82  {"var_weight":70,"repeat_var_weight":70,"depth_penalty":50,"sine":3,"query_preference":0,"strategy":["hardness_pref"],"max_dseconds":1}
% 0.14/0.82  
% 0.14/0.82  **** run 29 fork 4 starts with strategy
% 0.14/0.82  {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"max_depth":6,"var_weight":1}
% 0.14/0.82  
% 0.14/0.82  **** run 28 fork 3 starts with strategy
% 0.14/0.82  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0,"max_depth":1}
% 0.14/0.82  
% 0.14/0.82  **** run 32 fork 7 starts with strategy
% 0.14/0.82  {"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}
% 0.14/0.83  
% 0.14/0.83  
% 0.14/0.83  fork 1: search terminated without proof.
% 0.14/0.86  
% 0.14/0.86  
% 0.14/0.86  fork 5: search terminated without proof.
% 0.14/0.88  
% 0.14/0.88  fork 2: search finished without proof.
% 0.14/0.88  
% 0.14/0.88  **** run 38 fork 5 starts with strategy
% 0.14/0.88  {"length_penalty":100,"depth_penalty":100,"query_preference":0,"strategy":["negative_pref","hornpref","max_weight"],"max_dseconds":1}
% 0.14/0.88  
% 0.14/0.88  **** run 26 fork 1 starts with strategy
% 0.14/0.88  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0,"weight_select_ratio":1,"depth_penalty":50,"length_penalty":100}
% 0.14/0.90  
% 0.14/0.90  **** run 27 fork 2 starts with strategy
% 0.14/0.90  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0,"max_depth":3}
% 3.10/0.94  
% 3.10/0.94  fork 3: search finished without proof.
% 3.10/0.95  
% 3.10/0.95  fork 4: search finished without proof.
% 4.76/0.95  
% 4.76/0.95  fork 6: search finished without proof.
% 4.79/0.96  
% 4.79/0.96  
% 4.79/0.96  fork 7: search terminated without proof.
% 4.79/0.96  
% 4.79/0.96  
% 4.79/0.96  fork 0: search terminated without proof.
% 4.79/0.96  
% 4.79/0.96  **** run 36 fork 3 starts with strategy
% 4.79/0.96  {"max_dseconds":1,"strategy":["hardness_pref","max_ground_weight"],"query_preference":0}
% 4.79/0.97  
% 4.79/0.97  **** run 37 fork 4 starts with strategy
% 4.79/0.97  {"max_dseconds":1,"sine":4,"strategy":["hardness_pref","max_ground_weight"],"query_preference":0}
% 4.79/0.97  
% 4.79/0.97  **** run 39 fork 6 starts with strategy
% 4.79/0.97  {"length_penalty":100,"depth_penalty":100,"query_preference":0,"strategy":["negative_pref","hornpref","max_weight"],"max_depth":2,"max_dseconds":1}
% 4.79/0.97  
% 4.79/0.97  **** run 40 fork 7 starts with strategy
% 4.79/0.97  {"sine":1,"var_weight":70,"repeat_var_weight":70,"rewrite":0,"depth_penalty":50,"query_preference":0,"strategy":["hardness_pref"],"max_dseconds":1}
% 4.79/0.98  
% 4.79/0.98  **** run 33 fork 0 starts with strategy
% 4.79/0.98  {"max_depth":0,"depth_penalty":100,"query_preference":0,"strategy":["unit","posunitpara"],"max_dseconds":1}
% 5.17/1.01  
% 5.17/1.01  
% 5.17/1.01  fork 5: search terminated without proof.
% 5.17/1.02  
% 5.17/1.02  
% 5.17/1.02  fork 1: search terminated without proof.
% 5.17/1.02  
% 5.17/1.02  fork 2: search finished without proof.
% 5.17/1.03  
% 5.17/1.03  **** run 46 fork 5 starts with strategy
% 5.17/1.03  {"max_dseconds":1,"strategy":["positive_pref"],"query_preference":0}
% 5.17/1.04  
% 5.17/1.04  fork 0: search finished without proof.
% 5.17/1.04  
% 5.17/1.04  **** run 35 fork 2 starts with strategy
% 5.17/1.04  {"max_dseconds":1,"strategy":["hardness_pref","posunitpara"],"query_preference":0,"depth_penalty":50,"length_penalty":100}
% 5.55/1.05  
% 5.55/1.05  **** run 34 fork 1 starts with strategy
% 5.55/1.05  {"depth_penalty":100,"query_preference":0,"strategy":["unit","posunitpara"],"max_dseconds":1}
% 5.55/1.06  
% 5.55/1.06  **** run 41 fork 0 starts with strategy
% 5.55/1.06  {"sine":2,"query_preference":0,"strategy":["unit"],"max_dseconds":1}
% 5.55/1.09  
% 5.55/1.09  fork 3: search finished without proof.
% 5.55/1.09  
% 5.55/1.09  fork 4: search finished without proof.
% 5.55/1.09  
% 5.55/1.09  
% 5.55/1.09  fork 6: search terminated without proof.
% 5.55/1.10  
% 5.55/1.10  
% 5.55/1.10  fork 7: search terminated without proof.
% 5.55/1.11  
% 5.55/1.11  fork 1: search finished without proof.
% 5.55/1.11  
% 5.55/1.11  **** run 44 fork 3 starts with strategy
% 5.55/1.11  {"max_dseconds":1,"strategy":["query_focus","unit"],"query_preference":0}
% 5.55/1.11  
% 5.55/1.11  **** run 45 fork 4 starts with strategy
% 5.55/1.11  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0,"weight_select_ratio":100,"depth_penalty":100,"length_penalty":100}
% 5.55/1.11  
% 5.55/1.11  **** run 47 fork 6 starts with strategy
% 5.55/1.11  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0,"max_depth":4}
% 5.55/1.12  
% 5.55/1.12  **** run 48 fork 7 starts with strategy
% 5.55/1.12  {"max_dseconds":1,"sine":5,"strategy":["negative_pref"],"query_preference":0,"max_depth":4}
% 5.55/1.13  
% 5.55/1.13  **** run 42 fork 1 starts with strategy
% 5.55/1.13  {"weight_select_ratio":100,"rewrite":0,"depth_penalty":100,"query_preference":0,"strategy":["unit","posunitpara"],"max_dseconds":1}
% 6.30/1.16  
% 6.30/1.16  
% 6.30/1.16  fork 5: search terminated without proof.
% 6.30/1.16  
% 6.30/1.16  fork 2: search finished without proof.
% 6.30/1.17  
% 6.30/1.17  **** run 54 fork 5 starts with strategy
% 6.30/1.17  {"max_dseconds":1,"strategy":["query_focus","unit"],"query_preference":0,"sine":2}
% 6.30/1.18  
% 6.30/1.18  **** run 43 fork 2 starts with strategy
% 6.30/1.18  {"max_dseconds":1,"strategy":["unit","pure_unit"],"max_size":30,"max_depth":10,"max_weight":300,"weight_select_ratio":1,"rewrite":0}
% 6.30/1.18  
% 6.30/1.18  fork 0: search finished without proof.
% 6.74/1.20  
% 6.74/1.20  **** run 49 fork 0 starts with strategy
% 6.74/1.20  {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"var_weight":1,"depth_penalty":100,"repeat_var_weight":1}
% 6.74/1.21  
% 6.74/1.21  fork 2: search finished without proof.
% 6.74/1.22  
% 6.74/1.22  fork 1: search finished without proof.
% 6.74/1.23  
% 6.74/1.23  **** run 51 fork 2 starts with strategy
% 6.74/1.23  {"max_dseconds":1,"strategy":["negative_pref","prohibit_nested_para"],"query_preference":0}
% 6.74/1.23  
% 6.74/1.23  **** run 50 fork 1 starts with strategy
% 6.74/1.23  {"max_dseconds":1,"strategy":["positive_pref"],"query_preference":0,"reverse_clauselist":1,"length_penalty":100}
% 6.74/1.24  
% 6.74/1.24  
% 6.74/1.24  fork 3: search terminated without proof.
% 6.74/1.24  
% 6.74/1.24  fork 6: search finished without proof.
% 6.74/1.24  
% 6.74/1.24  
% 6.74/1.24  fork 4: search terminated without proof.
% 7.17/1.25  
% 7.17/1.25  fork 7: search finished without proof.
% 7.19/1.26  
% 7.19/1.26  **** run 52 fork 3 starts with strategy
% 7.19/1.26  {"max_dseconds":1,"strategy":["unit","pure_unit"],"query_preference":0}
% 7.19/1.26  
% 7.19/1.26  **** run 53 fork 4 starts with strategy
% 7.19/1.26  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0,"depth_penalty":100,"sine":1}
% 7.19/1.26  
% 7.19/1.26  **** run 55 fork 6 starts with strategy
% 7.19/1.26  {"sine":1,"var_weight":70,"repeat_var_weight":70,"query_preference":0,"strategy":["negative_pref","max_weight"],"max_dseconds":1}
% 7.19/1.27  
% 7.19/1.27  **** run 56 fork 7 starts with strategy
% 7.19/1.27  {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"rewrite":0}
% 7.19/1.29  
% 7.19/1.29  fork 3: search finished without proof.
% 7.56/1.30  
% 7.56/1.30  
% 7.56/1.30  fork 5: search terminated without proof.
% 7.56/1.31  
% 7.56/1.31  **** run 60 fork 3 starts with strategy
% 7.56/1.31  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0,"max_depth":2}
% 7.56/1.32  
% 7.56/1.32  **** run 62 fork 5 starts with strategy
% 7.56/1.32  {"weight_select_ratio":100,"query_preference":0,"strategy":["negative_pref","max_weight"],"max_dseconds":1}
% 7.56/1.33  
% 7.56/1.33  
% 7.56/1.33  fork 0: search terminated without proof.
% 7.94/1.35  
% 7.94/1.35  **** run 57 fork 0 starts with strategy
% 7.94/1.35  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0,"sine":1}
% 7.94/1.36  
% 7.94/1.36  fork 2: search finished without proof.
% 7.94/1.37  
% 7.94/1.37  
% 7.94/1.37  fork 1: search terminated without proof.
% 7.94/1.38  
% 7.94/1.38  **** run 59 fork 2 starts with strategy
% 7.94/1.38  {"weight_select_ratio":100,"var_weight":70,"repeat_var_weight":70,"rewrite":0,"query_preference":0,"strategy":["query_focus","posunitpara"],"max_dseconds":1}
% 7.94/1.38  
% 7.94/1.38  fork 6: search finished without proof.
% 7.94/1.39  
% 7.94/1.39  
% 7.94/1.39  fork 4: search terminated without proof.
% 7.94/1.39  
% 7.94/1.39  **** run 58 fork 1 starts with strategy
% 7.94/1.39  {"max_dseconds":1,"strategy":["unit","pure_unit"],"weight_select_ratio":1,"query_preference":0}
% 7.94/1.39  
% 7.94/1.39  fork 7: search finished without proof.
% 7.94/1.40  
% 7.94/1.40  **** run 63 fork 6 starts with strategy
% 7.94/1.40  {"weight_select_ratio":100,"var_weight":70,"repeat_var_weight":70,"query_preference":0,"strategy":["hardness_pref"],"max_dseconds":1}
% 7.94/1.41  
% 7.94/1.41  **** run 61 fork 4 starts with strategy
% 7.94/1.41  {"max_dseconds":1,"strategy":["hardness_pref"],"query_preference":0,"weight_select_ratio":1,"depth_penalty":50,"length_penalty":100,"sine":2}
% 7.94/1.41  
% 7.94/1.41  **** run 64 fork 7 starts with strategy
% 7.94/1.41  {"max_dseconds":1,"strategy":["positive_pref"],"query_preference":0,"reverse_clauselist":1}
% 7.94/1.43  
% 7.94/1.43  fork 1: search finished without proof.
% 7.94/1.44  
% 7.94/1.44  fork 3: search finished without proof.
% 7.94/1.45  
% 7.94/1.45  fork 5: search finished without proof.
% 7.94/1.45  
% 7.94/1.45  **** run 66 fork 1 starts with strategy
% 7.94/1.45  {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"max_depth":4}
% 7.94/1.46  
% 7.94/1.46  **** run 68 fork 3 starts with strategy
% 7.94/1.46  {"max_dseconds":10,"sine":3,"strategy":["hardness_pref"],"query_preference":0}
% 7.94/1.47  
% 7.94/1.47  **** run 70 fork 5 starts with strategy
% 7.94/1.47  {"max_dseconds":10,"sine":5,"strategy":["negative_pref"],"query_preference":0}
% 7.94/1.48  
% 7.94/1.48  fork 0: search finished without proof.
% 7.94/1.50  
% 7.94/1.50  **** run 65 fork 0 starts with strategy
% 7.94/1.50  {"var_weight":70,"repeat_var_weight":70,"query_preference":0,"strategy":["positive_pref"],"max_dseconds":1}
% 7.94/1.51  
% 7.94/1.51  
% 7.94/1.51  fork 2: search terminated without proof.
% 7.94/1.53  
% 7.94/1.53  **** run 67 fork 2 starts with strategy
% 7.94/1.53  {"max_dseconds":10,"strategy":["hardness_pref"],"query_preference":0}
% 7.94/1.54  
% 7.94/1.54  
% 7.94/1.54  fork 7: search terminated without proof.
% 7.94/1.56  
% 7.94/1.56  
% 7.94/1.56  fork 4: search terminated without proof.
% 7.94/1.56  
% 7.94/1.56  **** run 72 fork 7 starts with strategy
% 7.94/1.56  {"max_dseconds":10,"strategy":["unit","prohibit_unordered_para"],"query_preference":0}
% 7.94/1.57  
% 7.94/1.57  **** run 69 fork 4 starts with strategy
% 7.94/1.57  {"max_dseconds":10,"sine":5,"strategy":["hardness_pref"],"query_preference":0}
% 7.94/1.58  
% 7.94/1.58  
% 7.94/1.58  fork 6: search terminated without proof.
% 8.91/1.60  
% 8.91/1.60  **** run 71 fork 6 starts with strategy
% 8.91/1.60  {"max_dseconds":10,"strategy":["negative_pref","prohibit_unordered_para"],"query_preference":0}
% 8.91/1.62  
% 8.91/1.62  fork 1: search finished without proof.
% 8.91/1.63  
% 8.91/1.63  **** run 74 fork 1 starts with strategy
% 8.91/1.63  {"max_dseconds":10,"strategy":["hardness_pref","prohibit_unordered_para"],"query_preference":1}
% 8.91/1.64  
% 8.91/1.64  
% 8.91/1.64  fork 0: search terminated without proof.
% 10.18/1.66  
% 10.18/1.66  **** run 73 fork 0 starts with strategy
% 10.18/1.66  {"max_dseconds":10,"strategy":["unit","prohibit_unordered_para"],"query_preference":1}
% 16.09/2.47  
% 16.09/2.47  
% 16.09/2.47  result: proof found
% 16.09/2.47  for /export/starexec/sandbox2/benchmark/theBenchmark.p 
% 16.09/2.47  by run 71 fork 6 strategy {"max_dseconds":10,"strategy":["negative_pref","prohibit_unordered_para"],"query_preference":0}
% 16.09/2.47  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p 
% 16.09/2.47  
% 16.09/2.47  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p 
% See solution above
% 16.09/2.47  
% 16.09/2.47  run 71 fork 6 statistics:
% 16.09/2.47  ----------------------------------
% 16.09/2.47  this run seconds: 0.720728
% 16.09/2.47  total seconds: 1.948844
% 16.09/2.47  stat_given_used: 2495
% 16.09/2.47  stat_given_used_at_endgame: 0
% 16.09/2.47  stat_given_candidates:   17836
% 16.09/2.47  stat_given_candidates_at_endgame: 0
% 16.09/2.47  stat_given_candidates_h: 0
% 16.09/2.47  stat_binres_derived_cl:   5178
% 16.09/2.47  stat_binres_derived_cl_h: 0
% 16.09/2.47  stat_factor_derived_cl: 0
% 16.09/2.47  stat_para_derived_cl: 65539
% 16.09/2.47  stat_tautologies_discarded: 1452
% 16.09/2.47  stat_forward_subsumed: 15145
% 16.09/2.47  stat_derived_cut: 12215
% 16.09/2.47  stat_derived_rewritten: 1811
% 16.09/2.47  stat_weight_discarded_building: 0
% 16.09/2.47  stat_weight_discarded_cl: 7133
% 16.09/2.47  stat_internlimit_discarded_cl: 0
% 16.09/2.47  stat_simplified:  4089 simplified 0 derived 0 given
% 16.09/2.47  stat_kept_cl: 44257
% 16.09/2.47  stat_built_cl: 60468
% 16.09/2.47  stat_hyperres_partial_cl: 0
% 16.09/2.47  stat_made_rewriters: 15
% 16.09/2.47  stat_backward_subsumed: 0
% 16.09/2.47  stat_propagated_subsumed: 0
% 16.09/2.47  stat_clsubs_attempted:                     40515
% 16.09/2.47  stat_clsubs_fact_groundunit_found:            13
% 16.09/2.47  stat_clsubs_rule_groundunit_found:           774
% 16.09/2.47  stat_clsubs_top_meta_attempted:           17062016
% 16.09/2.47  stat_clsubs_top_meta_failed:              17021501
% 16.09/2.47  stat_clsubs_top_meta_nonpref_attempted:            17062016
% 16.09/2.47  stat_clsubs_top_meta_nonpref_succeeded:             4758729
% 16.09/2.47  stat_clsubs_top_meta_pref_attempted:                4758729
% 16.09/2.47  stat_clsubs_top_meta_pref1_succeeded:               3020165
% 16.09/2.47  stat_clsubs_top_meta_pref2_succeeded:                 73461
% 16.09/2.47  stat_clsubs_top_meta_pref3_succeeded:                 40515
% 16.09/2.47  stat_clsubs_top_meta_pref_succeeded:                  40515
% 16.09/2.47  stat_clsubs_meta_attempted:               110432
% 16.09/2.47  stat_clsubs_meta_failed:                   74212
% 16.09/2.47  stat_clsubs_predsymbs_attempted:               0
% 16.09/2.47  stat_clsubs_unit_attempted:                    0
% 16.09/2.47  stat_clsubs_full_attempted:                40515
% 16.09/2.47  stat_forwardsubs_attempted:                66535
% 16.09/2.47  stat_lit_hash_added:                   2055
% 16.09/2.47  stat_lit_hash_computed:              671026
% 16.09/2.47  stat_lit_hash_match_found:            38462
% 16.09/2.47  stat_lit_hash_match_miss:           1070368
% 16.09/2.47  stat_lit_hash_cut_ok:                 19775
% 16.09/2.47  stat_lit_strong_cut_ok:                   0
% 16.09/2.47  stat_lit_hash_subsume_ok:             15145
% 16.09/2.47  clqueue els 10000000 used 1
% 16.09/2.47  clactive els 10000000 used 2496
% 16.09/2.47  clactivesubsume els 10000000 used 13915
% 16.09/2.47  queue_termbuf els 200000000 used 4003881
% 16.09/2.47  hyper_termbuf els 100000000 used 1
% 16.09/2.47  active_termbuf els 100000000 used 100271
% 16.09/2.47  varstack els 5000 last used 1
% 16.09/2.47  given_termbuf els 10000000 last used 1
% 16.09/2.47  simplified_termbuf els 10000000 last used 1
% 16.09/2.47  derived_termbuf els 10000000 last used 3
% 16.09/2.47  wr_mallocs: 14285
% 16.09/2.47  wr_callocs: 21
% 16.09/2.47  wr_reallocs: 1232
% 16.09/2.47  wr_frees: 4
% 16.09/2.47  wr_malloc_bytes: 4163068532
% 16.09/2.47  wr_calloc_bytes: 112065536
% 16.09/2.47  wr_realloc_bytes: 1119024
% 16.09/2.47  wr_realloc_freebytes: 0
% 16.09/2.47  ----------------------------------
%------------------------------------------------------------------------------