TSTP Solution File: ALG037+1 by GKC---0.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : GKC---0.8
% Problem  : ALG037+1 : TPTP v8.1.2. Released v2.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : gkc %s

% Computer : n001.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 16:27:32 EDT 2023

% Result   : Theorem 16.57s 2.58s
% Output   : CNFRefutation 16.57s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named input)

% Comments : 
%------------------------------------------------------------------------------
fof('co1_$sk',plain,
    ( ( ( h12(e13) != e23
        & h12(e12) != e23
        & h12(e11) != e23
        & h12(e10) != e23 )
      | ( h12(e13) != e22
        & h12(e12) != e22
        & h12(e11) != e22
        & h12(e10) != e22 )
      | ( h12(e13) != e21
        & h12(e12) != e21
        & h12(e11) != e21
        & h12(e10) != e21 )
      | ( h12(e13) != e20
        & h12(e12) != e20
        & h12(e11) != e20
        & h12(e10) != e20 )
      | h12(op1(e13,e13)) != op2(h12(e13),h12(e13))
      | h12(op1(e13,e12)) != op2(h12(e13),h12(e12))
      | h12(op1(e13,e11)) != op2(h12(e13),h12(e11))
      | h12(op1(e13,e10)) != op2(h12(e13),h12(e10))
      | h12(op1(e12,e13)) != op2(h12(e12),h12(e13))
      | h12(op1(e12,e12)) != op2(h12(e12),h12(e12))
      | h12(op1(e12,e11)) != op2(h12(e12),h12(e11))
      | h12(op1(e12,e10)) != op2(h12(e12),h12(e10))
      | h12(op1(e11,e13)) != op2(h12(e11),h12(e13))
      | h12(op1(e11,e12)) != op2(h12(e11),h12(e12))
      | h12(op1(e11,e11)) != op2(h12(e11),h12(e11))
      | h12(op1(e11,e10)) != op2(h12(e11),h12(e10))
      | h12(op1(e10,e13)) != op2(h12(e10),h12(e13))
      | h12(op1(e10,e12)) != op2(h12(e10),h12(e12))
      | h12(op1(e10,e11)) != op2(h12(e10),h12(e11))
      | h12(op1(e10,e10)) != op2(h12(e10),h12(e10)) )
    & ( ( h11(e13) != e23
        & h11(e12) != e23
        & h11(e11) != e23
        & h11(e10) != e23 )
      | ( h11(e13) != e22
        & h11(e12) != e22
        & h11(e11) != e22
        & h11(e10) != e22 )
      | ( h11(e13) != e21
        & h11(e12) != e21
        & h11(e11) != e21
        & h11(e10) != e21 )
      | ( h11(e13) != e20
        & h11(e12) != e20
        & h11(e11) != e20
        & h11(e10) != e20 )
      | h11(op1(e13,e13)) != op2(h11(e13),h11(e13))
      | h11(op1(e13,e12)) != op2(h11(e13),h11(e12))
      | h11(op1(e13,e11)) != op2(h11(e13),h11(e11))
      | h11(op1(e13,e10)) != op2(h11(e13),h11(e10))
      | h11(op1(e12,e13)) != op2(h11(e12),h11(e13))
      | h11(op1(e12,e12)) != op2(h11(e12),h11(e12))
      | h11(op1(e12,e11)) != op2(h11(e12),h11(e11))
      | h11(op1(e12,e10)) != op2(h11(e12),h11(e10))
      | h11(op1(e11,e13)) != op2(h11(e11),h11(e13))
      | h11(op1(e11,e12)) != op2(h11(e11),h11(e12))
      | h11(op1(e11,e11)) != op2(h11(e11),h11(e11))
      | h11(op1(e11,e10)) != op2(h11(e11),h11(e10))
      | h11(op1(e10,e13)) != op2(h11(e10),h11(e13))
      | h11(op1(e10,e12)) != op2(h11(e10),h11(e12))
      | h11(op1(e10,e11)) != op2(h11(e10),h11(e11))
      | h11(op1(e10,e10)) != op2(h11(e10),h11(e10)) )
    & ( ( h10(e13) != e23
        & h10(e12) != e23
        & h10(e11) != e23
        & h10(e10) != e23 )
      | ( h10(e13) != e22
        & h10(e12) != e22
        & h10(e11) != e22
        & h10(e10) != e22 )
      | ( h10(e13) != e21
        & h10(e12) != e21
        & h10(e11) != e21
        & h10(e10) != e21 )
      | ( h10(e13) != e20
        & h10(e12) != e20
        & h10(e11) != e20
        & h10(e10) != e20 )
      | h10(op1(e13,e13)) != op2(h10(e13),h10(e13))
      | h10(op1(e13,e12)) != op2(h10(e13),h10(e12))
      | h10(op1(e13,e11)) != op2(h10(e13),h10(e11))
      | h10(op1(e13,e10)) != op2(h10(e13),h10(e10))
      | h10(op1(e12,e13)) != op2(h10(e12),h10(e13))
      | h10(op1(e12,e12)) != op2(h10(e12),h10(e12))
      | h10(op1(e12,e11)) != op2(h10(e12),h10(e11))
      | h10(op1(e12,e10)) != op2(h10(e12),h10(e10))
      | h10(op1(e11,e13)) != op2(h10(e11),h10(e13))
      | h10(op1(e11,e12)) != op2(h10(e11),h10(e12))
      | h10(op1(e11,e11)) != op2(h10(e11),h10(e11))
      | h10(op1(e11,e10)) != op2(h10(e11),h10(e10))
      | h10(op1(e10,e13)) != op2(h10(e10),h10(e13))
      | h10(op1(e10,e12)) != op2(h10(e10),h10(e12))
      | h10(op1(e10,e11)) != op2(h10(e10),h10(e11))
      | h10(op1(e10,e10)) != op2(h10(e10),h10(e10)) )
    & ( ( h9(e13) != e23
        & h9(e12) != e23
        & h9(e11) != e23
        & h9(e10) != e23 )
      | ( h9(e13) != e22
        & h9(e12) != e22
        & h9(e11) != e22
        & h9(e10) != e22 )
      | ( h9(e13) != e21
        & h9(e12) != e21
        & h9(e11) != e21
        & h9(e10) != e21 )
      | ( h9(e13) != e20
        & h9(e12) != e20
        & h9(e11) != e20
        & h9(e10) != e20 )
      | h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
      | h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
      | h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
      | h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
      | h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
      | h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
      | h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
      | h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
      | h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
      | h9(op1(e11,e12)) != op2(h9(e11),h9(e12))
      | h9(op1(e11,e11)) != op2(h9(e11),h9(e11))
      | h9(op1(e11,e10)) != op2(h9(e11),h9(e10))
      | h9(op1(e10,e13)) != op2(h9(e10),h9(e13))
      | h9(op1(e10,e12)) != op2(h9(e10),h9(e12))
      | h9(op1(e10,e11)) != op2(h9(e10),h9(e11))
      | h9(op1(e10,e10)) != op2(h9(e10),h9(e10)) )
    & ( ( h8(e13) != e23
        & h8(e12) != e23
        & h8(e11) != e23
        & h8(e10) != e23 )
      | ( h8(e13) != e22
        & h8(e12) != e22
        & h8(e11) != e22
        & h8(e10) != e22 )
      | ( h8(e13) != e21
        & h8(e12) != e21
        & h8(e11) != e21
        & h8(e10) != e21 )
      | ( h8(e13) != e20
        & h8(e12) != e20
        & h8(e11) != e20
        & h8(e10) != e20 )
      | h8(op1(e13,e13)) != op2(h8(e13),h8(e13))
      | h8(op1(e13,e12)) != op2(h8(e13),h8(e12))
      | h8(op1(e13,e11)) != op2(h8(e13),h8(e11))
      | h8(op1(e13,e10)) != op2(h8(e13),h8(e10))
      | h8(op1(e12,e13)) != op2(h8(e12),h8(e13))
      | h8(op1(e12,e12)) != op2(h8(e12),h8(e12))
      | h8(op1(e12,e11)) != op2(h8(e12),h8(e11))
      | h8(op1(e12,e10)) != op2(h8(e12),h8(e10))
      | h8(op1(e11,e13)) != op2(h8(e11),h8(e13))
      | h8(op1(e11,e12)) != op2(h8(e11),h8(e12))
      | h8(op1(e11,e11)) != op2(h8(e11),h8(e11))
      | h8(op1(e11,e10)) != op2(h8(e11),h8(e10))
      | h8(op1(e10,e13)) != op2(h8(e10),h8(e13))
      | h8(op1(e10,e12)) != op2(h8(e10),h8(e12))
      | h8(op1(e10,e11)) != op2(h8(e10),h8(e11))
      | h8(op1(e10,e10)) != op2(h8(e10),h8(e10)) )
    & ( ( h7(e13) != e23
        & h7(e12) != e23
        & h7(e11) != e23
        & h7(e10) != e23 )
      | ( h7(e13) != e22
        & h7(e12) != e22
        & h7(e11) != e22
        & h7(e10) != e22 )
      | ( h7(e13) != e21
        & h7(e12) != e21
        & h7(e11) != e21
        & h7(e10) != e21 )
      | ( h7(e13) != e20
        & h7(e12) != e20
        & h7(e11) != e20
        & h7(e10) != e20 )
      | h7(op1(e13,e13)) != op2(h7(e13),h7(e13))
      | h7(op1(e13,e12)) != op2(h7(e13),h7(e12))
      | h7(op1(e13,e11)) != op2(h7(e13),h7(e11))
      | h7(op1(e13,e10)) != op2(h7(e13),h7(e10))
      | h7(op1(e12,e13)) != op2(h7(e12),h7(e13))
      | h7(op1(e12,e12)) != op2(h7(e12),h7(e12))
      | h7(op1(e12,e11)) != op2(h7(e12),h7(e11))
      | h7(op1(e12,e10)) != op2(h7(e12),h7(e10))
      | h7(op1(e11,e13)) != op2(h7(e11),h7(e13))
      | h7(op1(e11,e12)) != op2(h7(e11),h7(e12))
      | h7(op1(e11,e11)) != op2(h7(e11),h7(e11))
      | h7(op1(e11,e10)) != op2(h7(e11),h7(e10))
      | h7(op1(e10,e13)) != op2(h7(e10),h7(e13))
      | h7(op1(e10,e12)) != op2(h7(e10),h7(e12))
      | h7(op1(e10,e11)) != op2(h7(e10),h7(e11))
      | h7(op1(e10,e10)) != op2(h7(e10),h7(e10)) )
    & ( ( h6(e13) != e23
        & h6(e12) != e23
        & h6(e11) != e23
        & h6(e10) != e23 )
      | ( h6(e13) != e22
        & h6(e12) != e22
        & h6(e11) != e22
        & h6(e10) != e22 )
      | ( h6(e13) != e21
        & h6(e12) != e21
        & h6(e11) != e21
        & h6(e10) != e21 )
      | ( h6(e13) != e20
        & h6(e12) != e20
        & h6(e11) != e20
        & h6(e10) != e20 )
      | h6(op1(e13,e13)) != op2(h6(e13),h6(e13))
      | h6(op1(e13,e12)) != op2(h6(e13),h6(e12))
      | h6(op1(e13,e11)) != op2(h6(e13),h6(e11))
      | h6(op1(e13,e10)) != op2(h6(e13),h6(e10))
      | h6(op1(e12,e13)) != op2(h6(e12),h6(e13))
      | h6(op1(e12,e12)) != op2(h6(e12),h6(e12))
      | h6(op1(e12,e11)) != op2(h6(e12),h6(e11))
      | h6(op1(e12,e10)) != op2(h6(e12),h6(e10))
      | h6(op1(e11,e13)) != op2(h6(e11),h6(e13))
      | h6(op1(e11,e12)) != op2(h6(e11),h6(e12))
      | h6(op1(e11,e11)) != op2(h6(e11),h6(e11))
      | h6(op1(e11,e10)) != op2(h6(e11),h6(e10))
      | h6(op1(e10,e13)) != op2(h6(e10),h6(e13))
      | h6(op1(e10,e12)) != op2(h6(e10),h6(e12))
      | h6(op1(e10,e11)) != op2(h6(e10),h6(e11))
      | h6(op1(e10,e10)) != op2(h6(e10),h6(e10)) )
    & ( ( h5(e13) != e23
        & h5(e12) != e23
        & h5(e11) != e23
        & h5(e10) != e23 )
      | ( h5(e13) != e22
        & h5(e12) != e22
        & h5(e11) != e22
        & h5(e10) != e22 )
      | ( h5(e13) != e21
        & h5(e12) != e21
        & h5(e11) != e21
        & h5(e10) != e21 )
      | ( h5(e13) != e20
        & h5(e12) != e20
        & h5(e11) != e20
        & h5(e10) != e20 )
      | h5(op1(e13,e13)) != op2(h5(e13),h5(e13))
      | h5(op1(e13,e12)) != op2(h5(e13),h5(e12))
      | h5(op1(e13,e11)) != op2(h5(e13),h5(e11))
      | h5(op1(e13,e10)) != op2(h5(e13),h5(e10))
      | h5(op1(e12,e13)) != op2(h5(e12),h5(e13))
      | h5(op1(e12,e12)) != op2(h5(e12),h5(e12))
      | h5(op1(e12,e11)) != op2(h5(e12),h5(e11))
      | h5(op1(e12,e10)) != op2(h5(e12),h5(e10))
      | h5(op1(e11,e13)) != op2(h5(e11),h5(e13))
      | h5(op1(e11,e12)) != op2(h5(e11),h5(e12))
      | h5(op1(e11,e11)) != op2(h5(e11),h5(e11))
      | h5(op1(e11,e10)) != op2(h5(e11),h5(e10))
      | h5(op1(e10,e13)) != op2(h5(e10),h5(e13))
      | h5(op1(e10,e12)) != op2(h5(e10),h5(e12))
      | h5(op1(e10,e11)) != op2(h5(e10),h5(e11))
      | h5(op1(e10,e10)) != op2(h5(e10),h5(e10)) )
    & ( ( h4(e13) != e23
        & h4(e12) != e23
        & h4(e11) != e23
        & h4(e10) != e23 )
      | ( h4(e13) != e22
        & h4(e12) != e22
        & h4(e11) != e22
        & h4(e10) != e22 )
      | ( h4(e13) != e21
        & h4(e12) != e21
        & h4(e11) != e21
        & h4(e10) != e21 )
      | ( h4(e13) != e20
        & h4(e12) != e20
        & h4(e11) != e20
        & h4(e10) != e20 )
      | h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
      | h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
      | h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
      | h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
      | h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
      | h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
      | h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
      | h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
      | h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
      | h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
      | h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
      | h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
      | h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
      | h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
      | h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
      | h4(op1(e10,e10)) != op2(h4(e10),h4(e10)) )
    & ( ( h3(e13) != e23
        & h3(e12) != e23
        & h3(e11) != e23
        & h3(e10) != e23 )
      | ( h3(e13) != e22
        & h3(e12) != e22
        & h3(e11) != e22
        & h3(e10) != e22 )
      | ( h3(e13) != e21
        & h3(e12) != e21
        & h3(e11) != e21
        & h3(e10) != e21 )
      | ( h3(e13) != e20
        & h3(e12) != e20
        & h3(e11) != e20
        & h3(e10) != e20 )
      | h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
      | h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
      | h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
      | h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
      | h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
      | h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
      | h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
      | h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
      | h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
      | h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
      | h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
      | h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
      | h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
      | h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
      | h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
      | h3(op1(e10,e10)) != op2(h3(e10),h3(e10)) )
    & ( ( h2(e13) != e23
        & h2(e12) != e23
        & h2(e11) != e23
        & h2(e10) != e23 )
      | ( h2(e13) != e22
        & h2(e12) != e22
        & h2(e11) != e22
        & h2(e10) != e22 )
      | ( h2(e13) != e21
        & h2(e12) != e21
        & h2(e11) != e21
        & h2(e10) != e21 )
      | ( h2(e13) != e20
        & h2(e12) != e20
        & h2(e11) != e20
        & h2(e10) != e20 )
      | h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
      | h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
      | h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
      | h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
      | h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
      | h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
      | h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
      | h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
      | h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
      | h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
      | h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
      | h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
      | h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
      | h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
      | h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
      | h2(op1(e10,e10)) != op2(h2(e10),h2(e10)) )
    & ( ( h1(e13) != e23
        & h1(e12) != e23
        & h1(e11) != e23
        & h1(e10) != e23 )
      | ( h1(e13) != e22
        & h1(e12) != e22
        & h1(e11) != e22
        & h1(e10) != e22 )
      | ( h1(e13) != e21
        & h1(e12) != e21
        & h1(e11) != e21
        & h1(e10) != e21 )
      | ( h1(e13) != e20
        & h1(e12) != e20
        & h1(e11) != e20
        & h1(e10) != e20 )
      | h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
      | h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
      | h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
      | h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
      | h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
      | h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
      | h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
      | h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
      | h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
      | h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
      | h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
      | h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
      | h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
      | h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
      | h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
      | h1(op1(e10,e10)) != op2(h1(e10),h1(e10)) ) ),
    inference(negpush_and_skolemize,[],[co1]) ).

fof(co1,conjecture,
    ( ( h1(op1(e10,e10)) = op2(h1(e10),h1(e10))
      & h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
      & h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
      & h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
      & h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
      & h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
      & h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
      & h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
      & h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
      & h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
      & h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
      & h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
      & h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
      & h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
      & h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
      & h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
      & ( h1(e10) = e20
        | h1(e11) = e20
        | h1(e12) = e20
        | h1(e13) = e20 )
      & ( h1(e10) = e21
        | h1(e11) = e21
        | h1(e12) = e21
        | h1(e13) = e21 )
      & ( h1(e10) = e22
        | h1(e11) = e22
        | h1(e12) = e22
        | h1(e13) = e22 )
      & ( h1(e10) = e23
        | h1(e11) = e23
        | h1(e12) = e23
        | h1(e13) = e23 ) )
    | ( h2(op1(e10,e10)) = op2(h2(e10),h2(e10))
      & h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
      & h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
      & h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
      & h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
      & h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
      & h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
      & h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
      & h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
      & h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
      & h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
      & h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
      & h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
      & h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
      & h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
      & h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
      & ( h2(e10) = e20
        | h2(e11) = e20
        | h2(e12) = e20
        | h2(e13) = e20 )
      & ( h2(e10) = e21
        | h2(e11) = e21
        | h2(e12) = e21
        | h2(e13) = e21 )
      & ( h2(e10) = e22
        | h2(e11) = e22
        | h2(e12) = e22
        | h2(e13) = e22 )
      & ( h2(e10) = e23
        | h2(e11) = e23
        | h2(e12) = e23
        | h2(e13) = e23 ) )
    | ( h3(op1(e10,e10)) = op2(h3(e10),h3(e10))
      & h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
      & h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
      & h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
      & h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
      & h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
      & h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
      & h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
      & h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
      & h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
      & h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
      & h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
      & h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
      & h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
      & h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
      & h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
      & ( h3(e10) = e20
        | h3(e11) = e20
        | h3(e12) = e20
        | h3(e13) = e20 )
      & ( h3(e10) = e21
        | h3(e11) = e21
        | h3(e12) = e21
        | h3(e13) = e21 )
      & ( h3(e10) = e22
        | h3(e11) = e22
        | h3(e12) = e22
        | h3(e13) = e22 )
      & ( h3(e10) = e23
        | h3(e11) = e23
        | h3(e12) = e23
        | h3(e13) = e23 ) )
    | ( h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
      & h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
      & h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
      & h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
      & h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
      & h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
      & h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
      & h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
      & h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
      & h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
      & h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
      & h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
      & h4(op1(e13,e10)) = op2(h4(e13),h4(e10))
      & h4(op1(e13,e11)) = op2(h4(e13),h4(e11))
      & h4(op1(e13,e12)) = op2(h4(e13),h4(e12))
      & h4(op1(e13,e13)) = op2(h4(e13),h4(e13))
      & ( h4(e10) = e20
        | h4(e11) = e20
        | h4(e12) = e20
        | h4(e13) = e20 )
      & ( h4(e10) = e21
        | h4(e11) = e21
        | h4(e12) = e21
        | h4(e13) = e21 )
      & ( h4(e10) = e22
        | h4(e11) = e22
        | h4(e12) = e22
        | h4(e13) = e22 )
      & ( h4(e10) = e23
        | h4(e11) = e23
        | h4(e12) = e23
        | h4(e13) = e23 ) )
    | ( h5(op1(e10,e10)) = op2(h5(e10),h5(e10))
      & h5(op1(e10,e11)) = op2(h5(e10),h5(e11))
      & h5(op1(e10,e12)) = op2(h5(e10),h5(e12))
      & h5(op1(e10,e13)) = op2(h5(e10),h5(e13))
      & h5(op1(e11,e10)) = op2(h5(e11),h5(e10))
      & h5(op1(e11,e11)) = op2(h5(e11),h5(e11))
      & h5(op1(e11,e12)) = op2(h5(e11),h5(e12))
      & h5(op1(e11,e13)) = op2(h5(e11),h5(e13))
      & h5(op1(e12,e10)) = op2(h5(e12),h5(e10))
      & h5(op1(e12,e11)) = op2(h5(e12),h5(e11))
      & h5(op1(e12,e12)) = op2(h5(e12),h5(e12))
      & h5(op1(e12,e13)) = op2(h5(e12),h5(e13))
      & h5(op1(e13,e10)) = op2(h5(e13),h5(e10))
      & h5(op1(e13,e11)) = op2(h5(e13),h5(e11))
      & h5(op1(e13,e12)) = op2(h5(e13),h5(e12))
      & h5(op1(e13,e13)) = op2(h5(e13),h5(e13))
      & ( h5(e10) = e20
        | h5(e11) = e20
        | h5(e12) = e20
        | h5(e13) = e20 )
      & ( h5(e10) = e21
        | h5(e11) = e21
        | h5(e12) = e21
        | h5(e13) = e21 )
      & ( h5(e10) = e22
        | h5(e11) = e22
        | h5(e12) = e22
        | h5(e13) = e22 )
      & ( h5(e10) = e23
        | h5(e11) = e23
        | h5(e12) = e23
        | h5(e13) = e23 ) )
    | ( h6(op1(e10,e10)) = op2(h6(e10),h6(e10))
      & h6(op1(e10,e11)) = op2(h6(e10),h6(e11))
      & h6(op1(e10,e12)) = op2(h6(e10),h6(e12))
      & h6(op1(e10,e13)) = op2(h6(e10),h6(e13))
      & h6(op1(e11,e10)) = op2(h6(e11),h6(e10))
      & h6(op1(e11,e11)) = op2(h6(e11),h6(e11))
      & h6(op1(e11,e12)) = op2(h6(e11),h6(e12))
      & h6(op1(e11,e13)) = op2(h6(e11),h6(e13))
      & h6(op1(e12,e10)) = op2(h6(e12),h6(e10))
      & h6(op1(e12,e11)) = op2(h6(e12),h6(e11))
      & h6(op1(e12,e12)) = op2(h6(e12),h6(e12))
      & h6(op1(e12,e13)) = op2(h6(e12),h6(e13))
      & h6(op1(e13,e10)) = op2(h6(e13),h6(e10))
      & h6(op1(e13,e11)) = op2(h6(e13),h6(e11))
      & h6(op1(e13,e12)) = op2(h6(e13),h6(e12))
      & h6(op1(e13,e13)) = op2(h6(e13),h6(e13))
      & ( h6(e10) = e20
        | h6(e11) = e20
        | h6(e12) = e20
        | h6(e13) = e20 )
      & ( h6(e10) = e21
        | h6(e11) = e21
        | h6(e12) = e21
        | h6(e13) = e21 )
      & ( h6(e10) = e22
        | h6(e11) = e22
        | h6(e12) = e22
        | h6(e13) = e22 )
      & ( h6(e10) = e23
        | h6(e11) = e23
        | h6(e12) = e23
        | h6(e13) = e23 ) )
    | ( h7(op1(e10,e10)) = op2(h7(e10),h7(e10))
      & h7(op1(e10,e11)) = op2(h7(e10),h7(e11))
      & h7(op1(e10,e12)) = op2(h7(e10),h7(e12))
      & h7(op1(e10,e13)) = op2(h7(e10),h7(e13))
      & h7(op1(e11,e10)) = op2(h7(e11),h7(e10))
      & h7(op1(e11,e11)) = op2(h7(e11),h7(e11))
      & h7(op1(e11,e12)) = op2(h7(e11),h7(e12))
      & h7(op1(e11,e13)) = op2(h7(e11),h7(e13))
      & h7(op1(e12,e10)) = op2(h7(e12),h7(e10))
      & h7(op1(e12,e11)) = op2(h7(e12),h7(e11))
      & h7(op1(e12,e12)) = op2(h7(e12),h7(e12))
      & h7(op1(e12,e13)) = op2(h7(e12),h7(e13))
      & h7(op1(e13,e10)) = op2(h7(e13),h7(e10))
      & h7(op1(e13,e11)) = op2(h7(e13),h7(e11))
      & h7(op1(e13,e12)) = op2(h7(e13),h7(e12))
      & h7(op1(e13,e13)) = op2(h7(e13),h7(e13))
      & ( h7(e10) = e20
        | h7(e11) = e20
        | h7(e12) = e20
        | h7(e13) = e20 )
      & ( h7(e10) = e21
        | h7(e11) = e21
        | h7(e12) = e21
        | h7(e13) = e21 )
      & ( h7(e10) = e22
        | h7(e11) = e22
        | h7(e12) = e22
        | h7(e13) = e22 )
      & ( h7(e10) = e23
        | h7(e11) = e23
        | h7(e12) = e23
        | h7(e13) = e23 ) )
    | ( h8(op1(e10,e10)) = op2(h8(e10),h8(e10))
      & h8(op1(e10,e11)) = op2(h8(e10),h8(e11))
      & h8(op1(e10,e12)) = op2(h8(e10),h8(e12))
      & h8(op1(e10,e13)) = op2(h8(e10),h8(e13))
      & h8(op1(e11,e10)) = op2(h8(e11),h8(e10))
      & h8(op1(e11,e11)) = op2(h8(e11),h8(e11))
      & h8(op1(e11,e12)) = op2(h8(e11),h8(e12))
      & h8(op1(e11,e13)) = op2(h8(e11),h8(e13))
      & h8(op1(e12,e10)) = op2(h8(e12),h8(e10))
      & h8(op1(e12,e11)) = op2(h8(e12),h8(e11))
      & h8(op1(e12,e12)) = op2(h8(e12),h8(e12))
      & h8(op1(e12,e13)) = op2(h8(e12),h8(e13))
      & h8(op1(e13,e10)) = op2(h8(e13),h8(e10))
      & h8(op1(e13,e11)) = op2(h8(e13),h8(e11))
      & h8(op1(e13,e12)) = op2(h8(e13),h8(e12))
      & h8(op1(e13,e13)) = op2(h8(e13),h8(e13))
      & ( h8(e10) = e20
        | h8(e11) = e20
        | h8(e12) = e20
        | h8(e13) = e20 )
      & ( h8(e10) = e21
        | h8(e11) = e21
        | h8(e12) = e21
        | h8(e13) = e21 )
      & ( h8(e10) = e22
        | h8(e11) = e22
        | h8(e12) = e22
        | h8(e13) = e22 )
      & ( h8(e10) = e23
        | h8(e11) = e23
        | h8(e12) = e23
        | h8(e13) = e23 ) )
    | ( h9(op1(e10,e10)) = op2(h9(e10),h9(e10))
      & h9(op1(e10,e11)) = op2(h9(e10),h9(e11))
      & h9(op1(e10,e12)) = op2(h9(e10),h9(e12))
      & h9(op1(e10,e13)) = op2(h9(e10),h9(e13))
      & h9(op1(e11,e10)) = op2(h9(e11),h9(e10))
      & h9(op1(e11,e11)) = op2(h9(e11),h9(e11))
      & h9(op1(e11,e12)) = op2(h9(e11),h9(e12))
      & h9(op1(e11,e13)) = op2(h9(e11),h9(e13))
      & h9(op1(e12,e10)) = op2(h9(e12),h9(e10))
      & h9(op1(e12,e11)) = op2(h9(e12),h9(e11))
      & h9(op1(e12,e12)) = op2(h9(e12),h9(e12))
      & h9(op1(e12,e13)) = op2(h9(e12),h9(e13))
      & h9(op1(e13,e10)) = op2(h9(e13),h9(e10))
      & h9(op1(e13,e11)) = op2(h9(e13),h9(e11))
      & h9(op1(e13,e12)) = op2(h9(e13),h9(e12))
      & h9(op1(e13,e13)) = op2(h9(e13),h9(e13))
      & ( h9(e10) = e20
        | h9(e11) = e20
        | h9(e12) = e20
        | h9(e13) = e20 )
      & ( h9(e10) = e21
        | h9(e11) = e21
        | h9(e12) = e21
        | h9(e13) = e21 )
      & ( h9(e10) = e22
        | h9(e11) = e22
        | h9(e12) = e22
        | h9(e13) = e22 )
      & ( h9(e10) = e23
        | h9(e11) = e23
        | h9(e12) = e23
        | h9(e13) = e23 ) )
    | ( h10(op1(e10,e10)) = op2(h10(e10),h10(e10))
      & h10(op1(e10,e11)) = op2(h10(e10),h10(e11))
      & h10(op1(e10,e12)) = op2(h10(e10),h10(e12))
      & h10(op1(e10,e13)) = op2(h10(e10),h10(e13))
      & h10(op1(e11,e10)) = op2(h10(e11),h10(e10))
      & h10(op1(e11,e11)) = op2(h10(e11),h10(e11))
      & h10(op1(e11,e12)) = op2(h10(e11),h10(e12))
      & h10(op1(e11,e13)) = op2(h10(e11),h10(e13))
      & h10(op1(e12,e10)) = op2(h10(e12),h10(e10))
      & h10(op1(e12,e11)) = op2(h10(e12),h10(e11))
      & h10(op1(e12,e12)) = op2(h10(e12),h10(e12))
      & h10(op1(e12,e13)) = op2(h10(e12),h10(e13))
      & h10(op1(e13,e10)) = op2(h10(e13),h10(e10))
      & h10(op1(e13,e11)) = op2(h10(e13),h10(e11))
      & h10(op1(e13,e12)) = op2(h10(e13),h10(e12))
      & h10(op1(e13,e13)) = op2(h10(e13),h10(e13))
      & ( h10(e10) = e20
        | h10(e11) = e20
        | h10(e12) = e20
        | h10(e13) = e20 )
      & ( h10(e10) = e21
        | h10(e11) = e21
        | h10(e12) = e21
        | h10(e13) = e21 )
      & ( h10(e10) = e22
        | h10(e11) = e22
        | h10(e12) = e22
        | h10(e13) = e22 )
      & ( h10(e10) = e23
        | h10(e11) = e23
        | h10(e12) = e23
        | h10(e13) = e23 ) )
    | ( h11(op1(e10,e10)) = op2(h11(e10),h11(e10))
      & h11(op1(e10,e11)) = op2(h11(e10),h11(e11))
      & h11(op1(e10,e12)) = op2(h11(e10),h11(e12))
      & h11(op1(e10,e13)) = op2(h11(e10),h11(e13))
      & h11(op1(e11,e10)) = op2(h11(e11),h11(e10))
      & h11(op1(e11,e11)) = op2(h11(e11),h11(e11))
      & h11(op1(e11,e12)) = op2(h11(e11),h11(e12))
      & h11(op1(e11,e13)) = op2(h11(e11),h11(e13))
      & h11(op1(e12,e10)) = op2(h11(e12),h11(e10))
      & h11(op1(e12,e11)) = op2(h11(e12),h11(e11))
      & h11(op1(e12,e12)) = op2(h11(e12),h11(e12))
      & h11(op1(e12,e13)) = op2(h11(e12),h11(e13))
      & h11(op1(e13,e10)) = op2(h11(e13),h11(e10))
      & h11(op1(e13,e11)) = op2(h11(e13),h11(e11))
      & h11(op1(e13,e12)) = op2(h11(e13),h11(e12))
      & h11(op1(e13,e13)) = op2(h11(e13),h11(e13))
      & ( h11(e10) = e20
        | h11(e11) = e20
        | h11(e12) = e20
        | h11(e13) = e20 )
      & ( h11(e10) = e21
        | h11(e11) = e21
        | h11(e12) = e21
        | h11(e13) = e21 )
      & ( h11(e10) = e22
        | h11(e11) = e22
        | h11(e12) = e22
        | h11(e13) = e22 )
      & ( h11(e10) = e23
        | h11(e11) = e23
        | h11(e12) = e23
        | h11(e13) = e23 ) )
    | ( h12(op1(e10,e10)) = op2(h12(e10),h12(e10))
      & h12(op1(e10,e11)) = op2(h12(e10),h12(e11))
      & h12(op1(e10,e12)) = op2(h12(e10),h12(e12))
      & h12(op1(e10,e13)) = op2(h12(e10),h12(e13))
      & h12(op1(e11,e10)) = op2(h12(e11),h12(e10))
      & h12(op1(e11,e11)) = op2(h12(e11),h12(e11))
      & h12(op1(e11,e12)) = op2(h12(e11),h12(e12))
      & h12(op1(e11,e13)) = op2(h12(e11),h12(e13))
      & h12(op1(e12,e10)) = op2(h12(e12),h12(e10))
      & h12(op1(e12,e11)) = op2(h12(e12),h12(e11))
      & h12(op1(e12,e12)) = op2(h12(e12),h12(e12))
      & h12(op1(e12,e13)) = op2(h12(e12),h12(e13))
      & h12(op1(e13,e10)) = op2(h12(e13),h12(e10))
      & h12(op1(e13,e11)) = op2(h12(e13),h12(e11))
      & h12(op1(e13,e12)) = op2(h12(e13),h12(e12))
      & h12(op1(e13,e13)) = op2(h12(e13),h12(e13))
      & ( h12(e10) = e20
        | h12(e11) = e20
        | h12(e12) = e20
        | h12(e13) = e20 )
      & ( h12(e10) = e21
        | h12(e11) = e21
        | h12(e12) = e21
        | h12(e13) = e21 )
      & ( h12(e10) = e22
        | h12(e11) = e22
        | h12(e12) = e22
        | h12(e13) = e22 )
      & ( h12(e10) = e23
        | h12(e11) = e23
        | h12(e12) = e23
        | h12(e13) = e23 ) ) ),
    input ).

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

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

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

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

fof('ax13_$sk',plain,
    ( ( op2(e23,e23) = e23
      & op2(e22,e22) = e23
      & op2(e21,e21) = e23
      & op2(e20,e20) = e23 )
    | ( op2(e23,e23) = e22
      & op2(e22,e22) = e22
      & op2(e21,e21) = e22
      & op2(e20,e20) = e22 )
    | ( op2(e23,e23) = e21
      & op2(e22,e22) = e21
      & op2(e21,e21) = e21
      & op2(e20,e20) = e21 )
    | ( op2(e23,e23) = e20
      & op2(e22,e22) = e20
      & op2(e21,e21) = e20
      & op2(e20,e20) = e20 ) ),
    inference(negpush_and_skolemize,[],[ax13]) ).

fof(ax13,axiom,
    ( ( op2(e20,e20) = e20
      & op2(e21,e21) = e20
      & op2(e22,e22) = e20
      & op2(e23,e23) = e20 )
    | ( op2(e20,e20) = e21
      & op2(e21,e21) = e21
      & op2(e22,e22) = e21
      & op2(e23,e23) = e21 )
    | ( op2(e20,e20) = e22
      & op2(e21,e21) = e22
      & op2(e22,e22) = e22
      & op2(e23,e23) = e22 )
    | ( op2(e20,e20) = e23
      & op2(e21,e21) = e23
      & op2(e22,e22) = e23
      & op2(e23,e23) = e23 ) ),
    input ).

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

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

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

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

fof('ax17_$sk',plain,
    ( h2(e12) = op2(e22,e20)
    & h2(e10) = op2(e20,e20)
    & h2(e13) = e22
    & h2(e11) = e20 ),
    inference(negpush_and_skolemize,[],[ax17]) ).

fof(ax17,axiom,
    ( h2(e11) = e20
    & h2(e13) = e22
    & h2(e10) = op2(e20,e20)
    & h2(e12) = op2(e22,e20) ),
    input ).

fof('ax18_$sk',plain,
    ( h3(e12) = op2(e23,e20)
    & h3(e10) = op2(e20,e20)
    & h3(e13) = e23
    & h3(e11) = e20 ),
    inference(negpush_and_skolemize,[],[ax18]) ).

fof(ax18,axiom,
    ( h3(e11) = e20
    & h3(e13) = e23
    & h3(e10) = op2(e20,e20)
    & h3(e12) = op2(e23,e20) ),
    input ).

fof('ax23_$sk',plain,
    ( h8(e12) = op2(e21,e22)
    & h8(e10) = op2(e22,e22)
    & h8(e13) = e21
    & h8(e11) = e22 ),
    inference(negpush_and_skolemize,[],[ax23]) ).

fof(ax23,axiom,
    ( h8(e11) = e22
    & h8(e13) = e21
    & h8(e10) = op2(e22,e22)
    & h8(e12) = op2(e21,e22) ),
    input ).

fof('ax24_$sk',plain,
    ( h9(e12) = op2(e23,e22)
    & h9(e10) = op2(e22,e22)
    & h9(e13) = e23
    & h9(e11) = e22 ),
    inference(negpush_and_skolemize,[],[ax24]) ).

fof(ax24,axiom,
    ( h9(e11) = e22
    & h9(e13) = e23
    & h9(e10) = op2(e22,e22)
    & h9(e12) = op2(e23,e22) ),
    input ).

fof('ax26_$sk',plain,
    ( h11(e12) = op2(e21,e23)
    & h11(e10) = op2(e23,e23)
    & h11(e13) = e21
    & h11(e11) = e23 ),
    inference(negpush_and_skolemize,[],[ax26]) ).

fof(ax26,axiom,
    ( h11(e11) = e23
    & h11(e13) = e21
    & h11(e10) = op2(e23,e23)
    & h11(e12) = op2(e21,e23) ),
    input ).

fof('ax27_$sk',plain,
    ( h12(e12) = op2(e22,e23)
    & h12(e10) = op2(e23,e23)
    & h12(e13) = e22
    & h12(e11) = e23 ),
    inference(negpush_and_skolemize,[],[ax27]) ).

fof(ax27,axiom,
    ( h12(e11) = e23
    & h12(e13) = e22
    & h12(e10) = op2(e23,e23)
    & h12(e12) = op2(e22,e23) ),
    input ).

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

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

fof('ax21_$sk',plain,
    ( h6(e12) = op2(e23,e21)
    & h6(e10) = op2(e21,e21)
    & h6(e13) = e23
    & h6(e11) = e21 ),
    inference(negpush_and_skolemize,[],[ax21]) ).

fof(ax21,axiom,
    ( h6(e11) = e21
    & h6(e13) = e23
    & h6(e10) = op2(e21,e21)
    & h6(e12) = op2(e23,e21) ),
    input ).

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

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

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

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

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

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

fof('ax12_$sk',plain,
    ( ( op1(e13,e13) = e13
      & op1(e12,e12) = e13
      & op1(e11,e11) = e13
      & op1(e10,e10) = e13 )
    | ( op1(e13,e13) = e12
      & op1(e12,e12) = e12
      & op1(e11,e11) = e12
      & op1(e10,e10) = e12 )
    | ( op1(e13,e13) = e11
      & op1(e12,e12) = e11
      & op1(e11,e11) = e11
      & op1(e10,e10) = e11 )
    | ( op1(e13,e13) = e10
      & op1(e12,e12) = e10
      & op1(e11,e11) = e10
      & op1(e10,e10) = e10 ) ),
    inference(negpush_and_skolemize,[],[ax12]) ).

fof(ax12,axiom,
    ( ( op1(e10,e10) = e10
      & op1(e11,e11) = e10
      & op1(e12,e12) = e10
      & op1(e13,e13) = e10 )
    | ( op1(e10,e10) = e11
      & op1(e11,e11) = e11
      & op1(e12,e12) = e11
      & op1(e13,e13) = e11 )
    | ( op1(e10,e10) = e12
      & op1(e11,e11) = e12
      & op1(e12,e12) = e12
      & op1(e13,e13) = e12 )
    | ( op1(e10,e10) = e13
      & op1(e11,e11) = e13
      & op1(e12,e12) = e13
      & op1(e13,e13) = e13 ) ),
    input ).

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

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

fof('ax16_$sk',plain,
    ( h1(e12) = op2(e21,e20)
    & h1(e10) = op2(e20,e20)
    & h1(e13) = e21
    & h1(e11) = e20 ),
    inference(negpush_and_skolemize,[],[ax16]) ).

fof(ax16,axiom,
    ( h1(e11) = e20
    & h1(e13) = e21
    & h1(e10) = op2(e20,e20)
    & h1(e12) = op2(e21,e20) ),
    input ).

fof('ax22_$sk',plain,
    ( h7(e12) = op2(e20,e22)
    & h7(e10) = op2(e22,e22)
    & h7(e13) = e20
    & h7(e11) = e22 ),
    inference(negpush_and_skolemize,[],[ax22]) ).

fof(ax22,axiom,
    ( h7(e11) = e22
    & h7(e13) = e20
    & h7(e10) = op2(e22,e22)
    & h7(e12) = op2(e20,e22) ),
    input ).

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

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

fof('ax20_$sk',plain,
    ( h5(e12) = op2(e22,e21)
    & h5(e10) = op2(e21,e21)
    & h5(e13) = e22
    & h5(e11) = e21 ),
    inference(negpush_and_skolemize,[],[ax20]) ).

fof(ax20,axiom,
    ( h5(e11) = e21
    & h5(e13) = e22
    & h5(e10) = op2(e21,e21)
    & h5(e12) = op2(e22,e21) ),
    input ).

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

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

cnf('1',plain,
    ( h11(op1(e10,e10)) != op2(h11(e10),h11(e10))
    | h11(op1(e10,e11)) != op2(h11(e10),h11(e11))
    | h11(op1(e11,e10)) != op2(h11(e11),h11(e10))
    | h11(op1(e10,e12)) != op2(h11(e10),h11(e12))
    | h11(op1(e11,e11)) != op2(h11(e11),h11(e11))
    | h11(op1(e12,e10)) != op2(h11(e12),h11(e10))
    | h11(op1(e10,e13)) != op2(h11(e10),h11(e13))
    | h11(op1(e11,e12)) != op2(h11(e11),h11(e12))
    | h11(op1(e12,e11)) != op2(h11(e12),h11(e11))
    | h11(op1(e13,e10)) != op2(h11(e13),h11(e10))
    | h11(op1(e11,e13)) != op2(h11(e11),h11(e13))
    | h11(op1(e12,e12)) != op2(h11(e12),h11(e12))
    | h11(op1(e13,e11)) != op2(h11(e13),h11(e11))
    | h11(op1(e12,e13)) != op2(h11(e12),h11(e13))
    | h11(op1(e13,e12)) != op2(h11(e13),h11(e12))
    | h11(op1(e13,e13)) != op2(h11(e13),h11(e13))
    | h11(e10) != e20
    | ~ $pr($df46) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('2',plain,
    ( op2(e20,e23) = e22
    | op2(e21,e23) = e22
    | op2(e22,e23) = e22
    | op2(e23,e23) = e22 ),
    inference(cnf_transformation,[],['ax6_$sk']) ).

cnf('3',plain,
    ( unit2 = e20
    | unit2 = e21
    | unit2 = e22
    | unit2 = e23 ),
    inference(cnf_transformation,[],['ax5_$sk']) ).

cnf('4',plain,
    ( ~ $pr($df530)
    | op2(e20,e20) = e21
    | op2(e23,e23) = e20 ),
    inference(cnf_transformation,[],['ax13_$sk']) ).

cnf('5',plain,
    ( op2(e21,e21) = e23
    | $pr($df530)
    | $pr($df529) ),
    inference(cnf_transformation,[],['ax13_$sk']) ).

cnf('6',plain,
    e20 != e23,
    inference(cnf_transformation,[],['ax10_$sk']) ).

cnf('7',plain,
    e20 = op2(e21,e21),
    inference(cnf_transformation,[],['ax15_$sk']) ).

cnf('8',plain,
    ( $pr($df530)
    | $pr($df529) ),
    inference(simplify,[then_simplify],['5','6','7']) ).

cnf('9',plain,
    ( ~ $pr($df529)
    | op2(e21,e21) = e22 ),
    inference(cnf_transformation,[],['ax13_$sk']) ).

cnf('10',plain,
    e20 != e22,
    inference(cnf_transformation,[],['ax10_$sk']) ).

cnf('11',plain,
    ~ $pr($df529),
    inference(simplify,[then_simplify],['9','10','7']) ).

cnf('12',plain,
    $pr($df530),
    inference(resolution,[],['8','11']) ).

cnf('13',plain,
    e20 != e21,
    inference(cnf_transformation,[],['ax10_$sk']) ).

cnf('14',plain,
    h2(e10) = op2(e20,e20),
    inference(cnf_transformation,[],['ax17_$sk']) ).

cnf('15',plain,
    h3(e10) = op2(e20,e20),
    inference(cnf_transformation,[],['ax18_$sk']) ).

cnf('16',plain,
    h3(e10) = h2(e10),
    inference(simplify,[],['15','14']) ).

cnf('17',plain,
    ( ~ $pr($df530)
    | op2(e20,e20) = e20
    | op2(e22,e22) = e21 ),
    inference(cnf_transformation,[],['ax13_$sk']) ).

cnf('18',plain,
    h8(e10) = op2(e22,e22),
    inference(cnf_transformation,[],['ax23_$sk']) ).

cnf('19',plain,
    h9(e10) = op2(e22,e22),
    inference(cnf_transformation,[],['ax24_$sk']) ).

cnf('20',plain,
    h9(e10) = h8(e10),
    inference(simplify,[],['19','18']) ).

cnf('21',plain,
    ( ~ $pr($df530)
    | op2(e21,e21) = e21
    | op2(e22,e22) = e20 ),
    inference(cnf_transformation,[],['ax13_$sk']) ).

cnf('22',plain,
    h9(e10) = e20,
    inference(simplify,[then_simplify],['21','12','13','7','18','20']) ).

cnf('23',plain,
    h3(e10) = e20,
    inference(simplify,[then_simplify],['17','12','13','14','16','18','20','22']) ).

cnf('24',plain,
    h11(e10) = op2(e23,e23),
    inference(cnf_transformation,[],['ax26_$sk']) ).

cnf('25',plain,
    h12(e10) = op2(e23,e23),
    inference(cnf_transformation,[],['ax27_$sk']) ).

cnf('26',plain,
    h12(e10) = h11(e10),
    inference(simplify,[],['25','24']) ).

cnf('27',plain,
    h12(e10) = e20,
    inference(simplify,[then_simplify],['4','12','13','14','16','23','24','26']) ).

cnf('28',plain,
    ( ~ $pr($df530)
    | op2(e23,e23) = e20
    | op2(e23,e23) = e21 ),
    inference(cnf_transformation,[],['ax13_$sk']) ).

cnf('29',plain,
    ( h12(e10) = e20
    | h12(e10) = e21 ),
    inference(simplify,[then_simplify],['28','12','24','26','24','26']) ).

cnf('30',plain,
    op2(e23,e21) != op2(e23,e23),
    inference(cnf_transformation,[],['ax8_$sk']) ).

cnf('31',plain,
    e22 = op2(e23,e21),
    inference(cnf_transformation,[],['ax15_$sk']) ).

cnf('32',plain,
    e22 != h12(e10),
    inference(simplify,[then_simplify],['30','31','24','26']) ).

cnf('33',plain,
    ( e22 != e20
    | h12(e10) = e21 ),
    inference(paramodulation,[],['29','32']) ).

cnf('34',plain,
    e22 != e20,
    inference(paramodulation,[then_simplify],['27','33','13']) ).

cnf('35',plain,
    ( e22 != unit2
    | unit2 = e21
    | unit2 = e22
    | unit2 = e23 ),
    inference(paramodulation,[],['3','34']) ).

cnf('36',plain,
    e22 != e23,
    inference(cnf_transformation,[],['ax10_$sk']) ).

cnf('37',plain,
    ( e22 != unit2
    | unit2 = e21
    | unit2 = e22 ),
    inference(paramodulation,[],['35','36']) ).

cnf('38',plain,
    ( e22 != unit2
    | e20 = op2(e21,unit2)
    | unit2 = e22 ),
    inference(paramodulation,[],['37','7']) ).

cnf('39',plain,
    op2(e21,unit2) = e21,
    inference(cnf_transformation,[],['ax5_$sk']) ).

cnf('40',plain,
    ( e22 != unit2
    | unit2 = e22 ),
    inference(simplify,[then_simplify],['38','13','39']) ).

cnf('41',plain,
    h2(e12) = op2(e22,e20),
    inference(cnf_transformation,[],['ax17_$sk']) ).

cnf('42',plain,
    ( e22 != unit2
    | h2(e12) = op2(unit2,e20) ),
    inference(paramodulation,[],['40','41']) ).

cnf('43',plain,
    op2(e22,e20) != op2(e22,e22),
    inference(cnf_transformation,[],['ax8_$sk']) ).

cnf('44',plain,
    h2(e12) != h9(e10),
    inference(simplify,[then_simplify],['43','41','18','20']) ).

cnf('45',plain,
    h2(e12) != e20,
    inference(paramodulation,[],['22','44']) ).

cnf('46',plain,
    op2(unit2,e20) = e20,
    inference(cnf_transformation,[],['ax5_$sk']) ).

cnf('47',plain,
    e22 != unit2,
    inference(simplify,[then_simplify],['42','45','46']) ).

cnf('48',plain,
    ( unit2 = e20
    | unit2 = e21
    | unit2 = e23 ),
    inference(paramodulation,[],['3','47']) ).

cnf('49',plain,
    h6(e13) = e23,
    inference(cnf_transformation,[],['ax21_$sk']) ).

cnf('50',plain,
    ( h6(e13) = unit2
    | unit2 = e20
    | unit2 = e21 ),
    inference(paramodulation,[],['48','49']) ).

cnf('51',plain,
    ( e23 = unit2
    | unit2 = e20
    | unit2 = e21 ),
    inference(simplify,[],['50','49']) ).

cnf('52',plain,
    e20 != e23,
    inference(cnf_transformation,[],['ax10_$sk']) ).

cnf('53',plain,
    ( unit2 != e23
    | unit2 = e21
    | e23 = unit2 ),
    inference(paramodulation,[],['51','52']) ).

cnf('54',plain,
    e21 != e23,
    inference(cnf_transformation,[],['ax10_$sk']) ).

cnf('55',plain,
    ( unit2 != e23
    | e23 = unit2 ),
    inference(paramodulation,[],['53','54']) ).

cnf('56',plain,
    ( unit2 != e23
    | e22 = op2(unit2,e21) ),
    inference(paramodulation,[],['55','31']) ).

cnf('57',plain,
    op2(unit2,e21) = e21,
    inference(cnf_transformation,[],['ax5_$sk']) ).

cnf('58',plain,
    ( unit2 != e23
    | e22 = e21 ),
    inference(simplify,[],['56','57']) ).

cnf('59',plain,
    e21 != e22,
    inference(cnf_transformation,[],['ax10_$sk']) ).

cnf('60',plain,
    unit2 != e23,
    inference(paramodulation,[],['58','59']) ).

cnf('61',plain,
    h8(e13) = e21,
    inference(cnf_transformation,[],['ax23_$sk']) ).

cnf('62',plain,
    ( h8(e13) = unit2
    | unit2 = e20
    | unit2 = e23 ),
    inference(paramodulation,[],['48','61']) ).

cnf('63',plain,
    ( e21 = unit2
    | unit2 = e20
    | unit2 = e23 ),
    inference(simplify,[],['62','61']) ).

cnf('64',plain,
    e20 != e21,
    inference(cnf_transformation,[],['ax10_$sk']) ).

cnf('65',plain,
    ( unit2 != e21
    | e21 = unit2
    | unit2 = e23 ),
    inference(paramodulation,[],['63','64']) ).

cnf('66',plain,
    ( unit2 != e21
    | e21 = unit2 ),
    inference(resolution,[],['60','65']) ).

cnf('67',plain,
    ( unit2 != e21
    | e20 = op2(e21,unit2) ),
    inference(paramodulation,[],['66','7']) ).

cnf('68',plain,
    unit2 != e21,
    inference(simplify,[then_simplify],['67','13','39']) ).

cnf('69',plain,
    ( unit2 = e20
    | unit2 = e21 ),
    inference(resolution,[],['60','48']) ).

cnf('70',plain,
    unit2 = e20,
    inference(resolution,[],['68','69']) ).

cnf('71',plain,
    ( e20 != unit2
    | unit2 = e20
    | unit2 = e23 ),
    inference(paramodulation,[],['48','64']) ).

cnf('72',plain,
    ( e20 != unit2
    | unit2 = e20 ),
    inference(paramodulation,[],['71','52']) ).

cnf('73',plain,
    h3(e12) = op2(e23,e20),
    inference(cnf_transformation,[],['ax18_$sk']) ).

cnf('74',plain,
    ( e20 != unit2
    | h3(e12) = op2(e23,unit2) ),
    inference(paramodulation,[],['72','73']) ).

cnf('75',plain,
    op2(e23,unit2) = e23,
    inference(cnf_transformation,[],['ax5_$sk']) ).

cnf('76',plain,
    ( e20 != unit2
    | h3(e12) = e23 ),
    inference(simplify,[],['74','75']) ).

cnf('77',plain,
    op2(e23,e20) != op2(e23,e21),
    inference(cnf_transformation,[],['ax8_$sk']) ).

cnf('78',plain,
    h3(e12) != e22,
    inference(simplify,[then_simplify],['77','73','31']) ).

cnf('79',plain,
    ( e20 != unit2
    | e23 != e22 ),
    inference(paramodulation,[],['76','78']) ).

cnf('80',plain,
    e23 != e22,
    inference(paramodulation,[],['70','79']) ).

cnf('81',plain,
    e21 != e22,
    inference(cnf_transformation,[],['ax10_$sk']) ).

cnf('82',plain,
    e20 != e22,
    inference(cnf_transformation,[],['ax10_$sk']) ).

cnf('83',plain,
    ( unit2 != e22
    | unit2 = e21
    | unit2 = e23 ),
    inference(paramodulation,[],['48','82']) ).

cnf('84',plain,
    ( unit2 != e22
    | unit2 = e23 ),
    inference(paramodulation,[],['83','59']) ).

cnf('85',plain,
    ( unit2 != e22
    | e22 = op2(unit2,e21) ),
    inference(paramodulation,[],['84','31']) ).

cnf('86',plain,
    ( unit2 != e22
    | e22 = e21 ),
    inference(simplify,[],['85','57']) ).

cnf('87',plain,
    unit2 != e22,
    inference(paramodulation,[],['86','59']) ).

cnf('88',plain,
    op2(unit2,e23) = e23,
    inference(cnf_transformation,[],['ax5_$sk']) ).

cnf('89',plain,
    h11(e12) = op2(e21,e23),
    inference(cnf_transformation,[],['ax26_$sk']) ).

cnf('90',plain,
    h12(e12) = op2(e22,e23),
    inference(cnf_transformation,[],['ax27_$sk']) ).

cnf('91',plain,
    ( op2(e20,e23) = e21
    | op2(e21,e23) = e21
    | op2(e22,e23) = e21
    | op2(e23,e23) = e21 ),
    inference(cnf_transformation,[],['ax6_$sk']) ).

cnf('92',plain,
    h3(e11) = e20,
    inference(cnf_transformation,[],['ax18_$sk']) ).

cnf('93',plain,
    ( h3(e10) = e21
    | h3(e11) = e21
    | h3(e12) = e21
    | h3(e13) = e21
    | $pr($df397) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('94',plain,
    ( h3(e10) = e21
    | h3(e12) = e21
    | h3(e13) = e21
    | $pr($df397) ),
    inference(paramodulation,[then_simplify],['92','93','13']) ).

cnf('95',plain,
    unit2 != e21,
    inference(paramodulation,[],['66','68']) ).

cnf('96',plain,
    ( unit1 = e10
    | unit1 = e11
    | unit1 = e12
    | unit1 = e13 ),
    inference(cnf_transformation,[],['ax2_$sk']) ).

cnf('97',plain,
    op1(e11,e10) != op1(e11,e11),
    inference(cnf_transformation,[],['ax7_$sk']) ).

cnf('98',plain,
    e10 = op1(e11,e11),
    inference(cnf_transformation,[],['ax14_$sk']) ).

cnf('99',plain,
    op1(e11,e10) != e10,
    inference(simplify,[],['97','98']) ).

cnf('100',plain,
    op1(unit1,e10) = e10,
    inference(cnf_transformation,[],['ax2_$sk']) ).

cnf('101',plain,
    ( unit1 = e10
    | unit1 = e12
    | unit1 = e13 ),
    inference(paramodulation,[then_simplify],['96','99','100']) ).

cnf('102',plain,
    ( ~ $pr($df556)
    | op1(e11,e11) = e11
    | op1(e13,e13) = e10 ),
    inference(cnf_transformation,[],['ax12_$sk']) ).

cnf('103',plain,
    e10 != e11,
    inference(cnf_transformation,[],['ax9_$sk']) ).

cnf('104',plain,
    ( ~ $pr($df556)
    | op1(e13,e13) = e10 ),
    inference(simplify,[then_simplify],['102','103','98']) ).

cnf('105',plain,
    ( op1(e11,e11) = e13
    | $pr($df556)
    | $pr($df555) ),
    inference(cnf_transformation,[],['ax12_$sk']) ).

cnf('106',plain,
    e10 != e13,
    inference(cnf_transformation,[],['ax9_$sk']) ).

cnf('107',plain,
    ( ~ $pr($df555)
    | op1(e13,e13) = e12 ),
    inference(cnf_transformation,[],['ax12_$sk']) ).

cnf('108',plain,
    op1(e13,e11) != op1(e13,e13),
    inference(cnf_transformation,[],['ax7_$sk']) ).

cnf('109',plain,
    e12 = op1(e13,e11),
    inference(cnf_transformation,[],['ax14_$sk']) ).

cnf('110',plain,
    e12 != op1(e13,e13),
    inference(simplify,[],['108','109']) ).

cnf('111',plain,
    ~ $pr($df555),
    inference(paramodulation,[],['107','110']) ).

cnf('112',plain,
    $pr($df556),
    inference(simplify,[then_simplify],['105','106','111','98']) ).

cnf('113',plain,
    op1(e13,e13) = e10,
    inference(resolution,[],['104','112']) ).

cnf('114',plain,
    ( ~ $pr($df556)
    | op1(e12,e12) = e10
    | op1(e13,e13) = e11 ),
    inference(cnf_transformation,[],['ax12_$sk']) ).

cnf('115',plain,
    ( op1(e12,e12) = e10
    | op1(e13,e13) = e11 ),
    inference(resolution,[],['114','112']) ).

cnf('116',plain,
    op1(e12,e10) != op1(e12,e12),
    inference(cnf_transformation,[],['ax7_$sk']) ).

cnf('117',plain,
    ( op1(e12,e10) != e10
    | op1(e13,e13) = e11 ),
    inference(paramodulation,[],['115','116']) ).

cnf('118',plain,
    op1(e12,e10) != e10,
    inference(paramodulation,[then_simplify],['113','117','103']) ).

cnf('119',plain,
    ( unit1 = e10
    | unit1 = e13 ),
    inference(paramodulation,[then_simplify],['101','118','100']) ).

cnf('120',plain,
    op1(e10,e13) != op1(e13,e13),
    inference(cnf_transformation,[],['ax7_$sk']) ).

cnf('121',plain,
    op1(e10,e13) != e10,
    inference(paramodulation,[],['113','120']) ).

cnf('122',plain,
    op1(e10,unit1) = e10,
    inference(cnf_transformation,[],['ax2_$sk']) ).

cnf('123',plain,
    unit1 = e10,
    inference(paramodulation,[then_simplify],['119','121','122']) ).

cnf('124',plain,
    h3(unit1) = e20,
    inference(paramodulation,[],['123','23']) ).

cnf('125',plain,
    ( e20 != unit2
    | e23 = op2(e23,e20) ),
    inference(paramodulation,[],['76','73']) ).

cnf('126',plain,
    ( e20 != unit2
    | e23 = h3(e12) ),
    inference(simplify,[],['125','73']) ).

cnf('127',plain,
    e23 = h3(e12),
    inference(paramodulation,[],['70','126']) ).

cnf('128',plain,
    h3(e13) = e23,
    inference(cnf_transformation,[],['ax18_$sk']) ).

cnf('129',plain,
    ( e23 = e21
    | e23 = e21
    | $pr($df397) ),
    inference(simplify,[then_simplify],['94','95','123','124','70','127','128']) ).

cnf('130',plain,
    ( e23 = e21
    | $pr($df397) ),
    inference(factorization,[],['129']) ).

cnf('131',plain,
    h1(e12) = op2(e21,e20),
    inference(cnf_transformation,[],['ax16_$sk']) ).

cnf('132',plain,
    ( e20 != unit2
    | h1(e12) = op2(e21,unit2) ),
    inference(paramodulation,[],['72','131']) ).

cnf('133',plain,
    ( e20 != unit2
    | h1(e12) = e21 ),
    inference(simplify,[],['132','39']) ).

cnf('134',plain,
    op2(e21,e20) != op2(e23,e20),
    inference(cnf_transformation,[],['ax8_$sk']) ).

cnf('135',plain,
    h1(e12) != h3(e12),
    inference(simplify,[then_simplify],['134','131','73']) ).

cnf('136',plain,
    ( e21 != h3(e12)
    | e20 != unit2 ),
    inference(paramodulation,[],['133','135']) ).

cnf('137',plain,
    e21 != h3(e12),
    inference(paramodulation,[],['70','136']) ).

cnf('138',plain,
    $pr($df397),
    inference(paramodulation,[then_simplify],['130','127','137']) ).

cnf('139',plain,
    ( h3(e13) != e21
    | ~ $pr($df397) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('140',plain,
    ( e23 != e21
    | ~ $pr($df397) ),
    inference(paramodulation,[],['128','139']) ).

cnf('141',plain,
    e23 != e21,
    inference(resolution,[],['138','140']) ).

cnf('142',plain,
    h12(e10) = h11(unit1),
    inference(paramodulation,[],['123','26']) ).

cnf('143',plain,
    h12(unit1) = e20,
    inference(paramodulation,[],['123','27']) ).

cnf('144',plain,
    e20 = h11(unit1),
    inference(simplify,[then_simplify],['142','123','143']) ).

cnf('145',plain,
    ( h11(e12) = e21
    | h12(e12) = e21 ),
    inference(simplify,[then_simplify],['91','141','95','70','88','89','90','24','123','144','70']) ).

cnf('146',plain,
    op2(e21,e20) != op2(e21,e23),
    inference(cnf_transformation,[],['ax8_$sk']) ).

cnf('147',plain,
    h1(e12) != h11(e12),
    inference(simplify,[then_simplify],['146','131','89']) ).

cnf('148',plain,
    ( e21 != h11(e12)
    | e20 != unit2 ),
    inference(paramodulation,[],['133','147']) ).

cnf('149',plain,
    e21 != h11(e12),
    inference(paramodulation,[],['70','148']) ).

cnf('150',plain,
    h12(e12) = e21,
    inference(paramodulation,[],['145','149']) ).

cnf('151',plain,
    h11(e12) = e22,
    inference(simplify,[then_simplify],['2','80','81','87','70','88','89','90','150','24','123','144','70']) ).

cnf('152',plain,
    ( h11(e12) != e22
    | ~ $pr($df82)
    | $pr($df46)
    | $pr($df45) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('153',plain,
    ( h11(e11) != e23
    | ~ $pr($df81) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('154',plain,
    h11(e11) = e23,
    inference(cnf_transformation,[],['ax26_$sk']) ).

cnf('155',plain,
    ~ $pr($df81),
    inference(simplify,[],['153','154']) ).

cnf('156',plain,
    ( $pr($df82)
    | $pr($df81) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('157',plain,
    $pr($df82),
    inference(resolution,[],['155','156']) ).

cnf('158',plain,
    ( h11(e12) != e22
    | $pr($df46)
    | $pr($df45) ),
    inference(simplify,[],['152','157']) ).

cnf('159',plain,
    ( h11(e13) != e21
    | ~ $pr($df45) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('160',plain,
    h11(e13) = e21,
    inference(cnf_transformation,[],['ax26_$sk']) ).

cnf('161',plain,
    ~ $pr($df45),
    inference(simplify,[],['159','160']) ).

cnf('162',plain,
    ( h11(e12) != e22
    | $pr($df46) ),
    inference(resolution,[],['158','161']) ).

cnf('163',plain,
    $pr($df46),
    inference(resolution,[],['151','162']) ).

cnf('164',plain,
    ( ~ $pr($df556)
    | op1(e10,e10) = e10
    | op1(e13,e13) = e11 ),
    inference(cnf_transformation,[],['ax12_$sk']) ).

cnf('165',plain,
    ( op1(e10,e10) = e10
    | op1(e13,e13) = e11 ),
    inference(resolution,[],['164','112']) ).

cnf('166',plain,
    op1(e10,e10) = e10,
    inference(paramodulation,[then_simplify],['113','165','103']) ).

cnf('167',plain,
    op1(e10,e10) = unit1,
    inference(paramodulation,[],['123','166']) ).

cnf('168',plain,
    op1(unit1,unit1) = unit1,
    inference(simplify,[then_simplify],['167','123','123']) ).

cnf('169',plain,
    ( e20 != unit2
    | op2(unit2,unit2) = e20 ),
    inference(paramodulation,[],['72','46']) ).

cnf('170',plain,
    h7(e10) = op2(e22,e22),
    inference(cnf_transformation,[],['ax22_$sk']) ).

cnf('171',plain,
    h7(e10) = h9(e10),
    inference(simplify,[then_simplify],['170','18','20']) ).

cnf('172',plain,
    h7(e10) = h9(unit1),
    inference(paramodulation,[],['123','171']) ).

cnf('173',plain,
    h9(unit1) = e20,
    inference(paramodulation,[],['123','22']) ).

cnf('174',plain,
    h7(unit1) = e20,
    inference(simplify,[then_simplify],['172','123','173']) ).

cnf('175',plain,
    ( h7(unit1) = unit2
    | unit2 = e21
    | unit2 = e23 ),
    inference(paramodulation,[],['48','174']) ).

cnf('176',plain,
    ( e20 = unit2
    | unit2 = e21
    | unit2 = e23 ),
    inference(simplify,[],['175','174']) ).

cnf('177',plain,
    ( e20 = unit2
    | unit2 = e21 ),
    inference(resolution,[],['60','176']) ).

cnf('178',plain,
    e20 = unit2,
    inference(resolution,[],['68','177']) ).

cnf('179',plain,
    op2(unit2,unit2) = unit2,
    inference(paramodulation,[then_simplify],['70','169','178']) ).

cnf('180',plain,
    op1(unit1,e11) = e11,
    inference(cnf_transformation,[],['ax2_$sk']) ).

cnf('181',plain,
    h11(e11) = e23,
    inference(cnf_transformation,[],['ax26_$sk']) ).

cnf('182',plain,
    op1(e11,unit1) = e11,
    inference(cnf_transformation,[],['ax2_$sk']) ).

cnf('183',plain,
    op1(unit1,e12) = e12,
    inference(cnf_transformation,[],['ax2_$sk']) ).

cnf('184',plain,
    op2(unit2,e22) = e22,
    inference(cnf_transformation,[],['ax5_$sk']) ).

cnf('185',plain,
    op1(e12,unit1) = e12,
    inference(cnf_transformation,[],['ax2_$sk']) ).

cnf('186',plain,
    op2(e22,unit2) = e22,
    inference(cnf_transformation,[],['ax5_$sk']) ).

cnf('187',plain,
    op1(unit1,e13) = e13,
    inference(cnf_transformation,[],['ax2_$sk']) ).

cnf('188',plain,
    h11(e13) = e21,
    inference(cnf_transformation,[],['ax26_$sk']) ).

cnf('189',plain,
    ( op1(e10,e12) = e13
    | op1(e11,e12) = e13
    | op1(e12,e12) = e13
    | op1(e13,e12) = e13 ),
    inference(cnf_transformation,[],['ax3_$sk']) ).

cnf('190',plain,
    e12 != e13,
    inference(cnf_transformation,[],['ax9_$sk']) ).

cnf('191',plain,
    e10 != e13,
    inference(cnf_transformation,[],['ax9_$sk']) ).

cnf('192',plain,
    unit1 != e13,
    inference(paramodulation,[],['123','191']) ).

cnf('193',plain,
    e11 != e13,
    inference(cnf_transformation,[],['ax9_$sk']) ).

cnf('194',plain,
    op1(e12,e12) = e10,
    inference(paramodulation,[then_simplify],['113','115','103']) ).

cnf('195',plain,
    ( op1(e13,e10) = e11
    | op1(e13,e11) = e11
    | op1(e13,e12) = e11
    | op1(e13,e13) = e11 ),
    inference(cnf_transformation,[],['ax3_$sk']) ).

cnf('196',plain,
    e10 != e11,
    inference(cnf_transformation,[],['ax9_$sk']) ).

cnf('197',plain,
    unit1 != e11,
    inference(paramodulation,[],['123','196']) ).

cnf('198',plain,
    op1(e13,unit1) = e13,
    inference(cnf_transformation,[],['ax2_$sk']) ).

cnf('199',plain,
    ( e13 = e11
    | e12 = e11
    | op1(e13,e12) = e11 ),
    inference(simplify,[then_simplify],['195','197','123','198','109','113','123']) ).

cnf('200',plain,
    op1(e11,e11) != op1(e11,e13),
    inference(cnf_transformation,[],['ax7_$sk']) ).

cnf('201',plain,
    e10 != op1(e11,e13),
    inference(simplify,[],['200','98']) ).

cnf('202',plain,
    unit1 != op1(e11,e13),
    inference(paramodulation,[],['123','201']) ).

cnf('203',plain,
    unit1 = op1(e11,e11),
    inference(paramodulation,[],['123','98']) ).

cnf('204',plain,
    ( op1(e13,e12) = e11
    | e12 = e11 ),
    inference(paramodulation,[then_simplify],['199','202','203']) ).

cnf('205',plain,
    op2(e22,e21) != op2(e22,e23),
    inference(cnf_transformation,[],['ax8_$sk']) ).

cnf('206',plain,
    h5(e12) = op2(e22,e21),
    inference(cnf_transformation,[],['ax20_$sk']) ).

cnf('207',plain,
    h5(e12) != h12(e12),
    inference(simplify,[then_simplify],['205','206','90']) ).

cnf('208',plain,
    h5(e12) != e21,
    inference(paramodulation,[],['150','207']) ).

cnf('209',plain,
    h5(e11) = e21,
    inference(cnf_transformation,[],['ax20_$sk']) ).

cnf('210',plain,
    op1(e13,e12) = e11,
    inference(paramodulation,[then_simplify],['204','208','209']) ).

cnf('211',plain,
    op1(e11,e12) = e13,
    inference(simplify,[then_simplify],['189','190','192','193','123','183','194','123','210']) ).

cnf('212',plain,
    h9(e12) = op2(e23,e22),
    inference(cnf_transformation,[],['ax24_$sk']) ).

cnf('213',plain,
    ( op2(e23,e20) = e21
    | op2(e23,e21) = e21
    | op2(e23,e22) = e21
    | op2(e23,e23) = e21 ),
    inference(cnf_transformation,[],['ax6_$sk']) ).

cnf('214',plain,
    h2(e11) = e20,
    inference(cnf_transformation,[],['ax17_$sk']) ).

cnf('215',plain,
    ( h2(e10) = e21
    | h2(e11) = e21
    | h2(e12) = e21
    | h2(e13) = e21
    | $pr($df441) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('216',plain,
    ( h2(e10) = e21
    | h2(e12) = e21
    | h2(e13) = e21
    | $pr($df441) ),
    inference(paramodulation,[then_simplify],['214','215','13']) ).

cnf('217',plain,
    h3(e10) = h2(unit1),
    inference(paramodulation,[],['123','16']) ).

cnf('218',plain,
    e20 = h2(unit1),
    inference(simplify,[then_simplify],['217','123','124']) ).

cnf('219',plain,
    ( e20 != unit2
    | h2(e12) = op2(e22,unit2) ),
    inference(paramodulation,[],['72','41']) ).

cnf('220',plain,
    ( e20 != unit2
    | h2(e12) = e22 ),
    inference(simplify,[],['219','186']) ).

cnf('221',plain,
    ( e20 != unit2
    | e22 = op2(e22,e20) ),
    inference(paramodulation,[],['220','41']) ).

cnf('222',plain,
    ( e20 != unit2
    | e22 = h2(e12) ),
    inference(simplify,[],['221','41']) ).

cnf('223',plain,
    e22 = h2(e12),
    inference(paramodulation,[],['70','222']) ).

cnf('224',plain,
    h2(e13) = e22,
    inference(cnf_transformation,[],['ax17_$sk']) ).

cnf('225',plain,
    ( e22 = e21
    | e22 = e21
    | $pr($df441) ),
    inference(simplify,[then_simplify],['216','95','123','218','70','223','224']) ).

cnf('226',plain,
    ( e22 = e21
    | $pr($df441) ),
    inference(factorization,[],['225']) ).

cnf('227',plain,
    op2(e21,e20) != op2(e22,e20),
    inference(cnf_transformation,[],['ax8_$sk']) ).

cnf('228',plain,
    h1(e12) != h2(e12),
    inference(simplify,[then_simplify],['227','131','41']) ).

cnf('229',plain,
    ( e21 != h2(e12)
    | e20 != unit2 ),
    inference(paramodulation,[],['133','228']) ).

cnf('230',plain,
    e21 != h2(e12),
    inference(paramodulation,[],['70','229']) ).

cnf('231',plain,
    $pr($df441),
    inference(paramodulation,[then_simplify],['226','223','230']) ).

cnf('232',plain,
    ( h2(e13) != e21
    | ~ $pr($df441) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('233',plain,
    ( e22 != e21
    | ~ $pr($df441) ),
    inference(paramodulation,[],['224','232']) ).

cnf('234',plain,
    e22 != e21,
    inference(resolution,[],['231','233']) ).

cnf('235',plain,
    h9(e12) = e21,
    inference(simplify,[then_simplify],['213','141','234','95','70','75','31','212','24','123','144','70']) ).

cnf('236',plain,
    ( op1(e10,e11) = e13
    | op1(e11,e11) = e13
    | op1(e12,e11) = e13
    | op1(e13,e11) = e13 ),
    inference(cnf_transformation,[],['ax3_$sk']) ).

cnf('237',plain,
    op1(e12,e11) = e13,
    inference(simplify,[then_simplify],['236','193','192','190','123','180','98','123','109']) ).

cnf('238',plain,
    ( op1(e11,e13) = e10
    | op1(e11,e13) = e11
    | op1(e11,e13) = e12
    | op1(e11,e13) = e13 ),
    inference(cnf_transformation,[],['ax1_$sk']) ).

cnf('239',plain,
    op1(e11,e13) != op1(e13,e13),
    inference(cnf_transformation,[],['ax7_$sk']) ).

cnf('240',plain,
    op1(e11,e13) != e10,
    inference(paramodulation,[],['113','239']) ).

cnf('241',plain,
    op1(e11,e13) != unit1,
    inference(paramodulation,[],['123','240']) ).

cnf('242',plain,
    ( op1(e10,e13) = e11
    | op1(e11,e13) = e11
    | op1(e12,e13) = e11
    | op1(e13,e13) = e11 ),
    inference(cnf_transformation,[],['ax3_$sk']) ).

cnf('243',plain,
    op1(e13,e10) != op1(e13,e12),
    inference(cnf_transformation,[],['ax7_$sk']) ).

cnf('244',plain,
    op1(e13,unit1) != op1(e13,e12),
    inference(paramodulation,[],['123','243']) ).

cnf('245',plain,
    e13 != op1(e13,e12),
    inference(simplify,[],['244','198']) ).

cnf('246',plain,
    e13 != e11,
    inference(paramodulation,[],['210','245']) ).

cnf('247',plain,
    ( op1(e11,e13) = e11
    | op1(e12,e13) = e11 ),
    inference(simplify,[then_simplify],['242','246','197','123','187','113','123']) ).

cnf('248',plain,
    op1(e11,e10) != op1(e11,e13),
    inference(cnf_transformation,[],['ax7_$sk']) ).

cnf('249',plain,
    op1(e11,unit1) != op1(e11,e13),
    inference(paramodulation,[],['123','248']) ).

cnf('250',plain,
    e11 != op1(e11,e13),
    inference(simplify,[],['249','182']) ).

cnf('251',plain,
    op1(e12,e13) = e11,
    inference(paramodulation,[],['247','250']) ).

cnf('252',plain,
    op1(e11,e13) != op1(e12,e13),
    inference(cnf_transformation,[],['ax7_$sk']) ).

cnf('253',plain,
    op1(e11,e13) != e11,
    inference(paramodulation,[],['251','252']) ).

cnf('254',plain,
    ( op1(e11,e13) = e12
    | op1(e11,e13) = e13 ),
    inference(simplify,[then_simplify],['238','241','253','123']) ).

cnf('255',plain,
    op1(e10,e13) != op1(e11,e13),
    inference(cnf_transformation,[],['ax7_$sk']) ).

cnf('256',plain,
    op1(unit1,e13) != op1(e11,e13),
    inference(paramodulation,[],['123','255']) ).

cnf('257',plain,
    e13 != op1(e11,e13),
    inference(simplify,[],['256','187']) ).

cnf('258',plain,
    op1(e11,e13) = e12,
    inference(paramodulation,[],['254','257']) ).

cnf('259',plain,
    h9(e10) = h8(unit1),
    inference(paramodulation,[],['123','20']) ).

cnf('260',plain,
    e20 = h8(unit1),
    inference(simplify,[then_simplify],['259','123','173']) ).

cnf('261',plain,
    ( op2(e22,e20) = e23
    | op2(e22,e21) = e23
    | op2(e22,e22) = e23
    | op2(e22,e23) = e23 ),
    inference(cnf_transformation,[],['ax6_$sk']) ).

cnf('262',plain,
    e22 != e23,
    inference(cnf_transformation,[],['ax10_$sk']) ).

cnf('263',plain,
    unit2 != e23,
    inference(paramodulation,[],['58','59']) ).

cnf('264',plain,
    e21 != e23,
    inference(cnf_transformation,[],['ax10_$sk']) ).

cnf('265',plain,
    h5(e12) = e23,
    inference(simplify,[then_simplify],['261','262','263','264','70','186','206','18','123','260','70','90','150']) ).

cnf('266',plain,
    h8(e12) = op2(e21,e22),
    inference(cnf_transformation,[],['ax23_$sk']) ).

cnf('267',plain,
    ( op2(e20,e22) = e23
    | op2(e21,e22) = e23
    | op2(e22,e22) = e23
    | op2(e23,e22) = e23 ),
    inference(cnf_transformation,[],['ax6_$sk']) ).

cnf('268',plain,
    h8(e12) = e23,
    inference(simplify,[then_simplify],['267','262','263','264','70','184','266','18','123','260','70','212','235']) ).

cnf('269',plain,
    $false,
    inference(simplify,[then_simplify],['1','163','123','123','168','144','70','123','144','70','123','144','70','179','123','180','181','123','144','70','181','88','123','182','181','181','123','144','70','75','123','183','151','123','144','70','151','184','98','123','144','70','181','181','24','123','144','70','123','185','151','151','123','144','70','186','123','187','188','123','144','70','188','57','211','188','181','151','212','235','237','188','151','181','90','150','123','198','188','188','123','144','70','39','258','151','181','188','31','194','123','144','70','151','151','18','123','260','70','109','151','188','181','89','151','251','181','151','188','206','265','210','181','188','151','266','268','113','123','144','70','188','188','7','70','123','144','70','70']) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14  % Problem  : ALG037+1 : TPTP v8.1.2. Released v2.7.0.
% 0.00/0.15  % Command  : gkc %s
% 0.15/0.36  % Computer : n001.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit : 300
% 0.15/0.36  % WCLimit  : 300
% 0.15/0.36  % DateTime : Mon Aug 28 05:28:04 EDT 2023
% 0.22/0.36  % CPUTime  : 
% 0.22/0.47  
% 0.22/0.47  input clause set summed statistics:
% 0.22/0.47  ----------------------------------
% 0.22/0.47  in_clause_count:                  3586
% 0.22/0.47  in_rule_clause_count:             3586
% 0.22/0.47  in_fact_clause_count:                0
% 0.22/0.47  in_answer_clause_count:              0
% 0.22/0.47  in_ground_clause_count:           3586
% 0.22/0.47  in_unit_clause_count:              192
% 0.22/0.47  in_horn_clause_count:             2122
% 0.22/0.47  in_pos_clause_count:               460
% 0.22/0.47  in_neg_clause_count:              1152
% 0.22/0.47  in_poseq_clause_count:            1334
% 0.22/0.47  in_negeq_clause_count:             686
% 0.22/0.47  in_unitposeq_clause_count:          68
% 0.22/0.47  in_chain_clause_count:               0
% 0.22/0.47  in_min_length:             1
% 0.22/0.47  in_max_length:            18
% 0.22/0.47  in_min_depth:              1
% 0.22/0.47  in_max_depth:              3
% 0.22/0.47  in_min_size:               3
% 0.22/0.47  in_max_size:             166
% 0.22/0.47  in_min_vars:               0
% 0.22/0.47  in_max_vars:               0
% 0.22/0.47  in_extaxiom_count:                 0
% 0.22/0.47  in_axiom_count:                  526
% 0.22/0.47  in_assumption_count:               0
% 0.22/0.47  in_goal_count:                  3060
% 0.22/0.47  in_neg_goal_count:               924
% 0.22/0.47  in_pos_goal_count:               252
% 0.22/0.47  in_posunit_goal_count:             0
% 0.22/0.47  
% 0.22/0.47  auto guide:
% 0.22/0.47  -----------
% 0.22/0.47  {
% 0.22/0.47  "print":1,
% 0.22/0.47  "print_level": 15,
% 0.22/0.47  "max_size": 0,
% 0.22/0.47  "max_depth": 0,
% 0.22/0.47  "max_length": 0,
% 0.22/0.47  "max_dseconds": 0,
% 0.22/0.47  "runs":[
% 0.22/0.47  {"max_dseconds":1, "strategy":["unit", "pure_unit"], "max_size":30, "max_depth":10, "max_weight":300, "weight_select_ratio":1, "rewrite":0},
% 0.22/0.47  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "sine":5},
% 0.22/0.47  {"max_dseconds":1, "strategy":["unit","prohibit_unordered_para"], "query_preference":1},
% 0.22/0.47  {"max_dseconds":1, "strategy":["hardness_pref","prohibit_unordered_para"], "query_preference":1},
% 0.22/0.47  {"max_dseconds":1, "strategy":["unit","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
% 0.22/0.47  {"max_dseconds":1, "strategy":["unit","prohibit_unordered_para","prohibit_deep_para"], "query_preference":1},
% 0.22/0.47  {"max_dseconds":1, "strategy":["negative_pref","prohibit_unordered_para","prohibit_deep_para"], "query_preference":1},
% 0.22/0.47  {"max_dseconds":1, "strategy":["unit","prohibit_nested_para","prohibit_deep_para","prohibit_unordered_para"], "query_preference":0},
% 0.22/0.47  {"max_dseconds":1, "strategy":["negative_pref","prohibit_nested_para","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
% 0.22/0.47  {"max_dseconds":1, "strategy":["hardness_pref","prohibit_nested_para","prohibit_unordered_para","prohibit_deep_para"], "query_preference":1},
% 0.22/0.47  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":3},
% 0.22/0.47  {"max_dseconds":1, "strategy":["unit"], "query_preference":0},
% 0.22/0.47  {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":0},
% 0.22/0.47  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "depth_penalty":100, "sine":1},
% 0.22/0.47  {"max_dseconds":1, "strategy":["unit", "pure_unit"], "weight_select_ratio":1, "query_preference":0},
% 0.22/0.47  {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":1},
% 0.22/0.47  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0},
% 0.22/0.47  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0},
% 0.22/0.47  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.22/0.47  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.22/0.47  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "sine":1},
% 0.22/0.47  {"max_dseconds":1, "strategy":["query_focus", "positive_pref"], "query_preference":0},
% 0.22/0.47  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "depth_penalty":100},
% 0.22/0.47  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.22/0.47  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "sine":1},
% 0.22/0.47  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "rewrite":0},
% 0.22/0.47  {"max_dseconds":1, "strategy":["positive_pref"], "query_preference":0},
% 0.22/0.47  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":4},
% 0.22/0.47  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.22/0.47  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.22/0.47  {"max_dseconds":1, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1, "length_penalty":100},
% 0.22/0.47  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":3},
% 0.22/0.47  {"max_dseconds":1, "strategy":["negative_pref", "prohibit_nested_para"], "query_preference":0},
% 0.22/0.47  {"max_dseconds":1, "strategy":["unit", "pure_unit"], "query_preference":0},
% 0.22/0.47  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":1},
% 0.22/0.47  {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":0, "sine":2},
% 0.22/0.47  {"sine":1, "var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["negative_pref", "max_weight"], "max_dseconds":1},
% 0.22/0.47  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "rewrite":0},
% 0.22/0.47  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "sine":1},
% 0.22/0.47  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "max_depth":6, "var_weight":1},
% 0.22/0.47  {"var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":1},
% 0.22/0.47  {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "query_preference":0, "strategy":["query_focus", "posunitpara"], "max_dseconds":1},
% 0.22/0.47  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":2},
% 0.22/0.47  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100, "sine":2},
% 0.22/0.47  {"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},
% 0.22/0.47  {"max_depth":0, "depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":1},
% 0.22/0.47  {"depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":1},
% 0.22/0.47  {"max_dseconds":1, "strategy":["hardness_pref", "posunitpara"], "query_preference":0, "depth_penalty":50, "length_penalty":100},
% 0.22/0.47  {"weight_select_ratio":100, "query_preference":0, "strategy":["negative_pref", "max_weight"], "max_dseconds":1},
% 0.22/0.47  {"max_dseconds":1, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.22/0.47  {"max_dseconds":1, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1},
% 0.22/0.47  {"var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["positive_pref"], "max_dseconds":1},
% 0.22/0.47  {"length_penalty":100, "depth_penalty":100, "query_preference":0, "strategy":["negative_pref", "hornpref", "max_weight"], "max_dseconds":1},
% 0.22/0.47  {"sine":1, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "depth_penalty":50, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":1},
% 0.22/0.47  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "max_depth":4},
% 0.22/0.47  {"sine":2, "query_preference":0, "strategy":["unit"], "max_dseconds":1},
% 0.22/0.47  {"weight_select_ratio":100, "rewrite":0, "depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":1},
% 0.22/0.47  
% 0.22/0.47  {"max_dseconds":10, "strategy":["unit", "pure_unit"], "max_size":30, "max_depth":10, "max_weight":300, "weight_select_ratio":1, "rewrite":0},
% 0.22/0.47  {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0, "sine":5},
% 0.22/0.47  {"max_dseconds":10, "strategy":["unit","prohibit_unordered_para"], "query_preference":1},
% 0.22/0.47  {"max_dseconds":10, "strategy":["hardness_pref","prohibit_unordered_para"], "query_preference":1},
% 0.22/0.47  {"max_dseconds":10, "strategy":["unit","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
% 0.22/0.47  {"max_dseconds":10, "strategy":["unit","prohibit_unordered_para","prohibit_deep_para"], "query_preference":1},
% 0.22/0.47  {"max_dseconds":10, "strategy":["negative_pref","prohibit_unordered_para","prohibit_deep_para"], "query_preference":1},
% 0.22/0.47  {"max_dseconds":10, "strategy":["unit","prohibit_nested_para","prohibit_deep_para","prohibit_unordered_para"], "query_preference":0},
% 0.22/0.47  {"max_dseconds":10, "strategy":["negative_pref","prohibit_nested_para","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
% 0.22/0.47  {"max_dseconds":10, "strategy":["hardness_pref","prohibit_nested_para","prohibit_unordered_para","prohibit_deep_para"], "query_preference":1},
% 0.22/0.47  {"max_dseconds":10, "strategy":["query_focus"], "query_preference":3},
% 0.22/0.47  {"max_dseconds":10, "strategy":["unit"], "query_preference":0},
% 0.22/0.47  {"max_dseconds":10, "strategy":["query_focus", "unit"], "query_preference":0},
% 0.22/0.47  {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0, "depth_penalty":100, "sine":1},
% 0.22/0.47  {"max_dseconds":10, "strategy":["unit", "pure_unit"], "weight_select_ratio":1, "query_preference":0},
% 0.22/0.47  {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":10},
% 0.22/0.47  {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0},
% 0.22/0.47  {"max_dseconds":10, "strategy":["hardness_pref"], "query_preference":0},
% 0.22/0.47  {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.22/0.47  {"max_dseconds":10, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.22/0.47  {"max_dseconds":10, "strategy":["hardness_pref"], "query_preference":0, "sine":1},
% 0.22/0.47  {"max_dseconds":10, "strategy":["query_focus", "positive_pref"], "query_preference":0},
% 0.22/0.47  {"max_dseconds":10, "strategy":["unit"], "query_preference":0, "depth_penalty":100},
% 0.22/0.47  {"max_dseconds":10, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.22/0.47  {"max_dseconds":10, "strategy":["unit"], "query_preference":0, "sine":1},
% 0.22/0.47  {"max_dseconds":10, "strategy":["hardness_pref"], "query_preference":0, "rewrite":0},
% 0.22/0.47  {"max_dseconds":10, "strategy":["positive_pref"], "query_preference":0},
% 0.22/0.47  {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0, "max_depth":4},
% 0.22/0.47  {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.22/0.47  {"max_dseconds":10, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.22/0.47  {"max_dseconds":10, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1, "length_penalty":100},
% 0.22/0.47  {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0, "max_depth":3},
% 0.22/0.47  {"max_dseconds":10, "strategy":["negative_pref", "prohibit_nested_para"], "query_preference":0},
% 0.22/0.47  {"max_dseconds":10, "strategy":["unit", "pure_unit"], "query_preference":0},
% 0.22/0.47  {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0, "max_depth":1},
% 0.22/0.47  {"max_dseconds":10, "strategy":["query_focus", "unit"], "query_preference":0, "sine":2},
% 0.22/0.47  {"sine":1, "var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["negative_pref", "max_weight"], "max_dseconds":10},
% 0.22/0.47  {"max_dseconds":10, "strategy":["unit"], "query_preference":0, "rewrite":0},
% 0.22/0.47  {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0, "sine":1},
% 0.22/0.47  {"max_dseconds":10, "strategy":["unit"], "query_preference":0, "max_depth":6, "var_weight":1},
% 0.22/0.47  {"var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":10},
% 0.22/0.47  {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "query_preference":0, "strategy":["query_focus", "posunitpara"], "max_dseconds":10},
% 0.22/0.47  {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0, "max_depth":2},
% 0.22/0.47  {"max_dseconds":10, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100, "sine":2},
% 0.22/0.47  {"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},
% 0.22/0.47  {"max_depth":0, "depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":10},
% 0.22/0.47  {"depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":10},
% 0.22/0.47  {"max_dseconds":10, "strategy":["hardness_pref", "posunitpara"], "query_preference":0, "depth_penalty":50, "length_penalty":100},
% 0.22/0.47  {"weight_select_ratio":100, "query_preference":0, "strategy":["negative_pref", "max_weight"], "max_dseconds":10},
% 0.22/0.47  {"max_dseconds":10, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.22/0.47  {"max_dseconds":10, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1},
% 0.22/0.47  {"var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["positive_pref"], "max_dseconds":10},
% 0.22/0.47  {"length_penalty":100, "depth_penalty":100, "query_preference":0, "strategy":["negative_pref", "hornpref", "max_weight"], "max_dseconds":10},
% 0.22/0.47  {"sine":1, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "depth_penalty":50, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":10},
% 0.22/0.47  {"max_dseconds":10, "strategy":["unit"], "query_preference":0, "max_depth":4},
% 0.22/0.47  {"sine":2, "query_preference":0, "strategy":["unit"], "max_dseconds":10},
% 0.22/0.47  {"weight_select_ratio":100, "rewrite":0, "depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":10},
% 0.22/0.47  
% 0.22/0.47  {"max_dseconds":50, "strategy":["unit", "pure_unit"], "max_size":30, "max_depth":10, "max_weight":300, "weight_select_ratio":1, "rewrite":0},
% 0.22/0.47  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0, "sine":5},
% 0.22/0.47  {"max_dseconds":50, "strategy":["unit","prohibit_unordered_para"], "query_preference":1},
% 0.22/0.47  {"max_dseconds":50, "strategy":["hardness_pref","prohibit_unordered_para"], "query_preference":1},
% 0.22/0.47  {"max_dseconds":50, "strategy":["unit","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
% 0.22/0.47  {"max_dseconds":50, "strategy":["unit","prohibit_unordered_para","prohibit_deep_para"], "query_preference":1},
% 0.22/0.47  {"max_dseconds":50, "strategy":["negative_pref","prohibit_unordered_para","prohibit_deep_para"], "query_preference":1},
% 0.22/0.47  {"max_dseconds":50, "strategy":["unit","prohibit_nested_para","prohibit_deep_para","prohibit_unordered_para"], "query_preference":0},
% 0.22/0.47  {"max_dseconds":50, "strategy":["negative_pref","prohibit_nested_para","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
% 0.22/0.47  {"max_dseconds":50, "strategy":["hardness_pref","prohibit_nested_para","prohibit_unordered_para","prohibit_deep_para"], "query_preference":1},
% 0.22/0.47  {"max_dseconds":50, "strategy":["query_focus"], "query_preference":3},
% 0.22/0.47  {"max_dseconds":50, "strategy":["unit"], "query_preference":0},
% 0.22/0.47  {"max_dseconds":50, "strategy":["query_focus", "unit"], "query_preference":0},
% 0.22/0.47  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0, "depth_penalty":100, "sine":1},
% 0.22/0.47  {"max_dseconds":50, "strategy":["unit", "pure_unit"], "weight_select_ratio":1, "query_preference":0},
% 0.22/0.47  {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":50},
% 0.22/0.47  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0},
% 0.22/0.47  {"max_dseconds":50, "strategy":["hardness_pref"], "query_preference":0},
% 0.22/0.47  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.22/0.47  {"max_dseconds":50, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.22/0.47  {"max_dseconds":50, "strategy":["hardness_pref"], "query_preference":0, "sine":1},
% 0.22/0.47  {"max_dseconds":50, "strategy":["query_focus", "positive_pref"], "query_preference":0},
% 0.22/0.47  {"max_dseconds":50, "strategy":["unit"], "query_preference":0, "depth_penalty":100},
% 0.22/0.47  {"max_dseconds":50, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.22/0.47  {"max_dseconds":50, "strategy":["unit"], "query_preference":0, "sine":1},
% 0.22/0.47  {"max_dseconds":50, "strategy":["hardness_pref"], "query_preference":0, "rewrite":0},
% 0.22/0.47  {"max_dseconds":50, "strategy":["positive_pref"], "query_preference":0},
% 0.22/0.47  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0, "max_depth":4},
% 0.22/0.47  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.22/0.47  {"max_dseconds":50, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.22/0.47  {"max_dseconds":50, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1, "length_penalty":100},
% 0.22/0.47  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0, "max_depth":3},
% 0.22/0.47  {"max_dseconds":50, "strategy":["negative_pref", "prohibit_nested_para"], "query_preference":0},
% 0.22/0.47  {"max_dseconds":50, "strategy":["unit", "pure_unit"], "query_preference":0},
% 0.22/0.47  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0, "max_depth":1},
% 0.22/0.47  {"max_dseconds":50, "strategy":["query_focus", "unit"], "query_preference":0, "sine":2},
% 0.22/0.47  {"sine":1, "var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["negative_pref", "max_weight"], "max_dseconds":50},
% 0.22/0.47  {"max_dseconds":50, "strategy":["unit"], "query_preference":0, "rewrite":0},
% 0.22/0.47  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0, "sine":1},
% 0.22/0.47  {"max_dseconds":50, "strategy":["unit"], "query_preference":0, "max_depth":6, "var_weight":1},
% 0.22/0.47  {"var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":50},
% 0.22/0.47  {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "query_preference":0, "strategy":["query_focus", "posunitpara"], "max_dseconds":50},
% 0.22/0.47  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0, "max_depth":2},
% 0.22/0.47  {"max_dseconds":50, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100, "sine":2},
% 0.22/0.47  {"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},
% 0.22/0.47  {"max_depth":0, "depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":50},
% 0.22/0.47  {"depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":50},
% 0.22/0.47  {"max_dseconds":50, "strategy":["hardness_pref", "posunitpara"], "query_preference":0, "depth_penalty":50, "length_penalty":100},
% 0.22/0.47  {"weight_select_ratio":100, "query_preference":0, "strategy":["negative_pref", "max_weight"], "max_dseconds":50},
% 0.22/0.47  {"max_dseconds":50, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.22/0.47  {"max_dseconds":50, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1},
% 0.22/0.47  {"var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["positive_pref"], "max_dseconds":50},
% 0.22/0.47  {"length_penalty":100, "depth_penalty":100, "query_preference":0, "strategy":["negative_pref", "hornpref", "max_weight"], "max_dseconds":50},
% 0.22/0.47  {"sine":1, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "depth_penalty":50, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":50},
% 0.22/0.47  {"max_dseconds":50, "strategy":["unit"], "query_preference":0, "max_depth":4},
% 0.22/0.47  {"sine":2, "query_preference":0, "strategy":["unit"], "max_dseconds":50},
% 0.22/0.47  {"weight_select_ratio":100, "rewrite":0, "depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":50},
% 0.22/0.47  
% 0.22/0.47  {"max_dseconds":250, "strategy":["unit", "pure_unit"], "max_size":30, "max_depth":10, "max_weight":300, "weight_select_ratio":1, "rewrite":0},
% 0.22/0.47  {"max_dseconds":250, "strategy":["query_focus"], "query_preference":3},
% 0.22/0.47  {"max_dseconds":250, "strategy":["unit"], "query_preference":0},
% 0.22/0.47  {"max_dseconds":250, "strategy":["query_focus", "unit"], "query_preference":0},
% 0.22/0.47  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":0, "depth_penalty":100, "sine":1},
% 0.22/0.47  {"weight_select_ratio":100, "query_preference":0, "strategy":["negative_pref", "max_weight"], "max_dseconds":250},
% 0.22/0.47  
% 0.22/0.47  {"max_dseconds":1250, "strategy":["unit", "pure_unit"], "max_size":30, "max_depth":10, "max_weight":300, "weight_select_ratio":1, "rewrite":0},
% 0.22/0.47  {"max_dseconds":1250, "strategy":["query_focus"], "query_preference":3},
% 0.22/0.47  {"max_dseconds":1250, "strategy":["unit"], "query_preference":0},
% 0.22/0.47  {"max_dseconds":1250, "strategy":["query_focus", "unit"], "query_preference":0},
% 0.22/0.47  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":0, "depth_penalty":100, "sine":1} 
% 0.22/0.47  
% 0.22/0.47  ]}
% 0.22/0.47  
% 0.22/0.47  
% 0.22/0.47  **** run 1 fork 0 starts with strategy
% 0.22/0.47  {"max_dseconds":1,"strategy":["unit","pure_unit"],"max_size":30,"max_depth":10,"max_weight":300,"weight_select_ratio":1,"rewrite":0}
% 0.22/0.47  
% 0.22/0.47  **** run 2 fork 1 starts with strategy
% 0.22/0.47  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0,"sine":5}
% 0.22/0.47  
% 0.22/0.47  **** run 3 fork 2 starts with strategy
% 0.22/0.47  {"max_dseconds":1,"strategy":["unit","prohibit_unordered_para"],"query_preference":1}
% 0.22/0.47  
% 0.22/0.47  **** run 4 fork 3 starts with strategy
% 0.22/0.47  {"max_dseconds":1,"strategy":["hardness_pref","prohibit_unordered_para"],"query_preference":1}
% 0.22/0.47  
% 0.22/0.47  **** run 5 fork 4 starts with strategy
% 0.22/0.47  {"max_dseconds":1,"strategy":["unit","prohibit_unordered_para","prohibit_deep_para"],"query_preference":0}
% 0.22/0.48  
% 0.22/0.48  **** run 7 fork 6 starts with strategy
% 0.22/0.48  {"max_dseconds":1,"strategy":["negative_pref","prohibit_unordered_para","prohibit_deep_para"],"query_preference":1}
% 0.22/0.48  
% 0.22/0.48  **** run 6 fork 5 starts with strategy
% 0.22/0.48  {"max_dseconds":1,"strategy":["unit","prohibit_unordered_para","prohibit_deep_para"],"query_preference":1}
% 0.22/0.49  
% 0.22/0.49  **** run 8 fork 7 starts with strategy
% 0.22/0.49  {"max_dseconds":1,"strategy":["unit","prohibit_nested_para","prohibit_deep_para","prohibit_unordered_para"],"query_preference":0}
% 0.22/0.54  
% 0.22/0.54  fork 0: search finished without proof.
% 0.22/0.57  
% 0.22/0.57  **** run 9 fork 0 starts with strategy
% 0.22/0.57  {"max_dseconds":1,"strategy":["negative_pref","prohibit_nested_para","prohibit_unordered_para","prohibit_deep_para"],"query_preference":0}
% 0.22/0.61  
% 0.22/0.61  fork 3: search finished without proof.
% 0.22/0.62  
% 0.22/0.62  fork 1: search finished without proof.
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% 0.22/0.62  fork 2: search finished without proof.
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% 0.22/0.62  fork 4: search finished without proof.
% 0.22/0.63  
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% 0.22/0.63  fork 5: search terminated without proof.
% 0.22/0.63  
% 0.22/0.63  fork 7: search finished without proof.
% 0.22/0.64  
% 0.22/0.64  
% 0.22/0.64  fork 6: search terminated without proof.
% 0.22/0.64  
% 0.22/0.64  **** run 12 fork 3 starts with strategy
% 0.22/0.64  {"max_dseconds":1,"strategy":["unit"],"query_preference":0}
% 0.22/0.64  
% 0.22/0.64  **** run 10 fork 1 starts with strategy
% 0.22/0.64  {"max_dseconds":1,"strategy":["hardness_pref","prohibit_nested_para","prohibit_unordered_para","prohibit_deep_para"],"query_preference":1}
% 0.22/0.65  
% 0.22/0.65  **** run 11 fork 2 starts with strategy
% 0.22/0.65  {"max_dseconds":1,"strategy":["query_focus"],"query_preference":3}
% 0.22/0.65  
% 0.22/0.65  **** run 13 fork 4 starts with strategy
% 0.22/0.65  {"max_dseconds":1,"strategy":["query_focus","unit"],"query_preference":0}
% 0.22/0.66  
% 0.22/0.66  **** run 16 fork 7 starts with strategy
% 0.22/0.66  {"weight_select_ratio":100,"var_weight":70,"repeat_var_weight":70,"query_preference":0,"strategy":["hardness_pref"],"max_dseconds":1}
% 0.22/0.66  
% 0.22/0.66  **** run 14 fork 5 starts with strategy
% 0.22/0.66  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0,"depth_penalty":100,"sine":1}
% 0.22/0.68  
% 0.22/0.68  **** run 15 fork 6 starts with strategy
% 0.22/0.68  {"max_dseconds":1,"strategy":["unit","pure_unit"],"weight_select_ratio":1,"query_preference":0}
% 0.22/0.71  No candidate clauses found.
% 0.22/0.71  
% 0.22/0.71  
% 0.22/0.71  fork 2: search terminated without proof.
% 0.22/0.71  
% 0.22/0.71  fork 0: search finished without proof.
% 0.22/0.73  
% 0.22/0.73  **** run 17 fork 0 starts with strategy
% 0.22/0.73  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0}
% 0.22/0.73  
% 0.22/0.73  **** run 19 fork 2 starts with strategy
% 0.22/0.73  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0,"weight_select_ratio":100,"depth_penalty":100,"length_penalty":100}
% 0.22/0.77  
% 0.22/0.77  fork 3: search finished without proof.
% 0.22/0.78  
% 0.22/0.78  fork 4: search finished without proof.
% 0.22/0.78  
% 0.22/0.78  fork 6: search finished without proof.
% 0.22/0.79  
% 0.22/0.79  
% 0.22/0.79  fork 7: search terminated without proof.
% 0.22/0.80  
% 0.22/0.80  **** run 20 fork 3 starts with strategy
% 0.22/0.80  {"max_dseconds":1,"strategy":["hardness_pref"],"query_preference":0,"weight_select_ratio":1,"depth_penalty":50,"length_penalty":100}
% 2.16/0.80  
% 2.16/0.80  
% 2.16/0.80  fork 5: search terminated without proof.
% 2.16/0.81  
% 2.16/0.81  **** run 21 fork 4 starts with strategy
% 2.16/0.81  {"max_dseconds":1,"strategy":["hardness_pref"],"query_preference":0,"sine":1}
% 2.16/0.81  
% 2.16/0.81  **** run 24 fork 7 starts with strategy
% 2.16/0.81  {"max_dseconds":1,"strategy":["hardness_pref"],"query_preference":0,"weight_select_ratio":20,"depth_penalty":50,"length_penalty":100}
% 2.16/0.82  
% 2.16/0.82  **** run 23 fork 6 starts with strategy
% 2.16/0.82  {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"depth_penalty":100}
% 2.16/0.83  
% 2.16/0.83  **** run 22 fork 5 starts with strategy
% 2.16/0.83  {"max_dseconds":1,"strategy":["query_focus","positive_pref"],"query_preference":0}
% 2.16/0.85  
% 2.16/0.85  fork 1: search finished without proof.
% 2.16/0.87  
% 2.16/0.87  fork 0: search finished without proof.
% 3.20/0.87  
% 3.20/0.87  **** run 18 fork 1 starts with strategy
% 3.20/0.87  {"max_dseconds":1,"strategy":["hardness_pref"],"query_preference":0}
% 3.20/0.87  
% 3.20/0.87  fork 2: search finished without proof.
% 3.20/0.89  
% 3.20/0.89  **** run 25 fork 0 starts with strategy
% 3.20/0.89  {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"sine":1}
% 3.20/0.89  
% 3.20/0.89  **** run 27 fork 2 starts with strategy
% 3.20/0.89  {"max_dseconds":1,"strategy":["positive_pref"],"query_preference":0}
% 3.72/0.94  
% 3.72/0.94  fork 3: search finished without proof.
% 3.72/0.95  
% 3.72/0.95  fork 4: search finished without proof.
% 3.72/0.95  
% 3.72/0.95  
% 3.72/0.95  fork 7: search terminated without proof.
% 3.72/0.96  
% 3.72/0.96  **** run 28 fork 3 starts with strategy
% 3.72/0.96  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0,"max_depth":4}
% 3.72/0.97  
% 3.72/0.97  **** run 32 fork 7 starts with strategy
% 3.72/0.97  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0,"max_depth":3}
% 3.72/0.97  
% 3.72/0.97  **** run 29 fork 4 starts with strategy
% 3.72/0.97  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0,"weight_select_ratio":1,"depth_penalty":50,"length_penalty":100}
% 3.72/0.98  
% 3.72/0.98  
% 3.72/0.98  fork 6: search terminated without proof.
% 3.72/0.98  
% 3.72/0.98  
% 3.72/0.98  fork 5: search terminated without proof.
% 3.72/1.00  
% 3.72/1.00  **** run 30 fork 5 starts with strategy
% 3.72/1.00  {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"var_weight":1,"depth_penalty":100,"repeat_var_weight":1}
% 3.72/1.00  
% 3.72/1.00  
% 3.72/1.00  fork 1: search terminated without proof.
% 3.72/1.01  
% 3.72/1.01  **** run 31 fork 6 starts with strategy
% 3.72/1.01  {"max_dseconds":1,"strategy":["positive_pref"],"query_preference":0,"reverse_clauselist":1,"length_penalty":100}
% 3.72/1.02  
% 3.72/1.02  fork 0: search finished without proof.
% 4.43/1.03  
% 4.43/1.03  **** run 26 fork 1 starts with strategy
% 4.43/1.03  {"max_dseconds":1,"strategy":["hardness_pref"],"query_preference":0,"rewrite":0}
% 4.43/1.03  
% 4.43/1.03  
% 4.43/1.03  fork 2: search terminated without proof.
% 4.43/1.04  
% 4.43/1.04  **** run 33 fork 0 starts with strategy
% 4.43/1.04  {"max_dseconds":1,"strategy":["negative_pref","prohibit_nested_para"],"query_preference":0}
% 4.43/1.05  
% 4.43/1.05  **** run 35 fork 2 starts with strategy
% 4.43/1.05  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0,"max_depth":1}
% 4.93/1.09  
% 4.93/1.09  fork 3: search finished without proof.
% 4.93/1.10  
% 4.93/1.10  fork 7: search finished without proof.
% 4.93/1.10  
% 4.93/1.10  fork 4: search finished without proof.
% 4.93/1.11  
% 4.93/1.11  **** run 36 fork 3 starts with strategy
% 4.93/1.11  {"max_dseconds":1,"strategy":["query_focus","unit"],"query_preference":0,"sine":2}
% 4.93/1.12  
% 4.93/1.12  **** run 40 fork 7 starts with strategy
% 4.93/1.12  {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"max_depth":6,"var_weight":1}
% 4.93/1.12  
% 4.93/1.12  **** run 37 fork 4 starts with strategy
% 4.93/1.12  {"sine":1,"var_weight":70,"repeat_var_weight":70,"query_preference":0,"strategy":["negative_pref","max_weight"],"max_dseconds":1}
% 4.93/1.13  
% 4.93/1.13  fork 5: search finished without proof.
% 4.93/1.15  
% 4.93/1.15  
% 4.93/1.15  fork 6: search terminated without proof.
% 4.93/1.15  
% 4.93/1.15  **** run 38 fork 5 starts with strategy
% 4.93/1.15  {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"rewrite":0}
% 5.48/1.17  
% 5.48/1.17  fork 0: search finished without proof.
% 5.56/1.17  
% 5.56/1.17  **** run 39 fork 6 starts with strategy
% 5.56/1.17  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0,"sine":1}
% 5.56/1.18  
% 5.56/1.18  fork 2: search finished without proof.
% 5.56/1.18  
% 5.56/1.18  
% 5.56/1.18  fork 1: search terminated without proof.
% 5.56/1.19  
% 5.56/1.19  **** run 41 fork 0 starts with strategy
% 5.56/1.19  {"var_weight":70,"repeat_var_weight":70,"depth_penalty":50,"query_preference":0,"strategy":["hardness_pref"],"max_dseconds":1}
% 5.56/1.20  
% 5.56/1.20  **** run 43 fork 2 starts with strategy
% 5.56/1.20  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0,"max_depth":2}
% 5.89/1.21  
% 5.89/1.21  **** run 34 fork 1 starts with strategy
% 5.89/1.21  {"max_dseconds":1,"strategy":["unit","pure_unit"],"query_preference":0}
% 6.12/1.24  
% 6.12/1.24  fork 3: search finished without proof.
% 6.12/1.25  
% 6.12/1.25  
% 6.12/1.25  fork 7: search terminated without proof.
% 6.12/1.25  
% 6.12/1.25  fork 4: search finished without proof.
% 6.12/1.26  
% 6.12/1.26  fork 1: search finished without proof.
% 6.12/1.27  
% 6.12/1.27  **** run 44 fork 3 starts with strategy
% 6.12/1.27  {"max_dseconds":1,"strategy":["hardness_pref"],"query_preference":0,"weight_select_ratio":1,"depth_penalty":50,"length_penalty":100,"sine":2}
% 6.12/1.27  
% 6.12/1.27  **** run 48 fork 7 starts with strategy
% 6.12/1.27  {"max_dseconds":1,"strategy":["hardness_pref","posunitpara"],"query_preference":0,"depth_penalty":50,"length_penalty":100}
% 6.12/1.28  
% 6.12/1.28  **** run 45 fork 4 starts with strategy
% 6.12/1.28  {"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}
% 6.12/1.28  
% 6.12/1.28  **** run 42 fork 1 starts with strategy
% 6.12/1.28  {"weight_select_ratio":100,"var_weight":70,"repeat_var_weight":70,"rewrite":0,"query_preference":0,"strategy":["query_focus","posunitpara"],"max_dseconds":1}
% 6.12/1.29  
% 6.12/1.29  
% 6.12/1.29  fork 5: search terminated without proof.
% 6.12/1.30  
% 6.12/1.30  fork 6: search finished without proof.
% 6.12/1.32  
% 6.12/1.32  **** run 46 fork 5 starts with strategy
% 6.12/1.32  {"max_depth":0,"depth_penalty":100,"query_preference":0,"strategy":["unit","posunitpara"],"max_dseconds":1}
% 6.12/1.32  
% 6.12/1.32  **** run 47 fork 6 starts with strategy
% 6.12/1.32  {"depth_penalty":100,"query_preference":0,"strategy":["unit","posunitpara"],"max_dseconds":1}
% 6.12/1.32  
% 6.12/1.32  fork 0: search finished without proof.
% 6.83/1.33  
% 6.83/1.33  fork 2: search finished without proof.
% 6.83/1.34  
% 6.83/1.34  **** run 49 fork 0 starts with strategy
% 6.83/1.34  {"weight_select_ratio":100,"query_preference":0,"strategy":["negative_pref","max_weight"],"max_dseconds":1}
% 6.83/1.35  
% 6.83/1.35  **** run 51 fork 2 starts with strategy
% 6.83/1.35  {"max_dseconds":1,"strategy":["positive_pref"],"query_preference":0,"reverse_clauselist":1}
% 6.83/1.40  
% 6.83/1.40  fork 3: search finished without proof.
% 6.83/1.41  
% 6.83/1.41  fork 7: search finished without proof.
% 6.83/1.41  
% 6.83/1.41  
% 6.83/1.41  fork 4: search terminated without proof.
% 6.83/1.42  
% 6.83/1.42  **** run 52 fork 3 starts with strategy
% 6.83/1.42  {"var_weight":70,"repeat_var_weight":70,"query_preference":0,"strategy":["positive_pref"],"max_dseconds":1}
% 6.83/1.43  
% 6.83/1.43  **** run 56 fork 7 starts with strategy
% 6.83/1.43  {"sine":2,"query_preference":0,"strategy":["unit"],"max_dseconds":1}
% 6.83/1.43  
% 6.83/1.43  
% 6.83/1.43  fork 1: search terminated without proof.
% 6.83/1.44  
% 6.83/1.44  **** run 53 fork 4 starts with strategy
% 6.83/1.44  {"length_penalty":100,"depth_penalty":100,"query_preference":0,"strategy":["negative_pref","hornpref","max_weight"],"max_dseconds":1}
% 6.83/1.45  
% 6.83/1.45  fork 6: search finished without proof.
% 6.83/1.46  
% 6.83/1.46  **** run 50 fork 1 starts with strategy
% 6.83/1.46  {"max_dseconds":1,"strategy":["hardness_pref","max_ground_weight"],"query_preference":0}
% 6.83/1.47  
% 6.83/1.47  fork 0: search finished without proof.
% 6.83/1.47  
% 6.83/1.47  **** run 55 fork 6 starts with strategy
% 6.83/1.47  {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"max_depth":4}
% 6.83/1.49  
% 6.83/1.49  **** run 57 fork 0 starts with strategy
% 6.83/1.49  {"weight_select_ratio":100,"rewrite":0,"depth_penalty":100,"query_preference":0,"strategy":["unit","posunitpara"],"max_dseconds":1}
% 6.83/1.53  
% 6.83/1.53  
% 6.83/1.53  fork 2: search terminated without proof.
% 7.80/1.54  
% 7.80/1.54  fork 5: search finished without proof.
% 7.80/1.55  
% 7.80/1.55  **** run 59 fork 2 starts with strategy
% 7.80/1.55  {"max_dseconds":10,"strategy":["negative_pref"],"query_preference":0,"sine":5}
% 7.80/1.56  
% 7.80/1.56  
% 7.80/1.56  fork 3: search terminated without proof.
% 7.80/1.57  
% 7.80/1.57  
% 7.80/1.57  fork 4: search terminated without proof.
% 7.80/1.58  
% 7.80/1.58  **** run 54 fork 5 starts with strategy
% 7.80/1.58  {"sine":1,"var_weight":70,"repeat_var_weight":70,"rewrite":0,"depth_penalty":50,"query_preference":0,"strategy":["hardness_pref"],"max_dseconds":1}
% 7.80/1.58  
% 7.80/1.58  fork 7: search finished without proof.
% 7.80/1.59  
% 7.80/1.59  **** run 60 fork 3 starts with strategy
% 7.80/1.59  {"max_dseconds":10,"strategy":["unit","prohibit_unordered_para"],"query_preference":1}
% 7.80/1.60  
% 7.80/1.60  **** run 61 fork 4 starts with strategy
% 7.80/1.60  {"max_dseconds":10,"strategy":["hardness_pref","prohibit_unordered_para"],"query_preference":1}
% 7.80/1.60  
% 7.80/1.60  fork 1: search finished without proof.
% 8.91/1.61  
% 8.91/1.61  fork 6: search finished without proof.
% 8.91/1.61  
% 8.91/1.61  **** run 64 fork 7 starts with strategy
% 8.91/1.61  {"max_dseconds":10,"strategy":["negative_pref","prohibit_unordered_para","prohibit_deep_para"],"query_preference":1}
% 9.00/1.63  
% 9.00/1.63  **** run 58 fork 1 starts with strategy
% 9.00/1.63  {"max_dseconds":10,"strategy":["unit","pure_unit"],"max_size":30,"max_depth":10,"max_weight":300,"weight_select_ratio":1,"rewrite":0}
% 9.00/1.63  
% 9.00/1.63  fork 0: search finished without proof.
% 9.00/1.63  
% 9.00/1.63  **** run 63 fork 6 starts with strategy
% 9.00/1.63  {"max_dseconds":10,"strategy":["unit","prohibit_unordered_para","prohibit_deep_para"],"query_preference":1}
% 9.00/1.65  
% 9.00/1.65  **** run 65 fork 0 starts with strategy
% 9.00/1.65  {"max_dseconds":10,"strategy":["unit","prohibit_nested_para","prohibit_deep_para","prohibit_unordered_para"],"query_preference":0}
% 9.00/1.67  
% 9.00/1.67  fork 1: search finished without proof.
% 9.00/1.69  
% 9.00/1.69  **** run 66 fork 1 starts with strategy
% 9.00/1.69  {"max_dseconds":10,"strategy":["negative_pref","prohibit_nested_para","prohibit_unordered_para","prohibit_deep_para"],"query_preference":0}
% 9.72/1.73  
% 9.72/1.73  
% 9.72/1.73  fork 5: search terminated without proof.
% 9.72/1.75  
% 9.72/1.75  **** run 62 fork 5 starts with strategy
% 9.72/1.75  {"max_dseconds":10,"strategy":["unit","prohibit_unordered_para","prohibit_deep_para"],"query_preference":0}
% 15.82/2.55  
% 15.82/2.55  fork 3: search finished without proof.
% 16.47/2.57  
% 16.47/2.57  **** run 68 fork 3 starts with strategy
% 16.47/2.57  {"max_dseconds":10,"strategy":["query_focus"],"query_preference":3}
% 16.57/2.58  
% 16.57/2.58  
% 16.57/2.58  result: proof found
% 16.57/2.58  for /export/starexec/sandbox/benchmark/theBenchmark.p 
% 16.57/2.58  by run 62 fork 5 strategy {"max_dseconds":10,"strategy":["unit","prohibit_unordered_para","prohibit_deep_para"],"query_preference":0}
% 16.57/2.58  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p 
% 16.57/2.58  
% 16.57/2.58  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p 
% See solution above
% 16.57/2.58  
% 16.57/2.58  run 62 fork 5 statistics:
% 16.57/2.58  ----------------------------------
% 16.57/2.58  this run seconds: 0.787319
% 16.57/2.58  total seconds: 2.003992
% 16.57/2.58  stat_given_used: 6020
% 16.57/2.58  stat_given_used_at_endgame: 0
% 16.57/2.58  stat_given_candidates:   19524
% 16.57/2.58  stat_given_candidates_at_endgame: 0
% 16.57/2.58  stat_given_candidates_h: 0
% 16.57/2.58  stat_binres_derived_cl:   2416
% 16.57/2.58  stat_binres_derived_cl_h: 0
% 16.57/2.58  stat_factor_derived_cl: 2
% 16.57/2.58  stat_para_derived_cl: 23614
% 16.57/2.58  stat_tautologies_discarded: 301
% 16.57/2.58  stat_forward_subsumed: 8077
% 16.57/2.58  stat_derived_cut: 4533
% 16.57/2.58  stat_derived_rewritten: 3023
% 16.57/2.58  stat_weight_discarded_building: 0
% 16.57/2.58  stat_weight_discarded_cl: 1142
% 16.57/2.58  stat_internlimit_discarded_cl: 0
% 16.57/2.58  stat_simplified:  4432 simplified 0 derived 0 given
% 16.57/2.58  stat_kept_cl: 15982
% 16.57/2.58  stat_built_cl: 33595
% 16.57/2.58  stat_hyperres_partial_cl: 0
% 16.57/2.58  stat_made_rewriters: 106
% 16.57/2.58  stat_backward_subsumed: 0
% 16.57/2.58  stat_propagated_subsumed: 0
% 16.57/2.58  stat_clsubs_attempted:                     49782
% 16.57/2.58  stat_clsubs_fact_groundunit_found:            49
% 16.57/2.58  stat_clsubs_rule_groundunit_found:           572
% 16.57/2.58  stat_clsubs_top_meta_attempted:           31173383
% 16.57/2.58  stat_clsubs_top_meta_failed:              31123601
% 16.57/2.58  stat_clsubs_top_meta_nonpref_attempted:            31173383
% 16.57/2.58  stat_clsubs_top_meta_nonpref_succeeded:             8066460
% 16.57/2.58  
% 16.57/2.58  fork 2: search finished without proof.
% 16.57/2.58  stat_clsubs_top_meta_pref_attempted:                8066460
% 16.57/2.58  stat_clsubs_top_meta_pref1_succeeded:               4522906
% 16.57/2.58  stat_clsubs_top_meta_pref2_succeeded:                 86506
% 16.57/2.58  stat_clsubs_top_meta_pref3_succeeded:                 49782
% 16.57/2.58  stat_clsubs_top_meta_pref_succeeded:                  49782
% 16.57/2.58  stat_clsubs_meta_attempted:                97785
% 16.57/2.58  stat_clsubs_meta_failed:                   72082
% 16.57/2.58  stat_clsubs_predsymbs_attempted:               0
% 16.57/2.58  stat_clsubs_unit_attempted:                    0
% 16.57/2.58  stat_clsubs_full_attempted:                49782
% 16.57/2.58  stat_forwardsubs_attempted:                25201
% 16.57/2.58  stat_lit_hash_added:                  18688
% 16.57/2.58  stat_lit_hash_computed:              217894
% 16.57/2.58  stat_lit_hash_match_found:            24577
% 16.57/2.58  stat_lit_hash_match_miss:            285396
% 16.57/2.58  stat_lit_hash_cut_ok:                 11790
% 16.57/2.58  stat_lit_strong_cut_ok:                   0
% 16.57/2.58  stat_lit_hash_subsume_ok:              8077
% 16.57/2.58  clqueue els 10000000 used 1
% 16.57/2.58  clactive els 10000000 used 6021
% 16.57/2.58  clactivesubsume els 10000000 used 31639
% 16.57/2.58  queue_termbuf els 200000000 used 2499728
% 16.57/2.58  hyper_termbuf els 100000000 used 1
% 16.57/2.58  active_termbuf els 100000000 used 249685
% 16.57/2.58  varstack els 5000 last used 1
% 16.57/2.58  given_termbuf els 10000000 last used 1
% 16.57/2.58  simplified_termbuf els 10000000 last used 1
% 16.57/2.58  derived_termbuf els 10000000 last used 37
% 16.57/2.58  wr_mallocs: 79487
% 16.57/2.58  wr_callocs: 21
% 16.57/2.58  wr_reallocs: 3675
% 16.57/2.58  wr_frees: 4
% 16.57/2.58  wr_malloc_bytes: 4165217956
% 16.57/2.58  wr_calloc_bytes: 112065536
% 16.57/2.58  wr_realloc_bytes: 1287592
% 16.57/2.58  wr_realloc_freebytes: 0
% 16.57/2.58  ----------------------------------
%------------------------------------------------------------------------------