TSTP Solution File: ALG200+1 by Drodi---3.6.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : ALG200+1 : TPTP v8.1.2. Released v2.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n024.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Apr 30 20:10:53 EDT 2024

% Result   : Theorem 0.18s 0.45s
% Output   : CNFRefutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   52
% Syntax   : Number of formulae    :  266 (  71 unt;   0 def)
%            Number of atoms       :  939 ( 623 equ)
%            Maximal formula atoms :  343 (   3 avg)
%            Number of connectives :  914 ( 241   ~; 540   |;  84   &)
%                                         (  49 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   55 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   51 (  49 usr;  50 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   7 con; 0-2 aty)
%            Number of variables   :    0 (   0   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ( ( op(e0,e0) = e0
      | op(e0,e0) = e1
      | op(e0,e0) = e2
      | op(e0,e0) = e3
      | op(e0,e0) = e4
      | op(e0,e0) = e5
      | op(e0,e0) = e6 )
    & ( op(e0,e1) = e0
      | op(e0,e1) = e1
      | op(e0,e1) = e2
      | op(e0,e1) = e3
      | op(e0,e1) = e4
      | op(e0,e1) = e5
      | op(e0,e1) = e6 )
    & ( op(e0,e2) = e0
      | op(e0,e2) = e1
      | op(e0,e2) = e2
      | op(e0,e2) = e3
      | op(e0,e2) = e4
      | op(e0,e2) = e5
      | op(e0,e2) = e6 )
    & ( op(e0,e3) = e0
      | op(e0,e3) = e1
      | op(e0,e3) = e2
      | op(e0,e3) = e3
      | op(e0,e3) = e4
      | op(e0,e3) = e5
      | op(e0,e3) = e6 )
    & ( op(e0,e4) = e0
      | op(e0,e4) = e1
      | op(e0,e4) = e2
      | op(e0,e4) = e3
      | op(e0,e4) = e4
      | op(e0,e4) = e5
      | op(e0,e4) = e6 )
    & ( op(e0,e5) = e0
      | op(e0,e5) = e1
      | op(e0,e5) = e2
      | op(e0,e5) = e3
      | op(e0,e5) = e4
      | op(e0,e5) = e5
      | op(e0,e5) = e6 )
    & ( op(e0,e6) = e0
      | op(e0,e6) = e1
      | op(e0,e6) = e2
      | op(e0,e6) = e3
      | op(e0,e6) = e4
      | op(e0,e6) = e5
      | op(e0,e6) = e6 )
    & ( op(e1,e0) = e0
      | op(e1,e0) = e1
      | op(e1,e0) = e2
      | op(e1,e0) = e3
      | op(e1,e0) = e4
      | op(e1,e0) = e5
      | op(e1,e0) = e6 )
    & ( op(e1,e1) = e0
      | op(e1,e1) = e1
      | op(e1,e1) = e2
      | op(e1,e1) = e3
      | op(e1,e1) = e4
      | op(e1,e1) = e5
      | op(e1,e1) = e6 )
    & ( op(e1,e2) = e0
      | op(e1,e2) = e1
      | op(e1,e2) = e2
      | op(e1,e2) = e3
      | op(e1,e2) = e4
      | op(e1,e2) = e5
      | op(e1,e2) = e6 )
    & ( op(e1,e3) = e0
      | op(e1,e3) = e1
      | op(e1,e3) = e2
      | op(e1,e3) = e3
      | op(e1,e3) = e4
      | op(e1,e3) = e5
      | op(e1,e3) = e6 )
    & ( op(e1,e4) = e0
      | op(e1,e4) = e1
      | op(e1,e4) = e2
      | op(e1,e4) = e3
      | op(e1,e4) = e4
      | op(e1,e4) = e5
      | op(e1,e4) = e6 )
    & ( op(e1,e5) = e0
      | op(e1,e5) = e1
      | op(e1,e5) = e2
      | op(e1,e5) = e3
      | op(e1,e5) = e4
      | op(e1,e5) = e5
      | op(e1,e5) = e6 )
    & ( op(e1,e6) = e0
      | op(e1,e6) = e1
      | op(e1,e6) = e2
      | op(e1,e6) = e3
      | op(e1,e6) = e4
      | op(e1,e6) = e5
      | op(e1,e6) = e6 )
    & ( op(e2,e0) = e0
      | op(e2,e0) = e1
      | op(e2,e0) = e2
      | op(e2,e0) = e3
      | op(e2,e0) = e4
      | op(e2,e0) = e5
      | op(e2,e0) = e6 )
    & ( op(e2,e1) = e0
      | op(e2,e1) = e1
      | op(e2,e1) = e2
      | op(e2,e1) = e3
      | op(e2,e1) = e4
      | op(e2,e1) = e5
      | op(e2,e1) = e6 )
    & ( op(e2,e2) = e0
      | op(e2,e2) = e1
      | op(e2,e2) = e2
      | op(e2,e2) = e3
      | op(e2,e2) = e4
      | op(e2,e2) = e5
      | op(e2,e2) = e6 )
    & ( op(e2,e3) = e0
      | op(e2,e3) = e1
      | op(e2,e3) = e2
      | op(e2,e3) = e3
      | op(e2,e3) = e4
      | op(e2,e3) = e5
      | op(e2,e3) = e6 )
    & ( op(e2,e4) = e0
      | op(e2,e4) = e1
      | op(e2,e4) = e2
      | op(e2,e4) = e3
      | op(e2,e4) = e4
      | op(e2,e4) = e5
      | op(e2,e4) = e6 )
    & ( op(e2,e5) = e0
      | op(e2,e5) = e1
      | op(e2,e5) = e2
      | op(e2,e5) = e3
      | op(e2,e5) = e4
      | op(e2,e5) = e5
      | op(e2,e5) = e6 )
    & ( op(e2,e6) = e0
      | op(e2,e6) = e1
      | op(e2,e6) = e2
      | op(e2,e6) = e3
      | op(e2,e6) = e4
      | op(e2,e6) = e5
      | op(e2,e6) = e6 )
    & ( op(e3,e0) = e0
      | op(e3,e0) = e1
      | op(e3,e0) = e2
      | op(e3,e0) = e3
      | op(e3,e0) = e4
      | op(e3,e0) = e5
      | op(e3,e0) = e6 )
    & ( op(e3,e1) = e0
      | op(e3,e1) = e1
      | op(e3,e1) = e2
      | op(e3,e1) = e3
      | op(e3,e1) = e4
      | op(e3,e1) = e5
      | op(e3,e1) = e6 )
    & ( op(e3,e2) = e0
      | op(e3,e2) = e1
      | op(e3,e2) = e2
      | op(e3,e2) = e3
      | op(e3,e2) = e4
      | op(e3,e2) = e5
      | op(e3,e2) = e6 )
    & ( op(e3,e3) = e0
      | op(e3,e3) = e1
      | op(e3,e3) = e2
      | op(e3,e3) = e3
      | op(e3,e3) = e4
      | op(e3,e3) = e5
      | op(e3,e3) = e6 )
    & ( op(e3,e4) = e0
      | op(e3,e4) = e1
      | op(e3,e4) = e2
      | op(e3,e4) = e3
      | op(e3,e4) = e4
      | op(e3,e4) = e5
      | op(e3,e4) = e6 )
    & ( op(e3,e5) = e0
      | op(e3,e5) = e1
      | op(e3,e5) = e2
      | op(e3,e5) = e3
      | op(e3,e5) = e4
      | op(e3,e5) = e5
      | op(e3,e5) = e6 )
    & ( op(e3,e6) = e0
      | op(e3,e6) = e1
      | op(e3,e6) = e2
      | op(e3,e6) = e3
      | op(e3,e6) = e4
      | op(e3,e6) = e5
      | op(e3,e6) = e6 )
    & ( op(e4,e0) = e0
      | op(e4,e0) = e1
      | op(e4,e0) = e2
      | op(e4,e0) = e3
      | op(e4,e0) = e4
      | op(e4,e0) = e5
      | op(e4,e0) = e6 )
    & ( op(e4,e1) = e0
      | op(e4,e1) = e1
      | op(e4,e1) = e2
      | op(e4,e1) = e3
      | op(e4,e1) = e4
      | op(e4,e1) = e5
      | op(e4,e1) = e6 )
    & ( op(e4,e2) = e0
      | op(e4,e2) = e1
      | op(e4,e2) = e2
      | op(e4,e2) = e3
      | op(e4,e2) = e4
      | op(e4,e2) = e5
      | op(e4,e2) = e6 )
    & ( op(e4,e3) = e0
      | op(e4,e3) = e1
      | op(e4,e3) = e2
      | op(e4,e3) = e3
      | op(e4,e3) = e4
      | op(e4,e3) = e5
      | op(e4,e3) = e6 )
    & ( op(e4,e4) = e0
      | op(e4,e4) = e1
      | op(e4,e4) = e2
      | op(e4,e4) = e3
      | op(e4,e4) = e4
      | op(e4,e4) = e5
      | op(e4,e4) = e6 )
    & ( op(e4,e5) = e0
      | op(e4,e5) = e1
      | op(e4,e5) = e2
      | op(e4,e5) = e3
      | op(e4,e5) = e4
      | op(e4,e5) = e5
      | op(e4,e5) = e6 )
    & ( op(e4,e6) = e0
      | op(e4,e6) = e1
      | op(e4,e6) = e2
      | op(e4,e6) = e3
      | op(e4,e6) = e4
      | op(e4,e6) = e5
      | op(e4,e6) = e6 )
    & ( op(e5,e0) = e0
      | op(e5,e0) = e1
      | op(e5,e0) = e2
      | op(e5,e0) = e3
      | op(e5,e0) = e4
      | op(e5,e0) = e5
      | op(e5,e0) = e6 )
    & ( op(e5,e1) = e0
      | op(e5,e1) = e1
      | op(e5,e1) = e2
      | op(e5,e1) = e3
      | op(e5,e1) = e4
      | op(e5,e1) = e5
      | op(e5,e1) = e6 )
    & ( op(e5,e2) = e0
      | op(e5,e2) = e1
      | op(e5,e2) = e2
      | op(e5,e2) = e3
      | op(e5,e2) = e4
      | op(e5,e2) = e5
      | op(e5,e2) = e6 )
    & ( op(e5,e3) = e0
      | op(e5,e3) = e1
      | op(e5,e3) = e2
      | op(e5,e3) = e3
      | op(e5,e3) = e4
      | op(e5,e3) = e5
      | op(e5,e3) = e6 )
    & ( op(e5,e4) = e0
      | op(e5,e4) = e1
      | op(e5,e4) = e2
      | op(e5,e4) = e3
      | op(e5,e4) = e4
      | op(e5,e4) = e5
      | op(e5,e4) = e6 )
    & ( op(e5,e5) = e0
      | op(e5,e5) = e1
      | op(e5,e5) = e2
      | op(e5,e5) = e3
      | op(e5,e5) = e4
      | op(e5,e5) = e5
      | op(e5,e5) = e6 )
    & ( op(e5,e6) = e0
      | op(e5,e6) = e1
      | op(e5,e6) = e2
      | op(e5,e6) = e3
      | op(e5,e6) = e4
      | op(e5,e6) = e5
      | op(e5,e6) = e6 )
    & ( op(e6,e0) = e0
      | op(e6,e0) = e1
      | op(e6,e0) = e2
      | op(e6,e0) = e3
      | op(e6,e0) = e4
      | op(e6,e0) = e5
      | op(e6,e0) = e6 )
    & ( op(e6,e1) = e0
      | op(e6,e1) = e1
      | op(e6,e1) = e2
      | op(e6,e1) = e3
      | op(e6,e1) = e4
      | op(e6,e1) = e5
      | op(e6,e1) = e6 )
    & ( op(e6,e2) = e0
      | op(e6,e2) = e1
      | op(e6,e2) = e2
      | op(e6,e2) = e3
      | op(e6,e2) = e4
      | op(e6,e2) = e5
      | op(e6,e2) = e6 )
    & ( op(e6,e3) = e0
      | op(e6,e3) = e1
      | op(e6,e3) = e2
      | op(e6,e3) = e3
      | op(e6,e3) = e4
      | op(e6,e3) = e5
      | op(e6,e3) = e6 )
    & ( op(e6,e4) = e0
      | op(e6,e4) = e1
      | op(e6,e4) = e2
      | op(e6,e4) = e3
      | op(e6,e4) = e4
      | op(e6,e4) = e5
      | op(e6,e4) = e6 )
    & ( op(e6,e5) = e0
      | op(e6,e5) = e1
      | op(e6,e5) = e2
      | op(e6,e5) = e3
      | op(e6,e5) = e4
      | op(e6,e5) = e5
      | op(e6,e5) = e6 )
    & ( op(e6,e6) = e0
      | op(e6,e6) = e1
      | op(e6,e6) = e2
      | op(e6,e6) = e3
      | op(e6,e6) = e4
      | op(e6,e6) = e5
      | op(e6,e6) = e6 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f5,axiom,
    ( e0 != e1
    & e0 != e2
    & e0 != e3
    & e0 != e4
    & e0 != e5
    & e0 != e6
    & e1 != e2
    & e1 != e3
    & e1 != e4
    & e1 != e5
    & e1 != e6
    & e2 != e3
    & e2 != e4
    & e2 != e5
    & e2 != e6
    & e3 != e4
    & e3 != e5
    & e3 != e6
    & e4 != e5
    & e4 != e6
    & e5 != e6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f7,conjecture,
    ~ ( op(e0,e0) = e0
      & op(e1,e1) = e1
      & op(e2,e2) = e2
      & op(e3,e3) = e3
      & op(e4,e4) = e4
      & op(e5,e5) = e5
      & op(e6,e6) = e6
      & ( op(e0,e0) = e0
        | op(e1,e1) = e1
        | op(e2,e2) = e2
        | op(e3,e3) = e3
        | op(e4,e4) = e4
        | op(e5,e5) = e5
        | op(e6,e6) = e6 )
      & ( op(e0,e0) != e0
        | op(e1,e1) != e1
        | op(e2,e2) != e2
        | op(e3,e3) != e3
        | op(e4,e4) != e4
        | op(e5,e5) != e5
        | op(e6,e6) != e6 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f8,negated_conjecture,
    ~ ~ ( op(e0,e0) = e0
        & op(e1,e1) = e1
        & op(e2,e2) = e2
        & op(e3,e3) = e3
        & op(e4,e4) = e4
        & op(e5,e5) = e5
        & op(e6,e6) = e6
        & ( op(e0,e0) = e0
          | op(e1,e1) = e1
          | op(e2,e2) = e2
          | op(e3,e3) = e3
          | op(e4,e4) = e4
          | op(e5,e5) = e5
          | op(e6,e6) = e6 )
        & ( op(e0,e0) != e0
          | op(e1,e1) != e1
          | op(e2,e2) != e2
          | op(e3,e3) != e3
          | op(e4,e4) != e4
          | op(e5,e5) != e5
          | op(e6,e6) != e6 ) ),
    inference(negated_conjecture,[status(cth)],[f7]) ).

fof(f9,plain,
    ( op(e0,e0) = e0
    | op(e0,e0) = e1
    | op(e0,e0) = e2
    | op(e0,e0) = e3
    | op(e0,e0) = e4
    | op(e0,e0) = e5
    | op(e0,e0) = e6 ),
    inference(cnf_transformation,[status(esa)],[f1]) ).

fof(f17,plain,
    ( op(e1,e1) = e0
    | op(e1,e1) = e1
    | op(e1,e1) = e2
    | op(e1,e1) = e3
    | op(e1,e1) = e4
    | op(e1,e1) = e5
    | op(e1,e1) = e6 ),
    inference(cnf_transformation,[status(esa)],[f1]) ).

fof(f25,plain,
    ( op(e2,e2) = e0
    | op(e2,e2) = e1
    | op(e2,e2) = e2
    | op(e2,e2) = e3
    | op(e2,e2) = e4
    | op(e2,e2) = e5
    | op(e2,e2) = e6 ),
    inference(cnf_transformation,[status(esa)],[f1]) ).

fof(f33,plain,
    ( op(e3,e3) = e0
    | op(e3,e3) = e1
    | op(e3,e3) = e2
    | op(e3,e3) = e3
    | op(e3,e3) = e4
    | op(e3,e3) = e5
    | op(e3,e3) = e6 ),
    inference(cnf_transformation,[status(esa)],[f1]) ).

fof(f41,plain,
    ( op(e4,e4) = e0
    | op(e4,e4) = e1
    | op(e4,e4) = e2
    | op(e4,e4) = e3
    | op(e4,e4) = e4
    | op(e4,e4) = e5
    | op(e4,e4) = e6 ),
    inference(cnf_transformation,[status(esa)],[f1]) ).

fof(f49,plain,
    ( op(e5,e5) = e0
    | op(e5,e5) = e1
    | op(e5,e5) = e2
    | op(e5,e5) = e3
    | op(e5,e5) = e4
    | op(e5,e5) = e5
    | op(e5,e5) = e6 ),
    inference(cnf_transformation,[status(esa)],[f1]) ).

fof(f57,plain,
    ( op(e6,e6) = e0
    | op(e6,e6) = e1
    | op(e6,e6) = e2
    | op(e6,e6) = e3
    | op(e6,e6) = e4
    | op(e6,e6) = e5
    | op(e6,e6) = e6 ),
    inference(cnf_transformation,[status(esa)],[f1]) ).

fof(f499,plain,
    e0 != e1,
    inference(cnf_transformation,[status(esa)],[f5]) ).

fof(f500,plain,
    e0 != e2,
    inference(cnf_transformation,[status(esa)],[f5]) ).

fof(f501,plain,
    e0 != e3,
    inference(cnf_transformation,[status(esa)],[f5]) ).

fof(f502,plain,
    e0 != e4,
    inference(cnf_transformation,[status(esa)],[f5]) ).

fof(f503,plain,
    e0 != e5,
    inference(cnf_transformation,[status(esa)],[f5]) ).

fof(f504,plain,
    e0 != e6,
    inference(cnf_transformation,[status(esa)],[f5]) ).

fof(f505,plain,
    e1 != e2,
    inference(cnf_transformation,[status(esa)],[f5]) ).

fof(f506,plain,
    e1 != e3,
    inference(cnf_transformation,[status(esa)],[f5]) ).

fof(f507,plain,
    e1 != e4,
    inference(cnf_transformation,[status(esa)],[f5]) ).

fof(f508,plain,
    e1 != e5,
    inference(cnf_transformation,[status(esa)],[f5]) ).

fof(f509,plain,
    e1 != e6,
    inference(cnf_transformation,[status(esa)],[f5]) ).

fof(f510,plain,
    e2 != e3,
    inference(cnf_transformation,[status(esa)],[f5]) ).

fof(f511,plain,
    e2 != e4,
    inference(cnf_transformation,[status(esa)],[f5]) ).

fof(f512,plain,
    e2 != e5,
    inference(cnf_transformation,[status(esa)],[f5]) ).

fof(f513,plain,
    e2 != e6,
    inference(cnf_transformation,[status(esa)],[f5]) ).

fof(f514,plain,
    e3 != e4,
    inference(cnf_transformation,[status(esa)],[f5]) ).

fof(f515,plain,
    e3 != e5,
    inference(cnf_transformation,[status(esa)],[f5]) ).

fof(f516,plain,
    e3 != e6,
    inference(cnf_transformation,[status(esa)],[f5]) ).

fof(f517,plain,
    e4 != e5,
    inference(cnf_transformation,[status(esa)],[f5]) ).

fof(f518,plain,
    e4 != e6,
    inference(cnf_transformation,[status(esa)],[f5]) ).

fof(f519,plain,
    e5 != e6,
    inference(cnf_transformation,[status(esa)],[f5]) ).

fof(f525,plain,
    op(e0,e0) = e0,
    inference(cnf_transformation,[status(esa)],[f8]) ).

fof(f526,plain,
    op(e1,e1) = e1,
    inference(cnf_transformation,[status(esa)],[f8]) ).

fof(f527,plain,
    op(e2,e2) = e2,
    inference(cnf_transformation,[status(esa)],[f8]) ).

fof(f528,plain,
    op(e3,e3) = e3,
    inference(cnf_transformation,[status(esa)],[f8]) ).

fof(f529,plain,
    op(e4,e4) = e4,
    inference(cnf_transformation,[status(esa)],[f8]) ).

fof(f530,plain,
    op(e5,e5) = e5,
    inference(cnf_transformation,[status(esa)],[f8]) ).

fof(f531,plain,
    op(e6,e6) = e6,
    inference(cnf_transformation,[status(esa)],[f8]) ).

fof(f533,plain,
    ( op(e0,e0) != e0
    | op(e1,e1) != e1
    | op(e2,e2) != e2
    | op(e3,e3) != e3
    | op(e4,e4) != e4
    | op(e5,e5) != e5
    | op(e6,e6) != e6 ),
    inference(cnf_transformation,[status(esa)],[f8]) ).

fof(f534,plain,
    ( spl0_0
  <=> op(e0,e0) = e0 ),
    introduced(split_symbol_definition) ).

fof(f537,plain,
    ( spl0_1
  <=> op(e0,e0) = e1 ),
    introduced(split_symbol_definition) ).

fof(f538,plain,
    ( op(e0,e0) = e1
    | ~ spl0_1 ),
    inference(component_clause,[status(thm)],[f537]) ).

fof(f540,plain,
    ( spl0_2
  <=> op(e0,e0) = e2 ),
    introduced(split_symbol_definition) ).

fof(f541,plain,
    ( op(e0,e0) = e2
    | ~ spl0_2 ),
    inference(component_clause,[status(thm)],[f540]) ).

fof(f543,plain,
    ( spl0_3
  <=> op(e0,e0) = e3 ),
    introduced(split_symbol_definition) ).

fof(f544,plain,
    ( op(e0,e0) = e3
    | ~ spl0_3 ),
    inference(component_clause,[status(thm)],[f543]) ).

fof(f546,plain,
    ( spl0_4
  <=> op(e0,e0) = e4 ),
    introduced(split_symbol_definition) ).

fof(f547,plain,
    ( op(e0,e0) = e4
    | ~ spl0_4 ),
    inference(component_clause,[status(thm)],[f546]) ).

fof(f549,plain,
    ( spl0_5
  <=> op(e0,e0) = e5 ),
    introduced(split_symbol_definition) ).

fof(f550,plain,
    ( op(e0,e0) = e5
    | ~ spl0_5 ),
    inference(component_clause,[status(thm)],[f549]) ).

fof(f552,plain,
    ( spl0_6
  <=> op(e0,e0) = e6 ),
    introduced(split_symbol_definition) ).

fof(f553,plain,
    ( op(e0,e0) = e6
    | ~ spl0_6 ),
    inference(component_clause,[status(thm)],[f552]) ).

fof(f555,plain,
    ( spl0_0
    | spl0_1
    | spl0_2
    | spl0_3
    | spl0_4
    | spl0_5
    | spl0_6 ),
    inference(split_clause,[status(thm)],[f9,f534,f537,f540,f543,f546,f549,f552]) ).

fof(f710,plain,
    ( spl0_56
  <=> op(e1,e1) = e0 ),
    introduced(split_symbol_definition) ).

fof(f711,plain,
    ( op(e1,e1) = e0
    | ~ spl0_56 ),
    inference(component_clause,[status(thm)],[f710]) ).

fof(f713,plain,
    ( spl0_57
  <=> op(e1,e1) = e1 ),
    introduced(split_symbol_definition) ).

fof(f716,plain,
    ( spl0_58
  <=> op(e1,e1) = e2 ),
    introduced(split_symbol_definition) ).

fof(f717,plain,
    ( op(e1,e1) = e2
    | ~ spl0_58 ),
    inference(component_clause,[status(thm)],[f716]) ).

fof(f719,plain,
    ( spl0_59
  <=> op(e1,e1) = e3 ),
    introduced(split_symbol_definition) ).

fof(f720,plain,
    ( op(e1,e1) = e3
    | ~ spl0_59 ),
    inference(component_clause,[status(thm)],[f719]) ).

fof(f722,plain,
    ( spl0_60
  <=> op(e1,e1) = e4 ),
    introduced(split_symbol_definition) ).

fof(f723,plain,
    ( op(e1,e1) = e4
    | ~ spl0_60 ),
    inference(component_clause,[status(thm)],[f722]) ).

fof(f725,plain,
    ( spl0_61
  <=> op(e1,e1) = e5 ),
    introduced(split_symbol_definition) ).

fof(f726,plain,
    ( op(e1,e1) = e5
    | ~ spl0_61 ),
    inference(component_clause,[status(thm)],[f725]) ).

fof(f728,plain,
    ( spl0_62
  <=> op(e1,e1) = e6 ),
    introduced(split_symbol_definition) ).

fof(f729,plain,
    ( op(e1,e1) = e6
    | ~ spl0_62 ),
    inference(component_clause,[status(thm)],[f728]) ).

fof(f731,plain,
    ( spl0_56
    | spl0_57
    | spl0_58
    | spl0_59
    | spl0_60
    | spl0_61
    | spl0_62 ),
    inference(split_clause,[status(thm)],[f17,f710,f713,f716,f719,f722,f725,f728]) ).

fof(f886,plain,
    ( spl0_112
  <=> op(e2,e2) = e0 ),
    introduced(split_symbol_definition) ).

fof(f887,plain,
    ( op(e2,e2) = e0
    | ~ spl0_112 ),
    inference(component_clause,[status(thm)],[f886]) ).

fof(f889,plain,
    ( spl0_113
  <=> op(e2,e2) = e1 ),
    introduced(split_symbol_definition) ).

fof(f890,plain,
    ( op(e2,e2) = e1
    | ~ spl0_113 ),
    inference(component_clause,[status(thm)],[f889]) ).

fof(f892,plain,
    ( spl0_114
  <=> op(e2,e2) = e2 ),
    introduced(split_symbol_definition) ).

fof(f895,plain,
    ( spl0_115
  <=> op(e2,e2) = e3 ),
    introduced(split_symbol_definition) ).

fof(f896,plain,
    ( op(e2,e2) = e3
    | ~ spl0_115 ),
    inference(component_clause,[status(thm)],[f895]) ).

fof(f898,plain,
    ( spl0_116
  <=> op(e2,e2) = e4 ),
    introduced(split_symbol_definition) ).

fof(f899,plain,
    ( op(e2,e2) = e4
    | ~ spl0_116 ),
    inference(component_clause,[status(thm)],[f898]) ).

fof(f901,plain,
    ( spl0_117
  <=> op(e2,e2) = e5 ),
    introduced(split_symbol_definition) ).

fof(f902,plain,
    ( op(e2,e2) = e5
    | ~ spl0_117 ),
    inference(component_clause,[status(thm)],[f901]) ).

fof(f904,plain,
    ( spl0_118
  <=> op(e2,e2) = e6 ),
    introduced(split_symbol_definition) ).

fof(f905,plain,
    ( op(e2,e2) = e6
    | ~ spl0_118 ),
    inference(component_clause,[status(thm)],[f904]) ).

fof(f907,plain,
    ( spl0_112
    | spl0_113
    | spl0_114
    | spl0_115
    | spl0_116
    | spl0_117
    | spl0_118 ),
    inference(split_clause,[status(thm)],[f25,f886,f889,f892,f895,f898,f901,f904]) ).

fof(f1062,plain,
    ( spl0_168
  <=> op(e3,e3) = e0 ),
    introduced(split_symbol_definition) ).

fof(f1063,plain,
    ( op(e3,e3) = e0
    | ~ spl0_168 ),
    inference(component_clause,[status(thm)],[f1062]) ).

fof(f1065,plain,
    ( spl0_169
  <=> op(e3,e3) = e1 ),
    introduced(split_symbol_definition) ).

fof(f1066,plain,
    ( op(e3,e3) = e1
    | ~ spl0_169 ),
    inference(component_clause,[status(thm)],[f1065]) ).

fof(f1068,plain,
    ( spl0_170
  <=> op(e3,e3) = e2 ),
    introduced(split_symbol_definition) ).

fof(f1069,plain,
    ( op(e3,e3) = e2
    | ~ spl0_170 ),
    inference(component_clause,[status(thm)],[f1068]) ).

fof(f1071,plain,
    ( spl0_171
  <=> op(e3,e3) = e3 ),
    introduced(split_symbol_definition) ).

fof(f1074,plain,
    ( spl0_172
  <=> op(e3,e3) = e4 ),
    introduced(split_symbol_definition) ).

fof(f1075,plain,
    ( op(e3,e3) = e4
    | ~ spl0_172 ),
    inference(component_clause,[status(thm)],[f1074]) ).

fof(f1077,plain,
    ( spl0_173
  <=> op(e3,e3) = e5 ),
    introduced(split_symbol_definition) ).

fof(f1078,plain,
    ( op(e3,e3) = e5
    | ~ spl0_173 ),
    inference(component_clause,[status(thm)],[f1077]) ).

fof(f1080,plain,
    ( spl0_174
  <=> op(e3,e3) = e6 ),
    introduced(split_symbol_definition) ).

fof(f1081,plain,
    ( op(e3,e3) = e6
    | ~ spl0_174 ),
    inference(component_clause,[status(thm)],[f1080]) ).

fof(f1083,plain,
    ( spl0_168
    | spl0_169
    | spl0_170
    | spl0_171
    | spl0_172
    | spl0_173
    | spl0_174 ),
    inference(split_clause,[status(thm)],[f33,f1062,f1065,f1068,f1071,f1074,f1077,f1080]) ).

fof(f1238,plain,
    ( spl0_224
  <=> op(e4,e4) = e0 ),
    introduced(split_symbol_definition) ).

fof(f1239,plain,
    ( op(e4,e4) = e0
    | ~ spl0_224 ),
    inference(component_clause,[status(thm)],[f1238]) ).

fof(f1241,plain,
    ( spl0_225
  <=> op(e4,e4) = e1 ),
    introduced(split_symbol_definition) ).

fof(f1242,plain,
    ( op(e4,e4) = e1
    | ~ spl0_225 ),
    inference(component_clause,[status(thm)],[f1241]) ).

fof(f1244,plain,
    ( spl0_226
  <=> op(e4,e4) = e2 ),
    introduced(split_symbol_definition) ).

fof(f1245,plain,
    ( op(e4,e4) = e2
    | ~ spl0_226 ),
    inference(component_clause,[status(thm)],[f1244]) ).

fof(f1247,plain,
    ( spl0_227
  <=> op(e4,e4) = e3 ),
    introduced(split_symbol_definition) ).

fof(f1248,plain,
    ( op(e4,e4) = e3
    | ~ spl0_227 ),
    inference(component_clause,[status(thm)],[f1247]) ).

fof(f1250,plain,
    ( spl0_228
  <=> op(e4,e4) = e4 ),
    introduced(split_symbol_definition) ).

fof(f1253,plain,
    ( spl0_229
  <=> op(e4,e4) = e5 ),
    introduced(split_symbol_definition) ).

fof(f1254,plain,
    ( op(e4,e4) = e5
    | ~ spl0_229 ),
    inference(component_clause,[status(thm)],[f1253]) ).

fof(f1256,plain,
    ( spl0_230
  <=> op(e4,e4) = e6 ),
    introduced(split_symbol_definition) ).

fof(f1257,plain,
    ( op(e4,e4) = e6
    | ~ spl0_230 ),
    inference(component_clause,[status(thm)],[f1256]) ).

fof(f1259,plain,
    ( spl0_224
    | spl0_225
    | spl0_226
    | spl0_227
    | spl0_228
    | spl0_229
    | spl0_230 ),
    inference(split_clause,[status(thm)],[f41,f1238,f1241,f1244,f1247,f1250,f1253,f1256]) ).

fof(f1414,plain,
    ( spl0_280
  <=> op(e5,e5) = e0 ),
    introduced(split_symbol_definition) ).

fof(f1415,plain,
    ( op(e5,e5) = e0
    | ~ spl0_280 ),
    inference(component_clause,[status(thm)],[f1414]) ).

fof(f1417,plain,
    ( spl0_281
  <=> op(e5,e5) = e1 ),
    introduced(split_symbol_definition) ).

fof(f1418,plain,
    ( op(e5,e5) = e1
    | ~ spl0_281 ),
    inference(component_clause,[status(thm)],[f1417]) ).

fof(f1420,plain,
    ( spl0_282
  <=> op(e5,e5) = e2 ),
    introduced(split_symbol_definition) ).

fof(f1421,plain,
    ( op(e5,e5) = e2
    | ~ spl0_282 ),
    inference(component_clause,[status(thm)],[f1420]) ).

fof(f1423,plain,
    ( spl0_283
  <=> op(e5,e5) = e3 ),
    introduced(split_symbol_definition) ).

fof(f1424,plain,
    ( op(e5,e5) = e3
    | ~ spl0_283 ),
    inference(component_clause,[status(thm)],[f1423]) ).

fof(f1426,plain,
    ( spl0_284
  <=> op(e5,e5) = e4 ),
    introduced(split_symbol_definition) ).

fof(f1427,plain,
    ( op(e5,e5) = e4
    | ~ spl0_284 ),
    inference(component_clause,[status(thm)],[f1426]) ).

fof(f1429,plain,
    ( spl0_285
  <=> op(e5,e5) = e5 ),
    introduced(split_symbol_definition) ).

fof(f1432,plain,
    ( spl0_286
  <=> op(e5,e5) = e6 ),
    introduced(split_symbol_definition) ).

fof(f1433,plain,
    ( op(e5,e5) = e6
    | ~ spl0_286 ),
    inference(component_clause,[status(thm)],[f1432]) ).

fof(f1435,plain,
    ( spl0_280
    | spl0_281
    | spl0_282
    | spl0_283
    | spl0_284
    | spl0_285
    | spl0_286 ),
    inference(split_clause,[status(thm)],[f49,f1414,f1417,f1420,f1423,f1426,f1429,f1432]) ).

fof(f1590,plain,
    ( spl0_336
  <=> op(e6,e6) = e0 ),
    introduced(split_symbol_definition) ).

fof(f1591,plain,
    ( op(e6,e6) = e0
    | ~ spl0_336 ),
    inference(component_clause,[status(thm)],[f1590]) ).

fof(f1593,plain,
    ( spl0_337
  <=> op(e6,e6) = e1 ),
    introduced(split_symbol_definition) ).

fof(f1594,plain,
    ( op(e6,e6) = e1
    | ~ spl0_337 ),
    inference(component_clause,[status(thm)],[f1593]) ).

fof(f1596,plain,
    ( spl0_338
  <=> op(e6,e6) = e2 ),
    introduced(split_symbol_definition) ).

fof(f1597,plain,
    ( op(e6,e6) = e2
    | ~ spl0_338 ),
    inference(component_clause,[status(thm)],[f1596]) ).

fof(f1599,plain,
    ( spl0_339
  <=> op(e6,e6) = e3 ),
    introduced(split_symbol_definition) ).

fof(f1600,plain,
    ( op(e6,e6) = e3
    | ~ spl0_339 ),
    inference(component_clause,[status(thm)],[f1599]) ).

fof(f1602,plain,
    ( spl0_340
  <=> op(e6,e6) = e4 ),
    introduced(split_symbol_definition) ).

fof(f1603,plain,
    ( op(e6,e6) = e4
    | ~ spl0_340 ),
    inference(component_clause,[status(thm)],[f1602]) ).

fof(f1605,plain,
    ( spl0_341
  <=> op(e6,e6) = e5 ),
    introduced(split_symbol_definition) ).

fof(f1606,plain,
    ( op(e6,e6) = e5
    | ~ spl0_341 ),
    inference(component_clause,[status(thm)],[f1605]) ).

fof(f1608,plain,
    ( spl0_342
  <=> op(e6,e6) = e6 ),
    introduced(split_symbol_definition) ).

fof(f1611,plain,
    ( spl0_336
    | spl0_337
    | spl0_338
    | spl0_339
    | spl0_340
    | spl0_341
    | spl0_342 ),
    inference(split_clause,[status(thm)],[f57,f1590,f1593,f1596,f1599,f1602,f1605,f1608]) ).

fof(f1711,plain,
    ( ~ spl0_0
    | ~ spl0_57
    | ~ spl0_114
    | ~ spl0_171
    | ~ spl0_228
    | ~ spl0_285
    | ~ spl0_342 ),
    inference(split_clause,[status(thm)],[f533,f534,f713,f892,f1071,f1250,f1429,f1608]) ).

fof(f1713,plain,
    ( e6 = e5
    | ~ spl0_341 ),
    inference(forward_demodulation,[status(thm)],[f531,f1606]) ).

fof(f1714,plain,
    ( $false
    | ~ spl0_341 ),
    inference(forward_subsumption_resolution,[status(thm)],[f1713,f519]) ).

fof(f1715,plain,
    ~ spl0_341,
    inference(contradiction_clause,[status(thm)],[f1714]) ).

fof(f1752,plain,
    ( e6 = e4
    | ~ spl0_340 ),
    inference(forward_demodulation,[status(thm)],[f531,f1603]) ).

fof(f1753,plain,
    ( $false
    | ~ spl0_340 ),
    inference(forward_subsumption_resolution,[status(thm)],[f1752,f518]) ).

fof(f1754,plain,
    ~ spl0_340,
    inference(contradiction_clause,[status(thm)],[f1753]) ).

fof(f1755,plain,
    ( e6 = e3
    | ~ spl0_339 ),
    inference(forward_demodulation,[status(thm)],[f531,f1600]) ).

fof(f1756,plain,
    ( $false
    | ~ spl0_339 ),
    inference(forward_subsumption_resolution,[status(thm)],[f1755,f516]) ).

fof(f1757,plain,
    ~ spl0_339,
    inference(contradiction_clause,[status(thm)],[f1756]) ).

fof(f1794,plain,
    ( e6 = e2
    | ~ spl0_338 ),
    inference(forward_demodulation,[status(thm)],[f531,f1597]) ).

fof(f1795,plain,
    ( $false
    | ~ spl0_338 ),
    inference(forward_subsumption_resolution,[status(thm)],[f1794,f513]) ).

fof(f1796,plain,
    ~ spl0_338,
    inference(contradiction_clause,[status(thm)],[f1795]) ).

fof(f1797,plain,
    ( e6 = e1
    | ~ spl0_337 ),
    inference(forward_demodulation,[status(thm)],[f531,f1594]) ).

fof(f1798,plain,
    ( $false
    | ~ spl0_337 ),
    inference(forward_subsumption_resolution,[status(thm)],[f1797,f509]) ).

fof(f1799,plain,
    ~ spl0_337,
    inference(contradiction_clause,[status(thm)],[f1798]) ).

fof(f1836,plain,
    ( e6 = e0
    | ~ spl0_336 ),
    inference(forward_demodulation,[status(thm)],[f531,f1591]) ).

fof(f1837,plain,
    ( $false
    | ~ spl0_336 ),
    inference(forward_subsumption_resolution,[status(thm)],[f1836,f504]) ).

fof(f1838,plain,
    ~ spl0_336,
    inference(contradiction_clause,[status(thm)],[f1837]) ).

fof(f1839,plain,
    ( e5 = e6
    | ~ spl0_286 ),
    inference(forward_demodulation,[status(thm)],[f530,f1433]) ).

fof(f1840,plain,
    ( $false
    | ~ spl0_286 ),
    inference(forward_subsumption_resolution,[status(thm)],[f1839,f519]) ).

fof(f1841,plain,
    ~ spl0_286,
    inference(contradiction_clause,[status(thm)],[f1840]) ).

fof(f1872,plain,
    ( e5 = e4
    | ~ spl0_284 ),
    inference(forward_demodulation,[status(thm)],[f530,f1427]) ).

fof(f1873,plain,
    ( $false
    | ~ spl0_284 ),
    inference(forward_subsumption_resolution,[status(thm)],[f1872,f517]) ).

fof(f1874,plain,
    ~ spl0_284,
    inference(contradiction_clause,[status(thm)],[f1873]) ).

fof(f1878,plain,
    ( e5 = e3
    | ~ spl0_283 ),
    inference(forward_demodulation,[status(thm)],[f530,f1424]) ).

fof(f1879,plain,
    ( $false
    | ~ spl0_283 ),
    inference(forward_subsumption_resolution,[status(thm)],[f1878,f515]) ).

fof(f1880,plain,
    ~ spl0_283,
    inference(contradiction_clause,[status(thm)],[f1879]) ).

fof(f1911,plain,
    ( e5 = e2
    | ~ spl0_282 ),
    inference(forward_demodulation,[status(thm)],[f530,f1421]) ).

fof(f1912,plain,
    ( $false
    | ~ spl0_282 ),
    inference(forward_subsumption_resolution,[status(thm)],[f1911,f512]) ).

fof(f1913,plain,
    ~ spl0_282,
    inference(contradiction_clause,[status(thm)],[f1912]) ).

fof(f1917,plain,
    ( e5 = e1
    | ~ spl0_281 ),
    inference(forward_demodulation,[status(thm)],[f530,f1418]) ).

fof(f1918,plain,
    ( $false
    | ~ spl0_281 ),
    inference(forward_subsumption_resolution,[status(thm)],[f1917,f508]) ).

fof(f1919,plain,
    ~ spl0_281,
    inference(contradiction_clause,[status(thm)],[f1918]) ).

fof(f1950,plain,
    ( e5 = e0
    | ~ spl0_280 ),
    inference(forward_demodulation,[status(thm)],[f530,f1415]) ).

fof(f1951,plain,
    ( $false
    | ~ spl0_280 ),
    inference(forward_subsumption_resolution,[status(thm)],[f1950,f503]) ).

fof(f1952,plain,
    ~ spl0_280,
    inference(contradiction_clause,[status(thm)],[f1951]) ).

fof(f1956,plain,
    ( e4 = e6
    | ~ spl0_230 ),
    inference(forward_demodulation,[status(thm)],[f529,f1257]) ).

fof(f1957,plain,
    ( $false
    | ~ spl0_230 ),
    inference(forward_subsumption_resolution,[status(thm)],[f1956,f518]) ).

fof(f1958,plain,
    ~ spl0_230,
    inference(contradiction_clause,[status(thm)],[f1957]) ).

fof(f1959,plain,
    ( e4 = e5
    | ~ spl0_229 ),
    inference(forward_demodulation,[status(thm)],[f529,f1254]) ).

fof(f1960,plain,
    ( $false
    | ~ spl0_229 ),
    inference(forward_subsumption_resolution,[status(thm)],[f1959,f517]) ).

fof(f1961,plain,
    ~ spl0_229,
    inference(contradiction_clause,[status(thm)],[f1960]) ).

fof(f1986,plain,
    ( e4 = e3
    | ~ spl0_227 ),
    inference(forward_demodulation,[status(thm)],[f529,f1248]) ).

fof(f1987,plain,
    ( $false
    | ~ spl0_227 ),
    inference(forward_subsumption_resolution,[status(thm)],[f1986,f514]) ).

fof(f1988,plain,
    ~ spl0_227,
    inference(contradiction_clause,[status(thm)],[f1987]) ).

fof(f2013,plain,
    ( e4 = e2
    | ~ spl0_226 ),
    inference(forward_demodulation,[status(thm)],[f529,f1245]) ).

fof(f2014,plain,
    ( $false
    | ~ spl0_226 ),
    inference(forward_subsumption_resolution,[status(thm)],[f2013,f511]) ).

fof(f2015,plain,
    ~ spl0_226,
    inference(contradiction_clause,[status(thm)],[f2014]) ).

fof(f2016,plain,
    ( e4 = e1
    | ~ spl0_225 ),
    inference(forward_demodulation,[status(thm)],[f529,f1242]) ).

fof(f2017,plain,
    ( $false
    | ~ spl0_225 ),
    inference(forward_subsumption_resolution,[status(thm)],[f2016,f507]) ).

fof(f2018,plain,
    ~ spl0_225,
    inference(contradiction_clause,[status(thm)],[f2017]) ).

fof(f2043,plain,
    ( e4 = e0
    | ~ spl0_224 ),
    inference(forward_demodulation,[status(thm)],[f529,f1239]) ).

fof(f2044,plain,
    ( $false
    | ~ spl0_224 ),
    inference(forward_subsumption_resolution,[status(thm)],[f2043,f502]) ).

fof(f2045,plain,
    ~ spl0_224,
    inference(contradiction_clause,[status(thm)],[f2044]) ).

fof(f2046,plain,
    ( e3 = e6
    | ~ spl0_174 ),
    inference(forward_demodulation,[status(thm)],[f528,f1081]) ).

fof(f2047,plain,
    ( $false
    | ~ spl0_174 ),
    inference(forward_subsumption_resolution,[status(thm)],[f2046,f516]) ).

fof(f2048,plain,
    ~ spl0_174,
    inference(contradiction_clause,[status(thm)],[f2047]) ).

fof(f2052,plain,
    ( e3 = e5
    | ~ spl0_173 ),
    inference(forward_demodulation,[status(thm)],[f528,f1078]) ).

fof(f2053,plain,
    ( $false
    | ~ spl0_173 ),
    inference(forward_subsumption_resolution,[status(thm)],[f2052,f515]) ).

fof(f2054,plain,
    ~ spl0_173,
    inference(contradiction_clause,[status(thm)],[f2053]) ).

fof(f2070,plain,
    ( e3 = e4
    | ~ spl0_172 ),
    inference(forward_demodulation,[status(thm)],[f528,f1075]) ).

fof(f2071,plain,
    ( $false
    | ~ spl0_172 ),
    inference(forward_subsumption_resolution,[status(thm)],[f2070,f514]) ).

fof(f2072,plain,
    ~ spl0_172,
    inference(contradiction_clause,[status(thm)],[f2071]) ).

fof(f2094,plain,
    ( e3 = e2
    | ~ spl0_170 ),
    inference(forward_demodulation,[status(thm)],[f528,f1069]) ).

fof(f2095,plain,
    ( $false
    | ~ spl0_170 ),
    inference(forward_subsumption_resolution,[status(thm)],[f2094,f510]) ).

fof(f2096,plain,
    ~ spl0_170,
    inference(contradiction_clause,[status(thm)],[f2095]) ).

fof(f2100,plain,
    ( e3 = e1
    | ~ spl0_169 ),
    inference(forward_demodulation,[status(thm)],[f528,f1066]) ).

fof(f2101,plain,
    ( $false
    | ~ spl0_169 ),
    inference(forward_subsumption_resolution,[status(thm)],[f2100,f506]) ).

fof(f2102,plain,
    ~ spl0_169,
    inference(contradiction_clause,[status(thm)],[f2101]) ).

fof(f2121,plain,
    ( e3 = e0
    | ~ spl0_168 ),
    inference(forward_demodulation,[status(thm)],[f528,f1063]) ).

fof(f2122,plain,
    ( $false
    | ~ spl0_168 ),
    inference(forward_subsumption_resolution,[status(thm)],[f2121,f501]) ).

fof(f2123,plain,
    ~ spl0_168,
    inference(contradiction_clause,[status(thm)],[f2122]) ).

fof(f2127,plain,
    ( e2 = e6
    | ~ spl0_118 ),
    inference(forward_demodulation,[status(thm)],[f527,f905]) ).

fof(f2128,plain,
    ( $false
    | ~ spl0_118 ),
    inference(forward_subsumption_resolution,[status(thm)],[f2127,f513]) ).

fof(f2129,plain,
    ~ spl0_118,
    inference(contradiction_clause,[status(thm)],[f2128]) ).

fof(f2130,plain,
    ( e2 = e5
    | ~ spl0_117 ),
    inference(forward_demodulation,[status(thm)],[f527,f902]) ).

fof(f2131,plain,
    ( $false
    | ~ spl0_117 ),
    inference(forward_subsumption_resolution,[status(thm)],[f2130,f512]) ).

fof(f2132,plain,
    ~ spl0_117,
    inference(contradiction_clause,[status(thm)],[f2131]) ).

fof(f2145,plain,
    ( e2 = e4
    | ~ spl0_116 ),
    inference(forward_demodulation,[status(thm)],[f527,f899]) ).

fof(f2146,plain,
    ( $false
    | ~ spl0_116 ),
    inference(forward_subsumption_resolution,[status(thm)],[f2145,f511]) ).

fof(f2147,plain,
    ~ spl0_116,
    inference(contradiction_clause,[status(thm)],[f2146]) ).

fof(f2148,plain,
    ( e2 = e3
    | ~ spl0_115 ),
    inference(forward_demodulation,[status(thm)],[f527,f896]) ).

fof(f2149,plain,
    ( $false
    | ~ spl0_115 ),
    inference(forward_subsumption_resolution,[status(thm)],[f2148,f510]) ).

fof(f2150,plain,
    ~ spl0_115,
    inference(contradiction_clause,[status(thm)],[f2149]) ).

fof(f2163,plain,
    ( e2 = e1
    | ~ spl0_113 ),
    inference(forward_demodulation,[status(thm)],[f527,f890]) ).

fof(f2164,plain,
    ( $false
    | ~ spl0_113 ),
    inference(forward_subsumption_resolution,[status(thm)],[f2163,f505]) ).

fof(f2165,plain,
    ~ spl0_113,
    inference(contradiction_clause,[status(thm)],[f2164]) ).

fof(f2178,plain,
    ( e2 = e0
    | ~ spl0_112 ),
    inference(forward_demodulation,[status(thm)],[f527,f887]) ).

fof(f2179,plain,
    ( $false
    | ~ spl0_112 ),
    inference(forward_subsumption_resolution,[status(thm)],[f2178,f500]) ).

fof(f2180,plain,
    ~ spl0_112,
    inference(contradiction_clause,[status(thm)],[f2179]) ).

fof(f2181,plain,
    ( e1 = e6
    | ~ spl0_62 ),
    inference(forward_demodulation,[status(thm)],[f526,f729]) ).

fof(f2182,plain,
    ( $false
    | ~ spl0_62 ),
    inference(forward_subsumption_resolution,[status(thm)],[f2181,f509]) ).

fof(f2183,plain,
    ~ spl0_62,
    inference(contradiction_clause,[status(thm)],[f2182]) ).

fof(f2184,plain,
    ( e1 = e5
    | ~ spl0_61 ),
    inference(forward_demodulation,[status(thm)],[f526,f726]) ).

fof(f2185,plain,
    ( $false
    | ~ spl0_61 ),
    inference(forward_subsumption_resolution,[status(thm)],[f2184,f508]) ).

fof(f2186,plain,
    ~ spl0_61,
    inference(contradiction_clause,[status(thm)],[f2185]) ).

fof(f2193,plain,
    ( e1 = e4
    | ~ spl0_60 ),
    inference(forward_demodulation,[status(thm)],[f526,f723]) ).

fof(f2194,plain,
    ( $false
    | ~ spl0_60 ),
    inference(forward_subsumption_resolution,[status(thm)],[f2193,f507]) ).

fof(f2195,plain,
    ~ spl0_60,
    inference(contradiction_clause,[status(thm)],[f2194]) ).

fof(f2196,plain,
    ( e1 = e3
    | ~ spl0_59 ),
    inference(forward_demodulation,[status(thm)],[f526,f720]) ).

fof(f2197,plain,
    ( $false
    | ~ spl0_59 ),
    inference(forward_subsumption_resolution,[status(thm)],[f2196,f506]) ).

fof(f2198,plain,
    ~ spl0_59,
    inference(contradiction_clause,[status(thm)],[f2197]) ).

fof(f2205,plain,
    ( e1 = e2
    | ~ spl0_58 ),
    inference(forward_demodulation,[status(thm)],[f526,f717]) ).

fof(f2206,plain,
    ( $false
    | ~ spl0_58 ),
    inference(forward_subsumption_resolution,[status(thm)],[f2205,f505]) ).

fof(f2207,plain,
    ~ spl0_58,
    inference(contradiction_clause,[status(thm)],[f2206]) ).

fof(f2214,plain,
    ( e1 = e0
    | ~ spl0_56 ),
    inference(forward_demodulation,[status(thm)],[f526,f711]) ).

fof(f2215,plain,
    ( $false
    | ~ spl0_56 ),
    inference(forward_subsumption_resolution,[status(thm)],[f2214,f499]) ).

fof(f2216,plain,
    ~ spl0_56,
    inference(contradiction_clause,[status(thm)],[f2215]) ).

fof(f2217,plain,
    ( e0 = e6
    | ~ spl0_6 ),
    inference(forward_demodulation,[status(thm)],[f525,f553]) ).

fof(f2218,plain,
    ( $false
    | ~ spl0_6 ),
    inference(forward_subsumption_resolution,[status(thm)],[f2217,f504]) ).

fof(f2219,plain,
    ~ spl0_6,
    inference(contradiction_clause,[status(thm)],[f2218]) ).

fof(f2220,plain,
    ( e0 = e5
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f525,f550]) ).

fof(f2221,plain,
    ( $false
    | ~ spl0_5 ),
    inference(forward_subsumption_resolution,[status(thm)],[f2220,f503]) ).

fof(f2222,plain,
    ~ spl0_5,
    inference(contradiction_clause,[status(thm)],[f2221]) ).

fof(f2223,plain,
    ( e0 = e4
    | ~ spl0_4 ),
    inference(forward_demodulation,[status(thm)],[f525,f547]) ).

fof(f2224,plain,
    ( $false
    | ~ spl0_4 ),
    inference(forward_subsumption_resolution,[status(thm)],[f2223,f502]) ).

fof(f2225,plain,
    ~ spl0_4,
    inference(contradiction_clause,[status(thm)],[f2224]) ).

fof(f2226,plain,
    ( e0 = e3
    | ~ spl0_3 ),
    inference(forward_demodulation,[status(thm)],[f525,f544]) ).

fof(f2227,plain,
    ( $false
    | ~ spl0_3 ),
    inference(forward_subsumption_resolution,[status(thm)],[f2226,f501]) ).

fof(f2228,plain,
    ~ spl0_3,
    inference(contradiction_clause,[status(thm)],[f2227]) ).

fof(f2229,plain,
    ( e0 = e2
    | ~ spl0_2 ),
    inference(forward_demodulation,[status(thm)],[f525,f541]) ).

fof(f2230,plain,
    ( $false
    | ~ spl0_2 ),
    inference(forward_subsumption_resolution,[status(thm)],[f2229,f500]) ).

fof(f2231,plain,
    ~ spl0_2,
    inference(contradiction_clause,[status(thm)],[f2230]) ).

fof(f2232,plain,
    ( e0 = e1
    | ~ spl0_1 ),
    inference(forward_demodulation,[status(thm)],[f525,f538]) ).

fof(f2233,plain,
    ( $false
    | ~ spl0_1 ),
    inference(forward_subsumption_resolution,[status(thm)],[f2232,f499]) ).

fof(f2234,plain,
    ~ spl0_1,
    inference(contradiction_clause,[status(thm)],[f2233]) ).

fof(f2235,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f555,f731,f907,f1083,f1259,f1435,f1611,f1711,f1715,f1754,f1757,f1796,f1799,f1838,f1841,f1874,f1880,f1913,f1919,f1952,f1958,f1961,f1988,f2015,f2018,f2045,f2048,f2054,f2072,f2096,f2102,f2123,f2129,f2132,f2147,f2150,f2165,f2180,f2183,f2186,f2195,f2198,f2207,f2216,f2219,f2222,f2225,f2228,f2231,f2234]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : ALG200+1 : TPTP v8.1.2. Released v2.7.0.
% 0.11/0.12  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.32  % Computer : n024.cluster.edu
% 0.13/0.32  % Model    : x86_64 x86_64
% 0.13/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.32  % Memory   : 8042.1875MB
% 0.13/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.32  % CPULimit : 300
% 0.13/0.32  % WCLimit  : 300
% 0.13/0.32  % DateTime : Mon Apr 29 23:28:21 EDT 2024
% 0.13/0.32  % CPUTime  : 
% 0.13/0.35  % Drodi V3.6.0
% 0.18/0.45  % Refutation found
% 0.18/0.45  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.18/0.45  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.18/0.46  % Elapsed time: 0.133752 seconds
% 0.18/0.46  % CPU time: 0.878106 seconds
% 0.18/0.46  % Total memory used: 38.070 MB
% 0.18/0.46  % Net memory used: 37.721 MB
%------------------------------------------------------------------------------