%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : ALG139+1 : TPTP v8.1.2. Released v2.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n003.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 20:10:14 EDT 2024

% Result   : Unsatisfiable 1.61s 0.59s
% Output   : CNFRefutation 1.61s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :  137
% Syntax   : Number of formulae    : 1004 (  51 unt;   0 def)
%            Number of atoms       : 2867 (1252 equ)
%            Maximal formula atoms :  128 (   2 avg)
%            Number of connectives : 3423 (1560   ~;1530   |; 222   &)
%                                         (  99 <=>;  12  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   49 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :  113 ( 111 usr; 112 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   4 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,e1) = e0
      | op(e0,e1) = e1
      | op(e0,e1) = e2
      | op(e0,e1) = e3 )
    & ( op(e0,e2) = e0
      | op(e0,e2) = e1
      | op(e0,e2) = e2
      | op(e0,e2) = e3 )
    & ( op(e0,e3) = e0
      | op(e0,e3) = e1
      | op(e0,e3) = e2
      | op(e0,e3) = e3 )
    & ( op(e1,e0) = e0
      | op(e1,e0) = e1
      | op(e1,e0) = e2
      | op(e1,e0) = e3 )
    & ( op(e1,e1) = e0
      | op(e1,e1) = e1
      | op(e1,e1) = e2
      | op(e1,e1) = e3 )
    & ( op(e1,e2) = e0
      | op(e1,e2) = e1
      | op(e1,e2) = e2
      | op(e1,e2) = e3 )
    & ( op(e1,e3) = e0
      | op(e1,e3) = e1
      | op(e1,e3) = e2
      | op(e1,e3) = e3 )
    & ( op(e2,e0) = e0
      | op(e2,e0) = e1
      | op(e2,e0) = e2
      | op(e2,e0) = e3 )
    & ( op(e2,e1) = e0
      | op(e2,e1) = e1
      | op(e2,e1) = e2
      | op(e2,e1) = e3 )
    & ( op(e2,e2) = e0
      | op(e2,e2) = e1
      | op(e2,e2) = e2
      | op(e2,e2) = e3 )
    & ( op(e2,e3) = e0
      | op(e2,e3) = e1
      | op(e2,e3) = e2
      | op(e2,e3) = e3 )
    & ( op(e3,e0) = e0
      | op(e3,e0) = e1
      | op(e3,e0) = e2
      | op(e3,e0) = e3 )
    & ( op(e3,e1) = e0
      | op(e3,e1) = e1
      | op(e3,e1) = e2
      | op(e3,e1) = e3 )
    & ( op(e3,e2) = e0
      | op(e3,e2) = e1
      | op(e3,e2) = e2
      | op(e3,e2) = e3 )
    & ( op(e3,e3) = e0
      | op(e3,e3) = e1
      | op(e3,e3) = e2
      | op(e3,e3) = e3 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f2,axiom,
    ( ( op(e0,e0) = e0
      | op(e0,e1) = e0
      | op(e0,e2) = e0
      | op(e0,e3) = e0 )
    & ( op(e0,e0) = e0
      | op(e1,e0) = e0
      | op(e2,e0) = e0
      | op(e3,e0) = e0 )
    & ( op(e0,e0) = e1
      | op(e0,e1) = e1
      | op(e0,e2) = e1
      | op(e0,e3) = e1 )
    & ( op(e0,e0) = e1
      | op(e1,e0) = e1
      | op(e2,e0) = e1
      | op(e3,e0) = e1 )
    & ( op(e0,e0) = e2
      | op(e0,e1) = e2
      | op(e0,e2) = e2
      | op(e0,e3) = e2 )
    & ( op(e0,e0) = e2
      | op(e1,e0) = e2
      | op(e2,e0) = e2
      | op(e3,e0) = e2 )
    & ( op(e0,e0) = e3
      | op(e0,e1) = e3
      | op(e0,e2) = e3
      | op(e0,e3) = e3 )
    & ( op(e0,e0) = e3
      | op(e1,e0) = e3
      | op(e2,e0) = e3
      | op(e3,e0) = e3 )
    & ( op(e1,e0) = e0
      | op(e1,e1) = e0
      | op(e1,e2) = e0
      | op(e1,e3) = e0 )
    & ( op(e0,e1) = e0
      | op(e1,e1) = e0
      | op(e2,e1) = e0
      | op(e3,e1) = e0 )
    & ( op(e1,e0) = e1
      | op(e1,e1) = e1
      | op(e1,e2) = e1
      | op(e1,e3) = e1 )
    & ( op(e0,e1) = e1
      | op(e1,e1) = e1
      | op(e2,e1) = e1
      | op(e3,e1) = e1 )
    & ( op(e1,e0) = e2
      | op(e1,e1) = e2
      | op(e1,e2) = e2
      | op(e1,e3) = e2 )
    & ( op(e0,e1) = e2
      | op(e1,e1) = e2
      | op(e2,e1) = e2
      | op(e3,e1) = e2 )
    & ( op(e1,e0) = e3
      | op(e1,e1) = e3
      | op(e1,e2) = e3
      | op(e1,e3) = e3 )
    & ( op(e0,e1) = e3
      | op(e1,e1) = e3
      | op(e2,e1) = e3
      | op(e3,e1) = e3 )
    & ( op(e2,e0) = e0
      | op(e2,e1) = e0
      | op(e2,e2) = e0
      | op(e2,e3) = e0 )
    & ( op(e0,e2) = e0
      | op(e1,e2) = e0
      | op(e2,e2) = e0
      | op(e3,e2) = e0 )
    & ( op(e2,e0) = e1
      | op(e2,e1) = e1
      | op(e2,e2) = e1
      | op(e2,e3) = e1 )
    & ( op(e0,e2) = e1
      | op(e1,e2) = e1
      | op(e2,e2) = e1
      | op(e3,e2) = e1 )
    & ( op(e2,e0) = e2
      | op(e2,e1) = e2
      | op(e2,e2) = e2
      | op(e2,e3) = e2 )
    & ( op(e0,e2) = e2
      | op(e1,e2) = e2
      | op(e2,e2) = e2
      | op(e3,e2) = e2 )
    & ( op(e2,e0) = e3
      | op(e2,e1) = e3
      | op(e2,e2) = e3
      | op(e2,e3) = e3 )
    & ( op(e0,e2) = e3
      | op(e1,e2) = e3
      | op(e2,e2) = e3
      | op(e3,e2) = e3 )
    & ( op(e3,e0) = e0
      | op(e3,e1) = e0
      | op(e3,e2) = e0
      | op(e3,e3) = e0 )
    & ( op(e0,e3) = e0
      | op(e1,e3) = e0
      | op(e2,e3) = e0
      | op(e3,e3) = e0 )
    & ( op(e3,e0) = e1
      | op(e3,e1) = e1
      | op(e3,e2) = e1
      | op(e3,e3) = e1 )
    & ( op(e0,e3) = e1
      | op(e1,e3) = e1
      | op(e2,e3) = e1
      | op(e3,e3) = e1 )
    & ( op(e3,e0) = e2
      | op(e3,e1) = e2
      | op(e3,e2) = e2
      | op(e3,e3) = e2 )
    & ( op(e0,e3) = e2
      | op(e1,e3) = e2
      | op(e2,e3) = e2
      | op(e3,e3) = e2 )
    & ( op(e3,e0) = e3
      | op(e3,e1) = e3
      | op(e3,e2) = e3
      | op(e3,e3) = e3 )
    & ( op(e0,e3) = e3
      | op(e1,e3) = e3
      | op(e2,e3) = e3
      | op(e3,e3) = e3 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f3,axiom,
    ( op(e0,e0) != op(e1,e0)
    & op(e0,e0) != op(e2,e0)
    & op(e0,e0) != op(e3,e0)
    & op(e1,e0) != op(e2,e0)
    & op(e1,e0) != op(e3,e0)
    & op(e2,e0) != op(e3,e0)
    & op(e0,e1) != op(e1,e1)
    & op(e0,e1) != op(e2,e1)
    & op(e0,e1) != op(e3,e1)
    & op(e1,e1) != op(e2,e1)
    & op(e1,e1) != op(e3,e1)
    & op(e2,e1) != op(e3,e1)
    & op(e0,e2) != op(e1,e2)
    & op(e0,e2) != op(e2,e2)
    & op(e0,e2) != op(e3,e2)
    & op(e1,e2) != op(e2,e2)
    & op(e1,e2) != op(e3,e2)
    & op(e2,e2) != op(e3,e2)
    & op(e0,e3) != op(e1,e3)
    & op(e0,e3) != op(e2,e3)
    & op(e0,e3) != op(e3,e3)
    & op(e1,e3) != op(e2,e3)
    & op(e1,e3) != op(e3,e3)
    & op(e2,e3) != op(e3,e3)
    & op(e0,e0) != op(e0,e1)
    & op(e0,e0) != op(e0,e2)
    & op(e0,e0) != op(e0,e3)
    & op(e0,e1) != op(e0,e2)
    & op(e0,e1) != op(e0,e3)
    & op(e0,e2) != op(e0,e3)
    & op(e1,e0) != op(e1,e1)
    & op(e1,e0) != op(e1,e2)
    & op(e1,e0) != op(e1,e3)
    & op(e1,e1) != op(e1,e2)
    & op(e1,e1) != op(e1,e3)
    & op(e1,e2) != op(e1,e3)
    & op(e2,e0) != op(e2,e1)
    & op(e2,e0) != op(e2,e2)
    & op(e2,e0) != op(e2,e3)
    & op(e2,e1) != op(e2,e2)
    & op(e2,e1) != op(e2,e3)
    & op(e2,e2) != op(e2,e3)
    & op(e3,e0) != op(e3,e1)
    & op(e3,e0) != op(e3,e2)
    & op(e3,e0) != op(e3,e3)
    & op(e3,e1) != op(e3,e2)
    & op(e3,e1) != op(e3,e3)
    & op(e3,e2) != op(e3,e3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f4,axiom,
    ( e0 != e1
    & e0 != e2
    & e0 != e3
    & e1 != e2
    & e1 != e3
    & e2 != e3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f5,axiom,
    ( ( ( op(e0,e0) = e0
        & op(e0,e0) != e0 )
      | ( op(e1,e1) = e0
        & op(e0,e0) != e1 )
      | ( op(e2,e2) = e0
        & op(e0,e0) != e2 )
      | ( op(e3,e3) = e0
        & op(e0,e0) != e3 ) )
    & ( ( op(e0,e0) = e1
        & op(e1,e1) != e0 )
      | ( op(e1,e1) = e1
        & op(e1,e1) != e1 )
      | ( op(e2,e2) = e1
        & op(e1,e1) != e2 )
      | ( op(e3,e3) = e1
        & op(e1,e1) != e3 ) )
    & ( ( op(e0,e0) = e2
        & op(e2,e2) != e0 )
      | ( op(e1,e1) = e2
        & op(e2,e2) != e1 )
      | ( op(e2,e2) = e2
        & op(e2,e2) != e2 )
      | ( op(e3,e3) = e2
        & op(e2,e2) != e3 ) )
    & ( ( op(e0,e0) = e3
        & op(e3,e3) != e0 )
      | ( op(e1,e1) = e3
        & op(e3,e3) != e1 )
      | ( op(e2,e2) = e3
        & op(e3,e3) != e2 )
      | ( op(e3,e3) = e3
        & op(e3,e3) != e3 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f6,axiom,
    ~ ( e0 = op(op(e2,e2),e2)
      & e1 = op(op(e2,e2),op(e2,e2))
      & e3 = op(e2,e2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f7,axiom,
    ~ ( e0 = op(op(e3,e3),e3)
      & e1 = op(op(e3,e3),op(e3,e3))
      & e2 = op(e3,e3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f8,axiom,
    ~ ( e0 = op(op(e1,e1),e1)
      & e2 = op(op(e1,e1),op(e1,e1))
      & e3 = op(e1,e1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f9,axiom,
    ~ ( e0 = op(op(e3,e3),e3)
      & e2 = op(op(e3,e3),op(e3,e3))
      & e1 = op(e3,e3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f10,axiom,
    ~ ( e0 = op(op(e1,e1),e1)
      & e3 = op(op(e1,e1),op(e1,e1))
      & e2 = op(e1,e1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f11,axiom,
    ~ ( e0 = op(op(e2,e2),e2)
      & e3 = op(op(e2,e2),op(e2,e2))
      & e1 = op(e2,e2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f12,axiom,
    ~ ( e1 = op(op(e2,e2),e2)
      & e0 = op(op(e2,e2),op(e2,e2))
      & e3 = op(e2,e2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f13,axiom,
    ~ ( e1 = op(op(e3,e3),e3)
      & e0 = op(op(e3,e3),op(e3,e3))
      & e2 = op(e3,e3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f14,axiom,
    ~ ( e1 = op(op(e0,e0),e0)
      & e2 = op(op(e0,e0),op(e0,e0))
      & e3 = op(e0,e0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f15,axiom,
    ~ ( e1 = op(op(e3,e3),e3)
      & e2 = op(op(e3,e3),op(e3,e3))
      & e0 = op(e3,e3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f16,axiom,
    ~ ( e1 = op(op(e0,e0),e0)
      & e3 = op(op(e0,e0),op(e0,e0))
      & e2 = op(e0,e0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f17,axiom,
    ~ ( e1 = op(op(e2,e2),e2)
      & e3 = op(op(e2,e2),op(e2,e2))
      & e0 = op(e2,e2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f18,axiom,
    ~ ( e2 = op(op(e1,e1),e1)
      & e0 = op(op(e1,e1),op(e1,e1))
      & e3 = op(e1,e1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f19,axiom,
    ~ ( e2 = op(op(e3,e3),e3)
      & e0 = op(op(e3,e3),op(e3,e3))
      & e1 = op(e3,e3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f20,axiom,
    ~ ( e2 = op(op(e0,e0),e0)
      & e1 = op(op(e0,e0),op(e0,e0))
      & e3 = op(e0,e0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f21,axiom,
    ~ ( e2 = op(op(e3,e3),e3)
      & e1 = op(op(e3,e3),op(e3,e3))
      & e0 = op(e3,e3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f23,axiom,
    ~ ( e2 = op(op(e1,e1),e1)
      & e3 = op(op(e1,e1),op(e1,e1))
      & e0 = op(e1,e1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f24,axiom,
    ~ ( e3 = op(op(e1,e1),e1)
      & e0 = op(op(e1,e1),op(e1,e1))
      & e2 = op(e1,e1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f26,axiom,
    ~ ( e3 = op(op(e0,e0),e0)
      & e1 = op(op(e0,e0),op(e0,e0))
      & e2 = op(e0,e0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f28,axiom,
    ~ ( e3 = op(op(e0,e0),e0)
      & e2 = op(op(e0,e0),op(e0,e0))
      & e1 = op(e0,e0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f29,axiom,
    ~ ( e3 = op(op(e1,e1),e1)
      & e2 = op(op(e1,e1),op(e1,e1))
      & e0 = op(e1,e1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f30,plain,
    ( op(e0,e0) = e0
    | op(e0,e0) = e1
    | op(e0,e0) = e2
    | op(e0,e0) = e3 ),
    inference(cnf_transformation,[status(esa)],[f1]) ).

fof(f31,plain,
    ( op(e0,e1) = e0
    | op(e0,e1) = e1
    | op(e0,e1) = e2
    | op(e0,e1) = e3 ),
    inference(cnf_transformation,[status(esa)],[f1]) ).

fof(f32,plain,
    ( op(e0,e2) = e0
    | op(e0,e2) = e1
    | op(e0,e2) = e2
    | op(e0,e2) = e3 ),
    inference(cnf_transformation,[status(esa)],[f1]) ).

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

fof(f34,plain,
    ( op(e1,e0) = e0
    | op(e1,e0) = e1
    | op(e1,e0) = e2
    | op(e1,e0) = e3 ),
    inference(cnf_transformation,[status(esa)],[f1]) ).

fof(f35,plain,
    ( op(e1,e1) = e0
    | op(e1,e1) = e1
    | op(e1,e1) = e2
    | op(e1,e1) = e3 ),
    inference(cnf_transformation,[status(esa)],[f1]) ).

fof(f36,plain,
    ( op(e1,e2) = e0
    | op(e1,e2) = e1
    | op(e1,e2) = e2
    | op(e1,e2) = e3 ),
    inference(cnf_transformation,[status(esa)],[f1]) ).

fof(f37,plain,
    ( op(e1,e3) = e0
    | op(e1,e3) = e1
    | op(e1,e3) = e2
    | op(e1,e3) = e3 ),
    inference(cnf_transformation,[status(esa)],[f1]) ).

fof(f38,plain,
    ( op(e2,e0) = e0
    | op(e2,e0) = e1
    | op(e2,e0) = e2
    | op(e2,e0) = e3 ),
    inference(cnf_transformation,[status(esa)],[f1]) ).

fof(f39,plain,
    ( op(e2,e1) = e0
    | op(e2,e1) = e1
    | op(e2,e1) = e2
    | op(e2,e1) = e3 ),
    inference(cnf_transformation,[status(esa)],[f1]) ).

fof(f40,plain,
    ( op(e2,e2) = e0
    | op(e2,e2) = e1
    | op(e2,e2) = e2
    | op(e2,e2) = e3 ),
    inference(cnf_transformation,[status(esa)],[f1]) ).

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

fof(f42,plain,
    ( op(e3,e0) = e0
    | op(e3,e0) = e1
    | op(e3,e0) = e2
    | op(e3,e0) = e3 ),
    inference(cnf_transformation,[status(esa)],[f1]) ).

fof(f43,plain,
    ( op(e3,e1) = e0
    | op(e3,e1) = e1
    | op(e3,e1) = e2
    | op(e3,e1) = e3 ),
    inference(cnf_transformation,[status(esa)],[f1]) ).

fof(f44,plain,
    ( op(e3,e2) = e0
    | op(e3,e2) = e1
    | op(e3,e2) = e2
    | op(e3,e2) = e3 ),
    inference(cnf_transformation,[status(esa)],[f1]) ).

fof(f45,plain,
    ( op(e3,e3) = e0
    | op(e3,e3) = e1
    | op(e3,e3) = e2
    | op(e3,e3) = e3 ),
    inference(cnf_transformation,[status(esa)],[f1]) ).

fof(f46,plain,
    ( op(e0,e0) = e0
    | op(e0,e1) = e0
    | op(e0,e2) = e0
    | op(e0,e3) = e0 ),
    inference(cnf_transformation,[status(esa)],[f2]) ).

fof(f48,plain,
    ( op(e0,e0) = e1
    | op(e0,e1) = e1
    | op(e0,e2) = e1
    | op(e0,e3) = e1 ),
    inference(cnf_transformation,[status(esa)],[f2]) ).

fof(f49,plain,
    ( op(e0,e0) = e1
    | op(e1,e0) = e1
    | op(e2,e0) = e1
    | op(e3,e0) = e1 ),
    inference(cnf_transformation,[status(esa)],[f2]) ).

fof(f50,plain,
    ( op(e0,e0) = e2
    | op(e0,e1) = e2
    | op(e0,e2) = e2
    | op(e0,e3) = e2 ),
    inference(cnf_transformation,[status(esa)],[f2]) ).

fof(f51,plain,
    ( op(e0,e0) = e2
    | op(e1,e0) = e2
    | op(e2,e0) = e2
    | op(e3,e0) = e2 ),
    inference(cnf_transformation,[status(esa)],[f2]) ).

fof(f53,plain,
    ( op(e0,e0) = e3
    | op(e1,e0) = e3
    | op(e2,e0) = e3
    | op(e3,e0) = e3 ),
    inference(cnf_transformation,[status(esa)],[f2]) ).

fof(f54,plain,
    ( op(e1,e0) = e0
    | op(e1,e1) = e0
    | op(e1,e2) = e0
    | op(e1,e3) = e0 ),
    inference(cnf_transformation,[status(esa)],[f2]) ).

fof(f55,plain,
    ( op(e0,e1) = e0
    | op(e1,e1) = e0
    | op(e2,e1) = e0
    | op(e3,e1) = e0 ),
    inference(cnf_transformation,[status(esa)],[f2]) ).

fof(f56,plain,
    ( op(e1,e0) = e1
    | op(e1,e1) = e1
    | op(e1,e2) = e1
    | op(e1,e3) = e1 ),
    inference(cnf_transformation,[status(esa)],[f2]) ).

fof(f57,plain,
    ( op(e0,e1) = e1
    | op(e1,e1) = e1
    | op(e2,e1) = e1
    | op(e3,e1) = e1 ),
    inference(cnf_transformation,[status(esa)],[f2]) ).

fof(f58,plain,
    ( op(e1,e0) = e2
    | op(e1,e1) = e2
    | op(e1,e2) = e2
    | op(e1,e3) = e2 ),
    inference(cnf_transformation,[status(esa)],[f2]) ).

fof(f59,plain,
    ( op(e0,e1) = e2
    | op(e1,e1) = e2
    | op(e2,e1) = e2
    | op(e3,e1) = e2 ),
    inference(cnf_transformation,[status(esa)],[f2]) ).

fof(f60,plain,
    ( op(e1,e0) = e3
    | op(e1,e1) = e3
    | op(e1,e2) = e3
    | op(e1,e3) = e3 ),
    inference(cnf_transformation,[status(esa)],[f2]) ).

fof(f61,plain,
    ( op(e0,e1) = e3
    | op(e1,e1) = e3
    | op(e2,e1) = e3
    | op(e3,e1) = e3 ),
    inference(cnf_transformation,[status(esa)],[f2]) ).

fof(f62,plain,
    ( op(e2,e0) = e0
    | op(e2,e1) = e0
    | op(e2,e2) = e0
    | op(e2,e3) = e0 ),
    inference(cnf_transformation,[status(esa)],[f2]) ).

fof(f63,plain,
    ( op(e0,e2) = e0
    | op(e1,e2) = e0
    | op(e2,e2) = e0
    | op(e3,e2) = e0 ),
    inference(cnf_transformation,[status(esa)],[f2]) ).

fof(f64,plain,
    ( op(e2,e0) = e1
    | op(e2,e1) = e1
    | op(e2,e2) = e1
    | op(e2,e3) = e1 ),
    inference(cnf_transformation,[status(esa)],[f2]) ).

fof(f65,plain,
    ( op(e0,e2) = e1
    | op(e1,e2) = e1
    | op(e2,e2) = e1
    | op(e3,e2) = e1 ),
    inference(cnf_transformation,[status(esa)],[f2]) ).

fof(f66,plain,
    ( op(e2,e0) = e2
    | op(e2,e1) = e2
    | op(e2,e2) = e2
    | op(e2,e3) = e2 ),
    inference(cnf_transformation,[status(esa)],[f2]) ).

fof(f67,plain,
    ( op(e0,e2) = e2
    | op(e1,e2) = e2
    | op(e2,e2) = e2
    | op(e3,e2) = e2 ),
    inference(cnf_transformation,[status(esa)],[f2]) ).

fof(f68,plain,
    ( op(e2,e0) = e3
    | op(e2,e1) = e3
    | op(e2,e2) = e3
    | op(e2,e3) = e3 ),
    inference(cnf_transformation,[status(esa)],[f2]) ).

fof(f69,plain,
    ( op(e0,e2) = e3
    | op(e1,e2) = e3
    | op(e2,e2) = e3
    | op(e3,e2) = e3 ),
    inference(cnf_transformation,[status(esa)],[f2]) ).

fof(f70,plain,
    ( op(e3,e0) = e0
    | op(e3,e1) = e0
    | op(e3,e2) = e0
    | op(e3,e3) = e0 ),
    inference(cnf_transformation,[status(esa)],[f2]) ).

fof(f71,plain,
    ( op(e0,e3) = e0
    | op(e1,e3) = e0
    | op(e2,e3) = e0
    | op(e3,e3) = e0 ),
    inference(cnf_transformation,[status(esa)],[f2]) ).

fof(f72,plain,
    ( op(e3,e0) = e1
    | op(e3,e1) = e1
    | op(e3,e2) = e1
    | op(e3,e3) = e1 ),
    inference(cnf_transformation,[status(esa)],[f2]) ).

fof(f73,plain,
    ( op(e0,e3) = e1
    | op(e1,e3) = e1
    | op(e2,e3) = e1
    | op(e3,e3) = e1 ),
    inference(cnf_transformation,[status(esa)],[f2]) ).

fof(f74,plain,
    ( op(e3,e0) = e2
    | op(e3,e1) = e2
    | op(e3,e2) = e2
    | op(e3,e3) = e2 ),
    inference(cnf_transformation,[status(esa)],[f2]) ).

fof(f75,plain,
    ( op(e0,e3) = e2
    | op(e1,e3) = e2
    | op(e2,e3) = e2
    | op(e3,e3) = e2 ),
    inference(cnf_transformation,[status(esa)],[f2]) ).

fof(f76,plain,
    ( op(e3,e0) = e3
    | op(e3,e1) = e3
    | op(e3,e2) = e3
    | op(e3,e3) = e3 ),
    inference(cnf_transformation,[status(esa)],[f2]) ).

fof(f78,plain,
    op(e0,e0) != op(e1,e0),
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f79,plain,
    op(e0,e0) != op(e2,e0),
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f80,plain,
    op(e0,e0) != op(e3,e0),
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f81,plain,
    op(e1,e0) != op(e2,e0),
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f82,plain,
    op(e1,e0) != op(e3,e0),
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f83,plain,
    op(e2,e0) != op(e3,e0),
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f84,plain,
    op(e0,e1) != op(e1,e1),
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f85,plain,
    op(e0,e1) != op(e2,e1),
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f86,plain,
    op(e0,e1) != op(e3,e1),
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f87,plain,
    op(e1,e1) != op(e2,e1),
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f88,plain,
    op(e1,e1) != op(e3,e1),
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f89,plain,
    op(e2,e1) != op(e3,e1),
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f91,plain,
    op(e0,e2) != op(e2,e2),
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f92,plain,
    op(e0,e2) != op(e3,e2),
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f93,plain,
    op(e1,e2) != op(e2,e2),
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f94,plain,
    op(e1,e2) != op(e3,e2),
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f95,plain,
    op(e2,e2) != op(e3,e2),
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f97,plain,
    op(e0,e3) != op(e2,e3),
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f99,plain,
    op(e1,e3) != op(e2,e3),
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f100,plain,
    op(e1,e3) != op(e3,e3),
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f101,plain,
    op(e2,e3) != op(e3,e3),
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f102,plain,
    op(e0,e0) != op(e0,e1),
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f103,plain,
    op(e0,e0) != op(e0,e2),
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f104,plain,
    op(e0,e0) != op(e0,e3),
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f105,plain,
    op(e0,e1) != op(e0,e2),
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f106,plain,
    op(e0,e1) != op(e0,e3),
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f107,plain,
    op(e0,e2) != op(e0,e3),
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f108,plain,
    op(e1,e0) != op(e1,e1),
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f109,plain,
    op(e1,e0) != op(e1,e2),
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f110,plain,
    op(e1,e0) != op(e1,e3),
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f111,plain,
    op(e1,e1) != op(e1,e2),
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f112,plain,
    op(e1,e1) != op(e1,e3),
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f113,plain,
    op(e1,e2) != op(e1,e3),
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f114,plain,
    op(e2,e0) != op(e2,e1),
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f115,plain,
    op(e2,e0) != op(e2,e2),
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f116,plain,
    op(e2,e0) != op(e2,e3),
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f117,plain,
    op(e2,e1) != op(e2,e2),
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f118,plain,
    op(e2,e1) != op(e2,e3),
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f119,plain,
    op(e2,e2) != op(e2,e3),
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f120,plain,
    op(e3,e0) != op(e3,e1),
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f122,plain,
    op(e3,e0) != op(e3,e3),
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f123,plain,
    op(e3,e1) != op(e3,e2),
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f124,plain,
    op(e3,e1) != op(e3,e3),
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f125,plain,
    op(e3,e2) != op(e3,e3),
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f126,plain,
    e0 != e1,
    inference(cnf_transformation,[status(esa)],[f4]) ).

fof(f127,plain,
    e0 != e2,
    inference(cnf_transformation,[status(esa)],[f4]) ).

fof(f128,plain,
    e0 != e3,
    inference(cnf_transformation,[status(esa)],[f4]) ).

fof(f129,plain,
    e1 != e2,
    inference(cnf_transformation,[status(esa)],[f4]) ).

fof(f130,plain,
    e1 != e3,
    inference(cnf_transformation,[status(esa)],[f4]) ).

fof(f131,plain,
    e2 != e3,
    inference(cnf_transformation,[status(esa)],[f4]) ).

fof(f132,plain,
    ( pd0_0
   => ( ( op(e0,e0) = e0
        & op(e0,e0) != e0 )
      | ( op(e1,e1) = e0
        & op(e0,e0) != e1 )
      | ( op(e2,e2) = e0
        & op(e0,e0) != e2 ) ) ),
    introduced(predicate_definition,[f5]) ).

fof(f133,plain,
    ( pd0_1
   => ( ( op(e0,e0) = e1
        & op(e1,e1) != e0 )
      | ( op(e1,e1) = e1
        & op(e1,e1) != e1 )
      | ( op(e2,e2) = e1
        & op(e1,e1) != e2 ) ) ),
    introduced(predicate_definition,[f5]) ).

fof(f134,plain,
    ( pd0_2
   => ( ( op(e0,e0) = e2
        & op(e2,e2) != e0 )
      | ( op(e1,e1) = e2
        & op(e2,e2) != e1 )
      | ( op(e2,e2) = e2
        & op(e2,e2) != e2 ) ) ),
    introduced(predicate_definition,[f5]) ).

fof(f135,plain,
    ( pd0_3
   => ( ( op(e0,e0) = e3
        & op(e3,e3) != e0 )
      | ( op(e1,e1) = e3
        & op(e3,e3) != e1 )
      | ( op(e2,e2) = e3
        & op(e3,e3) != e2 ) ) ),
    introduced(predicate_definition,[f5]) ).

fof(f136,plain,
    ( ( pd0_0
      | ( op(e3,e3) = e0
        & op(e0,e0) != e3 ) )
    & ( pd0_1
      | ( op(e3,e3) = e1
        & op(e1,e1) != e3 ) )
    & ( pd0_2
      | ( op(e3,e3) = e2
        & op(e2,e2) != e3 ) )
    & ( pd0_3
      | ( op(e3,e3) = e3
        & op(e3,e3) != e3 ) ) ),
    inference(formula_renaming,[status(thm)],[f5,f135,f134,f133,f132]) ).

fof(f137,plain,
    ( pd0_0
    | op(e3,e3) = e0 ),
    inference(cnf_transformation,[status(esa)],[f136]) ).

fof(f138,plain,
    ( pd0_0
    | op(e0,e0) != e3 ),
    inference(cnf_transformation,[status(esa)],[f136]) ).

fof(f139,plain,
    ( pd0_1
    | op(e3,e3) = e1 ),
    inference(cnf_transformation,[status(esa)],[f136]) ).

fof(f140,plain,
    ( pd0_1
    | op(e1,e1) != e3 ),
    inference(cnf_transformation,[status(esa)],[f136]) ).

fof(f141,plain,
    ( pd0_2
    | op(e3,e3) = e2 ),
    inference(cnf_transformation,[status(esa)],[f136]) ).

fof(f142,plain,
    ( pd0_2
    | op(e2,e2) != e3 ),
    inference(cnf_transformation,[status(esa)],[f136]) ).

fof(f143,plain,
    ( pd0_3
    | op(e3,e3) = e3 ),
    inference(cnf_transformation,[status(esa)],[f136]) ).

fof(f144,plain,
    ( pd0_3
    | op(e3,e3) != e3 ),
    inference(cnf_transformation,[status(esa)],[f136]) ).

fof(f145,plain,
    ( e0 != op(op(e2,e2),e2)
    | e1 != op(op(e2,e2),op(e2,e2))
    | e3 != op(e2,e2) ),
    inference(pre_NNF_transformation,[status(esa)],[f6]) ).

fof(f146,plain,
    ( e0 != op(op(e2,e2),e2)
    | e1 != op(op(e2,e2),op(e2,e2))
    | e3 != op(e2,e2) ),
    inference(cnf_transformation,[status(esa)],[f145]) ).

fof(f147,plain,
    ( e0 != op(op(e3,e3),e3)
    | e1 != op(op(e3,e3),op(e3,e3))
    | e2 != op(e3,e3) ),
    inference(pre_NNF_transformation,[status(esa)],[f7]) ).

fof(f148,plain,
    ( e0 != op(op(e3,e3),e3)
    | e1 != op(op(e3,e3),op(e3,e3))
    | e2 != op(e3,e3) ),
    inference(cnf_transformation,[status(esa)],[f147]) ).

fof(f149,plain,
    ( e0 != op(op(e1,e1),e1)
    | e2 != op(op(e1,e1),op(e1,e1))
    | e3 != op(e1,e1) ),
    inference(pre_NNF_transformation,[status(esa)],[f8]) ).

fof(f150,plain,
    ( e0 != op(op(e1,e1),e1)
    | e2 != op(op(e1,e1),op(e1,e1))
    | e3 != op(e1,e1) ),
    inference(cnf_transformation,[status(esa)],[f149]) ).

fof(f151,plain,
    ( e0 != op(op(e3,e3),e3)
    | e2 != op(op(e3,e3),op(e3,e3))
    | e1 != op(e3,e3) ),
    inference(pre_NNF_transformation,[status(esa)],[f9]) ).

fof(f152,plain,
    ( e0 != op(op(e3,e3),e3)
    | e2 != op(op(e3,e3),op(e3,e3))
    | e1 != op(e3,e3) ),
    inference(cnf_transformation,[status(esa)],[f151]) ).

fof(f153,plain,
    ( e0 != op(op(e1,e1),e1)
    | e3 != op(op(e1,e1),op(e1,e1))
    | e2 != op(e1,e1) ),
    inference(pre_NNF_transformation,[status(esa)],[f10]) ).

fof(f154,plain,
    ( e0 != op(op(e1,e1),e1)
    | e3 != op(op(e1,e1),op(e1,e1))
    | e2 != op(e1,e1) ),
    inference(cnf_transformation,[status(esa)],[f153]) ).

fof(f155,plain,
    ( e0 != op(op(e2,e2),e2)
    | e3 != op(op(e2,e2),op(e2,e2))
    | e1 != op(e2,e2) ),
    inference(pre_NNF_transformation,[status(esa)],[f11]) ).

fof(f156,plain,
    ( e0 != op(op(e2,e2),e2)
    | e3 != op(op(e2,e2),op(e2,e2))
    | e1 != op(e2,e2) ),
    inference(cnf_transformation,[status(esa)],[f155]) ).

fof(f157,plain,
    ( e1 != op(op(e2,e2),e2)
    | e0 != op(op(e2,e2),op(e2,e2))
    | e3 != op(e2,e2) ),
    inference(pre_NNF_transformation,[status(esa)],[f12]) ).

fof(f158,plain,
    ( e1 != op(op(e2,e2),e2)
    | e0 != op(op(e2,e2),op(e2,e2))
    | e3 != op(e2,e2) ),
    inference(cnf_transformation,[status(esa)],[f157]) ).

fof(f159,plain,
    ( e1 != op(op(e3,e3),e3)
    | e0 != op(op(e3,e3),op(e3,e3))
    | e2 != op(e3,e3) ),
    inference(pre_NNF_transformation,[status(esa)],[f13]) ).

fof(f160,plain,
    ( e1 != op(op(e3,e3),e3)
    | e0 != op(op(e3,e3),op(e3,e3))
    | e2 != op(e3,e3) ),
    inference(cnf_transformation,[status(esa)],[f159]) ).

fof(f161,plain,
    ( e1 != op(op(e0,e0),e0)
    | e2 != op(op(e0,e0),op(e0,e0))
    | e3 != op(e0,e0) ),
    inference(pre_NNF_transformation,[status(esa)],[f14]) ).

fof(f162,plain,
    ( e1 != op(op(e0,e0),e0)
    | e2 != op(op(e0,e0),op(e0,e0))
    | e3 != op(e0,e0) ),
    inference(cnf_transformation,[status(esa)],[f161]) ).

fof(f163,plain,
    ( e1 != op(op(e3,e3),e3)
    | e2 != op(op(e3,e3),op(e3,e3))
    | e0 != op(e3,e3) ),
    inference(pre_NNF_transformation,[status(esa)],[f15]) ).

fof(f164,plain,
    ( e1 != op(op(e3,e3),e3)
    | e2 != op(op(e3,e3),op(e3,e3))
    | e0 != op(e3,e3) ),
    inference(cnf_transformation,[status(esa)],[f163]) ).

fof(f165,plain,
    ( e1 != op(op(e0,e0),e0)
    | e3 != op(op(e0,e0),op(e0,e0))
    | e2 != op(e0,e0) ),
    inference(pre_NNF_transformation,[status(esa)],[f16]) ).

fof(f166,plain,
    ( e1 != op(op(e0,e0),e0)
    | e3 != op(op(e0,e0),op(e0,e0))
    | e2 != op(e0,e0) ),
    inference(cnf_transformation,[status(esa)],[f165]) ).

fof(f167,plain,
    ( e1 != op(op(e2,e2),e2)
    | e3 != op(op(e2,e2),op(e2,e2))
    | e0 != op(e2,e2) ),
    inference(pre_NNF_transformation,[status(esa)],[f17]) ).

fof(f168,plain,
    ( e1 != op(op(e2,e2),e2)
    | e3 != op(op(e2,e2),op(e2,e2))
    | e0 != op(e2,e2) ),
    inference(cnf_transformation,[status(esa)],[f167]) ).

fof(f169,plain,
    ( e2 != op(op(e1,e1),e1)
    | e0 != op(op(e1,e1),op(e1,e1))
    | e3 != op(e1,e1) ),
    inference(pre_NNF_transformation,[status(esa)],[f18]) ).

fof(f170,plain,
    ( e2 != op(op(e1,e1),e1)
    | e0 != op(op(e1,e1),op(e1,e1))
    | e3 != op(e1,e1) ),
    inference(cnf_transformation,[status(esa)],[f169]) ).

fof(f171,plain,
    ( e2 != op(op(e3,e3),e3)
    | e0 != op(op(e3,e3),op(e3,e3))
    | e1 != op(e3,e3) ),
    inference(pre_NNF_transformation,[status(esa)],[f19]) ).

fof(f172,plain,
    ( e2 != op(op(e3,e3),e3)
    | e0 != op(op(e3,e3),op(e3,e3))
    | e1 != op(e3,e3) ),
    inference(cnf_transformation,[status(esa)],[f171]) ).

fof(f173,plain,
    ( e2 != op(op(e0,e0),e0)
    | e1 != op(op(e0,e0),op(e0,e0))
    | e3 != op(e0,e0) ),
    inference(pre_NNF_transformation,[status(esa)],[f20]) ).

fof(f174,plain,
    ( e2 != op(op(e0,e0),e0)
    | e1 != op(op(e0,e0),op(e0,e0))
    | e3 != op(e0,e0) ),
    inference(cnf_transformation,[status(esa)],[f173]) ).

fof(f175,plain,
    ( e2 != op(op(e3,e3),e3)
    | e1 != op(op(e3,e3),op(e3,e3))
    | e0 != op(e3,e3) ),
    inference(pre_NNF_transformation,[status(esa)],[f21]) ).

fof(f176,plain,
    ( e2 != op(op(e3,e3),e3)
    | e1 != op(op(e3,e3),op(e3,e3))
    | e0 != op(e3,e3) ),
    inference(cnf_transformation,[status(esa)],[f175]) ).

fof(f179,plain,
    ( e2 != op(op(e1,e1),e1)
    | e3 != op(op(e1,e1),op(e1,e1))
    | e0 != op(e1,e1) ),
    inference(pre_NNF_transformation,[status(esa)],[f23]) ).

fof(f180,plain,
    ( e2 != op(op(e1,e1),e1)
    | e3 != op(op(e1,e1),op(e1,e1))
    | e0 != op(e1,e1) ),
    inference(cnf_transformation,[status(esa)],[f179]) ).

fof(f181,plain,
    ( e3 != op(op(e1,e1),e1)
    | e0 != op(op(e1,e1),op(e1,e1))
    | e2 != op(e1,e1) ),
    inference(pre_NNF_transformation,[status(esa)],[f24]) ).

fof(f182,plain,
    ( e3 != op(op(e1,e1),e1)
    | e0 != op(op(e1,e1),op(e1,e1))
    | e2 != op(e1,e1) ),
    inference(cnf_transformation,[status(esa)],[f181]) ).

fof(f185,plain,
    ( e3 != op(op(e0,e0),e0)
    | e1 != op(op(e0,e0),op(e0,e0))
    | e2 != op(e0,e0) ),
    inference(pre_NNF_transformation,[status(esa)],[f26]) ).

fof(f186,plain,
    ( e3 != op(op(e0,e0),e0)
    | e1 != op(op(e0,e0),op(e0,e0))
    | e2 != op(e0,e0) ),
    inference(cnf_transformation,[status(esa)],[f185]) ).

fof(f189,plain,
    ( e3 != op(op(e0,e0),e0)
    | e2 != op(op(e0,e0),op(e0,e0))
    | e1 != op(e0,e0) ),
    inference(pre_NNF_transformation,[status(esa)],[f28]) ).

fof(f190,plain,
    ( e3 != op(op(e0,e0),e0)
    | e2 != op(op(e0,e0),op(e0,e0))
    | e1 != op(e0,e0) ),
    inference(cnf_transformation,[status(esa)],[f189]) ).

fof(f191,plain,
    ( e3 != op(op(e1,e1),e1)
    | e2 != op(op(e1,e1),op(e1,e1))
    | e0 != op(e1,e1) ),
    inference(pre_NNF_transformation,[status(esa)],[f29]) ).

fof(f192,plain,
    ( e3 != op(op(e1,e1),e1)
    | e2 != op(op(e1,e1),op(e1,e1))
    | e0 != op(e1,e1) ),
    inference(cnf_transformation,[status(esa)],[f191]) ).

fof(f193,plain,
    ( ~ pd0_0
    | ( op(e0,e0) = e0
      & op(e0,e0) != e0 )
    | ( op(e1,e1) = e0
      & op(e0,e0) != e1 )
    | ( op(e2,e2) = e0
      & op(e0,e0) != e2 ) ),
    inference(pre_NNF_transformation,[status(esa)],[f132]) ).

fof(f194,plain,
    ( pd0_4
   => ( ( op(e0,e0) = e0
        & op(e0,e0) != e0 )
      | ( op(e1,e1) = e0
        & op(e0,e0) != e1 ) ) ),
    introduced(predicate_definition,[f193]) ).

fof(f195,plain,
    ( ~ pd0_0
    | pd0_4
    | ( op(e2,e2) = e0
      & op(e0,e0) != e2 ) ),
    inference(formula_renaming,[status(thm)],[f193,f194]) ).

fof(f196,plain,
    ( ~ pd0_0
    | pd0_4
    | op(e2,e2) = e0 ),
    inference(cnf_transformation,[status(esa)],[f195]) ).

fof(f197,plain,
    ( ~ pd0_0
    | pd0_4
    | op(e0,e0) != e2 ),
    inference(cnf_transformation,[status(esa)],[f195]) ).

fof(f198,plain,
    ( ~ pd0_1
    | ( op(e0,e0) = e1
      & op(e1,e1) != e0 )
    | ( op(e1,e1) = e1
      & op(e1,e1) != e1 )
    | ( op(e2,e2) = e1
      & op(e1,e1) != e2 ) ),
    inference(pre_NNF_transformation,[status(esa)],[f133]) ).

fof(f199,plain,
    ( pd0_5
   => ( ( op(e0,e0) = e1
        & op(e1,e1) != e0 )
      | ( op(e1,e1) = e1
        & op(e1,e1) != e1 ) ) ),
    introduced(predicate_definition,[f198]) ).

fof(f200,plain,
    ( ~ pd0_1
    | pd0_5
    | ( op(e2,e2) = e1
      & op(e1,e1) != e2 ) ),
    inference(formula_renaming,[status(thm)],[f198,f199]) ).

fof(f201,plain,
    ( ~ pd0_1
    | pd0_5
    | op(e2,e2) = e1 ),
    inference(cnf_transformation,[status(esa)],[f200]) ).

fof(f202,plain,
    ( ~ pd0_1
    | pd0_5
    | op(e1,e1) != e2 ),
    inference(cnf_transformation,[status(esa)],[f200]) ).

fof(f203,plain,
    ( ~ pd0_2
    | ( op(e0,e0) = e2
      & op(e2,e2) != e0 )
    | ( op(e1,e1) = e2
      & op(e2,e2) != e1 )
    | ( op(e2,e2) = e2
      & op(e2,e2) != e2 ) ),
    inference(pre_NNF_transformation,[status(esa)],[f134]) ).

fof(f204,plain,
    ( pd0_6
   => ( ( op(e0,e0) = e2
        & op(e2,e2) != e0 )
      | ( op(e1,e1) = e2
        & op(e2,e2) != e1 ) ) ),
    introduced(predicate_definition,[f203]) ).

fof(f205,plain,
    ( ~ pd0_2
    | pd0_6
    | ( op(e2,e2) = e2
      & op(e2,e2) != e2 ) ),
    inference(formula_renaming,[status(thm)],[f203,f204]) ).

fof(f206,plain,
    ( ~ pd0_2
    | pd0_6
    | op(e2,e2) = e2 ),
    inference(cnf_transformation,[status(esa)],[f205]) ).

fof(f207,plain,
    ( ~ pd0_2
    | pd0_6
    | op(e2,e2) != e2 ),
    inference(cnf_transformation,[status(esa)],[f205]) ).

fof(f208,plain,
    ( ~ pd0_3
    | ( op(e0,e0) = e3
      & op(e3,e3) != e0 )
    | ( op(e1,e1) = e3
      & op(e3,e3) != e1 )
    | ( op(e2,e2) = e3
      & op(e3,e3) != e2 ) ),
    inference(pre_NNF_transformation,[status(esa)],[f135]) ).

fof(f209,plain,
    ( pd0_7
   => ( ( op(e0,e0) = e3
        & op(e3,e3) != e0 )
      | ( op(e1,e1) = e3
        & op(e3,e3) != e1 ) ) ),
    introduced(predicate_definition,[f208]) ).

fof(f210,plain,
    ( ~ pd0_3
    | pd0_7
    | ( op(e2,e2) = e3
      & op(e3,e3) != e2 ) ),
    inference(formula_renaming,[status(thm)],[f208,f209]) ).

fof(f211,plain,
    ( ~ pd0_3
    | pd0_7
    | op(e2,e2) = e3 ),
    inference(cnf_transformation,[status(esa)],[f210]) ).

fof(f212,plain,
    ( ~ pd0_3
    | pd0_7
    | op(e3,e3) != e2 ),
    inference(cnf_transformation,[status(esa)],[f210]) ).

fof(f213,plain,
    ( ~ pd0_4
    | ( op(e0,e0) = e0
      & op(e0,e0) != e0 )
    | ( op(e1,e1) = e0
      & op(e0,e0) != e1 ) ),
    inference(pre_NNF_transformation,[status(esa)],[f194]) ).

fof(f214,plain,
    ( pd0_8
   => ( op(e0,e0) = e0
      & op(e0,e0) != e0 ) ),
    introduced(predicate_definition,[f213]) ).

fof(f215,plain,
    ( ~ pd0_4
    | pd0_8
    | ( op(e1,e1) = e0
      & op(e0,e0) != e1 ) ),
    inference(formula_renaming,[status(thm)],[f213,f214]) ).

fof(f216,plain,
    ( ~ pd0_4
    | pd0_8
    | op(e1,e1) = e0 ),
    inference(cnf_transformation,[status(esa)],[f215]) ).

fof(f217,plain,
    ( ~ pd0_4
    | pd0_8
    | op(e0,e0) != e1 ),
    inference(cnf_transformation,[status(esa)],[f215]) ).

fof(f218,plain,
    ( ~ pd0_5
    | ( op(e0,e0) = e1
      & op(e1,e1) != e0 )
    | ( op(e1,e1) = e1
      & op(e1,e1) != e1 ) ),
    inference(pre_NNF_transformation,[status(esa)],[f199]) ).

fof(f219,plain,
    ( pd0_9
   => ( op(e0,e0) = e1
      & op(e1,e1) != e0 ) ),
    introduced(predicate_definition,[f218]) ).

fof(f220,plain,
    ( ~ pd0_5
    | pd0_9
    | ( op(e1,e1) = e1
      & op(e1,e1) != e1 ) ),
    inference(formula_renaming,[status(thm)],[f218,f219]) ).

fof(f221,plain,
    ( ~ pd0_5
    | pd0_9
    | op(e1,e1) = e1 ),
    inference(cnf_transformation,[status(esa)],[f220]) ).

fof(f222,plain,
    ( ~ pd0_5
    | pd0_9
    | op(e1,e1) != e1 ),
    inference(cnf_transformation,[status(esa)],[f220]) ).

fof(f223,plain,
    ( ~ pd0_6
    | ( op(e0,e0) = e2
      & op(e2,e2) != e0 )
    | ( op(e1,e1) = e2
      & op(e2,e2) != e1 ) ),
    inference(pre_NNF_transformation,[status(esa)],[f204]) ).

fof(f224,plain,
    ( pd0_10
   => ( op(e0,e0) = e2
      & op(e2,e2) != e0 ) ),
    introduced(predicate_definition,[f223]) ).

fof(f225,plain,
    ( ~ pd0_6
    | pd0_10
    | ( op(e1,e1) = e2
      & op(e2,e2) != e1 ) ),
    inference(formula_renaming,[status(thm)],[f223,f224]) ).

fof(f226,plain,
    ( ~ pd0_6
    | pd0_10
    | op(e1,e1) = e2 ),
    inference(cnf_transformation,[status(esa)],[f225]) ).

fof(f227,plain,
    ( ~ pd0_6
    | pd0_10
    | op(e2,e2) != e1 ),
    inference(cnf_transformation,[status(esa)],[f225]) ).

fof(f228,plain,
    ( ~ pd0_7
    | ( op(e0,e0) = e3
      & op(e3,e3) != e0 )
    | ( op(e1,e1) = e3
      & op(e3,e3) != e1 ) ),
    inference(pre_NNF_transformation,[status(esa)],[f209]) ).

fof(f229,plain,
    ( pd0_11
   => ( op(e0,e0) = e3
      & op(e3,e3) != e0 ) ),
    introduced(predicate_definition,[f228]) ).

fof(f230,plain,
    ( ~ pd0_7
    | pd0_11
    | ( op(e1,e1) = e3
      & op(e3,e3) != e1 ) ),
    inference(formula_renaming,[status(thm)],[f228,f229]) ).

fof(f231,plain,
    ( ~ pd0_7
    | pd0_11
    | op(e1,e1) = e3 ),
    inference(cnf_transformation,[status(esa)],[f230]) ).

fof(f232,plain,
    ( ~ pd0_7
    | pd0_11
    | op(e3,e3) != e1 ),
    inference(cnf_transformation,[status(esa)],[f230]) ).

fof(f233,plain,
    ( ~ pd0_8
    | ( op(e0,e0) = e0
      & op(e0,e0) != e0 ) ),
    inference(pre_NNF_transformation,[status(esa)],[f214]) ).

fof(f234,plain,
    ( ~ pd0_8
    | op(e0,e0) = e0 ),
    inference(cnf_transformation,[status(esa)],[f233]) ).

fof(f235,plain,
    ( ~ pd0_8
    | op(e0,e0) != e0 ),
    inference(cnf_transformation,[status(esa)],[f233]) ).

fof(f236,plain,
    ( ~ pd0_9
    | ( op(e0,e0) = e1
      & op(e1,e1) != e0 ) ),
    inference(pre_NNF_transformation,[status(esa)],[f219]) ).

fof(f237,plain,
    ( ~ pd0_9
    | op(e0,e0) = e1 ),
    inference(cnf_transformation,[status(esa)],[f236]) ).

fof(f238,plain,
    ( ~ pd0_9
    | op(e1,e1) != e0 ),
    inference(cnf_transformation,[status(esa)],[f236]) ).

fof(f239,plain,
    ( ~ pd0_10
    | ( op(e0,e0) = e2
      & op(e2,e2) != e0 ) ),
    inference(pre_NNF_transformation,[status(esa)],[f224]) ).

fof(f240,plain,
    ( ~ pd0_10
    | op(e0,e0) = e2 ),
    inference(cnf_transformation,[status(esa)],[f239]) ).

fof(f241,plain,
    ( ~ pd0_10
    | op(e2,e2) != e0 ),
    inference(cnf_transformation,[status(esa)],[f239]) ).

fof(f242,plain,
    ( ~ pd0_11
    | ( op(e0,e0) = e3
      & op(e3,e3) != e0 ) ),
    inference(pre_NNF_transformation,[status(esa)],[f229]) ).

fof(f243,plain,
    ( ~ pd0_11
    | op(e0,e0) = e3 ),
    inference(cnf_transformation,[status(esa)],[f242]) ).

fof(f244,plain,
    ( ~ pd0_11
    | op(e3,e3) != e0 ),
    inference(cnf_transformation,[status(esa)],[f242]) ).

fof(f245,plain,
    ( spl0_0
  <=> op(e0,e0) = e0 ),
    introduced(split_symbol_definition) ).

fof(f246,plain,
    ( op(e0,e0) = e0
    | ~ spl0_0 ),
    inference(component_clause,[status(thm)],[f245]) ).

fof(f248,plain,
    ( spl0_1
  <=> op(e0,e0) = e1 ),
    introduced(split_symbol_definition) ).

fof(f249,plain,
    ( op(e0,e0) = e1
    | ~ spl0_1 ),
    inference(component_clause,[status(thm)],[f248]) ).

fof(f251,plain,
    ( spl0_2
  <=> op(e0,e0) = e2 ),
    introduced(split_symbol_definition) ).

fof(f252,plain,
    ( op(e0,e0) = e2
    | ~ spl0_2 ),
    inference(component_clause,[status(thm)],[f251]) ).

fof(f254,plain,
    ( spl0_3
  <=> op(e0,e0) = e3 ),
    introduced(split_symbol_definition) ).

fof(f255,plain,
    ( op(e0,e0) = e3
    | ~ spl0_3 ),
    inference(component_clause,[status(thm)],[f254]) ).

fof(f257,plain,
    ( spl0_0
    | spl0_1
    | spl0_2
    | spl0_3 ),
    inference(split_clause,[status(thm)],[f30,f245,f248,f251,f254]) ).

fof(f258,plain,
    ( spl0_4
  <=> op(e0,e1) = e0 ),
    introduced(split_symbol_definition) ).

fof(f259,plain,
    ( op(e0,e1) = e0
    | ~ spl0_4 ),
    inference(component_clause,[status(thm)],[f258]) ).

fof(f261,plain,
    ( spl0_5
  <=> op(e0,e1) = e1 ),
    introduced(split_symbol_definition) ).

fof(f262,plain,
    ( op(e0,e1) = e1
    | ~ spl0_5 ),
    inference(component_clause,[status(thm)],[f261]) ).

fof(f264,plain,
    ( spl0_6
  <=> op(e0,e1) = e2 ),
    introduced(split_symbol_definition) ).

fof(f265,plain,
    ( op(e0,e1) = e2
    | ~ spl0_6 ),
    inference(component_clause,[status(thm)],[f264]) ).

fof(f267,plain,
    ( spl0_7
  <=> op(e0,e1) = e3 ),
    introduced(split_symbol_definition) ).

fof(f268,plain,
    ( op(e0,e1) = e3
    | ~ spl0_7 ),
    inference(component_clause,[status(thm)],[f267]) ).

fof(f270,plain,
    ( spl0_4
    | spl0_5
    | spl0_6
    | spl0_7 ),
    inference(split_clause,[status(thm)],[f31,f258,f261,f264,f267]) ).

fof(f271,plain,
    ( spl0_8
  <=> op(e0,e2) = e0 ),
    introduced(split_symbol_definition) ).

fof(f272,plain,
    ( op(e0,e2) = e0
    | ~ spl0_8 ),
    inference(component_clause,[status(thm)],[f271]) ).

fof(f274,plain,
    ( spl0_9
  <=> op(e0,e2) = e1 ),
    introduced(split_symbol_definition) ).

fof(f275,plain,
    ( op(e0,e2) = e1
    | ~ spl0_9 ),
    inference(component_clause,[status(thm)],[f274]) ).

fof(f277,plain,
    ( spl0_10
  <=> op(e0,e2) = e2 ),
    introduced(split_symbol_definition) ).

fof(f278,plain,
    ( op(e0,e2) = e2
    | ~ spl0_10 ),
    inference(component_clause,[status(thm)],[f277]) ).

fof(f280,plain,
    ( spl0_11
  <=> op(e0,e2) = e3 ),
    introduced(split_symbol_definition) ).

fof(f281,plain,
    ( op(e0,e2) = e3
    | ~ spl0_11 ),
    inference(component_clause,[status(thm)],[f280]) ).

fof(f283,plain,
    ( spl0_8
    | spl0_9
    | spl0_10
    | spl0_11 ),
    inference(split_clause,[status(thm)],[f32,f271,f274,f277,f280]) ).

fof(f284,plain,
    ( spl0_12
  <=> op(e0,e3) = e0 ),
    introduced(split_symbol_definition) ).

fof(f285,plain,
    ( op(e0,e3) = e0
    | ~ spl0_12 ),
    inference(component_clause,[status(thm)],[f284]) ).

fof(f287,plain,
    ( spl0_13
  <=> op(e0,e3) = e1 ),
    introduced(split_symbol_definition) ).

fof(f288,plain,
    ( op(e0,e3) = e1
    | ~ spl0_13 ),
    inference(component_clause,[status(thm)],[f287]) ).

fof(f290,plain,
    ( spl0_14
  <=> op(e0,e3) = e2 ),
    introduced(split_symbol_definition) ).

fof(f291,plain,
    ( op(e0,e3) = e2
    | ~ spl0_14 ),
    inference(component_clause,[status(thm)],[f290]) ).

fof(f293,plain,
    ( spl0_15
  <=> op(e0,e3) = e3 ),
    introduced(split_symbol_definition) ).

fof(f294,plain,
    ( op(e0,e3) = e3
    | ~ spl0_15 ),
    inference(component_clause,[status(thm)],[f293]) ).

fof(f296,plain,
    ( spl0_12
    | spl0_13
    | spl0_14
    | spl0_15 ),
    inference(split_clause,[status(thm)],[f33,f284,f287,f290,f293]) ).

fof(f297,plain,
    ( spl0_16
  <=> op(e1,e0) = e0 ),
    introduced(split_symbol_definition) ).

fof(f298,plain,
    ( op(e1,e0) = e0
    | ~ spl0_16 ),
    inference(component_clause,[status(thm)],[f297]) ).

fof(f300,plain,
    ( spl0_17
  <=> op(e1,e0) = e1 ),
    introduced(split_symbol_definition) ).

fof(f301,plain,
    ( op(e1,e0) = e1
    | ~ spl0_17 ),
    inference(component_clause,[status(thm)],[f300]) ).

fof(f303,plain,
    ( spl0_18
  <=> op(e1,e0) = e2 ),
    introduced(split_symbol_definition) ).

fof(f304,plain,
    ( op(e1,e0) = e2
    | ~ spl0_18 ),
    inference(component_clause,[status(thm)],[f303]) ).

fof(f306,plain,
    ( spl0_19
  <=> op(e1,e0) = e3 ),
    introduced(split_symbol_definition) ).

fof(f307,plain,
    ( op(e1,e0) = e3
    | ~ spl0_19 ),
    inference(component_clause,[status(thm)],[f306]) ).

fof(f309,plain,
    ( spl0_16
    | spl0_17
    | spl0_18
    | spl0_19 ),
    inference(split_clause,[status(thm)],[f34,f297,f300,f303,f306]) ).

fof(f310,plain,
    ( spl0_20
  <=> op(e1,e1) = e0 ),
    introduced(split_symbol_definition) ).

fof(f311,plain,
    ( op(e1,e1) = e0
    | ~ spl0_20 ),
    inference(component_clause,[status(thm)],[f310]) ).

fof(f313,plain,
    ( spl0_21
  <=> op(e1,e1) = e1 ),
    introduced(split_symbol_definition) ).

fof(f314,plain,
    ( op(e1,e1) = e1
    | ~ spl0_21 ),
    inference(component_clause,[status(thm)],[f313]) ).

fof(f316,plain,
    ( spl0_22
  <=> op(e1,e1) = e2 ),
    introduced(split_symbol_definition) ).

fof(f317,plain,
    ( op(e1,e1) = e2
    | ~ spl0_22 ),
    inference(component_clause,[status(thm)],[f316]) ).

fof(f319,plain,
    ( spl0_23
  <=> op(e1,e1) = e3 ),
    introduced(split_symbol_definition) ).

fof(f320,plain,
    ( op(e1,e1) = e3
    | ~ spl0_23 ),
    inference(component_clause,[status(thm)],[f319]) ).

fof(f322,plain,
    ( spl0_20
    | spl0_21
    | spl0_22
    | spl0_23 ),
    inference(split_clause,[status(thm)],[f35,f310,f313,f316,f319]) ).

fof(f323,plain,
    ( spl0_24
  <=> op(e1,e2) = e0 ),
    introduced(split_symbol_definition) ).

fof(f324,plain,
    ( op(e1,e2) = e0
    | ~ spl0_24 ),
    inference(component_clause,[status(thm)],[f323]) ).

fof(f326,plain,
    ( spl0_25
  <=> op(e1,e2) = e1 ),
    introduced(split_symbol_definition) ).

fof(f327,plain,
    ( op(e1,e2) = e1
    | ~ spl0_25 ),
    inference(component_clause,[status(thm)],[f326]) ).

fof(f329,plain,
    ( spl0_26
  <=> op(e1,e2) = e2 ),
    introduced(split_symbol_definition) ).

fof(f330,plain,
    ( op(e1,e2) = e2
    | ~ spl0_26 ),
    inference(component_clause,[status(thm)],[f329]) ).

fof(f332,plain,
    ( spl0_27
  <=> op(e1,e2) = e3 ),
    introduced(split_symbol_definition) ).

fof(f333,plain,
    ( op(e1,e2) = e3
    | ~ spl0_27 ),
    inference(component_clause,[status(thm)],[f332]) ).

fof(f335,plain,
    ( spl0_24
    | spl0_25
    | spl0_26
    | spl0_27 ),
    inference(split_clause,[status(thm)],[f36,f323,f326,f329,f332]) ).

fof(f336,plain,
    ( spl0_28
  <=> op(e1,e3) = e0 ),
    introduced(split_symbol_definition) ).

fof(f337,plain,
    ( op(e1,e3) = e0
    | ~ spl0_28 ),
    inference(component_clause,[status(thm)],[f336]) ).

fof(f339,plain,
    ( spl0_29
  <=> op(e1,e3) = e1 ),
    introduced(split_symbol_definition) ).

fof(f340,plain,
    ( op(e1,e3) = e1
    | ~ spl0_29 ),
    inference(component_clause,[status(thm)],[f339]) ).

fof(f342,plain,
    ( spl0_30
  <=> op(e1,e3) = e2 ),
    introduced(split_symbol_definition) ).

fof(f343,plain,
    ( op(e1,e3) = e2
    | ~ spl0_30 ),
    inference(component_clause,[status(thm)],[f342]) ).

fof(f345,plain,
    ( spl0_31
  <=> op(e1,e3) = e3 ),
    introduced(split_symbol_definition) ).

fof(f346,plain,
    ( op(e1,e3) = e3
    | ~ spl0_31 ),
    inference(component_clause,[status(thm)],[f345]) ).

fof(f348,plain,
    ( spl0_28
    | spl0_29
    | spl0_30
    | spl0_31 ),
    inference(split_clause,[status(thm)],[f37,f336,f339,f342,f345]) ).

fof(f349,plain,
    ( spl0_32
  <=> op(e2,e0) = e0 ),
    introduced(split_symbol_definition) ).

fof(f350,plain,
    ( op(e2,e0) = e0
    | ~ spl0_32 ),
    inference(component_clause,[status(thm)],[f349]) ).

fof(f352,plain,
    ( spl0_33
  <=> op(e2,e0) = e1 ),
    introduced(split_symbol_definition) ).

fof(f353,plain,
    ( op(e2,e0) = e1
    | ~ spl0_33 ),
    inference(component_clause,[status(thm)],[f352]) ).

fof(f355,plain,
    ( spl0_34
  <=> op(e2,e0) = e2 ),
    introduced(split_symbol_definition) ).

fof(f356,plain,
    ( op(e2,e0) = e2
    | ~ spl0_34 ),
    inference(component_clause,[status(thm)],[f355]) ).

fof(f358,plain,
    ( spl0_35
  <=> op(e2,e0) = e3 ),
    introduced(split_symbol_definition) ).

fof(f359,plain,
    ( op(e2,e0) = e3
    | ~ spl0_35 ),
    inference(component_clause,[status(thm)],[f358]) ).

fof(f361,plain,
    ( spl0_32
    | spl0_33
    | spl0_34
    | spl0_35 ),
    inference(split_clause,[status(thm)],[f38,f349,f352,f355,f358]) ).

fof(f362,plain,
    ( spl0_36
  <=> op(e2,e1) = e0 ),
    introduced(split_symbol_definition) ).

fof(f363,plain,
    ( op(e2,e1) = e0
    | ~ spl0_36 ),
    inference(component_clause,[status(thm)],[f362]) ).

fof(f365,plain,
    ( spl0_37
  <=> op(e2,e1) = e1 ),
    introduced(split_symbol_definition) ).

fof(f366,plain,
    ( op(e2,e1) = e1
    | ~ spl0_37 ),
    inference(component_clause,[status(thm)],[f365]) ).

fof(f368,plain,
    ( spl0_38
  <=> op(e2,e1) = e2 ),
    introduced(split_symbol_definition) ).

fof(f369,plain,
    ( op(e2,e1) = e2
    | ~ spl0_38 ),
    inference(component_clause,[status(thm)],[f368]) ).

fof(f371,plain,
    ( spl0_39
  <=> op(e2,e1) = e3 ),
    introduced(split_symbol_definition) ).

fof(f372,plain,
    ( op(e2,e1) = e3
    | ~ spl0_39 ),
    inference(component_clause,[status(thm)],[f371]) ).

fof(f374,plain,
    ( spl0_36
    | spl0_37
    | spl0_38
    | spl0_39 ),
    inference(split_clause,[status(thm)],[f39,f362,f365,f368,f371]) ).

fof(f375,plain,
    ( spl0_40
  <=> op(e2,e2) = e0 ),
    introduced(split_symbol_definition) ).

fof(f376,plain,
    ( op(e2,e2) = e0
    | ~ spl0_40 ),
    inference(component_clause,[status(thm)],[f375]) ).

fof(f378,plain,
    ( spl0_41
  <=> op(e2,e2) = e1 ),
    introduced(split_symbol_definition) ).

fof(f379,plain,
    ( op(e2,e2) = e1
    | ~ spl0_41 ),
    inference(component_clause,[status(thm)],[f378]) ).

fof(f381,plain,
    ( spl0_42
  <=> op(e2,e2) = e2 ),
    introduced(split_symbol_definition) ).

fof(f382,plain,
    ( op(e2,e2) = e2
    | ~ spl0_42 ),
    inference(component_clause,[status(thm)],[f381]) ).

fof(f384,plain,
    ( spl0_43
  <=> op(e2,e2) = e3 ),
    introduced(split_symbol_definition) ).

fof(f385,plain,
    ( op(e2,e2) = e3
    | ~ spl0_43 ),
    inference(component_clause,[status(thm)],[f384]) ).

fof(f387,plain,
    ( spl0_40
    | spl0_41
    | spl0_42
    | spl0_43 ),
    inference(split_clause,[status(thm)],[f40,f375,f378,f381,f384]) ).

fof(f388,plain,
    ( spl0_44
  <=> op(e2,e3) = e0 ),
    introduced(split_symbol_definition) ).

fof(f389,plain,
    ( op(e2,e3) = e0
    | ~ spl0_44 ),
    inference(component_clause,[status(thm)],[f388]) ).

fof(f391,plain,
    ( spl0_45
  <=> op(e2,e3) = e1 ),
    introduced(split_symbol_definition) ).

fof(f392,plain,
    ( op(e2,e3) = e1
    | ~ spl0_45 ),
    inference(component_clause,[status(thm)],[f391]) ).

fof(f394,plain,
    ( spl0_46
  <=> op(e2,e3) = e2 ),
    introduced(split_symbol_definition) ).

fof(f395,plain,
    ( op(e2,e3) = e2
    | ~ spl0_46 ),
    inference(component_clause,[status(thm)],[f394]) ).

fof(f397,plain,
    ( spl0_47
  <=> op(e2,e3) = e3 ),
    introduced(split_symbol_definition) ).

fof(f398,plain,
    ( op(e2,e3) = e3
    | ~ spl0_47 ),
    inference(component_clause,[status(thm)],[f397]) ).

fof(f400,plain,
    ( spl0_44
    | spl0_45
    | spl0_46
    | spl0_47 ),
    inference(split_clause,[status(thm)],[f41,f388,f391,f394,f397]) ).

fof(f401,plain,
    ( spl0_48
  <=> op(e3,e0) = e0 ),
    introduced(split_symbol_definition) ).

fof(f402,plain,
    ( op(e3,e0) = e0
    | ~ spl0_48 ),
    inference(component_clause,[status(thm)],[f401]) ).

fof(f404,plain,
    ( spl0_49
  <=> op(e3,e0) = e1 ),
    introduced(split_symbol_definition) ).

fof(f405,plain,
    ( op(e3,e0) = e1
    | ~ spl0_49 ),
    inference(component_clause,[status(thm)],[f404]) ).

fof(f407,plain,
    ( spl0_50
  <=> op(e3,e0) = e2 ),
    introduced(split_symbol_definition) ).

fof(f408,plain,
    ( op(e3,e0) = e2
    | ~ spl0_50 ),
    inference(component_clause,[status(thm)],[f407]) ).

fof(f410,plain,
    ( spl0_51
  <=> op(e3,e0) = e3 ),
    introduced(split_symbol_definition) ).

fof(f411,plain,
    ( op(e3,e0) = e3
    | ~ spl0_51 ),
    inference(component_clause,[status(thm)],[f410]) ).

fof(f413,plain,
    ( spl0_48
    | spl0_49
    | spl0_50
    | spl0_51 ),
    inference(split_clause,[status(thm)],[f42,f401,f404,f407,f410]) ).

fof(f414,plain,
    ( spl0_52
  <=> op(e3,e1) = e0 ),
    introduced(split_symbol_definition) ).

fof(f415,plain,
    ( op(e3,e1) = e0
    | ~ spl0_52 ),
    inference(component_clause,[status(thm)],[f414]) ).

fof(f417,plain,
    ( spl0_53
  <=> op(e3,e1) = e1 ),
    introduced(split_symbol_definition) ).

fof(f418,plain,
    ( op(e3,e1) = e1
    | ~ spl0_53 ),
    inference(component_clause,[status(thm)],[f417]) ).

fof(f420,plain,
    ( spl0_54
  <=> op(e3,e1) = e2 ),
    introduced(split_symbol_definition) ).

fof(f421,plain,
    ( op(e3,e1) = e2
    | ~ spl0_54 ),
    inference(component_clause,[status(thm)],[f420]) ).

fof(f423,plain,
    ( spl0_55
  <=> op(e3,e1) = e3 ),
    introduced(split_symbol_definition) ).

fof(f424,plain,
    ( op(e3,e1) = e3
    | ~ spl0_55 ),
    inference(component_clause,[status(thm)],[f423]) ).

fof(f426,plain,
    ( spl0_52
    | spl0_53
    | spl0_54
    | spl0_55 ),
    inference(split_clause,[status(thm)],[f43,f414,f417,f420,f423]) ).

fof(f427,plain,
    ( spl0_56
  <=> op(e3,e2) = e0 ),
    introduced(split_symbol_definition) ).

fof(f428,plain,
    ( op(e3,e2) = e0
    | ~ spl0_56 ),
    inference(component_clause,[status(thm)],[f427]) ).

fof(f430,plain,
    ( spl0_57
  <=> op(e3,e2) = e1 ),
    introduced(split_symbol_definition) ).

fof(f431,plain,
    ( op(e3,e2) = e1
    | ~ spl0_57 ),
    inference(component_clause,[status(thm)],[f430]) ).

fof(f433,plain,
    ( spl0_58
  <=> op(e3,e2) = e2 ),
    introduced(split_symbol_definition) ).

fof(f434,plain,
    ( op(e3,e2) = e2
    | ~ spl0_58 ),
    inference(component_clause,[status(thm)],[f433]) ).

fof(f436,plain,
    ( spl0_59
  <=> op(e3,e2) = e3 ),
    introduced(split_symbol_definition) ).

fof(f437,plain,
    ( op(e3,e2) = e3
    | ~ spl0_59 ),
    inference(component_clause,[status(thm)],[f436]) ).

fof(f439,plain,
    ( spl0_56
    | spl0_57
    | spl0_58
    | spl0_59 ),
    inference(split_clause,[status(thm)],[f44,f427,f430,f433,f436]) ).

fof(f440,plain,
    ( spl0_60
  <=> op(e3,e3) = e0 ),
    introduced(split_symbol_definition) ).

fof(f441,plain,
    ( op(e3,e3) = e0
    | ~ spl0_60 ),
    inference(component_clause,[status(thm)],[f440]) ).

fof(f443,plain,
    ( spl0_61
  <=> op(e3,e3) = e1 ),
    introduced(split_symbol_definition) ).

fof(f444,plain,
    ( op(e3,e3) = e1
    | ~ spl0_61 ),
    inference(component_clause,[status(thm)],[f443]) ).

fof(f446,plain,
    ( spl0_62
  <=> op(e3,e3) = e2 ),
    introduced(split_symbol_definition) ).

fof(f447,plain,
    ( op(e3,e3) = e2
    | ~ spl0_62 ),
    inference(component_clause,[status(thm)],[f446]) ).

fof(f449,plain,
    ( spl0_63
  <=> op(e3,e3) = e3 ),
    introduced(split_symbol_definition) ).

fof(f450,plain,
    ( op(e3,e3) = e3
    | ~ spl0_63 ),
    inference(component_clause,[status(thm)],[f449]) ).

fof(f452,plain,
    ( spl0_60
    | spl0_61
    | spl0_62
    | spl0_63 ),
    inference(split_clause,[status(thm)],[f45,f440,f443,f446,f449]) ).

fof(f453,plain,
    ( spl0_0
    | spl0_4
    | spl0_8
    | spl0_12 ),
    inference(split_clause,[status(thm)],[f46,f245,f258,f271,f284]) ).

fof(f455,plain,
    ( spl0_1
    | spl0_5
    | spl0_9
    | spl0_13 ),
    inference(split_clause,[status(thm)],[f48,f248,f261,f274,f287]) ).

fof(f456,plain,
    ( spl0_1
    | spl0_17
    | spl0_33
    | spl0_49 ),
    inference(split_clause,[status(thm)],[f49,f248,f300,f352,f404]) ).

fof(f457,plain,
    ( spl0_2
    | spl0_6
    | spl0_10
    | spl0_14 ),
    inference(split_clause,[status(thm)],[f50,f251,f264,f277,f290]) ).

fof(f458,plain,
    ( spl0_2
    | spl0_18
    | spl0_34
    | spl0_50 ),
    inference(split_clause,[status(thm)],[f51,f251,f303,f355,f407]) ).

fof(f460,plain,
    ( spl0_3
    | spl0_19
    | spl0_35
    | spl0_51 ),
    inference(split_clause,[status(thm)],[f53,f254,f306,f358,f410]) ).

fof(f461,plain,
    ( spl0_16
    | spl0_20
    | spl0_24
    | spl0_28 ),
    inference(split_clause,[status(thm)],[f54,f297,f310,f323,f336]) ).

fof(f462,plain,
    ( spl0_4
    | spl0_20
    | spl0_36
    | spl0_52 ),
    inference(split_clause,[status(thm)],[f55,f258,f310,f362,f414]) ).

fof(f463,plain,
    ( spl0_17
    | spl0_21
    | spl0_25
    | spl0_29 ),
    inference(split_clause,[status(thm)],[f56,f300,f313,f326,f339]) ).

fof(f464,plain,
    ( spl0_5
    | spl0_21
    | spl0_37
    | spl0_53 ),
    inference(split_clause,[status(thm)],[f57,f261,f313,f365,f417]) ).

fof(f465,plain,
    ( spl0_18
    | spl0_22
    | spl0_26
    | spl0_30 ),
    inference(split_clause,[status(thm)],[f58,f303,f316,f329,f342]) ).

fof(f466,plain,
    ( spl0_6
    | spl0_22
    | spl0_38
    | spl0_54 ),
    inference(split_clause,[status(thm)],[f59,f264,f316,f368,f420]) ).

fof(f467,plain,
    ( spl0_19
    | spl0_23
    | spl0_27
    | spl0_31 ),
    inference(split_clause,[status(thm)],[f60,f306,f319,f332,f345]) ).

fof(f468,plain,
    ( spl0_7
    | spl0_23
    | spl0_39
    | spl0_55 ),
    inference(split_clause,[status(thm)],[f61,f267,f319,f371,f423]) ).

fof(f469,plain,
    ( spl0_32
    | spl0_36
    | spl0_40
    | spl0_44 ),
    inference(split_clause,[status(thm)],[f62,f349,f362,f375,f388]) ).

fof(f470,plain,
    ( spl0_8
    | spl0_24
    | spl0_40
    | spl0_56 ),
    inference(split_clause,[status(thm)],[f63,f271,f323,f375,f427]) ).

fof(f471,plain,
    ( spl0_33
    | spl0_37
    | spl0_41
    | spl0_45 ),
    inference(split_clause,[status(thm)],[f64,f352,f365,f378,f391]) ).

fof(f472,plain,
    ( spl0_9
    | spl0_25
    | spl0_41
    | spl0_57 ),
    inference(split_clause,[status(thm)],[f65,f274,f326,f378,f430]) ).

fof(f473,plain,
    ( spl0_34
    | spl0_38
    | spl0_42
    | spl0_46 ),
    inference(split_clause,[status(thm)],[f66,f355,f368,f381,f394]) ).

fof(f474,plain,
    ( spl0_10
    | spl0_26
    | spl0_42
    | spl0_58 ),
    inference(split_clause,[status(thm)],[f67,f277,f329,f381,f433]) ).

fof(f475,plain,
    ( spl0_35
    | spl0_39
    | spl0_43
    | spl0_47 ),
    inference(split_clause,[status(thm)],[f68,f358,f371,f384,f397]) ).

fof(f476,plain,
    ( spl0_11
    | spl0_27
    | spl0_43
    | spl0_59 ),
    inference(split_clause,[status(thm)],[f69,f280,f332,f384,f436]) ).

fof(f477,plain,
    ( spl0_48
    | spl0_52
    | spl0_56
    | spl0_60 ),
    inference(split_clause,[status(thm)],[f70,f401,f414,f427,f440]) ).

fof(f478,plain,
    ( spl0_12
    | spl0_28
    | spl0_44
    | spl0_60 ),
    inference(split_clause,[status(thm)],[f71,f284,f336,f388,f440]) ).

fof(f479,plain,
    ( spl0_49
    | spl0_53
    | spl0_57
    | spl0_61 ),
    inference(split_clause,[status(thm)],[f72,f404,f417,f430,f443]) ).

fof(f480,plain,
    ( spl0_13
    | spl0_29
    | spl0_45
    | spl0_61 ),
    inference(split_clause,[status(thm)],[f73,f287,f339,f391,f443]) ).

fof(f481,plain,
    ( spl0_50
    | spl0_54
    | spl0_58
    | spl0_62 ),
    inference(split_clause,[status(thm)],[f74,f407,f420,f433,f446]) ).

fof(f482,plain,
    ( spl0_14
    | spl0_30
    | spl0_46
    | spl0_62 ),
    inference(split_clause,[status(thm)],[f75,f290,f342,f394,f446]) ).

fof(f483,plain,
    ( spl0_51
    | spl0_55
    | spl0_59
    | spl0_63 ),
    inference(split_clause,[status(thm)],[f76,f410,f423,f436,f449]) ).

fof(f485,plain,
    ( spl0_64
  <=> pd0_0 ),
    introduced(split_symbol_definition) ).

fof(f488,plain,
    ( spl0_64
    | spl0_60 ),
    inference(split_clause,[status(thm)],[f137,f485,f440]) ).

fof(f489,plain,
    ( spl0_64
    | ~ spl0_3 ),
    inference(split_clause,[status(thm)],[f138,f485,f254]) ).

fof(f490,plain,
    ( spl0_65
  <=> pd0_1 ),
    introduced(split_symbol_definition) ).

fof(f493,plain,
    ( spl0_65
    | spl0_61 ),
    inference(split_clause,[status(thm)],[f139,f490,f443]) ).

fof(f494,plain,
    ( spl0_65
    | ~ spl0_23 ),
    inference(split_clause,[status(thm)],[f140,f490,f319]) ).

fof(f495,plain,
    ( spl0_66
  <=> pd0_2 ),
    introduced(split_symbol_definition) ).

fof(f498,plain,
    ( spl0_66
    | spl0_62 ),
    inference(split_clause,[status(thm)],[f141,f495,f446]) ).

fof(f499,plain,
    ( spl0_66
    | ~ spl0_43 ),
    inference(split_clause,[status(thm)],[f142,f495,f384]) ).

fof(f500,plain,
    ( spl0_67
  <=> pd0_3 ),
    introduced(split_symbol_definition) ).

fof(f503,plain,
    ( spl0_67
    | spl0_63 ),
    inference(split_clause,[status(thm)],[f143,f500,f449]) ).

fof(f504,plain,
    ( spl0_67
    | ~ spl0_63 ),
    inference(split_clause,[status(thm)],[f144,f500,f449]) ).

fof(f505,plain,
    ( spl0_68
  <=> e0 = op(op(e2,e2),e2) ),
    introduced(split_symbol_definition) ).

fof(f507,plain,
    ( e0 != op(op(e2,e2),e2)
    | spl0_68 ),
    inference(component_clause,[status(thm)],[f505]) ).

fof(f508,plain,
    ( spl0_69
  <=> e1 = op(op(e2,e2),op(e2,e2)) ),
    introduced(split_symbol_definition) ).

fof(f510,plain,
    ( e1 != op(op(e2,e2),op(e2,e2))
    | spl0_69 ),
    inference(component_clause,[status(thm)],[f508]) ).

fof(f511,plain,
    ( ~ spl0_68
    | ~ spl0_69
    | ~ spl0_43 ),
    inference(split_clause,[status(thm)],[f146,f505,f508,f384]) ).

fof(f512,plain,
    ( spl0_70
  <=> e0 = op(op(e3,e3),e3) ),
    introduced(split_symbol_definition) ).

fof(f514,plain,
    ( e0 != op(op(e3,e3),e3)
    | spl0_70 ),
    inference(component_clause,[status(thm)],[f512]) ).

fof(f515,plain,
    ( spl0_71
  <=> e1 = op(op(e3,e3),op(e3,e3)) ),
    introduced(split_symbol_definition) ).

fof(f516,plain,
    ( e1 = op(op(e3,e3),op(e3,e3))
    | ~ spl0_71 ),
    inference(component_clause,[status(thm)],[f515]) ).

fof(f517,plain,
    ( e1 != op(op(e3,e3),op(e3,e3))
    | spl0_71 ),
    inference(component_clause,[status(thm)],[f515]) ).

fof(f518,plain,
    ( ~ spl0_70
    | ~ spl0_71
    | ~ spl0_62 ),
    inference(split_clause,[status(thm)],[f148,f512,f515,f446]) ).

fof(f519,plain,
    ( spl0_72
  <=> e0 = op(op(e1,e1),e1) ),
    introduced(split_symbol_definition) ).

fof(f521,plain,
    ( e0 != op(op(e1,e1),e1)
    | spl0_72 ),
    inference(component_clause,[status(thm)],[f519]) ).

fof(f522,plain,
    ( spl0_73
  <=> e2 = op(op(e1,e1),op(e1,e1)) ),
    introduced(split_symbol_definition) ).

fof(f524,plain,
    ( e2 != op(op(e1,e1),op(e1,e1))
    | spl0_73 ),
    inference(component_clause,[status(thm)],[f522]) ).

fof(f525,plain,
    ( ~ spl0_72
    | ~ spl0_73
    | ~ spl0_23 ),
    inference(split_clause,[status(thm)],[f150,f519,f522,f319]) ).

fof(f526,plain,
    ( spl0_74
  <=> e2 = op(op(e3,e3),op(e3,e3)) ),
    introduced(split_symbol_definition) ).

fof(f527,plain,
    ( e2 = op(op(e3,e3),op(e3,e3))
    | ~ spl0_74 ),
    inference(component_clause,[status(thm)],[f526]) ).

fof(f528,plain,
    ( e2 != op(op(e3,e3),op(e3,e3))
    | spl0_74 ),
    inference(component_clause,[status(thm)],[f526]) ).

fof(f529,plain,
    ( ~ spl0_70
    | ~ spl0_74
    | ~ spl0_61 ),
    inference(split_clause,[status(thm)],[f152,f512,f526,f443]) ).

fof(f530,plain,
    ( spl0_75
  <=> e3 = op(op(e1,e1),op(e1,e1)) ),
    introduced(split_symbol_definition) ).

fof(f531,plain,
    ( e3 = op(op(e1,e1),op(e1,e1))
    | ~ spl0_75 ),
    inference(component_clause,[status(thm)],[f530]) ).

fof(f532,plain,
    ( e3 != op(op(e1,e1),op(e1,e1))
    | spl0_75 ),
    inference(component_clause,[status(thm)],[f530]) ).

fof(f533,plain,
    ( ~ spl0_72
    | ~ spl0_75
    | ~ spl0_22 ),
    inference(split_clause,[status(thm)],[f154,f519,f530,f316]) ).

fof(f534,plain,
    ( spl0_76
  <=> e3 = op(op(e2,e2),op(e2,e2)) ),
    introduced(split_symbol_definition) ).

fof(f535,plain,
    ( e3 = op(op(e2,e2),op(e2,e2))
    | ~ spl0_76 ),
    inference(component_clause,[status(thm)],[f534]) ).

fof(f536,plain,
    ( e3 != op(op(e2,e2),op(e2,e2))
    | spl0_76 ),
    inference(component_clause,[status(thm)],[f534]) ).

fof(f537,plain,
    ( ~ spl0_68
    | ~ spl0_76
    | ~ spl0_41 ),
    inference(split_clause,[status(thm)],[f156,f505,f534,f378]) ).

fof(f538,plain,
    ( spl0_77
  <=> e1 = op(op(e2,e2),e2) ),
    introduced(split_symbol_definition) ).

fof(f540,plain,
    ( e1 != op(op(e2,e2),e2)
    | spl0_77 ),
    inference(component_clause,[status(thm)],[f538]) ).

fof(f541,plain,
    ( spl0_78
  <=> e0 = op(op(e2,e2),op(e2,e2)) ),
    introduced(split_symbol_definition) ).

fof(f543,plain,
    ( e0 != op(op(e2,e2),op(e2,e2))
    | spl0_78 ),
    inference(component_clause,[status(thm)],[f541]) ).

fof(f544,plain,
    ( ~ spl0_77
    | ~ spl0_78
    | ~ spl0_43 ),
    inference(split_clause,[status(thm)],[f158,f538,f541,f384]) ).

fof(f545,plain,
    ( spl0_79
  <=> e1 = op(op(e3,e3),e3) ),
    introduced(split_symbol_definition) ).

fof(f547,plain,
    ( e1 != op(op(e3,e3),e3)
    | spl0_79 ),
    inference(component_clause,[status(thm)],[f545]) ).

fof(f548,plain,
    ( spl0_80
  <=> e0 = op(op(e3,e3),op(e3,e3)) ),
    introduced(split_symbol_definition) ).

fof(f549,plain,
    ( e0 = op(op(e3,e3),op(e3,e3))
    | ~ spl0_80 ),
    inference(component_clause,[status(thm)],[f548]) ).

fof(f550,plain,
    ( e0 != op(op(e3,e3),op(e3,e3))
    | spl0_80 ),
    inference(component_clause,[status(thm)],[f548]) ).

fof(f551,plain,
    ( ~ spl0_79
    | ~ spl0_80
    | ~ spl0_62 ),
    inference(split_clause,[status(thm)],[f160,f545,f548,f446]) ).

fof(f552,plain,
    ( spl0_81
  <=> e1 = op(op(e0,e0),e0) ),
    introduced(split_symbol_definition) ).

fof(f554,plain,
    ( e1 != op(op(e0,e0),e0)
    | spl0_81 ),
    inference(component_clause,[status(thm)],[f552]) ).

fof(f555,plain,
    ( spl0_82
  <=> e2 = op(op(e0,e0),op(e0,e0)) ),
    introduced(split_symbol_definition) ).

fof(f557,plain,
    ( e2 != op(op(e0,e0),op(e0,e0))
    | spl0_82 ),
    inference(component_clause,[status(thm)],[f555]) ).

fof(f558,plain,
    ( ~ spl0_81
    | ~ spl0_82
    | ~ spl0_3 ),
    inference(split_clause,[status(thm)],[f162,f552,f555,f254]) ).

fof(f559,plain,
    ( ~ spl0_79
    | ~ spl0_74
    | ~ spl0_60 ),
    inference(split_clause,[status(thm)],[f164,f545,f526,f440]) ).

fof(f560,plain,
    ( spl0_83
  <=> e3 = op(op(e0,e0),op(e0,e0)) ),
    introduced(split_symbol_definition) ).

fof(f562,plain,
    ( e3 != op(op(e0,e0),op(e0,e0))
    | spl0_83 ),
    inference(component_clause,[status(thm)],[f560]) ).

fof(f563,plain,
    ( ~ spl0_81
    | ~ spl0_83
    | ~ spl0_2 ),
    inference(split_clause,[status(thm)],[f166,f552,f560,f251]) ).

fof(f564,plain,
    ( ~ spl0_77
    | ~ spl0_76
    | ~ spl0_40 ),
    inference(split_clause,[status(thm)],[f168,f538,f534,f375]) ).

fof(f565,plain,
    ( spl0_84
  <=> e2 = op(op(e1,e1),e1) ),
    introduced(split_symbol_definition) ).

fof(f567,plain,
    ( e2 != op(op(e1,e1),e1)
    | spl0_84 ),
    inference(component_clause,[status(thm)],[f565]) ).

fof(f568,plain,
    ( spl0_85
  <=> e0 = op(op(e1,e1),op(e1,e1)) ),
    introduced(split_symbol_definition) ).

fof(f570,plain,
    ( e0 != op(op(e1,e1),op(e1,e1))
    | spl0_85 ),
    inference(component_clause,[status(thm)],[f568]) ).

fof(f571,plain,
    ( ~ spl0_84
    | ~ spl0_85
    | ~ spl0_23 ),
    inference(split_clause,[status(thm)],[f170,f565,f568,f319]) ).

fof(f572,plain,
    ( spl0_86
  <=> e2 = op(op(e3,e3),e3) ),
    introduced(split_symbol_definition) ).

fof(f574,plain,
    ( e2 != op(op(e3,e3),e3)
    | spl0_86 ),
    inference(component_clause,[status(thm)],[f572]) ).

fof(f575,plain,
    ( ~ spl0_86
    | ~ spl0_80
    | ~ spl0_61 ),
    inference(split_clause,[status(thm)],[f172,f572,f548,f443]) ).

fof(f576,plain,
    ( spl0_87
  <=> e2 = op(op(e0,e0),e0) ),
    introduced(split_symbol_definition) ).

fof(f578,plain,
    ( e2 != op(op(e0,e0),e0)
    | spl0_87 ),
    inference(component_clause,[status(thm)],[f576]) ).

fof(f579,plain,
    ( spl0_88
  <=> e1 = op(op(e0,e0),op(e0,e0)) ),
    introduced(split_symbol_definition) ).

fof(f581,plain,
    ( e1 != op(op(e0,e0),op(e0,e0))
    | spl0_88 ),
    inference(component_clause,[status(thm)],[f579]) ).

fof(f582,plain,
    ( ~ spl0_87
    | ~ spl0_88
    | ~ spl0_3 ),
    inference(split_clause,[status(thm)],[f174,f576,f579,f254]) ).

fof(f583,plain,
    ( ~ spl0_86
    | ~ spl0_71
    | ~ spl0_60 ),
    inference(split_clause,[status(thm)],[f176,f572,f515,f440]) ).

fof(f585,plain,
    ( ~ spl0_84
    | ~ spl0_75
    | ~ spl0_20 ),
    inference(split_clause,[status(thm)],[f180,f565,f530,f310]) ).

fof(f586,plain,
    ( spl0_89
  <=> e3 = op(op(e1,e1),e1) ),
    introduced(split_symbol_definition) ).

fof(f587,plain,
    ( e3 = op(op(e1,e1),e1)
    | ~ spl0_89 ),
    inference(component_clause,[status(thm)],[f586]) ).

fof(f588,plain,
    ( e3 != op(op(e1,e1),e1)
    | spl0_89 ),
    inference(component_clause,[status(thm)],[f586]) ).

fof(f589,plain,
    ( ~ spl0_89
    | ~ spl0_85
    | ~ spl0_22 ),
    inference(split_clause,[status(thm)],[f182,f586,f568,f316]) ).

fof(f594,plain,
    ( spl0_91
  <=> e3 = op(op(e0,e0),e0) ),
    introduced(split_symbol_definition) ).

fof(f596,plain,
    ( e3 != op(op(e0,e0),e0)
    | spl0_91 ),
    inference(component_clause,[status(thm)],[f594]) ).

fof(f597,plain,
    ( ~ spl0_91
    | ~ spl0_88
    | ~ spl0_2 ),
    inference(split_clause,[status(thm)],[f186,f594,f579,f251]) ).

fof(f599,plain,
    ( ~ spl0_91
    | ~ spl0_82
    | ~ spl0_1 ),
    inference(split_clause,[status(thm)],[f190,f594,f555,f248]) ).

fof(f600,plain,
    ( ~ spl0_89
    | ~ spl0_73
    | ~ spl0_20 ),
    inference(split_clause,[status(thm)],[f192,f586,f522,f310]) ).

fof(f601,plain,
    ( spl0_92
  <=> pd0_4 ),
    introduced(split_symbol_definition) ).

fof(f604,plain,
    ( ~ spl0_64
    | spl0_92
    | spl0_40 ),
    inference(split_clause,[status(thm)],[f196,f485,f601,f375]) ).

fof(f605,plain,
    ( ~ spl0_64
    | spl0_92
    | ~ spl0_2 ),
    inference(split_clause,[status(thm)],[f197,f485,f601,f251]) ).

fof(f606,plain,
    ( spl0_93
  <=> pd0_5 ),
    introduced(split_symbol_definition) ).

fof(f609,plain,
    ( ~ spl0_65
    | spl0_93
    | spl0_41 ),
    inference(split_clause,[status(thm)],[f201,f490,f606,f378]) ).

fof(f610,plain,
    ( ~ spl0_65
    | spl0_93
    | ~ spl0_22 ),
    inference(split_clause,[status(thm)],[f202,f490,f606,f316]) ).

fof(f611,plain,
    ( spl0_94
  <=> pd0_6 ),
    introduced(split_symbol_definition) ).

fof(f614,plain,
    ( ~ spl0_66
    | spl0_94
    | spl0_42 ),
    inference(split_clause,[status(thm)],[f206,f495,f611,f381]) ).

fof(f615,plain,
    ( ~ spl0_66
    | spl0_94
    | ~ spl0_42 ),
    inference(split_clause,[status(thm)],[f207,f495,f611,f381]) ).

fof(f616,plain,
    ( spl0_95
  <=> pd0_7 ),
    introduced(split_symbol_definition) ).

fof(f619,plain,
    ( ~ spl0_67
    | spl0_95
    | spl0_43 ),
    inference(split_clause,[status(thm)],[f211,f500,f616,f384]) ).

fof(f620,plain,
    ( ~ spl0_67
    | spl0_95
    | ~ spl0_62 ),
    inference(split_clause,[status(thm)],[f212,f500,f616,f446]) ).

fof(f621,plain,
    ( spl0_96
  <=> pd0_8 ),
    introduced(split_symbol_definition) ).

fof(f624,plain,
    ( ~ spl0_92
    | spl0_96
    | spl0_20 ),
    inference(split_clause,[status(thm)],[f216,f601,f621,f310]) ).

fof(f625,plain,
    ( ~ spl0_92
    | spl0_96
    | ~ spl0_1 ),
    inference(split_clause,[status(thm)],[f217,f601,f621,f248]) ).

fof(f626,plain,
    ( spl0_97
  <=> pd0_9 ),
    introduced(split_symbol_definition) ).

fof(f629,plain,
    ( ~ spl0_93
    | spl0_97
    | spl0_21 ),
    inference(split_clause,[status(thm)],[f221,f606,f626,f313]) ).

fof(f630,plain,
    ( ~ spl0_93
    | spl0_97
    | ~ spl0_21 ),
    inference(split_clause,[status(thm)],[f222,f606,f626,f313]) ).

fof(f631,plain,
    ( spl0_98
  <=> pd0_10 ),
    introduced(split_symbol_definition) ).

fof(f634,plain,
    ( ~ spl0_94
    | spl0_98
    | spl0_22 ),
    inference(split_clause,[status(thm)],[f226,f611,f631,f316]) ).

fof(f635,plain,
    ( ~ spl0_94
    | spl0_98
    | ~ spl0_41 ),
    inference(split_clause,[status(thm)],[f227,f611,f631,f378]) ).

fof(f636,plain,
    ( spl0_99
  <=> pd0_11 ),
    introduced(split_symbol_definition) ).

fof(f639,plain,
    ( ~ spl0_95
    | spl0_99
    | spl0_23 ),
    inference(split_clause,[status(thm)],[f231,f616,f636,f319]) ).

fof(f640,plain,
    ( ~ spl0_95
    | spl0_99
    | ~ spl0_61 ),
    inference(split_clause,[status(thm)],[f232,f616,f636,f443]) ).

fof(f641,plain,
    ( ~ spl0_96
    | spl0_0 ),
    inference(split_clause,[status(thm)],[f234,f621,f245]) ).

fof(f642,plain,
    ( ~ spl0_96
    | ~ spl0_0 ),
    inference(split_clause,[status(thm)],[f235,f621,f245]) ).

fof(f643,plain,
    ( ~ spl0_97
    | spl0_1 ),
    inference(split_clause,[status(thm)],[f237,f626,f248]) ).

fof(f644,plain,
    ( ~ spl0_97
    | ~ spl0_20 ),
    inference(split_clause,[status(thm)],[f238,f626,f310]) ).

fof(f645,plain,
    ( ~ spl0_98
    | spl0_2 ),
    inference(split_clause,[status(thm)],[f240,f631,f251]) ).

fof(f646,plain,
    ( ~ spl0_98
    | ~ spl0_40 ),
    inference(split_clause,[status(thm)],[f241,f631,f375]) ).

fof(f647,plain,
    ( ~ spl0_99
    | spl0_3 ),
    inference(split_clause,[status(thm)],[f243,f636,f254]) ).

fof(f648,plain,
    ( ~ spl0_99
    | ~ spl0_60 ),
    inference(split_clause,[status(thm)],[f244,f636,f440]) ).

fof(f649,plain,
    ( e1 = e2
    | ~ spl0_21
    | ~ spl0_22 ),
    inference(forward_demodulation,[status(thm)],[f314,f317]) ).

fof(f650,plain,
    ( $false
    | ~ spl0_21
    | ~ spl0_22 ),
    inference(forward_subsumption_resolution,[status(thm)],[f649,f129]) ).

fof(f651,plain,
    ( ~ spl0_21
    | ~ spl0_22 ),
    inference(contradiction_clause,[status(thm)],[f650]) ).

fof(f653,plain,
    ( e3 != op(e2,e3)
    | ~ spl0_31 ),
    inference(backward_demodulation,[status(thm)],[f346,f99]) ).

fof(f656,plain,
    ( e3 != op(e3,e1)
    | ~ spl0_51 ),
    inference(backward_demodulation,[status(thm)],[f411,f120]) ).

fof(f657,plain,
    ( e2 = e3
    | ~ spl0_46
    | ~ spl0_47 ),
    inference(backward_demodulation,[status(thm)],[f395,f398]) ).

fof(f658,plain,
    ( $false
    | ~ spl0_46
    | ~ spl0_47 ),
    inference(forward_subsumption_resolution,[status(thm)],[f657,f131]) ).

fof(f659,plain,
    ( ~ spl0_46
    | ~ spl0_47 ),
    inference(contradiction_clause,[status(thm)],[f658]) ).

fof(f660,plain,
    ( e2 = e3
    | ~ spl0_30
    | ~ spl0_31 ),
    inference(backward_demodulation,[status(thm)],[f343,f346]) ).

fof(f661,plain,
    ( $false
    | ~ spl0_30
    | ~ spl0_31 ),
    inference(forward_subsumption_resolution,[status(thm)],[f660,f131]) ).

fof(f662,plain,
    ( ~ spl0_30
    | ~ spl0_31 ),
    inference(contradiction_clause,[status(thm)],[f661]) ).

fof(f663,plain,
    ( e2 = e3
    | ~ spl0_14
    | ~ spl0_15 ),
    inference(backward_demodulation,[status(thm)],[f291,f294]) ).

fof(f664,plain,
    ( $false
    | ~ spl0_14
    | ~ spl0_15 ),
    inference(forward_subsumption_resolution,[status(thm)],[f663,f131]) ).

fof(f665,plain,
    ( ~ spl0_14
    | ~ spl0_15 ),
    inference(contradiction_clause,[status(thm)],[f664]) ).

fof(f666,plain,
    ( e2 = e3
    | ~ spl0_58
    | ~ spl0_59 ),
    inference(backward_demodulation,[status(thm)],[f434,f437]) ).

fof(f667,plain,
    ( $false
    | ~ spl0_58
    | ~ spl0_59 ),
    inference(forward_subsumption_resolution,[status(thm)],[f666,f131]) ).

fof(f668,plain,
    ( ~ spl0_58
    | ~ spl0_59 ),
    inference(contradiction_clause,[status(thm)],[f667]) ).

fof(f669,plain,
    ( e2 = e3
    | ~ spl0_54
    | ~ spl0_55 ),
    inference(backward_demodulation,[status(thm)],[f421,f424]) ).

fof(f670,plain,
    ( $false
    | ~ spl0_54
    | ~ spl0_55 ),
    inference(forward_subsumption_resolution,[status(thm)],[f669,f131]) ).

fof(f671,plain,
    ( ~ spl0_54
    | ~ spl0_55 ),
    inference(contradiction_clause,[status(thm)],[f670]) ).

fof(f672,plain,
    ( e2 = e3
    | ~ spl0_50
    | ~ spl0_51 ),
    inference(backward_demodulation,[status(thm)],[f408,f411]) ).

fof(f673,plain,
    ( $false
    | ~ spl0_50
    | ~ spl0_51 ),
    inference(forward_subsumption_resolution,[status(thm)],[f672,f131]) ).

fof(f674,plain,
    ( ~ spl0_50
    | ~ spl0_51 ),
    inference(contradiction_clause,[status(thm)],[f673]) ).

fof(f675,plain,
    ( e0 = e1
    | ~ spl0_44
    | ~ spl0_45 ),
    inference(backward_demodulation,[status(thm)],[f389,f392]) ).

fof(f676,plain,
    ( $false
    | ~ spl0_44
    | ~ spl0_45 ),
    inference(forward_subsumption_resolution,[status(thm)],[f675,f126]) ).

fof(f677,plain,
    ( ~ spl0_44
    | ~ spl0_45 ),
    inference(contradiction_clause,[status(thm)],[f676]) ).

fof(f678,plain,
    ( e0 = e1
    | ~ spl0_28
    | ~ spl0_29 ),
    inference(backward_demodulation,[status(thm)],[f337,f340]) ).

fof(f679,plain,
    ( $false
    | ~ spl0_28
    | ~ spl0_29 ),
    inference(forward_subsumption_resolution,[status(thm)],[f678,f126]) ).

fof(f680,plain,
    ( ~ spl0_28
    | ~ spl0_29 ),
    inference(contradiction_clause,[status(thm)],[f679]) ).

fof(f681,plain,
    ( e0 = e1
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(backward_demodulation,[status(thm)],[f285,f288]) ).

fof(f682,plain,
    ( $false
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(forward_subsumption_resolution,[status(thm)],[f681,f126]) ).

fof(f683,plain,
    ( ~ spl0_12
    | ~ spl0_13 ),
    inference(contradiction_clause,[status(thm)],[f682]) ).

fof(f684,plain,
    ( e0 = e1
    | ~ spl0_56
    | ~ spl0_57 ),
    inference(backward_demodulation,[status(thm)],[f428,f431]) ).

fof(f685,plain,
    ( $false
    | ~ spl0_56
    | ~ spl0_57 ),
    inference(forward_subsumption_resolution,[status(thm)],[f684,f126]) ).

fof(f686,plain,
    ( ~ spl0_56
    | ~ spl0_57 ),
    inference(contradiction_clause,[status(thm)],[f685]) ).

fof(f687,plain,
    ( e0 = e1
    | ~ spl0_52
    | ~ spl0_53 ),
    inference(backward_demodulation,[status(thm)],[f415,f418]) ).

fof(f688,plain,
    ( $false
    | ~ spl0_52
    | ~ spl0_53 ),
    inference(forward_subsumption_resolution,[status(thm)],[f687,f126]) ).

fof(f689,plain,
    ( ~ spl0_52
    | ~ spl0_53 ),
    inference(contradiction_clause,[status(thm)],[f688]) ).

fof(f690,plain,
    ( e0 = e1
    | ~ spl0_48
    | ~ spl0_49 ),
    inference(backward_demodulation,[status(thm)],[f402,f405]) ).

fof(f691,plain,
    ( $false
    | ~ spl0_48
    | ~ spl0_49 ),
    inference(forward_subsumption_resolution,[status(thm)],[f690,f126]) ).

fof(f692,plain,
    ( ~ spl0_48
    | ~ spl0_49 ),
    inference(contradiction_clause,[status(thm)],[f691]) ).

fof(f693,plain,
    ( e3 != op(e1,e3)
    | ~ spl0_27 ),
    inference(backward_demodulation,[status(thm)],[f333,f113]) ).

fof(f694,plain,
    ( e3 != op(e3,e2)
    | ~ spl0_27 ),
    inference(backward_demodulation,[status(thm)],[f333,f94]) ).

fof(f695,plain,
    ( e3 != op(e2,e2)
    | ~ spl0_27 ),
    inference(backward_demodulation,[status(thm)],[f333,f93]) ).

fof(f696,plain,
    ( e3 != op(e0,e3)
    | ~ spl0_11 ),
    inference(backward_demodulation,[status(thm)],[f281,f107]) ).

fof(f699,plain,
    ( e3 != op(e3,e1)
    | ~ spl0_39 ),
    inference(backward_demodulation,[status(thm)],[f372,f89]) ).

fof(f701,plain,
    ( e3 != op(e3,e0)
    | ~ spl0_35 ),
    inference(backward_demodulation,[status(thm)],[f359,f83]) ).

fof(f702,plain,
    ( e2 = e3
    | ~ spl0_26
    | ~ spl0_27 ),
    inference(backward_demodulation,[status(thm)],[f330,f333]) ).

fof(f703,plain,
    ( $false
    | ~ spl0_26
    | ~ spl0_27 ),
    inference(forward_subsumption_resolution,[status(thm)],[f702,f131]) ).

fof(f704,plain,
    ( ~ spl0_26
    | ~ spl0_27 ),
    inference(contradiction_clause,[status(thm)],[f703]) ).

fof(f705,plain,
    ( e2 = e3
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(backward_demodulation,[status(thm)],[f278,f281]) ).

fof(f706,plain,
    ( $false
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(forward_subsumption_resolution,[status(thm)],[f705,f131]) ).

fof(f707,plain,
    ( ~ spl0_10
    | ~ spl0_11 ),
    inference(contradiction_clause,[status(thm)],[f706]) ).

fof(f708,plain,
    ( e2 = e3
    | ~ spl0_38
    | ~ spl0_39 ),
    inference(backward_demodulation,[status(thm)],[f369,f372]) ).

fof(f709,plain,
    ( $false
    | ~ spl0_38
    | ~ spl0_39 ),
    inference(forward_subsumption_resolution,[status(thm)],[f708,f131]) ).

fof(f710,plain,
    ( ~ spl0_38
    | ~ spl0_39 ),
    inference(contradiction_clause,[status(thm)],[f709]) ).

fof(f711,plain,
    ( e2 = e3
    | ~ spl0_34
    | ~ spl0_35 ),
    inference(backward_demodulation,[status(thm)],[f356,f359]) ).

fof(f712,plain,
    ( $false
    | ~ spl0_34
    | ~ spl0_35 ),
    inference(forward_subsumption_resolution,[status(thm)],[f711,f131]) ).

fof(f713,plain,
    ( ~ spl0_34
    | ~ spl0_35 ),
    inference(contradiction_clause,[status(thm)],[f712]) ).

fof(f714,plain,
    ( e0 = e1
    | ~ spl0_24
    | ~ spl0_25 ),
    inference(backward_demodulation,[status(thm)],[f324,f327]) ).

fof(f715,plain,
    ( $false
    | ~ spl0_24
    | ~ spl0_25 ),
    inference(forward_subsumption_resolution,[status(thm)],[f714,f126]) ).

fof(f716,plain,
    ( ~ spl0_24
    | ~ spl0_25 ),
    inference(contradiction_clause,[status(thm)],[f715]) ).

fof(f717,plain,
    ( e0 = e1
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(backward_demodulation,[status(thm)],[f272,f275]) ).

fof(f718,plain,
    ( $false
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(forward_subsumption_resolution,[status(thm)],[f717,f126]) ).

fof(f719,plain,
    ( ~ spl0_8
    | ~ spl0_9 ),
    inference(contradiction_clause,[status(thm)],[f718]) ).

fof(f720,plain,
    ( e0 = e1
    | ~ spl0_36
    | ~ spl0_37 ),
    inference(backward_demodulation,[status(thm)],[f363,f366]) ).

fof(f721,plain,
    ( $false
    | ~ spl0_36
    | ~ spl0_37 ),
    inference(forward_subsumption_resolution,[status(thm)],[f720,f126]) ).

fof(f722,plain,
    ( ~ spl0_36
    | ~ spl0_37 ),
    inference(contradiction_clause,[status(thm)],[f721]) ).

fof(f727,plain,
    ( e3 != op(e1,e1)
    | ~ spl0_7 ),
    inference(backward_demodulation,[status(thm)],[f268,f84]) ).

fof(f728,plain,
    ( ~ spl0_23
    | ~ spl0_7 ),
    inference(split_clause,[status(thm)],[f727,f319,f267]) ).

fof(f737,plain,
    ( e2 != op(e2,e3)
    | ~ spl0_42 ),
    inference(backward_demodulation,[status(thm)],[f382,f119]) ).

fof(f739,plain,
    ( e1 = e2
    | ~ spl0_41
    | ~ spl0_42 ),
    inference(forward_demodulation,[status(thm)],[f379,f382]) ).

fof(f740,plain,
    ( $false
    | ~ spl0_41
    | ~ spl0_42 ),
    inference(forward_subsumption_resolution,[status(thm)],[f739,f129]) ).

fof(f741,plain,
    ( ~ spl0_41
    | ~ spl0_42 ),
    inference(contradiction_clause,[status(thm)],[f740]) ).

fof(f743,plain,
    ( e2 != op(e1,e2)
    | ~ spl0_18 ),
    inference(forward_demodulation,[status(thm)],[f304,f109]) ).

fof(f752,plain,
    ( e2 = e3
    | ~ spl0_18
    | ~ spl0_19 ),
    inference(forward_demodulation,[status(thm)],[f304,f307]) ).

fof(f753,plain,
    ( $false
    | ~ spl0_18
    | ~ spl0_19 ),
    inference(forward_subsumption_resolution,[status(thm)],[f752,f131]) ).

fof(f754,plain,
    ( ~ spl0_18
    | ~ spl0_19 ),
    inference(contradiction_clause,[status(thm)],[f753]) ).

fof(f755,plain,
    ( e2 = e3
    | ~ spl0_6
    | ~ spl0_7 ),
    inference(backward_demodulation,[status(thm)],[f265,f268]) ).

fof(f756,plain,
    ( $false
    | ~ spl0_6
    | ~ spl0_7 ),
    inference(forward_subsumption_resolution,[status(thm)],[f755,f131]) ).

fof(f757,plain,
    ( ~ spl0_6
    | ~ spl0_7 ),
    inference(contradiction_clause,[status(thm)],[f756]) ).

fof(f758,plain,
    ( e0 = e1
    | ~ spl0_4
    | ~ spl0_5 ),
    inference(backward_demodulation,[status(thm)],[f259,f262]) ).

fof(f759,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_5 ),
    inference(forward_subsumption_resolution,[status(thm)],[f758,f126]) ).

fof(f760,plain,
    ( ~ spl0_4
    | ~ spl0_5 ),
    inference(contradiction_clause,[status(thm)],[f759]) ).

fof(f761,plain,
    ( e0 = e3
    | ~ spl0_60
    | ~ spl0_63 ),
    inference(forward_demodulation,[status(thm)],[f441,f450]) ).

fof(f762,plain,
    ( $false
    | ~ spl0_60
    | ~ spl0_63 ),
    inference(forward_subsumption_resolution,[status(thm)],[f761,f128]) ).

fof(f763,plain,
    ( ~ spl0_60
    | ~ spl0_63 ),
    inference(contradiction_clause,[status(thm)],[f762]) ).

fof(f765,plain,
    ( e1 != op(e3,e0)
    | ~ spl0_33 ),
    inference(forward_demodulation,[status(thm)],[f353,f83]) ).

fof(f767,plain,
    ( e1 != op(e0,e3)
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f275,f107]) ).

fof(f768,plain,
    ( e1 != op(e3,e2)
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f275,f92]) ).

fof(f769,plain,
    ( e0 = e1
    | ~ spl0_60
    | ~ spl0_61 ),
    inference(forward_demodulation,[status(thm)],[f441,f444]) ).

fof(f770,plain,
    ( $false
    | ~ spl0_60
    | ~ spl0_61 ),
    inference(forward_subsumption_resolution,[status(thm)],[f769,f126]) ).

fof(f771,plain,
    ( ~ spl0_60
    | ~ spl0_61 ),
    inference(contradiction_clause,[status(thm)],[f770]) ).

fof(f772,plain,
    ( e0 = e2
    | ~ spl0_0
    | ~ spl0_2 ),
    inference(forward_demodulation,[status(thm)],[f246,f252]) ).

fof(f773,plain,
    ( $false
    | ~ spl0_0
    | ~ spl0_2 ),
    inference(forward_subsumption_resolution,[status(thm)],[f772,f127]) ).

fof(f774,plain,
    ( ~ spl0_0
    | ~ spl0_2 ),
    inference(contradiction_clause,[status(thm)],[f773]) ).

fof(f775,plain,
    ( e0 != op(e2,e1)
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f311,f87]) ).

fof(f776,plain,
    ( e0 != op(e1,e2)
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f311,f111]) ).

fof(f777,plain,
    ( e3 != op(e0,e1)
    | ~ spl0_20
    | spl0_89 ),
    inference(forward_demodulation,[status(thm)],[f311,f588]) ).

fof(f787,plain,
    ( e1 != op(e0,e2)
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f262,f105]) ).

fof(f789,plain,
    ( e1 != op(e2,e1)
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f262,f85]) ).

fof(f792,plain,
    ( e1 != op(e1,e3)
    | ~ spl0_21 ),
    inference(backward_demodulation,[status(thm)],[f314,f112]) ).

fof(f793,plain,
    ( e1 != op(e1,e2)
    | ~ spl0_21 ),
    inference(backward_demodulation,[status(thm)],[f314,f111]) ).

fof(f794,plain,
    ( e1 != op(e2,e1)
    | ~ spl0_21 ),
    inference(backward_demodulation,[status(thm)],[f314,f87]) ).

fof(f795,plain,
    ( ~ spl0_37
    | ~ spl0_21 ),
    inference(split_clause,[status(thm)],[f794,f365,f313]) ).

fof(f796,plain,
    ( e0 = e1
    | ~ spl0_20
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f311,f314]) ).

fof(f797,plain,
    ( $false
    | ~ spl0_20
    | ~ spl0_21 ),
    inference(forward_subsumption_resolution,[status(thm)],[f796,f126]) ).

fof(f798,plain,
    ( ~ spl0_20
    | ~ spl0_21 ),
    inference(contradiction_clause,[status(thm)],[f797]) ).

fof(f799,plain,
    ( e1 != op(op(e3,e3),e2)
    | ~ spl0_62
    | spl0_71 ),
    inference(backward_demodulation,[status(thm)],[f447,f517]) ).

fof(f800,plain,
    ( e0 != op(op(e3,e3),e2)
    | ~ spl0_62
    | spl0_80 ),
    inference(backward_demodulation,[status(thm)],[f447,f550]) ).

fof(f809,plain,
    ( e1 != op(e2,e3)
    | ~ spl0_62
    | spl0_79 ),
    inference(backward_demodulation,[status(thm)],[f447,f547]) ).

fof(f810,plain,
    ( ~ spl0_45
    | ~ spl0_62
    | spl0_79 ),
    inference(split_clause,[status(thm)],[f809,f391,f446,f545]) ).

fof(f812,plain,
    ( e2 = e3
    | ~ spl0_62
    | ~ spl0_63 ),
    inference(forward_demodulation,[status(thm)],[f447,f450]) ).

fof(f813,plain,
    ( $false
    | ~ spl0_62
    | ~ spl0_63 ),
    inference(forward_subsumption_resolution,[status(thm)],[f812,f131]) ).

fof(f814,plain,
    ( ~ spl0_62
    | ~ spl0_63 ),
    inference(contradiction_clause,[status(thm)],[f813]) ).

fof(f815,plain,
    ( e1 = e3
    | ~ spl0_17
    | ~ spl0_19 ),
    inference(backward_demodulation,[status(thm)],[f301,f307]) ).

fof(f816,plain,
    ( $false
    | ~ spl0_17
    | ~ spl0_19 ),
    inference(forward_subsumption_resolution,[status(thm)],[f815,f130]) ).

fof(f817,plain,
    ( ~ spl0_17
    | ~ spl0_19 ),
    inference(contradiction_clause,[status(thm)],[f816]) ).

fof(f818,plain,
    ( e3 != op(op(e2,e2),e1)
    | ~ spl0_41
    | spl0_76 ),
    inference(backward_demodulation,[status(thm)],[f379,f536]) ).

fof(f819,plain,
    ( e3 != op(e1,e1)
    | ~ spl0_41
    | spl0_76 ),
    inference(forward_demodulation,[status(thm)],[f379,f818]) ).

fof(f825,plain,
    ( e1 != op(e3,e2)
    | ~ spl0_41 ),
    inference(backward_demodulation,[status(thm)],[f379,f95]) ).

fof(f826,plain,
    ( ~ spl0_57
    | ~ spl0_41 ),
    inference(split_clause,[status(thm)],[f825,f430,f378]) ).

fof(f832,plain,
    ( e1 != op(e3,e3)
    | ~ spl0_57 ),
    inference(backward_demodulation,[status(thm)],[f431,f125]) ).

fof(f833,plain,
    ( ~ spl0_61
    | ~ spl0_57 ),
    inference(split_clause,[status(thm)],[f832,f443,f430]) ).

fof(f835,plain,
    ( e0 != op(e2,e2)
    | ~ spl0_62
    | spl0_80 ),
    inference(backward_demodulation,[status(thm)],[f447,f800]) ).

fof(f837,plain,
    ( e1 != op(e2,e2)
    | ~ spl0_62
    | spl0_71 ),
    inference(backward_demodulation,[status(thm)],[f447,f799]) ).

fof(f838,plain,
    ( ~ spl0_41
    | ~ spl0_62
    | spl0_71 ),
    inference(split_clause,[status(thm)],[f837,f378,f446,f515]) ).

fof(f840,plain,
    ( e0 != op(e2,e3)
    | ~ spl0_62
    | spl0_70 ),
    inference(backward_demodulation,[status(thm)],[f447,f514]) ).

fof(f841,plain,
    ( ~ spl0_44
    | ~ spl0_62
    | spl0_70 ),
    inference(split_clause,[status(thm)],[f840,f388,f446,f512]) ).

fof(f843,plain,
    ( e1 != op(e2,e2)
    | ~ spl0_33 ),
    inference(forward_demodulation,[status(thm)],[f353,f115]) ).

fof(f844,plain,
    ( ~ spl0_41
    | ~ spl0_33 ),
    inference(split_clause,[status(thm)],[f843,f378,f352]) ).

fof(f846,plain,
    ( e1 = e2
    | ~ spl0_33
    | ~ spl0_34 ),
    inference(backward_demodulation,[status(thm)],[f353,f356]) ).

fof(f847,plain,
    ( $false
    | ~ spl0_33
    | ~ spl0_34 ),
    inference(forward_subsumption_resolution,[status(thm)],[f846,f129]) ).

fof(f848,plain,
    ( ~ spl0_33
    | ~ spl0_34 ),
    inference(contradiction_clause,[status(thm)],[f847]) ).

fof(f850,plain,
    ( e2 != op(e3,e2)
    | ~ spl0_54 ),
    inference(backward_demodulation,[status(thm)],[f421,f123]) ).

fof(f851,plain,
    ( ~ spl0_58
    | ~ spl0_54 ),
    inference(split_clause,[status(thm)],[f850,f433,f420]) ).

fof(f853,plain,
    ( ~ spl0_36
    | ~ spl0_20 ),
    inference(split_clause,[status(thm)],[f775,f362,f310]) ).

fof(f854,plain,
    ( ~ spl0_24
    | ~ spl0_20 ),
    inference(split_clause,[status(thm)],[f776,f323,f310]) ).

fof(f857,plain,
    ( e1 = e2
    | ~ spl0_53
    | ~ spl0_54 ),
    inference(backward_demodulation,[status(thm)],[f418,f421]) ).

fof(f858,plain,
    ( $false
    | ~ spl0_53
    | ~ spl0_54 ),
    inference(forward_subsumption_resolution,[status(thm)],[f857,f129]) ).

fof(f859,plain,
    ( ~ spl0_53
    | ~ spl0_54 ),
    inference(contradiction_clause,[status(thm)],[f858]) ).

fof(f860,plain,
    ( ~ spl0_51
    | ~ spl0_35 ),
    inference(split_clause,[status(thm)],[f701,f410,f358]) ).

fof(f861,plain,
    ( e3 != op(e2,e2)
    | ~ spl0_35 ),
    inference(backward_demodulation,[status(thm)],[f359,f115]) ).

fof(f868,plain,
    ( e0 != op(e3,e1)
    | ~ spl0_4 ),
    inference(backward_demodulation,[status(thm)],[f259,f86]) ).

fof(f869,plain,
    ( ~ spl0_52
    | ~ spl0_4 ),
    inference(split_clause,[status(thm)],[f868,f414,f258]) ).

fof(f870,plain,
    ( e0 != op(e2,e1)
    | ~ spl0_4 ),
    inference(backward_demodulation,[status(thm)],[f259,f85]) ).

fof(f873,plain,
    ( e2 != op(op(e0,e0),e1)
    | ~ spl0_1
    | spl0_82 ),
    inference(backward_demodulation,[status(thm)],[f249,f557]) ).

fof(f880,plain,
    ( ~ spl0_23
    | ~ spl0_41
    | spl0_76 ),
    inference(split_clause,[status(thm)],[f819,f319,f378,f534]) ).

fof(f881,plain,
    ( e0 = e2
    | ~ spl0_60
    | ~ spl0_62 ),
    inference(backward_demodulation,[status(thm)],[f441,f447]) ).

fof(f882,plain,
    ( $false
    | ~ spl0_60
    | ~ spl0_62 ),
    inference(forward_subsumption_resolution,[status(thm)],[f881,f127]) ).

fof(f883,plain,
    ( ~ spl0_60
    | ~ spl0_62 ),
    inference(contradiction_clause,[status(thm)],[f882]) ).

fof(f887,plain,
    ( ~ spl0_15
    | ~ spl0_11 ),
    inference(split_clause,[status(thm)],[f696,f293,f280]) ).

fof(f891,plain,
    ( ~ spl0_26
    | ~ spl0_18 ),
    inference(split_clause,[status(thm)],[f743,f329,f303]) ).

fof(f892,plain,
    ( e3 != op(e2,e1)
    | ~ spl0_23 ),
    inference(backward_demodulation,[status(thm)],[f320,f87]) ).

fof(f893,plain,
    ( ~ spl0_39
    | ~ spl0_23 ),
    inference(split_clause,[status(thm)],[f892,f371,f319]) ).

fof(f894,plain,
    ( e3 != op(e3,e1)
    | ~ spl0_23 ),
    inference(backward_demodulation,[status(thm)],[f320,f88]) ).

fof(f895,plain,
    ( ~ spl0_55
    | ~ spl0_23 ),
    inference(split_clause,[status(thm)],[f894,f423,f319]) ).

fof(f896,plain,
    ( e0 != op(e3,e1)
    | ~ spl0_23
    | spl0_72 ),
    inference(backward_demodulation,[status(thm)],[f320,f521]) ).

fof(f899,plain,
    ( e2 != op(e3,e1)
    | ~ spl0_23
    | spl0_84 ),
    inference(backward_demodulation,[status(thm)],[f320,f567]) ).

fof(f900,plain,
    ( e2 != op(e3,e3)
    | ~ spl0_46 ),
    inference(backward_demodulation,[status(thm)],[f395,f101]) ).

fof(f901,plain,
    ( ~ spl0_62
    | ~ spl0_46 ),
    inference(split_clause,[status(thm)],[f900,f446,f394]) ).

fof(f902,plain,
    ( e3 = op(e1,op(e2,e2))
    | ~ spl0_41
    | ~ spl0_76 ),
    inference(forward_demodulation,[status(thm)],[f379,f535]) ).

fof(f905,plain,
    ( e0 != op(e1,e3)
    | ~ spl0_20 ),
    inference(backward_demodulation,[status(thm)],[f311,f112]) ).

fof(f906,plain,
    ( e2 != op(e0,e1)
    | ~ spl0_20
    | spl0_84 ),
    inference(backward_demodulation,[status(thm)],[f311,f567]) ).

fof(f907,plain,
    ( ~ spl0_6
    | ~ spl0_20
    | spl0_84 ),
    inference(split_clause,[status(thm)],[f906,f264,f310,f565]) ).

fof(f911,plain,
    ( ~ spl0_55
    | ~ spl0_39 ),
    inference(split_clause,[status(thm)],[f699,f423,f371]) ).

fof(f912,plain,
    ( e1 = e2
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(backward_demodulation,[status(thm)],[f262,f265]) ).

fof(f913,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(forward_subsumption_resolution,[status(thm)],[f912,f129]) ).

fof(f914,plain,
    ( ~ spl0_5
    | ~ spl0_6 ),
    inference(contradiction_clause,[status(thm)],[f913]) ).

fof(f917,plain,
    ( e0 != op(e1,e2)
    | ~ spl0_41
    | spl0_68 ),
    inference(backward_demodulation,[status(thm)],[f379,f507]) ).

fof(f918,plain,
    ( ~ spl0_24
    | ~ spl0_41
    | spl0_68 ),
    inference(split_clause,[status(thm)],[f917,f323,f378,f505]) ).

fof(f921,plain,
    ( e3 != op(e1,e0)
    | ~ spl0_1
    | spl0_91 ),
    inference(backward_demodulation,[status(thm)],[f249,f596]) ).

fof(f922,plain,
    ( ~ spl0_19
    | ~ spl0_1
    | spl0_91 ),
    inference(split_clause,[status(thm)],[f921,f306,f248,f594]) ).

fof(f923,plain,
    ( e3 = op(e1,e1)
    | ~ spl0_41
    | ~ spl0_76 ),
    inference(forward_demodulation,[status(thm)],[f379,f902]) ).

fof(f924,plain,
    ( spl0_23
    | ~ spl0_41
    | ~ spl0_76 ),
    inference(split_clause,[status(thm)],[f923,f319,f378,f534]) ).

fof(f925,plain,
    ( e1 != op(e0,e3)
    | ~ spl0_60
    | spl0_79 ),
    inference(forward_demodulation,[status(thm)],[f441,f547]) ).

fof(f927,plain,
    ( e1 = e2
    | ~ spl0_49
    | ~ spl0_50 ),
    inference(forward_demodulation,[status(thm)],[f405,f408]) ).

fof(f928,plain,
    ( $false
    | ~ spl0_49
    | ~ spl0_50 ),
    inference(forward_subsumption_resolution,[status(thm)],[f927,f129]) ).

fof(f929,plain,
    ( ~ spl0_49
    | ~ spl0_50 ),
    inference(contradiction_clause,[status(thm)],[f928]) ).

fof(f930,plain,
    ( $false
    | ~ spl0_60
    | spl0_79
    | ~ spl0_13 ),
    inference(forward_subsumption_resolution,[status(thm)],[f288,f925]) ).

fof(f931,plain,
    ( ~ spl0_60
    | spl0_79
    | ~ spl0_13 ),
    inference(contradiction_clause,[status(thm)],[f930]) ).

fof(f934,plain,
    ( e1 = e3
    | ~ spl0_41
    | ~ spl0_43 ),
    inference(forward_demodulation,[status(thm)],[f379,f385]) ).

fof(f935,plain,
    ( $false
    | ~ spl0_41
    | ~ spl0_43 ),
    inference(forward_subsumption_resolution,[status(thm)],[f934,f130]) ).

fof(f936,plain,
    ( ~ spl0_41
    | ~ spl0_43 ),
    inference(contradiction_clause,[status(thm)],[f935]) ).

fof(f942,plain,
    ( ~ spl0_7
    | ~ spl0_20
    | spl0_89 ),
    inference(split_clause,[status(thm)],[f777,f267,f310,f586]) ).

fof(f945,plain,
    ( ~ spl0_28
    | ~ spl0_20 ),
    inference(split_clause,[status(thm)],[f905,f336,f310]) ).

fof(f946,plain,
    ( e0 != op(e3,e0)
    | ~ spl0_32 ),
    inference(forward_demodulation,[status(thm)],[f350,f83]) ).

fof(f947,plain,
    ( ~ spl0_31
    | ~ spl0_27 ),
    inference(split_clause,[status(thm)],[f693,f345,f332]) ).

fof(f948,plain,
    ( ~ spl0_59
    | ~ spl0_27 ),
    inference(split_clause,[status(thm)],[f694,f436,f332]) ).

fof(f949,plain,
    ( ~ spl0_43
    | ~ spl0_27 ),
    inference(split_clause,[status(thm)],[f695,f384,f332]) ).

fof(f951,plain,
    ( e0 = e2
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(backward_demodulation,[status(thm)],[f272,f278]) ).

fof(f952,plain,
    ( $false
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(forward_subsumption_resolution,[status(thm)],[f951,f127]) ).

fof(f953,plain,
    ( ~ spl0_8
    | ~ spl0_10 ),
    inference(contradiction_clause,[status(thm)],[f952]) ).

fof(f956,plain,
    ( e2 != op(e0,op(e1,e1))
    | ~ spl0_20
    | spl0_73 ),
    inference(forward_demodulation,[status(thm)],[f311,f524]) ).

fof(f957,plain,
    ( e2 != op(e0,e0)
    | ~ spl0_20
    | spl0_73 ),
    inference(forward_demodulation,[status(thm)],[f311,f956]) ).

fof(f958,plain,
    ( e0 != op(e1,e3)
    | ~ spl0_61
    | spl0_70 ),
    inference(forward_demodulation,[status(thm)],[f444,f514]) ).

fof(f961,plain,
    ( e3 != op(e2,e0)
    | ~ spl0_3 ),
    inference(backward_demodulation,[status(thm)],[f255,f79]) ).

fof(f962,plain,
    ( e3 != op(e3,e0)
    | ~ spl0_3 ),
    inference(backward_demodulation,[status(thm)],[f255,f80]) ).

fof(f963,plain,
    ( ~ spl0_51
    | ~ spl0_3 ),
    inference(split_clause,[status(thm)],[f962,f410,f254]) ).

fof(f964,plain,
    ( e3 != op(e0,e1)
    | ~ spl0_3 ),
    inference(backward_demodulation,[status(thm)],[f255,f102]) ).

fof(f965,plain,
    ( e3 != op(e0,e2)
    | ~ spl0_3 ),
    inference(backward_demodulation,[status(thm)],[f255,f103]) ).

fof(f966,plain,
    ( ~ spl0_11
    | ~ spl0_3 ),
    inference(split_clause,[status(thm)],[f965,f280,f254]) ).

fof(f968,plain,
    ( e1 != op(e3,e0)
    | ~ spl0_3
    | spl0_81 ),
    inference(backward_demodulation,[status(thm)],[f255,f554]) ).

fof(f970,plain,
    ( e1 != op(e1,e3)
    | ~ spl0_17 ),
    inference(backward_demodulation,[status(thm)],[f301,f110]) ).

fof(f971,plain,
    ( ~ spl0_29
    | ~ spl0_17 ),
    inference(split_clause,[status(thm)],[f970,f339,f300]) ).

fof(f972,plain,
    ( e1 != op(e1,e2)
    | ~ spl0_17 ),
    inference(backward_demodulation,[status(thm)],[f301,f109]) ).

fof(f973,plain,
    ( ~ spl0_25
    | ~ spl0_17 ),
    inference(split_clause,[status(thm)],[f972,f326,f300]) ).

fof(f975,plain,
    ( e1 = op(e1,op(e3,e3))
    | ~ spl0_61
    | ~ spl0_71 ),
    inference(forward_demodulation,[status(thm)],[f444,f516]) ).

fof(f976,plain,
    ( e1 = op(e1,e1)
    | ~ spl0_61
    | ~ spl0_71 ),
    inference(forward_demodulation,[status(thm)],[f444,f975]) ).

fof(f977,plain,
    ( e1 = e0
    | ~ spl0_20
    | ~ spl0_61
    | ~ spl0_71 ),
    inference(forward_demodulation,[status(thm)],[f311,f976]) ).

fof(f978,plain,
    ( $false
    | ~ spl0_20
    | ~ spl0_61
    | ~ spl0_71 ),
    inference(forward_subsumption_resolution,[status(thm)],[f977,f126]) ).

fof(f979,plain,
    ( ~ spl0_20
    | ~ spl0_61
    | ~ spl0_71 ),
    inference(contradiction_clause,[status(thm)],[f978]) ).

fof(f981,plain,
    ( e3 != op(e1,e2)
    | ~ spl0_23 ),
    inference(backward_demodulation,[status(thm)],[f320,f111]) ).

fof(f982,plain,
    ( ~ spl0_27
    | ~ spl0_23 ),
    inference(split_clause,[status(thm)],[f981,f332,f319]) ).

fof(f984,plain,
    ( e0 = e3
    | ~ spl0_20
    | ~ spl0_23 ),
    inference(backward_demodulation,[status(thm)],[f311,f320]) ).

fof(f985,plain,
    ( $false
    | ~ spl0_20
    | ~ spl0_23 ),
    inference(forward_subsumption_resolution,[status(thm)],[f984,f128]) ).

fof(f986,plain,
    ( ~ spl0_20
    | ~ spl0_23 ),
    inference(contradiction_clause,[status(thm)],[f985]) ).

fof(f987,plain,
    ( e1 != op(e3,e3)
    | ~ spl0_29 ),
    inference(backward_demodulation,[status(thm)],[f340,f100]) ).

fof(f988,plain,
    ( ~ spl0_61
    | ~ spl0_29 ),
    inference(split_clause,[status(thm)],[f987,f443,f339]) ).

fof(f994,plain,
    ( ~ spl0_9
    | ~ spl0_5 ),
    inference(split_clause,[status(thm)],[f787,f274,f261]) ).

fof(f995,plain,
    ( ~ spl0_37
    | ~ spl0_5 ),
    inference(split_clause,[status(thm)],[f789,f365,f261]) ).

fof(f996,plain,
    ( e1 != op(e3,e3)
    | ~ spl0_49 ),
    inference(forward_demodulation,[status(thm)],[f405,f122]) ).

fof(f997,plain,
    ( ~ spl0_61
    | ~ spl0_49 ),
    inference(split_clause,[status(thm)],[f996,f443,f404]) ).

fof(f999,plain,
    ( e2 != op(e1,e1)
    | ~ spl0_18 ),
    inference(backward_demodulation,[status(thm)],[f304,f108]) ).

fof(f1000,plain,
    ( ~ spl0_22
    | ~ spl0_18 ),
    inference(split_clause,[status(thm)],[f999,f316,f303]) ).

fof(f1004,plain,
    ( ~ spl0_49
    | ~ spl0_3
    | spl0_81 ),
    inference(split_clause,[status(thm)],[f968,f404,f254,f552]) ).

fof(f1005,plain,
    ( e2 != op(op(e3,e3),e1)
    | ~ spl0_61
    | spl0_74 ),
    inference(backward_demodulation,[status(thm)],[f444,f528]) ).

fof(f1010,plain,
    ( e3 != op(e0,op(e1,e1))
    | ~ spl0_20
    | spl0_75 ),
    inference(forward_demodulation,[status(thm)],[f311,f532]) ).

fof(f1011,plain,
    ( e3 != op(e0,e0)
    | ~ spl0_20
    | spl0_75 ),
    inference(forward_demodulation,[status(thm)],[f311,f1010]) ).

fof(f1012,plain,
    ( ~ spl0_35
    | ~ spl0_3 ),
    inference(split_clause,[status(thm)],[f961,f358,f254]) ).

fof(f1013,plain,
    ( $false
    | ~ spl0_20
    | spl0_75
    | ~ spl0_3 ),
    inference(forward_subsumption_resolution,[status(thm)],[f255,f1011]) ).

fof(f1014,plain,
    ( ~ spl0_20
    | spl0_75
    | ~ spl0_3 ),
    inference(contradiction_clause,[status(thm)],[f1013]) ).

fof(f1018,plain,
    ( ~ spl0_13
    | ~ spl0_9 ),
    inference(split_clause,[status(thm)],[f767,f287,f274]) ).

fof(f1019,plain,
    ( ~ spl0_57
    | ~ spl0_9 ),
    inference(split_clause,[status(thm)],[f768,f430,f274]) ).

fof(f1020,plain,
    ( e1 = e2
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(backward_demodulation,[status(thm)],[f275,f278]) ).

fof(f1021,plain,
    ( $false
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(forward_subsumption_resolution,[status(thm)],[f1020,f129]) ).

fof(f1022,plain,
    ( ~ spl0_9
    | ~ spl0_10 ),
    inference(contradiction_clause,[status(thm)],[f1021]) ).

fof(f1025,plain,
    ( ~ spl0_43
    | ~ spl0_35 ),
    inference(split_clause,[status(thm)],[f861,f384,f358]) ).

fof(f1026,plain,
    ( e1 != op(op(e2,e2),e3)
    | ~ spl0_43
    | spl0_69 ),
    inference(backward_demodulation,[status(thm)],[f385,f510]) ).

fof(f1028,plain,
    ( e1 != op(e3,e2)
    | ~ spl0_43
    | spl0_77 ),
    inference(backward_demodulation,[status(thm)],[f385,f540]) ).

fof(f1029,plain,
    ( ~ spl0_57
    | ~ spl0_43
    | spl0_77 ),
    inference(split_clause,[status(thm)],[f1028,f430,f384,f538]) ).

fof(f1030,plain,
    ( e3 != op(e3,e2)
    | ~ spl0_43 ),
    inference(backward_demodulation,[status(thm)],[f385,f95]) ).

fof(f1031,plain,
    ( ~ spl0_59
    | ~ spl0_43 ),
    inference(split_clause,[status(thm)],[f1030,f436,f384]) ).

fof(f1036,plain,
    ( e2 = e3
    | ~ spl0_22
    | ~ spl0_23 ),
    inference(forward_demodulation,[status(thm)],[f317,f320]) ).

fof(f1037,plain,
    ( $false
    | ~ spl0_22
    | ~ spl0_23 ),
    inference(forward_subsumption_resolution,[status(thm)],[f1036,f131]) ).

fof(f1038,plain,
    ( ~ spl0_22
    | ~ spl0_23 ),
    inference(contradiction_clause,[status(thm)],[f1037]) ).

fof(f1039,plain,
    ( e2 != op(e3,e3)
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f343,f100]) ).

fof(f1040,plain,
    ( ~ spl0_62
    | ~ spl0_30 ),
    inference(split_clause,[status(thm)],[f1039,f446,f342]) ).

fof(f1041,plain,
    ( e1 != op(e3,e3)
    | ~ spl0_45 ),
    inference(backward_demodulation,[status(thm)],[f392,f101]) ).

fof(f1042,plain,
    ( ~ spl0_61
    | ~ spl0_45 ),
    inference(split_clause,[status(thm)],[f1041,f443,f391]) ).

fof(f1047,plain,
    ( ~ spl0_48
    | ~ spl0_32 ),
    inference(split_clause,[status(thm)],[f946,f401,f349]) ).

fof(f1048,plain,
    ( e0 != op(op(e3,e3),e1)
    | ~ spl0_61
    | spl0_80 ),
    inference(backward_demodulation,[status(thm)],[f444,f550]) ).

fof(f1052,plain,
    ( e2 != op(e1,e3)
    | ~ spl0_61
    | spl0_86 ),
    inference(backward_demodulation,[status(thm)],[f444,f574]) ).

fof(f1053,plain,
    ( ~ spl0_30
    | ~ spl0_61
    | spl0_86 ),
    inference(split_clause,[status(thm)],[f1052,f342,f443,f572]) ).

fof(f1055,plain,
    ( e1 = e2
    | ~ spl0_61
    | ~ spl0_62 ),
    inference(forward_demodulation,[status(thm)],[f444,f447]) ).

fof(f1056,plain,
    ( $false
    | ~ spl0_61
    | ~ spl0_62 ),
    inference(forward_subsumption_resolution,[status(thm)],[f1055,f129]) ).

fof(f1057,plain,
    ( ~ spl0_61
    | ~ spl0_62 ),
    inference(contradiction_clause,[status(thm)],[f1056]) ).

fof(f1063,plain,
    ( e0 = e2
    | ~ spl0_12
    | ~ spl0_14 ),
    inference(backward_demodulation,[status(thm)],[f285,f291]) ).

fof(f1064,plain,
    ( $false
    | ~ spl0_12
    | ~ spl0_14 ),
    inference(forward_subsumption_resolution,[status(thm)],[f1063,f127]) ).

fof(f1065,plain,
    ( ~ spl0_12
    | ~ spl0_14 ),
    inference(contradiction_clause,[status(thm)],[f1064]) ).

fof(f1069,plain,
    ( ~ spl0_7
    | ~ spl0_3 ),
    inference(split_clause,[status(thm)],[f964,f267,f254]) ).

fof(f1070,plain,
    ( e1 != op(e3,e3)
    | ~ spl0_53 ),
    inference(backward_demodulation,[status(thm)],[f418,f124]) ).

fof(f1071,plain,
    ( ~ spl0_61
    | ~ spl0_53 ),
    inference(split_clause,[status(thm)],[f1070,f443,f417]) ).

fof(f1074,plain,
    ( e2 != op(op(e0,e0),e3)
    | ~ spl0_3
    | spl0_82 ),
    inference(backward_demodulation,[status(thm)],[f255,f557]) ).

fof(f1075,plain,
    ( e2 != op(e3,e0)
    | ~ spl0_3
    | spl0_87 ),
    inference(backward_demodulation,[status(thm)],[f255,f578]) ).

fof(f1076,plain,
    ( ~ spl0_50
    | ~ spl0_3
    | spl0_87 ),
    inference(split_clause,[status(thm)],[f1075,f407,f254,f576]) ).

fof(f1081,plain,
    ( e2 != op(e2,e2)
    | ~ spl0_26 ),
    inference(backward_demodulation,[status(thm)],[f330,f93]) ).

fof(f1082,plain,
    ( ~ spl0_42
    | ~ spl0_26 ),
    inference(split_clause,[status(thm)],[f1081,f381,f329]) ).

fof(f1083,plain,
    ( e2 != op(e3,e2)
    | ~ spl0_26 ),
    inference(backward_demodulation,[status(thm)],[f330,f94]) ).

fof(f1085,plain,
    ( ~ spl0_36
    | ~ spl0_4 ),
    inference(split_clause,[status(thm)],[f870,f362,f258]) ).

fof(f1086,plain,
    ( e0 = e2
    | ~ spl0_40
    | ~ spl0_42 ),
    inference(forward_demodulation,[status(thm)],[f376,f382]) ).

fof(f1087,plain,
    ( $false
    | ~ spl0_40
    | ~ spl0_42 ),
    inference(forward_subsumption_resolution,[status(thm)],[f1086,f127]) ).

fof(f1088,plain,
    ( ~ spl0_40
    | ~ spl0_42 ),
    inference(contradiction_clause,[status(thm)],[f1087]) ).

fof(f1089,plain,
    ( ~ spl0_49
    | ~ spl0_33 ),
    inference(split_clause,[status(thm)],[f765,f404,f352]) ).

fof(f1090,plain,
    ( e2 != op(op(e3,e3),e0)
    | ~ spl0_60
    | spl0_74 ),
    inference(backward_demodulation,[status(thm)],[f441,f528]) ).

fof(f1091,plain,
    ( e3 != op(e2,e0)
    | ~ spl0_2
    | spl0_91 ),
    inference(backward_demodulation,[status(thm)],[f252,f596]) ).

fof(f1092,plain,
    ( ~ spl0_35
    | ~ spl0_2
    | spl0_91 ),
    inference(split_clause,[status(thm)],[f1091,f358,f251,f594]) ).

fof(f1098,plain,
    ( e0 = e3
    | ~ spl0_56
    | ~ spl0_59 ),
    inference(forward_demodulation,[status(thm)],[f428,f437]) ).

fof(f1099,plain,
    ( $false
    | ~ spl0_56
    | ~ spl0_59 ),
    inference(forward_subsumption_resolution,[status(thm)],[f1098,f128]) ).

fof(f1100,plain,
    ( ~ spl0_56
    | ~ spl0_59 ),
    inference(contradiction_clause,[status(thm)],[f1099]) ).

fof(f1101,plain,
    ( e1 != op(e3,e1)
    | ~ spl0_49 ),
    inference(backward_demodulation,[status(thm)],[f405,f120]) ).

fof(f1102,plain,
    ( ~ spl0_53
    | ~ spl0_49 ),
    inference(split_clause,[status(thm)],[f1101,f417,f404]) ).

fof(f1105,plain,
    ( e2 != op(e0,e3)
    | ~ spl0_60
    | spl0_86 ),
    inference(backward_demodulation,[status(thm)],[f441,f574]) ).

fof(f1106,plain,
    ( ~ spl0_14
    | ~ spl0_60
    | spl0_86 ),
    inference(split_clause,[status(thm)],[f1105,f290,f440,f572]) ).

fof(f1110,plain,
    ( e1 != op(e0,e3)
    | ~ spl0_1 ),
    inference(backward_demodulation,[status(thm)],[f249,f104]) ).

fof(f1111,plain,
    ( e1 != op(e0,e2)
    | ~ spl0_1 ),
    inference(backward_demodulation,[status(thm)],[f249,f103]) ).

fof(f1112,plain,
    ( ~ spl0_9
    | ~ spl0_1 ),
    inference(split_clause,[status(thm)],[f1111,f274,f248]) ).

fof(f1114,plain,
    ( e1 != op(e3,e0)
    | ~ spl0_1 ),
    inference(backward_demodulation,[status(thm)],[f249,f80]) ).

fof(f1115,plain,
    ( ~ spl0_49
    | ~ spl0_1 ),
    inference(split_clause,[status(thm)],[f1114,f404,f248]) ).

fof(f1117,plain,
    ( e1 != op(e1,e0)
    | ~ spl0_1 ),
    inference(backward_demodulation,[status(thm)],[f249,f78]) ).

fof(f1118,plain,
    ( ~ spl0_17
    | ~ spl0_1 ),
    inference(split_clause,[status(thm)],[f1117,f300,f248]) ).

fof(f1119,plain,
    ( e2 != op(e0,e3)
    | ~ spl0_2 ),
    inference(backward_demodulation,[status(thm)],[f252,f104]) ).

fof(f1120,plain,
    ( ~ spl0_14
    | ~ spl0_2 ),
    inference(split_clause,[status(thm)],[f1119,f290,f251]) ).

fof(f1121,plain,
    ( e2 != op(e0,e1)
    | ~ spl0_2 ),
    inference(backward_demodulation,[status(thm)],[f252,f102]) ).

fof(f1125,plain,
    ( e1 = e2
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[status(thm)],[f249,f252]) ).

fof(f1126,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_subsumption_resolution,[status(thm)],[f1125,f129]) ).

fof(f1127,plain,
    ( ~ spl0_1
    | ~ spl0_2 ),
    inference(contradiction_clause,[status(thm)],[f1126]) ).

fof(f1137,plain,
    ( e2 = e3
    | ~ spl0_42
    | ~ spl0_43 ),
    inference(backward_demodulation,[status(thm)],[f382,f385]) ).

fof(f1138,plain,
    ( $false
    | ~ spl0_42
    | ~ spl0_43 ),
    inference(forward_subsumption_resolution,[status(thm)],[f1137,f131]) ).

fof(f1139,plain,
    ( ~ spl0_42
    | ~ spl0_43 ),
    inference(contradiction_clause,[status(thm)],[f1138]) ).

fof(f1140,plain,
    ( ~ spl0_47
    | ~ spl0_31 ),
    inference(split_clause,[status(thm)],[f653,f397,f345]) ).

fof(f1141,plain,
    ( e3 != op(e3,e3)
    | ~ spl0_31 ),
    inference(backward_demodulation,[status(thm)],[f346,f100]) ).

fof(f1142,plain,
    ( e0 = e3
    | ~ spl0_0
    | ~ spl0_3 ),
    inference(backward_demodulation,[status(thm)],[f246,f255]) ).

fof(f1143,plain,
    ( $false
    | ~ spl0_0
    | ~ spl0_3 ),
    inference(forward_subsumption_resolution,[status(thm)],[f1142,f128]) ).

fof(f1144,plain,
    ( ~ spl0_0
    | ~ spl0_3 ),
    inference(contradiction_clause,[status(thm)],[f1143]) ).

fof(f1145,plain,
    ( e0 != op(e2,e3)
    | ~ spl0_40 ),
    inference(backward_demodulation,[status(thm)],[f376,f119]) ).

fof(f1150,plain,
    ( e3 != op(e0,op(e2,e2))
    | ~ spl0_40
    | spl0_76 ),
    inference(forward_demodulation,[status(thm)],[f376,f536]) ).

fof(f1151,plain,
    ( e3 != op(e0,e0)
    | ~ spl0_40
    | spl0_76 ),
    inference(forward_demodulation,[status(thm)],[f376,f1150]) ).

fof(f1154,plain,
    ( e0 != op(e0,e2)
    | ~ spl0_4 ),
    inference(backward_demodulation,[status(thm)],[f259,f105]) ).

fof(f1155,plain,
    ( e0 != op(e0,e3)
    | ~ spl0_4 ),
    inference(backward_demodulation,[status(thm)],[f259,f106]) ).

fof(f1157,plain,
    ( e1 != op(e3,e2)
    | ~ spl0_53 ),
    inference(backward_demodulation,[status(thm)],[f418,f123]) ).

fof(f1158,plain,
    ( ~ spl0_57
    | ~ spl0_53 ),
    inference(split_clause,[status(thm)],[f1157,f430,f417]) ).

fof(f1162,plain,
    ( ~ spl0_13
    | ~ spl0_1 ),
    inference(split_clause,[status(thm)],[f1110,f287,f248]) ).

fof(f1165,plain,
    ( e0 = e1
    | ~ spl0_0
    | ~ spl0_1 ),
    inference(forward_demodulation,[status(thm)],[f246,f249]) ).

fof(f1166,plain,
    ( $false
    | ~ spl0_0
    | ~ spl0_1 ),
    inference(forward_subsumption_resolution,[status(thm)],[f1165,f126]) ).

fof(f1167,plain,
    ( ~ spl0_0
    | ~ spl0_1 ),
    inference(contradiction_clause,[status(thm)],[f1166]) ).

fof(f1168,plain,
    ( ~ spl0_54
    | ~ spl0_23
    | spl0_84 ),
    inference(split_clause,[status(thm)],[f899,f420,f319,f565]) ).

fof(f1170,plain,
    ( ~ spl0_52
    | ~ spl0_23
    | spl0_72 ),
    inference(split_clause,[status(thm)],[f896,f414,f319,f519]) ).

fof(f1172,plain,
    ( e2 != op(e2,e3)
    | ~ spl0_38 ),
    inference(backward_demodulation,[status(thm)],[f369,f118]) ).

fof(f1173,plain,
    ( ~ spl0_46
    | ~ spl0_38 ),
    inference(split_clause,[status(thm)],[f1172,f394,f368]) ).

fof(f1174,plain,
    ( e2 != op(e3,e1)
    | ~ spl0_38 ),
    inference(backward_demodulation,[status(thm)],[f369,f89]) ).

fof(f1175,plain,
    ( ~ spl0_54
    | ~ spl0_38 ),
    inference(split_clause,[status(thm)],[f1174,f420,f368]) ).

fof(f1176,plain,
    ( e0 != op(e2,e0)
    | ~ spl0_16 ),
    inference(backward_demodulation,[status(thm)],[f298,f81]) ).

fof(f1177,plain,
    ( ~ spl0_32
    | ~ spl0_16 ),
    inference(split_clause,[status(thm)],[f1176,f349,f297]) ).

fof(f1178,plain,
    ( e0 != op(e3,e0)
    | ~ spl0_16 ),
    inference(backward_demodulation,[status(thm)],[f298,f82]) ).

fof(f1179,plain,
    ( e0 != op(e1,e3)
    | ~ spl0_16 ),
    inference(backward_demodulation,[status(thm)],[f298,f110]) ).

fof(f1181,plain,
    ( e2 != op(e0,e0)
    | ~ spl0_60
    | spl0_74 ),
    inference(backward_demodulation,[status(thm)],[f441,f1090]) ).

fof(f1182,plain,
    ( ~ spl0_2
    | ~ spl0_60
    | spl0_74 ),
    inference(split_clause,[status(thm)],[f1181,f251,f440,f526]) ).

fof(f1187,plain,
    ( e1 != op(e1,e1)
    | ~ spl0_5 ),
    inference(backward_demodulation,[status(thm)],[f262,f84]) ).

fof(f1188,plain,
    ( e1 != op(op(e3,e3),e0)
    | ~ spl0_60
    | spl0_71 ),
    inference(backward_demodulation,[status(thm)],[f441,f517]) ).

fof(f1194,plain,
    ( e0 = e2
    | ~ spl0_52
    | ~ spl0_54 ),
    inference(forward_demodulation,[status(thm)],[f415,f421]) ).

fof(f1195,plain,
    ( $false
    | ~ spl0_52
    | ~ spl0_54 ),
    inference(forward_subsumption_resolution,[status(thm)],[f1194,f127]) ).

fof(f1196,plain,
    ( ~ spl0_52
    | ~ spl0_54 ),
    inference(contradiction_clause,[status(thm)],[f1195]) ).

fof(f1203,plain,
    ( e1 != op(e2,e3)
    | ~ spl0_41 ),
    inference(backward_demodulation,[status(thm)],[f379,f119]) ).

fof(f1204,plain,
    ( ~ spl0_45
    | ~ spl0_41 ),
    inference(split_clause,[status(thm)],[f1203,f391,f378]) ).

fof(f1206,plain,
    ( ~ spl0_40
    | ~ spl0_62
    | spl0_80 ),
    inference(split_clause,[status(thm)],[f835,f375,f446,f548]) ).

fof(f1207,plain,
    ( e2 != op(e3,op(e1,e1))
    | ~ spl0_23
    | spl0_73 ),
    inference(forward_demodulation,[status(thm)],[f320,f524]) ).

fof(f1208,plain,
    ( e2 != op(e3,e3)
    | ~ spl0_23
    | spl0_73 ),
    inference(forward_demodulation,[status(thm)],[f320,f1207]) ).

fof(f1220,plain,
    ( ~ spl0_12
    | ~ spl0_4 ),
    inference(split_clause,[status(thm)],[f1155,f284,f258]) ).

fof(f1227,plain,
    ( $false
    | ~ spl0_23
    | spl0_73
    | ~ spl0_62 ),
    inference(forward_subsumption_resolution,[status(thm)],[f447,f1208]) ).

fof(f1228,plain,
    ( ~ spl0_23
    | spl0_73
    | ~ spl0_62 ),
    inference(contradiction_clause,[status(thm)],[f1227]) ).

fof(f1236,plain,
    ( e3 != op(e3,e1)
    | ~ spl0_7 ),
    inference(backward_demodulation,[status(thm)],[f268,f86]) ).

fof(f1237,plain,
    ( ~ spl0_55
    | ~ spl0_7 ),
    inference(split_clause,[status(thm)],[f1236,f423,f267]) ).

fof(f1247,plain,
    ( e2 != op(e1,e3)
    | ~ spl0_22 ),
    inference(backward_demodulation,[status(thm)],[f317,f112]) ).

fof(f1248,plain,
    ( ~ spl0_30
    | ~ spl0_22 ),
    inference(split_clause,[status(thm)],[f1247,f342,f316]) ).

fof(f1250,plain,
    ( e2 != op(e2,e1)
    | ~ spl0_22 ),
    inference(backward_demodulation,[status(thm)],[f317,f87]) ).

fof(f1251,plain,
    ( ~ spl0_38
    | ~ spl0_22 ),
    inference(split_clause,[status(thm)],[f1250,f368,f316]) ).

fof(f1252,plain,
    ( e1 != op(e2,e1)
    | ~ spl0_33 ),
    inference(backward_demodulation,[status(thm)],[f353,f114]) ).

fof(f1253,plain,
    ( ~ spl0_37
    | ~ spl0_33 ),
    inference(split_clause,[status(thm)],[f1252,f365,f352]) ).

fof(f1256,plain,
    ( e3 != op(op(e0,e0),e2)
    | ~ spl0_2
    | spl0_83 ),
    inference(backward_demodulation,[status(thm)],[f252,f562]) ).

fof(f1257,plain,
    ( e1 != op(op(e0,e0),e2)
    | ~ spl0_2
    | spl0_88 ),
    inference(backward_demodulation,[status(thm)],[f252,f581]) ).

fof(f1259,plain,
    ( e1 != op(e3,e3)
    | ~ spl0_43
    | spl0_69 ),
    inference(forward_demodulation,[status(thm)],[f385,f1026]) ).

fof(f1260,plain,
    ( e3 != op(e2,op(e1,e1))
    | ~ spl0_22
    | spl0_75 ),
    inference(forward_demodulation,[status(thm)],[f317,f532]) ).

fof(f1261,plain,
    ( e3 != op(e2,e2)
    | ~ spl0_22
    | spl0_75 ),
    inference(forward_demodulation,[status(thm)],[f317,f1260]) ).

fof(f1262,plain,
    ( $false
    | ~ spl0_43
    | ~ spl0_22
    | spl0_75 ),
    inference(forward_subsumption_resolution,[status(thm)],[f1261,f385]) ).

fof(f1263,plain,
    ( ~ spl0_43
    | ~ spl0_22
    | spl0_75 ),
    inference(contradiction_clause,[status(thm)],[f1262]) ).

fof(f1271,plain,
    ( e0 != op(e3,op(e2,e2))
    | ~ spl0_43
    | spl0_78 ),
    inference(forward_demodulation,[status(thm)],[f385,f543]) ).

fof(f1273,plain,
    ( e0 != op(e2,e2)
    | ~ spl0_8 ),
    inference(backward_demodulation,[status(thm)],[f272,f91]) ).

fof(f1274,plain,
    ( ~ spl0_40
    | ~ spl0_8 ),
    inference(split_clause,[status(thm)],[f1273,f375,f271]) ).

fof(f1275,plain,
    ( e0 != op(e0,e3)
    | ~ spl0_8 ),
    inference(backward_demodulation,[status(thm)],[f272,f107]) ).

fof(f1278,plain,
    ( ~ spl0_48
    | ~ spl0_16 ),
    inference(split_clause,[status(thm)],[f1178,f401,f297]) ).

fof(f1279,plain,
    ( ~ spl0_28
    | ~ spl0_16 ),
    inference(split_clause,[status(thm)],[f1179,f336,f297]) ).

fof(f1280,plain,
    ( e0 = e3
    | ~ spl0_16
    | ~ spl0_19 ),
    inference(forward_demodulation,[status(thm)],[f298,f307]) ).

fof(f1281,plain,
    ( $false
    | ~ spl0_16
    | ~ spl0_19 ),
    inference(forward_subsumption_resolution,[status(thm)],[f1280,f128]) ).

fof(f1282,plain,
    ( ~ spl0_16
    | ~ spl0_19 ),
    inference(contradiction_clause,[status(thm)],[f1281]) ).

fof(f1283,plain,
    ( e3 != op(e3,e3)
    | ~ spl0_55 ),
    inference(backward_demodulation,[status(thm)],[f424,f124]) ).

fof(f1286,plain,
    ( e0 != op(e3,e1)
    | ~ spl0_48 ),
    inference(backward_demodulation,[status(thm)],[f402,f120]) ).

fof(f1287,plain,
    ( ~ spl0_52
    | ~ spl0_48 ),
    inference(split_clause,[status(thm)],[f1286,f414,f401]) ).

fof(f1288,plain,
    ( e2 != op(e3,e3)
    | ~ spl0_3
    | spl0_82 ),
    inference(forward_demodulation,[status(thm)],[f255,f1074]) ).

fof(f1289,plain,
    ( ~ spl0_62
    | ~ spl0_3
    | spl0_82 ),
    inference(split_clause,[status(thm)],[f1288,f446,f254,f555]) ).

fof(f1292,plain,
    ( ~ spl0_21
    | ~ spl0_5 ),
    inference(split_clause,[status(thm)],[f1187,f313,f261]) ).

fof(f1296,plain,
    ( ~ spl0_3
    | ~ spl0_40
    | spl0_76 ),
    inference(split_clause,[status(thm)],[f1151,f254,f375,f534]) ).

fof(f1297,plain,
    ( ~ spl0_44
    | ~ spl0_40 ),
    inference(split_clause,[status(thm)],[f1145,f388,f375]) ).

fof(f1304,plain,
    ( e3 != op(op(e0,e0),e3)
    | ~ spl0_3
    | spl0_83 ),
    inference(backward_demodulation,[status(thm)],[f255,f562]) ).

fof(f1308,plain,
    ( e1 != op(e0,e1)
    | ~ spl0_1 ),
    inference(backward_demodulation,[status(thm)],[f249,f102]) ).

fof(f1309,plain,
    ( ~ spl0_5
    | ~ spl0_1 ),
    inference(split_clause,[status(thm)],[f1308,f261,f248]) ).

fof(f1311,plain,
    ( e1 != op(e2,e0)
    | ~ spl0_1 ),
    inference(backward_demodulation,[status(thm)],[f249,f79]) ).

fof(f1312,plain,
    ( ~ spl0_33
    | ~ spl0_1 ),
    inference(split_clause,[status(thm)],[f1311,f352,f248]) ).

fof(f1336,plain,
    ( e0 != op(e3,e3)
    | ~ spl0_43
    | spl0_78 ),
    inference(forward_demodulation,[status(thm)],[f385,f1271]) ).

fof(f1337,plain,
    ( ~ spl0_60
    | ~ spl0_43
    | spl0_78 ),
    inference(split_clause,[status(thm)],[f1336,f440,f384,f541]) ).

fof(f1350,plain,
    ( e1 != op(e0,e0)
    | ~ spl0_60
    | spl0_71 ),
    inference(backward_demodulation,[status(thm)],[f441,f1188]) ).

fof(f1351,plain,
    ( ~ spl0_1
    | ~ spl0_60
    | spl0_71 ),
    inference(split_clause,[status(thm)],[f1350,f248,f440,f515]) ).

fof(f1357,plain,
    ( e2 != op(e2,e3)
    | ~ spl0_34 ),
    inference(backward_demodulation,[status(thm)],[f356,f116]) ).

fof(f1358,plain,
    ( ~ spl0_46
    | ~ spl0_34 ),
    inference(split_clause,[status(thm)],[f1357,f394,f355]) ).

fof(f1361,plain,
    ( e0 != op(e2,e2)
    | ~ spl0_24 ),
    inference(backward_demodulation,[status(thm)],[f324,f93]) ).

fof(f1362,plain,
    ( ~ spl0_40
    | ~ spl0_24 ),
    inference(split_clause,[status(thm)],[f1361,f375,f323]) ).

fof(f1364,plain,
    ( e0 != op(e1,e3)
    | ~ spl0_24 ),
    inference(backward_demodulation,[status(thm)],[f324,f113]) ).

fof(f1365,plain,
    ( ~ spl0_28
    | ~ spl0_24 ),
    inference(split_clause,[status(thm)],[f1364,f336,f323]) ).

fof(f1367,plain,
    ( e2 != op(e2,e3)
    | ~ spl0_14 ),
    inference(backward_demodulation,[status(thm)],[f291,f97]) ).

fof(f1368,plain,
    ( ~ spl0_46
    | ~ spl0_14 ),
    inference(split_clause,[status(thm)],[f1367,f394,f290]) ).

fof(f1372,plain,
    ( ~ spl0_28
    | ~ spl0_61
    | spl0_70 ),
    inference(split_clause,[status(thm)],[f958,f336,f443,f512]) ).

fof(f1377,plain,
    ( ~ spl0_61
    | ~ spl0_43
    | spl0_69 ),
    inference(split_clause,[status(thm)],[f1259,f443,f384,f508]) ).

fof(f1381,plain,
    ( e2 != op(e2,e1)
    | ~ spl0_34 ),
    inference(backward_demodulation,[status(thm)],[f356,f114]) ).

fof(f1382,plain,
    ( ~ spl0_38
    | ~ spl0_34 ),
    inference(split_clause,[status(thm)],[f1381,f368,f355]) ).

fof(f1385,plain,
    ( e3 != op(e3,e3)
    | ~ spl0_3
    | spl0_83 ),
    inference(forward_demodulation,[status(thm)],[f255,f1304]) ).

fof(f1386,plain,
    ( ~ spl0_63
    | ~ spl0_3
    | spl0_83 ),
    inference(split_clause,[status(thm)],[f1385,f449,f254,f560]) ).

fof(f1387,plain,
    ( e3 != op(e2,e2)
    | ~ spl0_2
    | spl0_83 ),
    inference(backward_demodulation,[status(thm)],[f252,f1256]) ).

fof(f1390,plain,
    ( e1 != op(e2,e2)
    | ~ spl0_2
    | spl0_88 ),
    inference(backward_demodulation,[status(thm)],[f252,f1257]) ).

fof(f1391,plain,
    ( ~ spl0_41
    | ~ spl0_2
    | spl0_88 ),
    inference(split_clause,[status(thm)],[f1390,f378,f251,f579]) ).

fof(f1394,plain,
    ( ~ spl0_63
    | ~ spl0_55 ),
    inference(split_clause,[status(thm)],[f1283,f449,f423]) ).

fof(f1397,plain,
    ( e1 = e2
    | ~ spl0_37
    | ~ spl0_38 ),
    inference(forward_demodulation,[status(thm)],[f366,f369]) ).

fof(f1398,plain,
    ( $false
    | ~ spl0_37
    | ~ spl0_38 ),
    inference(forward_subsumption_resolution,[status(thm)],[f1397,f129]) ).

fof(f1399,plain,
    ( ~ spl0_37
    | ~ spl0_38 ),
    inference(contradiction_clause,[status(thm)],[f1398]) ).

fof(f1405,plain,
    ( e3 != op(e1,e3)
    | ~ spl0_19 ),
    inference(backward_demodulation,[status(thm)],[f307,f110]) ).

fof(f1406,plain,
    ( e3 != op(e1,e2)
    | ~ spl0_19 ),
    inference(backward_demodulation,[status(thm)],[f307,f109]) ).

fof(f1408,plain,
    ( e2 != op(e1,e1)
    | ~ spl0_61
    | spl0_74 ),
    inference(forward_demodulation,[status(thm)],[f444,f1005]) ).

fof(f1409,plain,
    ( ~ spl0_22
    | ~ spl0_61
    | spl0_74 ),
    inference(split_clause,[status(thm)],[f1408,f316,f443,f526]) ).

fof(f1410,plain,
    ( e0 != op(e1,e1)
    | ~ spl0_61
    | spl0_80 ),
    inference(backward_demodulation,[status(thm)],[f444,f1048]) ).

fof(f1411,plain,
    ( e0 != op(e3,e2)
    | ~ spl0_52 ),
    inference(backward_demodulation,[status(thm)],[f415,f123]) ).

fof(f1413,plain,
    ( e0 = e3
    | ~ spl0_52
    | ~ spl0_55 ),
    inference(backward_demodulation,[status(thm)],[f415,f424]) ).

fof(f1414,plain,
    ( $false
    | ~ spl0_52
    | ~ spl0_55 ),
    inference(forward_subsumption_resolution,[status(thm)],[f1413,f128]) ).

fof(f1415,plain,
    ( ~ spl0_52
    | ~ spl0_55 ),
    inference(contradiction_clause,[status(thm)],[f1414]) ).

fof(f1416,plain,
    ( e3 != op(e2,e1)
    | ~ spl0_22
    | spl0_89 ),
    inference(backward_demodulation,[status(thm)],[f317,f588]) ).

fof(f1417,plain,
    ( ~ spl0_39
    | ~ spl0_22
    | spl0_89 ),
    inference(split_clause,[status(thm)],[f1416,f371,f316,f586]) ).

fof(f1424,plain,
    ( e0 = e3
    | ~ spl0_40
    | ~ spl0_43 ),
    inference(forward_demodulation,[status(thm)],[f376,f385]) ).

fof(f1425,plain,
    ( $false
    | ~ spl0_40
    | ~ spl0_43 ),
    inference(forward_subsumption_resolution,[status(thm)],[f1424,f128]) ).

fof(f1426,plain,
    ( ~ spl0_40
    | ~ spl0_43 ),
    inference(contradiction_clause,[status(thm)],[f1425]) ).

fof(f1435,plain,
    ( ~ spl0_8
    | ~ spl0_4 ),
    inference(split_clause,[status(thm)],[f1154,f271,f258]) ).

fof(f1437,plain,
    ( e0 != op(e3,e3)
    | ~ spl0_28 ),
    inference(backward_demodulation,[status(thm)],[f337,f100]) ).

fof(f1438,plain,
    ( ~ spl0_60
    | ~ spl0_28 ),
    inference(split_clause,[status(thm)],[f1437,f440,f336]) ).

fof(f1442,plain,
    ( e0 != op(e2,op(e1,e1))
    | ~ spl0_22
    | spl0_85 ),
    inference(forward_demodulation,[status(thm)],[f317,f570]) ).

fof(f1443,plain,
    ( e0 != op(e2,e2)
    | ~ spl0_22
    | spl0_85 ),
    inference(forward_demodulation,[status(thm)],[f317,f1442]) ).

fof(f1444,plain,
    ( e1 = e2
    | ~ spl0_45
    | ~ spl0_46 ),
    inference(forward_demodulation,[status(thm)],[f392,f395]) ).

fof(f1445,plain,
    ( $false
    | ~ spl0_45
    | ~ spl0_46 ),
    inference(forward_subsumption_resolution,[status(thm)],[f1444,f129]) ).

fof(f1446,plain,
    ( ~ spl0_45
    | ~ spl0_46 ),
    inference(contradiction_clause,[status(thm)],[f1445]) ).

fof(f1448,plain,
    ( ~ spl0_29
    | ~ spl0_21 ),
    inference(split_clause,[status(thm)],[f792,f339,f313]) ).

fof(f1449,plain,
    ( ~ spl0_25
    | ~ spl0_21 ),
    inference(split_clause,[status(thm)],[f793,f326,f313]) ).

fof(f1455,plain,
    ( e1 = e2
    | ~ spl0_29
    | ~ spl0_30 ),
    inference(backward_demodulation,[status(thm)],[f340,f343]) ).

fof(f1456,plain,
    ( $false
    | ~ spl0_29
    | ~ spl0_30 ),
    inference(forward_subsumption_resolution,[status(thm)],[f1455,f129]) ).

fof(f1457,plain,
    ( ~ spl0_29
    | ~ spl0_30 ),
    inference(contradiction_clause,[status(thm)],[f1456]) ).

fof(f1473,plain,
    ( e1 != op(e2,e2)
    | ~ spl0_37 ),
    inference(backward_demodulation,[status(thm)],[f366,f117]) ).

fof(f1474,plain,
    ( ~ spl0_41
    | ~ spl0_37 ),
    inference(split_clause,[status(thm)],[f1473,f378,f365]) ).

fof(f1475,plain,
    ( e1 != op(e3,e1)
    | ~ spl0_37 ),
    inference(backward_demodulation,[status(thm)],[f366,f89]) ).

fof(f1476,plain,
    ( ~ spl0_53
    | ~ spl0_37 ),
    inference(split_clause,[status(thm)],[f1475,f417,f365]) ).

fof(f1484,plain,
    ( e0 = e1
    | ~ spl0_40
    | ~ spl0_41 ),
    inference(backward_demodulation,[status(thm)],[f376,f379]) ).

fof(f1485,plain,
    ( $false
    | ~ spl0_40
    | ~ spl0_41 ),
    inference(forward_subsumption_resolution,[status(thm)],[f1484,f126]) ).

fof(f1486,plain,
    ( ~ spl0_40
    | ~ spl0_41 ),
    inference(contradiction_clause,[status(thm)],[f1485]) ).

fof(f1489,plain,
    ( ~ spl0_31
    | ~ spl0_19 ),
    inference(split_clause,[status(thm)],[f1405,f345,f306]) ).

fof(f1492,plain,
    ( e3 != op(e2,e2)
    | ~ spl0_39 ),
    inference(backward_demodulation,[status(thm)],[f372,f117]) ).

fof(f1493,plain,
    ( ~ spl0_43
    | ~ spl0_39 ),
    inference(split_clause,[status(thm)],[f1492,f384,f371]) ).

fof(f1501,plain,
    ( ~ spl0_20
    | ~ spl0_61
    | spl0_80 ),
    inference(split_clause,[status(thm)],[f1410,f310,f443,f548]) ).

fof(f1503,plain,
    ( e3 != op(e0,e3)
    | ~ spl0_7 ),
    inference(backward_demodulation,[status(thm)],[f268,f106]) ).

fof(f1504,plain,
    ( ~ spl0_15
    | ~ spl0_7 ),
    inference(split_clause,[status(thm)],[f1503,f293,f267]) ).

fof(f1508,plain,
    ( ~ spl0_56
    | ~ spl0_52 ),
    inference(split_clause,[status(thm)],[f1411,f427,f414]) ).

fof(f1516,plain,
    ( ~ spl0_40
    | ~ spl0_22
    | spl0_85 ),
    inference(split_clause,[status(thm)],[f1443,f375,f316,f568]) ).

fof(f1519,plain,
    ( e2 != op(e0,e3)
    | ~ spl0_10 ),
    inference(backward_demodulation,[status(thm)],[f278,f107]) ).

fof(f1520,plain,
    ( ~ spl0_14
    | ~ spl0_10 ),
    inference(split_clause,[status(thm)],[f1519,f290,f277]) ).

fof(f1521,plain,
    ( e2 != op(e3,e2)
    | ~ spl0_10 ),
    inference(backward_demodulation,[status(thm)],[f278,f92]) ).

fof(f1522,plain,
    ( ~ spl0_58
    | ~ spl0_10 ),
    inference(split_clause,[status(thm)],[f1521,f433,f277]) ).

fof(f1525,plain,
    ( e2 != op(e1,e1)
    | ~ spl0_1
    | spl0_82 ),
    inference(backward_demodulation,[status(thm)],[f249,f873]) ).

fof(f1526,plain,
    ( ~ spl0_22
    | ~ spl0_1
    | spl0_82 ),
    inference(split_clause,[status(thm)],[f1525,f316,f248,f555]) ).

fof(f1528,plain,
    ( ~ spl0_27
    | ~ spl0_19 ),
    inference(split_clause,[status(thm)],[f1406,f332,f306]) ).

fof(f1529,plain,
    ( e1 = e3
    | ~ spl0_25
    | ~ spl0_27 ),
    inference(forward_demodulation,[status(thm)],[f327,f333]) ).

fof(f1530,plain,
    ( $false
    | ~ spl0_25
    | ~ spl0_27 ),
    inference(forward_subsumption_resolution,[status(thm)],[f1529,f130]) ).

fof(f1531,plain,
    ( ~ spl0_25
    | ~ spl0_27 ),
    inference(contradiction_clause,[status(thm)],[f1530]) ).

fof(f1532,plain,
    ( ~ spl0_63
    | ~ spl0_31 ),
    inference(split_clause,[status(thm)],[f1141,f449,f345]) ).

fof(f1537,plain,
    ( e1 != op(op(e3,e3),e3)
    | ~ spl0_63
    | spl0_71 ),
    inference(backward_demodulation,[status(thm)],[f450,f517]) ).

fof(f1538,plain,
    ( e1 != op(e3,e3)
    | ~ spl0_63
    | spl0_71 ),
    inference(forward_demodulation,[status(thm)],[f450,f1537]) ).

fof(f1540,plain,
    ( ~ spl0_43
    | ~ spl0_2
    | spl0_83 ),
    inference(split_clause,[status(thm)],[f1387,f384,f251,f560]) ).

fof(f1541,plain,
    ( e2 != op(e1,e2)
    | ~ spl0_22 ),
    inference(forward_demodulation,[status(thm)],[f317,f111]) ).

fof(f1542,plain,
    ( ~ spl0_26
    | ~ spl0_22 ),
    inference(split_clause,[status(thm)],[f1541,f329,f316]) ).

fof(f1544,plain,
    ( e2 != op(e3,e1)
    | ~ spl0_22 ),
    inference(forward_demodulation,[status(thm)],[f317,f88]) ).

fof(f1545,plain,
    ( ~ spl0_54
    | ~ spl0_22 ),
    inference(split_clause,[status(thm)],[f1544,f420,f316]) ).

fof(f1554,plain,
    ( e3 = op(e2,e1)
    | ~ spl0_22
    | ~ spl0_89 ),
    inference(forward_demodulation,[status(thm)],[f317,f587]) ).

fof(f1555,plain,
    ( spl0_39
    | ~ spl0_22
    | ~ spl0_89 ),
    inference(split_clause,[status(thm)],[f1554,f371,f316,f586]) ).

fof(f1558,plain,
    ( ~ spl0_2
    | ~ spl0_20
    | spl0_73 ),
    inference(split_clause,[status(thm)],[f957,f251,f310,f522]) ).

fof(f1560,plain,
    ( $false
    | ~ spl0_63
    | spl0_71
    | ~ spl0_61 ),
    inference(forward_subsumption_resolution,[status(thm)],[f444,f1538]) ).

fof(f1561,plain,
    ( ~ spl0_63
    | spl0_71
    | ~ spl0_61 ),
    inference(contradiction_clause,[status(thm)],[f1560]) ).

fof(f1562,plain,
    ( e2 = e0
    | ~ spl0_80
    | ~ spl0_74 ),
    inference(forward_demodulation,[status(thm)],[f549,f527]) ).

fof(f1563,plain,
    ( $false
    | ~ spl0_80
    | ~ spl0_74 ),
    inference(forward_subsumption_resolution,[status(thm)],[f1562,f127]) ).

fof(f1564,plain,
    ( ~ spl0_80
    | ~ spl0_74 ),
    inference(contradiction_clause,[status(thm)],[f1563]) ).

fof(f1565,plain,
    ( e3 = op(e0,op(e1,e1))
    | ~ spl0_20
    | ~ spl0_75 ),
    inference(forward_demodulation,[status(thm)],[f311,f531]) ).

fof(f1566,plain,
    ( e3 = op(e0,e0)
    | ~ spl0_20
    | ~ spl0_75 ),
    inference(forward_demodulation,[status(thm)],[f311,f1565]) ).

fof(f1570,plain,
    ( ~ spl0_12
    | ~ spl0_8 ),
    inference(split_clause,[status(thm)],[f1275,f284,f271]) ).

fof(f1588,plain,
    ( ~ spl0_46
    | ~ spl0_42 ),
    inference(split_clause,[status(thm)],[f737,f394,f381]) ).

fof(f1589,plain,
    ( e1 != op(e3,op(e0,e0))
    | ~ spl0_20
    | ~ spl0_75
    | spl0_88 ),
    inference(forward_demodulation,[status(thm)],[f1566,f581]) ).

fof(f1590,plain,
    ( e1 != op(e3,e3)
    | ~ spl0_20
    | ~ spl0_75
    | spl0_88 ),
    inference(forward_demodulation,[status(thm)],[f1566,f1589]) ).

fof(f1591,plain,
    ( $false
    | ~ spl0_61
    | ~ spl0_20
    | ~ spl0_75
    | spl0_88 ),
    inference(forward_subsumption_resolution,[status(thm)],[f1590,f444]) ).

fof(f1592,plain,
    ( ~ spl0_61
    | ~ spl0_20
    | ~ spl0_75
    | spl0_88 ),
    inference(contradiction_clause,[status(thm)],[f1591]) ).

fof(f1599,plain,
    ( ~ spl0_6
    | ~ spl0_2 ),
    inference(split_clause,[status(thm)],[f1121,f264,f251]) ).

fof(f1610,plain,
    ( ~ spl0_58
    | ~ spl0_26 ),
    inference(split_clause,[status(thm)],[f1083,f433,f329]) ).

fof(f1617,plain,
    ( ~ spl0_55
    | ~ spl0_51 ),
    inference(split_clause,[status(thm)],[f656,f423,f410]) ).

fof(f1618,plain,
    ( e0 = e2
    | ~ spl0_56
    | ~ spl0_58 ),
    inference(forward_demodulation,[status(thm)],[f428,f434]) ).

fof(f1619,plain,
    ( $false
    | ~ spl0_56
    | ~ spl0_58 ),
    inference(forward_subsumption_resolution,[status(thm)],[f1618,f127]) ).

fof(f1620,plain,
    ( ~ spl0_56
    | ~ spl0_58 ),
    inference(contradiction_clause,[status(thm)],[f1619]) ).

fof(f1621,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f257,f270,f283,f296,f309,f322,f335,f348,f361,f374,f387,f400,f413,f426,f439,f452,f453,f455,f456,f457,f458,f460,f461,f462,f463,f464,f465,f466,f467,f468,f469,f470,f471,f472,f473,f474,f475,f476,f477,f478,f479,f480,f481,f482,f483,f488,f489,f493,f494,f498,f499,f503,f504,f511,f518,f525,f529,f533,f537,f544,f551,f558,f559,f563,f564,f571,f575,f582,f583,f585,f589,f597,f599,f600,f604,f605,f609,f610,f614,f615,f619,f620,f624,f625,f629,f630,f634,f635,f639,f640,f641,f642,f643,f644,f645,f646,f647,f648,f651,f659,f662,f665,f668,f671,f674,f677,f680,f683,f686,f689,f692,f704,f707,f710,f713,f716,f719,f722,f728,f741,f754,f757,f760,f763,f771,f774,f795,f798,f810,f814,f817,f826,f833,f838,f841,f844,f848,f851,f853,f854,f859,f860,f869,f880,f883,f887,f891,f893,f895,f901,f907,f911,f914,f918,f922,f924,f929,f931,f936,f942,f945,f947,f948,f949,f953,f963,f966,f971,f973,f979,f982,f986,f988,f994,f995,f997,f1000,f1004,f1012,f1014,f1018,f1019,f1022,f1025,f1029,f1031,f1038,f1040,f1042,f1047,f1053,f1057,f1065,f1069,f1071,f1076,f1082,f1085,f1088,f1089,f1092,f1100,f1102,f1106,f1112,f1115,f1118,f1120,f1127,f1139,f1140,f1144,f1158,f1162,f1167,f1168,f1170,f1173,f1175,f1177,f1182,f1196,f1204,f1206,f1220,f1228,f1237,f1248,f1251,f1253,f1263,f1274,f1278,f1279,f1282,f1287,f1289,f1292,f1296,f1297,f1309,f1312,f1337,f1351,f1358,f1362,f1365,f1368,f1372,f1377,f1382,f1386,f1391,f1394,f1399,f1409,f1415,f1417,f1426,f1435,f1438,f1446,f1448,f1449,f1457,f1474,f1476,f1486,f1489,f1493,f1501,f1504,f1508,f1516,f1520,f1522,f1526,f1528,f1531,f1532,f1540,f1542,f1545,f1555,f1558,f1561,f1564,f1570,f1588,f1592,f1599,f1610,f1617,f1620]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem  : ALG139+1 : TPTP v8.1.2. Released v2.7.0.
% 0.04/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.35  % Computer : n003.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Mon Apr 29 23:43:03 EDT 2024
% 0.14/0.35  % CPUTime  : 
% 0.14/0.37  % Drodi V3.6.0
% 1.61/0.59  % Refutation found
% 1.61/0.59  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 1.61/0.59  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 1.61/0.62  % Elapsed time: 0.248940 seconds
% 1.61/0.62  % CPU time: 1.763646 seconds
% 1.61/0.62  % Total memory used: 27.001 MB
% 1.61/0.62  % Net memory used: 25.772 MB
%------------------------------------------------------------------------------