%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : ALG135+1 : TPTP v8.1.2. Released v2.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n017.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 20:10:12 EDT 2024

% Result   : Unsatisfiable 0.15s 0.40s
% Output   : CNFRefutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :  137
% Syntax   : Number of formulae    : 1101 (  55 unt;   0 def)
%            Number of atoms       : 3166 (1327 equ)
%            Maximal formula atoms :  128 (   2 avg)
%            Number of connectives : 3872 (1807   ~;1733   |; 220   &)
%                                         ( 100 <=>;  12  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   49 (   4 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :  114 ( 112 usr; 113 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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p') ).

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

fof(f22,axiom,
    ~ ( e2 = op(op(e0,e0),op(e0,e0))
      & e3 = op(op(op(e0,e0),op(e0,e0)),op(e0,e0))
      & e1 = op(e0,e0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

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

fof(f25,axiom,
    ~ ( e3 = op(op(e2,e2),op(e2,e2))
      & e0 = op(op(op(e2,e2),op(e2,e2)),op(e2,e2))
      & e1 = op(e2,e2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

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

fof(f27,axiom,
    ~ ( e3 = op(op(e2,e2),op(e2,e2))
      & e1 = op(op(op(e2,e2),op(e2,e2)),op(e2,e2))
      & e0 = op(e2,e2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f29,axiom,
    ~ ( e3 = op(op(e1,e1),op(e1,e1))
      & e2 = op(op(op(e1,e1),op(e1,e1)),op(e1,e1))
      & e0 = op(e1,e1) ),
    file('/export/starexec/sandbox/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(f47,plain,
    ( op(e0,e0) = e0
    | op(e1,e0) = e0
    | op(e2,e0) = e0
    | op(e3,e0) = 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(f52,plain,
    ( op(e0,e0) = e3
    | op(e0,e1) = e3
    | op(e0,e2) = e3
    | op(e0,e3) = e3 ),
    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(f77,plain,
    ( op(e0,e3) = e3
    | op(e1,e3) = e3
    | op(e2,e3) = 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(f90,plain,
    op(e0,e2) != op(e1,e2),
    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(f96,plain,
    op(e0,e3) != op(e1,e3),
    inference(cnf_transformation,[status(esa)],[f3]) ).

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

fof(f98,plain,
    op(e0,e3) != op(e3,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(f121,plain,
    op(e3,e0) != op(e3,e2),
    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,e0) = e1
        & op(e0,e1) != e0 )
      | ( op(e2,e0) = e2
        & op(e0,e2) != e0 ) ) ),
    introduced(predicate_definition,[f5]) ).

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

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

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

fof(f136,plain,
    ( ( pd0_0
      | ( op(e3,e0) = e3
        & op(e0,e3) != e0 ) )
    & ( pd0_1
      | ( op(e3,e1) = e3
        & op(e1,e3) != e1 ) )
    & ( pd0_2
      | ( op(e3,e2) = e3
        & op(e2,e3) != e2 ) )
    & ( 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,e0) = e3 ),
    inference(cnf_transformation,[status(esa)],[f136]) ).

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

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

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

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

fof(f142,plain,
    ( pd0_2
    | op(e2,e3) != e2 ),
    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(f147,plain,
    ( e0 != op(op(e3,e3),op(e3,e3))
    | e1 != op(op(op(e3,e3),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),op(e3,e3))
    | e1 != op(op(op(e3,e3),op(e3,e3)),op(e3,e3))
    | e2 != op(e3,e3) ),
    inference(cnf_transformation,[status(esa)],[f147]) ).

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

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

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

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

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

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

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

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

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

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

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

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

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

fof(f177,plain,
    ( e2 != op(op(e0,e0),op(e0,e0))
    | e3 != op(op(op(e0,e0),op(e0,e0)),op(e0,e0))
    | e1 != op(e0,e0) ),
    inference(pre_NNF_transformation,[status(esa)],[f22]) ).

fof(f178,plain,
    ( e2 != op(op(e0,e0),op(e0,e0))
    | e3 != op(op(op(e0,e0),op(e0,e0)),op(e0,e0))
    | e1 != op(e0,e0) ),
    inference(cnf_transformation,[status(esa)],[f177]) ).

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

fof(f183,plain,
    ( e3 != op(op(e2,e2),op(e2,e2))
    | e0 != op(op(op(e2,e2),op(e2,e2)),op(e2,e2))
    | e1 != op(e2,e2) ),
    inference(pre_NNF_transformation,[status(esa)],[f25]) ).

fof(f184,plain,
    ( e3 != op(op(e2,e2),op(e2,e2))
    | e0 != op(op(op(e2,e2),op(e2,e2)),op(e2,e2))
    | e1 != op(e2,e2) ),
    inference(cnf_transformation,[status(esa)],[f183]) ).

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

fof(f187,plain,
    ( e3 != op(op(e2,e2),op(e2,e2))
    | e1 != op(op(op(e2,e2),op(e2,e2)),op(e2,e2))
    | e0 != op(e2,e2) ),
    inference(pre_NNF_transformation,[status(esa)],[f27]) ).

fof(f188,plain,
    ( e3 != op(op(e2,e2),op(e2,e2))
    | e1 != op(op(op(e2,e2),op(e2,e2)),op(e2,e2))
    | e0 != op(e2,e2) ),
    inference(cnf_transformation,[status(esa)],[f187]) ).

fof(f191,plain,
    ( e3 != op(op(e1,e1),op(e1,e1))
    | e2 != op(op(op(e1,e1),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),op(e1,e1))
    | e2 != op(op(op(e1,e1),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,e0) = e1
      & op(e0,e1) != e0 )
    | ( op(e2,e0) = e2
      & op(e0,e2) != e0 ) ),
    inference(pre_NNF_transformation,[status(esa)],[f132]) ).

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

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

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

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

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

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

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

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

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

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

fof(f204,plain,
    ( pd0_6
   => ( ( op(e0,e2) = e0
        & op(e2,e0) != e2 )
      | ( op(e1,e2) = e1
        & op(e2,e1) != e2 ) ) ),
    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,e3) = e0
      & op(e3,e0) != e3 )
    | ( op(e1,e3) = e1
      & op(e3,e1) != e3 )
    | ( op(e2,e3) = e2
      & op(e3,e2) != e3 ) ),
    inference(pre_NNF_transformation,[status(esa)],[f135]) ).

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

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

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

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

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

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

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

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

fof(f219,plain,
    ( pd0_9
   => ( op(e0,e1) = e0
      & op(e1,e0) != e1 ) ),
    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,e2) = e0
      & op(e2,e0) != e2 )
    | ( op(e1,e2) = e1
      & op(e2,e1) != e2 ) ),
    inference(pre_NNF_transformation,[status(esa)],[f204]) ).

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

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

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

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

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

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

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

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

fof(f232,plain,
    ( ~ pd0_7
    | pd0_11
    | op(e3,e1) != e3 ),
    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,e1) = e0
      & op(e1,e0) != e1 ) ),
    inference(pre_NNF_transformation,[status(esa)],[f219]) ).

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

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

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

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

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

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

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

fof(f244,plain,
    ( ~ pd0_11
    | op(e3,e0) != e3 ),
    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(f454,plain,
    ( spl0_0
    | spl0_16
    | spl0_32
    | spl0_48 ),
    inference(split_clause,[status(thm)],[f47,f245,f297,f349,f401]) ).

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(f459,plain,
    ( spl0_3
    | spl0_7
    | spl0_11
    | spl0_15 ),
    inference(split_clause,[status(thm)],[f52,f254,f267,f280,f293]) ).

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(f484,plain,
    ( spl0_15
    | spl0_31
    | spl0_47
    | spl0_63 ),
    inference(split_clause,[status(thm)],[f77,f293,f345,f397,f449]) ).

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

fof(f488,plain,
    ( spl0_64
    | spl0_51 ),
    inference(split_clause,[status(thm)],[f137,f485,f410]) ).

fof(f489,plain,
    ( spl0_64
    | ~ spl0_12 ),
    inference(split_clause,[status(thm)],[f138,f485,f284]) ).

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

fof(f493,plain,
    ( spl0_65
    | spl0_55 ),
    inference(split_clause,[status(thm)],[f139,f490,f423]) ).

fof(f494,plain,
    ( spl0_65
    | ~ spl0_29 ),
    inference(split_clause,[status(thm)],[f140,f490,f339]) ).

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

fof(f498,plain,
    ( spl0_66
    | spl0_59 ),
    inference(split_clause,[status(thm)],[f141,f495,f436]) ).

fof(f499,plain,
    ( spl0_66
    | ~ spl0_46 ),
    inference(split_clause,[status(thm)],[f142,f495,f394]) ).

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),op(e2,e2)) ),
    introduced(split_symbol_definition) ).

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

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

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

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

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

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

fof(f517,plain,
    ( e1 != op(op(op(e3,e3),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),op(e1,e1)) ),
    introduced(split_symbol_definition) ).

fof(f520,plain,
    ( e0 = op(op(e1,e1),op(e1,e1))
    | ~ spl0_72 ),
    inference(component_clause,[status(thm)],[f519]) ).

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

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

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

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

fof(f528,plain,
    ( e2 != op(op(op(e3,e3),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(op(e1,e1),op(e1,e1)),op(e1,e1)) ),
    introduced(split_symbol_definition) ).

fof(f532,plain,
    ( e3 != op(op(op(e1,e1),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(op(e2,e2),op(e2,e2)),op(e2,e2)) ),
    introduced(split_symbol_definition) ).

fof(f536,plain,
    ( e3 != op(op(op(e2,e2),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),op(e2,e2)) ),
    introduced(split_symbol_definition) ).

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

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

fof(f543,plain,
    ( e0 != op(op(op(e2,e2),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),op(e3,e3)) ),
    introduced(split_symbol_definition) ).

fof(f546,plain,
    ( e1 = op(op(e3,e3),op(e3,e3))
    | ~ spl0_79 ),
    inference(component_clause,[status(thm)],[f545]) ).

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

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

fof(f550,plain,
    ( e0 != op(op(op(e3,e3),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),op(e0,e0)) ),
    introduced(split_symbol_definition) ).

fof(f553,plain,
    ( e1 = op(op(e0,e0),op(e0,e0))
    | ~ spl0_81 ),
    inference(component_clause,[status(thm)],[f552]) ).

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

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

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(op(e0,e0),op(e0,e0)),op(e0,e0)) ),
    introduced(split_symbol_definition) ).

fof(f562,plain,
    ( e3 != op(op(op(e0,e0),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),op(e1,e1)) ),
    introduced(split_symbol_definition) ).

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

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

fof(f570,plain,
    ( e0 != op(op(op(e1,e1),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),op(e3,e3)) ),
    introduced(split_symbol_definition) ).

fof(f573,plain,
    ( e2 = op(op(e3,e3),op(e3,e3))
    | ~ spl0_86 ),
    inference(component_clause,[status(thm)],[f572]) ).

fof(f574,plain,
    ( e2 != op(op(e3,e3),op(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),op(e0,e0)) ),
    introduced(split_symbol_definition) ).

fof(f577,plain,
    ( e2 = op(op(e0,e0),op(e0,e0))
    | ~ spl0_87 ),
    inference(component_clause,[status(thm)],[f576]) ).

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

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

fof(f581,plain,
    ( e1 != op(op(op(e0,e0),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(f584,plain,
    ( ~ spl0_87
    | ~ spl0_83
    | ~ spl0_1 ),
    inference(split_clause,[status(thm)],[f178,f576,f560,f248]) ).

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

fof(f588,plain,
    ( e3 != op(op(e1,e1),op(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(f590,plain,
    ( spl0_90
  <=> e3 = op(op(e2,e2),op(e2,e2)) ),
    introduced(split_symbol_definition) ).

fof(f592,plain,
    ( e3 != op(op(e2,e2),op(e2,e2))
    | spl0_90 ),
    inference(component_clause,[status(thm)],[f590]) ).

fof(f593,plain,
    ( ~ spl0_90
    | ~ spl0_78
    | ~ spl0_41 ),
    inference(split_clause,[status(thm)],[f184,f590,f541,f378]) ).

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

fof(f596,plain,
    ( e3 != op(op(e0,e0),op(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(f598,plain,
    ( ~ spl0_90
    | ~ spl0_69
    | ~ spl0_40 ),
    inference(split_clause,[status(thm)],[f188,f590,f508,f375]) ).

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_34 ),
    inference(split_clause,[status(thm)],[f196,f485,f601,f355]) ).

fof(f605,plain,
    ( ~ spl0_64
    | spl0_92
    | ~ spl0_8 ),
    inference(split_clause,[status(thm)],[f197,f485,f601,f271]) ).

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

fof(f609,plain,
    ( ~ spl0_65
    | spl0_93
    | spl0_38 ),
    inference(split_clause,[status(thm)],[f201,f490,f606,f368]) ).

fof(f610,plain,
    ( ~ spl0_65
    | spl0_93
    | ~ spl0_25 ),
    inference(split_clause,[status(thm)],[f202,f490,f606,f326]) ).

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_46 ),
    inference(split_clause,[status(thm)],[f211,f500,f616,f394]) ).

fof(f620,plain,
    ( ~ spl0_67
    | spl0_95
    | ~ spl0_59 ),
    inference(split_clause,[status(thm)],[f212,f500,f616,f436]) ).

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

fof(f624,plain,
    ( ~ spl0_92
    | spl0_96
    | spl0_17 ),
    inference(split_clause,[status(thm)],[f216,f601,f621,f300]) ).

fof(f625,plain,
    ( ~ spl0_92
    | spl0_96
    | ~ spl0_4 ),
    inference(split_clause,[status(thm)],[f217,f601,f621,f258]) ).

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_25 ),
    inference(split_clause,[status(thm)],[f226,f611,f631,f326]) ).

fof(f635,plain,
    ( ~ spl0_94
    | spl0_98
    | ~ spl0_38 ),
    inference(split_clause,[status(thm)],[f227,f611,f631,f368]) ).

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

fof(f639,plain,
    ( ~ spl0_95
    | spl0_99
    | spl0_29 ),
    inference(split_clause,[status(thm)],[f231,f616,f636,f339]) ).

fof(f640,plain,
    ( ~ spl0_95
    | spl0_99
    | ~ spl0_55 ),
    inference(split_clause,[status(thm)],[f232,f616,f636,f423]) ).

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_4 ),
    inference(split_clause,[status(thm)],[f237,f626,f258]) ).

fof(f644,plain,
    ( ~ spl0_97
    | ~ spl0_17 ),
    inference(split_clause,[status(thm)],[f238,f626,f300]) ).

fof(f645,plain,
    ( ~ spl0_98
    | spl0_8 ),
    inference(split_clause,[status(thm)],[f240,f631,f271]) ).

fof(f646,plain,
    ( ~ spl0_98
    | ~ spl0_34 ),
    inference(split_clause,[status(thm)],[f241,f631,f355]) ).

fof(f647,plain,
    ( ~ spl0_99
    | spl0_12 ),
    inference(split_clause,[status(thm)],[f243,f636,f284]) ).

fof(f648,plain,
    ( ~ spl0_99
    | ~ spl0_51 ),
    inference(split_clause,[status(thm)],[f244,f636,f410]) ).

fof(f649,plain,
    ( e3 = e2
    | ~ spl0_31
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f346,f343]) ).

fof(f650,plain,
    ( $false
    | ~ spl0_31
    | ~ spl0_30 ),
    inference(forward_subsumption_resolution,[status(thm)],[f649,f131]) ).

fof(f651,plain,
    ( ~ spl0_31
    | ~ spl0_30 ),
    inference(contradiction_clause,[status(thm)],[f650]) ).

fof(f652,plain,
    ( e3 = e2
    | ~ spl0_15
    | ~ spl0_14 ),
    inference(forward_demodulation,[status(thm)],[f294,f291]) ).

fof(f653,plain,
    ( $false
    | ~ spl0_15
    | ~ spl0_14 ),
    inference(forward_subsumption_resolution,[status(thm)],[f652,f131]) ).

fof(f654,plain,
    ( ~ spl0_15
    | ~ spl0_14 ),
    inference(contradiction_clause,[status(thm)],[f653]) ).

fof(f655,plain,
    ( e3 = e1
    | ~ spl0_47
    | ~ spl0_45 ),
    inference(forward_demodulation,[status(thm)],[f398,f392]) ).

fof(f656,plain,
    ( $false
    | ~ spl0_47
    | ~ spl0_45 ),
    inference(forward_subsumption_resolution,[status(thm)],[f655,f130]) ).

fof(f657,plain,
    ( ~ spl0_47
    | ~ spl0_45 ),
    inference(contradiction_clause,[status(thm)],[f656]) ).

fof(f658,plain,
    ( e2 = e1
    | ~ spl0_58
    | ~ spl0_57 ),
    inference(forward_demodulation,[status(thm)],[f434,f431]) ).

fof(f659,plain,
    ( $false
    | ~ spl0_58
    | ~ spl0_57 ),
    inference(forward_subsumption_resolution,[status(thm)],[f658,f129]) ).

fof(f660,plain,
    ( ~ spl0_58
    | ~ spl0_57 ),
    inference(contradiction_clause,[status(thm)],[f659]) ).

fof(f661,plain,
    ( e2 = e1
    | ~ spl0_54
    | ~ spl0_53 ),
    inference(forward_demodulation,[status(thm)],[f421,f418]) ).

fof(f662,plain,
    ( $false
    | ~ spl0_54
    | ~ spl0_53 ),
    inference(forward_subsumption_resolution,[status(thm)],[f661,f129]) ).

fof(f663,plain,
    ( ~ spl0_54
    | ~ spl0_53 ),
    inference(contradiction_clause,[status(thm)],[f662]) ).

fof(f664,plain,
    ( e2 = e1
    | ~ spl0_50
    | ~ spl0_49 ),
    inference(forward_demodulation,[status(thm)],[f408,f405]) ).

fof(f665,plain,
    ( $false
    | ~ spl0_50
    | ~ spl0_49 ),
    inference(forward_subsumption_resolution,[status(thm)],[f664,f129]) ).

fof(f666,plain,
    ( ~ spl0_50
    | ~ spl0_49 ),
    inference(contradiction_clause,[status(thm)],[f665]) ).

fof(f667,plain,
    ( e3 = e2
    | ~ spl0_27
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f333,f330]) ).

fof(f668,plain,
    ( $false
    | ~ spl0_27
    | ~ spl0_26 ),
    inference(forward_subsumption_resolution,[status(thm)],[f667,f131]) ).

fof(f669,plain,
    ( ~ spl0_27
    | ~ spl0_26 ),
    inference(contradiction_clause,[status(thm)],[f668]) ).

fof(f670,plain,
    ( e3 = e2
    | ~ spl0_11
    | ~ spl0_10 ),
    inference(forward_demodulation,[status(thm)],[f281,f278]) ).

fof(f671,plain,
    ( $false
    | ~ spl0_11
    | ~ spl0_10 ),
    inference(forward_subsumption_resolution,[status(thm)],[f670,f131]) ).

fof(f672,plain,
    ( ~ spl0_11
    | ~ spl0_10 ),
    inference(contradiction_clause,[status(thm)],[f671]) ).

fof(f673,plain,
    ( e3 = e1
    | ~ spl0_39
    | ~ spl0_37 ),
    inference(forward_demodulation,[status(thm)],[f372,f366]) ).

fof(f674,plain,
    ( $false
    | ~ spl0_39
    | ~ spl0_37 ),
    inference(forward_subsumption_resolution,[status(thm)],[f673,f130]) ).

fof(f675,plain,
    ( ~ spl0_39
    | ~ spl0_37 ),
    inference(contradiction_clause,[status(thm)],[f674]) ).

fof(f679,plain,
    ( e3 = e2
    | ~ spl0_7
    | ~ spl0_6 ),
    inference(forward_demodulation,[status(thm)],[f268,f265]) ).

fof(f680,plain,
    ( $false
    | ~ spl0_7
    | ~ spl0_6 ),
    inference(forward_subsumption_resolution,[status(thm)],[f679,f131]) ).

fof(f681,plain,
    ( ~ spl0_7
    | ~ spl0_6 ),
    inference(contradiction_clause,[status(thm)],[f680]) ).

fof(f682,plain,
    ( e3 = e2
    | ~ spl0_19
    | ~ spl0_18 ),
    inference(forward_demodulation,[status(thm)],[f307,f304]) ).

fof(f683,plain,
    ( $false
    | ~ spl0_19
    | ~ spl0_18 ),
    inference(forward_subsumption_resolution,[status(thm)],[f682,f131]) ).

fof(f684,plain,
    ( ~ spl0_19
    | ~ spl0_18 ),
    inference(contradiction_clause,[status(thm)],[f683]) ).

fof(f686,plain,
    ( e1 = e0
    | ~ spl0_5
    | ~ spl0_4 ),
    inference(forward_demodulation,[status(thm)],[f262,f259]) ).

fof(f687,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_4 ),
    inference(forward_subsumption_resolution,[status(thm)],[f686,f126]) ).

fof(f688,plain,
    ( ~ spl0_5
    | ~ spl0_4 ),
    inference(contradiction_clause,[status(thm)],[f687]) ).

fof(f689,plain,
    ( e0 = e3
    | ~ spl0_48
    | ~ spl0_51 ),
    inference(forward_demodulation,[status(thm)],[f402,f411]) ).

fof(f690,plain,
    ( $false
    | ~ spl0_48
    | ~ spl0_51 ),
    inference(forward_subsumption_resolution,[status(thm)],[f689,f128]) ).

fof(f691,plain,
    ( ~ spl0_48
    | ~ spl0_51 ),
    inference(contradiction_clause,[status(thm)],[f690]) ).

fof(f693,plain,
    ( e0 != op(e1,e3)
    | ~ spl0_24 ),
    inference(forward_demodulation,[status(thm)],[f324,f113]) ).

fof(f694,plain,
    ( e0 != e0
    | ~ spl0_28
    | ~ spl0_24 ),
    inference(forward_demodulation,[status(thm)],[f337,f693]) ).

fof(f695,plain,
    ( $false
    | ~ spl0_28
    | ~ spl0_24 ),
    inference(trivial_equality_resolution,[status(esa)],[f694]) ).

fof(f696,plain,
    ( ~ spl0_28
    | ~ spl0_24 ),
    inference(contradiction_clause,[status(thm)],[f695]) ).

fof(f697,plain,
    ( e1 != op(e1,e3)
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f314,f112]) ).

fof(f700,plain,
    ( e1 != op(e0,e3)
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f275,f107]) ).

fof(f701,plain,
    ( e1 != e1
    | ~ spl0_13
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f288,f700]) ).

fof(f702,plain,
    ( $false
    | ~ spl0_13
    | ~ spl0_9 ),
    inference(trivial_equality_resolution,[status(esa)],[f701]) ).

fof(f703,plain,
    ( ~ spl0_13
    | ~ spl0_9 ),
    inference(contradiction_clause,[status(thm)],[f702]) ).

fof(f704,plain,
    ( e0 != op(e0,e3)
    | ~ spl0_0 ),
    inference(forward_demodulation,[status(thm)],[f246,f104]) ).

fof(f706,plain,
    ( e2 != op(e2,e3)
    | ~ spl0_42 ),
    inference(forward_demodulation,[status(thm)],[f382,f119]) ).

fof(f716,plain,
    ( e0 != op(e3,e2)
    | ~ spl0_52 ),
    inference(forward_demodulation,[status(thm)],[f415,f123]) ).

fof(f717,plain,
    ( e0 != e0
    | ~ spl0_56
    | ~ spl0_52 ),
    inference(forward_demodulation,[status(thm)],[f428,f716]) ).

fof(f718,plain,
    ( $false
    | ~ spl0_56
    | ~ spl0_52 ),
    inference(trivial_equality_resolution,[status(esa)],[f717]) ).

fof(f719,plain,
    ( ~ spl0_56
    | ~ spl0_52 ),
    inference(contradiction_clause,[status(thm)],[f718]) ).

fof(f726,plain,
    ( e0 != op(e3,e1)
    | ~ spl0_36 ),
    inference(forward_demodulation,[status(thm)],[f363,f89]) ).

fof(f727,plain,
    ( e0 != e0
    | ~ spl0_52
    | ~ spl0_36 ),
    inference(forward_demodulation,[status(thm)],[f415,f726]) ).

fof(f728,plain,
    ( $false
    | ~ spl0_52
    | ~ spl0_36 ),
    inference(trivial_equality_resolution,[status(esa)],[f727]) ).

fof(f729,plain,
    ( ~ spl0_52
    | ~ spl0_36 ),
    inference(contradiction_clause,[status(thm)],[f728]) ).

fof(f730,plain,
    ( e1 != op(e3,e1)
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f314,f88]) ).

fof(f731,plain,
    ( op(e3,e0) != e3
    | ~ spl0_63 ),
    inference(forward_demodulation,[status(thm)],[f450,f122]) ).

fof(f735,plain,
    ( e0 != op(e1,e2)
    | ~ spl0_16 ),
    inference(forward_demodulation,[status(thm)],[f298,f109]) ).

fof(f736,plain,
    ( e0 != e0
    | ~ spl0_24
    | ~ spl0_16 ),
    inference(forward_demodulation,[status(thm)],[f324,f735]) ).

fof(f737,plain,
    ( $false
    | ~ spl0_24
    | ~ spl0_16 ),
    inference(trivial_equality_resolution,[status(esa)],[f736]) ).

fof(f738,plain,
    ( ~ spl0_24
    | ~ spl0_16 ),
    inference(contradiction_clause,[status(thm)],[f737]) ).

fof(f741,plain,
    ( e1 != op(e1,e2)
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f275,f90]) ).

fof(f743,plain,
    ( op(e0,e1) != e1
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f275,f105]) ).

fof(f744,plain,
    ( e0 != op(e0,e2)
    | ~ spl0_0 ),
    inference(forward_demodulation,[status(thm)],[f246,f103]) ).

fof(f749,plain,
    ( op(e2,e1) != e2
    | ~ spl0_42 ),
    inference(forward_demodulation,[status(thm)],[f382,f117]) ).

fof(f750,plain,
    ( e0 != op(e2,e1)
    | ~ spl0_32 ),
    inference(forward_demodulation,[status(thm)],[f350,f114]) ).

fof(f754,plain,
    ( op(e1,e0) != e0
    | ~ spl0_32 ),
    inference(forward_demodulation,[status(thm)],[f350,f81]) ).

fof(f755,plain,
    ( e0 != op(e2,e0)
    | ~ spl0_0 ),
    inference(forward_demodulation,[status(thm)],[f246,f79]) ).

fof(f756,plain,
    ( e0 != e0
    | ~ spl0_32
    | ~ spl0_0 ),
    inference(forward_demodulation,[status(thm)],[f350,f755]) ).

fof(f757,plain,
    ( $false
    | ~ spl0_32
    | ~ spl0_0 ),
    inference(trivial_equality_resolution,[status(esa)],[f756]) ).

fof(f758,plain,
    ( ~ spl0_32
    | ~ spl0_0 ),
    inference(contradiction_clause,[status(thm)],[f757]) ).

fof(f767,plain,
    ( e3 != op(e3,e3)
    | ~ spl0_15 ),
    inference(backward_demodulation,[status(thm)],[f294,f98]) ).

fof(f768,plain,
    ( ~ spl0_63
    | ~ spl0_15 ),
    inference(split_clause,[status(thm)],[f767,f449,f293]) ).

fof(f773,plain,
    ( op(e1,e0) != e3
    | ~ spl0_27 ),
    inference(backward_demodulation,[status(thm)],[f333,f109]) ).

fof(f774,plain,
    ( e3 != op(e2,e2)
    | ~ spl0_27 ),
    inference(backward_demodulation,[status(thm)],[f333,f93]) ).

fof(f777,plain,
    ( e0 = e3
    | ~ spl0_24
    | ~ spl0_27 ),
    inference(forward_demodulation,[status(thm)],[f324,f333]) ).

fof(f778,plain,
    ( $false
    | ~ spl0_24
    | ~ spl0_27 ),
    inference(forward_subsumption_resolution,[status(thm)],[f777,f128]) ).

fof(f779,plain,
    ( ~ spl0_24
    | ~ spl0_27 ),
    inference(contradiction_clause,[status(thm)],[f778]) ).

fof(f780,plain,
    ( op(e1,e0) != e1
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f314,f108]) ).

fof(f856,plain,
    ( $false
    | ~ spl0_0
    | ~ spl0_12 ),
    inference(forward_subsumption_resolution,[status(thm)],[f285,f704]) ).

fof(f857,plain,
    ( ~ spl0_0
    | ~ spl0_12 ),
    inference(contradiction_clause,[status(thm)],[f856]) ).

fof(f859,plain,
    ( $false
    | ~ spl0_21
    | ~ spl0_17 ),
    inference(forward_subsumption_resolution,[status(thm)],[f301,f780]) ).

fof(f860,plain,
    ( ~ spl0_21
    | ~ spl0_17 ),
    inference(contradiction_clause,[status(thm)],[f859]) ).

fof(f861,plain,
    ( op(e1,e0) != e2
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f343,f110]) ).

fof(f863,plain,
    ( op(e2,e0) != e2
    | ~ spl0_42 ),
    inference(forward_demodulation,[status(thm)],[f382,f115]) ).

fof(f867,plain,
    ( op(e1,e0) != e2
    | ~ spl0_50 ),
    inference(backward_demodulation,[status(thm)],[f408,f82]) ).

fof(f868,plain,
    ( ~ spl0_18
    | ~ spl0_50 ),
    inference(split_clause,[status(thm)],[f867,f303,f407]) ).

fof(f869,plain,
    ( op(e0,e0) != e2
    | ~ spl0_50 ),
    inference(backward_demodulation,[status(thm)],[f408,f80]) ).

fof(f873,plain,
    ( e2 != op(e2,e1)
    | ~ spl0_6 ),
    inference(backward_demodulation,[status(thm)],[f265,f85]) ).

fof(f874,plain,
    ( ~ spl0_38
    | ~ spl0_6 ),
    inference(split_clause,[status(thm)],[f873,f368,f264]) ).

fof(f877,plain,
    ( op(e0,e2) != e2
    | ~ spl0_42 ),
    inference(forward_demodulation,[status(thm)],[f382,f91]) ).

fof(f878,plain,
    ( ~ spl0_8
    | ~ spl0_0 ),
    inference(split_clause,[status(thm)],[f744,f271,f245]) ).

fof(f880,plain,
    ( e2 = e0
    | ~ spl0_42
    | ~ spl0_40 ),
    inference(forward_demodulation,[status(thm)],[f382,f376]) ).

fof(f881,plain,
    ( $false
    | ~ spl0_42
    | ~ spl0_40 ),
    inference(forward_subsumption_resolution,[status(thm)],[f880,f127]) ).

fof(f882,plain,
    ( ~ spl0_42
    | ~ spl0_40 ),
    inference(contradiction_clause,[status(thm)],[f881]) ).

fof(f886,plain,
    ( op(e0,e1) != e3
    | ~ spl0_39 ),
    inference(backward_demodulation,[status(thm)],[f372,f85]) ).

fof(f887,plain,
    ( ~ spl0_7
    | ~ spl0_39 ),
    inference(split_clause,[status(thm)],[f886,f267,f371]) ).

fof(f891,plain,
    ( e2 != op(e2,e3)
    | ~ spl0_30 ),
    inference(backward_demodulation,[status(thm)],[f343,f99]) ).

fof(f892,plain,
    ( e1 = e3
    | ~ spl0_57
    | ~ spl0_59 ),
    inference(forward_demodulation,[status(thm)],[f431,f437]) ).

fof(f893,plain,
    ( $false
    | ~ spl0_57
    | ~ spl0_59 ),
    inference(forward_subsumption_resolution,[status(thm)],[f892,f130]) ).

fof(f894,plain,
    ( ~ spl0_57
    | ~ spl0_59 ),
    inference(contradiction_clause,[status(thm)],[f893]) ).

fof(f901,plain,
    ( e0 != op(e1,e2)
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f311,f111]) ).

fof(f902,plain,
    ( e0 != op(e3,e1)
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f311,f88]) ).

fof(f903,plain,
    ( e0 != op(e1,e3)
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f311,f112]) ).

fof(f913,plain,
    ( op(e2,e0) != e2
    | ~ spl0_50 ),
    inference(backward_demodulation,[status(thm)],[f408,f83]) ).

fof(f914,plain,
    ( ~ spl0_34
    | ~ spl0_50 ),
    inference(split_clause,[status(thm)],[f913,f355,f407]) ).

fof(f926,plain,
    ( ~ spl0_38
    | ~ spl0_42 ),
    inference(split_clause,[status(thm)],[f749,f368,f381]) ).

fof(f928,plain,
    ( ~ spl0_34
    | ~ spl0_42 ),
    inference(split_clause,[status(thm)],[f863,f355,f381]) ).

fof(f929,plain,
    ( ~ spl0_10
    | ~ spl0_42 ),
    inference(split_clause,[status(thm)],[f877,f277,f381]) ).

fof(f930,plain,
    ( e2 = e3
    | ~ spl0_50
    | ~ spl0_51 ),
    inference(forward_demodulation,[status(thm)],[f408,f411]) ).

fof(f931,plain,
    ( $false
    | ~ spl0_50
    | ~ spl0_51 ),
    inference(forward_subsumption_resolution,[status(thm)],[f930,f131]) ).

fof(f932,plain,
    ( ~ spl0_50
    | ~ spl0_51 ),
    inference(contradiction_clause,[status(thm)],[f931]) ).

fof(f936,plain,
    ( ~ spl0_25
    | ~ spl0_9 ),
    inference(split_clause,[status(thm)],[f741,f326,f274]) ).

fof(f937,plain,
    ( ~ spl0_5
    | ~ spl0_9 ),
    inference(split_clause,[status(thm)],[f743,f261,f274]) ).

fof(f940,plain,
    ( e2 != op(e1,e3)
    | ~ spl0_14 ),
    inference(forward_demodulation,[status(thm)],[f291,f96]) ).

fof(f943,plain,
    ( e2 = e1
    | ~ spl0_34
    | ~ spl0_33 ),
    inference(forward_demodulation,[status(thm)],[f356,f353]) ).

fof(f944,plain,
    ( $false
    | ~ spl0_34
    | ~ spl0_33 ),
    inference(forward_subsumption_resolution,[status(thm)],[f943,f129]) ).

fof(f945,plain,
    ( ~ spl0_34
    | ~ spl0_33 ),
    inference(contradiction_clause,[status(thm)],[f944]) ).

fof(f947,plain,
    ( op(e3,e1) != e2
    | ~ spl0_58 ),
    inference(backward_demodulation,[status(thm)],[f434,f123]) ).

fof(f950,plain,
    ( op(e2,e2) != e2
    | ~ spl0_58 ),
    inference(backward_demodulation,[status(thm)],[f434,f95]) ).

fof(f951,plain,
    ( ~ spl0_42
    | ~ spl0_58 ),
    inference(split_clause,[status(thm)],[f950,f381,f433]) ).

fof(f953,plain,
    ( op(e0,e2) != e2
    | ~ spl0_58 ),
    inference(backward_demodulation,[status(thm)],[f434,f92]) ).

fof(f954,plain,
    ( e3 = e2
    | ~ spl0_59
    | ~ spl0_58 ),
    inference(forward_demodulation,[status(thm)],[f437,f434]) ).

fof(f955,plain,
    ( $false
    | ~ spl0_59
    | ~ spl0_58 ),
    inference(forward_subsumption_resolution,[status(thm)],[f954,f131]) ).

fof(f956,plain,
    ( ~ spl0_59
    | ~ spl0_58 ),
    inference(contradiction_clause,[status(thm)],[f955]) ).

fof(f958,plain,
    ( e2 != op(e3,op(e1,e1))
    | ~ spl0_23
    | spl0_84 ),
    inference(forward_demodulation,[status(thm)],[f320,f567]) ).

fof(f959,plain,
    ( e2 != op(e3,e3)
    | ~ spl0_23
    | spl0_84 ),
    inference(forward_demodulation,[status(thm)],[f320,f958]) ).

fof(f969,plain,
    ( op(e0,e3) != e1
    | ~ spl0_45 ),
    inference(backward_demodulation,[status(thm)],[f392,f97]) ).

fof(f970,plain,
    ( ~ spl0_13
    | ~ spl0_45 ),
    inference(split_clause,[status(thm)],[f969,f287,f391]) ).

fof(f971,plain,
    ( e1 != op(e3,e0)
    | ~ spl0_1 ),
    inference(forward_demodulation,[status(thm)],[f249,f80]) ).

fof(f980,plain,
    ( ~ spl0_51
    | ~ spl0_63 ),
    inference(split_clause,[status(thm)],[f731,f410,f449]) ).

fof(f981,plain,
    ( op(e0,e1) != e3
    | ~ spl0_11 ),
    inference(backward_demodulation,[status(thm)],[f281,f105]) ).

fof(f985,plain,
    ( $false
    | ~ spl0_14
    | ~ spl0_30 ),
    inference(forward_subsumption_resolution,[status(thm)],[f343,f940]) ).

fof(f986,plain,
    ( ~ spl0_14
    | ~ spl0_30 ),
    inference(contradiction_clause,[status(thm)],[f985]) ).

fof(f987,plain,
    ( ~ spl0_46
    | ~ spl0_30 ),
    inference(split_clause,[status(thm)],[f891,f394,f342]) ).

fof(f988,plain,
    ( ~ spl0_18
    | ~ spl0_30 ),
    inference(split_clause,[status(thm)],[f861,f303,f342]) ).

fof(f989,plain,
    ( ~ spl0_36
    | ~ spl0_32 ),
    inference(split_clause,[status(thm)],[f750,f362,f349]) ).

fof(f990,plain,
    ( ~ spl0_16
    | ~ spl0_32 ),
    inference(split_clause,[status(thm)],[f754,f297,f349]) ).

fof(f991,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_49 ),
    inference(forward_subsumption_resolution,[status(thm)],[f405,f971]) ).

fof(f992,plain,
    ( ~ spl0_1
    | ~ spl0_49 ),
    inference(contradiction_clause,[status(thm)],[f991]) ).

fof(f1005,plain,
    ( op(e0,e1) != e0
    | ~ spl0_8 ),
    inference(forward_demodulation,[status(thm)],[f272,f105]) ).

fof(f1006,plain,
    ( e0 != op(e0,e3)
    | ~ spl0_8 ),
    inference(forward_demodulation,[status(thm)],[f272,f107]) ).

fof(f1007,plain,
    ( e0 != op(e1,e2)
    | ~ spl0_8 ),
    inference(forward_demodulation,[status(thm)],[f272,f90]) ).

fof(f1008,plain,
    ( e0 != op(e3,e2)
    | ~ spl0_8 ),
    inference(forward_demodulation,[status(thm)],[f272,f92]) ).

fof(f1010,plain,
    ( e1 != op(e2,e0)
    | ~ spl0_17 ),
    inference(backward_demodulation,[status(thm)],[f301,f81]) ).

fof(f1011,plain,
    ( ~ spl0_33
    | ~ spl0_17 ),
    inference(split_clause,[status(thm)],[f1010,f352,f300]) ).

fof(f1021,plain,
    ( op(e1,e0) != e2
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f330,f109]) ).

fof(f1023,plain,
    ( op(e0,e1) != e1
    | ~ spl0_53 ),
    inference(backward_demodulation,[status(thm)],[f418,f86]) ).

fof(f1024,plain,
    ( ~ spl0_5
    | ~ spl0_53 ),
    inference(split_clause,[status(thm)],[f1023,f261,f417]) ).

fof(f1034,plain,
    ( e2 = e0
    | ~ spl0_50
    | ~ spl0_48 ),
    inference(forward_demodulation,[status(thm)],[f408,f402]) ).

fof(f1035,plain,
    ( $false
    | ~ spl0_50
    | ~ spl0_48 ),
    inference(forward_subsumption_resolution,[status(thm)],[f1034,f127]) ).

fof(f1036,plain,
    ( ~ spl0_50
    | ~ spl0_48 ),
    inference(contradiction_clause,[status(thm)],[f1035]) ).

fof(f1038,plain,
    ( op(e0,e0) != e2
    | ~ spl0_14 ),
    inference(backward_demodulation,[status(thm)],[f291,f104]) ).

fof(f1039,plain,
    ( ~ spl0_2
    | ~ spl0_14 ),
    inference(split_clause,[status(thm)],[f1038,f251,f290]) ).

fof(f1040,plain,
    ( op(e0,e1) != e2
    | ~ spl0_14 ),
    inference(backward_demodulation,[status(thm)],[f291,f106]) ).

fof(f1041,plain,
    ( ~ spl0_6
    | ~ spl0_14 ),
    inference(split_clause,[status(thm)],[f1040,f264,f290]) ).

fof(f1045,plain,
    ( e3 != op(e3,op(e0,e0))
    | ~ spl0_3
    | spl0_91 ),
    inference(forward_demodulation,[status(thm)],[f255,f596]) ).

fof(f1046,plain,
    ( e1 != op(op(e3,op(e0,e0)),op(e0,e0))
    | ~ spl0_3
    | spl0_88 ),
    inference(forward_demodulation,[status(thm)],[f255,f581]) ).

fof(f1047,plain,
    ( e1 != op(op(e3,e3),op(e0,e0))
    | ~ spl0_3
    | spl0_88 ),
    inference(forward_demodulation,[status(thm)],[f255,f1046]) ).

fof(f1048,plain,
    ( e1 != op(op(e3,e3),e3)
    | ~ spl0_3
    | spl0_88 ),
    inference(forward_demodulation,[status(thm)],[f255,f1047]) ).

fof(f1054,plain,
    ( e3 != op(e0,e1)
    | ~ spl0_3 ),
    inference(forward_demodulation,[status(thm)],[f255,f102]) ).

fof(f1055,plain,
    ( e3 != op(e1,e0)
    | ~ spl0_3 ),
    inference(forward_demodulation,[status(thm)],[f255,f78]) ).

fof(f1057,plain,
    ( op(e2,e0) != e1
    | ~ spl0_41 ),
    inference(forward_demodulation,[status(thm)],[f379,f115]) ).

fof(f1060,plain,
    ( op(e2,e1) != e1
    | ~ spl0_41 ),
    inference(backward_demodulation,[status(thm)],[f379,f117]) ).

fof(f1061,plain,
    ( ~ spl0_37
    | ~ spl0_41 ),
    inference(split_clause,[status(thm)],[f1060,f365,f378]) ).

fof(f1062,plain,
    ( op(e1,e2) != e1
    | ~ spl0_41 ),
    inference(backward_demodulation,[status(thm)],[f379,f93]) ).

fof(f1063,plain,
    ( ~ spl0_25
    | ~ spl0_41 ),
    inference(split_clause,[status(thm)],[f1062,f326,f378]) ).

fof(f1064,plain,
    ( e1 != op(e3,e2)
    | ~ spl0_41 ),
    inference(backward_demodulation,[status(thm)],[f379,f95]) ).

fof(f1065,plain,
    ( ~ spl0_57
    | ~ spl0_41 ),
    inference(split_clause,[status(thm)],[f1064,f430,f378]) ).

fof(f1066,plain,
    ( e0 != op(op(e2,e2),e1)
    | ~ spl0_41
    | spl0_68 ),
    inference(backward_demodulation,[status(thm)],[f379,f507]) ).

fof(f1067,plain,
    ( e0 != op(e1,e1)
    | ~ spl0_41
    | spl0_68 ),
    inference(forward_demodulation,[status(thm)],[f379,f1066]) ).

fof(f1076,plain,
    ( e0 != op(op(op(e2,e2),op(e2,e2)),e1)
    | ~ spl0_41
    | spl0_78 ),
    inference(backward_demodulation,[status(thm)],[f379,f543]) ).

fof(f1077,plain,
    ( e0 != op(op(e1,op(e2,e2)),e1)
    | ~ spl0_41
    | spl0_78 ),
    inference(forward_demodulation,[status(thm)],[f379,f1076]) ).

fof(f1078,plain,
    ( e0 != op(op(e1,e1),e1)
    | ~ spl0_41
    | spl0_78 ),
    inference(forward_demodulation,[status(thm)],[f379,f1077]) ).

fof(f1079,plain,
    ( e0 != op(e3,e1)
    | ~ spl0_23
    | ~ spl0_41
    | spl0_78 ),
    inference(forward_demodulation,[status(thm)],[f320,f1078]) ).

fof(f1080,plain,
    ( e3 != op(op(e2,e2),e1)
    | ~ spl0_41
    | spl0_90 ),
    inference(backward_demodulation,[status(thm)],[f379,f592]) ).

fof(f1081,plain,
    ( e3 != op(e1,e1)
    | ~ spl0_41
    | spl0_90 ),
    inference(forward_demodulation,[status(thm)],[f379,f1080]) ).

fof(f1082,plain,
    ( e3 != e3
    | ~ spl0_23
    | ~ spl0_41
    | spl0_90 ),
    inference(forward_demodulation,[status(thm)],[f320,f1081]) ).

fof(f1083,plain,
    ( $false
    | ~ spl0_23
    | ~ spl0_41
    | spl0_90 ),
    inference(trivial_equality_resolution,[status(esa)],[f1082]) ).

fof(f1084,plain,
    ( ~ spl0_23
    | ~ spl0_41
    | spl0_90 ),
    inference(contradiction_clause,[status(thm)],[f1083]) ).

fof(f1095,plain,
    ( ~ spl0_46
    | ~ spl0_42 ),
    inference(split_clause,[status(thm)],[f706,f394,f381]) ).

fof(f1098,plain,
    ( e0 = e2
    | ~ spl0_44
    | ~ spl0_46 ),
    inference(forward_demodulation,[status(thm)],[f389,f395]) ).

fof(f1099,plain,
    ( $false
    | ~ spl0_44
    | ~ spl0_46 ),
    inference(forward_subsumption_resolution,[status(thm)],[f1098,f127]) ).

fof(f1100,plain,
    ( ~ spl0_44
    | ~ spl0_46 ),
    inference(contradiction_clause,[status(thm)],[f1099]) ).

fof(f1101,plain,
    ( e3 != op(e2,e2)
    | ~ spl0_35 ),
    inference(backward_demodulation,[status(thm)],[f359,f115]) ).

fof(f1102,plain,
    ( op(e1,e0) != e3
    | ~ spl0_35 ),
    inference(backward_demodulation,[status(thm)],[f359,f81]) ).

fof(f1103,plain,
    ( ~ spl0_19
    | ~ spl0_35 ),
    inference(split_clause,[status(thm)],[f1102,f306,f358]) ).

fof(f1106,plain,
    ( op(e1,e0) != e0
    | ~ spl0_28 ),
    inference(forward_demodulation,[status(thm)],[f337,f110]) ).

fof(f1107,plain,
    ( $false
    | ~ spl0_28
    | ~ spl0_16 ),
    inference(forward_subsumption_resolution,[status(thm)],[f298,f1106]) ).

fof(f1108,plain,
    ( ~ spl0_28
    | ~ spl0_16 ),
    inference(contradiction_clause,[status(thm)],[f1107]) ).

fof(f1109,plain,
    ( e1 != op(e1,e3)
    | ~ spl0_13 ),
    inference(forward_demodulation,[status(thm)],[f288,f96]) ).

fof(f1110,plain,
    ( ~ spl0_29
    | ~ spl0_13 ),
    inference(split_clause,[status(thm)],[f1109,f339,f287]) ).

fof(f1116,plain,
    ( op(e0,e1) != e1
    | ~ spl0_13 ),
    inference(forward_demodulation,[status(thm)],[f288,f106]) ).

fof(f1122,plain,
    ( e1 != op(e2,op(e0,e0))
    | ~ spl0_2
    | spl0_81 ),
    inference(forward_demodulation,[status(thm)],[f252,f554]) ).

fof(f1123,plain,
    ( e1 != op(e2,e2)
    | ~ spl0_2
    | spl0_81 ),
    inference(forward_demodulation,[status(thm)],[f252,f1122]) ).

fof(f1126,plain,
    ( e3 != op(op(e2,op(e0,e0)),op(e0,e0))
    | ~ spl0_2
    | spl0_83 ),
    inference(forward_demodulation,[status(thm)],[f252,f562]) ).

fof(f1127,plain,
    ( e3 != op(op(e2,e2),op(e0,e0))
    | ~ spl0_2
    | spl0_83 ),
    inference(forward_demodulation,[status(thm)],[f252,f1126]) ).

fof(f1128,plain,
    ( e3 != op(op(e2,e2),e2)
    | ~ spl0_2
    | spl0_83 ),
    inference(forward_demodulation,[status(thm)],[f252,f1127]) ).

fof(f1132,plain,
    ( e3 != op(e2,op(e0,e0))
    | ~ spl0_2
    | spl0_91 ),
    inference(forward_demodulation,[status(thm)],[f252,f596]) ).

fof(f1145,plain,
    ( $false
    | ~ spl0_2
    | spl0_81
    | ~ spl0_41 ),
    inference(forward_subsumption_resolution,[status(thm)],[f379,f1123]) ).

fof(f1146,plain,
    ( ~ spl0_2
    | spl0_81
    | ~ spl0_41 ),
    inference(contradiction_clause,[status(thm)],[f1145]) ).

fof(f1147,plain,
    ( e3 != op(e3,e0)
    | ~ spl0_35 ),
    inference(backward_demodulation,[status(thm)],[f359,f83]) ).

fof(f1150,plain,
    ( op(e1,e1) != e3
    | ~ spl0_31 ),
    inference(backward_demodulation,[status(thm)],[f346,f112]) ).

fof(f1152,plain,
    ( op(e0,e3) != e3
    | ~ spl0_31 ),
    inference(backward_demodulation,[status(thm)],[f346,f96]) ).

fof(f1163,plain,
    ( e1 != op(e1,e2)
    | ~ spl0_17 ),
    inference(backward_demodulation,[status(thm)],[f301,f109]) ).

fof(f1164,plain,
    ( ~ spl0_25
    | ~ spl0_17 ),
    inference(split_clause,[status(thm)],[f1163,f326,f300]) ).

fof(f1165,plain,
    ( e1 != op(e3,e0)
    | ~ spl0_17 ),
    inference(backward_demodulation,[status(thm)],[f301,f82]) ).

fof(f1166,plain,
    ( ~ spl0_49
    | ~ spl0_17 ),
    inference(split_clause,[status(thm)],[f1165,f404,f300]) ).

fof(f1169,plain,
    ( e0 = e1
    | ~ spl0_16
    | ~ spl0_17 ),
    inference(forward_demodulation,[status(thm)],[f298,f301]) ).

fof(f1170,plain,
    ( $false
    | ~ spl0_16
    | ~ spl0_17 ),
    inference(forward_subsumption_resolution,[status(thm)],[f1169,f126]) ).

fof(f1171,plain,
    ( ~ spl0_16
    | ~ spl0_17 ),
    inference(contradiction_clause,[status(thm)],[f1170]) ).

fof(f1174,plain,
    ( op(e2,e1) != e2
    | ~ spl0_54 ),
    inference(backward_demodulation,[status(thm)],[f421,f89]) ).

fof(f1175,plain,
    ( ~ spl0_38
    | ~ spl0_54 ),
    inference(split_clause,[status(thm)],[f1174,f368,f420]) ).

fof(f1183,plain,
    ( e0 != op(e1,op(e3,e3))
    | ~ spl0_61
    | spl0_70 ),
    inference(forward_demodulation,[status(thm)],[f444,f514]) ).

fof(f1184,plain,
    ( e0 != op(e1,e1)
    | ~ spl0_61
    | spl0_70 ),
    inference(forward_demodulation,[status(thm)],[f444,f1183]) ).

fof(f1187,plain,
    ( e2 != op(e1,op(e3,e3))
    | ~ spl0_61
    | spl0_86 ),
    inference(forward_demodulation,[status(thm)],[f444,f574]) ).

fof(f1197,plain,
    ( op(e0,e1) != e0
    | ~ spl0_36 ),
    inference(backward_demodulation,[status(thm)],[f363,f85]) ).

fof(f1198,plain,
    ( ~ spl0_4
    | ~ spl0_36 ),
    inference(split_clause,[status(thm)],[f1197,f258,f362]) ).

fof(f1203,plain,
    ( e3 != op(e2,e3)
    | ~ spl0_31 ),
    inference(backward_demodulation,[status(thm)],[f346,f99]) ).

fof(f1204,plain,
    ( ~ spl0_47
    | ~ spl0_31 ),
    inference(split_clause,[status(thm)],[f1203,f397,f345]) ).

fof(f1218,plain,
    ( e2 != op(e0,e3)
    | ~ spl0_10 ),
    inference(forward_demodulation,[status(thm)],[f278,f107]) ).

fof(f1219,plain,
    ( e2 != e2
    | ~ spl0_14
    | ~ spl0_10 ),
    inference(forward_demodulation,[status(thm)],[f291,f1218]) ).

fof(f1220,plain,
    ( $false
    | ~ spl0_14
    | ~ spl0_10 ),
    inference(trivial_equality_resolution,[status(esa)],[f1219]) ).

fof(f1221,plain,
    ( ~ spl0_14
    | ~ spl0_10 ),
    inference(contradiction_clause,[status(thm)],[f1220]) ).

fof(f1222,plain,
    ( e1 != op(e2,e3)
    | ~ spl0_29 ),
    inference(backward_demodulation,[status(thm)],[f340,f99]) ).

fof(f1223,plain,
    ( ~ spl0_45
    | ~ spl0_29 ),
    inference(split_clause,[status(thm)],[f1222,f391,f339]) ).

fof(f1228,plain,
    ( ~ spl0_29
    | ~ spl0_21 ),
    inference(split_clause,[status(thm)],[f697,f339,f313]) ).

fof(f1229,plain,
    ( ~ spl0_53
    | ~ spl0_21 ),
    inference(split_clause,[status(thm)],[f730,f417,f313]) ).

fof(f1231,plain,
    ( e3 != op(e1,e1)
    | ~ spl0_19 ),
    inference(backward_demodulation,[status(thm)],[f307,f108]) ).

fof(f1235,plain,
    ( op(e3,e0) != e3
    | ~ spl0_59 ),
    inference(backward_demodulation,[status(thm)],[f437,f121]) ).

fof(f1236,plain,
    ( ~ spl0_51
    | ~ spl0_59 ),
    inference(split_clause,[status(thm)],[f1235,f410,f436]) ).

fof(f1237,plain,
    ( e3 != op(e3,e3)
    | ~ spl0_59 ),
    inference(backward_demodulation,[status(thm)],[f437,f125]) ).

fof(f1238,plain,
    ( op(e0,e2) != e3
    | ~ spl0_59 ),
    inference(backward_demodulation,[status(thm)],[f437,f92]) ).

fof(f1239,plain,
    ( ~ spl0_11
    | ~ spl0_59 ),
    inference(split_clause,[status(thm)],[f1238,f280,f436]) ).

fof(f1248,plain,
    ( e3 != op(e3,e1)
    | ~ spl0_51 ),
    inference(forward_demodulation,[status(thm)],[f411,f120]) ).

fof(f1250,plain,
    ( e3 != op(e3,e0)
    | ~ spl0_19 ),
    inference(forward_demodulation,[status(thm)],[f307,f82]) ).

fof(f1251,plain,
    ( e3 != e3
    | ~ spl0_51
    | ~ spl0_19 ),
    inference(forward_demodulation,[status(thm)],[f411,f1250]) ).

fof(f1252,plain,
    ( $false
    | ~ spl0_51
    | ~ spl0_19 ),
    inference(trivial_equality_resolution,[status(esa)],[f1251]) ).

fof(f1253,plain,
    ( ~ spl0_51
    | ~ spl0_19 ),
    inference(contradiction_clause,[status(thm)],[f1252]) ).

fof(f1261,plain,
    ( op(e3,e1) != e3
    | ~ spl0_59 ),
    inference(forward_demodulation,[status(thm)],[f437,f123]) ).

fof(f1274,plain,
    ( op(e3,e2) != e2
    | ~ spl0_62 ),
    inference(backward_demodulation,[status(thm)],[f447,f125]) ).

fof(f1279,plain,
    ( op(e1,e0) != e1
    | ~ spl0_29 ),
    inference(forward_demodulation,[status(thm)],[f340,f110]) ).

fof(f1283,plain,
    ( e2 != op(e1,e3)
    | ~ spl0_22 ),
    inference(forward_demodulation,[status(thm)],[f317,f112]) ).

fof(f1295,plain,
    ( e0 != op(e2,op(e3,e3))
    | ~ spl0_62
    | spl0_70 ),
    inference(forward_demodulation,[status(thm)],[f447,f514]) ).

fof(f1296,plain,
    ( e0 != op(e2,e2)
    | ~ spl0_62
    | spl0_70 ),
    inference(forward_demodulation,[status(thm)],[f447,f1295]) ).

fof(f1323,plain,
    ( e1 != op(op(op(e3,e3),op(e3,e3)),e2)
    | ~ spl0_62
    | spl0_71 ),
    inference(backward_demodulation,[status(thm)],[f447,f517]) ).

fof(f1324,plain,
    ( e1 != op(op(e2,op(e3,e3)),e2)
    | ~ spl0_62
    | spl0_71 ),
    inference(forward_demodulation,[status(thm)],[f447,f1323]) ).

fof(f1325,plain,
    ( e1 != op(op(e2,e2),e2)
    | ~ spl0_62
    | spl0_71 ),
    inference(forward_demodulation,[status(thm)],[f447,f1324]) ).

fof(f1356,plain,
    ( e0 != op(e2,op(e1,e1))
    | ~ spl0_22
    | spl0_72 ),
    inference(forward_demodulation,[status(thm)],[f317,f521]) ).

fof(f1357,plain,
    ( e3 != op(e2,op(e1,e1))
    | ~ spl0_22
    | spl0_89 ),
    inference(forward_demodulation,[status(thm)],[f317,f588]) ).

fof(f1371,plain,
    ( $false
    | ~ spl0_29
    | ~ spl0_17 ),
    inference(forward_subsumption_resolution,[status(thm)],[f301,f1279]) ).

fof(f1372,plain,
    ( ~ spl0_29
    | ~ spl0_17 ),
    inference(contradiction_clause,[status(thm)],[f1371]) ).

fof(f1374,plain,
    ( e2 != op(e3,e2)
    | ~ spl0_26 ),
    inference(backward_demodulation,[status(thm)],[f330,f94]) ).

fof(f1375,plain,
    ( ~ spl0_51
    | ~ spl0_35 ),
    inference(split_clause,[status(thm)],[f1147,f410,f358]) ).

fof(f1377,plain,
    ( e3 != op(e1,e1)
    | ~ spl0_7 ),
    inference(backward_demodulation,[status(thm)],[f268,f84]) ).

fof(f1381,plain,
    ( ~ spl0_15
    | ~ spl0_31 ),
    inference(split_clause,[status(thm)],[f1152,f293,f345]) ).

fof(f1382,plain,
    ( $false
    | ~ spl0_35
    | ~ spl0_43 ),
    inference(forward_subsumption_resolution,[status(thm)],[f385,f1101]) ).

fof(f1383,plain,
    ( ~ spl0_35
    | ~ spl0_43 ),
    inference(contradiction_clause,[status(thm)],[f1382]) ).

fof(f1387,plain,
    ( e2 != op(e1,e1)
    | ~ spl0_61
    | spl0_86 ),
    inference(forward_demodulation,[status(thm)],[f444,f1187]) ).

fof(f1388,plain,
    ( e2 != e2
    | ~ spl0_22
    | ~ spl0_61
    | spl0_86 ),
    inference(forward_demodulation,[status(thm)],[f317,f1387]) ).

fof(f1389,plain,
    ( $false
    | ~ spl0_22
    | ~ spl0_61
    | spl0_86 ),
    inference(trivial_equality_resolution,[status(esa)],[f1388]) ).

fof(f1390,plain,
    ( ~ spl0_22
    | ~ spl0_61
    | spl0_86 ),
    inference(contradiction_clause,[status(thm)],[f1389]) ).

fof(f1394,plain,
    ( ~ spl0_56
    | ~ spl0_8 ),
    inference(split_clause,[status(thm)],[f1008,f427,f271]) ).

fof(f1395,plain,
    ( ~ spl0_4
    | ~ spl0_8 ),
    inference(split_clause,[status(thm)],[f1005,f258,f271]) ).

fof(f1397,plain,
    ( ~ spl0_7
    | ~ spl0_11 ),
    inference(split_clause,[status(thm)],[f981,f267,f280]) ).

fof(f1399,plain,
    ( e0 = e3
    | ~ spl0_8
    | ~ spl0_11 ),
    inference(forward_demodulation,[status(thm)],[f272,f281]) ).

fof(f1400,plain,
    ( $false
    | ~ spl0_8
    | ~ spl0_11 ),
    inference(forward_subsumption_resolution,[status(thm)],[f1399,f128]) ).

fof(f1401,plain,
    ( ~ spl0_8
    | ~ spl0_11 ),
    inference(contradiction_clause,[status(thm)],[f1400]) ).

fof(f1404,plain,
    ( ~ spl0_19
    | ~ spl0_3 ),
    inference(split_clause,[status(thm)],[f1055,f306,f254]) ).

fof(f1406,plain,
    ( e3 != op(e3,e3)
    | ~ spl0_3
    | spl0_91 ),
    inference(forward_demodulation,[status(thm)],[f255,f1045]) ).

fof(f1407,plain,
    ( ~ spl0_63
    | ~ spl0_3
    | spl0_91 ),
    inference(split_clause,[status(thm)],[f1406,f449,f254,f594]) ).

fof(f1410,plain,
    ( e3 != op(e3,e3)
    | ~ spl0_47 ),
    inference(backward_demodulation,[status(thm)],[f398,f101]) ).

fof(f1411,plain,
    ( ~ spl0_63
    | ~ spl0_47 ),
    inference(split_clause,[status(thm)],[f1410,f449,f397]) ).

fof(f1432,plain,
    ( op(e1,e1) != e1
    | ~ spl0_37 ),
    inference(forward_demodulation,[status(thm)],[f366,f87]) ).

fof(f1434,plain,
    ( ~ spl0_24
    | ~ spl0_20 ),
    inference(split_clause,[status(thm)],[f901,f323,f310]) ).

fof(f1435,plain,
    ( ~ spl0_52
    | ~ spl0_20 ),
    inference(split_clause,[status(thm)],[f902,f414,f310]) ).

fof(f1443,plain,
    ( ~ spl0_55
    | ~ spl0_59 ),
    inference(split_clause,[status(thm)],[f1261,f423,f436]) ).

fof(f1444,plain,
    ( ~ spl0_63
    | ~ spl0_59 ),
    inference(split_clause,[status(thm)],[f1237,f449,f436]) ).

fof(f1457,plain,
    ( e2 != op(e3,e2)
    | ~ spl0_50 ),
    inference(backward_demodulation,[status(thm)],[f408,f121]) ).

fof(f1464,plain,
    ( e0 != op(e2,e3)
    | ~ spl0_12 ),
    inference(backward_demodulation,[status(thm)],[f285,f97]) ).

fof(f1512,plain,
    ( op(e0,e1) != e0
    | ~ spl0_20 ),
    inference(backward_demodulation,[status(thm)],[f311,f84]) ).

fof(f1513,plain,
    ( ~ spl0_4
    | ~ spl0_20 ),
    inference(split_clause,[status(thm)],[f1512,f258,f310]) ).

fof(f1527,plain,
    ( ~ spl0_28
    | ~ spl0_20 ),
    inference(split_clause,[status(thm)],[f903,f336,f310]) ).

fof(f1530,plain,
    ( ~ spl0_55
    | ~ spl0_51 ),
    inference(split_clause,[status(thm)],[f1248,f423,f410]) ).

fof(f1536,plain,
    ( op(e1,e0) != e3
    | ~ spl0_31 ),
    inference(backward_demodulation,[status(thm)],[f346,f110]) ).

fof(f1539,plain,
    ( op(e1,e2) != e3
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f346,f113]) ).

fof(f1540,plain,
    ( ~ spl0_27
    | ~ spl0_31 ),
    inference(split_clause,[status(thm)],[f1539,f332,f345]) ).

fof(f1546,plain,
    ( e1 != op(e2,e1)
    | ~ spl0_33 ),
    inference(backward_demodulation,[status(thm)],[f353,f114]) ).

fof(f1547,plain,
    ( ~ spl0_37
    | ~ spl0_33 ),
    inference(split_clause,[status(thm)],[f1546,f365,f352]) ).

fof(f1551,plain,
    ( op(e0,e1) != e1
    | ~ spl0_21 ),
    inference(backward_demodulation,[status(thm)],[f314,f84]) ).

fof(f1552,plain,
    ( ~ spl0_5
    | ~ spl0_21 ),
    inference(split_clause,[status(thm)],[f1551,f261,f313]) ).

fof(f1554,plain,
    ( e0 = e1
    | ~ spl0_20
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f311,f314]) ).

fof(f1555,plain,
    ( $false
    | ~ spl0_20
    | ~ spl0_21 ),
    inference(forward_subsumption_resolution,[status(thm)],[f1554,f126]) ).

fof(f1556,plain,
    ( ~ spl0_20
    | ~ spl0_21 ),
    inference(contradiction_clause,[status(thm)],[f1555]) ).

fof(f1558,plain,
    ( ~ spl0_12
    | ~ spl0_8 ),
    inference(split_clause,[status(thm)],[f1006,f284,f271]) ).

fof(f1561,plain,
    ( op(e0,e1) != e3
    | ~ spl0_55 ),
    inference(backward_demodulation,[status(thm)],[f424,f86]) ).

fof(f1562,plain,
    ( ~ spl0_7
    | ~ spl0_55 ),
    inference(split_clause,[status(thm)],[f1561,f267,f423]) ).

fof(f1563,plain,
    ( ~ spl0_19
    | ~ spl0_27 ),
    inference(split_clause,[status(thm)],[f773,f306,f332]) ).

fof(f1567,plain,
    ( e1 != op(e3,e1)
    | ~ spl0_37 ),
    inference(backward_demodulation,[status(thm)],[f366,f89]) ).

fof(f1581,plain,
    ( $false
    | ~ spl0_27
    | ~ spl0_43 ),
    inference(forward_subsumption_resolution,[status(thm)],[f385,f774]) ).

fof(f1582,plain,
    ( ~ spl0_27
    | ~ spl0_43 ),
    inference(contradiction_clause,[status(thm)],[f1581]) ).

fof(f1585,plain,
    ( e2 != op(e3,e3)
    | ~ spl0_30 ),
    inference(backward_demodulation,[status(thm)],[f343,f100]) ).

fof(f1594,plain,
    ( op(e0,e1) != e0
    | ~ spl0_12 ),
    inference(backward_demodulation,[status(thm)],[f285,f106]) ).

fof(f1595,plain,
    ( ~ spl0_4
    | ~ spl0_12 ),
    inference(split_clause,[status(thm)],[f1594,f258,f284]) ).

fof(f1600,plain,
    ( ~ spl0_44
    | ~ spl0_12 ),
    inference(split_clause,[status(thm)],[f1464,f388,f284]) ).

fof(f1604,plain,
    ( e0 = e3
    | ~ spl0_12
    | ~ spl0_15 ),
    inference(forward_demodulation,[status(thm)],[f285,f294]) ).

fof(f1605,plain,
    ( $false
    | ~ spl0_12
    | ~ spl0_15 ),
    inference(forward_subsumption_resolution,[status(thm)],[f1604,f128]) ).

fof(f1606,plain,
    ( ~ spl0_12
    | ~ spl0_15 ),
    inference(contradiction_clause,[status(thm)],[f1605]) ).

fof(f1608,plain,
    ( e1 != op(e2,e0)
    | ~ spl0_1 ),
    inference(backward_demodulation,[status(thm)],[f249,f79]) ).

fof(f1609,plain,
    ( ~ spl0_33
    | ~ spl0_1 ),
    inference(split_clause,[status(thm)],[f1608,f352,f248]) ).

fof(f1610,plain,
    ( e2 != op(op(e0,e0),e1)
    | ~ spl0_1
    | spl0_87 ),
    inference(backward_demodulation,[status(thm)],[f249,f578]) ).

fof(f1619,plain,
    ( e0 != op(e1,e1)
    | ~ spl0_16 ),
    inference(backward_demodulation,[status(thm)],[f298,f108]) ).

fof(f1620,plain,
    ( ~ spl0_20
    | ~ spl0_16 ),
    inference(split_clause,[status(thm)],[f1619,f310,f297]) ).

fof(f1625,plain,
    ( e1 != op(e0,e2)
    | ~ spl0_1 ),
    inference(forward_demodulation,[status(thm)],[f249,f103]) ).

fof(f1632,plain,
    ( ~ spl0_33
    | ~ spl0_41 ),
    inference(split_clause,[status(thm)],[f1057,f352,f378]) ).

fof(f1637,plain,
    ( ~ spl0_20
    | ~ spl0_41
    | spl0_68 ),
    inference(split_clause,[status(thm)],[f1067,f310,f378,f505]) ).

fof(f1684,plain,
    ( e2 != op(e1,e1)
    | ~ spl0_1
    | spl0_87 ),
    inference(backward_demodulation,[status(thm)],[f249,f1610]) ).

fof(f1685,plain,
    ( ~ spl0_22
    | ~ spl0_1
    | spl0_87 ),
    inference(split_clause,[status(thm)],[f1684,f316,f248,f576]) ).

fof(f1702,plain,
    ( e1 = e3
    | ~ spl0_29
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f340,f346]) ).

fof(f1703,plain,
    ( $false
    | ~ spl0_29
    | ~ spl0_31 ),
    inference(forward_subsumption_resolution,[status(thm)],[f1702,f130]) ).

fof(f1704,plain,
    ( ~ spl0_29
    | ~ spl0_31 ),
    inference(contradiction_clause,[status(thm)],[f1703]) ).

fof(f1715,plain,
    ( e0 != op(op(e3,op(e2,e2)),op(e2,e2))
    | ~ spl0_43
    | spl0_78 ),
    inference(forward_demodulation,[status(thm)],[f385,f543]) ).

fof(f1716,plain,
    ( e0 != op(op(e3,e3),op(e2,e2))
    | ~ spl0_43
    | spl0_78 ),
    inference(forward_demodulation,[status(thm)],[f385,f1715]) ).

fof(f1717,plain,
    ( e0 != op(op(e3,e3),e3)
    | ~ spl0_43
    | spl0_78 ),
    inference(forward_demodulation,[status(thm)],[f385,f1716]) ).

fof(f1720,plain,
    ( ~ spl0_58
    | ~ spl0_26 ),
    inference(split_clause,[status(thm)],[f1374,f433,f329]) ).

fof(f1721,plain,
    ( ~ spl0_18
    | ~ spl0_26 ),
    inference(split_clause,[status(thm)],[f1021,f303,f329]) ).

fof(f1726,plain,
    ( e1 != op(e2,e3)
    | ~ spl0_37 ),
    inference(backward_demodulation,[status(thm)],[f366,f118]) ).

fof(f1727,plain,
    ( ~ spl0_45
    | ~ spl0_37 ),
    inference(split_clause,[status(thm)],[f1726,f391,f365]) ).

fof(f1730,plain,
    ( ~ spl0_53
    | ~ spl0_37 ),
    inference(split_clause,[status(thm)],[f1567,f417,f365]) ).

fof(f1752,plain,
    ( e2 != op(e2,e3)
    | ~ spl0_14 ),
    inference(backward_demodulation,[status(thm)],[f291,f97]) ).

fof(f1753,plain,
    ( ~ spl0_46
    | ~ spl0_14 ),
    inference(split_clause,[status(thm)],[f1752,f394,f290]) ).

fof(f1767,plain,
    ( e3 != op(e3,e0)
    | ~ spl0_3 ),
    inference(backward_demodulation,[status(thm)],[f255,f80]) ).

fof(f1768,plain,
    ( ~ spl0_51
    | ~ spl0_3 ),
    inference(split_clause,[status(thm)],[f1767,f410,f254]) ).

fof(f1770,plain,
    ( ~ spl0_7
    | ~ spl0_3 ),
    inference(split_clause,[status(thm)],[f1054,f267,f254]) ).

fof(f1799,plain,
    ( e2 = e1
    | ~ spl0_46
    | ~ spl0_45 ),
    inference(forward_demodulation,[status(thm)],[f395,f392]) ).

fof(f1800,plain,
    ( $false
    | ~ spl0_46
    | ~ spl0_45 ),
    inference(forward_subsumption_resolution,[status(thm)],[f1799,f129]) ).

fof(f1801,plain,
    ( ~ spl0_46
    | ~ spl0_45 ),
    inference(contradiction_clause,[status(thm)],[f1800]) ).

fof(f1802,plain,
    ( e3 != op(e2,e2)
    | ~ spl0_2
    | spl0_91 ),
    inference(forward_demodulation,[status(thm)],[f252,f1132]) ).

fof(f1803,plain,
    ( e0 != op(e2,e2)
    | ~ spl0_22
    | spl0_72 ),
    inference(forward_demodulation,[status(thm)],[f317,f1356]) ).

fof(f1804,plain,
    ( ~ spl0_40
    | ~ spl0_22
    | spl0_72 ),
    inference(split_clause,[status(thm)],[f1803,f375,f316,f519]) ).

fof(f1806,plain,
    ( e2 != op(e2,e1)
    | ~ spl0_22 ),
    inference(backward_demodulation,[status(thm)],[f317,f87]) ).

fof(f1807,plain,
    ( ~ spl0_38
    | ~ spl0_22 ),
    inference(split_clause,[status(thm)],[f1806,f368,f316]) ).

fof(f1808,plain,
    ( ~ spl0_30
    | ~ spl0_22 ),
    inference(split_clause,[status(thm)],[f1283,f342,f316]) ).

fof(f1821,plain,
    ( ~ spl0_62
    | ~ spl0_30 ),
    inference(split_clause,[status(thm)],[f1585,f446,f342]) ).

fof(f1841,plain,
    ( e2 = e1
    | ~ spl0_30
    | ~ spl0_29 ),
    inference(forward_demodulation,[status(thm)],[f343,f340]) ).

fof(f1842,plain,
    ( $false
    | ~ spl0_30
    | ~ spl0_29 ),
    inference(forward_subsumption_resolution,[status(thm)],[f1841,f129]) ).

fof(f1843,plain,
    ( ~ spl0_30
    | ~ spl0_29 ),
    inference(contradiction_clause,[status(thm)],[f1842]) ).

fof(f1846,plain,
    ( ~ spl0_24
    | ~ spl0_8 ),
    inference(split_clause,[status(thm)],[f1007,f323,f271]) ).

fof(f1855,plain,
    ( e1 != op(op(e3,e3),e0)
    | ~ spl0_60
    | spl0_79 ),
    inference(backward_demodulation,[status(thm)],[f441,f547]) ).

fof(f1868,plain,
    ( e2 != op(e2,e0)
    | ~ spl0_18 ),
    inference(backward_demodulation,[status(thm)],[f304,f81]) ).

fof(f1880,plain,
    ( ~ spl0_5
    | ~ spl0_13 ),
    inference(split_clause,[status(thm)],[f1116,f261,f287]) ).

fof(f1882,plain,
    ( e0 != op(e2,e2)
    | ~ spl0_8 ),
    inference(backward_demodulation,[status(thm)],[f272,f91]) ).

fof(f1883,plain,
    ( ~ spl0_40
    | ~ spl0_8 ),
    inference(split_clause,[status(thm)],[f1882,f375,f271]) ).

fof(f1888,plain,
    ( e0 != op(e2,e2)
    | ~ spl0_36 ),
    inference(backward_demodulation,[status(thm)],[f363,f117]) ).

fof(f1889,plain,
    ( ~ spl0_40
    | ~ spl0_36 ),
    inference(split_clause,[status(thm)],[f1888,f375,f362]) ).

fof(f1893,plain,
    ( e3 != op(e2,e0)
    | ~ spl0_3 ),
    inference(backward_demodulation,[status(thm)],[f255,f79]) ).

fof(f1894,plain,
    ( ~ spl0_35
    | ~ spl0_3 ),
    inference(split_clause,[status(thm)],[f1893,f358,f254]) ).

fof(f1910,plain,
    ( e1 != op(e2,e1)
    | ~ spl0_5 ),
    inference(backward_demodulation,[status(thm)],[f262,f85]) ).

fof(f1911,plain,
    ( ~ spl0_37
    | ~ spl0_5 ),
    inference(split_clause,[status(thm)],[f1910,f365,f261]) ).

fof(f1914,plain,
    ( ~ spl0_62
    | ~ spl0_23
    | spl0_84 ),
    inference(split_clause,[status(thm)],[f959,f446,f319,f565]) ).

fof(f1928,plain,
    ( e0 != op(e3,e3)
    | ~ spl0_28 ),
    inference(backward_demodulation,[status(thm)],[f337,f100]) ).

fof(f1943,plain,
    ( op(e0,e2) != e3
    | ~ spl0_43 ),
    inference(forward_demodulation,[status(thm)],[f385,f91]) ).

fof(f1962,plain,
    ( ~ spl0_43
    | ~ spl0_2
    | spl0_91 ),
    inference(split_clause,[status(thm)],[f1802,f384,f251,f594]) ).

fof(f1966,plain,
    ( e2 != op(e2,e3)
    | ~ spl0_38 ),
    inference(backward_demodulation,[status(thm)],[f369,f118]) ).

fof(f1967,plain,
    ( ~ spl0_46
    | ~ spl0_38 ),
    inference(split_clause,[status(thm)],[f1966,f394,f368]) ).

fof(f1968,plain,
    ( e1 = e2
    | ~ spl0_37
    | ~ spl0_38 ),
    inference(forward_demodulation,[status(thm)],[f366,f369]) ).

fof(f1969,plain,
    ( $false
    | ~ spl0_37
    | ~ spl0_38 ),
    inference(forward_subsumption_resolution,[status(thm)],[f1968,f129]) ).

fof(f1970,plain,
    ( ~ spl0_37
    | ~ spl0_38 ),
    inference(contradiction_clause,[status(thm)],[f1969]) ).

fof(f1980,plain,
    ( e2 != op(e2,e0)
    | ~ spl0_2 ),
    inference(backward_demodulation,[status(thm)],[f252,f79]) ).

fof(f1981,plain,
    ( ~ spl0_34
    | ~ spl0_2 ),
    inference(split_clause,[status(thm)],[f1980,f355,f251]) ).

fof(f1982,plain,
    ( e2 != op(e1,e0)
    | ~ spl0_2 ),
    inference(backward_demodulation,[status(thm)],[f252,f78]) ).

fof(f1983,plain,
    ( ~ spl0_18
    | ~ spl0_2 ),
    inference(split_clause,[status(thm)],[f1982,f303,f251]) ).

fof(f1997,plain,
    ( e3 != op(e3,e1)
    | ~ spl0_23 ),
    inference(backward_demodulation,[status(thm)],[f320,f88]) ).

fof(f1998,plain,
    ( ~ spl0_55
    | ~ spl0_23 ),
    inference(split_clause,[status(thm)],[f1997,f423,f319]) ).

fof(f2002,plain,
    ( e0 != op(op(e3,op(e1,e1)),op(e1,e1))
    | ~ spl0_23
    | spl0_85 ),
    inference(forward_demodulation,[status(thm)],[f320,f570]) ).

fof(f2003,plain,
    ( e0 != op(op(e3,e3),op(e1,e1))
    | ~ spl0_23
    | spl0_85 ),
    inference(forward_demodulation,[status(thm)],[f320,f2002]) ).

fof(f2004,plain,
    ( e0 != op(op(e3,e3),e3)
    | ~ spl0_23
    | spl0_85 ),
    inference(forward_demodulation,[status(thm)],[f320,f2003]) ).

fof(f2020,plain,
    ( ~ spl0_34
    | ~ spl0_18 ),
    inference(split_clause,[status(thm)],[f1868,f355,f303]) ).

fof(f2022,plain,
    ( ~ spl0_54
    | ~ spl0_58 ),
    inference(split_clause,[status(thm)],[f947,f420,f433]) ).

fof(f2065,plain,
    ( e1 != op(op(e2,e2),e3)
    | ~ spl0_43
    | spl0_77 ),
    inference(backward_demodulation,[status(thm)],[f385,f540]) ).

fof(f2080,plain,
    ( e1 != op(e3,e2)
    | ~ spl0_43
    | ~ spl0_62
    | spl0_71 ),
    inference(forward_demodulation,[status(thm)],[f385,f1325]) ).

fof(f2152,plain,
    ( $false
    | ~ spl0_43
    | ~ spl0_62
    | spl0_71
    | ~ spl0_57 ),
    inference(forward_subsumption_resolution,[status(thm)],[f431,f2080]) ).

fof(f2153,plain,
    ( ~ spl0_43
    | ~ spl0_62
    | spl0_71
    | ~ spl0_57 ),
    inference(contradiction_clause,[status(thm)],[f2152]) ).

fof(f2158,plain,
    ( op(e0,e2) != e2
    | ~ spl0_26 ),
    inference(backward_demodulation,[status(thm)],[f330,f90]) ).

fof(f2159,plain,
    ( ~ spl0_10
    | ~ spl0_26 ),
    inference(split_clause,[status(thm)],[f2158,f277,f329]) ).

fof(f2160,plain,
    ( op(e1,e1) != e2
    | ~ spl0_26 ),
    inference(backward_demodulation,[status(thm)],[f330,f111]) ).

fof(f2165,plain,
    ( op(e0,e1) != e3
    | ~ spl0_15 ),
    inference(backward_demodulation,[status(thm)],[f294,f106]) ).

fof(f2175,plain,
    ( e0 != op(e3,e0)
    | ~ spl0_16 ),
    inference(backward_demodulation,[status(thm)],[f298,f82]) ).

fof(f2176,plain,
    ( ~ spl0_48
    | ~ spl0_16 ),
    inference(split_clause,[status(thm)],[f2175,f401,f297]) ).

fof(f2179,plain,
    ( op(e1,e2) != e1
    | ~ spl0_29 ),
    inference(backward_demodulation,[status(thm)],[f340,f113]) ).

fof(f2180,plain,
    ( ~ spl0_25
    | ~ spl0_29 ),
    inference(split_clause,[status(thm)],[f2179,f326,f339]) ).

fof(f2202,plain,
    ( e2 = e3
    | ~ spl0_34
    | ~ spl0_35 ),
    inference(forward_demodulation,[status(thm)],[f356,f359]) ).

fof(f2203,plain,
    ( $false
    | ~ spl0_34
    | ~ spl0_35 ),
    inference(forward_subsumption_resolution,[status(thm)],[f2202,f131]) ).

fof(f2204,plain,
    ( ~ spl0_34
    | ~ spl0_35 ),
    inference(contradiction_clause,[status(thm)],[f2203]) ).

fof(f2225,plain,
    ( e1 != op(e0,e0)
    | ~ spl0_60
    | spl0_79 ),
    inference(backward_demodulation,[status(thm)],[f441,f1855]) ).

fof(f2226,plain,
    ( ~ spl0_1
    | ~ spl0_60
    | spl0_79 ),
    inference(split_clause,[status(thm)],[f2225,f248,f440,f545]) ).

fof(f2248,plain,
    ( e2 != op(op(e0,op(e3,e3)),op(e3,e3))
    | ~ spl0_60
    | spl0_74 ),
    inference(forward_demodulation,[status(thm)],[f441,f528]) ).

fof(f2249,plain,
    ( e2 != op(op(e0,e0),op(e3,e3))
    | ~ spl0_60
    | spl0_74 ),
    inference(forward_demodulation,[status(thm)],[f441,f2248]) ).

fof(f2250,plain,
    ( e2 != op(e1,op(e3,e3))
    | ~ spl0_1
    | ~ spl0_60
    | spl0_74 ),
    inference(forward_demodulation,[status(thm)],[f249,f2249]) ).

fof(f2251,plain,
    ( e2 != op(e1,e0)
    | ~ spl0_1
    | ~ spl0_60
    | spl0_74 ),
    inference(forward_demodulation,[status(thm)],[f441,f2250]) ).

fof(f2268,plain,
    ( e1 != op(op(e0,op(e3,e3)),op(e3,e3))
    | ~ spl0_60
    | spl0_71 ),
    inference(forward_demodulation,[status(thm)],[f441,f517]) ).

fof(f2269,plain,
    ( e1 != op(op(e0,e0),op(e3,e3))
    | ~ spl0_60
    | spl0_71 ),
    inference(forward_demodulation,[status(thm)],[f441,f2268]) ).

fof(f2273,plain,
    ( ~ spl0_7
    | ~ spl0_15 ),
    inference(split_clause,[status(thm)],[f2165,f267,f293]) ).

fof(f2292,plain,
    ( ~ spl0_58
    | ~ spl0_62 ),
    inference(split_clause,[status(thm)],[f1274,f433,f446]) ).

fof(f2293,plain,
    ( ~ spl0_10
    | ~ spl0_58 ),
    inference(split_clause,[status(thm)],[f953,f277,f433]) ).

fof(f2300,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_60
    | spl0_74
    | ~ spl0_18 ),
    inference(forward_subsumption_resolution,[status(thm)],[f304,f2251]) ).

fof(f2301,plain,
    ( ~ spl0_1
    | ~ spl0_60
    | spl0_74
    | ~ spl0_18 ),
    inference(contradiction_clause,[status(thm)],[f2300]) ).

fof(f2313,plain,
    ( ~ spl0_22
    | ~ spl0_26 ),
    inference(split_clause,[status(thm)],[f2160,f316,f329]) ).

fof(f2327,plain,
    ( e3 != op(e3,e3)
    | ~ spl0_55 ),
    inference(backward_demodulation,[status(thm)],[f424,f124]) ).

fof(f2350,plain,
    ( e0 != op(e2,op(e3,e3))
    | ~ spl0_86
    | spl0_80 ),
    inference(backward_demodulation,[status(thm)],[f573,f550]) ).

fof(f2355,plain,
    ( e3 != op(e2,op(e0,e0))
    | ~ spl0_87
    | spl0_83 ),
    inference(backward_demodulation,[status(thm)],[f577,f562]) ).

fof(f2371,plain,
    ( ~ spl0_2
    | ~ spl0_50 ),
    inference(split_clause,[status(thm)],[f869,f251,f407]) ).

fof(f2372,plain,
    ( ~ spl0_58
    | ~ spl0_50 ),
    inference(split_clause,[status(thm)],[f1457,f433,f407]) ).

fof(f2374,plain,
    ( op(e0,e0) != e1
    | ~ spl0_17 ),
    inference(backward_demodulation,[status(thm)],[f301,f78]) ).

fof(f2375,plain,
    ( ~ spl0_1
    | ~ spl0_17 ),
    inference(split_clause,[status(thm)],[f2374,f248,f300]) ).

fof(f2412,plain,
    ( e3 != op(e2,e2)
    | ~ spl0_22
    | spl0_89 ),
    inference(forward_demodulation,[status(thm)],[f317,f1357]) ).

fof(f2420,plain,
    ( e0 != op(e2,e3)
    | ~ spl0_32 ),
    inference(backward_demodulation,[status(thm)],[f350,f116]) ).

fof(f2428,plain,
    ( e3 = e0
    | ~ spl0_55
    | ~ spl0_52 ),
    inference(forward_demodulation,[status(thm)],[f424,f415]) ).

fof(f2429,plain,
    ( $false
    | ~ spl0_55
    | ~ spl0_52 ),
    inference(forward_subsumption_resolution,[status(thm)],[f2428,f128]) ).

fof(f2430,plain,
    ( ~ spl0_55
    | ~ spl0_52 ),
    inference(contradiction_clause,[status(thm)],[f2429]) ).

fof(f2432,plain,
    ( ~ spl0_9
    | ~ spl0_1 ),
    inference(split_clause,[status(thm)],[f1625,f274,f248]) ).

fof(f2434,plain,
    ( op(e0,e2) != e1
    | ~ spl0_41 ),
    inference(backward_demodulation,[status(thm)],[f379,f91]) ).

fof(f2435,plain,
    ( ~ spl0_9
    | ~ spl0_41 ),
    inference(split_clause,[status(thm)],[f2434,f274,f378]) ).

fof(f2443,plain,
    ( e0 != op(e2,e3)
    | ~ spl0_62
    | ~ spl0_23
    | spl0_85 ),
    inference(backward_demodulation,[status(thm)],[f447,f2004]) ).

fof(f2482,plain,
    ( ~ spl0_23
    | ~ spl0_19 ),
    inference(split_clause,[status(thm)],[f1231,f319,f306]) ).

fof(f2487,plain,
    ( e2 = e0
    | ~ spl0_26
    | ~ spl0_24 ),
    inference(forward_demodulation,[status(thm)],[f330,f324]) ).

fof(f2488,plain,
    ( $false
    | ~ spl0_26
    | ~ spl0_24 ),
    inference(forward_subsumption_resolution,[status(thm)],[f2487,f127]) ).

fof(f2489,plain,
    ( ~ spl0_26
    | ~ spl0_24 ),
    inference(contradiction_clause,[status(thm)],[f2488]) ).

fof(f2507,plain,
    ( e3 != op(e1,e2)
    | ~ spl0_41
    | ~ spl0_2
    | spl0_83 ),
    inference(forward_demodulation,[status(thm)],[f379,f1128]) ).

fof(f2515,plain,
    ( ~ spl0_60
    | ~ spl0_28 ),
    inference(split_clause,[status(thm)],[f1928,f440,f336]) ).

fof(f2535,plain,
    ( e1 = e3
    | ~ spl0_53
    | ~ spl0_55 ),
    inference(forward_demodulation,[status(thm)],[f418,f424]) ).

fof(f2536,plain,
    ( $false
    | ~ spl0_53
    | ~ spl0_55 ),
    inference(forward_subsumption_resolution,[status(thm)],[f2535,f130]) ).

fof(f2537,plain,
    ( ~ spl0_53
    | ~ spl0_55 ),
    inference(contradiction_clause,[status(thm)],[f2536]) ).

fof(f2538,plain,
    ( ~ spl0_63
    | ~ spl0_55 ),
    inference(split_clause,[status(thm)],[f2327,f449,f423]) ).

fof(f2557,plain,
    ( ~ spl0_11
    | ~ spl0_43 ),
    inference(split_clause,[status(thm)],[f1943,f280,f384]) ).

fof(f2559,plain,
    ( e1 != op(e3,e3)
    | ~ spl0_43
    | spl0_77 ),
    inference(backward_demodulation,[status(thm)],[f385,f2065]) ).

fof(f2565,plain,
    ( e1 = e2
    | ~ spl0_86
    | ~ spl0_79 ),
    inference(forward_demodulation,[status(thm)],[f573,f546]) ).

fof(f2566,plain,
    ( $false
    | ~ spl0_86
    | ~ spl0_79 ),
    inference(forward_subsumption_resolution,[status(thm)],[f2565,f129]) ).

fof(f2567,plain,
    ( ~ spl0_86
    | ~ spl0_79 ),
    inference(contradiction_clause,[status(thm)],[f2566]) ).

fof(f2600,plain,
    ( e1 != op(e0,e3)
    | ~ spl0_1 ),
    inference(backward_demodulation,[status(thm)],[f249,f104]) ).

fof(f2601,plain,
    ( ~ spl0_13
    | ~ spl0_1 ),
    inference(split_clause,[status(thm)],[f2600,f287,f248]) ).

fof(f2610,plain,
    ( ~ spl0_43
    | ~ spl0_22
    | spl0_89 ),
    inference(split_clause,[status(thm)],[f2412,f384,f316,f586]) ).

fof(f2625,plain,
    ( $false
    | ~ spl0_43
    | spl0_77
    | ~ spl0_61 ),
    inference(forward_subsumption_resolution,[status(thm)],[f444,f2559]) ).

fof(f2626,plain,
    ( ~ spl0_43
    | spl0_77
    | ~ spl0_61 ),
    inference(contradiction_clause,[status(thm)],[f2625]) ).

fof(f2656,plain,
    ( e0 != op(op(op(e1,e1),op(e1,e1)),e2)
    | ~ spl0_22
    | spl0_85 ),
    inference(backward_demodulation,[status(thm)],[f317,f570]) ).

fof(f2657,plain,
    ( e0 != op(op(e2,op(e1,e1)),e2)
    | ~ spl0_22
    | spl0_85 ),
    inference(forward_demodulation,[status(thm)],[f317,f2656]) ).

fof(f2658,plain,
    ( e0 != op(op(e2,e2),e2)
    | ~ spl0_22
    | spl0_85 ),
    inference(forward_demodulation,[status(thm)],[f317,f2657]) ).

fof(f2748,plain,
    ( ~ spl0_27
    | ~ spl0_41
    | ~ spl0_2
    | spl0_83 ),
    inference(split_clause,[status(thm)],[f2507,f332,f378,f251,f560]) ).

fof(f2853,plain,
    ( e0 != op(e2,e1)
    | ~ spl0_61
    | ~ spl0_86
    | spl0_80 ),
    inference(backward_demodulation,[status(thm)],[f444,f2350]) ).

fof(f2854,plain,
    ( ~ spl0_36
    | ~ spl0_61
    | ~ spl0_86
    | spl0_80 ),
    inference(split_clause,[status(thm)],[f2853,f362,f443,f572,f548]) ).

fof(f2880,plain,
    ( e0 != op(e1,e3)
    | ~ spl0_61
    | ~ spl0_43
    | spl0_78 ),
    inference(forward_demodulation,[status(thm)],[f444,f1717]) ).

fof(f2881,plain,
    ( e0 != e0
    | ~ spl0_28
    | ~ spl0_61
    | ~ spl0_43
    | spl0_78 ),
    inference(forward_demodulation,[status(thm)],[f337,f2880]) ).

fof(f2882,plain,
    ( $false
    | ~ spl0_28
    | ~ spl0_61
    | ~ spl0_43
    | spl0_78 ),
    inference(trivial_equality_resolution,[status(esa)],[f2881]) ).

fof(f2883,plain,
    ( ~ spl0_28
    | ~ spl0_61
    | ~ spl0_43
    | spl0_78 ),
    inference(contradiction_clause,[status(thm)],[f2882]) ).

fof(f2891,plain,
    ( e0 != op(e2,e2)
    | ~ spl0_32 ),
    inference(backward_demodulation,[status(thm)],[f350,f115]) ).

fof(f2892,plain,
    ( ~ spl0_40
    | ~ spl0_32 ),
    inference(split_clause,[status(thm)],[f2891,f375,f349]) ).

fof(f2901,plain,
    ( e0 != op(e3,e1)
    | ~ spl0_4 ),
    inference(backward_demodulation,[status(thm)],[f259,f86]) ).

fof(f2902,plain,
    ( ~ spl0_52
    | ~ spl0_4 ),
    inference(split_clause,[status(thm)],[f2901,f414,f258]) ).

fof(f2909,plain,
    ( op(e0,e1) != e2
    | ~ spl0_10 ),
    inference(backward_demodulation,[status(thm)],[f278,f105]) ).

fof(f2910,plain,
    ( ~ spl0_6
    | ~ spl0_10 ),
    inference(split_clause,[status(thm)],[f2909,f264,f277]) ).

fof(f2929,plain,
    ( ~ spl0_21
    | ~ spl0_37 ),
    inference(split_clause,[status(thm)],[f1432,f313,f365]) ).

fof(f2965,plain,
    ( op(e1,e2) != e1
    | ~ spl0_57 ),
    inference(backward_demodulation,[status(thm)],[f431,f94]) ).

fof(f2966,plain,
    ( ~ spl0_25
    | ~ spl0_57 ),
    inference(split_clause,[status(thm)],[f2965,f326,f430]) ).

fof(f2980,plain,
    ( e3 != op(e2,e1)
    | ~ spl0_1
    | ~ spl0_87
    | spl0_83 ),
    inference(backward_demodulation,[status(thm)],[f249,f2355]) ).

fof(f2981,plain,
    ( ~ spl0_39
    | ~ spl0_1
    | ~ spl0_87
    | spl0_83 ),
    inference(split_clause,[status(thm)],[f2980,f371,f248,f576,f560]) ).

fof(f3007,plain,
    ( ~ spl0_44
    | ~ spl0_32 ),
    inference(split_clause,[status(thm)],[f2420,f388,f349]) ).

fof(f3012,plain,
    ( e0 = e2
    | ~ spl0_32
    | ~ spl0_34 ),
    inference(forward_demodulation,[status(thm)],[f350,f356]) ).

fof(f3013,plain,
    ( $false
    | ~ spl0_32
    | ~ spl0_34 ),
    inference(forward_subsumption_resolution,[status(thm)],[f3012,f127]) ).

fof(f3014,plain,
    ( ~ spl0_32
    | ~ spl0_34 ),
    inference(contradiction_clause,[status(thm)],[f3013]) ).

fof(f3040,plain,
    ( ~ spl0_40
    | ~ spl0_62
    | spl0_70 ),
    inference(split_clause,[status(thm)],[f1296,f375,f446,f512]) ).

fof(f3046,plain,
    ( e0 != op(e1,e3)
    | ~ spl0_12 ),
    inference(backward_demodulation,[status(thm)],[f285,f96]) ).

fof(f3047,plain,
    ( ~ spl0_28
    | ~ spl0_12 ),
    inference(split_clause,[status(thm)],[f3046,f336,f284]) ).

fof(f3068,plain,
    ( ~ spl0_23
    | ~ spl0_31 ),
    inference(split_clause,[status(thm)],[f1150,f319,f345]) ).

fof(f3108,plain,
    ( ~ spl0_23
    | ~ spl0_7 ),
    inference(split_clause,[status(thm)],[f1377,f319,f267]) ).

fof(f3131,plain,
    ( e3 = e0
    | ~ spl0_31
    | ~ spl0_28 ),
    inference(forward_demodulation,[status(thm)],[f346,f337]) ).

fof(f3132,plain,
    ( $false
    | ~ spl0_31
    | ~ spl0_28 ),
    inference(forward_subsumption_resolution,[status(thm)],[f3131,f128]) ).

fof(f3133,plain,
    ( ~ spl0_31
    | ~ spl0_28 ),
    inference(contradiction_clause,[status(thm)],[f3132]) ).

fof(f3138,plain,
    ( ~ spl0_44
    | ~ spl0_62
    | ~ spl0_23
    | spl0_85 ),
    inference(split_clause,[status(thm)],[f2443,f388,f446,f319,f568]) ).

fof(f3156,plain,
    ( op(e2,e2) != e0
    | ~ spl0_44 ),
    inference(backward_demodulation,[status(thm)],[f389,f119]) ).

fof(f3157,plain,
    ( ~ spl0_40
    | ~ spl0_44 ),
    inference(split_clause,[status(thm)],[f3156,f375,f388]) ).

fof(f3208,plain,
    ( e1 != op(e3,op(e3,e3))
    | ~ spl0_3
    | ~ spl0_60
    | spl0_71 ),
    inference(forward_demodulation,[status(thm)],[f255,f2269]) ).

fof(f3209,plain,
    ( e1 != op(e3,e0)
    | ~ spl0_3
    | ~ spl0_60
    | spl0_71 ),
    inference(forward_demodulation,[status(thm)],[f441,f3208]) ).

fof(f3236,plain,
    ( $false
    | ~ spl0_3
    | ~ spl0_60
    | spl0_71
    | ~ spl0_49 ),
    inference(forward_subsumption_resolution,[status(thm)],[f405,f3209]) ).

fof(f3237,plain,
    ( ~ spl0_3
    | ~ spl0_60
    | spl0_71
    | ~ spl0_49 ),
    inference(contradiction_clause,[status(thm)],[f3236]) ).

fof(f3243,plain,
    ( e3 != op(op(op(e2,e2),op(e2,e2)),e0)
    | ~ spl0_40
    | spl0_76 ),
    inference(backward_demodulation,[status(thm)],[f376,f536]) ).

fof(f3244,plain,
    ( e3 != op(op(e0,op(e2,e2)),e0)
    | ~ spl0_40
    | spl0_76 ),
    inference(forward_demodulation,[status(thm)],[f376,f3243]) ).

fof(f3245,plain,
    ( e3 != op(op(e0,e0),e0)
    | ~ spl0_40
    | spl0_76 ),
    inference(forward_demodulation,[status(thm)],[f376,f3244]) ).

fof(f3246,plain,
    ( e3 != op(op(e2,e2),e0)
    | ~ spl0_40
    | spl0_90 ),
    inference(backward_demodulation,[status(thm)],[f376,f592]) ).

fof(f3247,plain,
    ( e3 != op(e0,e0)
    | ~ spl0_40
    | spl0_90 ),
    inference(forward_demodulation,[status(thm)],[f376,f3246]) ).

fof(f3248,plain,
    ( e3 != e3
    | ~ spl0_3
    | ~ spl0_40
    | spl0_90 ),
    inference(forward_demodulation,[status(thm)],[f255,f3247]) ).

fof(f3249,plain,
    ( $false
    | ~ spl0_3
    | ~ spl0_40
    | spl0_90 ),
    inference(trivial_equality_resolution,[status(esa)],[f3248]) ).

fof(f3250,plain,
    ( ~ spl0_3
    | ~ spl0_40
    | spl0_90 ),
    inference(contradiction_clause,[status(thm)],[f3249]) ).

fof(f3265,plain,
    ( e1 != op(op(e0,op(e2,e2)),op(e2,e2))
    | ~ spl0_40
    | spl0_69 ),
    inference(forward_demodulation,[status(thm)],[f376,f510]) ).

fof(f3266,plain,
    ( e1 != op(op(e0,e0),op(e2,e2))
    | ~ spl0_40
    | spl0_69 ),
    inference(forward_demodulation,[status(thm)],[f376,f3265]) ).

fof(f3267,plain,
    ( e1 != op(e3,op(e2,e2))
    | ~ spl0_3
    | ~ spl0_40
    | spl0_69 ),
    inference(forward_demodulation,[status(thm)],[f255,f3266]) ).

fof(f3268,plain,
    ( e1 != op(e3,e0)
    | ~ spl0_3
    | ~ spl0_40
    | spl0_69 ),
    inference(forward_demodulation,[status(thm)],[f376,f3267]) ).

fof(f3291,plain,
    ( e2 != op(op(e0,op(e3,e3)),op(e3,e3))
    | ~ spl0_60
    | spl0_74 ),
    inference(forward_demodulation,[status(thm)],[f441,f528]) ).

fof(f3292,plain,
    ( e2 != op(op(e0,e0),op(e3,e3))
    | ~ spl0_60
    | spl0_74 ),
    inference(forward_demodulation,[status(thm)],[f441,f3291]) ).

fof(f3293,plain,
    ( e2 != op(e3,op(e3,e3))
    | ~ spl0_3
    | ~ spl0_60
    | spl0_74 ),
    inference(forward_demodulation,[status(thm)],[f255,f3292]) ).

fof(f3349,plain,
    ( e1 != op(op(e0,e0),e3)
    | ~ spl0_3
    | spl0_81 ),
    inference(backward_demodulation,[status(thm)],[f255,f554]) ).

fof(f3350,plain,
    ( e1 != op(e3,e3)
    | ~ spl0_3
    | spl0_81 ),
    inference(forward_demodulation,[status(thm)],[f255,f3349]) ).

fof(f3366,plain,
    ( e2 != op(e0,op(e3,e3))
    | ~ spl0_60
    | spl0_86 ),
    inference(forward_demodulation,[status(thm)],[f441,f574]) ).

fof(f3367,plain,
    ( e2 != op(e0,e0)
    | ~ spl0_60
    | spl0_86 ),
    inference(forward_demodulation,[status(thm)],[f441,f3366]) ).

fof(f3369,plain,
    ( $false
    | ~ spl0_3
    | ~ spl0_40
    | spl0_69
    | ~ spl0_49 ),
    inference(forward_subsumption_resolution,[status(thm)],[f405,f3268]) ).

fof(f3370,plain,
    ( ~ spl0_3
    | ~ spl0_40
    | spl0_69
    | ~ spl0_49 ),
    inference(contradiction_clause,[status(thm)],[f3369]) ).

fof(f3382,plain,
    ( e1 = e3
    | ~ spl0_13
    | ~ spl0_15 ),
    inference(forward_demodulation,[status(thm)],[f288,f294]) ).

fof(f3383,plain,
    ( $false
    | ~ spl0_13
    | ~ spl0_15 ),
    inference(forward_subsumption_resolution,[status(thm)],[f3382,f130]) ).

fof(f3384,plain,
    ( ~ spl0_13
    | ~ spl0_15 ),
    inference(contradiction_clause,[status(thm)],[f3383]) ).

fof(f3388,plain,
    ( ~ spl0_52
    | ~ spl0_23
    | ~ spl0_41
    | spl0_78 ),
    inference(split_clause,[status(thm)],[f1079,f414,f319,f378,f541]) ).

fof(f3390,plain,
    ( ~ spl0_61
    | ~ spl0_3
    | spl0_81 ),
    inference(split_clause,[status(thm)],[f3350,f443,f254,f552]) ).

fof(f3582,plain,
    ( op(e2,e2) != e3
    | ~ spl0_59 ),
    inference(backward_demodulation,[status(thm)],[f437,f95]) ).

fof(f3676,plain,
    ( e1 = op(e1,op(e3,e3))
    | ~ spl0_61
    | ~ spl0_79 ),
    inference(forward_demodulation,[status(thm)],[f444,f546]) ).

fof(f3677,plain,
    ( e1 = op(e1,e1)
    | ~ spl0_61
    | ~ spl0_79 ),
    inference(forward_demodulation,[status(thm)],[f444,f3676]) ).

fof(f3714,plain,
    ( e1 != op(e1,e2)
    | ~ spl0_61
    | ~ spl0_79 ),
    inference(forward_demodulation,[status(thm)],[f3677,f111]) ).

fof(f3715,plain,
    ( e1 != e1
    | ~ spl0_25
    | ~ spl0_61
    | ~ spl0_79 ),
    inference(forward_demodulation,[status(thm)],[f327,f3714]) ).

fof(f3716,plain,
    ( $false
    | ~ spl0_25
    | ~ spl0_61
    | ~ spl0_79 ),
    inference(trivial_equality_resolution,[status(esa)],[f3715]) ).

fof(f3717,plain,
    ( ~ spl0_25
    | ~ spl0_61
    | ~ spl0_79 ),
    inference(contradiction_clause,[status(thm)],[f3716]) ).

fof(f3785,plain,
    ( ~ spl0_20
    | ~ spl0_61
    | spl0_70 ),
    inference(split_clause,[status(thm)],[f1184,f310,f443,f512]) ).

fof(f3846,plain,
    ( e3 != op(e1,e0)
    | ~ spl0_1
    | ~ spl0_40
    | spl0_76 ),
    inference(forward_demodulation,[status(thm)],[f249,f3245]) ).

fof(f3847,plain,
    ( e3 != e3
    | ~ spl0_19
    | ~ spl0_1
    | ~ spl0_40
    | spl0_76 ),
    inference(forward_demodulation,[status(thm)],[f307,f3846]) ).

fof(f3848,plain,
    ( $false
    | ~ spl0_19
    | ~ spl0_1
    | ~ spl0_40
    | spl0_76 ),
    inference(trivial_equality_resolution,[status(esa)],[f3847]) ).

fof(f3849,plain,
    ( ~ spl0_19
    | ~ spl0_1
    | ~ spl0_40
    | spl0_76 ),
    inference(contradiction_clause,[status(thm)],[f3848]) ).

fof(f3900,plain,
    ( e1 = op(op(e0,e0),e1)
    | ~ spl0_1
    | ~ spl0_81 ),
    inference(backward_demodulation,[status(thm)],[f249,f553]) ).

fof(f3901,plain,
    ( e1 = op(e1,e1)
    | ~ spl0_1
    | ~ spl0_81 ),
    inference(forward_demodulation,[status(thm)],[f249,f3900]) ).

fof(f3902,plain,
    ( e1 = e0
    | ~ spl0_20
    | ~ spl0_1
    | ~ spl0_81 ),
    inference(forward_demodulation,[status(thm)],[f311,f3901]) ).

fof(f3903,plain,
    ( $false
    | ~ spl0_20
    | ~ spl0_1
    | ~ spl0_81 ),
    inference(forward_subsumption_resolution,[status(thm)],[f3902,f126]) ).

fof(f3904,plain,
    ( ~ spl0_20
    | ~ spl0_1
    | ~ spl0_81 ),
    inference(contradiction_clause,[status(thm)],[f3903]) ).

fof(f3918,plain,
    ( e1 != op(e0,op(e2,e2))
    | ~ spl0_40
    | spl0_77 ),
    inference(forward_demodulation,[status(thm)],[f376,f540]) ).

fof(f3919,plain,
    ( e1 != op(e0,e0)
    | ~ spl0_40
    | spl0_77 ),
    inference(forward_demodulation,[status(thm)],[f376,f3918]) ).

fof(f3920,plain,
    ( e1 != e1
    | ~ spl0_1
    | ~ spl0_40
    | spl0_77 ),
    inference(forward_demodulation,[status(thm)],[f249,f3919]) ).

fof(f3921,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_40
    | spl0_77 ),
    inference(trivial_equality_resolution,[status(esa)],[f3920]) ).

fof(f3922,plain,
    ( ~ spl0_1
    | ~ spl0_40
    | spl0_77 ),
    inference(contradiction_clause,[status(thm)],[f3921]) ).

fof(f3967,plain,
    ( ~ spl0_43
    | ~ spl0_59 ),
    inference(split_clause,[status(thm)],[f3582,f384,f436]) ).

fof(f3988,plain,
    ( ~ spl0_19
    | ~ spl0_31 ),
    inference(split_clause,[status(thm)],[f1536,f306,f345]) ).

fof(f4025,plain,
    ( e3 = e1
    | ~ spl0_19
    | ~ spl0_17 ),
    inference(forward_demodulation,[status(thm)],[f307,f301]) ).

fof(f4026,plain,
    ( $false
    | ~ spl0_19
    | ~ spl0_17 ),
    inference(forward_subsumption_resolution,[status(thm)],[f4025,f130]) ).

fof(f4027,plain,
    ( ~ spl0_19
    | ~ spl0_17 ),
    inference(contradiction_clause,[status(thm)],[f4026]) ).

fof(f4167,plain,
    ( e0 != op(e3,e2)
    | ~ spl0_43
    | ~ spl0_22
    | spl0_85 ),
    inference(forward_demodulation,[status(thm)],[f385,f2658]) ).

fof(f4168,plain,
    ( e0 != e0
    | ~ spl0_56
    | ~ spl0_43
    | ~ spl0_22
    | spl0_85 ),
    inference(forward_demodulation,[status(thm)],[f428,f4167]) ).

fof(f4169,plain,
    ( $false
    | ~ spl0_56
    | ~ spl0_43
    | ~ spl0_22
    | spl0_85 ),
    inference(trivial_equality_resolution,[status(esa)],[f4168]) ).

fof(f4170,plain,
    ( ~ spl0_56
    | ~ spl0_43
    | ~ spl0_22
    | spl0_85 ),
    inference(contradiction_clause,[status(thm)],[f4169]) ).

fof(f4174,plain,
    ( e3 != op(op(op(e1,e1),op(e1,e1)),e2)
    | ~ spl0_22
    | spl0_75 ),
    inference(backward_demodulation,[status(thm)],[f317,f532]) ).

fof(f4175,plain,
    ( e3 != op(op(e2,op(e1,e1)),e2)
    | ~ spl0_22
    | spl0_75 ),
    inference(forward_demodulation,[status(thm)],[f317,f4174]) ).

fof(f4176,plain,
    ( e3 != op(op(e2,e2),e2)
    | ~ spl0_22
    | spl0_75 ),
    inference(forward_demodulation,[status(thm)],[f317,f4175]) ).

fof(f4182,plain,
    ( op(e0,e1) != e2
    | ~ spl0_22 ),
    inference(forward_demodulation,[status(thm)],[f317,f84]) ).

fof(f4203,plain,
    ( e1 = e0
    | ~ spl0_49
    | ~ spl0_48 ),
    inference(forward_demodulation,[status(thm)],[f405,f402]) ).

fof(f4204,plain,
    ( $false
    | ~ spl0_49
    | ~ spl0_48 ),
    inference(forward_subsumption_resolution,[status(thm)],[f4203,f126]) ).

fof(f4205,plain,
    ( ~ spl0_49
    | ~ spl0_48 ),
    inference(contradiction_clause,[status(thm)],[f4204]) ).

fof(f4207,plain,
    ( e0 = op(e2,op(e1,e1))
    | ~ spl0_22
    | ~ spl0_72 ),
    inference(forward_demodulation,[status(thm)],[f317,f520]) ).

fof(f4208,plain,
    ( e0 = op(e2,e2)
    | ~ spl0_22
    | ~ spl0_72 ),
    inference(forward_demodulation,[status(thm)],[f317,f4207]) ).

fof(f4209,plain,
    ( $false
    | ~ spl0_22
    | ~ spl0_6 ),
    inference(forward_subsumption_resolution,[status(thm)],[f265,f4182]) ).

fof(f4210,plain,
    ( ~ spl0_22
    | ~ spl0_6 ),
    inference(contradiction_clause,[status(thm)],[f4209]) ).

fof(f4237,plain,
    ( e0 != op(e3,e2)
    | ~ spl0_40 ),
    inference(forward_demodulation,[status(thm)],[f376,f95]) ).

fof(f4249,plain,
    ( $false
    | ~ spl0_40
    | ~ spl0_56 ),
    inference(forward_subsumption_resolution,[status(thm)],[f428,f4237]) ).

fof(f4250,plain,
    ( ~ spl0_40
    | ~ spl0_56 ),
    inference(contradiction_clause,[status(thm)],[f4249]) ).

fof(f4293,plain,
    ( ~ spl0_2
    | ~ spl0_60
    | spl0_86 ),
    inference(split_clause,[status(thm)],[f3367,f251,f440,f572]) ).

fof(f4355,plain,
    ( e3 != op(e0,e2)
    | ~ spl0_72
    | ~ spl0_22
    | spl0_75 ),
    inference(backward_demodulation,[status(thm)],[f4208,f4176]) ).

fof(f4356,plain,
    ( ~ spl0_11
    | ~ spl0_72
    | ~ spl0_22
    | spl0_75 ),
    inference(split_clause,[status(thm)],[f4355,f280,f519,f316,f530]) ).

fof(f4518,plain,
    ( e1 != op(e0,e2)
    | ~ spl0_40
    | ~ spl0_62
    | spl0_71 ),
    inference(backward_demodulation,[status(thm)],[f376,f1325]) ).

fof(f4519,plain,
    ( ~ spl0_9
    | ~ spl0_40
    | ~ spl0_62
    | spl0_71 ),
    inference(split_clause,[status(thm)],[f4518,f274,f375,f446,f515]) ).

fof(f4550,plain,
    ( e3 != op(op(e1,e1),e0)
    | ~ spl0_20
    | spl0_89 ),
    inference(backward_demodulation,[status(thm)],[f311,f588]) ).

fof(f4551,plain,
    ( e3 != op(e0,e0)
    | ~ spl0_20
    | spl0_89 ),
    inference(forward_demodulation,[status(thm)],[f311,f4550]) ).

fof(f4558,plain,
    ( e1 != op(e0,e3)
    | ~ spl0_60
    | ~ spl0_3
    | spl0_88 ),
    inference(forward_demodulation,[status(thm)],[f441,f1048]) ).

fof(f4559,plain,
    ( ~ spl0_13
    | ~ spl0_60
    | ~ spl0_3
    | spl0_88 ),
    inference(split_clause,[status(thm)],[f4558,f287,f440,f254,f579]) ).

fof(f4668,plain,
    ( e2 != op(e3,e0)
    | ~ spl0_3
    | ~ spl0_60
    | spl0_74 ),
    inference(forward_demodulation,[status(thm)],[f441,f3293]) ).

fof(f4669,plain,
    ( ~ spl0_50
    | ~ spl0_3
    | ~ spl0_60
    | spl0_74 ),
    inference(split_clause,[status(thm)],[f4668,f407,f254,f440,f526]) ).

fof(f4672,plain,
    ( $false
    | ~ spl0_20
    | spl0_89
    | ~ spl0_3 ),
    inference(forward_subsumption_resolution,[status(thm)],[f255,f4551]) ).

fof(f4673,plain,
    ( ~ spl0_20
    | spl0_89
    | ~ spl0_3 ),
    inference(contradiction_clause,[status(thm)],[f4672]) ).

fof(f4770,plain,
    ( e2 != op(op(e0,op(e1,e1)),op(e1,e1))
    | ~ spl0_20
    | spl0_73 ),
    inference(forward_demodulation,[status(thm)],[f311,f524]) ).

fof(f4771,plain,
    ( e2 != op(op(e0,e0),op(e1,e1))
    | ~ spl0_20
    | spl0_73 ),
    inference(forward_demodulation,[status(thm)],[f311,f4770]) ).

fof(f4772,plain,
    ( e2 != op(e3,op(e1,e1))
    | ~ spl0_3
    | ~ spl0_20
    | spl0_73 ),
    inference(forward_demodulation,[status(thm)],[f255,f4771]) ).

fof(f4773,plain,
    ( e2 != op(e3,e0)
    | ~ spl0_3
    | ~ spl0_20
    | spl0_73 ),
    inference(forward_demodulation,[status(thm)],[f311,f4772]) ).

fof(f4774,plain,
    ( e2 != e2
    | ~ spl0_50
    | ~ spl0_3
    | ~ spl0_20
    | spl0_73 ),
    inference(forward_demodulation,[status(thm)],[f408,f4773]) ).

fof(f4775,plain,
    ( $false
    | ~ spl0_50
    | ~ spl0_3
    | ~ spl0_20
    | spl0_73 ),
    inference(trivial_equality_resolution,[status(esa)],[f4774]) ).

fof(f4776,plain,
    ( ~ spl0_50
    | ~ spl0_3
    | ~ spl0_20
    | spl0_73 ),
    inference(contradiction_clause,[status(thm)],[f4775]) ).

fof(f4777,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f257,f270,f283,f296,f309,f322,f335,f348,f361,f374,f387,f400,f413,f426,f439,f452,f454,f455,f456,f457,f458,f459,f460,f461,f462,f463,f464,f465,f466,f467,f468,f469,f470,f471,f472,f473,f474,f475,f476,f477,f478,f479,f480,f481,f482,f483,f484,f488,f489,f493,f494,f498,f499,f503,f504,f518,f529,f533,f537,f544,f551,f558,f559,f563,f564,f571,f575,f582,f583,f584,f589,f593,f597,f598,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,f654,f657,f660,f663,f666,f669,f672,f675,f681,f684,f688,f691,f696,f703,f719,f729,f738,f758,f768,f779,f857,f860,f868,f874,f878,f882,f887,f894,f914,f926,f928,f929,f932,f936,f937,f945,f951,f956,f970,f980,f986,f987,f988,f989,f990,f992,f1011,f1024,f1036,f1039,f1041,f1061,f1063,f1065,f1084,f1095,f1100,f1103,f1108,f1110,f1146,f1164,f1166,f1171,f1175,f1198,f1204,f1221,f1223,f1228,f1229,f1236,f1239,f1253,f1372,f1375,f1381,f1383,f1390,f1394,f1395,f1397,f1401,f1404,f1407,f1411,f1434,f1435,f1443,f1444,f1513,f1527,f1530,f1540,f1547,f1552,f1556,f1558,f1562,f1563,f1582,f1595,f1600,f1606,f1609,f1620,f1632,f1637,f1685,f1704,f1720,f1721,f1727,f1730,f1753,f1768,f1770,f1801,f1804,f1807,f1808,f1821,f1843,f1846,f1880,f1883,f1889,f1894,f1911,f1914,f1962,f1967,f1970,f1981,f1983,f1998,f2020,f2022,f2153,f2159,f2176,f2180,f2204,f2226,f2273,f2292,f2293,f2301,f2313,f2371,f2372,f2375,f2430,f2432,f2435,f2482,f2489,f2515,f2537,f2538,f2557,f2567,f2601,f2610,f2626,f2748,f2854,f2883,f2892,f2902,f2910,f2929,f2966,f2981,f3007,f3014,f3040,f3047,f3068,f3108,f3133,f3138,f3157,f3237,f3250,f3370,f3384,f3388,f3390,f3717,f3785,f3849,f3904,f3922,f3967,f3988,f4027,f4170,f4205,f4210,f4250,f4293,f4356,f4519,f4559,f4669,f4673,f4776]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10  % Problem  : ALG135+1 : TPTP v8.1.2. Released v2.7.0.
% 0.09/0.11  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.31  % Computer : n017.cluster.edu
% 0.09/0.31  % Model    : x86_64 x86_64
% 0.09/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.31  % Memory   : 8042.1875MB
% 0.09/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.31  % CPULimit : 300
% 0.09/0.31  % WCLimit  : 300
% 0.09/0.31  % DateTime : Mon Apr 29 23:03:48 EDT 2024
% 0.09/0.31  % CPUTime  : 
% 0.15/0.32  % Drodi V3.6.0
% 0.15/0.40  % Refutation found
% 0.15/0.40  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.15/0.40  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.15/0.41  % Elapsed time: 0.100002 seconds
% 0.15/0.41  % CPU time: 0.689553 seconds
% 0.15/0.41  % Total memory used: 22.269 MB
% 0.15/0.41  % Net memory used: 21.481 MB
%------------------------------------------------------------------------------