TSTP Solution File: ALG130+1 by Drodi---3.6.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : ALG130+1 : TPTP v8.1.2. Released v2.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n029.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 20:10:09 EDT 2024

% Result   : Unsatisfiable 0.11s 0.30s
% Output   : CNFRefutation 0.11s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :  113
% Syntax   : Number of formulae    :  668 (  57 unt;   0 def)
%            Number of atoms       : 1859 ( 938 equ)
%            Maximal formula atoms :  128 (   2 avg)
%            Number of connectives : 2010 ( 819   ~; 896   |; 201   &)
%                                         (  91 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   49 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   96 (  94 usr;  95 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(op(e0,e0),e0) = e0
    & op(op(e0,e1),e0) = e1
    & op(op(e0,e2),e0) = e2
    & op(op(e0,e3),e0) = e3
    & op(op(e1,e0),e1) = e0
    & op(op(e1,e1),e1) = e1
    & op(op(e1,e2),e1) = e2
    & op(op(e1,e3),e1) = e3
    & op(op(e2,e0),e2) = e0
    & op(op(e2,e1),e2) = e1
    & op(op(e2,e2),e2) = e2
    & op(op(e2,e3),e2) = e3
    & op(op(e3,e0),e3) = e0
    & op(op(e3,e1),e3) = e1
    & op(op(e3,e2),e3) = e2
    & op(op(e3,e3),e3) = e3
    & ( ( op(e0,op(e0,e0)) = op(e0,e0)
        & op(e0,op(e1,e0)) = op(e1,e0)
        & op(e0,op(e2,e0)) = op(e2,e0)
        & op(e0,op(e3,e0)) = op(e3,e0) )
      | ( op(e1,op(e0,e1)) = op(e0,e1)
        & op(e1,op(e1,e1)) = op(e1,e1)
        & op(e1,op(e2,e1)) = op(e2,e1)
        & op(e1,op(e3,e1)) = op(e3,e1) )
      | ( op(e2,op(e0,e2)) = op(e0,e2)
        & op(e2,op(e1,e2)) = op(e1,e2)
        & op(e2,op(e2,e2)) = op(e2,e2)
        & op(e2,op(e3,e2)) = op(e3,e2) )
      | ( op(e3,op(e0,e3)) = op(e0,e3)
        & op(e3,op(e1,e3)) = op(e1,e3)
        & op(e3,op(e2,e3)) = op(e2,e3)
        & op(e3,op(e3,e3)) = op(e3,e3) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

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

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

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

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

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

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

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

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

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

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

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

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

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

fof(f27,axiom,
    ~ ( e3 = op(op(e2,e1),op(e2,e1))
      & e0 = op(e2,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(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(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(f45,plain,
    ( op(e3,e3) = e0
    | op(e3,e3) = e1
    | op(e3,e3) = e2
    | op(e3,e3) = e3 ),
    inference(cnf_transformation,[status(esa)],[f1]) ).

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

fof(f105,plain,
    op(e0,e1) != op(e0,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(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(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,op(e0,e0)) = op(e0,e0)
        & op(e0,op(e1,e0)) = op(e1,e0)
        & op(e0,op(e2,e0)) = op(e2,e0)
        & op(e0,op(e3,e0)) = op(e3,e0) )
      | ( op(e1,op(e0,e1)) = op(e0,e1)
        & op(e1,op(e1,e1)) = op(e1,e1)
        & op(e1,op(e2,e1)) = op(e2,e1)
        & op(e1,op(e3,e1)) = op(e3,e1) )
      | ( op(e2,op(e0,e2)) = op(e0,e2)
        & op(e2,op(e1,e2)) = op(e1,e2)
        & op(e2,op(e2,e2)) = op(e2,e2)
        & op(e2,op(e3,e2)) = op(e3,e2) ) ) ),
    introduced(predicate_definition,[f5]) ).

fof(f133,plain,
    ( op(op(e0,e0),e0) = e0
    & op(op(e0,e1),e0) = e1
    & op(op(e0,e2),e0) = e2
    & op(op(e0,e3),e0) = e3
    & op(op(e1,e0),e1) = e0
    & op(op(e1,e1),e1) = e1
    & op(op(e1,e2),e1) = e2
    & op(op(e1,e3),e1) = e3
    & op(op(e2,e0),e2) = e0
    & op(op(e2,e1),e2) = e1
    & op(op(e2,e2),e2) = e2
    & op(op(e2,e3),e2) = e3
    & op(op(e3,e0),e3) = e0
    & op(op(e3,e1),e3) = e1
    & op(op(e3,e2),e3) = e2
    & op(op(e3,e3),e3) = e3
    & ( pd0_0
      | ( op(e3,op(e0,e3)) = op(e0,e3)
        & op(e3,op(e1,e3)) = op(e1,e3)
        & op(e3,op(e2,e3)) = op(e2,e3)
        & op(e3,op(e3,e3)) = op(e3,e3) ) ) ),
    inference(formula_renaming,[status(thm)],[f5,f132]) ).

fof(f134,plain,
    op(op(e0,e0),e0) = e0,
    inference(cnf_transformation,[status(esa)],[f133]) ).

fof(f135,plain,
    op(op(e0,e1),e0) = e1,
    inference(cnf_transformation,[status(esa)],[f133]) ).

fof(f136,plain,
    op(op(e0,e2),e0) = e2,
    inference(cnf_transformation,[status(esa)],[f133]) ).

fof(f137,plain,
    op(op(e0,e3),e0) = e3,
    inference(cnf_transformation,[status(esa)],[f133]) ).

fof(f138,plain,
    op(op(e1,e0),e1) = e0,
    inference(cnf_transformation,[status(esa)],[f133]) ).

fof(f139,plain,
    op(op(e1,e1),e1) = e1,
    inference(cnf_transformation,[status(esa)],[f133]) ).

fof(f140,plain,
    op(op(e1,e2),e1) = e2,
    inference(cnf_transformation,[status(esa)],[f133]) ).

fof(f141,plain,
    op(op(e1,e3),e1) = e3,
    inference(cnf_transformation,[status(esa)],[f133]) ).

fof(f142,plain,
    op(op(e2,e0),e2) = e0,
    inference(cnf_transformation,[status(esa)],[f133]) ).

fof(f143,plain,
    op(op(e2,e1),e2) = e1,
    inference(cnf_transformation,[status(esa)],[f133]) ).

fof(f144,plain,
    op(op(e2,e2),e2) = e2,
    inference(cnf_transformation,[status(esa)],[f133]) ).

fof(f145,plain,
    op(op(e2,e3),e2) = e3,
    inference(cnf_transformation,[status(esa)],[f133]) ).

fof(f146,plain,
    op(op(e3,e0),e3) = e0,
    inference(cnf_transformation,[status(esa)],[f133]) ).

fof(f147,plain,
    op(op(e3,e1),e3) = e1,
    inference(cnf_transformation,[status(esa)],[f133]) ).

fof(f148,plain,
    op(op(e3,e2),e3) = e2,
    inference(cnf_transformation,[status(esa)],[f133]) ).

fof(f149,plain,
    op(op(e3,e3),e3) = e3,
    inference(cnf_transformation,[status(esa)],[f133]) ).

fof(f150,plain,
    ( pd0_0
    | op(e3,op(e0,e3)) = op(e0,e3) ),
    inference(cnf_transformation,[status(esa)],[f133]) ).

fof(f152,plain,
    ( pd0_0
    | op(e3,op(e2,e3)) = op(e2,e3) ),
    inference(cnf_transformation,[status(esa)],[f133]) ).

fof(f156,plain,
    ( e0 != op(op(e3,e1),op(e3,e1))
    | e2 != op(e3,e1) ),
    inference(pre_NNF_transformation,[status(esa)],[f7]) ).

fof(f157,plain,
    ( e0 != op(op(e3,e1),op(e3,e1))
    | e2 != op(e3,e1) ),
    inference(cnf_transformation,[status(esa)],[f156]) ).

fof(f158,plain,
    ( e0 != op(op(e1,e2),op(e1,e2))
    | e3 != op(e1,e2) ),
    inference(pre_NNF_transformation,[status(esa)],[f8]) ).

fof(f159,plain,
    ( e0 != op(op(e1,e2),op(e1,e2))
    | e3 != op(e1,e2) ),
    inference(cnf_transformation,[status(esa)],[f158]) ).

fof(f164,plain,
    ( e0 != op(op(e2,e3),op(e2,e3))
    | e1 != op(e2,e3) ),
    inference(pre_NNF_transformation,[status(esa)],[f11]) ).

fof(f165,plain,
    ( e0 != op(op(e2,e3),op(e2,e3))
    | e1 != op(e2,e3) ),
    inference(cnf_transformation,[status(esa)],[f164]) ).

fof(f168,plain,
    ( e1 != op(op(e3,e0),op(e3,e0))
    | e2 != op(e3,e0) ),
    inference(pre_NNF_transformation,[status(esa)],[f13]) ).

fof(f169,plain,
    ( e1 != op(op(e3,e0),op(e3,e0))
    | e2 != op(e3,e0) ),
    inference(cnf_transformation,[status(esa)],[f168]) ).

fof(f170,plain,
    ( e1 != op(op(e0,e2),op(e0,e2))
    | e3 != op(e0,e2) ),
    inference(pre_NNF_transformation,[status(esa)],[f14]) ).

fof(f171,plain,
    ( e1 != op(op(e0,e2),op(e0,e2))
    | e3 != op(e0,e2) ),
    inference(cnf_transformation,[status(esa)],[f170]) ).

fof(f172,plain,
    ( e1 != op(op(e3,e2),op(e3,e2))
    | e0 != op(e3,e2) ),
    inference(pre_NNF_transformation,[status(esa)],[f15]) ).

fof(f173,plain,
    ( e1 != op(op(e3,e2),op(e3,e2))
    | e0 != op(e3,e2) ),
    inference(cnf_transformation,[status(esa)],[f172]) ).

fof(f174,plain,
    ( e1 != op(op(e0,e3),op(e0,e3))
    | e2 != op(e0,e3) ),
    inference(pre_NNF_transformation,[status(esa)],[f16]) ).

fof(f175,plain,
    ( e1 != op(op(e0,e3),op(e0,e3))
    | e2 != op(e0,e3) ),
    inference(cnf_transformation,[status(esa)],[f174]) ).

fof(f176,plain,
    ( e1 != op(op(e2,e3),op(e2,e3))
    | e0 != op(e2,e3) ),
    inference(pre_NNF_transformation,[status(esa)],[f17]) ).

fof(f177,plain,
    ( e1 != op(op(e2,e3),op(e2,e3))
    | e0 != op(e2,e3) ),
    inference(cnf_transformation,[status(esa)],[f176]) ).

fof(f178,plain,
    ( e2 != op(op(e1,e0),op(e1,e0))
    | e3 != op(e1,e0) ),
    inference(pre_NNF_transformation,[status(esa)],[f18]) ).

fof(f179,plain,
    ( e2 != op(op(e1,e0),op(e1,e0))
    | e3 != op(e1,e0) ),
    inference(cnf_transformation,[status(esa)],[f178]) ).

fof(f180,plain,
    ( e2 != op(op(e3,e0),op(e3,e0))
    | e1 != op(e3,e0) ),
    inference(pre_NNF_transformation,[status(esa)],[f19]) ).

fof(f181,plain,
    ( e2 != op(op(e3,e0),op(e3,e0))
    | e1 != op(e3,e0) ),
    inference(cnf_transformation,[status(esa)],[f180]) ).

fof(f182,plain,
    ( e2 != op(op(e0,e1),op(e0,e1))
    | e3 != op(e0,e1) ),
    inference(pre_NNF_transformation,[status(esa)],[f20]) ).

fof(f183,plain,
    ( e2 != op(op(e0,e1),op(e0,e1))
    | e3 != op(e0,e1) ),
    inference(cnf_transformation,[status(esa)],[f182]) ).

fof(f186,plain,
    ( e2 != op(op(e0,e3),op(e0,e3))
    | e1 != op(e0,e3) ),
    inference(pre_NNF_transformation,[status(esa)],[f22]) ).

fof(f187,plain,
    ( e2 != op(op(e0,e3),op(e0,e3))
    | e1 != op(e0,e3) ),
    inference(cnf_transformation,[status(esa)],[f186]) ).

fof(f194,plain,
    ( e3 != op(op(e0,e1),op(e0,e1))
    | e2 != op(e0,e1) ),
    inference(pre_NNF_transformation,[status(esa)],[f26]) ).

fof(f195,plain,
    ( e3 != op(op(e0,e1),op(e0,e1))
    | e2 != op(e0,e1) ),
    inference(cnf_transformation,[status(esa)],[f194]) ).

fof(f196,plain,
    ( e3 != op(op(e2,e1),op(e2,e1))
    | e0 != op(e2,e1) ),
    inference(pre_NNF_transformation,[status(esa)],[f27]) ).

fof(f197,plain,
    ( e3 != op(op(e2,e1),op(e2,e1))
    | e0 != op(e2,e1) ),
    inference(cnf_transformation,[status(esa)],[f196]) ).

fof(f202,plain,
    ( ~ pd0_0
    | ( op(e0,op(e0,e0)) = op(e0,e0)
      & op(e0,op(e1,e0)) = op(e1,e0)
      & op(e0,op(e2,e0)) = op(e2,e0)
      & op(e0,op(e3,e0)) = op(e3,e0) )
    | ( op(e1,op(e0,e1)) = op(e0,e1)
      & op(e1,op(e1,e1)) = op(e1,e1)
      & op(e1,op(e2,e1)) = op(e2,e1)
      & op(e1,op(e3,e1)) = op(e3,e1) )
    | ( op(e2,op(e0,e2)) = op(e0,e2)
      & op(e2,op(e1,e2)) = op(e1,e2)
      & op(e2,op(e2,e2)) = op(e2,e2)
      & op(e2,op(e3,e2)) = op(e3,e2) ) ),
    inference(pre_NNF_transformation,[status(esa)],[f132]) ).

fof(f203,plain,
    ( pd0_1
   => ( ( op(e0,op(e0,e0)) = op(e0,e0)
        & op(e0,op(e1,e0)) = op(e1,e0)
        & op(e0,op(e2,e0)) = op(e2,e0)
        & op(e0,op(e3,e0)) = op(e3,e0) )
      | ( op(e1,op(e0,e1)) = op(e0,e1)
        & op(e1,op(e1,e1)) = op(e1,e1)
        & op(e1,op(e2,e1)) = op(e2,e1)
        & op(e1,op(e3,e1)) = op(e3,e1) ) ) ),
    introduced(predicate_definition,[f202]) ).

fof(f204,plain,
    ( ~ pd0_0
    | pd0_1
    | ( op(e2,op(e0,e2)) = op(e0,e2)
      & op(e2,op(e1,e2)) = op(e1,e2)
      & op(e2,op(e2,e2)) = op(e2,e2)
      & op(e2,op(e3,e2)) = op(e3,e2) ) ),
    inference(formula_renaming,[status(thm)],[f202,f203]) ).

fof(f205,plain,
    ( ~ pd0_0
    | pd0_1
    | op(e2,op(e0,e2)) = op(e0,e2) ),
    inference(cnf_transformation,[status(esa)],[f204]) ).

fof(f208,plain,
    ( ~ pd0_0
    | pd0_1
    | op(e2,op(e3,e2)) = op(e3,e2) ),
    inference(cnf_transformation,[status(esa)],[f204]) ).

fof(f209,plain,
    ( ~ pd0_1
    | ( op(e0,op(e0,e0)) = op(e0,e0)
      & op(e0,op(e1,e0)) = op(e1,e0)
      & op(e0,op(e2,e0)) = op(e2,e0)
      & op(e0,op(e3,e0)) = op(e3,e0) )
    | ( op(e1,op(e0,e1)) = op(e0,e1)
      & op(e1,op(e1,e1)) = op(e1,e1)
      & op(e1,op(e2,e1)) = op(e2,e1)
      & op(e1,op(e3,e1)) = op(e3,e1) ) ),
    inference(pre_NNF_transformation,[status(esa)],[f203]) ).

fof(f210,plain,
    ( pd0_2
   => ( op(e0,op(e0,e0)) = op(e0,e0)
      & op(e0,op(e1,e0)) = op(e1,e0)
      & op(e0,op(e2,e0)) = op(e2,e0)
      & op(e0,op(e3,e0)) = op(e3,e0) ) ),
    introduced(predicate_definition,[f209]) ).

fof(f211,plain,
    ( ~ pd0_1
    | pd0_2
    | ( op(e1,op(e0,e1)) = op(e0,e1)
      & op(e1,op(e1,e1)) = op(e1,e1)
      & op(e1,op(e2,e1)) = op(e2,e1)
      & op(e1,op(e3,e1)) = op(e3,e1) ) ),
    inference(formula_renaming,[status(thm)],[f209,f210]) ).

fof(f212,plain,
    ( ~ pd0_1
    | pd0_2
    | op(e1,op(e0,e1)) = op(e0,e1) ),
    inference(cnf_transformation,[status(esa)],[f211]) ).

fof(f215,plain,
    ( ~ pd0_1
    | pd0_2
    | op(e1,op(e3,e1)) = op(e3,e1) ),
    inference(cnf_transformation,[status(esa)],[f211]) ).

fof(f216,plain,
    ( ~ pd0_2
    | ( op(e0,op(e0,e0)) = op(e0,e0)
      & op(e0,op(e1,e0)) = op(e1,e0)
      & op(e0,op(e2,e0)) = op(e2,e0)
      & op(e0,op(e3,e0)) = op(e3,e0) ) ),
    inference(pre_NNF_transformation,[status(esa)],[f210]) ).

fof(f217,plain,
    ( ~ pd0_2
    | op(e0,op(e0,e0)) = op(e0,e0) ),
    inference(cnf_transformation,[status(esa)],[f216]) ).

fof(f218,plain,
    ( ~ pd0_2
    | op(e0,op(e1,e0)) = op(e1,e0) ),
    inference(cnf_transformation,[status(esa)],[f216]) ).

fof(f219,plain,
    ( ~ pd0_2
    | op(e0,op(e2,e0)) = op(e2,e0) ),
    inference(cnf_transformation,[status(esa)],[f216]) ).

fof(f220,plain,
    ( ~ pd0_2
    | op(e0,op(e3,e0)) = op(e3,e0) ),
    inference(cnf_transformation,[status(esa)],[f216]) ).

fof(f221,plain,
    ( spl0_0
  <=> op(e0,e0) = e0 ),
    introduced(split_symbol_definition) ).

fof(f224,plain,
    ( spl0_1
  <=> op(e0,e0) = e1 ),
    introduced(split_symbol_definition) ).

fof(f225,plain,
    ( op(e0,e0) = e1
    | ~ spl0_1 ),
    inference(component_clause,[status(thm)],[f224]) ).

fof(f227,plain,
    ( spl0_2
  <=> op(e0,e0) = e2 ),
    introduced(split_symbol_definition) ).

fof(f228,plain,
    ( op(e0,e0) = e2
    | ~ spl0_2 ),
    inference(component_clause,[status(thm)],[f227]) ).

fof(f230,plain,
    ( spl0_3
  <=> op(e0,e0) = e3 ),
    introduced(split_symbol_definition) ).

fof(f231,plain,
    ( op(e0,e0) = e3
    | ~ spl0_3 ),
    inference(component_clause,[status(thm)],[f230]) ).

fof(f233,plain,
    ( spl0_0
    | spl0_1
    | spl0_2
    | spl0_3 ),
    inference(split_clause,[status(thm)],[f30,f221,f224,f227,f230]) ).

fof(f234,plain,
    ( spl0_4
  <=> op(e0,e1) = e0 ),
    introduced(split_symbol_definition) ).

fof(f237,plain,
    ( spl0_5
  <=> op(e0,e1) = e1 ),
    introduced(split_symbol_definition) ).

fof(f238,plain,
    ( op(e0,e1) = e1
    | ~ spl0_5 ),
    inference(component_clause,[status(thm)],[f237]) ).

fof(f240,plain,
    ( spl0_6
  <=> op(e0,e1) = e2 ),
    introduced(split_symbol_definition) ).

fof(f241,plain,
    ( op(e0,e1) = e2
    | ~ spl0_6 ),
    inference(component_clause,[status(thm)],[f240]) ).

fof(f243,plain,
    ( spl0_7
  <=> op(e0,e1) = e3 ),
    introduced(split_symbol_definition) ).

fof(f246,plain,
    ( spl0_4
    | spl0_5
    | spl0_6
    | spl0_7 ),
    inference(split_clause,[status(thm)],[f31,f234,f237,f240,f243]) ).

fof(f247,plain,
    ( spl0_8
  <=> op(e0,e2) = e0 ),
    introduced(split_symbol_definition) ).

fof(f248,plain,
    ( op(e0,e2) = e0
    | ~ spl0_8 ),
    inference(component_clause,[status(thm)],[f247]) ).

fof(f250,plain,
    ( spl0_9
  <=> op(e0,e2) = e1 ),
    introduced(split_symbol_definition) ).

fof(f251,plain,
    ( op(e0,e2) = e1
    | ~ spl0_9 ),
    inference(component_clause,[status(thm)],[f250]) ).

fof(f253,plain,
    ( spl0_10
  <=> op(e0,e2) = e2 ),
    introduced(split_symbol_definition) ).

fof(f254,plain,
    ( op(e0,e2) = e2
    | ~ spl0_10 ),
    inference(component_clause,[status(thm)],[f253]) ).

fof(f255,plain,
    ( op(e0,e2) != e2
    | spl0_10 ),
    inference(component_clause,[status(thm)],[f253]) ).

fof(f256,plain,
    ( spl0_11
  <=> op(e0,e2) = e3 ),
    introduced(split_symbol_definition) ).

fof(f257,plain,
    ( op(e0,e2) = e3
    | ~ spl0_11 ),
    inference(component_clause,[status(thm)],[f256]) ).

fof(f259,plain,
    ( spl0_8
    | spl0_9
    | spl0_10
    | spl0_11 ),
    inference(split_clause,[status(thm)],[f32,f247,f250,f253,f256]) ).

fof(f260,plain,
    ( spl0_12
  <=> op(e0,e3) = e0 ),
    introduced(split_symbol_definition) ).

fof(f261,plain,
    ( op(e0,e3) = e0
    | ~ spl0_12 ),
    inference(component_clause,[status(thm)],[f260]) ).

fof(f263,plain,
    ( spl0_13
  <=> op(e0,e3) = e1 ),
    introduced(split_symbol_definition) ).

fof(f264,plain,
    ( op(e0,e3) = e1
    | ~ spl0_13 ),
    inference(component_clause,[status(thm)],[f263]) ).

fof(f266,plain,
    ( spl0_14
  <=> op(e0,e3) = e2 ),
    introduced(split_symbol_definition) ).

fof(f269,plain,
    ( spl0_15
  <=> op(e0,e3) = e3 ),
    introduced(split_symbol_definition) ).

fof(f272,plain,
    ( spl0_12
    | spl0_13
    | spl0_14
    | spl0_15 ),
    inference(split_clause,[status(thm)],[f33,f260,f263,f266,f269]) ).

fof(f273,plain,
    ( spl0_16
  <=> op(e1,e0) = e0 ),
    introduced(split_symbol_definition) ).

fof(f274,plain,
    ( op(e1,e0) = e0
    | ~ spl0_16 ),
    inference(component_clause,[status(thm)],[f273]) ).

fof(f276,plain,
    ( spl0_17
  <=> op(e1,e0) = e1 ),
    introduced(split_symbol_definition) ).

fof(f277,plain,
    ( op(e1,e0) = e1
    | ~ spl0_17 ),
    inference(component_clause,[status(thm)],[f276]) ).

fof(f279,plain,
    ( spl0_18
  <=> op(e1,e0) = e2 ),
    introduced(split_symbol_definition) ).

fof(f280,plain,
    ( op(e1,e0) = e2
    | ~ spl0_18 ),
    inference(component_clause,[status(thm)],[f279]) ).

fof(f282,plain,
    ( spl0_19
  <=> op(e1,e0) = e3 ),
    introduced(split_symbol_definition) ).

fof(f283,plain,
    ( op(e1,e0) = e3
    | ~ spl0_19 ),
    inference(component_clause,[status(thm)],[f282]) ).

fof(f285,plain,
    ( spl0_16
    | spl0_17
    | spl0_18
    | spl0_19 ),
    inference(split_clause,[status(thm)],[f34,f273,f276,f279,f282]) ).

fof(f286,plain,
    ( spl0_20
  <=> op(e1,e1) = e0 ),
    introduced(split_symbol_definition) ).

fof(f287,plain,
    ( op(e1,e1) = e0
    | ~ spl0_20 ),
    inference(component_clause,[status(thm)],[f286]) ).

fof(f289,plain,
    ( spl0_21
  <=> op(e1,e1) = e1 ),
    introduced(split_symbol_definition) ).

fof(f292,plain,
    ( spl0_22
  <=> op(e1,e1) = e2 ),
    introduced(split_symbol_definition) ).

fof(f293,plain,
    ( op(e1,e1) = e2
    | ~ spl0_22 ),
    inference(component_clause,[status(thm)],[f292]) ).

fof(f295,plain,
    ( spl0_23
  <=> op(e1,e1) = e3 ),
    introduced(split_symbol_definition) ).

fof(f296,plain,
    ( op(e1,e1) = e3
    | ~ spl0_23 ),
    inference(component_clause,[status(thm)],[f295]) ).

fof(f299,plain,
    ( spl0_24
  <=> op(e1,e2) = e0 ),
    introduced(split_symbol_definition) ).

fof(f300,plain,
    ( op(e1,e2) = e0
    | ~ spl0_24 ),
    inference(component_clause,[status(thm)],[f299]) ).

fof(f302,plain,
    ( spl0_25
  <=> op(e1,e2) = e1 ),
    introduced(split_symbol_definition) ).

fof(f303,plain,
    ( op(e1,e2) = e1
    | ~ spl0_25 ),
    inference(component_clause,[status(thm)],[f302]) ).

fof(f305,plain,
    ( spl0_26
  <=> op(e1,e2) = e2 ),
    introduced(split_symbol_definition) ).

fof(f306,plain,
    ( op(e1,e2) = e2
    | ~ spl0_26 ),
    inference(component_clause,[status(thm)],[f305]) ).

fof(f307,plain,
    ( op(e1,e2) != e2
    | spl0_26 ),
    inference(component_clause,[status(thm)],[f305]) ).

fof(f308,plain,
    ( spl0_27
  <=> op(e1,e2) = e3 ),
    introduced(split_symbol_definition) ).

fof(f309,plain,
    ( op(e1,e2) = e3
    | ~ spl0_27 ),
    inference(component_clause,[status(thm)],[f308]) ).

fof(f311,plain,
    ( spl0_24
    | spl0_25
    | spl0_26
    | spl0_27 ),
    inference(split_clause,[status(thm)],[f36,f299,f302,f305,f308]) ).

fof(f312,plain,
    ( spl0_28
  <=> op(e1,e3) = e0 ),
    introduced(split_symbol_definition) ).

fof(f315,plain,
    ( spl0_29
  <=> op(e1,e3) = e1 ),
    introduced(split_symbol_definition) ).

fof(f316,plain,
    ( op(e1,e3) = e1
    | ~ spl0_29 ),
    inference(component_clause,[status(thm)],[f315]) ).

fof(f318,plain,
    ( spl0_30
  <=> op(e1,e3) = e2 ),
    introduced(split_symbol_definition) ).

fof(f319,plain,
    ( op(e1,e3) = e2
    | ~ spl0_30 ),
    inference(component_clause,[status(thm)],[f318]) ).

fof(f321,plain,
    ( spl0_31
  <=> op(e1,e3) = e3 ),
    introduced(split_symbol_definition) ).

fof(f322,plain,
    ( op(e1,e3) = e3
    | ~ spl0_31 ),
    inference(component_clause,[status(thm)],[f321]) ).

fof(f324,plain,
    ( spl0_28
    | spl0_29
    | spl0_30
    | spl0_31 ),
    inference(split_clause,[status(thm)],[f37,f312,f315,f318,f321]) ).

fof(f325,plain,
    ( spl0_32
  <=> op(e2,e0) = e0 ),
    introduced(split_symbol_definition) ).

fof(f326,plain,
    ( op(e2,e0) = e0
    | ~ spl0_32 ),
    inference(component_clause,[status(thm)],[f325]) ).

fof(f328,plain,
    ( spl0_33
  <=> op(e2,e0) = e1 ),
    introduced(split_symbol_definition) ).

fof(f329,plain,
    ( op(e2,e0) = e1
    | ~ spl0_33 ),
    inference(component_clause,[status(thm)],[f328]) ).

fof(f331,plain,
    ( spl0_34
  <=> op(e2,e0) = e2 ),
    introduced(split_symbol_definition) ).

fof(f332,plain,
    ( op(e2,e0) = e2
    | ~ spl0_34 ),
    inference(component_clause,[status(thm)],[f331]) ).

fof(f333,plain,
    ( op(e2,e0) != e2
    | spl0_34 ),
    inference(component_clause,[status(thm)],[f331]) ).

fof(f334,plain,
    ( spl0_35
  <=> op(e2,e0) = e3 ),
    introduced(split_symbol_definition) ).

fof(f335,plain,
    ( op(e2,e0) = e3
    | ~ spl0_35 ),
    inference(component_clause,[status(thm)],[f334]) ).

fof(f337,plain,
    ( spl0_32
    | spl0_33
    | spl0_34
    | spl0_35 ),
    inference(split_clause,[status(thm)],[f38,f325,f328,f331,f334]) ).

fof(f338,plain,
    ( spl0_36
  <=> op(e2,e1) = e0 ),
    introduced(split_symbol_definition) ).

fof(f339,plain,
    ( op(e2,e1) = e0
    | ~ spl0_36 ),
    inference(component_clause,[status(thm)],[f338]) ).

fof(f341,plain,
    ( spl0_37
  <=> op(e2,e1) = e1 ),
    introduced(split_symbol_definition) ).

fof(f342,plain,
    ( op(e2,e1) = e1
    | ~ spl0_37 ),
    inference(component_clause,[status(thm)],[f341]) ).

fof(f343,plain,
    ( op(e2,e1) != e1
    | spl0_37 ),
    inference(component_clause,[status(thm)],[f341]) ).

fof(f344,plain,
    ( spl0_38
  <=> op(e2,e1) = e2 ),
    introduced(split_symbol_definition) ).

fof(f345,plain,
    ( op(e2,e1) = e2
    | ~ spl0_38 ),
    inference(component_clause,[status(thm)],[f344]) ).

fof(f351,plain,
    ( spl0_40
  <=> op(e2,e2) = e0 ),
    introduced(split_symbol_definition) ).

fof(f352,plain,
    ( op(e2,e2) = e0
    | ~ spl0_40 ),
    inference(component_clause,[status(thm)],[f351]) ).

fof(f354,plain,
    ( spl0_41
  <=> op(e2,e2) = e1 ),
    introduced(split_symbol_definition) ).

fof(f355,plain,
    ( op(e2,e2) = e1
    | ~ spl0_41 ),
    inference(component_clause,[status(thm)],[f354]) ).

fof(f357,plain,
    ( spl0_42
  <=> op(e2,e2) = e2 ),
    introduced(split_symbol_definition) ).

fof(f360,plain,
    ( spl0_43
  <=> op(e2,e2) = e3 ),
    introduced(split_symbol_definition) ).

fof(f361,plain,
    ( op(e2,e2) = e3
    | ~ spl0_43 ),
    inference(component_clause,[status(thm)],[f360]) ).

fof(f363,plain,
    ( spl0_40
    | spl0_41
    | spl0_42
    | spl0_43 ),
    inference(split_clause,[status(thm)],[f40,f351,f354,f357,f360]) ).

fof(f364,plain,
    ( spl0_44
  <=> op(e2,e3) = e0 ),
    introduced(split_symbol_definition) ).

fof(f365,plain,
    ( op(e2,e3) = e0
    | ~ spl0_44 ),
    inference(component_clause,[status(thm)],[f364]) ).

fof(f367,plain,
    ( spl0_45
  <=> op(e2,e3) = e1 ),
    introduced(split_symbol_definition) ).

fof(f368,plain,
    ( op(e2,e3) = e1
    | ~ spl0_45 ),
    inference(component_clause,[status(thm)],[f367]) ).

fof(f370,plain,
    ( spl0_46
  <=> op(e2,e3) = e2 ),
    introduced(split_symbol_definition) ).

fof(f371,plain,
    ( op(e2,e3) = e2
    | ~ spl0_46 ),
    inference(component_clause,[status(thm)],[f370]) ).

fof(f373,plain,
    ( spl0_47
  <=> op(e2,e3) = e3 ),
    introduced(split_symbol_definition) ).

fof(f374,plain,
    ( op(e2,e3) = e3
    | ~ spl0_47 ),
    inference(component_clause,[status(thm)],[f373]) ).

fof(f376,plain,
    ( spl0_44
    | spl0_45
    | spl0_46
    | spl0_47 ),
    inference(split_clause,[status(thm)],[f41,f364,f367,f370,f373]) ).

fof(f377,plain,
    ( spl0_48
  <=> op(e3,e0) = e0 ),
    introduced(split_symbol_definition) ).

fof(f378,plain,
    ( op(e3,e0) = e0
    | ~ spl0_48 ),
    inference(component_clause,[status(thm)],[f377]) ).

fof(f380,plain,
    ( spl0_49
  <=> op(e3,e0) = e1 ),
    introduced(split_symbol_definition) ).

fof(f381,plain,
    ( op(e3,e0) = e1
    | ~ spl0_49 ),
    inference(component_clause,[status(thm)],[f380]) ).

fof(f383,plain,
    ( spl0_50
  <=> op(e3,e0) = e2 ),
    introduced(split_symbol_definition) ).

fof(f384,plain,
    ( op(e3,e0) = e2
    | ~ spl0_50 ),
    inference(component_clause,[status(thm)],[f383]) ).

fof(f386,plain,
    ( spl0_51
  <=> op(e3,e0) = e3 ),
    introduced(split_symbol_definition) ).

fof(f387,plain,
    ( op(e3,e0) = e3
    | ~ spl0_51 ),
    inference(component_clause,[status(thm)],[f386]) ).

fof(f389,plain,
    ( spl0_48
    | spl0_49
    | spl0_50
    | spl0_51 ),
    inference(split_clause,[status(thm)],[f42,f377,f380,f383,f386]) ).

fof(f390,plain,
    ( spl0_52
  <=> op(e3,e1) = e0 ),
    introduced(split_symbol_definition) ).

fof(f391,plain,
    ( op(e3,e1) = e0
    | ~ spl0_52 ),
    inference(component_clause,[status(thm)],[f390]) ).

fof(f393,plain,
    ( spl0_53
  <=> op(e3,e1) = e1 ),
    introduced(split_symbol_definition) ).

fof(f394,plain,
    ( op(e3,e1) = e1
    | ~ spl0_53 ),
    inference(component_clause,[status(thm)],[f393]) ).

fof(f395,plain,
    ( op(e3,e1) != e1
    | spl0_53 ),
    inference(component_clause,[status(thm)],[f393]) ).

fof(f396,plain,
    ( spl0_54
  <=> op(e3,e1) = e2 ),
    introduced(split_symbol_definition) ).

fof(f397,plain,
    ( op(e3,e1) = e2
    | ~ spl0_54 ),
    inference(component_clause,[status(thm)],[f396]) ).

fof(f399,plain,
    ( spl0_55
  <=> op(e3,e1) = e3 ),
    introduced(split_symbol_definition) ).

fof(f400,plain,
    ( op(e3,e1) = e3
    | ~ spl0_55 ),
    inference(component_clause,[status(thm)],[f399]) ).

fof(f403,plain,
    ( spl0_56
  <=> op(e3,e2) = e0 ),
    introduced(split_symbol_definition) ).

fof(f404,plain,
    ( op(e3,e2) = e0
    | ~ spl0_56 ),
    inference(component_clause,[status(thm)],[f403]) ).

fof(f409,plain,
    ( spl0_58
  <=> op(e3,e2) = e2 ),
    introduced(split_symbol_definition) ).

fof(f410,plain,
    ( op(e3,e2) = e2
    | ~ spl0_58 ),
    inference(component_clause,[status(thm)],[f409]) ).

fof(f412,plain,
    ( spl0_59
  <=> op(e3,e2) = e3 ),
    introduced(split_symbol_definition) ).

fof(f413,plain,
    ( op(e3,e2) = e3
    | ~ spl0_59 ),
    inference(component_clause,[status(thm)],[f412]) ).

fof(f416,plain,
    ( spl0_60
  <=> op(e3,e3) = e0 ),
    introduced(split_symbol_definition) ).

fof(f417,plain,
    ( op(e3,e3) = e0
    | ~ spl0_60 ),
    inference(component_clause,[status(thm)],[f416]) ).

fof(f419,plain,
    ( spl0_61
  <=> op(e3,e3) = e1 ),
    introduced(split_symbol_definition) ).

fof(f420,plain,
    ( op(e3,e3) = e1
    | ~ spl0_61 ),
    inference(component_clause,[status(thm)],[f419]) ).

fof(f422,plain,
    ( spl0_62
  <=> op(e3,e3) = e2 ),
    introduced(split_symbol_definition) ).

fof(f423,plain,
    ( op(e3,e3) = e2
    | ~ spl0_62 ),
    inference(component_clause,[status(thm)],[f422]) ).

fof(f425,plain,
    ( spl0_63
  <=> op(e3,e3) = e3 ),
    introduced(split_symbol_definition) ).

fof(f426,plain,
    ( op(e3,e3) = e3
    | ~ spl0_63 ),
    inference(component_clause,[status(thm)],[f425]) ).

fof(f428,plain,
    ( spl0_60
    | spl0_61
    | spl0_62
    | spl0_63 ),
    inference(split_clause,[status(thm)],[f45,f416,f419,f422,f425]) ).

fof(f429,plain,
    ( spl0_0
    | spl0_4
    | spl0_8
    | spl0_12 ),
    inference(split_clause,[status(thm)],[f46,f221,f234,f247,f260]) ).

fof(f431,plain,
    ( spl0_1
    | spl0_5
    | spl0_9
    | spl0_13 ),
    inference(split_clause,[status(thm)],[f48,f224,f237,f250,f263]) ).

fof(f432,plain,
    ( spl0_1
    | spl0_17
    | spl0_33
    | spl0_49 ),
    inference(split_clause,[status(thm)],[f49,f224,f276,f328,f380]) ).

fof(f433,plain,
    ( spl0_2
    | spl0_6
    | spl0_10
    | spl0_14 ),
    inference(split_clause,[status(thm)],[f50,f227,f240,f253,f266]) ).

fof(f434,plain,
    ( spl0_2
    | spl0_18
    | spl0_34
    | spl0_50 ),
    inference(split_clause,[status(thm)],[f51,f227,f279,f331,f383]) ).

fof(f436,plain,
    ( spl0_3
    | spl0_19
    | spl0_35
    | spl0_51 ),
    inference(split_clause,[status(thm)],[f53,f230,f282,f334,f386]) ).

fof(f438,plain,
    ( spl0_4
    | spl0_20
    | spl0_36
    | spl0_52 ),
    inference(split_clause,[status(thm)],[f55,f234,f286,f338,f390]) ).

fof(f440,plain,
    ( spl0_5
    | spl0_21
    | spl0_37
    | spl0_53 ),
    inference(split_clause,[status(thm)],[f57,f237,f289,f341,f393]) ).

fof(f441,plain,
    ( spl0_18
    | spl0_22
    | spl0_26
    | spl0_30 ),
    inference(split_clause,[status(thm)],[f58,f279,f292,f305,f318]) ).

fof(f442,plain,
    ( spl0_6
    | spl0_22
    | spl0_38
    | spl0_54 ),
    inference(split_clause,[status(thm)],[f59,f240,f292,f344,f396]) ).

fof(f443,plain,
    ( spl0_19
    | spl0_23
    | spl0_27
    | spl0_31 ),
    inference(split_clause,[status(thm)],[f60,f282,f295,f308,f321]) ).

fof(f445,plain,
    ( spl0_32
    | spl0_36
    | spl0_40
    | spl0_44 ),
    inference(split_clause,[status(thm)],[f62,f325,f338,f351,f364]) ).

fof(f449,plain,
    ( spl0_34
    | spl0_38
    | spl0_42
    | spl0_46 ),
    inference(split_clause,[status(thm)],[f66,f331,f344,f357,f370]) ).

fof(f452,plain,
    ( spl0_11
    | spl0_27
    | spl0_43
    | spl0_59 ),
    inference(split_clause,[status(thm)],[f69,f256,f308,f360,f412]) ).

fof(f453,plain,
    ( spl0_48
    | spl0_52
    | spl0_56
    | spl0_60 ),
    inference(split_clause,[status(thm)],[f70,f377,f390,f403,f416]) ).

fof(f456,plain,
    ( spl0_13
    | spl0_29
    | spl0_45
    | spl0_61 ),
    inference(split_clause,[status(thm)],[f73,f263,f315,f367,f419]) ).

fof(f459,plain,
    ( spl0_51
    | spl0_55
    | spl0_59
    | spl0_63 ),
    inference(split_clause,[status(thm)],[f76,f386,f399,f412,f425]) ).

fof(f461,plain,
    ( spl0_64
  <=> pd0_0 ),
    introduced(split_symbol_definition) ).

fof(f464,plain,
    ( spl0_65
  <=> op(e3,op(e0,e3)) = op(e0,e3) ),
    introduced(split_symbol_definition) ).

fof(f465,plain,
    ( op(e3,op(e0,e3)) = op(e0,e3)
    | ~ spl0_65 ),
    inference(component_clause,[status(thm)],[f464]) ).

fof(f467,plain,
    ( spl0_64
    | spl0_65 ),
    inference(split_clause,[status(thm)],[f150,f461,f464]) ).

fof(f472,plain,
    ( spl0_67
  <=> op(e3,op(e2,e3)) = op(e2,e3) ),
    introduced(split_symbol_definition) ).

fof(f473,plain,
    ( op(e3,op(e2,e3)) = op(e2,e3)
    | ~ spl0_67 ),
    inference(component_clause,[status(thm)],[f472]) ).

fof(f475,plain,
    ( spl0_64
    | spl0_67 ),
    inference(split_clause,[status(thm)],[f152,f461,f472]) ).

fof(f484,plain,
    ( spl0_70
  <=> e0 = op(op(e3,e1),op(e3,e1)) ),
    introduced(split_symbol_definition) ).

fof(f486,plain,
    ( e0 != op(op(e3,e1),op(e3,e1))
    | spl0_70 ),
    inference(component_clause,[status(thm)],[f484]) ).

fof(f487,plain,
    ( ~ spl0_70
    | ~ spl0_54 ),
    inference(split_clause,[status(thm)],[f157,f484,f396]) ).

fof(f488,plain,
    ( spl0_71
  <=> e0 = op(op(e1,e2),op(e1,e2)) ),
    introduced(split_symbol_definition) ).

fof(f490,plain,
    ( e0 != op(op(e1,e2),op(e1,e2))
    | spl0_71 ),
    inference(component_clause,[status(thm)],[f488]) ).

fof(f491,plain,
    ( ~ spl0_71
    | ~ spl0_27 ),
    inference(split_clause,[status(thm)],[f159,f488,f308]) ).

fof(f500,plain,
    ( spl0_74
  <=> e0 = op(op(e2,e3),op(e2,e3)) ),
    introduced(split_symbol_definition) ).

fof(f502,plain,
    ( e0 != op(op(e2,e3),op(e2,e3))
    | spl0_74 ),
    inference(component_clause,[status(thm)],[f500]) ).

fof(f503,plain,
    ( ~ spl0_74
    | ~ spl0_45 ),
    inference(split_clause,[status(thm)],[f165,f500,f367]) ).

fof(f508,plain,
    ( spl0_76
  <=> e1 = op(op(e3,e0),op(e3,e0)) ),
    introduced(split_symbol_definition) ).

fof(f511,plain,
    ( ~ spl0_76
    | ~ spl0_50 ),
    inference(split_clause,[status(thm)],[f169,f508,f383]) ).

fof(f512,plain,
    ( spl0_77
  <=> e1 = op(op(e0,e2),op(e0,e2)) ),
    introduced(split_symbol_definition) ).

fof(f514,plain,
    ( e1 != op(op(e0,e2),op(e0,e2))
    | spl0_77 ),
    inference(component_clause,[status(thm)],[f512]) ).

fof(f515,plain,
    ( ~ spl0_77
    | ~ spl0_11 ),
    inference(split_clause,[status(thm)],[f171,f512,f256]) ).

fof(f516,plain,
    ( spl0_78
  <=> e1 = op(op(e3,e2),op(e3,e2)) ),
    introduced(split_symbol_definition) ).

fof(f518,plain,
    ( e1 != op(op(e3,e2),op(e3,e2))
    | spl0_78 ),
    inference(component_clause,[status(thm)],[f516]) ).

fof(f519,plain,
    ( ~ spl0_78
    | ~ spl0_56 ),
    inference(split_clause,[status(thm)],[f173,f516,f403]) ).

fof(f520,plain,
    ( spl0_79
  <=> e1 = op(op(e0,e3),op(e0,e3)) ),
    introduced(split_symbol_definition) ).

fof(f522,plain,
    ( e1 != op(op(e0,e3),op(e0,e3))
    | spl0_79 ),
    inference(component_clause,[status(thm)],[f520]) ).

fof(f523,plain,
    ( ~ spl0_79
    | ~ spl0_14 ),
    inference(split_clause,[status(thm)],[f175,f520,f266]) ).

fof(f524,plain,
    ( spl0_80
  <=> e1 = op(op(e2,e3),op(e2,e3)) ),
    introduced(split_symbol_definition) ).

fof(f526,plain,
    ( e1 != op(op(e2,e3),op(e2,e3))
    | spl0_80 ),
    inference(component_clause,[status(thm)],[f524]) ).

fof(f527,plain,
    ( ~ spl0_80
    | ~ spl0_44 ),
    inference(split_clause,[status(thm)],[f177,f524,f364]) ).

fof(f528,plain,
    ( spl0_81
  <=> e2 = op(op(e1,e0),op(e1,e0)) ),
    introduced(split_symbol_definition) ).

fof(f530,plain,
    ( e2 != op(op(e1,e0),op(e1,e0))
    | spl0_81 ),
    inference(component_clause,[status(thm)],[f528]) ).

fof(f531,plain,
    ( ~ spl0_81
    | ~ spl0_19 ),
    inference(split_clause,[status(thm)],[f179,f528,f282]) ).

fof(f532,plain,
    ( spl0_82
  <=> e2 = op(op(e3,e0),op(e3,e0)) ),
    introduced(split_symbol_definition) ).

fof(f534,plain,
    ( e2 != op(op(e3,e0),op(e3,e0))
    | spl0_82 ),
    inference(component_clause,[status(thm)],[f532]) ).

fof(f535,plain,
    ( ~ spl0_82
    | ~ spl0_49 ),
    inference(split_clause,[status(thm)],[f181,f532,f380]) ).

fof(f536,plain,
    ( spl0_83
  <=> e2 = op(op(e0,e1),op(e0,e1)) ),
    introduced(split_symbol_definition) ).

fof(f539,plain,
    ( ~ spl0_83
    | ~ spl0_7 ),
    inference(split_clause,[status(thm)],[f183,f536,f243]) ).

fof(f540,plain,
    ( spl0_84
  <=> e2 = op(op(e3,e1),op(e3,e1)) ),
    introduced(split_symbol_definition) ).

fof(f542,plain,
    ( e2 != op(op(e3,e1),op(e3,e1))
    | spl0_84 ),
    inference(component_clause,[status(thm)],[f540]) ).

fof(f544,plain,
    ( spl0_85
  <=> e2 = op(op(e0,e3),op(e0,e3)) ),
    introduced(split_symbol_definition) ).

fof(f546,plain,
    ( e2 != op(op(e0,e3),op(e0,e3))
    | spl0_85 ),
    inference(component_clause,[status(thm)],[f544]) ).

fof(f547,plain,
    ( ~ spl0_85
    | ~ spl0_13 ),
    inference(split_clause,[status(thm)],[f187,f544,f263]) ).

fof(f560,plain,
    ( spl0_89
  <=> e3 = op(op(e0,e1),op(e0,e1)) ),
    introduced(split_symbol_definition) ).

fof(f562,plain,
    ( e3 != op(op(e0,e1),op(e0,e1))
    | spl0_89 ),
    inference(component_clause,[status(thm)],[f560]) ).

fof(f563,plain,
    ( ~ spl0_89
    | ~ spl0_6 ),
    inference(split_clause,[status(thm)],[f195,f560,f240]) ).

fof(f564,plain,
    ( spl0_90
  <=> e3 = op(op(e2,e1),op(e2,e1)) ),
    introduced(split_symbol_definition) ).

fof(f566,plain,
    ( e3 != op(op(e2,e1),op(e2,e1))
    | spl0_90 ),
    inference(component_clause,[status(thm)],[f564]) ).

fof(f567,plain,
    ( ~ spl0_90
    | ~ spl0_36 ),
    inference(split_clause,[status(thm)],[f197,f564,f338]) ).

fof(f568,plain,
    ( spl0_91
  <=> e3 = op(op(e0,e2),op(e0,e2)) ),
    introduced(split_symbol_definition) ).

fof(f570,plain,
    ( e3 != op(op(e0,e2),op(e0,e2))
    | spl0_91 ),
    inference(component_clause,[status(thm)],[f568]) ).

fof(f576,plain,
    ( spl0_93
  <=> pd0_1 ),
    introduced(split_symbol_definition) ).

fof(f579,plain,
    ( spl0_94
  <=> op(e2,op(e0,e2)) = op(e0,e2) ),
    introduced(split_symbol_definition) ).

fof(f580,plain,
    ( op(e2,op(e0,e2)) = op(e0,e2)
    | ~ spl0_94 ),
    inference(component_clause,[status(thm)],[f579]) ).

fof(f582,plain,
    ( ~ spl0_64
    | spl0_93
    | spl0_94 ),
    inference(split_clause,[status(thm)],[f205,f461,f576,f579]) ).

fof(f591,plain,
    ( spl0_97
  <=> op(e2,op(e3,e2)) = op(e3,e2) ),
    introduced(split_symbol_definition) ).

fof(f592,plain,
    ( op(e2,op(e3,e2)) = op(e3,e2)
    | ~ spl0_97 ),
    inference(component_clause,[status(thm)],[f591]) ).

fof(f594,plain,
    ( ~ spl0_64
    | spl0_93
    | spl0_97 ),
    inference(split_clause,[status(thm)],[f208,f461,f576,f591]) ).

fof(f595,plain,
    ( spl0_98
  <=> pd0_2 ),
    introduced(split_symbol_definition) ).

fof(f598,plain,
    ( spl0_99
  <=> op(e1,op(e0,e1)) = op(e0,e1) ),
    introduced(split_symbol_definition) ).

fof(f599,plain,
    ( op(e1,op(e0,e1)) = op(e0,e1)
    | ~ spl0_99 ),
    inference(component_clause,[status(thm)],[f598]) ).

fof(f601,plain,
    ( ~ spl0_93
    | spl0_98
    | spl0_99 ),
    inference(split_clause,[status(thm)],[f212,f576,f595,f598]) ).

fof(f610,plain,
    ( spl0_102
  <=> op(e1,op(e3,e1)) = op(e3,e1) ),
    introduced(split_symbol_definition) ).

fof(f611,plain,
    ( op(e1,op(e3,e1)) = op(e3,e1)
    | ~ spl0_102 ),
    inference(component_clause,[status(thm)],[f610]) ).

fof(f613,plain,
    ( ~ spl0_93
    | spl0_98
    | spl0_102 ),
    inference(split_clause,[status(thm)],[f215,f576,f595,f610]) ).

fof(f614,plain,
    ( spl0_103
  <=> op(e0,op(e0,e0)) = op(e0,e0) ),
    introduced(split_symbol_definition) ).

fof(f617,plain,
    ( ~ spl0_98
    | spl0_103 ),
    inference(split_clause,[status(thm)],[f217,f595,f614]) ).

fof(f618,plain,
    ( spl0_104
  <=> op(e0,op(e1,e0)) = op(e1,e0) ),
    introduced(split_symbol_definition) ).

fof(f621,plain,
    ( ~ spl0_98
    | spl0_104 ),
    inference(split_clause,[status(thm)],[f218,f595,f618]) ).

fof(f622,plain,
    ( spl0_105
  <=> op(e0,op(e2,e0)) = op(e2,e0) ),
    introduced(split_symbol_definition) ).

fof(f623,plain,
    ( op(e0,op(e2,e0)) = op(e2,e0)
    | ~ spl0_105 ),
    inference(component_clause,[status(thm)],[f622]) ).

fof(f625,plain,
    ( ~ spl0_98
    | spl0_105 ),
    inference(split_clause,[status(thm)],[f219,f595,f622]) ).

fof(f626,plain,
    ( spl0_106
  <=> op(e0,op(e3,e0)) = op(e3,e0) ),
    introduced(split_symbol_definition) ).

fof(f627,plain,
    ( op(e0,op(e3,e0)) = op(e3,e0)
    | ~ spl0_106 ),
    inference(component_clause,[status(thm)],[f626]) ).

fof(f629,plain,
    ( ~ spl0_98
    | spl0_106 ),
    inference(split_clause,[status(thm)],[f220,f595,f626]) ).

fof(f630,plain,
    ( op(e0,e2) != e3
    | ~ spl0_59 ),
    inference(paramodulation,[status(thm)],[f413,f92]) ).

fof(f637,plain,
    ( op(e0,e3) != e3
    | ~ spl0_47 ),
    inference(paramodulation,[status(thm)],[f374,f97]) ).

fof(f639,plain,
    ( op(e1,e3) != e3
    | ~ spl0_47 ),
    inference(paramodulation,[status(thm)],[f374,f99]) ).

fof(f641,plain,
    ( op(e2,e3) != e3
    | ~ spl0_63 ),
    inference(paramodulation,[status(thm)],[f426,f101]) ).

fof(f642,plain,
    ( e3 != e3
    | ~ spl0_47
    | ~ spl0_63 ),
    inference(forward_demodulation,[status(thm)],[f374,f641]) ).

fof(f643,plain,
    ( $false
    | ~ spl0_47
    | ~ spl0_63 ),
    inference(trivial_equality_resolution,[status(esa)],[f642]) ).

fof(f644,plain,
    ( ~ spl0_47
    | ~ spl0_63 ),
    inference(contradiction_clause,[status(thm)],[f643]) ).

fof(f654,plain,
    ( op(e3,e2) != e2
    | ~ spl0_62 ),
    inference(paramodulation,[status(thm)],[f423,f125]) ).

fof(f655,plain,
    ( op(e3,e1) != e2
    | ~ spl0_62 ),
    inference(paramodulation,[status(thm)],[f423,f124]) ).

fof(f659,plain,
    ( op(e0,e3) != e2
    | ~ spl0_62 ),
    inference(paramodulation,[status(thm)],[f423,f98]) ).

fof(f661,plain,
    ( op(e2,e1) != e2
    | ~ spl0_46 ),
    inference(paramodulation,[status(thm)],[f371,f118]) ).

fof(f665,plain,
    ( e2 = e3
    | ~ spl0_58
    | ~ spl0_59 ),
    inference(backward_demodulation,[status(thm)],[f410,f413]) ).

fof(f666,plain,
    ( $false
    | ~ spl0_58
    | ~ spl0_59 ),
    inference(forward_subsumption_resolution,[status(thm)],[f665,f131]) ).

fof(f667,plain,
    ( ~ spl0_58
    | ~ spl0_59 ),
    inference(contradiction_clause,[status(thm)],[f666]) ).

fof(f668,plain,
    ( op(e2,e2) = e3
    | ~ spl0_46 ),
    inference(forward_demodulation,[status(thm)],[f371,f145]) ).

fof(f669,plain,
    ( op(e3,e2) = e2
    | ~ spl0_46 ),
    inference(backward_demodulation,[status(thm)],[f668,f144]) ).

fof(f670,plain,
    ( spl0_58
    | ~ spl0_46 ),
    inference(split_clause,[status(thm)],[f669,f409,f370]) ).

fof(f672,plain,
    ( op(e2,e0) != e3
    | ~ spl0_46 ),
    inference(paramodulation,[status(thm)],[f668,f115]) ).

fof(f674,plain,
    ( op(e0,e2) != e3
    | ~ spl0_46 ),
    inference(paramodulation,[status(thm)],[f668,f91]) ).

fof(f677,plain,
    ( op(e2,e2) != e2
    | ~ spl0_58 ),
    inference(paramodulation,[status(thm)],[f410,f95]) ).

fof(f678,plain,
    ( op(e1,e2) != e2
    | ~ spl0_58 ),
    inference(paramodulation,[status(thm)],[f410,f94]) ).

fof(f680,plain,
    ( op(e3,e3) = e0
    | ~ spl0_51 ),
    inference(forward_demodulation,[status(thm)],[f387,f146]) ).

fof(f687,plain,
    ( op(e1,e3) = e3
    | ~ spl0_61 ),
    inference(backward_demodulation,[status(thm)],[f420,f149]) ).

fof(f691,plain,
    ( op(e2,e3) != e1
    | ~ spl0_61 ),
    inference(paramodulation,[status(thm)],[f420,f101]) ).

fof(f694,plain,
    ( op(e1,e1) = e3
    | ~ spl0_29 ),
    inference(backward_demodulation,[status(thm)],[f316,f141]) ).

fof(f695,plain,
    ( op(e1,e2) != e1
    | ~ spl0_29 ),
    inference(paramodulation,[status(thm)],[f316,f113]) ).

fof(f697,plain,
    ( op(e1,e0) != e1
    | ~ spl0_29 ),
    inference(paramodulation,[status(thm)],[f316,f110]) ).

fof(f698,plain,
    ( op(e0,e3) != e1
    | ~ spl0_29 ),
    inference(paramodulation,[status(thm)],[f316,f96]) ).

fof(f699,plain,
    ( op(e3,e0) != e1
    | ~ spl0_53 ),
    inference(paramodulation,[status(thm)],[f394,f120]) ).

fof(f703,plain,
    ( e0 = e1
    | ~ spl0_60
    | ~ spl0_61 ),
    inference(backward_demodulation,[status(thm)],[f417,f420]) ).

fof(f704,plain,
    ( $false
    | ~ spl0_60
    | ~ spl0_61 ),
    inference(forward_subsumption_resolution,[status(thm)],[f703,f126]) ).

fof(f705,plain,
    ( ~ spl0_60
    | ~ spl0_61 ),
    inference(contradiction_clause,[status(thm)],[f704]) ).

fof(f706,plain,
    ( op(e0,e0) = e3
    | ~ spl0_12 ),
    inference(backward_demodulation,[status(thm)],[f261,f137]) ).

fof(f710,plain,
    ( op(e2,e0) != e0
    | ~ spl0_48 ),
    inference(paramodulation,[status(thm)],[f378,f83]) ).

fof(f711,plain,
    ( op(e1,e0) != e0
    | ~ spl0_48 ),
    inference(paramodulation,[status(thm)],[f378,f82]) ).

fof(f713,plain,
    ( op(e3,e2) = e2
    | ~ spl0_43 ),
    inference(backward_demodulation,[status(thm)],[f361,f144]) ).

fof(f714,plain,
    ( spl0_58
    | ~ spl0_43 ),
    inference(split_clause,[status(thm)],[f713,f409,f360]) ).

fof(f718,plain,
    ( op(e0,e2) != e3
    | ~ spl0_43 ),
    inference(paramodulation,[status(thm)],[f361,f91]) ).

fof(f721,plain,
    ( e1 = e3
    | ~ spl0_53
    | ~ spl0_55 ),
    inference(forward_demodulation,[status(thm)],[f394,f400]) ).

fof(f722,plain,
    ( $false
    | ~ spl0_53
    | ~ spl0_55 ),
    inference(forward_subsumption_resolution,[status(thm)],[f721,f130]) ).

fof(f723,plain,
    ( ~ spl0_53
    | ~ spl0_55 ),
    inference(contradiction_clause,[status(thm)],[f722]) ).

fof(f729,plain,
    ( e0 = e1
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(forward_demodulation,[status(thm)],[f261,f264]) ).

fof(f730,plain,
    ( $false
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(forward_subsumption_resolution,[status(thm)],[f729,f126]) ).

fof(f731,plain,
    ( ~ spl0_12
    | ~ spl0_13 ),
    inference(contradiction_clause,[status(thm)],[f730]) ).

fof(f732,plain,
    ( e0 = e1
    | ~ spl0_48
    | ~ spl0_49 ),
    inference(forward_demodulation,[status(thm)],[f378,f381]) ).

fof(f733,plain,
    ( $false
    | ~ spl0_48
    | ~ spl0_49 ),
    inference(forward_subsumption_resolution,[status(thm)],[f732,f126]) ).

fof(f734,plain,
    ( ~ spl0_48
    | ~ spl0_49 ),
    inference(contradiction_clause,[status(thm)],[f733]) ).

fof(f740,plain,
    ( op(e2,e1) = e2
    | ~ spl0_26 ),
    inference(backward_demodulation,[status(thm)],[f306,f140]) ).

fof(f747,plain,
    ( e3 != op(op(e0,e2),e2)
    | ~ spl0_10
    | spl0_91 ),
    inference(backward_demodulation,[status(thm)],[f254,f570]) ).

fof(f748,plain,
    ( e3 != op(e2,e2)
    | ~ spl0_10
    | spl0_91 ),
    inference(forward_demodulation,[status(thm)],[f254,f747]) ).

fof(f750,plain,
    ( op(e2,e0) = e2
    | ~ spl0_10 ),
    inference(backward_demodulation,[status(thm)],[f254,f136]) ).

fof(f753,plain,
    ( op(e2,e2) = e1
    | ~ spl0_38 ),
    inference(backward_demodulation,[status(thm)],[f345,f143]) ).

fof(f757,plain,
    ( op(e2,e2) = e0
    | ~ spl0_34 ),
    inference(backward_demodulation,[status(thm)],[f332,f142]) ).

fof(f771,plain,
    ( op(e1,e2) != e0
    | ~ spl0_40 ),
    inference(paramodulation,[status(thm)],[f352,f93]) ).

fof(f772,plain,
    ( op(e0,e2) != e0
    | ~ spl0_40 ),
    inference(paramodulation,[status(thm)],[f352,f91]) ).

fof(f776,plain,
    ( e0 = e2
    | ~ spl0_32
    | ~ spl0_34 ),
    inference(backward_demodulation,[status(thm)],[f326,f332]) ).

fof(f777,plain,
    ( $false
    | ~ spl0_32
    | ~ spl0_34 ),
    inference(forward_subsumption_resolution,[status(thm)],[f776,f127]) ).

fof(f778,plain,
    ( ~ spl0_32
    | ~ spl0_34 ),
    inference(contradiction_clause,[status(thm)],[f777]) ).

fof(f779,plain,
    ( op(e3,e1) = e1
    | ~ spl0_23 ),
    inference(backward_demodulation,[status(thm)],[f296,f139]) ).

fof(f780,plain,
    ( spl0_53
    | ~ spl0_23 ),
    inference(split_clause,[status(thm)],[f779,f393,f295]) ).

fof(f783,plain,
    ( op(e1,e3) = e1
    | ~ spl0_53 ),
    inference(backward_demodulation,[status(thm)],[f394,f147]) ).

fof(f784,plain,
    ( spl0_29
    | ~ spl0_53 ),
    inference(split_clause,[status(thm)],[f783,f315,f393]) ).

fof(f785,plain,
    ( spl0_23
    | ~ spl0_29 ),
    inference(split_clause,[status(thm)],[f694,f295,f315]) ).

fof(f792,plain,
    ( op(e2,e1) = e1
    | ~ spl0_22 ),
    inference(backward_demodulation,[status(thm)],[f293,f139]) ).

fof(f793,plain,
    ( spl0_37
    | ~ spl0_22 ),
    inference(split_clause,[status(thm)],[f792,f341,f292]) ).

fof(f796,plain,
    ( op(e2,e0) != e1
    | ~ spl0_37 ),
    inference(paramodulation,[status(thm)],[f342,f114]) ).

fof(f797,plain,
    ( op(e1,e1) != e1
    | ~ spl0_37 ),
    inference(paramodulation,[status(thm)],[f342,f87]) ).

fof(f798,plain,
    ( op(e0,e1) != e1
    | ~ spl0_37 ),
    inference(paramodulation,[status(thm)],[f342,f85]) ).

fof(f803,plain,
    ( spl0_41
    | ~ spl0_38 ),
    inference(split_clause,[status(thm)],[f753,f354,f344]) ).

fof(f809,plain,
    ( op(e1,e0) = e1
    | ~ spl0_5 ),
    inference(backward_demodulation,[status(thm)],[f238,f135]) ).

fof(f813,plain,
    ( op(e1,e1) = e0
    | ~ spl0_17 ),
    inference(backward_demodulation,[status(thm)],[f277,f138]) ).

fof(f823,plain,
    ( op(e3,e0) = e0
    | ~ spl0_3 ),
    inference(backward_demodulation,[status(thm)],[f231,f134]) ).

fof(f824,plain,
    ( spl0_48
    | ~ spl0_3 ),
    inference(split_clause,[status(thm)],[f823,f377,f230]) ).

fof(f825,plain,
    ( op(e0,e3) = e0
    | ~ spl0_48 ),
    inference(backward_demodulation,[status(thm)],[f378,f146]) ).

fof(f826,plain,
    ( spl0_12
    | ~ spl0_48 ),
    inference(split_clause,[status(thm)],[f825,f260,f377]) ).

fof(f827,plain,
    ( spl0_3
    | ~ spl0_12 ),
    inference(split_clause,[status(thm)],[f706,f230,f260]) ).

fof(f828,plain,
    ( e1 = e2
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(backward_demodulation,[status(thm)],[f225,f228]) ).

fof(f829,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_subsumption_resolution,[status(thm)],[f828,f129]) ).

fof(f830,plain,
    ( ~ spl0_1
    | ~ spl0_2 ),
    inference(contradiction_clause,[status(thm)],[f829]) ).

fof(f834,plain,
    ( op(e3,e1) = e3
    | ~ spl0_31 ),
    inference(backward_demodulation,[status(thm)],[f322,f141]) ).

fof(f835,plain,
    ( spl0_55
    | ~ spl0_31 ),
    inference(split_clause,[status(thm)],[f834,f399,f321]) ).

fof(f840,plain,
    ( ~ spl0_42
    | ~ spl0_58 ),
    inference(split_clause,[status(thm)],[f677,f357,f409]) ).

fof(f843,plain,
    ( op(e2,e1) != e1
    | ~ spl0_41 ),
    inference(paramodulation,[status(thm)],[f355,f117]) ).

fof(f844,plain,
    ( op(e2,e0) != e1
    | ~ spl0_41 ),
    inference(paramodulation,[status(thm)],[f355,f115]) ).

fof(f846,plain,
    ( op(e0,e2) != e1
    | ~ spl0_41 ),
    inference(paramodulation,[status(thm)],[f355,f91]) ).

fof(f853,plain,
    ( op(e3,e2) != e3
    | ~ spl0_63 ),
    inference(paramodulation,[status(thm)],[f426,f125]) ).

fof(f854,plain,
    ( op(e3,e1) != e3
    | ~ spl0_63 ),
    inference(paramodulation,[status(thm)],[f426,f124]) ).

fof(f855,plain,
    ( ~ spl0_55
    | ~ spl0_63 ),
    inference(split_clause,[status(thm)],[f854,f399,f425]) ).

fof(f858,plain,
    ( ~ spl0_21
    | ~ spl0_37 ),
    inference(split_clause,[status(thm)],[f797,f289,f341]) ).

fof(f859,plain,
    ( op(e0,e3) = e1
    | ~ spl0_52 ),
    inference(backward_demodulation,[status(thm)],[f391,f147]) ).

fof(f860,plain,
    ( op(e3,e0) != e0
    | ~ spl0_52 ),
    inference(paramodulation,[status(thm)],[f391,f120]) ).

fof(f863,plain,
    ( op(e0,e1) != e0
    | ~ spl0_52 ),
    inference(paramodulation,[status(thm)],[f391,f86]) ).

fof(f865,plain,
    ( op(e0,e2) = e3
    | ~ spl0_44 ),
    inference(backward_demodulation,[status(thm)],[f365,f145]) ).

fof(f866,plain,
    ( op(e2,e2) != e0
    | ~ spl0_44 ),
    inference(paramodulation,[status(thm)],[f365,f119]) ).

fof(f867,plain,
    ( ~ spl0_40
    | ~ spl0_44 ),
    inference(split_clause,[status(thm)],[f866,f351,f364]) ).

fof(f869,plain,
    ( op(e2,e0) != e0
    | ~ spl0_44 ),
    inference(paramodulation,[status(thm)],[f365,f116]) ).

fof(f883,plain,
    ( e3 != op(op(e2,e1),e0)
    | ~ spl0_36
    | spl0_90 ),
    inference(backward_demodulation,[status(thm)],[f339,f566]) ).

fof(f884,plain,
    ( e3 != op(e0,e0)
    | ~ spl0_36
    | spl0_90 ),
    inference(forward_demodulation,[status(thm)],[f339,f883]) ).

fof(f886,plain,
    ( op(e2,e0) != e0
    | ~ spl0_36 ),
    inference(paramodulation,[status(thm)],[f339,f114]) ).

fof(f897,plain,
    ( e0 = e1
    | ~ spl0_36
    | ~ spl0_37 ),
    inference(forward_demodulation,[status(thm)],[f339,f342]) ).

fof(f898,plain,
    ( $false
    | ~ spl0_36
    | ~ spl0_37 ),
    inference(forward_subsumption_resolution,[status(thm)],[f897,f126]) ).

fof(f899,plain,
    ( ~ spl0_36
    | ~ spl0_37 ),
    inference(contradiction_clause,[status(thm)],[f898]) ).

fof(f903,plain,
    ( ~ spl0_58
    | ~ spl0_62 ),
    inference(split_clause,[status(thm)],[f654,f409,f422]) ).

fof(f906,plain,
    ( e0 = e3
    | ~ spl0_52
    | ~ spl0_55 ),
    inference(forward_demodulation,[status(thm)],[f391,f400]) ).

fof(f907,plain,
    ( $false
    | ~ spl0_52
    | ~ spl0_55 ),
    inference(forward_subsumption_resolution,[status(thm)],[f906,f128]) ).

fof(f908,plain,
    ( ~ spl0_52
    | ~ spl0_55 ),
    inference(contradiction_clause,[status(thm)],[f907]) ).

fof(f913,plain,
    ( op(e0,e1) = e1
    | ~ spl0_20 ),
    inference(backward_demodulation,[status(thm)],[f287,f139]) ).

fof(f914,plain,
    ( spl0_5
    | ~ spl0_20 ),
    inference(split_clause,[status(thm)],[f913,f237,f286]) ).

fof(f915,plain,
    ( e3 != op(e2,op(e0,e1))
    | ~ spl0_6
    | spl0_89 ),
    inference(forward_demodulation,[status(thm)],[f241,f562]) ).

fof(f916,plain,
    ( e3 != op(e2,e2)
    | ~ spl0_6
    | spl0_89 ),
    inference(forward_demodulation,[status(thm)],[f241,f915]) ).

fof(f917,plain,
    ( op(e2,e0) = e1
    | ~ spl0_6 ),
    inference(forward_demodulation,[status(thm)],[f241,f135]) ).

fof(f918,plain,
    ( e1 = e3
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(forward_demodulation,[status(thm)],[f251,f257]) ).

fof(f919,plain,
    ( $false
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(forward_subsumption_resolution,[status(thm)],[f918,f130]) ).

fof(f920,plain,
    ( ~ spl0_9
    | ~ spl0_11 ),
    inference(contradiction_clause,[status(thm)],[f919]) ).

fof(f921,plain,
    ( e0 != e0
    | ~ spl0_24
    | ~ spl0_40 ),
    inference(forward_demodulation,[status(thm)],[f300,f771]) ).

fof(f922,plain,
    ( $false
    | ~ spl0_24
    | ~ spl0_40 ),
    inference(trivial_equality_resolution,[status(esa)],[f921]) ).

fof(f923,plain,
    ( ~ spl0_24
    | ~ spl0_40 ),
    inference(contradiction_clause,[status(thm)],[f922]) ).

fof(f925,plain,
    ( op(e0,e0) != e0
    | ~ spl0_16 ),
    inference(paramodulation,[status(thm)],[f274,f78]) ).

fof(f926,plain,
    ( ~ spl0_25
    | ~ spl0_29 ),
    inference(split_clause,[status(thm)],[f695,f302,f315]) ).

fof(f927,plain,
    ( op(e1,e1) != e1
    | ~ spl0_25 ),
    inference(paramodulation,[status(thm)],[f303,f111]) ).

fof(f929,plain,
    ( op(e0,e2) != e1
    | ~ spl0_25 ),
    inference(paramodulation,[status(thm)],[f303,f90]) ).

fof(f930,plain,
    ( spl0_38
    | ~ spl0_26 ),
    inference(split_clause,[status(thm)],[f740,f344,f305]) ).

fof(f932,plain,
    ( ~ spl0_37
    | ~ spl0_41 ),
    inference(split_clause,[status(thm)],[f843,f341,f354]) ).

fof(f933,plain,
    ( op(e0,e1) != e0
    | ~ spl0_8 ),
    inference(paramodulation,[status(thm)],[f248,f105]) ).

fof(f934,plain,
    ( ~ spl0_4
    | ~ spl0_8 ),
    inference(split_clause,[status(thm)],[f933,f234,f247]) ).

fof(f936,plain,
    ( op(e1,e0) != e0
    | ~ spl0_32 ),
    inference(paramodulation,[status(thm)],[f326,f81]) ).

fof(f937,plain,
    ( ~ spl0_16
    | ~ spl0_32 ),
    inference(split_clause,[status(thm)],[f936,f273,f325]) ).

fof(f939,plain,
    ( ~ spl0_26
    | ~ spl0_58 ),
    inference(split_clause,[status(thm)],[f678,f305,f409]) ).

fof(f950,plain,
    ( op(e0,e2) = e1
    | ~ spl0_36 ),
    inference(backward_demodulation,[status(thm)],[f339,f143]) ).

fof(f951,plain,
    ( spl0_9
    | ~ spl0_36 ),
    inference(split_clause,[status(thm)],[f950,f250,f338]) ).

fof(f955,plain,
    ( spl0_13
    | ~ spl0_52 ),
    inference(split_clause,[status(thm)],[f859,f263,f390]) ).

fof(f956,plain,
    ( ~ spl0_48
    | ~ spl0_52 ),
    inference(split_clause,[status(thm)],[f860,f377,f390]) ).

fof(f957,plain,
    ( op(e1,e0) != e1
    | ~ spl0_33 ),
    inference(paramodulation,[status(thm)],[f329,f81]) ).

fof(f958,plain,
    ( op(e0,e0) != e1
    | ~ spl0_33 ),
    inference(paramodulation,[status(thm)],[f329,f79]) ).

fof(f959,plain,
    ( spl0_60
    | ~ spl0_51 ),
    inference(split_clause,[status(thm)],[f680,f416,f386]) ).

fof(f960,plain,
    ( ~ spl0_15
    | ~ spl0_47 ),
    inference(split_clause,[status(thm)],[f637,f269,f373]) ).

fof(f962,plain,
    ( spl0_31
    | ~ spl0_61 ),
    inference(split_clause,[status(thm)],[f687,f321,f419]) ).

fof(f963,plain,
    ( op(e2,e1) = e0
    | ~ spl0_18 ),
    inference(backward_demodulation,[status(thm)],[f280,f138]) ).

fof(f964,plain,
    ( spl0_36
    | ~ spl0_18 ),
    inference(split_clause,[status(thm)],[f963,f338,f279]) ).

fof(f968,plain,
    ( spl0_34
    | ~ spl0_10 ),
    inference(split_clause,[status(thm)],[f750,f331,f253]) ).

fof(f969,plain,
    ( ~ spl0_32
    | ~ spl0_36 ),
    inference(split_clause,[status(thm)],[f886,f325,f338]) ).

fof(f970,plain,
    ( ~ spl0_3
    | ~ spl0_36
    | spl0_90 ),
    inference(split_clause,[status(thm)],[f884,f230,f338,f564]) ).

fof(f971,plain,
    ( ~ spl0_32
    | ~ spl0_48 ),
    inference(split_clause,[status(thm)],[f710,f325,f377]) ).

fof(f973,plain,
    ( op(e3,e1) = e2
    | ~ spl0_27 ),
    inference(backward_demodulation,[status(thm)],[f309,f140]) ).

fof(f979,plain,
    ( op(e2,e2) != e1
    | ~ spl0_45 ),
    inference(paramodulation,[status(thm)],[f368,f119]) ).

fof(f980,plain,
    ( op(e2,e1) != e1
    | ~ spl0_45 ),
    inference(paramodulation,[status(thm)],[f368,f118]) ).

fof(f981,plain,
    ( op(e2,e0) != e1
    | ~ spl0_45 ),
    inference(paramodulation,[status(thm)],[f368,f116]) ).

fof(f982,plain,
    ( op(e1,e3) != e1
    | ~ spl0_45 ),
    inference(paramodulation,[status(thm)],[f368,f99]) ).

fof(f983,plain,
    ( op(e0,e3) != e1
    | ~ spl0_45 ),
    inference(paramodulation,[status(thm)],[f368,f97]) ).

fof(f985,plain,
    ( op(e2,e1) = e3
    | ~ spl0_30 ),
    inference(backward_demodulation,[status(thm)],[f319,f141]) ).

fof(f995,plain,
    ( e1 != op(e1,op(e2,e3))
    | ~ spl0_45
    | spl0_80 ),
    inference(forward_demodulation,[status(thm)],[f368,f526]) ).

fof(f996,plain,
    ( e1 != op(e1,e1)
    | ~ spl0_45
    | spl0_80 ),
    inference(forward_demodulation,[status(thm)],[f368,f995]) ).

fof(f1000,plain,
    ( e1 != op(e0,op(e0,e3))
    | ~ spl0_12
    | spl0_79 ),
    inference(forward_demodulation,[status(thm)],[f261,f522]) ).

fof(f1001,plain,
    ( e1 != op(e0,e0)
    | ~ spl0_12
    | spl0_79 ),
    inference(forward_demodulation,[status(thm)],[f261,f1000]) ).

fof(f1011,plain,
    ( e1 != e1
    | ~ spl0_45
    | ~ spl0_61 ),
    inference(forward_demodulation,[status(thm)],[f368,f691]) ).

fof(f1012,plain,
    ( $false
    | ~ spl0_45
    | ~ spl0_61 ),
    inference(trivial_equality_resolution,[status(esa)],[f1011]) ).

fof(f1013,plain,
    ( ~ spl0_45
    | ~ spl0_61 ),
    inference(contradiction_clause,[status(thm)],[f1012]) ).

fof(f1017,plain,
    ( e1 = e3
    | ~ spl0_45
    | ~ spl0_47 ),
    inference(forward_demodulation,[status(thm)],[f368,f374]) ).

fof(f1018,plain,
    ( $false
    | ~ spl0_45
    | ~ spl0_47 ),
    inference(forward_subsumption_resolution,[status(thm)],[f1017,f130]) ).

fof(f1019,plain,
    ( ~ spl0_45
    | ~ spl0_47 ),
    inference(contradiction_clause,[status(thm)],[f1018]) ).

fof(f1021,plain,
    ( ~ spl0_33
    | ~ spl0_41 ),
    inference(split_clause,[status(thm)],[f844,f328,f354]) ).

fof(f1022,plain,
    ( ~ spl0_13
    | ~ spl0_29 ),
    inference(split_clause,[status(thm)],[f698,f263,f315]) ).

fof(f1023,plain,
    ( ~ spl0_59
    | ~ spl0_63 ),
    inference(split_clause,[status(thm)],[f853,f412,f425]) ).

fof(f1029,plain,
    ( ~ spl0_8
    | ~ spl0_40 ),
    inference(split_clause,[status(thm)],[f772,f247,f351]) ).

fof(f1036,plain,
    ( ~ spl0_5
    | ~ spl0_37 ),
    inference(split_clause,[status(thm)],[f798,f237,f341]) ).

fof(f1037,plain,
    ( spl0_40
    | ~ spl0_34 ),
    inference(split_clause,[status(thm)],[f757,f351,f331]) ).

fof(f1039,plain,
    ( op(e0,e0) != e2
    | ~ spl0_10 ),
    inference(paramodulation,[status(thm)],[f254,f103]) ).

fof(f1040,plain,
    ( ~ spl0_2
    | ~ spl0_10 ),
    inference(split_clause,[status(thm)],[f1039,f227,f253]) ).

fof(f1042,plain,
    ( ~ spl0_9
    | ~ spl0_41 ),
    inference(split_clause,[status(thm)],[f846,f250,f354]) ).

fof(f1043,plain,
    ( ~ spl0_17
    | ~ spl0_29 ),
    inference(split_clause,[status(thm)],[f697,f276,f315]) ).

fof(f1044,plain,
    ( ~ spl0_0
    | ~ spl0_16 ),
    inference(split_clause,[status(thm)],[f925,f221,f273]) ).

fof(f1045,plain,
    ( ~ spl0_37
    | ~ spl0_45 ),
    inference(split_clause,[status(thm)],[f980,f341,f367]) ).

fof(f1046,plain,
    ( ~ spl0_13
    | ~ spl0_45 ),
    inference(split_clause,[status(thm)],[f983,f263,f367]) ).

fof(f1047,plain,
    ( op(e1,e2) = e3
    | ~ spl0_45 ),
    inference(backward_demodulation,[status(thm)],[f368,f145]) ).

fof(f1048,plain,
    ( e2 != op(op(e3,e1),e2)
    | ~ spl0_54
    | spl0_84 ),
    inference(backward_demodulation,[status(thm)],[f397,f542]) ).

fof(f1049,plain,
    ( e2 != op(e2,e2)
    | ~ spl0_54
    | spl0_84 ),
    inference(forward_demodulation,[status(thm)],[f397,f1048]) ).

fof(f1050,plain,
    ( op(e2,e3) = e1
    | ~ spl0_54 ),
    inference(backward_demodulation,[status(thm)],[f397,f147]) ).

fof(f1051,plain,
    ( op(e3,e0) != e2
    | ~ spl0_54 ),
    inference(paramodulation,[status(thm)],[f397,f120]) ).

fof(f1055,plain,
    ( ~ spl0_49
    | ~ spl0_53 ),
    inference(split_clause,[status(thm)],[f699,f380,f393]) ).

fof(f1056,plain,
    ( ~ spl0_43
    | ~ spl0_6
    | spl0_89 ),
    inference(split_clause,[status(thm)],[f916,f360,f240,f560]) ).

fof(f1057,plain,
    ( spl0_33
    | ~ spl0_6 ),
    inference(split_clause,[status(thm)],[f917,f328,f240]) ).

fof(f1059,plain,
    ( ~ spl0_35
    | ~ spl0_46 ),
    inference(split_clause,[status(thm)],[f672,f334,f370]) ).

fof(f1060,plain,
    ( spl0_20
    | ~ spl0_17 ),
    inference(split_clause,[status(thm)],[f813,f286,f276]) ).

fof(f1061,plain,
    ( ~ spl0_43
    | ~ spl0_10
    | spl0_91 ),
    inference(split_clause,[status(thm)],[f748,f360,f253,f568]) ).

fof(f1064,plain,
    ( ~ spl0_9
    | ~ spl0_25 ),
    inference(split_clause,[status(thm)],[f929,f250,f302]) ).

fof(f1065,plain,
    ( spl0_45
    | ~ spl0_54 ),
    inference(split_clause,[status(thm)],[f1050,f367,f396]) ).

fof(f1067,plain,
    ( ~ spl0_41
    | ~ spl0_45 ),
    inference(split_clause,[status(thm)],[f979,f354,f367]) ).

fof(f1068,plain,
    ( ~ spl0_29
    | ~ spl0_45 ),
    inference(split_clause,[status(thm)],[f982,f315,f367]) ).

fof(f1069,plain,
    ( ~ spl0_33
    | ~ spl0_37 ),
    inference(split_clause,[status(thm)],[f796,f328,f341]) ).

fof(f1080,plain,
    ( op(e0,e3) = e3
    | ~ spl0_60 ),
    inference(backward_demodulation,[status(thm)],[f417,f149]) ).

fof(f1081,plain,
    ( op(e2,e3) != e0
    | ~ spl0_60 ),
    inference(paramodulation,[status(thm)],[f417,f101]) ).

fof(f1082,plain,
    ( ~ spl0_44
    | ~ spl0_60 ),
    inference(split_clause,[status(thm)],[f1081,f364,f416]) ).

fof(f1083,plain,
    ( ~ spl0_11
    | ~ spl0_43 ),
    inference(split_clause,[status(thm)],[f718,f256,f360]) ).

fof(f1084,plain,
    ( spl0_54
    | ~ spl0_27 ),
    inference(split_clause,[status(thm)],[f973,f396,f308]) ).

fof(f1087,plain,
    ( ~ spl0_38
    | ~ spl0_46 ),
    inference(split_clause,[status(thm)],[f661,f344,f370]) ).

fof(f1088,plain,
    ( ~ spl0_11
    | ~ spl0_46 ),
    inference(split_clause,[status(thm)],[f674,f256,f370]) ).

fof(f1089,plain,
    ( ~ spl0_33
    | ~ spl0_45 ),
    inference(split_clause,[status(thm)],[f981,f328,f367]) ).

fof(f1090,plain,
    ( ~ spl0_21
    | ~ spl0_45
    | spl0_80 ),
    inference(split_clause,[status(thm)],[f996,f289,f367,f524]) ).

fof(f1091,plain,
    ( spl0_27
    | ~ spl0_45 ),
    inference(split_clause,[status(thm)],[f1047,f308,f367]) ).

fof(f1095,plain,
    ( ~ spl0_11
    | ~ spl0_59 ),
    inference(split_clause,[status(thm)],[f630,f256,f412]) ).

fof(f1096,plain,
    ( e2 != op(op(e1,e0),e3)
    | ~ spl0_19
    | spl0_81 ),
    inference(backward_demodulation,[status(thm)],[f283,f530]) ).

fof(f1097,plain,
    ( e2 != op(e3,e3)
    | ~ spl0_19
    | spl0_81 ),
    inference(forward_demodulation,[status(thm)],[f283,f1096]) ).

fof(f1098,plain,
    ( op(e3,e1) = e0
    | ~ spl0_19 ),
    inference(backward_demodulation,[status(thm)],[f283,f138]) ).

fof(f1099,plain,
    ( spl0_52
    | ~ spl0_19 ),
    inference(split_clause,[status(thm)],[f1098,f390,f282]) ).

fof(f1100,plain,
    ( ~ spl0_4
    | ~ spl0_52 ),
    inference(split_clause,[status(thm)],[f863,f234,f390]) ).

fof(f1102,plain,
    ( spl0_15
    | ~ spl0_60 ),
    inference(split_clause,[status(thm)],[f1080,f269,f416]) ).

fof(f1106,plain,
    ( ~ spl0_16
    | ~ spl0_48 ),
    inference(split_clause,[status(thm)],[f711,f273,f377]) ).

fof(f1113,plain,
    ( spl0_17
    | ~ spl0_5 ),
    inference(split_clause,[status(thm)],[f809,f276,f237]) ).

fof(f1115,plain,
    ( ~ spl0_54
    | ~ spl0_62 ),
    inference(split_clause,[status(thm)],[f655,f396,f422]) ).

fof(f1117,plain,
    ( ~ spl0_1
    | ~ spl0_12
    | spl0_79 ),
    inference(split_clause,[status(thm)],[f1001,f224,f260,f520]) ).

fof(f1120,plain,
    ( ~ spl0_1
    | ~ spl0_33 ),
    inference(split_clause,[status(thm)],[f958,f224,f328]) ).

fof(f1121,plain,
    ( ~ spl0_62
    | ~ spl0_19
    | spl0_81 ),
    inference(split_clause,[status(thm)],[f1097,f422,f282,f528]) ).

fof(f1124,plain,
    ( spl0_11
    | ~ spl0_44 ),
    inference(split_clause,[status(thm)],[f865,f256,f364]) ).

fof(f1125,plain,
    ( ~ spl0_32
    | ~ spl0_44 ),
    inference(split_clause,[status(thm)],[f869,f325,f364]) ).

fof(f1129,plain,
    ( ~ spl0_42
    | ~ spl0_54
    | spl0_84 ),
    inference(split_clause,[status(thm)],[f1049,f357,f396,f540]) ).

fof(f1137,plain,
    ( op(e3,e2) = e1
    | ~ spl0_30 ),
    inference(backward_demodulation,[status(thm)],[f985,f143]) ).

fof(f1140,plain,
    ( op(e2,e0) != e3
    | ~ spl0_30 ),
    inference(paramodulation,[status(thm)],[f985,f114]) ).

fof(f1147,plain,
    ( e0 != op(op(e2,e3),e1)
    | ~ spl0_45
    | spl0_74 ),
    inference(backward_demodulation,[status(thm)],[f368,f502]) ).

fof(f1148,plain,
    ( e0 != op(e1,e1)
    | ~ spl0_45
    | spl0_74 ),
    inference(forward_demodulation,[status(thm)],[f368,f1147]) ).

fof(f1151,plain,
    ( e0 != op(op(e3,e1),e2)
    | ~ spl0_54
    | spl0_70 ),
    inference(backward_demodulation,[status(thm)],[f397,f486]) ).

fof(f1152,plain,
    ( e0 != op(e2,e2)
    | ~ spl0_54
    | spl0_70 ),
    inference(forward_demodulation,[status(thm)],[f397,f1151]) ).

fof(f1157,plain,
    ( e0 != op(op(e1,e2),e3)
    | ~ spl0_27
    | spl0_71 ),
    inference(backward_demodulation,[status(thm)],[f309,f490]) ).

fof(f1163,plain,
    ( op(e3,e1) = op(e2,e3)
    | ~ spl0_45
    | ~ spl0_67 ),
    inference(forward_demodulation,[status(thm)],[f368,f473]) ).

fof(f1164,plain,
    ( e2 = op(e2,e3)
    | ~ spl0_54
    | ~ spl0_45
    | ~ spl0_67 ),
    inference(forward_demodulation,[status(thm)],[f397,f1163]) ).

fof(f1165,plain,
    ( e2 = e1
    | ~ spl0_54
    | ~ spl0_45
    | ~ spl0_67 ),
    inference(forward_demodulation,[status(thm)],[f368,f1164]) ).

fof(f1166,plain,
    ( $false
    | ~ spl0_54
    | ~ spl0_45
    | ~ spl0_67 ),
    inference(forward_subsumption_resolution,[status(thm)],[f1165,f129]) ).

fof(f1167,plain,
    ( ~ spl0_54
    | ~ spl0_45
    | ~ spl0_67 ),
    inference(contradiction_clause,[status(thm)],[f1166]) ).

fof(f1170,plain,
    ( ~ spl0_21
    | ~ spl0_25 ),
    inference(split_clause,[status(thm)],[f927,f289,f302]) ).

fof(f1175,plain,
    ( $false
    | ~ spl0_54
    | ~ spl0_50 ),
    inference(forward_subsumption_resolution,[status(thm)],[f384,f1051]) ).

fof(f1176,plain,
    ( ~ spl0_54
    | ~ spl0_50 ),
    inference(contradiction_clause,[status(thm)],[f1175]) ).

fof(f1177,plain,
    ( ~ spl0_14
    | ~ spl0_62 ),
    inference(split_clause,[status(thm)],[f659,f266,f422]) ).

fof(f1180,plain,
    ( ~ spl0_17
    | ~ spl0_33 ),
    inference(split_clause,[status(thm)],[f957,f276,f328]) ).

fof(f1184,plain,
    ( e1 != op(op(e3,e2),e0)
    | ~ spl0_56
    | spl0_78 ),
    inference(backward_demodulation,[status(thm)],[f404,f518]) ).

fof(f1185,plain,
    ( e1 != op(e0,e0)
    | ~ spl0_56
    | spl0_78 ),
    inference(forward_demodulation,[status(thm)],[f404,f1184]) ).

fof(f1186,plain,
    ( op(e0,e3) = e2
    | ~ spl0_56 ),
    inference(backward_demodulation,[status(thm)],[f404,f148]) ).

fof(f1199,plain,
    ( op(e1,e3) != e0
    | ~ spl0_44 ),
    inference(paramodulation,[status(thm)],[f365,f99]) ).

fof(f1202,plain,
    ( op(e0,op(e3,e0)) = e2
    | ~ spl0_50
    | ~ spl0_106 ),
    inference(backward_demodulation,[status(thm)],[f384,f627]) ).

fof(f1203,plain,
    ( op(e0,e2) = e2
    | ~ spl0_50
    | ~ spl0_106 ),
    inference(forward_demodulation,[status(thm)],[f384,f1202]) ).

fof(f1204,plain,
    ( $false
    | spl0_10
    | ~ spl0_50
    | ~ spl0_106 ),
    inference(forward_subsumption_resolution,[status(thm)],[f1203,f255]) ).

fof(f1205,plain,
    ( spl0_10
    | ~ spl0_50
    | ~ spl0_106 ),
    inference(contradiction_clause,[status(thm)],[f1204]) ).

fof(f1206,plain,
    ( e0 = e2
    | ~ spl0_56
    | ~ spl0_58 ),
    inference(forward_demodulation,[status(thm)],[f404,f410]) ).

fof(f1207,plain,
    ( $false
    | ~ spl0_56
    | ~ spl0_58 ),
    inference(forward_subsumption_resolution,[status(thm)],[f1206,f127]) ).

fof(f1208,plain,
    ( ~ spl0_56
    | ~ spl0_58 ),
    inference(contradiction_clause,[status(thm)],[f1207]) ).

fof(f1209,plain,
    ( ~ spl0_28
    | ~ spl0_44 ),
    inference(split_clause,[status(thm)],[f1199,f312,f364]) ).

fof(f1212,plain,
    ( op(e2,e3) = e0
    | ~ spl0_50 ),
    inference(backward_demodulation,[status(thm)],[f384,f146]) ).

fof(f1215,plain,
    ( e0 != op(e3,e3)
    | ~ spl0_27
    | spl0_71 ),
    inference(forward_demodulation,[status(thm)],[f309,f1157]) ).

fof(f1216,plain,
    ( ~ spl0_60
    | ~ spl0_27
    | spl0_71 ),
    inference(split_clause,[status(thm)],[f1215,f416,f308,f488]) ).

fof(f1228,plain,
    ( ~ spl0_35
    | ~ spl0_30 ),
    inference(split_clause,[status(thm)],[f1140,f334,f318]) ).

fof(f1232,plain,
    ( op(e3,e1) = e2
    | ~ spl0_27 ),
    inference(backward_demodulation,[status(thm)],[f309,f140]) ).

fof(f1235,plain,
    ( ~ spl0_1
    | ~ spl0_56
    | spl0_78 ),
    inference(split_clause,[status(thm)],[f1185,f224,f403,f516]) ).

fof(f1238,plain,
    ( op(e0,e0) != e2
    | ~ spl0_50 ),
    inference(paramodulation,[status(thm)],[f384,f80]) ).

fof(f1258,plain,
    ( e1 != op(op(e0,e2),e3)
    | ~ spl0_11
    | spl0_77 ),
    inference(backward_demodulation,[status(thm)],[f257,f514]) ).

fof(f1261,plain,
    ( op(e3,e0) = e2
    | ~ spl0_11 ),
    inference(backward_demodulation,[status(thm)],[f257,f136]) ).

fof(f1262,plain,
    ( spl0_50
    | ~ spl0_11 ),
    inference(split_clause,[status(thm)],[f1261,f383,f256]) ).

fof(f1280,plain,
    ( e2 != op(e1,op(e0,e3))
    | ~ spl0_13
    | spl0_85 ),
    inference(forward_demodulation,[status(thm)],[f264,f546]) ).

fof(f1281,plain,
    ( e2 != op(e1,e1)
    | ~ spl0_13
    | spl0_85 ),
    inference(forward_demodulation,[status(thm)],[f264,f1280]) ).

fof(f1282,plain,
    ( e2 != op(e1,op(e3,e0))
    | ~ spl0_49
    | spl0_82 ),
    inference(forward_demodulation,[status(thm)],[f381,f534]) ).

fof(f1283,plain,
    ( op(e3,e1) = op(e0,e3)
    | ~ spl0_13
    | ~ spl0_65 ),
    inference(forward_demodulation,[status(thm)],[f264,f465]) ).

fof(f1284,plain,
    ( op(e3,e1) = e1
    | ~ spl0_13
    | ~ spl0_65 ),
    inference(forward_demodulation,[status(thm)],[f264,f1283]) ).

fof(f1285,plain,
    ( $false
    | spl0_53
    | ~ spl0_13
    | ~ spl0_65 ),
    inference(forward_subsumption_resolution,[status(thm)],[f1284,f395]) ).

fof(f1286,plain,
    ( spl0_53
    | ~ spl0_13
    | ~ spl0_65 ),
    inference(contradiction_clause,[status(thm)],[f1285]) ).

fof(f1287,plain,
    ( ~ spl0_40
    | ~ spl0_54
    | spl0_70 ),
    inference(split_clause,[status(thm)],[f1152,f351,f396,f484]) ).

fof(f1288,plain,
    ( ~ spl0_20
    | ~ spl0_45
    | spl0_74 ),
    inference(split_clause,[status(thm)],[f1148,f286,f367,f500]) ).

fof(f1292,plain,
    ( ~ spl0_22
    | ~ spl0_13
    | spl0_85 ),
    inference(split_clause,[status(thm)],[f1281,f292,f263,f544]) ).

fof(f1293,plain,
    ( e2 != op(e1,e1)
    | ~ spl0_49
    | spl0_82 ),
    inference(forward_demodulation,[status(thm)],[f381,f1282]) ).

fof(f1294,plain,
    ( ~ spl0_22
    | ~ spl0_49
    | spl0_82 ),
    inference(split_clause,[status(thm)],[f1293,f292,f380,f532]) ).

fof(f1303,plain,
    ( e1 != op(e3,e3)
    | ~ spl0_11
    | spl0_77 ),
    inference(forward_demodulation,[status(thm)],[f257,f1258]) ).

fof(f1304,plain,
    ( ~ spl0_61
    | ~ spl0_11
    | spl0_77 ),
    inference(split_clause,[status(thm)],[f1303,f419,f256,f512]) ).

fof(f1307,plain,
    ( spl0_44
    | ~ spl0_50 ),
    inference(split_clause,[status(thm)],[f1212,f364,f383]) ).

fof(f1308,plain,
    ( ~ spl0_2
    | ~ spl0_50 ),
    inference(split_clause,[status(thm)],[f1238,f227,f383]) ).

fof(f1309,plain,
    ( ~ spl0_31
    | ~ spl0_47 ),
    inference(split_clause,[status(thm)],[f639,f321,f373]) ).

fof(f1351,plain,
    ( op(e2,op(e0,e2)) = e1
    | ~ spl0_9
    | ~ spl0_94 ),
    inference(backward_demodulation,[status(thm)],[f251,f580]) ).

fof(f1352,plain,
    ( op(e2,e1) = e1
    | ~ spl0_9
    | ~ spl0_94 ),
    inference(forward_demodulation,[status(thm)],[f251,f1351]) ).

fof(f1353,plain,
    ( $false
    | spl0_37
    | ~ spl0_9
    | ~ spl0_94 ),
    inference(forward_subsumption_resolution,[status(thm)],[f1352,f343]) ).

fof(f1354,plain,
    ( spl0_37
    | ~ spl0_9
    | ~ spl0_94 ),
    inference(contradiction_clause,[status(thm)],[f1353]) ).

fof(f1359,plain,
    ( op(e0,e3) = op(e2,e0)
    | ~ spl0_35
    | ~ spl0_105 ),
    inference(forward_demodulation,[status(thm)],[f335,f623]) ).

fof(f1360,plain,
    ( e2 = op(e2,e0)
    | ~ spl0_56
    | ~ spl0_35
    | ~ spl0_105 ),
    inference(forward_demodulation,[status(thm)],[f1186,f1359]) ).

fof(f1361,plain,
    ( $false
    | spl0_34
    | ~ spl0_56
    | ~ spl0_35
    | ~ spl0_105 ),
    inference(forward_subsumption_resolution,[status(thm)],[f1360,f333]) ).

fof(f1362,plain,
    ( spl0_34
    | ~ spl0_56
    | ~ spl0_35
    | ~ spl0_105 ),
    inference(contradiction_clause,[status(thm)],[f1361]) ).

fof(f1380,plain,
    ( op(e1,op(e3,e1)) = e2
    | ~ spl0_27
    | ~ spl0_102 ),
    inference(backward_demodulation,[status(thm)],[f1232,f611]) ).

fof(f1381,plain,
    ( op(e1,e2) = e2
    | ~ spl0_27
    | ~ spl0_102 ),
    inference(forward_demodulation,[status(thm)],[f1232,f1380]) ).

fof(f1382,plain,
    ( $false
    | spl0_26
    | ~ spl0_27
    | ~ spl0_102 ),
    inference(forward_subsumption_resolution,[status(thm)],[f1381,f307]) ).

fof(f1383,plain,
    ( spl0_26
    | ~ spl0_27
    | ~ spl0_102 ),
    inference(contradiction_clause,[status(thm)],[f1382]) ).

fof(f1432,plain,
    ( op(e1,op(e0,e1)) = e2
    | ~ spl0_6
    | ~ spl0_99 ),
    inference(backward_demodulation,[status(thm)],[f241,f599]) ).

fof(f1433,plain,
    ( op(e1,e2) = e2
    | ~ spl0_6
    | ~ spl0_99 ),
    inference(forward_demodulation,[status(thm)],[f241,f1432]) ).

fof(f1434,plain,
    ( $false
    | spl0_26
    | ~ spl0_6
    | ~ spl0_99 ),
    inference(forward_subsumption_resolution,[status(thm)],[f1433,f307]) ).

fof(f1435,plain,
    ( spl0_26
    | ~ spl0_6
    | ~ spl0_99 ),
    inference(contradiction_clause,[status(thm)],[f1434]) ).

fof(f1446,plain,
    ( op(e2,e1) = op(e3,e2)
    | ~ spl0_30
    | ~ spl0_97 ),
    inference(forward_demodulation,[status(thm)],[f1137,f592]) ).

fof(f1447,plain,
    ( op(e2,e1) = e1
    | ~ spl0_30
    | ~ spl0_97 ),
    inference(forward_demodulation,[status(thm)],[f1137,f1446]) ).

fof(f1448,plain,
    ( $false
    | spl0_37
    | ~ spl0_30
    | ~ spl0_97 ),
    inference(forward_subsumption_resolution,[status(thm)],[f1447,f343]) ).

fof(f1449,plain,
    ( spl0_37
    | ~ spl0_30
    | ~ spl0_97 ),
    inference(contradiction_clause,[status(thm)],[f1448]) ).

fof(f1450,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f233,f246,f259,f272,f285,f311,f324,f337,f363,f376,f389,f428,f429,f431,f432,f433,f434,f436,f438,f440,f441,f442,f443,f445,f449,f452,f453,f456,f459,f467,f475,f487,f491,f503,f511,f515,f519,f523,f527,f531,f535,f539,f547,f563,f567,f582,f594,f601,f613,f617,f621,f625,f629,f644,f667,f670,f705,f714,f723,f731,f734,f778,f780,f784,f785,f793,f803,f824,f826,f827,f830,f835,f840,f855,f858,f867,f899,f903,f908,f914,f920,f923,f926,f930,f932,f934,f937,f939,f951,f955,f956,f959,f960,f962,f964,f968,f969,f970,f971,f1013,f1019,f1021,f1022,f1023,f1029,f1036,f1037,f1040,f1042,f1043,f1044,f1045,f1046,f1055,f1056,f1057,f1059,f1060,f1061,f1064,f1065,f1067,f1068,f1069,f1082,f1083,f1084,f1087,f1088,f1089,f1090,f1091,f1095,f1099,f1100,f1102,f1106,f1113,f1115,f1117,f1120,f1121,f1124,f1125,f1129,f1167,f1170,f1176,f1177,f1180,f1205,f1208,f1209,f1216,f1228,f1235,f1262,f1286,f1287,f1288,f1292,f1294,f1304,f1307,f1308,f1309,f1354,f1362,f1383,f1435,f1449]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.07  % Problem  : ALG130+1 : TPTP v8.1.2. Released v2.7.0.
% 0.02/0.08  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.07/0.26  % Computer : n029.cluster.edu
% 0.07/0.26  % Model    : x86_64 x86_64
% 0.07/0.26  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.26  % Memory   : 8042.1875MB
% 0.07/0.26  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.07/0.26  % CPULimit : 300
% 0.07/0.26  % WCLimit  : 300
% 0.07/0.26  % DateTime : Mon Apr 29 23:49:04 EDT 2024
% 0.07/0.26  % CPUTime  : 
% 0.07/0.27  % Drodi V3.6.0
% 0.11/0.30  % Refutation found
% 0.11/0.30  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.11/0.30  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.11/0.31  % Elapsed time: 0.044336 seconds
% 0.11/0.31  % CPU time: 0.290628 seconds
% 0.11/0.31  % Total memory used: 18.318 MB
% 0.11/0.31  % Net memory used: 17.797 MB
%------------------------------------------------------------------------------