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Drodi---4.1.1.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : Drodi---4.1.1
% Problem  : ALG136+1 : TPTP v9.3.1. Released v2.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p

% Computer : n014.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Sep 24 11:48:34 AM UTC 2026

% Result   : Unsatisfiable 0.08s 0.43s
% Output   : CNFRefutation 0.08s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   99
% Syntax   : Number of formulae    :  742 (  54 unt;  82 def)
%            Number of atoms       : 2243 (1086 equ)
%            Maximal formula atoms :  128 (   3 avg)
%            Number of connectives : 2794 (1293   ~;1234   |; 185   &)
%                                         (  82 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   66 (   4 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   84 (  82 usr;  83 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(e3,e3) = e3
      | op(e3,e3) = e2
      | op(e3,e3) = e1
      | op(e3,e3) = e0 )
    & ( op(e3,e2) = e3
      | op(e3,e2) = e2
      | op(e3,e2) = e1
      | op(e3,e2) = e0 )
    & ( op(e3,e1) = e3
      | op(e3,e1) = e2
      | op(e3,e1) = e1
      | op(e3,e1) = e0 )
    & ( op(e3,e0) = e3
      | op(e3,e0) = e2
      | op(e3,e0) = e1
      | op(e3,e0) = e0 )
    & ( op(e2,e3) = e3
      | op(e2,e3) = e2
      | op(e2,e3) = e1
      | op(e2,e3) = e0 )
    & ( op(e2,e2) = e3
      | op(e2,e2) = e2
      | op(e2,e2) = e1
      | op(e2,e2) = e0 )
    & ( op(e2,e1) = e3
      | op(e2,e1) = e2
      | op(e2,e1) = e1
      | op(e2,e1) = e0 )
    & ( op(e2,e0) = e3
      | op(e2,e0) = e2
      | op(e2,e0) = e1
      | op(e2,e0) = e0 )
    & ( op(e1,e3) = e3
      | op(e1,e3) = e2
      | op(e1,e3) = e1
      | op(e1,e3) = e0 )
    & ( op(e1,e2) = e3
      | op(e1,e2) = e2
      | op(e1,e2) = e1
      | op(e1,e2) = e0 )
    & ( op(e1,e1) = e3
      | op(e1,e1) = e2
      | op(e1,e1) = e1
      | op(e1,e1) = e0 )
    & ( op(e1,e0) = e3
      | op(e1,e0) = e2
      | op(e1,e0) = e1
      | op(e1,e0) = e0 )
    & ( op(e0,e3) = e3
      | op(e0,e3) = e2
      | op(e0,e3) = e1
      | op(e0,e3) = e0 )
    & ( op(e0,e2) = e3
      | op(e0,e2) = e2
      | op(e0,e2) = e1
      | op(e0,e2) = e0 )
    & ( op(e0,e1) = e3
      | op(e0,e1) = e2
      | op(e0,e1) = e1
      | op(e0,e1) = e0 )
    & ( op(e0,e0) = e3
      | op(e0,e0) = e2
      | op(e0,e0) = e1
      | op(e0,e0) = e0 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

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

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

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

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

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

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

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

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

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

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

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

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

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

fof(f22,axiom,
    ~ ( e0 = op(op(e1,op(e1,e1)),op(e1,e1))
      & e3 = op(e1,e1)
      & e2 = op(e1,op(e1,e1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

fof(f47,plain,
    ( op(e3,e0) = e0
    | op(e2,e0) = e0
    | op(e1,e0) = e0
    | op(e0,e0) = e0 ),
    inference(cnf_transformation,[status(thm)],[f2]) ).

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

fof(f77,plain,
    ( op(e3,e3) = e3
    | op(e2,e3) = e3
    | op(e1,e3) = e3
    | op(e0,e3) = e3 ),
    inference(cnf_transformation,[status(thm)],[f2]) ).

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

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

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

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

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

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

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

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

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

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

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

fof(f90,plain,
    op(e0,e2) != op(e1,e2),
    inference(cnf_transformation,[status(thm)],[f3]) ).

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

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

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

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

fof(f96,plain,
    op(e0,e3) != op(e1,e3),
    inference(cnf_transformation,[status(thm)],[f3]) ).

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

fof(f98,plain,
    op(e0,e3) != op(e3,e3),
    inference(cnf_transformation,[status(thm)],[f3]) ).

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

fof(f121,plain,
    op(e3,e0) != op(e3,e2),
    inference(cnf_transformation,[status(thm)],[f3]) ).

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

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

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

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

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

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

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

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

fof(f132,plain,
    ( op(e0,e0) != e0
    | op(e0,e0) != e0 ),
    inference(cnf_transformation,[status(thm)],[f5]) ).

fof(f136,plain,
    ( op(e0,e0) != e1
    | op(e0,e1) != e0 ),
    inference(cnf_transformation,[status(thm)],[f5]) ).

fof(f138,plain,
    ( op(e2,e2) != e1
    | op(e0,e1) != e0 ),
    inference(cnf_transformation,[status(thm)],[f5]) ).

fof(f139,plain,
    ( op(e3,e3) != e1
    | op(e0,e1) != e0 ),
    inference(cnf_transformation,[status(thm)],[f5]) ).

fof(f140,plain,
    ( op(e0,e0) != e2
    | op(e0,e2) != e0 ),
    inference(cnf_transformation,[status(thm)],[f5]) ).

fof(f141,plain,
    ( op(e1,e1) != e2
    | op(e0,e2) != e0 ),
    inference(cnf_transformation,[status(thm)],[f5]) ).

fof(f143,plain,
    ( op(e3,e3) != e2
    | op(e0,e2) != e0 ),
    inference(cnf_transformation,[status(thm)],[f5]) ).

fof(f144,plain,
    ( op(e0,e0) != e3
    | op(e0,e3) != e0 ),
    inference(cnf_transformation,[status(thm)],[f5]) ).

fof(f145,plain,
    ( op(e1,e1) != e3
    | op(e0,e3) != e0 ),
    inference(cnf_transformation,[status(thm)],[f5]) ).

fof(f146,plain,
    ( op(e2,e2) != e3
    | op(e0,e3) != e0 ),
    inference(cnf_transformation,[status(thm)],[f5]) ).

fof(f149,plain,
    ( op(e1,e1) != e0
    | op(e1,e0) != e1 ),
    inference(cnf_transformation,[status(thm)],[f5]) ).

fof(f150,plain,
    ( op(e2,e2) != e0
    | op(e1,e0) != e1 ),
    inference(cnf_transformation,[status(thm)],[f5]) ).

fof(f151,plain,
    ( op(e3,e3) != e0
    | op(e1,e0) != e1 ),
    inference(cnf_transformation,[status(thm)],[f5]) ).

fof(f153,plain,
    ( op(e1,e1) != e1
    | op(e1,e1) != e1 ),
    inference(cnf_transformation,[status(thm)],[f5]) ).

fof(f156,plain,
    ( op(e0,e0) != e2
    | op(e1,e2) != e1 ),
    inference(cnf_transformation,[status(thm)],[f5]) ).

fof(f157,plain,
    ( op(e1,e1) != e2
    | op(e1,e2) != e1 ),
    inference(cnf_transformation,[status(thm)],[f5]) ).

fof(f159,plain,
    ( op(e3,e3) != e2
    | op(e1,e2) != e1 ),
    inference(cnf_transformation,[status(thm)],[f5]) ).

fof(f160,plain,
    ( op(e0,e0) != e3
    | op(e1,e3) != e1 ),
    inference(cnf_transformation,[status(thm)],[f5]) ).

fof(f161,plain,
    ( op(e1,e1) != e3
    | op(e1,e3) != e1 ),
    inference(cnf_transformation,[status(thm)],[f5]) ).

fof(f162,plain,
    ( op(e2,e2) != e3
    | op(e1,e3) != e1 ),
    inference(cnf_transformation,[status(thm)],[f5]) ).

fof(f165,plain,
    ( op(e1,e1) != e0
    | op(e2,e0) != e2 ),
    inference(cnf_transformation,[status(thm)],[f5]) ).

fof(f166,plain,
    ( op(e2,e2) != e0
    | op(e2,e0) != e2 ),
    inference(cnf_transformation,[status(thm)],[f5]) ).

fof(f167,plain,
    ( op(e3,e3) != e0
    | op(e2,e0) != e2 ),
    inference(cnf_transformation,[status(thm)],[f5]) ).

fof(f168,plain,
    ( op(e0,e0) != e1
    | op(e2,e1) != e2 ),
    inference(cnf_transformation,[status(thm)],[f5]) ).

fof(f170,plain,
    ( op(e2,e2) != e1
    | op(e2,e1) != e2 ),
    inference(cnf_transformation,[status(thm)],[f5]) ).

fof(f171,plain,
    ( op(e3,e3) != e1
    | op(e2,e1) != e2 ),
    inference(cnf_transformation,[status(thm)],[f5]) ).

fof(f174,plain,
    ( op(e2,e2) != e2
    | op(e2,e2) != e2 ),
    inference(cnf_transformation,[status(thm)],[f5]) ).

fof(f176,plain,
    ( op(e0,e0) != e3
    | op(e2,e3) != e2 ),
    inference(cnf_transformation,[status(thm)],[f5]) ).

fof(f177,plain,
    ( op(e1,e1) != e3
    | op(e2,e3) != e2 ),
    inference(cnf_transformation,[status(thm)],[f5]) ).

fof(f178,plain,
    ( op(e2,e2) != e3
    | op(e2,e3) != e2 ),
    inference(cnf_transformation,[status(thm)],[f5]) ).

fof(f181,plain,
    ( op(e1,e1) != e0
    | op(e3,e0) != e3 ),
    inference(cnf_transformation,[status(thm)],[f5]) ).

fof(f182,plain,
    ( op(e2,e2) != e0
    | op(e3,e0) != e3 ),
    inference(cnf_transformation,[status(thm)],[f5]) ).

fof(f183,plain,
    ( op(e3,e3) != e0
    | op(e3,e0) != e3 ),
    inference(cnf_transformation,[status(thm)],[f5]) ).

fof(f184,plain,
    ( op(e0,e0) != e1
    | op(e3,e1) != e3 ),
    inference(cnf_transformation,[status(thm)],[f5]) ).

fof(f186,plain,
    ( op(e2,e2) != e1
    | op(e3,e1) != e3 ),
    inference(cnf_transformation,[status(thm)],[f5]) ).

fof(f187,plain,
    ( op(e3,e3) != e1
    | op(e3,e1) != e3 ),
    inference(cnf_transformation,[status(thm)],[f5]) ).

fof(f188,plain,
    ( op(e0,e0) != e2
    | op(e3,e2) != e3 ),
    inference(cnf_transformation,[status(thm)],[f5]) ).

fof(f189,plain,
    ( op(e1,e1) != e2
    | op(e3,e2) != e3 ),
    inference(cnf_transformation,[status(thm)],[f5]) ).

fof(f191,plain,
    ( op(e3,e3) != e2
    | op(e3,e2) != e3 ),
    inference(cnf_transformation,[status(thm)],[f5]) ).

fof(f195,plain,
    ( op(e3,e3) != e3
    | op(e3,e3) != e3 ),
    inference(cnf_transformation,[status(thm)],[f5]) ).

fof(f198,plain,
    ( e3 != op(op(e2,op(e2,e2)),op(e2,e2))
    | e1 != op(e2,e2)
    | e0 != op(e2,op(e2,e2)) ),
    inference(pre_NNF_transformation,[status(thm)],[f7]) ).

fof(f199,plain,
    ( e3 != op(op(e2,op(e2,e2)),op(e2,e2))
    | e1 != op(e2,e2)
    | e0 != op(e2,op(e2,e2)) ),
    inference(cnf_transformation,[status(thm)],[f198]) ).

fof(f200,plain,
    ( e1 != op(op(e3,op(e3,e3)),op(e3,e3))
    | e2 != op(e3,e3)
    | e0 != op(e3,op(e3,e3)) ),
    inference(pre_NNF_transformation,[status(thm)],[f8]) ).

fof(f201,plain,
    ( e1 != op(op(e3,op(e3,e3)),op(e3,e3))
    | e2 != op(e3,e3)
    | e0 != op(e3,op(e3,e3)) ),
    inference(cnf_transformation,[status(thm)],[f200]) ).

fof(f204,plain,
    ( e1 != op(op(e2,op(e2,e2)),op(e2,e2))
    | e3 != op(e2,e2)
    | e0 != op(e2,op(e2,e2)) ),
    inference(pre_NNF_transformation,[status(thm)],[f10]) ).

fof(f205,plain,
    ( e1 != op(op(e2,op(e2,e2)),op(e2,e2))
    | e3 != op(e2,e2)
    | e0 != op(e2,op(e2,e2)) ),
    inference(cnf_transformation,[status(thm)],[f204]) ).

fof(f210,plain,
    ( e3 != op(op(e2,op(e2,e2)),op(e2,e2))
    | e0 != op(e2,e2)
    | e1 != op(e2,op(e2,e2)) ),
    inference(pre_NNF_transformation,[status(thm)],[f13]) ).

fof(f211,plain,
    ( e3 != op(op(e2,op(e2,e2)),op(e2,e2))
    | e0 != op(e2,e2)
    | e1 != op(e2,op(e2,e2)) ),
    inference(cnf_transformation,[status(thm)],[f210]) ).

fof(f214,plain,
    ( e3 != op(op(e0,op(e0,e0)),op(e0,e0))
    | e2 != op(e0,e0)
    | e1 != op(e0,op(e0,e0)) ),
    inference(pre_NNF_transformation,[status(thm)],[f15]) ).

fof(f215,plain,
    ( e3 != op(op(e0,op(e0,e0)),op(e0,e0))
    | e2 != op(e0,e0)
    | e1 != op(e0,op(e0,e0)) ),
    inference(cnf_transformation,[status(thm)],[f214]) ).

fof(f220,plain,
    ( e1 != op(op(e3,op(e3,e3)),op(e3,e3))
    | e0 != op(e3,e3)
    | e2 != op(e3,op(e3,e3)) ),
    inference(pre_NNF_transformation,[status(thm)],[f18]) ).

fof(f221,plain,
    ( e1 != op(op(e3,op(e3,e3)),op(e3,e3))
    | e0 != op(e3,e3)
    | e2 != op(e3,op(e3,e3)) ),
    inference(cnf_transformation,[status(thm)],[f220]) ).

fof(f222,plain,
    ( e3 != op(op(e1,op(e1,e1)),op(e1,e1))
    | e0 != op(e1,e1)
    | e2 != op(e1,op(e1,e1)) ),
    inference(pre_NNF_transformation,[status(thm)],[f19]) ).

fof(f223,plain,
    ( e3 != op(op(e1,op(e1,e1)),op(e1,e1))
    | e0 != op(e1,e1)
    | e2 != op(e1,op(e1,e1)) ),
    inference(cnf_transformation,[status(thm)],[f222]) ).

fof(f224,plain,
    ( e0 != op(op(e3,op(e3,e3)),op(e3,e3))
    | e1 != op(e3,e3)
    | e2 != op(e3,op(e3,e3)) ),
    inference(pre_NNF_transformation,[status(thm)],[f20]) ).

fof(f225,plain,
    ( e0 != op(op(e3,op(e3,e3)),op(e3,e3))
    | e1 != op(e3,e3)
    | e2 != op(e3,op(e3,e3)) ),
    inference(cnf_transformation,[status(thm)],[f224]) ).

fof(f226,plain,
    ( e3 != op(op(e0,op(e0,e0)),op(e0,e0))
    | e1 != op(e0,e0)
    | e2 != op(e0,op(e0,e0)) ),
    inference(pre_NNF_transformation,[status(thm)],[f21]) ).

fof(f227,plain,
    ( e3 != op(op(e0,op(e0,e0)),op(e0,e0))
    | e1 != op(e0,e0)
    | e2 != op(e0,op(e0,e0)) ),
    inference(cnf_transformation,[status(thm)],[f226]) ).

fof(f228,plain,
    ( e0 != op(op(e1,op(e1,e1)),op(e1,e1))
    | e3 != op(e1,e1)
    | e2 != op(e1,op(e1,e1)) ),
    inference(pre_NNF_transformation,[status(thm)],[f22]) ).

fof(f229,plain,
    ( e0 != op(op(e1,op(e1,e1)),op(e1,e1))
    | e3 != op(e1,e1)
    | e2 != op(e1,op(e1,e1)) ),
    inference(cnf_transformation,[status(thm)],[f228]) ).

fof(f230,plain,
    ( e1 != op(op(e0,op(e0,e0)),op(e0,e0))
    | e3 != op(e0,e0)
    | e2 != op(e0,op(e0,e0)) ),
    inference(pre_NNF_transformation,[status(thm)],[f23]) ).

fof(f231,plain,
    ( e1 != op(op(e0,op(e0,e0)),op(e0,e0))
    | e3 != op(e0,e0)
    | e2 != op(e0,op(e0,e0)) ),
    inference(cnf_transformation,[status(thm)],[f230]) ).

fof(f236,plain,
    ( e0 != op(op(e2,op(e2,e2)),op(e2,e2))
    | e1 != op(e2,e2)
    | e3 != op(e2,op(e2,e2)) ),
    inference(pre_NNF_transformation,[status(thm)],[f26]) ).

fof(f237,plain,
    ( e0 != op(op(e2,op(e2,e2)),op(e2,e2))
    | e1 != op(e2,e2)
    | e3 != op(e2,op(e2,e2)) ),
    inference(cnf_transformation,[status(thm)],[f236]) ).

fof(f244,definition,
    ( sQ0_spl
  <=> op(e0,e0) = e0 ),
    introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).

fof(f247,definition,
    ( sQ1_spl
  <=> op(e0,e0) = e1 ),
    introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).

fof(f248,plain,
    ( ~ sQ1_spl
    | op(e0,e0) = e1 ),
    inference(component_clause,[status(thm)],[f247]) ).

fof(f250,definition,
    ( sQ2_spl
  <=> op(e0,e0) = e2 ),
    introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).

fof(f251,plain,
    ( ~ sQ2_spl
    | op(e0,e0) = e2 ),
    inference(component_clause,[status(thm)],[f250]) ).

fof(f253,definition,
    ( sQ3_spl
  <=> op(e0,e0) = e3 ),
    introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).

fof(f254,plain,
    ( ~ sQ3_spl
    | op(e0,e0) = e3 ),
    inference(component_clause,[status(thm)],[f253]) ).

fof(f256,plain,
    ( sQ3_spl
    | sQ2_spl
    | sQ1_spl
    | sQ0_spl ),
    inference(split_clause,[status(thm)],[f30,f244,f247,f250,f253]) ).

fof(f257,definition,
    ( sQ4_spl
  <=> op(e0,e1) = e0 ),
    introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).

fof(f258,plain,
    ( ~ sQ4_spl
    | op(e0,e1) = e0 ),
    inference(component_clause,[status(thm)],[f257]) ).

fof(f260,definition,
    ( sQ5_spl
  <=> op(e0,e1) = e1 ),
    introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).

fof(f261,plain,
    ( ~ sQ5_spl
    | op(e0,e1) = e1 ),
    inference(component_clause,[status(thm)],[f260]) ).

fof(f263,definition,
    ( sQ6_spl
  <=> op(e0,e1) = e2 ),
    introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).

fof(f264,plain,
    ( ~ sQ6_spl
    | op(e0,e1) = e2 ),
    inference(component_clause,[status(thm)],[f263]) ).

fof(f266,definition,
    ( sQ7_spl
  <=> op(e0,e1) = e3 ),
    introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).

fof(f267,plain,
    ( ~ sQ7_spl
    | op(e0,e1) = e3 ),
    inference(component_clause,[status(thm)],[f266]) ).

fof(f269,plain,
    ( sQ7_spl
    | sQ6_spl
    | sQ5_spl
    | sQ4_spl ),
    inference(split_clause,[status(thm)],[f31,f257,f260,f263,f266]) ).

fof(f270,definition,
    ( sQ8_spl
  <=> op(e0,e2) = e0 ),
    introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).

fof(f271,plain,
    ( ~ sQ8_spl
    | op(e0,e2) = e0 ),
    inference(component_clause,[status(thm)],[f270]) ).

fof(f273,definition,
    ( sQ9_spl
  <=> op(e0,e2) = e1 ),
    introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).

fof(f274,plain,
    ( ~ sQ9_spl
    | op(e0,e2) = e1 ),
    inference(component_clause,[status(thm)],[f273]) ).

fof(f276,definition,
    ( sQ10_spl
  <=> op(e0,e2) = e2 ),
    introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).

fof(f277,plain,
    ( ~ sQ10_spl
    | op(e0,e2) = e2 ),
    inference(component_clause,[status(thm)],[f276]) ).

fof(f279,definition,
    ( sQ11_spl
  <=> op(e0,e2) = e3 ),
    introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).

fof(f280,plain,
    ( ~ sQ11_spl
    | op(e0,e2) = e3 ),
    inference(component_clause,[status(thm)],[f279]) ).

fof(f282,plain,
    ( sQ11_spl
    | sQ10_spl
    | sQ9_spl
    | sQ8_spl ),
    inference(split_clause,[status(thm)],[f32,f270,f273,f276,f279]) ).

fof(f283,definition,
    ( sQ12_spl
  <=> op(e0,e3) = e0 ),
    introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).

fof(f286,definition,
    ( sQ13_spl
  <=> op(e0,e3) = e1 ),
    introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).

fof(f287,plain,
    ( ~ sQ13_spl
    | op(e0,e3) = e1 ),
    inference(component_clause,[status(thm)],[f286]) ).

fof(f289,definition,
    ( sQ14_spl
  <=> op(e0,e3) = e2 ),
    introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).

fof(f290,plain,
    ( ~ sQ14_spl
    | op(e0,e3) = e2 ),
    inference(component_clause,[status(thm)],[f289]) ).

fof(f292,definition,
    ( sQ15_spl
  <=> op(e0,e3) = e3 ),
    introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).

fof(f293,plain,
    ( ~ sQ15_spl
    | op(e0,e3) = e3 ),
    inference(component_clause,[status(thm)],[f292]) ).

fof(f295,plain,
    ( sQ15_spl
    | sQ14_spl
    | sQ13_spl
    | sQ12_spl ),
    inference(split_clause,[status(thm)],[f33,f283,f286,f289,f292]) ).

fof(f296,definition,
    ( sQ16_spl
  <=> op(e1,e0) = e0 ),
    introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).

fof(f297,plain,
    ( ~ sQ16_spl
    | op(e1,e0) = e0 ),
    inference(component_clause,[status(thm)],[f296]) ).

fof(f299,definition,
    ( sQ17_spl
  <=> op(e1,e0) = e1 ),
    introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).

fof(f300,plain,
    ( ~ sQ17_spl
    | op(e1,e0) = e1 ),
    inference(component_clause,[status(thm)],[f299]) ).

fof(f302,definition,
    ( sQ18_spl
  <=> op(e1,e0) = e2 ),
    introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).

fof(f303,plain,
    ( ~ sQ18_spl
    | op(e1,e0) = e2 ),
    inference(component_clause,[status(thm)],[f302]) ).

fof(f305,definition,
    ( sQ19_spl
  <=> op(e1,e0) = e3 ),
    introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).

fof(f306,plain,
    ( ~ sQ19_spl
    | op(e1,e0) = e3 ),
    inference(component_clause,[status(thm)],[f305]) ).

fof(f308,plain,
    ( sQ19_spl
    | sQ18_spl
    | sQ17_spl
    | sQ16_spl ),
    inference(split_clause,[status(thm)],[f34,f296,f299,f302,f305]) ).

fof(f309,definition,
    ( sQ20_spl
  <=> op(e1,e1) = e0 ),
    introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition]) ).

fof(f310,plain,
    ( ~ sQ20_spl
    | op(e1,e1) = e0 ),
    inference(component_clause,[status(thm)],[f309]) ).

fof(f312,definition,
    ( sQ21_spl
  <=> op(e1,e1) = e1 ),
    introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition]) ).

fof(f315,definition,
    ( sQ22_spl
  <=> op(e1,e1) = e2 ),
    introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition]) ).

fof(f318,definition,
    ( sQ23_spl
  <=> op(e1,e1) = e3 ),
    introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition]) ).

fof(f319,plain,
    ( ~ sQ23_spl
    | op(e1,e1) = e3 ),
    inference(component_clause,[status(thm)],[f318]) ).

fof(f321,plain,
    ( sQ23_spl
    | sQ22_spl
    | sQ21_spl
    | sQ20_spl ),
    inference(split_clause,[status(thm)],[f35,f309,f312,f315,f318]) ).

fof(f322,definition,
    ( sQ24_spl
  <=> op(e1,e2) = e0 ),
    introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition]) ).

fof(f323,plain,
    ( ~ sQ24_spl
    | op(e1,e2) = e0 ),
    inference(component_clause,[status(thm)],[f322]) ).

fof(f325,definition,
    ( sQ25_spl
  <=> op(e1,e2) = e1 ),
    introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition]) ).

fof(f326,plain,
    ( ~ sQ25_spl
    | op(e1,e2) = e1 ),
    inference(component_clause,[status(thm)],[f325]) ).

fof(f328,definition,
    ( sQ26_spl
  <=> op(e1,e2) = e2 ),
    introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition]) ).

fof(f329,plain,
    ( ~ sQ26_spl
    | op(e1,e2) = e2 ),
    inference(component_clause,[status(thm)],[f328]) ).

fof(f331,definition,
    ( sQ27_spl
  <=> op(e1,e2) = e3 ),
    introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition]) ).

fof(f332,plain,
    ( ~ sQ27_spl
    | op(e1,e2) = e3 ),
    inference(component_clause,[status(thm)],[f331]) ).

fof(f334,plain,
    ( sQ27_spl
    | sQ26_spl
    | sQ25_spl
    | sQ24_spl ),
    inference(split_clause,[status(thm)],[f36,f322,f325,f328,f331]) ).

fof(f335,definition,
    ( sQ28_spl
  <=> op(e1,e3) = e0 ),
    introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition]) ).

fof(f336,plain,
    ( ~ sQ28_spl
    | op(e1,e3) = e0 ),
    inference(component_clause,[status(thm)],[f335]) ).

fof(f338,definition,
    ( sQ29_spl
  <=> op(e1,e3) = e1 ),
    introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition]) ).

fof(f339,plain,
    ( ~ sQ29_spl
    | op(e1,e3) = e1 ),
    inference(component_clause,[status(thm)],[f338]) ).

fof(f341,definition,
    ( sQ30_spl
  <=> op(e1,e3) = e2 ),
    introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition]) ).

fof(f342,plain,
    ( ~ sQ30_spl
    | op(e1,e3) = e2 ),
    inference(component_clause,[status(thm)],[f341]) ).

fof(f344,definition,
    ( sQ31_spl
  <=> op(e1,e3) = e3 ),
    introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition]) ).

fof(f345,plain,
    ( ~ sQ31_spl
    | op(e1,e3) = e3 ),
    inference(component_clause,[status(thm)],[f344]) ).

fof(f347,plain,
    ( sQ31_spl
    | sQ30_spl
    | sQ29_spl
    | sQ28_spl ),
    inference(split_clause,[status(thm)],[f37,f335,f338,f341,f344]) ).

fof(f348,definition,
    ( sQ32_spl
  <=> op(e2,e0) = e0 ),
    introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition]) ).

fof(f349,plain,
    ( ~ sQ32_spl
    | op(e2,e0) = e0 ),
    inference(component_clause,[status(thm)],[f348]) ).

fof(f351,definition,
    ( sQ33_spl
  <=> op(e2,e0) = e1 ),
    introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition]) ).

fof(f352,plain,
    ( ~ sQ33_spl
    | op(e2,e0) = e1 ),
    inference(component_clause,[status(thm)],[f351]) ).

fof(f354,definition,
    ( sQ34_spl
  <=> op(e2,e0) = e2 ),
    introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition]) ).

fof(f355,plain,
    ( ~ sQ34_spl
    | op(e2,e0) = e2 ),
    inference(component_clause,[status(thm)],[f354]) ).

fof(f357,definition,
    ( sQ35_spl
  <=> op(e2,e0) = e3 ),
    introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition]) ).

fof(f358,plain,
    ( ~ sQ35_spl
    | op(e2,e0) = e3 ),
    inference(component_clause,[status(thm)],[f357]) ).

fof(f360,plain,
    ( sQ35_spl
    | sQ34_spl
    | sQ33_spl
    | sQ32_spl ),
    inference(split_clause,[status(thm)],[f38,f348,f351,f354,f357]) ).

fof(f361,definition,
    ( sQ36_spl
  <=> op(e2,e1) = e0 ),
    introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition]) ).

fof(f362,plain,
    ( ~ sQ36_spl
    | op(e2,e1) = e0 ),
    inference(component_clause,[status(thm)],[f361]) ).

fof(f364,definition,
    ( sQ37_spl
  <=> op(e2,e1) = e1 ),
    introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition]) ).

fof(f365,plain,
    ( ~ sQ37_spl
    | op(e2,e1) = e1 ),
    inference(component_clause,[status(thm)],[f364]) ).

fof(f367,definition,
    ( sQ38_spl
  <=> op(e2,e1) = e2 ),
    introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition]) ).

fof(f368,plain,
    ( ~ sQ38_spl
    | op(e2,e1) = e2 ),
    inference(component_clause,[status(thm)],[f367]) ).

fof(f370,definition,
    ( sQ39_spl
  <=> op(e2,e1) = e3 ),
    introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition]) ).

fof(f371,plain,
    ( ~ sQ39_spl
    | op(e2,e1) = e3 ),
    inference(component_clause,[status(thm)],[f370]) ).

fof(f373,plain,
    ( sQ39_spl
    | sQ38_spl
    | sQ37_spl
    | sQ36_spl ),
    inference(split_clause,[status(thm)],[f39,f361,f364,f367,f370]) ).

fof(f374,definition,
    ( sQ40_spl
  <=> op(e2,e2) = e0 ),
    introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition]) ).

fof(f375,plain,
    ( ~ sQ40_spl
    | op(e2,e2) = e0 ),
    inference(component_clause,[status(thm)],[f374]) ).

fof(f377,definition,
    ( sQ41_spl
  <=> op(e2,e2) = e1 ),
    introduced(definition,[new_symbols(definition,[sQ41_spl])],[split_symbol_definition]) ).

fof(f378,plain,
    ( ~ sQ41_spl
    | op(e2,e2) = e1 ),
    inference(component_clause,[status(thm)],[f377]) ).

fof(f380,definition,
    ( sQ42_spl
  <=> op(e2,e2) = e2 ),
    introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition]) ).

fof(f383,definition,
    ( sQ43_spl
  <=> op(e2,e2) = e3 ),
    introduced(definition,[new_symbols(definition,[sQ43_spl])],[split_symbol_definition]) ).

fof(f384,plain,
    ( ~ sQ43_spl
    | op(e2,e2) = e3 ),
    inference(component_clause,[status(thm)],[f383]) ).

fof(f386,plain,
    ( sQ43_spl
    | sQ42_spl
    | sQ41_spl
    | sQ40_spl ),
    inference(split_clause,[status(thm)],[f40,f374,f377,f380,f383]) ).

fof(f387,definition,
    ( sQ44_spl
  <=> op(e2,e3) = e0 ),
    introduced(definition,[new_symbols(definition,[sQ44_spl])],[split_symbol_definition]) ).

fof(f388,plain,
    ( ~ sQ44_spl
    | op(e2,e3) = e0 ),
    inference(component_clause,[status(thm)],[f387]) ).

fof(f390,definition,
    ( sQ45_spl
  <=> op(e2,e3) = e1 ),
    introduced(definition,[new_symbols(definition,[sQ45_spl])],[split_symbol_definition]) ).

fof(f393,definition,
    ( sQ46_spl
  <=> op(e2,e3) = e2 ),
    introduced(definition,[new_symbols(definition,[sQ46_spl])],[split_symbol_definition]) ).

fof(f396,definition,
    ( sQ47_spl
  <=> op(e2,e3) = e3 ),
    introduced(definition,[new_symbols(definition,[sQ47_spl])],[split_symbol_definition]) ).

fof(f399,plain,
    ( sQ47_spl
    | sQ46_spl
    | sQ45_spl
    | sQ44_spl ),
    inference(split_clause,[status(thm)],[f41,f387,f390,f393,f396]) ).

fof(f400,definition,
    ( sQ48_spl
  <=> op(e3,e0) = e0 ),
    introduced(definition,[new_symbols(definition,[sQ48_spl])],[split_symbol_definition]) ).

fof(f401,plain,
    ( ~ sQ48_spl
    | op(e3,e0) = e0 ),
    inference(component_clause,[status(thm)],[f400]) ).

fof(f403,definition,
    ( sQ49_spl
  <=> op(e3,e0) = e1 ),
    introduced(definition,[new_symbols(definition,[sQ49_spl])],[split_symbol_definition]) ).

fof(f404,plain,
    ( ~ sQ49_spl
    | op(e3,e0) = e1 ),
    inference(component_clause,[status(thm)],[f403]) ).

fof(f406,definition,
    ( sQ50_spl
  <=> op(e3,e0) = e2 ),
    introduced(definition,[new_symbols(definition,[sQ50_spl])],[split_symbol_definition]) ).

fof(f407,plain,
    ( ~ sQ50_spl
    | op(e3,e0) = e2 ),
    inference(component_clause,[status(thm)],[f406]) ).

fof(f409,definition,
    ( sQ51_spl
  <=> op(e3,e0) = e3 ),
    introduced(definition,[new_symbols(definition,[sQ51_spl])],[split_symbol_definition]) ).

fof(f410,plain,
    ( ~ sQ51_spl
    | op(e3,e0) = e3 ),
    inference(component_clause,[status(thm)],[f409]) ).

fof(f412,plain,
    ( sQ51_spl
    | sQ50_spl
    | sQ49_spl
    | sQ48_spl ),
    inference(split_clause,[status(thm)],[f42,f400,f403,f406,f409]) ).

fof(f413,definition,
    ( sQ52_spl
  <=> op(e3,e1) = e0 ),
    introduced(definition,[new_symbols(definition,[sQ52_spl])],[split_symbol_definition]) ).

fof(f414,plain,
    ( ~ sQ52_spl
    | op(e3,e1) = e0 ),
    inference(component_clause,[status(thm)],[f413]) ).

fof(f416,definition,
    ( sQ53_spl
  <=> op(e3,e1) = e1 ),
    introduced(definition,[new_symbols(definition,[sQ53_spl])],[split_symbol_definition]) ).

fof(f417,plain,
    ( ~ sQ53_spl
    | op(e3,e1) = e1 ),
    inference(component_clause,[status(thm)],[f416]) ).

fof(f419,definition,
    ( sQ54_spl
  <=> op(e3,e1) = e2 ),
    introduced(definition,[new_symbols(definition,[sQ54_spl])],[split_symbol_definition]) ).

fof(f420,plain,
    ( ~ sQ54_spl
    | op(e3,e1) = e2 ),
    inference(component_clause,[status(thm)],[f419]) ).

fof(f422,definition,
    ( sQ55_spl
  <=> op(e3,e1) = e3 ),
    introduced(definition,[new_symbols(definition,[sQ55_spl])],[split_symbol_definition]) ).

fof(f423,plain,
    ( ~ sQ55_spl
    | op(e3,e1) = e3 ),
    inference(component_clause,[status(thm)],[f422]) ).

fof(f425,plain,
    ( sQ55_spl
    | sQ54_spl
    | sQ53_spl
    | sQ52_spl ),
    inference(split_clause,[status(thm)],[f43,f413,f416,f419,f422]) ).

fof(f426,definition,
    ( sQ56_spl
  <=> op(e3,e2) = e0 ),
    introduced(definition,[new_symbols(definition,[sQ56_spl])],[split_symbol_definition]) ).

fof(f427,plain,
    ( ~ sQ56_spl
    | op(e3,e2) = e0 ),
    inference(component_clause,[status(thm)],[f426]) ).

fof(f429,definition,
    ( sQ57_spl
  <=> op(e3,e2) = e1 ),
    introduced(definition,[new_symbols(definition,[sQ57_spl])],[split_symbol_definition]) ).

fof(f430,plain,
    ( ~ sQ57_spl
    | op(e3,e2) = e1 ),
    inference(component_clause,[status(thm)],[f429]) ).

fof(f432,definition,
    ( sQ58_spl
  <=> op(e3,e2) = e2 ),
    introduced(definition,[new_symbols(definition,[sQ58_spl])],[split_symbol_definition]) ).

fof(f433,plain,
    ( ~ sQ58_spl
    | op(e3,e2) = e2 ),
    inference(component_clause,[status(thm)],[f432]) ).

fof(f435,definition,
    ( sQ59_spl
  <=> op(e3,e2) = e3 ),
    introduced(definition,[new_symbols(definition,[sQ59_spl])],[split_symbol_definition]) ).

fof(f439,definition,
    ( sQ60_spl
  <=> op(e3,e3) = e0 ),
    introduced(definition,[new_symbols(definition,[sQ60_spl])],[split_symbol_definition]) ).

fof(f440,plain,
    ( ~ sQ60_spl
    | op(e3,e3) = e0 ),
    inference(component_clause,[status(thm)],[f439]) ).

fof(f442,definition,
    ( sQ61_spl
  <=> op(e3,e3) = e1 ),
    introduced(definition,[new_symbols(definition,[sQ61_spl])],[split_symbol_definition]) ).

fof(f443,plain,
    ( ~ sQ61_spl
    | op(e3,e3) = e1 ),
    inference(component_clause,[status(thm)],[f442]) ).

fof(f445,definition,
    ( sQ62_spl
  <=> op(e3,e3) = e2 ),
    introduced(definition,[new_symbols(definition,[sQ62_spl])],[split_symbol_definition]) ).

fof(f446,plain,
    ( ~ sQ62_spl
    | op(e3,e3) = e2 ),
    inference(component_clause,[status(thm)],[f445]) ).

fof(f448,definition,
    ( sQ63_spl
  <=> op(e3,e3) = e3 ),
    introduced(definition,[new_symbols(definition,[sQ63_spl])],[split_symbol_definition]) ).

fof(f451,plain,
    ( sQ63_spl
    | sQ62_spl
    | sQ61_spl
    | sQ60_spl ),
    inference(split_clause,[status(thm)],[f45,f439,f442,f445,f448]) ).

fof(f452,plain,
    ( sQ12_spl
    | sQ8_spl
    | sQ4_spl
    | sQ0_spl ),
    inference(split_clause,[status(thm)],[f46,f244,f257,f270,f283]) ).

fof(f453,plain,
    ( sQ48_spl
    | sQ32_spl
    | sQ16_spl
    | sQ0_spl ),
    inference(split_clause,[status(thm)],[f47,f244,f296,f348,f400]) ).

fof(f454,plain,
    ( sQ13_spl
    | sQ9_spl
    | sQ5_spl
    | sQ1_spl ),
    inference(split_clause,[status(thm)],[f48,f247,f260,f273,f286]) ).

fof(f455,plain,
    ( sQ49_spl
    | sQ33_spl
    | sQ17_spl
    | sQ1_spl ),
    inference(split_clause,[status(thm)],[f49,f247,f299,f351,f403]) ).

fof(f456,plain,
    ( sQ14_spl
    | sQ10_spl
    | sQ6_spl
    | sQ2_spl ),
    inference(split_clause,[status(thm)],[f50,f250,f263,f276,f289]) ).

fof(f457,plain,
    ( sQ50_spl
    | sQ34_spl
    | sQ18_spl
    | sQ2_spl ),
    inference(split_clause,[status(thm)],[f51,f250,f302,f354,f406]) ).

fof(f459,plain,
    ( sQ51_spl
    | sQ35_spl
    | sQ19_spl
    | sQ3_spl ),
    inference(split_clause,[status(thm)],[f53,f253,f305,f357,f409]) ).

fof(f461,plain,
    ( sQ52_spl
    | sQ36_spl
    | sQ20_spl
    | sQ4_spl ),
    inference(split_clause,[status(thm)],[f55,f257,f309,f361,f413]) ).

fof(f462,plain,
    ( sQ29_spl
    | sQ25_spl
    | sQ21_spl
    | sQ17_spl ),
    inference(split_clause,[status(thm)],[f56,f299,f312,f325,f338]) ).

fof(f463,plain,
    ( sQ53_spl
    | sQ37_spl
    | sQ21_spl
    | sQ5_spl ),
    inference(split_clause,[status(thm)],[f57,f260,f312,f364,f416]) ).

fof(f465,plain,
    ( sQ54_spl
    | sQ38_spl
    | sQ22_spl
    | sQ6_spl ),
    inference(split_clause,[status(thm)],[f59,f263,f315,f367,f419]) ).

fof(f466,plain,
    ( sQ31_spl
    | sQ27_spl
    | sQ23_spl
    | sQ19_spl ),
    inference(split_clause,[status(thm)],[f60,f305,f318,f331,f344]) ).

fof(f467,plain,
    ( sQ55_spl
    | sQ39_spl
    | sQ23_spl
    | sQ7_spl ),
    inference(split_clause,[status(thm)],[f61,f266,f318,f370,f422]) ).

fof(f468,plain,
    ( sQ44_spl
    | sQ40_spl
    | sQ36_spl
    | sQ32_spl ),
    inference(split_clause,[status(thm)],[f62,f348,f361,f374,f387]) ).

fof(f469,plain,
    ( sQ56_spl
    | sQ40_spl
    | sQ24_spl
    | sQ8_spl ),
    inference(split_clause,[status(thm)],[f63,f270,f322,f374,f426]) ).

fof(f471,plain,
    ( sQ57_spl
    | sQ41_spl
    | sQ25_spl
    | sQ9_spl ),
    inference(split_clause,[status(thm)],[f65,f273,f325,f377,f429]) ).

fof(f472,plain,
    ( sQ46_spl
    | sQ42_spl
    | sQ38_spl
    | sQ34_spl ),
    inference(split_clause,[status(thm)],[f66,f354,f367,f380,f393]) ).

fof(f473,plain,
    ( sQ58_spl
    | sQ42_spl
    | sQ26_spl
    | sQ10_spl ),
    inference(split_clause,[status(thm)],[f67,f276,f328,f380,f432]) ).

fof(f474,plain,
    ( sQ47_spl
    | sQ43_spl
    | sQ39_spl
    | sQ35_spl ),
    inference(split_clause,[status(thm)],[f68,f357,f370,f383,f396]) ).

fof(f475,plain,
    ( sQ59_spl
    | sQ43_spl
    | sQ27_spl
    | sQ11_spl ),
    inference(split_clause,[status(thm)],[f69,f279,f331,f383,f435]) ).

fof(f478,plain,
    ( sQ61_spl
    | sQ57_spl
    | sQ53_spl
    | sQ49_spl ),
    inference(split_clause,[status(thm)],[f72,f403,f416,f429,f442]) ).

fof(f479,plain,
    ( sQ61_spl
    | sQ45_spl
    | sQ29_spl
    | sQ13_spl ),
    inference(split_clause,[status(thm)],[f73,f286,f338,f390,f442]) ).

fof(f481,plain,
    ( sQ62_spl
    | sQ46_spl
    | sQ30_spl
    | sQ14_spl ),
    inference(split_clause,[status(thm)],[f75,f289,f341,f393,f445]) ).

fof(f482,plain,
    ( sQ63_spl
    | sQ59_spl
    | sQ55_spl
    | sQ51_spl ),
    inference(split_clause,[status(thm)],[f76,f409,f422,f435,f448]) ).

fof(f483,plain,
    ( sQ63_spl
    | sQ47_spl
    | sQ31_spl
    | sQ15_spl ),
    inference(split_clause,[status(thm)],[f77,f292,f344,f396,f448]) ).

fof(f484,plain,
    ~ sQ0_spl,
    inference(split_clause,[status(thm)],[f132,f244]) ).

fof(f488,plain,
    ( ~ sQ1_spl
    | ~ sQ4_spl ),
    inference(split_clause,[status(thm)],[f136,f257,f247]) ).

fof(f490,plain,
    ( ~ sQ41_spl
    | ~ sQ4_spl ),
    inference(split_clause,[status(thm)],[f138,f257,f377]) ).

fof(f491,plain,
    ( ~ sQ61_spl
    | ~ sQ4_spl ),
    inference(split_clause,[status(thm)],[f139,f257,f442]) ).

fof(f492,plain,
    ( ~ sQ2_spl
    | ~ sQ8_spl ),
    inference(split_clause,[status(thm)],[f140,f270,f250]) ).

fof(f493,plain,
    ( ~ sQ22_spl
    | ~ sQ8_spl ),
    inference(split_clause,[status(thm)],[f141,f270,f315]) ).

fof(f495,plain,
    ( ~ sQ62_spl
    | ~ sQ8_spl ),
    inference(split_clause,[status(thm)],[f143,f270,f445]) ).

fof(f496,plain,
    ( ~ sQ3_spl
    | ~ sQ12_spl ),
    inference(split_clause,[status(thm)],[f144,f283,f253]) ).

fof(f497,plain,
    ( ~ sQ23_spl
    | ~ sQ12_spl ),
    inference(split_clause,[status(thm)],[f145,f283,f318]) ).

fof(f498,plain,
    ( ~ sQ43_spl
    | ~ sQ12_spl ),
    inference(split_clause,[status(thm)],[f146,f283,f383]) ).

fof(f501,plain,
    ( ~ sQ20_spl
    | ~ sQ17_spl ),
    inference(split_clause,[status(thm)],[f149,f299,f309]) ).

fof(f502,plain,
    ( ~ sQ40_spl
    | ~ sQ17_spl ),
    inference(split_clause,[status(thm)],[f150,f299,f374]) ).

fof(f503,plain,
    ( ~ sQ60_spl
    | ~ sQ17_spl ),
    inference(split_clause,[status(thm)],[f151,f299,f439]) ).

fof(f505,plain,
    ~ sQ21_spl,
    inference(split_clause,[status(thm)],[f153,f312]) ).

fof(f508,plain,
    ( ~ sQ2_spl
    | ~ sQ25_spl ),
    inference(split_clause,[status(thm)],[f156,f325,f250]) ).

fof(f509,plain,
    ( ~ sQ22_spl
    | ~ sQ25_spl ),
    inference(split_clause,[status(thm)],[f157,f325,f315]) ).

fof(f511,plain,
    ( ~ sQ62_spl
    | ~ sQ25_spl ),
    inference(split_clause,[status(thm)],[f159,f325,f445]) ).

fof(f512,plain,
    ( ~ sQ3_spl
    | ~ sQ29_spl ),
    inference(split_clause,[status(thm)],[f160,f338,f253]) ).

fof(f513,plain,
    ( ~ sQ23_spl
    | ~ sQ29_spl ),
    inference(split_clause,[status(thm)],[f161,f338,f318]) ).

fof(f514,plain,
    ( ~ sQ43_spl
    | ~ sQ29_spl ),
    inference(split_clause,[status(thm)],[f162,f338,f383]) ).

fof(f517,plain,
    ( ~ sQ20_spl
    | ~ sQ34_spl ),
    inference(split_clause,[status(thm)],[f165,f354,f309]) ).

fof(f518,plain,
    ( ~ sQ40_spl
    | ~ sQ34_spl ),
    inference(split_clause,[status(thm)],[f166,f354,f374]) ).

fof(f519,plain,
    ( ~ sQ60_spl
    | ~ sQ34_spl ),
    inference(split_clause,[status(thm)],[f167,f354,f439]) ).

fof(f520,plain,
    ( ~ sQ1_spl
    | ~ sQ38_spl ),
    inference(split_clause,[status(thm)],[f168,f367,f247]) ).

fof(f522,plain,
    ( ~ sQ41_spl
    | ~ sQ38_spl ),
    inference(split_clause,[status(thm)],[f170,f367,f377]) ).

fof(f523,plain,
    ( ~ sQ61_spl
    | ~ sQ38_spl ),
    inference(split_clause,[status(thm)],[f171,f367,f442]) ).

fof(f526,plain,
    ~ sQ42_spl,
    inference(split_clause,[status(thm)],[f174,f380]) ).

fof(f528,plain,
    ( ~ sQ3_spl
    | ~ sQ46_spl ),
    inference(split_clause,[status(thm)],[f176,f393,f253]) ).

fof(f529,plain,
    ( ~ sQ23_spl
    | ~ sQ46_spl ),
    inference(split_clause,[status(thm)],[f177,f393,f318]) ).

fof(f530,plain,
    ( ~ sQ43_spl
    | ~ sQ46_spl ),
    inference(split_clause,[status(thm)],[f178,f393,f383]) ).

fof(f533,plain,
    ( ~ sQ20_spl
    | ~ sQ51_spl ),
    inference(split_clause,[status(thm)],[f181,f409,f309]) ).

fof(f534,plain,
    ( ~ sQ40_spl
    | ~ sQ51_spl ),
    inference(split_clause,[status(thm)],[f182,f409,f374]) ).

fof(f535,plain,
    ( ~ sQ60_spl
    | ~ sQ51_spl ),
    inference(split_clause,[status(thm)],[f183,f409,f439]) ).

fof(f536,plain,
    ( ~ sQ1_spl
    | ~ sQ55_spl ),
    inference(split_clause,[status(thm)],[f184,f422,f247]) ).

fof(f538,plain,
    ( ~ sQ41_spl
    | ~ sQ55_spl ),
    inference(split_clause,[status(thm)],[f186,f422,f377]) ).

fof(f539,plain,
    ( ~ sQ61_spl
    | ~ sQ55_spl ),
    inference(split_clause,[status(thm)],[f187,f422,f442]) ).

fof(f540,plain,
    ( ~ sQ2_spl
    | ~ sQ59_spl ),
    inference(split_clause,[status(thm)],[f188,f435,f250]) ).

fof(f541,plain,
    ( ~ sQ22_spl
    | ~ sQ59_spl ),
    inference(split_clause,[status(thm)],[f189,f435,f315]) ).

fof(f543,plain,
    ( ~ sQ62_spl
    | ~ sQ59_spl ),
    inference(split_clause,[status(thm)],[f191,f435,f445]) ).

fof(f547,plain,
    ~ sQ63_spl,
    inference(split_clause,[status(thm)],[f195,f448]) ).

fof(f548,definition,
    ( sQ64_spl
  <=> e0 = op(e3,op(e3,e3)) ),
    introduced(definition,[new_symbols(definition,[sQ64_spl])],[split_symbol_definition]) ).

fof(f550,plain,
    ( sQ64_spl
    | e0 != op(e3,op(e3,e3)) ),
    inference(component_clause,[status(thm)],[f548]) ).

fof(f555,definition,
    ( sQ66_spl
  <=> e0 = op(e2,op(e2,e2)) ),
    introduced(definition,[new_symbols(definition,[sQ66_spl])],[split_symbol_definition]) ).

fof(f557,plain,
    ( sQ66_spl
    | e0 != op(e2,op(e2,e2)) ),
    inference(component_clause,[status(thm)],[f555]) ).

fof(f558,definition,
    ( sQ67_spl
  <=> e3 = op(op(e2,op(e2,e2)),op(e2,e2)) ),
    introduced(definition,[new_symbols(definition,[sQ67_spl])],[split_symbol_definition]) ).

fof(f560,plain,
    ( sQ67_spl
    | e3 != op(op(e2,op(e2,e2)),op(e2,e2)) ),
    inference(component_clause,[status(thm)],[f558]) ).

fof(f561,plain,
    ( ~ sQ67_spl
    | ~ sQ41_spl
    | ~ sQ66_spl ),
    inference(split_clause,[status(thm)],[f199,f555,f377,f558]) ).

fof(f562,definition,
    ( sQ68_spl
  <=> e1 = op(op(e3,op(e3,e3)),op(e3,e3)) ),
    introduced(definition,[new_symbols(definition,[sQ68_spl])],[split_symbol_definition]) ).

fof(f564,plain,
    ( sQ68_spl
    | e1 != op(op(e3,op(e3,e3)),op(e3,e3)) ),
    inference(component_clause,[status(thm)],[f562]) ).

fof(f565,plain,
    ( ~ sQ68_spl
    | ~ sQ62_spl
    | ~ sQ64_spl ),
    inference(split_clause,[status(thm)],[f201,f548,f445,f562]) ).

fof(f569,definition,
    ( sQ70_spl
  <=> e3 = op(op(e1,op(e1,e1)),op(e1,e1)) ),
    introduced(definition,[new_symbols(definition,[sQ70_spl])],[split_symbol_definition]) ).

fof(f571,plain,
    ( sQ70_spl
    | e3 != op(op(e1,op(e1,e1)),op(e1,e1)) ),
    inference(component_clause,[status(thm)],[f569]) ).

fof(f573,definition,
    ( sQ71_spl
  <=> e1 = op(op(e2,op(e2,e2)),op(e2,e2)) ),
    introduced(definition,[new_symbols(definition,[sQ71_spl])],[split_symbol_definition]) ).

fof(f575,plain,
    ( sQ71_spl
    | e1 != op(op(e2,op(e2,e2)),op(e2,e2)) ),
    inference(component_clause,[status(thm)],[f573]) ).

fof(f576,plain,
    ( ~ sQ71_spl
    | ~ sQ43_spl
    | ~ sQ66_spl ),
    inference(split_clause,[status(thm)],[f205,f555,f383,f573]) ).

fof(f585,definition,
    ( sQ74_spl
  <=> e1 = op(e2,op(e2,e2)) ),
    introduced(definition,[new_symbols(definition,[sQ74_spl])],[split_symbol_definition]) ).

fof(f587,plain,
    ( sQ74_spl
    | e1 != op(e2,op(e2,e2)) ),
    inference(component_clause,[status(thm)],[f585]) ).

fof(f588,plain,
    ( ~ sQ67_spl
    | ~ sQ40_spl
    | ~ sQ74_spl ),
    inference(split_clause,[status(thm)],[f211,f585,f374,f558]) ).

fof(f589,definition,
    ( sQ75_spl
  <=> e0 = op(op(e3,op(e3,e3)),op(e3,e3)) ),
    introduced(definition,[new_symbols(definition,[sQ75_spl])],[split_symbol_definition]) ).

fof(f591,plain,
    ( sQ75_spl
    | e0 != op(op(e3,op(e3,e3)),op(e3,e3)) ),
    inference(component_clause,[status(thm)],[f589]) ).

fof(f593,definition,
    ( sQ76_spl
  <=> e1 = op(e0,op(e0,e0)) ),
    introduced(definition,[new_symbols(definition,[sQ76_spl])],[split_symbol_definition]) ).

fof(f595,plain,
    ( sQ76_spl
    | e1 != op(e0,op(e0,e0)) ),
    inference(component_clause,[status(thm)],[f593]) ).

fof(f596,definition,
    ( sQ77_spl
  <=> e3 = op(op(e0,op(e0,e0)),op(e0,e0)) ),
    introduced(definition,[new_symbols(definition,[sQ77_spl])],[split_symbol_definition]) ).

fof(f598,plain,
    ( sQ77_spl
    | e3 != op(op(e0,op(e0,e0)),op(e0,e0)) ),
    inference(component_clause,[status(thm)],[f596]) ).

fof(f599,plain,
    ( ~ sQ77_spl
    | ~ sQ2_spl
    | ~ sQ76_spl ),
    inference(split_clause,[status(thm)],[f215,f593,f250,f596]) ).

fof(f600,definition,
    ( sQ78_spl
  <=> e0 = op(op(e2,op(e2,e2)),op(e2,e2)) ),
    introduced(definition,[new_symbols(definition,[sQ78_spl])],[split_symbol_definition]) ).

fof(f602,plain,
    ( sQ78_spl
    | e0 != op(op(e2,op(e2,e2)),op(e2,e2)) ),
    inference(component_clause,[status(thm)],[f600]) ).

fof(f608,definition,
    ( sQ80_spl
  <=> e2 = op(e3,op(e3,e3)) ),
    introduced(definition,[new_symbols(definition,[sQ80_spl])],[split_symbol_definition]) ).

fof(f610,plain,
    ( sQ80_spl
    | e2 != op(e3,op(e3,e3)) ),
    inference(component_clause,[status(thm)],[f608]) ).

fof(f611,plain,
    ( ~ sQ68_spl
    | ~ sQ60_spl
    | ~ sQ80_spl ),
    inference(split_clause,[status(thm)],[f221,f608,f439,f562]) ).

fof(f612,definition,
    ( sQ81_spl
  <=> e2 = op(e1,op(e1,e1)) ),
    introduced(definition,[new_symbols(definition,[sQ81_spl])],[split_symbol_definition]) ).

fof(f614,plain,
    ( sQ81_spl
    | e2 != op(e1,op(e1,e1)) ),
    inference(component_clause,[status(thm)],[f612]) ).

fof(f615,plain,
    ( ~ sQ70_spl
    | ~ sQ20_spl
    | ~ sQ81_spl ),
    inference(split_clause,[status(thm)],[f223,f612,f309,f569]) ).

fof(f616,plain,
    ( ~ sQ75_spl
    | ~ sQ61_spl
    | ~ sQ80_spl ),
    inference(split_clause,[status(thm)],[f225,f608,f442,f589]) ).

fof(f617,definition,
    ( sQ82_spl
  <=> e2 = op(e0,op(e0,e0)) ),
    introduced(definition,[new_symbols(definition,[sQ82_spl])],[split_symbol_definition]) ).

fof(f619,plain,
    ( sQ82_spl
    | e2 != op(e0,op(e0,e0)) ),
    inference(component_clause,[status(thm)],[f617]) ).

fof(f620,plain,
    ( ~ sQ77_spl
    | ~ sQ1_spl
    | ~ sQ82_spl ),
    inference(split_clause,[status(thm)],[f227,f617,f247,f596]) ).

fof(f621,definition,
    ( sQ83_spl
  <=> e0 = op(op(e1,op(e1,e1)),op(e1,e1)) ),
    introduced(definition,[new_symbols(definition,[sQ83_spl])],[split_symbol_definition]) ).

fof(f623,plain,
    ( sQ83_spl
    | e0 != op(op(e1,op(e1,e1)),op(e1,e1)) ),
    inference(component_clause,[status(thm)],[f621]) ).

fof(f624,plain,
    ( ~ sQ83_spl
    | ~ sQ23_spl
    | ~ sQ81_spl ),
    inference(split_clause,[status(thm)],[f229,f612,f318,f621]) ).

fof(f625,definition,
    ( sQ84_spl
  <=> e1 = op(op(e0,op(e0,e0)),op(e0,e0)) ),
    introduced(definition,[new_symbols(definition,[sQ84_spl])],[split_symbol_definition]) ).

fof(f627,plain,
    ( sQ84_spl
    | e1 != op(op(e0,op(e0,e0)),op(e0,e0)) ),
    inference(component_clause,[status(thm)],[f625]) ).

fof(f628,plain,
    ( ~ sQ84_spl
    | ~ sQ3_spl
    | ~ sQ82_spl ),
    inference(split_clause,[status(thm)],[f231,f617,f253,f625]) ).

fof(f629,definition,
    ( sQ85_spl
  <=> e3 = op(e2,op(e2,e2)) ),
    introduced(definition,[new_symbols(definition,[sQ85_spl])],[split_symbol_definition]) ).

fof(f631,plain,
    ( sQ85_spl
    | e3 != op(e2,op(e2,e2)) ),
    inference(component_clause,[status(thm)],[f629]) ).

fof(f637,plain,
    ( ~ sQ78_spl
    | ~ sQ41_spl
    | ~ sQ85_spl ),
    inference(split_clause,[status(thm)],[f237,f629,f377,f600]) ).

fof(f638,definition,
    ( sQ87_spl
  <=> e3 = op(e0,op(e0,e0)) ),
    introduced(definition,[new_symbols(definition,[sQ87_spl])],[split_symbol_definition]) ).

fof(f639,plain,
    ( ~ sQ87_spl
    | e3 = op(e0,op(e0,e0)) ),
    inference(component_clause,[status(thm)],[f638]) ).

fof(f640,plain,
    ( sQ87_spl
    | e3 != op(e0,op(e0,e0)) ),
    inference(component_clause,[status(thm)],[f638]) ).

fof(f645,plain,
    ( ~ sQ13_spl
    | ~ sQ14_spl
    | e2 = e1 ),
    inference(forward_demodulation,[status(thm)],[f290,f287]) ).

fof(f646,plain,
    ( ~ sQ13_spl
    | ~ sQ14_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f645,f129]) ).

fof(f647,plain,
    ( ~ sQ13_spl
    | ~ sQ14_spl ),
    inference(contradiction_clause,[status(thm)],[f646]) ).

fof(f648,plain,
    ( ~ sQ33_spl
    | op(e0,e0) != e1 ),
    inference(forward_demodulation,[status(thm)],[f352,f79]) ).

fof(f649,plain,
    ( ~ sQ30_spl
    | ~ sQ31_spl
    | e3 = e2 ),
    inference(forward_demodulation,[status(thm)],[f345,f342]) ).

fof(f650,plain,
    ( ~ sQ30_spl
    | ~ sQ31_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f649,f131]) ).

fof(f651,plain,
    ( ~ sQ30_spl
    | ~ sQ31_spl ),
    inference(contradiction_clause,[status(thm)],[f650]) ).

fof(f656,plain,
    ( ~ sQ13_spl
    | ~ sQ15_spl
    | e3 = e1 ),
    inference(forward_demodulation,[status(thm)],[f293,f287]) ).

fof(f657,plain,
    ( ~ sQ13_spl
    | ~ sQ15_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f656,f130]) ).

fof(f658,plain,
    ( ~ sQ13_spl
    | ~ sQ15_spl ),
    inference(contradiction_clause,[status(thm)],[f657]) ).

fof(f660,plain,
    ( ~ sQ57_spl
    | ~ sQ58_spl
    | e2 = e1 ),
    inference(forward_demodulation,[status(thm)],[f433,f430]) ).

fof(f661,plain,
    ( ~ sQ57_spl
    | ~ sQ58_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f660,f129]) ).

fof(f662,plain,
    ( ~ sQ57_spl
    | ~ sQ58_spl ),
    inference(contradiction_clause,[status(thm)],[f661]) ).

fof(f663,plain,
    ( ~ sQ53_spl
    | ~ sQ54_spl
    | e2 = e1 ),
    inference(forward_demodulation,[status(thm)],[f420,f417]) ).

fof(f664,plain,
    ( ~ sQ53_spl
    | ~ sQ54_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f663,f129]) ).

fof(f665,plain,
    ( ~ sQ53_spl
    | ~ sQ54_spl ),
    inference(contradiction_clause,[status(thm)],[f664]) ).

fof(f668,plain,
    ( ~ sQ49_spl
    | ~ sQ50_spl
    | e2 = e1 ),
    inference(forward_demodulation,[status(thm)],[f407,f404]) ).

fof(f669,plain,
    ( ~ sQ49_spl
    | ~ sQ50_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f668,f129]) ).

fof(f670,plain,
    ( ~ sQ49_spl
    | ~ sQ50_spl ),
    inference(contradiction_clause,[status(thm)],[f669]) ).

fof(f673,plain,
    ( ~ sQ33_spl
    | ~ sQ35_spl
    | e3 = e1 ),
    inference(backward_demodulation,[status(thm)],[f358,f352]) ).

fof(f674,plain,
    ( ~ sQ33_spl
    | ~ sQ35_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f673,f130]) ).

fof(f675,plain,
    ( ~ sQ33_spl
    | ~ sQ35_spl ),
    inference(contradiction_clause,[status(thm)],[f674]) ).

fof(f680,plain,
    ( ~ sQ10_spl
    | ~ sQ11_spl
    | e3 = e2 ),
    inference(forward_demodulation,[status(thm)],[f280,f277]) ).

fof(f681,plain,
    ( ~ sQ10_spl
    | ~ sQ11_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f680,f131]) ).

fof(f682,plain,
    ( ~ sQ10_spl
    | ~ sQ11_spl ),
    inference(contradiction_clause,[status(thm)],[f681]) ).

fof(f693,plain,
    ( ~ sQ48_spl
    | op(e1,e0) != e0 ),
    inference(forward_demodulation,[status(thm)],[f401,f82]) ).

fof(f694,plain,
    ( ~ sQ37_spl
    | ~ sQ39_spl
    | e3 = e1 ),
    inference(forward_demodulation,[status(thm)],[f371,f365]) ).

fof(f695,plain,
    ( ~ sQ37_spl
    | ~ sQ39_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f694,f130]) ).

fof(f696,plain,
    ( ~ sQ37_spl
    | ~ sQ39_spl ),
    inference(contradiction_clause,[status(thm)],[f695]) ).

fof(f705,plain,
    ( ~ sQ6_spl
    | ~ sQ7_spl
    | e3 = e2 ),
    inference(forward_demodulation,[status(thm)],[f267,f264]) ).

fof(f706,plain,
    ( ~ sQ6_spl
    | ~ sQ7_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f705,f131]) ).

fof(f707,plain,
    ( ~ sQ6_spl
    | ~ sQ7_spl ),
    inference(contradiction_clause,[status(thm)],[f706]) ).

fof(f709,plain,
    ( ~ sQ36_spl
    | op(e0,e1) != e0 ),
    inference(forward_demodulation,[status(thm)],[f362,f85]) ).

fof(f711,plain,
    ( ~ sQ16_spl
    | ~ sQ19_spl
    | e3 = e0 ),
    inference(forward_demodulation,[status(thm)],[f306,f297]) ).

fof(f712,plain,
    ( ~ sQ16_spl
    | ~ sQ19_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f711,f128]) ).

fof(f713,plain,
    ( ~ sQ16_spl
    | ~ sQ19_spl ),
    inference(contradiction_clause,[status(thm)],[f712]) ).

fof(f714,plain,
    ( ~ sQ5_spl
    | e1 != op(e3,e1) ),
    inference(forward_demodulation,[status(thm)],[f261,f86]) ).

fof(f725,plain,
    ( ~ sQ24_spl
    | ~ sQ26_spl
    | e2 = e0 ),
    inference(backward_demodulation,[status(thm)],[f329,f323]) ).

fof(f726,plain,
    ( ~ sQ24_spl
    | ~ sQ26_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f725,f127]) ).

fof(f727,plain,
    ( ~ sQ24_spl
    | ~ sQ26_spl ),
    inference(contradiction_clause,[status(thm)],[f726]) ).

fof(f742,plain,
    ( ~ sQ5_spl
    | ~ sQ53_spl ),
    inference(split_clause,[status(thm)],[f714,f416,f260]) ).

fof(f745,plain,
    ( ~ sQ36_spl
    | e0 != op(e3,e1) ),
    inference(forward_demodulation,[status(thm)],[f362,f89]) ).

fof(f756,plain,
    ( ~ sQ11_spl
    | e3 != op(e1,e2) ),
    inference(backward_demodulation,[status(thm)],[f280,f90]) ).

fof(f757,plain,
    ( ~ sQ11_spl
    | ~ sQ27_spl ),
    inference(split_clause,[status(thm)],[f756,f331,f279]) ).

fof(f759,plain,
    ( ~ sQ50_spl
    | ~ sQ51_spl
    | e3 = e2 ),
    inference(forward_demodulation,[status(thm)],[f410,f407]) ).

fof(f760,plain,
    ( ~ sQ50_spl
    | ~ sQ51_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f759,f131]) ).

fof(f761,plain,
    ( ~ sQ50_spl
    | ~ sQ51_spl ),
    inference(contradiction_clause,[status(thm)],[f760]) ).

fof(f769,plain,
    ( ~ sQ9_spl
    | e1 != op(e3,e2) ),
    inference(forward_demodulation,[status(thm)],[f274,f92]) ).

fof(f771,plain,
    ( ~ sQ36_spl
    | ~ sQ37_spl
    | e1 = e0 ),
    inference(backward_demodulation,[status(thm)],[f365,f362]) ).

fof(f772,plain,
    ( ~ sQ36_spl
    | ~ sQ37_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f771,f126]) ).

fof(f773,plain,
    ( ~ sQ36_spl
    | ~ sQ37_spl ),
    inference(contradiction_clause,[status(thm)],[f772]) ).

fof(f778,plain,
    ( ~ sQ14_spl
    | ~ sQ15_spl
    | e3 = e2 ),
    inference(forward_demodulation,[status(thm)],[f293,f290]) ).

fof(f779,plain,
    ( ~ sQ14_spl
    | ~ sQ15_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f778,f131]) ).

fof(f780,plain,
    ( ~ sQ14_spl
    | ~ sQ15_spl ),
    inference(contradiction_clause,[status(thm)],[f779]) ).

fof(f783,plain,
    ( ~ sQ25_spl
    | e1 != op(e3,e2) ),
    inference(backward_demodulation,[status(thm)],[f326,f94]) ).

fof(f785,plain,
    ( ~ sQ25_spl
    | ~ sQ57_spl ),
    inference(split_clause,[status(thm)],[f783,f429,f325]) ).

fof(f788,plain,
    ( ~ sQ33_spl
    | ~ sQ1_spl ),
    inference(split_clause,[status(thm)],[f648,f247,f351]) ).

fof(f790,plain,
    ( ~ sQ8_spl
    | ~ sQ9_spl
    | e1 = e0 ),
    inference(forward_demodulation,[status(thm)],[f274,f271]) ).

fof(f791,plain,
    ( ~ sQ8_spl
    | ~ sQ9_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f790,f126]) ).

fof(f792,plain,
    ( ~ sQ8_spl
    | ~ sQ9_spl ),
    inference(contradiction_clause,[status(thm)],[f791]) ).

fof(f793,plain,
    ( ~ sQ28_spl
    | op(e0,e3) != e0 ),
    inference(forward_demodulation,[status(thm)],[f336,f96]) ).

fof(f794,plain,
    ( ~ sQ44_spl
    | op(e0,e3) != e0 ),
    inference(forward_demodulation,[status(thm)],[f388,f97]) ).

fof(f800,plain,
    ( ~ sQ60_spl
    | op(e0,e3) != e0 ),
    inference(backward_demodulation,[status(thm)],[f440,f98]) ).

fof(f803,plain,
    ( ~ sQ60_spl
    | ~ sQ12_spl ),
    inference(split_clause,[status(thm)],[f800,f283,f439]) ).

fof(f808,plain,
    ( ~ sQ28_spl
    | e0 != op(e2,e3) ),
    inference(forward_demodulation,[status(thm)],[f336,f99]) ).

fof(f809,plain,
    ( ~ sQ28_spl
    | ~ sQ44_spl
    | e0 != e0 ),
    inference(forward_demodulation,[status(thm)],[f388,f808]) ).

fof(f810,plain,
    ( ~ sQ28_spl
    | ~ sQ44_spl
    | $false ),
    inference(trivial_equality_resolution,[status(thm)],[f809]) ).

fof(f811,plain,
    ( ~ sQ28_spl
    | ~ sQ44_spl ),
    inference(contradiction_clause,[status(thm)],[f810]) ).

fof(f826,plain,
    ( ~ sQ43_spl
    | e3 != op(e3,e2) ),
    inference(backward_demodulation,[status(thm)],[f384,f95]) ).

fof(f827,plain,
    ( ~ sQ3_spl
    | e3 != op(e0,e2) ),
    inference(forward_demodulation,[status(thm)],[f254,f103]) ).

fof(f834,plain,
    ( ~ sQ3_spl
    | e3 != op(e0,e3) ),
    inference(forward_demodulation,[status(thm)],[f254,f104]) ).

fof(f840,plain,
    ( ~ sQ6_spl
    | e2 != op(e0,e3) ),
    inference(forward_demodulation,[status(thm)],[f264,f106]) ).

fof(f846,plain,
    ( ~ sQ60_spl
    | op(e2,e3) != e0 ),
    inference(backward_demodulation,[status(thm)],[f440,f101]) ).

fof(f848,plain,
    ( ~ sQ60_spl
    | op(e1,e3) != e0 ),
    inference(backward_demodulation,[status(thm)],[f440,f100]) ).

fof(f864,plain,
    ( ~ sQ20_spl
    | ~ sQ23_spl
    | e3 = e0 ),
    inference(forward_demodulation,[status(thm)],[f319,f310]) ).

fof(f865,plain,
    ( ~ sQ20_spl
    | ~ sQ23_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f864,f128]) ).

fof(f866,plain,
    ( ~ sQ20_spl
    | ~ sQ23_spl ),
    inference(contradiction_clause,[status(thm)],[f865]) ).

fof(f869,plain,
    ( ~ sQ18_spl
    | e2 != op(e1,e2) ),
    inference(forward_demodulation,[status(thm)],[f303,f109]) ).

fof(f874,plain,
    ( ~ sQ5_spl
    | ~ sQ6_spl
    | e2 = e1 ),
    inference(forward_demodulation,[status(thm)],[f264,f261]) ).

fof(f875,plain,
    ( ~ sQ5_spl
    | ~ sQ6_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f874,f129]) ).

fof(f876,plain,
    ( ~ sQ5_spl
    | ~ sQ6_spl ),
    inference(contradiction_clause,[status(thm)],[f875]) ).

fof(f900,plain,
    ( ~ sQ48_spl
    | ~ sQ49_spl
    | e1 = e0 ),
    inference(forward_demodulation,[status(thm)],[f404,f401]) ).

fof(f901,plain,
    ( ~ sQ48_spl
    | ~ sQ49_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f900,f126]) ).

fof(f902,plain,
    ( ~ sQ48_spl
    | ~ sQ49_spl ),
    inference(contradiction_clause,[status(thm)],[f901]) ).

fof(f903,plain,
    ( ~ sQ3_spl
    | ~ sQ15_spl ),
    inference(split_clause,[status(thm)],[f834,f292,f253]) ).

fof(f905,plain,
    ( ~ sQ30_spl
    | op(e1,e0) != e2 ),
    inference(backward_demodulation,[status(thm)],[f342,f110]) ).

fof(f907,plain,
    ( ~ sQ30_spl
    | op(e1,e2) != e2 ),
    inference(forward_demodulation,[status(thm)],[f342,f113]) ).

fof(f908,plain,
    ( ~ sQ8_spl
    | ~ sQ10_spl
    | e2 = e0 ),
    inference(backward_demodulation,[status(thm)],[f277,f271]) ).

fof(f909,plain,
    ( ~ sQ8_spl
    | ~ sQ10_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f908,f127]) ).

fof(f910,plain,
    ( ~ sQ8_spl
    | ~ sQ10_spl ),
    inference(contradiction_clause,[status(thm)],[f909]) ).

fof(f911,plain,
    ( ~ sQ30_spl
    | ~ sQ26_spl ),
    inference(split_clause,[status(thm)],[f907,f328,f341]) ).

fof(f921,plain,
    ( ~ sQ41_spl
    | op(e2,e1) != e1 ),
    inference(forward_demodulation,[status(thm)],[f378,f117]) ).

fof(f925,plain,
    ( ~ sQ20_spl
    | e0 != op(e1,e2) ),
    inference(backward_demodulation,[status(thm)],[f310,f111]) ).

fof(f929,plain,
    ( ~ sQ39_spl
    | e3 != op(e2,e3) ),
    inference(backward_demodulation,[status(thm)],[f371,f118]) ).

fof(f932,plain,
    ( ~ sQ39_spl
    | op(e2,e0) != e3 ),
    inference(backward_demodulation,[status(thm)],[f371,f114]) ).

fof(f934,plain,
    ( ~ sQ41_spl
    | e1 != op(e2,e3) ),
    inference(forward_demodulation,[status(thm)],[f378,f119]) ).

fof(f938,plain,
    ( ~ sQ53_spl
    | op(e3,e0) != e1 ),
    inference(forward_demodulation,[status(thm)],[f417,f120]) ).

fof(f946,plain,
    ( ~ sQ56_spl
    | op(e3,e0) != e0 ),
    inference(forward_demodulation,[status(thm)],[f427,f121]) ).

fof(f957,plain,
    ( ~ sQ36_spl
    | ~ sQ39_spl
    | e3 = e0 ),
    inference(forward_demodulation,[status(thm)],[f371,f362]) ).

fof(f958,plain,
    ( ~ sQ36_spl
    | ~ sQ39_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f957,f128]) ).

fof(f959,plain,
    ( ~ sQ36_spl
    | ~ sQ39_spl ),
    inference(contradiction_clause,[status(thm)],[f958]) ).

fof(f960,plain,
    ( ~ sQ6_spl
    | ~ sQ14_spl ),
    inference(split_clause,[status(thm)],[f840,f289,f263]) ).

fof(f961,plain,
    ( ~ sQ41_spl
    | ~ sQ37_spl ),
    inference(split_clause,[status(thm)],[f921,f364,f377]) ).

fof(f965,plain,
    ( ~ sQ16_spl
    | ~ sQ17_spl
    | e1 = e0 ),
    inference(forward_demodulation,[status(thm)],[f300,f297]) ).

fof(f966,plain,
    ( ~ sQ16_spl
    | ~ sQ17_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f965,f126]) ).

fof(f967,plain,
    ( ~ sQ16_spl
    | ~ sQ17_spl ),
    inference(contradiction_clause,[status(thm)],[f966]) ).

fof(f968,plain,
    ( ~ sQ30_spl
    | ~ sQ18_spl ),
    inference(split_clause,[status(thm)],[f905,f302,f341]) ).

fof(f971,plain,
    ( ~ sQ3_spl
    | ~ sQ11_spl ),
    inference(split_clause,[status(thm)],[f827,f279,f253]) ).

fof(f972,plain,
    ( ~ sQ41_spl
    | ~ sQ45_spl ),
    inference(split_clause,[status(thm)],[f934,f390,f377]) ).

fof(f979,plain,
    ( sQ80_spl
    | ~ sQ61_spl
    | e2 != op(e3,e1) ),
    inference(backward_demodulation,[status(thm)],[f443,f610]) ).

fof(f982,plain,
    ( ~ sQ61_spl
    | op(e3,e2) != e1 ),
    inference(backward_demodulation,[status(thm)],[f443,f125]) ).

fof(f983,plain,
    ( ~ sQ61_spl
    | op(e3,e1) != e1 ),
    inference(backward_demodulation,[status(thm)],[f443,f124]) ).

fof(f984,plain,
    ( sQ80_spl
    | ~ sQ61_spl
    | ~ sQ54_spl ),
    inference(split_clause,[status(thm)],[f979,f419,f442,f608]) ).

fof(f985,plain,
    ( ~ sQ61_spl
    | ~ sQ57_spl ),
    inference(split_clause,[status(thm)],[f982,f429,f442]) ).

fof(f989,plain,
    ( ~ sQ3_spl
    | e3 != op(e3,e0) ),
    inference(backward_demodulation,[status(thm)],[f254,f80]) ).

fof(f996,plain,
    ( ~ sQ3_spl
    | e3 != op(e1,e0) ),
    inference(forward_demodulation,[status(thm)],[f254,f78]) ).

fof(f998,plain,
    ( ~ sQ19_spl
    | ~ sQ3_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f306,f996]) ).

fof(f999,plain,
    ( ~ sQ19_spl
    | ~ sQ3_spl ),
    inference(contradiction_clause,[status(thm)],[f998]) ).

fof(f1006,plain,
    ( sQ81_spl
    | ~ sQ23_spl
    | e2 != op(e1,e3) ),
    inference(forward_demodulation,[status(thm)],[f319,f614]) ).

fof(f1018,plain,
    ( ~ sQ51_spl
    | op(e2,e0) != e3 ),
    inference(backward_demodulation,[status(thm)],[f410,f83]) ).

fof(f1022,plain,
    ( ~ sQ23_spl
    | e3 != op(e3,e1) ),
    inference(forward_demodulation,[status(thm)],[f319,f88]) ).

fof(f1038,plain,
    ( ~ sQ32_spl
    | ~ sQ34_spl
    | e2 = e0 ),
    inference(forward_demodulation,[status(thm)],[f355,f349]) ).

fof(f1039,plain,
    ( ~ sQ32_spl
    | ~ sQ34_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f1038,f127]) ).

fof(f1040,plain,
    ( ~ sQ32_spl
    | ~ sQ34_spl ),
    inference(contradiction_clause,[status(thm)],[f1039]) ).

fof(f1041,plain,
    ( sQ81_spl
    | ~ sQ23_spl
    | ~ sQ30_spl ),
    inference(split_clause,[status(thm)],[f1006,f341,f318,f612]) ).

fof(f1042,plain,
    ( ~ sQ55_spl
    | ~ sQ23_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f423,f1022]) ).

fof(f1043,plain,
    ( ~ sQ55_spl
    | ~ sQ23_spl ),
    inference(contradiction_clause,[status(thm)],[f1042]) ).

fof(f1051,plain,
    ( ~ sQ25_spl
    | e1 != op(e2,e2) ),
    inference(backward_demodulation,[status(thm)],[f326,f93]) ).

fof(f1058,plain,
    ( ~ sQ38_spl
    | op(e0,e1) != e2 ),
    inference(backward_demodulation,[status(thm)],[f368,f85]) ).

fof(f1060,plain,
    ( ~ sQ38_spl
    | ~ sQ6_spl ),
    inference(split_clause,[status(thm)],[f1058,f263,f367]) ).

fof(f1061,plain,
    ( ~ sQ44_spl
    | ~ sQ12_spl ),
    inference(split_clause,[status(thm)],[f794,f283,f387]) ).

fof(f1062,plain,
    ( ~ sQ51_spl
    | ~ sQ35_spl ),
    inference(split_clause,[status(thm)],[f1018,f357,f409]) ).

fof(f1063,plain,
    ( ~ sQ56_spl
    | ~ sQ48_spl ),
    inference(split_clause,[status(thm)],[f946,f400,f426]) ).

fof(f1064,plain,
    ( ~ sQ20_spl
    | ~ sQ24_spl ),
    inference(split_clause,[status(thm)],[f925,f322,f309]) ).

fof(f1065,plain,
    ( ~ sQ61_spl
    | ~ sQ53_spl ),
    inference(split_clause,[status(thm)],[f983,f416,f442]) ).

fof(f1067,plain,
    ( ~ sQ36_spl
    | ~ sQ52_spl ),
    inference(split_clause,[status(thm)],[f745,f413,f361]) ).

fof(f1068,plain,
    ( ~ sQ28_spl
    | ~ sQ12_spl ),
    inference(split_clause,[status(thm)],[f793,f283,f335]) ).

fof(f1069,plain,
    ( ~ sQ3_spl
    | ~ sQ51_spl ),
    inference(split_clause,[status(thm)],[f989,f409,f253]) ).

fof(f1070,plain,
    ( ~ sQ48_spl
    | ~ sQ16_spl ),
    inference(split_clause,[status(thm)],[f693,f296,f400]) ).

fof(f1071,plain,
    ( ~ sQ30_spl
    | e2 != op(e2,e3) ),
    inference(backward_demodulation,[status(thm)],[f342,f99]) ).

fof(f1090,plain,
    ( ~ sQ1_spl
    | e1 != op(e0,e3) ),
    inference(forward_demodulation,[status(thm)],[f248,f104]) ).

fof(f1099,plain,
    ( ~ sQ1_spl
    | e1 != op(e0,e1) ),
    inference(forward_demodulation,[status(thm)],[f248,f102]) ).

fof(f1107,plain,
    ( ~ sQ41_spl
    | ~ sQ25_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f378,f1051]) ).

fof(f1108,plain,
    ( ~ sQ41_spl
    | ~ sQ25_spl ),
    inference(contradiction_clause,[status(thm)],[f1107]) ).

fof(f1111,plain,
    ( ~ sQ43_spl
    | ~ sQ59_spl ),
    inference(split_clause,[status(thm)],[f826,f435,f383]) ).

fof(f1121,plain,
    ( ~ sQ52_spl
    | op(e0,e1) != e0 ),
    inference(backward_demodulation,[status(thm)],[f414,f86]) ).

fof(f1128,plain,
    ( ~ sQ61_spl
    | op(e1,e3) != e1 ),
    inference(backward_demodulation,[status(thm)],[f443,f100]) ).

fof(f1129,plain,
    ( ~ sQ61_spl
    | op(e2,e3) != e1 ),
    inference(backward_demodulation,[status(thm)],[f443,f101]) ).

fof(f1132,plain,
    ( ~ sQ61_spl
    | ~ sQ45_spl ),
    inference(split_clause,[status(thm)],[f1129,f390,f442]) ).

fof(f1133,plain,
    ( ~ sQ39_spl
    | ~ sQ35_spl ),
    inference(split_clause,[status(thm)],[f932,f357,f370]) ).

fof(f1137,plain,
    ( sQ82_spl
    | ~ sQ1_spl
    | e2 != op(e0,e1) ),
    inference(backward_demodulation,[status(thm)],[f248,f619]) ).

fof(f1138,plain,
    ( sQ82_spl
    | ~ sQ1_spl
    | ~ sQ6_spl ),
    inference(split_clause,[status(thm)],[f1137,f263,f247,f617]) ).

fof(f1139,plain,
    ( sQ77_spl
    | ~ sQ1_spl
    | e3 != op(op(e0,e1),op(e0,e0)) ),
    inference(forward_demodulation,[status(thm)],[f248,f598]) ).

fof(f1140,plain,
    ( sQ77_spl
    | ~ sQ1_spl
    | e3 != op(op(e0,e1),e1) ),
    inference(forward_demodulation,[status(thm)],[f248,f1139]) ).

fof(f1164,plain,
    ( ~ sQ31_spl
    | op(e1,e0) != e3 ),
    inference(backward_demodulation,[status(thm)],[f345,f110]) ).

fof(f1167,plain,
    ( ~ sQ31_spl
    | ~ sQ19_spl ),
    inference(split_clause,[status(thm)],[f1164,f305,f344]) ).

fof(f1175,plain,
    ( ~ sQ43_spl
    | e3 != op(e2,e3) ),
    inference(forward_demodulation,[status(thm)],[f384,f119]) ).

fof(f1235,plain,
    ( ~ sQ1_spl
    | e1 != op(e3,e0) ),
    inference(forward_demodulation,[status(thm)],[f248,f80]) ).

fof(f1265,plain,
    ( sQ83_spl
    | ~ sQ23_spl
    | e0 != op(op(e1,e3),op(e1,e1)) ),
    inference(forward_demodulation,[status(thm)],[f319,f623]) ).

fof(f1266,plain,
    ( sQ83_spl
    | ~ sQ23_spl
    | ~ sQ30_spl
    | e0 != op(e2,op(e1,e1)) ),
    inference(forward_demodulation,[status(thm)],[f342,f1265]) ).

fof(f1267,plain,
    ( sQ83_spl
    | ~ sQ23_spl
    | ~ sQ30_spl
    | e0 != op(e2,e3) ),
    inference(forward_demodulation,[status(thm)],[f319,f1266]) ).

fof(f1268,plain,
    ( sQ83_spl
    | ~ sQ23_spl
    | ~ sQ30_spl
    | ~ sQ44_spl
    | e0 != e0 ),
    inference(forward_demodulation,[status(thm)],[f388,f1267]) ).

fof(f1269,plain,
    ( sQ83_spl
    | ~ sQ23_spl
    | ~ sQ30_spl
    | ~ sQ44_spl
    | $false ),
    inference(trivial_equality_resolution,[status(thm)],[f1268]) ).

fof(f1270,plain,
    ( sQ83_spl
    | ~ sQ23_spl
    | ~ sQ30_spl
    | ~ sQ44_spl ),
    inference(contradiction_clause,[status(thm)],[f1269]) ).

fof(f1271,plain,
    ( ~ sQ58_spl
    | e2 != op(e3,e3) ),
    inference(forward_demodulation,[status(thm)],[f433,f125]) ).

fof(f1273,plain,
    ( ~ sQ1_spl
    | ~ sQ49_spl ),
    inference(split_clause,[status(thm)],[f1235,f403,f247]) ).

fof(f1276,plain,
    ( ~ sQ60_spl
    | ~ sQ28_spl ),
    inference(split_clause,[status(thm)],[f848,f335,f439]) ).

fof(f1277,plain,
    ( ~ sQ18_spl
    | ~ sQ26_spl ),
    inference(split_clause,[status(thm)],[f869,f328,f302]) ).

fof(f1280,plain,
    ( ~ sQ53_spl
    | ~ sQ49_spl ),
    inference(split_clause,[status(thm)],[f938,f403,f416]) ).

fof(f1281,plain,
    ( ~ sQ1_spl
    | ~ sQ13_spl ),
    inference(split_clause,[status(thm)],[f1090,f286,f247]) ).

fof(f1282,plain,
    ( ~ sQ39_spl
    | ~ sQ47_spl ),
    inference(split_clause,[status(thm)],[f929,f396,f370]) ).

fof(f1303,plain,
    ( ~ sQ53_spl
    | ~ sQ55_spl
    | e3 = e1 ),
    inference(backward_demodulation,[status(thm)],[f423,f417]) ).

fof(f1304,plain,
    ( ~ sQ53_spl
    | ~ sQ55_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f1303,f130]) ).

fof(f1305,plain,
    ( ~ sQ53_spl
    | ~ sQ55_spl ),
    inference(contradiction_clause,[status(thm)],[f1304]) ).

fof(f1306,plain,
    ( ~ sQ31_spl
    | e3 != op(e2,e3) ),
    inference(backward_demodulation,[status(thm)],[f345,f99]) ).

fof(f1309,plain,
    ( ~ sQ31_spl
    | ~ sQ47_spl ),
    inference(split_clause,[status(thm)],[f1306,f396,f344]) ).

fof(f1310,plain,
    ( ~ sQ61_spl
    | ~ sQ29_spl ),
    inference(split_clause,[status(thm)],[f1128,f338,f442]) ).

fof(f1350,plain,
    ( sQ85_spl
    | ~ sQ41_spl
    | e3 != op(e2,e1) ),
    inference(forward_demodulation,[status(thm)],[f378,f631]) ).

fof(f1351,plain,
    ( sQ85_spl
    | ~ sQ41_spl
    | ~ sQ39_spl
    | e3 != e3 ),
    inference(forward_demodulation,[status(thm)],[f371,f1350]) ).

fof(f1352,plain,
    ( sQ85_spl
    | ~ sQ41_spl
    | ~ sQ39_spl
    | $false ),
    inference(trivial_equality_resolution,[status(thm)],[f1351]) ).

fof(f1353,plain,
    ( sQ85_spl
    | ~ sQ41_spl
    | ~ sQ39_spl ),
    inference(contradiction_clause,[status(thm)],[f1352]) ).

fof(f1356,plain,
    ( sQ78_spl
    | ~ sQ41_spl
    | e0 != op(op(e2,e1),op(e2,e2)) ),
    inference(forward_demodulation,[status(thm)],[f378,f602]) ).

fof(f1357,plain,
    ( sQ78_spl
    | ~ sQ41_spl
    | ~ sQ39_spl
    | e0 != op(e3,op(e2,e2)) ),
    inference(forward_demodulation,[status(thm)],[f371,f1356]) ).

fof(f1358,plain,
    ( sQ78_spl
    | ~ sQ41_spl
    | ~ sQ39_spl
    | e0 != op(e3,e1) ),
    inference(forward_demodulation,[status(thm)],[f378,f1357]) ).

fof(f1368,plain,
    ( ~ sQ20_spl
    | e0 != op(e2,e1) ),
    inference(forward_demodulation,[status(thm)],[f310,f87]) ).

fof(f1419,plain,
    ( ~ sQ19_spl
    | e3 != op(e1,e2) ),
    inference(forward_demodulation,[status(thm)],[f306,f109]) ).

fof(f1427,plain,
    ( ~ sQ32_spl
    | e0 != op(e2,e3) ),
    inference(forward_demodulation,[status(thm)],[f349,f116]) ).

fof(f1437,plain,
    ( ~ sQ39_spl
    | e3 != op(e3,e1) ),
    inference(forward_demodulation,[status(thm)],[f371,f89]) ).

fof(f1463,plain,
    ( sQ87_spl
    | ~ sQ1_spl
    | e3 != op(e0,e1) ),
    inference(forward_demodulation,[status(thm)],[f248,f640]) ).

fof(f1465,plain,
    ( sQ66_spl
    | ~ sQ41_spl
    | e0 != op(e2,e1) ),
    inference(forward_demodulation,[status(thm)],[f378,f557]) ).

fof(f1467,plain,
    ( sQ77_spl
    | ~ sQ1_spl
    | ~ sQ6_spl
    | e3 != op(e2,e1) ),
    inference(forward_demodulation,[status(thm)],[f264,f1140]) ).

fof(f1468,plain,
    ( sQ77_spl
    | ~ sQ1_spl
    | ~ sQ6_spl
    | ~ sQ39_spl
    | e3 != e3 ),
    inference(forward_demodulation,[status(thm)],[f371,f1467]) ).

fof(f1469,plain,
    ( sQ77_spl
    | ~ sQ1_spl
    | ~ sQ6_spl
    | ~ sQ39_spl
    | $false ),
    inference(trivial_equality_resolution,[status(thm)],[f1468]) ).

fof(f1470,plain,
    ( sQ77_spl
    | ~ sQ1_spl
    | ~ sQ6_spl
    | ~ sQ39_spl ),
    inference(contradiction_clause,[status(thm)],[f1469]) ).

fof(f1474,plain,
    ( sQ87_spl
    | ~ sQ1_spl
    | ~ sQ7_spl ),
    inference(split_clause,[status(thm)],[f1463,f266,f247,f638]) ).

fof(f1476,plain,
    ( ~ sQ1_spl
    | ~ sQ5_spl ),
    inference(split_clause,[status(thm)],[f1099,f260,f247]) ).

fof(f1477,plain,
    ( sQ66_spl
    | ~ sQ41_spl
    | ~ sQ36_spl ),
    inference(split_clause,[status(thm)],[f1465,f361,f377,f555]) ).

fof(f1480,plain,
    ( ~ sQ20_spl
    | ~ sQ36_spl ),
    inference(split_clause,[status(thm)],[f1368,f361,f309]) ).

fof(f1487,plain,
    ( ~ sQ36_spl
    | ~ sQ4_spl ),
    inference(split_clause,[status(thm)],[f709,f257,f361]) ).

fof(f1490,plain,
    ( ~ sQ43_spl
    | ~ sQ47_spl ),
    inference(split_clause,[status(thm)],[f1175,f396,f383]) ).

fof(f1495,plain,
    ( ~ sQ60_spl
    | ~ sQ44_spl ),
    inference(split_clause,[status(thm)],[f846,f387,f439]) ).

fof(f1496,plain,
    ( ~ sQ32_spl
    | ~ sQ44_spl ),
    inference(split_clause,[status(thm)],[f1427,f387,f348]) ).

fof(f1512,plain,
    ( ~ sQ38_spl
    | e2 != op(e3,e1) ),
    inference(forward_demodulation,[status(thm)],[f368,f89]) ).

fof(f1534,plain,
    ( ~ sQ40_spl
    | op(e2,e0) != e0 ),
    inference(forward_demodulation,[status(thm)],[f375,f115]) ).

fof(f1557,plain,
    ( sQ84_spl
    | ~ sQ3_spl
    | e1 != op(op(e0,e3),op(e0,e0)) ),
    inference(forward_demodulation,[status(thm)],[f254,f627]) ).

fof(f1558,plain,
    ( sQ84_spl
    | ~ sQ3_spl
    | e1 != op(op(e0,e3),e3) ),
    inference(forward_demodulation,[status(thm)],[f254,f1557]) ).

fof(f1587,plain,
    ( sQ74_spl
    | ~ sQ40_spl
    | e1 != op(e2,e0) ),
    inference(forward_demodulation,[status(thm)],[f375,f587]) ).

fof(f1588,plain,
    ( sQ74_spl
    | ~ sQ40_spl
    | ~ sQ33_spl
    | e1 != e1 ),
    inference(forward_demodulation,[status(thm)],[f352,f1587]) ).

fof(f1589,plain,
    ( sQ74_spl
    | ~ sQ40_spl
    | ~ sQ33_spl
    | $false ),
    inference(trivial_equality_resolution,[status(thm)],[f1588]) ).

fof(f1590,plain,
    ( sQ74_spl
    | ~ sQ40_spl
    | ~ sQ33_spl ),
    inference(contradiction_clause,[status(thm)],[f1589]) ).

fof(f1591,plain,
    ( sQ67_spl
    | ~ sQ40_spl
    | e3 != op(op(e2,e0),op(e2,e2)) ),
    inference(forward_demodulation,[status(thm)],[f375,f560]) ).

fof(f1592,plain,
    ( sQ67_spl
    | ~ sQ40_spl
    | ~ sQ33_spl
    | e3 != op(e1,op(e2,e2)) ),
    inference(forward_demodulation,[status(thm)],[f352,f1591]) ).

fof(f1593,plain,
    ( sQ67_spl
    | ~ sQ40_spl
    | ~ sQ33_spl
    | e3 != op(e1,e0) ),
    inference(forward_demodulation,[status(thm)],[f375,f1592]) ).

fof(f1602,plain,
    ( ~ sQ4_spl
    | e0 != op(e1,e1) ),
    inference(forward_demodulation,[status(thm)],[f258,f84]) ).

fof(f1626,plain,
    ( ~ sQ23_spl
    | e3 != op(e1,e3) ),
    inference(forward_demodulation,[status(thm)],[f319,f112]) ).

fof(f1628,plain,
    ( ~ sQ30_spl
    | e2 != op(e3,e3) ),
    inference(forward_demodulation,[status(thm)],[f342,f100]) ).

fof(f1652,plain,
    ( ~ sQ16_spl
    | e0 != op(e1,e1) ),
    inference(forward_demodulation,[status(thm)],[f297,f108]) ).

fof(f1662,plain,
    ( sQ80_spl
    | ~ sQ60_spl
    | e2 != op(e3,e0) ),
    inference(forward_demodulation,[status(thm)],[f440,f610]) ).

fof(f1663,plain,
    ( sQ80_spl
    | ~ sQ60_spl
    | ~ sQ50_spl
    | e2 != e2 ),
    inference(forward_demodulation,[status(thm)],[f407,f1662]) ).

fof(f1664,plain,
    ( sQ80_spl
    | ~ sQ60_spl
    | ~ sQ50_spl
    | $false ),
    inference(trivial_equality_resolution,[status(thm)],[f1663]) ).

fof(f1665,plain,
    ( sQ80_spl
    | ~ sQ60_spl
    | ~ sQ50_spl ),
    inference(contradiction_clause,[status(thm)],[f1664]) ).

fof(f1666,plain,
    ( sQ68_spl
    | ~ sQ60_spl
    | e1 != op(op(e3,e0),op(e3,e3)) ),
    inference(forward_demodulation,[status(thm)],[f440,f564]) ).

fof(f1667,plain,
    ( sQ68_spl
    | ~ sQ60_spl
    | ~ sQ50_spl
    | e1 != op(e2,op(e3,e3)) ),
    inference(forward_demodulation,[status(thm)],[f407,f1666]) ).

fof(f1668,plain,
    ( sQ68_spl
    | ~ sQ60_spl
    | ~ sQ50_spl
    | e1 != op(e2,e0) ),
    inference(forward_demodulation,[status(thm)],[f440,f1667]) ).

fof(f1669,plain,
    ( sQ68_spl
    | ~ sQ60_spl
    | ~ sQ50_spl
    | ~ sQ33_spl
    | e1 != e1 ),
    inference(forward_demodulation,[status(thm)],[f352,f1668]) ).

fof(f1670,plain,
    ( sQ68_spl
    | ~ sQ60_spl
    | ~ sQ50_spl
    | ~ sQ33_spl
    | $false ),
    inference(trivial_equality_resolution,[status(thm)],[f1669]) ).

fof(f1671,plain,
    ( sQ68_spl
    | ~ sQ60_spl
    | ~ sQ50_spl
    | ~ sQ33_spl ),
    inference(contradiction_clause,[status(thm)],[f1670]) ).

fof(f1677,plain,
    ( ~ sQ23_spl
    | ~ sQ31_spl ),
    inference(split_clause,[status(thm)],[f1626,f344,f318]) ).

fof(f1688,plain,
    ( ~ sQ9_spl
    | ~ sQ10_spl
    | e2 = e1 ),
    inference(forward_demodulation,[status(thm)],[f277,f274]) ).

fof(f1689,plain,
    ( ~ sQ9_spl
    | ~ sQ10_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f1688,f129]) ).

fof(f1690,plain,
    ( ~ sQ9_spl
    | ~ sQ10_spl ),
    inference(contradiction_clause,[status(thm)],[f1689]) ).

fof(f1732,plain,
    ( sQ84_spl
    | ~ sQ3_spl
    | ~ sQ14_spl
    | e1 != op(e2,e3) ),
    inference(forward_demodulation,[status(thm)],[f290,f1558]) ).

fof(f1735,plain,
    ( sQ75_spl
    | ~ sQ61_spl
    | e0 != op(op(e3,e1),op(e3,e3)) ),
    inference(forward_demodulation,[status(thm)],[f443,f591]) ).

fof(f1736,plain,
    ( sQ75_spl
    | ~ sQ61_spl
    | e0 != op(op(e3,e1),e1) ),
    inference(forward_demodulation,[status(thm)],[f443,f1735]) ).

fof(f1766,plain,
    ( sQ75_spl
    | ~ sQ61_spl
    | ~ sQ54_spl
    | e0 != op(e2,e1) ),
    inference(backward_demodulation,[status(thm)],[f420,f1736]) ).

fof(f1767,plain,
    ( sQ75_spl
    | ~ sQ61_spl
    | ~ sQ54_spl
    | ~ sQ36_spl ),
    inference(split_clause,[status(thm)],[f1766,f361,f419,f442,f589]) ).

fof(f1784,plain,
    ( ~ sQ38_spl
    | ~ sQ54_spl ),
    inference(split_clause,[status(thm)],[f1512,f419,f367]) ).

fof(f1786,plain,
    ( ~ sQ9_spl
    | ~ sQ57_spl ),
    inference(split_clause,[status(thm)],[f769,f429,f273]) ).

fof(f1807,plain,
    ( ~ sQ62_spl
    | op(e0,e3) != e2 ),
    inference(backward_demodulation,[status(thm)],[f446,f98]) ).

fof(f1889,plain,
    ( sQ64_spl
    | ~ sQ62_spl
    | e0 != op(e3,e2) ),
    inference(forward_demodulation,[status(thm)],[f446,f550]) ).

fof(f1890,plain,
    ( sQ64_spl
    | ~ sQ62_spl
    | ~ sQ56_spl
    | e0 != e0 ),
    inference(forward_demodulation,[status(thm)],[f427,f1889]) ).

fof(f1891,plain,
    ( sQ64_spl
    | ~ sQ62_spl
    | ~ sQ56_spl
    | $false ),
    inference(trivial_equality_resolution,[status(thm)],[f1890]) ).

fof(f1892,plain,
    ( sQ64_spl
    | ~ sQ62_spl
    | ~ sQ56_spl ),
    inference(contradiction_clause,[status(thm)],[f1891]) ).

fof(f1894,plain,
    ( sQ68_spl
    | ~ sQ62_spl
    | e1 != op(op(e3,e2),op(e3,e3)) ),
    inference(forward_demodulation,[status(thm)],[f446,f564]) ).

fof(f1895,plain,
    ( sQ68_spl
    | ~ sQ62_spl
    | ~ sQ56_spl
    | e1 != op(e0,op(e3,e3)) ),
    inference(forward_demodulation,[status(thm)],[f427,f1894]) ).

fof(f1896,plain,
    ( sQ68_spl
    | ~ sQ62_spl
    | ~ sQ56_spl
    | e1 != op(e0,e2) ),
    inference(forward_demodulation,[status(thm)],[f446,f1895]) ).

fof(f1897,plain,
    ( sQ68_spl
    | ~ sQ62_spl
    | ~ sQ56_spl
    | ~ sQ9_spl
    | e1 != e1 ),
    inference(forward_demodulation,[status(thm)],[f274,f1896]) ).

fof(f1898,plain,
    ( sQ68_spl
    | ~ sQ62_spl
    | ~ sQ56_spl
    | ~ sQ9_spl
    | $false ),
    inference(trivial_equality_resolution,[status(thm)],[f1897]) ).

fof(f1899,plain,
    ( sQ68_spl
    | ~ sQ62_spl
    | ~ sQ56_spl
    | ~ sQ9_spl ),
    inference(contradiction_clause,[status(thm)],[f1898]) ).

fof(f1909,plain,
    ( ~ sQ16_spl
    | ~ sQ20_spl ),
    inference(split_clause,[status(thm)],[f1652,f309,f296]) ).

fof(f1910,plain,
    ( ~ sQ26_spl
    | op(e1,e1) != e2 ),
    inference(forward_demodulation,[status(thm)],[f329,f111]) ).

fof(f1911,plain,
    ( ~ sQ38_spl
    | op(e1,e1) != e2 ),
    inference(forward_demodulation,[status(thm)],[f368,f87]) ).

fof(f1912,plain,
    ( ~ sQ4_spl
    | ~ sQ20_spl ),
    inference(split_clause,[status(thm)],[f1602,f309,f257]) ).

fof(f1918,plain,
    ( sQ78_spl
    | ~ sQ41_spl
    | ~ sQ39_spl
    | ~ sQ52_spl ),
    inference(split_clause,[status(thm)],[f1358,f413,f370,f377,f600]) ).

fof(f1920,plain,
    ( ~ sQ30_spl
    | ~ sQ46_spl ),
    inference(split_clause,[status(thm)],[f1071,f393,f341]) ).

fof(f1923,plain,
    ( ~ sQ62_spl
    | ~ sQ14_spl ),
    inference(split_clause,[status(thm)],[f1807,f289,f445]) ).

fof(f1924,plain,
    ( ~ sQ26_spl
    | ~ sQ22_spl ),
    inference(split_clause,[status(thm)],[f1910,f315,f328]) ).

fof(f1925,plain,
    ( ~ sQ38_spl
    | ~ sQ22_spl ),
    inference(split_clause,[status(thm)],[f1911,f315,f367]) ).

fof(f1927,plain,
    ( ~ sQ30_spl
    | ~ sQ62_spl ),
    inference(split_clause,[status(thm)],[f1628,f445,f341]) ).

fof(f1928,plain,
    ( ~ sQ52_spl
    | ~ sQ4_spl ),
    inference(split_clause,[status(thm)],[f1121,f257,f413]) ).

fof(f1929,plain,
    ( ~ sQ58_spl
    | ~ sQ62_spl ),
    inference(split_clause,[status(thm)],[f1271,f445,f432]) ).

fof(f2033,plain,
    ( ~ sQ54_spl
    | e2 != op(e3,e3) ),
    inference(forward_demodulation,[status(thm)],[f420,f124]) ).

fof(f2037,plain,
    ( ~ sQ35_spl
    | e3 != op(e2,e3) ),
    inference(forward_demodulation,[status(thm)],[f358,f116]) ).

fof(f2045,plain,
    ( ~ sQ7_spl
    | e3 != op(e3,e1) ),
    inference(forward_demodulation,[status(thm)],[f267,f86]) ).

fof(f2087,plain,
    ( ~ sQ87_spl
    | ~ sQ1_spl
    | e3 = op(e0,e1) ),
    inference(forward_demodulation,[status(thm)],[f248,f639]) ).

fof(f2101,plain,
    ( sQ70_spl
    | ~ sQ20_spl
    | e3 != op(op(e1,e0),op(e1,e1)) ),
    inference(forward_demodulation,[status(thm)],[f310,f571]) ).

fof(f2102,plain,
    ( sQ70_spl
    | ~ sQ20_spl
    | ~ sQ18_spl
    | e3 != op(e2,op(e1,e1)) ),
    inference(forward_demodulation,[status(thm)],[f303,f2101]) ).

fof(f2103,plain,
    ( sQ70_spl
    | ~ sQ20_spl
    | ~ sQ18_spl
    | e3 != op(e2,e0) ),
    inference(forward_demodulation,[status(thm)],[f310,f2102]) ).

fof(f2104,plain,
    ( sQ70_spl
    | ~ sQ20_spl
    | ~ sQ18_spl
    | ~ sQ35_spl
    | e3 != e3 ),
    inference(forward_demodulation,[status(thm)],[f358,f2103]) ).

fof(f2105,plain,
    ( sQ70_spl
    | ~ sQ20_spl
    | ~ sQ18_spl
    | ~ sQ35_spl
    | $false ),
    inference(trivial_equality_resolution,[status(thm)],[f2104]) ).

fof(f2106,plain,
    ( sQ70_spl
    | ~ sQ20_spl
    | ~ sQ18_spl
    | ~ sQ35_spl ),
    inference(contradiction_clause,[status(thm)],[f2105]) ).

fof(f2110,plain,
    ( sQ81_spl
    | ~ sQ20_spl
    | e2 != op(e1,e0) ),
    inference(forward_demodulation,[status(thm)],[f310,f614]) ).

fof(f2111,plain,
    ( sQ81_spl
    | ~ sQ20_spl
    | ~ sQ18_spl
    | e2 != e2 ),
    inference(forward_demodulation,[status(thm)],[f303,f2110]) ).

fof(f2112,plain,
    ( sQ81_spl
    | ~ sQ20_spl
    | ~ sQ18_spl
    | $false ),
    inference(trivial_equality_resolution,[status(thm)],[f2111]) ).

fof(f2113,plain,
    ( sQ81_spl
    | ~ sQ20_spl
    | ~ sQ18_spl ),
    inference(contradiction_clause,[status(thm)],[f2112]) ).

fof(f2114,plain,
    ( ~ sQ54_spl
    | op(e1,e1) != e2 ),
    inference(forward_demodulation,[status(thm)],[f420,f88]) ).

fof(f2117,plain,
    ( ~ sQ10_spl
    | op(e0,e0) != e2 ),
    inference(forward_demodulation,[status(thm)],[f277,f103]) ).

fof(f2122,plain,
    ( ~ sQ40_spl
    | op(e1,e2) != e0 ),
    inference(forward_demodulation,[status(thm)],[f375,f93]) ).

fof(f2125,plain,
    ( ~ sQ39_spl
    | ~ sQ55_spl ),
    inference(split_clause,[status(thm)],[f1437,f422,f370]) ).

fof(f2127,plain,
    ( ~ sQ19_spl
    | ~ sQ27_spl ),
    inference(split_clause,[status(thm)],[f1419,f331,f305]) ).

fof(f2132,plain,
    ( ~ sQ40_spl
    | ~ sQ32_spl ),
    inference(split_clause,[status(thm)],[f1534,f348,f374]) ).

fof(f2143,plain,
    ( sQ84_spl
    | ~ sQ3_spl
    | ~ sQ14_spl
    | ~ sQ45_spl ),
    inference(split_clause,[status(thm)],[f1732,f390,f289,f253,f625]) ).

fof(f2321,plain,
    ( sQ67_spl
    | ~ sQ41_spl
    | e3 != op(op(e2,e1),op(e2,e2)) ),
    inference(forward_demodulation,[status(thm)],[f378,f560]) ).

fof(f2322,plain,
    ( sQ67_spl
    | ~ sQ41_spl
    | ~ sQ36_spl
    | e3 != op(e0,op(e2,e2)) ),
    inference(forward_demodulation,[status(thm)],[f362,f2321]) ).

fof(f2323,plain,
    ( sQ67_spl
    | ~ sQ41_spl
    | ~ sQ36_spl
    | e3 != op(e0,e1) ),
    inference(forward_demodulation,[status(thm)],[f378,f2322]) ).

fof(f2324,plain,
    ( sQ67_spl
    | ~ sQ41_spl
    | ~ sQ36_spl
    | ~ sQ87_spl
    | ~ sQ1_spl
    | e3 != e3 ),
    inference(forward_demodulation,[status(thm)],[f2087,f2323]) ).

fof(f2325,plain,
    ( sQ67_spl
    | ~ sQ41_spl
    | ~ sQ36_spl
    | ~ sQ87_spl
    | ~ sQ1_spl
    | $false ),
    inference(trivial_equality_resolution,[status(thm)],[f2324]) ).

fof(f2326,plain,
    ( sQ67_spl
    | ~ sQ41_spl
    | ~ sQ36_spl
    | ~ sQ87_spl
    | ~ sQ1_spl ),
    inference(contradiction_clause,[status(thm)],[f2325]) ).

fof(f2333,plain,
    ( ~ sQ10_spl
    | ~ sQ2_spl ),
    inference(split_clause,[status(thm)],[f2117,f250,f276]) ).

fof(f2339,plain,
    ( ~ sQ54_spl
    | ~ sQ22_spl ),
    inference(split_clause,[status(thm)],[f2114,f315,f419]) ).

fof(f2340,plain,
    ( ~ sQ54_spl
    | ~ sQ62_spl ),
    inference(split_clause,[status(thm)],[f2033,f445,f419]) ).

fof(f2369,plain,
    ( sQ71_spl
    | ~ sQ43_spl
    | e1 != op(op(e2,op(e2,e2)),e3) ),
    inference(backward_demodulation,[status(thm)],[f384,f575]) ).

fof(f2374,plain,
    ( sQ71_spl
    | ~ sQ43_spl
    | e1 != op(op(e2,e3),e3) ),
    inference(forward_demodulation,[status(thm)],[f384,f2369]) ).

fof(f2460,plain,
    ( ~ sQ5_spl
    | e1 != op(e2,e1) ),
    inference(forward_demodulation,[status(thm)],[f261,f85]) ).

fof(f2507,plain,
    ( ~ sQ5_spl
    | e1 != op(e0,e2) ),
    inference(forward_demodulation,[status(thm)],[f261,f105]) ).

fof(f2531,plain,
    ( sQ82_spl
    | ~ sQ3_spl
    | e2 != op(e0,e3) ),
    inference(forward_demodulation,[status(thm)],[f254,f619]) ).

fof(f2532,plain,
    ( sQ82_spl
    | ~ sQ3_spl
    | ~ sQ14_spl
    | e2 != e2 ),
    inference(forward_demodulation,[status(thm)],[f290,f2531]) ).

fof(f2533,plain,
    ( sQ82_spl
    | ~ sQ3_spl
    | ~ sQ14_spl
    | $false ),
    inference(trivial_equality_resolution,[status(thm)],[f2532]) ).

fof(f2534,plain,
    ( sQ82_spl
    | ~ sQ3_spl
    | ~ sQ14_spl ),
    inference(contradiction_clause,[status(thm)],[f2533]) ).

fof(f2614,plain,
    ( sQ71_spl
    | ~ sQ43_spl
    | ~ sQ44_spl
    | e1 != op(e0,e3) ),
    inference(backward_demodulation,[status(thm)],[f388,f2374]) ).

fof(f2616,plain,
    ( sQ71_spl
    | ~ sQ43_spl
    | ~ sQ44_spl
    | ~ sQ13_spl ),
    inference(split_clause,[status(thm)],[f2614,f286,f387,f383,f573]) ).

fof(f2620,plain,
    ( sQ66_spl
    | ~ sQ43_spl
    | e0 != op(e2,e3) ),
    inference(forward_demodulation,[status(thm)],[f384,f557]) ).

fof(f2621,plain,
    ( sQ66_spl
    | ~ sQ43_spl
    | ~ sQ44_spl
    | e0 != e0 ),
    inference(forward_demodulation,[status(thm)],[f388,f2620]) ).

fof(f2622,plain,
    ( sQ66_spl
    | ~ sQ43_spl
    | ~ sQ44_spl
    | $false ),
    inference(trivial_equality_resolution,[status(thm)],[f2621]) ).

fof(f2623,plain,
    ( sQ66_spl
    | ~ sQ43_spl
    | ~ sQ44_spl ),
    inference(contradiction_clause,[status(thm)],[f2622]) ).

fof(f2628,plain,
    ( ~ sQ40_spl
    | ~ sQ24_spl ),
    inference(split_clause,[status(thm)],[f2122,f322,f374]) ).

fof(f2631,plain,
    ( ~ sQ29_spl
    | ~ sQ31_spl
    | e3 = e1 ),
    inference(forward_demodulation,[status(thm)],[f345,f339]) ).

fof(f2632,plain,
    ( ~ sQ29_spl
    | ~ sQ31_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f2631,f130]) ).

fof(f2633,plain,
    ( ~ sQ29_spl
    | ~ sQ31_spl ),
    inference(contradiction_clause,[status(thm)],[f2632]) ).

fof(f2634,plain,
    ( sQ67_spl
    | ~ sQ40_spl
    | ~ sQ33_spl
    | ~ sQ19_spl ),
    inference(split_clause,[status(thm)],[f1593,f305,f351,f374,f558]) ).

fof(f2639,plain,
    ( ~ sQ35_spl
    | ~ sQ47_spl ),
    inference(split_clause,[status(thm)],[f2037,f396,f357]) ).

fof(f2640,plain,
    ( ~ sQ7_spl
    | ~ sQ55_spl ),
    inference(split_clause,[status(thm)],[f2045,f422,f266]) ).

fof(f2641,plain,
    ( ~ sQ5_spl
    | ~ sQ9_spl ),
    inference(split_clause,[status(thm)],[f2507,f273,f260]) ).

fof(f2642,plain,
    ( ~ sQ5_spl
    | ~ sQ37_spl ),
    inference(split_clause,[status(thm)],[f2460,f364,f260]) ).

fof(f2697,plain,
    ( sQ76_spl
    | ~ sQ2_spl
    | e1 != op(e0,e2) ),
    inference(forward_demodulation,[status(thm)],[f251,f595]) ).

fof(f2698,plain,
    ( sQ76_spl
    | ~ sQ2_spl
    | ~ sQ9_spl
    | e1 != e1 ),
    inference(forward_demodulation,[status(thm)],[f274,f2697]) ).

fof(f2699,plain,
    ( sQ76_spl
    | ~ sQ2_spl
    | ~ sQ9_spl
    | $false ),
    inference(trivial_equality_resolution,[status(thm)],[f2698]) ).

fof(f2700,plain,
    ( sQ76_spl
    | ~ sQ2_spl
    | ~ sQ9_spl ),
    inference(contradiction_clause,[status(thm)],[f2699]) ).

fof(f2701,plain,
    ( sQ77_spl
    | ~ sQ2_spl
    | e3 != op(op(e0,e2),op(e0,e0)) ),
    inference(forward_demodulation,[status(thm)],[f251,f598]) ).

fof(f2702,plain,
    ( sQ77_spl
    | ~ sQ2_spl
    | ~ sQ9_spl
    | e3 != op(e1,op(e0,e0)) ),
    inference(forward_demodulation,[status(thm)],[f274,f2701]) ).

fof(f2703,plain,
    ( sQ77_spl
    | ~ sQ2_spl
    | ~ sQ9_spl
    | e3 != op(e1,e2) ),
    inference(forward_demodulation,[status(thm)],[f251,f2702]) ).

fof(f2756,plain,
    ( sQ77_spl
    | ~ sQ2_spl
    | ~ sQ9_spl
    | ~ sQ27_spl
    | e3 != e3 ),
    inference(forward_demodulation,[status(thm)],[f332,f2703]) ).

fof(f2757,plain,
    ( sQ77_spl
    | ~ sQ2_spl
    | ~ sQ9_spl
    | ~ sQ27_spl
    | $false ),
    inference(trivial_equality_resolution,[status(thm)],[f2756]) ).

fof(f2758,plain,
    ( sQ77_spl
    | ~ sQ2_spl
    | ~ sQ9_spl
    | ~ sQ27_spl ),
    inference(contradiction_clause,[status(thm)],[f2757]) ).

fof(f2759,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f256,f269,f282,f295,f308,f321,f334,f347,f360,f373,f386,f399,f412,f425,f451,f452,f453,f454,f455,f456,f457,f459,f461,f462,f463,f465,f466,f467,f468,f469,f471,f472,f473,f474,f475,f478,f479,f481,f482,f483,f484,f488,f490,f491,f492,f493,f495,f496,f497,f498,f501,f502,f503,f505,f508,f509,f511,f512,f513,f514,f517,f518,f519,f520,f522,f523,f526,f528,f529,f530,f533,f534,f535,f536,f538,f539,f540,f541,f543,f547,f561,f565,f576,f588,f599,f611,f615,f616,f620,f624,f628,f637,f647,f651,f658,f662,f665,f670,f675,f682,f696,f707,f713,f727,f742,f757,f761,f773,f780,f785,f788,f792,f803,f811,f866,f876,f902,f903,f910,f911,f959,f960,f961,f967,f968,f971,f972,f984,f985,f999,f1040,f1041,f1043,f1060,f1061,f1062,f1063,f1064,f1065,f1067,f1068,f1069,f1070,f1108,f1111,f1132,f1133,f1138,f1167,f1270,f1273,f1276,f1277,f1280,f1281,f1282,f1305,f1309,f1310,f1353,f1470,f1474,f1476,f1477,f1480,f1487,f1490,f1495,f1496,f1590,f1665,f1671,f1677,f1690,f1767,f1784,f1786,f1892,f1899,f1909,f1912,f1918,f1920,f1923,f1924,f1925,f1927,f1928,f1929,f2106,f2113,f2125,f2127,f2132,f2143,f2326,f2333,f2339,f2340,f2534,f2616,f2623,f2628,f2633,f2634,f2639,f2640,f2641,f2642,f2700,f2758]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : ALG136+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.03  % Command  : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.35  % Computer : n014.cluster.edu
% 0.08/0.35  % Model    : x86_64 x86_64
% 0.08/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35  % Memory   : 8046.5625MB
% 0.08/0.35  % OS       : Linux 6.8.0-71-generic
% 0.08/0.35  % CPULimit : 300
% 0.08/0.35  % WCLimit  : 300
% 0.08/0.35  % DateTime : Mon Sep 21 12:57:49 UTC 2026
% 0.08/0.35  % CPUTime  : 
% 0.08/0.37  % Drodi V4.1.1
% 0.08/0.43  % Refutation found
% 0.08/0.43  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.08/0.43  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.12/0.47  % Elapsed time: 0.111296 seconds
% 0.12/0.47  % CPU time: 0.469977 seconds
% 0.12/0.47  % Total memory used: 17.040 MB
% 0.12/0.47  % Net memory used: 16.837 MB
%------------------------------------------------------------------------------