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iProver---3.9.4.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : ALG142+1 : TPTP v9.3.1. Released v2.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM

% Computer : n015.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 : Fri Sep 25 12:53:34 PM UTC 2026

% Result   : Unsatisfiable 2.68s 1.27s
% Output   : CNFRefutation 2.68s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   19
% Syntax   : Number of formulae    :  297 (  86 unt;   4 def)
%            Number of atoms       : 1120 (1032 equ)
%            Maximal formula atoms :  128 (   3 avg)
%            Number of connectives : 1204 ( 381   ~; 663   |; 160   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   49 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of types       :    0 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    6 (   4 usr;   5 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   4 con; 0-2 aty)
%            Number of variables   :    0 (   0 sgn   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/sandbox/benchmark/theBenchmark.p',ax1) ).

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/sandbox/benchmark/theBenchmark.p',ax2) ).

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/sandbox/benchmark/theBenchmark.p',ax3) ).

fof(f4,axiom,
    ( e2 != e3
    & e1 != e3
    & e1 != e2
    & e0 != e3
    & e0 != e2
    & e0 != e1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).

fof(f5,axiom,
    ( ( ( op(e3,e3) != e3
        & op(e3,e3) = e3 )
      | ( op(e2,e3) != e2
        & op(e2,e2) = e3 )
      | ( op(e1,e3) != e1
        & op(e1,e1) = e3 )
      | ( op(e0,e3) != e0
        & op(e0,e0) = e3 ) )
    & ( ( op(e3,e2) != e3
        & op(e3,e3) = e2 )
      | ( op(e2,e2) != e2
        & op(e2,e2) = e2 )
      | ( op(e1,e2) != e1
        & op(e1,e1) = e2 )
      | ( op(e0,e2) != e0
        & op(e0,e0) = e2 ) )
    & ( ( op(e3,e1) != e3
        & op(e3,e3) = e1 )
      | ( op(e2,e1) != e2
        & op(e2,e2) = e1 )
      | ( op(e1,e1) != e1
        & op(e1,e1) = e1 )
      | ( op(e0,e1) != e0
        & op(e0,e0) = e1 ) )
    & ( ( op(e3,e0) != e3
        & op(e3,e3) = e0 )
      | ( op(e2,e0) != e2
        & op(e2,e2) = e0 )
      | ( op(e1,e0) != e1
        & op(e1,e1) = e0 )
      | ( op(e0,e0) != e0
        & op(e0,e0) = e0 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5) ).

fof(f7,axiom,
    ~ ( e3 = op(e2,e2)
      & e1 = op(op(e2,e2),e2)
      & e0 = op(e2,op(e2,e2)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax7) ).

fof(f9,axiom,
    ~ ( e3 = op(e1,e1)
      & e2 = op(op(e1,e1),e1)
      & e0 = op(e1,op(e1,e1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax9) ).

fof(f10,axiom,
    ~ ( e1 = op(e2,e2)
      & e3 = op(op(e2,e2),e2)
      & e0 = op(e2,op(e2,e2)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax10) ).

fof(f11,axiom,
    ~ ( e2 = op(e1,e1)
      & e3 = op(op(e1,e1),e1)
      & e0 = op(e1,op(e1,e1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax11) ).

fof(f13,axiom,
    ~ ( e3 = op(e2,e2)
      & e0 = op(op(e2,e2),e2)
      & e1 = op(e2,op(e2,e2)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax13) ).

fof(f15,axiom,
    ~ ( e3 = op(e0,e0)
      & e2 = op(op(e0,e0),e0)
      & e1 = op(e0,op(e0,e0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax15) ).

fof(f17,axiom,
    ~ ( e2 = op(e0,e0)
      & e3 = op(op(e0,e0),e0)
      & e1 = op(e0,op(e0,e0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax17) ).

fof(f24,axiom,
    ~ ( e1 = op(e2,e2)
      & e0 = op(op(e2,e2),e2)
      & e3 = op(e2,op(e2,e2)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax24) ).

fof(f25,axiom,
    ~ ( e2 = op(e1,e1)
      & e0 = op(op(e1,e1),e1)
      & e3 = op(e1,op(e1,e1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax25) ).

fof(f27,axiom,
    ~ ( e2 = op(e0,e0)
      & e1 = op(op(e0,e0),e0)
      & e3 = op(e0,op(e0,e0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax27) ).

fof(f31,plain,
    ( e3 != op(e2,e2)
    | e1 != op(op(e2,e2),e2)
    | e0 != op(e2,op(e2,e2)) ),
    inference(ennf_transformation,[],[f7]) ).

fof(f33,plain,
    ( e3 != op(e1,e1)
    | e2 != op(op(e1,e1),e1)
    | e0 != op(e1,op(e1,e1)) ),
    inference(ennf_transformation,[],[f9]) ).

fof(f34,plain,
    ( e1 != op(e2,e2)
    | e3 != op(op(e2,e2),e2)
    | e0 != op(e2,op(e2,e2)) ),
    inference(ennf_transformation,[],[f10]) ).

fof(f35,plain,
    ( e2 != op(e1,e1)
    | e3 != op(op(e1,e1),e1)
    | e0 != op(e1,op(e1,e1)) ),
    inference(ennf_transformation,[],[f11]) ).

fof(f37,plain,
    ( e3 != op(e2,e2)
    | e0 != op(op(e2,e2),e2)
    | e1 != op(e2,op(e2,e2)) ),
    inference(ennf_transformation,[],[f13]) ).

fof(f39,plain,
    ( op(e0,e0) != e3
    | e2 != op(op(e0,e0),e0)
    | e1 != op(e0,op(e0,e0)) ),
    inference(ennf_transformation,[],[f15]) ).

fof(f41,plain,
    ( op(e0,e0) != e2
    | e3 != op(op(e0,e0),e0)
    | e1 != op(e0,op(e0,e0)) ),
    inference(ennf_transformation,[],[f17]) ).

fof(f48,plain,
    ( e1 != op(e2,e2)
    | e0 != op(op(e2,e2),e2)
    | e3 != op(e2,op(e2,e2)) ),
    inference(ennf_transformation,[],[f24]) ).

fof(f49,plain,
    ( e2 != op(e1,e1)
    | e0 != op(op(e1,e1),e1)
    | e3 != op(e1,op(e1,e1)) ),
    inference(ennf_transformation,[],[f25]) ).

fof(f51,plain,
    ( op(e0,e0) != e2
    | e1 != op(op(e0,e0),e0)
    | e3 != op(e0,op(e0,e0)) ),
    inference(ennf_transformation,[],[f27]) ).

fof(f59,plain,
    ( ~ sP3
    | ( op(e3,e0) != e3
      & op(e3,e3) = e0 ) ),
    inference(nnf_transformation,[],[f57]) ).

fof(f60,plain,
    ( ~ sP2
    | ( op(e3,e1) != e3
      & op(e3,e3) = e1 ) ),
    inference(nnf_transformation,[],[f56]) ).

fof(f61,plain,
    ( ~ sP1
    | ( op(e3,e2) != e3
      & op(e3,e3) = e2 ) ),
    inference(nnf_transformation,[],[f55]) ).

fof(f64,plain,
    ( e3 = op(e3,e2)
    | e2 = op(e3,e2)
    | e1 = op(e3,e2)
    | e0 = op(e3,e2) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f65,plain,
    ( e3 = op(e3,e1)
    | e2 = op(e3,e1)
    | e1 = op(e3,e1)
    | e0 = op(e3,e1) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f67,plain,
    ( e3 = op(e2,e3)
    | e2 = op(e2,e3)
    | e1 = op(e2,e3)
    | e0 = op(e2,e3) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f69,plain,
    ( e3 = op(e2,e1)
    | e2 = op(e2,e1)
    | e1 = op(e2,e1)
    | e0 = op(e2,e1) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f70,plain,
    ( e3 = op(e2,e0)
    | e2 = op(e2,e0)
    | e1 = op(e2,e0)
    | e0 = op(e2,e0) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f71,plain,
    ( e3 = op(e1,e3)
    | e2 = op(e1,e3)
    | e1 = op(e1,e3)
    | e0 = op(e1,e3) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f72,plain,
    ( e3 = op(e1,e2)
    | e2 = op(e1,e2)
    | e1 = op(e1,e2)
    | e0 = op(e1,e2) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f75,plain,
    ( e3 = op(e0,e3)
    | e2 = op(e0,e3)
    | e1 = op(e0,e3)
    | e0 = op(e0,e3) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f76,plain,
    ( e3 = op(e0,e2)
    | e2 = op(e0,e2)
    | e1 = op(e0,e2)
    | e0 = op(e0,e2) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f79,plain,
    ( e3 = op(e3,e3)
    | e3 = op(e2,e3)
    | e3 = op(e1,e3)
    | e3 = op(e0,e3) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f80,plain,
    ( e3 = op(e3,e3)
    | e3 = op(e3,e2)
    | e3 = op(e3,e1)
    | e3 = op(e3,e0) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f82,plain,
    ( e2 = op(e3,e3)
    | e2 = op(e3,e2)
    | e2 = op(e3,e1)
    | e2 = op(e3,e0) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f87,plain,
    ( e3 = op(e3,e2)
    | e3 = op(e2,e2)
    | e3 = op(e1,e2)
    | e3 = op(e0,e2) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f95,plain,
    ( e3 = op(e3,e1)
    | e3 = op(e2,e1)
    | e3 = op(e1,e1)
    | e3 = op(e0,e1) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f99,plain,
    ( e1 = op(e3,e1)
    | e1 = op(e2,e1)
    | e1 = op(e1,e1)
    | e1 = op(e0,e1) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f103,plain,
    ( e3 = op(e3,e0)
    | e3 = op(e2,e0)
    | e3 = op(e1,e0)
    | op(e0,e0) = e3 ),
    inference(cnf_transformation,[],[f2]) ).

fof(f105,plain,
    ( e2 = op(e3,e0)
    | e2 = op(e2,e0)
    | e2 = op(e1,e0)
    | op(e0,e0) = e2 ),
    inference(cnf_transformation,[],[f2]) ).

fof(f109,plain,
    ( e0 = op(e3,e0)
    | e0 = op(e2,e0)
    | e0 = op(e1,e0)
    | e0 = op(e0,e0) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f111,plain,
    op(e3,e2) != op(e3,e3),
    inference(cnf_transformation,[],[f3]) ).

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

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

fof(f115,plain,
    op(e3,e0) != op(e3,e2),
    inference(cnf_transformation,[],[f3]) ).

fof(f117,plain,
    op(e2,e2) != op(e2,e3),
    inference(cnf_transformation,[],[f3]) ).

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

fof(f119,plain,
    op(e2,e1) != op(e2,e2),
    inference(cnf_transformation,[],[f3]) ).

fof(f120,plain,
    op(e2,e0) != op(e2,e3),
    inference(cnf_transformation,[],[f3]) ).

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

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

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

fof(f125,plain,
    op(e1,e1) != op(e1,e2),
    inference(cnf_transformation,[],[f3]) ).

fof(f126,plain,
    op(e1,e0) != op(e1,e3),
    inference(cnf_transformation,[],[f3]) ).

fof(f128,plain,
    op(e1,e0) != op(e1,e1),
    inference(cnf_transformation,[],[f3]) ).

fof(f129,plain,
    op(e0,e2) != op(e0,e3),
    inference(cnf_transformation,[],[f3]) ).

fof(f130,plain,
    op(e0,e1) != op(e0,e3),
    inference(cnf_transformation,[],[f3]) ).

fof(f132,plain,
    op(e0,e0) != op(e0,e3),
    inference(cnf_transformation,[],[f3]) ).

fof(f133,plain,
    op(e0,e0) != op(e0,e2),
    inference(cnf_transformation,[],[f3]) ).

fof(f134,plain,
    op(e0,e0) != op(e0,e1),
    inference(cnf_transformation,[],[f3]) ).

fof(f135,plain,
    op(e2,e3) != op(e3,e3),
    inference(cnf_transformation,[],[f3]) ).

fof(f136,plain,
    op(e1,e3) != op(e3,e3),
    inference(cnf_transformation,[],[f3]) ).

fof(f137,plain,
    op(e1,e3) != op(e2,e3),
    inference(cnf_transformation,[],[f3]) ).

fof(f138,plain,
    op(e0,e3) != op(e3,e3),
    inference(cnf_transformation,[],[f3]) ).

fof(f139,plain,
    op(e0,e3) != op(e2,e3),
    inference(cnf_transformation,[],[f3]) ).

fof(f140,plain,
    op(e0,e3) != op(e1,e3),
    inference(cnf_transformation,[],[f3]) ).

fof(f141,plain,
    op(e2,e2) != op(e3,e2),
    inference(cnf_transformation,[],[f3]) ).

fof(f142,plain,
    op(e1,e2) != op(e3,e2),
    inference(cnf_transformation,[],[f3]) ).

fof(f143,plain,
    op(e1,e2) != op(e2,e2),
    inference(cnf_transformation,[],[f3]) ).

fof(f144,plain,
    op(e0,e2) != op(e3,e2),
    inference(cnf_transformation,[],[f3]) ).

fof(f147,plain,
    op(e2,e1) != op(e3,e1),
    inference(cnf_transformation,[],[f3]) ).

fof(f148,plain,
    op(e1,e1) != op(e3,e1),
    inference(cnf_transformation,[],[f3]) ).

fof(f149,plain,
    op(e1,e1) != op(e2,e1),
    inference(cnf_transformation,[],[f3]) ).

fof(f152,plain,
    op(e0,e1) != op(e1,e1),
    inference(cnf_transformation,[],[f3]) ).

fof(f156,plain,
    op(e0,e0) != op(e3,e0),
    inference(cnf_transformation,[],[f3]) ).

fof(f157,plain,
    op(e0,e0) != op(e2,e0),
    inference(cnf_transformation,[],[f3]) ).

fof(f158,plain,
    op(e0,e0) != op(e1,e0),
    inference(cnf_transformation,[],[f3]) ).

fof(f159,plain,
    e2 != e3,
    inference(cnf_transformation,[],[f4]) ).

fof(f160,plain,
    e1 != e3,
    inference(cnf_transformation,[],[f4]) ).

fof(f161,plain,
    e1 != e2,
    inference(cnf_transformation,[],[f4]) ).

fof(f162,plain,
    e0 != e3,
    inference(cnf_transformation,[],[f4]) ).

fof(f163,plain,
    e0 != e2,
    inference(cnf_transformation,[],[f4]) ).

fof(f164,plain,
    e0 != e1,
    inference(cnf_transformation,[],[f4]) ).

fof(f165,plain,
    ( ~ sP3
    | e3 != op(e3,e0) ),
    inference(cnf_transformation,[],[f59]) ).

fof(f166,plain,
    ( ~ sP3
    | e0 = op(e3,e3) ),
    inference(cnf_transformation,[],[f59]) ).

fof(f167,plain,
    ( ~ sP2
    | e3 != op(e3,e1) ),
    inference(cnf_transformation,[],[f60]) ).

fof(f168,plain,
    ( ~ sP2
    | e1 = op(e3,e3) ),
    inference(cnf_transformation,[],[f60]) ).

fof(f169,plain,
    ( ~ sP1
    | e3 != op(e3,e2) ),
    inference(cnf_transformation,[],[f61]) ).

fof(f170,plain,
    ( ~ sP1
    | e2 = op(e3,e3) ),
    inference(cnf_transformation,[],[f61]) ).

fof(f176,plain,
    ( sP0
    | e3 = op(e2,e2)
    | e3 = op(e1,e1)
    | e0 != op(e0,e3) ),
    inference(cnf_transformation,[],[f58]) ).

fof(f178,plain,
    ( sP0
    | e3 = op(e2,e2)
    | e1 != op(e1,e3)
    | op(e0,e0) = e3 ),
    inference(cnf_transformation,[],[f58]) ).

fof(f179,plain,
    ( sP0
    | e2 != op(e2,e3)
    | e3 = op(e1,e1)
    | op(e0,e0) = e3 ),
    inference(cnf_transformation,[],[f58]) ).

fof(f180,plain,
    ( sP0
    | e3 = op(e2,e2)
    | e3 = op(e1,e1)
    | op(e0,e0) = e3 ),
    inference(cnf_transformation,[],[f58]) ).

fof(f183,plain,
    ( sP1
    | e2 != op(e2,e2)
    | e2 = op(e1,e1)
    | e0 != op(e0,e2) ),
    inference(cnf_transformation,[],[f58]) ).

fof(f184,plain,
    ( sP1
    | e2 = op(e2,e2)
    | e2 = op(e1,e1)
    | e0 != op(e0,e2) ),
    inference(cnf_transformation,[],[f58]) ).

fof(f185,plain,
    ( sP1
    | e2 != op(e2,e2)
    | e1 != op(e1,e2)
    | op(e0,e0) = e2 ),
    inference(cnf_transformation,[],[f58]) ).

fof(f186,plain,
    ( sP1
    | e2 = op(e2,e2)
    | e1 != op(e1,e2)
    | op(e0,e0) = e2 ),
    inference(cnf_transformation,[],[f58]) ).

fof(f187,plain,
    ( sP1
    | e2 != op(e2,e2)
    | e2 = op(e1,e1)
    | op(e0,e0) = e2 ),
    inference(cnf_transformation,[],[f58]) ).

fof(f188,plain,
    ( sP1
    | e2 = op(e2,e2)
    | e2 = op(e1,e1)
    | op(e0,e0) = e2 ),
    inference(cnf_transformation,[],[f58]) ).

fof(f193,plain,
    ( sP2
    | e2 != op(e2,e1)
    | e1 != op(e1,e1)
    | op(e0,e0) = e1 ),
    inference(cnf_transformation,[],[f58]) ).

fof(f194,plain,
    ( sP2
    | e1 = op(e2,e2)
    | e1 != op(e1,e1)
    | op(e0,e0) = e1 ),
    inference(cnf_transformation,[],[f58]) ).

fof(f195,plain,
    ( sP2
    | e2 != op(e2,e1)
    | e1 = op(e1,e1)
    | op(e0,e0) = e1 ),
    inference(cnf_transformation,[],[f58]) ).

fof(f196,plain,
    ( sP2
    | e1 = op(e2,e2)
    | e1 = op(e1,e1)
    | op(e0,e0) = e1 ),
    inference(cnf_transformation,[],[f58]) ).

fof(f199,plain,
    ( sP3
    | e2 != op(e2,e0)
    | e0 = op(e1,e1)
    | e0 != op(e0,e0) ),
    inference(cnf_transformation,[],[f58]) ).

fof(f200,plain,
    ( sP3
    | e0 = op(e2,e2)
    | e0 = op(e1,e1)
    | e0 != op(e0,e0) ),
    inference(cnf_transformation,[],[f58]) ).

fof(f203,plain,
    ( sP3
    | e2 != op(e2,e0)
    | e0 = op(e1,e1)
    | e0 = op(e0,e0) ),
    inference(cnf_transformation,[],[f58]) ).

fof(f204,plain,
    ( sP3
    | e0 = op(e2,e2)
    | e0 = op(e1,e1)
    | e0 = op(e0,e0) ),
    inference(cnf_transformation,[],[f58]) ).

fof(f206,plain,
    ( e3 != op(e2,e2)
    | e1 != op(op(e2,e2),e2)
    | e0 != op(e2,op(e2,e2)) ),
    inference(cnf_transformation,[],[f31]) ).

fof(f208,plain,
    ( e3 != op(e1,e1)
    | e2 != op(op(e1,e1),e1)
    | e0 != op(e1,op(e1,e1)) ),
    inference(cnf_transformation,[],[f33]) ).

fof(f209,plain,
    ( e1 != op(e2,e2)
    | e3 != op(op(e2,e2),e2)
    | e0 != op(e2,op(e2,e2)) ),
    inference(cnf_transformation,[],[f34]) ).

fof(f210,plain,
    ( e2 != op(e1,e1)
    | e3 != op(op(e1,e1),e1)
    | e0 != op(e1,op(e1,e1)) ),
    inference(cnf_transformation,[],[f35]) ).

fof(f212,plain,
    ( e3 != op(e2,e2)
    | e0 != op(op(e2,e2),e2)
    | e1 != op(e2,op(e2,e2)) ),
    inference(cnf_transformation,[],[f37]) ).

fof(f214,plain,
    ( op(e0,e0) != e3
    | e2 != op(op(e0,e0),e0)
    | e1 != op(e0,op(e0,e0)) ),
    inference(cnf_transformation,[],[f39]) ).

fof(f216,plain,
    ( op(e0,e0) != e2
    | e3 != op(op(e0,e0),e0)
    | e1 != op(e0,op(e0,e0)) ),
    inference(cnf_transformation,[],[f41]) ).

fof(f223,plain,
    ( e1 != op(e2,e2)
    | e0 != op(op(e2,e2),e2)
    | e3 != op(e2,op(e2,e2)) ),
    inference(cnf_transformation,[],[f48]) ).

fof(f224,plain,
    ( e2 != op(e1,e1)
    | e0 != op(op(e1,e1),e1)
    | e3 != op(e1,op(e1,e1)) ),
    inference(cnf_transformation,[],[f49]) ).

fof(f226,plain,
    ( op(e0,e0) != e2
    | e1 != op(op(e0,e0),e0)
    | e3 != op(e0,op(e0,e0)) ),
    inference(cnf_transformation,[],[f51]) ).

tcf(c_51,plain,
    ( ( op(e0,e2) = e3 )
    | ( op(e0,e2) = e2 )
    | ( op(e0,e2) = e1 )
    | ( op(e0,e2) = e0 ) ),
    inference(cnf_transformation,[],[f76]) ).

tcf(c_52,plain,
    ( ( op(e0,e3) = e3 )
    | ( op(e0,e3) = e2 )
    | ( op(e0,e3) = e1 )
    | ( op(e0,e3) = e0 ) ),
    inference(cnf_transformation,[],[f75]) ).

tcf(c_55,plain,
    ( ( op(e1,e2) = e3 )
    | ( op(e1,e2) = e2 )
    | ( op(e1,e2) = e1 )
    | ( op(e1,e2) = e0 ) ),
    inference(cnf_transformation,[],[f72]) ).

tcf(c_56,plain,
    ( ( op(e1,e3) = e3 )
    | ( op(e1,e3) = e2 )
    | ( op(e1,e3) = e1 )
    | ( op(e1,e3) = e0 ) ),
    inference(cnf_transformation,[],[f71]) ).

tcf(c_57,plain,
    ( ( op(e2,e0) = e3 )
    | ( op(e2,e0) = e2 )
    | ( op(e2,e0) = e1 )
    | ( op(e2,e0) = e0 ) ),
    inference(cnf_transformation,[],[f70]) ).

tcf(c_58,plain,
    ( ( op(e2,e1) = e3 )
    | ( op(e2,e1) = e2 )
    | ( op(e2,e1) = e1 )
    | ( op(e2,e1) = e0 ) ),
    inference(cnf_transformation,[],[f69]) ).

tcf(c_60,plain,
    ( ( op(e2,e3) = e3 )
    | ( op(e2,e3) = e2 )
    | ( op(e2,e3) = e1 )
    | ( op(e2,e3) = e0 ) ),
    inference(cnf_transformation,[],[f67]) ).

tcf(c_62,plain,
    ( ( op(e3,e1) = e3 )
    | ( op(e3,e1) = e2 )
    | ( op(e3,e1) = e1 )
    | ( op(e3,e1) = e0 ) ),
    inference(cnf_transformation,[],[f65]) ).

tcf(c_63,plain,
    ( ( op(e3,e2) = e3 )
    | ( op(e3,e2) = e2 )
    | ( op(e3,e2) = e1 )
    | ( op(e3,e2) = e0 ) ),
    inference(cnf_transformation,[],[f64]) ).

tcf(c_66,plain,
    ( ( op(e3,e0) = e0 )
    | ( op(e2,e0) = e0 )
    | ( op(e1,e0) = e0 )
    | ( op(e0,e0) = e0 ) ),
    inference(cnf_transformation,[],[f109]) ).

tcf(c_70,plain,
    ( ( op(e3,e0) = e2 )
    | ( op(e2,e0) = e2 )
    | ( op(e1,e0) = e2 )
    | ( op(e0,e0) = e2 ) ),
    inference(cnf_transformation,[],[f105]) ).

tcf(c_72,plain,
    ( ( op(e3,e0) = e3 )
    | ( op(e2,e0) = e3 )
    | ( op(e1,e0) = e3 )
    | ( op(e0,e0) = e3 ) ),
    inference(cnf_transformation,[],[f103]) ).

tcf(c_76,plain,
    ( ( op(e3,e1) = e1 )
    | ( op(e2,e1) = e1 )
    | ( op(e1,e1) = e1 )
    | ( op(e0,e1) = e1 ) ),
    inference(cnf_transformation,[],[f99]) ).

tcf(c_80,plain,
    ( ( op(e3,e1) = e3 )
    | ( op(e2,e1) = e3 )
    | ( op(e1,e1) = e3 )
    | ( op(e0,e1) = e3 ) ),
    inference(cnf_transformation,[],[f95]) ).

tcf(c_88,plain,
    ( ( op(e3,e2) = e3 )
    | ( op(e2,e2) = e3 )
    | ( op(e1,e2) = e3 )
    | ( op(e0,e2) = e3 ) ),
    inference(cnf_transformation,[],[f87]) ).

tcf(c_93,plain,
    ( ( op(e3,e3) = e2 )
    | ( op(e3,e2) = e2 )
    | ( op(e3,e1) = e2 )
    | ( op(e3,e0) = e2 ) ),
    inference(cnf_transformation,[],[f82]) ).

tcf(c_95,plain,
    ( ( op(e3,e3) = e3 )
    | ( op(e3,e2) = e3 )
    | ( op(e3,e1) = e3 )
    | ( op(e3,e0) = e3 ) ),
    inference(cnf_transformation,[],[f80]) ).

tcf(c_96,plain,
    ( ( op(e3,e3) = e3 )
    | ( op(e2,e3) = e3 )
    | ( op(e1,e3) = e3 )
    | ( op(e0,e3) = e3 ) ),
    inference(cnf_transformation,[],[f79]) ).

tcf(c_97,plain,
    op(e0,e0) != op(e1,e0),
    inference(cnf_transformation,[],[f158]) ).

tcf(c_98,plain,
    op(e0,e0) != op(e2,e0),
    inference(cnf_transformation,[],[f157]) ).

tcf(c_99,plain,
    op(e0,e0) != op(e3,e0),
    inference(cnf_transformation,[],[f156]) ).

tcf(c_103,plain,
    op(e0,e1) != op(e1,e1),
    inference(cnf_transformation,[],[f152]) ).

tcf(c_106,plain,
    op(e1,e1) != op(e2,e1),
    inference(cnf_transformation,[],[f149]) ).

tcf(c_107,plain,
    op(e1,e1) != op(e3,e1),
    inference(cnf_transformation,[],[f148]) ).

tcf(c_108,plain,
    op(e2,e1) != op(e3,e1),
    inference(cnf_transformation,[],[f147]) ).

tcf(c_111,plain,
    op(e0,e2) != op(e3,e2),
    inference(cnf_transformation,[],[f144]) ).

tcf(c_112,plain,
    op(e1,e2) != op(e2,e2),
    inference(cnf_transformation,[],[f143]) ).

tcf(c_113,plain,
    op(e1,e2) != op(e3,e2),
    inference(cnf_transformation,[],[f142]) ).

tcf(c_114,plain,
    op(e2,e2) != op(e3,e2),
    inference(cnf_transformation,[],[f141]) ).

tcf(c_115,plain,
    op(e0,e3) != op(e1,e3),
    inference(cnf_transformation,[],[f140]) ).

tcf(c_116,plain,
    op(e0,e3) != op(e2,e3),
    inference(cnf_transformation,[],[f139]) ).

tcf(c_117,plain,
    op(e0,e3) != op(e3,e3),
    inference(cnf_transformation,[],[f138]) ).

tcf(c_118,plain,
    op(e1,e3) != op(e2,e3),
    inference(cnf_transformation,[],[f137]) ).

tcf(c_119,plain,
    op(e1,e3) != op(e3,e3),
    inference(cnf_transformation,[],[f136]) ).

tcf(c_120,plain,
    op(e2,e3) != op(e3,e3),
    inference(cnf_transformation,[],[f135]) ).

tcf(c_121,plain,
    op(e0,e0) != op(e0,e1),
    inference(cnf_transformation,[],[f134]) ).

tcf(c_122,plain,
    op(e0,e0) != op(e0,e2),
    inference(cnf_transformation,[],[f133]) ).

tcf(c_123,plain,
    op(e0,e0) != op(e0,e3),
    inference(cnf_transformation,[],[f132]) ).

tcf(c_125,plain,
    op(e0,e1) != op(e0,e3),
    inference(cnf_transformation,[],[f130]) ).

tcf(c_126,plain,
    op(e0,e2) != op(e0,e3),
    inference(cnf_transformation,[],[f129]) ).

tcf(c_127,plain,
    op(e1,e0) != op(e1,e1),
    inference(cnf_transformation,[],[f128]) ).

tcf(c_129,plain,
    op(e1,e0) != op(e1,e3),
    inference(cnf_transformation,[],[f126]) ).

tcf(c_130,plain,
    op(e1,e1) != op(e1,e2),
    inference(cnf_transformation,[],[f125]) ).

tcf(c_131,plain,
    op(e1,e1) != op(e1,e3),
    inference(cnf_transformation,[],[f124]) ).

tcf(c_132,plain,
    op(e1,e2) != op(e1,e3),
    inference(cnf_transformation,[],[f123]) ).

tcf(c_134,plain,
    op(e2,e0) != op(e2,e2),
    inference(cnf_transformation,[],[f121]) ).

tcf(c_135,plain,
    op(e2,e0) != op(e2,e3),
    inference(cnf_transformation,[],[f120]) ).

tcf(c_136,plain,
    op(e2,e1) != op(e2,e2),
    inference(cnf_transformation,[],[f119]) ).

tcf(c_137,plain,
    op(e2,e1) != op(e2,e3),
    inference(cnf_transformation,[],[f118]) ).

tcf(c_138,plain,
    op(e2,e2) != op(e2,e3),
    inference(cnf_transformation,[],[f117]) ).

tcf(c_140,plain,
    op(e3,e0) != op(e3,e2),
    inference(cnf_transformation,[],[f115]) ).

tcf(c_142,plain,
    op(e3,e1) != op(e3,e2),
    inference(cnf_transformation,[],[f113]) ).

tcf(c_143,plain,
    op(e3,e1) != op(e3,e3),
    inference(cnf_transformation,[],[f112]) ).

tcf(c_144,plain,
    op(e3,e2) != op(e3,e3),
    inference(cnf_transformation,[],[f111]) ).

tcf(c_145,plain,
    e0 != e1,
    inference(cnf_transformation,[],[f164]) ).

tcf(c_146,plain,
    e0 != e2,
    inference(cnf_transformation,[],[f163]) ).

tcf(c_147,plain,
    e0 != e3,
    inference(cnf_transformation,[],[f162]) ).

tcf(c_148,plain,
    e1 != e2,
    inference(cnf_transformation,[],[f161]) ).

tcf(c_149,plain,
    e1 != e3,
    inference(cnf_transformation,[],[f160]) ).

tcf(c_150,plain,
    e2 != e3,
    inference(cnf_transformation,[],[f159]) ).

tcf(c_151,plain,
    ( ( op(e3,e3) = e0 )
    | ~ sP3 ),
    inference(cnf_transformation,[],[f166]) ).

tcf(c_152,plain,
    ( ~ sP3
    | ( op(e3,e0) != e3 ) ),
    inference(cnf_transformation,[],[f165]) ).

tcf(c_153,plain,
    ( ( op(e3,e3) = e1 )
    | ~ sP2 ),
    inference(cnf_transformation,[],[f168]) ).

tcf(c_154,plain,
    ( ~ sP2
    | ( op(e3,e1) != e3 ) ),
    inference(cnf_transformation,[],[f167]) ).

tcf(c_155,plain,
    ( ( op(e3,e3) = e2 )
    | ~ sP1 ),
    inference(cnf_transformation,[],[f170]) ).

tcf(c_156,plain,
    ( ~ sP1
    | ( op(e3,e2) != e3 ) ),
    inference(cnf_transformation,[],[f169]) ).

tcf(c_159,plain,
    ( sP3
    | ( op(e2,e2) = e0 )
    | ( op(e1,e1) = e0 )
    | ( op(e0,e0) = e0 ) ),
    inference(cnf_transformation,[],[f204]) ).

tcf(c_160,plain,
    ( sP3
    | ( op(e1,e1) = e0 )
    | ( op(e0,e0) = e0 )
    | ( op(e2,e0) != e2 ) ),
    inference(cnf_transformation,[],[f203]) ).

tcf(c_163,plain,
    ( sP3
    | ( op(e2,e2) = e0 )
    | ( op(e1,e1) = e0 )
    | ( op(e0,e0) != e0 ) ),
    inference(cnf_transformation,[],[f200]) ).

tcf(c_164,plain,
    ( sP3
    | ( op(e1,e1) = e0 )
    | ( op(e2,e0) != e2 )
    | ( op(e0,e0) != e0 ) ),
    inference(cnf_transformation,[],[f199]) ).

tcf(c_167,plain,
    ( sP2
    | ( op(e2,e2) = e1 )
    | ( op(e1,e1) = e1 )
    | ( op(e0,e0) = e1 ) ),
    inference(cnf_transformation,[],[f196]) ).

tcf(c_168,plain,
    ( sP2
    | ( op(e1,e1) = e1 )
    | ( op(e0,e0) = e1 )
    | ( op(e2,e1) != e2 ) ),
    inference(cnf_transformation,[],[f195]) ).

tcf(c_169,plain,
    ( sP2
    | ( op(e2,e2) = e1 )
    | ( op(e0,e0) = e1 )
    | ( op(e1,e1) != e1 ) ),
    inference(cnf_transformation,[],[f194]) ).

tcf(c_170,plain,
    ( sP2
    | ( op(e0,e0) = e1 )
    | ( op(e2,e1) != e2 )
    | ( op(e1,e1) != e1 ) ),
    inference(cnf_transformation,[],[f193]) ).

tcf(c_175,plain,
    ( sP1
    | ( op(e2,e2) = e2 )
    | ( op(e1,e1) = e2 )
    | ( op(e0,e0) = e2 ) ),
    inference(cnf_transformation,[],[f188]) ).

tcf(c_176,plain,
    ( sP1
    | ( op(e1,e1) = e2 )
    | ( op(e0,e0) = e2 )
    | ( op(e2,e2) != e2 ) ),
    inference(cnf_transformation,[],[f187]) ).

tcf(c_177,plain,
    ( sP1
    | ( op(e2,e2) = e2 )
    | ( op(e0,e0) = e2 )
    | ( op(e1,e2) != e1 ) ),
    inference(cnf_transformation,[],[f186]) ).

tcf(c_178,plain,
    ( sP1
    | ( op(e0,e0) = e2 )
    | ( op(e2,e2) != e2 )
    | ( op(e1,e2) != e1 ) ),
    inference(cnf_transformation,[],[f185]) ).

tcf(c_179,plain,
    ( sP1
    | ( op(e2,e2) = e2 )
    | ( op(e1,e1) = e2 )
    | ( op(e0,e2) != e0 ) ),
    inference(cnf_transformation,[],[f184]) ).

tcf(c_180,plain,
    ( sP1
    | ( op(e1,e1) = e2 )
    | ( op(e2,e2) != e2 )
    | ( op(e0,e2) != e0 ) ),
    inference(cnf_transformation,[],[f183]) ).

tcf(c_183,plain,
    ( sP0
    | ( op(e2,e2) = e3 )
    | ( op(e1,e1) = e3 )
    | ( op(e0,e0) = e3 ) ),
    inference(cnf_transformation,[],[f180]) ).

tcf(c_184,plain,
    ( sP0
    | ( op(e1,e1) = e3 )
    | ( op(e0,e0) = e3 )
    | ( op(e2,e3) != e2 ) ),
    inference(cnf_transformation,[],[f179]) ).

tcf(c_185,plain,
    ( sP0
    | ( op(e2,e2) = e3 )
    | ( op(e0,e0) = e3 )
    | ( op(e1,e3) != e1 ) ),
    inference(cnf_transformation,[],[f178]) ).

tcf(c_187,plain,
    ( sP0
    | ( op(e2,e2) = e3 )
    | ( op(e1,e1) = e3 )
    | ( op(e0,e3) != e0 ) ),
    inference(cnf_transformation,[],[f176]) ).

tcf(c_192,plain,
    ( ( op(e2,e2) != e3 )
    | ( op(e2,op(e2,e2)) != e0 )
    | ( op(op(e2,e2),e2) != e1 ) ),
    inference(cnf_transformation,[],[f206]) ).

tcf(c_194,plain,
    ( ( op(e1,e1) != e3 )
    | ( op(e1,op(e1,e1)) != e0 )
    | ( op(op(e1,e1),e1) != e2 ) ),
    inference(cnf_transformation,[],[f208]) ).

tcf(c_195,plain,
    ( ( op(e2,e2) != e1 )
    | ( op(e2,op(e2,e2)) != e0 )
    | ( op(op(e2,e2),e2) != e3 ) ),
    inference(cnf_transformation,[],[f209]) ).

tcf(c_196,plain,
    ( ( op(e1,e1) != e2 )
    | ( op(e1,op(e1,e1)) != e0 )
    | ( op(op(e1,e1),e1) != e3 ) ),
    inference(cnf_transformation,[],[f210]) ).

tcf(c_198,plain,
    ( ( op(e2,e2) != e3 )
    | ( op(e2,op(e2,e2)) != e1 )
    | ( op(op(e2,e2),e2) != e0 ) ),
    inference(cnf_transformation,[],[f212]) ).

tcf(c_200,plain,
    ( ( op(e0,e0) != e3 )
    | ( op(e0,op(e0,e0)) != e1 )
    | ( op(op(e0,e0),e0) != e2 ) ),
    inference(cnf_transformation,[],[f214]) ).

tcf(c_202,plain,
    ( ( op(e0,e0) != e2 )
    | ( op(e0,op(e0,e0)) != e1 )
    | ( op(op(e0,e0),e0) != e3 ) ),
    inference(cnf_transformation,[],[f216]) ).

tcf(c_209,plain,
    ( ( op(e2,e2) != e1 )
    | ( op(e2,op(e2,e2)) != e3 )
    | ( op(op(e2,e2),e2) != e0 ) ),
    inference(cnf_transformation,[],[f223]) ).

tcf(c_210,plain,
    ( ( op(e1,e1) != e2 )
    | ( op(e1,op(e1,e1)) != e3 )
    | ( op(op(e1,e1),e1) != e0 ) ),
    inference(cnf_transformation,[],[f224]) ).

tcf(c_212,plain,
    ( ( op(e0,e0) != e2 )
    | ( op(e0,op(e0,e0)) != e3 )
    | ( op(op(e0,e0),e0) != e1 ) ),
    inference(cnf_transformation,[],[f226]) ).

tcf(c_221,plain,
    ( sP1
    | ( op(e0,e0) = e2 )
    | ( op(e1,e1) = e2 ) ),
    inference(global_subsumption_just,[status(thm)],[c_175,c_175,c_176]) ).

tcf(c_222,plain,
    ( sP1
    | ( op(e1,e1) = e2 )
    | ( op(e0,e0) = e2 ) ),
    inference(renaming,[status(thm)],[c_221]) ).

tcf(c_223,plain,
    ( sP2
    | ( op(e2,e2) = e1 )
    | ( op(e0,e0) = e1 ) ),
    inference(global_subsumption_just,[status(thm)],[c_167,c_167,c_169]) ).

tcf(c_225,plain,
    ( sP3
    | ( op(e2,e2) = e0 )
    | ( op(e1,e1) = e0 ) ),
    inference(global_subsumption_just,[status(thm)],[c_159,c_159,c_163]) ).

tcf(c_233,plain,
    ( sP1
    | ( op(e0,e2) != e0 )
    | ( op(e1,e1) = e2 ) ),
    inference(global_subsumption_just,[status(thm)],[c_179,c_179,c_180]) ).

tcf(c_234,plain,
    ( sP1
    | ( op(e1,e1) = e2 )
    | ( op(e0,e2) != e0 ) ),
    inference(renaming,[status(thm)],[c_233]) ).

tcf(c_235,plain,
    ( sP1
    | ( op(e1,e2) != e1 )
    | ( op(e0,e0) = e2 ) ),
    inference(global_subsumption_just,[status(thm)],[c_177,c_177,c_178]) ).

tcf(c_236,plain,
    ( sP1
    | ( op(e0,e0) = e2 )
    | ( op(e1,e2) != e1 ) ),
    inference(renaming,[status(thm)],[c_235]) ).

tcf(c_237,plain,
    ( sP1
    | ( op(e1,e1) = e2 )
    | ( op(e0,e0) = e2 ) ),
    inference(global_subsumption_just,[status(thm)],[c_176,c_222]) ).

tcf(c_241,plain,
    ( sP2
    | ( op(e2,e2) = e1 )
    | ( op(e0,e0) = e1 ) ),
    inference(global_subsumption_just,[status(thm)],[c_169,c_223]) ).

tcf(c_243,plain,
    ( sP2
    | ( op(e2,e1) != e2 )
    | ( op(e0,e0) = e1 ) ),
    inference(global_subsumption_just,[status(thm)],[c_168,c_168,c_170]) ).

tcf(c_244,plain,
    ( sP2
    | ( op(e0,e0) = e1 )
    | ( op(e2,e1) != e2 ) ),
    inference(renaming,[status(thm)],[c_243]) ).

tcf(c_245,plain,
    ( sP3
    | ( op(e2,e2) = e0 )
    | ( op(e1,e1) = e0 ) ),
    inference(global_subsumption_just,[status(thm)],[c_163,c_225]) ).

tcf(c_249,plain,
    ( sP3
    | ( op(e1,e1) = e0 )
    | ( op(e2,e0) != e2 ) ),
    inference(global_subsumption_just,[status(thm)],[c_160,c_160,c_164]) ).

tcf(c_259,plain,
    ( sP1
    | ( op(e1,e1) = e2 )
    | ( op(e0,e2) != e0 ) ),
    inference(global_subsumption_just,[status(thm)],[c_180,c_234]) ).

tcf(c_261,plain,
    ( sP1
    | ( op(e0,e0) = e2 )
    | ( op(e1,e2) != e1 ) ),
    inference(global_subsumption_just,[status(thm)],[c_178,c_236]) ).

tcf(c_267,plain,
    ( sP2
    | ( op(e0,e0) = e1 )
    | ( op(e2,e1) != e2 ) ),
    inference(global_subsumption_just,[status(thm)],[c_170,c_244]) ).

tcf(c_271,plain,
    ( sP3
    | ( op(e1,e1) = e0 )
    | ( op(e2,e0) != e2 ) ),
    inference(global_subsumption_just,[status(thm)],[c_164,c_249]) ).

tcf(c_4671,plain,
    ( ( op(e0,e3) = e2 )
    | ( op(e0,e3) = e1 )
    | ( op(e0,e3) = e0 )
    | ( op(e0,e2) != e3 ) ),
    inference(superposition,[status(thm)],[c_52,c_126]) ).

tcf(c_4672,plain,
    ( ( op(e0,e3) = e2 )
    | ( op(e0,e3) = e1 )
    | ( op(e0,e3) = e0 )
    | ( op(e0,e1) != e3 ) ),
    inference(superposition,[status(thm)],[c_52,c_125]) ).

tcf(c_4673,plain,
    ( ( op(e0,e3) = e2 )
    | ( op(e0,e3) = e1 )
    | ( op(e0,e3) = e0 )
    | ( op(e0,e0) != e3 ) ),
    inference(superposition,[status(thm)],[c_52,c_123]) ).

tcf(c_4704,plain,
    ( ( op(e3,e3) = e2 )
    | ( op(e1,e1) = e2 )
    | ( op(e0,e0) = e2 ) ),
    inference(superposition,[status(thm)],[c_237,c_155]) ).

tcf(c_4714,plain,
    ( ( op(e3,e3) = e1 )
    | ( op(e2,e2) = e1 )
    | ( op(e0,e0) = e1 ) ),
    inference(superposition,[status(thm)],[c_241,c_153]) ).

tcf(c_4724,plain,
    ( ( op(e3,e3) = e0 )
    | ( op(e2,e2) = e0 )
    | ( op(e1,e1) = e0 ) ),
    inference(superposition,[status(thm)],[c_245,c_151]) ).

tcf(c_4850,plain,
    ( ( op(e1,e3) = e2 )
    | ( op(e1,e3) = e1 )
    | ( op(e1,e3) = e0 )
    | ( op(e1,e1) != e3 ) ),
    inference(superposition,[status(thm)],[c_56,c_131]) ).

tcf(c_4851,plain,
    ( ( op(e1,e3) = e2 )
    | ( op(e1,e3) = e1 )
    | ( op(e1,e3) = e0 )
    | ( op(e1,e0) != e3 ) ),
    inference(superposition,[status(thm)],[c_56,c_129]) ).

tcf(c_4917,plain,
    ( ( op(e1,e1) = e2 )
    | ( op(e0,e0) = e2 )
    | ( op(e3,e2) != e2 ) ),
    inference(superposition,[status(thm)],[c_4704,c_144]) ).

tcf(c_4918,plain,
    ( ( op(e1,e1) = e2 )
    | ( op(e0,e0) = e2 )
    | ( op(e3,e1) != e2 ) ),
    inference(superposition,[status(thm)],[c_4704,c_143]) ).

tcf(c_4921,plain,
    ( ( op(e1,e1) = e2 )
    | ( op(e0,e0) = e2 )
    | ( op(e1,e3) != e2 ) ),
    inference(superposition,[status(thm)],[c_4704,c_119]) ).

tcf(c_4922,plain,
    ( ( op(e1,e1) = e2 )
    | ( op(e0,e0) = e2 )
    | ( op(e0,e3) != e2 ) ),
    inference(superposition,[status(thm)],[c_4704,c_117]) ).

tcf(c_4947,plain,
    ( ( e1 = e2 )
    | ( op(e2,e2) = e1 )
    | ( op(e1,e1) = e2 )
    | ( op(e0,e0) = e2 )
    | ( op(e0,e0) = e1 ) ),
    inference(superposition,[status(thm)],[c_4704,c_4714]) ).

tcf(c_4952,plain,
    ( ( op(e2,e2) = e1 )
    | ( op(e0,e0) = e1 )
    | ( op(e2,e3) != e1 ) ),
    inference(superposition,[status(thm)],[c_4714,c_120]) ).

tcf(c_4954,plain,
    ( ( op(e2,e2) = e1 )
    | ( op(e0,e0) = e1 )
    | ( op(e0,e3) != e1 ) ),
    inference(superposition,[status(thm)],[c_4714,c_117]) ).

tcf(c_4973,plain,
    ( ( op(e2,e2) = e1 )
    | ( op(e1,e1) = e2 )
    | ( op(e0,e0) = e2 )
    | ( op(e0,e0) = e1 ) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_4947,c_148]) ).

tcf(c_4987,plain,
    ( ( e0 = e2 )
    | ( op(e2,e2) = e0 )
    | ( op(e1,e1) = e2 )
    | ( op(e1,e1) = e0 )
    | ( op(e0,e0) = e2 ) ),
    inference(superposition,[status(thm)],[c_4724,c_4704]) ).

tcf(c_4991,plain,
    ( ( op(e2,e2) = e0 )
    | ( op(e1,e1) = e0 )
    | ( op(e2,e3) != e0 ) ),
    inference(superposition,[status(thm)],[c_4724,c_120]) ).

tcf(c_4992,plain,
    ( ( op(e2,e2) = e0 )
    | ( op(e1,e1) = e0 )
    | ( op(e1,e3) != e0 ) ),
    inference(superposition,[status(thm)],[c_4724,c_119]) ).

tcf(c_5012,plain,
    ( ( op(e2,e2) = e0 )
    | ( op(e1,e1) = e2 )
    | ( op(e1,e1) = e0 )
    | ( op(e0,e0) = e2 ) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_4987,c_146]) ).

tcf(c_5158,plain,
    ( ( op(e2,e3) = e2 )
    | ( op(e2,e3) = e1 )
    | ( op(e2,e3) = e0 )
    | ( op(e2,e2) != e3 ) ),
    inference(superposition,[status(thm)],[c_60,c_138]) ).

tcf(c_5337,plain,
    ( ( op(e3,e2) = e2 )
    | ( op(e3,e2) = e1 )
    | ( op(e3,e2) = e0 )
    | ~ sP1 ),
    inference(superposition,[status(thm)],[c_63,c_156]) ).

tcf(c_5340,plain,
    ( ( op(e3,e2) = e2 )
    | ( op(e3,e2) = e1 )
    | ( op(e3,e2) = e0 )
    | ( op(e2,e2) != e3 ) ),
    inference(superposition,[status(thm)],[c_63,c_114]) ).

tcf(c_5799,plain,
    ( ( e0 = e3 )
    | ( op(e2,e0) = e3 )
    | ( op(e2,e0) = e0 )
    | ( op(e1,e0) = e3 )
    | ( op(e1,e0) = e0 )
    | ( op(e0,e0) = e3 )
    | ( op(e0,e0) = e0 ) ),
    inference(superposition,[status(thm)],[c_72,c_66]) ).

tcf(c_5802,plain,
    ( ( op(e2,e0) = e3 )
    | ( op(e1,e0) = e3 )
    | ( op(e0,e0) = e3 )
    | ~ sP3 ),
    inference(superposition,[status(thm)],[c_72,c_152]) ).

tcf(c_5810,plain,
    ( ( op(e2,e0) = e3 )
    | ( op(e2,e0) = e0 )
    | ( op(e1,e0) = e3 )
    | ( op(e1,e0) = e0 )
    | ( op(e0,e0) = e3 )
    | ( op(e0,e0) = e0 ) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_5799,c_147]) ).

tcf(c_5839,plain,
    ( ( op(e2,e2) = e0 )
    | ( op(e2,e0) = e3 )
    | ( op(e1,e1) = e0 )
    | ( op(e1,e0) = e3 )
    | ( op(e0,e0) = e3 ) ),
    inference(superposition,[status(thm)],[c_245,c_5802]) ).

tcf(c_6102,plain,
    ( ( e1 = e3 )
    | ( op(e3,e1) = e2 )
    | ( op(e3,e1) = e1 )
    | ( op(e3,e1) = e0 )
    | ( op(e2,e1) = e1 )
    | ( op(e1,e1) = e1 )
    | ( op(e0,e1) = e1 ) ),
    inference(superposition,[status(thm)],[c_76,c_62]) ).

tcf(c_6117,plain,
    ( ( op(e3,e1) = e2 )
    | ( op(e3,e1) = e1 )
    | ( op(e3,e1) = e0 )
    | ( op(e2,e1) = e1 )
    | ( op(e1,e1) = e1 )
    | ( op(e0,e1) = e1 ) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_6102,c_149]) ).

tcf(c_6299,plain,
    ( ( op(e2,e1) = e3 )
    | ( op(e1,e1) = e3 )
    | ( op(e0,e1) = e3 )
    | ~ sP2 ),
    inference(superposition,[status(thm)],[c_80,c_154]) ).

tcf(c_6341,plain,
    ( ( op(e2,e2) = e1 )
    | ( op(e2,e1) = e3 )
    | ( op(e1,e1) = e3 )
    | ( op(e0,e1) = e3 )
    | ( op(e0,e0) = e1 ) ),
    inference(superposition,[status(thm)],[c_241,c_6299]) ).

tcf(c_6718,plain,
    ( ( op(e2,e2) = e3 )
    | ( op(e1,e2) = e3 )
    | ( op(e0,e2) = e3 )
    | ~ sP1 ),
    inference(superposition,[status(thm)],[c_88,c_156]) ).

tcf(c_6719,plain,
    ( ( op(e2,e2) = e3 )
    | ( op(e1,e2) = e3 )
    | ( op(e0,e2) = e3 )
    | ( op(e3,e1) != e3 ) ),
    inference(superposition,[status(thm)],[c_88,c_142]) ).

tcf(c_6720,plain,
    ( ( op(e2,e2) = e3 )
    | ( op(e1,e2) = e3 )
    | ( op(e0,e2) = e3 )
    | ( op(e3,e0) != e3 ) ),
    inference(superposition,[status(thm)],[c_88,c_140]) ).

tcf(c_6765,plain,
    ( ( op(e2,e2) = e3 )
    | ( op(e1,e2) = e3 )
    | ( op(e1,e1) = e2 )
    | ( op(e0,e2) = e3 )
    | ( op(e0,e0) = e2 ) ),
    inference(superposition,[status(thm)],[c_237,c_6718]) ).

tcf(c_7018,plain,
    ( ( e1 = e2 )
    | ( op(e3,e2) = e2 )
    | ( op(e3,e1) = e2 )
    | ( op(e3,e0) = e2 )
    | ( op(e2,e2) = e1 )
    | ( op(e0,e0) = e1 ) ),
    inference(superposition,[status(thm)],[c_93,c_4714]) ).

tcf(c_7037,plain,
    ( ( op(e3,e2) = e2 )
    | ( op(e3,e1) = e2 )
    | ( op(e3,e0) = e2 )
    | ( op(e2,e2) = e1 )
    | ( op(e0,e0) = e1 ) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_7018,c_148]) ).

tcf(c_7264,plain,
    ( ( e1 = e3 )
    | ( op(e3,e2) = e3 )
    | ( op(e3,e1) = e3 )
    | ( op(e3,e0) = e3 )
    | ( op(e2,e2) = e1 )
    | ( op(e0,e0) = e1 ) ),
    inference(superposition,[status(thm)],[c_95,c_4714]) ).

tcf(c_7290,plain,
    ( ( op(e3,e2) = e3 )
    | ( op(e3,e1) = e3 )
    | ( op(e3,e0) = e3 )
    | ( op(e2,e2) = e1 )
    | ( op(e0,e0) = e1 ) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_7264,c_149]) ).

tcf(c_7546,plain,
    ( ( e0 = e1 )
    | ( op(e1,e1) = e2 )
    | ( op(e1,e1) = e0 )
    | ( op(e0,e0) = e2 )
    | ( op(e0,e0) = e1 ) ),
    inference(superposition,[status(thm)],[c_5012,c_4973]) ).

tcf(c_7569,plain,
    ( ( op(e1,e1) = e2 )
    | ( op(e1,e1) = e0 )
    | ( op(e0,e0) = e2 )
    | ( op(e0,e0) = e1 ) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_7546,c_145]) ).

fof(f54,definition,
    ( ~ sP0
    | ( op(e3,e3) != e3
      & op(e3,e3) = e3 ) ),
    introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).

fof(f55,definition,
    ( ~ sP1
    | ( op(e3,e2) != e3
      & op(e3,e3) = e2 ) ),
    introduced(definition,[new_symbols(definition,[sP1])],[predicate_definition_introduction]) ).

fof(f56,definition,
    ( ~ sP2
    | ( op(e3,e1) != e3
      & op(e3,e3) = e1 ) ),
    introduced(definition,[new_symbols(definition,[sP2])],[predicate_definition_introduction]) ).

fof(f57,definition,
    ( ~ sP3
    | ( op(e3,e0) != e3
      & op(e3,e3) = e0 ) ),
    introduced(definition,[new_symbols(definition,[sP3])],[predicate_definition_introduction]) ).

fof(f58,plain,
    ( ( sP0
      | ( op(e2,e3) != e2
        & op(e2,e2) = e3 )
      | ( op(e1,e3) != e1
        & op(e1,e1) = e3 )
      | ( op(e0,e3) != e0
        & op(e0,e0) = e3 ) )
    & ( sP1
      | ( op(e2,e2) != e2
        & op(e2,e2) = e2 )
      | ( op(e1,e2) != e1
        & op(e1,e1) = e2 )
      | ( op(e0,e2) != e0
        & op(e0,e0) = e2 ) )
    & ( sP2
      | ( op(e2,e1) != e2
        & op(e2,e2) = e1 )
      | ( op(e1,e1) != e1
        & op(e1,e1) = e1 )
      | ( op(e0,e1) != e0
        & op(e0,e0) = e1 ) )
    & ( sP3
      | ( op(e2,e0) != e2
        & op(e2,e2) = e0 )
      | ( op(e1,e0) != e1
        & op(e1,e1) = e0 )
      | ( op(e0,e0) != e0
        & op(e0,e0) = e0 ) ) ),
    inference(definition_folding,[],[f5,f57,f56,f55,f54]) ).

fof(f62,plain,
    ( ~ sP0
    | ( op(e3,e3) != e3
      & op(e3,e3) = e3 ) ),
    inference(nnf_transformation,[],[f54]) ).

fof(f171,plain,
    ( ~ sP0
    | e3 != op(e3,e3) ),
    inference(cnf_transformation,[],[f62]) ).

fof(f172,plain,
    ( ~ sP0
    | e3 = op(e3,e3) ),
    inference(cnf_transformation,[],[f62]) ).

tcf(c_157,plain,
    ( ( op(e3,e3) = e3 )
    | ~ sP0 ),
    inference(cnf_transformation,[],[f172]) ).

tcf(c_158,plain,
    ( ~ sP0
    | ( op(e3,e3) != e3 ) ),
    inference(cnf_transformation,[],[f171]) ).

tcf(c_215,plain,
    ~ sP0,
    inference(global_subsumption_just,[status(thm)],[c_157,c_157,c_158]) ).

tcf(c_219,plain,
    ( ( op(e0,e0) = e3 )
    | ( op(e1,e1) = e3 )
    | ( op(e2,e2) = e3 ) ),
    inference(global_subsumption_just,[status(thm)],[c_183,c_183,c_215]) ).

tcf(c_220,plain,
    ( ( op(e2,e2) = e3 )
    | ( op(e1,e1) = e3 )
    | ( op(e0,e0) = e3 ) ),
    inference(renaming,[status(thm)],[c_219]) ).

tcf(c_227,plain,
    ( ( op(e0,e3) != e0 )
    | ( op(e1,e1) = e3 )
    | ( op(e2,e2) = e3 ) ),
    inference(global_subsumption_just,[status(thm)],[c_187,c_157,c_158,c_187]) ).

tcf(c_228,plain,
    ( ( op(e2,e2) = e3 )
    | ( op(e1,e1) = e3 )
    | ( op(e0,e3) != e0 ) ),
    inference(renaming,[status(thm)],[c_227]) ).

tcf(c_229,plain,
    ( ( op(e1,e3) != e1 )
    | ( op(e0,e0) = e3 )
    | ( op(e2,e2) = e3 ) ),
    inference(global_subsumption_just,[status(thm)],[c_185,c_157,c_158,c_185]) ).

tcf(c_230,plain,
    ( ( op(e2,e2) = e3 )
    | ( op(e0,e0) = e3 )
    | ( op(e1,e3) != e1 ) ),
    inference(renaming,[status(thm)],[c_229]) ).

tcf(c_231,plain,
    ( ( op(e2,e3) != e2 )
    | ( op(e0,e0) = e3 )
    | ( op(e1,e1) = e3 ) ),
    inference(global_subsumption_just,[status(thm)],[c_184,c_157,c_158,c_184]) ).

tcf(c_232,plain,
    ( ( op(e1,e1) = e3 )
    | ( op(e0,e0) = e3 )
    | ( op(e2,e3) != e2 ) ),
    inference(renaming,[status(thm)],[c_231]) ).

tcf(c_7548,plain,
    ( ( e0 = e3 )
    | ( op(e1,e1) = e3 )
    | ( op(e1,e1) = e2 )
    | ( op(e1,e1) = e0 )
    | ( op(e0,e0) = e3 )
    | ( op(e0,e0) = e2 ) ),
    inference(superposition,[status(thm)],[c_5012,c_220]) ).

tcf(c_7574,plain,
    ( ( op(e1,e1) = e3 )
    | ( op(e1,e1) = e2 )
    | ( op(e1,e1) = e0 )
    | ( op(e0,e0) = e3 )
    | ( op(e0,e0) = e2 ) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_7548,c_147]) ).

tcf(c_8500,plain,
    $false,
    inference(smt_impl_just,[status(thm)],[c_7574,c_7569,c_7290,c_7037,c_6765,c_6720,c_6719,c_6341,c_6117,c_5839,c_5810,c_5340,c_5337,c_5158,c_4992,c_4991,c_4973,c_4954,c_4952,c_4922,c_4921,c_4918,c_4917,c_4851,c_4850,c_4673,c_4672,c_4671,c_4704,c_4714,c_4724,c_271,c_267,c_261,c_259,c_232,c_230,c_228,c_245,c_241,c_237,c_220,c_212,c_210,c_209,c_202,c_200,c_198,c_196,c_195,c_194,c_192,c_156,c_155,c_154,c_153,c_152,c_151,c_150,c_149,c_148,c_147,c_146,c_145,c_142,c_140,c_137,c_136,c_135,c_134,c_132,c_131,c_130,c_129,c_127,c_126,c_123,c_122,c_121,c_119,c_118,c_117,c_116,c_115,c_114,c_113,c_112,c_111,c_108,c_107,c_106,c_103,c_99,c_98,c_97,c_96,c_95,c_88,c_80,c_72,c_70,c_66,c_58,c_57,c_56,c_55,c_52,c_51]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : ALG142+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.04  % Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.35  % Computer : n015.cluster.edu
% 0.10/0.35  % Model    : x86_64 x86_64
% 0.10/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35  % Memory   : 8046.5625MB
% 0.10/0.35  % OS       : Linux 6.8.0-71-generic
% 0.10/0.36  % CPULimit : 300
% 0.10/0.36  % WCLimit  : 300
% 0.10/0.36  % DateTime : Fri Sep 25 04:56:27 UTC 2026
% 0.10/0.36  % CPUTime  : 
% 0.10/0.36  Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.12/0.39  Running first-order theorem proving
% 0.12/0.39  Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.40  
% 0.12/0.40  % ======== iProver multi-core TPTP/SMT =========
% 0.12/0.40  
% 0.12/0.40  % Detected problem language: tptp
% 0.12/0.41  % Proving...
% 2.68/1.27  % SZS status Started for theBenchmark.p
% 2.68/1.27  % SZS status Unsatisfiable for theBenchmark.p
% 2.68/1.27  
% 2.68/1.27  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.68/1.27  
% 2.68/1.27  % ------  iProver source info
% 2.68/1.27  
% 2.68/1.27  % git: date: 2026-07-19 20:42:38 +0200
% 2.68/1.27  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.68/1.27  % git: non_committed_changes: false
% 2.68/1.27  
% 2.68/1.27  % ------ Parsing...
% 2.68/1.27  % ------ Clausification by vclausify_rel  & Parsing by iProver...% 
% 2.68/1.27  
% 2.68/1.27  % ------ Preprocessing... sup_sim: 0  sf_s  rm: 1 0s  sf_e  pe_s  pe_e  sup_sim: 0  sf_s  rm: 0 0s  sf_e  pe_s  pe_e % 
% 2.68/1.27  
% 2.68/1.27  % ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e % 
% 2.68/1.27  
% 2.68/1.27  % ------ Preprocessing... sf_s  rm: 0 0s  sf_e 
% 2.68/1.27  % ------ Proving...
% 2.68/1.27  % ------ Problem Properties 
% 2.68/1.27  
% 2.68/1.27  % 
% 2.68/1.27  % clauses                               152
% 2.68/1.27  % conjectures                           0
% 2.68/1.27  % EPR                                   6
% 2.68/1.27  % Horn                                  91
% 2.68/1.27  % unary                                 54
% 2.68/1.27  % binary                                6
% 2.68/1.27  % lits                                  390
% 2.68/1.27  % lits eq                               372
% 2.68/1.27  % fd_pure                               0
% 2.68/1.27  % fd_pseudo                             0
% 2.68/1.27  % fd_cond                               0
% 2.68/1.27  % fd_pseudo_cond                        0
% 2.68/1.27  % AC symbols                            0
% 2.68/1.27  
% 2.68/1.27  % ------ Schedule dynamic 5 is on 
% 2.68/1.27  
% 2.68/1.27  % ------ no conjectures: strip conj schedule 
% 2.68/1.27  
% 2.68/1.27  % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" stripped conjectures Time Limit: 10.
% 2.68/1.27  
% 2.68/1.27  
% 2.68/1.27  % ------ 
% 2.68/1.27  % Current options:
% 2.68/1.27  % ------ 
% 2.68/1.27  
% 2.68/1.27  
% 2.68/1.27  % 
% 2.68/1.27  
% 2.68/1.27  % ------ Proving...
% 2.68/1.27  % 
% 2.68/1.27  
% 2.68/1.27  % SZS status Unsatisfiable for theBenchmark.p
% 2.68/1.27  
% 2.68/1.27  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.68/1.27  
% 2.68/1.27  
%------------------------------------------------------------------------------