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Beagle---0.9.52.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : Beagle---0.9.52
% Problem  : SWV098+1 : TPTP v9.0.0. Bugfixed v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s

% Computer : n009.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Apr  9 09:29:31 PM UTC 2025

% Result   : Theorem 20.10s 5.83s
% Output   : CNFRefutation 20.35s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   37
%            Number of leaves      :    4
% Syntax   : Number of formulae    :  189 (  44 unt;   0 typ;   0 def)
%            Number of atoms       : 2200 (2050 equ)
%            Maximal formula atoms :   74 (  11 avg)
%            Number of connectives : 3979 (1968   ~;1938   |;  69   &)
%                                         (   0 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   39 (  12 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    7 (   5 usr;   2 prp; 0-2 aty)
%            Number of functors    :   66 (  66 usr;  21 con; 0-8 aty)
%            Number of variables   :   20 (  20   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
%$ lt > leq > gt > geq > tptp_update3 > tptp_update2 > tptp_const_array2 > sum > a_select3 > uniform_int_rnd > tptp_msub > tptp_mmul > tptp_madd > tptp_const_array1 > plus > minus > dim > a_select2 > #nlpp > trans > succ > pred > inv > z_defuse > xinit_noise_defuse > xinit_mean_defuse > xinit_defuse > use > u_defuse > true > tptp_minus_1 > tptp_float_0_0 > sigma_defuse > rho_defuse > pv5 > n999 > n5 > n4 > n3 > n2 > n1 > n0 > def > #skF_13 > #skF_24 > #skF_17 > #skF_23 > #skF_6 > #skF_19 > #skF_27 > #skF_21 > #skF_25 > #skF_12 > #skF_18 > #skF_3 > #skF_26 > #skF_20 > #skF_11 > #skF_7 > #skF_9 > #skF_15 > #skF_22 > #skF_14 > #skF_29 > #skF_28 > #skF_2 > #skF_8 > #skF_1 > #skF_5 > #skF_4 > #skF_16 > #skF_10

%Foreground sorts:

%Background operators:

%Foreground operators:
tff('#skF_13',type,
    '#skF_13': ( $i * $i * $i ) > $i ).

tff('#skF_24',type,
    '#skF_24': ( $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).

tff(xinit_defuse,type,
    xinit_defuse: $i ).

tff(true,type,
    true: $o ).

tff('#skF_17',type,
    '#skF_17': ( $i * $i * $i * $i ) > $i ).

tff(tptp_const_array2,type,
    tptp_const_array2: ( $i * $i * $i ) > $i ).

tff('#skF_23',type,
    '#skF_23': ( $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).

tff('#skF_6',type,
    '#skF_6': ( $i * $i ) > $i ).

tff(tptp_minus_1,type,
    tptp_minus_1: $i ).

tff('#skF_19',type,
    '#skF_19': ( $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).

tff('#skF_27',type,
    '#skF_27': ( $i * $i * $i * $i ) > $i ).

tff('#skF_21',type,
    '#skF_21': ( $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).

tff('#skF_25',type,
    '#skF_25': ( $i * $i * $i * $i * $i * $i ) > $i ).

tff('#skF_12',type,
    '#skF_12': ( $i * $i * $i ) > $i ).

tff('#skF_18',type,
    '#skF_18': ( $i * $i * $i * $i ) > $i ).

tff(a_select3,type,
    a_select3: ( $i * $i * $i ) > $i ).

tff(tptp_float_0_0,type,
    tptp_float_0_0: $i ).

tff(a_select2,type,
    a_select2: ( $i * $i ) > $i ).

tff(xinit_noise_defuse,type,
    xinit_noise_defuse: $i ).

tff('#skF_3',type,
    '#skF_3': ( $i * $i ) > $i ).

tff(trans,type,
    trans: $i > $i ).

tff(tptp_update3,type,
    tptp_update3: ( $i * $i * $i * $i ) > $i ).

tff(n3,type,
    n3: $i ).

tff('#skF_26',type,
    '#skF_26': ( $i * $i * $i * $i * $i * $i ) > $i ).

tff(use,type,
    use: $i ).

tff(inv,type,
    inv: $i > $i ).

tff(n1,type,
    n1: $i ).

tff(tptp_madd,type,
    tptp_madd: ( $i * $i ) > $i ).

tff(z_defuse,type,
    z_defuse: $i ).

tff(plus,type,
    plus: ( $i * $i ) > $i ).

tff('#skF_20',type,
    '#skF_20': ( $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).

tff(n0,type,
    n0: $i ).

tff(rho_defuse,type,
    rho_defuse: $i ).

tff('#skF_11',type,
    '#skF_11': ( $i * $i * $i ) > $i ).

tff(tptp_update2,type,
    tptp_update2: ( $i * $i * $i ) > $i ).

tff(gt,type,
    gt: ( $i * $i ) > $o ).

tff('#skF_7',type,
    '#skF_7': ( $i * $i * $i ) > $i ).

tff(n4,type,
    n4: $i ).

tff(tptp_msub,type,
    tptp_msub: ( $i * $i ) > $i ).

tff('#skF_9',type,
    '#skF_9': ( $i * $i * $i ) > $i ).

tff(tptp_const_array1,type,
    tptp_const_array1: ( $i * $i ) > $i ).

tff('#skF_15',type,
    '#skF_15': ( $i * $i * $i ) > $i ).

tff('#skF_22',type,
    '#skF_22': ( $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).

tff('#skF_14',type,
    '#skF_14': ( $i * $i * $i ) > $i ).

tff(n999,type,
    n999: $i ).

tff(tptp_mmul,type,
    tptp_mmul: ( $i * $i ) > $i ).

tff(uniform_int_rnd,type,
    uniform_int_rnd: ( $i * $i ) > $i ).

tff(geq,type,
    geq: ( $i * $i ) > $o ).

tff(leq,type,
    leq: ( $i * $i ) > $o ).

tff('#skF_29',type,
    '#skF_29': $i ).

tff('#skF_28',type,
    '#skF_28': $i ).

tff(lt,type,
    lt: ( $i * $i ) > $o ).

tff('#skF_2',type,
    '#skF_2': ( $i * $i ) > $i ).

tff(def,type,
    def: $i ).

tff('#skF_8',type,
    '#skF_8': ( $i * $i * $i ) > $i ).

tff(u_defuse,type,
    u_defuse: $i ).

tff(n2,type,
    n2: $i ).

tff(n5,type,
    n5: $i ).

tff(pv5,type,
    pv5: $i ).

tff('#skF_1',type,
    '#skF_1': ( $i * $i ) > $i ).

tff(succ,type,
    succ: $i > $i ).

tff(pred,type,
    pred: $i > $i ).

tff(sum,type,
    sum: ( $i * $i * $i ) > $i ).

tff(xinit_mean_defuse,type,
    xinit_mean_defuse: $i ).

tff('#skF_5',type,
    '#skF_5': ( $i * $i ) > $i ).

tff('#skF_4',type,
    '#skF_4': ( $i * $i ) > $i ).

tff('#skF_16',type,
    '#skF_16': ( $i * $i * $i ) > $i ).

tff('#skF_10',type,
    '#skF_10': ( $i * $i * $i ) > $i ).

tff(dim,type,
    dim: ( $i * $i ) > $i ).

tff(sigma_defuse,type,
    sigma_defuse: $i ).

tff(minus,type,
    minus: ( $i * $i ) > $i ).

tff(f_631,negated_conjecture,
    ~ ( ( ( a_select2(rho_defuse,n0) = use )
        & ( a_select2(rho_defuse,n1) = use )
        & ( a_select2(rho_defuse,n2) = use )
        & ( a_select2(sigma_defuse,n0) = use )
        & ( a_select2(sigma_defuse,n1) = use )
        & ( a_select2(sigma_defuse,n2) = use )
        & ( a_select2(sigma_defuse,n3) = use )
        & ( a_select2(sigma_defuse,n4) = use )
        & ( a_select2(sigma_defuse,n5) = use )
        & ( a_select3(u_defuse,n0,n0) = use )
        & ( a_select3(u_defuse,n1,n0) = use )
        & ( a_select3(u_defuse,n2,n0) = use )
        & ( a_select2(xinit_defuse,n3) = use )
        & ( a_select2(xinit_defuse,n4) = use )
        & ( a_select2(xinit_defuse,n5) = use )
        & ( a_select2(xinit_mean_defuse,n0) = use )
        & ( a_select2(xinit_mean_defuse,n1) = use )
        & ( a_select2(xinit_mean_defuse,n2) = use )
        & ( a_select2(xinit_mean_defuse,n3) = use )
        & ( a_select2(xinit_mean_defuse,n4) = use )
        & ( a_select2(xinit_mean_defuse,n5) = use )
        & ( a_select2(xinit_noise_defuse,n0) = use )
        & ( a_select2(xinit_noise_defuse,n1) = use )
        & ( a_select2(xinit_noise_defuse,n2) = use )
        & ( a_select2(xinit_noise_defuse,n3) = use )
        & ( a_select2(xinit_noise_defuse,n4) = use )
        & ( a_select2(xinit_noise_defuse,n5) = use )
        & leq(n0,pv5)
        & leq(pv5,minus(n999,n1))
        & ! [A,B] :
            ( ( leq(n0,A)
              & leq(n0,B)
              & leq(A,n2)
              & leq(B,pv5) )
           => ( ( a_select3(u_defuse,A,B) = use )
              & ( a_select3(z_defuse,A,B) = use ) ) )
        & ! [C,D] :
            ( ( leq(n0,C)
              & leq(n0,D)
              & leq(C,n2)
              & leq(D,minus(pv5,n1)) )
           => ( ( a_select3(u_defuse,C,D) = use )
              & ( a_select3(z_defuse,C,D) = use ) ) ) )
     => ( ( a_select2(rho_defuse,n0) = use )
        & ( a_select2(rho_defuse,n1) = use )
        & ( a_select2(rho_defuse,n2) = use )
        & ( a_select2(sigma_defuse,n0) = use )
        & ( a_select2(sigma_defuse,n1) = use )
        & ( a_select2(sigma_defuse,n2) = use )
        & ( a_select2(sigma_defuse,n3) = use )
        & ( a_select2(sigma_defuse,n4) = use )
        & ( a_select2(sigma_defuse,n5) = use )
        & ( a_select3(u_defuse,n0,n0) = use )
        & ( a_select3(u_defuse,n1,n0) = use )
        & ( a_select3(u_defuse,n2,n0) = use )
        & ( a_select2(xinit_defuse,n3) = use )
        & ( a_select2(xinit_defuse,n4) = use )
        & ( a_select2(xinit_defuse,n5) = use )
        & ( a_select2(xinit_mean_defuse,n0) = use )
        & ( a_select2(xinit_mean_defuse,n1) = use )
        & ( a_select2(xinit_mean_defuse,n2) = use )
        & ( a_select2(xinit_mean_defuse,n3) = use )
        & ( a_select2(xinit_mean_defuse,n4) = use )
        & ( a_select2(xinit_mean_defuse,n5) = use )
        & ( a_select2(xinit_noise_defuse,n0) = use )
        & ( a_select2(xinit_noise_defuse,n1) = use )
        & ( a_select2(xinit_noise_defuse,n2) = use )
        & ( a_select2(xinit_noise_defuse,n3) = use )
        & ( a_select2(xinit_noise_defuse,n4) = use )
        & ( a_select2(xinit_noise_defuse,n5) = use )
        & ! [E,F] :
            ( ( leq(n0,E)
              & leq(n0,F)
              & leq(E,n2)
              & leq(F,minus(plus(n1,pv5),n1)) )
           => ( ( a_select3(u_defuse,E,F) = use )
              & ( a_select3(z_defuse,E,F) = use ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',quaternion_ds1_inuse_0010) ).

tff(f_402,axiom,
    ! [X] : ( pred(succ(X)) = X ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',pred_succ) ).

tff(f_382,axiom,
    ! [X] : ( plus(n1,X) = succ(X) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',succ_plus_1_l) ).

tff(f_400,axiom,
    ! [X] : ( minus(X,n1) = pred(X) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',pred_minus_1) ).

tff(c_516,plain,
    a_select2(xinit_noise_defuse,n5) = use,
    inference(cnfTransformation,[status(thm)],[f_631]) ).

tff(c_518,plain,
    a_select2(xinit_noise_defuse,n4) = use,
    inference(cnfTransformation,[status(thm)],[f_631]) ).

tff(c_520,plain,
    a_select2(xinit_noise_defuse,n3) = use,
    inference(cnfTransformation,[status(thm)],[f_631]) ).

tff(c_522,plain,
    a_select2(xinit_noise_defuse,n2) = use,
    inference(cnfTransformation,[status(thm)],[f_631]) ).

tff(c_524,plain,
    a_select2(xinit_noise_defuse,n1) = use,
    inference(cnfTransformation,[status(thm)],[f_631]) ).

tff(c_526,plain,
    a_select2(xinit_noise_defuse,n0) = use,
    inference(cnfTransformation,[status(thm)],[f_631]) ).

tff(c_528,plain,
    a_select2(xinit_mean_defuse,n5) = use,
    inference(cnfTransformation,[status(thm)],[f_631]) ).

tff(c_530,plain,
    a_select2(xinit_mean_defuse,n4) = use,
    inference(cnfTransformation,[status(thm)],[f_631]) ).

tff(c_532,plain,
    a_select2(xinit_mean_defuse,n3) = use,
    inference(cnfTransformation,[status(thm)],[f_631]) ).

tff(c_534,plain,
    a_select2(xinit_mean_defuse,n2) = use,
    inference(cnfTransformation,[status(thm)],[f_631]) ).

tff(c_536,plain,
    a_select2(xinit_mean_defuse,n1) = use,
    inference(cnfTransformation,[status(thm)],[f_631]) ).

tff(c_538,plain,
    a_select2(xinit_mean_defuse,n0) = use,
    inference(cnfTransformation,[status(thm)],[f_631]) ).

tff(c_540,plain,
    a_select2(xinit_defuse,n5) = use,
    inference(cnfTransformation,[status(thm)],[f_631]) ).

tff(c_542,plain,
    a_select2(xinit_defuse,n4) = use,
    inference(cnfTransformation,[status(thm)],[f_631]) ).

tff(c_544,plain,
    a_select2(xinit_defuse,n3) = use,
    inference(cnfTransformation,[status(thm)],[f_631]) ).

tff(c_546,plain,
    a_select3(u_defuse,n2,n0) = use,
    inference(cnfTransformation,[status(thm)],[f_631]) ).

tff(c_548,plain,
    a_select3(u_defuse,n1,n0) = use,
    inference(cnfTransformation,[status(thm)],[f_631]) ).

tff(c_550,plain,
    a_select3(u_defuse,n0,n0) = use,
    inference(cnfTransformation,[status(thm)],[f_631]) ).

tff(c_552,plain,
    a_select2(sigma_defuse,n5) = use,
    inference(cnfTransformation,[status(thm)],[f_631]) ).

tff(c_554,plain,
    a_select2(sigma_defuse,n4) = use,
    inference(cnfTransformation,[status(thm)],[f_631]) ).

tff(c_556,plain,
    a_select2(sigma_defuse,n3) = use,
    inference(cnfTransformation,[status(thm)],[f_631]) ).

tff(c_558,plain,
    a_select2(sigma_defuse,n2) = use,
    inference(cnfTransformation,[status(thm)],[f_631]) ).

tff(c_560,plain,
    a_select2(sigma_defuse,n1) = use,
    inference(cnfTransformation,[status(thm)],[f_631]) ).

tff(c_562,plain,
    a_select2(sigma_defuse,n0) = use,
    inference(cnfTransformation,[status(thm)],[f_631]) ).

tff(c_564,plain,
    a_select2(rho_defuse,n2) = use,
    inference(cnfTransformation,[status(thm)],[f_631]) ).

tff(c_566,plain,
    a_select2(rho_defuse,n1) = use,
    inference(cnfTransformation,[status(thm)],[f_631]) ).

tff(c_568,plain,
    a_select2(rho_defuse,n0) = use,
    inference(cnfTransformation,[status(thm)],[f_631]) ).

tff(c_578,plain,
    ( leq(n0,'#skF_28')
    | ( a_select2(xinit_noise_defuse,n5) != use )
    | ( a_select2(xinit_noise_defuse,n4) != use )
    | ( a_select2(xinit_noise_defuse,n3) != use )
    | ( a_select2(xinit_noise_defuse,n2) != use )
    | ( a_select2(xinit_noise_defuse,n1) != use )
    | ( a_select2(xinit_noise_defuse,n0) != use )
    | ( a_select2(xinit_mean_defuse,n5) != use )
    | ( a_select2(xinit_mean_defuse,n4) != use )
    | ( a_select2(xinit_mean_defuse,n3) != use )
    | ( a_select2(xinit_mean_defuse,n2) != use )
    | ( a_select2(xinit_mean_defuse,n1) != use )
    | ( a_select2(xinit_mean_defuse,n0) != use )
    | ( a_select2(xinit_defuse,n5) != use )
    | ( a_select2(xinit_defuse,n4) != use )
    | ( a_select2(xinit_defuse,n3) != use )
    | ( a_select3(u_defuse,n2,n0) != use )
    | ( a_select3(u_defuse,n1,n0) != use )
    | ( a_select3(u_defuse,n0,n0) != use )
    | ( a_select2(sigma_defuse,n5) != use )
    | ( a_select2(sigma_defuse,n4) != use )
    | ( a_select2(sigma_defuse,n3) != use )
    | ( a_select2(sigma_defuse,n2) != use )
    | ( a_select2(sigma_defuse,n1) != use )
    | ( a_select2(sigma_defuse,n0) != use )
    | ( a_select2(rho_defuse,n2) != use )
    | ( a_select2(rho_defuse,n1) != use )
    | ( a_select2(rho_defuse,n0) != use ) ),
    inference(cnfTransformation,[status(thm)],[f_631]) ).

tff(c_671,plain,
    ( leq(n0,'#skF_28')
    | ( a_select2(xinit_noise_defuse,n5) != use )
    | ( a_select2(xinit_noise_defuse,n4) != use )
    | ( a_select2(xinit_noise_defuse,n3) != use )
    | ( a_select2(xinit_noise_defuse,n2) != use )
    | ( a_select2(xinit_noise_defuse,n1) != use )
    | ( a_select2(xinit_noise_defuse,n0) != use )
    | ( a_select2(xinit_mean_defuse,n5) != use )
    | ( a_select2(xinit_mean_defuse,n4) != use )
    | ( a_select2(xinit_mean_defuse,n3) != use )
    | ( a_select2(xinit_mean_defuse,n2) != use )
    | ( a_select2(xinit_mean_defuse,n1) != use )
    | ( a_select2(xinit_mean_defuse,n0) != use )
    | ( a_select2(xinit_defuse,n5) != use )
    | ( a_select2(xinit_defuse,n4) != use )
    | ( a_select2(xinit_defuse,n3) != use )
    | ( a_select3(u_defuse,n2,n0) != use )
    | ( a_select3(u_defuse,n1,n0) != use )
    | ( a_select3(u_defuse,n0,n0) != use )
    | ( a_select2(sigma_defuse,n5) != use )
    | ( a_select2(sigma_defuse,n4) != use )
    | ( a_select2(sigma_defuse,n3) != use )
    | ( a_select2(sigma_defuse,n2) != use )
    | ( a_select2(sigma_defuse,n1) != use )
    | ( a_select2(sigma_defuse,n0) != use )
    | ( a_select2(rho_defuse,n2) != use )
    | ( a_select2(rho_defuse,n1) != use ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_568,c_578]) ).

tff(c_681,plain,
    ( leq(n0,'#skF_28')
    | ( a_select2(xinit_noise_defuse,n5) != use )
    | ( a_select2(xinit_noise_defuse,n4) != use )
    | ( a_select2(xinit_noise_defuse,n3) != use )
    | ( a_select2(xinit_noise_defuse,n2) != use )
    | ( a_select2(xinit_noise_defuse,n1) != use )
    | ( a_select2(xinit_noise_defuse,n0) != use )
    | ( a_select2(xinit_mean_defuse,n5) != use )
    | ( a_select2(xinit_mean_defuse,n4) != use )
    | ( a_select2(xinit_mean_defuse,n3) != use )
    | ( a_select2(xinit_mean_defuse,n2) != use )
    | ( a_select2(xinit_mean_defuse,n1) != use )
    | ( a_select2(xinit_mean_defuse,n0) != use )
    | ( a_select2(xinit_defuse,n5) != use )
    | ( a_select2(xinit_defuse,n4) != use )
    | ( a_select2(xinit_defuse,n3) != use )
    | ( a_select3(u_defuse,n2,n0) != use )
    | ( a_select3(u_defuse,n1,n0) != use )
    | ( a_select3(u_defuse,n0,n0) != use )
    | ( a_select2(sigma_defuse,n5) != use )
    | ( a_select2(sigma_defuse,n4) != use )
    | ( a_select2(sigma_defuse,n3) != use )
    | ( a_select2(sigma_defuse,n2) != use )
    | ( a_select2(sigma_defuse,n1) != use )
    | ( a_select2(sigma_defuse,n0) != use )
    | ( a_select2(rho_defuse,n2) != use ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_566,c_671]) ).

tff(c_691,plain,
    ( leq(n0,'#skF_28')
    | ( a_select2(xinit_noise_defuse,n5) != use )
    | ( a_select2(xinit_noise_defuse,n4) != use )
    | ( a_select2(xinit_noise_defuse,n3) != use )
    | ( a_select2(xinit_noise_defuse,n2) != use )
    | ( a_select2(xinit_noise_defuse,n1) != use )
    | ( a_select2(xinit_noise_defuse,n0) != use )
    | ( a_select2(xinit_mean_defuse,n5) != use )
    | ( a_select2(xinit_mean_defuse,n4) != use )
    | ( a_select2(xinit_mean_defuse,n3) != use )
    | ( a_select2(xinit_mean_defuse,n2) != use )
    | ( a_select2(xinit_mean_defuse,n1) != use )
    | ( a_select2(xinit_mean_defuse,n0) != use )
    | ( a_select2(xinit_defuse,n5) != use )
    | ( a_select2(xinit_defuse,n4) != use )
    | ( a_select2(xinit_defuse,n3) != use )
    | ( a_select3(u_defuse,n2,n0) != use )
    | ( a_select3(u_defuse,n1,n0) != use )
    | ( a_select3(u_defuse,n0,n0) != use )
    | ( a_select2(sigma_defuse,n5) != use )
    | ( a_select2(sigma_defuse,n4) != use )
    | ( a_select2(sigma_defuse,n3) != use )
    | ( a_select2(sigma_defuse,n2) != use )
    | ( a_select2(sigma_defuse,n1) != use )
    | ( a_select2(sigma_defuse,n0) != use ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_564,c_681]) ).

tff(c_701,plain,
    ( leq(n0,'#skF_28')
    | ( a_select2(xinit_noise_defuse,n5) != use )
    | ( a_select2(xinit_noise_defuse,n4) != use )
    | ( a_select2(xinit_noise_defuse,n3) != use )
    | ( a_select2(xinit_noise_defuse,n2) != use )
    | ( a_select2(xinit_noise_defuse,n1) != use )
    | ( a_select2(xinit_noise_defuse,n0) != use )
    | ( a_select2(xinit_mean_defuse,n5) != use )
    | ( a_select2(xinit_mean_defuse,n4) != use )
    | ( a_select2(xinit_mean_defuse,n3) != use )
    | ( a_select2(xinit_mean_defuse,n2) != use )
    | ( a_select2(xinit_mean_defuse,n1) != use )
    | ( a_select2(xinit_mean_defuse,n0) != use )
    | ( a_select2(xinit_defuse,n5) != use )
    | ( a_select2(xinit_defuse,n4) != use )
    | ( a_select2(xinit_defuse,n3) != use )
    | ( a_select3(u_defuse,n2,n0) != use )
    | ( a_select3(u_defuse,n1,n0) != use )
    | ( a_select3(u_defuse,n0,n0) != use )
    | ( a_select2(sigma_defuse,n5) != use )
    | ( a_select2(sigma_defuse,n4) != use )
    | ( a_select2(sigma_defuse,n3) != use )
    | ( a_select2(sigma_defuse,n2) != use )
    | ( a_select2(sigma_defuse,n1) != use ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_562,c_691]) ).

tff(c_711,plain,
    ( leq(n0,'#skF_28')
    | ( a_select2(xinit_noise_defuse,n5) != use )
    | ( a_select2(xinit_noise_defuse,n4) != use )
    | ( a_select2(xinit_noise_defuse,n3) != use )
    | ( a_select2(xinit_noise_defuse,n2) != use )
    | ( a_select2(xinit_noise_defuse,n1) != use )
    | ( a_select2(xinit_noise_defuse,n0) != use )
    | ( a_select2(xinit_mean_defuse,n5) != use )
    | ( a_select2(xinit_mean_defuse,n4) != use )
    | ( a_select2(xinit_mean_defuse,n3) != use )
    | ( a_select2(xinit_mean_defuse,n2) != use )
    | ( a_select2(xinit_mean_defuse,n1) != use )
    | ( a_select2(xinit_mean_defuse,n0) != use )
    | ( a_select2(xinit_defuse,n5) != use )
    | ( a_select2(xinit_defuse,n4) != use )
    | ( a_select2(xinit_defuse,n3) != use )
    | ( a_select3(u_defuse,n2,n0) != use )
    | ( a_select3(u_defuse,n1,n0) != use )
    | ( a_select3(u_defuse,n0,n0) != use )
    | ( a_select2(sigma_defuse,n5) != use )
    | ( a_select2(sigma_defuse,n4) != use )
    | ( a_select2(sigma_defuse,n3) != use )
    | ( a_select2(sigma_defuse,n2) != use ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_560,c_701]) ).

tff(c_721,plain,
    ( leq(n0,'#skF_28')
    | ( a_select2(xinit_noise_defuse,n5) != use )
    | ( a_select2(xinit_noise_defuse,n4) != use )
    | ( a_select2(xinit_noise_defuse,n3) != use )
    | ( a_select2(xinit_noise_defuse,n2) != use )
    | ( a_select2(xinit_noise_defuse,n1) != use )
    | ( a_select2(xinit_noise_defuse,n0) != use )
    | ( a_select2(xinit_mean_defuse,n5) != use )
    | ( a_select2(xinit_mean_defuse,n4) != use )
    | ( a_select2(xinit_mean_defuse,n3) != use )
    | ( a_select2(xinit_mean_defuse,n2) != use )
    | ( a_select2(xinit_mean_defuse,n1) != use )
    | ( a_select2(xinit_mean_defuse,n0) != use )
    | ( a_select2(xinit_defuse,n5) != use )
    | ( a_select2(xinit_defuse,n4) != use )
    | ( a_select2(xinit_defuse,n3) != use )
    | ( a_select3(u_defuse,n2,n0) != use )
    | ( a_select3(u_defuse,n1,n0) != use )
    | ( a_select3(u_defuse,n0,n0) != use )
    | ( a_select2(sigma_defuse,n5) != use )
    | ( a_select2(sigma_defuse,n4) != use )
    | ( a_select2(sigma_defuse,n3) != use ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_558,c_711]) ).

tff(c_731,plain,
    ( leq(n0,'#skF_28')
    | ( a_select2(xinit_noise_defuse,n5) != use )
    | ( a_select2(xinit_noise_defuse,n4) != use )
    | ( a_select2(xinit_noise_defuse,n3) != use )
    | ( a_select2(xinit_noise_defuse,n2) != use )
    | ( a_select2(xinit_noise_defuse,n1) != use )
    | ( a_select2(xinit_noise_defuse,n0) != use )
    | ( a_select2(xinit_mean_defuse,n5) != use )
    | ( a_select2(xinit_mean_defuse,n4) != use )
    | ( a_select2(xinit_mean_defuse,n3) != use )
    | ( a_select2(xinit_mean_defuse,n2) != use )
    | ( a_select2(xinit_mean_defuse,n1) != use )
    | ( a_select2(xinit_mean_defuse,n0) != use )
    | ( a_select2(xinit_defuse,n5) != use )
    | ( a_select2(xinit_defuse,n4) != use )
    | ( a_select2(xinit_defuse,n3) != use )
    | ( a_select3(u_defuse,n2,n0) != use )
    | ( a_select3(u_defuse,n1,n0) != use )
    | ( a_select3(u_defuse,n0,n0) != use )
    | ( a_select2(sigma_defuse,n5) != use )
    | ( a_select2(sigma_defuse,n4) != use ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_556,c_721]) ).

tff(c_741,plain,
    ( leq(n0,'#skF_28')
    | ( a_select2(xinit_noise_defuse,n5) != use )
    | ( a_select2(xinit_noise_defuse,n4) != use )
    | ( a_select2(xinit_noise_defuse,n3) != use )
    | ( a_select2(xinit_noise_defuse,n2) != use )
    | ( a_select2(xinit_noise_defuse,n1) != use )
    | ( a_select2(xinit_noise_defuse,n0) != use )
    | ( a_select2(xinit_mean_defuse,n5) != use )
    | ( a_select2(xinit_mean_defuse,n4) != use )
    | ( a_select2(xinit_mean_defuse,n3) != use )
    | ( a_select2(xinit_mean_defuse,n2) != use )
    | ( a_select2(xinit_mean_defuse,n1) != use )
    | ( a_select2(xinit_mean_defuse,n0) != use )
    | ( a_select2(xinit_defuse,n5) != use )
    | ( a_select2(xinit_defuse,n4) != use )
    | ( a_select2(xinit_defuse,n3) != use )
    | ( a_select3(u_defuse,n2,n0) != use )
    | ( a_select3(u_defuse,n1,n0) != use )
    | ( a_select3(u_defuse,n0,n0) != use )
    | ( a_select2(sigma_defuse,n5) != use ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_554,c_731]) ).

tff(c_751,plain,
    ( leq(n0,'#skF_28')
    | ( a_select2(xinit_noise_defuse,n5) != use )
    | ( a_select2(xinit_noise_defuse,n4) != use )
    | ( a_select2(xinit_noise_defuse,n3) != use )
    | ( a_select2(xinit_noise_defuse,n2) != use )
    | ( a_select2(xinit_noise_defuse,n1) != use )
    | ( a_select2(xinit_noise_defuse,n0) != use )
    | ( a_select2(xinit_mean_defuse,n5) != use )
    | ( a_select2(xinit_mean_defuse,n4) != use )
    | ( a_select2(xinit_mean_defuse,n3) != use )
    | ( a_select2(xinit_mean_defuse,n2) != use )
    | ( a_select2(xinit_mean_defuse,n1) != use )
    | ( a_select2(xinit_mean_defuse,n0) != use )
    | ( a_select2(xinit_defuse,n5) != use )
    | ( a_select2(xinit_defuse,n4) != use )
    | ( a_select2(xinit_defuse,n3) != use )
    | ( a_select3(u_defuse,n2,n0) != use )
    | ( a_select3(u_defuse,n1,n0) != use )
    | ( a_select3(u_defuse,n0,n0) != use ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_552,c_741]) ).

tff(c_761,plain,
    ( leq(n0,'#skF_28')
    | ( a_select2(xinit_noise_defuse,n5) != use )
    | ( a_select2(xinit_noise_defuse,n4) != use )
    | ( a_select2(xinit_noise_defuse,n3) != use )
    | ( a_select2(xinit_noise_defuse,n2) != use )
    | ( a_select2(xinit_noise_defuse,n1) != use )
    | ( a_select2(xinit_noise_defuse,n0) != use )
    | ( a_select2(xinit_mean_defuse,n5) != use )
    | ( a_select2(xinit_mean_defuse,n4) != use )
    | ( a_select2(xinit_mean_defuse,n3) != use )
    | ( a_select2(xinit_mean_defuse,n2) != use )
    | ( a_select2(xinit_mean_defuse,n1) != use )
    | ( a_select2(xinit_mean_defuse,n0) != use )
    | ( a_select2(xinit_defuse,n5) != use )
    | ( a_select2(xinit_defuse,n4) != use )
    | ( a_select2(xinit_defuse,n3) != use )
    | ( a_select3(u_defuse,n2,n0) != use )
    | ( a_select3(u_defuse,n1,n0) != use ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_550,c_751]) ).

tff(c_771,plain,
    ( leq(n0,'#skF_28')
    | ( a_select2(xinit_noise_defuse,n5) != use )
    | ( a_select2(xinit_noise_defuse,n4) != use )
    | ( a_select2(xinit_noise_defuse,n3) != use )
    | ( a_select2(xinit_noise_defuse,n2) != use )
    | ( a_select2(xinit_noise_defuse,n1) != use )
    | ( a_select2(xinit_noise_defuse,n0) != use )
    | ( a_select2(xinit_mean_defuse,n5) != use )
    | ( a_select2(xinit_mean_defuse,n4) != use )
    | ( a_select2(xinit_mean_defuse,n3) != use )
    | ( a_select2(xinit_mean_defuse,n2) != use )
    | ( a_select2(xinit_mean_defuse,n1) != use )
    | ( a_select2(xinit_mean_defuse,n0) != use )
    | ( a_select2(xinit_defuse,n5) != use )
    | ( a_select2(xinit_defuse,n4) != use )
    | ( a_select2(xinit_defuse,n3) != use )
    | ( a_select3(u_defuse,n2,n0) != use ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_548,c_761]) ).

tff(c_781,plain,
    ( leq(n0,'#skF_28')
    | ( a_select2(xinit_noise_defuse,n5) != use )
    | ( a_select2(xinit_noise_defuse,n4) != use )
    | ( a_select2(xinit_noise_defuse,n3) != use )
    | ( a_select2(xinit_noise_defuse,n2) != use )
    | ( a_select2(xinit_noise_defuse,n1) != use )
    | ( a_select2(xinit_noise_defuse,n0) != use )
    | ( a_select2(xinit_mean_defuse,n5) != use )
    | ( a_select2(xinit_mean_defuse,n4) != use )
    | ( a_select2(xinit_mean_defuse,n3) != use )
    | ( a_select2(xinit_mean_defuse,n2) != use )
    | ( a_select2(xinit_mean_defuse,n1) != use )
    | ( a_select2(xinit_mean_defuse,n0) != use )
    | ( a_select2(xinit_defuse,n5) != use )
    | ( a_select2(xinit_defuse,n4) != use )
    | ( a_select2(xinit_defuse,n3) != use ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_546,c_771]) ).

tff(c_791,plain,
    ( leq(n0,'#skF_28')
    | ( a_select2(xinit_noise_defuse,n5) != use )
    | ( a_select2(xinit_noise_defuse,n4) != use )
    | ( a_select2(xinit_noise_defuse,n3) != use )
    | ( a_select2(xinit_noise_defuse,n2) != use )
    | ( a_select2(xinit_noise_defuse,n1) != use )
    | ( a_select2(xinit_noise_defuse,n0) != use )
    | ( a_select2(xinit_mean_defuse,n5) != use )
    | ( a_select2(xinit_mean_defuse,n4) != use )
    | ( a_select2(xinit_mean_defuse,n3) != use )
    | ( a_select2(xinit_mean_defuse,n2) != use )
    | ( a_select2(xinit_mean_defuse,n1) != use )
    | ( a_select2(xinit_mean_defuse,n0) != use )
    | ( a_select2(xinit_defuse,n5) != use )
    | ( a_select2(xinit_defuse,n4) != use ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_544,c_781]) ).

tff(c_801,plain,
    ( leq(n0,'#skF_28')
    | ( a_select2(xinit_noise_defuse,n5) != use )
    | ( a_select2(xinit_noise_defuse,n4) != use )
    | ( a_select2(xinit_noise_defuse,n3) != use )
    | ( a_select2(xinit_noise_defuse,n2) != use )
    | ( a_select2(xinit_noise_defuse,n1) != use )
    | ( a_select2(xinit_noise_defuse,n0) != use )
    | ( a_select2(xinit_mean_defuse,n5) != use )
    | ( a_select2(xinit_mean_defuse,n4) != use )
    | ( a_select2(xinit_mean_defuse,n3) != use )
    | ( a_select2(xinit_mean_defuse,n2) != use )
    | ( a_select2(xinit_mean_defuse,n1) != use )
    | ( a_select2(xinit_mean_defuse,n0) != use )
    | ( a_select2(xinit_defuse,n5) != use ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_542,c_791]) ).

tff(c_811,plain,
    ( leq(n0,'#skF_28')
    | ( a_select2(xinit_noise_defuse,n5) != use )
    | ( a_select2(xinit_noise_defuse,n4) != use )
    | ( a_select2(xinit_noise_defuse,n3) != use )
    | ( a_select2(xinit_noise_defuse,n2) != use )
    | ( a_select2(xinit_noise_defuse,n1) != use )
    | ( a_select2(xinit_noise_defuse,n0) != use )
    | ( a_select2(xinit_mean_defuse,n5) != use )
    | ( a_select2(xinit_mean_defuse,n4) != use )
    | ( a_select2(xinit_mean_defuse,n3) != use )
    | ( a_select2(xinit_mean_defuse,n2) != use )
    | ( a_select2(xinit_mean_defuse,n1) != use )
    | ( a_select2(xinit_mean_defuse,n0) != use ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_540,c_801]) ).

tff(c_821,plain,
    ( leq(n0,'#skF_28')
    | ( a_select2(xinit_noise_defuse,n5) != use )
    | ( a_select2(xinit_noise_defuse,n4) != use )
    | ( a_select2(xinit_noise_defuse,n3) != use )
    | ( a_select2(xinit_noise_defuse,n2) != use )
    | ( a_select2(xinit_noise_defuse,n1) != use )
    | ( a_select2(xinit_noise_defuse,n0) != use )
    | ( a_select2(xinit_mean_defuse,n5) != use )
    | ( a_select2(xinit_mean_defuse,n4) != use )
    | ( a_select2(xinit_mean_defuse,n3) != use )
    | ( a_select2(xinit_mean_defuse,n2) != use )
    | ( a_select2(xinit_mean_defuse,n1) != use ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_538,c_811]) ).

tff(c_831,plain,
    ( leq(n0,'#skF_28')
    | ( a_select2(xinit_noise_defuse,n5) != use )
    | ( a_select2(xinit_noise_defuse,n4) != use )
    | ( a_select2(xinit_noise_defuse,n3) != use )
    | ( a_select2(xinit_noise_defuse,n2) != use )
    | ( a_select2(xinit_noise_defuse,n1) != use )
    | ( a_select2(xinit_noise_defuse,n0) != use )
    | ( a_select2(xinit_mean_defuse,n5) != use )
    | ( a_select2(xinit_mean_defuse,n4) != use )
    | ( a_select2(xinit_mean_defuse,n3) != use )
    | ( a_select2(xinit_mean_defuse,n2) != use ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_536,c_821]) ).

tff(c_841,plain,
    ( leq(n0,'#skF_28')
    | ( a_select2(xinit_noise_defuse,n5) != use )
    | ( a_select2(xinit_noise_defuse,n4) != use )
    | ( a_select2(xinit_noise_defuse,n3) != use )
    | ( a_select2(xinit_noise_defuse,n2) != use )
    | ( a_select2(xinit_noise_defuse,n1) != use )
    | ( a_select2(xinit_noise_defuse,n0) != use )
    | ( a_select2(xinit_mean_defuse,n5) != use )
    | ( a_select2(xinit_mean_defuse,n4) != use )
    | ( a_select2(xinit_mean_defuse,n3) != use ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_534,c_831]) ).

tff(c_851,plain,
    ( leq(n0,'#skF_28')
    | ( a_select2(xinit_noise_defuse,n5) != use )
    | ( a_select2(xinit_noise_defuse,n4) != use )
    | ( a_select2(xinit_noise_defuse,n3) != use )
    | ( a_select2(xinit_noise_defuse,n2) != use )
    | ( a_select2(xinit_noise_defuse,n1) != use )
    | ( a_select2(xinit_noise_defuse,n0) != use )
    | ( a_select2(xinit_mean_defuse,n5) != use )
    | ( a_select2(xinit_mean_defuse,n4) != use ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_532,c_841]) ).

tff(c_861,plain,
    ( leq(n0,'#skF_28')
    | ( a_select2(xinit_noise_defuse,n5) != use )
    | ( a_select2(xinit_noise_defuse,n4) != use )
    | ( a_select2(xinit_noise_defuse,n3) != use )
    | ( a_select2(xinit_noise_defuse,n2) != use )
    | ( a_select2(xinit_noise_defuse,n1) != use )
    | ( a_select2(xinit_noise_defuse,n0) != use )
    | ( a_select2(xinit_mean_defuse,n5) != use ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_530,c_851]) ).

tff(c_871,plain,
    ( leq(n0,'#skF_28')
    | ( a_select2(xinit_noise_defuse,n5) != use )
    | ( a_select2(xinit_noise_defuse,n4) != use )
    | ( a_select2(xinit_noise_defuse,n3) != use )
    | ( a_select2(xinit_noise_defuse,n2) != use )
    | ( a_select2(xinit_noise_defuse,n1) != use )
    | ( a_select2(xinit_noise_defuse,n0) != use ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_528,c_861]) ).

tff(c_881,plain,
    ( leq(n0,'#skF_28')
    | ( a_select2(xinit_noise_defuse,n5) != use )
    | ( a_select2(xinit_noise_defuse,n4) != use )
    | ( a_select2(xinit_noise_defuse,n3) != use )
    | ( a_select2(xinit_noise_defuse,n2) != use )
    | ( a_select2(xinit_noise_defuse,n1) != use ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_526,c_871]) ).

tff(c_891,plain,
    ( leq(n0,'#skF_28')
    | ( a_select2(xinit_noise_defuse,n5) != use )
    | ( a_select2(xinit_noise_defuse,n4) != use )
    | ( a_select2(xinit_noise_defuse,n3) != use )
    | ( a_select2(xinit_noise_defuse,n2) != use ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_524,c_881]) ).

tff(c_901,plain,
    ( leq(n0,'#skF_28')
    | ( a_select2(xinit_noise_defuse,n5) != use )
    | ( a_select2(xinit_noise_defuse,n4) != use )
    | ( a_select2(xinit_noise_defuse,n3) != use ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_522,c_891]) ).

tff(c_911,plain,
    ( leq(n0,'#skF_28')
    | ( a_select2(xinit_noise_defuse,n5) != use )
    | ( a_select2(xinit_noise_defuse,n4) != use ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_520,c_901]) ).

tff(c_921,plain,
    ( leq(n0,'#skF_28')
    | ( a_select2(xinit_noise_defuse,n5) != use ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_518,c_911]) ).

tff(c_933,plain,
    leq(n0,'#skF_28'),
    inference(demodulation,[status(thm),theory(equality)],[c_516,c_921]) ).

tff(c_574,plain,
    ( leq('#skF_28',n2)
    | ( a_select2(xinit_noise_defuse,n5) != use )
    | ( a_select2(xinit_noise_defuse,n4) != use )
    | ( a_select2(xinit_noise_defuse,n3) != use )
    | ( a_select2(xinit_noise_defuse,n2) != use )
    | ( a_select2(xinit_noise_defuse,n1) != use )
    | ( a_select2(xinit_noise_defuse,n0) != use )
    | ( a_select2(xinit_mean_defuse,n5) != use )
    | ( a_select2(xinit_mean_defuse,n4) != use )
    | ( a_select2(xinit_mean_defuse,n3) != use )
    | ( a_select2(xinit_mean_defuse,n2) != use )
    | ( a_select2(xinit_mean_defuse,n1) != use )
    | ( a_select2(xinit_mean_defuse,n0) != use )
    | ( a_select2(xinit_defuse,n5) != use )
    | ( a_select2(xinit_defuse,n4) != use )
    | ( a_select2(xinit_defuse,n3) != use )
    | ( a_select3(u_defuse,n2,n0) != use )
    | ( a_select3(u_defuse,n1,n0) != use )
    | ( a_select3(u_defuse,n0,n0) != use )
    | ( a_select2(sigma_defuse,n5) != use )
    | ( a_select2(sigma_defuse,n4) != use )
    | ( a_select2(sigma_defuse,n3) != use )
    | ( a_select2(sigma_defuse,n2) != use )
    | ( a_select2(sigma_defuse,n1) != use )
    | ( a_select2(sigma_defuse,n0) != use )
    | ( a_select2(rho_defuse,n2) != use )
    | ( a_select2(rho_defuse,n1) != use )
    | ( a_select2(rho_defuse,n0) != use ) ),
    inference(cnfTransformation,[status(thm)],[f_631]) ).

tff(c_675,plain,
    ( leq('#skF_28',n2)
    | ( a_select2(xinit_noise_defuse,n5) != use )
    | ( a_select2(xinit_noise_defuse,n4) != use )
    | ( a_select2(xinit_noise_defuse,n3) != use )
    | ( a_select2(xinit_noise_defuse,n2) != use )
    | ( a_select2(xinit_noise_defuse,n1) != use )
    | ( a_select2(xinit_noise_defuse,n0) != use )
    | ( a_select2(xinit_mean_defuse,n5) != use )
    | ( a_select2(xinit_mean_defuse,n4) != use )
    | ( a_select2(xinit_mean_defuse,n3) != use )
    | ( a_select2(xinit_mean_defuse,n2) != use )
    | ( a_select2(xinit_mean_defuse,n1) != use )
    | ( a_select2(xinit_mean_defuse,n0) != use )
    | ( a_select2(xinit_defuse,n5) != use )
    | ( a_select2(xinit_defuse,n4) != use )
    | ( a_select2(xinit_defuse,n3) != use )
    | ( a_select3(u_defuse,n2,n0) != use )
    | ( a_select3(u_defuse,n1,n0) != use )
    | ( a_select3(u_defuse,n0,n0) != use )
    | ( a_select2(sigma_defuse,n5) != use )
    | ( a_select2(sigma_defuse,n4) != use )
    | ( a_select2(sigma_defuse,n3) != use )
    | ( a_select2(sigma_defuse,n2) != use )
    | ( a_select2(sigma_defuse,n1) != use )
    | ( a_select2(sigma_defuse,n0) != use )
    | ( a_select2(rho_defuse,n2) != use )
    | ( a_select2(rho_defuse,n1) != use ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_568,c_574]) ).

tff(c_685,plain,
    ( leq('#skF_28',n2)
    | ( a_select2(xinit_noise_defuse,n5) != use )
    | ( a_select2(xinit_noise_defuse,n4) != use )
    | ( a_select2(xinit_noise_defuse,n3) != use )
    | ( a_select2(xinit_noise_defuse,n2) != use )
    | ( a_select2(xinit_noise_defuse,n1) != use )
    | ( a_select2(xinit_noise_defuse,n0) != use )
    | ( a_select2(xinit_mean_defuse,n5) != use )
    | ( a_select2(xinit_mean_defuse,n4) != use )
    | ( a_select2(xinit_mean_defuse,n3) != use )
    | ( a_select2(xinit_mean_defuse,n2) != use )
    | ( a_select2(xinit_mean_defuse,n1) != use )
    | ( a_select2(xinit_mean_defuse,n0) != use )
    | ( a_select2(xinit_defuse,n5) != use )
    | ( a_select2(xinit_defuse,n4) != use )
    | ( a_select2(xinit_defuse,n3) != use )
    | ( a_select3(u_defuse,n2,n0) != use )
    | ( a_select3(u_defuse,n1,n0) != use )
    | ( a_select3(u_defuse,n0,n0) != use )
    | ( a_select2(sigma_defuse,n5) != use )
    | ( a_select2(sigma_defuse,n4) != use )
    | ( a_select2(sigma_defuse,n3) != use )
    | ( a_select2(sigma_defuse,n2) != use )
    | ( a_select2(sigma_defuse,n1) != use )
    | ( a_select2(sigma_defuse,n0) != use )
    | ( a_select2(rho_defuse,n2) != use ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_566,c_675]) ).

tff(c_695,plain,
    ( leq('#skF_28',n2)
    | ( a_select2(xinit_noise_defuse,n5) != use )
    | ( a_select2(xinit_noise_defuse,n4) != use )
    | ( a_select2(xinit_noise_defuse,n3) != use )
    | ( a_select2(xinit_noise_defuse,n2) != use )
    | ( a_select2(xinit_noise_defuse,n1) != use )
    | ( a_select2(xinit_noise_defuse,n0) != use )
    | ( a_select2(xinit_mean_defuse,n5) != use )
    | ( a_select2(xinit_mean_defuse,n4) != use )
    | ( a_select2(xinit_mean_defuse,n3) != use )
    | ( a_select2(xinit_mean_defuse,n2) != use )
    | ( a_select2(xinit_mean_defuse,n1) != use )
    | ( a_select2(xinit_mean_defuse,n0) != use )
    | ( a_select2(xinit_defuse,n5) != use )
    | ( a_select2(xinit_defuse,n4) != use )
    | ( a_select2(xinit_defuse,n3) != use )
    | ( a_select3(u_defuse,n2,n0) != use )
    | ( a_select3(u_defuse,n1,n0) != use )
    | ( a_select3(u_defuse,n0,n0) != use )
    | ( a_select2(sigma_defuse,n5) != use )
    | ( a_select2(sigma_defuse,n4) != use )
    | ( a_select2(sigma_defuse,n3) != use )
    | ( a_select2(sigma_defuse,n2) != use )
    | ( a_select2(sigma_defuse,n1) != use )
    | ( a_select2(sigma_defuse,n0) != use ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_564,c_685]) ).

tff(c_705,plain,
    ( leq('#skF_28',n2)
    | ( a_select2(xinit_noise_defuse,n5) != use )
    | ( a_select2(xinit_noise_defuse,n4) != use )
    | ( a_select2(xinit_noise_defuse,n3) != use )
    | ( a_select2(xinit_noise_defuse,n2) != use )
    | ( a_select2(xinit_noise_defuse,n1) != use )
    | ( a_select2(xinit_noise_defuse,n0) != use )
    | ( a_select2(xinit_mean_defuse,n5) != use )
    | ( a_select2(xinit_mean_defuse,n4) != use )
    | ( a_select2(xinit_mean_defuse,n3) != use )
    | ( a_select2(xinit_mean_defuse,n2) != use )
    | ( a_select2(xinit_mean_defuse,n1) != use )
    | ( a_select2(xinit_mean_defuse,n0) != use )
    | ( a_select2(xinit_defuse,n5) != use )
    | ( a_select2(xinit_defuse,n4) != use )
    | ( a_select2(xinit_defuse,n3) != use )
    | ( a_select3(u_defuse,n2,n0) != use )
    | ( a_select3(u_defuse,n1,n0) != use )
    | ( a_select3(u_defuse,n0,n0) != use )
    | ( a_select2(sigma_defuse,n5) != use )
    | ( a_select2(sigma_defuse,n4) != use )
    | ( a_select2(sigma_defuse,n3) != use )
    | ( a_select2(sigma_defuse,n2) != use )
    | ( a_select2(sigma_defuse,n1) != use ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_562,c_695]) ).

tff(c_715,plain,
    ( leq('#skF_28',n2)
    | ( a_select2(xinit_noise_defuse,n5) != use )
    | ( a_select2(xinit_noise_defuse,n4) != use )
    | ( a_select2(xinit_noise_defuse,n3) != use )
    | ( a_select2(xinit_noise_defuse,n2) != use )
    | ( a_select2(xinit_noise_defuse,n1) != use )
    | ( a_select2(xinit_noise_defuse,n0) != use )
    | ( a_select2(xinit_mean_defuse,n5) != use )
    | ( a_select2(xinit_mean_defuse,n4) != use )
    | ( a_select2(xinit_mean_defuse,n3) != use )
    | ( a_select2(xinit_mean_defuse,n2) != use )
    | ( a_select2(xinit_mean_defuse,n1) != use )
    | ( a_select2(xinit_mean_defuse,n0) != use )
    | ( a_select2(xinit_defuse,n5) != use )
    | ( a_select2(xinit_defuse,n4) != use )
    | ( a_select2(xinit_defuse,n3) != use )
    | ( a_select3(u_defuse,n2,n0) != use )
    | ( a_select3(u_defuse,n1,n0) != use )
    | ( a_select3(u_defuse,n0,n0) != use )
    | ( a_select2(sigma_defuse,n5) != use )
    | ( a_select2(sigma_defuse,n4) != use )
    | ( a_select2(sigma_defuse,n3) != use )
    | ( a_select2(sigma_defuse,n2) != use ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_560,c_705]) ).

tff(c_725,plain,
    ( leq('#skF_28',n2)
    | ( a_select2(xinit_noise_defuse,n5) != use )
    | ( a_select2(xinit_noise_defuse,n4) != use )
    | ( a_select2(xinit_noise_defuse,n3) != use )
    | ( a_select2(xinit_noise_defuse,n2) != use )
    | ( a_select2(xinit_noise_defuse,n1) != use )
    | ( a_select2(xinit_noise_defuse,n0) != use )
    | ( a_select2(xinit_mean_defuse,n5) != use )
    | ( a_select2(xinit_mean_defuse,n4) != use )
    | ( a_select2(xinit_mean_defuse,n3) != use )
    | ( a_select2(xinit_mean_defuse,n2) != use )
    | ( a_select2(xinit_mean_defuse,n1) != use )
    | ( a_select2(xinit_mean_defuse,n0) != use )
    | ( a_select2(xinit_defuse,n5) != use )
    | ( a_select2(xinit_defuse,n4) != use )
    | ( a_select2(xinit_defuse,n3) != use )
    | ( a_select3(u_defuse,n2,n0) != use )
    | ( a_select3(u_defuse,n1,n0) != use )
    | ( a_select3(u_defuse,n0,n0) != use )
    | ( a_select2(sigma_defuse,n5) != use )
    | ( a_select2(sigma_defuse,n4) != use )
    | ( a_select2(sigma_defuse,n3) != use ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_558,c_715]) ).

tff(c_735,plain,
    ( leq('#skF_28',n2)
    | ( a_select2(xinit_noise_defuse,n5) != use )
    | ( a_select2(xinit_noise_defuse,n4) != use )
    | ( a_select2(xinit_noise_defuse,n3) != use )
    | ( a_select2(xinit_noise_defuse,n2) != use )
    | ( a_select2(xinit_noise_defuse,n1) != use )
    | ( a_select2(xinit_noise_defuse,n0) != use )
    | ( a_select2(xinit_mean_defuse,n5) != use )
    | ( a_select2(xinit_mean_defuse,n4) != use )
    | ( a_select2(xinit_mean_defuse,n3) != use )
    | ( a_select2(xinit_mean_defuse,n2) != use )
    | ( a_select2(xinit_mean_defuse,n1) != use )
    | ( a_select2(xinit_mean_defuse,n0) != use )
    | ( a_select2(xinit_defuse,n5) != use )
    | ( a_select2(xinit_defuse,n4) != use )
    | ( a_select2(xinit_defuse,n3) != use )
    | ( a_select3(u_defuse,n2,n0) != use )
    | ( a_select3(u_defuse,n1,n0) != use )
    | ( a_select3(u_defuse,n0,n0) != use )
    | ( a_select2(sigma_defuse,n5) != use )
    | ( a_select2(sigma_defuse,n4) != use ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_556,c_725]) ).

tff(c_745,plain,
    ( leq('#skF_28',n2)
    | ( a_select2(xinit_noise_defuse,n5) != use )
    | ( a_select2(xinit_noise_defuse,n4) != use )
    | ( a_select2(xinit_noise_defuse,n3) != use )
    | ( a_select2(xinit_noise_defuse,n2) != use )
    | ( a_select2(xinit_noise_defuse,n1) != use )
    | ( a_select2(xinit_noise_defuse,n0) != use )
    | ( a_select2(xinit_mean_defuse,n5) != use )
    | ( a_select2(xinit_mean_defuse,n4) != use )
    | ( a_select2(xinit_mean_defuse,n3) != use )
    | ( a_select2(xinit_mean_defuse,n2) != use )
    | ( a_select2(xinit_mean_defuse,n1) != use )
    | ( a_select2(xinit_mean_defuse,n0) != use )
    | ( a_select2(xinit_defuse,n5) != use )
    | ( a_select2(xinit_defuse,n4) != use )
    | ( a_select2(xinit_defuse,n3) != use )
    | ( a_select3(u_defuse,n2,n0) != use )
    | ( a_select3(u_defuse,n1,n0) != use )
    | ( a_select3(u_defuse,n0,n0) != use )
    | ( a_select2(sigma_defuse,n5) != use ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_554,c_735]) ).

tff(c_755,plain,
    ( leq('#skF_28',n2)
    | ( a_select2(xinit_noise_defuse,n5) != use )
    | ( a_select2(xinit_noise_defuse,n4) != use )
    | ( a_select2(xinit_noise_defuse,n3) != use )
    | ( a_select2(xinit_noise_defuse,n2) != use )
    | ( a_select2(xinit_noise_defuse,n1) != use )
    | ( a_select2(xinit_noise_defuse,n0) != use )
    | ( a_select2(xinit_mean_defuse,n5) != use )
    | ( a_select2(xinit_mean_defuse,n4) != use )
    | ( a_select2(xinit_mean_defuse,n3) != use )
    | ( a_select2(xinit_mean_defuse,n2) != use )
    | ( a_select2(xinit_mean_defuse,n1) != use )
    | ( a_select2(xinit_mean_defuse,n0) != use )
    | ( a_select2(xinit_defuse,n5) != use )
    | ( a_select2(xinit_defuse,n4) != use )
    | ( a_select2(xinit_defuse,n3) != use )
    | ( a_select3(u_defuse,n2,n0) != use )
    | ( a_select3(u_defuse,n1,n0) != use )
    | ( a_select3(u_defuse,n0,n0) != use ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_552,c_745]) ).

tff(c_765,plain,
    ( leq('#skF_28',n2)
    | ( a_select2(xinit_noise_defuse,n5) != use )
    | ( a_select2(xinit_noise_defuse,n4) != use )
    | ( a_select2(xinit_noise_defuse,n3) != use )
    | ( a_select2(xinit_noise_defuse,n2) != use )
    | ( a_select2(xinit_noise_defuse,n1) != use )
    | ( a_select2(xinit_noise_defuse,n0) != use )
    | ( a_select2(xinit_mean_defuse,n5) != use )
    | ( a_select2(xinit_mean_defuse,n4) != use )
    | ( a_select2(xinit_mean_defuse,n3) != use )
    | ( a_select2(xinit_mean_defuse,n2) != use )
    | ( a_select2(xinit_mean_defuse,n1) != use )
    | ( a_select2(xinit_mean_defuse,n0) != use )
    | ( a_select2(xinit_defuse,n5) != use )
    | ( a_select2(xinit_defuse,n4) != use )
    | ( a_select2(xinit_defuse,n3) != use )
    | ( a_select3(u_defuse,n2,n0) != use )
    | ( a_select3(u_defuse,n1,n0) != use ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_550,c_755]) ).

tff(c_775,plain,
    ( leq('#skF_28',n2)
    | ( a_select2(xinit_noise_defuse,n5) != use )
    | ( a_select2(xinit_noise_defuse,n4) != use )
    | ( a_select2(xinit_noise_defuse,n3) != use )
    | ( a_select2(xinit_noise_defuse,n2) != use )
    | ( a_select2(xinit_noise_defuse,n1) != use )
    | ( a_select2(xinit_noise_defuse,n0) != use )
    | ( a_select2(xinit_mean_defuse,n5) != use )
    | ( a_select2(xinit_mean_defuse,n4) != use )
    | ( a_select2(xinit_mean_defuse,n3) != use )
    | ( a_select2(xinit_mean_defuse,n2) != use )
    | ( a_select2(xinit_mean_defuse,n1) != use )
    | ( a_select2(xinit_mean_defuse,n0) != use )
    | ( a_select2(xinit_defuse,n5) != use )
    | ( a_select2(xinit_defuse,n4) != use )
    | ( a_select2(xinit_defuse,n3) != use )
    | ( a_select3(u_defuse,n2,n0) != use ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_548,c_765]) ).

tff(c_785,plain,
    ( leq('#skF_28',n2)
    | ( a_select2(xinit_noise_defuse,n5) != use )
    | ( a_select2(xinit_noise_defuse,n4) != use )
    | ( a_select2(xinit_noise_defuse,n3) != use )
    | ( a_select2(xinit_noise_defuse,n2) != use )
    | ( a_select2(xinit_noise_defuse,n1) != use )
    | ( a_select2(xinit_noise_defuse,n0) != use )
    | ( a_select2(xinit_mean_defuse,n5) != use )
    | ( a_select2(xinit_mean_defuse,n4) != use )
    | ( a_select2(xinit_mean_defuse,n3) != use )
    | ( a_select2(xinit_mean_defuse,n2) != use )
    | ( a_select2(xinit_mean_defuse,n1) != use )
    | ( a_select2(xinit_mean_defuse,n0) != use )
    | ( a_select2(xinit_defuse,n5) != use )
    | ( a_select2(xinit_defuse,n4) != use )
    | ( a_select2(xinit_defuse,n3) != use ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_546,c_775]) ).

tff(c_795,plain,
    ( leq('#skF_28',n2)
    | ( a_select2(xinit_noise_defuse,n5) != use )
    | ( a_select2(xinit_noise_defuse,n4) != use )
    | ( a_select2(xinit_noise_defuse,n3) != use )
    | ( a_select2(xinit_noise_defuse,n2) != use )
    | ( a_select2(xinit_noise_defuse,n1) != use )
    | ( a_select2(xinit_noise_defuse,n0) != use )
    | ( a_select2(xinit_mean_defuse,n5) != use )
    | ( a_select2(xinit_mean_defuse,n4) != use )
    | ( a_select2(xinit_mean_defuse,n3) != use )
    | ( a_select2(xinit_mean_defuse,n2) != use )
    | ( a_select2(xinit_mean_defuse,n1) != use )
    | ( a_select2(xinit_mean_defuse,n0) != use )
    | ( a_select2(xinit_defuse,n5) != use )
    | ( a_select2(xinit_defuse,n4) != use ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_544,c_785]) ).

tff(c_805,plain,
    ( leq('#skF_28',n2)
    | ( a_select2(xinit_noise_defuse,n5) != use )
    | ( a_select2(xinit_noise_defuse,n4) != use )
    | ( a_select2(xinit_noise_defuse,n3) != use )
    | ( a_select2(xinit_noise_defuse,n2) != use )
    | ( a_select2(xinit_noise_defuse,n1) != use )
    | ( a_select2(xinit_noise_defuse,n0) != use )
    | ( a_select2(xinit_mean_defuse,n5) != use )
    | ( a_select2(xinit_mean_defuse,n4) != use )
    | ( a_select2(xinit_mean_defuse,n3) != use )
    | ( a_select2(xinit_mean_defuse,n2) != use )
    | ( a_select2(xinit_mean_defuse,n1) != use )
    | ( a_select2(xinit_mean_defuse,n0) != use )
    | ( a_select2(xinit_defuse,n5) != use ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_542,c_795]) ).

tff(c_815,plain,
    ( leq('#skF_28',n2)
    | ( a_select2(xinit_noise_defuse,n5) != use )
    | ( a_select2(xinit_noise_defuse,n4) != use )
    | ( a_select2(xinit_noise_defuse,n3) != use )
    | ( a_select2(xinit_noise_defuse,n2) != use )
    | ( a_select2(xinit_noise_defuse,n1) != use )
    | ( a_select2(xinit_noise_defuse,n0) != use )
    | ( a_select2(xinit_mean_defuse,n5) != use )
    | ( a_select2(xinit_mean_defuse,n4) != use )
    | ( a_select2(xinit_mean_defuse,n3) != use )
    | ( a_select2(xinit_mean_defuse,n2) != use )
    | ( a_select2(xinit_mean_defuse,n1) != use )
    | ( a_select2(xinit_mean_defuse,n0) != use ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_540,c_805]) ).

tff(c_825,plain,
    ( leq('#skF_28',n2)
    | ( a_select2(xinit_noise_defuse,n5) != use )
    | ( a_select2(xinit_noise_defuse,n4) != use )
    | ( a_select2(xinit_noise_defuse,n3) != use )
    | ( a_select2(xinit_noise_defuse,n2) != use )
    | ( a_select2(xinit_noise_defuse,n1) != use )
    | ( a_select2(xinit_noise_defuse,n0) != use )
    | ( a_select2(xinit_mean_defuse,n5) != use )
    | ( a_select2(xinit_mean_defuse,n4) != use )
    | ( a_select2(xinit_mean_defuse,n3) != use )
    | ( a_select2(xinit_mean_defuse,n2) != use )
    | ( a_select2(xinit_mean_defuse,n1) != use ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_538,c_815]) ).

tff(c_835,plain,
    ( leq('#skF_28',n2)
    | ( a_select2(xinit_noise_defuse,n5) != use )
    | ( a_select2(xinit_noise_defuse,n4) != use )
    | ( a_select2(xinit_noise_defuse,n3) != use )
    | ( a_select2(xinit_noise_defuse,n2) != use )
    | ( a_select2(xinit_noise_defuse,n1) != use )
    | ( a_select2(xinit_noise_defuse,n0) != use )
    | ( a_select2(xinit_mean_defuse,n5) != use )
    | ( a_select2(xinit_mean_defuse,n4) != use )
    | ( a_select2(xinit_mean_defuse,n3) != use )
    | ( a_select2(xinit_mean_defuse,n2) != use ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_536,c_825]) ).

tff(c_845,plain,
    ( leq('#skF_28',n2)
    | ( a_select2(xinit_noise_defuse,n5) != use )
    | ( a_select2(xinit_noise_defuse,n4) != use )
    | ( a_select2(xinit_noise_defuse,n3) != use )
    | ( a_select2(xinit_noise_defuse,n2) != use )
    | ( a_select2(xinit_noise_defuse,n1) != use )
    | ( a_select2(xinit_noise_defuse,n0) != use )
    | ( a_select2(xinit_mean_defuse,n5) != use )
    | ( a_select2(xinit_mean_defuse,n4) != use )
    | ( a_select2(xinit_mean_defuse,n3) != use ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_534,c_835]) ).

tff(c_855,plain,
    ( leq('#skF_28',n2)
    | ( a_select2(xinit_noise_defuse,n5) != use )
    | ( a_select2(xinit_noise_defuse,n4) != use )
    | ( a_select2(xinit_noise_defuse,n3) != use )
    | ( a_select2(xinit_noise_defuse,n2) != use )
    | ( a_select2(xinit_noise_defuse,n1) != use )
    | ( a_select2(xinit_noise_defuse,n0) != use )
    | ( a_select2(xinit_mean_defuse,n5) != use )
    | ( a_select2(xinit_mean_defuse,n4) != use ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_532,c_845]) ).

tff(c_865,plain,
    ( leq('#skF_28',n2)
    | ( a_select2(xinit_noise_defuse,n5) != use )
    | ( a_select2(xinit_noise_defuse,n4) != use )
    | ( a_select2(xinit_noise_defuse,n3) != use )
    | ( a_select2(xinit_noise_defuse,n2) != use )
    | ( a_select2(xinit_noise_defuse,n1) != use )
    | ( a_select2(xinit_noise_defuse,n0) != use )
    | ( a_select2(xinit_mean_defuse,n5) != use ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_530,c_855]) ).

tff(c_875,plain,
    ( leq('#skF_28',n2)
    | ( a_select2(xinit_noise_defuse,n5) != use )
    | ( a_select2(xinit_noise_defuse,n4) != use )
    | ( a_select2(xinit_noise_defuse,n3) != use )
    | ( a_select2(xinit_noise_defuse,n2) != use )
    | ( a_select2(xinit_noise_defuse,n1) != use )
    | ( a_select2(xinit_noise_defuse,n0) != use ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_528,c_865]) ).

tff(c_885,plain,
    ( leq('#skF_28',n2)
    | ( a_select2(xinit_noise_defuse,n5) != use )
    | ( a_select2(xinit_noise_defuse,n4) != use )
    | ( a_select2(xinit_noise_defuse,n3) != use )
    | ( a_select2(xinit_noise_defuse,n2) != use )
    | ( a_select2(xinit_noise_defuse,n1) != use ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_526,c_875]) ).

tff(c_895,plain,
    ( leq('#skF_28',n2)
    | ( a_select2(xinit_noise_defuse,n5) != use )
    | ( a_select2(xinit_noise_defuse,n4) != use )
    | ( a_select2(xinit_noise_defuse,n3) != use )
    | ( a_select2(xinit_noise_defuse,n2) != use ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_524,c_885]) ).

tff(c_905,plain,
    ( leq('#skF_28',n2)
    | ( a_select2(xinit_noise_defuse,n5) != use )
    | ( a_select2(xinit_noise_defuse,n4) != use )
    | ( a_select2(xinit_noise_defuse,n3) != use ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_522,c_895]) ).

tff(c_915,plain,
    ( leq('#skF_28',n2)
    | ( a_select2(xinit_noise_defuse,n5) != use )
    | ( a_select2(xinit_noise_defuse,n4) != use ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_520,c_905]) ).

tff(c_925,plain,
    ( leq('#skF_28',n2)
    | ( a_select2(xinit_noise_defuse,n5) != use ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_518,c_915]) ).

tff(c_931,plain,
    leq('#skF_28',n2),
    inference(demodulation,[status(thm),theory(equality)],[c_516,c_925]) ).

tff(c_576,plain,
    ( leq(n0,'#skF_29')
    | ( a_select2(xinit_noise_defuse,n5) != use )
    | ( a_select2(xinit_noise_defuse,n4) != use )
    | ( a_select2(xinit_noise_defuse,n3) != use )
    | ( a_select2(xinit_noise_defuse,n2) != use )
    | ( a_select2(xinit_noise_defuse,n1) != use )
    | ( a_select2(xinit_noise_defuse,n0) != use )
    | ( a_select2(xinit_mean_defuse,n5) != use )
    | ( a_select2(xinit_mean_defuse,n4) != use )
    | ( a_select2(xinit_mean_defuse,n3) != use )
    | ( a_select2(xinit_mean_defuse,n2) != use )
    | ( a_select2(xinit_mean_defuse,n1) != use )
    | ( a_select2(xinit_mean_defuse,n0) != use )
    | ( a_select2(xinit_defuse,n5) != use )
    | ( a_select2(xinit_defuse,n4) != use )
    | ( a_select2(xinit_defuse,n3) != use )
    | ( a_select3(u_defuse,n2,n0) != use )
    | ( a_select3(u_defuse,n1,n0) != use )
    | ( a_select3(u_defuse,n0,n0) != use )
    | ( a_select2(sigma_defuse,n5) != use )
    | ( a_select2(sigma_defuse,n4) != use )
    | ( a_select2(sigma_defuse,n3) != use )
    | ( a_select2(sigma_defuse,n2) != use )
    | ( a_select2(sigma_defuse,n1) != use )
    | ( a_select2(sigma_defuse,n0) != use )
    | ( a_select2(rho_defuse,n2) != use )
    | ( a_select2(rho_defuse,n1) != use )
    | ( a_select2(rho_defuse,n0) != use ) ),
    inference(cnfTransformation,[status(thm)],[f_631]) ).

tff(c_673,plain,
    ( leq(n0,'#skF_29')
    | ( a_select2(xinit_noise_defuse,n5) != use )
    | ( a_select2(xinit_noise_defuse,n4) != use )
    | ( a_select2(xinit_noise_defuse,n3) != use )
    | ( a_select2(xinit_noise_defuse,n2) != use )
    | ( a_select2(xinit_noise_defuse,n1) != use )
    | ( a_select2(xinit_noise_defuse,n0) != use )
    | ( a_select2(xinit_mean_defuse,n5) != use )
    | ( a_select2(xinit_mean_defuse,n4) != use )
    | ( a_select2(xinit_mean_defuse,n3) != use )
    | ( a_select2(xinit_mean_defuse,n2) != use )
    | ( a_select2(xinit_mean_defuse,n1) != use )
    | ( a_select2(xinit_mean_defuse,n0) != use )
    | ( a_select2(xinit_defuse,n5) != use )
    | ( a_select2(xinit_defuse,n4) != use )
    | ( a_select2(xinit_defuse,n3) != use )
    | ( a_select3(u_defuse,n2,n0) != use )
    | ( a_select3(u_defuse,n1,n0) != use )
    | ( a_select3(u_defuse,n0,n0) != use )
    | ( a_select2(sigma_defuse,n5) != use )
    | ( a_select2(sigma_defuse,n4) != use )
    | ( a_select2(sigma_defuse,n3) != use )
    | ( a_select2(sigma_defuse,n2) != use )
    | ( a_select2(sigma_defuse,n1) != use )
    | ( a_select2(sigma_defuse,n0) != use )
    | ( a_select2(rho_defuse,n2) != use )
    | ( a_select2(rho_defuse,n1) != use ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_568,c_576]) ).

tff(c_683,plain,
    ( leq(n0,'#skF_29')
    | ( a_select2(xinit_noise_defuse,n5) != use )
    | ( a_select2(xinit_noise_defuse,n4) != use )
    | ( a_select2(xinit_noise_defuse,n3) != use )
    | ( a_select2(xinit_noise_defuse,n2) != use )
    | ( a_select2(xinit_noise_defuse,n1) != use )
    | ( a_select2(xinit_noise_defuse,n0) != use )
    | ( a_select2(xinit_mean_defuse,n5) != use )
    | ( a_select2(xinit_mean_defuse,n4) != use )
    | ( a_select2(xinit_mean_defuse,n3) != use )
    | ( a_select2(xinit_mean_defuse,n2) != use )
    | ( a_select2(xinit_mean_defuse,n1) != use )
    | ( a_select2(xinit_mean_defuse,n0) != use )
    | ( a_select2(xinit_defuse,n5) != use )
    | ( a_select2(xinit_defuse,n4) != use )
    | ( a_select2(xinit_defuse,n3) != use )
    | ( a_select3(u_defuse,n2,n0) != use )
    | ( a_select3(u_defuse,n1,n0) != use )
    | ( a_select3(u_defuse,n0,n0) != use )
    | ( a_select2(sigma_defuse,n5) != use )
    | ( a_select2(sigma_defuse,n4) != use )
    | ( a_select2(sigma_defuse,n3) != use )
    | ( a_select2(sigma_defuse,n2) != use )
    | ( a_select2(sigma_defuse,n1) != use )
    | ( a_select2(sigma_defuse,n0) != use )
    | ( a_select2(rho_defuse,n2) != use ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_566,c_673]) ).

tff(c_693,plain,
    ( leq(n0,'#skF_29')
    | ( a_select2(xinit_noise_defuse,n5) != use )
    | ( a_select2(xinit_noise_defuse,n4) != use )
    | ( a_select2(xinit_noise_defuse,n3) != use )
    | ( a_select2(xinit_noise_defuse,n2) != use )
    | ( a_select2(xinit_noise_defuse,n1) != use )
    | ( a_select2(xinit_noise_defuse,n0) != use )
    | ( a_select2(xinit_mean_defuse,n5) != use )
    | ( a_select2(xinit_mean_defuse,n4) != use )
    | ( a_select2(xinit_mean_defuse,n3) != use )
    | ( a_select2(xinit_mean_defuse,n2) != use )
    | ( a_select2(xinit_mean_defuse,n1) != use )
    | ( a_select2(xinit_mean_defuse,n0) != use )
    | ( a_select2(xinit_defuse,n5) != use )
    | ( a_select2(xinit_defuse,n4) != use )
    | ( a_select2(xinit_defuse,n3) != use )
    | ( a_select3(u_defuse,n2,n0) != use )
    | ( a_select3(u_defuse,n1,n0) != use )
    | ( a_select3(u_defuse,n0,n0) != use )
    | ( a_select2(sigma_defuse,n5) != use )
    | ( a_select2(sigma_defuse,n4) != use )
    | ( a_select2(sigma_defuse,n3) != use )
    | ( a_select2(sigma_defuse,n2) != use )
    | ( a_select2(sigma_defuse,n1) != use )
    | ( a_select2(sigma_defuse,n0) != use ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_564,c_683]) ).

tff(c_703,plain,
    ( leq(n0,'#skF_29')
    | ( a_select2(xinit_noise_defuse,n5) != use )
    | ( a_select2(xinit_noise_defuse,n4) != use )
    | ( a_select2(xinit_noise_defuse,n3) != use )
    | ( a_select2(xinit_noise_defuse,n2) != use )
    | ( a_select2(xinit_noise_defuse,n1) != use )
    | ( a_select2(xinit_noise_defuse,n0) != use )
    | ( a_select2(xinit_mean_defuse,n5) != use )
    | ( a_select2(xinit_mean_defuse,n4) != use )
    | ( a_select2(xinit_mean_defuse,n3) != use )
    | ( a_select2(xinit_mean_defuse,n2) != use )
    | ( a_select2(xinit_mean_defuse,n1) != use )
    | ( a_select2(xinit_mean_defuse,n0) != use )
    | ( a_select2(xinit_defuse,n5) != use )
    | ( a_select2(xinit_defuse,n4) != use )
    | ( a_select2(xinit_defuse,n3) != use )
    | ( a_select3(u_defuse,n2,n0) != use )
    | ( a_select3(u_defuse,n1,n0) != use )
    | ( a_select3(u_defuse,n0,n0) != use )
    | ( a_select2(sigma_defuse,n5) != use )
    | ( a_select2(sigma_defuse,n4) != use )
    | ( a_select2(sigma_defuse,n3) != use )
    | ( a_select2(sigma_defuse,n2) != use )
    | ( a_select2(sigma_defuse,n1) != use ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_562,c_693]) ).

tff(c_713,plain,
    ( leq(n0,'#skF_29')
    | ( a_select2(xinit_noise_defuse,n5) != use )
    | ( a_select2(xinit_noise_defuse,n4) != use )
    | ( a_select2(xinit_noise_defuse,n3) != use )
    | ( a_select2(xinit_noise_defuse,n2) != use )
    | ( a_select2(xinit_noise_defuse,n1) != use )
    | ( a_select2(xinit_noise_defuse,n0) != use )
    | ( a_select2(xinit_mean_defuse,n5) != use )
    | ( a_select2(xinit_mean_defuse,n4) != use )
    | ( a_select2(xinit_mean_defuse,n3) != use )
    | ( a_select2(xinit_mean_defuse,n2) != use )
    | ( a_select2(xinit_mean_defuse,n1) != use )
    | ( a_select2(xinit_mean_defuse,n0) != use )
    | ( a_select2(xinit_defuse,n5) != use )
    | ( a_select2(xinit_defuse,n4) != use )
    | ( a_select2(xinit_defuse,n3) != use )
    | ( a_select3(u_defuse,n2,n0) != use )
    | ( a_select3(u_defuse,n1,n0) != use )
    | ( a_select3(u_defuse,n0,n0) != use )
    | ( a_select2(sigma_defuse,n5) != use )
    | ( a_select2(sigma_defuse,n4) != use )
    | ( a_select2(sigma_defuse,n3) != use )
    | ( a_select2(sigma_defuse,n2) != use ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_560,c_703]) ).

tff(c_723,plain,
    ( leq(n0,'#skF_29')
    | ( a_select2(xinit_noise_defuse,n5) != use )
    | ( a_select2(xinit_noise_defuse,n4) != use )
    | ( a_select2(xinit_noise_defuse,n3) != use )
    | ( a_select2(xinit_noise_defuse,n2) != use )
    | ( a_select2(xinit_noise_defuse,n1) != use )
    | ( a_select2(xinit_noise_defuse,n0) != use )
    | ( a_select2(xinit_mean_defuse,n5) != use )
    | ( a_select2(xinit_mean_defuse,n4) != use )
    | ( a_select2(xinit_mean_defuse,n3) != use )
    | ( a_select2(xinit_mean_defuse,n2) != use )
    | ( a_select2(xinit_mean_defuse,n1) != use )
    | ( a_select2(xinit_mean_defuse,n0) != use )
    | ( a_select2(xinit_defuse,n5) != use )
    | ( a_select2(xinit_defuse,n4) != use )
    | ( a_select2(xinit_defuse,n3) != use )
    | ( a_select3(u_defuse,n2,n0) != use )
    | ( a_select3(u_defuse,n1,n0) != use )
    | ( a_select3(u_defuse,n0,n0) != use )
    | ( a_select2(sigma_defuse,n5) != use )
    | ( a_select2(sigma_defuse,n4) != use )
    | ( a_select2(sigma_defuse,n3) != use ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_558,c_713]) ).

tff(c_733,plain,
    ( leq(n0,'#skF_29')
    | ( a_select2(xinit_noise_defuse,n5) != use )
    | ( a_select2(xinit_noise_defuse,n4) != use )
    | ( a_select2(xinit_noise_defuse,n3) != use )
    | ( a_select2(xinit_noise_defuse,n2) != use )
    | ( a_select2(xinit_noise_defuse,n1) != use )
    | ( a_select2(xinit_noise_defuse,n0) != use )
    | ( a_select2(xinit_mean_defuse,n5) != use )
    | ( a_select2(xinit_mean_defuse,n4) != use )
    | ( a_select2(xinit_mean_defuse,n3) != use )
    | ( a_select2(xinit_mean_defuse,n2) != use )
    | ( a_select2(xinit_mean_defuse,n1) != use )
    | ( a_select2(xinit_mean_defuse,n0) != use )
    | ( a_select2(xinit_defuse,n5) != use )
    | ( a_select2(xinit_defuse,n4) != use )
    | ( a_select2(xinit_defuse,n3) != use )
    | ( a_select3(u_defuse,n2,n0) != use )
    | ( a_select3(u_defuse,n1,n0) != use )
    | ( a_select3(u_defuse,n0,n0) != use )
    | ( a_select2(sigma_defuse,n5) != use )
    | ( a_select2(sigma_defuse,n4) != use ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_556,c_723]) ).

tff(c_743,plain,
    ( leq(n0,'#skF_29')
    | ( a_select2(xinit_noise_defuse,n5) != use )
    | ( a_select2(xinit_noise_defuse,n4) != use )
    | ( a_select2(xinit_noise_defuse,n3) != use )
    | ( a_select2(xinit_noise_defuse,n2) != use )
    | ( a_select2(xinit_noise_defuse,n1) != use )
    | ( a_select2(xinit_noise_defuse,n0) != use )
    | ( a_select2(xinit_mean_defuse,n5) != use )
    | ( a_select2(xinit_mean_defuse,n4) != use )
    | ( a_select2(xinit_mean_defuse,n3) != use )
    | ( a_select2(xinit_mean_defuse,n2) != use )
    | ( a_select2(xinit_mean_defuse,n1) != use )
    | ( a_select2(xinit_mean_defuse,n0) != use )
    | ( a_select2(xinit_defuse,n5) != use )
    | ( a_select2(xinit_defuse,n4) != use )
    | ( a_select2(xinit_defuse,n3) != use )
    | ( a_select3(u_defuse,n2,n0) != use )
    | ( a_select3(u_defuse,n1,n0) != use )
    | ( a_select3(u_defuse,n0,n0) != use )
    | ( a_select2(sigma_defuse,n5) != use ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_554,c_733]) ).

tff(c_753,plain,
    ( leq(n0,'#skF_29')
    | ( a_select2(xinit_noise_defuse,n5) != use )
    | ( a_select2(xinit_noise_defuse,n4) != use )
    | ( a_select2(xinit_noise_defuse,n3) != use )
    | ( a_select2(xinit_noise_defuse,n2) != use )
    | ( a_select2(xinit_noise_defuse,n1) != use )
    | ( a_select2(xinit_noise_defuse,n0) != use )
    | ( a_select2(xinit_mean_defuse,n5) != use )
    | ( a_select2(xinit_mean_defuse,n4) != use )
    | ( a_select2(xinit_mean_defuse,n3) != use )
    | ( a_select2(xinit_mean_defuse,n2) != use )
    | ( a_select2(xinit_mean_defuse,n1) != use )
    | ( a_select2(xinit_mean_defuse,n0) != use )
    | ( a_select2(xinit_defuse,n5) != use )
    | ( a_select2(xinit_defuse,n4) != use )
    | ( a_select2(xinit_defuse,n3) != use )
    | ( a_select3(u_defuse,n2,n0) != use )
    | ( a_select3(u_defuse,n1,n0) != use )
    | ( a_select3(u_defuse,n0,n0) != use ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_552,c_743]) ).

tff(c_763,plain,
    ( leq(n0,'#skF_29')
    | ( a_select2(xinit_noise_defuse,n5) != use )
    | ( a_select2(xinit_noise_defuse,n4) != use )
    | ( a_select2(xinit_noise_defuse,n3) != use )
    | ( a_select2(xinit_noise_defuse,n2) != use )
    | ( a_select2(xinit_noise_defuse,n1) != use )
    | ( a_select2(xinit_noise_defuse,n0) != use )
    | ( a_select2(xinit_mean_defuse,n5) != use )
    | ( a_select2(xinit_mean_defuse,n4) != use )
    | ( a_select2(xinit_mean_defuse,n3) != use )
    | ( a_select2(xinit_mean_defuse,n2) != use )
    | ( a_select2(xinit_mean_defuse,n1) != use )
    | ( a_select2(xinit_mean_defuse,n0) != use )
    | ( a_select2(xinit_defuse,n5) != use )
    | ( a_select2(xinit_defuse,n4) != use )
    | ( a_select2(xinit_defuse,n3) != use )
    | ( a_select3(u_defuse,n2,n0) != use )
    | ( a_select3(u_defuse,n1,n0) != use ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_550,c_753]) ).

tff(c_773,plain,
    ( leq(n0,'#skF_29')
    | ( a_select2(xinit_noise_defuse,n5) != use )
    | ( a_select2(xinit_noise_defuse,n4) != use )
    | ( a_select2(xinit_noise_defuse,n3) != use )
    | ( a_select2(xinit_noise_defuse,n2) != use )
    | ( a_select2(xinit_noise_defuse,n1) != use )
    | ( a_select2(xinit_noise_defuse,n0) != use )
    | ( a_select2(xinit_mean_defuse,n5) != use )
    | ( a_select2(xinit_mean_defuse,n4) != use )
    | ( a_select2(xinit_mean_defuse,n3) != use )
    | ( a_select2(xinit_mean_defuse,n2) != use )
    | ( a_select2(xinit_mean_defuse,n1) != use )
    | ( a_select2(xinit_mean_defuse,n0) != use )
    | ( a_select2(xinit_defuse,n5) != use )
    | ( a_select2(xinit_defuse,n4) != use )
    | ( a_select2(xinit_defuse,n3) != use )
    | ( a_select3(u_defuse,n2,n0) != use ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_548,c_763]) ).

tff(c_783,plain,
    ( leq(n0,'#skF_29')
    | ( a_select2(xinit_noise_defuse,n5) != use )
    | ( a_select2(xinit_noise_defuse,n4) != use )
    | ( a_select2(xinit_noise_defuse,n3) != use )
    | ( a_select2(xinit_noise_defuse,n2) != use )
    | ( a_select2(xinit_noise_defuse,n1) != use )
    | ( a_select2(xinit_noise_defuse,n0) != use )
    | ( a_select2(xinit_mean_defuse,n5) != use )
    | ( a_select2(xinit_mean_defuse,n4) != use )
    | ( a_select2(xinit_mean_defuse,n3) != use )
    | ( a_select2(xinit_mean_defuse,n2) != use )
    | ( a_select2(xinit_mean_defuse,n1) != use )
    | ( a_select2(xinit_mean_defuse,n0) != use )
    | ( a_select2(xinit_defuse,n5) != use )
    | ( a_select2(xinit_defuse,n4) != use )
    | ( a_select2(xinit_defuse,n3) != use ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_546,c_773]) ).

tff(c_793,plain,
    ( leq(n0,'#skF_29')
    | ( a_select2(xinit_noise_defuse,n5) != use )
    | ( a_select2(xinit_noise_defuse,n4) != use )
    | ( a_select2(xinit_noise_defuse,n3) != use )
    | ( a_select2(xinit_noise_defuse,n2) != use )
    | ( a_select2(xinit_noise_defuse,n1) != use )
    | ( a_select2(xinit_noise_defuse,n0) != use )
    | ( a_select2(xinit_mean_defuse,n5) != use )
    | ( a_select2(xinit_mean_defuse,n4) != use )
    | ( a_select2(xinit_mean_defuse,n3) != use )
    | ( a_select2(xinit_mean_defuse,n2) != use )
    | ( a_select2(xinit_mean_defuse,n1) != use )
    | ( a_select2(xinit_mean_defuse,n0) != use )
    | ( a_select2(xinit_defuse,n5) != use )
    | ( a_select2(xinit_defuse,n4) != use ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_544,c_783]) ).

tff(c_803,plain,
    ( leq(n0,'#skF_29')
    | ( a_select2(xinit_noise_defuse,n5) != use )
    | ( a_select2(xinit_noise_defuse,n4) != use )
    | ( a_select2(xinit_noise_defuse,n3) != use )
    | ( a_select2(xinit_noise_defuse,n2) != use )
    | ( a_select2(xinit_noise_defuse,n1) != use )
    | ( a_select2(xinit_noise_defuse,n0) != use )
    | ( a_select2(xinit_mean_defuse,n5) != use )
    | ( a_select2(xinit_mean_defuse,n4) != use )
    | ( a_select2(xinit_mean_defuse,n3) != use )
    | ( a_select2(xinit_mean_defuse,n2) != use )
    | ( a_select2(xinit_mean_defuse,n1) != use )
    | ( a_select2(xinit_mean_defuse,n0) != use )
    | ( a_select2(xinit_defuse,n5) != use ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_542,c_793]) ).

tff(c_813,plain,
    ( leq(n0,'#skF_29')
    | ( a_select2(xinit_noise_defuse,n5) != use )
    | ( a_select2(xinit_noise_defuse,n4) != use )
    | ( a_select2(xinit_noise_defuse,n3) != use )
    | ( a_select2(xinit_noise_defuse,n2) != use )
    | ( a_select2(xinit_noise_defuse,n1) != use )
    | ( a_select2(xinit_noise_defuse,n0) != use )
    | ( a_select2(xinit_mean_defuse,n5) != use )
    | ( a_select2(xinit_mean_defuse,n4) != use )
    | ( a_select2(xinit_mean_defuse,n3) != use )
    | ( a_select2(xinit_mean_defuse,n2) != use )
    | ( a_select2(xinit_mean_defuse,n1) != use )
    | ( a_select2(xinit_mean_defuse,n0) != use ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_540,c_803]) ).

tff(c_823,plain,
    ( leq(n0,'#skF_29')
    | ( a_select2(xinit_noise_defuse,n5) != use )
    | ( a_select2(xinit_noise_defuse,n4) != use )
    | ( a_select2(xinit_noise_defuse,n3) != use )
    | ( a_select2(xinit_noise_defuse,n2) != use )
    | ( a_select2(xinit_noise_defuse,n1) != use )
    | ( a_select2(xinit_noise_defuse,n0) != use )
    | ( a_select2(xinit_mean_defuse,n5) != use )
    | ( a_select2(xinit_mean_defuse,n4) != use )
    | ( a_select2(xinit_mean_defuse,n3) != use )
    | ( a_select2(xinit_mean_defuse,n2) != use )
    | ( a_select2(xinit_mean_defuse,n1) != use ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_538,c_813]) ).

tff(c_833,plain,
    ( leq(n0,'#skF_29')
    | ( a_select2(xinit_noise_defuse,n5) != use )
    | ( a_select2(xinit_noise_defuse,n4) != use )
    | ( a_select2(xinit_noise_defuse,n3) != use )
    | ( a_select2(xinit_noise_defuse,n2) != use )
    | ( a_select2(xinit_noise_defuse,n1) != use )
    | ( a_select2(xinit_noise_defuse,n0) != use )
    | ( a_select2(xinit_mean_defuse,n5) != use )
    | ( a_select2(xinit_mean_defuse,n4) != use )
    | ( a_select2(xinit_mean_defuse,n3) != use )
    | ( a_select2(xinit_mean_defuse,n2) != use ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_536,c_823]) ).

tff(c_843,plain,
    ( leq(n0,'#skF_29')
    | ( a_select2(xinit_noise_defuse,n5) != use )
    | ( a_select2(xinit_noise_defuse,n4) != use )
    | ( a_select2(xinit_noise_defuse,n3) != use )
    | ( a_select2(xinit_noise_defuse,n2) != use )
    | ( a_select2(xinit_noise_defuse,n1) != use )
    | ( a_select2(xinit_noise_defuse,n0) != use )
    | ( a_select2(xinit_mean_defuse,n5) != use )
    | ( a_select2(xinit_mean_defuse,n4) != use )
    | ( a_select2(xinit_mean_defuse,n3) != use ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_534,c_833]) ).

tff(c_853,plain,
    ( leq(n0,'#skF_29')
    | ( a_select2(xinit_noise_defuse,n5) != use )
    | ( a_select2(xinit_noise_defuse,n4) != use )
    | ( a_select2(xinit_noise_defuse,n3) != use )
    | ( a_select2(xinit_noise_defuse,n2) != use )
    | ( a_select2(xinit_noise_defuse,n1) != use )
    | ( a_select2(xinit_noise_defuse,n0) != use )
    | ( a_select2(xinit_mean_defuse,n5) != use )
    | ( a_select2(xinit_mean_defuse,n4) != use ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_532,c_843]) ).

tff(c_863,plain,
    ( leq(n0,'#skF_29')
    | ( a_select2(xinit_noise_defuse,n5) != use )
    | ( a_select2(xinit_noise_defuse,n4) != use )
    | ( a_select2(xinit_noise_defuse,n3) != use )
    | ( a_select2(xinit_noise_defuse,n2) != use )
    | ( a_select2(xinit_noise_defuse,n1) != use )
    | ( a_select2(xinit_noise_defuse,n0) != use )
    | ( a_select2(xinit_mean_defuse,n5) != use ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_530,c_853]) ).

tff(c_873,plain,
    ( leq(n0,'#skF_29')
    | ( a_select2(xinit_noise_defuse,n5) != use )
    | ( a_select2(xinit_noise_defuse,n4) != use )
    | ( a_select2(xinit_noise_defuse,n3) != use )
    | ( a_select2(xinit_noise_defuse,n2) != use )
    | ( a_select2(xinit_noise_defuse,n1) != use )
    | ( a_select2(xinit_noise_defuse,n0) != use ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_528,c_863]) ).

tff(c_883,plain,
    ( leq(n0,'#skF_29')
    | ( a_select2(xinit_noise_defuse,n5) != use )
    | ( a_select2(xinit_noise_defuse,n4) != use )
    | ( a_select2(xinit_noise_defuse,n3) != use )
    | ( a_select2(xinit_noise_defuse,n2) != use )
    | ( a_select2(xinit_noise_defuse,n1) != use ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_526,c_873]) ).

tff(c_893,plain,
    ( leq(n0,'#skF_29')
    | ( a_select2(xinit_noise_defuse,n5) != use )
    | ( a_select2(xinit_noise_defuse,n4) != use )
    | ( a_select2(xinit_noise_defuse,n3) != use )
    | ( a_select2(xinit_noise_defuse,n2) != use ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_524,c_883]) ).

tff(c_903,plain,
    ( leq(n0,'#skF_29')
    | ( a_select2(xinit_noise_defuse,n5) != use )
    | ( a_select2(xinit_noise_defuse,n4) != use )
    | ( a_select2(xinit_noise_defuse,n3) != use ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_522,c_893]) ).

tff(c_913,plain,
    ( leq(n0,'#skF_29')
    | ( a_select2(xinit_noise_defuse,n5) != use )
    | ( a_select2(xinit_noise_defuse,n4) != use ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_520,c_903]) ).

tff(c_923,plain,
    ( leq(n0,'#skF_29')
    | ( a_select2(xinit_noise_defuse,n5) != use ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_518,c_913]) ).

tff(c_935,plain,
    leq(n0,'#skF_29'),
    inference(demodulation,[status(thm),theory(equality)],[c_516,c_923]) ).

tff(c_472,plain,
    ! [X_141] : ( pred(succ(X_141)) = X_141 ),
    inference(cnfTransformation,[status(thm)],[f_402]) ).

tff(c_452,plain,
    ! [X_131] : ( plus(n1,X_131) = succ(X_131) ),
    inference(cnfTransformation,[status(thm)],[f_382]) ).

tff(c_470,plain,
    ! [X_140] : ( minus(X_140,n1) = pred(X_140) ),
    inference(cnfTransformation,[status(thm)],[f_400]) ).

tff(c_572,plain,
    ( leq('#skF_29',minus(plus(n1,pv5),n1))
    | ( a_select2(xinit_noise_defuse,n5) != use )
    | ( a_select2(xinit_noise_defuse,n4) != use )
    | ( a_select2(xinit_noise_defuse,n3) != use )
    | ( a_select2(xinit_noise_defuse,n2) != use )
    | ( a_select2(xinit_noise_defuse,n1) != use )
    | ( a_select2(xinit_noise_defuse,n0) != use )
    | ( a_select2(xinit_mean_defuse,n5) != use )
    | ( a_select2(xinit_mean_defuse,n4) != use )
    | ( a_select2(xinit_mean_defuse,n3) != use )
    | ( a_select2(xinit_mean_defuse,n2) != use )
    | ( a_select2(xinit_mean_defuse,n1) != use )
    | ( a_select2(xinit_mean_defuse,n0) != use )
    | ( a_select2(xinit_defuse,n5) != use )
    | ( a_select2(xinit_defuse,n4) != use )
    | ( a_select2(xinit_defuse,n3) != use )
    | ( a_select3(u_defuse,n2,n0) != use )
    | ( a_select3(u_defuse,n1,n0) != use )
    | ( a_select3(u_defuse,n0,n0) != use )
    | ( a_select2(sigma_defuse,n5) != use )
    | ( a_select2(sigma_defuse,n4) != use )
    | ( a_select2(sigma_defuse,n3) != use )
    | ( a_select2(sigma_defuse,n2) != use )
    | ( a_select2(sigma_defuse,n1) != use )
    | ( a_select2(sigma_defuse,n0) != use )
    | ( a_select2(rho_defuse,n2) != use )
    | ( a_select2(rho_defuse,n1) != use )
    | ( a_select2(rho_defuse,n0) != use ) ),
    inference(cnfTransformation,[status(thm)],[f_631]) ).

tff(c_677,plain,
    ( leq('#skF_29',minus(plus(n1,pv5),n1))
    | ( a_select2(xinit_noise_defuse,n5) != use )
    | ( a_select2(xinit_noise_defuse,n4) != use )
    | ( a_select2(xinit_noise_defuse,n3) != use )
    | ( a_select2(xinit_noise_defuse,n2) != use )
    | ( a_select2(xinit_noise_defuse,n1) != use )
    | ( a_select2(xinit_noise_defuse,n0) != use )
    | ( a_select2(xinit_mean_defuse,n5) != use )
    | ( a_select2(xinit_mean_defuse,n4) != use )
    | ( a_select2(xinit_mean_defuse,n3) != use )
    | ( a_select2(xinit_mean_defuse,n2) != use )
    | ( a_select2(xinit_mean_defuse,n1) != use )
    | ( a_select2(xinit_mean_defuse,n0) != use )
    | ( a_select2(xinit_defuse,n5) != use )
    | ( a_select2(xinit_defuse,n4) != use )
    | ( a_select2(xinit_defuse,n3) != use )
    | ( a_select3(u_defuse,n2,n0) != use )
    | ( a_select3(u_defuse,n1,n0) != use )
    | ( a_select3(u_defuse,n0,n0) != use )
    | ( a_select2(sigma_defuse,n5) != use )
    | ( a_select2(sigma_defuse,n4) != use )
    | ( a_select2(sigma_defuse,n3) != use )
    | ( a_select2(sigma_defuse,n2) != use )
    | ( a_select2(sigma_defuse,n1) != use )
    | ( a_select2(sigma_defuse,n0) != use )
    | ( a_select2(rho_defuse,n2) != use )
    | ( a_select2(rho_defuse,n1) != use ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_568,c_572]) ).

tff(c_687,plain,
    ( leq('#skF_29',minus(plus(n1,pv5),n1))
    | ( a_select2(xinit_noise_defuse,n5) != use )
    | ( a_select2(xinit_noise_defuse,n4) != use )
    | ( a_select2(xinit_noise_defuse,n3) != use )
    | ( a_select2(xinit_noise_defuse,n2) != use )
    | ( a_select2(xinit_noise_defuse,n1) != use )
    | ( a_select2(xinit_noise_defuse,n0) != use )
    | ( a_select2(xinit_mean_defuse,n5) != use )
    | ( a_select2(xinit_mean_defuse,n4) != use )
    | ( a_select2(xinit_mean_defuse,n3) != use )
    | ( a_select2(xinit_mean_defuse,n2) != use )
    | ( a_select2(xinit_mean_defuse,n1) != use )
    | ( a_select2(xinit_mean_defuse,n0) != use )
    | ( a_select2(xinit_defuse,n5) != use )
    | ( a_select2(xinit_defuse,n4) != use )
    | ( a_select2(xinit_defuse,n3) != use )
    | ( a_select3(u_defuse,n2,n0) != use )
    | ( a_select3(u_defuse,n1,n0) != use )
    | ( a_select3(u_defuse,n0,n0) != use )
    | ( a_select2(sigma_defuse,n5) != use )
    | ( a_select2(sigma_defuse,n4) != use )
    | ( a_select2(sigma_defuse,n3) != use )
    | ( a_select2(sigma_defuse,n2) != use )
    | ( a_select2(sigma_defuse,n1) != use )
    | ( a_select2(sigma_defuse,n0) != use )
    | ( a_select2(rho_defuse,n2) != use ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_566,c_677]) ).

tff(c_697,plain,
    ( leq('#skF_29',minus(plus(n1,pv5),n1))
    | ( a_select2(xinit_noise_defuse,n5) != use )
    | ( a_select2(xinit_noise_defuse,n4) != use )
    | ( a_select2(xinit_noise_defuse,n3) != use )
    | ( a_select2(xinit_noise_defuse,n2) != use )
    | ( a_select2(xinit_noise_defuse,n1) != use )
    | ( a_select2(xinit_noise_defuse,n0) != use )
    | ( a_select2(xinit_mean_defuse,n5) != use )
    | ( a_select2(xinit_mean_defuse,n4) != use )
    | ( a_select2(xinit_mean_defuse,n3) != use )
    | ( a_select2(xinit_mean_defuse,n2) != use )
    | ( a_select2(xinit_mean_defuse,n1) != use )
    | ( a_select2(xinit_mean_defuse,n0) != use )
    | ( a_select2(xinit_defuse,n5) != use )
    | ( a_select2(xinit_defuse,n4) != use )
    | ( a_select2(xinit_defuse,n3) != use )
    | ( a_select3(u_defuse,n2,n0) != use )
    | ( a_select3(u_defuse,n1,n0) != use )
    | ( a_select3(u_defuse,n0,n0) != use )
    | ( a_select2(sigma_defuse,n5) != use )
    | ( a_select2(sigma_defuse,n4) != use )
    | ( a_select2(sigma_defuse,n3) != use )
    | ( a_select2(sigma_defuse,n2) != use )
    | ( a_select2(sigma_defuse,n1) != use )
    | ( a_select2(sigma_defuse,n0) != use ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_564,c_687]) ).

tff(c_707,plain,
    ( leq('#skF_29',minus(plus(n1,pv5),n1))
    | ( a_select2(xinit_noise_defuse,n5) != use )
    | ( a_select2(xinit_noise_defuse,n4) != use )
    | ( a_select2(xinit_noise_defuse,n3) != use )
    | ( a_select2(xinit_noise_defuse,n2) != use )
    | ( a_select2(xinit_noise_defuse,n1) != use )
    | ( a_select2(xinit_noise_defuse,n0) != use )
    | ( a_select2(xinit_mean_defuse,n5) != use )
    | ( a_select2(xinit_mean_defuse,n4) != use )
    | ( a_select2(xinit_mean_defuse,n3) != use )
    | ( a_select2(xinit_mean_defuse,n2) != use )
    | ( a_select2(xinit_mean_defuse,n1) != use )
    | ( a_select2(xinit_mean_defuse,n0) != use )
    | ( a_select2(xinit_defuse,n5) != use )
    | ( a_select2(xinit_defuse,n4) != use )
    | ( a_select2(xinit_defuse,n3) != use )
    | ( a_select3(u_defuse,n2,n0) != use )
    | ( a_select3(u_defuse,n1,n0) != use )
    | ( a_select3(u_defuse,n0,n0) != use )
    | ( a_select2(sigma_defuse,n5) != use )
    | ( a_select2(sigma_defuse,n4) != use )
    | ( a_select2(sigma_defuse,n3) != use )
    | ( a_select2(sigma_defuse,n2) != use )
    | ( a_select2(sigma_defuse,n1) != use ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_562,c_697]) ).

tff(c_717,plain,
    ( leq('#skF_29',minus(plus(n1,pv5),n1))
    | ( a_select2(xinit_noise_defuse,n5) != use )
    | ( a_select2(xinit_noise_defuse,n4) != use )
    | ( a_select2(xinit_noise_defuse,n3) != use )
    | ( a_select2(xinit_noise_defuse,n2) != use )
    | ( a_select2(xinit_noise_defuse,n1) != use )
    | ( a_select2(xinit_noise_defuse,n0) != use )
    | ( a_select2(xinit_mean_defuse,n5) != use )
    | ( a_select2(xinit_mean_defuse,n4) != use )
    | ( a_select2(xinit_mean_defuse,n3) != use )
    | ( a_select2(xinit_mean_defuse,n2) != use )
    | ( a_select2(xinit_mean_defuse,n1) != use )
    | ( a_select2(xinit_mean_defuse,n0) != use )
    | ( a_select2(xinit_defuse,n5) != use )
    | ( a_select2(xinit_defuse,n4) != use )
    | ( a_select2(xinit_defuse,n3) != use )
    | ( a_select3(u_defuse,n2,n0) != use )
    | ( a_select3(u_defuse,n1,n0) != use )
    | ( a_select3(u_defuse,n0,n0) != use )
    | ( a_select2(sigma_defuse,n5) != use )
    | ( a_select2(sigma_defuse,n4) != use )
    | ( a_select2(sigma_defuse,n3) != use )
    | ( a_select2(sigma_defuse,n2) != use ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_560,c_707]) ).

tff(c_727,plain,
    ( leq('#skF_29',minus(plus(n1,pv5),n1))
    | ( a_select2(xinit_noise_defuse,n5) != use )
    | ( a_select2(xinit_noise_defuse,n4) != use )
    | ( a_select2(xinit_noise_defuse,n3) != use )
    | ( a_select2(xinit_noise_defuse,n2) != use )
    | ( a_select2(xinit_noise_defuse,n1) != use )
    | ( a_select2(xinit_noise_defuse,n0) != use )
    | ( a_select2(xinit_mean_defuse,n5) != use )
    | ( a_select2(xinit_mean_defuse,n4) != use )
    | ( a_select2(xinit_mean_defuse,n3) != use )
    | ( a_select2(xinit_mean_defuse,n2) != use )
    | ( a_select2(xinit_mean_defuse,n1) != use )
    | ( a_select2(xinit_mean_defuse,n0) != use )
    | ( a_select2(xinit_defuse,n5) != use )
    | ( a_select2(xinit_defuse,n4) != use )
    | ( a_select2(xinit_defuse,n3) != use )
    | ( a_select3(u_defuse,n2,n0) != use )
    | ( a_select3(u_defuse,n1,n0) != use )
    | ( a_select3(u_defuse,n0,n0) != use )
    | ( a_select2(sigma_defuse,n5) != use )
    | ( a_select2(sigma_defuse,n4) != use )
    | ( a_select2(sigma_defuse,n3) != use ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_558,c_717]) ).

tff(c_737,plain,
    ( leq('#skF_29',minus(plus(n1,pv5),n1))
    | ( a_select2(xinit_noise_defuse,n5) != use )
    | ( a_select2(xinit_noise_defuse,n4) != use )
    | ( a_select2(xinit_noise_defuse,n3) != use )
    | ( a_select2(xinit_noise_defuse,n2) != use )
    | ( a_select2(xinit_noise_defuse,n1) != use )
    | ( a_select2(xinit_noise_defuse,n0) != use )
    | ( a_select2(xinit_mean_defuse,n5) != use )
    | ( a_select2(xinit_mean_defuse,n4) != use )
    | ( a_select2(xinit_mean_defuse,n3) != use )
    | ( a_select2(xinit_mean_defuse,n2) != use )
    | ( a_select2(xinit_mean_defuse,n1) != use )
    | ( a_select2(xinit_mean_defuse,n0) != use )
    | ( a_select2(xinit_defuse,n5) != use )
    | ( a_select2(xinit_defuse,n4) != use )
    | ( a_select2(xinit_defuse,n3) != use )
    | ( a_select3(u_defuse,n2,n0) != use )
    | ( a_select3(u_defuse,n1,n0) != use )
    | ( a_select3(u_defuse,n0,n0) != use )
    | ( a_select2(sigma_defuse,n5) != use )
    | ( a_select2(sigma_defuse,n4) != use ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_556,c_727]) ).

tff(c_747,plain,
    ( leq('#skF_29',minus(plus(n1,pv5),n1))
    | ( a_select2(xinit_noise_defuse,n5) != use )
    | ( a_select2(xinit_noise_defuse,n4) != use )
    | ( a_select2(xinit_noise_defuse,n3) != use )
    | ( a_select2(xinit_noise_defuse,n2) != use )
    | ( a_select2(xinit_noise_defuse,n1) != use )
    | ( a_select2(xinit_noise_defuse,n0) != use )
    | ( a_select2(xinit_mean_defuse,n5) != use )
    | ( a_select2(xinit_mean_defuse,n4) != use )
    | ( a_select2(xinit_mean_defuse,n3) != use )
    | ( a_select2(xinit_mean_defuse,n2) != use )
    | ( a_select2(xinit_mean_defuse,n1) != use )
    | ( a_select2(xinit_mean_defuse,n0) != use )
    | ( a_select2(xinit_defuse,n5) != use )
    | ( a_select2(xinit_defuse,n4) != use )
    | ( a_select2(xinit_defuse,n3) != use )
    | ( a_select3(u_defuse,n2,n0) != use )
    | ( a_select3(u_defuse,n1,n0) != use )
    | ( a_select3(u_defuse,n0,n0) != use )
    | ( a_select2(sigma_defuse,n5) != use ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_554,c_737]) ).

tff(c_757,plain,
    ( leq('#skF_29',minus(plus(n1,pv5),n1))
    | ( a_select2(xinit_noise_defuse,n5) != use )
    | ( a_select2(xinit_noise_defuse,n4) != use )
    | ( a_select2(xinit_noise_defuse,n3) != use )
    | ( a_select2(xinit_noise_defuse,n2) != use )
    | ( a_select2(xinit_noise_defuse,n1) != use )
    | ( a_select2(xinit_noise_defuse,n0) != use )
    | ( a_select2(xinit_mean_defuse,n5) != use )
    | ( a_select2(xinit_mean_defuse,n4) != use )
    | ( a_select2(xinit_mean_defuse,n3) != use )
    | ( a_select2(xinit_mean_defuse,n2) != use )
    | ( a_select2(xinit_mean_defuse,n1) != use )
    | ( a_select2(xinit_mean_defuse,n0) != use )
    | ( a_select2(xinit_defuse,n5) != use )
    | ( a_select2(xinit_defuse,n4) != use )
    | ( a_select2(xinit_defuse,n3) != use )
    | ( a_select3(u_defuse,n2,n0) != use )
    | ( a_select3(u_defuse,n1,n0) != use )
    | ( a_select3(u_defuse,n0,n0) != use ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_552,c_747]) ).

tff(c_767,plain,
    ( leq('#skF_29',minus(plus(n1,pv5),n1))
    | ( a_select2(xinit_noise_defuse,n5) != use )
    | ( a_select2(xinit_noise_defuse,n4) != use )
    | ( a_select2(xinit_noise_defuse,n3) != use )
    | ( a_select2(xinit_noise_defuse,n2) != use )
    | ( a_select2(xinit_noise_defuse,n1) != use )
    | ( a_select2(xinit_noise_defuse,n0) != use )
    | ( a_select2(xinit_mean_defuse,n5) != use )
    | ( a_select2(xinit_mean_defuse,n4) != use )
    | ( a_select2(xinit_mean_defuse,n3) != use )
    | ( a_select2(xinit_mean_defuse,n2) != use )
    | ( a_select2(xinit_mean_defuse,n1) != use )
    | ( a_select2(xinit_mean_defuse,n0) != use )
    | ( a_select2(xinit_defuse,n5) != use )
    | ( a_select2(xinit_defuse,n4) != use )
    | ( a_select2(xinit_defuse,n3) != use )
    | ( a_select3(u_defuse,n2,n0) != use )
    | ( a_select3(u_defuse,n1,n0) != use ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_550,c_757]) ).

tff(c_777,plain,
    ( leq('#skF_29',minus(plus(n1,pv5),n1))
    | ( a_select2(xinit_noise_defuse,n5) != use )
    | ( a_select2(xinit_noise_defuse,n4) != use )
    | ( a_select2(xinit_noise_defuse,n3) != use )
    | ( a_select2(xinit_noise_defuse,n2) != use )
    | ( a_select2(xinit_noise_defuse,n1) != use )
    | ( a_select2(xinit_noise_defuse,n0) != use )
    | ( a_select2(xinit_mean_defuse,n5) != use )
    | ( a_select2(xinit_mean_defuse,n4) != use )
    | ( a_select2(xinit_mean_defuse,n3) != use )
    | ( a_select2(xinit_mean_defuse,n2) != use )
    | ( a_select2(xinit_mean_defuse,n1) != use )
    | ( a_select2(xinit_mean_defuse,n0) != use )
    | ( a_select2(xinit_defuse,n5) != use )
    | ( a_select2(xinit_defuse,n4) != use )
    | ( a_select2(xinit_defuse,n3) != use )
    | ( a_select3(u_defuse,n2,n0) != use ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_548,c_767]) ).

tff(c_787,plain,
    ( leq('#skF_29',minus(plus(n1,pv5),n1))
    | ( a_select2(xinit_noise_defuse,n5) != use )
    | ( a_select2(xinit_noise_defuse,n4) != use )
    | ( a_select2(xinit_noise_defuse,n3) != use )
    | ( a_select2(xinit_noise_defuse,n2) != use )
    | ( a_select2(xinit_noise_defuse,n1) != use )
    | ( a_select2(xinit_noise_defuse,n0) != use )
    | ( a_select2(xinit_mean_defuse,n5) != use )
    | ( a_select2(xinit_mean_defuse,n4) != use )
    | ( a_select2(xinit_mean_defuse,n3) != use )
    | ( a_select2(xinit_mean_defuse,n2) != use )
    | ( a_select2(xinit_mean_defuse,n1) != use )
    | ( a_select2(xinit_mean_defuse,n0) != use )
    | ( a_select2(xinit_defuse,n5) != use )
    | ( a_select2(xinit_defuse,n4) != use )
    | ( a_select2(xinit_defuse,n3) != use ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_546,c_777]) ).

tff(c_797,plain,
    ( leq('#skF_29',minus(plus(n1,pv5),n1))
    | ( a_select2(xinit_noise_defuse,n5) != use )
    | ( a_select2(xinit_noise_defuse,n4) != use )
    | ( a_select2(xinit_noise_defuse,n3) != use )
    | ( a_select2(xinit_noise_defuse,n2) != use )
    | ( a_select2(xinit_noise_defuse,n1) != use )
    | ( a_select2(xinit_noise_defuse,n0) != use )
    | ( a_select2(xinit_mean_defuse,n5) != use )
    | ( a_select2(xinit_mean_defuse,n4) != use )
    | ( a_select2(xinit_mean_defuse,n3) != use )
    | ( a_select2(xinit_mean_defuse,n2) != use )
    | ( a_select2(xinit_mean_defuse,n1) != use )
    | ( a_select2(xinit_mean_defuse,n0) != use )
    | ( a_select2(xinit_defuse,n5) != use )
    | ( a_select2(xinit_defuse,n4) != use ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_544,c_787]) ).

tff(c_807,plain,
    ( leq('#skF_29',minus(plus(n1,pv5),n1))
    | ( a_select2(xinit_noise_defuse,n5) != use )
    | ( a_select2(xinit_noise_defuse,n4) != use )
    | ( a_select2(xinit_noise_defuse,n3) != use )
    | ( a_select2(xinit_noise_defuse,n2) != use )
    | ( a_select2(xinit_noise_defuse,n1) != use )
    | ( a_select2(xinit_noise_defuse,n0) != use )
    | ( a_select2(xinit_mean_defuse,n5) != use )
    | ( a_select2(xinit_mean_defuse,n4) != use )
    | ( a_select2(xinit_mean_defuse,n3) != use )
    | ( a_select2(xinit_mean_defuse,n2) != use )
    | ( a_select2(xinit_mean_defuse,n1) != use )
    | ( a_select2(xinit_mean_defuse,n0) != use )
    | ( a_select2(xinit_defuse,n5) != use ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_542,c_797]) ).

tff(c_817,plain,
    ( leq('#skF_29',minus(plus(n1,pv5),n1))
    | ( a_select2(xinit_noise_defuse,n5) != use )
    | ( a_select2(xinit_noise_defuse,n4) != use )
    | ( a_select2(xinit_noise_defuse,n3) != use )
    | ( a_select2(xinit_noise_defuse,n2) != use )
    | ( a_select2(xinit_noise_defuse,n1) != use )
    | ( a_select2(xinit_noise_defuse,n0) != use )
    | ( a_select2(xinit_mean_defuse,n5) != use )
    | ( a_select2(xinit_mean_defuse,n4) != use )
    | ( a_select2(xinit_mean_defuse,n3) != use )
    | ( a_select2(xinit_mean_defuse,n2) != use )
    | ( a_select2(xinit_mean_defuse,n1) != use )
    | ( a_select2(xinit_mean_defuse,n0) != use ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_540,c_807]) ).

tff(c_827,plain,
    ( leq('#skF_29',minus(plus(n1,pv5),n1))
    | ( a_select2(xinit_noise_defuse,n5) != use )
    | ( a_select2(xinit_noise_defuse,n4) != use )
    | ( a_select2(xinit_noise_defuse,n3) != use )
    | ( a_select2(xinit_noise_defuse,n2) != use )
    | ( a_select2(xinit_noise_defuse,n1) != use )
    | ( a_select2(xinit_noise_defuse,n0) != use )
    | ( a_select2(xinit_mean_defuse,n5) != use )
    | ( a_select2(xinit_mean_defuse,n4) != use )
    | ( a_select2(xinit_mean_defuse,n3) != use )
    | ( a_select2(xinit_mean_defuse,n2) != use )
    | ( a_select2(xinit_mean_defuse,n1) != use ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_538,c_817]) ).

tff(c_837,plain,
    ( leq('#skF_29',minus(plus(n1,pv5),n1))
    | ( a_select2(xinit_noise_defuse,n5) != use )
    | ( a_select2(xinit_noise_defuse,n4) != use )
    | ( a_select2(xinit_noise_defuse,n3) != use )
    | ( a_select2(xinit_noise_defuse,n2) != use )
    | ( a_select2(xinit_noise_defuse,n1) != use )
    | ( a_select2(xinit_noise_defuse,n0) != use )
    | ( a_select2(xinit_mean_defuse,n5) != use )
    | ( a_select2(xinit_mean_defuse,n4) != use )
    | ( a_select2(xinit_mean_defuse,n3) != use )
    | ( a_select2(xinit_mean_defuse,n2) != use ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_536,c_827]) ).

tff(c_847,plain,
    ( leq('#skF_29',minus(plus(n1,pv5),n1))
    | ( a_select2(xinit_noise_defuse,n5) != use )
    | ( a_select2(xinit_noise_defuse,n4) != use )
    | ( a_select2(xinit_noise_defuse,n3) != use )
    | ( a_select2(xinit_noise_defuse,n2) != use )
    | ( a_select2(xinit_noise_defuse,n1) != use )
    | ( a_select2(xinit_noise_defuse,n0) != use )
    | ( a_select2(xinit_mean_defuse,n5) != use )
    | ( a_select2(xinit_mean_defuse,n4) != use )
    | ( a_select2(xinit_mean_defuse,n3) != use ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_534,c_837]) ).

tff(c_857,plain,
    ( leq('#skF_29',minus(plus(n1,pv5),n1))
    | ( a_select2(xinit_noise_defuse,n5) != use )
    | ( a_select2(xinit_noise_defuse,n4) != use )
    | ( a_select2(xinit_noise_defuse,n3) != use )
    | ( a_select2(xinit_noise_defuse,n2) != use )
    | ( a_select2(xinit_noise_defuse,n1) != use )
    | ( a_select2(xinit_noise_defuse,n0) != use )
    | ( a_select2(xinit_mean_defuse,n5) != use )
    | ( a_select2(xinit_mean_defuse,n4) != use ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_532,c_847]) ).

tff(c_867,plain,
    ( leq('#skF_29',minus(plus(n1,pv5),n1))
    | ( a_select2(xinit_noise_defuse,n5) != use )
    | ( a_select2(xinit_noise_defuse,n4) != use )
    | ( a_select2(xinit_noise_defuse,n3) != use )
    | ( a_select2(xinit_noise_defuse,n2) != use )
    | ( a_select2(xinit_noise_defuse,n1) != use )
    | ( a_select2(xinit_noise_defuse,n0) != use )
    | ( a_select2(xinit_mean_defuse,n5) != use ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_530,c_857]) ).

tff(c_877,plain,
    ( leq('#skF_29',minus(plus(n1,pv5),n1))
    | ( a_select2(xinit_noise_defuse,n5) != use )
    | ( a_select2(xinit_noise_defuse,n4) != use )
    | ( a_select2(xinit_noise_defuse,n3) != use )
    | ( a_select2(xinit_noise_defuse,n2) != use )
    | ( a_select2(xinit_noise_defuse,n1) != use )
    | ( a_select2(xinit_noise_defuse,n0) != use ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_528,c_867]) ).

tff(c_887,plain,
    ( leq('#skF_29',minus(plus(n1,pv5),n1))
    | ( a_select2(xinit_noise_defuse,n5) != use )
    | ( a_select2(xinit_noise_defuse,n4) != use )
    | ( a_select2(xinit_noise_defuse,n3) != use )
    | ( a_select2(xinit_noise_defuse,n2) != use )
    | ( a_select2(xinit_noise_defuse,n1) != use ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_526,c_877]) ).

tff(c_897,plain,
    ( leq('#skF_29',minus(plus(n1,pv5),n1))
    | ( a_select2(xinit_noise_defuse,n5) != use )
    | ( a_select2(xinit_noise_defuse,n4) != use )
    | ( a_select2(xinit_noise_defuse,n3) != use )
    | ( a_select2(xinit_noise_defuse,n2) != use ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_524,c_887]) ).

tff(c_907,plain,
    ( leq('#skF_29',minus(plus(n1,pv5),n1))
    | ( a_select2(xinit_noise_defuse,n5) != use )
    | ( a_select2(xinit_noise_defuse,n4) != use )
    | ( a_select2(xinit_noise_defuse,n3) != use ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_522,c_897]) ).

tff(c_917,plain,
    ( leq('#skF_29',minus(plus(n1,pv5),n1))
    | ( a_select2(xinit_noise_defuse,n5) != use )
    | ( a_select2(xinit_noise_defuse,n4) != use ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_520,c_907]) ).

tff(c_927,plain,
    ( leq('#skF_29',minus(plus(n1,pv5),n1))
    | ( a_select2(xinit_noise_defuse,n5) != use ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_518,c_917]) ).

tff(c_937,plain,
    leq('#skF_29',minus(plus(n1,pv5),n1)),
    inference(demodulation,[status(thm),theory(equality)],[c_516,c_927]) ).

tff(c_940,plain,
    leq('#skF_29',pred(plus(n1,pv5))),
    inference(demodulation,[status(thm),theory(equality)],[c_470,c_937]) ).

tff(c_950,plain,
    leq('#skF_29',pred(succ(pv5))),
    inference(demodulation,[status(thm),theory(equality)],[c_452,c_940]) ).

tff(c_951,plain,
    leq('#skF_29',pv5),
    inference(demodulation,[status(thm),theory(equality)],[c_472,c_950]) ).

tff(c_1464,plain,
    ! [A_207,B_208] :
      ( ( a_select3(z_defuse,A_207,B_208) = use )
      | ~ leq(B_208,pv5)
      | ~ leq(A_207,n2)
      | ~ leq(n0,B_208)
      | ~ leq(n0,A_207) ),
    inference(cnfTransformation,[status(thm)],[f_631]) ).

tff(c_1472,plain,
    ! [A_207] :
      ( ( a_select3(z_defuse,A_207,'#skF_29') = use )
      | ~ leq(A_207,n2)
      | ~ leq(n0,'#skF_29')
      | ~ leq(n0,A_207) ),
    inference(resolution,[status(thm)],[c_951,c_1464]) ).

tff(c_2315,plain,
    ! [A_252] :
      ( ( a_select3(z_defuse,A_252,'#skF_29') = use )
      | ~ leq(A_252,n2)
      | ~ leq(n0,A_252) ),
    inference(demodulation,[status(thm),theory(equality)],[c_935,c_1472]) ).

tff(c_2328,plain,
    ( ( a_select3(z_defuse,'#skF_28','#skF_29') = use )
    | ~ leq(n0,'#skF_28') ),
    inference(resolution,[status(thm)],[c_931,c_2315]) ).

tff(c_2335,plain,
    a_select3(z_defuse,'#skF_28','#skF_29') = use,
    inference(demodulation,[status(thm),theory(equality)],[c_933,c_2328]) ).

tff(c_570,plain,
    ( ( a_select3(z_defuse,'#skF_28','#skF_29') != use )
    | ( a_select3(u_defuse,'#skF_28','#skF_29') != use )
    | ( a_select2(xinit_noise_defuse,n5) != use )
    | ( a_select2(xinit_noise_defuse,n4) != use )
    | ( a_select2(xinit_noise_defuse,n3) != use )
    | ( a_select2(xinit_noise_defuse,n2) != use )
    | ( a_select2(xinit_noise_defuse,n1) != use )
    | ( a_select2(xinit_noise_defuse,n0) != use )
    | ( a_select2(xinit_mean_defuse,n5) != use )
    | ( a_select2(xinit_mean_defuse,n4) != use )
    | ( a_select2(xinit_mean_defuse,n3) != use )
    | ( a_select2(xinit_mean_defuse,n2) != use )
    | ( a_select2(xinit_mean_defuse,n1) != use )
    | ( a_select2(xinit_mean_defuse,n0) != use )
    | ( a_select2(xinit_defuse,n5) != use )
    | ( a_select2(xinit_defuse,n4) != use )
    | ( a_select2(xinit_defuse,n3) != use )
    | ( a_select3(u_defuse,n2,n0) != use )
    | ( a_select3(u_defuse,n1,n0) != use )
    | ( a_select3(u_defuse,n0,n0) != use )
    | ( a_select2(sigma_defuse,n5) != use )
    | ( a_select2(sigma_defuse,n4) != use )
    | ( a_select2(sigma_defuse,n3) != use )
    | ( a_select2(sigma_defuse,n2) != use )
    | ( a_select2(sigma_defuse,n1) != use )
    | ( a_select2(sigma_defuse,n0) != use )
    | ( a_select2(rho_defuse,n2) != use )
    | ( a_select2(rho_defuse,n1) != use )
    | ( a_select2(rho_defuse,n0) != use ) ),
    inference(cnfTransformation,[status(thm)],[f_631]) ).

tff(c_679,plain,
    ( ( a_select3(z_defuse,'#skF_28','#skF_29') != use )
    | ( a_select3(u_defuse,'#skF_28','#skF_29') != use )
    | ( a_select2(xinit_noise_defuse,n5) != use )
    | ( a_select2(xinit_noise_defuse,n4) != use )
    | ( a_select2(xinit_noise_defuse,n3) != use )
    | ( a_select2(xinit_noise_defuse,n2) != use )
    | ( a_select2(xinit_noise_defuse,n1) != use )
    | ( a_select2(xinit_noise_defuse,n0) != use )
    | ( a_select2(xinit_mean_defuse,n5) != use )
    | ( a_select2(xinit_mean_defuse,n4) != use )
    | ( a_select2(xinit_mean_defuse,n3) != use )
    | ( a_select2(xinit_mean_defuse,n2) != use )
    | ( a_select2(xinit_mean_defuse,n1) != use )
    | ( a_select2(xinit_mean_defuse,n0) != use )
    | ( a_select2(xinit_defuse,n5) != use )
    | ( a_select2(xinit_defuse,n4) != use )
    | ( a_select2(xinit_defuse,n3) != use )
    | ( a_select3(u_defuse,n2,n0) != use )
    | ( a_select3(u_defuse,n1,n0) != use )
    | ( a_select3(u_defuse,n0,n0) != use )
    | ( a_select2(sigma_defuse,n5) != use )
    | ( a_select2(sigma_defuse,n4) != use )
    | ( a_select2(sigma_defuse,n3) != use )
    | ( a_select2(sigma_defuse,n2) != use )
    | ( a_select2(sigma_defuse,n1) != use )
    | ( a_select2(sigma_defuse,n0) != use )
    | ( a_select2(rho_defuse,n2) != use )
    | ( a_select2(rho_defuse,n1) != use ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_568,c_570]) ).

tff(c_689,plain,
    ( ( a_select3(z_defuse,'#skF_28','#skF_29') != use )
    | ( a_select3(u_defuse,'#skF_28','#skF_29') != use )
    | ( a_select2(xinit_noise_defuse,n5) != use )
    | ( a_select2(xinit_noise_defuse,n4) != use )
    | ( a_select2(xinit_noise_defuse,n3) != use )
    | ( a_select2(xinit_noise_defuse,n2) != use )
    | ( a_select2(xinit_noise_defuse,n1) != use )
    | ( a_select2(xinit_noise_defuse,n0) != use )
    | ( a_select2(xinit_mean_defuse,n5) != use )
    | ( a_select2(xinit_mean_defuse,n4) != use )
    | ( a_select2(xinit_mean_defuse,n3) != use )
    | ( a_select2(xinit_mean_defuse,n2) != use )
    | ( a_select2(xinit_mean_defuse,n1) != use )
    | ( a_select2(xinit_mean_defuse,n0) != use )
    | ( a_select2(xinit_defuse,n5) != use )
    | ( a_select2(xinit_defuse,n4) != use )
    | ( a_select2(xinit_defuse,n3) != use )
    | ( a_select3(u_defuse,n2,n0) != use )
    | ( a_select3(u_defuse,n1,n0) != use )
    | ( a_select3(u_defuse,n0,n0) != use )
    | ( a_select2(sigma_defuse,n5) != use )
    | ( a_select2(sigma_defuse,n4) != use )
    | ( a_select2(sigma_defuse,n3) != use )
    | ( a_select2(sigma_defuse,n2) != use )
    | ( a_select2(sigma_defuse,n1) != use )
    | ( a_select2(sigma_defuse,n0) != use )
    | ( a_select2(rho_defuse,n2) != use ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_566,c_679]) ).

tff(c_699,plain,
    ( ( a_select3(z_defuse,'#skF_28','#skF_29') != use )
    | ( a_select3(u_defuse,'#skF_28','#skF_29') != use )
    | ( a_select2(xinit_noise_defuse,n5) != use )
    | ( a_select2(xinit_noise_defuse,n4) != use )
    | ( a_select2(xinit_noise_defuse,n3) != use )
    | ( a_select2(xinit_noise_defuse,n2) != use )
    | ( a_select2(xinit_noise_defuse,n1) != use )
    | ( a_select2(xinit_noise_defuse,n0) != use )
    | ( a_select2(xinit_mean_defuse,n5) != use )
    | ( a_select2(xinit_mean_defuse,n4) != use )
    | ( a_select2(xinit_mean_defuse,n3) != use )
    | ( a_select2(xinit_mean_defuse,n2) != use )
    | ( a_select2(xinit_mean_defuse,n1) != use )
    | ( a_select2(xinit_mean_defuse,n0) != use )
    | ( a_select2(xinit_defuse,n5) != use )
    | ( a_select2(xinit_defuse,n4) != use )
    | ( a_select2(xinit_defuse,n3) != use )
    | ( a_select3(u_defuse,n2,n0) != use )
    | ( a_select3(u_defuse,n1,n0) != use )
    | ( a_select3(u_defuse,n0,n0) != use )
    | ( a_select2(sigma_defuse,n5) != use )
    | ( a_select2(sigma_defuse,n4) != use )
    | ( a_select2(sigma_defuse,n3) != use )
    | ( a_select2(sigma_defuse,n2) != use )
    | ( a_select2(sigma_defuse,n1) != use )
    | ( a_select2(sigma_defuse,n0) != use ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_564,c_689]) ).

tff(c_709,plain,
    ( ( a_select3(z_defuse,'#skF_28','#skF_29') != use )
    | ( a_select3(u_defuse,'#skF_28','#skF_29') != use )
    | ( a_select2(xinit_noise_defuse,n5) != use )
    | ( a_select2(xinit_noise_defuse,n4) != use )
    | ( a_select2(xinit_noise_defuse,n3) != use )
    | ( a_select2(xinit_noise_defuse,n2) != use )
    | ( a_select2(xinit_noise_defuse,n1) != use )
    | ( a_select2(xinit_noise_defuse,n0) != use )
    | ( a_select2(xinit_mean_defuse,n5) != use )
    | ( a_select2(xinit_mean_defuse,n4) != use )
    | ( a_select2(xinit_mean_defuse,n3) != use )
    | ( a_select2(xinit_mean_defuse,n2) != use )
    | ( a_select2(xinit_mean_defuse,n1) != use )
    | ( a_select2(xinit_mean_defuse,n0) != use )
    | ( a_select2(xinit_defuse,n5) != use )
    | ( a_select2(xinit_defuse,n4) != use )
    | ( a_select2(xinit_defuse,n3) != use )
    | ( a_select3(u_defuse,n2,n0) != use )
    | ( a_select3(u_defuse,n1,n0) != use )
    | ( a_select3(u_defuse,n0,n0) != use )
    | ( a_select2(sigma_defuse,n5) != use )
    | ( a_select2(sigma_defuse,n4) != use )
    | ( a_select2(sigma_defuse,n3) != use )
    | ( a_select2(sigma_defuse,n2) != use )
    | ( a_select2(sigma_defuse,n1) != use ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_562,c_699]) ).

tff(c_719,plain,
    ( ( a_select3(z_defuse,'#skF_28','#skF_29') != use )
    | ( a_select3(u_defuse,'#skF_28','#skF_29') != use )
    | ( a_select2(xinit_noise_defuse,n5) != use )
    | ( a_select2(xinit_noise_defuse,n4) != use )
    | ( a_select2(xinit_noise_defuse,n3) != use )
    | ( a_select2(xinit_noise_defuse,n2) != use )
    | ( a_select2(xinit_noise_defuse,n1) != use )
    | ( a_select2(xinit_noise_defuse,n0) != use )
    | ( a_select2(xinit_mean_defuse,n5) != use )
    | ( a_select2(xinit_mean_defuse,n4) != use )
    | ( a_select2(xinit_mean_defuse,n3) != use )
    | ( a_select2(xinit_mean_defuse,n2) != use )
    | ( a_select2(xinit_mean_defuse,n1) != use )
    | ( a_select2(xinit_mean_defuse,n0) != use )
    | ( a_select2(xinit_defuse,n5) != use )
    | ( a_select2(xinit_defuse,n4) != use )
    | ( a_select2(xinit_defuse,n3) != use )
    | ( a_select3(u_defuse,n2,n0) != use )
    | ( a_select3(u_defuse,n1,n0) != use )
    | ( a_select3(u_defuse,n0,n0) != use )
    | ( a_select2(sigma_defuse,n5) != use )
    | ( a_select2(sigma_defuse,n4) != use )
    | ( a_select2(sigma_defuse,n3) != use )
    | ( a_select2(sigma_defuse,n2) != use ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_560,c_709]) ).

tff(c_729,plain,
    ( ( a_select3(z_defuse,'#skF_28','#skF_29') != use )
    | ( a_select3(u_defuse,'#skF_28','#skF_29') != use )
    | ( a_select2(xinit_noise_defuse,n5) != use )
    | ( a_select2(xinit_noise_defuse,n4) != use )
    | ( a_select2(xinit_noise_defuse,n3) != use )
    | ( a_select2(xinit_noise_defuse,n2) != use )
    | ( a_select2(xinit_noise_defuse,n1) != use )
    | ( a_select2(xinit_noise_defuse,n0) != use )
    | ( a_select2(xinit_mean_defuse,n5) != use )
    | ( a_select2(xinit_mean_defuse,n4) != use )
    | ( a_select2(xinit_mean_defuse,n3) != use )
    | ( a_select2(xinit_mean_defuse,n2) != use )
    | ( a_select2(xinit_mean_defuse,n1) != use )
    | ( a_select2(xinit_mean_defuse,n0) != use )
    | ( a_select2(xinit_defuse,n5) != use )
    | ( a_select2(xinit_defuse,n4) != use )
    | ( a_select2(xinit_defuse,n3) != use )
    | ( a_select3(u_defuse,n2,n0) != use )
    | ( a_select3(u_defuse,n1,n0) != use )
    | ( a_select3(u_defuse,n0,n0) != use )
    | ( a_select2(sigma_defuse,n5) != use )
    | ( a_select2(sigma_defuse,n4) != use )
    | ( a_select2(sigma_defuse,n3) != use ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_558,c_719]) ).

tff(c_739,plain,
    ( ( a_select3(z_defuse,'#skF_28','#skF_29') != use )
    | ( a_select3(u_defuse,'#skF_28','#skF_29') != use )
    | ( a_select2(xinit_noise_defuse,n5) != use )
    | ( a_select2(xinit_noise_defuse,n4) != use )
    | ( a_select2(xinit_noise_defuse,n3) != use )
    | ( a_select2(xinit_noise_defuse,n2) != use )
    | ( a_select2(xinit_noise_defuse,n1) != use )
    | ( a_select2(xinit_noise_defuse,n0) != use )
    | ( a_select2(xinit_mean_defuse,n5) != use )
    | ( a_select2(xinit_mean_defuse,n4) != use )
    | ( a_select2(xinit_mean_defuse,n3) != use )
    | ( a_select2(xinit_mean_defuse,n2) != use )
    | ( a_select2(xinit_mean_defuse,n1) != use )
    | ( a_select2(xinit_mean_defuse,n0) != use )
    | ( a_select2(xinit_defuse,n5) != use )
    | ( a_select2(xinit_defuse,n4) != use )
    | ( a_select2(xinit_defuse,n3) != use )
    | ( a_select3(u_defuse,n2,n0) != use )
    | ( a_select3(u_defuse,n1,n0) != use )
    | ( a_select3(u_defuse,n0,n0) != use )
    | ( a_select2(sigma_defuse,n5) != use )
    | ( a_select2(sigma_defuse,n4) != use ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_556,c_729]) ).

tff(c_749,plain,
    ( ( a_select3(z_defuse,'#skF_28','#skF_29') != use )
    | ( a_select3(u_defuse,'#skF_28','#skF_29') != use )
    | ( a_select2(xinit_noise_defuse,n5) != use )
    | ( a_select2(xinit_noise_defuse,n4) != use )
    | ( a_select2(xinit_noise_defuse,n3) != use )
    | ( a_select2(xinit_noise_defuse,n2) != use )
    | ( a_select2(xinit_noise_defuse,n1) != use )
    | ( a_select2(xinit_noise_defuse,n0) != use )
    | ( a_select2(xinit_mean_defuse,n5) != use )
    | ( a_select2(xinit_mean_defuse,n4) != use )
    | ( a_select2(xinit_mean_defuse,n3) != use )
    | ( a_select2(xinit_mean_defuse,n2) != use )
    | ( a_select2(xinit_mean_defuse,n1) != use )
    | ( a_select2(xinit_mean_defuse,n0) != use )
    | ( a_select2(xinit_defuse,n5) != use )
    | ( a_select2(xinit_defuse,n4) != use )
    | ( a_select2(xinit_defuse,n3) != use )
    | ( a_select3(u_defuse,n2,n0) != use )
    | ( a_select3(u_defuse,n1,n0) != use )
    | ( a_select3(u_defuse,n0,n0) != use )
    | ( a_select2(sigma_defuse,n5) != use ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_554,c_739]) ).

tff(c_759,plain,
    ( ( a_select3(z_defuse,'#skF_28','#skF_29') != use )
    | ( a_select3(u_defuse,'#skF_28','#skF_29') != use )
    | ( a_select2(xinit_noise_defuse,n5) != use )
    | ( a_select2(xinit_noise_defuse,n4) != use )
    | ( a_select2(xinit_noise_defuse,n3) != use )
    | ( a_select2(xinit_noise_defuse,n2) != use )
    | ( a_select2(xinit_noise_defuse,n1) != use )
    | ( a_select2(xinit_noise_defuse,n0) != use )
    | ( a_select2(xinit_mean_defuse,n5) != use )
    | ( a_select2(xinit_mean_defuse,n4) != use )
    | ( a_select2(xinit_mean_defuse,n3) != use )
    | ( a_select2(xinit_mean_defuse,n2) != use )
    | ( a_select2(xinit_mean_defuse,n1) != use )
    | ( a_select2(xinit_mean_defuse,n0) != use )
    | ( a_select2(xinit_defuse,n5) != use )
    | ( a_select2(xinit_defuse,n4) != use )
    | ( a_select2(xinit_defuse,n3) != use )
    | ( a_select3(u_defuse,n2,n0) != use )
    | ( a_select3(u_defuse,n1,n0) != use )
    | ( a_select3(u_defuse,n0,n0) != use ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_552,c_749]) ).

tff(c_769,plain,
    ( ( a_select3(z_defuse,'#skF_28','#skF_29') != use )
    | ( a_select3(u_defuse,'#skF_28','#skF_29') != use )
    | ( a_select2(xinit_noise_defuse,n5) != use )
    | ( a_select2(xinit_noise_defuse,n4) != use )
    | ( a_select2(xinit_noise_defuse,n3) != use )
    | ( a_select2(xinit_noise_defuse,n2) != use )
    | ( a_select2(xinit_noise_defuse,n1) != use )
    | ( a_select2(xinit_noise_defuse,n0) != use )
    | ( a_select2(xinit_mean_defuse,n5) != use )
    | ( a_select2(xinit_mean_defuse,n4) != use )
    | ( a_select2(xinit_mean_defuse,n3) != use )
    | ( a_select2(xinit_mean_defuse,n2) != use )
    | ( a_select2(xinit_mean_defuse,n1) != use )
    | ( a_select2(xinit_mean_defuse,n0) != use )
    | ( a_select2(xinit_defuse,n5) != use )
    | ( a_select2(xinit_defuse,n4) != use )
    | ( a_select2(xinit_defuse,n3) != use )
    | ( a_select3(u_defuse,n2,n0) != use )
    | ( a_select3(u_defuse,n1,n0) != use ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_550,c_759]) ).

tff(c_779,plain,
    ( ( a_select3(z_defuse,'#skF_28','#skF_29') != use )
    | ( a_select3(u_defuse,'#skF_28','#skF_29') != use )
    | ( a_select2(xinit_noise_defuse,n5) != use )
    | ( a_select2(xinit_noise_defuse,n4) != use )
    | ( a_select2(xinit_noise_defuse,n3) != use )
    | ( a_select2(xinit_noise_defuse,n2) != use )
    | ( a_select2(xinit_noise_defuse,n1) != use )
    | ( a_select2(xinit_noise_defuse,n0) != use )
    | ( a_select2(xinit_mean_defuse,n5) != use )
    | ( a_select2(xinit_mean_defuse,n4) != use )
    | ( a_select2(xinit_mean_defuse,n3) != use )
    | ( a_select2(xinit_mean_defuse,n2) != use )
    | ( a_select2(xinit_mean_defuse,n1) != use )
    | ( a_select2(xinit_mean_defuse,n0) != use )
    | ( a_select2(xinit_defuse,n5) != use )
    | ( a_select2(xinit_defuse,n4) != use )
    | ( a_select2(xinit_defuse,n3) != use )
    | ( a_select3(u_defuse,n2,n0) != use ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_548,c_769]) ).

tff(c_789,plain,
    ( ( a_select3(z_defuse,'#skF_28','#skF_29') != use )
    | ( a_select3(u_defuse,'#skF_28','#skF_29') != use )
    | ( a_select2(xinit_noise_defuse,n5) != use )
    | ( a_select2(xinit_noise_defuse,n4) != use )
    | ( a_select2(xinit_noise_defuse,n3) != use )
    | ( a_select2(xinit_noise_defuse,n2) != use )
    | ( a_select2(xinit_noise_defuse,n1) != use )
    | ( a_select2(xinit_noise_defuse,n0) != use )
    | ( a_select2(xinit_mean_defuse,n5) != use )
    | ( a_select2(xinit_mean_defuse,n4) != use )
    | ( a_select2(xinit_mean_defuse,n3) != use )
    | ( a_select2(xinit_mean_defuse,n2) != use )
    | ( a_select2(xinit_mean_defuse,n1) != use )
    | ( a_select2(xinit_mean_defuse,n0) != use )
    | ( a_select2(xinit_defuse,n5) != use )
    | ( a_select2(xinit_defuse,n4) != use )
    | ( a_select2(xinit_defuse,n3) != use ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_546,c_779]) ).

tff(c_799,plain,
    ( ( a_select3(z_defuse,'#skF_28','#skF_29') != use )
    | ( a_select3(u_defuse,'#skF_28','#skF_29') != use )
    | ( a_select2(xinit_noise_defuse,n5) != use )
    | ( a_select2(xinit_noise_defuse,n4) != use )
    | ( a_select2(xinit_noise_defuse,n3) != use )
    | ( a_select2(xinit_noise_defuse,n2) != use )
    | ( a_select2(xinit_noise_defuse,n1) != use )
    | ( a_select2(xinit_noise_defuse,n0) != use )
    | ( a_select2(xinit_mean_defuse,n5) != use )
    | ( a_select2(xinit_mean_defuse,n4) != use )
    | ( a_select2(xinit_mean_defuse,n3) != use )
    | ( a_select2(xinit_mean_defuse,n2) != use )
    | ( a_select2(xinit_mean_defuse,n1) != use )
    | ( a_select2(xinit_mean_defuse,n0) != use )
    | ( a_select2(xinit_defuse,n5) != use )
    | ( a_select2(xinit_defuse,n4) != use ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_544,c_789]) ).

tff(c_809,plain,
    ( ( a_select3(z_defuse,'#skF_28','#skF_29') != use )
    | ( a_select3(u_defuse,'#skF_28','#skF_29') != use )
    | ( a_select2(xinit_noise_defuse,n5) != use )
    | ( a_select2(xinit_noise_defuse,n4) != use )
    | ( a_select2(xinit_noise_defuse,n3) != use )
    | ( a_select2(xinit_noise_defuse,n2) != use )
    | ( a_select2(xinit_noise_defuse,n1) != use )
    | ( a_select2(xinit_noise_defuse,n0) != use )
    | ( a_select2(xinit_mean_defuse,n5) != use )
    | ( a_select2(xinit_mean_defuse,n4) != use )
    | ( a_select2(xinit_mean_defuse,n3) != use )
    | ( a_select2(xinit_mean_defuse,n2) != use )
    | ( a_select2(xinit_mean_defuse,n1) != use )
    | ( a_select2(xinit_mean_defuse,n0) != use )
    | ( a_select2(xinit_defuse,n5) != use ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_542,c_799]) ).

tff(c_819,plain,
    ( ( a_select3(z_defuse,'#skF_28','#skF_29') != use )
    | ( a_select3(u_defuse,'#skF_28','#skF_29') != use )
    | ( a_select2(xinit_noise_defuse,n5) != use )
    | ( a_select2(xinit_noise_defuse,n4) != use )
    | ( a_select2(xinit_noise_defuse,n3) != use )
    | ( a_select2(xinit_noise_defuse,n2) != use )
    | ( a_select2(xinit_noise_defuse,n1) != use )
    | ( a_select2(xinit_noise_defuse,n0) != use )
    | ( a_select2(xinit_mean_defuse,n5) != use )
    | ( a_select2(xinit_mean_defuse,n4) != use )
    | ( a_select2(xinit_mean_defuse,n3) != use )
    | ( a_select2(xinit_mean_defuse,n2) != use )
    | ( a_select2(xinit_mean_defuse,n1) != use )
    | ( a_select2(xinit_mean_defuse,n0) != use ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_540,c_809]) ).

tff(c_829,plain,
    ( ( a_select3(z_defuse,'#skF_28','#skF_29') != use )
    | ( a_select3(u_defuse,'#skF_28','#skF_29') != use )
    | ( a_select2(xinit_noise_defuse,n5) != use )
    | ( a_select2(xinit_noise_defuse,n4) != use )
    | ( a_select2(xinit_noise_defuse,n3) != use )
    | ( a_select2(xinit_noise_defuse,n2) != use )
    | ( a_select2(xinit_noise_defuse,n1) != use )
    | ( a_select2(xinit_noise_defuse,n0) != use )
    | ( a_select2(xinit_mean_defuse,n5) != use )
    | ( a_select2(xinit_mean_defuse,n4) != use )
    | ( a_select2(xinit_mean_defuse,n3) != use )
    | ( a_select2(xinit_mean_defuse,n2) != use )
    | ( a_select2(xinit_mean_defuse,n1) != use ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_538,c_819]) ).

tff(c_839,plain,
    ( ( a_select3(z_defuse,'#skF_28','#skF_29') != use )
    | ( a_select3(u_defuse,'#skF_28','#skF_29') != use )
    | ( a_select2(xinit_noise_defuse,n5) != use )
    | ( a_select2(xinit_noise_defuse,n4) != use )
    | ( a_select2(xinit_noise_defuse,n3) != use )
    | ( a_select2(xinit_noise_defuse,n2) != use )
    | ( a_select2(xinit_noise_defuse,n1) != use )
    | ( a_select2(xinit_noise_defuse,n0) != use )
    | ( a_select2(xinit_mean_defuse,n5) != use )
    | ( a_select2(xinit_mean_defuse,n4) != use )
    | ( a_select2(xinit_mean_defuse,n3) != use )
    | ( a_select2(xinit_mean_defuse,n2) != use ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_536,c_829]) ).

tff(c_849,plain,
    ( ( a_select3(z_defuse,'#skF_28','#skF_29') != use )
    | ( a_select3(u_defuse,'#skF_28','#skF_29') != use )
    | ( a_select2(xinit_noise_defuse,n5) != use )
    | ( a_select2(xinit_noise_defuse,n4) != use )
    | ( a_select2(xinit_noise_defuse,n3) != use )
    | ( a_select2(xinit_noise_defuse,n2) != use )
    | ( a_select2(xinit_noise_defuse,n1) != use )
    | ( a_select2(xinit_noise_defuse,n0) != use )
    | ( a_select2(xinit_mean_defuse,n5) != use )
    | ( a_select2(xinit_mean_defuse,n4) != use )
    | ( a_select2(xinit_mean_defuse,n3) != use ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_534,c_839]) ).

tff(c_859,plain,
    ( ( a_select3(z_defuse,'#skF_28','#skF_29') != use )
    | ( a_select3(u_defuse,'#skF_28','#skF_29') != use )
    | ( a_select2(xinit_noise_defuse,n5) != use )
    | ( a_select2(xinit_noise_defuse,n4) != use )
    | ( a_select2(xinit_noise_defuse,n3) != use )
    | ( a_select2(xinit_noise_defuse,n2) != use )
    | ( a_select2(xinit_noise_defuse,n1) != use )
    | ( a_select2(xinit_noise_defuse,n0) != use )
    | ( a_select2(xinit_mean_defuse,n5) != use )
    | ( a_select2(xinit_mean_defuse,n4) != use ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_532,c_849]) ).

tff(c_869,plain,
    ( ( a_select3(z_defuse,'#skF_28','#skF_29') != use )
    | ( a_select3(u_defuse,'#skF_28','#skF_29') != use )
    | ( a_select2(xinit_noise_defuse,n5) != use )
    | ( a_select2(xinit_noise_defuse,n4) != use )
    | ( a_select2(xinit_noise_defuse,n3) != use )
    | ( a_select2(xinit_noise_defuse,n2) != use )
    | ( a_select2(xinit_noise_defuse,n1) != use )
    | ( a_select2(xinit_noise_defuse,n0) != use )
    | ( a_select2(xinit_mean_defuse,n5) != use ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_530,c_859]) ).

tff(c_879,plain,
    ( ( a_select3(z_defuse,'#skF_28','#skF_29') != use )
    | ( a_select3(u_defuse,'#skF_28','#skF_29') != use )
    | ( a_select2(xinit_noise_defuse,n5) != use )
    | ( a_select2(xinit_noise_defuse,n4) != use )
    | ( a_select2(xinit_noise_defuse,n3) != use )
    | ( a_select2(xinit_noise_defuse,n2) != use )
    | ( a_select2(xinit_noise_defuse,n1) != use )
    | ( a_select2(xinit_noise_defuse,n0) != use ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_528,c_869]) ).

tff(c_889,plain,
    ( ( a_select3(z_defuse,'#skF_28','#skF_29') != use )
    | ( a_select3(u_defuse,'#skF_28','#skF_29') != use )
    | ( a_select2(xinit_noise_defuse,n5) != use )
    | ( a_select2(xinit_noise_defuse,n4) != use )
    | ( a_select2(xinit_noise_defuse,n3) != use )
    | ( a_select2(xinit_noise_defuse,n2) != use )
    | ( a_select2(xinit_noise_defuse,n1) != use ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_526,c_879]) ).

tff(c_899,plain,
    ( ( a_select3(z_defuse,'#skF_28','#skF_29') != use )
    | ( a_select3(u_defuse,'#skF_28','#skF_29') != use )
    | ( a_select2(xinit_noise_defuse,n5) != use )
    | ( a_select2(xinit_noise_defuse,n4) != use )
    | ( a_select2(xinit_noise_defuse,n3) != use )
    | ( a_select2(xinit_noise_defuse,n2) != use ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_524,c_889]) ).

tff(c_909,plain,
    ( ( a_select3(z_defuse,'#skF_28','#skF_29') != use )
    | ( a_select3(u_defuse,'#skF_28','#skF_29') != use )
    | ( a_select2(xinit_noise_defuse,n5) != use )
    | ( a_select2(xinit_noise_defuse,n4) != use )
    | ( a_select2(xinit_noise_defuse,n3) != use ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_522,c_899]) ).

tff(c_919,plain,
    ( ( a_select3(z_defuse,'#skF_28','#skF_29') != use )
    | ( a_select3(u_defuse,'#skF_28','#skF_29') != use )
    | ( a_select2(xinit_noise_defuse,n5) != use )
    | ( a_select2(xinit_noise_defuse,n4) != use ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_520,c_909]) ).

tff(c_929,plain,
    ( ( a_select3(z_defuse,'#skF_28','#skF_29') != use )
    | ( a_select3(u_defuse,'#skF_28','#skF_29') != use )
    | ( a_select2(xinit_noise_defuse,n5) != use ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_518,c_919]) ).

tff(c_939,plain,
    ( ( a_select3(z_defuse,'#skF_28','#skF_29') != use )
    | ( a_select3(u_defuse,'#skF_28','#skF_29') != use ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_516,c_929]) ).

tff(c_9113,plain,
    a_select3(u_defuse,'#skF_28','#skF_29') != use,
    inference(demodulation,[status(thm),theory(equality)],[c_2335,c_939]) ).

tff(c_1347,plain,
    ! [A_202,B_203] :
      ( ( a_select3(u_defuse,A_202,B_203) = use )
      | ~ leq(B_203,pv5)
      | ~ leq(A_202,n2)
      | ~ leq(n0,B_203)
      | ~ leq(n0,A_202) ),
    inference(cnfTransformation,[status(thm)],[f_631]) ).

tff(c_1352,plain,
    ! [A_202] :
      ( ( a_select3(u_defuse,A_202,'#skF_29') = use )
      | ~ leq(A_202,n2)
      | ~ leq(n0,'#skF_29')
      | ~ leq(n0,A_202) ),
    inference(resolution,[status(thm)],[c_951,c_1347]) ).

tff(c_2686,plain,
    ! [A_258] :
      ( ( a_select3(u_defuse,A_258,'#skF_29') = use )
      | ~ leq(A_258,n2)
      | ~ leq(n0,A_258) ),
    inference(demodulation,[status(thm),theory(equality)],[c_935,c_1352]) ).

tff(c_2699,plain,
    ( ( a_select3(u_defuse,'#skF_28','#skF_29') = use )
    | ~ leq(n0,'#skF_28') ),
    inference(resolution,[status(thm)],[c_931,c_2686]) ).

tff(c_2706,plain,
    a_select3(u_defuse,'#skF_28','#skF_29') = use,
    inference(demodulation,[status(thm),theory(equality)],[c_933,c_2699]) ).

tff(c_10317,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_9113,c_2706]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem  : SWV098+1 : TPTP v9.0.0. Bugfixed v3.3.0.
% 0.04/0.13  % Command  : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.12/0.34  % Computer : n009.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 300
% 0.12/0.34  % DateTime : Wed Apr  9 02:43:26 EDT 2025
% 0.12/0.34  % CPUTime  : 
% 20.10/5.83  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 20.10/5.85  
% 20.10/5.85  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------