TSTP Solution File: SWV092+1 by Beagle---0.9.51

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : SWV092+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s

% Computer : n013.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Aug 22 11:02:52 EDT 2023

% Result   : Theorem 13.61s 4.18s
% Output   : CNFRefutation 13.61s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   33
%            Number of leaves      :   76
% Syntax   : Number of formulae    :  173 (  44 unt;  69 typ;   0 def)
%            Number of atoms       :  926 ( 846 equ)
%            Maximal formula atoms :   60 (   8 avg)
%            Number of connectives : 1588 ( 766   ~; 760   |;  58   &)
%                                         (   1 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   36 (   9 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :  160 (  49   >; 111   *;   0   +;   0  <<)
%            Number of predicates  :    7 (   5 usr;   2 prp; 0-2 aty)
%            Number of functors    :   64 (  64 usr;  19 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 > 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(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('#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_601,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 ) )
     => ( ( 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 )
        & ! [A,B] :
            ( ( leq(n0,A)
              & leq(n0,B)
              & leq(A,n2)
              & leq(B,minus(n0,n1)) )
           => ( ( a_select3(u_defuse,A,B) = use )
              & ( a_select3(z_defuse,A,B) = use ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quaternion_ds1_inuse_0004) ).

tff(f_378,axiom,
    succ(tptp_minus_1) = n0,
    file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',succ_tptp_minus_1) ).

tff(f_402,axiom,
    ! [X] : ( pred(succ(X)) = X ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',pred_succ) ).

tff(f_400,axiom,
    ! [X] : ( minus(X,n1) = pred(X) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',pred_minus_1) ).

tff(f_80,axiom,
    ! [X,Y,Z] :
      ( ( leq(X,Y)
        & leq(Y,Z) )
     => leq(X,Z) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',transitivity_leq) ).

tff(f_116,axiom,
    ! [X,Y] :
      ( leq(X,Y)
    <=> gt(succ(Y),X) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',leq_succ_gt_equiv) ).

tff(f_71,axiom,
    ! [X] : ~ gt(X,X),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',irreflexivity_gt) ).

tff(c_512,plain,
    a_select2(xinit_noise_defuse,n5) = use,
    inference(cnfTransformation,[status(thm)],[f_601]) ).

tff(c_514,plain,
    a_select2(xinit_noise_defuse,n4) = use,
    inference(cnfTransformation,[status(thm)],[f_601]) ).

tff(c_516,plain,
    a_select2(xinit_noise_defuse,n3) = use,
    inference(cnfTransformation,[status(thm)],[f_601]) ).

tff(c_518,plain,
    a_select2(xinit_noise_defuse,n2) = use,
    inference(cnfTransformation,[status(thm)],[f_601]) ).

tff(c_520,plain,
    a_select2(xinit_noise_defuse,n1) = use,
    inference(cnfTransformation,[status(thm)],[f_601]) ).

tff(c_522,plain,
    a_select2(xinit_noise_defuse,n0) = use,
    inference(cnfTransformation,[status(thm)],[f_601]) ).

tff(c_524,plain,
    a_select2(xinit_mean_defuse,n5) = use,
    inference(cnfTransformation,[status(thm)],[f_601]) ).

tff(c_526,plain,
    a_select2(xinit_mean_defuse,n4) = use,
    inference(cnfTransformation,[status(thm)],[f_601]) ).

tff(c_528,plain,
    a_select2(xinit_mean_defuse,n3) = use,
    inference(cnfTransformation,[status(thm)],[f_601]) ).

tff(c_530,plain,
    a_select2(xinit_mean_defuse,n2) = use,
    inference(cnfTransformation,[status(thm)],[f_601]) ).

tff(c_532,plain,
    a_select2(xinit_mean_defuse,n1) = use,
    inference(cnfTransformation,[status(thm)],[f_601]) ).

tff(c_534,plain,
    a_select2(xinit_mean_defuse,n0) = use,
    inference(cnfTransformation,[status(thm)],[f_601]) ).

tff(c_536,plain,
    a_select2(xinit_defuse,n5) = use,
    inference(cnfTransformation,[status(thm)],[f_601]) ).

tff(c_538,plain,
    a_select2(xinit_defuse,n4) = use,
    inference(cnfTransformation,[status(thm)],[f_601]) ).

tff(c_540,plain,
    a_select2(xinit_defuse,n3) = use,
    inference(cnfTransformation,[status(thm)],[f_601]) ).

tff(c_542,plain,
    a_select3(u_defuse,n2,n0) = use,
    inference(cnfTransformation,[status(thm)],[f_601]) ).

tff(c_544,plain,
    a_select3(u_defuse,n1,n0) = use,
    inference(cnfTransformation,[status(thm)],[f_601]) ).

tff(c_546,plain,
    a_select3(u_defuse,n0,n0) = use,
    inference(cnfTransformation,[status(thm)],[f_601]) ).

tff(c_548,plain,
    a_select2(sigma_defuse,n5) = use,
    inference(cnfTransformation,[status(thm)],[f_601]) ).

tff(c_550,plain,
    a_select2(sigma_defuse,n4) = use,
    inference(cnfTransformation,[status(thm)],[f_601]) ).

tff(c_552,plain,
    a_select2(sigma_defuse,n3) = use,
    inference(cnfTransformation,[status(thm)],[f_601]) ).

tff(c_554,plain,
    a_select2(sigma_defuse,n2) = use,
    inference(cnfTransformation,[status(thm)],[f_601]) ).

tff(c_556,plain,
    a_select2(sigma_defuse,n1) = use,
    inference(cnfTransformation,[status(thm)],[f_601]) ).

tff(c_558,plain,
    a_select2(sigma_defuse,n0) = use,
    inference(cnfTransformation,[status(thm)],[f_601]) ).

tff(c_560,plain,
    a_select2(rho_defuse,n2) = use,
    inference(cnfTransformation,[status(thm)],[f_601]) ).

tff(c_562,plain,
    a_select2(rho_defuse,n1) = use,
    inference(cnfTransformation,[status(thm)],[f_601]) ).

tff(c_564,plain,
    a_select2(rho_defuse,n0) = use,
    inference(cnfTransformation,[status(thm)],[f_601]) ).

tff(c_572,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_601]) ).

tff(c_647,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_564,c_572]) ).

tff(c_657,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_562,c_647]) ).

tff(c_667,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_560,c_657]) ).

tff(c_677,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_558,c_667]) ).

tff(c_687,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_556,c_677]) ).

tff(c_697,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_554,c_687]) ).

tff(c_707,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_552,c_697]) ).

tff(c_717,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_550,c_707]) ).

tff(c_727,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_548,c_717]) ).

tff(c_737,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_546,c_727]) ).

tff(c_747,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_544,c_737]) ).

tff(c_757,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_542,c_747]) ).

tff(c_767,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_540,c_757]) ).

tff(c_777,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_538,c_767]) ).

tff(c_787,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_536,c_777]) ).

tff(c_797,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_534,c_787]) ).

tff(c_807,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_532,c_797]) ).

tff(c_817,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_530,c_807]) ).

tff(c_827,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_528,c_817]) ).

tff(c_837,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_526,c_827]) ).

tff(c_847,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_524,c_837]) ).

tff(c_857,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_522,c_847]) ).

tff(c_867,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_520,c_857]) ).

tff(c_877,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_518,c_867]) ).

tff(c_887,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_516,c_877]) ).

tff(c_897,plain,
    ( leq(n0,'#skF_29')
    | ( a_select2(xinit_noise_defuse,n5) != use ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_514,c_887]) ).

tff(c_907,plain,
    leq(n0,'#skF_29'),
    inference(demodulation,[status(thm),theory(equality)],[c_512,c_897]) ).

tff(c_448,plain,
    succ(tptp_minus_1) = n0,
    inference(cnfTransformation,[status(thm)],[f_378]) ).

tff(c_1057,plain,
    ! [X_191] : ( pred(succ(X_191)) = X_191 ),
    inference(cnfTransformation,[status(thm)],[f_402]) ).

tff(c_1072,plain,
    pred(n0) = tptp_minus_1,
    inference(superposition,[status(thm),theory(equality)],[c_448,c_1057]) ).

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

tff(c_568,plain,
    ( leq('#skF_29',minus(n0,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_601]) ).

tff(c_651,plain,
    ( leq('#skF_29',minus(n0,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_564,c_568]) ).

tff(c_661,plain,
    ( leq('#skF_29',minus(n0,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_562,c_651]) ).

tff(c_671,plain,
    ( leq('#skF_29',minus(n0,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_560,c_661]) ).

tff(c_681,plain,
    ( leq('#skF_29',minus(n0,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_558,c_671]) ).

tff(c_691,plain,
    ( leq('#skF_29',minus(n0,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_556,c_681]) ).

tff(c_701,plain,
    ( leq('#skF_29',minus(n0,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_554,c_691]) ).

tff(c_711,plain,
    ( leq('#skF_29',minus(n0,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_552,c_701]) ).

tff(c_721,plain,
    ( leq('#skF_29',minus(n0,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_550,c_711]) ).

tff(c_731,plain,
    ( leq('#skF_29',minus(n0,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_548,c_721]) ).

tff(c_741,plain,
    ( leq('#skF_29',minus(n0,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_546,c_731]) ).

tff(c_751,plain,
    ( leq('#skF_29',minus(n0,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_544,c_741]) ).

tff(c_761,plain,
    ( leq('#skF_29',minus(n0,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_542,c_751]) ).

tff(c_771,plain,
    ( leq('#skF_29',minus(n0,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_540,c_761]) ).

tff(c_781,plain,
    ( leq('#skF_29',minus(n0,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_538,c_771]) ).

tff(c_791,plain,
    ( leq('#skF_29',minus(n0,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_536,c_781]) ).

tff(c_801,plain,
    ( leq('#skF_29',minus(n0,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_534,c_791]) ).

tff(c_811,plain,
    ( leq('#skF_29',minus(n0,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_532,c_801]) ).

tff(c_821,plain,
    ( leq('#skF_29',minus(n0,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_530,c_811]) ).

tff(c_831,plain,
    ( leq('#skF_29',minus(n0,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_528,c_821]) ).

tff(c_841,plain,
    ( leq('#skF_29',minus(n0,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_526,c_831]) ).

tff(c_851,plain,
    ( leq('#skF_29',minus(n0,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_524,c_841]) ).

tff(c_861,plain,
    ( leq('#skF_29',minus(n0,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_522,c_851]) ).

tff(c_871,plain,
    ( leq('#skF_29',minus(n0,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_520,c_861]) ).

tff(c_881,plain,
    ( leq('#skF_29',minus(n0,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_518,c_871]) ).

tff(c_891,plain,
    ( leq('#skF_29',minus(n0,n1))
    | ( a_select2(xinit_noise_defuse,n5) != use )
    | ( a_select2(xinit_noise_defuse,n4) != use ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_516,c_881]) ).

tff(c_901,plain,
    ( leq('#skF_29',minus(n0,n1))
    | ( a_select2(xinit_noise_defuse,n5) != use ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_514,c_891]) ).

tff(c_911,plain,
    leq('#skF_29',minus(n0,n1)),
    inference(demodulation,[status(thm),theory(equality)],[c_512,c_901]) ).

tff(c_914,plain,
    leq('#skF_29',pred(n0)),
    inference(demodulation,[status(thm),theory(equality)],[c_470,c_911]) ).

tff(c_1164,plain,
    leq('#skF_29',tptp_minus_1),
    inference(demodulation,[status(thm),theory(equality)],[c_1072,c_914]) ).

tff(c_5080,plain,
    ! [X_322,Z_323,Y_324] :
      ( leq(X_322,Z_323)
      | ~ leq(Y_324,Z_323)
      | ~ leq(X_322,Y_324) ),
    inference(cnfTransformation,[status(thm)],[f_80]) ).

tff(c_6395,plain,
    ! [X_373] :
      ( leq(X_373,tptp_minus_1)
      | ~ leq(X_373,'#skF_29') ),
    inference(resolution,[status(thm)],[c_1164,c_5080]) ).

tff(c_1951,plain,
    ! [Y_226,X_227] :
      ( gt(succ(Y_226),X_227)
      | ~ leq(X_227,Y_226) ),
    inference(cnfTransformation,[status(thm)],[f_116]) ).

tff(c_6,plain,
    ! [X_6] : ~ gt(X_6,X_6),
    inference(cnfTransformation,[status(thm)],[f_71]) ).

tff(c_2001,plain,
    ! [Y_228] : ~ leq(succ(Y_228),Y_228),
    inference(resolution,[status(thm)],[c_1951,c_6]) ).

tff(c_2034,plain,
    ~ leq(n0,tptp_minus_1),
    inference(superposition,[status(thm),theory(equality)],[c_448,c_2001]) ).

tff(c_6418,plain,
    ~ leq(n0,'#skF_29'),
    inference(resolution,[status(thm)],[c_6395,c_2034]) ).

tff(c_6441,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_907,c_6418]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : SWV092+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.00/0.14  % Command  : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.14/0.36  % Computer : n013.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 300
% 0.14/0.36  % DateTime : Thu Aug  3 22:29:18 EDT 2023
% 0.14/0.36  % CPUTime  : 
% 13.61/4.18  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 13.61/4.19  
% 13.61/4.19  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 13.61/4.23  
% 13.61/4.23  Inference rules
% 13.61/4.23  ----------------------
% 13.61/4.23  #Ref     : 0
% 13.61/4.23  #Sup     : 1440
% 13.61/4.23  #Fact    : 2
% 13.61/4.23  #Define  : 0
% 13.61/4.23  #Split   : 7
% 13.61/4.23  #Chain   : 0
% 13.61/4.23  #Close   : 0
% 13.61/4.23  
% 13.61/4.23  Ordering : KBO
% 13.61/4.23  
% 13.61/4.23  Simplification rules
% 13.61/4.23  ----------------------
% 13.61/4.23  #Subsume      : 165
% 13.61/4.23  #Demod        : 764
% 13.61/4.23  #Tautology    : 536
% 13.61/4.23  #SimpNegUnit  : 14
% 13.61/4.23  #BackRed      : 198
% 13.61/4.23  
% 13.61/4.23  #Partial instantiations: 0
% 13.61/4.23  #Strategies tried      : 1
% 13.61/4.23  
% 13.61/4.23  Timing (in seconds)
% 13.61/4.23  ----------------------
% 13.61/4.23  Preprocessing        : 0.95
% 13.61/4.23  Parsing              : 0.37
% 13.61/4.23  CNF conversion       : 0.07
% 13.61/4.23  Main loop            : 2.20
% 13.61/4.23  Inferencing          : 0.54
% 13.61/4.23  Reduction            : 0.91
% 13.61/4.23  Demodulation         : 0.67
% 13.61/4.23  BG Simplification    : 0.13
% 13.61/4.23  Subsumption          : 0.43
% 13.61/4.23  Abstraction          : 0.08
% 13.61/4.23  MUC search           : 0.00
% 13.61/4.23  Cooper               : 0.00
% 13.61/4.23  Total                : 3.21
% 13.61/4.23  Index Insertion      : 0.00
% 13.61/4.23  Index Deletion       : 0.00
% 13.61/4.23  Index Matching       : 0.00
% 13.61/4.23  BG Taut test         : 0.00
%------------------------------------------------------------------------------