TSTP Solution File: SWV030+1 by Beagle---0.9.51

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : SWV030+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/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 : n023.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 11:02:42 EDT 2023

% Result   : Theorem 22.38s 8.23s
% Output   : CNFRefutation 22.51s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   18
%            Number of leaves      :   74
% Syntax   : Number of formulae    :  264 (  38 unt;  72 typ;   0 def)
%            Number of atoms       :  932 ( 100 equ)
%            Maximal formula atoms :   34 (   4 avg)
%            Number of connectives : 1384 ( 644   ~; 707   |;  26   &)
%                                         (   0 <=>;   7  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   18 (   6 avg)
%            Maximal term depth    :    2 (   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    :   67 (  67 usr;  22 con; 0-8 aty)
%            Number of variables   :   18 (;  18   !;   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 > use > true > tptp_minus_1 > tptp_float_0_0 > simplex7_init > s_values7_init > pv7 > pv20 > pv19 > pv1376 > n5 > n410 > n4 > n330 > n3 > n2 > n1 > n0 > init > 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_30 > #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(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(pv7,type,
    pv7: $i ).

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

tff(pv19,type,
    pv19: $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('#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(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(s_values7_init,type,
    s_values7_init: $i ).

tff(pv1376,type,
    pv1376: $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_30',type,
    '#skF_30': $i ).

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

tff(pv20,type,
    pv20: $i ).

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

tff(init,type,
    init: $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(n410,type,
    n410: $i ).

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

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

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

tff(n330,type,
    n330: $i ).

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

tff(simplex7_init,type,
    simplex7_init: $i ).

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

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

tff(f_554,negated_conjecture,
    ~ ( ( ( init = init )
        & leq(n0,pv7)
        & leq(n0,pv19)
        & leq(n0,pv20)
        & leq(n0,pv1376)
        & leq(pv7,minus(n410,n1))
        & leq(pv19,minus(n410,n1))
        & leq(pv20,minus(n330,n1))
        & leq(pv1376,n3)
        & ! [A] :
            ( ( leq(n0,A)
              & leq(A,n2) )
           => ! [B] :
                ( ( leq(n0,B)
                  & leq(B,n3) )
               => ( a_select3(simplex7_init,B,A) = init ) ) )
        & ! [C] :
            ( ( leq(n0,C)
              & leq(C,minus(pv1376,n1)) )
           => ( a_select2(s_values7_init,C) = init ) ) )
     => ( ( init = init )
        & leq(n0,pv7)
        & leq(n0,pv19)
        & leq(n0,pv20)
        & leq(n0,pv1376)
        & leq(pv7,minus(n410,n1))
        & leq(pv19,minus(n410,n1))
        & leq(pv20,minus(n330,n1))
        & leq(pv1376,n3)
        & ! [D] :
            ( ( leq(n0,D)
              & leq(D,n2) )
           => ! [E] :
                ( ( leq(n0,E)
                  & leq(E,n3) )
               => ( a_select3(simplex7_init,E,D) = init ) ) )
        & ! [F] :
            ( ( leq(n0,F)
              & leq(F,minus(pv1376,n1)) )
           => ( a_select2(s_values7_init,F) = init ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',gauss_init_0033) ).

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,
    leq(pv1376,n3),
    inference(cnfTransformation,[status(thm)],[f_554]) ).

tff(c_518,plain,
    leq(pv20,minus(n330,n1)),
    inference(cnfTransformation,[status(thm)],[f_554]) ).

tff(c_520,plain,
    leq(pv19,minus(n410,n1)),
    inference(cnfTransformation,[status(thm)],[f_554]) ).

tff(c_522,plain,
    leq(pv7,minus(n410,n1)),
    inference(cnfTransformation,[status(thm)],[f_554]) ).

tff(c_524,plain,
    leq(n0,pv1376),
    inference(cnfTransformation,[status(thm)],[f_554]) ).

tff(c_526,plain,
    leq(n0,pv20),
    inference(cnfTransformation,[status(thm)],[f_554]) ).

tff(c_528,plain,
    leq(n0,pv19),
    inference(cnfTransformation,[status(thm)],[f_554]) ).

tff(c_530,plain,
    leq(n0,pv7),
    inference(cnfTransformation,[status(thm)],[f_554]) ).

tff(c_541,plain,
    ( leq('#skF_28',n2)
    | ( a_select2(s_values7_init,'#skF_30') != init )
    | ~ leq(pv1376,n3)
    | ~ leq(pv20,minus(n330,n1))
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(pv7,minus(n410,n1))
    | ~ leq(n0,pv1376)
    | ~ leq(n0,pv20)
    | ~ leq(n0,pv19)
    | ~ leq(n0,pv7) ),
    inference(cnfTransformation,[status(thm)],[f_554]) ).

tff(c_686,plain,
    ( leq('#skF_28',n2)
    | ( a_select2(s_values7_init,'#skF_30') != init )
    | ~ leq(pv1376,n3)
    | ~ leq(pv20,minus(n330,n1))
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(pv7,minus(n410,n1))
    | ~ leq(n0,pv1376)
    | ~ leq(n0,pv20)
    | ~ leq(n0,pv19) ),
    inference(demodulation,[status(thm),theory(equality)],[c_530,c_541]) ).

tff(c_716,plain,
    ( leq('#skF_28',n2)
    | ( a_select2(s_values7_init,'#skF_30') != init )
    | ~ leq(pv1376,n3)
    | ~ leq(pv20,minus(n330,n1))
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(pv7,minus(n410,n1))
    | ~ leq(n0,pv1376)
    | ~ leq(n0,pv20) ),
    inference(demodulation,[status(thm),theory(equality)],[c_528,c_686]) ).

tff(c_746,plain,
    ( leq('#skF_28',n2)
    | ( a_select2(s_values7_init,'#skF_30') != init )
    | ~ leq(pv1376,n3)
    | ~ leq(pv20,minus(n330,n1))
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(pv7,minus(n410,n1))
    | ~ leq(n0,pv1376) ),
    inference(demodulation,[status(thm),theory(equality)],[c_526,c_716]) ).

tff(c_776,plain,
    ( leq('#skF_28',n2)
    | ( a_select2(s_values7_init,'#skF_30') != init )
    | ~ leq(pv1376,n3)
    | ~ leq(pv20,minus(n330,n1))
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(pv7,minus(n410,n1)) ),
    inference(demodulation,[status(thm),theory(equality)],[c_524,c_746]) ).

tff(c_806,plain,
    ( leq('#skF_28',n2)
    | ( a_select2(s_values7_init,'#skF_30') != init )
    | ~ leq(pv1376,n3)
    | ~ leq(pv20,minus(n330,n1))
    | ~ leq(pv19,minus(n410,n1)) ),
    inference(demodulation,[status(thm),theory(equality)],[c_522,c_776]) ).

tff(c_836,plain,
    ( leq('#skF_28',n2)
    | ( a_select2(s_values7_init,'#skF_30') != init )
    | ~ leq(pv1376,n3)
    | ~ leq(pv20,minus(n330,n1)) ),
    inference(demodulation,[status(thm),theory(equality)],[c_520,c_806]) ).

tff(c_866,plain,
    ( leq('#skF_28',n2)
    | ( a_select2(s_values7_init,'#skF_30') != init )
    | ~ leq(pv1376,n3) ),
    inference(demodulation,[status(thm),theory(equality)],[c_518,c_836]) ).

tff(c_896,plain,
    ( leq('#skF_28',n2)
    | ( a_select2(s_values7_init,'#skF_30') != init ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_516,c_866]) ).

tff(c_1891,plain,
    a_select2(s_values7_init,'#skF_30') != init,
    inference(splitLeft,[status(thm)],[c_896]) ).

tff(c_561,plain,
    ( leq('#skF_28',n2)
    | leq(n0,'#skF_30')
    | ~ leq(pv1376,n3)
    | ~ leq(pv20,minus(n330,n1))
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(pv7,minus(n410,n1))
    | ~ leq(n0,pv1376)
    | ~ leq(n0,pv20)
    | ~ leq(n0,pv19)
    | ~ leq(n0,pv7) ),
    inference(cnfTransformation,[status(thm)],[f_554]) ).

tff(c_666,plain,
    ( leq('#skF_28',n2)
    | leq(n0,'#skF_30')
    | ~ leq(pv1376,n3)
    | ~ leq(pv20,minus(n330,n1))
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(pv7,minus(n410,n1))
    | ~ leq(n0,pv1376)
    | ~ leq(n0,pv20)
    | ~ leq(n0,pv19) ),
    inference(demodulation,[status(thm),theory(equality)],[c_530,c_561]) ).

tff(c_696,plain,
    ( leq('#skF_28',n2)
    | leq(n0,'#skF_30')
    | ~ leq(pv1376,n3)
    | ~ leq(pv20,minus(n330,n1))
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(pv7,minus(n410,n1))
    | ~ leq(n0,pv1376)
    | ~ leq(n0,pv20) ),
    inference(demodulation,[status(thm),theory(equality)],[c_528,c_666]) ).

tff(c_726,plain,
    ( leq('#skF_28',n2)
    | leq(n0,'#skF_30')
    | ~ leq(pv1376,n3)
    | ~ leq(pv20,minus(n330,n1))
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(pv7,minus(n410,n1))
    | ~ leq(n0,pv1376) ),
    inference(demodulation,[status(thm),theory(equality)],[c_526,c_696]) ).

tff(c_756,plain,
    ( leq('#skF_28',n2)
    | leq(n0,'#skF_30')
    | ~ leq(pv1376,n3)
    | ~ leq(pv20,minus(n330,n1))
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(pv7,minus(n410,n1)) ),
    inference(demodulation,[status(thm),theory(equality)],[c_524,c_726]) ).

tff(c_786,plain,
    ( leq('#skF_28',n2)
    | leq(n0,'#skF_30')
    | ~ leq(pv1376,n3)
    | ~ leq(pv20,minus(n330,n1))
    | ~ leq(pv19,minus(n410,n1)) ),
    inference(demodulation,[status(thm),theory(equality)],[c_522,c_756]) ).

tff(c_816,plain,
    ( leq('#skF_28',n2)
    | leq(n0,'#skF_30')
    | ~ leq(pv1376,n3)
    | ~ leq(pv20,minus(n330,n1)) ),
    inference(demodulation,[status(thm),theory(equality)],[c_520,c_786]) ).

tff(c_846,plain,
    ( leq('#skF_28',n2)
    | leq(n0,'#skF_30')
    | ~ leq(pv1376,n3) ),
    inference(demodulation,[status(thm),theory(equality)],[c_518,c_816]) ).

tff(c_874,plain,
    ( leq('#skF_28',n2)
    | leq(n0,'#skF_30') ),
    inference(demodulation,[status(thm),theory(equality)],[c_516,c_846]) ).

tff(c_1326,plain,
    leq(n0,'#skF_30'),
    inference(splitLeft,[status(thm)],[c_874]) ).

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

tff(c_551,plain,
    ( leq('#skF_28',n2)
    | leq('#skF_30',minus(pv1376,n1))
    | ~ leq(pv1376,n3)
    | ~ leq(pv20,minus(n330,n1))
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(pv7,minus(n410,n1))
    | ~ leq(n0,pv1376)
    | ~ leq(n0,pv20)
    | ~ leq(n0,pv19)
    | ~ leq(n0,pv7) ),
    inference(cnfTransformation,[status(thm)],[f_554]) ).

tff(c_676,plain,
    ( leq('#skF_28',n2)
    | leq('#skF_30',minus(pv1376,n1))
    | ~ leq(pv1376,n3)
    | ~ leq(pv20,minus(n330,n1))
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(pv7,minus(n410,n1))
    | ~ leq(n0,pv1376)
    | ~ leq(n0,pv20)
    | ~ leq(n0,pv19) ),
    inference(demodulation,[status(thm),theory(equality)],[c_530,c_551]) ).

tff(c_706,plain,
    ( leq('#skF_28',n2)
    | leq('#skF_30',minus(pv1376,n1))
    | ~ leq(pv1376,n3)
    | ~ leq(pv20,minus(n330,n1))
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(pv7,minus(n410,n1))
    | ~ leq(n0,pv1376)
    | ~ leq(n0,pv20) ),
    inference(demodulation,[status(thm),theory(equality)],[c_528,c_676]) ).

tff(c_736,plain,
    ( leq('#skF_28',n2)
    | leq('#skF_30',minus(pv1376,n1))
    | ~ leq(pv1376,n3)
    | ~ leq(pv20,minus(n330,n1))
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(pv7,minus(n410,n1))
    | ~ leq(n0,pv1376) ),
    inference(demodulation,[status(thm),theory(equality)],[c_526,c_706]) ).

tff(c_766,plain,
    ( leq('#skF_28',n2)
    | leq('#skF_30',minus(pv1376,n1))
    | ~ leq(pv1376,n3)
    | ~ leq(pv20,minus(n330,n1))
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(pv7,minus(n410,n1)) ),
    inference(demodulation,[status(thm),theory(equality)],[c_524,c_736]) ).

tff(c_796,plain,
    ( leq('#skF_28',n2)
    | leq('#skF_30',minus(pv1376,n1))
    | ~ leq(pv1376,n3)
    | ~ leq(pv20,minus(n330,n1))
    | ~ leq(pv19,minus(n410,n1)) ),
    inference(demodulation,[status(thm),theory(equality)],[c_522,c_766]) ).

tff(c_826,plain,
    ( leq('#skF_28',n2)
    | leq('#skF_30',minus(pv1376,n1))
    | ~ leq(pv1376,n3)
    | ~ leq(pv20,minus(n330,n1)) ),
    inference(demodulation,[status(thm),theory(equality)],[c_520,c_796]) ).

tff(c_856,plain,
    ( leq('#skF_28',n2)
    | leq('#skF_30',minus(pv1376,n1))
    | ~ leq(pv1376,n3) ),
    inference(demodulation,[status(thm),theory(equality)],[c_518,c_826]) ).

tff(c_886,plain,
    ( leq('#skF_28',n2)
    | leq('#skF_30',minus(pv1376,n1)) ),
    inference(demodulation,[status(thm),theory(equality)],[c_516,c_856]) ).

tff(c_903,plain,
    ( leq('#skF_28',n2)
    | leq('#skF_30',pred(pv1376)) ),
    inference(demodulation,[status(thm),theory(equality)],[c_470,c_886]) ).

tff(c_13589,plain,
    leq('#skF_30',pred(pv1376)),
    inference(splitLeft,[status(thm)],[c_903]) ).

tff(c_512,plain,
    ! [C_184] :
      ( ( a_select2(s_values7_init,C_184) = init )
      | ~ leq(C_184,minus(pv1376,n1))
      | ~ leq(n0,C_184) ),
    inference(cnfTransformation,[status(thm)],[f_554]) ).

tff(c_911,plain,
    ! [C_184] :
      ( ( a_select2(s_values7_init,C_184) = init )
      | ~ leq(C_184,pred(pv1376))
      | ~ leq(n0,C_184) ),
    inference(demodulation,[status(thm),theory(equality)],[c_470,c_512]) ).

tff(c_13604,plain,
    ( ( a_select2(s_values7_init,'#skF_30') = init )
    | ~ leq(n0,'#skF_30') ),
    inference(resolution,[status(thm)],[c_13589,c_911]) ).

tff(c_13608,plain,
    a_select2(s_values7_init,'#skF_30') = init,
    inference(demodulation,[status(thm),theory(equality)],[c_1326,c_13604]) ).

tff(c_13610,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_1891,c_13608]) ).

tff(c_13612,plain,
    ~ leq('#skF_30',pred(pv1376)),
    inference(splitRight,[status(thm)],[c_903]) ).

tff(c_553,plain,
    ( leq(n0,'#skF_28')
    | leq('#skF_30',minus(pv1376,n1))
    | ~ leq(pv1376,n3)
    | ~ leq(pv20,minus(n330,n1))
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(pv7,minus(n410,n1))
    | ~ leq(n0,pv1376)
    | ~ leq(n0,pv20)
    | ~ leq(n0,pv19)
    | ~ leq(n0,pv7) ),
    inference(cnfTransformation,[status(thm)],[f_554]) ).

tff(c_674,plain,
    ( leq(n0,'#skF_28')
    | leq('#skF_30',minus(pv1376,n1))
    | ~ leq(pv1376,n3)
    | ~ leq(pv20,minus(n330,n1))
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(pv7,minus(n410,n1))
    | ~ leq(n0,pv1376)
    | ~ leq(n0,pv20)
    | ~ leq(n0,pv19) ),
    inference(demodulation,[status(thm),theory(equality)],[c_530,c_553]) ).

tff(c_704,plain,
    ( leq(n0,'#skF_28')
    | leq('#skF_30',minus(pv1376,n1))
    | ~ leq(pv1376,n3)
    | ~ leq(pv20,minus(n330,n1))
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(pv7,minus(n410,n1))
    | ~ leq(n0,pv1376)
    | ~ leq(n0,pv20) ),
    inference(demodulation,[status(thm),theory(equality)],[c_528,c_674]) ).

tff(c_734,plain,
    ( leq(n0,'#skF_28')
    | leq('#skF_30',minus(pv1376,n1))
    | ~ leq(pv1376,n3)
    | ~ leq(pv20,minus(n330,n1))
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(pv7,minus(n410,n1))
    | ~ leq(n0,pv1376) ),
    inference(demodulation,[status(thm),theory(equality)],[c_526,c_704]) ).

tff(c_764,plain,
    ( leq(n0,'#skF_28')
    | leq('#skF_30',minus(pv1376,n1))
    | ~ leq(pv1376,n3)
    | ~ leq(pv20,minus(n330,n1))
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(pv7,minus(n410,n1)) ),
    inference(demodulation,[status(thm),theory(equality)],[c_524,c_734]) ).

tff(c_794,plain,
    ( leq(n0,'#skF_28')
    | leq('#skF_30',minus(pv1376,n1))
    | ~ leq(pv1376,n3)
    | ~ leq(pv20,minus(n330,n1))
    | ~ leq(pv19,minus(n410,n1)) ),
    inference(demodulation,[status(thm),theory(equality)],[c_522,c_764]) ).

tff(c_824,plain,
    ( leq(n0,'#skF_28')
    | leq('#skF_30',minus(pv1376,n1))
    | ~ leq(pv1376,n3)
    | ~ leq(pv20,minus(n330,n1)) ),
    inference(demodulation,[status(thm),theory(equality)],[c_520,c_794]) ).

tff(c_854,plain,
    ( leq(n0,'#skF_28')
    | leq('#skF_30',minus(pv1376,n1))
    | ~ leq(pv1376,n3) ),
    inference(demodulation,[status(thm),theory(equality)],[c_518,c_824]) ).

tff(c_884,plain,
    ( leq(n0,'#skF_28')
    | leq('#skF_30',minus(pv1376,n1)) ),
    inference(demodulation,[status(thm),theory(equality)],[c_516,c_854]) ).

tff(c_907,plain,
    ( leq(n0,'#skF_28')
    | leq('#skF_30',pred(pv1376)) ),
    inference(demodulation,[status(thm),theory(equality)],[c_470,c_884]) ).

tff(c_14226,plain,
    leq(n0,'#skF_28'),
    inference(negUnitSimplification,[status(thm)],[c_13612,c_907]) ).

tff(c_13611,plain,
    leq('#skF_28',n2),
    inference(splitRight,[status(thm)],[c_903]) ).

tff(c_549,plain,
    ( leq(n0,'#skF_29')
    | leq('#skF_30',minus(pv1376,n1))
    | ~ leq(pv1376,n3)
    | ~ leq(pv20,minus(n330,n1))
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(pv7,minus(n410,n1))
    | ~ leq(n0,pv1376)
    | ~ leq(n0,pv20)
    | ~ leq(n0,pv19)
    | ~ leq(n0,pv7) ),
    inference(cnfTransformation,[status(thm)],[f_554]) ).

tff(c_678,plain,
    ( leq(n0,'#skF_29')
    | leq('#skF_30',minus(pv1376,n1))
    | ~ leq(pv1376,n3)
    | ~ leq(pv20,minus(n330,n1))
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(pv7,minus(n410,n1))
    | ~ leq(n0,pv1376)
    | ~ leq(n0,pv20)
    | ~ leq(n0,pv19) ),
    inference(demodulation,[status(thm),theory(equality)],[c_530,c_549]) ).

tff(c_708,plain,
    ( leq(n0,'#skF_29')
    | leq('#skF_30',minus(pv1376,n1))
    | ~ leq(pv1376,n3)
    | ~ leq(pv20,minus(n330,n1))
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(pv7,minus(n410,n1))
    | ~ leq(n0,pv1376)
    | ~ leq(n0,pv20) ),
    inference(demodulation,[status(thm),theory(equality)],[c_528,c_678]) ).

tff(c_738,plain,
    ( leq(n0,'#skF_29')
    | leq('#skF_30',minus(pv1376,n1))
    | ~ leq(pv1376,n3)
    | ~ leq(pv20,minus(n330,n1))
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(pv7,minus(n410,n1))
    | ~ leq(n0,pv1376) ),
    inference(demodulation,[status(thm),theory(equality)],[c_526,c_708]) ).

tff(c_768,plain,
    ( leq(n0,'#skF_29')
    | leq('#skF_30',minus(pv1376,n1))
    | ~ leq(pv1376,n3)
    | ~ leq(pv20,minus(n330,n1))
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(pv7,minus(n410,n1)) ),
    inference(demodulation,[status(thm),theory(equality)],[c_524,c_738]) ).

tff(c_798,plain,
    ( leq(n0,'#skF_29')
    | leq('#skF_30',minus(pv1376,n1))
    | ~ leq(pv1376,n3)
    | ~ leq(pv20,minus(n330,n1))
    | ~ leq(pv19,minus(n410,n1)) ),
    inference(demodulation,[status(thm),theory(equality)],[c_522,c_768]) ).

tff(c_828,plain,
    ( leq(n0,'#skF_29')
    | leq('#skF_30',minus(pv1376,n1))
    | ~ leq(pv1376,n3)
    | ~ leq(pv20,minus(n330,n1)) ),
    inference(demodulation,[status(thm),theory(equality)],[c_520,c_798]) ).

tff(c_858,plain,
    ( leq(n0,'#skF_29')
    | leq('#skF_30',minus(pv1376,n1))
    | ~ leq(pv1376,n3) ),
    inference(demodulation,[status(thm),theory(equality)],[c_518,c_828]) ).

tff(c_888,plain,
    ( leq(n0,'#skF_29')
    | leq('#skF_30',minus(pv1376,n1)) ),
    inference(demodulation,[status(thm),theory(equality)],[c_516,c_858]) ).

tff(c_908,plain,
    ( leq(n0,'#skF_29')
    | leq('#skF_30',pred(pv1376)) ),
    inference(demodulation,[status(thm),theory(equality)],[c_470,c_888]) ).

tff(c_14147,plain,
    leq(n0,'#skF_29'),
    inference(negUnitSimplification,[status(thm)],[c_13612,c_908]) ).

tff(c_547,plain,
    ( leq('#skF_29',n3)
    | leq('#skF_30',minus(pv1376,n1))
    | ~ leq(pv1376,n3)
    | ~ leq(pv20,minus(n330,n1))
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(pv7,minus(n410,n1))
    | ~ leq(n0,pv1376)
    | ~ leq(n0,pv20)
    | ~ leq(n0,pv19)
    | ~ leq(n0,pv7) ),
    inference(cnfTransformation,[status(thm)],[f_554]) ).

tff(c_680,plain,
    ( leq('#skF_29',n3)
    | leq('#skF_30',minus(pv1376,n1))
    | ~ leq(pv1376,n3)
    | ~ leq(pv20,minus(n330,n1))
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(pv7,minus(n410,n1))
    | ~ leq(n0,pv1376)
    | ~ leq(n0,pv20)
    | ~ leq(n0,pv19) ),
    inference(demodulation,[status(thm),theory(equality)],[c_530,c_547]) ).

tff(c_710,plain,
    ( leq('#skF_29',n3)
    | leq('#skF_30',minus(pv1376,n1))
    | ~ leq(pv1376,n3)
    | ~ leq(pv20,minus(n330,n1))
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(pv7,minus(n410,n1))
    | ~ leq(n0,pv1376)
    | ~ leq(n0,pv20) ),
    inference(demodulation,[status(thm),theory(equality)],[c_528,c_680]) ).

tff(c_740,plain,
    ( leq('#skF_29',n3)
    | leq('#skF_30',minus(pv1376,n1))
    | ~ leq(pv1376,n3)
    | ~ leq(pv20,minus(n330,n1))
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(pv7,minus(n410,n1))
    | ~ leq(n0,pv1376) ),
    inference(demodulation,[status(thm),theory(equality)],[c_526,c_710]) ).

tff(c_770,plain,
    ( leq('#skF_29',n3)
    | leq('#skF_30',minus(pv1376,n1))
    | ~ leq(pv1376,n3)
    | ~ leq(pv20,minus(n330,n1))
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(pv7,minus(n410,n1)) ),
    inference(demodulation,[status(thm),theory(equality)],[c_524,c_740]) ).

tff(c_800,plain,
    ( leq('#skF_29',n3)
    | leq('#skF_30',minus(pv1376,n1))
    | ~ leq(pv1376,n3)
    | ~ leq(pv20,minus(n330,n1))
    | ~ leq(pv19,minus(n410,n1)) ),
    inference(demodulation,[status(thm),theory(equality)],[c_522,c_770]) ).

tff(c_830,plain,
    ( leq('#skF_29',n3)
    | leq('#skF_30',minus(pv1376,n1))
    | ~ leq(pv1376,n3)
    | ~ leq(pv20,minus(n330,n1)) ),
    inference(demodulation,[status(thm),theory(equality)],[c_520,c_800]) ).

tff(c_860,plain,
    ( leq('#skF_29',n3)
    | leq('#skF_30',minus(pv1376,n1))
    | ~ leq(pv1376,n3) ),
    inference(demodulation,[status(thm),theory(equality)],[c_518,c_830]) ).

tff(c_890,plain,
    ( leq('#skF_29',n3)
    | leq('#skF_30',minus(pv1376,n1)) ),
    inference(demodulation,[status(thm),theory(equality)],[c_516,c_860]) ).

tff(c_909,plain,
    ( leq('#skF_29',n3)
    | leq('#skF_30',pred(pv1376)) ),
    inference(demodulation,[status(thm),theory(equality)],[c_470,c_890]) ).

tff(c_14448,plain,
    leq('#skF_29',n3),
    inference(negUnitSimplification,[status(thm)],[c_13612,c_909]) ).

tff(c_514,plain,
    ! [B_183,A_181] :
      ( ( a_select3(simplex7_init,B_183,A_181) = init )
      | ~ leq(B_183,n3)
      | ~ leq(n0,B_183)
      | ~ leq(A_181,n2)
      | ~ leq(n0,A_181) ),
    inference(cnfTransformation,[status(thm)],[f_554]) ).

tff(c_14453,plain,
    ! [A_181] :
      ( ( a_select3(simplex7_init,'#skF_29',A_181) = init )
      | ~ leq(n0,'#skF_29')
      | ~ leq(A_181,n2)
      | ~ leq(n0,A_181) ),
    inference(resolution,[status(thm)],[c_14448,c_514]) ).

tff(c_14476,plain,
    ! [A_452] :
      ( ( a_select3(simplex7_init,'#skF_29',A_452) = init )
      | ~ leq(A_452,n2)
      | ~ leq(n0,A_452) ),
    inference(demodulation,[status(thm),theory(equality)],[c_14147,c_14453]) ).

tff(c_14478,plain,
    ( ( a_select3(simplex7_init,'#skF_29','#skF_28') = init )
    | ~ leq(n0,'#skF_28') ),
    inference(resolution,[status(thm)],[c_13611,c_14476]) ).

tff(c_14496,plain,
    a_select3(simplex7_init,'#skF_29','#skF_28') = init,
    inference(demodulation,[status(thm),theory(equality)],[c_14226,c_14478]) ).

tff(c_545,plain,
    ( ( a_select3(simplex7_init,'#skF_29','#skF_28') != init )
    | leq('#skF_30',minus(pv1376,n1))
    | ~ leq(pv1376,n3)
    | ~ leq(pv20,minus(n330,n1))
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(pv7,minus(n410,n1))
    | ~ leq(n0,pv1376)
    | ~ leq(n0,pv20)
    | ~ leq(n0,pv19)
    | ~ leq(n0,pv7) ),
    inference(cnfTransformation,[status(thm)],[f_554]) ).

tff(c_682,plain,
    ( ( a_select3(simplex7_init,'#skF_29','#skF_28') != init )
    | leq('#skF_30',minus(pv1376,n1))
    | ~ leq(pv1376,n3)
    | ~ leq(pv20,minus(n330,n1))
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(pv7,minus(n410,n1))
    | ~ leq(n0,pv1376)
    | ~ leq(n0,pv20)
    | ~ leq(n0,pv19) ),
    inference(demodulation,[status(thm),theory(equality)],[c_530,c_545]) ).

tff(c_712,plain,
    ( ( a_select3(simplex7_init,'#skF_29','#skF_28') != init )
    | leq('#skF_30',minus(pv1376,n1))
    | ~ leq(pv1376,n3)
    | ~ leq(pv20,minus(n330,n1))
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(pv7,minus(n410,n1))
    | ~ leq(n0,pv1376)
    | ~ leq(n0,pv20) ),
    inference(demodulation,[status(thm),theory(equality)],[c_528,c_682]) ).

tff(c_742,plain,
    ( ( a_select3(simplex7_init,'#skF_29','#skF_28') != init )
    | leq('#skF_30',minus(pv1376,n1))
    | ~ leq(pv1376,n3)
    | ~ leq(pv20,minus(n330,n1))
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(pv7,minus(n410,n1))
    | ~ leq(n0,pv1376) ),
    inference(demodulation,[status(thm),theory(equality)],[c_526,c_712]) ).

tff(c_772,plain,
    ( ( a_select3(simplex7_init,'#skF_29','#skF_28') != init )
    | leq('#skF_30',minus(pv1376,n1))
    | ~ leq(pv1376,n3)
    | ~ leq(pv20,minus(n330,n1))
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(pv7,minus(n410,n1)) ),
    inference(demodulation,[status(thm),theory(equality)],[c_524,c_742]) ).

tff(c_802,plain,
    ( ( a_select3(simplex7_init,'#skF_29','#skF_28') != init )
    | leq('#skF_30',minus(pv1376,n1))
    | ~ leq(pv1376,n3)
    | ~ leq(pv20,minus(n330,n1))
    | ~ leq(pv19,minus(n410,n1)) ),
    inference(demodulation,[status(thm),theory(equality)],[c_522,c_772]) ).

tff(c_832,plain,
    ( ( a_select3(simplex7_init,'#skF_29','#skF_28') != init )
    | leq('#skF_30',minus(pv1376,n1))
    | ~ leq(pv1376,n3)
    | ~ leq(pv20,minus(n330,n1)) ),
    inference(demodulation,[status(thm),theory(equality)],[c_520,c_802]) ).

tff(c_862,plain,
    ( ( a_select3(simplex7_init,'#skF_29','#skF_28') != init )
    | leq('#skF_30',minus(pv1376,n1))
    | ~ leq(pv1376,n3) ),
    inference(demodulation,[status(thm),theory(equality)],[c_518,c_832]) ).

tff(c_892,plain,
    ( ( a_select3(simplex7_init,'#skF_29','#skF_28') != init )
    | leq('#skF_30',minus(pv1376,n1)) ),
    inference(demodulation,[status(thm),theory(equality)],[c_516,c_862]) ).

tff(c_910,plain,
    ( ( a_select3(simplex7_init,'#skF_29','#skF_28') != init )
    | leq('#skF_30',pred(pv1376)) ),
    inference(demodulation,[status(thm),theory(equality)],[c_470,c_892]) ).

tff(c_17203,plain,
    leq('#skF_30',pred(pv1376)),
    inference(demodulation,[status(thm),theory(equality)],[c_14496,c_910]) ).

tff(c_17204,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_13612,c_17203]) ).

tff(c_17206,plain,
    a_select2(s_values7_init,'#skF_30') = init,
    inference(splitRight,[status(thm)],[c_896]) ).

tff(c_543,plain,
    ( leq(n0,'#skF_28')
    | ( a_select2(s_values7_init,'#skF_30') != init )
    | ~ leq(pv1376,n3)
    | ~ leq(pv20,minus(n330,n1))
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(pv7,minus(n410,n1))
    | ~ leq(n0,pv1376)
    | ~ leq(n0,pv20)
    | ~ leq(n0,pv19)
    | ~ leq(n0,pv7) ),
    inference(cnfTransformation,[status(thm)],[f_554]) ).

tff(c_684,plain,
    ( leq(n0,'#skF_28')
    | ( a_select2(s_values7_init,'#skF_30') != init )
    | ~ leq(pv1376,n3)
    | ~ leq(pv20,minus(n330,n1))
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(pv7,minus(n410,n1))
    | ~ leq(n0,pv1376)
    | ~ leq(n0,pv20)
    | ~ leq(n0,pv19) ),
    inference(demodulation,[status(thm),theory(equality)],[c_530,c_543]) ).

tff(c_714,plain,
    ( leq(n0,'#skF_28')
    | ( a_select2(s_values7_init,'#skF_30') != init )
    | ~ leq(pv1376,n3)
    | ~ leq(pv20,minus(n330,n1))
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(pv7,minus(n410,n1))
    | ~ leq(n0,pv1376)
    | ~ leq(n0,pv20) ),
    inference(demodulation,[status(thm),theory(equality)],[c_528,c_684]) ).

tff(c_744,plain,
    ( leq(n0,'#skF_28')
    | ( a_select2(s_values7_init,'#skF_30') != init )
    | ~ leq(pv1376,n3)
    | ~ leq(pv20,minus(n330,n1))
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(pv7,minus(n410,n1))
    | ~ leq(n0,pv1376) ),
    inference(demodulation,[status(thm),theory(equality)],[c_526,c_714]) ).

tff(c_774,plain,
    ( leq(n0,'#skF_28')
    | ( a_select2(s_values7_init,'#skF_30') != init )
    | ~ leq(pv1376,n3)
    | ~ leq(pv20,minus(n330,n1))
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(pv7,minus(n410,n1)) ),
    inference(demodulation,[status(thm),theory(equality)],[c_524,c_744]) ).

tff(c_804,plain,
    ( leq(n0,'#skF_28')
    | ( a_select2(s_values7_init,'#skF_30') != init )
    | ~ leq(pv1376,n3)
    | ~ leq(pv20,minus(n330,n1))
    | ~ leq(pv19,minus(n410,n1)) ),
    inference(demodulation,[status(thm),theory(equality)],[c_522,c_774]) ).

tff(c_834,plain,
    ( leq(n0,'#skF_28')
    | ( a_select2(s_values7_init,'#skF_30') != init )
    | ~ leq(pv1376,n3)
    | ~ leq(pv20,minus(n330,n1)) ),
    inference(demodulation,[status(thm),theory(equality)],[c_520,c_804]) ).

tff(c_864,plain,
    ( leq(n0,'#skF_28')
    | ( a_select2(s_values7_init,'#skF_30') != init )
    | ~ leq(pv1376,n3) ),
    inference(demodulation,[status(thm),theory(equality)],[c_518,c_834]) ).

tff(c_894,plain,
    ( leq(n0,'#skF_28')
    | ( a_select2(s_values7_init,'#skF_30') != init ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_516,c_864]) ).

tff(c_17254,plain,
    leq(n0,'#skF_28'),
    inference(demodulation,[status(thm),theory(equality)],[c_17206,c_894]) ).

tff(c_17205,plain,
    leq('#skF_28',n2),
    inference(splitRight,[status(thm)],[c_896]) ).

tff(c_539,plain,
    ( leq(n0,'#skF_29')
    | ( a_select2(s_values7_init,'#skF_30') != init )
    | ~ leq(pv1376,n3)
    | ~ leq(pv20,minus(n330,n1))
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(pv7,minus(n410,n1))
    | ~ leq(n0,pv1376)
    | ~ leq(n0,pv20)
    | ~ leq(n0,pv19)
    | ~ leq(n0,pv7) ),
    inference(cnfTransformation,[status(thm)],[f_554]) ).

tff(c_688,plain,
    ( leq(n0,'#skF_29')
    | ( a_select2(s_values7_init,'#skF_30') != init )
    | ~ leq(pv1376,n3)
    | ~ leq(pv20,minus(n330,n1))
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(pv7,minus(n410,n1))
    | ~ leq(n0,pv1376)
    | ~ leq(n0,pv20)
    | ~ leq(n0,pv19) ),
    inference(demodulation,[status(thm),theory(equality)],[c_530,c_539]) ).

tff(c_718,plain,
    ( leq(n0,'#skF_29')
    | ( a_select2(s_values7_init,'#skF_30') != init )
    | ~ leq(pv1376,n3)
    | ~ leq(pv20,minus(n330,n1))
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(pv7,minus(n410,n1))
    | ~ leq(n0,pv1376)
    | ~ leq(n0,pv20) ),
    inference(demodulation,[status(thm),theory(equality)],[c_528,c_688]) ).

tff(c_748,plain,
    ( leq(n0,'#skF_29')
    | ( a_select2(s_values7_init,'#skF_30') != init )
    | ~ leq(pv1376,n3)
    | ~ leq(pv20,minus(n330,n1))
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(pv7,minus(n410,n1))
    | ~ leq(n0,pv1376) ),
    inference(demodulation,[status(thm),theory(equality)],[c_526,c_718]) ).

tff(c_778,plain,
    ( leq(n0,'#skF_29')
    | ( a_select2(s_values7_init,'#skF_30') != init )
    | ~ leq(pv1376,n3)
    | ~ leq(pv20,minus(n330,n1))
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(pv7,minus(n410,n1)) ),
    inference(demodulation,[status(thm),theory(equality)],[c_524,c_748]) ).

tff(c_808,plain,
    ( leq(n0,'#skF_29')
    | ( a_select2(s_values7_init,'#skF_30') != init )
    | ~ leq(pv1376,n3)
    | ~ leq(pv20,minus(n330,n1))
    | ~ leq(pv19,minus(n410,n1)) ),
    inference(demodulation,[status(thm),theory(equality)],[c_522,c_778]) ).

tff(c_838,plain,
    ( leq(n0,'#skF_29')
    | ( a_select2(s_values7_init,'#skF_30') != init )
    | ~ leq(pv1376,n3)
    | ~ leq(pv20,minus(n330,n1)) ),
    inference(demodulation,[status(thm),theory(equality)],[c_520,c_808]) ).

tff(c_868,plain,
    ( leq(n0,'#skF_29')
    | ( a_select2(s_values7_init,'#skF_30') != init )
    | ~ leq(pv1376,n3) ),
    inference(demodulation,[status(thm),theory(equality)],[c_518,c_838]) ).

tff(c_898,plain,
    ( leq(n0,'#skF_29')
    | ( a_select2(s_values7_init,'#skF_30') != init ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_516,c_868]) ).

tff(c_24288,plain,
    leq(n0,'#skF_29'),
    inference(demodulation,[status(thm),theory(equality)],[c_17206,c_898]) ).

tff(c_537,plain,
    ( leq('#skF_29',n3)
    | ( a_select2(s_values7_init,'#skF_30') != init )
    | ~ leq(pv1376,n3)
    | ~ leq(pv20,minus(n330,n1))
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(pv7,minus(n410,n1))
    | ~ leq(n0,pv1376)
    | ~ leq(n0,pv20)
    | ~ leq(n0,pv19)
    | ~ leq(n0,pv7) ),
    inference(cnfTransformation,[status(thm)],[f_554]) ).

tff(c_690,plain,
    ( leq('#skF_29',n3)
    | ( a_select2(s_values7_init,'#skF_30') != init )
    | ~ leq(pv1376,n3)
    | ~ leq(pv20,minus(n330,n1))
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(pv7,minus(n410,n1))
    | ~ leq(n0,pv1376)
    | ~ leq(n0,pv20)
    | ~ leq(n0,pv19) ),
    inference(demodulation,[status(thm),theory(equality)],[c_530,c_537]) ).

tff(c_720,plain,
    ( leq('#skF_29',n3)
    | ( a_select2(s_values7_init,'#skF_30') != init )
    | ~ leq(pv1376,n3)
    | ~ leq(pv20,minus(n330,n1))
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(pv7,minus(n410,n1))
    | ~ leq(n0,pv1376)
    | ~ leq(n0,pv20) ),
    inference(demodulation,[status(thm),theory(equality)],[c_528,c_690]) ).

tff(c_750,plain,
    ( leq('#skF_29',n3)
    | ( a_select2(s_values7_init,'#skF_30') != init )
    | ~ leq(pv1376,n3)
    | ~ leq(pv20,minus(n330,n1))
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(pv7,minus(n410,n1))
    | ~ leq(n0,pv1376) ),
    inference(demodulation,[status(thm),theory(equality)],[c_526,c_720]) ).

tff(c_780,plain,
    ( leq('#skF_29',n3)
    | ( a_select2(s_values7_init,'#skF_30') != init )
    | ~ leq(pv1376,n3)
    | ~ leq(pv20,minus(n330,n1))
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(pv7,minus(n410,n1)) ),
    inference(demodulation,[status(thm),theory(equality)],[c_524,c_750]) ).

tff(c_810,plain,
    ( leq('#skF_29',n3)
    | ( a_select2(s_values7_init,'#skF_30') != init )
    | ~ leq(pv1376,n3)
    | ~ leq(pv20,minus(n330,n1))
    | ~ leq(pv19,minus(n410,n1)) ),
    inference(demodulation,[status(thm),theory(equality)],[c_522,c_780]) ).

tff(c_840,plain,
    ( leq('#skF_29',n3)
    | ( a_select2(s_values7_init,'#skF_30') != init )
    | ~ leq(pv1376,n3)
    | ~ leq(pv20,minus(n330,n1)) ),
    inference(demodulation,[status(thm),theory(equality)],[c_520,c_810]) ).

tff(c_870,plain,
    ( leq('#skF_29',n3)
    | ( a_select2(s_values7_init,'#skF_30') != init )
    | ~ leq(pv1376,n3) ),
    inference(demodulation,[status(thm),theory(equality)],[c_518,c_840]) ).

tff(c_900,plain,
    ( leq('#skF_29',n3)
    | ( a_select2(s_values7_init,'#skF_30') != init ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_516,c_870]) ).

tff(c_24534,plain,
    leq('#skF_29',n3),
    inference(demodulation,[status(thm),theory(equality)],[c_17206,c_900]) ).

tff(c_24539,plain,
    ! [A_181] :
      ( ( a_select3(simplex7_init,'#skF_29',A_181) = init )
      | ~ leq(n0,'#skF_29')
      | ~ leq(A_181,n2)
      | ~ leq(n0,A_181) ),
    inference(resolution,[status(thm)],[c_24534,c_514]) ).

tff(c_26471,plain,
    ! [A_663] :
      ( ( a_select3(simplex7_init,'#skF_29',A_663) = init )
      | ~ leq(A_663,n2)
      | ~ leq(n0,A_663) ),
    inference(demodulation,[status(thm),theory(equality)],[c_24288,c_24539]) ).

tff(c_26475,plain,
    ( ( a_select3(simplex7_init,'#skF_29','#skF_28') = init )
    | ~ leq(n0,'#skF_28') ),
    inference(resolution,[status(thm)],[c_17205,c_26471]) ).

tff(c_26488,plain,
    a_select3(simplex7_init,'#skF_29','#skF_28') = init,
    inference(demodulation,[status(thm),theory(equality)],[c_17254,c_26475]) ).

tff(c_535,plain,
    ( ( a_select3(simplex7_init,'#skF_29','#skF_28') != init )
    | ( a_select2(s_values7_init,'#skF_30') != init )
    | ~ leq(pv1376,n3)
    | ~ leq(pv20,minus(n330,n1))
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(pv7,minus(n410,n1))
    | ~ leq(n0,pv1376)
    | ~ leq(n0,pv20)
    | ~ leq(n0,pv19)
    | ~ leq(n0,pv7) ),
    inference(cnfTransformation,[status(thm)],[f_554]) ).

tff(c_692,plain,
    ( ( a_select3(simplex7_init,'#skF_29','#skF_28') != init )
    | ( a_select2(s_values7_init,'#skF_30') != init )
    | ~ leq(pv1376,n3)
    | ~ leq(pv20,minus(n330,n1))
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(pv7,minus(n410,n1))
    | ~ leq(n0,pv1376)
    | ~ leq(n0,pv20)
    | ~ leq(n0,pv19) ),
    inference(demodulation,[status(thm),theory(equality)],[c_530,c_535]) ).

tff(c_722,plain,
    ( ( a_select3(simplex7_init,'#skF_29','#skF_28') != init )
    | ( a_select2(s_values7_init,'#skF_30') != init )
    | ~ leq(pv1376,n3)
    | ~ leq(pv20,minus(n330,n1))
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(pv7,minus(n410,n1))
    | ~ leq(n0,pv1376)
    | ~ leq(n0,pv20) ),
    inference(demodulation,[status(thm),theory(equality)],[c_528,c_692]) ).

tff(c_752,plain,
    ( ( a_select3(simplex7_init,'#skF_29','#skF_28') != init )
    | ( a_select2(s_values7_init,'#skF_30') != init )
    | ~ leq(pv1376,n3)
    | ~ leq(pv20,minus(n330,n1))
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(pv7,minus(n410,n1))
    | ~ leq(n0,pv1376) ),
    inference(demodulation,[status(thm),theory(equality)],[c_526,c_722]) ).

tff(c_782,plain,
    ( ( a_select3(simplex7_init,'#skF_29','#skF_28') != init )
    | ( a_select2(s_values7_init,'#skF_30') != init )
    | ~ leq(pv1376,n3)
    | ~ leq(pv20,minus(n330,n1))
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(pv7,minus(n410,n1)) ),
    inference(demodulation,[status(thm),theory(equality)],[c_524,c_752]) ).

tff(c_812,plain,
    ( ( a_select3(simplex7_init,'#skF_29','#skF_28') != init )
    | ( a_select2(s_values7_init,'#skF_30') != init )
    | ~ leq(pv1376,n3)
    | ~ leq(pv20,minus(n330,n1))
    | ~ leq(pv19,minus(n410,n1)) ),
    inference(demodulation,[status(thm),theory(equality)],[c_522,c_782]) ).

tff(c_842,plain,
    ( ( a_select3(simplex7_init,'#skF_29','#skF_28') != init )
    | ( a_select2(s_values7_init,'#skF_30') != init )
    | ~ leq(pv1376,n3)
    | ~ leq(pv20,minus(n330,n1)) ),
    inference(demodulation,[status(thm),theory(equality)],[c_520,c_812]) ).

tff(c_872,plain,
    ( ( a_select3(simplex7_init,'#skF_29','#skF_28') != init )
    | ( a_select2(s_values7_init,'#skF_30') != init )
    | ~ leq(pv1376,n3) ),
    inference(demodulation,[status(thm),theory(equality)],[c_518,c_842]) ).

tff(c_902,plain,
    ( ( a_select3(simplex7_init,'#skF_29','#skF_28') != init )
    | ( a_select2(s_values7_init,'#skF_30') != init ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_516,c_872]) ).

tff(c_29212,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_17206,c_26488,c_902]) ).

tff(c_29214,plain,
    ~ leq(n0,'#skF_30'),
    inference(splitRight,[status(thm)],[c_874]) ).

tff(c_563,plain,
    ( leq(n0,'#skF_28')
    | leq(n0,'#skF_30')
    | ~ leq(pv1376,n3)
    | ~ leq(pv20,minus(n330,n1))
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(pv7,minus(n410,n1))
    | ~ leq(n0,pv1376)
    | ~ leq(n0,pv20)
    | ~ leq(n0,pv19)
    | ~ leq(n0,pv7) ),
    inference(cnfTransformation,[status(thm)],[f_554]) ).

tff(c_664,plain,
    ( leq(n0,'#skF_28')
    | leq(n0,'#skF_30')
    | ~ leq(pv1376,n3)
    | ~ leq(pv20,minus(n330,n1))
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(pv7,minus(n410,n1))
    | ~ leq(n0,pv1376)
    | ~ leq(n0,pv20)
    | ~ leq(n0,pv19) ),
    inference(demodulation,[status(thm),theory(equality)],[c_530,c_563]) ).

tff(c_694,plain,
    ( leq(n0,'#skF_28')
    | leq(n0,'#skF_30')
    | ~ leq(pv1376,n3)
    | ~ leq(pv20,minus(n330,n1))
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(pv7,minus(n410,n1))
    | ~ leq(n0,pv1376)
    | ~ leq(n0,pv20) ),
    inference(demodulation,[status(thm),theory(equality)],[c_528,c_664]) ).

tff(c_724,plain,
    ( leq(n0,'#skF_28')
    | leq(n0,'#skF_30')
    | ~ leq(pv1376,n3)
    | ~ leq(pv20,minus(n330,n1))
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(pv7,minus(n410,n1))
    | ~ leq(n0,pv1376) ),
    inference(demodulation,[status(thm),theory(equality)],[c_526,c_694]) ).

tff(c_754,plain,
    ( leq(n0,'#skF_28')
    | leq(n0,'#skF_30')
    | ~ leq(pv1376,n3)
    | ~ leq(pv20,minus(n330,n1))
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(pv7,minus(n410,n1)) ),
    inference(demodulation,[status(thm),theory(equality)],[c_524,c_724]) ).

tff(c_784,plain,
    ( leq(n0,'#skF_28')
    | leq(n0,'#skF_30')
    | ~ leq(pv1376,n3)
    | ~ leq(pv20,minus(n330,n1))
    | ~ leq(pv19,minus(n410,n1)) ),
    inference(demodulation,[status(thm),theory(equality)],[c_522,c_754]) ).

tff(c_814,plain,
    ( leq(n0,'#skF_28')
    | leq(n0,'#skF_30')
    | ~ leq(pv1376,n3)
    | ~ leq(pv20,minus(n330,n1)) ),
    inference(demodulation,[status(thm),theory(equality)],[c_520,c_784]) ).

tff(c_844,plain,
    ( leq(n0,'#skF_28')
    | leq(n0,'#skF_30')
    | ~ leq(pv1376,n3) ),
    inference(demodulation,[status(thm),theory(equality)],[c_518,c_814]) ).

tff(c_876,plain,
    ( leq(n0,'#skF_28')
    | leq(n0,'#skF_30') ),
    inference(demodulation,[status(thm),theory(equality)],[c_516,c_844]) ).

tff(c_29274,plain,
    leq(n0,'#skF_28'),
    inference(negUnitSimplification,[status(thm)],[c_29214,c_876]) ).

tff(c_29213,plain,
    leq('#skF_28',n2),
    inference(splitRight,[status(thm)],[c_874]) ).

tff(c_559,plain,
    ( leq(n0,'#skF_29')
    | leq(n0,'#skF_30')
    | ~ leq(pv1376,n3)
    | ~ leq(pv20,minus(n330,n1))
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(pv7,minus(n410,n1))
    | ~ leq(n0,pv1376)
    | ~ leq(n0,pv20)
    | ~ leq(n0,pv19)
    | ~ leq(n0,pv7) ),
    inference(cnfTransformation,[status(thm)],[f_554]) ).

tff(c_668,plain,
    ( leq(n0,'#skF_29')
    | leq(n0,'#skF_30')
    | ~ leq(pv1376,n3)
    | ~ leq(pv20,minus(n330,n1))
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(pv7,minus(n410,n1))
    | ~ leq(n0,pv1376)
    | ~ leq(n0,pv20)
    | ~ leq(n0,pv19) ),
    inference(demodulation,[status(thm),theory(equality)],[c_530,c_559]) ).

tff(c_698,plain,
    ( leq(n0,'#skF_29')
    | leq(n0,'#skF_30')
    | ~ leq(pv1376,n3)
    | ~ leq(pv20,minus(n330,n1))
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(pv7,minus(n410,n1))
    | ~ leq(n0,pv1376)
    | ~ leq(n0,pv20) ),
    inference(demodulation,[status(thm),theory(equality)],[c_528,c_668]) ).

tff(c_728,plain,
    ( leq(n0,'#skF_29')
    | leq(n0,'#skF_30')
    | ~ leq(pv1376,n3)
    | ~ leq(pv20,minus(n330,n1))
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(pv7,minus(n410,n1))
    | ~ leq(n0,pv1376) ),
    inference(demodulation,[status(thm),theory(equality)],[c_526,c_698]) ).

tff(c_758,plain,
    ( leq(n0,'#skF_29')
    | leq(n0,'#skF_30')
    | ~ leq(pv1376,n3)
    | ~ leq(pv20,minus(n330,n1))
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(pv7,minus(n410,n1)) ),
    inference(demodulation,[status(thm),theory(equality)],[c_524,c_728]) ).

tff(c_788,plain,
    ( leq(n0,'#skF_29')
    | leq(n0,'#skF_30')
    | ~ leq(pv1376,n3)
    | ~ leq(pv20,minus(n330,n1))
    | ~ leq(pv19,minus(n410,n1)) ),
    inference(demodulation,[status(thm),theory(equality)],[c_522,c_758]) ).

tff(c_818,plain,
    ( leq(n0,'#skF_29')
    | leq(n0,'#skF_30')
    | ~ leq(pv1376,n3)
    | ~ leq(pv20,minus(n330,n1)) ),
    inference(demodulation,[status(thm),theory(equality)],[c_520,c_788]) ).

tff(c_848,plain,
    ( leq(n0,'#skF_29')
    | leq(n0,'#skF_30')
    | ~ leq(pv1376,n3) ),
    inference(demodulation,[status(thm),theory(equality)],[c_518,c_818]) ).

tff(c_878,plain,
    ( leq(n0,'#skF_29')
    | leq(n0,'#skF_30') ),
    inference(demodulation,[status(thm),theory(equality)],[c_516,c_848]) ).

tff(c_29265,plain,
    leq(n0,'#skF_29'),
    inference(negUnitSimplification,[status(thm)],[c_29214,c_878]) ).

tff(c_557,plain,
    ( leq('#skF_29',n3)
    | leq(n0,'#skF_30')
    | ~ leq(pv1376,n3)
    | ~ leq(pv20,minus(n330,n1))
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(pv7,minus(n410,n1))
    | ~ leq(n0,pv1376)
    | ~ leq(n0,pv20)
    | ~ leq(n0,pv19)
    | ~ leq(n0,pv7) ),
    inference(cnfTransformation,[status(thm)],[f_554]) ).

tff(c_670,plain,
    ( leq('#skF_29',n3)
    | leq(n0,'#skF_30')
    | ~ leq(pv1376,n3)
    | ~ leq(pv20,minus(n330,n1))
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(pv7,minus(n410,n1))
    | ~ leq(n0,pv1376)
    | ~ leq(n0,pv20)
    | ~ leq(n0,pv19) ),
    inference(demodulation,[status(thm),theory(equality)],[c_530,c_557]) ).

tff(c_700,plain,
    ( leq('#skF_29',n3)
    | leq(n0,'#skF_30')
    | ~ leq(pv1376,n3)
    | ~ leq(pv20,minus(n330,n1))
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(pv7,minus(n410,n1))
    | ~ leq(n0,pv1376)
    | ~ leq(n0,pv20) ),
    inference(demodulation,[status(thm),theory(equality)],[c_528,c_670]) ).

tff(c_730,plain,
    ( leq('#skF_29',n3)
    | leq(n0,'#skF_30')
    | ~ leq(pv1376,n3)
    | ~ leq(pv20,minus(n330,n1))
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(pv7,minus(n410,n1))
    | ~ leq(n0,pv1376) ),
    inference(demodulation,[status(thm),theory(equality)],[c_526,c_700]) ).

tff(c_760,plain,
    ( leq('#skF_29',n3)
    | leq(n0,'#skF_30')
    | ~ leq(pv1376,n3)
    | ~ leq(pv20,minus(n330,n1))
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(pv7,minus(n410,n1)) ),
    inference(demodulation,[status(thm),theory(equality)],[c_524,c_730]) ).

tff(c_790,plain,
    ( leq('#skF_29',n3)
    | leq(n0,'#skF_30')
    | ~ leq(pv1376,n3)
    | ~ leq(pv20,minus(n330,n1))
    | ~ leq(pv19,minus(n410,n1)) ),
    inference(demodulation,[status(thm),theory(equality)],[c_522,c_760]) ).

tff(c_820,plain,
    ( leq('#skF_29',n3)
    | leq(n0,'#skF_30')
    | ~ leq(pv1376,n3)
    | ~ leq(pv20,minus(n330,n1)) ),
    inference(demodulation,[status(thm),theory(equality)],[c_520,c_790]) ).

tff(c_850,plain,
    ( leq('#skF_29',n3)
    | leq(n0,'#skF_30')
    | ~ leq(pv1376,n3) ),
    inference(demodulation,[status(thm),theory(equality)],[c_518,c_820]) ).

tff(c_880,plain,
    ( leq('#skF_29',n3)
    | leq(n0,'#skF_30') ),
    inference(demodulation,[status(thm),theory(equality)],[c_516,c_850]) ).

tff(c_29257,plain,
    leq('#skF_29',n3),
    inference(negUnitSimplification,[status(thm)],[c_29214,c_880]) ).

tff(c_29264,plain,
    ! [A_181] :
      ( ( a_select3(simplex7_init,'#skF_29',A_181) = init )
      | ~ leq(n0,'#skF_29')
      | ~ leq(A_181,n2)
      | ~ leq(n0,A_181) ),
    inference(resolution,[status(thm)],[c_29257,c_514]) ).

tff(c_29284,plain,
    ! [A_711] :
      ( ( a_select3(simplex7_init,'#skF_29',A_711) = init )
      | ~ leq(A_711,n2)
      | ~ leq(n0,A_711) ),
    inference(demodulation,[status(thm),theory(equality)],[c_29265,c_29264]) ).

tff(c_29286,plain,
    ( ( a_select3(simplex7_init,'#skF_29','#skF_28') = init )
    | ~ leq(n0,'#skF_28') ),
    inference(resolution,[status(thm)],[c_29213,c_29284]) ).

tff(c_29298,plain,
    a_select3(simplex7_init,'#skF_29','#skF_28') = init,
    inference(demodulation,[status(thm),theory(equality)],[c_29274,c_29286]) ).

tff(c_555,plain,
    ( ( a_select3(simplex7_init,'#skF_29','#skF_28') != init )
    | leq(n0,'#skF_30')
    | ~ leq(pv1376,n3)
    | ~ leq(pv20,minus(n330,n1))
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(pv7,minus(n410,n1))
    | ~ leq(n0,pv1376)
    | ~ leq(n0,pv20)
    | ~ leq(n0,pv19)
    | ~ leq(n0,pv7) ),
    inference(cnfTransformation,[status(thm)],[f_554]) ).

tff(c_672,plain,
    ( ( a_select3(simplex7_init,'#skF_29','#skF_28') != init )
    | leq(n0,'#skF_30')
    | ~ leq(pv1376,n3)
    | ~ leq(pv20,minus(n330,n1))
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(pv7,minus(n410,n1))
    | ~ leq(n0,pv1376)
    | ~ leq(n0,pv20)
    | ~ leq(n0,pv19) ),
    inference(demodulation,[status(thm),theory(equality)],[c_530,c_555]) ).

tff(c_702,plain,
    ( ( a_select3(simplex7_init,'#skF_29','#skF_28') != init )
    | leq(n0,'#skF_30')
    | ~ leq(pv1376,n3)
    | ~ leq(pv20,minus(n330,n1))
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(pv7,minus(n410,n1))
    | ~ leq(n0,pv1376)
    | ~ leq(n0,pv20) ),
    inference(demodulation,[status(thm),theory(equality)],[c_528,c_672]) ).

tff(c_732,plain,
    ( ( a_select3(simplex7_init,'#skF_29','#skF_28') != init )
    | leq(n0,'#skF_30')
    | ~ leq(pv1376,n3)
    | ~ leq(pv20,minus(n330,n1))
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(pv7,minus(n410,n1))
    | ~ leq(n0,pv1376) ),
    inference(demodulation,[status(thm),theory(equality)],[c_526,c_702]) ).

tff(c_762,plain,
    ( ( a_select3(simplex7_init,'#skF_29','#skF_28') != init )
    | leq(n0,'#skF_30')
    | ~ leq(pv1376,n3)
    | ~ leq(pv20,minus(n330,n1))
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(pv7,minus(n410,n1)) ),
    inference(demodulation,[status(thm),theory(equality)],[c_524,c_732]) ).

tff(c_792,plain,
    ( ( a_select3(simplex7_init,'#skF_29','#skF_28') != init )
    | leq(n0,'#skF_30')
    | ~ leq(pv1376,n3)
    | ~ leq(pv20,minus(n330,n1))
    | ~ leq(pv19,minus(n410,n1)) ),
    inference(demodulation,[status(thm),theory(equality)],[c_522,c_762]) ).

tff(c_822,plain,
    ( ( a_select3(simplex7_init,'#skF_29','#skF_28') != init )
    | leq(n0,'#skF_30')
    | ~ leq(pv1376,n3)
    | ~ leq(pv20,minus(n330,n1)) ),
    inference(demodulation,[status(thm),theory(equality)],[c_520,c_792]) ).

tff(c_852,plain,
    ( ( a_select3(simplex7_init,'#skF_29','#skF_28') != init )
    | leq(n0,'#skF_30')
    | ~ leq(pv1376,n3) ),
    inference(demodulation,[status(thm),theory(equality)],[c_518,c_822]) ).

tff(c_882,plain,
    ( ( a_select3(simplex7_init,'#skF_29','#skF_28') != init )
    | leq(n0,'#skF_30') ),
    inference(demodulation,[status(thm),theory(equality)],[c_516,c_852]) ).

tff(c_32596,plain,
    leq(n0,'#skF_30'),
    inference(demodulation,[status(thm),theory(equality)],[c_29298,c_882]) ).

tff(c_32597,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_29214,c_32596]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem  : SWV030+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.08/0.14  % 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
% 0.14/0.36  % Computer : n023.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 23:02:52 EDT 2023
% 0.14/0.36  % CPUTime  : 
% 22.38/8.23  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 22.38/8.25  
% 22.38/8.25  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 22.51/8.30  
% 22.51/8.30  Inference rules
% 22.51/8.30  ----------------------
% 22.51/8.30  #Ref     : 0
% 22.51/8.30  #Sup     : 7644
% 22.51/8.30  #Fact    : 12
% 22.51/8.30  #Define  : 0
% 22.51/8.30  #Split   : 148
% 22.51/8.30  #Chain   : 0
% 22.51/8.30  #Close   : 0
% 22.51/8.30  
% 22.51/8.30  Ordering : KBO
% 22.51/8.30  
% 22.51/8.30  Simplification rules
% 22.51/8.30  ----------------------
% 22.51/8.30  #Subsume      : 1699
% 22.51/8.30  #Demod        : 3601
% 22.51/8.30  #Tautology    : 1604
% 22.51/8.30  #SimpNegUnit  : 112
% 22.51/8.30  #BackRed      : 554
% 22.51/8.30  
% 22.51/8.30  #Partial instantiations: 0
% 22.51/8.30  #Strategies tried      : 1
% 22.51/8.30  
% 22.51/8.30  Timing (in seconds)
% 22.51/8.30  ----------------------
% 22.51/8.30  Preprocessing        : 0.93
% 22.51/8.30  Parsing              : 0.37
% 22.51/8.30  CNF conversion       : 0.07
% 22.51/8.30  Main loop            : 6.22
% 22.51/8.30  Inferencing          : 1.45
% 22.51/8.30  Reduction            : 2.92
% 22.51/8.30  Demodulation         : 2.15
% 22.51/8.30  BG Simplification    : 0.15
% 22.51/8.30  Subsumption          : 1.33
% 22.51/8.30  Abstraction          : 0.12
% 22.51/8.30  MUC search           : 0.00
% 22.51/8.30  Cooper               : 0.00
% 22.51/8.30  Total                : 7.23
% 22.51/8.30  Index Insertion      : 0.00
% 22.51/8.30  Index Deletion       : 0.00
% 22.51/8.30  Index Matching       : 0.00
% 22.51/8.30  BG Taut test         : 0.00
%------------------------------------------------------------------------------