TSTP Solution File: SYN891-1 by Leo-III---1.7.0

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%------------------------------------------------------------------------------
% File     : Leo-III---1.7.0
% Problem  : SYN891-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_Leo-III %s %d

% Computer : n022.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 : Thu Sep 29 22:49:53 EDT 2022

% Result   : Unsatisfiable 11.40s 3.85s
% Output   : Refutation 11.90s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :  142
% Syntax   : Number of formulae    :  229 (   3 unt;  56 typ;   0 def)
%            Number of atoms       : 2789 (   0 equ;   0 cnn)
%            Maximal formula atoms :   24 (  16 avg)
%            Number of connectives : 26700 (2542   ~;2616   |;   0   &;21542   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   64 (  40 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :  400 ( 400   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   57 (  56 usr;  18 con; 0-20 aty)
%            Number of variables   : 2316 (   0   ^2316   !;   0   ?;2316   :)

% Comments : 
%------------------------------------------------------------------------------
thf(ssNder1_0_type,type,
    ssNder1_0: $o ).

thf(ssNder1_1r1_type,type,
    ssNder1_1r1: $i > $o ).

thf(ssNder1_2r1r1_type,type,
    ssNder1_2r1r1: $i > $i > $o ).

thf(ssNder1_3r1r1r1_type,type,
    ssNder1_3r1r1r1: $i > $i > $i > $o ).

thf(ssNder1_4r1r1r1r1_type,type,
    ssNder1_4r1r1r1r1: $i > $i > $i > $i > $o ).

thf(ssPv16_5r1r1r1r1r1_type,type,
    ssPv16_5r1r1r1r1r1: $i > $i > $i > $i > $i > $o ).

thf(skc30_type,type,
    skc30: $i ).

thf(skc31_type,type,
    skc31: $i ).

thf(ssNder1_5r1r1r1r1r1_type,type,
    ssNder1_5r1r1r1r1r1: $i > $i > $i > $i > $i > $o ).

thf(ssPv15_6r1r1r1r1r1r1_type,type,
    ssPv15_6r1r1r1r1r1r1: $i > $i > $i > $i > $i > $i > $o ).

thf(skc28_type,type,
    skc28: $i ).

thf(skc29_type,type,
    skc29: $i ).

thf(ssNder1_6r1r1r1r1r1r1_type,type,
    ssNder1_6r1r1r1r1r1r1: $i > $i > $i > $i > $i > $i > $o ).

thf(ssPv14_7r1r1r1r1r1r1r1_type,type,
    ssPv14_7r1r1r1r1r1r1r1: $i > $i > $i > $i > $i > $i > $i > $o ).

thf(skc26_type,type,
    skc26: $i ).

thf(skc27_type,type,
    skc27: $i ).

thf(ssNder1_7r1r1r1r1r1r1r1_type,type,
    ssNder1_7r1r1r1r1r1r1r1: $i > $i > $i > $i > $i > $i > $i > $o ).

thf(ssPv13_8r1r1r1r1r1r1r1r1_type,type,
    ssPv13_8r1r1r1r1r1r1r1r1: $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(skc24_type,type,
    skc24: $i ).

thf(skc25_type,type,
    skc25: $i ).

thf(ssNder1_8r1r1r1r1r1r1r1r1_type,type,
    ssNder1_8r1r1r1r1r1r1r1r1: $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(ssPv17_4r1r1r1r1_type,type,
    ssPv17_4r1r1r1r1: $i > $i > $i > $i > $o ).

thf(ssPv20_1r1_type,type,
    ssPv20_1r1: $i > $o ).

thf(ssNder1_9r1r1r1r1r1r1r1r1r1_type,type,
    ssNder1_9r1r1r1r1r1r1r1r1r1: $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(ssNder1_10r1r1r1r1r1r1r1r1r1r1_type,type,
    ssNder1_10r1r1r1r1r1r1r1r1r1r1: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(ssNder1_11r1r1r1r1r1r1r1r1r1r1r1_type,type,
    ssNder1_11r1r1r1r1r1r1r1r1r1r1r1: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1_type,type,
    ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1_type,type,
    ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(skc22_type,type,
    skc22: $i ).

thf(skc23_type,type,
    skc23: $i ).

thf(ssPv10_11r1r1r1r1r1r1r1r1r1r1r1_type,type,
    ssPv10_11r1r1r1r1r1r1r1r1r1r1r1: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(ssPv18_3r1r1r1_type,type,
    ssPv18_3r1r1r1: $i > $i > $i > $o ).

thf(ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1_type,type,
    ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1_type,type,
    ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(skc20_type,type,
    skc20: $i ).

thf(skc21_type,type,
    skc21: $i ).

thf(ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1_type,type,
    ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(ssPv19_2r1r1_type,type,
    ssPv19_2r1r1: $i > $i > $o ).

thf(ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1_type,type,
    ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1_type,type,
    ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(skc18_type,type,
    skc18: $i ).

thf(skc19_type,type,
    skc19: $i ).

thf(ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1_type,type,
    ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1_type,type,
    ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(skc16_type,type,
    skc16: $i ).

thf(ssPv11_10r1r1r1r1r1r1r1r1r1r1_type,type,
    ssPv11_10r1r1r1r1r1r1r1r1r1r1: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(skc17_type,type,
    skc17: $i ).

thf(ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1_type,type,
    ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(ssPv12_9r1r1r1r1r1r1r1r1r1_type,type,
    ssPv12_9r1r1r1r1r1r1r1r1r1: $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1_type,type,
    ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(ssPv4_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1_type,type,
    ssPv4_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1_type,type,
    ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(ssPv3_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1_type,type,
    ssPv3_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1_type,type,
    ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(ssPv2_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1_type,type,
    ssPv2_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(ssPv1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1_type,type,
    ssPv1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(22,negated_conjecture,
    ! [L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ~ ( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J )
      | ~ ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I )
      | ~ ( ssNder1_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ~ ( ssNder1_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G )
      | ~ ( ssNder1_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
      | ~ ( ssNder1_5r1r1r1r1r1 @ A @ B @ C @ D @ E )
      | ~ ( ssNder1_4r1r1r1r1 @ A @ B @ C @ D )
      | ~ ( ssNder1_3r1r1r1 @ A @ B @ C )
      | ~ ( ssNder1_2r1r1 @ A @ B )
      | ~ ( ssNder1_1r1 @ A )
      | ~ ssNder1_0
      | ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause22) ).

thf(129,plain,
    ! [L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ~ ( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J )
      | ~ ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I )
      | ~ ( ssNder1_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ~ ( ssNder1_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G )
      | ~ ( ssNder1_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
      | ~ ( ssNder1_5r1r1r1r1r1 @ A @ B @ C @ D @ E )
      | ~ ( ssNder1_4r1r1r1r1 @ A @ B @ C @ D )
      | ~ ( ssNder1_3r1r1r1 @ A @ B @ C )
      | ~ ( ssNder1_2r1r1 @ A @ B )
      | ~ ( ssNder1_1r1 @ A )
      | ~ ssNder1_0
      | ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).

thf(9,negated_conjecture,
    ! [E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( ssNder1_4r1r1r1r1 @ A @ B @ C @ D )
      | ~ ( ssNder1_3r1r1r1 @ A @ B @ C )
      | ~ ( ssNder1_2r1r1 @ A @ B )
      | ~ ( ssNder1_1r1 @ A )
      | ~ ssNder1_0
      | ( ssPv15_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ skc28 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause9) ).

thf(118,plain,
    ! [E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( ssNder1_4r1r1r1r1 @ A @ B @ C @ D )
      | ~ ( ssNder1_3r1r1r1 @ A @ B @ C )
      | ~ ( ssNder1_2r1r1 @ A @ B )
      | ~ ( ssNder1_1r1 @ A )
      | ~ ssNder1_0
      | ( ssPv15_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ skc28 ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).

thf(32,negated_conjecture,
    ! [N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M )
      | ~ ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L )
      | ~ ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ~ ( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J )
      | ~ ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I )
      | ~ ( ssNder1_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ~ ( ssNder1_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G )
      | ~ ( ssNder1_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
      | ~ ( ssNder1_5r1r1r1r1r1 @ A @ B @ C @ D @ E )
      | ~ ( ssNder1_4r1r1r1r1 @ A @ B @ C @ D )
      | ~ ( ssNder1_3r1r1r1 @ A @ B @ C )
      | ~ ( ssNder1_2r1r1 @ A @ B )
      | ~ ( ssNder1_1r1 @ A )
      | ~ ssNder1_0
      | ( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause32) ).

thf(127,plain,
    ! [N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M )
      | ~ ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L )
      | ~ ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ~ ( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J )
      | ~ ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I )
      | ~ ( ssNder1_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ~ ( ssNder1_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G )
      | ~ ( ssNder1_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
      | ~ ( ssNder1_5r1r1r1r1r1 @ A @ B @ C @ D @ E )
      | ~ ( ssNder1_4r1r1r1r1 @ A @ B @ C @ D )
      | ~ ( ssNder1_3r1r1r1 @ A @ B @ C )
      | ~ ( ssNder1_2r1r1 @ A @ B )
      | ~ ( ssNder1_1r1 @ A )
      | ~ ssNder1_0
      | ( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[32]) ).

thf(53,negated_conjecture,
    ! [P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O )
      | ~ ( ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P )
      | ~ ( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ~ ( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M )
      | ~ ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L )
      | ~ ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ~ ( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J )
      | ~ ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I )
      | ~ ( ssNder1_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ~ ( ssNder1_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G )
      | ~ ( ssPv15_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
      | ~ ( ssNder1_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
      | ~ ( ssNder1_5r1r1r1r1r1 @ A @ B @ C @ D @ E )
      | ~ ( ssNder1_4r1r1r1r1 @ A @ B @ C @ D )
      | ~ ( ssNder1_3r1r1r1 @ A @ B @ C )
      | ~ ( ssNder1_2r1r1 @ A @ B )
      | ~ ( ssNder1_1r1 @ A )
      | ~ ssNder1_0
      | ( ssPv12_9r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I )
      | ( ssPv18_3r1r1r1 @ A @ B @ C ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause53) ).

thf(119,plain,
    ! [P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O )
      | ~ ( ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P )
      | ~ ( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ~ ( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M )
      | ~ ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L )
      | ~ ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ~ ( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J )
      | ~ ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I )
      | ~ ( ssNder1_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ~ ( ssNder1_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G )
      | ~ ( ssPv15_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
      | ~ ( ssNder1_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
      | ~ ( ssNder1_5r1r1r1r1r1 @ A @ B @ C @ D @ E )
      | ~ ( ssNder1_4r1r1r1r1 @ A @ B @ C @ D )
      | ~ ( ssNder1_3r1r1r1 @ A @ B @ C )
      | ~ ( ssNder1_2r1r1 @ A @ B )
      | ~ ( ssNder1_1r1 @ A )
      | ~ ssNder1_0
      | ( ssPv12_9r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I )
      | ( ssPv18_3r1r1r1 @ A @ B @ C ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[53]) ).

thf(81,negated_conjecture,
    ! [T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S )
      | ~ ( ssPv1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T )
      | ~ ( ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R )
      | ~ ( ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ~ ( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P )
      | ~ ( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O )
      | ~ ( ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ~ ( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ~ ( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M )
      | ~ ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L )
      | ~ ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ~ ( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J )
      | ~ ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I )
      | ~ ( ssNder1_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ~ ( ssPv14_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G )
      | ~ ( ssNder1_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G )
      | ~ ( ssNder1_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
      | ~ ( ssNder1_5r1r1r1r1r1 @ A @ B @ C @ D @ E )
      | ~ ( ssNder1_4r1r1r1r1 @ A @ B @ C @ D )
      | ~ ( ssPv18_3r1r1r1 @ A @ B @ C )
      | ~ ( ssNder1_3r1r1r1 @ A @ B @ C )
      | ~ ( ssNder1_2r1r1 @ A @ B )
      | ~ ( ssNder1_1r1 @ A )
      | ~ ssNder1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause81) ).

thf(138,plain,
    ! [T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S )
      | ~ ( ssPv1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T )
      | ~ ( ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R )
      | ~ ( ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ~ ( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P )
      | ~ ( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O )
      | ~ ( ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ~ ( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ~ ( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M )
      | ~ ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L )
      | ~ ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ~ ( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J )
      | ~ ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I )
      | ~ ( ssNder1_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ~ ( ssPv14_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G )
      | ~ ( ssNder1_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G )
      | ~ ( ssNder1_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
      | ~ ( ssNder1_5r1r1r1r1r1 @ A @ B @ C @ D @ E )
      | ~ ( ssNder1_4r1r1r1r1 @ A @ B @ C @ D )
      | ~ ( ssPv18_3r1r1r1 @ A @ B @ C )
      | ~ ( ssNder1_3r1r1r1 @ A @ B @ C )
      | ~ ( ssNder1_2r1r1 @ A @ B )
      | ~ ( ssNder1_1r1 @ A )
      | ~ ssNder1_0 ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[81]) ).

thf(14,negated_conjecture,
    ! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( ssNder1_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
      | ~ ( ssNder1_5r1r1r1r1r1 @ A @ B @ C @ D @ E )
      | ~ ( ssNder1_4r1r1r1r1 @ A @ B @ C @ D )
      | ~ ( ssNder1_3r1r1r1 @ A @ B @ C )
      | ~ ( ssNder1_2r1r1 @ A @ B )
      | ~ ( ssNder1_1r1 @ A )
      | ~ ssNder1_0
      | ( ssNder1_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause14) ).

thf(101,plain,
    ! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( ssNder1_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
      | ~ ( ssNder1_5r1r1r1r1r1 @ A @ B @ C @ D @ E )
      | ~ ( ssNder1_4r1r1r1r1 @ A @ B @ C @ D )
      | ~ ( ssNder1_3r1r1r1 @ A @ B @ C )
      | ~ ( ssNder1_2r1r1 @ A @ B )
      | ~ ( ssNder1_1r1 @ A )
      | ~ ssNder1_0
      | ( ssNder1_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).

thf(5,negated_conjecture,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( ssNder1_3r1r1r1 @ A @ B @ C )
      | ~ ( ssNder1_2r1r1 @ A @ B )
      | ~ ( ssNder1_1r1 @ A )
      | ~ ssNder1_0
      | ( ssNder1_4r1r1r1r1 @ A @ B @ C @ D ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause5) ).

thf(88,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( ssNder1_3r1r1r1 @ A @ B @ C )
      | ~ ( ssNder1_2r1r1 @ A @ B )
      | ~ ( ssNder1_1r1 @ A )
      | ~ ssNder1_0
      | ( ssNder1_4r1r1r1r1 @ A @ B @ C @ D ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).

thf(15,negated_conjecture,
    ! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( ssNder1_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
      | ~ ( ssNder1_5r1r1r1r1r1 @ A @ B @ C @ D @ E )
      | ~ ( ssNder1_4r1r1r1r1 @ A @ B @ C @ D )
      | ~ ( ssNder1_3r1r1r1 @ A @ B @ C )
      | ~ ( ssNder1_2r1r1 @ A @ B )
      | ~ ( ssNder1_1r1 @ A )
      | ~ ssNder1_0
      | ( ssPv13_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ skc24 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause15) ).

thf(170,plain,
    ! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( ssNder1_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
      | ~ ( ssNder1_5r1r1r1r1r1 @ A @ B @ C @ D @ E )
      | ~ ( ssNder1_4r1r1r1r1 @ A @ B @ C @ D )
      | ~ ( ssNder1_3r1r1r1 @ A @ B @ C )
      | ~ ( ssNder1_2r1r1 @ A @ B )
      | ~ ( ssNder1_1r1 @ A )
      | ~ ssNder1_0
      | ( ssPv13_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ skc24 ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).

thf(33,negated_conjecture,
    ! [N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M )
      | ~ ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L )
      | ~ ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ~ ( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J )
      | ~ ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I )
      | ~ ( ssNder1_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ~ ( ssNder1_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G )
      | ~ ( ssNder1_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
      | ~ ( ssNder1_5r1r1r1r1r1 @ A @ B @ C @ D @ E )
      | ~ ( ssNder1_4r1r1r1r1 @ A @ B @ C @ D )
      | ~ ( ssNder1_3r1r1r1 @ A @ B @ C )
      | ~ ( ssNder1_2r1r1 @ A @ B )
      | ~ ( ssNder1_1r1 @ A )
      | ~ ssNder1_0
      | ( ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ skc18 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause33) ).

thf(115,plain,
    ! [N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M )
      | ~ ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L )
      | ~ ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ~ ( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J )
      | ~ ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I )
      | ~ ( ssNder1_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ~ ( ssNder1_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G )
      | ~ ( ssNder1_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
      | ~ ( ssNder1_5r1r1r1r1r1 @ A @ B @ C @ D @ E )
      | ~ ( ssNder1_4r1r1r1r1 @ A @ B @ C @ D )
      | ~ ( ssNder1_3r1r1r1 @ A @ B @ C )
      | ~ ( ssNder1_2r1r1 @ A @ B )
      | ~ ( ssNder1_1r1 @ A )
      | ~ ssNder1_0
      | ( ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ skc18 ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[33]) ).

thf(13,negated_conjecture,
    ! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( ssPv14_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ skc27 )
      | ~ ( ssNder1_5r1r1r1r1r1 @ A @ B @ C @ D @ E )
      | ~ ( ssNder1_4r1r1r1r1 @ A @ B @ C @ D )
      | ~ ( ssNder1_3r1r1r1 @ A @ B @ C )
      | ~ ( ssNder1_2r1r1 @ A @ B )
      | ~ ( ssNder1_1r1 @ A )
      | ~ ssNder1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause13) ).

thf(120,plain,
    ! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( ssPv14_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ skc27 )
      | ~ ( ssNder1_5r1r1r1r1r1 @ A @ B @ C @ D @ E )
      | ~ ( ssNder1_4r1r1r1r1 @ A @ B @ C @ D )
      | ~ ( ssNder1_3r1r1r1 @ A @ B @ C )
      | ~ ( ssNder1_2r1r1 @ A @ B )
      | ~ ( ssNder1_1r1 @ A )
      | ~ ssNder1_0 ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).

thf(3,negated_conjecture,
    ! [B: $i,A: $i] :
      ( ~ ( ssNder1_1r1 @ A )
      | ~ ssNder1_0
      | ( ssNder1_2r1r1 @ A @ B ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause3) ).

thf(142,plain,
    ! [B: $i,A: $i] :
      ( ~ ( ssNder1_1r1 @ A )
      | ~ ssNder1_0
      | ( ssNder1_2r1r1 @ A @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).

thf(72,negated_conjecture,
    ! [S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R )
      | ~ ( ssPv2_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S )
      | ~ ( ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ~ ( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P )
      | ~ ( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O )
      | ~ ( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ~ ( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M )
      | ~ ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L )
      | ~ ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ~ ( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J )
      | ~ ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I )
      | ~ ( ssNder1_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ~ ( ssPv14_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G )
      | ~ ( ssNder1_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G )
      | ~ ( ssNder1_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
      | ~ ( ssNder1_5r1r1r1r1r1 @ A @ B @ C @ D @ E )
      | ~ ( ssNder1_4r1r1r1r1 @ A @ B @ C @ D )
      | ~ ( ssNder1_3r1r1r1 @ A @ B @ C )
      | ~ ( ssNder1_2r1r1 @ A @ B )
      | ~ ( ssNder1_1r1 @ A )
      | ~ ssNder1_0
      | ( ssPv15_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
      | ( ssPv19_2r1r1 @ A @ B ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause72) ).

thf(153,plain,
    ! [S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R )
      | ~ ( ssPv2_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S )
      | ~ ( ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ~ ( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P )
      | ~ ( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O )
      | ~ ( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ~ ( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M )
      | ~ ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L )
      | ~ ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ~ ( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J )
      | ~ ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I )
      | ~ ( ssNder1_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ~ ( ssPv14_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G )
      | ~ ( ssNder1_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G )
      | ~ ( ssNder1_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
      | ~ ( ssNder1_5r1r1r1r1r1 @ A @ B @ C @ D @ E )
      | ~ ( ssNder1_4r1r1r1r1 @ A @ B @ C @ D )
      | ~ ( ssNder1_3r1r1r1 @ A @ B @ C )
      | ~ ( ssNder1_2r1r1 @ A @ B )
      | ~ ( ssNder1_1r1 @ A )
      | ~ ssNder1_0
      | ( ssPv15_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
      | ( ssPv19_2r1r1 @ A @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[72]) ).

thf(6,negated_conjecture,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( ssNder1_3r1r1r1 @ A @ B @ C )
      | ~ ( ssNder1_2r1r1 @ A @ B )
      | ~ ( ssNder1_1r1 @ A )
      | ~ ssNder1_0
      | ( ssPv16_5r1r1r1r1r1 @ A @ B @ C @ D @ skc30 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause6) ).

thf(110,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( ssNder1_3r1r1r1 @ A @ B @ C )
      | ~ ( ssNder1_2r1r1 @ A @ B )
      | ~ ( ssNder1_1r1 @ A )
      | ~ ssNder1_0
      | ( ssPv16_5r1r1r1r1r1 @ A @ B @ C @ D @ skc30 ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).

thf(64,negated_conjecture,
    ! [Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P )
      | ~ ( ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O )
      | ~ ( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O )
      | ~ ( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ~ ( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M )
      | ~ ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L )
      | ~ ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ~ ( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J )
      | ~ ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I )
      | ~ ( ssNder1_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ~ ( ssNder1_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G )
      | ~ ( ssNder1_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
      | ~ ( ssNder1_5r1r1r1r1r1 @ A @ B @ C @ D @ E )
      | ~ ( ssNder1_4r1r1r1r1 @ A @ B @ C @ D )
      | ~ ( ssNder1_3r1r1r1 @ A @ B @ C )
      | ~ ( ssNder1_2r1r1 @ A @ B )
      | ~ ( ssNder1_1r1 @ A )
      | ~ ssNder1_0
      | ( ssPv4_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ( ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M )
      | ( ssPv18_3r1r1r1 @ A @ B @ C ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause64) ).

thf(125,plain,
    ! [Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P )
      | ~ ( ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O )
      | ~ ( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O )
      | ~ ( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ~ ( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M )
      | ~ ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L )
      | ~ ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ~ ( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J )
      | ~ ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I )
      | ~ ( ssNder1_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ~ ( ssNder1_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G )
      | ~ ( ssNder1_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
      | ~ ( ssNder1_5r1r1r1r1r1 @ A @ B @ C @ D @ E )
      | ~ ( ssNder1_4r1r1r1r1 @ A @ B @ C @ D )
      | ~ ( ssNder1_3r1r1r1 @ A @ B @ C )
      | ~ ( ssNder1_2r1r1 @ A @ B )
      | ~ ( ssNder1_1r1 @ A )
      | ~ ssNder1_0
      | ( ssPv4_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ( ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M )
      | ( ssPv18_3r1r1r1 @ A @ B @ C ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[64]) ).

thf(55,negated_conjecture,
    ! [P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O )
      | ~ ( ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P )
      | ~ ( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ~ ( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M )
      | ~ ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L )
      | ~ ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ~ ( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J )
      | ~ ( ssPv12_9r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I )
      | ~ ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I )
      | ~ ( ssNder1_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ~ ( ssNder1_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G )
      | ~ ( ssNder1_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
      | ~ ( ssNder1_5r1r1r1r1r1 @ A @ B @ C @ D @ E )
      | ~ ( ssNder1_4r1r1r1r1 @ A @ B @ C @ D )
      | ~ ( ssNder1_3r1r1r1 @ A @ B @ C )
      | ~ ( ssNder1_2r1r1 @ A @ B )
      | ~ ( ssNder1_1r1 @ A )
      | ~ ssNder1_0
      | ( ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M )
      | ( ssPv17_4r1r1r1r1 @ A @ B @ C @ D ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause55) ).

thf(157,plain,
    ! [P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O )
      | ~ ( ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P )
      | ~ ( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ~ ( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M )
      | ~ ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L )
      | ~ ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ~ ( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J )
      | ~ ( ssPv12_9r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I )
      | ~ ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I )
      | ~ ( ssNder1_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ~ ( ssNder1_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G )
      | ~ ( ssNder1_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
      | ~ ( ssNder1_5r1r1r1r1r1 @ A @ B @ C @ D @ E )
      | ~ ( ssNder1_4r1r1r1r1 @ A @ B @ C @ D )
      | ~ ( ssNder1_3r1r1r1 @ A @ B @ C )
      | ~ ( ssNder1_2r1r1 @ A @ B )
      | ~ ( ssNder1_1r1 @ A )
      | ~ ssNder1_0
      | ( ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M )
      | ( ssPv17_4r1r1r1r1 @ A @ B @ C @ D ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[55]) ).

thf(83,negated_conjecture,
    ! [T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S )
      | ~ ( ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R )
      | ~ ( ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ~ ( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P )
      | ~ ( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O )
      | ~ ( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ~ ( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M )
      | ~ ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L )
      | ~ ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ~ ( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J )
      | ~ ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I )
      | ~ ( ssNder1_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ~ ( ssPv14_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G )
      | ~ ( ssNder1_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G )
      | ~ ( ssNder1_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
      | ~ ( ssPv16_5r1r1r1r1r1 @ A @ B @ C @ D @ E )
      | ~ ( ssNder1_5r1r1r1r1r1 @ A @ B @ C @ D @ E )
      | ~ ( ssNder1_4r1r1r1r1 @ A @ B @ C @ D )
      | ~ ( ssNder1_3r1r1r1 @ A @ B @ C )
      | ~ ( ssNder1_2r1r1 @ A @ B )
      | ~ ( ssNder1_1r1 @ A )
      | ~ ssNder1_0
      | ( ssPv1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T )
      | ( ssPv4_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause83) ).

thf(93,plain,
    ! [T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S )
      | ~ ( ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R )
      | ~ ( ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ~ ( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P )
      | ~ ( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O )
      | ~ ( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ~ ( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M )
      | ~ ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L )
      | ~ ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ~ ( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J )
      | ~ ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I )
      | ~ ( ssNder1_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ~ ( ssPv14_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G )
      | ~ ( ssNder1_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G )
      | ~ ( ssNder1_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
      | ~ ( ssPv16_5r1r1r1r1r1 @ A @ B @ C @ D @ E )
      | ~ ( ssNder1_5r1r1r1r1r1 @ A @ B @ C @ D @ E )
      | ~ ( ssNder1_4r1r1r1r1 @ A @ B @ C @ D )
      | ~ ( ssNder1_3r1r1r1 @ A @ B @ C )
      | ~ ( ssNder1_2r1r1 @ A @ B )
      | ~ ( ssNder1_1r1 @ A )
      | ~ ssNder1_0
      | ( ssPv1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T )
      | ( ssPv4_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[83]) ).

thf(11,negated_conjecture,
    ! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( ssNder1_5r1r1r1r1r1 @ A @ B @ C @ D @ E )
      | ~ ( ssNder1_4r1r1r1r1 @ A @ B @ C @ D )
      | ~ ( ssNder1_3r1r1r1 @ A @ B @ C )
      | ~ ( ssNder1_2r1r1 @ A @ B )
      | ~ ( ssNder1_1r1 @ A )
      | ~ ssNder1_0
      | ( ssNder1_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause11) ).

thf(152,plain,
    ! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( ssNder1_5r1r1r1r1r1 @ A @ B @ C @ D @ E )
      | ~ ( ssNder1_4r1r1r1r1 @ A @ B @ C @ D )
      | ~ ( ssNder1_3r1r1r1 @ A @ B @ C )
      | ~ ( ssNder1_2r1r1 @ A @ B )
      | ~ ( ssNder1_1r1 @ A )
      | ~ ssNder1_0
      | ( ssNder1_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).

thf(30,negated_conjecture,
    ! [L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ~ ( ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L )
      | ~ ( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J )
      | ~ ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I )
      | ~ ( ssNder1_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ~ ( ssNder1_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G )
      | ~ ( ssPv15_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
      | ~ ( ssNder1_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
      | ~ ( ssNder1_5r1r1r1r1r1 @ A @ B @ C @ D @ E )
      | ~ ( ssNder1_4r1r1r1r1 @ A @ B @ C @ D )
      | ~ ( ssNder1_3r1r1r1 @ A @ B @ C )
      | ~ ( ssPv19_2r1r1 @ A @ B )
      | ~ ( ssNder1_2r1r1 @ A @ B )
      | ~ ( ssNder1_1r1 @ A )
      | ~ ssNder1_0
      | ( ssPv16_5r1r1r1r1r1 @ A @ B @ C @ D @ E ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause30) ).

thf(164,plain,
    ! [L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ~ ( ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L )
      | ~ ( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J )
      | ~ ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I )
      | ~ ( ssNder1_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ~ ( ssNder1_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G )
      | ~ ( ssPv15_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
      | ~ ( ssNder1_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
      | ~ ( ssNder1_5r1r1r1r1r1 @ A @ B @ C @ D @ E )
      | ~ ( ssNder1_4r1r1r1r1 @ A @ B @ C @ D )
      | ~ ( ssNder1_3r1r1r1 @ A @ B @ C )
      | ~ ( ssPv19_2r1r1 @ A @ B )
      | ~ ( ssNder1_2r1r1 @ A @ B )
      | ~ ( ssNder1_1r1 @ A )
      | ~ ssNder1_0
      | ( ssPv16_5r1r1r1r1r1 @ A @ B @ C @ D @ E ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[30]) ).

thf(29,negated_conjecture,
    ! [M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ skc21 )
      | ~ ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L )
      | ~ ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ~ ( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J )
      | ~ ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I )
      | ~ ( ssNder1_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ~ ( ssNder1_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G )
      | ~ ( ssNder1_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
      | ~ ( ssNder1_5r1r1r1r1r1 @ A @ B @ C @ D @ E )
      | ~ ( ssNder1_4r1r1r1r1 @ A @ B @ C @ D )
      | ~ ( ssNder1_3r1r1r1 @ A @ B @ C )
      | ~ ( ssNder1_2r1r1 @ A @ B )
      | ~ ( ssNder1_1r1 @ A )
      | ~ ssNder1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause29) ).

thf(106,plain,
    ! [M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ skc21 )
      | ~ ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L )
      | ~ ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ~ ( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J )
      | ~ ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I )
      | ~ ( ssNder1_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ~ ( ssNder1_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G )
      | ~ ( ssNder1_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
      | ~ ( ssNder1_5r1r1r1r1r1 @ A @ B @ C @ D @ E )
      | ~ ( ssNder1_4r1r1r1r1 @ A @ B @ C @ D )
      | ~ ( ssNder1_3r1r1r1 @ A @ B @ C )
      | ~ ( ssNder1_2r1r1 @ A @ B )
      | ~ ( ssNder1_1r1 @ A )
      | ~ ssNder1_0 ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[29]) ).

thf(41,negated_conjecture,
    ! [O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ skc17 )
      | ~ ( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ~ ( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M )
      | ~ ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L )
      | ~ ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ~ ( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J )
      | ~ ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I )
      | ~ ( ssNder1_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ~ ( ssNder1_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G )
      | ~ ( ssNder1_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
      | ~ ( ssNder1_5r1r1r1r1r1 @ A @ B @ C @ D @ E )
      | ~ ( ssNder1_4r1r1r1r1 @ A @ B @ C @ D )
      | ~ ( ssNder1_3r1r1r1 @ A @ B @ C )
      | ~ ( ssNder1_2r1r1 @ A @ B )
      | ~ ( ssNder1_1r1 @ A )
      | ~ ssNder1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause41) ).

thf(121,plain,
    ! [O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ skc17 )
      | ~ ( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ~ ( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M )
      | ~ ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L )
      | ~ ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ~ ( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J )
      | ~ ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I )
      | ~ ( ssNder1_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ~ ( ssNder1_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G )
      | ~ ( ssNder1_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
      | ~ ( ssNder1_5r1r1r1r1r1 @ A @ B @ C @ D @ E )
      | ~ ( ssNder1_4r1r1r1r1 @ A @ B @ C @ D )
      | ~ ( ssNder1_3r1r1r1 @ A @ B @ C )
      | ~ ( ssNder1_2r1r1 @ A @ B )
      | ~ ( ssNder1_1r1 @ A )
      | ~ ssNder1_0 ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[41]) ).

thf(18,negated_conjecture,
    ! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( ssNder1_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
      | ~ ( ssPv14_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G )
      | ~ ( ssNder1_5r1r1r1r1r1 @ A @ B @ C @ D @ E )
      | ~ ( ssPv17_4r1r1r1r1 @ A @ B @ C @ D )
      | ~ ( ssNder1_4r1r1r1r1 @ A @ B @ C @ D )
      | ~ ( ssNder1_3r1r1r1 @ A @ B @ C )
      | ~ ( ssNder1_2r1r1 @ A @ B )
      | ~ ( ssNder1_1r1 @ A )
      | ~ ssNder1_0
      | ( ssPv15_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
      | ( ssPv20_1r1 @ A ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause18) ).

thf(147,plain,
    ! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( ssNder1_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
      | ~ ( ssPv14_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G )
      | ~ ( ssNder1_5r1r1r1r1r1 @ A @ B @ C @ D @ E )
      | ~ ( ssPv17_4r1r1r1r1 @ A @ B @ C @ D )
      | ~ ( ssNder1_4r1r1r1r1 @ A @ B @ C @ D )
      | ~ ( ssNder1_3r1r1r1 @ A @ B @ C )
      | ~ ( ssNder1_2r1r1 @ A @ B )
      | ~ ( ssNder1_1r1 @ A )
      | ~ ssNder1_0
      | ( ssPv15_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
      | ( ssPv20_1r1 @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).

thf(27,negated_conjecture,
    ! [M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L )
      | ~ ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ~ ( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J )
      | ~ ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I )
      | ~ ( ssNder1_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ~ ( ssNder1_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G )
      | ~ ( ssNder1_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
      | ~ ( ssNder1_5r1r1r1r1r1 @ A @ B @ C @ D @ E )
      | ~ ( ssNder1_4r1r1r1r1 @ A @ B @ C @ D )
      | ~ ( ssNder1_3r1r1r1 @ A @ B @ C )
      | ~ ( ssNder1_2r1r1 @ A @ B )
      | ~ ( ssNder1_1r1 @ A )
      | ~ ssNder1_0
      | ( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause27) ).

thf(132,plain,
    ! [M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L )
      | ~ ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ~ ( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J )
      | ~ ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I )
      | ~ ( ssNder1_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ~ ( ssNder1_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G )
      | ~ ( ssNder1_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
      | ~ ( ssNder1_5r1r1r1r1r1 @ A @ B @ C @ D @ E )
      | ~ ( ssNder1_4r1r1r1r1 @ A @ B @ C @ D )
      | ~ ( ssNder1_3r1r1r1 @ A @ B @ C )
      | ~ ( ssNder1_2r1r1 @ A @ B )
      | ~ ( ssNder1_1r1 @ A )
      | ~ ssNder1_0
      | ( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[27]) ).

thf(28,negated_conjecture,
    ! [M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L )
      | ~ ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ~ ( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J )
      | ~ ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I )
      | ~ ( ssNder1_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ~ ( ssNder1_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G )
      | ~ ( ssNder1_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
      | ~ ( ssNder1_5r1r1r1r1r1 @ A @ B @ C @ D @ E )
      | ~ ( ssNder1_4r1r1r1r1 @ A @ B @ C @ D )
      | ~ ( ssNder1_3r1r1r1 @ A @ B @ C )
      | ~ ( ssNder1_2r1r1 @ A @ B )
      | ~ ( ssNder1_1r1 @ A )
      | ~ ssNder1_0
      | ( ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ skc20 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause28) ).

thf(116,plain,
    ! [M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L )
      | ~ ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ~ ( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J )
      | ~ ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I )
      | ~ ( ssNder1_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ~ ( ssNder1_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G )
      | ~ ( ssNder1_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
      | ~ ( ssNder1_5r1r1r1r1r1 @ A @ B @ C @ D @ E )
      | ~ ( ssNder1_4r1r1r1r1 @ A @ B @ C @ D )
      | ~ ( ssNder1_3r1r1r1 @ A @ B @ C )
      | ~ ( ssNder1_2r1r1 @ A @ B )
      | ~ ( ssNder1_1r1 @ A )
      | ~ ssNder1_0
      | ( ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ skc20 ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[28]) ).

thf(84,negated_conjecture,
    ! [T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S )
      | ~ ( ssPv1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T )
      | ~ ( ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R )
      | ~ ( ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ~ ( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P )
      | ~ ( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O )
      | ~ ( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ~ ( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M )
      | ~ ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L )
      | ~ ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ~ ( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J )
      | ~ ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I )
      | ~ ( ssNder1_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ~ ( ssPv14_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G )
      | ~ ( ssNder1_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G )
      | ~ ( ssPv15_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
      | ~ ( ssNder1_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
      | ~ ( ssNder1_5r1r1r1r1r1 @ A @ B @ C @ D @ E )
      | ~ ( ssNder1_4r1r1r1r1 @ A @ B @ C @ D )
      | ~ ( ssNder1_3r1r1r1 @ A @ B @ C )
      | ~ ( ssNder1_2r1r1 @ A @ B )
      | ~ ( ssNder1_1r1 @ A )
      | ~ ssNder1_0
      | ( ssPv4_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause84) ).

thf(89,plain,
    ! [T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S )
      | ~ ( ssPv1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T )
      | ~ ( ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R )
      | ~ ( ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ~ ( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P )
      | ~ ( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O )
      | ~ ( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ~ ( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M )
      | ~ ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L )
      | ~ ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ~ ( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J )
      | ~ ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I )
      | ~ ( ssNder1_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ~ ( ssPv14_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G )
      | ~ ( ssNder1_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G )
      | ~ ( ssPv15_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
      | ~ ( ssNder1_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
      | ~ ( ssNder1_5r1r1r1r1r1 @ A @ B @ C @ D @ E )
      | ~ ( ssNder1_4r1r1r1r1 @ A @ B @ C @ D )
      | ~ ( ssNder1_3r1r1r1 @ A @ B @ C )
      | ~ ( ssNder1_2r1r1 @ A @ B )
      | ~ ( ssNder1_1r1 @ A )
      | ~ ssNder1_0
      | ( ssPv4_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[84]) ).

thf(71,negated_conjecture,
    ! [R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ~ ( ssPv3_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R )
      | ~ ( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P )
      | ~ ( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O )
      | ~ ( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ~ ( ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M )
      | ~ ( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M )
      | ~ ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L )
      | ~ ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ~ ( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J )
      | ~ ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I )
      | ~ ( ssPv13_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ~ ( ssNder1_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ~ ( ssNder1_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G )
      | ~ ( ssNder1_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
      | ~ ( ssNder1_5r1r1r1r1r1 @ A @ B @ C @ D @ E )
      | ~ ( ssNder1_4r1r1r1r1 @ A @ B @ C @ D )
      | ~ ( ssNder1_3r1r1r1 @ A @ B @ C )
      | ~ ( ssNder1_2r1r1 @ A @ B )
      | ~ ( ssNder1_1r1 @ A )
      | ~ ssNder1_0
      | ( ssPv12_9r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause71) ).

thf(133,plain,
    ! [R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ~ ( ssPv3_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R )
      | ~ ( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P )
      | ~ ( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O )
      | ~ ( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ~ ( ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M )
      | ~ ( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M )
      | ~ ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L )
      | ~ ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ~ ( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J )
      | ~ ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I )
      | ~ ( ssPv13_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ~ ( ssNder1_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ~ ( ssNder1_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G )
      | ~ ( ssNder1_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
      | ~ ( ssNder1_5r1r1r1r1r1 @ A @ B @ C @ D @ E )
      | ~ ( ssNder1_4r1r1r1r1 @ A @ B @ C @ D )
      | ~ ( ssNder1_3r1r1r1 @ A @ B @ C )
      | ~ ( ssNder1_2r1r1 @ A @ B )
      | ~ ( ssNder1_1r1 @ A )
      | ~ ssNder1_0
      | ( ssPv12_9r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[71]) ).

thf(38,negated_conjecture,
    ! [M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L )
      | ~ ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L )
      | ~ ( ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M )
      | ~ ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ~ ( ssPv11_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J )
      | ~ ( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J )
      | ~ ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I )
      | ~ ( ssNder1_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ~ ( ssNder1_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G )
      | ~ ( ssNder1_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
      | ~ ( ssNder1_5r1r1r1r1r1 @ A @ B @ C @ D @ E )
      | ~ ( ssNder1_4r1r1r1r1 @ A @ B @ C @ D )
      | ~ ( ssNder1_3r1r1r1 @ A @ B @ C )
      | ~ ( ssNder1_2r1r1 @ A @ B )
      | ~ ( ssNder1_1r1 @ A )
      | ~ ssNder1_0
      | ( ssPv15_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause38) ).

thf(117,plain,
    ! [M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L )
      | ~ ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L )
      | ~ ( ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M )
      | ~ ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ~ ( ssPv11_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J )
      | ~ ( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J )
      | ~ ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I )
      | ~ ( ssNder1_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ~ ( ssNder1_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G )
      | ~ ( ssNder1_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
      | ~ ( ssNder1_5r1r1r1r1r1 @ A @ B @ C @ D @ E )
      | ~ ( ssNder1_4r1r1r1r1 @ A @ B @ C @ D )
      | ~ ( ssNder1_3r1r1r1 @ A @ B @ C )
      | ~ ( ssNder1_2r1r1 @ A @ B )
      | ~ ( ssNder1_1r1 @ A )
      | ~ ssNder1_0
      | ( ssPv15_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[38]) ).

thf(20,negated_conjecture,
    ! [J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I )
      | ~ ( ssNder1_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ~ ( ssNder1_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G )
      | ~ ( ssNder1_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
      | ~ ( ssNder1_5r1r1r1r1r1 @ A @ B @ C @ D @ E )
      | ~ ( ssNder1_4r1r1r1r1 @ A @ B @ C @ D )
      | ~ ( ssNder1_3r1r1r1 @ A @ B @ C )
      | ~ ( ssNder1_2r1r1 @ A @ B )
      | ~ ( ssNder1_1r1 @ A )
      | ~ ssNder1_0
      | ( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause20) ).

thf(102,plain,
    ! [J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I )
      | ~ ( ssNder1_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ~ ( ssNder1_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G )
      | ~ ( ssNder1_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
      | ~ ( ssNder1_5r1r1r1r1r1 @ A @ B @ C @ D @ E )
      | ~ ( ssNder1_4r1r1r1r1 @ A @ B @ C @ D )
      | ~ ( ssNder1_3r1r1r1 @ A @ B @ C )
      | ~ ( ssNder1_2r1r1 @ A @ B )
      | ~ ( ssNder1_1r1 @ A )
      | ~ ssNder1_0
      | ( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).

thf(75,negated_conjecture,
    ! [S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R )
      | ~ ( ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ~ ( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P )
      | ~ ( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O )
      | ~ ( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ~ ( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M )
      | ~ ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L )
      | ~ ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ~ ( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J )
      | ~ ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I )
      | ~ ( ssNder1_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ~ ( ssNder1_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G )
      | ~ ( ssNder1_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
      | ~ ( ssNder1_5r1r1r1r1r1 @ A @ B @ C @ D @ E )
      | ~ ( ssNder1_4r1r1r1r1 @ A @ B @ C @ D )
      | ~ ( ssNder1_3r1r1r1 @ A @ B @ C )
      | ~ ( ssPv19_2r1r1 @ A @ B )
      | ~ ( ssNder1_2r1r1 @ A @ B )
      | ~ ( ssNder1_1r1 @ A )
      | ~ ssNder1_0
      | ( ssPv2_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S )
      | ( ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ( ssPv13_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause75) ).

thf(160,plain,
    ! [S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R )
      | ~ ( ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ~ ( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P )
      | ~ ( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O )
      | ~ ( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ~ ( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M )
      | ~ ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L )
      | ~ ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ~ ( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J )
      | ~ ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I )
      | ~ ( ssNder1_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ~ ( ssNder1_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G )
      | ~ ( ssNder1_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
      | ~ ( ssNder1_5r1r1r1r1r1 @ A @ B @ C @ D @ E )
      | ~ ( ssNder1_4r1r1r1r1 @ A @ B @ C @ D )
      | ~ ( ssNder1_3r1r1r1 @ A @ B @ C )
      | ~ ( ssPv19_2r1r1 @ A @ B )
      | ~ ( ssNder1_2r1r1 @ A @ B )
      | ~ ( ssNder1_1r1 @ A )
      | ~ ssNder1_0
      | ( ssPv2_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S )
      | ( ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ( ssPv13_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[75]) ).

thf(86,negated_conjecture,
    ! [T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S )
      | ~ ( ssPv1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T )
      | ~ ( ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R )
      | ~ ( ssPv4_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ~ ( ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ~ ( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P )
      | ~ ( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O )
      | ~ ( ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ~ ( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ~ ( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M )
      | ~ ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L )
      | ~ ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ~ ( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J )
      | ~ ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I )
      | ~ ( ssPv13_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ~ ( ssNder1_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ~ ( ssNder1_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G )
      | ~ ( ssNder1_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
      | ~ ( ssNder1_5r1r1r1r1r1 @ A @ B @ C @ D @ E )
      | ~ ( ssNder1_4r1r1r1r1 @ A @ B @ C @ D )
      | ~ ( ssNder1_3r1r1r1 @ A @ B @ C )
      | ~ ( ssNder1_2r1r1 @ A @ B )
      | ~ ( ssNder1_1r1 @ A )
      | ~ ssNder1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause86) ).

thf(137,plain,
    ! [T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S )
      | ~ ( ssPv1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T )
      | ~ ( ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R )
      | ~ ( ssPv4_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ~ ( ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ~ ( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P )
      | ~ ( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O )
      | ~ ( ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ~ ( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ~ ( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M )
      | ~ ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L )
      | ~ ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ~ ( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J )
      | ~ ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I )
      | ~ ( ssPv13_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ~ ( ssNder1_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ~ ( ssNder1_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G )
      | ~ ( ssNder1_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
      | ~ ( ssNder1_5r1r1r1r1r1 @ A @ B @ C @ D @ E )
      | ~ ( ssNder1_4r1r1r1r1 @ A @ B @ C @ D )
      | ~ ( ssNder1_3r1r1r1 @ A @ B @ C )
      | ~ ( ssNder1_2r1r1 @ A @ B )
      | ~ ( ssNder1_1r1 @ A )
      | ~ ssNder1_0 ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[86]) ).

thf(51,negated_conjecture,
    ! [O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ~ ( ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O )
      | ~ ( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M )
      | ~ ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L )
      | ~ ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ~ ( ssPv11_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J )
      | ~ ( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J )
      | ~ ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I )
      | ~ ( ssPv13_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ~ ( ssNder1_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ~ ( ssNder1_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G )
      | ~ ( ssNder1_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
      | ~ ( ssNder1_5r1r1r1r1r1 @ A @ B @ C @ D @ E )
      | ~ ( ssNder1_4r1r1r1r1 @ A @ B @ C @ D )
      | ~ ( ssNder1_3r1r1r1 @ A @ B @ C )
      | ~ ( ssNder1_2r1r1 @ A @ B )
      | ~ ( ssPv20_1r1 @ A )
      | ~ ( ssNder1_1r1 @ A )
      | ~ ssNder1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause51) ).

thf(165,plain,
    ! [O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ~ ( ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O )
      | ~ ( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M )
      | ~ ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L )
      | ~ ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ~ ( ssPv11_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J )
      | ~ ( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J )
      | ~ ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I )
      | ~ ( ssPv13_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ~ ( ssNder1_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ~ ( ssNder1_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G )
      | ~ ( ssNder1_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
      | ~ ( ssNder1_5r1r1r1r1r1 @ A @ B @ C @ D @ E )
      | ~ ( ssNder1_4r1r1r1r1 @ A @ B @ C @ D )
      | ~ ( ssNder1_3r1r1r1 @ A @ B @ C )
      | ~ ( ssNder1_2r1r1 @ A @ B )
      | ~ ( ssPv20_1r1 @ A )
      | ~ ( ssNder1_1r1 @ A )
      | ~ ssNder1_0 ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[51]) ).

thf(66,negated_conjecture,
    ! [S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R )
      | ~ ( ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ~ ( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P )
      | ~ ( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O )
      | ~ ( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ~ ( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M )
      | ~ ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L )
      | ~ ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ~ ( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J )
      | ~ ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I )
      | ~ ( ssNder1_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ~ ( ssNder1_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G )
      | ~ ( ssNder1_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
      | ~ ( ssNder1_5r1r1r1r1r1 @ A @ B @ C @ D @ E )
      | ~ ( ssNder1_4r1r1r1r1 @ A @ B @ C @ D )
      | ~ ( ssNder1_3r1r1r1 @ A @ B @ C )
      | ~ ( ssNder1_2r1r1 @ A @ B )
      | ~ ( ssNder1_1r1 @ A )
      | ~ ssNder1_0
      | ( ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause66) ).

thf(92,plain,
    ! [S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R )
      | ~ ( ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ~ ( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P )
      | ~ ( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O )
      | ~ ( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ~ ( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M )
      | ~ ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L )
      | ~ ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ~ ( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J )
      | ~ ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I )
      | ~ ( ssNder1_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ~ ( ssNder1_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G )
      | ~ ( ssNder1_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
      | ~ ( ssNder1_5r1r1r1r1r1 @ A @ B @ C @ D @ E )
      | ~ ( ssNder1_4r1r1r1r1 @ A @ B @ C @ D )
      | ~ ( ssNder1_3r1r1r1 @ A @ B @ C )
      | ~ ( ssNder1_2r1r1 @ A @ B )
      | ~ ( ssNder1_1r1 @ A )
      | ~ ssNder1_0
      | ( ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[66]) ).

thf(24,negated_conjecture,
    ! [L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ skc23 )
      | ~ ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ~ ( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J )
      | ~ ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I )
      | ~ ( ssNder1_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ~ ( ssNder1_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G )
      | ~ ( ssNder1_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
      | ~ ( ssNder1_5r1r1r1r1r1 @ A @ B @ C @ D @ E )
      | ~ ( ssNder1_4r1r1r1r1 @ A @ B @ C @ D )
      | ~ ( ssNder1_3r1r1r1 @ A @ B @ C )
      | ~ ( ssNder1_2r1r1 @ A @ B )
      | ~ ( ssNder1_1r1 @ A )
      | ~ ssNder1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause24) ).

thf(97,plain,
    ! [L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ skc23 )
      | ~ ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ~ ( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J )
      | ~ ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I )
      | ~ ( ssNder1_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ~ ( ssNder1_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G )
      | ~ ( ssNder1_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
      | ~ ( ssNder1_5r1r1r1r1r1 @ A @ B @ C @ D @ E )
      | ~ ( ssNder1_4r1r1r1r1 @ A @ B @ C @ D )
      | ~ ( ssNder1_3r1r1r1 @ A @ B @ C )
      | ~ ( ssNder1_2r1r1 @ A @ B )
      | ~ ( ssNder1_1r1 @ A )
      | ~ ssNder1_0 ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).

thf(26,negated_conjecture,
    ! [K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J )
      | ~ ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I )
      | ~ ( ssNder1_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ~ ( ssPv14_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G )
      | ~ ( ssNder1_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G )
      | ~ ( ssPv15_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
      | ~ ( ssNder1_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
      | ~ ( ssNder1_5r1r1r1r1r1 @ A @ B @ C @ D @ E )
      | ~ ( ssNder1_4r1r1r1r1 @ A @ B @ C @ D )
      | ~ ( ssPv18_3r1r1r1 @ A @ B @ C )
      | ~ ( ssNder1_3r1r1r1 @ A @ B @ C )
      | ~ ( ssNder1_2r1r1 @ A @ B )
      | ~ ( ssNder1_1r1 @ A )
      | ~ ssNder1_0
      | ( ssPv10_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause26) ).

thf(156,plain,
    ! [K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J )
      | ~ ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I )
      | ~ ( ssNder1_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ~ ( ssPv14_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G )
      | ~ ( ssNder1_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G )
      | ~ ( ssPv15_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
      | ~ ( ssNder1_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
      | ~ ( ssNder1_5r1r1r1r1r1 @ A @ B @ C @ D @ E )
      | ~ ( ssNder1_4r1r1r1r1 @ A @ B @ C @ D )
      | ~ ( ssPv18_3r1r1r1 @ A @ B @ C )
      | ~ ( ssNder1_3r1r1r1 @ A @ B @ C )
      | ~ ( ssNder1_2r1r1 @ A @ B )
      | ~ ( ssNder1_1r1 @ A )
      | ~ ssNder1_0
      | ( ssPv10_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[26]) ).

thf(47,negated_conjecture,
    ! [O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ~ ( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M )
      | ~ ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L )
      | ~ ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ~ ( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J )
      | ~ ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I )
      | ~ ( ssNder1_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ~ ( ssNder1_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G )
      | ~ ( ssNder1_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
      | ~ ( ssNder1_5r1r1r1r1r1 @ A @ B @ C @ D @ E )
      | ~ ( ssPv17_4r1r1r1r1 @ A @ B @ C @ D )
      | ~ ( ssNder1_4r1r1r1r1 @ A @ B @ C @ D )
      | ~ ( ssNder1_3r1r1r1 @ A @ B @ C )
      | ~ ( ssNder1_2r1r1 @ A @ B )
      | ~ ( ssPv20_1r1 @ A )
      | ~ ( ssNder1_1r1 @ A )
      | ~ ssNder1_0
      | ( ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ( ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause47) ).

thf(169,plain,
    ! [O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ~ ( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M )
      | ~ ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L )
      | ~ ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ~ ( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J )
      | ~ ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I )
      | ~ ( ssNder1_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ~ ( ssNder1_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G )
      | ~ ( ssNder1_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
      | ~ ( ssNder1_5r1r1r1r1r1 @ A @ B @ C @ D @ E )
      | ~ ( ssPv17_4r1r1r1r1 @ A @ B @ C @ D )
      | ~ ( ssNder1_4r1r1r1r1 @ A @ B @ C @ D )
      | ~ ( ssNder1_3r1r1r1 @ A @ B @ C )
      | ~ ( ssNder1_2r1r1 @ A @ B )
      | ~ ( ssPv20_1r1 @ A )
      | ~ ( ssNder1_1r1 @ A )
      | ~ ssNder1_0
      | ( ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ( ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[47]) ).

thf(39,negated_conjecture,
    ! [N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M )
      | ~ ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L )
      | ~ ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ~ ( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J )
      | ~ ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I )
      | ~ ( ssNder1_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ~ ( ssNder1_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G )
      | ~ ( ssNder1_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
      | ~ ( ssNder1_5r1r1r1r1r1 @ A @ B @ C @ D @ E )
      | ~ ( ssNder1_4r1r1r1r1 @ A @ B @ C @ D )
      | ~ ( ssNder1_3r1r1r1 @ A @ B @ C )
      | ~ ( ssNder1_2r1r1 @ A @ B )
      | ~ ( ssNder1_1r1 @ A )
      | ~ ssNder1_0
      | ( ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ( ssPv11_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J )
      | ( ssPv16_5r1r1r1r1r1 @ A @ B @ C @ D @ E )
      | ( ssPv20_1r1 @ A ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause39) ).

thf(141,plain,
    ! [N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M )
      | ~ ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L )
      | ~ ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ~ ( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J )
      | ~ ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I )
      | ~ ( ssNder1_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ~ ( ssNder1_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G )
      | ~ ( ssNder1_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
      | ~ ( ssNder1_5r1r1r1r1r1 @ A @ B @ C @ D @ E )
      | ~ ( ssNder1_4r1r1r1r1 @ A @ B @ C @ D )
      | ~ ( ssNder1_3r1r1r1 @ A @ B @ C )
      | ~ ( ssNder1_2r1r1 @ A @ B )
      | ~ ( ssNder1_1r1 @ A )
      | ~ ssNder1_0
      | ( ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ( ssPv11_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J )
      | ( ssPv16_5r1r1r1r1r1 @ A @ B @ C @ D @ E )
      | ( ssPv20_1r1 @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[39]) ).

thf(74,negated_conjecture,
    ! [S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R )
      | ~ ( ssPv2_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S )
      | ~ ( ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ~ ( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P )
      | ~ ( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O )
      | ~ ( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ~ ( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M )
      | ~ ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L )
      | ~ ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ~ ( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J )
      | ~ ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I )
      | ~ ( ssNder1_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ~ ( ssNder1_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G )
      | ~ ( ssPv15_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
      | ~ ( ssNder1_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
      | ~ ( ssNder1_5r1r1r1r1r1 @ A @ B @ C @ D @ E )
      | ~ ( ssNder1_4r1r1r1r1 @ A @ B @ C @ D )
      | ~ ( ssNder1_3r1r1r1 @ A @ B @ C )
      | ~ ( ssPv19_2r1r1 @ A @ B )
      | ~ ( ssNder1_2r1r1 @ A @ B )
      | ~ ( ssNder1_1r1 @ A )
      | ~ ssNder1_0
      | ( ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause74) ).

thf(109,plain,
    ! [S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R )
      | ~ ( ssPv2_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S )
      | ~ ( ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ~ ( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P )
      | ~ ( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O )
      | ~ ( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ~ ( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M )
      | ~ ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L )
      | ~ ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ~ ( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J )
      | ~ ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I )
      | ~ ( ssNder1_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ~ ( ssNder1_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G )
      | ~ ( ssPv15_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
      | ~ ( ssNder1_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
      | ~ ( ssNder1_5r1r1r1r1r1 @ A @ B @ C @ D @ E )
      | ~ ( ssNder1_4r1r1r1r1 @ A @ B @ C @ D )
      | ~ ( ssNder1_3r1r1r1 @ A @ B @ C )
      | ~ ( ssPv19_2r1r1 @ A @ B )
      | ~ ( ssNder1_2r1r1 @ A @ B )
      | ~ ( ssNder1_1r1 @ A )
      | ~ ssNder1_0
      | ( ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[74]) ).

thf(45,negated_conjecture,
    ! [P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O )
      | ~ ( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ~ ( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M )
      | ~ ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L )
      | ~ ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ~ ( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J )
      | ~ ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I )
      | ~ ( ssNder1_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ~ ( ssNder1_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G )
      | ~ ( ssNder1_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
      | ~ ( ssNder1_5r1r1r1r1r1 @ A @ B @ C @ D @ E )
      | ~ ( ssNder1_4r1r1r1r1 @ A @ B @ C @ D )
      | ~ ( ssNder1_3r1r1r1 @ A @ B @ C )
      | ~ ( ssNder1_2r1r1 @ A @ B )
      | ~ ( ssNder1_1r1 @ A )
      | ~ ssNder1_0
      | ( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause45) ).

thf(124,plain,
    ! [P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O )
      | ~ ( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ~ ( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M )
      | ~ ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L )
      | ~ ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ~ ( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J )
      | ~ ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I )
      | ~ ( ssNder1_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ~ ( ssNder1_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G )
      | ~ ( ssNder1_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
      | ~ ( ssNder1_5r1r1r1r1r1 @ A @ B @ C @ D @ E )
      | ~ ( ssNder1_4r1r1r1r1 @ A @ B @ C @ D )
      | ~ ( ssNder1_3r1r1r1 @ A @ B @ C )
      | ~ ( ssNder1_2r1r1 @ A @ B )
      | ~ ( ssNder1_1r1 @ A )
      | ~ ssNder1_0
      | ( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[45]) ).

thf(42,negated_conjecture,
    ! [N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M )
      | ~ ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L )
      | ~ ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ~ ( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J )
      | ~ ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I )
      | ~ ( ssNder1_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ~ ( ssNder1_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G )
      | ~ ( ssNder1_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
      | ~ ( ssNder1_5r1r1r1r1r1 @ A @ B @ C @ D @ E )
      | ~ ( ssNder1_4r1r1r1r1 @ A @ B @ C @ D )
      | ~ ( ssPv18_3r1r1r1 @ A @ B @ C )
      | ~ ( ssNder1_3r1r1r1 @ A @ B @ C )
      | ~ ( ssNder1_2r1r1 @ A @ B )
      | ~ ( ssNder1_1r1 @ A )
      | ~ ssNder1_0
      | ( ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M )
      | ( ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ( ssPv20_1r1 @ A ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause42) ).

thf(96,plain,
    ! [N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M )
      | ~ ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L )
      | ~ ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ~ ( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J )
      | ~ ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I )
      | ~ ( ssNder1_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ~ ( ssNder1_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G )
      | ~ ( ssNder1_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
      | ~ ( ssNder1_5r1r1r1r1r1 @ A @ B @ C @ D @ E )
      | ~ ( ssNder1_4r1r1r1r1 @ A @ B @ C @ D )
      | ~ ( ssPv18_3r1r1r1 @ A @ B @ C )
      | ~ ( ssNder1_3r1r1r1 @ A @ B @ C )
      | ~ ( ssNder1_2r1r1 @ A @ B )
      | ~ ( ssNder1_1r1 @ A )
      | ~ ssNder1_0
      | ( ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M )
      | ( ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ( ssPv20_1r1 @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[42]) ).

thf(12,negated_conjecture,
    ! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( ssNder1_5r1r1r1r1r1 @ A @ B @ C @ D @ E )
      | ~ ( ssNder1_4r1r1r1r1 @ A @ B @ C @ D )
      | ~ ( ssNder1_3r1r1r1 @ A @ B @ C )
      | ~ ( ssNder1_2r1r1 @ A @ B )
      | ~ ( ssNder1_1r1 @ A )
      | ~ ssNder1_0
      | ( ssPv14_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ skc26 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause12) ).

thf(134,plain,
    ! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( ssNder1_5r1r1r1r1r1 @ A @ B @ C @ D @ E )
      | ~ ( ssNder1_4r1r1r1r1 @ A @ B @ C @ D )
      | ~ ( ssNder1_3r1r1r1 @ A @ B @ C )
      | ~ ( ssNder1_2r1r1 @ A @ B )
      | ~ ( ssNder1_1r1 @ A )
      | ~ ssNder1_0
      | ( ssPv14_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ skc26 ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).

thf(34,negated_conjecture,
    ! [N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ skc19 )
      | ~ ( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M )
      | ~ ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L )
      | ~ ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ~ ( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J )
      | ~ ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I )
      | ~ ( ssNder1_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ~ ( ssNder1_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G )
      | ~ ( ssNder1_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
      | ~ ( ssNder1_5r1r1r1r1r1 @ A @ B @ C @ D @ E )
      | ~ ( ssNder1_4r1r1r1r1 @ A @ B @ C @ D )
      | ~ ( ssNder1_3r1r1r1 @ A @ B @ C )
      | ~ ( ssNder1_2r1r1 @ A @ B )
      | ~ ( ssNder1_1r1 @ A )
      | ~ ssNder1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause34) ).

thf(128,plain,
    ! [N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ skc19 )
      | ~ ( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M )
      | ~ ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L )
      | ~ ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ~ ( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J )
      | ~ ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I )
      | ~ ( ssNder1_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ~ ( ssNder1_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G )
      | ~ ( ssNder1_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
      | ~ ( ssNder1_5r1r1r1r1r1 @ A @ B @ C @ D @ E )
      | ~ ( ssNder1_4r1r1r1r1 @ A @ B @ C @ D )
      | ~ ( ssNder1_3r1r1r1 @ A @ B @ C )
      | ~ ( ssNder1_2r1r1 @ A @ B )
      | ~ ( ssNder1_1r1 @ A )
      | ~ ssNder1_0 ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[34]) ).

thf(78,negated_conjecture,
    ! [S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R )
      | ~ ( ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ~ ( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P )
      | ~ ( ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O )
      | ~ ( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O )
      | ~ ( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ~ ( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M )
      | ~ ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L )
      | ~ ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ~ ( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J )
      | ~ ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I )
      | ~ ( ssNder1_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ~ ( ssNder1_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G )
      | ~ ( ssNder1_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
      | ~ ( ssNder1_5r1r1r1r1r1 @ A @ B @ C @ D @ E )
      | ~ ( ssNder1_4r1r1r1r1 @ A @ B @ C @ D )
      | ~ ( ssNder1_3r1r1r1 @ A @ B @ C )
      | ~ ( ssNder1_2r1r1 @ A @ B )
      | ~ ( ssNder1_1r1 @ A )
      | ~ ssNder1_0
      | ( ssPv2_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S )
      | ( ssPv11_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J )
      | ( ssPv16_5r1r1r1r1r1 @ A @ B @ C @ D @ E ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause78) ).

thf(105,plain,
    ! [S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R )
      | ~ ( ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ~ ( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P )
      | ~ ( ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O )
      | ~ ( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O )
      | ~ ( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ~ ( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M )
      | ~ ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L )
      | ~ ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ~ ( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J )
      | ~ ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I )
      | ~ ( ssNder1_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ~ ( ssNder1_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G )
      | ~ ( ssNder1_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
      | ~ ( ssNder1_5r1r1r1r1r1 @ A @ B @ C @ D @ E )
      | ~ ( ssNder1_4r1r1r1r1 @ A @ B @ C @ D )
      | ~ ( ssNder1_3r1r1r1 @ A @ B @ C )
      | ~ ( ssNder1_2r1r1 @ A @ B )
      | ~ ( ssNder1_1r1 @ A )
      | ~ ssNder1_0
      | ( ssPv2_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S )
      | ( ssPv11_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J )
      | ( ssPv16_5r1r1r1r1r1 @ A @ B @ C @ D @ E ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[78]) ).

thf(19,negated_conjecture,
    ! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( ssNder1_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ~ ( ssNder1_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G )
      | ~ ( ssNder1_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
      | ~ ( ssNder1_5r1r1r1r1r1 @ A @ B @ C @ D @ E )
      | ~ ( ssNder1_4r1r1r1r1 @ A @ B @ C @ D )
      | ~ ( ssNder1_3r1r1r1 @ A @ B @ C )
      | ~ ( ssNder1_2r1r1 @ A @ B )
      | ~ ( ssNder1_1r1 @ A )
      | ~ ssNder1_0
      | ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause19) ).

thf(166,plain,
    ! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( ssNder1_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ~ ( ssNder1_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G )
      | ~ ( ssNder1_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
      | ~ ( ssNder1_5r1r1r1r1r1 @ A @ B @ C @ D @ E )
      | ~ ( ssNder1_4r1r1r1r1 @ A @ B @ C @ D )
      | ~ ( ssNder1_3r1r1r1 @ A @ B @ C )
      | ~ ( ssNder1_2r1r1 @ A @ B )
      | ~ ( ssNder1_1r1 @ A )
      | ~ ssNder1_0
      | ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).

thf(50,negated_conjecture,
    ! [O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ~ ( ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O )
      | ~ ( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M )
      | ~ ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L )
      | ~ ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ~ ( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J )
      | ~ ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I )
      | ~ ( ssNder1_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ~ ( ssNder1_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G )
      | ~ ( ssNder1_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
      | ~ ( ssNder1_5r1r1r1r1r1 @ A @ B @ C @ D @ E )
      | ~ ( ssNder1_4r1r1r1r1 @ A @ B @ C @ D )
      | ~ ( ssNder1_3r1r1r1 @ A @ B @ C )
      | ~ ( ssNder1_2r1r1 @ A @ B )
      | ~ ( ssNder1_1r1 @ A )
      | ~ ssNder1_0
      | ( ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L )
      | ( ssPv16_5r1r1r1r1r1 @ A @ B @ C @ D @ E )
      | ( ssPv17_4r1r1r1r1 @ A @ B @ C @ D ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause50) ).

thf(148,plain,
    ! [O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ~ ( ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O )
      | ~ ( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M )
      | ~ ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L )
      | ~ ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ~ ( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J )
      | ~ ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I )
      | ~ ( ssNder1_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ~ ( ssNder1_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G )
      | ~ ( ssNder1_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
      | ~ ( ssNder1_5r1r1r1r1r1 @ A @ B @ C @ D @ E )
      | ~ ( ssNder1_4r1r1r1r1 @ A @ B @ C @ D )
      | ~ ( ssNder1_3r1r1r1 @ A @ B @ C )
      | ~ ( ssNder1_2r1r1 @ A @ B )
      | ~ ( ssNder1_1r1 @ A )
      | ~ ssNder1_0
      | ( ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L )
      | ( ssPv16_5r1r1r1r1r1 @ A @ B @ C @ D @ E )
      | ( ssPv17_4r1r1r1r1 @ A @ B @ C @ D ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[50]) ).

thf(58,negated_conjecture,
    ! [Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P )
      | ~ ( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O )
      | ~ ( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ~ ( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M )
      | ~ ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L )
      | ~ ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ~ ( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J )
      | ~ ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I )
      | ~ ( ssNder1_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ~ ( ssNder1_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G )
      | ~ ( ssNder1_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
      | ~ ( ssNder1_5r1r1r1r1r1 @ A @ B @ C @ D @ E )
      | ~ ( ssNder1_4r1r1r1r1 @ A @ B @ C @ D )
      | ~ ( ssNder1_3r1r1r1 @ A @ B @ C )
      | ~ ( ssPv19_2r1r1 @ A @ B )
      | ~ ( ssNder1_2r1r1 @ A @ B )
      | ~ ( ssNder1_1r1 @ A )
      | ~ ssNder1_0
      | ( ssPv4_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ( ssPv14_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G )
      | ( ssPv15_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause58) ).

thf(161,plain,
    ! [Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P )
      | ~ ( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O )
      | ~ ( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ~ ( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M )
      | ~ ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L )
      | ~ ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ~ ( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J )
      | ~ ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I )
      | ~ ( ssNder1_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ~ ( ssNder1_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G )
      | ~ ( ssNder1_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
      | ~ ( ssNder1_5r1r1r1r1r1 @ A @ B @ C @ D @ E )
      | ~ ( ssNder1_4r1r1r1r1 @ A @ B @ C @ D )
      | ~ ( ssNder1_3r1r1r1 @ A @ B @ C )
      | ~ ( ssPv19_2r1r1 @ A @ B )
      | ~ ( ssNder1_2r1r1 @ A @ B )
      | ~ ( ssNder1_1r1 @ A )
      | ~ ssNder1_0
      | ( ssPv4_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ( ssPv14_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G )
      | ( ssPv15_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[58]) ).

thf(67,negated_conjecture,
    ! [R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ~ ( ssPv3_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R )
      | ~ ( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P )
      | ~ ( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O )
      | ~ ( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ~ ( ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M )
      | ~ ( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M )
      | ~ ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L )
      | ~ ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ~ ( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J )
      | ~ ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I )
      | ~ ( ssNder1_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ~ ( ssNder1_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G )
      | ~ ( ssNder1_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
      | ~ ( ssNder1_5r1r1r1r1r1 @ A @ B @ C @ D @ E )
      | ~ ( ssNder1_4r1r1r1r1 @ A @ B @ C @ D )
      | ~ ( ssNder1_3r1r1r1 @ A @ B @ C )
      | ~ ( ssNder1_2r1r1 @ A @ B )
      | ~ ( ssNder1_1r1 @ A )
      | ~ ssNder1_0
      | ( ssPv14_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G )
      | ( ssPv19_2r1r1 @ A @ B ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause67) ).

thf(149,plain,
    ! [R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ~ ( ssPv3_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R )
      | ~ ( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P )
      | ~ ( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O )
      | ~ ( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ~ ( ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M )
      | ~ ( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M )
      | ~ ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L )
      | ~ ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ~ ( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J )
      | ~ ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I )
      | ~ ( ssNder1_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ~ ( ssNder1_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G )
      | ~ ( ssNder1_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
      | ~ ( ssNder1_5r1r1r1r1r1 @ A @ B @ C @ D @ E )
      | ~ ( ssNder1_4r1r1r1r1 @ A @ B @ C @ D )
      | ~ ( ssNder1_3r1r1r1 @ A @ B @ C )
      | ~ ( ssNder1_2r1r1 @ A @ B )
      | ~ ( ssNder1_1r1 @ A )
      | ~ ssNder1_0
      | ( ssPv14_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G )
      | ( ssPv19_2r1r1 @ A @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[67]) ).

thf(35,negated_conjecture,
    ! [M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L )
      | ~ ( ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M )
      | ~ ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ~ ( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J )
      | ~ ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I )
      | ~ ( ssNder1_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ~ ( ssNder1_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G )
      | ~ ( ssNder1_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
      | ~ ( ssNder1_5r1r1r1r1r1 @ A @ B @ C @ D @ E )
      | ~ ( ssNder1_4r1r1r1r1 @ A @ B @ C @ D )
      | ~ ( ssNder1_3r1r1r1 @ A @ B @ C )
      | ~ ( ssNder1_2r1r1 @ A @ B )
      | ~ ( ssPv20_1r1 @ A )
      | ~ ( ssNder1_1r1 @ A )
      | ~ ssNder1_0
      | ( ssPv10_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ( ssPv14_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause35) ).

thf(144,plain,
    ! [M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L )
      | ~ ( ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M )
      | ~ ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ~ ( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J )
      | ~ ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I )
      | ~ ( ssNder1_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ~ ( ssNder1_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G )
      | ~ ( ssNder1_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
      | ~ ( ssNder1_5r1r1r1r1r1 @ A @ B @ C @ D @ E )
      | ~ ( ssNder1_4r1r1r1r1 @ A @ B @ C @ D )
      | ~ ( ssNder1_3r1r1r1 @ A @ B @ C )
      | ~ ( ssNder1_2r1r1 @ A @ B )
      | ~ ( ssPv20_1r1 @ A )
      | ~ ( ssNder1_1r1 @ A )
      | ~ ssNder1_0
      | ( ssPv10_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ( ssPv14_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[35]) ).

thf(8,negated_conjecture,
    ! [E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( ssNder1_4r1r1r1r1 @ A @ B @ C @ D )
      | ~ ( ssNder1_3r1r1r1 @ A @ B @ C )
      | ~ ( ssNder1_2r1r1 @ A @ B )
      | ~ ( ssNder1_1r1 @ A )
      | ~ ssNder1_0
      | ( ssNder1_5r1r1r1r1r1 @ A @ B @ C @ D @ E ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause8) ).

thf(159,plain,
    ! [E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( ssNder1_4r1r1r1r1 @ A @ B @ C @ D )
      | ~ ( ssNder1_3r1r1r1 @ A @ B @ C )
      | ~ ( ssNder1_2r1r1 @ A @ B )
      | ~ ( ssNder1_1r1 @ A )
      | ~ ssNder1_0
      | ( ssNder1_5r1r1r1r1r1 @ A @ B @ C @ D @ E ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).

thf(62,negated_conjecture,
    ! [Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P )
      | ~ ( ssPv4_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ~ ( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O )
      | ~ ( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ~ ( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M )
      | ~ ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L )
      | ~ ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ~ ( ssPv11_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J )
      | ~ ( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J )
      | ~ ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I )
      | ~ ( ssNder1_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ~ ( ssNder1_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G )
      | ~ ( ssNder1_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
      | ~ ( ssNder1_5r1r1r1r1r1 @ A @ B @ C @ D @ E )
      | ~ ( ssNder1_4r1r1r1r1 @ A @ B @ C @ D )
      | ~ ( ssNder1_3r1r1r1 @ A @ B @ C )
      | ~ ( ssNder1_2r1r1 @ A @ B )
      | ~ ( ssNder1_1r1 @ A )
      | ~ ssNder1_0
      | ( ssPv13_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ( ssPv15_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause62) ).

thf(172,plain,
    ! [Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P )
      | ~ ( ssPv4_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ~ ( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O )
      | ~ ( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ~ ( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M )
      | ~ ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L )
      | ~ ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ~ ( ssPv11_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J )
      | ~ ( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J )
      | ~ ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I )
      | ~ ( ssNder1_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ~ ( ssNder1_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G )
      | ~ ( ssNder1_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
      | ~ ( ssNder1_5r1r1r1r1r1 @ A @ B @ C @ D @ E )
      | ~ ( ssNder1_4r1r1r1r1 @ A @ B @ C @ D )
      | ~ ( ssNder1_3r1r1r1 @ A @ B @ C )
      | ~ ( ssNder1_2r1r1 @ A @ B )
      | ~ ( ssNder1_1r1 @ A )
      | ~ ssNder1_0
      | ( ssPv13_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ( ssPv15_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[62]) ).

thf(70,negated_conjecture,
    ! [R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ~ ( ssPv3_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R )
      | ~ ( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P )
      | ~ ( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O )
      | ~ ( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ~ ( ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M )
      | ~ ( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M )
      | ~ ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L )
      | ~ ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ~ ( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J )
      | ~ ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I )
      | ~ ( ssNder1_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ~ ( ssNder1_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G )
      | ~ ( ssNder1_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
      | ~ ( ssNder1_5r1r1r1r1r1 @ A @ B @ C @ D @ E )
      | ~ ( ssNder1_4r1r1r1r1 @ A @ B @ C @ D )
      | ~ ( ssNder1_3r1r1r1 @ A @ B @ C )
      | ~ ( ssPv19_2r1r1 @ A @ B )
      | ~ ( ssNder1_2r1r1 @ A @ B )
      | ~ ( ssNder1_1r1 @ A )
      | ~ ssNder1_0
      | ( ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause70) ).

thf(113,plain,
    ! [R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ~ ( ssPv3_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R )
      | ~ ( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P )
      | ~ ( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O )
      | ~ ( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ~ ( ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M )
      | ~ ( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M )
      | ~ ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L )
      | ~ ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ~ ( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J )
      | ~ ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I )
      | ~ ( ssNder1_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ~ ( ssNder1_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G )
      | ~ ( ssNder1_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
      | ~ ( ssNder1_5r1r1r1r1r1 @ A @ B @ C @ D @ E )
      | ~ ( ssNder1_4r1r1r1r1 @ A @ B @ C @ D )
      | ~ ( ssNder1_3r1r1r1 @ A @ B @ C )
      | ~ ( ssPv19_2r1r1 @ A @ B )
      | ~ ( ssNder1_2r1r1 @ A @ B )
      | ~ ( ssNder1_1r1 @ A )
      | ~ ssNder1_0
      | ( ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[70]) ).

thf(37,negated_conjecture,
    ! [O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ~ ( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M )
      | ~ ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L )
      | ~ ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ~ ( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J )
      | ~ ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I )
      | ~ ( ssNder1_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ~ ( ssNder1_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G )
      | ~ ( ssNder1_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
      | ~ ( ssNder1_5r1r1r1r1r1 @ A @ B @ C @ D @ E )
      | ~ ( ssNder1_4r1r1r1r1 @ A @ B @ C @ D )
      | ~ ( ssNder1_3r1r1r1 @ A @ B @ C )
      | ~ ( ssNder1_2r1r1 @ A @ B )
      | ~ ( ssNder1_1r1 @ A )
      | ~ ssNder1_0
      | ( ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ skc16 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause37) ).

thf(98,plain,
    ! [O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ~ ( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M )
      | ~ ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L )
      | ~ ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ~ ( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J )
      | ~ ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I )
      | ~ ( ssNder1_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ~ ( ssNder1_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G )
      | ~ ( ssNder1_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
      | ~ ( ssNder1_5r1r1r1r1r1 @ A @ B @ C @ D @ E )
      | ~ ( ssNder1_4r1r1r1r1 @ A @ B @ C @ D )
      | ~ ( ssNder1_3r1r1r1 @ A @ B @ C )
      | ~ ( ssNder1_2r1r1 @ A @ B )
      | ~ ( ssNder1_1r1 @ A )
      | ~ ssNder1_0
      | ( ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ skc16 ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[37]) ).

thf(46,negated_conjecture,
    ! [N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M )
      | ~ ( ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ~ ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L )
      | ~ ( ssPv10_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ~ ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ~ ( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J )
      | ~ ( ssPv12_9r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I )
      | ~ ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I )
      | ~ ( ssNder1_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ~ ( ssNder1_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G )
      | ~ ( ssNder1_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
      | ~ ( ssNder1_5r1r1r1r1r1 @ A @ B @ C @ D @ E )
      | ~ ( ssNder1_4r1r1r1r1 @ A @ B @ C @ D )
      | ~ ( ssNder1_3r1r1r1 @ A @ B @ C )
      | ~ ( ssNder1_2r1r1 @ A @ B )
      | ~ ( ssNder1_1r1 @ A )
      | ~ ssNder1_0
      | ( ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause46) ).

thf(103,plain,
    ! [N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M )
      | ~ ( ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ~ ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L )
      | ~ ( ssPv10_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ~ ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ~ ( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J )
      | ~ ( ssPv12_9r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I )
      | ~ ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I )
      | ~ ( ssNder1_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ~ ( ssNder1_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G )
      | ~ ( ssNder1_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
      | ~ ( ssNder1_5r1r1r1r1r1 @ A @ B @ C @ D @ E )
      | ~ ( ssNder1_4r1r1r1r1 @ A @ B @ C @ D )
      | ~ ( ssNder1_3r1r1r1 @ A @ B @ C )
      | ~ ( ssNder1_2r1r1 @ A @ B )
      | ~ ( ssNder1_1r1 @ A )
      | ~ ssNder1_0
      | ( ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[46]) ).

thf(7,negated_conjecture,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( ssPv16_5r1r1r1r1r1 @ A @ B @ C @ D @ skc31 )
      | ~ ( ssNder1_3r1r1r1 @ A @ B @ C )
      | ~ ( ssNder1_2r1r1 @ A @ B )
      | ~ ( ssNder1_1r1 @ A )
      | ~ ssNder1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause7) ).

thf(140,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( ssPv16_5r1r1r1r1r1 @ A @ B @ C @ D @ skc31 )
      | ~ ( ssNder1_3r1r1r1 @ A @ B @ C )
      | ~ ( ssNder1_2r1r1 @ A @ B )
      | ~ ( ssNder1_1r1 @ A )
      | ~ ssNder1_0 ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).

thf(77,negated_conjecture,
    ! [R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( ssPv4_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ~ ( ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ~ ( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P )
      | ~ ( ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O )
      | ~ ( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O )
      | ~ ( ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ~ ( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ~ ( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M )
      | ~ ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L )
      | ~ ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ~ ( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J )
      | ~ ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I )
      | ~ ( ssNder1_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ~ ( ssNder1_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G )
      | ~ ( ssNder1_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
      | ~ ( ssNder1_5r1r1r1r1r1 @ A @ B @ C @ D @ E )
      | ~ ( ssNder1_4r1r1r1r1 @ A @ B @ C @ D )
      | ~ ( ssNder1_3r1r1r1 @ A @ B @ C )
      | ~ ( ssNder1_2r1r1 @ A @ B )
      | ~ ( ssNder1_1r1 @ A )
      | ~ ssNder1_0
      | ( ssPv3_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause77) ).

thf(91,plain,
    ! [R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( ssPv4_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ~ ( ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ~ ( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P )
      | ~ ( ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O )
      | ~ ( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O )
      | ~ ( ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ~ ( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ~ ( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M )
      | ~ ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L )
      | ~ ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ~ ( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J )
      | ~ ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I )
      | ~ ( ssNder1_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ~ ( ssNder1_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G )
      | ~ ( ssNder1_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
      | ~ ( ssNder1_5r1r1r1r1r1 @ A @ B @ C @ D @ E )
      | ~ ( ssNder1_4r1r1r1r1 @ A @ B @ C @ D )
      | ~ ( ssNder1_3r1r1r1 @ A @ B @ C )
      | ~ ( ssNder1_2r1r1 @ A @ B )
      | ~ ( ssNder1_1r1 @ A )
      | ~ ssNder1_0
      | ( ssPv3_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[77]) ).

thf(40,negated_conjecture,
    ! [M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L )
      | ~ ( ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M )
      | ~ ( ssPv10_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ~ ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ~ ( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J )
      | ~ ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I )
      | ~ ( ssNder1_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ~ ( ssNder1_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G )
      | ~ ( ssPv15_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
      | ~ ( ssNder1_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
      | ~ ( ssNder1_5r1r1r1r1r1 @ A @ B @ C @ D @ E )
      | ~ ( ssNder1_4r1r1r1r1 @ A @ B @ C @ D )
      | ~ ( ssNder1_3r1r1r1 @ A @ B @ C )
      | ~ ( ssNder1_2r1r1 @ A @ B )
      | ~ ( ssNder1_1r1 @ A )
      | ~ ssNder1_0
      | ( ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause40) ).

thf(155,plain,
    ! [M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L )
      | ~ ( ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M )
      | ~ ( ssPv10_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ~ ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ~ ( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J )
      | ~ ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I )
      | ~ ( ssNder1_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ~ ( ssNder1_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G )
      | ~ ( ssPv15_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
      | ~ ( ssNder1_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
      | ~ ( ssNder1_5r1r1r1r1r1 @ A @ B @ C @ D @ E )
      | ~ ( ssNder1_4r1r1r1r1 @ A @ B @ C @ D )
      | ~ ( ssNder1_3r1r1r1 @ A @ B @ C )
      | ~ ( ssNder1_2r1r1 @ A @ B )
      | ~ ( ssNder1_1r1 @ A )
      | ~ ssNder1_0
      | ( ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[40]) ).

thf(1,negated_conjecture,
    ssNder1_0,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause1) ).

thf(108,plain,
    ssNder1_0,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).

thf(44,negated_conjecture,
    ! [N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M )
      | ~ ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L )
      | ~ ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ~ ( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J )
      | ~ ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I )
      | ~ ( ssNder1_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ~ ( ssNder1_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G )
      | ~ ( ssNder1_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
      | ~ ( ssNder1_5r1r1r1r1r1 @ A @ B @ C @ D @ E )
      | ~ ( ssNder1_4r1r1r1r1 @ A @ B @ C @ D )
      | ~ ( ssNder1_3r1r1r1 @ A @ B @ C )
      | ~ ( ssNder1_2r1r1 @ A @ B )
      | ~ ( ssNder1_1r1 @ A )
      | ~ ssNder1_0
      | ( ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ( ssPv10_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ( ssPv14_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G )
      | ( ssPv17_4r1r1r1r1 @ A @ B @ C @ D ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause44) ).

thf(130,plain,
    ! [N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M )
      | ~ ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L )
      | ~ ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ~ ( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J )
      | ~ ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I )
      | ~ ( ssNder1_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ~ ( ssNder1_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G )
      | ~ ( ssNder1_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
      | ~ ( ssNder1_5r1r1r1r1r1 @ A @ B @ C @ D @ E )
      | ~ ( ssNder1_4r1r1r1r1 @ A @ B @ C @ D )
      | ~ ( ssNder1_3r1r1r1 @ A @ B @ C )
      | ~ ( ssNder1_2r1r1 @ A @ B )
      | ~ ( ssNder1_1r1 @ A )
      | ~ ssNder1_0
      | ( ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ( ssPv10_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ( ssPv14_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G )
      | ( ssPv17_4r1r1r1r1 @ A @ B @ C @ D ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[44]) ).

thf(54,negated_conjecture,
    ! [P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O )
      | ~ ( ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P )
      | ~ ( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ~ ( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M )
      | ~ ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L )
      | ~ ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ~ ( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J )
      | ~ ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I )
      | ~ ( ssNder1_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ~ ( ssNder1_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G )
      | ~ ( ssPv15_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
      | ~ ( ssNder1_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
      | ~ ( ssNder1_5r1r1r1r1r1 @ A @ B @ C @ D @ E )
      | ~ ( ssNder1_4r1r1r1r1 @ A @ B @ C @ D )
      | ~ ( ssNder1_3r1r1r1 @ A @ B @ C )
      | ~ ( ssNder1_2r1r1 @ A @ B )
      | ~ ( ssNder1_1r1 @ A )
      | ~ ssNder1_0
      | ( ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L )
      | ( ssPv17_4r1r1r1r1 @ A @ B @ C @ D ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause54) ).

thf(135,plain,
    ! [P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O )
      | ~ ( ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P )
      | ~ ( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ~ ( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M )
      | ~ ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L )
      | ~ ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ~ ( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J )
      | ~ ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I )
      | ~ ( ssNder1_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ~ ( ssNder1_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G )
      | ~ ( ssPv15_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
      | ~ ( ssNder1_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
      | ~ ( ssNder1_5r1r1r1r1r1 @ A @ B @ C @ D @ E )
      | ~ ( ssNder1_4r1r1r1r1 @ A @ B @ C @ D )
      | ~ ( ssNder1_3r1r1r1 @ A @ B @ C )
      | ~ ( ssNder1_2r1r1 @ A @ B )
      | ~ ( ssNder1_1r1 @ A )
      | ~ ssNder1_0
      | ( ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L )
      | ( ssPv17_4r1r1r1r1 @ A @ B @ C @ D ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[54]) ).

thf(4,negated_conjecture,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( ssNder1_2r1r1 @ A @ B )
      | ~ ( ssNder1_1r1 @ A )
      | ~ ssNder1_0
      | ( ssNder1_3r1r1r1 @ A @ B @ C ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause4) ).

thf(167,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( ssNder1_2r1r1 @ A @ B )
      | ~ ( ssNder1_1r1 @ A )
      | ~ ssNder1_0
      | ( ssNder1_3r1r1r1 @ A @ B @ C ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).

thf(82,negated_conjecture,
    ! [T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S )
      | ~ ( ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R )
      | ~ ( ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ~ ( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P )
      | ~ ( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O )
      | ~ ( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ~ ( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M )
      | ~ ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L )
      | ~ ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ~ ( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J )
      | ~ ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I )
      | ~ ( ssPv13_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ~ ( ssNder1_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ~ ( ssNder1_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G )
      | ~ ( ssNder1_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
      | ~ ( ssNder1_5r1r1r1r1r1 @ A @ B @ C @ D @ E )
      | ~ ( ssNder1_4r1r1r1r1 @ A @ B @ C @ D )
      | ~ ( ssPv18_3r1r1r1 @ A @ B @ C )
      | ~ ( ssNder1_3r1r1r1 @ A @ B @ C )
      | ~ ( ssNder1_2r1r1 @ A @ B )
      | ~ ( ssNder1_1r1 @ A )
      | ~ ssNder1_0
      | ( ssPv1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T )
      | ( ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause82) ).

thf(162,plain,
    ! [T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S )
      | ~ ( ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R )
      | ~ ( ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ~ ( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P )
      | ~ ( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O )
      | ~ ( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ~ ( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M )
      | ~ ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L )
      | ~ ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ~ ( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J )
      | ~ ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I )
      | ~ ( ssPv13_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ~ ( ssNder1_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ~ ( ssNder1_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G )
      | ~ ( ssNder1_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
      | ~ ( ssNder1_5r1r1r1r1r1 @ A @ B @ C @ D @ E )
      | ~ ( ssNder1_4r1r1r1r1 @ A @ B @ C @ D )
      | ~ ( ssPv18_3r1r1r1 @ A @ B @ C )
      | ~ ( ssNder1_3r1r1r1 @ A @ B @ C )
      | ~ ( ssNder1_2r1r1 @ A @ B )
      | ~ ( ssNder1_1r1 @ A )
      | ~ ssNder1_0
      | ( ssPv1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T )
      | ( ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[82]) ).

thf(85,negated_conjecture,
    ! [T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S )
      | ~ ( ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R )
      | ~ ( ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ~ ( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P )
      | ~ ( ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O )
      | ~ ( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O )
      | ~ ( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ~ ( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M )
      | ~ ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L )
      | ~ ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ~ ( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J )
      | ~ ( ssPv12_9r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I )
      | ~ ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I )
      | ~ ( ssPv13_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ~ ( ssNder1_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ~ ( ssNder1_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G )
      | ~ ( ssNder1_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
      | ~ ( ssNder1_5r1r1r1r1r1 @ A @ B @ C @ D @ E )
      | ~ ( ssNder1_4r1r1r1r1 @ A @ B @ C @ D )
      | ~ ( ssNder1_3r1r1r1 @ A @ B @ C )
      | ~ ( ssNder1_2r1r1 @ A @ B )
      | ~ ( ssNder1_1r1 @ A )
      | ~ ssNder1_0
      | ( ssPv1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause85) ).

thf(112,plain,
    ! [T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S )
      | ~ ( ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R )
      | ~ ( ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ~ ( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P )
      | ~ ( ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O )
      | ~ ( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O )
      | ~ ( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ~ ( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M )
      | ~ ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L )
      | ~ ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ~ ( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J )
      | ~ ( ssPv12_9r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I )
      | ~ ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I )
      | ~ ( ssPv13_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ~ ( ssNder1_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ~ ( ssNder1_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G )
      | ~ ( ssNder1_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
      | ~ ( ssNder1_5r1r1r1r1r1 @ A @ B @ C @ D @ E )
      | ~ ( ssNder1_4r1r1r1r1 @ A @ B @ C @ D )
      | ~ ( ssNder1_3r1r1r1 @ A @ B @ C )
      | ~ ( ssNder1_2r1r1 @ A @ B )
      | ~ ( ssNder1_1r1 @ A )
      | ~ ssNder1_0
      | ( ssPv1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[85]) ).

thf(2,negated_conjecture,
    ! [A: $i] :
      ( ~ ssNder1_0
      | ( ssNder1_1r1 @ A ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause2) ).

thf(123,plain,
    ! [A: $i] :
      ( ~ ssNder1_0
      | ( ssNder1_1r1 @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).

thf(48,negated_conjecture,
    ! [O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ~ ( ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O )
      | ~ ( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M )
      | ~ ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L )
      | ~ ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ~ ( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J )
      | ~ ( ssPv12_9r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I )
      | ~ ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I )
      | ~ ( ssPv13_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ~ ( ssNder1_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ~ ( ssNder1_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G )
      | ~ ( ssNder1_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
      | ~ ( ssNder1_5r1r1r1r1r1 @ A @ B @ C @ D @ E )
      | ~ ( ssNder1_4r1r1r1r1 @ A @ B @ C @ D )
      | ~ ( ssNder1_3r1r1r1 @ A @ B @ C )
      | ~ ( ssNder1_2r1r1 @ A @ B )
      | ~ ( ssNder1_1r1 @ A )
      | ~ ssNder1_0
      | ( ssPv20_1r1 @ A ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause48) ).

thf(145,plain,
    ! [O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ~ ( ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O )
      | ~ ( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M )
      | ~ ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L )
      | ~ ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ~ ( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J )
      | ~ ( ssPv12_9r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I )
      | ~ ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I )
      | ~ ( ssPv13_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ~ ( ssNder1_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ~ ( ssNder1_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G )
      | ~ ( ssNder1_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
      | ~ ( ssNder1_5r1r1r1r1r1 @ A @ B @ C @ D @ E )
      | ~ ( ssNder1_4r1r1r1r1 @ A @ B @ C @ D )
      | ~ ( ssNder1_3r1r1r1 @ A @ B @ C )
      | ~ ( ssNder1_2r1r1 @ A @ B )
      | ~ ( ssNder1_1r1 @ A )
      | ~ ssNder1_0
      | ( ssPv20_1r1 @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[48]) ).

thf(16,negated_conjecture,
    ! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( ssPv13_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ skc25 )
      | ~ ( ssNder1_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
      | ~ ( ssNder1_5r1r1r1r1r1 @ A @ B @ C @ D @ E )
      | ~ ( ssNder1_4r1r1r1r1 @ A @ B @ C @ D )
      | ~ ( ssNder1_3r1r1r1 @ A @ B @ C )
      | ~ ( ssNder1_2r1r1 @ A @ B )
      | ~ ( ssNder1_1r1 @ A )
      | ~ ssNder1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause16) ).

thf(150,plain,
    ! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( ssPv13_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ skc25 )
      | ~ ( ssNder1_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
      | ~ ( ssNder1_5r1r1r1r1r1 @ A @ B @ C @ D @ E )
      | ~ ( ssNder1_4r1r1r1r1 @ A @ B @ C @ D )
      | ~ ( ssNder1_3r1r1r1 @ A @ B @ C )
      | ~ ( ssNder1_2r1r1 @ A @ B )
      | ~ ( ssNder1_1r1 @ A )
      | ~ ssNder1_0 ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).

thf(56,negated_conjecture,
    ! [P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O )
      | ~ ( ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P )
      | ~ ( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ~ ( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M )
      | ~ ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L )
      | ~ ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ~ ( ssPv11_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J )
      | ~ ( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J )
      | ~ ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I )
      | ~ ( ssNder1_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ~ ( ssNder1_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G )
      | ~ ( ssNder1_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
      | ~ ( ssNder1_5r1r1r1r1r1 @ A @ B @ C @ D @ E )
      | ~ ( ssNder1_4r1r1r1r1 @ A @ B @ C @ D )
      | ~ ( ssNder1_3r1r1r1 @ A @ B @ C )
      | ~ ( ssNder1_2r1r1 @ A @ B )
      | ~ ( ssNder1_1r1 @ A )
      | ~ ssNder1_0
      | ( ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O )
      | ( ssPv17_4r1r1r1r1 @ A @ B @ C @ D ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause56) ).

thf(95,plain,
    ! [P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O )
      | ~ ( ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P )
      | ~ ( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ~ ( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M )
      | ~ ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L )
      | ~ ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ~ ( ssPv11_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J )
      | ~ ( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J )
      | ~ ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I )
      | ~ ( ssNder1_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ~ ( ssNder1_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G )
      | ~ ( ssNder1_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
      | ~ ( ssNder1_5r1r1r1r1r1 @ A @ B @ C @ D @ E )
      | ~ ( ssNder1_4r1r1r1r1 @ A @ B @ C @ D )
      | ~ ( ssNder1_3r1r1r1 @ A @ B @ C )
      | ~ ( ssNder1_2r1r1 @ A @ B )
      | ~ ( ssNder1_1r1 @ A )
      | ~ ssNder1_0
      | ( ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O )
      | ( ssPv17_4r1r1r1r1 @ A @ B @ C @ D ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[56]) ).

thf(43,negated_conjecture,
    ! [N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M )
      | ~ ( ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ~ ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L )
      | ~ ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ~ ( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J )
      | ~ ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I )
      | ~ ( ssNder1_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ~ ( ssNder1_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G )
      | ~ ( ssNder1_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
      | ~ ( ssNder1_5r1r1r1r1r1 @ A @ B @ C @ D @ E )
      | ~ ( ssNder1_4r1r1r1r1 @ A @ B @ C @ D )
      | ~ ( ssNder1_3r1r1r1 @ A @ B @ C )
      | ~ ( ssNder1_2r1r1 @ A @ B )
      | ~ ( ssNder1_1r1 @ A )
      | ~ ssNder1_0
      | ( ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M )
      | ( ssPv17_4r1r1r1r1 @ A @ B @ C @ D )
      | ( ssPv19_2r1r1 @ A @ B ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause43) ).

thf(154,plain,
    ! [N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M )
      | ~ ( ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ~ ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L )
      | ~ ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ~ ( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J )
      | ~ ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I )
      | ~ ( ssNder1_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ~ ( ssNder1_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G )
      | ~ ( ssNder1_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
      | ~ ( ssNder1_5r1r1r1r1r1 @ A @ B @ C @ D @ E )
      | ~ ( ssNder1_4r1r1r1r1 @ A @ B @ C @ D )
      | ~ ( ssNder1_3r1r1r1 @ A @ B @ C )
      | ~ ( ssNder1_2r1r1 @ A @ B )
      | ~ ( ssNder1_1r1 @ A )
      | ~ ssNder1_0
      | ( ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M )
      | ( ssPv17_4r1r1r1r1 @ A @ B @ C @ D )
      | ( ssPv19_2r1r1 @ A @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[43]) ).

thf(80,negated_conjecture,
    ! [S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R )
      | ~ ( ssPv4_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ~ ( ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ~ ( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P )
      | ~ ( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O )
      | ~ ( ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ~ ( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ~ ( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M )
      | ~ ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L )
      | ~ ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ~ ( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J )
      | ~ ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I )
      | ~ ( ssNder1_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ~ ( ssNder1_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G )
      | ~ ( ssNder1_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
      | ~ ( ssNder1_5r1r1r1r1r1 @ A @ B @ C @ D @ E )
      | ~ ( ssNder1_4r1r1r1r1 @ A @ B @ C @ D )
      | ~ ( ssNder1_3r1r1r1 @ A @ B @ C )
      | ~ ( ssNder1_2r1r1 @ A @ B )
      | ~ ( ssNder1_1r1 @ A )
      | ~ ssNder1_0
      | ( ssPv2_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S )
      | ( ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause80) ).

thf(143,plain,
    ! [S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R )
      | ~ ( ssPv4_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ~ ( ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ~ ( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P )
      | ~ ( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O )
      | ~ ( ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ~ ( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ~ ( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M )
      | ~ ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L )
      | ~ ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ~ ( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J )
      | ~ ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I )
      | ~ ( ssNder1_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ~ ( ssNder1_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G )
      | ~ ( ssNder1_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
      | ~ ( ssNder1_5r1r1r1r1r1 @ A @ B @ C @ D @ E )
      | ~ ( ssNder1_4r1r1r1r1 @ A @ B @ C @ D )
      | ~ ( ssNder1_3r1r1r1 @ A @ B @ C )
      | ~ ( ssNder1_2r1r1 @ A @ B )
      | ~ ( ssNder1_1r1 @ A )
      | ~ ssNder1_0
      | ( ssPv2_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S )
      | ( ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[80]) ).

thf(25,negated_conjecture,
    ! [K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J )
      | ~ ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I )
      | ~ ( ssNder1_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ~ ( ssNder1_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G )
      | ~ ( ssNder1_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
      | ~ ( ssNder1_5r1r1r1r1r1 @ A @ B @ C @ D @ E )
      | ~ ( ssNder1_4r1r1r1r1 @ A @ B @ C @ D )
      | ~ ( ssNder1_3r1r1r1 @ A @ B @ C )
      | ~ ( ssNder1_2r1r1 @ A @ B )
      | ~ ( ssPv20_1r1 @ A )
      | ~ ( ssNder1_1r1 @ A )
      | ~ ssNder1_0
      | ( ssPv10_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ( ssPv13_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ( ssPv15_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause25) ).

thf(99,plain,
    ! [K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J )
      | ~ ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I )
      | ~ ( ssNder1_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ~ ( ssNder1_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G )
      | ~ ( ssNder1_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
      | ~ ( ssNder1_5r1r1r1r1r1 @ A @ B @ C @ D @ E )
      | ~ ( ssNder1_4r1r1r1r1 @ A @ B @ C @ D )
      | ~ ( ssNder1_3r1r1r1 @ A @ B @ C )
      | ~ ( ssNder1_2r1r1 @ A @ B )
      | ~ ( ssPv20_1r1 @ A )
      | ~ ( ssNder1_1r1 @ A )
      | ~ ssNder1_0
      | ( ssPv10_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ( ssPv13_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ( ssPv15_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).

thf(69,negated_conjecture,
    ! [R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ~ ( ssPv3_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R )
      | ~ ( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P )
      | ~ ( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O )
      | ~ ( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ~ ( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M )
      | ~ ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L )
      | ~ ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ~ ( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J )
      | ~ ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I )
      | ~ ( ssNder1_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ~ ( ssNder1_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G )
      | ~ ( ssNder1_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
      | ~ ( ssNder1_5r1r1r1r1r1 @ A @ B @ C @ D @ E )
      | ~ ( ssNder1_4r1r1r1r1 @ A @ B @ C @ D )
      | ~ ( ssNder1_3r1r1r1 @ A @ B @ C )
      | ~ ( ssNder1_2r1r1 @ A @ B )
      | ~ ( ssNder1_1r1 @ A )
      | ~ ssNder1_0
      | ( ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ( ssPv12_9r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I )
      | ( ssPv15_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause69) ).

thf(87,plain,
    ! [R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ~ ( ssPv3_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R )
      | ~ ( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P )
      | ~ ( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O )
      | ~ ( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ~ ( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M )
      | ~ ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L )
      | ~ ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ~ ( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J )
      | ~ ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I )
      | ~ ( ssNder1_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ~ ( ssNder1_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G )
      | ~ ( ssNder1_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
      | ~ ( ssNder1_5r1r1r1r1r1 @ A @ B @ C @ D @ E )
      | ~ ( ssNder1_4r1r1r1r1 @ A @ B @ C @ D )
      | ~ ( ssNder1_3r1r1r1 @ A @ B @ C )
      | ~ ( ssNder1_2r1r1 @ A @ B )
      | ~ ( ssNder1_1r1 @ A )
      | ~ ssNder1_0
      | ( ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ( ssPv12_9r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I )
      | ( ssPv15_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[69]) ).

thf(57,negated_conjecture,
    ! [P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O )
      | ~ ( ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P )
      | ~ ( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ~ ( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M )
      | ~ ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L )
      | ~ ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ~ ( ssPv11_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J )
      | ~ ( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J )
      | ~ ( ssPv12_9r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I )
      | ~ ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I )
      | ~ ( ssNder1_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ~ ( ssNder1_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G )
      | ~ ( ssNder1_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
      | ~ ( ssNder1_5r1r1r1r1r1 @ A @ B @ C @ D @ E )
      | ~ ( ssNder1_4r1r1r1r1 @ A @ B @ C @ D )
      | ~ ( ssNder1_3r1r1r1 @ A @ B @ C )
      | ~ ( ssNder1_2r1r1 @ A @ B )
      | ~ ( ssNder1_1r1 @ A )
      | ~ ssNder1_0
      | ( ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause57) ).

thf(104,plain,
    ! [P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O )
      | ~ ( ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P )
      | ~ ( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ~ ( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M )
      | ~ ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L )
      | ~ ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ~ ( ssPv11_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J )
      | ~ ( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J )
      | ~ ( ssPv12_9r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I )
      | ~ ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I )
      | ~ ( ssNder1_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ~ ( ssNder1_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G )
      | ~ ( ssNder1_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
      | ~ ( ssNder1_5r1r1r1r1r1 @ A @ B @ C @ D @ E )
      | ~ ( ssNder1_4r1r1r1r1 @ A @ B @ C @ D )
      | ~ ( ssNder1_3r1r1r1 @ A @ B @ C )
      | ~ ( ssNder1_2r1r1 @ A @ B )
      | ~ ( ssNder1_1r1 @ A )
      | ~ ssNder1_0
      | ( ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[57]) ).

thf(23,negated_conjecture,
    ! [L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ~ ( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J )
      | ~ ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I )
      | ~ ( ssNder1_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ~ ( ssNder1_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G )
      | ~ ( ssNder1_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
      | ~ ( ssNder1_5r1r1r1r1r1 @ A @ B @ C @ D @ E )
      | ~ ( ssNder1_4r1r1r1r1 @ A @ B @ C @ D )
      | ~ ( ssNder1_3r1r1r1 @ A @ B @ C )
      | ~ ( ssNder1_2r1r1 @ A @ B )
      | ~ ( ssNder1_1r1 @ A )
      | ~ ssNder1_0
      | ( ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ skc22 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause23) ).

thf(158,plain,
    ! [L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ~ ( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J )
      | ~ ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I )
      | ~ ( ssNder1_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ~ ( ssNder1_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G )
      | ~ ( ssNder1_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
      | ~ ( ssNder1_5r1r1r1r1r1 @ A @ B @ C @ D @ E )
      | ~ ( ssNder1_4r1r1r1r1 @ A @ B @ C @ D )
      | ~ ( ssNder1_3r1r1r1 @ A @ B @ C )
      | ~ ( ssNder1_2r1r1 @ A @ B )
      | ~ ( ssNder1_1r1 @ A )
      | ~ ssNder1_0
      | ( ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ skc22 ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).

thf(21,negated_conjecture,
    ! [K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J )
      | ~ ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I )
      | ~ ( ssNder1_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ~ ( ssNder1_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G )
      | ~ ( ssNder1_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
      | ~ ( ssNder1_5r1r1r1r1r1 @ A @ B @ C @ D @ E )
      | ~ ( ssNder1_4r1r1r1r1 @ A @ B @ C @ D )
      | ~ ( ssNder1_3r1r1r1 @ A @ B @ C )
      | ~ ( ssNder1_2r1r1 @ A @ B )
      | ~ ( ssNder1_1r1 @ A )
      | ~ ssNder1_0
      | ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause21) ).

thf(114,plain,
    ! [K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J )
      | ~ ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I )
      | ~ ( ssNder1_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ~ ( ssNder1_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G )
      | ~ ( ssNder1_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
      | ~ ( ssNder1_5r1r1r1r1r1 @ A @ B @ C @ D @ E )
      | ~ ( ssNder1_4r1r1r1r1 @ A @ B @ C @ D )
      | ~ ( ssNder1_3r1r1r1 @ A @ B @ C )
      | ~ ( ssNder1_2r1r1 @ A @ B )
      | ~ ( ssNder1_1r1 @ A )
      | ~ ssNder1_0
      | ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).

thf(68,negated_conjecture,
    ! [R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ~ ( ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P )
      | ~ ( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P )
      | ~ ( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O )
      | ~ ( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ~ ( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M )
      | ~ ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L )
      | ~ ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ~ ( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J )
      | ~ ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I )
      | ~ ( ssNder1_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ~ ( ssNder1_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G )
      | ~ ( ssPv15_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
      | ~ ( ssNder1_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
      | ~ ( ssNder1_5r1r1r1r1r1 @ A @ B @ C @ D @ E )
      | ~ ( ssNder1_4r1r1r1r1 @ A @ B @ C @ D )
      | ~ ( ssNder1_3r1r1r1 @ A @ B @ C )
      | ~ ( ssNder1_2r1r1 @ A @ B )
      | ~ ( ssNder1_1r1 @ A )
      | ~ ssNder1_0
      | ( ssPv3_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R )
      | ( ssPv20_1r1 @ A ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause68) ).

thf(171,plain,
    ! [R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ~ ( ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P )
      | ~ ( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P )
      | ~ ( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O )
      | ~ ( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ~ ( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M )
      | ~ ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L )
      | ~ ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ~ ( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J )
      | ~ ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I )
      | ~ ( ssNder1_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ~ ( ssNder1_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G )
      | ~ ( ssPv15_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
      | ~ ( ssNder1_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
      | ~ ( ssNder1_5r1r1r1r1r1 @ A @ B @ C @ D @ E )
      | ~ ( ssNder1_4r1r1r1r1 @ A @ B @ C @ D )
      | ~ ( ssNder1_3r1r1r1 @ A @ B @ C )
      | ~ ( ssNder1_2r1r1 @ A @ B )
      | ~ ( ssNder1_1r1 @ A )
      | ~ ssNder1_0
      | ( ssPv3_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R )
      | ( ssPv20_1r1 @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[68]) ).

thf(76,negated_conjecture,
    ! [S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R )
      | ~ ( ssPv2_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S )
      | ~ ( ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ~ ( ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P )
      | ~ ( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P )
      | ~ ( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O )
      | ~ ( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ~ ( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M )
      | ~ ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L )
      | ~ ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ~ ( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J )
      | ~ ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I )
      | ~ ( ssNder1_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ~ ( ssPv14_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G )
      | ~ ( ssNder1_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G )
      | ~ ( ssNder1_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
      | ~ ( ssNder1_5r1r1r1r1r1 @ A @ B @ C @ D @ E )
      | ~ ( ssNder1_4r1r1r1r1 @ A @ B @ C @ D )
      | ~ ( ssNder1_3r1r1r1 @ A @ B @ C )
      | ~ ( ssNder1_2r1r1 @ A @ B )
      | ~ ( ssNder1_1r1 @ A )
      | ~ ssNder1_0
      | ( ssPv20_1r1 @ A ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause76) ).

thf(139,plain,
    ! [S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R )
      | ~ ( ssPv2_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S )
      | ~ ( ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ~ ( ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P )
      | ~ ( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P )
      | ~ ( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O )
      | ~ ( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ~ ( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M )
      | ~ ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L )
      | ~ ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ~ ( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J )
      | ~ ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I )
      | ~ ( ssNder1_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ~ ( ssPv14_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G )
      | ~ ( ssNder1_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G )
      | ~ ( ssNder1_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
      | ~ ( ssNder1_5r1r1r1r1r1 @ A @ B @ C @ D @ E )
      | ~ ( ssNder1_4r1r1r1r1 @ A @ B @ C @ D )
      | ~ ( ssNder1_3r1r1r1 @ A @ B @ C )
      | ~ ( ssNder1_2r1r1 @ A @ B )
      | ~ ( ssNder1_1r1 @ A )
      | ~ ssNder1_0
      | ( ssPv20_1r1 @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[76]) ).

thf(31,negated_conjecture,
    ! [M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L )
      | ~ ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ~ ( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J )
      | ~ ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I )
      | ~ ( ssNder1_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ~ ( ssNder1_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G )
      | ~ ( ssNder1_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
      | ~ ( ssNder1_5r1r1r1r1r1 @ A @ B @ C @ D @ E )
      | ~ ( ssNder1_4r1r1r1r1 @ A @ B @ C @ D )
      | ~ ( ssNder1_3r1r1r1 @ A @ B @ C )
      | ~ ( ssNder1_2r1r1 @ A @ B )
      | ~ ( ssNder1_1r1 @ A )
      | ~ ssNder1_0
      | ( ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M )
      | ( ssPv13_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ( ssPv18_3r1r1r1 @ A @ B @ C )
      | ( ssPv20_1r1 @ A ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause31) ).

thf(151,plain,
    ! [M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L )
      | ~ ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ~ ( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J )
      | ~ ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I )
      | ~ ( ssNder1_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ~ ( ssNder1_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G )
      | ~ ( ssNder1_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
      | ~ ( ssNder1_5r1r1r1r1r1 @ A @ B @ C @ D @ E )
      | ~ ( ssNder1_4r1r1r1r1 @ A @ B @ C @ D )
      | ~ ( ssNder1_3r1r1r1 @ A @ B @ C )
      | ~ ( ssNder1_2r1r1 @ A @ B )
      | ~ ( ssNder1_1r1 @ A )
      | ~ ssNder1_0
      | ( ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M )
      | ( ssPv13_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ( ssPv18_3r1r1r1 @ A @ B @ C )
      | ( ssPv20_1r1 @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[31]) ).

thf(79,negated_conjecture,
    ! [S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R )
      | ~ ( ssPv2_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S )
      | ~ ( ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ~ ( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P )
      | ~ ( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O )
      | ~ ( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ~ ( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M )
      | ~ ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L )
      | ~ ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ~ ( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J )
      | ~ ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I )
      | ~ ( ssNder1_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ~ ( ssNder1_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G )
      | ~ ( ssNder1_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
      | ~ ( ssNder1_5r1r1r1r1r1 @ A @ B @ C @ D @ E )
      | ~ ( ssNder1_4r1r1r1r1 @ A @ B @ C @ D )
      | ~ ( ssNder1_3r1r1r1 @ A @ B @ C )
      | ~ ( ssNder1_2r1r1 @ A @ B )
      | ~ ( ssNder1_1r1 @ A )
      | ~ ssNder1_0
      | ( ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ( ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L )
      | ( ssPv15_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause79) ).

thf(168,plain,
    ! [S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R )
      | ~ ( ssPv2_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S )
      | ~ ( ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ~ ( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P )
      | ~ ( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O )
      | ~ ( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ~ ( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M )
      | ~ ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L )
      | ~ ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ~ ( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J )
      | ~ ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I )
      | ~ ( ssNder1_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ~ ( ssNder1_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G )
      | ~ ( ssNder1_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
      | ~ ( ssNder1_5r1r1r1r1r1 @ A @ B @ C @ D @ E )
      | ~ ( ssNder1_4r1r1r1r1 @ A @ B @ C @ D )
      | ~ ( ssNder1_3r1r1r1 @ A @ B @ C )
      | ~ ( ssNder1_2r1r1 @ A @ B )
      | ~ ( ssNder1_1r1 @ A )
      | ~ ssNder1_0
      | ( ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ( ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L )
      | ( ssPv15_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[79]) ).

thf(63,negated_conjecture,
    ! [Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P )
      | ~ ( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P )
      | ~ ( ssPv4_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ~ ( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O )
      | ~ ( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ~ ( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M )
      | ~ ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L )
      | ~ ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ~ ( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J )
      | ~ ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I )
      | ~ ( ssNder1_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ~ ( ssNder1_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G )
      | ~ ( ssNder1_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
      | ~ ( ssNder1_5r1r1r1r1r1 @ A @ B @ C @ D @ E )
      | ~ ( ssNder1_4r1r1r1r1 @ A @ B @ C @ D )
      | ~ ( ssNder1_3r1r1r1 @ A @ B @ C )
      | ~ ( ssPv19_2r1r1 @ A @ B )
      | ~ ( ssNder1_2r1r1 @ A @ B )
      | ~ ( ssNder1_1r1 @ A )
      | ~ ssNder1_0
      | ( ssPv15_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause63) ).

thf(146,plain,
    ! [Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P )
      | ~ ( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P )
      | ~ ( ssPv4_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ~ ( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O )
      | ~ ( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ~ ( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M )
      | ~ ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L )
      | ~ ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ~ ( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J )
      | ~ ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I )
      | ~ ( ssNder1_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ~ ( ssNder1_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G )
      | ~ ( ssNder1_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
      | ~ ( ssNder1_5r1r1r1r1r1 @ A @ B @ C @ D @ E )
      | ~ ( ssNder1_4r1r1r1r1 @ A @ B @ C @ D )
      | ~ ( ssNder1_3r1r1r1 @ A @ B @ C )
      | ~ ( ssPv19_2r1r1 @ A @ B )
      | ~ ( ssNder1_2r1r1 @ A @ B )
      | ~ ( ssNder1_1r1 @ A )
      | ~ ssNder1_0
      | ( ssPv15_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[63]) ).

thf(61,negated_conjecture,
    ! [P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O )
      | ~ ( ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ~ ( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ~ ( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M )
      | ~ ( ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L )
      | ~ ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L )
      | ~ ( ssPv10_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ~ ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ~ ( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J )
      | ~ ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I )
      | ~ ( ssNder1_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ~ ( ssNder1_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G )
      | ~ ( ssNder1_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
      | ~ ( ssNder1_5r1r1r1r1r1 @ A @ B @ C @ D @ E )
      | ~ ( ssNder1_4r1r1r1r1 @ A @ B @ C @ D )
      | ~ ( ssNder1_3r1r1r1 @ A @ B @ C )
      | ~ ( ssNder1_2r1r1 @ A @ B )
      | ~ ( ssNder1_1r1 @ A )
      | ~ ssNder1_0
      | ( ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause61) ).

thf(107,plain,
    ! [P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O )
      | ~ ( ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ~ ( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ~ ( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M )
      | ~ ( ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L )
      | ~ ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L )
      | ~ ( ssPv10_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ~ ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ~ ( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J )
      | ~ ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I )
      | ~ ( ssNder1_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ~ ( ssNder1_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G )
      | ~ ( ssNder1_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
      | ~ ( ssNder1_5r1r1r1r1r1 @ A @ B @ C @ D @ E )
      | ~ ( ssNder1_4r1r1r1r1 @ A @ B @ C @ D )
      | ~ ( ssNder1_3r1r1r1 @ A @ B @ C )
      | ~ ( ssNder1_2r1r1 @ A @ B )
      | ~ ( ssNder1_1r1 @ A )
      | ~ ssNder1_0
      | ( ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[61]) ).

thf(10,negated_conjecture,
    ! [E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( ssPv15_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ skc29 )
      | ~ ( ssNder1_4r1r1r1r1 @ A @ B @ C @ D )
      | ~ ( ssNder1_3r1r1r1 @ A @ B @ C )
      | ~ ( ssNder1_2r1r1 @ A @ B )
      | ~ ( ssNder1_1r1 @ A )
      | ~ ssNder1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause10) ).

thf(94,plain,
    ! [E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( ssPv15_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ skc29 )
      | ~ ( ssNder1_4r1r1r1r1 @ A @ B @ C @ D )
      | ~ ( ssNder1_3r1r1r1 @ A @ B @ C )
      | ~ ( ssNder1_2r1r1 @ A @ B )
      | ~ ( ssNder1_1r1 @ A )
      | ~ ssNder1_0 ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).

thf(17,negated_conjecture,
    ! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( ssNder1_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G )
      | ~ ( ssNder1_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
      | ~ ( ssNder1_5r1r1r1r1r1 @ A @ B @ C @ D @ E )
      | ~ ( ssNder1_4r1r1r1r1 @ A @ B @ C @ D )
      | ~ ( ssNder1_3r1r1r1 @ A @ B @ C )
      | ~ ( ssNder1_2r1r1 @ A @ B )
      | ~ ( ssNder1_1r1 @ A )
      | ~ ssNder1_0
      | ( ssNder1_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause17) ).

thf(126,plain,
    ! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( ssNder1_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G )
      | ~ ( ssNder1_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
      | ~ ( ssNder1_5r1r1r1r1r1 @ A @ B @ C @ D @ E )
      | ~ ( ssNder1_4r1r1r1r1 @ A @ B @ C @ D )
      | ~ ( ssNder1_3r1r1r1 @ A @ B @ C )
      | ~ ( ssNder1_2r1r1 @ A @ B )
      | ~ ( ssNder1_1r1 @ A )
      | ~ ssNder1_0
      | ( ssNder1_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).

thf(49,negated_conjecture,
    ! [O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ~ ( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M )
      | ~ ( ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L )
      | ~ ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L )
      | ~ ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ~ ( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J )
      | ~ ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I )
      | ~ ( ssNder1_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ~ ( ssNder1_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G )
      | ~ ( ssNder1_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
      | ~ ( ssNder1_5r1r1r1r1r1 @ A @ B @ C @ D @ E )
      | ~ ( ssNder1_4r1r1r1r1 @ A @ B @ C @ D )
      | ~ ( ssNder1_3r1r1r1 @ A @ B @ C )
      | ~ ( ssNder1_2r1r1 @ A @ B )
      | ~ ( ssPv20_1r1 @ A )
      | ~ ( ssNder1_1r1 @ A )
      | ~ ssNder1_0
      | ( ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O )
      | ( ssPv15_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause49) ).

thf(136,plain,
    ! [O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ~ ( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M )
      | ~ ( ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L )
      | ~ ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L )
      | ~ ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ~ ( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J )
      | ~ ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I )
      | ~ ( ssNder1_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ~ ( ssNder1_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G )
      | ~ ( ssNder1_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
      | ~ ( ssNder1_5r1r1r1r1r1 @ A @ B @ C @ D @ E )
      | ~ ( ssNder1_4r1r1r1r1 @ A @ B @ C @ D )
      | ~ ( ssNder1_3r1r1r1 @ A @ B @ C )
      | ~ ( ssNder1_2r1r1 @ A @ B )
      | ~ ( ssPv20_1r1 @ A )
      | ~ ( ssNder1_1r1 @ A )
      | ~ ssNder1_0
      | ( ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O )
      | ( ssPv15_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[49]) ).

thf(59,negated_conjecture,
    ! [R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ~ ( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P )
      | ~ ( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O )
      | ~ ( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ~ ( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M )
      | ~ ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L )
      | ~ ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ~ ( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J )
      | ~ ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I )
      | ~ ( ssNder1_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ~ ( ssNder1_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G )
      | ~ ( ssNder1_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
      | ~ ( ssNder1_5r1r1r1r1r1 @ A @ B @ C @ D @ E )
      | ~ ( ssNder1_4r1r1r1r1 @ A @ B @ C @ D )
      | ~ ( ssNder1_3r1r1r1 @ A @ B @ C )
      | ~ ( ssNder1_2r1r1 @ A @ B )
      | ~ ( ssNder1_1r1 @ A )
      | ~ ssNder1_0
      | ( ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause59) ).

thf(131,plain,
    ! [R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ~ ( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P )
      | ~ ( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O )
      | ~ ( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ~ ( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M )
      | ~ ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L )
      | ~ ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ~ ( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J )
      | ~ ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I )
      | ~ ( ssNder1_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ~ ( ssNder1_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G )
      | ~ ( ssNder1_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
      | ~ ( ssNder1_5r1r1r1r1r1 @ A @ B @ C @ D @ E )
      | ~ ( ssNder1_4r1r1r1r1 @ A @ B @ C @ D )
      | ~ ( ssNder1_3r1r1r1 @ A @ B @ C )
      | ~ ( ssNder1_2r1r1 @ A @ B )
      | ~ ( ssNder1_1r1 @ A )
      | ~ ssNder1_0
      | ( ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[59]) ).

thf(36,negated_conjecture,
    ! [O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ~ ( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M )
      | ~ ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L )
      | ~ ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ~ ( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J )
      | ~ ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I )
      | ~ ( ssNder1_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ~ ( ssNder1_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G )
      | ~ ( ssNder1_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
      | ~ ( ssNder1_5r1r1r1r1r1 @ A @ B @ C @ D @ E )
      | ~ ( ssNder1_4r1r1r1r1 @ A @ B @ C @ D )
      | ~ ( ssNder1_3r1r1r1 @ A @ B @ C )
      | ~ ( ssNder1_2r1r1 @ A @ B )
      | ~ ( ssNder1_1r1 @ A )
      | ~ ssNder1_0
      | ( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause36) ).

thf(163,plain,
    ! [O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ~ ( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M )
      | ~ ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L )
      | ~ ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ~ ( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J )
      | ~ ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I )
      | ~ ( ssNder1_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ~ ( ssNder1_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G )
      | ~ ( ssNder1_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
      | ~ ( ssNder1_5r1r1r1r1r1 @ A @ B @ C @ D @ E )
      | ~ ( ssNder1_4r1r1r1r1 @ A @ B @ C @ D )
      | ~ ( ssNder1_3r1r1r1 @ A @ B @ C )
      | ~ ( ssNder1_2r1r1 @ A @ B )
      | ~ ( ssNder1_1r1 @ A )
      | ~ ssNder1_0
      | ( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[36]) ).

thf(73,negated_conjecture,
    ! [S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R )
      | ~ ( ssPv2_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S )
      | ~ ( ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ~ ( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P )
      | ~ ( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O )
      | ~ ( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ~ ( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M )
      | ~ ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L )
      | ~ ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ~ ( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J )
      | ~ ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I )
      | ~ ( ssNder1_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ~ ( ssPv14_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G )
      | ~ ( ssNder1_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G )
      | ~ ( ssNder1_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
      | ~ ( ssNder1_5r1r1r1r1r1 @ A @ B @ C @ D @ E )
      | ~ ( ssPv17_4r1r1r1r1 @ A @ B @ C @ D )
      | ~ ( ssNder1_4r1r1r1r1 @ A @ B @ C @ D )
      | ~ ( ssNder1_3r1r1r1 @ A @ B @ C )
      | ~ ( ssNder1_2r1r1 @ A @ B )
      | ~ ( ssNder1_1r1 @ A )
      | ~ ssNder1_0
      | ( ssPv16_5r1r1r1r1r1 @ A @ B @ C @ D @ E ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause73) ).

thf(122,plain,
    ! [S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R )
      | ~ ( ssPv2_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S )
      | ~ ( ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ~ ( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P )
      | ~ ( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O )
      | ~ ( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ~ ( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M )
      | ~ ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L )
      | ~ ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ~ ( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J )
      | ~ ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I )
      | ~ ( ssNder1_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ~ ( ssPv14_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G )
      | ~ ( ssNder1_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G )
      | ~ ( ssNder1_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
      | ~ ( ssNder1_5r1r1r1r1r1 @ A @ B @ C @ D @ E )
      | ~ ( ssPv17_4r1r1r1r1 @ A @ B @ C @ D )
      | ~ ( ssNder1_4r1r1r1r1 @ A @ B @ C @ D )
      | ~ ( ssNder1_3r1r1r1 @ A @ B @ C )
      | ~ ( ssNder1_2r1r1 @ A @ B )
      | ~ ( ssNder1_1r1 @ A )
      | ~ ssNder1_0
      | ( ssPv16_5r1r1r1r1r1 @ A @ B @ C @ D @ E ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[73]) ).

thf(52,negated_conjecture,
    ! [Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P )
      | ~ ( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O )
      | ~ ( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ~ ( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M )
      | ~ ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L )
      | ~ ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ~ ( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J )
      | ~ ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I )
      | ~ ( ssNder1_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ~ ( ssNder1_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G )
      | ~ ( ssNder1_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
      | ~ ( ssNder1_5r1r1r1r1r1 @ A @ B @ C @ D @ E )
      | ~ ( ssNder1_4r1r1r1r1 @ A @ B @ C @ D )
      | ~ ( ssNder1_3r1r1r1 @ A @ B @ C )
      | ~ ( ssNder1_2r1r1 @ A @ B )
      | ~ ( ssNder1_1r1 @ A )
      | ~ ssNder1_0
      | ( ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause52) ).

thf(100,plain,
    ! [Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P )
      | ~ ( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O )
      | ~ ( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ~ ( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M )
      | ~ ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L )
      | ~ ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ~ ( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J )
      | ~ ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I )
      | ~ ( ssNder1_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ~ ( ssNder1_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G )
      | ~ ( ssNder1_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
      | ~ ( ssNder1_5r1r1r1r1r1 @ A @ B @ C @ D @ E )
      | ~ ( ssNder1_4r1r1r1r1 @ A @ B @ C @ D )
      | ~ ( ssNder1_3r1r1r1 @ A @ B @ C )
      | ~ ( ssNder1_2r1r1 @ A @ B )
      | ~ ( ssNder1_1r1 @ A )
      | ~ ssNder1_0
      | ( ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[52]) ).

thf(65,negated_conjecture,
    ! [R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ~ ( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P )
      | ~ ( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O )
      | ~ ( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ~ ( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M )
      | ~ ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L )
      | ~ ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ~ ( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J )
      | ~ ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I )
      | ~ ( ssNder1_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ~ ( ssNder1_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G )
      | ~ ( ssNder1_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
      | ~ ( ssPv16_5r1r1r1r1r1 @ A @ B @ C @ D @ E )
      | ~ ( ssNder1_5r1r1r1r1r1 @ A @ B @ C @ D @ E )
      | ~ ( ssNder1_4r1r1r1r1 @ A @ B @ C @ D )
      | ~ ( ssNder1_3r1r1r1 @ A @ B @ C )
      | ~ ( ssNder1_2r1r1 @ A @ B )
      | ~ ( ssNder1_1r1 @ A )
      | ~ ssNder1_0
      | ( ssPv3_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R )
      | ( ssPv15_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
      | ( ssPv18_3r1r1r1 @ A @ B @ C ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause65) ).

thf(90,plain,
    ! [R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ~ ( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P )
      | ~ ( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O )
      | ~ ( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ~ ( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M )
      | ~ ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L )
      | ~ ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ~ ( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J )
      | ~ ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I )
      | ~ ( ssNder1_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ~ ( ssNder1_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G )
      | ~ ( ssNder1_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
      | ~ ( ssPv16_5r1r1r1r1r1 @ A @ B @ C @ D @ E )
      | ~ ( ssNder1_5r1r1r1r1r1 @ A @ B @ C @ D @ E )
      | ~ ( ssNder1_4r1r1r1r1 @ A @ B @ C @ D )
      | ~ ( ssNder1_3r1r1r1 @ A @ B @ C )
      | ~ ( ssNder1_2r1r1 @ A @ B )
      | ~ ( ssNder1_1r1 @ A )
      | ~ ssNder1_0
      | ( ssPv3_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R )
      | ( ssPv15_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
      | ( ssPv18_3r1r1r1 @ A @ B @ C ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[65]) ).

thf(60,negated_conjecture,
    ! [P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O )
      | ~ ( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ~ ( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M )
      | ~ ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L )
      | ~ ( ssPv10_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ~ ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ~ ( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J )
      | ~ ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I )
      | ~ ( ssNder1_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ~ ( ssNder1_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G )
      | ~ ( ssNder1_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
      | ~ ( ssNder1_5r1r1r1r1r1 @ A @ B @ C @ D @ E )
      | ~ ( ssNder1_4r1r1r1r1 @ A @ B @ C @ D )
      | ~ ( ssNder1_3r1r1r1 @ A @ B @ C )
      | ~ ( ssNder1_2r1r1 @ A @ B )
      | ~ ( ssNder1_1r1 @ A )
      | ~ ssNder1_0
      | ( ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P )
      | ( ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M )
      | ( ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause60) ).

thf(111,plain,
    ! [P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O )
      | ~ ( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ~ ( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M )
      | ~ ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L )
      | ~ ( ssPv10_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ~ ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ~ ( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J )
      | ~ ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I )
      | ~ ( ssNder1_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ~ ( ssNder1_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G )
      | ~ ( ssNder1_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
      | ~ ( ssNder1_5r1r1r1r1r1 @ A @ B @ C @ D @ E )
      | ~ ( ssNder1_4r1r1r1r1 @ A @ B @ C @ D )
      | ~ ( ssNder1_3r1r1r1 @ A @ B @ C )
      | ~ ( ssNder1_2r1r1 @ A @ B )
      | ~ ( ssNder1_1r1 @ A )
      | ~ ssNder1_0
      | ( ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P )
      | ( ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M )
      | ( ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[60]) ).

thf(258,plain,
    $false,
    inference(e,[status(thm)],[129,118,127,119,138,101,88,170,115,120,142,153,110,125,157,93,152,164,106,121,147,132,116,89,133,117,102,160,137,165,92,97,156,169,141,109,124,96,134,128,105,166,148,161,149,144,159,172,113,98,103,140,91,155,108,130,135,167,162,112,123,145,150,95,154,143,99,87,104,158,114,171,139,151,168,146,107,94,126,136,131,163,122,100,90,111]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SYN891-1 : TPTP v8.1.0. Released v2.5.0.
% 0.03/0.14  % Command  : run_Leo-III %s %d
% 0.15/0.36  % Computer : n022.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit : 300
% 0.15/0.36  % WCLimit  : 300
% 0.15/0.36  % DateTime : Mon Sep  5 09:05:39 EDT 2022
% 0.15/0.36  % CPUTime  : 
% 0.97/0.89  % [INFO] 	 Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ... 
% 1.59/1.12  % [INFO] 	 Parsing done (224ms). 
% 1.59/1.13  % [INFO] 	 Running in sequential loop mode. 
% 2.22/1.32  % [INFO] 	 eprover registered as external prover. 
% 2.43/1.33  % [INFO] 	 cvc4 registered as external prover. 
% 2.43/1.33  % [INFO] 	 Scanning for conjecture ... 
% 3.43/1.66  % [INFO] 	 Found a conjecture and 0 axioms. Running axiom selection ... 
% 4.61/2.17  % [INFO] 	 Axiom selection finished. Selected 0 axioms (removed 0 axioms). 
% 4.61/2.17  % [INFO] 	 Problem is propositional (TPTP CNF). 
% 4.61/2.18  % [INFO] 	 Type checking passed. 
% 4.61/2.19  % [CONFIG] 	 Using configuration: timeout(300) with strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>.  Searching for refutation ... 
% 11.02/3.85  % External prover 'e' found a proof!
% 11.02/3.85  % [INFO] 	 Killing All external provers ... 
% 11.02/3.85  % Time passed: 3356ms (effective reasoning time: 2721ms)
% 11.40/3.85  % Solved by strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>
% 11.40/3.85  % Axioms used in derivation (0): 
% 11.40/3.85  % No. of inferences in proof: 173
% 11.40/3.85  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 3356 ms resp. 2721 ms w/o parsing
% 11.90/4.00  % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 11.90/4.00  % [INFO] 	 Killing All external provers ... 
%------------------------------------------------------------------------------