TSTP Solution File: SYN871-1 by Leo-III---1.7.7
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%------------------------------------------------------------------------------
% File : Leo-III---1.7.7
% Problem : SYN871-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n027.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 : Fri May 19 12:32:36 EDT 2023
% Result : Unsatisfiable 8.98s 3.11s
% Output : Refutation 9.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 111
% Syntax : Number of formulae : 168 ( 3 unt; 55 typ; 0 def)
% Number of atoms : 1565 ( 0 equ; 0 cnn)
% Maximal formula atoms : 24 ( 13 avg)
% Number of connectives : 14242 (1426 ~;1452 |; 0 &;11364 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 61 ( 35 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 388 ( 388 >; 0 *; 0 +; 0 <<)
% Number of symbols : 56 ( 55 usr; 18 con; 0-20 aty)
% Number of variables : 1332 ( 0 ^;1332 !; 0 ?;1332 :)
% 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(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(ssPv12_9r1r1r1r1r1r1r1r1r1_type,type,
ssPv12_9r1r1r1r1r1r1r1r1r1: $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).
thf(ssPv19_2r1r1_type,type,
ssPv19_2r1r1: $i > $i > $o ).
thf(ssNder1_11r1r1r1r1r1r1r1r1r1r1r1_type,type,
ssNder1_11r1r1r1r1r1r1r1r1r1r1r1: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).
thf(ssPv11_10r1r1r1r1r1r1r1r1r1r1_type,type,
ssPv11_10r1r1r1r1r1r1r1r1r1r1: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).
thf(ssPv17_4r1r1r1r1_type,type,
ssPv17_4r1r1r1r1: $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(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(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(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(ssPv20_1r1_type,type,
ssPv20_1r1: $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(ssPv18_3r1r1r1_type,type,
ssPv18_3r1r1r1: $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(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_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(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(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(19,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',clause19) ).
thf(110,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)],[19]) ).
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(70,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(56,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 )
| ~ ( 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 )
| ~ ( 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',clause56) ).
thf(64,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 )
| ~ ( 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 )
| ~ ( 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)],[56]) ).
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(59,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(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(80,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(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(112,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(37,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',clause37) ).
thf(67,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)],[37]) ).
thf(46,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 )
| ~ ( 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 )
| ( ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M )
| ( ssPv19_2r1r1 @ A @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause46) ).
thf(72,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 )
| ~ ( 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 )
| ( ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M )
| ( ssPv19_2r1r1 @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[46]) ).
thf(52,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 )
| ~ ( ssPv3_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R )
| ~ ( 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 )
| ~ ( 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 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause52) ).
thf(69,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 )
| ~ ( ssPv3_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R )
| ~ ( 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 )
| ~ ( 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 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[52]) ).
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(101,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(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(88,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(39,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 )
| ~ ( 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 )
| ~ ( ssPv19_2r1r1 @ A @ B )
| ~ ( 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 )
| ( ssPv17_4r1r1r1r1 @ A @ B @ C @ D ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause39) ).
thf(93,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 )
| ~ ( 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 )
| ~ ( ssPv19_2r1r1 @ A @ B )
| ~ ( 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 )
| ( ssPv17_4r1r1r1r1 @ A @ B @ C @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[39]) ).
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(57,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(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(78,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(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
| ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause23) ).
thf(106,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)],[23]) ).
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] :
( ~ ( 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',clause32) ).
thf(84,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)],[32]) ).
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(61,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(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(89,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(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(74,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(2,negated_conjecture,
! [A: $i] :
( ~ ssNder1_0
| ( ssNder1_1r1 @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause2) ).
thf(60,plain,
! [A: $i] :
( ~ ssNder1_0
| ( ssNder1_1r1 @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(34,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',clause34) ).
thf(85,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)],[34]) ).
thf(43,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
| ( ssPv6_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 )
| ( ssPv10_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
| ( ssPv20_1r1 @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause43) ).
thf(102,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
| ( ssPv6_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 )
| ( ssPv10_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
| ( ssPv20_1r1 @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[43]) ).
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(92,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(42,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 )
| ~ ( 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 )
| ~ ( ssPv20_1r1 @ A )
| ~ ( ssNder1_1r1 @ A )
| ~ ssNder1_0
| ( ssPv18_3r1r1r1 @ A @ B @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause42) ).
thf(65,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 )
| ~ ( 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 )
| ~ ( ssPv20_1r1 @ A )
| ~ ( ssNder1_1r1 @ A )
| ~ ssNder1_0
| ( ssPv18_3r1r1r1 @ A @ B @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[42]) ).
thf(18,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',clause18) ).
thf(97,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)],[18]) ).
thf(51,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 )
| ( ssPv16_5r1r1r1r1r1 @ A @ B @ C @ D @ E )
| ( ssPv19_2r1r1 @ A @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause51) ).
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 )
| ~ ( 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 )
| ( ssPv16_5r1r1r1r1r1 @ A @ B @ C @ D @ E )
| ( ssPv19_2r1r1 @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[51]) ).
thf(38,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 )
| ~ ( 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 )
| ~ ( ssPv20_1r1 @ A )
| ~ ( ssNder1_1r1 @ A )
| ~ ssNder1_0
| ( ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P )
| ( ssPv19_2r1r1 @ A @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause38) ).
thf(77,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 )
| ~ ( 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 )
| ~ ( ssPv20_1r1 @ A )
| ~ ( ssNder1_1r1 @ A )
| ~ ssNder1_0
| ( ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P )
| ( ssPv19_2r1r1 @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[38]) ).
thf(48,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 )
| ~ ( 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 )
| ~ ( 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 )
| ~ ( 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',clause48) ).
thf(96,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 )
| ~ ( 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 )
| ~ ( 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 )
| ~ ( 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)],[48]) ).
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(73,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(55,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] :
( ~ ( ssPv3_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R )
| ~ ( 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
| ( ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P )
| ( ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause55) ).
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] :
( ~ ( ssPv3_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R )
| ~ ( 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
| ( ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P )
| ( ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[55]) ).
thf(20,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 )
| ~ ( ssPv12_9r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I )
| ~ ( 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
| ( ssPv14_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G )
| ( ssPv19_2r1r1 @ A @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause20) ).
thf(71,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 )
| ~ ( ssPv12_9r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I )
| ~ ( 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
| ( ssPv14_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G )
| ( ssPv19_2r1r1 @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).
thf(22,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 )
| ~ ( 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
| ( ssPv11_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J )
| ( ssPv15_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
| ( ssPv17_4r1r1r1r1 @ A @ B @ C @ D ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause22) ).
thf(86,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 )
| ~ ( 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
| ( ssPv11_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J )
| ( ssPv15_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
| ( ssPv17_4r1r1r1r1 @ A @ B @ C @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).
thf(41,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
| ( 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 )
| ( ssPv18_3r1r1r1 @ A @ B @ C )
| ( ssPv19_2r1r1 @ A @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause41) ).
thf(81,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
| ( 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 )
| ( ssPv18_3r1r1r1 @ A @ B @ C )
| ( ssPv19_2r1r1 @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[41]) ).
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(76,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(50,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 )
| ~ ( 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 )
| ~ ( 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
| ( ssPv15_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause50) ).
thf(98,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 )
| ~ ( 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 )
| ~ ( 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
| ( ssPv15_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[50]) ).
thf(40,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',clause40) ).
thf(103,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)],[40]) ).
thf(49,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',clause49) ).
thf(91,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)],[49]) ).
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] :
( ~ ( 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',clause24) ).
thf(66,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)],[24]) ).
thf(30,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',clause30) ).
thf(108,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)],[30]) ).
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(63,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(35,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',clause35) ).
thf(95,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)],[35]) ).
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(99,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(44,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',clause44) ).
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 )
| ~ ( 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)],[44]) ).
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 )
| ~ ( ssPv10_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
| ~ ( 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
| ( ssPv11_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J )
| ( 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',clause26) ).
thf(104,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 )
| ~ ( ssPv10_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
| ~ ( 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
| ( ssPv11_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J )
| ( 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)],[26]) ).
thf(33,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',clause33) ).
thf(75,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)],[33]) ).
thf(1,negated_conjecture,
ssNder1_0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause1) ).
thf(58,plain,
ssNder1_0,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(45,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 )
| ~ ( 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 )
| ~ ( 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 )
| ~ ( ssPv19_2r1r1 @ A @ B )
| ~ ( ssNder1_2r1r1 @ A @ B )
| ~ ( ssNder1_1r1 @ A )
| ~ ssNder1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause45) ).
thf(82,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 )
| ~ ( 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 )
| ~ ( 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 )
| ~ ( ssPv19_2r1r1 @ A @ B )
| ~ ( ssNder1_2r1r1 @ A @ B )
| ~ ( ssNder1_1r1 @ A )
| ~ ssNder1_0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[45]) ).
thf(36,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 )
| ~ ( 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
| ( 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 )
| ( ssPv13_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause36) ).
thf(107,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 )
| ~ ( 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
| ( 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 )
| ( ssPv13_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[36]) ).
thf(53,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 )
| ~ ( 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',clause53) ).
thf(79,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 )
| ~ ( 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)],[53]) ).
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(94,plain,
! [B: $i,A: $i] :
( ~ ( ssNder1_1r1 @ A )
| ~ ssNder1_0
| ( ssNder1_2r1r1 @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(25,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',clause25) ).
thf(68,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)],[25]) ).
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(62,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(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(83,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(31,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',clause31) ).
thf(100,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)],[31]) ).
thf(54,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 )
| ~ ( 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 )
| ~ ( 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 )
| ~ ( 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
| ( ssPv2_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',clause54) ).
thf(90,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 )
| ~ ( 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 )
| ~ ( 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 )
| ~ ( 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
| ( ssPv2_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)],[54]) ).
thf(47,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 )
| ~ ( 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
| ( ssPv5_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 )
| ( ssPv11_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause47) ).
thf(111,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 )
| ~ ( 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
| ( ssPv5_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 )
| ( ssPv11_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[47]) ).
thf(168,plain,
$false,
inference(e,[status(thm)],[110,70,64,59,80,112,67,72,69,101,88,93,57,78,106,84,61,89,74,60,85,102,92,65,97,109,77,96,73,105,71,86,81,76,98,103,91,66,108,63,95,99,87,104,75,58,82,107,79,94,68,62,83,100,90,111]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SYN871-1 : TPTP v8.1.2. Released v2.5.0.
% 0.11/0.15 % Command : run_Leo-III %s %d
% 0.15/0.36 % Computer : n027.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 : Thu May 18 19:47:06 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.99/0.87 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.57/1.09 % [INFO] Parsing done (215ms).
% 1.80/1.09 % [INFO] Running in sequential loop mode.
% 2.19/1.31 % [INFO] eprover registered as external prover.
% 2.19/1.31 % [INFO] cvc4 registered as external prover.
% 2.19/1.31 % [INFO] Scanning for conjecture ...
% 3.19/1.57 % [INFO] Found a conjecture and 0 axioms. Running axiom selection ...
% 4.41/1.92 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 4.41/1.92 % [INFO] Problem is propositional (TPTP CNF).
% 4.41/1.93 % [INFO] Type checking passed.
% 4.41/1.94 % [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 ...
% 8.60/3.04 % External prover 'e' found a proof!
% 8.60/3.04 % [INFO] Killing All external provers ...
% 8.60/3.04 % Time passed: 2499ms (effective reasoning time: 1944ms)
% 8.60/3.04 % 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)>
% 8.98/3.11 % Axioms used in derivation (0):
% 8.98/3.11 % No. of inferences in proof: 113
% 8.98/3.11 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 2499 ms resp. 1944 ms w/o parsing
% 9.59/3.22 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 9.59/3.22 % [INFO] Killing All external provers ...
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