%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : SYN873-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39
% Computer : n005.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun Sep 27 09:18:27 AM UTC 2026
% Result : Unsatisfiable 33.98s 13.99s
% Output : Refutation 34.79s
% Verified :
% SZS Type : Refutation
% Derivation depth : 97
% Number of leaves : 43
% Syntax : Number of formulae : 459 ( 39 unt; 0 typ; 0 def)
% Number of atoms : 3717 ( 88 equ; 0 cnn)
% Maximal formula atoms : 24 ( 8 avg)
% Number of connectives : 34082 (2952 ~;3082 |; 0 &;28048 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 65 ( 35 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 52 ( 49 usr; 15 con; 0-20 aty)
% Number of variables : 6933 ( 0 ^;6933 !; 0 ?;6933 :)
% Comments :
%------------------------------------------------------------------------------
thf(ssNder1_0_decl,type,
ssNder1_0: $o ).
thf(ssNder1_1r1_decl,type,
ssNder1_1r1: $i > $o ).
thf(ssNder1_2r1r1_decl,type,
ssNder1_2r1r1: $i > $i > $o ).
thf(ssNder1_3r1r1r1_decl,type,
ssNder1_3r1r1r1: $i > $i > $i > $o ).
thf(ssNder1_4r1r1r1r1_decl,type,
ssNder1_4r1r1r1r1: $i > $i > $i > $i > $o ).
thf(ssPv16_5r1r1r1r1r1_decl,type,
ssPv16_5r1r1r1r1r1: $i > $i > $i > $i > $i > $o ).
thf(skc30_decl,type,
skc30: $i ).
thf(skc31_decl,type,
skc31: $i ).
thf(ssNder1_5r1r1r1r1r1_decl,type,
ssNder1_5r1r1r1r1r1: $i > $i > $i > $i > $i > $o ).
thf(ssPv15_6r1r1r1r1r1r1_decl,type,
ssPv15_6r1r1r1r1r1r1: $i > $i > $i > $i > $i > $i > $o ).
thf(skc29_decl,type,
skc29: $i ).
thf(ssNder1_6r1r1r1r1r1r1_decl,type,
ssNder1_6r1r1r1r1r1r1: $i > $i > $i > $i > $i > $i > $o ).
thf(ssPv14_7r1r1r1r1r1r1r1_decl,type,
ssPv14_7r1r1r1r1r1r1r1: $i > $i > $i > $i > $i > $i > $i > $o ).
thf(skc26_decl,type,
skc26: $i ).
thf(ssNder1_7r1r1r1r1r1r1r1_decl,type,
ssNder1_7r1r1r1r1r1r1r1: $i > $i > $i > $i > $i > $i > $i > $o ).
thf(ssPv13_8r1r1r1r1r1r1r1r1_decl,type,
ssPv13_8r1r1r1r1r1r1r1r1: $i > $i > $i > $i > $i > $i > $i > $i > $o ).
thf(skc24_decl,type,
skc24: $i ).
thf(skc25_decl,type,
skc25: $i ).
thf(ssNder1_8r1r1r1r1r1r1r1r1_decl,type,
ssNder1_8r1r1r1r1r1r1r1r1: $i > $i > $i > $i > $i > $i > $i > $i > $o ).
thf(ssNder1_9r1r1r1r1r1r1r1r1r1_decl,type,
ssNder1_9r1r1r1r1r1r1r1r1r1: $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).
thf(ssNder1_10r1r1r1r1r1r1r1r1r1r1_decl,type,
ssNder1_10r1r1r1r1r1r1r1r1r1r1: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).
thf(ssNder1_11r1r1r1r1r1r1r1r1r1r1r1_decl,type,
ssNder1_11r1r1r1r1r1r1r1r1r1r1r1: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).
thf(ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1_decl,type,
ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).
thf(ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1_decl,type,
ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).
thf(skc23_decl,type,
skc23: $i ).
thf(ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1_decl,type,
ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).
thf(ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1_decl,type,
ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).
thf(skc20_decl,type,
skc20: $i ).
thf(ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1_decl,type,
ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).
thf(ssPv11_10r1r1r1r1r1r1r1r1r1r1_decl,type,
ssPv11_10r1r1r1r1r1r1r1r1r1r1: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).
thf(ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1_decl,type,
ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).
thf(skc18_decl,type,
skc18: $i ).
thf(skc19_decl,type,
skc19: $i ).
thf(ssPv20_1r1_decl,type,
ssPv20_1r1: $i > $o ).
thf(ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1_decl,type,
ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).
thf(ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1_decl,type,
ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).
thf(skc16_decl,type,
skc16: $i ).
thf(skc17_decl,type,
skc17: $i ).
thf(ssPv10_11r1r1r1r1r1r1r1r1r1r1r1_decl,type,
ssPv10_11r1r1r1r1r1r1r1r1r1r1r1: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).
thf(ssPv18_3r1r1r1_decl,type,
ssPv18_3r1r1r1: $i > $i > $i > $o ).
thf(ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1_decl,type,
ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).
thf(ssPv19_2r1r1_decl,type,
ssPv19_2r1r1: $i > $i > $o ).
thf(ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1_decl,type,
ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).
thf(ssPv4_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1_decl,type,
ssPv4_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).
thf(ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1_decl,type,
ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).
thf(ssPv17_4r1r1r1r1_decl,type,
ssPv17_4r1r1r1r1: $i > $i > $i > $i > $o ).
thf(ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1_decl,type,
ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).
thf(ssPv2_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1_decl,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_decl,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(12,negated_conjecture,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( skc26 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv14_7r1r1r1r1r1r1r1 ) ) ) ) ) ) )
| ~ ssNder1_0
| ~ ( A @ ssNder1_1r1 )
| ~ ( B @ ( A @ ssNder1_2r1r1 ) )
| ~ ( C @ ( B @ ( A @ ssNder1_3r1r1r1 ) ) )
| ~ ( D @ ( C @ ( B @ ( A @ ssNder1_4r1r1r1r1 ) ) ) )
| ~ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_5r1r1r1r1r1 ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause12) ).
thf(105,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( skc26 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv14_7r1r1r1r1r1r1r1 ) ) ) ) ) ) )
| ~ ssNder1_0
| ~ ( A @ ssNder1_1r1 )
| ~ ( B @ ( A @ ssNder1_2r1r1 ) )
| ~ ( C @ ( B @ ( A @ ssNder1_3r1r1r1 ) ) )
| ~ ( D @ ( C @ ( B @ ( A @ ssNder1_4r1r1r1r1 ) ) ) )
| ~ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_5r1r1r1r1r1 ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(165,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( skc26 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv14_7r1r1r1r1r1r1r1 ) ) ) ) ) ) )
| ~ ssNder1_0
| ~ ( A @ ssNder1_1r1 )
| ~ ( B @ ( A @ ssNder1_2r1r1 ) )
| ~ ( C @ ( B @ ( A @ ssNder1_3r1r1r1 ) ) )
| ~ ( D @ ( C @ ( B @ ( A @ ssNder1_4r1r1r1r1 ) ) ) )
| ~ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_5r1r1r1r1r1 ) ) ) ) ) ),
inference(cnf,[status(esa)],[105]) ).
thf(5,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ( D @ ( C @ ( B @ ( A @ ssNder1_4r1r1r1r1 ) ) ) )
| ~ ssNder1_0
| ~ ( A @ ssNder1_1r1 )
| ~ ( B @ ( A @ ssNder1_2r1r1 ) )
| ~ ( C @ ( B @ ( A @ ssNder1_3r1r1r1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause5) ).
thf(67,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( D @ ( C @ ( B @ ( A @ ssNder1_4r1r1r1r1 ) ) ) )
| ~ ssNder1_0
| ~ ( A @ ssNder1_1r1 )
| ~ ( B @ ( A @ ssNder1_2r1r1 ) )
| ~ ( C @ ( B @ ( A @ ssNder1_3r1r1r1 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(179,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( D @ ( C @ ( B @ ( A @ ssNder1_4r1r1r1r1 ) ) ) )
| ~ ssNder1_0
| ~ ( A @ ssNder1_1r1 )
| ~ ( B @ ( A @ ssNder1_2r1r1 ) )
| ~ ( C @ ( B @ ( A @ ssNder1_3r1r1r1 ) ) ) ),
inference(cnf,[status(esa)],[67]) ).
thf(1,negated_conjecture,
ssNder1_0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause1) ).
thf(85,plain,
ssNder1_0,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(2,negated_conjecture,
! [A: $i] :
( ( A @ ssNder1_1r1 )
| ~ ssNder1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause2) ).
thf(69,plain,
! [A: $i] :
( ( A @ ssNder1_1r1 )
| ~ ssNder1_0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(139,plain,
! [A: $i] :
( ( A @ ssNder1_1r1 )
| ~ ssNder1_0 ),
inference(cnf,[status(esa)],[69]) ).
thf(198,plain,
! [A: $i] :
( ( A @ ssNder1_1r1 )
| ~ $true ),
inference(rewrite,[status(thm)],[139,85]) ).
thf(199,plain,
! [A: $i] : ( A @ ssNder1_1r1 ),
inference(simp,[status(thm)],[198]) ).
thf(3,negated_conjecture,
! [B: $i,A: $i] :
( ( B @ ( A @ ssNder1_2r1r1 ) )
| ~ ssNder1_0
| ~ ( A @ ssNder1_1r1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause3) ).
thf(110,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ ssNder1_2r1r1 ) )
| ~ ssNder1_0
| ~ ( A @ ssNder1_1r1 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(144,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ ssNder1_2r1r1 ) )
| ~ ssNder1_0
| ~ ( A @ ssNder1_1r1 ) ),
inference(cnf,[status(esa)],[110]) ).
thf(200,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ ssNder1_2r1r1 ) )
| ~ $true
| ~ $true ),
inference(rewrite,[status(thm)],[144,85,199]) ).
thf(201,plain,
! [B: $i,A: $i] : ( B @ ( A @ ssNder1_2r1r1 ) ),
inference(simp,[status(thm)],[200]) ).
thf(4,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( A @ ssNder1_3r1r1r1 ) ) )
| ~ ssNder1_0
| ~ ( A @ ssNder1_1r1 )
| ~ ( B @ ( A @ ssNder1_2r1r1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause4) ).
thf(71,plain,
! [C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( A @ ssNder1_3r1r1r1 ) ) )
| ~ ssNder1_0
| ~ ( A @ ssNder1_1r1 )
| ~ ( B @ ( A @ ssNder1_2r1r1 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(166,plain,
! [C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( A @ ssNder1_3r1r1r1 ) ) )
| ~ ssNder1_0
| ~ ( A @ ssNder1_1r1 )
| ~ ( B @ ( A @ ssNder1_2r1r1 ) ) ),
inference(cnf,[status(esa)],[71]) ).
thf(202,plain,
! [C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( A @ ssNder1_3r1r1r1 ) ) )
| ~ $true
| ~ $true
| ~ $true ),
inference(rewrite,[status(thm)],[166,85,199,201]) ).
thf(203,plain,
! [C: $i,B: $i,A: $i] : ( C @ ( B @ ( A @ ssNder1_3r1r1r1 ) ) ),
inference(simp,[status(thm)],[202]) ).
thf(208,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( D @ ( C @ ( B @ ( A @ ssNder1_4r1r1r1r1 ) ) ) )
| ~ $true
| ~ $true
| ~ $true
| ~ $true ),
inference(rewrite,[status(thm)],[179,85,199,201,203]) ).
thf(209,plain,
! [D: $i,C: $i,B: $i,A: $i] : ( D @ ( C @ ( B @ ( A @ ssNder1_4r1r1r1r1 ) ) ) ),
inference(simp,[status(thm)],[208]) ).
thf(8,negated_conjecture,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_5r1r1r1r1r1 ) ) ) ) )
| ~ ssNder1_0
| ~ ( A @ ssNder1_1r1 )
| ~ ( B @ ( A @ ssNder1_2r1r1 ) )
| ~ ( C @ ( B @ ( A @ ssNder1_3r1r1r1 ) ) )
| ~ ( D @ ( C @ ( B @ ( A @ ssNder1_4r1r1r1r1 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause8) ).
thf(124,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_5r1r1r1r1r1 ) ) ) ) )
| ~ ssNder1_0
| ~ ( A @ ssNder1_1r1 )
| ~ ( B @ ( A @ ssNder1_2r1r1 ) )
| ~ ( C @ ( B @ ( A @ ssNder1_3r1r1r1 ) ) )
| ~ ( D @ ( C @ ( B @ ( A @ ssNder1_4r1r1r1r1 ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(160,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_5r1r1r1r1r1 ) ) ) ) )
| ~ ssNder1_0
| ~ ( A @ ssNder1_1r1 )
| ~ ( B @ ( A @ ssNder1_2r1r1 ) )
| ~ ( C @ ( B @ ( A @ ssNder1_3r1r1r1 ) ) )
| ~ ( D @ ( C @ ( B @ ( A @ ssNder1_4r1r1r1r1 ) ) ) ) ),
inference(cnf,[status(esa)],[124]) ).
thf(220,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_5r1r1r1r1r1 ) ) ) ) )
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true ),
inference(rewrite,[status(thm)],[160,209,85,199,201,203]) ).
thf(221,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] : ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_5r1r1r1r1r1 ) ) ) ) ),
inference(simp,[status(thm)],[220]) ).
thf(244,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( skc26 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv14_7r1r1r1r1r1r1r1 ) ) ) ) ) ) )
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true ),
inference(rewrite,[status(thm)],[165,209,85,199,201,203,221]) ).
thf(245,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] : ( skc26 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv14_7r1r1r1r1r1r1r1 ) ) ) ) ) ) ),
inference(simp,[status(thm)],[244]) ).
thf(63,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] :
( ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv11_10r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) )
| ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ssNder1_0
| ~ ( A @ ssNder1_1r1 )
| ~ ( B @ ( A @ ssNder1_2r1r1 ) )
| ~ ( C @ ( B @ ( A @ ssNder1_3r1r1r1 ) ) )
| ~ ( D @ ( C @ ( B @ ( A @ ssNder1_4r1r1r1r1 ) ) ) )
| ~ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_5r1r1r1r1r1 ) ) ) ) )
| ~ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_6r1r1r1r1r1r1 ) ) ) ) ) )
| ~ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_7r1r1r1r1r1r1r1 ) ) ) ) ) ) )
| ~ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv14_7r1r1r1r1r1r1r1 ) ) ) ) ) ) )
| ~ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
| ~ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_9r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) )
| ~ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_10r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) )
| ~ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ~ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause63) ).
thf(113,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] :
( ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv11_10r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) )
| ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ssNder1_0
| ~ ( A @ ssNder1_1r1 )
| ~ ( B @ ( A @ ssNder1_2r1r1 ) )
| ~ ( C @ ( B @ ( A @ ssNder1_3r1r1r1 ) ) )
| ~ ( D @ ( C @ ( B @ ( A @ ssNder1_4r1r1r1r1 ) ) ) )
| ~ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_5r1r1r1r1r1 ) ) ) ) )
| ~ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_6r1r1r1r1r1r1 ) ) ) ) ) )
| ~ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_7r1r1r1r1r1r1r1 ) ) ) ) ) ) )
| ~ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv14_7r1r1r1r1r1r1r1 ) ) ) ) ) ) )
| ~ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
| ~ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_9r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) )
| ~ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_10r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) )
| ~ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ~ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[63]) ).
thf(168,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] :
( ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv11_10r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) )
| ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ssNder1_0
| ~ ( A @ ssNder1_1r1 )
| ~ ( B @ ( A @ ssNder1_2r1r1 ) )
| ~ ( C @ ( B @ ( A @ ssNder1_3r1r1r1 ) ) )
| ~ ( D @ ( C @ ( B @ ( A @ ssNder1_4r1r1r1r1 ) ) ) )
| ~ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_5r1r1r1r1r1 ) ) ) ) )
| ~ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_6r1r1r1r1r1r1 ) ) ) ) ) )
| ~ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_7r1r1r1r1r1r1r1 ) ) ) ) ) ) )
| ~ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv14_7r1r1r1r1r1r1r1 ) ) ) ) ) ) )
| ~ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
| ~ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_9r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) )
| ~ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_10r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) )
| ~ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ~ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[113]) ).
thf(20,negated_conjecture,
! [K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ~ ssNder1_0
| ~ ( A @ ssNder1_1r1 )
| ~ ( B @ ( A @ ssNder1_2r1r1 ) )
| ~ ( C @ ( B @ ( A @ ssNder1_3r1r1r1 ) ) )
| ~ ( D @ ( C @ ( B @ ( A @ ssNder1_4r1r1r1r1 ) ) ) )
| ~ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_5r1r1r1r1r1 ) ) ) ) )
| ~ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_6r1r1r1r1r1r1 ) ) ) ) ) )
| ~ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_7r1r1r1r1r1r1r1 ) ) ) ) ) ) )
| ~ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
| ~ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_9r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) )
| ~ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_10r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause20) ).
thf(80,plain,
! [K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ~ ssNder1_0
| ~ ( A @ ssNder1_1r1 )
| ~ ( B @ ( A @ ssNder1_2r1r1 ) )
| ~ ( C @ ( B @ ( A @ ssNder1_3r1r1r1 ) ) )
| ~ ( D @ ( C @ ( B @ ( A @ ssNder1_4r1r1r1r1 ) ) ) )
| ~ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_5r1r1r1r1r1 ) ) ) ) )
| ~ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_6r1r1r1r1r1r1 ) ) ) ) ) )
| ~ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_7r1r1r1r1r1r1r1 ) ) ) ) ) ) )
| ~ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
| ~ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_9r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) )
| ~ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_10r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).
thf(176,plain,
! [K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ~ ssNder1_0
| ~ ( A @ ssNder1_1r1 )
| ~ ( B @ ( A @ ssNder1_2r1r1 ) )
| ~ ( C @ ( B @ ( A @ ssNder1_3r1r1r1 ) ) )
| ~ ( D @ ( C @ ( B @ ( A @ ssNder1_4r1r1r1r1 ) ) ) )
| ~ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_5r1r1r1r1r1 ) ) ) ) )
| ~ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_6r1r1r1r1r1r1 ) ) ) ) ) )
| ~ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_7r1r1r1r1r1r1r1 ) ) ) ) ) ) )
| ~ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
| ~ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_9r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) )
| ~ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_10r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[80]) ).
thf(19,negated_conjecture,
! [J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_10r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) )
| ~ ssNder1_0
| ~ ( A @ ssNder1_1r1 )
| ~ ( B @ ( A @ ssNder1_2r1r1 ) )
| ~ ( C @ ( B @ ( A @ ssNder1_3r1r1r1 ) ) )
| ~ ( D @ ( C @ ( B @ ( A @ ssNder1_4r1r1r1r1 ) ) ) )
| ~ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_5r1r1r1r1r1 ) ) ) ) )
| ~ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_6r1r1r1r1r1r1 ) ) ) ) ) )
| ~ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_7r1r1r1r1r1r1r1 ) ) ) ) ) ) )
| ~ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
| ~ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_9r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause19) ).
thf(129,plain,
! [J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_10r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) )
| ~ ssNder1_0
| ~ ( A @ ssNder1_1r1 )
| ~ ( B @ ( A @ ssNder1_2r1r1 ) )
| ~ ( C @ ( B @ ( A @ ssNder1_3r1r1r1 ) ) )
| ~ ( D @ ( C @ ( B @ ( A @ ssNder1_4r1r1r1r1 ) ) ) )
| ~ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_5r1r1r1r1r1 ) ) ) ) )
| ~ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_6r1r1r1r1r1r1 ) ) ) ) ) )
| ~ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_7r1r1r1r1r1r1r1 ) ) ) ) ) ) )
| ~ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
| ~ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_9r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).
thf(134,plain,
! [J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_10r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) )
| ~ ssNder1_0
| ~ ( A @ ssNder1_1r1 )
| ~ ( B @ ( A @ ssNder1_2r1r1 ) )
| ~ ( C @ ( B @ ( A @ ssNder1_3r1r1r1 ) ) )
| ~ ( D @ ( C @ ( B @ ( A @ ssNder1_4r1r1r1r1 ) ) ) )
| ~ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_5r1r1r1r1r1 ) ) ) ) )
| ~ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_6r1r1r1r1r1r1 ) ) ) ) ) )
| ~ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_7r1r1r1r1r1r1r1 ) ) ) ) ) ) )
| ~ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
| ~ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_9r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[129]) ).
thf(11,negated_conjecture,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_6r1r1r1r1r1r1 ) ) ) ) ) )
| ~ ssNder1_0
| ~ ( A @ ssNder1_1r1 )
| ~ ( B @ ( A @ ssNder1_2r1r1 ) )
| ~ ( C @ ( B @ ( A @ ssNder1_3r1r1r1 ) ) )
| ~ ( D @ ( C @ ( B @ ( A @ ssNder1_4r1r1r1r1 ) ) ) )
| ~ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_5r1r1r1r1r1 ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause11) ).
thf(118,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_6r1r1r1r1r1r1 ) ) ) ) ) )
| ~ ssNder1_0
| ~ ( A @ ssNder1_1r1 )
| ~ ( B @ ( A @ ssNder1_2r1r1 ) )
| ~ ( C @ ( B @ ( A @ ssNder1_3r1r1r1 ) ) )
| ~ ( D @ ( C @ ( B @ ( A @ ssNder1_4r1r1r1r1 ) ) ) )
| ~ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_5r1r1r1r1r1 ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(135,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_6r1r1r1r1r1r1 ) ) ) ) ) )
| ~ ssNder1_0
| ~ ( A @ ssNder1_1r1 )
| ~ ( B @ ( A @ ssNder1_2r1r1 ) )
| ~ ( C @ ( B @ ( A @ ssNder1_3r1r1r1 ) ) )
| ~ ( D @ ( C @ ( B @ ( A @ ssNder1_4r1r1r1r1 ) ) ) )
| ~ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_5r1r1r1r1r1 ) ) ) ) ) ),
inference(cnf,[status(esa)],[118]) ).
thf(236,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_6r1r1r1r1r1r1 ) ) ) ) ) )
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true ),
inference(rewrite,[status(thm)],[135,209,85,199,201,203,221]) ).
thf(237,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] : ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_6r1r1r1r1r1r1 ) ) ) ) ) ),
inference(simp,[status(thm)],[236]) ).
thf(242,plain,
! [J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_10r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) )
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_7r1r1r1r1r1r1r1 ) ) ) ) ) ) )
| ~ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
| ~ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_9r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ),
inference(rewrite,[status(thm)],[134,209,85,199,201,203,221,237]) ).
thf(243,plain,
! [J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_10r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) )
| ~ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_7r1r1r1r1r1r1r1 ) ) ) ) ) ) )
| ~ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
| ~ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_9r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[242]) ).
thf(14,negated_conjecture,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_7r1r1r1r1r1r1r1 ) ) ) ) ) ) )
| ~ ssNder1_0
| ~ ( A @ ssNder1_1r1 )
| ~ ( B @ ( A @ ssNder1_2r1r1 ) )
| ~ ( C @ ( B @ ( A @ ssNder1_3r1r1r1 ) ) )
| ~ ( D @ ( C @ ( B @ ( A @ ssNder1_4r1r1r1r1 ) ) ) )
| ~ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_5r1r1r1r1r1 ) ) ) ) )
| ~ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_6r1r1r1r1r1r1 ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause14) ).
thf(79,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_7r1r1r1r1r1r1r1 ) ) ) ) ) ) )
| ~ ssNder1_0
| ~ ( A @ ssNder1_1r1 )
| ~ ( B @ ( A @ ssNder1_2r1r1 ) )
| ~ ( C @ ( B @ ( A @ ssNder1_3r1r1r1 ) ) )
| ~ ( D @ ( C @ ( B @ ( A @ ssNder1_4r1r1r1r1 ) ) ) )
| ~ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_5r1r1r1r1r1 ) ) ) ) )
| ~ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_6r1r1r1r1r1r1 ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(189,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_7r1r1r1r1r1r1r1 ) ) ) ) ) ) )
| ~ ssNder1_0
| ~ ( A @ ssNder1_1r1 )
| ~ ( B @ ( A @ ssNder1_2r1r1 ) )
| ~ ( C @ ( B @ ( A @ ssNder1_3r1r1r1 ) ) )
| ~ ( D @ ( C @ ( B @ ( A @ ssNder1_4r1r1r1r1 ) ) ) )
| ~ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_5r1r1r1r1r1 ) ) ) ) )
| ~ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_6r1r1r1r1r1r1 ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[79]) ).
thf(250,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_7r1r1r1r1r1r1r1 ) ) ) ) ) ) )
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true ),
inference(rewrite,[status(thm)],[189,209,85,199,201,203,221,237]) ).
thf(251,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] : ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_7r1r1r1r1r1r1r1 ) ) ) ) ) ) ),
inference(simp,[status(thm)],[250]) ).
thf(252,plain,
! [J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_10r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) )
| ~ $true
| ~ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
| ~ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_9r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ),
inference(rewrite,[status(thm)],[243,251]) ).
thf(253,plain,
! [J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_10r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) )
| ~ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
| ~ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_9r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[252]) ).
thf(17,negated_conjecture,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
| ~ ssNder1_0
| ~ ( A @ ssNder1_1r1 )
| ~ ( B @ ( A @ ssNder1_2r1r1 ) )
| ~ ( C @ ( B @ ( A @ ssNder1_3r1r1r1 ) ) )
| ~ ( D @ ( C @ ( B @ ( A @ ssNder1_4r1r1r1r1 ) ) ) )
| ~ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_5r1r1r1r1r1 ) ) ) ) )
| ~ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_6r1r1r1r1r1r1 ) ) ) ) ) )
| ~ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_7r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause17) ).
thf(98,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
| ~ ssNder1_0
| ~ ( A @ ssNder1_1r1 )
| ~ ( B @ ( A @ ssNder1_2r1r1 ) )
| ~ ( C @ ( B @ ( A @ ssNder1_3r1r1r1 ) ) )
| ~ ( D @ ( C @ ( B @ ( A @ ssNder1_4r1r1r1r1 ) ) ) )
| ~ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_5r1r1r1r1r1 ) ) ) ) )
| ~ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_6r1r1r1r1r1r1 ) ) ) ) ) )
| ~ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_7r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).
thf(171,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
| ~ ssNder1_0
| ~ ( A @ ssNder1_1r1 )
| ~ ( B @ ( A @ ssNder1_2r1r1 ) )
| ~ ( C @ ( B @ ( A @ ssNder1_3r1r1r1 ) ) )
| ~ ( D @ ( C @ ( B @ ( A @ ssNder1_4r1r1r1r1 ) ) ) )
| ~ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_5r1r1r1r1r1 ) ) ) ) )
| ~ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_6r1r1r1r1r1r1 ) ) ) ) ) )
| ~ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_7r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[98]) ).
thf(278,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true ),
inference(rewrite,[status(thm)],[171,209,85,199,201,203,251,221,237]) ).
thf(279,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] : ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[278]) ).
thf(286,plain,
! [J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_10r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) )
| ~ $true
| ~ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_9r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ),
inference(rewrite,[status(thm)],[253,279]) ).
thf(287,plain,
! [J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_10r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) )
| ~ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_9r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[286]) ).
thf(18,negated_conjecture,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_9r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) )
| ~ ssNder1_0
| ~ ( A @ ssNder1_1r1 )
| ~ ( B @ ( A @ ssNder1_2r1r1 ) )
| ~ ( C @ ( B @ ( A @ ssNder1_3r1r1r1 ) ) )
| ~ ( D @ ( C @ ( B @ ( A @ ssNder1_4r1r1r1r1 ) ) ) )
| ~ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_5r1r1r1r1r1 ) ) ) ) )
| ~ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_6r1r1r1r1r1r1 ) ) ) ) ) )
| ~ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_7r1r1r1r1r1r1r1 ) ) ) ) ) ) )
| ~ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause18) ).
thf(114,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_9r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) )
| ~ ssNder1_0
| ~ ( A @ ssNder1_1r1 )
| ~ ( B @ ( A @ ssNder1_2r1r1 ) )
| ~ ( C @ ( B @ ( A @ ssNder1_3r1r1r1 ) ) )
| ~ ( D @ ( C @ ( B @ ( A @ ssNder1_4r1r1r1r1 ) ) ) )
| ~ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_5r1r1r1r1r1 ) ) ) ) )
| ~ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_6r1r1r1r1r1r1 ) ) ) ) ) )
| ~ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_7r1r1r1r1r1r1r1 ) ) ) ) ) ) )
| ~ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).
thf(138,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_9r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) )
| ~ ssNder1_0
| ~ ( A @ ssNder1_1r1 )
| ~ ( B @ ( A @ ssNder1_2r1r1 ) )
| ~ ( C @ ( B @ ( A @ ssNder1_3r1r1r1 ) ) )
| ~ ( D @ ( C @ ( B @ ( A @ ssNder1_4r1r1r1r1 ) ) ) )
| ~ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_5r1r1r1r1r1 ) ) ) ) )
| ~ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_6r1r1r1r1r1r1 ) ) ) ) ) )
| ~ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_7r1r1r1r1r1r1r1 ) ) ) ) ) ) )
| ~ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[114]) ).
thf(298,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_9r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) )
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true ),
inference(rewrite,[status(thm)],[138,209,85,199,279,201,203,251,221,237]) ).
thf(299,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] : ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_9r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[298]) ).
thf(306,plain,
! [J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_10r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(rewrite,[status(thm)],[287,299]) ).
thf(307,plain,
! [J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] : ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_10r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[306]) ).
thf(325,plain,
! [K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true ),
inference(rewrite,[status(thm)],[176,209,307,85,199,279,201,203,251,299,221,237]) ).
thf(326,plain,
! [K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] : ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[325]) ).
thf(32,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] :
( ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ssNder1_0
| ~ ( A @ ssNder1_1r1 )
| ~ ( B @ ( A @ ssNder1_2r1r1 ) )
| ~ ( C @ ( B @ ( A @ ssNder1_3r1r1r1 ) ) )
| ~ ( D @ ( C @ ( B @ ( A @ ssNder1_4r1r1r1r1 ) ) ) )
| ~ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_5r1r1r1r1r1 ) ) ) ) )
| ~ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_6r1r1r1r1r1r1 ) ) ) ) ) )
| ~ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_7r1r1r1r1r1r1r1 ) ) ) ) ) ) )
| ~ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
| ~ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_9r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) )
| ~ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_10r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) )
| ~ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ~ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause32) ).
thf(99,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] :
( ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ssNder1_0
| ~ ( A @ ssNder1_1r1 )
| ~ ( B @ ( A @ ssNder1_2r1r1 ) )
| ~ ( C @ ( B @ ( A @ ssNder1_3r1r1r1 ) ) )
| ~ ( D @ ( C @ ( B @ ( A @ ssNder1_4r1r1r1r1 ) ) ) )
| ~ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_5r1r1r1r1r1 ) ) ) ) )
| ~ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_6r1r1r1r1r1r1 ) ) ) ) ) )
| ~ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_7r1r1r1r1r1r1r1 ) ) ) ) ) ) )
| ~ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
| ~ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_9r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) )
| ~ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_10r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) )
| ~ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ~ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[32]) ).
thf(181,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] :
( ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ssNder1_0
| ~ ( A @ ssNder1_1r1 )
| ~ ( B @ ( A @ ssNder1_2r1r1 ) )
| ~ ( C @ ( B @ ( A @ ssNder1_3r1r1r1 ) ) )
| ~ ( D @ ( C @ ( B @ ( A @ ssNder1_4r1r1r1r1 ) ) ) )
| ~ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_5r1r1r1r1r1 ) ) ) ) )
| ~ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_6r1r1r1r1r1r1 ) ) ) ) ) )
| ~ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_7r1r1r1r1r1r1r1 ) ) ) ) ) ) )
| ~ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
| ~ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_9r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) )
| ~ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_10r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) )
| ~ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ~ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[99]) ).
thf(24,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] :
( ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ssNder1_0
| ~ ( A @ ssNder1_1r1 )
| ~ ( B @ ( A @ ssNder1_2r1r1 ) )
| ~ ( C @ ( B @ ( A @ ssNder1_3r1r1r1 ) ) )
| ~ ( D @ ( C @ ( B @ ( A @ ssNder1_4r1r1r1r1 ) ) ) )
| ~ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_5r1r1r1r1r1 ) ) ) ) )
| ~ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_6r1r1r1r1r1r1 ) ) ) ) ) )
| ~ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_7r1r1r1r1r1r1r1 ) ) ) ) ) ) )
| ~ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
| ~ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_9r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) )
| ~ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_10r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) )
| ~ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ~ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause24) ).
thf(75,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] :
( ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ssNder1_0
| ~ ( A @ ssNder1_1r1 )
| ~ ( B @ ( A @ ssNder1_2r1r1 ) )
| ~ ( C @ ( B @ ( A @ ssNder1_3r1r1r1 ) ) )
| ~ ( D @ ( C @ ( B @ ( A @ ssNder1_4r1r1r1r1 ) ) ) )
| ~ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_5r1r1r1r1r1 ) ) ) ) )
| ~ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_6r1r1r1r1r1r1 ) ) ) ) ) )
| ~ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_7r1r1r1r1r1r1r1 ) ) ) ) ) ) )
| ~ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
| ~ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_9r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) )
| ~ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_10r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) )
| ~ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ~ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).
thf(184,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] :
( ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ssNder1_0
| ~ ( A @ ssNder1_1r1 )
| ~ ( B @ ( A @ ssNder1_2r1r1 ) )
| ~ ( C @ ( B @ ( A @ ssNder1_3r1r1r1 ) ) )
| ~ ( D @ ( C @ ( B @ ( A @ ssNder1_4r1r1r1r1 ) ) ) )
| ~ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_5r1r1r1r1r1 ) ) ) ) )
| ~ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_6r1r1r1r1r1r1 ) ) ) ) ) )
| ~ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_7r1r1r1r1r1r1r1 ) ) ) ) ) ) )
| ~ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
| ~ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_9r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) )
| ~ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_10r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) )
| ~ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ~ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[75]) ).
thf(21,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] :
( ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) )
| ~ ssNder1_0
| ~ ( A @ ssNder1_1r1 )
| ~ ( B @ ( A @ ssNder1_2r1r1 ) )
| ~ ( C @ ( B @ ( A @ ssNder1_3r1r1r1 ) ) )
| ~ ( D @ ( C @ ( B @ ( A @ ssNder1_4r1r1r1r1 ) ) ) )
| ~ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_5r1r1r1r1r1 ) ) ) ) )
| ~ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_6r1r1r1r1r1r1 ) ) ) ) ) )
| ~ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_7r1r1r1r1r1r1r1 ) ) ) ) ) ) )
| ~ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
| ~ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_9r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) )
| ~ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_10r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) )
| ~ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause21) ).
thf(88,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] :
( ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) )
| ~ ssNder1_0
| ~ ( A @ ssNder1_1r1 )
| ~ ( B @ ( A @ ssNder1_2r1r1 ) )
| ~ ( C @ ( B @ ( A @ ssNder1_3r1r1r1 ) ) )
| ~ ( D @ ( C @ ( B @ ( A @ ssNder1_4r1r1r1r1 ) ) ) )
| ~ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_5r1r1r1r1r1 ) ) ) ) )
| ~ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_6r1r1r1r1r1r1 ) ) ) ) ) )
| ~ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_7r1r1r1r1r1r1r1 ) ) ) ) ) ) )
| ~ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
| ~ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_9r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) )
| ~ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_10r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) )
| ~ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).
thf(141,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] :
( ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) )
| ~ ssNder1_0
| ~ ( A @ ssNder1_1r1 )
| ~ ( B @ ( A @ ssNder1_2r1r1 ) )
| ~ ( C @ ( B @ ( A @ ssNder1_3r1r1r1 ) ) )
| ~ ( D @ ( C @ ( B @ ( A @ ssNder1_4r1r1r1r1 ) ) ) )
| ~ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_5r1r1r1r1r1 ) ) ) ) )
| ~ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_6r1r1r1r1r1r1 ) ) ) ) ) )
| ~ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_7r1r1r1r1r1r1r1 ) ) ) ) ) ) )
| ~ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
| ~ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_9r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) )
| ~ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_10r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) )
| ~ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[88]) ).
thf(343,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] :
( ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) )
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true ),
inference(rewrite,[status(thm)],[141,326,199,201,203,299,237,209,307,85,279,251,221]) ).
thf(344,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] : ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[343]) ).
thf(401,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] :
( ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true ),
inference(rewrite,[status(thm)],[184,326,199,201,203,299,237,209,307,85,279,344,251,221]) ).
thf(402,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] : ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[401]) ).
thf(881,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] :
( ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(rewrite,[status(thm)],[181,326,199,201,203,299,237,209,402,307,85,279,344,251,221]) ).
thf(882,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] :
( ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[881]) ).
thf(36,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] :
( ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ssNder1_0
| ~ ( A @ ssNder1_1r1 )
| ~ ( B @ ( A @ ssNder1_2r1r1 ) )
| ~ ( C @ ( B @ ( A @ ssNder1_3r1r1r1 ) ) )
| ~ ( D @ ( C @ ( B @ ( A @ ssNder1_4r1r1r1r1 ) ) ) )
| ~ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_5r1r1r1r1r1 ) ) ) ) )
| ~ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_6r1r1r1r1r1r1 ) ) ) ) ) )
| ~ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_7r1r1r1r1r1r1r1 ) ) ) ) ) ) )
| ~ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
| ~ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_9r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) )
| ~ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_10r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) )
| ~ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ~ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause36) ).
thf(126,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] :
( ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ssNder1_0
| ~ ( A @ ssNder1_1r1 )
| ~ ( B @ ( A @ ssNder1_2r1r1 ) )
| ~ ( C @ ( B @ ( A @ ssNder1_3r1r1r1 ) ) )
| ~ ( D @ ( C @ ( B @ ( A @ ssNder1_4r1r1r1r1 ) ) ) )
| ~ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_5r1r1r1r1r1 ) ) ) ) )
| ~ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_6r1r1r1r1r1r1 ) ) ) ) ) )
| ~ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_7r1r1r1r1r1r1r1 ) ) ) ) ) ) )
| ~ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
| ~ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_9r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) )
| ~ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_10r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) )
| ~ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ~ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[36]) ).
thf(188,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] :
( ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ssNder1_0
| ~ ( A @ ssNder1_1r1 )
| ~ ( B @ ( A @ ssNder1_2r1r1 ) )
| ~ ( C @ ( B @ ( A @ ssNder1_3r1r1r1 ) ) )
| ~ ( D @ ( C @ ( B @ ( A @ ssNder1_4r1r1r1r1 ) ) ) )
| ~ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_5r1r1r1r1r1 ) ) ) ) )
| ~ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_6r1r1r1r1r1r1 ) ) ) ) ) )
| ~ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_7r1r1r1r1r1r1r1 ) ) ) ) ) ) )
| ~ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
| ~ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_9r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) )
| ~ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_10r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) )
| ~ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ~ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[126]) ).
thf(787,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] :
( ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(rewrite,[status(thm)],[188,326,199,201,203,299,237,209,402,307,85,279,344,251,221]) ).
thf(788,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] :
( ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[787]) ).
thf(41,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] :
( ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ssNder1_0
| ~ ( A @ ssNder1_1r1 )
| ~ ( B @ ( A @ ssNder1_2r1r1 ) )
| ~ ( C @ ( B @ ( A @ ssNder1_3r1r1r1 ) ) )
| ~ ( D @ ( C @ ( B @ ( A @ ssNder1_4r1r1r1r1 ) ) ) )
| ~ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_5r1r1r1r1r1 ) ) ) ) )
| ~ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_6r1r1r1r1r1r1 ) ) ) ) ) )
| ~ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_7r1r1r1r1r1r1r1 ) ) ) ) ) ) )
| ~ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
| ~ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_9r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) )
| ~ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_10r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) )
| ~ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ~ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause41) ).
thf(95,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] :
( ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ssNder1_0
| ~ ( A @ ssNder1_1r1 )
| ~ ( B @ ( A @ ssNder1_2r1r1 ) )
| ~ ( C @ ( B @ ( A @ ssNder1_3r1r1r1 ) ) )
| ~ ( D @ ( C @ ( B @ ( A @ ssNder1_4r1r1r1r1 ) ) ) )
| ~ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_5r1r1r1r1r1 ) ) ) ) )
| ~ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_6r1r1r1r1r1r1 ) ) ) ) ) )
| ~ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_7r1r1r1r1r1r1r1 ) ) ) ) ) ) )
| ~ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
| ~ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_9r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) )
| ~ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_10r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) )
| ~ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ~ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[41]) ).
thf(136,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] :
( ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ssNder1_0
| ~ ( A @ ssNder1_1r1 )
| ~ ( B @ ( A @ ssNder1_2r1r1 ) )
| ~ ( C @ ( B @ ( A @ ssNder1_3r1r1r1 ) ) )
| ~ ( D @ ( C @ ( B @ ( A @ ssNder1_4r1r1r1r1 ) ) ) )
| ~ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_5r1r1r1r1r1 ) ) ) ) )
| ~ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_6r1r1r1r1r1r1 ) ) ) ) ) )
| ~ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_7r1r1r1r1r1r1r1 ) ) ) ) ) ) )
| ~ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
| ~ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_9r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) )
| ~ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_10r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) )
| ~ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ~ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[95]) ).
thf(272,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] :
( ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
| ~ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_9r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) )
| ~ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_10r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) )
| ~ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ~ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(rewrite,[status(thm)],[136,209,85,199,201,203,251,221,237]) ).
thf(273,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] :
( ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
| ~ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_9r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) )
| ~ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_10r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) )
| ~ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ~ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[272]) ).
thf(274,plain,
! [ZA: $i,Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,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] :
( ( ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_10r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) )
!= ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ssNder1_10r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ssNder1_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
| ~ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ssNder1_9r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) )
| ~ $true
| ~ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ~ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
| ~ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_9r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ),
inference(paramod_ordered,[status(thm)],[253,273]) ).
thf(275,plain,
! [ZA: $i,Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,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] :
( ( ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_10r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) )
!= ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ssNder1_10r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ssNder1_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
| ~ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ssNder1_9r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) )
| ~ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ~ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
| ~ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_9r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[274]) ).
thf(276,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: $i] :
( ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
| ~ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_9r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) )
| ~ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ~ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
| ~ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_9r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[275:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( C )),bind(D,$thf( D )),bind(E,$thf( E )),bind(F,$thf( F )),bind(G,$thf( G )),bind(H,$thf( H )),bind(I,$thf( I )),bind(J,$thf( J )),bind(K,$thf( A )),bind(L,$thf( B )),bind(M,$thf( C )),bind(N,$thf( D )),bind(O,$thf( E )),bind(P,$thf( F )),bind(Q,$thf( G )),bind(R,$thf( H )),bind(S,$thf( I )),bind(T,$thf( J ))]]) ).
thf(277,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] :
( ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ~ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
| ~ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_9r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[276]) ).
thf(288,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] :
( ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ~ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ $true
| ~ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_9r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ),
inference(rewrite,[status(thm)],[277,279]) ).
thf(289,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] :
( ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ~ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_9r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[288]) ).
thf(300,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] :
( ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ~ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(rewrite,[status(thm)],[289,299]) ).
thf(301,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] :
( ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ~ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[300]) ).
thf(333,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] :
( ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ $true
| ~ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(rewrite,[status(thm)],[301,326]) ).
thf(334,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] :
( ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[333]) ).
thf(373,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] :
( ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ $true
| ~ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(rewrite,[status(thm)],[334,344]) ).
thf(374,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] :
( ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[373]) ).
thf(419,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] :
( ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ $true
| ~ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(rewrite,[status(thm)],[374,402]) ).
thf(420,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] :
( ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[419]) ).
thf(45,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] :
( ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ssNder1_0
| ~ ( A @ ssNder1_1r1 )
| ~ ( B @ ( A @ ssNder1_2r1r1 ) )
| ~ ( C @ ( B @ ( A @ ssNder1_3r1r1r1 ) ) )
| ~ ( D @ ( C @ ( B @ ( A @ ssNder1_4r1r1r1r1 ) ) ) )
| ~ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_5r1r1r1r1r1 ) ) ) ) )
| ~ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_6r1r1r1r1r1r1 ) ) ) ) ) )
| ~ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_7r1r1r1r1r1r1r1 ) ) ) ) ) ) )
| ~ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
| ~ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_9r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) )
| ~ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_10r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) )
| ~ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ~ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause45) ).
thf(96,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] :
( ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ssNder1_0
| ~ ( A @ ssNder1_1r1 )
| ~ ( B @ ( A @ ssNder1_2r1r1 ) )
| ~ ( C @ ( B @ ( A @ ssNder1_3r1r1r1 ) ) )
| ~ ( D @ ( C @ ( B @ ( A @ ssNder1_4r1r1r1r1 ) ) ) )
| ~ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_5r1r1r1r1r1 ) ) ) ) )
| ~ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_6r1r1r1r1r1r1 ) ) ) ) ) )
| ~ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_7r1r1r1r1r1r1r1 ) ) ) ) ) ) )
| ~ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
| ~ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_9r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) )
| ~ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_10r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) )
| ~ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ~ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[45]) ).
thf(162,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] :
( ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ssNder1_0
| ~ ( A @ ssNder1_1r1 )
| ~ ( B @ ( A @ ssNder1_2r1r1 ) )
| ~ ( C @ ( B @ ( A @ ssNder1_3r1r1r1 ) ) )
| ~ ( D @ ( C @ ( B @ ( A @ ssNder1_4r1r1r1r1 ) ) ) )
| ~ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_5r1r1r1r1r1 ) ) ) ) )
| ~ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_6r1r1r1r1r1r1 ) ) ) ) ) )
| ~ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_7r1r1r1r1r1r1r1 ) ) ) ) ) ) )
| ~ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
| ~ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_9r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) )
| ~ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_10r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) )
| ~ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ~ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[96]) ).
thf(623,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] :
( ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(rewrite,[status(thm)],[162,326,199,201,203,299,237,209,402,307,85,279,344,251,221]) ).
thf(624,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] :
( ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[623]) ).
thf(631,plain,
! [ZI: $i,ZH: $i,ZG: $i,ZF: $i,ZE: $i,ZD: $i,ZC: $i,ZB: $i,ZA: $i,Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,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] :
( ( ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
!= ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ $true
| ~ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(paramod_ordered,[status(thm)],[420,624]) ).
thf(632,plain,
! [ZI: $i,ZH: $i,ZG: $i,ZF: $i,ZE: $i,ZD: $i,ZC: $i,ZB: $i,ZA: $i,Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,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] :
( ( ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
!= ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[631]) ).
thf(633,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: $i] :
( ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[632:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( C )),bind(D,$thf( D )),bind(E,$thf( E )),bind(F,$thf( F )),bind(G,$thf( G )),bind(H,$thf( H )),bind(I,$thf( I )),bind(J,$thf( J )),bind(K,$thf( K )),bind(L,$thf( L )),bind(M,$thf( M )),bind(N,$thf( N )),bind(O,$thf( O )),bind(P,$thf( P )),bind(Q,$thf( Q )),bind(R,$thf( A )),bind(S,$thf( B )),bind(T,$thf( C )),bind(U,$thf( D )),bind(V,$thf( E )),bind(W,$thf( F )),bind(X,$thf( G )),bind(Y,$thf( H )),bind(Z,$thf( I )),bind(ZA,$thf( J )),bind(ZB,$thf( K )),bind(ZC,$thf( L )),bind(ZD,$thf( M )),bind(ZE,$thf( N )),bind(ZF,$thf( O )),bind(ZG,$thf( P )),bind(ZH,$thf( Q ))]]) ).
thf(654,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] :
( ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[633]) ).
thf(792,plain,
! [ZH: $i,ZG: $i,ZF: $i,ZE: $i,ZD: $i,ZC: $i,ZB: $i,ZA: $i,Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,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] :
( ( ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
!= ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ $true
| ~ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(paramod_ordered,[status(thm)],[788,654]) ).
thf(793,plain,
! [ZH: $i,ZG: $i,ZF: $i,ZE: $i,ZD: $i,ZC: $i,ZB: $i,ZA: $i,Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,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] :
( ( ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
!= ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[792]) ).
thf(794,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: $i] :
( ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[793:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( C )),bind(D,$thf( D )),bind(E,$thf( E )),bind(F,$thf( F )),bind(G,$thf( G )),bind(H,$thf( H )),bind(I,$thf( I )),bind(J,$thf( J )),bind(K,$thf( K )),bind(L,$thf( L )),bind(M,$thf( M )),bind(N,$thf( N )),bind(O,$thf( O )),bind(P,$thf( P )),bind(Q,$thf( A )),bind(R,$thf( B )),bind(S,$thf( C )),bind(T,$thf( D )),bind(U,$thf( E )),bind(V,$thf( F )),bind(W,$thf( G )),bind(X,$thf( H )),bind(Y,$thf( I )),bind(Z,$thf( J )),bind(ZA,$thf( K )),bind(ZB,$thf( L )),bind(ZC,$thf( M )),bind(ZD,$thf( N )),bind(ZE,$thf( O )),bind(ZF,$thf( P ))]]) ).
thf(877,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] :
( ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[794]) ).
thf(1156,plain,
! [ZG: $i,ZF: $i,ZE: $i,ZD: $i,ZC: $i,ZB: $i,ZA: $i,Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,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] :
( ( ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
!= ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ $true
| ~ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(paramod_ordered,[status(thm)],[882,877]) ).
thf(1157,plain,
! [ZG: $i,ZF: $i,ZE: $i,ZD: $i,ZC: $i,ZB: $i,ZA: $i,Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,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] :
( ( ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
!= ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[1156]) ).
thf(1158,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: $i] :
( ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[1157:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( C )),bind(D,$thf( D )),bind(E,$thf( E )),bind(F,$thf( F )),bind(G,$thf( G )),bind(H,$thf( H )),bind(I,$thf( I )),bind(J,$thf( J )),bind(K,$thf( K )),bind(L,$thf( L )),bind(M,$thf( M )),bind(N,$thf( N )),bind(O,$thf( O )),bind(P,$thf( A )),bind(Q,$thf( B )),bind(R,$thf( C )),bind(S,$thf( D )),bind(T,$thf( E )),bind(U,$thf( F )),bind(V,$thf( G )),bind(W,$thf( H )),bind(X,$thf( I )),bind(Y,$thf( J )),bind(Z,$thf( K )),bind(ZA,$thf( L )),bind(ZB,$thf( M )),bind(ZC,$thf( N )),bind(ZD,$thf( O ))]]) ).
thf(1177,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] :
( ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[1158]) ).
thf(27,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] :
( ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ssNder1_0
| ~ ( A @ ssNder1_1r1 )
| ~ ( B @ ( A @ ssNder1_2r1r1 ) )
| ~ ( C @ ( B @ ( A @ ssNder1_3r1r1r1 ) ) )
| ~ ( D @ ( C @ ( B @ ( A @ ssNder1_4r1r1r1r1 ) ) ) )
| ~ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_5r1r1r1r1r1 ) ) ) ) )
| ~ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_6r1r1r1r1r1r1 ) ) ) ) ) )
| ~ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_7r1r1r1r1r1r1r1 ) ) ) ) ) ) )
| ~ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
| ~ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_9r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) )
| ~ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_10r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) )
| ~ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ~ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause27) ).
thf(104,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] :
( ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ssNder1_0
| ~ ( A @ ssNder1_1r1 )
| ~ ( B @ ( A @ ssNder1_2r1r1 ) )
| ~ ( C @ ( B @ ( A @ ssNder1_3r1r1r1 ) ) )
| ~ ( D @ ( C @ ( B @ ( A @ ssNder1_4r1r1r1r1 ) ) ) )
| ~ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_5r1r1r1r1r1 ) ) ) ) )
| ~ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_6r1r1r1r1r1r1 ) ) ) ) ) )
| ~ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_7r1r1r1r1r1r1r1 ) ) ) ) ) ) )
| ~ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
| ~ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_9r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) )
| ~ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_10r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) )
| ~ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ~ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[27]) ).
thf(183,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] :
( ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ssNder1_0
| ~ ( A @ ssNder1_1r1 )
| ~ ( B @ ( A @ ssNder1_2r1r1 ) )
| ~ ( C @ ( B @ ( A @ ssNder1_3r1r1r1 ) ) )
| ~ ( D @ ( C @ ( B @ ( A @ ssNder1_4r1r1r1r1 ) ) ) )
| ~ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_5r1r1r1r1r1 ) ) ) ) )
| ~ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_6r1r1r1r1r1r1 ) ) ) ) ) )
| ~ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_7r1r1r1r1r1r1r1 ) ) ) ) ) ) )
| ~ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
| ~ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_9r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) )
| ~ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_10r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) )
| ~ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ~ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[104]) ).
thf(1205,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] :
( ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true ),
inference(rewrite,[status(thm)],[183,326,199,201,203,299,237,209,402,307,85,279,344,251,221]) ).
thf(1206,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] : ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[1205]) ).
thf(1253,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] :
( ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(rewrite,[status(thm)],[1177,1206]) ).
thf(1254,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] : ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[1253]) ).
thf(898,plain,
! [ZE: $i,ZD: $i,ZC: $i,ZB: $i,ZA: $i,Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,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] :
( ( ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
!= ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ $true
| ~ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(paramod_ordered,[status(thm)],[882,788]) ).
thf(899,plain,
! [ZE: $i,ZD: $i,ZC: $i,ZB: $i,ZA: $i,Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,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] :
( ( ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
!= ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[898]) ).
thf(900,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: $i] :
( ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[899:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( C )),bind(D,$thf( D )),bind(E,$thf( E )),bind(F,$thf( F )),bind(G,$thf( G )),bind(H,$thf( H )),bind(I,$thf( I )),bind(J,$thf( J )),bind(K,$thf( K )),bind(L,$thf( L )),bind(M,$thf( M )),bind(N,$thf( N )),bind(O,$thf( O )),bind(P,$thf( A )),bind(Q,$thf( B )),bind(R,$thf( C )),bind(S,$thf( D )),bind(T,$thf( E )),bind(U,$thf( F )),bind(V,$thf( G )),bind(W,$thf( H )),bind(X,$thf( I )),bind(Y,$thf( J )),bind(Z,$thf( K )),bind(ZA,$thf( L )),bind(ZB,$thf( M )),bind(ZC,$thf( N )),bind(ZD,$thf( O ))]]) ).
thf(963,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] :
( ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[900]) ).
thf(1263,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] :
( ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(rewrite,[status(thm)],[963,1206]) ).
thf(1264,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] : ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[1263]) ).
thf(810,plain,
! [ZG: $i,ZF: $i,ZE: $i,ZD: $i,ZC: $i,ZB: $i,ZA: $i,Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,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] :
( ( ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
!= ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ $true
| ~ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(paramod_ordered,[status(thm)],[788,420]) ).
thf(811,plain,
! [ZG: $i,ZF: $i,ZE: $i,ZD: $i,ZC: $i,ZB: $i,ZA: $i,Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,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] :
( ( ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
!= ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[810]) ).
thf(812,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: $i] :
( ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[811:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( C )),bind(D,$thf( D )),bind(E,$thf( E )),bind(F,$thf( F )),bind(G,$thf( G )),bind(H,$thf( H )),bind(I,$thf( I )),bind(J,$thf( J )),bind(K,$thf( K )),bind(L,$thf( L )),bind(M,$thf( M )),bind(N,$thf( N )),bind(O,$thf( O )),bind(P,$thf( P )),bind(Q,$thf( A )),bind(R,$thf( B )),bind(S,$thf( C )),bind(T,$thf( D )),bind(U,$thf( E )),bind(V,$thf( F )),bind(W,$thf( G )),bind(X,$thf( H )),bind(Y,$thf( I )),bind(Z,$thf( J )),bind(ZA,$thf( K )),bind(ZB,$thf( L )),bind(ZC,$thf( M )),bind(ZD,$thf( N )),bind(ZE,$thf( O )),bind(ZF,$thf( P ))]]) ).
thf(866,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] :
( ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[812]) ).
thf(1082,plain,
! [ZF: $i,ZE: $i,ZD: $i,ZC: $i,ZB: $i,ZA: $i,Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,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] :
( ( ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
!= ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ $true
| ~ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(paramod_ordered,[status(thm)],[882,866]) ).
thf(1083,plain,
! [ZF: $i,ZE: $i,ZD: $i,ZC: $i,ZB: $i,ZA: $i,Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,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] :
( ( ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
!= ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[1082]) ).
thf(1084,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: $i] :
( ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[1083:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( C )),bind(D,$thf( D )),bind(E,$thf( E )),bind(F,$thf( F )),bind(G,$thf( G )),bind(H,$thf( H )),bind(I,$thf( I )),bind(J,$thf( J )),bind(K,$thf( K )),bind(L,$thf( L )),bind(M,$thf( M )),bind(N,$thf( N )),bind(O,$thf( O )),bind(P,$thf( A )),bind(Q,$thf( B )),bind(R,$thf( C )),bind(S,$thf( D )),bind(T,$thf( E )),bind(U,$thf( F )),bind(V,$thf( G )),bind(W,$thf( H )),bind(X,$thf( I )),bind(Y,$thf( J )),bind(Z,$thf( K )),bind(ZA,$thf( L )),bind(ZB,$thf( M )),bind(ZC,$thf( N )),bind(ZD,$thf( O ))]]) ).
thf(1101,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] :
( ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[1084]) ).
thf(1265,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] :
( ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(rewrite,[status(thm)],[1101,1206]) ).
thf(1266,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] : ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[1265]) ).
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] :
( ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ssNder1_0
| ~ ( A @ ssNder1_1r1 )
| ~ ( B @ ( A @ ssNder1_2r1r1 ) )
| ~ ( C @ ( B @ ( A @ ssNder1_3r1r1r1 ) ) )
| ~ ( D @ ( C @ ( B @ ( A @ ssNder1_4r1r1r1r1 ) ) ) )
| ~ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_5r1r1r1r1r1 ) ) ) ) )
| ~ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_6r1r1r1r1r1r1 ) ) ) ) ) )
| ~ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_7r1r1r1r1r1r1r1 ) ) ) ) ) ) )
| ~ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
| ~ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_9r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) )
| ~ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_10r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) )
| ~ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ~ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause49) ).
thf(107,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] :
( ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ssNder1_0
| ~ ( A @ ssNder1_1r1 )
| ~ ( B @ ( A @ ssNder1_2r1r1 ) )
| ~ ( C @ ( B @ ( A @ ssNder1_3r1r1r1 ) ) )
| ~ ( D @ ( C @ ( B @ ( A @ ssNder1_4r1r1r1r1 ) ) ) )
| ~ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_5r1r1r1r1r1 ) ) ) ) )
| ~ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_6r1r1r1r1r1r1 ) ) ) ) ) )
| ~ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_7r1r1r1r1r1r1r1 ) ) ) ) ) ) )
| ~ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
| ~ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_9r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) )
| ~ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_10r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) )
| ~ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ~ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[49]) ).
thf(187,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] :
( ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ssNder1_0
| ~ ( A @ ssNder1_1r1 )
| ~ ( B @ ( A @ ssNder1_2r1r1 ) )
| ~ ( C @ ( B @ ( A @ ssNder1_3r1r1r1 ) ) )
| ~ ( D @ ( C @ ( B @ ( A @ ssNder1_4r1r1r1r1 ) ) ) )
| ~ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_5r1r1r1r1r1 ) ) ) ) )
| ~ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_6r1r1r1r1r1r1 ) ) ) ) ) )
| ~ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_7r1r1r1r1r1r1r1 ) ) ) ) ) ) )
| ~ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
| ~ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_9r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) )
| ~ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_10r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) )
| ~ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ~ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[107]) ).
thf(527,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] :
( ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(rewrite,[status(thm)],[187,326,199,201,203,299,237,209,402,307,85,279,344,251,221]) ).
thf(528,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] :
( ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[527]) ).
thf(529,plain,
! [ZJ: $i,ZI: $i,ZH: $i,ZG: $i,ZF: $i,ZE: $i,ZD: $i,ZC: $i,ZB: $i,ZA: $i,Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,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] :
( ( ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
!= ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ $true
| ~ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(paramod_ordered,[status(thm)],[420,528]) ).
thf(530,plain,
! [ZJ: $i,ZI: $i,ZH: $i,ZG: $i,ZF: $i,ZE: $i,ZD: $i,ZC: $i,ZB: $i,ZA: $i,Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,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] :
( ( ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
!= ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[529]) ).
thf(531,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: $i] :
( ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[530:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( C )),bind(D,$thf( D )),bind(E,$thf( E )),bind(F,$thf( F )),bind(G,$thf( G )),bind(H,$thf( H )),bind(I,$thf( I )),bind(J,$thf( J )),bind(K,$thf( K )),bind(L,$thf( L )),bind(M,$thf( M )),bind(N,$thf( N )),bind(O,$thf( O )),bind(P,$thf( P )),bind(Q,$thf( Q )),bind(R,$thf( A )),bind(S,$thf( B )),bind(T,$thf( C )),bind(U,$thf( D )),bind(V,$thf( E )),bind(W,$thf( F )),bind(X,$thf( G )),bind(Y,$thf( H )),bind(Z,$thf( I )),bind(ZA,$thf( J )),bind(ZB,$thf( K )),bind(ZC,$thf( L )),bind(ZD,$thf( M )),bind(ZE,$thf( N )),bind(ZF,$thf( O )),bind(ZG,$thf( P )),bind(ZH,$thf( Q ))]]) ).
thf(535,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] :
( ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[531]) ).
thf(677,plain,
! [ZK: $i,ZJ: $i,ZI: $i,ZH: $i,ZG: $i,ZF: $i,ZE: $i,ZD: $i,ZC: $i,ZB: $i,ZA: $i,Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,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] :
( ( ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
!= ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ $true
| ~ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(paramod_ordered,[status(thm)],[654,535]) ).
thf(678,plain,
! [ZK: $i,ZJ: $i,ZI: $i,ZH: $i,ZG: $i,ZF: $i,ZE: $i,ZD: $i,ZC: $i,ZB: $i,ZA: $i,Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,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] :
( ( ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
!= ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[677]) ).
thf(679,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: $i] :
( ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[678:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( C )),bind(D,$thf( D )),bind(E,$thf( E )),bind(F,$thf( F )),bind(G,$thf( G )),bind(H,$thf( H )),bind(I,$thf( I )),bind(J,$thf( J )),bind(K,$thf( K )),bind(L,$thf( L )),bind(M,$thf( M )),bind(N,$thf( N )),bind(O,$thf( O )),bind(P,$thf( P )),bind(Q,$thf( Q )),bind(R,$thf( R )),bind(S,$thf( A )),bind(T,$thf( B )),bind(U,$thf( C )),bind(V,$thf( D )),bind(W,$thf( E )),bind(X,$thf( F )),bind(Y,$thf( G )),bind(Z,$thf( H )),bind(ZA,$thf( I )),bind(ZB,$thf( J )),bind(ZC,$thf( K )),bind(ZD,$thf( L )),bind(ZE,$thf( M )),bind(ZF,$thf( N )),bind(ZG,$thf( O )),bind(ZH,$thf( P )),bind(ZI,$thf( Q )),bind(ZJ,$thf( R ))]]) ).
thf(685,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] :
( ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[679]) ).
thf(840,plain,
! [ZI: $i,ZH: $i,ZG: $i,ZF: $i,ZE: $i,ZD: $i,ZC: $i,ZB: $i,ZA: $i,Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,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] :
( ( ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
!= ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ $true
| ~ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(paramod_ordered,[status(thm)],[788,685]) ).
thf(841,plain,
! [ZI: $i,ZH: $i,ZG: $i,ZF: $i,ZE: $i,ZD: $i,ZC: $i,ZB: $i,ZA: $i,Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,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] :
( ( ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
!= ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[840]) ).
thf(842,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: $i] :
( ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[841:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( C )),bind(D,$thf( D )),bind(E,$thf( E )),bind(F,$thf( F )),bind(G,$thf( G )),bind(H,$thf( H )),bind(I,$thf( I )),bind(J,$thf( J )),bind(K,$thf( K )),bind(L,$thf( L )),bind(M,$thf( M )),bind(N,$thf( N )),bind(O,$thf( O )),bind(P,$thf( P )),bind(Q,$thf( A )),bind(R,$thf( B )),bind(S,$thf( C )),bind(T,$thf( D )),bind(U,$thf( E )),bind(V,$thf( F )),bind(W,$thf( G )),bind(X,$thf( H )),bind(Y,$thf( I )),bind(Z,$thf( J )),bind(ZA,$thf( K )),bind(ZB,$thf( L )),bind(ZC,$thf( M )),bind(ZD,$thf( N )),bind(ZE,$thf( O )),bind(ZF,$thf( P ))]]) ).
thf(865,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] :
( ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[842]) ).
thf(1213,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] :
( ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(rewrite,[status(thm)],[882,1206]) ).
thf(1214,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] : ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[1213]) ).
thf(1305,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] :
( ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ $true
| ~ $true ),
inference(rewrite,[status(thm)],[865,1206,1214]) ).
thf(1306,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] : ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[1305]) ).
thf(1381,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] :
( ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv11_10r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) )
| ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv14_7r1r1r1r1r1r1r1 ) ) ) ) ) ) )
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true ),
inference(rewrite,[status(thm)],[168,326,1254,199,201,203,299,237,1264,209,402,1266,307,85,1206,279,344,1306,251,221,1214]) ).
thf(1382,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] :
( ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv11_10r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) )
| ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv14_7r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[1381]) ).
thf(1383,plain,
! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,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] :
( ( ( skc26 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv14_7r1r1r1r1r1r1r1 ) ) ) ) ) ) )
!= ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ssPv14_7r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
| ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ssPv11_10r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) )
| ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ssPv1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[245,1382]) ).
thf(1384,plain,
! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,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] :
( ( ( skc26 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv14_7r1r1r1r1r1r1r1 ) ) ) ) ) ) )
!= ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ssPv14_7r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
| ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ssPv11_10r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) )
| ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ssPv1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[1383]) ).
thf(1385,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: $i] :
( ( I @ ( H @ ( G @ ( skc26 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv11_10r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) )
| ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( skc26 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( skc26 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[1384:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( C )),bind(D,$thf( D )),bind(E,$thf( E )),bind(F,$thf( F )),bind(G,$thf( A )),bind(H,$thf( B )),bind(I,$thf( C )),bind(J,$thf( D )),bind(K,$thf( E )),bind(L,$thf( F )),bind(M,$thf( skc26 ))]]) ).
thf(1392,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] :
( ( I @ ( H @ ( G @ ( skc26 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv11_10r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) )
| ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( skc26 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( skc26 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[1385]) ).
thf(31,negated_conjecture,
! [M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ssNder1_0
| ~ ( A @ ssNder1_1r1 )
| ~ ( A @ ssPv20_1r1 )
| ~ ( B @ ( A @ ssNder1_2r1r1 ) )
| ~ ( C @ ( B @ ( A @ ssNder1_3r1r1r1 ) ) )
| ~ ( D @ ( C @ ( B @ ( A @ ssNder1_4r1r1r1r1 ) ) ) )
| ~ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_5r1r1r1r1r1 ) ) ) ) )
| ~ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_6r1r1r1r1r1r1 ) ) ) ) ) )
| ~ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_7r1r1r1r1r1r1r1 ) ) ) ) ) ) )
| ~ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv14_7r1r1r1r1r1r1r1 ) ) ) ) ) ) )
| ~ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
| ~ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_9r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) )
| ~ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_10r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) )
| ~ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv11_10r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) )
| ~ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ~ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause31) ).
thf(117,plain,
! [M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ssNder1_0
| ~ ( A @ ssNder1_1r1 )
| ~ ( A @ ssPv20_1r1 )
| ~ ( B @ ( A @ ssNder1_2r1r1 ) )
| ~ ( C @ ( B @ ( A @ ssNder1_3r1r1r1 ) ) )
| ~ ( D @ ( C @ ( B @ ( A @ ssNder1_4r1r1r1r1 ) ) ) )
| ~ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_5r1r1r1r1r1 ) ) ) ) )
| ~ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_6r1r1r1r1r1r1 ) ) ) ) ) )
| ~ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_7r1r1r1r1r1r1r1 ) ) ) ) ) ) )
| ~ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv14_7r1r1r1r1r1r1r1 ) ) ) ) ) ) )
| ~ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
| ~ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_9r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) )
| ~ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_10r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) )
| ~ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv11_10r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) )
| ~ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ~ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[31]) ).
thf(155,plain,
! [M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ssNder1_0
| ~ ( A @ ssNder1_1r1 )
| ~ ( A @ ssPv20_1r1 )
| ~ ( B @ ( A @ ssNder1_2r1r1 ) )
| ~ ( C @ ( B @ ( A @ ssNder1_3r1r1r1 ) ) )
| ~ ( D @ ( C @ ( B @ ( A @ ssNder1_4r1r1r1r1 ) ) ) )
| ~ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_5r1r1r1r1r1 ) ) ) ) )
| ~ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_6r1r1r1r1r1r1 ) ) ) ) ) )
| ~ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_7r1r1r1r1r1r1r1 ) ) ) ) ) ) )
| ~ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv14_7r1r1r1r1r1r1r1 ) ) ) ) ) ) )
| ~ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
| ~ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_9r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) )
| ~ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_10r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) )
| ~ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv11_10r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) )
| ~ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ~ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[117]) ).
thf(712,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] :
( ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ $true
| ~ $true
| ~ ( A @ ssPv20_1r1 )
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv14_7r1r1r1r1r1r1r1 ) ) ) ) ) ) )
| ~ $true
| ~ $true
| ~ $true
| ~ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv11_10r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) )
| ~ $true
| ~ $true ),
inference(rewrite,[status(thm)],[155,326,199,201,203,299,237,209,307,85,279,344,251,221]) ).
thf(713,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] :
( ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( A @ ssPv20_1r1 )
| ~ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv14_7r1r1r1r1r1r1r1 ) ) ) ) ) ) )
| ~ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv11_10r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[712]) ).
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_0
| ~ ( A @ ssNder1_1r1 )
| ~ ( B @ ( A @ ssNder1_2r1r1 ) )
| ~ ( C @ ( B @ ( A @ ssNder1_3r1r1r1 ) ) )
| ~ ( D @ ( C @ ( B @ ( A @ ssNder1_4r1r1r1r1 ) ) ) )
| ~ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_5r1r1r1r1r1 ) ) ) ) )
| ~ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_6r1r1r1r1r1r1 ) ) ) ) ) )
| ~ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_7r1r1r1r1r1r1r1 ) ) ) ) ) ) )
| ~ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
| ~ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_9r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) )
| ~ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_10r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) )
| ~ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ~ ( skc23 @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause23) ).
thf(123,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_0
| ~ ( A @ ssNder1_1r1 )
| ~ ( B @ ( A @ ssNder1_2r1r1 ) )
| ~ ( C @ ( B @ ( A @ ssNder1_3r1r1r1 ) ) )
| ~ ( D @ ( C @ ( B @ ( A @ ssNder1_4r1r1r1r1 ) ) ) )
| ~ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_5r1r1r1r1r1 ) ) ) ) )
| ~ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_6r1r1r1r1r1r1 ) ) ) ) ) )
| ~ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_7r1r1r1r1r1r1r1 ) ) ) ) ) ) )
| ~ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
| ~ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_9r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) )
| ~ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_10r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) )
| ~ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ~ ( skc23 @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).
thf(178,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_0
| ~ ( A @ ssNder1_1r1 )
| ~ ( B @ ( A @ ssNder1_2r1r1 ) )
| ~ ( C @ ( B @ ( A @ ssNder1_3r1r1r1 ) ) )
| ~ ( D @ ( C @ ( B @ ( A @ ssNder1_4r1r1r1r1 ) ) ) )
| ~ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_5r1r1r1r1r1 ) ) ) ) )
| ~ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_6r1r1r1r1r1r1 ) ) ) ) ) )
| ~ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_7r1r1r1r1r1r1r1 ) ) ) ) ) ) )
| ~ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
| ~ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_9r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) )
| ~ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_10r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) )
| ~ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ~ ( skc23 @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[123]) ).
thf(254,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] :
( ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
| ~ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_9r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) )
| ~ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_10r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) )
| ~ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ~ ( skc23 @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(rewrite,[status(thm)],[178,209,85,199,201,203,251,221,237]) ).
thf(255,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] :
( ~ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
| ~ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_9r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) )
| ~ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_10r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) )
| ~ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ~ ( skc23 @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[254]) ).
thf(256,plain,
! [V: $i,U: $i,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] :
( ( ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_10r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) )
!= ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ssNder1_10r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ~ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ssNder1_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
| ~ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ssNder1_9r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) )
| ~ $true
| ~ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ~ ( skc23 @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
| ~ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_9r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ),
inference(paramod_ordered,[status(thm)],[253,255]) ).
thf(257,plain,
! [V: $i,U: $i,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] :
( ( ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_10r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) )
!= ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ssNder1_10r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ~ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ssNder1_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
| ~ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ssNder1_9r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) )
| ~ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ~ ( skc23 @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
| ~ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_9r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[256]) ).
thf(258,plain,
! [L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
| ~ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_9r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) )
| ~ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ~ ( skc23 @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
| ~ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_9r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[257:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( C )),bind(D,$thf( D )),bind(E,$thf( E )),bind(F,$thf( F )),bind(G,$thf( G )),bind(H,$thf( H )),bind(I,$thf( I )),bind(J,$thf( J )),bind(K,$thf( A )),bind(L,$thf( B )),bind(M,$thf( C )),bind(N,$thf( D )),bind(O,$thf( E )),bind(P,$thf( F )),bind(Q,$thf( G )),bind(R,$thf( H )),bind(S,$thf( I )),bind(T,$thf( J ))]]) ).
thf(259,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] :
( ~ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ~ ( skc23 @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
| ~ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_9r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[258]) ).
thf(282,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] :
( ~ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ~ ( skc23 @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ $true
| ~ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_9r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ),
inference(rewrite,[status(thm)],[259,279]) ).
thf(283,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] :
( ~ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ~ ( skc23 @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_9r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[282]) ).
thf(308,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] :
( ~ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ~ ( skc23 @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(rewrite,[status(thm)],[283,299]) ).
thf(309,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] :
( ~ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ~ ( skc23 @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[308]) ).
thf(331,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] :
( ~ $true
| ~ ( skc23 @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(rewrite,[status(thm)],[309,326]) ).
thf(332,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] :
~ ( skc23 @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[331]) ).
thf(723,plain,
! [Y: $i,X: $i,W: $i,V: $i,U: $i,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] :
( ( ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) )
!= ( skc23 @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ $true
| ~ ( A @ ssPv20_1r1 )
| ~ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv14_7r1r1r1r1r1r1r1 ) ) ) ) ) ) )
| ~ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv11_10r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ),
inference(paramod_ordered,[status(thm)],[713,332]) ).
thf(724,plain,
! [Y: $i,X: $i,W: $i,V: $i,U: $i,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] :
( ( ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) )
!= ( skc23 @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( A @ ssPv20_1r1 )
| ~ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv14_7r1r1r1r1r1r1r1 ) ) ) ) ) ) )
| ~ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv11_10r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[723]) ).
thf(725,plain,
! [J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( A @ ssPv20_1r1 )
| ~ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv14_7r1r1r1r1r1r1r1 ) ) ) ) ) ) )
| ~ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv11_10r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[724:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( C )),bind(D,$thf( D )),bind(E,$thf( E )),bind(F,$thf( F )),bind(G,$thf( G )),bind(H,$thf( H )),bind(I,$thf( I )),bind(J,$thf( J )),bind(K,$thf( K )),bind(L,$thf( L )),bind(M,$thf( skc23 )),bind(N,$thf( A )),bind(O,$thf( B )),bind(P,$thf( C )),bind(Q,$thf( D )),bind(R,$thf( E )),bind(S,$thf( F )),bind(T,$thf( G )),bind(U,$thf( H )),bind(V,$thf( I )),bind(W,$thf( J )),bind(X,$thf( K )),bind(Y,$thf( L ))]]) ).
thf(729,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] :
( ( ( skc26 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv14_7r1r1r1r1r1r1r1 ) ) ) ) ) ) )
!= ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ssPv14_7r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
| ~ ( G @ ssPv20_1r1 )
| ~ $true
| ~ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ssPv11_10r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ),
inference(paramod_ordered,[status(thm)],[245,725]) ).
thf(730,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] :
( ( ( skc26 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv14_7r1r1r1r1r1r1r1 ) ) ) ) ) ) )
!= ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ssPv14_7r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
| ~ ( G @ ssPv20_1r1 )
| ~ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ssPv11_10r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[729]) ).
thf(731,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( A @ ssPv20_1r1 )
| ~ ( I @ ( H @ ( G @ ( skc26 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv11_10r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[730:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( C )),bind(D,$thf( D )),bind(E,$thf( E )),bind(F,$thf( F )),bind(G,$thf( A )),bind(H,$thf( B )),bind(I,$thf( C )),bind(J,$thf( D )),bind(K,$thf( E )),bind(L,$thf( F )),bind(M,$thf( skc26 ))]]) ).
thf(732,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( A @ ssPv20_1r1 )
| ~ ( I @ ( H @ ( G @ ( skc26 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv11_10r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[731]) ).
thf(57,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] :
( ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv13_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
| ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv4_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv2_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ssNder1_0
| ~ ( A @ ssNder1_1r1 )
| ~ ( B @ ( A @ ssNder1_2r1r1 ) )
| ~ ( C @ ( B @ ( A @ ssNder1_3r1r1r1 ) ) )
| ~ ( D @ ( C @ ( B @ ( A @ ssNder1_4r1r1r1r1 ) ) ) )
| ~ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_5r1r1r1r1r1 ) ) ) ) )
| ~ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_6r1r1r1r1r1r1 ) ) ) ) ) )
| ~ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_7r1r1r1r1r1r1r1 ) ) ) ) ) ) )
| ~ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv14_7r1r1r1r1r1r1r1 ) ) ) ) ) ) )
| ~ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
| ~ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_9r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) )
| ~ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_10r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) )
| ~ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ~ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause57) ).
thf(82,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] :
( ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv13_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
| ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv4_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv2_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ssNder1_0
| ~ ( A @ ssNder1_1r1 )
| ~ ( B @ ( A @ ssNder1_2r1r1 ) )
| ~ ( C @ ( B @ ( A @ ssNder1_3r1r1r1 ) ) )
| ~ ( D @ ( C @ ( B @ ( A @ ssNder1_4r1r1r1r1 ) ) ) )
| ~ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_5r1r1r1r1r1 ) ) ) ) )
| ~ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_6r1r1r1r1r1r1 ) ) ) ) ) )
| ~ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_7r1r1r1r1r1r1r1 ) ) ) ) ) ) )
| ~ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv14_7r1r1r1r1r1r1r1 ) ) ) ) ) ) )
| ~ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
| ~ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_9r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) )
| ~ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_10r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) )
| ~ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ~ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[57]) ).
thf(186,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] :
( ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv13_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
| ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv4_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv2_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ssNder1_0
| ~ ( A @ ssNder1_1r1 )
| ~ ( B @ ( A @ ssNder1_2r1r1 ) )
| ~ ( C @ ( B @ ( A @ ssNder1_3r1r1r1 ) ) )
| ~ ( D @ ( C @ ( B @ ( A @ ssNder1_4r1r1r1r1 ) ) ) )
| ~ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_5r1r1r1r1r1 ) ) ) ) )
| ~ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_6r1r1r1r1r1r1 ) ) ) ) ) )
| ~ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_7r1r1r1r1r1r1r1 ) ) ) ) ) ) )
| ~ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv14_7r1r1r1r1r1r1r1 ) ) ) ) ) ) )
| ~ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
| ~ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_9r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) )
| ~ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_10r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) )
| ~ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ~ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[82]) ).
thf(1523,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] :
( ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv13_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
| ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv4_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv2_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv14_7r1r1r1r1r1r1r1 ) ) ) ) ) ) )
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true ),
inference(rewrite,[status(thm)],[186,326,1254,199,201,203,299,237,1264,209,402,1266,307,85,1206,279,344,251,221,1214]) ).
thf(1524,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] :
( ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv13_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
| ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv4_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv2_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv14_7r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[1523]) ).
thf(1528,plain,
! [Y: $i,X: $i,W: $i,V: $i,U: $i,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] :
( ( ( skc26 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv14_7r1r1r1r1r1r1r1 ) ) ) ) ) ) )
!= ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ssPv14_7r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
| ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ssPv13_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
| ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ssPv4_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ssPv2_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[245,1524]) ).
thf(1529,plain,
! [Y: $i,X: $i,W: $i,V: $i,U: $i,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] :
( ( ( skc26 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv14_7r1r1r1r1r1r1r1 ) ) ) ) ) ) )
!= ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ssPv14_7r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
| ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ssPv13_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
| ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ssPv4_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ssPv2_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[1528]) ).
thf(1530,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: $i] :
( ( G @ ( skc26 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv13_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
| ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( skc26 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv4_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( skc26 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv2_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[1529:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( C )),bind(D,$thf( D )),bind(E,$thf( E )),bind(F,$thf( F )),bind(G,$thf( A )),bind(H,$thf( B )),bind(I,$thf( C )),bind(J,$thf( D )),bind(K,$thf( E )),bind(L,$thf( F )),bind(M,$thf( skc26 ))]]) ).
thf(1535,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] :
( ( G @ ( skc26 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv13_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
| ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( skc26 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv4_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( skc26 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv2_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[1530]) ).
thf(25,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] :
( ( skc20 @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ssNder1_0
| ~ ( A @ ssNder1_1r1 )
| ~ ( B @ ( A @ ssNder1_2r1r1 ) )
| ~ ( C @ ( B @ ( A @ ssNder1_3r1r1r1 ) ) )
| ~ ( D @ ( C @ ( B @ ( A @ ssNder1_4r1r1r1r1 ) ) ) )
| ~ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_5r1r1r1r1r1 ) ) ) ) )
| ~ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_6r1r1r1r1r1r1 ) ) ) ) ) )
| ~ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_7r1r1r1r1r1r1r1 ) ) ) ) ) ) )
| ~ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
| ~ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_9r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) )
| ~ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_10r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) )
| ~ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ~ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause25) ).
thf(77,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] :
( ( skc20 @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ssNder1_0
| ~ ( A @ ssNder1_1r1 )
| ~ ( B @ ( A @ ssNder1_2r1r1 ) )
| ~ ( C @ ( B @ ( A @ ssNder1_3r1r1r1 ) ) )
| ~ ( D @ ( C @ ( B @ ( A @ ssNder1_4r1r1r1r1 ) ) ) )
| ~ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_5r1r1r1r1r1 ) ) ) ) )
| ~ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_6r1r1r1r1r1r1 ) ) ) ) ) )
| ~ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_7r1r1r1r1r1r1r1 ) ) ) ) ) ) )
| ~ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
| ~ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_9r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) )
| ~ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_10r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) )
| ~ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ~ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).
thf(161,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] :
( ( skc20 @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ssNder1_0
| ~ ( A @ ssNder1_1r1 )
| ~ ( B @ ( A @ ssNder1_2r1r1 ) )
| ~ ( C @ ( B @ ( A @ ssNder1_3r1r1r1 ) ) )
| ~ ( D @ ( C @ ( B @ ( A @ ssNder1_4r1r1r1r1 ) ) ) )
| ~ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_5r1r1r1r1r1 ) ) ) ) )
| ~ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_6r1r1r1r1r1r1 ) ) ) ) ) )
| ~ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_7r1r1r1r1r1r1r1 ) ) ) ) ) ) )
| ~ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
| ~ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_9r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) )
| ~ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_10r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) )
| ~ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ~ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[77]) ).
thf(449,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] :
( ( skc20 @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true ),
inference(rewrite,[status(thm)],[161,326,199,201,203,299,237,209,307,85,279,344,251,221]) ).
thf(450,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] : ( skc20 @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[449]) ).
thf(6,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ( skc30 @ ( D @ ( C @ ( B @ ( A @ ssPv16_5r1r1r1r1r1 ) ) ) ) )
| ~ ssNder1_0
| ~ ( A @ ssNder1_1r1 )
| ~ ( B @ ( A @ ssNder1_2r1r1 ) )
| ~ ( C @ ( B @ ( A @ ssNder1_3r1r1r1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause6) ).
thf(86,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( skc30 @ ( D @ ( C @ ( B @ ( A @ ssPv16_5r1r1r1r1r1 ) ) ) ) )
| ~ ssNder1_0
| ~ ( A @ ssNder1_1r1 )
| ~ ( B @ ( A @ ssNder1_2r1r1 ) )
| ~ ( C @ ( B @ ( A @ ssNder1_3r1r1r1 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(167,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( skc30 @ ( D @ ( C @ ( B @ ( A @ ssPv16_5r1r1r1r1r1 ) ) ) ) )
| ~ ssNder1_0
| ~ ( A @ ssNder1_1r1 )
| ~ ( B @ ( A @ ssNder1_2r1r1 ) )
| ~ ( C @ ( B @ ( A @ ssNder1_3r1r1r1 ) ) ) ),
inference(cnf,[status(esa)],[86]) ).
thf(212,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( skc30 @ ( D @ ( C @ ( B @ ( A @ ssPv16_5r1r1r1r1r1 ) ) ) ) )
| ~ $true
| ~ $true
| ~ $true
| ~ $true ),
inference(rewrite,[status(thm)],[167,85,199,201,203]) ).
thf(213,plain,
! [D: $i,C: $i,B: $i,A: $i] : ( skc30 @ ( D @ ( C @ ( B @ ( A @ ssPv16_5r1r1r1r1r1 ) ) ) ) ),
inference(simp,[status(thm)],[212]) ).
thf(56,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] :
( ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv10_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ~ ssNder1_0
| ~ ( A @ ssNder1_1r1 )
| ~ ( B @ ( A @ ssNder1_2r1r1 ) )
| ~ ( C @ ( B @ ( A @ ssNder1_3r1r1r1 ) ) )
| ~ ( D @ ( C @ ( B @ ( A @ ssNder1_4r1r1r1r1 ) ) ) )
| ~ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_5r1r1r1r1r1 ) ) ) ) )
| ~ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv16_5r1r1r1r1r1 ) ) ) ) )
| ~ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_6r1r1r1r1r1r1 ) ) ) ) ) )
| ~ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_7r1r1r1r1r1r1r1 ) ) ) ) ) ) )
| ~ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
| ~ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_9r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) )
| ~ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_10r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) )
| ~ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ~ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv2_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause56) ).
thf(73,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] :
( ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv10_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ~ ssNder1_0
| ~ ( A @ ssNder1_1r1 )
| ~ ( B @ ( A @ ssNder1_2r1r1 ) )
| ~ ( C @ ( B @ ( A @ ssNder1_3r1r1r1 ) ) )
| ~ ( D @ ( C @ ( B @ ( A @ ssNder1_4r1r1r1r1 ) ) ) )
| ~ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_5r1r1r1r1r1 ) ) ) ) )
| ~ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv16_5r1r1r1r1r1 ) ) ) ) )
| ~ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_6r1r1r1r1r1r1 ) ) ) ) ) )
| ~ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_7r1r1r1r1r1r1r1 ) ) ) ) ) ) )
| ~ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
| ~ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_9r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) )
| ~ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_10r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) )
| ~ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ~ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv2_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[56]) ).
thf(163,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] :
( ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv10_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ~ ssNder1_0
| ~ ( A @ ssNder1_1r1 )
| ~ ( B @ ( A @ ssNder1_2r1r1 ) )
| ~ ( C @ ( B @ ( A @ ssNder1_3r1r1r1 ) ) )
| ~ ( D @ ( C @ ( B @ ( A @ ssNder1_4r1r1r1r1 ) ) ) )
| ~ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_5r1r1r1r1r1 ) ) ) ) )
| ~ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv16_5r1r1r1r1r1 ) ) ) ) )
| ~ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_6r1r1r1r1r1r1 ) ) ) ) ) )
| ~ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_7r1r1r1r1r1r1r1 ) ) ) ) ) ) )
| ~ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
| ~ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_9r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) )
| ~ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_10r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) )
| ~ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ~ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv2_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[73]) ).
thf(435,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] :
( ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv10_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv16_5r1r1r1r1r1 ) ) ) ) )
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv2_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(rewrite,[status(thm)],[163,326,199,201,203,299,237,209,402,307,85,279,344,251,221]) ).
thf(436,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] :
( ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv10_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ~ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv16_5r1r1r1r1r1 ) ) ) ) )
| ~ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv2_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[435]) ).
thf(437,plain,
! [W: $i,V: $i,U: $i,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] :
( ( ( skc30 @ ( D @ ( C @ ( B @ ( A @ ssPv16_5r1r1r1r1r1 ) ) ) ) )
!= ( I @ ( H @ ( G @ ( F @ ( E @ ssPv16_5r1r1r1r1r1 ) ) ) ) ) )
| ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ssPv10_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ~ $true
| ~ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ssPv2_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(paramod_ordered,[status(thm)],[213,436]) ).
thf(438,plain,
! [W: $i,V: $i,U: $i,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] :
( ( ( skc30 @ ( D @ ( C @ ( B @ ( A @ ssPv16_5r1r1r1r1r1 ) ) ) ) )
!= ( I @ ( H @ ( G @ ( F @ ( E @ ssPv16_5r1r1r1r1r1 ) ) ) ) ) )
| ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ssPv10_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ~ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ssPv2_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[437]) ).
thf(439,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: $i] :
( ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( skc30 @ ( D @ ( C @ ( B @ ( A @ ssPv10_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ~ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( skc30 @ ( D @ ( C @ ( B @ ( A @ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( skc30 @ ( D @ ( C @ ( B @ ( A @ ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( skc30 @ ( D @ ( C @ ( B @ ( A @ ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( skc30 @ ( D @ ( C @ ( B @ ( A @ ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( skc30 @ ( D @ ( C @ ( B @ ( A @ ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( skc30 @ ( D @ ( C @ ( B @ ( A @ ssPv2_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( skc30 @ ( D @ ( C @ ( B @ ( A @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[438:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( C )),bind(D,$thf( D )),bind(E,$thf( A )),bind(F,$thf( B )),bind(G,$thf( C )),bind(H,$thf( D )),bind(I,$thf( skc30 ))]]) ).
thf(440,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] :
( ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( skc30 @ ( D @ ( C @ ( B @ ( A @ ssPv10_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ~ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( skc30 @ ( D @ ( C @ ( B @ ( A @ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( skc30 @ ( D @ ( C @ ( B @ ( A @ ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( skc30 @ ( D @ ( C @ ( B @ ( A @ ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( skc30 @ ( D @ ( C @ ( B @ ( A @ ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( skc30 @ ( D @ ( C @ ( B @ ( A @ ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( skc30 @ ( D @ ( C @ ( B @ ( A @ ssPv2_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( skc30 @ ( D @ ( C @ ( B @ ( A @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[439]) ).
thf(1760,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] :
( ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( skc30 @ ( D @ ( C @ ( B @ ( A @ ssPv10_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ~ $true
| ~ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( skc30 @ ( D @ ( C @ ( B @ ( A @ ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ $true
| ~ $true
| ~ $true
| ~ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( skc30 @ ( D @ ( C @ ( B @ ( A @ ssPv2_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(rewrite,[status(thm)],[440,1264,1266,1206,1254,1214]) ).
thf(1761,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] :
( ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( skc30 @ ( D @ ( C @ ( B @ ( A @ ssPv10_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ~ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( skc30 @ ( D @ ( C @ ( B @ ( A @ ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( skc30 @ ( D @ ( C @ ( B @ ( A @ ssPv2_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[1760]) ).
thf(1774,plain,
! [ZE: $i,ZD: $i,ZC: $i,ZB: $i,ZA: $i,Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,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] :
( ( ( skc20 @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) )
!= ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( skc30 @ ( Q @ ( P @ ( O @ ( N @ ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( skc30 @ ( Q @ ( P @ ( O @ ( N @ ssPv10_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ~ $true
| ~ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( skc30 @ ( Q @ ( P @ ( O @ ( N @ ssPv2_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(paramod_ordered,[status(thm)],[450,1761]) ).
thf(1775,plain,
! [ZE: $i,ZD: $i,ZC: $i,ZB: $i,ZA: $i,Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,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] :
( ( ( skc20 @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) )
!= ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( skc30 @ ( Q @ ( P @ ( O @ ( N @ ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( skc30 @ ( Q @ ( P @ ( O @ ( N @ ssPv10_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( skc30 @ ( Q @ ( P @ ( O @ ( N @ ssPv2_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[1774]) ).
thf(1776,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: $i] :
( ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( skc30 @ ( D @ ( C @ ( B @ ( A @ ssPv10_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ~ ( Q @ ( P @ ( O @ ( N @ ( M @ ( skc20 @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( skc30 @ ( D @ ( C @ ( B @ ( A @ ssPv2_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[1775:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( C )),bind(D,$thf( D )),bind(E,$thf( skc30 )),bind(F,$thf( F )),bind(G,$thf( G )),bind(H,$thf( H )),bind(I,$thf( I )),bind(J,$thf( J )),bind(K,$thf( K )),bind(L,$thf( L )),bind(M,$thf( M )),bind(N,$thf( A )),bind(O,$thf( B )),bind(P,$thf( C )),bind(Q,$thf( D )),bind(R,$thf( F )),bind(S,$thf( G )),bind(T,$thf( H )),bind(U,$thf( I )),bind(V,$thf( J )),bind(W,$thf( K )),bind(X,$thf( L )),bind(Y,$thf( M )),bind(Z,$thf( skc20 ))]]) ).
thf(1783,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] :
( ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( skc30 @ ( D @ ( C @ ( B @ ( A @ ssPv10_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ~ ( Q @ ( P @ ( O @ ( N @ ( M @ ( skc20 @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( skc30 @ ( D @ ( C @ ( B @ ( A @ ssPv2_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[1776]) ).
thf(1793,plain,
! [ZI: $i,ZH: $i,ZG: $i,ZF: $i,ZE: $i,ZD: $i,ZC: $i,ZB: $i,ZA: $i,Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,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] :
( ( ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( skc26 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv2_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
!= ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( skc20 @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( skc30 @ ( V @ ( U @ ( T @ ( S @ ssPv2_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( skc30 @ ( V @ ( U @ ( T @ ( S @ ssPv10_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ~ $true
| ( G @ ( skc26 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv13_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
| ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( skc26 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv4_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(paramod_ordered,[status(thm)],[1535,1783]) ).
thf(1794,plain,
! [ZI: $i,ZH: $i,ZG: $i,ZF: $i,ZE: $i,ZD: $i,ZC: $i,ZB: $i,ZA: $i,Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,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] :
( ( ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( skc26 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv2_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
!= ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( skc20 @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( skc30 @ ( V @ ( U @ ( T @ ( S @ ssPv2_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( skc30 @ ( V @ ( U @ ( T @ ( S @ ssPv10_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ( G @ ( skc26 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv13_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
| ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( skc26 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv4_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[1793]) ).
thf(1795,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: $i] :
( ( I @ ( H @ ( G @ ( F @ ( skc26 @ ( E @ ( skc30 @ ( D @ ( C @ ( B @ ( A @ ssPv10_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ( F @ ( skc26 @ ( E @ ( skc30 @ ( D @ ( C @ ( B @ ( A @ ssPv13_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
| ( N @ ( M @ ( L @ ( skc20 @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( skc26 @ ( E @ ( skc30 @ ( D @ ( C @ ( B @ ( A @ ssPv4_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[1794:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( C )),bind(D,$thf( D )),bind(E,$thf( skc30 )),bind(F,$thf( F )),bind(G,$thf( G )),bind(H,$thf( H )),bind(I,$thf( I )),bind(J,$thf( J )),bind(K,$thf( K )),bind(L,$thf( L )),bind(M,$thf( skc20 )),bind(N,$thf( N )),bind(O,$thf( O )),bind(P,$thf( P )),bind(Q,$thf( Q )),bind(R,$thf( R )),bind(S,$thf( A )),bind(T,$thf( B )),bind(U,$thf( C )),bind(V,$thf( D )),bind(W,$thf( F )),bind(X,$thf( skc26 )),bind(Y,$thf( G )),bind(Z,$thf( H )),bind(ZA,$thf( I )),bind(ZB,$thf( J )),bind(ZC,$thf( K )),bind(ZD,$thf( L )),bind(ZE,$thf( N )),bind(ZF,$thf( O )),bind(ZG,$thf( P )),bind(ZH,$thf( Q )),bind(ZI,$thf( R ))]]) ).
thf(1809,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] :
( ( I @ ( H @ ( G @ ( F @ ( skc26 @ ( E @ ( skc30 @ ( D @ ( C @ ( B @ ( A @ ssPv10_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ( F @ ( skc26 @ ( E @ ( skc30 @ ( D @ ( C @ ( B @ ( A @ ssPv13_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
| ( N @ ( M @ ( L @ ( skc20 @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( skc26 @ ( E @ ( skc30 @ ( D @ ( C @ ( B @ ( A @ ssPv4_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[1795]) ).
thf(44,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] :
( ( A @ ssPv20_1r1 )
| ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv13_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
| ~ ssNder1_0
| ~ ( A @ ssNder1_1r1 )
| ~ ( B @ ( A @ ssNder1_2r1r1 ) )
| ~ ( C @ ( B @ ( A @ ssNder1_3r1r1r1 ) ) )
| ~ ( D @ ( C @ ( B @ ( A @ ssNder1_4r1r1r1r1 ) ) ) )
| ~ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_5r1r1r1r1r1 ) ) ) ) )
| ~ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv16_5r1r1r1r1r1 ) ) ) ) )
| ~ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_6r1r1r1r1r1r1 ) ) ) ) ) )
| ~ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_7r1r1r1r1r1r1r1 ) ) ) ) ) ) )
| ~ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
| ~ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_9r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) )
| ~ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_10r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) )
| ~ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ~ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv4_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause44) ).
thf(102,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] :
( ( A @ ssPv20_1r1 )
| ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv13_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
| ~ ssNder1_0
| ~ ( A @ ssNder1_1r1 )
| ~ ( B @ ( A @ ssNder1_2r1r1 ) )
| ~ ( C @ ( B @ ( A @ ssNder1_3r1r1r1 ) ) )
| ~ ( D @ ( C @ ( B @ ( A @ ssNder1_4r1r1r1r1 ) ) ) )
| ~ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_5r1r1r1r1r1 ) ) ) ) )
| ~ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv16_5r1r1r1r1r1 ) ) ) ) )
| ~ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_6r1r1r1r1r1r1 ) ) ) ) ) )
| ~ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_7r1r1r1r1r1r1r1 ) ) ) ) ) ) )
| ~ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
| ~ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_9r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) )
| ~ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_10r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) )
| ~ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ~ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv4_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[44]) ).
thf(156,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] :
( ( A @ ssPv20_1r1 )
| ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv13_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
| ~ ssNder1_0
| ~ ( A @ ssNder1_1r1 )
| ~ ( B @ ( A @ ssNder1_2r1r1 ) )
| ~ ( C @ ( B @ ( A @ ssNder1_3r1r1r1 ) ) )
| ~ ( D @ ( C @ ( B @ ( A @ ssNder1_4r1r1r1r1 ) ) ) )
| ~ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_5r1r1r1r1r1 ) ) ) ) )
| ~ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv16_5r1r1r1r1r1 ) ) ) ) )
| ~ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_6r1r1r1r1r1r1 ) ) ) ) ) )
| ~ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_7r1r1r1r1r1r1r1 ) ) ) ) ) ) )
| ~ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
| ~ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_9r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) )
| ~ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_10r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) )
| ~ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ~ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv4_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[102]) ).
thf(1278,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] :
( ( A @ ssPv20_1r1 )
| ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv13_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv16_5r1r1r1r1r1 ) ) ) ) )
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv4_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(rewrite,[status(thm)],[156,326,199,201,203,299,237,209,402,307,85,1206,279,344,251,221,1214]) ).
thf(1279,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] :
( ( A @ ssPv20_1r1 )
| ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv13_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
| ~ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv16_5r1r1r1r1r1 ) ) ) ) )
| ~ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv4_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[1278]) ).
thf(1288,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] :
( ( A @ ssPv20_1r1 )
| ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv13_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
| ~ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv16_5r1r1r1r1r1 ) ) ) ) )
| ~ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv4_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(rewrite,[status(thm)],[1279,1264]) ).
thf(1289,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] :
( ( A @ ssPv20_1r1 )
| ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv13_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
| ~ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv16_5r1r1r1r1r1 ) ) ) ) )
| ~ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv4_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[1288]) ).
thf(1329,plain,
! [U: $i,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] :
( ( ( skc30 @ ( D @ ( C @ ( B @ ( A @ ssPv16_5r1r1r1r1r1 ) ) ) ) )
!= ( I @ ( H @ ( G @ ( F @ ( E @ ssPv16_5r1r1r1r1r1 ) ) ) ) ) )
| ( E @ ssPv20_1r1 )
| ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ssPv13_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
| ~ $true
| ~ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ssPv4_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(paramod_ordered,[status(thm)],[213,1289]) ).
thf(1330,plain,
! [U: $i,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] :
( ( ( skc30 @ ( D @ ( C @ ( B @ ( A @ ssPv16_5r1r1r1r1r1 ) ) ) ) )
!= ( I @ ( H @ ( G @ ( F @ ( E @ ssPv16_5r1r1r1r1r1 ) ) ) ) ) )
| ( E @ ssPv20_1r1 )
| ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ssPv13_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
| ~ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ssPv4_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[1329]) ).
thf(1331,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: $i] :
( ( A @ ssPv20_1r1 )
| ( G @ ( F @ ( E @ ( skc30 @ ( D @ ( C @ ( B @ ( A @ ssPv13_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
| ~ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( skc30 @ ( D @ ( C @ ( B @ ( A @ ssPv4_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[1330:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( C )),bind(D,$thf( D )),bind(E,$thf( A )),bind(F,$thf( B )),bind(G,$thf( C )),bind(H,$thf( D )),bind(I,$thf( skc30 ))]]) ).
thf(1332,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] :
( ( A @ ssPv20_1r1 )
| ( G @ ( F @ ( E @ ( skc30 @ ( D @ ( C @ ( B @ ( A @ ssPv13_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
| ~ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( skc30 @ ( D @ ( C @ ( B @ ( A @ ssPv4_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[1331]) ).
thf(1956,plain,
! [ZD: $i,ZC: $i,ZB: $i,ZA: $i,Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,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] :
( ( ( N @ ( M @ ( L @ ( skc20 @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( skc26 @ ( E @ ( skc30 @ ( D @ ( C @ ( B @ ( A @ ssPv4_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
!= ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( skc30 @ ( R @ ( Q @ ( P @ ( O @ ssPv4_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( O @ ssPv20_1r1 )
| ( U @ ( T @ ( S @ ( skc30 @ ( R @ ( Q @ ( P @ ( O @ ssPv13_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
| ~ $true
| ( I @ ( H @ ( G @ ( F @ ( skc26 @ ( E @ ( skc30 @ ( D @ ( C @ ( B @ ( A @ ssPv10_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ( F @ ( skc26 @ ( E @ ( skc30 @ ( D @ ( C @ ( B @ ( A @ ssPv13_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ),
inference(paramod_ordered,[status(thm)],[1809,1332]) ).
thf(1957,plain,
! [ZD: $i,ZC: $i,ZB: $i,ZA: $i,Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,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] :
( ( ( N @ ( M @ ( L @ ( skc20 @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( skc26 @ ( E @ ( skc30 @ ( D @ ( C @ ( B @ ( A @ ssPv4_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
!= ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( skc30 @ ( R @ ( Q @ ( P @ ( O @ ssPv4_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( O @ ssPv20_1r1 )
| ( U @ ( T @ ( S @ ( skc30 @ ( R @ ( Q @ ( P @ ( O @ ssPv13_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
| ( I @ ( H @ ( G @ ( F @ ( skc26 @ ( E @ ( skc30 @ ( D @ ( C @ ( B @ ( A @ ssPv10_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ( F @ ( skc26 @ ( E @ ( skc30 @ ( D @ ( C @ ( B @ ( A @ ssPv13_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[1956]) ).
thf(1958,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( A @ ssPv20_1r1 )
| ( F @ ( skc26 @ ( E @ ( skc30 @ ( D @ ( C @ ( B @ ( A @ ssPv13_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
| ( I @ ( H @ ( G @ ( F @ ( skc26 @ ( E @ ( skc30 @ ( D @ ( C @ ( B @ ( A @ ssPv10_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ( F @ ( skc26 @ ( E @ ( skc30 @ ( D @ ( C @ ( B @ ( A @ ssPv13_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[1957:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( C )),bind(D,$thf( D )),bind(E,$thf( E )),bind(F,$thf( F )),bind(G,$thf( G )),bind(H,$thf( H )),bind(I,$thf( I )),bind(J,$thf( J )),bind(K,$thf( K )),bind(L,$thf( L )),bind(M,$thf( M )),bind(N,$thf( N )),bind(O,$thf( A )),bind(P,$thf( B )),bind(Q,$thf( C )),bind(R,$thf( D )),bind(S,$thf( E )),bind(T,$thf( skc26 )),bind(U,$thf( F )),bind(V,$thf( G )),bind(W,$thf( H )),bind(X,$thf( I )),bind(Y,$thf( J )),bind(Z,$thf( K )),bind(ZA,$thf( skc20 )),bind(ZB,$thf( L )),bind(ZC,$thf( M )),bind(ZD,$thf( N ))]]) ).
thf(1966,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( A @ ssPv20_1r1 )
| ( I @ ( H @ ( G @ ( F @ ( skc26 @ ( E @ ( skc30 @ ( D @ ( C @ ( B @ ( A @ ssPv10_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ( F @ ( skc26 @ ( E @ ( skc30 @ ( D @ ( C @ ( B @ ( A @ ssPv13_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[1958]) ).
thf(37,negated_conjecture,
! [O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( B @ ( A @ ssPv19_2r1r1 ) )
| ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv15_6r1r1r1r1r1r1 ) ) ) ) ) )
| ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ssNder1_0
| ~ ( A @ ssNder1_1r1 )
| ~ ( B @ ( A @ ssNder1_2r1r1 ) )
| ~ ( C @ ( B @ ( A @ ssNder1_3r1r1r1 ) ) )
| ~ ( D @ ( C @ ( B @ ( A @ ssNder1_4r1r1r1r1 ) ) ) )
| ~ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_5r1r1r1r1r1 ) ) ) ) )
| ~ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_6r1r1r1r1r1r1 ) ) ) ) ) )
| ~ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_7r1r1r1r1r1r1r1 ) ) ) ) ) ) )
| ~ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
| ~ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_9r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) )
| ~ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_10r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) )
| ~ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ~ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv10_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ~ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause37) ).
thf(76,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] :
( ( B @ ( A @ ssPv19_2r1r1 ) )
| ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv15_6r1r1r1r1r1r1 ) ) ) ) ) )
| ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ssNder1_0
| ~ ( A @ ssNder1_1r1 )
| ~ ( B @ ( A @ ssNder1_2r1r1 ) )
| ~ ( C @ ( B @ ( A @ ssNder1_3r1r1r1 ) ) )
| ~ ( D @ ( C @ ( B @ ( A @ ssNder1_4r1r1r1r1 ) ) ) )
| ~ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_5r1r1r1r1r1 ) ) ) ) )
| ~ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_6r1r1r1r1r1r1 ) ) ) ) ) )
| ~ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_7r1r1r1r1r1r1r1 ) ) ) ) ) ) )
| ~ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
| ~ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_9r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) )
| ~ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_10r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) )
| ~ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ~ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv10_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ~ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[37]) ).
thf(170,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] :
( ( B @ ( A @ ssPv19_2r1r1 ) )
| ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv15_6r1r1r1r1r1r1 ) ) ) ) ) )
| ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ssNder1_0
| ~ ( A @ ssNder1_1r1 )
| ~ ( B @ ( A @ ssNder1_2r1r1 ) )
| ~ ( C @ ( B @ ( A @ ssNder1_3r1r1r1 ) ) )
| ~ ( D @ ( C @ ( B @ ( A @ ssNder1_4r1r1r1r1 ) ) ) )
| ~ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_5r1r1r1r1r1 ) ) ) ) )
| ~ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_6r1r1r1r1r1r1 ) ) ) ) ) )
| ~ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_7r1r1r1r1r1r1r1 ) ) ) ) ) ) )
| ~ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
| ~ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_9r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) )
| ~ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_10r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) )
| ~ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ~ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv10_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ~ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[76]) ).
thf(234,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] :
( ( B @ ( A @ ssPv19_2r1r1 ) )
| ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv15_6r1r1r1r1r1r1 ) ) ) ) ) )
| ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_6r1r1r1r1r1r1 ) ) ) ) ) )
| ~ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_7r1r1r1r1r1r1r1 ) ) ) ) ) ) )
| ~ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
| ~ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_9r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) )
| ~ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_10r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) )
| ~ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ~ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv10_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ~ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(rewrite,[status(thm)],[170,209,85,199,201,203,221]) ).
thf(235,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] :
( ( B @ ( A @ ssPv19_2r1r1 ) )
| ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv15_6r1r1r1r1r1r1 ) ) ) ) ) )
| ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_6r1r1r1r1r1r1 ) ) ) ) ) )
| ~ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_7r1r1r1r1r1r1r1 ) ) ) ) ) ) )
| ~ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
| ~ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_9r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) )
| ~ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_10r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) )
| ~ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ~ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv10_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ~ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[234]) ).
thf(238,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] :
( ( B @ ( A @ ssPv19_2r1r1 ) )
| ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv15_6r1r1r1r1r1r1 ) ) ) ) ) )
| ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ $true
| ~ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_7r1r1r1r1r1r1r1 ) ) ) ) ) ) )
| ~ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
| ~ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_9r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) )
| ~ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_10r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) )
| ~ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ~ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv10_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ~ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(rewrite,[status(thm)],[235,237]) ).
thf(239,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] :
( ( B @ ( A @ ssPv19_2r1r1 ) )
| ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv15_6r1r1r1r1r1r1 ) ) ) ) ) )
| ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_7r1r1r1r1r1r1r1 ) ) ) ) ) ) )
| ~ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
| ~ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_9r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) )
| ~ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_10r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) )
| ~ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ~ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv10_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ~ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[238]) ).
thf(260,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] :
( ( B @ ( A @ ssPv19_2r1r1 ) )
| ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv15_6r1r1r1r1r1r1 ) ) ) ) ) )
| ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ $true
| ~ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
| ~ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_9r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) )
| ~ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_10r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) )
| ~ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ~ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv10_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ~ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(rewrite,[status(thm)],[239,251]) ).
thf(261,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] :
( ( B @ ( A @ ssPv19_2r1r1 ) )
| ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv15_6r1r1r1r1r1r1 ) ) ) ) ) )
| ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
| ~ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_9r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) )
| ~ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_10r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) )
| ~ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ~ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv10_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ~ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[260]) ).
thf(262,plain,
! [Y: $i,X: $i,W: $i,V: $i,U: $i,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] :
( ( ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_10r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) )
!= ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ssNder1_10r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ( L @ ( K @ ssPv19_2r1r1 ) )
| ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ssPv15_6r1r1r1r1r1r1 ) ) ) ) ) )
| ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ssNder1_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
| ~ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ssNder1_9r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) )
| ~ $true
| ~ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ~ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ssPv10_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ~ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
| ~ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_9r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ),
inference(paramod_ordered,[status(thm)],[253,261]) ).
thf(263,plain,
! [Y: $i,X: $i,W: $i,V: $i,U: $i,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] :
( ( ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_10r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) )
!= ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ssNder1_10r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ( L @ ( K @ ssPv19_2r1r1 ) )
| ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ssPv15_6r1r1r1r1r1r1 ) ) ) ) ) )
| ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ssNder1_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
| ~ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ssNder1_9r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) )
| ~ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ~ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ssPv10_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ~ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
| ~ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_9r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[262]) ).
thf(264,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: $i] :
( ( B @ ( A @ ssPv19_2r1r1 ) )
| ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv15_6r1r1r1r1r1r1 ) ) ) ) ) )
| ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
| ~ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_9r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) )
| ~ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ~ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv10_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ~ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
| ~ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_9r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[263:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( C )),bind(D,$thf( D )),bind(E,$thf( E )),bind(F,$thf( F )),bind(G,$thf( G )),bind(H,$thf( H )),bind(I,$thf( I )),bind(J,$thf( J )),bind(K,$thf( A )),bind(L,$thf( B )),bind(M,$thf( C )),bind(N,$thf( D )),bind(O,$thf( E )),bind(P,$thf( F )),bind(Q,$thf( G )),bind(R,$thf( H )),bind(S,$thf( I )),bind(T,$thf( J ))]]) ).
thf(265,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] :
( ( B @ ( A @ ssPv19_2r1r1 ) )
| ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv15_6r1r1r1r1r1r1 ) ) ) ) ) )
| ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ~ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv10_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ~ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
| ~ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_9r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[264]) ).
thf(296,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] :
( ( B @ ( A @ ssPv19_2r1r1 ) )
| ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv15_6r1r1r1r1r1r1 ) ) ) ) ) )
| ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ~ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv10_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ~ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ $true
| ~ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_9r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ),
inference(rewrite,[status(thm)],[265,279]) ).
thf(297,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] :
( ( B @ ( A @ ssPv19_2r1r1 ) )
| ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv15_6r1r1r1r1r1r1 ) ) ) ) ) )
| ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ~ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv10_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ~ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_9r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[296]) ).
thf(302,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] :
( ( B @ ( A @ ssPv19_2r1r1 ) )
| ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv15_6r1r1r1r1r1r1 ) ) ) ) ) )
| ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ~ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv10_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ~ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(rewrite,[status(thm)],[297,299]) ).
thf(303,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] :
( ( B @ ( A @ ssPv19_2r1r1 ) )
| ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv15_6r1r1r1r1r1r1 ) ) ) ) ) )
| ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ~ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv10_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ~ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[302]) ).
thf(341,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] :
( ( B @ ( A @ ssPv19_2r1r1 ) )
| ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv15_6r1r1r1r1r1r1 ) ) ) ) ) )
| ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ $true
| ~ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv10_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ~ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(rewrite,[status(thm)],[303,326]) ).
thf(342,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] :
( ( B @ ( A @ ssPv19_2r1r1 ) )
| ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv15_6r1r1r1r1r1r1 ) ) ) ) ) )
| ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv10_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ~ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[341]) ).
thf(361,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] :
( ( B @ ( A @ ssPv19_2r1r1 ) )
| ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv15_6r1r1r1r1r1r1 ) ) ) ) ) )
| ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv10_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ~ $true
| ~ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(rewrite,[status(thm)],[342,344]) ).
thf(362,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] :
( ( B @ ( A @ ssPv19_2r1r1 ) )
| ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv15_6r1r1r1r1r1r1 ) ) ) ) ) )
| ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv10_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ~ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[361]) ).
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_0
| ~ ( A @ ssNder1_1r1 )
| ~ ( B @ ( A @ ssNder1_2r1r1 ) )
| ~ ( C @ ( B @ ( A @ ssNder1_3r1r1r1 ) ) )
| ~ ( D @ ( C @ ( B @ ( A @ ssNder1_4r1r1r1r1 ) ) ) )
| ~ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_5r1r1r1r1r1 ) ) ) ) )
| ~ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_6r1r1r1r1r1r1 ) ) ) ) ) )
| ~ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_7r1r1r1r1r1r1r1 ) ) ) ) ) ) )
| ~ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
| ~ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_9r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) )
| ~ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_10r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) )
| ~ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ~ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( skc19 @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause30) ).
thf(127,plain,
! [N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ssNder1_0
| ~ ( A @ ssNder1_1r1 )
| ~ ( B @ ( A @ ssNder1_2r1r1 ) )
| ~ ( C @ ( B @ ( A @ ssNder1_3r1r1r1 ) ) )
| ~ ( D @ ( C @ ( B @ ( A @ ssNder1_4r1r1r1r1 ) ) ) )
| ~ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_5r1r1r1r1r1 ) ) ) ) )
| ~ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_6r1r1r1r1r1r1 ) ) ) ) ) )
| ~ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_7r1r1r1r1r1r1r1 ) ) ) ) ) ) )
| ~ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
| ~ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_9r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) )
| ~ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_10r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) )
| ~ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ~ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( skc19 @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[30]) ).
thf(180,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_0
| ~ ( A @ ssNder1_1r1 )
| ~ ( B @ ( A @ ssNder1_2r1r1 ) )
| ~ ( C @ ( B @ ( A @ ssNder1_3r1r1r1 ) ) )
| ~ ( D @ ( C @ ( B @ ( A @ ssNder1_4r1r1r1r1 ) ) ) )
| ~ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_5r1r1r1r1r1 ) ) ) ) )
| ~ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_6r1r1r1r1r1r1 ) ) ) ) ) )
| ~ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_7r1r1r1r1r1r1r1 ) ) ) ) ) ) )
| ~ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
| ~ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_9r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) )
| ~ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_10r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) )
| ~ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ~ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( skc19 @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[127]) ).
thf(317,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] :
( ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ~ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( skc19 @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(rewrite,[status(thm)],[180,209,307,85,199,279,201,203,251,299,221,237]) ).
thf(318,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] :
( ~ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ~ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( skc19 @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[317]) ).
thf(339,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] :
( ~ $true
| ~ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( skc19 @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(rewrite,[status(thm)],[318,326]) ).
thf(340,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] :
( ~ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( skc19 @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[339]) ).
thf(351,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] :
( ~ $true
| ~ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( skc19 @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(rewrite,[status(thm)],[340,344]) ).
thf(352,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] :
( ~ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( skc19 @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[351]) ).
thf(363,plain,
! [ZC: $i,ZB: $i,ZA: $i,Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,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] :
( ( ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
!= ( skc19 @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ $true
| ( B @ ( A @ ssPv19_2r1r1 ) )
| ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv15_6r1r1r1r1r1r1 ) ) ) ) ) )
| ~ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv10_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ~ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(paramod_ordered,[status(thm)],[362,352]) ).
thf(364,plain,
! [ZC: $i,ZB: $i,ZA: $i,Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,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] :
( ( ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
!= ( skc19 @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) )
| ( B @ ( A @ ssPv19_2r1r1 ) )
| ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv15_6r1r1r1r1r1r1 ) ) ) ) ) )
| ~ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv10_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ~ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[363]) ).
thf(365,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: $i] :
( ~ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) )
| ( B @ ( A @ ssPv19_2r1r1 ) )
| ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv15_6r1r1r1r1r1r1 ) ) ) ) ) )
| ~ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv10_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ~ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[364:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( C )),bind(D,$thf( D )),bind(E,$thf( E )),bind(F,$thf( F )),bind(G,$thf( G )),bind(H,$thf( H )),bind(I,$thf( I )),bind(J,$thf( J )),bind(K,$thf( K )),bind(L,$thf( L )),bind(M,$thf( M )),bind(N,$thf( N )),bind(O,$thf( skc19 )),bind(P,$thf( A )),bind(Q,$thf( B )),bind(R,$thf( C )),bind(S,$thf( D )),bind(T,$thf( E )),bind(U,$thf( F )),bind(V,$thf( G )),bind(W,$thf( H )),bind(X,$thf( I )),bind(Y,$thf( J )),bind(Z,$thf( K )),bind(ZA,$thf( L )),bind(ZB,$thf( M )),bind(ZC,$thf( N ))]]) ).
thf(366,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] :
( ( B @ ( A @ ssPv19_2r1r1 ) )
| ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv15_6r1r1r1r1r1r1 ) ) ) ) ) )
| ~ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv10_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ~ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[365]) ).
thf(415,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] :
( ( B @ ( A @ ssPv19_2r1r1 ) )
| ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv15_6r1r1r1r1r1r1 ) ) ) ) ) )
| ~ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv10_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ~ $true
| ~ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(rewrite,[status(thm)],[366,402]) ).
thf(416,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] :
( ( B @ ( A @ ssPv19_2r1r1 ) )
| ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv15_6r1r1r1r1r1r1 ) ) ) ) ) )
| ~ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv10_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ~ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[415]) ).
thf(1209,plain,
! [K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( B @ ( A @ ssPv19_2r1r1 ) )
| ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv15_6r1r1r1r1r1r1 ) ) ) ) ) )
| ~ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv10_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(rewrite,[status(thm)],[416,1206]) ).
thf(1210,plain,
! [K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( B @ ( A @ ssPv19_2r1r1 ) )
| ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv15_6r1r1r1r1r1r1 ) ) ) ) ) )
| ~ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv10_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[1209]) ).
thf(1971,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] :
( ( ( I @ ( H @ ( G @ ( F @ ( skc26 @ ( E @ ( skc30 @ ( D @ ( C @ ( B @ ( A @ ssPv10_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
!= ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ssPv10_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) )
| ( K @ ( J @ ssPv19_2r1r1 ) )
| ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ssPv15_6r1r1r1r1r1r1 ) ) ) ) ) )
| ~ $true
| ( A @ ssPv20_1r1 )
| ( F @ ( skc26 @ ( E @ ( skc30 @ ( D @ ( C @ ( B @ ( A @ ssPv13_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ),
inference(paramod_ordered,[status(thm)],[1966,1210]) ).
thf(1972,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] :
( ( ( I @ ( H @ ( G @ ( F @ ( skc26 @ ( E @ ( skc30 @ ( D @ ( C @ ( B @ ( A @ ssPv10_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
!= ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ssPv10_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) )
| ( K @ ( J @ ssPv19_2r1r1 ) )
| ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ssPv15_6r1r1r1r1r1r1 ) ) ) ) ) )
| ( A @ ssPv20_1r1 )
| ( F @ ( skc26 @ ( E @ ( skc30 @ ( D @ ( C @ ( B @ ( A @ ssPv13_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[1971]) ).
thf(1973,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( B @ ( A @ ssPv19_2r1r1 ) )
| ( E @ ( skc30 @ ( D @ ( C @ ( B @ ( A @ ssPv15_6r1r1r1r1r1r1 ) ) ) ) ) )
| ( A @ ssPv20_1r1 )
| ( F @ ( skc26 @ ( E @ ( skc30 @ ( D @ ( C @ ( B @ ( A @ ssPv13_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[1972:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( C )),bind(D,$thf( D )),bind(E,$thf( E )),bind(F,$thf( F )),bind(G,$thf( G )),bind(H,$thf( H )),bind(I,$thf( I )),bind(J,$thf( A )),bind(K,$thf( B )),bind(L,$thf( C )),bind(M,$thf( D )),bind(N,$thf( skc30 )),bind(O,$thf( E )),bind(P,$thf( skc26 )),bind(Q,$thf( F )),bind(R,$thf( G )),bind(S,$thf( H )),bind(T,$thf( I ))]]) ).
thf(16,negated_conjecture,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ssNder1_0
| ~ ( A @ ssNder1_1r1 )
| ~ ( B @ ( A @ ssNder1_2r1r1 ) )
| ~ ( C @ ( B @ ( A @ ssNder1_3r1r1r1 ) ) )
| ~ ( D @ ( C @ ( B @ ( A @ ssNder1_4r1r1r1r1 ) ) ) )
| ~ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_5r1r1r1r1r1 ) ) ) ) )
| ~ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_6r1r1r1r1r1r1 ) ) ) ) ) )
| ~ ( skc25 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv13_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause16) ).
thf(116,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ssNder1_0
| ~ ( A @ ssNder1_1r1 )
| ~ ( B @ ( A @ ssNder1_2r1r1 ) )
| ~ ( C @ ( B @ ( A @ ssNder1_3r1r1r1 ) ) )
| ~ ( D @ ( C @ ( B @ ( A @ ssNder1_4r1r1r1r1 ) ) ) )
| ~ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_5r1r1r1r1r1 ) ) ) ) )
| ~ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_6r1r1r1r1r1r1 ) ) ) ) ) )
| ~ ( skc25 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv13_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
thf(153,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ssNder1_0
| ~ ( A @ ssNder1_1r1 )
| ~ ( B @ ( A @ ssNder1_2r1r1 ) )
| ~ ( C @ ( B @ ( A @ ssNder1_3r1r1r1 ) ) )
| ~ ( D @ ( C @ ( B @ ( A @ ssNder1_4r1r1r1r1 ) ) ) )
| ~ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_5r1r1r1r1r1 ) ) ) ) )
| ~ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_6r1r1r1r1r1r1 ) ) ) ) ) )
| ~ ( skc25 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv13_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[116]) ).
thf(232,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_6r1r1r1r1r1r1 ) ) ) ) ) )
| ~ ( skc25 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv13_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ),
inference(rewrite,[status(thm)],[153,209,85,199,201,203,221]) ).
thf(233,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_6r1r1r1r1r1r1 ) ) ) ) ) )
| ~ ( skc25 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv13_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[232]) ).
thf(240,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ $true
| ~ ( skc25 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv13_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ),
inference(rewrite,[status(thm)],[233,237]) ).
thf(241,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
~ ( skc25 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv13_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[240]) ).
thf(2050,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] :
( ( ( F @ ( skc26 @ ( E @ ( skc30 @ ( D @ ( C @ ( B @ ( A @ ssPv13_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
!= ( skc25 @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ssPv13_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) )
| ~ $true
| ( B @ ( A @ ssPv19_2r1r1 ) )
| ( E @ ( skc30 @ ( D @ ( C @ ( B @ ( A @ ssPv15_6r1r1r1r1r1r1 ) ) ) ) ) )
| ( A @ ssPv20_1r1 ) ),
inference(paramod_ordered,[status(thm)],[1973,241]) ).
thf(2051,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] :
( ( ( F @ ( skc26 @ ( E @ ( skc30 @ ( D @ ( C @ ( B @ ( A @ ssPv13_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
!= ( skc25 @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ssPv13_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) )
| ( B @ ( A @ ssPv19_2r1r1 ) )
| ( E @ ( skc30 @ ( D @ ( C @ ( B @ ( A @ ssPv15_6r1r1r1r1r1r1 ) ) ) ) ) )
| ( A @ ssPv20_1r1 ) ),
inference(simp,[status(thm)],[2050]) ).
thf(2052,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( B @ ( A @ ssPv19_2r1r1 ) )
| ( E @ ( skc30 @ ( D @ ( C @ ( B @ ( A @ ssPv15_6r1r1r1r1r1r1 ) ) ) ) ) )
| ( A @ ssPv20_1r1 ) ),
inference(pattern_uni,[status(thm)],[2051:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( C )),bind(D,$thf( D )),bind(E,$thf( E )),bind(F,$thf( skc25 )),bind(G,$thf( A )),bind(H,$thf( B )),bind(I,$thf( C )),bind(J,$thf( D )),bind(K,$thf( skc30 )),bind(L,$thf( E )),bind(M,$thf( skc26 ))]]) ).
thf(10,negated_conjecture,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ssNder1_0
| ~ ( A @ ssNder1_1r1 )
| ~ ( B @ ( A @ ssNder1_2r1r1 ) )
| ~ ( C @ ( B @ ( A @ ssNder1_3r1r1r1 ) ) )
| ~ ( D @ ( C @ ( B @ ( A @ ssNder1_4r1r1r1r1 ) ) ) )
| ~ ( skc29 @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv15_6r1r1r1r1r1r1 ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause10) ).
thf(72,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ssNder1_0
| ~ ( A @ ssNder1_1r1 )
| ~ ( B @ ( A @ ssNder1_2r1r1 ) )
| ~ ( C @ ( B @ ( A @ ssNder1_3r1r1r1 ) ) )
| ~ ( D @ ( C @ ( B @ ( A @ ssNder1_4r1r1r1r1 ) ) ) )
| ~ ( skc29 @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv15_6r1r1r1r1r1r1 ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(137,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ssNder1_0
| ~ ( A @ ssNder1_1r1 )
| ~ ( B @ ( A @ ssNder1_2r1r1 ) )
| ~ ( C @ ( B @ ( A @ ssNder1_3r1r1r1 ) ) )
| ~ ( D @ ( C @ ( B @ ( A @ ssNder1_4r1r1r1r1 ) ) ) )
| ~ ( skc29 @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv15_6r1r1r1r1r1r1 ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[72]) ).
thf(206,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ ( D @ ( C @ ( B @ ( A @ ssNder1_4r1r1r1r1 ) ) ) )
| ~ ( skc29 @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv15_6r1r1r1r1r1r1 ) ) ) ) ) ) ),
inference(rewrite,[status(thm)],[137,85,199,201,203]) ).
thf(207,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( C @ ( B @ ( A @ ssNder1_4r1r1r1r1 ) ) ) )
| ~ ( skc29 @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv15_6r1r1r1r1r1r1 ) ) ) ) ) ) ),
inference(simp,[status(thm)],[206]) ).
thf(210,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ $true
| ~ ( skc29 @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv15_6r1r1r1r1r1r1 ) ) ) ) ) ) ),
inference(rewrite,[status(thm)],[207,209]) ).
thf(211,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
~ ( skc29 @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv15_6r1r1r1r1r1r1 ) ) ) ) ) ),
inference(simp,[status(thm)],[210]) ).
thf(2073,plain,
! [J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( E @ ( skc30 @ ( D @ ( C @ ( B @ ( A @ ssPv15_6r1r1r1r1r1r1 ) ) ) ) ) )
!= ( skc29 @ ( J @ ( I @ ( H @ ( G @ ( F @ ssPv15_6r1r1r1r1r1r1 ) ) ) ) ) ) )
| ~ $true
| ( B @ ( A @ ssPv19_2r1r1 ) )
| ( A @ ssPv20_1r1 ) ),
inference(paramod_ordered,[status(thm)],[2052,211]) ).
thf(2074,plain,
! [J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( E @ ( skc30 @ ( D @ ( C @ ( B @ ( A @ ssPv15_6r1r1r1r1r1r1 ) ) ) ) ) )
!= ( skc29 @ ( J @ ( I @ ( H @ ( G @ ( F @ ssPv15_6r1r1r1r1r1r1 ) ) ) ) ) ) )
| ( B @ ( A @ ssPv19_2r1r1 ) )
| ( A @ ssPv20_1r1 ) ),
inference(simp,[status(thm)],[2073]) ).
thf(2075,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ ssPv19_2r1r1 ) )
| ( A @ ssPv20_1r1 ) ),
inference(pattern_uni,[status(thm)],[2074:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( C )),bind(D,$thf( D )),bind(E,$thf( skc29 )),bind(F,$thf( A )),bind(G,$thf( B )),bind(H,$thf( C )),bind(I,$thf( D )),bind(J,$thf( skc30 ))]]) ).
thf(39,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] :
( ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv15_6r1r1r1r1r1r1 ) ) ) ) ) )
| ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ssNder1_0
| ~ ( A @ ssNder1_1r1 )
| ~ ( B @ ( A @ ssNder1_2r1r1 ) )
| ~ ( B @ ( A @ ssPv19_2r1r1 ) )
| ~ ( C @ ( B @ ( A @ ssNder1_3r1r1r1 ) ) )
| ~ ( D @ ( C @ ( B @ ( A @ ssNder1_4r1r1r1r1 ) ) ) )
| ~ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_5r1r1r1r1r1 ) ) ) ) )
| ~ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_6r1r1r1r1r1r1 ) ) ) ) ) )
| ~ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_7r1r1r1r1r1r1r1 ) ) ) ) ) ) )
| ~ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
| ~ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_9r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) )
| ~ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_10r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) )
| ~ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ~ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv10_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ~ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause39) ).
thf(109,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] :
( ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv15_6r1r1r1r1r1r1 ) ) ) ) ) )
| ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ssNder1_0
| ~ ( A @ ssNder1_1r1 )
| ~ ( B @ ( A @ ssNder1_2r1r1 ) )
| ~ ( B @ ( A @ ssPv19_2r1r1 ) )
| ~ ( C @ ( B @ ( A @ ssNder1_3r1r1r1 ) ) )
| ~ ( D @ ( C @ ( B @ ( A @ ssNder1_4r1r1r1r1 ) ) ) )
| ~ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_5r1r1r1r1r1 ) ) ) ) )
| ~ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_6r1r1r1r1r1r1 ) ) ) ) ) )
| ~ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_7r1r1r1r1r1r1r1 ) ) ) ) ) ) )
| ~ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
| ~ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_9r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) )
| ~ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_10r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) )
| ~ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ~ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv10_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ~ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[39]) ).
thf(159,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] :
( ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv15_6r1r1r1r1r1r1 ) ) ) ) ) )
| ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ssNder1_0
| ~ ( A @ ssNder1_1r1 )
| ~ ( B @ ( A @ ssNder1_2r1r1 ) )
| ~ ( B @ ( A @ ssPv19_2r1r1 ) )
| ~ ( C @ ( B @ ( A @ ssNder1_3r1r1r1 ) ) )
| ~ ( D @ ( C @ ( B @ ( A @ ssNder1_4r1r1r1r1 ) ) ) )
| ~ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_5r1r1r1r1r1 ) ) ) ) )
| ~ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_6r1r1r1r1r1r1 ) ) ) ) ) )
| ~ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_7r1r1r1r1r1r1r1 ) ) ) ) ) ) )
| ~ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
| ~ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_9r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) )
| ~ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_10r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) )
| ~ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ~ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv10_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ~ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[109]) ).
thf(1296,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] :
( ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv15_6r1r1r1r1r1r1 ) ) ) ) ) )
| ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ $true
| ~ $true
| ~ $true
| ~ ( B @ ( A @ ssPv19_2r1r1 ) )
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv10_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ~ $true
| ~ $true
| ~ $true ),
inference(rewrite,[status(thm)],[159,326,199,201,203,299,237,209,402,307,85,1206,279,344,251,221]) ).
thf(1297,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] :
( ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv15_6r1r1r1r1r1r1 ) ) ) ) ) )
| ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( B @ ( A @ ssPv19_2r1r1 ) )
| ~ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv10_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[1296]) ).
thf(409,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] :
( ~ $true
| ~ ( skc19 @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(rewrite,[status(thm)],[352,402]) ).
thf(410,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] :
~ ( skc19 @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[409]) ).
thf(1298,plain,
! [ZC: $i,ZB: $i,ZA: $i,Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,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] :
( ( ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
!= ( skc19 @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ $true
| ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv15_6r1r1r1r1r1r1 ) ) ) ) ) )
| ~ ( B @ ( A @ ssPv19_2r1r1 ) )
| ~ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv10_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ),
inference(paramod_ordered,[status(thm)],[1297,410]) ).
thf(1299,plain,
! [ZC: $i,ZB: $i,ZA: $i,Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,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] :
( ( ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
!= ( skc19 @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv15_6r1r1r1r1r1r1 ) ) ) ) ) )
| ~ ( B @ ( A @ ssPv19_2r1r1 ) )
| ~ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv10_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[1298]) ).
thf(1300,plain,
! [K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv15_6r1r1r1r1r1r1 ) ) ) ) ) )
| ~ ( B @ ( A @ ssPv19_2r1r1 ) )
| ~ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv10_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[1299:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( C )),bind(D,$thf( D )),bind(E,$thf( E )),bind(F,$thf( F )),bind(G,$thf( G )),bind(H,$thf( H )),bind(I,$thf( I )),bind(J,$thf( J )),bind(K,$thf( K )),bind(L,$thf( L )),bind(M,$thf( M )),bind(N,$thf( N )),bind(O,$thf( skc19 )),bind(P,$thf( A )),bind(Q,$thf( B )),bind(R,$thf( C )),bind(S,$thf( D )),bind(T,$thf( E )),bind(U,$thf( F )),bind(V,$thf( G )),bind(W,$thf( H )),bind(X,$thf( I )),bind(Y,$thf( J )),bind(Z,$thf( K )),bind(ZA,$thf( L )),bind(ZB,$thf( M )),bind(ZC,$thf( N ))]]) ).
thf(2087,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] :
( ( ( B @ ( A @ ssPv19_2r1r1 ) )
!= ( D @ ( C @ ssPv19_2r1r1 ) ) )
| ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ssPv15_6r1r1r1r1r1r1 ) ) ) ) ) )
| ~ $true
| ~ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ssPv10_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ( A @ ssPv20_1r1 ) ),
inference(paramod_ordered,[status(thm)],[2075,1300]) ).
thf(2088,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] :
( ( ( B @ ( A @ ssPv19_2r1r1 ) )
!= ( D @ ( C @ ssPv19_2r1r1 ) ) )
| ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ssPv15_6r1r1r1r1r1r1 ) ) ) ) ) )
| ~ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ssPv10_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ( A @ ssPv20_1r1 ) ),
inference(simp,[status(thm)],[2087]) ).
thf(2089,plain,
! [K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv15_6r1r1r1r1r1r1 ) ) ) ) ) )
| ~ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv10_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ( A @ ssPv20_1r1 ) ),
inference(pattern_uni,[status(thm)],[2088:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( A )),bind(D,$thf( B ))]]) ).
thf(2095,plain,
! [K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv15_6r1r1r1r1r1r1 ) ) ) ) ) )
| ~ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv10_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ( A @ ssPv20_1r1 ) ),
inference(simp,[status(thm)],[2089]) ).
thf(2134,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] :
( ( ( I @ ( H @ ( G @ ( F @ ( skc26 @ ( E @ ( skc30 @ ( D @ ( C @ ( B @ ( A @ ssPv10_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
!= ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ssPv10_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) )
| ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ssPv15_6r1r1r1r1r1r1 ) ) ) ) ) )
| ~ $true
| ( J @ ssPv20_1r1 )
| ( A @ ssPv20_1r1 )
| ( F @ ( skc26 @ ( E @ ( skc30 @ ( D @ ( C @ ( B @ ( A @ ssPv13_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ),
inference(paramod_ordered,[status(thm)],[1966,2095]) ).
thf(2135,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] :
( ( ( I @ ( H @ ( G @ ( F @ ( skc26 @ ( E @ ( skc30 @ ( D @ ( C @ ( B @ ( A @ ssPv10_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
!= ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ssPv10_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) )
| ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ssPv15_6r1r1r1r1r1r1 ) ) ) ) ) )
| ( J @ ssPv20_1r1 )
| ( A @ ssPv20_1r1 )
| ( F @ ( skc26 @ ( E @ ( skc30 @ ( D @ ( C @ ( B @ ( A @ ssPv13_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[2134]) ).
thf(2136,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( E @ ( skc30 @ ( D @ ( C @ ( B @ ( A @ ssPv15_6r1r1r1r1r1r1 ) ) ) ) ) )
| ( A @ ssPv20_1r1 )
| ( A @ ssPv20_1r1 )
| ( F @ ( skc26 @ ( E @ ( skc30 @ ( D @ ( C @ ( B @ ( A @ ssPv13_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[2135:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( C )),bind(D,$thf( D )),bind(E,$thf( E )),bind(F,$thf( F )),bind(G,$thf( G )),bind(H,$thf( H )),bind(I,$thf( I )),bind(J,$thf( A )),bind(K,$thf( B )),bind(L,$thf( C )),bind(M,$thf( D )),bind(N,$thf( skc30 )),bind(O,$thf( E )),bind(P,$thf( skc26 )),bind(Q,$thf( F )),bind(R,$thf( G )),bind(S,$thf( H )),bind(T,$thf( I ))]]) ).
thf(2140,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( E @ ( skc30 @ ( D @ ( C @ ( B @ ( A @ ssPv15_6r1r1r1r1r1r1 ) ) ) ) ) )
| ( A @ ssPv20_1r1 )
| ( F @ ( skc26 @ ( E @ ( skc30 @ ( D @ ( C @ ( B @ ( A @ ssPv13_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[2136]) ).
thf(2160,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] :
( ( ( F @ ( skc26 @ ( E @ ( skc30 @ ( D @ ( C @ ( B @ ( A @ ssPv13_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
!= ( skc25 @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ssPv13_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) )
| ~ $true
| ( E @ ( skc30 @ ( D @ ( C @ ( B @ ( A @ ssPv15_6r1r1r1r1r1r1 ) ) ) ) ) )
| ( A @ ssPv20_1r1 ) ),
inference(paramod_ordered,[status(thm)],[2140,241]) ).
thf(2161,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] :
( ( ( F @ ( skc26 @ ( E @ ( skc30 @ ( D @ ( C @ ( B @ ( A @ ssPv13_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
!= ( skc25 @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ssPv13_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) )
| ( E @ ( skc30 @ ( D @ ( C @ ( B @ ( A @ ssPv15_6r1r1r1r1r1r1 ) ) ) ) ) )
| ( A @ ssPv20_1r1 ) ),
inference(simp,[status(thm)],[2160]) ).
thf(2162,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( E @ ( skc30 @ ( D @ ( C @ ( B @ ( A @ ssPv15_6r1r1r1r1r1r1 ) ) ) ) ) )
| ( A @ ssPv20_1r1 ) ),
inference(pattern_uni,[status(thm)],[2161:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( C )),bind(D,$thf( D )),bind(E,$thf( E )),bind(F,$thf( skc25 )),bind(G,$thf( A )),bind(H,$thf( B )),bind(I,$thf( C )),bind(J,$thf( D )),bind(K,$thf( skc30 )),bind(L,$thf( E )),bind(M,$thf( skc26 ))]]) ).
thf(2183,plain,
! [J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( E @ ( skc30 @ ( D @ ( C @ ( B @ ( A @ ssPv15_6r1r1r1r1r1r1 ) ) ) ) ) )
!= ( skc29 @ ( J @ ( I @ ( H @ ( G @ ( F @ ssPv15_6r1r1r1r1r1r1 ) ) ) ) ) ) )
| ~ $true
| ( A @ ssPv20_1r1 ) ),
inference(paramod_ordered,[status(thm)],[2162,211]) ).
thf(2184,plain,
! [J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( E @ ( skc30 @ ( D @ ( C @ ( B @ ( A @ ssPv15_6r1r1r1r1r1r1 ) ) ) ) ) )
!= ( skc29 @ ( J @ ( I @ ( H @ ( G @ ( F @ ssPv15_6r1r1r1r1r1r1 ) ) ) ) ) ) )
| ( A @ ssPv20_1r1 ) ),
inference(simp,[status(thm)],[2183]) ).
thf(2185,plain,
! [A: $i] : ( A @ ssPv20_1r1 ),
inference(pattern_uni,[status(thm)],[2184:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( C )),bind(D,$thf( D )),bind(E,$thf( skc29 )),bind(F,$thf( A )),bind(G,$thf( B )),bind(H,$thf( C )),bind(I,$thf( D )),bind(J,$thf( skc30 ))]]) ).
thf(2197,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ $true
| ~ ( I @ ( H @ ( G @ ( skc26 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv11_10r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ),
inference(rewrite,[status(thm)],[732,2185]) ).
thf(2198,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
~ ( I @ ( H @ ( G @ ( skc26 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv11_10r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[2197]) ).
thf(2245,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] :
( $false
| ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( skc26 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( skc26 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(rewrite,[status(thm)],[1392,2198]) ).
thf(2246,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] :
( ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( skc26 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( skc26 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[2245]) ).
thf(15,negated_conjecture,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( skc24 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv13_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
| ~ ssNder1_0
| ~ ( A @ ssNder1_1r1 )
| ~ ( B @ ( A @ ssNder1_2r1r1 ) )
| ~ ( C @ ( B @ ( A @ ssNder1_3r1r1r1 ) ) )
| ~ ( D @ ( C @ ( B @ ( A @ ssNder1_4r1r1r1r1 ) ) ) )
| ~ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_5r1r1r1r1r1 ) ) ) ) )
| ~ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_6r1r1r1r1r1r1 ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause15) ).
thf(131,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( skc24 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv13_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
| ~ ssNder1_0
| ~ ( A @ ssNder1_1r1 )
| ~ ( B @ ( A @ ssNder1_2r1r1 ) )
| ~ ( C @ ( B @ ( A @ ssNder1_3r1r1r1 ) ) )
| ~ ( D @ ( C @ ( B @ ( A @ ssNder1_4r1r1r1r1 ) ) ) )
| ~ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_5r1r1r1r1r1 ) ) ) ) )
| ~ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_6r1r1r1r1r1r1 ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(191,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( skc24 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv13_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
| ~ ssNder1_0
| ~ ( A @ ssNder1_1r1 )
| ~ ( B @ ( A @ ssNder1_2r1r1 ) )
| ~ ( C @ ( B @ ( A @ ssNder1_3r1r1r1 ) ) )
| ~ ( D @ ( C @ ( B @ ( A @ ssNder1_4r1r1r1r1 ) ) ) )
| ~ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_5r1r1r1r1r1 ) ) ) ) )
| ~ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_6r1r1r1r1r1r1 ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[131]) ).
thf(266,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( skc24 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv13_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true ),
inference(rewrite,[status(thm)],[191,209,85,199,201,203,221,237]) ).
thf(267,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] : ( skc24 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv13_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[266]) ).
thf(61,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] :
( ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ssNder1_0
| ~ ( A @ ssNder1_1r1 )
| ~ ( B @ ( A @ ssNder1_2r1r1 ) )
| ~ ( C @ ( B @ ( A @ ssNder1_3r1r1r1 ) ) )
| ~ ( D @ ( C @ ( B @ ( A @ ssNder1_4r1r1r1r1 ) ) ) )
| ~ ( D @ ( C @ ( B @ ( A @ ssPv17_4r1r1r1r1 ) ) ) )
| ~ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_5r1r1r1r1r1 ) ) ) ) )
| ~ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_6r1r1r1r1r1r1 ) ) ) ) ) )
| ~ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_7r1r1r1r1r1r1r1 ) ) ) ) ) ) )
| ~ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
| ~ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv13_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
| ~ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_9r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) )
| ~ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_10r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) )
| ~ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ~ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause61) ).
thf(84,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] :
( ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ssNder1_0
| ~ ( A @ ssNder1_1r1 )
| ~ ( B @ ( A @ ssNder1_2r1r1 ) )
| ~ ( C @ ( B @ ( A @ ssNder1_3r1r1r1 ) ) )
| ~ ( D @ ( C @ ( B @ ( A @ ssNder1_4r1r1r1r1 ) ) ) )
| ~ ( D @ ( C @ ( B @ ( A @ ssPv17_4r1r1r1r1 ) ) ) )
| ~ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_5r1r1r1r1r1 ) ) ) ) )
| ~ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_6r1r1r1r1r1r1 ) ) ) ) ) )
| ~ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_7r1r1r1r1r1r1r1 ) ) ) ) ) ) )
| ~ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
| ~ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv13_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
| ~ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_9r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) )
| ~ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_10r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) )
| ~ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ~ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[61]) ).
thf(150,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] :
( ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ssNder1_0
| ~ ( A @ ssNder1_1r1 )
| ~ ( B @ ( A @ ssNder1_2r1r1 ) )
| ~ ( C @ ( B @ ( A @ ssNder1_3r1r1r1 ) ) )
| ~ ( D @ ( C @ ( B @ ( A @ ssNder1_4r1r1r1r1 ) ) ) )
| ~ ( D @ ( C @ ( B @ ( A @ ssPv17_4r1r1r1r1 ) ) ) )
| ~ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_5r1r1r1r1r1 ) ) ) ) )
| ~ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_6r1r1r1r1r1r1 ) ) ) ) ) )
| ~ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_7r1r1r1r1r1r1r1 ) ) ) ) ) ) )
| ~ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
| ~ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv13_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
| ~ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_9r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) )
| ~ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_10r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) )
| ~ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ~ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[84]) ).
thf(379,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] :
( ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ ( D @ ( C @ ( B @ ( A @ ssPv17_4r1r1r1r1 ) ) ) )
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv13_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(rewrite,[status(thm)],[150,326,199,201,203,299,237,209,307,85,279,344,251,221]) ).
thf(380,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] :
( ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( D @ ( C @ ( B @ ( A @ ssPv17_4r1r1r1r1 ) ) ) )
| ~ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv13_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
| ~ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[379]) ).
thf(381,plain,
! [ZA: $i,Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,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] :
( ( ( skc24 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv13_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
!= ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ssPv13_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) )
| ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( K @ ( J @ ( I @ ( H @ ssPv17_4r1r1r1r1 ) ) ) )
| ~ $true
| ~ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ssPv1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(paramod_ordered,[status(thm)],[267,380]) ).
thf(382,plain,
! [ZA: $i,Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,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] :
( ( ( skc24 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv13_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
!= ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ssPv13_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) )
| ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( K @ ( J @ ( I @ ( H @ ssPv17_4r1r1r1r1 ) ) ) )
| ~ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ssPv1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[381]) ).
thf(383,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: $i] :
( ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( skc24 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( D @ ( C @ ( B @ ( A @ ssPv17_4r1r1r1r1 ) ) ) )
| ~ ( L @ ( K @ ( J @ ( I @ ( H @ ( skc24 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( skc24 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( skc24 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( skc24 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( skc24 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( skc24 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( skc24 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( skc24 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[382:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( C )),bind(D,$thf( D )),bind(E,$thf( E )),bind(F,$thf( F )),bind(G,$thf( G )),bind(H,$thf( A )),bind(I,$thf( B )),bind(J,$thf( C )),bind(K,$thf( D )),bind(L,$thf( E )),bind(M,$thf( F )),bind(N,$thf( G )),bind(O,$thf( skc24 ))]]) ).
thf(388,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] :
( ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( skc24 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( D @ ( C @ ( B @ ( A @ ssPv17_4r1r1r1r1 ) ) ) )
| ~ ( L @ ( K @ ( J @ ( I @ ( H @ ( skc24 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( skc24 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( skc24 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( skc24 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( skc24 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( skc24 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( skc24 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( skc24 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[383]) ).
thf(1462,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] :
( ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( skc24 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( D @ ( C @ ( B @ ( A @ ssPv17_4r1r1r1r1 ) ) ) )
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( skc24 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(rewrite,[status(thm)],[388,1264,402,1266,1206,1254,1306,1214]) ).
thf(1463,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] :
( ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( skc24 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( D @ ( C @ ( B @ ( A @ ssPv17_4r1r1r1r1 ) ) ) )
| ~ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( skc24 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[1462]) ).
thf(29,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] :
( ( skc18 @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ssNder1_0
| ~ ( A @ ssNder1_1r1 )
| ~ ( B @ ( A @ ssNder1_2r1r1 ) )
| ~ ( C @ ( B @ ( A @ ssNder1_3r1r1r1 ) ) )
| ~ ( D @ ( C @ ( B @ ( A @ ssNder1_4r1r1r1r1 ) ) ) )
| ~ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_5r1r1r1r1r1 ) ) ) ) )
| ~ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_6r1r1r1r1r1r1 ) ) ) ) ) )
| ~ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_7r1r1r1r1r1r1r1 ) ) ) ) ) ) )
| ~ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
| ~ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_9r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) )
| ~ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_10r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) )
| ~ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ~ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause29) ).
thf(83,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] :
( ( skc18 @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ssNder1_0
| ~ ( A @ ssNder1_1r1 )
| ~ ( B @ ( A @ ssNder1_2r1r1 ) )
| ~ ( C @ ( B @ ( A @ ssNder1_3r1r1r1 ) ) )
| ~ ( D @ ( C @ ( B @ ( A @ ssNder1_4r1r1r1r1 ) ) ) )
| ~ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_5r1r1r1r1r1 ) ) ) ) )
| ~ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_6r1r1r1r1r1r1 ) ) ) ) ) )
| ~ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_7r1r1r1r1r1r1r1 ) ) ) ) ) ) )
| ~ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
| ~ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_9r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) )
| ~ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_10r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) )
| ~ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ~ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[29]) ).
thf(194,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] :
( ( skc18 @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ssNder1_0
| ~ ( A @ ssNder1_1r1 )
| ~ ( B @ ( A @ ssNder1_2r1r1 ) )
| ~ ( C @ ( B @ ( A @ ssNder1_3r1r1r1 ) ) )
| ~ ( D @ ( C @ ( B @ ( A @ ssNder1_4r1r1r1r1 ) ) ) )
| ~ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_5r1r1r1r1r1 ) ) ) ) )
| ~ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_6r1r1r1r1r1r1 ) ) ) ) ) )
| ~ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_7r1r1r1r1r1r1r1 ) ) ) ) ) ) )
| ~ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
| ~ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_9r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) )
| ~ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_10r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) )
| ~ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ~ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[83]) ).
thf(1290,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] :
( ( skc18 @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true ),
inference(rewrite,[status(thm)],[194,326,199,201,203,299,237,209,402,307,85,279,344,251,221]) ).
thf(1291,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] : ( skc18 @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[1290]) ).
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] :
( ( skc16 @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ssNder1_0
| ~ ( A @ ssNder1_1r1 )
| ~ ( B @ ( A @ ssNder1_2r1r1 ) )
| ~ ( C @ ( B @ ( A @ ssNder1_3r1r1r1 ) ) )
| ~ ( D @ ( C @ ( B @ ( A @ ssNder1_4r1r1r1r1 ) ) ) )
| ~ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_5r1r1r1r1r1 ) ) ) ) )
| ~ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_6r1r1r1r1r1r1 ) ) ) ) ) )
| ~ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_7r1r1r1r1r1r1r1 ) ) ) ) ) ) )
| ~ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
| ~ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_9r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) )
| ~ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_10r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) )
| ~ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ~ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause33) ).
thf(89,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] :
( ( skc16 @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ssNder1_0
| ~ ( A @ ssNder1_1r1 )
| ~ ( B @ ( A @ ssNder1_2r1r1 ) )
| ~ ( C @ ( B @ ( A @ ssNder1_3r1r1r1 ) ) )
| ~ ( D @ ( C @ ( B @ ( A @ ssNder1_4r1r1r1r1 ) ) ) )
| ~ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_5r1r1r1r1r1 ) ) ) ) )
| ~ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_6r1r1r1r1r1r1 ) ) ) ) ) )
| ~ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_7r1r1r1r1r1r1r1 ) ) ) ) ) ) )
| ~ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
| ~ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_9r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) )
| ~ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_10r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) )
| ~ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ~ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[33]) ).
thf(152,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] :
( ( skc16 @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ssNder1_0
| ~ ( A @ ssNder1_1r1 )
| ~ ( B @ ( A @ ssNder1_2r1r1 ) )
| ~ ( C @ ( B @ ( A @ ssNder1_3r1r1r1 ) ) )
| ~ ( D @ ( C @ ( B @ ( A @ ssNder1_4r1r1r1r1 ) ) ) )
| ~ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_5r1r1r1r1r1 ) ) ) ) )
| ~ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_6r1r1r1r1r1r1 ) ) ) ) ) )
| ~ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_7r1r1r1r1r1r1r1 ) ) ) ) ) ) )
| ~ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
| ~ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_9r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) )
| ~ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_10r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) )
| ~ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ~ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[89]) ).
thf(744,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] :
( ( skc16 @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(rewrite,[status(thm)],[152,326,199,201,203,299,237,209,402,307,85,279,344,251,221]) ).
thf(745,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] :
( ( skc16 @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[744]) ).
thf(1241,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] :
( ( skc16 @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(rewrite,[status(thm)],[745,1206]) ).
thf(1242,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] : ( skc16 @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[1241]) ).
thf(60,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] :
( ( D @ ( C @ ( B @ ( A @ ssPv17_4r1r1r1r1 ) ) ) )
| ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv2_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ssNder1_0
| ~ ( A @ ssNder1_1r1 )
| ~ ( B @ ( A @ ssNder1_2r1r1 ) )
| ~ ( C @ ( B @ ( A @ ssNder1_3r1r1r1 ) ) )
| ~ ( D @ ( C @ ( B @ ( A @ ssNder1_4r1r1r1r1 ) ) ) )
| ~ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_5r1r1r1r1r1 ) ) ) ) )
| ~ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_6r1r1r1r1r1r1 ) ) ) ) ) )
| ~ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_7r1r1r1r1r1r1r1 ) ) ) ) ) ) )
| ~ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
| ~ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_9r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) )
| ~ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_10r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) )
| ~ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ~ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause60) ).
thf(87,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] :
( ( D @ ( C @ ( B @ ( A @ ssPv17_4r1r1r1r1 ) ) ) )
| ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv2_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ssNder1_0
| ~ ( A @ ssNder1_1r1 )
| ~ ( B @ ( A @ ssNder1_2r1r1 ) )
| ~ ( C @ ( B @ ( A @ ssNder1_3r1r1r1 ) ) )
| ~ ( D @ ( C @ ( B @ ( A @ ssNder1_4r1r1r1r1 ) ) ) )
| ~ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_5r1r1r1r1r1 ) ) ) ) )
| ~ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_6r1r1r1r1r1r1 ) ) ) ) ) )
| ~ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_7r1r1r1r1r1r1r1 ) ) ) ) ) ) )
| ~ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
| ~ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_9r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) )
| ~ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_10r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) )
| ~ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ~ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[60]) ).
thf(182,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] :
( ( D @ ( C @ ( B @ ( A @ ssPv17_4r1r1r1r1 ) ) ) )
| ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv2_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ssNder1_0
| ~ ( A @ ssNder1_1r1 )
| ~ ( B @ ( A @ ssNder1_2r1r1 ) )
| ~ ( C @ ( B @ ( A @ ssNder1_3r1r1r1 ) ) )
| ~ ( D @ ( C @ ( B @ ( A @ ssNder1_4r1r1r1r1 ) ) ) )
| ~ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_5r1r1r1r1r1 ) ) ) ) )
| ~ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_6r1r1r1r1r1r1 ) ) ) ) ) )
| ~ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_7r1r1r1r1r1r1r1 ) ) ) ) ) ) )
| ~ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
| ~ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_9r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) )
| ~ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_10r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) )
| ~ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ~ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[87]) ).
thf(1313,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] :
( ( D @ ( C @ ( B @ ( A @ ssPv17_4r1r1r1r1 ) ) ) )
| ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv2_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ $true
| ~ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ $true
| ~ $true ),
inference(rewrite,[status(thm)],[182,326,1254,199,201,203,299,237,1264,209,402,1266,307,85,1206,279,344,251,221,1214]) ).
thf(1314,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] :
( ( D @ ( C @ ( B @ ( A @ ssPv17_4r1r1r1r1 ) ) ) )
| ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv2_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[1313]) ).
thf(1315,plain,
! [ZH: $i,ZG: $i,ZF: $i,ZE: $i,ZD: $i,ZC: $i,ZB: $i,ZA: $i,Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,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] :
( ( ( skc16 @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
!= ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( S @ ( R @ ( Q @ ( P @ ssPv17_4r1r1r1r1 ) ) ) )
| ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ssPv2_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1242,1314]) ).
thf(1316,plain,
! [ZH: $i,ZG: $i,ZF: $i,ZE: $i,ZD: $i,ZC: $i,ZB: $i,ZA: $i,Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,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] :
( ( ( skc16 @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
!= ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( S @ ( R @ ( Q @ ( P @ ssPv17_4r1r1r1r1 ) ) ) )
| ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ssPv2_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[1315]) ).
thf(1317,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: $i] :
( ( D @ ( C @ ( B @ ( A @ ssPv17_4r1r1r1r1 ) ) ) )
| ( R @ ( Q @ ( P @ ( skc16 @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv2_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[1316:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( C )),bind(D,$thf( D )),bind(E,$thf( E )),bind(F,$thf( F )),bind(G,$thf( G )),bind(H,$thf( H )),bind(I,$thf( I )),bind(J,$thf( J )),bind(K,$thf( K )),bind(L,$thf( L )),bind(M,$thf( M )),bind(N,$thf( N )),bind(O,$thf( O )),bind(P,$thf( A )),bind(Q,$thf( B )),bind(R,$thf( C )),bind(S,$thf( D )),bind(T,$thf( E )),bind(U,$thf( F )),bind(V,$thf( G )),bind(W,$thf( H )),bind(X,$thf( I )),bind(Y,$thf( J )),bind(Z,$thf( K )),bind(ZA,$thf( L )),bind(ZB,$thf( M )),bind(ZC,$thf( N )),bind(ZD,$thf( O )),bind(ZE,$thf( skc16 ))]]) ).
thf(1324,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] :
( ( D @ ( C @ ( B @ ( A @ ssPv17_4r1r1r1r1 ) ) ) )
| ( R @ ( Q @ ( P @ ( skc16 @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv2_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[1317]) ).
thf(1339,plain,
! [ZF: $i,ZE: $i,ZD: $i,ZC: $i,ZB: $i,ZA: $i,Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,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] :
( ( ( skc18 @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
!= ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( R @ ( Q @ ( P @ ( O @ ssPv17_4r1r1r1r1 ) ) ) )
| ( ZF @ ( ZE @ ( ZD @ ( skc16 @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ssPv2_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1291,1324]) ).
thf(1340,plain,
! [ZF: $i,ZE: $i,ZD: $i,ZC: $i,ZB: $i,ZA: $i,Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,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] :
( ( ( skc18 @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
!= ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( R @ ( Q @ ( P @ ( O @ ssPv17_4r1r1r1r1 ) ) ) )
| ( ZF @ ( ZE @ ( ZD @ ( skc16 @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ssPv2_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[1339]) ).
thf(1341,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: $i] :
( ( D @ ( C @ ( B @ ( A @ ssPv17_4r1r1r1r1 ) ) ) )
| ( Q @ ( P @ ( O @ ( skc16 @ ( skc18 @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv2_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[1340:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( C )),bind(D,$thf( D )),bind(E,$thf( E )),bind(F,$thf( F )),bind(G,$thf( G )),bind(H,$thf( H )),bind(I,$thf( I )),bind(J,$thf( J )),bind(K,$thf( K )),bind(L,$thf( L )),bind(M,$thf( M )),bind(N,$thf( N )),bind(O,$thf( A )),bind(P,$thf( B )),bind(Q,$thf( C )),bind(R,$thf( D )),bind(S,$thf( E )),bind(T,$thf( F )),bind(U,$thf( G )),bind(V,$thf( H )),bind(W,$thf( I )),bind(X,$thf( J )),bind(Y,$thf( K )),bind(Z,$thf( L )),bind(ZA,$thf( M )),bind(ZB,$thf( N )),bind(ZC,$thf( skc18 ))]]) ).
thf(1348,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] :
( ( D @ ( C @ ( B @ ( A @ ssPv17_4r1r1r1r1 ) ) ) )
| ( Q @ ( P @ ( O @ ( skc16 @ ( skc18 @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv2_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[1341]) ).
thf(1802,plain,
! [ZH: $i,ZG: $i,ZF: $i,ZE: $i,ZD: $i,ZC: $i,ZB: $i,ZA: $i,Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,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] :
( ( ( Q @ ( P @ ( O @ ( skc16 @ ( skc18 @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv2_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
!= ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( skc20 @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( skc30 @ ( U @ ( T @ ( S @ ( R @ ssPv2_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( skc30 @ ( U @ ( T @ ( S @ ( R @ ssPv10_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ~ $true
| ( D @ ( C @ ( B @ ( A @ ssPv17_4r1r1r1r1 ) ) ) ) ),
inference(paramod_ordered,[status(thm)],[1348,1783]) ).
thf(1803,plain,
! [ZH: $i,ZG: $i,ZF: $i,ZE: $i,ZD: $i,ZC: $i,ZB: $i,ZA: $i,Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,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] :
( ( ( Q @ ( P @ ( O @ ( skc16 @ ( skc18 @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv2_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
!= ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( skc20 @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( skc30 @ ( U @ ( T @ ( S @ ( R @ ssPv2_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( skc30 @ ( U @ ( T @ ( S @ ( R @ ssPv10_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ( D @ ( C @ ( B @ ( A @ ssPv17_4r1r1r1r1 ) ) ) ) ),
inference(simp,[status(thm)],[1802]) ).
thf(1804,plain,
! [J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( skc30 @ ( D @ ( C @ ( B @ ( A @ ssPv10_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ( D @ ( C @ ( B @ ( A @ ssPv17_4r1r1r1r1 ) ) ) ) ),
inference(pattern_uni,[status(thm)],[1803:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( C )),bind(D,$thf( D )),bind(E,$thf( skc30 )),bind(F,$thf( F )),bind(G,$thf( G )),bind(H,$thf( H )),bind(I,$thf( I )),bind(J,$thf( J )),bind(K,$thf( K )),bind(L,$thf( L )),bind(M,$thf( M )),bind(N,$thf( skc20 )),bind(O,$thf( O )),bind(P,$thf( P )),bind(Q,$thf( Q )),bind(R,$thf( A )),bind(S,$thf( B )),bind(T,$thf( C )),bind(U,$thf( D )),bind(V,$thf( F )),bind(W,$thf( G )),bind(X,$thf( H )),bind(Y,$thf( I )),bind(Z,$thf( J )),bind(ZA,$thf( K )),bind(ZB,$thf( L )),bind(ZC,$thf( M )),bind(ZD,$thf( skc18 )),bind(ZE,$thf( skc16 )),bind(ZF,$thf( O )),bind(ZG,$thf( P )),bind(ZH,$thf( Q ))]]) ).
thf(1812,plain,
! [J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( skc30 @ ( D @ ( C @ ( B @ ( A @ ssPv10_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ( D @ ( C @ ( B @ ( A @ ssPv17_4r1r1r1r1 ) ) ) ) ),
inference(simp,[status(thm)],[1804]) ).
thf(40,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] :
( ( C @ ( B @ ( A @ ssPv18_3r1r1r1 ) ) )
| ( E @ ( D @ ( C @ ( B @ ( A @ ssPv16_5r1r1r1r1r1 ) ) ) ) )
| ~ ssNder1_0
| ~ ( A @ ssNder1_1r1 )
| ~ ( A @ ssPv20_1r1 )
| ~ ( B @ ( A @ ssNder1_2r1r1 ) )
| ~ ( C @ ( B @ ( A @ ssNder1_3r1r1r1 ) ) )
| ~ ( D @ ( C @ ( B @ ( A @ ssNder1_4r1r1r1r1 ) ) ) )
| ~ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_5r1r1r1r1r1 ) ) ) ) )
| ~ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_6r1r1r1r1r1r1 ) ) ) ) ) )
| ~ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_7r1r1r1r1r1r1r1 ) ) ) ) ) ) )
| ~ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
| ~ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_9r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) )
| ~ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_10r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) )
| ~ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ~ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause40) ).
thf(120,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] :
( ( C @ ( B @ ( A @ ssPv18_3r1r1r1 ) ) )
| ( E @ ( D @ ( C @ ( B @ ( A @ ssPv16_5r1r1r1r1r1 ) ) ) ) )
| ~ ssNder1_0
| ~ ( A @ ssNder1_1r1 )
| ~ ( A @ ssPv20_1r1 )
| ~ ( B @ ( A @ ssNder1_2r1r1 ) )
| ~ ( C @ ( B @ ( A @ ssNder1_3r1r1r1 ) ) )
| ~ ( D @ ( C @ ( B @ ( A @ ssNder1_4r1r1r1r1 ) ) ) )
| ~ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_5r1r1r1r1r1 ) ) ) ) )
| ~ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_6r1r1r1r1r1r1 ) ) ) ) ) )
| ~ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_7r1r1r1r1r1r1r1 ) ) ) ) ) ) )
| ~ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
| ~ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_9r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) )
| ~ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_10r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) )
| ~ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ~ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[40]) ).
thf(143,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] :
( ( C @ ( B @ ( A @ ssPv18_3r1r1r1 ) ) )
| ( E @ ( D @ ( C @ ( B @ ( A @ ssPv16_5r1r1r1r1r1 ) ) ) ) )
| ~ ssNder1_0
| ~ ( A @ ssNder1_1r1 )
| ~ ( A @ ssPv20_1r1 )
| ~ ( B @ ( A @ ssNder1_2r1r1 ) )
| ~ ( C @ ( B @ ( A @ ssNder1_3r1r1r1 ) ) )
| ~ ( D @ ( C @ ( B @ ( A @ ssNder1_4r1r1r1r1 ) ) ) )
| ~ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_5r1r1r1r1r1 ) ) ) ) )
| ~ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_6r1r1r1r1r1r1 ) ) ) ) ) )
| ~ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_7r1r1r1r1r1r1r1 ) ) ) ) ) ) )
| ~ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
| ~ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_9r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) )
| ~ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_10r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) )
| ~ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ~ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[120]) ).
thf(423,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] :
( ( C @ ( B @ ( A @ ssPv18_3r1r1r1 ) ) )
| ( E @ ( D @ ( C @ ( B @ ( A @ ssPv16_5r1r1r1r1r1 ) ) ) ) )
| ~ $true
| ~ $true
| ~ ( A @ ssPv20_1r1 )
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(rewrite,[status(thm)],[143,326,199,201,203,299,237,209,402,307,85,279,344,251,221]) ).
thf(424,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] :
( ( C @ ( B @ ( A @ ssPv18_3r1r1r1 ) ) )
| ( E @ ( D @ ( C @ ( B @ ( A @ ssPv16_5r1r1r1r1r1 ) ) ) ) )
| ~ ( A @ ssPv20_1r1 )
| ~ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[423]) ).
thf(746,plain,
! [ZE: $i,ZD: $i,ZC: $i,ZB: $i,ZA: $i,Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,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] :
( ( ( skc16 @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
!= ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( R @ ( Q @ ( P @ ssPv18_3r1r1r1 ) ) )
| ( T @ ( S @ ( R @ ( Q @ ( P @ ssPv16_5r1r1r1r1r1 ) ) ) ) )
| ~ ( P @ ssPv20_1r1 )
| ~ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ $true
| ~ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(paramod_ordered,[status(thm)],[745,424]) ).
thf(747,plain,
! [ZE: $i,ZD: $i,ZC: $i,ZB: $i,ZA: $i,Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,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] :
( ( ( skc16 @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
!= ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( R @ ( Q @ ( P @ ssPv18_3r1r1r1 ) ) )
| ( T @ ( S @ ( R @ ( Q @ ( P @ ssPv16_5r1r1r1r1r1 ) ) ) ) )
| ~ ( P @ ssPv20_1r1 )
| ~ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[746]) ).
thf(748,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: $i] :
( ( C @ ( B @ ( A @ ssPv18_3r1r1r1 ) ) )
| ( E @ ( D @ ( C @ ( B @ ( A @ ssPv16_5r1r1r1r1r1 ) ) ) ) )
| ~ ( A @ ssPv20_1r1 )
| ~ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[747:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( C )),bind(D,$thf( D )),bind(E,$thf( E )),bind(F,$thf( F )),bind(G,$thf( G )),bind(H,$thf( H )),bind(I,$thf( I )),bind(J,$thf( J )),bind(K,$thf( K )),bind(L,$thf( L )),bind(M,$thf( M )),bind(N,$thf( N )),bind(O,$thf( O )),bind(P,$thf( A )),bind(Q,$thf( B )),bind(R,$thf( C )),bind(S,$thf( D )),bind(T,$thf( E )),bind(U,$thf( F )),bind(V,$thf( G )),bind(W,$thf( H )),bind(X,$thf( I )),bind(Y,$thf( J )),bind(Z,$thf( K )),bind(ZA,$thf( L )),bind(ZB,$thf( M )),bind(ZC,$thf( N )),bind(ZD,$thf( O )),bind(ZE,$thf( skc16 ))]]) ).
thf(776,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] :
( ( C @ ( B @ ( A @ ssPv18_3r1r1r1 ) ) )
| ( E @ ( D @ ( C @ ( B @ ( A @ ssPv16_5r1r1r1r1r1 ) ) ) ) )
| ~ ( A @ ssPv20_1r1 )
| ~ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[748]) ).
thf(949,plain,
! [ZD: $i,ZC: $i,ZB: $i,ZA: $i,Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,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] :
( ( ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
!= ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( R @ ( Q @ ( P @ ssPv18_3r1r1r1 ) ) )
| ( T @ ( S @ ( R @ ( Q @ ( P @ ssPv16_5r1r1r1r1r1 ) ) ) ) )
| ~ ( P @ ssPv20_1r1 )
| ~ $true
| ~ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(paramod_ordered,[status(thm)],[882,776]) ).
thf(950,plain,
! [ZD: $i,ZC: $i,ZB: $i,ZA: $i,Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,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] :
( ( ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
!= ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( R @ ( Q @ ( P @ ssPv18_3r1r1r1 ) ) )
| ( T @ ( S @ ( R @ ( Q @ ( P @ ssPv16_5r1r1r1r1r1 ) ) ) ) )
| ~ ( P @ ssPv20_1r1 )
| ~ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[949]) ).
thf(951,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: $i] :
( ( C @ ( B @ ( A @ ssPv18_3r1r1r1 ) ) )
| ( E @ ( D @ ( C @ ( B @ ( A @ ssPv16_5r1r1r1r1r1 ) ) ) ) )
| ~ ( A @ ssPv20_1r1 )
| ~ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[950:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( C )),bind(D,$thf( D )),bind(E,$thf( E )),bind(F,$thf( F )),bind(G,$thf( G )),bind(H,$thf( H )),bind(I,$thf( I )),bind(J,$thf( J )),bind(K,$thf( K )),bind(L,$thf( L )),bind(M,$thf( M )),bind(N,$thf( N )),bind(O,$thf( O )),bind(P,$thf( A )),bind(Q,$thf( B )),bind(R,$thf( C )),bind(S,$thf( D )),bind(T,$thf( E )),bind(U,$thf( F )),bind(V,$thf( G )),bind(W,$thf( H )),bind(X,$thf( I )),bind(Y,$thf( J )),bind(Z,$thf( K )),bind(ZA,$thf( L )),bind(ZB,$thf( M )),bind(ZC,$thf( N )),bind(ZD,$thf( O ))]]) ).
thf(981,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] :
( ( C @ ( B @ ( A @ ssPv18_3r1r1r1 ) ) )
| ( E @ ( D @ ( C @ ( B @ ( A @ ssPv16_5r1r1r1r1r1 ) ) ) ) )
| ~ ( A @ ssPv20_1r1 )
| ~ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[951]) ).
thf(1219,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( A @ ssPv18_3r1r1r1 ) ) )
| ( E @ ( D @ ( C @ ( B @ ( A @ ssPv16_5r1r1r1r1r1 ) ) ) ) )
| ~ ( A @ ssPv20_1r1 )
| ~ $true ),
inference(rewrite,[status(thm)],[981,1206]) ).
thf(1220,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( A @ ssPv18_3r1r1r1 ) ) )
| ( E @ ( D @ ( C @ ( B @ ( A @ ssPv16_5r1r1r1r1r1 ) ) ) ) )
| ~ ( A @ ssPv20_1r1 ) ),
inference(simp,[status(thm)],[1219]) ).
thf(7,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ssNder1_0
| ~ ( A @ ssNder1_1r1 )
| ~ ( B @ ( A @ ssNder1_2r1r1 ) )
| ~ ( C @ ( B @ ( A @ ssNder1_3r1r1r1 ) ) )
| ~ ( skc31 @ ( D @ ( C @ ( B @ ( A @ ssPv16_5r1r1r1r1r1 ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause7) ).
thf(108,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ssNder1_0
| ~ ( A @ ssNder1_1r1 )
| ~ ( B @ ( A @ ssNder1_2r1r1 ) )
| ~ ( C @ ( B @ ( A @ ssNder1_3r1r1r1 ) ) )
| ~ ( skc31 @ ( D @ ( C @ ( B @ ( A @ ssPv16_5r1r1r1r1r1 ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(174,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ssNder1_0
| ~ ( A @ ssNder1_1r1 )
| ~ ( B @ ( A @ ssNder1_2r1r1 ) )
| ~ ( C @ ( B @ ( A @ ssNder1_3r1r1r1 ) ) )
| ~ ( skc31 @ ( D @ ( C @ ( B @ ( A @ ssPv16_5r1r1r1r1r1 ) ) ) ) ) ),
inference(cnf,[status(esa)],[108]) ).
thf(204,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ ( skc31 @ ( D @ ( C @ ( B @ ( A @ ssPv16_5r1r1r1r1r1 ) ) ) ) ) ),
inference(rewrite,[status(thm)],[174,85,199,201,203]) ).
thf(205,plain,
! [D: $i,C: $i,B: $i,A: $i] :
~ ( skc31 @ ( D @ ( C @ ( B @ ( A @ ssPv16_5r1r1r1r1r1 ) ) ) ) ),
inference(simp,[status(thm)],[204]) ).
thf(1271,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( E @ ( D @ ( C @ ( B @ ( A @ ssPv16_5r1r1r1r1r1 ) ) ) ) )
!= ( skc31 @ ( I @ ( H @ ( G @ ( F @ ssPv16_5r1r1r1r1r1 ) ) ) ) ) )
| ~ $true
| ( C @ ( B @ ( A @ ssPv18_3r1r1r1 ) ) )
| ~ ( A @ ssPv20_1r1 ) ),
inference(paramod_ordered,[status(thm)],[1220,205]) ).
thf(1272,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( E @ ( D @ ( C @ ( B @ ( A @ ssPv16_5r1r1r1r1r1 ) ) ) ) )
!= ( skc31 @ ( I @ ( H @ ( G @ ( F @ ssPv16_5r1r1r1r1r1 ) ) ) ) ) )
| ( C @ ( B @ ( A @ ssPv18_3r1r1r1 ) ) )
| ~ ( A @ ssPv20_1r1 ) ),
inference(simp,[status(thm)],[1271]) ).
thf(1273,plain,
! [C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( A @ ssPv18_3r1r1r1 ) ) )
| ~ ( A @ ssPv20_1r1 ) ),
inference(pattern_uni,[status(thm)],[1272:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( C )),bind(D,$thf( D )),bind(E,$thf( skc31 )),bind(F,$thf( A )),bind(G,$thf( B )),bind(H,$thf( C )),bind(I,$thf( D ))]]) ).
thf(35,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] :
( ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv15_6r1r1r1r1r1r1 ) ) ) ) ) )
| ~ ssNder1_0
| ~ ( A @ ssNder1_1r1 )
| ~ ( B @ ( A @ ssNder1_2r1r1 ) )
| ~ ( C @ ( B @ ( A @ ssNder1_3r1r1r1 ) ) )
| ~ ( C @ ( B @ ( A @ ssPv18_3r1r1r1 ) ) )
| ~ ( D @ ( C @ ( B @ ( A @ ssNder1_4r1r1r1r1 ) ) ) )
| ~ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_5r1r1r1r1r1 ) ) ) ) )
| ~ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_6r1r1r1r1r1r1 ) ) ) ) ) )
| ~ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_7r1r1r1r1r1r1r1 ) ) ) ) ) ) )
| ~ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
| ~ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_9r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) )
| ~ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_10r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) )
| ~ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ~ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv10_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ~ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause35) ).
thf(111,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] :
( ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv15_6r1r1r1r1r1r1 ) ) ) ) ) )
| ~ ssNder1_0
| ~ ( A @ ssNder1_1r1 )
| ~ ( B @ ( A @ ssNder1_2r1r1 ) )
| ~ ( C @ ( B @ ( A @ ssNder1_3r1r1r1 ) ) )
| ~ ( C @ ( B @ ( A @ ssPv18_3r1r1r1 ) ) )
| ~ ( D @ ( C @ ( B @ ( A @ ssNder1_4r1r1r1r1 ) ) ) )
| ~ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_5r1r1r1r1r1 ) ) ) ) )
| ~ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_6r1r1r1r1r1r1 ) ) ) ) ) )
| ~ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_7r1r1r1r1r1r1r1 ) ) ) ) ) ) )
| ~ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
| ~ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_9r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) )
| ~ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_10r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) )
| ~ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ~ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv10_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ~ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[35]) ).
thf(197,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] :
( ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv15_6r1r1r1r1r1r1 ) ) ) ) ) )
| ~ ssNder1_0
| ~ ( A @ ssNder1_1r1 )
| ~ ( B @ ( A @ ssNder1_2r1r1 ) )
| ~ ( C @ ( B @ ( A @ ssNder1_3r1r1r1 ) ) )
| ~ ( C @ ( B @ ( A @ ssPv18_3r1r1r1 ) ) )
| ~ ( D @ ( C @ ( B @ ( A @ ssNder1_4r1r1r1r1 ) ) ) )
| ~ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_5r1r1r1r1r1 ) ) ) ) )
| ~ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_6r1r1r1r1r1r1 ) ) ) ) ) )
| ~ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_7r1r1r1r1r1r1r1 ) ) ) ) ) ) )
| ~ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
| ~ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_9r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) )
| ~ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_10r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) )
| ~ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ~ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv10_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ~ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[111]) ).
thf(657,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] :
( ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv15_6r1r1r1r1r1r1 ) ) ) ) ) )
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ ( C @ ( B @ ( A @ ssPv18_3r1r1r1 ) ) )
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv10_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ~ $true
| ~ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(rewrite,[status(thm)],[197,326,199,201,203,299,237,209,402,307,85,279,344,251,221]) ).
thf(658,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] :
( ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv15_6r1r1r1r1r1r1 ) ) ) ) ) )
| ~ ( C @ ( B @ ( A @ ssPv18_3r1r1r1 ) ) )
| ~ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv10_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ~ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[657]) ).
thf(659,plain,
! [ZA: $i,Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,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] :
( ( ( skc20 @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) )
!= ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ssPv15_6r1r1r1r1r1r1 ) ) ) ) ) )
| ~ ( P @ ( O @ ( N @ ssPv18_3r1r1r1 ) ) )
| ~ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ssPv10_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[450,658]) ).
thf(660,plain,
! [ZA: $i,Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,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] :
( ( ( skc20 @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) )
!= ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ssPv15_6r1r1r1r1r1r1 ) ) ) ) ) )
| ~ ( P @ ( O @ ( N @ ssPv18_3r1r1r1 ) ) )
| ~ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ssPv10_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[659]) ).
thf(661,plain,
! [K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv15_6r1r1r1r1r1r1 ) ) ) ) ) )
| ~ ( C @ ( B @ ( A @ ssPv18_3r1r1r1 ) ) )
| ~ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv10_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[660:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( C )),bind(D,$thf( D )),bind(E,$thf( E )),bind(F,$thf( F )),bind(G,$thf( G )),bind(H,$thf( H )),bind(I,$thf( I )),bind(J,$thf( J )),bind(K,$thf( K )),bind(L,$thf( L )),bind(M,$thf( M )),bind(N,$thf( A )),bind(O,$thf( B )),bind(P,$thf( C )),bind(Q,$thf( D )),bind(R,$thf( E )),bind(S,$thf( F )),bind(T,$thf( G )),bind(U,$thf( H )),bind(V,$thf( I )),bind(W,$thf( J )),bind(X,$thf( K )),bind(Y,$thf( L )),bind(Z,$thf( M )),bind(ZA,$thf( skc20 ))]]) ).
thf(1274,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] :
( ( ( C @ ( B @ ( A @ ssPv18_3r1r1r1 ) ) )
!= ( F @ ( E @ ( D @ ssPv18_3r1r1r1 ) ) ) )
| ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ssPv15_6r1r1r1r1r1r1 ) ) ) ) ) )
| ~ $true
| ~ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ssPv10_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ~ ( A @ ssPv20_1r1 ) ),
inference(paramod_ordered,[status(thm)],[1273,661]) ).
thf(1275,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] :
( ( ( C @ ( B @ ( A @ ssPv18_3r1r1r1 ) ) )
!= ( F @ ( E @ ( D @ ssPv18_3r1r1r1 ) ) ) )
| ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ssPv15_6r1r1r1r1r1r1 ) ) ) ) ) )
| ~ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ssPv10_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ~ ( A @ ssPv20_1r1 ) ),
inference(simp,[status(thm)],[1274]) ).
thf(1276,plain,
! [K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv15_6r1r1r1r1r1r1 ) ) ) ) ) )
| ~ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv10_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ~ ( A @ ssPv20_1r1 ) ),
inference(pattern_uni,[status(thm)],[1275:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( C )),bind(D,$thf( A )),bind(E,$thf( B )),bind(F,$thf( C ))]]) ).
thf(1277,plain,
! [K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv15_6r1r1r1r1r1r1 ) ) ) ) ) )
| ~ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv10_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ~ ( A @ ssPv20_1r1 ) ),
inference(simp,[status(thm)],[1276]) ).
thf(1820,plain,
! [U: $i,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] :
( ( ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( skc30 @ ( D @ ( C @ ( B @ ( A @ ssPv10_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
!= ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ssPv10_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) )
| ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ssPv15_6r1r1r1r1r1r1 ) ) ) ) ) )
| ~ $true
| ~ ( K @ ssPv20_1r1 )
| ( D @ ( C @ ( B @ ( A @ ssPv17_4r1r1r1r1 ) ) ) ) ),
inference(paramod_ordered,[status(thm)],[1812,1277]) ).
thf(1821,plain,
! [U: $i,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] :
( ( ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( skc30 @ ( D @ ( C @ ( B @ ( A @ ssPv10_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
!= ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ssPv10_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) )
| ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ssPv15_6r1r1r1r1r1r1 ) ) ) ) ) )
| ~ ( K @ ssPv20_1r1 )
| ( D @ ( C @ ( B @ ( A @ ssPv17_4r1r1r1r1 ) ) ) ) ),
inference(simp,[status(thm)],[1820]) ).
thf(1822,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( E @ ( skc30 @ ( D @ ( C @ ( B @ ( A @ ssPv15_6r1r1r1r1r1r1 ) ) ) ) ) )
| ~ ( A @ ssPv20_1r1 )
| ( D @ ( C @ ( B @ ( A @ ssPv17_4r1r1r1r1 ) ) ) ) ),
inference(pattern_uni,[status(thm)],[1821:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( C )),bind(D,$thf( D )),bind(E,$thf( E )),bind(F,$thf( F )),bind(G,$thf( G )),bind(H,$thf( H )),bind(I,$thf( I )),bind(J,$thf( J )),bind(K,$thf( A )),bind(L,$thf( B )),bind(M,$thf( C )),bind(N,$thf( D )),bind(O,$thf( skc30 )),bind(P,$thf( E )),bind(Q,$thf( F )),bind(R,$thf( G )),bind(S,$thf( H )),bind(T,$thf( I )),bind(U,$thf( J ))]]) ).
thf(1829,plain,
! [J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( E @ ( skc30 @ ( D @ ( C @ ( B @ ( A @ ssPv15_6r1r1r1r1r1r1 ) ) ) ) ) )
!= ( skc29 @ ( J @ ( I @ ( H @ ( G @ ( F @ ssPv15_6r1r1r1r1r1r1 ) ) ) ) ) ) )
| ~ $true
| ~ ( A @ ssPv20_1r1 )
| ( D @ ( C @ ( B @ ( A @ ssPv17_4r1r1r1r1 ) ) ) ) ),
inference(paramod_ordered,[status(thm)],[1822,211]) ).
thf(1830,plain,
! [J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( E @ ( skc30 @ ( D @ ( C @ ( B @ ( A @ ssPv15_6r1r1r1r1r1r1 ) ) ) ) ) )
!= ( skc29 @ ( J @ ( I @ ( H @ ( G @ ( F @ ssPv15_6r1r1r1r1r1r1 ) ) ) ) ) ) )
| ~ ( A @ ssPv20_1r1 )
| ( D @ ( C @ ( B @ ( A @ ssPv17_4r1r1r1r1 ) ) ) ) ),
inference(simp,[status(thm)],[1829]) ).
thf(1831,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( A @ ssPv20_1r1 )
| ( D @ ( C @ ( B @ ( A @ ssPv17_4r1r1r1r1 ) ) ) ) ),
inference(pattern_uni,[status(thm)],[1830:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( C )),bind(D,$thf( D )),bind(E,$thf( skc29 )),bind(F,$thf( A )),bind(G,$thf( B )),bind(H,$thf( C )),bind(I,$thf( D )),bind(J,$thf( skc30 ))]]) ).
thf(2193,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ $true
| ( D @ ( C @ ( B @ ( A @ ssPv17_4r1r1r1r1 ) ) ) ) ),
inference(rewrite,[status(thm)],[1831,2185]) ).
thf(2194,plain,
! [D: $i,C: $i,B: $i,A: $i] : ( D @ ( C @ ( B @ ( A @ ssPv17_4r1r1r1r1 ) ) ) ),
inference(simp,[status(thm)],[2193]) ).
thf(2242,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] :
( ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( skc24 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ $true
| ~ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( skc24 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(rewrite,[status(thm)],[1463,2194]) ).
thf(2243,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] :
( ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( skc24 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( skc24 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[2242]) ).
thf(2315,plain,
! [ZL: $i,ZK: $i,ZJ: $i,ZI: $i,ZH: $i,ZG: $i,ZF: $i,ZE: $i,ZD: $i,ZC: $i,ZB: $i,ZA: $i,Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,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] :
( ( ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( skc26 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
!= ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( skc24 @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ssPv1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( skc24 @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ $true
| ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( skc26 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(paramod_ordered,[status(thm)],[2246,2243]) ).
thf(2316,plain,
! [ZL: $i,ZK: $i,ZJ: $i,ZI: $i,ZH: $i,ZG: $i,ZF: $i,ZE: $i,ZD: $i,ZC: $i,ZB: $i,ZA: $i,Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,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] :
( ( ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( skc26 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
!= ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( skc24 @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ssPv1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( skc24 @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( skc26 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[2315]) ).
thf(2317,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: $i] :
( ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( skc24 @ ( skc26 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( skc24 @ ( skc26 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[2316:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( C )),bind(D,$thf( D )),bind(E,$thf( E )),bind(F,$thf( F )),bind(G,$thf( skc24 )),bind(H,$thf( H )),bind(I,$thf( I )),bind(J,$thf( J )),bind(K,$thf( K )),bind(L,$thf( L )),bind(M,$thf( M )),bind(N,$thf( N )),bind(O,$thf( O )),bind(P,$thf( P )),bind(Q,$thf( Q )),bind(R,$thf( R )),bind(S,$thf( S )),bind(T,$thf( A )),bind(U,$thf( B )),bind(V,$thf( C )),bind(W,$thf( D )),bind(X,$thf( E )),bind(Y,$thf( F )),bind(Z,$thf( skc26 )),bind(ZA,$thf( H )),bind(ZB,$thf( I )),bind(ZC,$thf( J )),bind(ZD,$thf( K )),bind(ZE,$thf( L )),bind(ZF,$thf( M )),bind(ZG,$thf( N )),bind(ZH,$thf( O )),bind(ZI,$thf( P )),bind(ZJ,$thf( Q )),bind(ZK,$thf( R )),bind(ZL,$thf( S ))]]) ).
thf(2320,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] :
( ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( skc24 @ ( skc26 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( skc24 @ ( skc26 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[2317]) ).
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_0
| ~ ( A @ ssNder1_1r1 )
| ~ ( B @ ( A @ ssNder1_2r1r1 ) )
| ~ ( C @ ( B @ ( A @ ssNder1_3r1r1r1 ) ) )
| ~ ( D @ ( C @ ( B @ ( A @ ssNder1_4r1r1r1r1 ) ) ) )
| ~ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_5r1r1r1r1r1 ) ) ) ) )
| ~ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_6r1r1r1r1r1r1 ) ) ) ) ) )
| ~ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_7r1r1r1r1r1r1r1 ) ) ) ) ) ) )
| ~ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
| ~ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_9r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) )
| ~ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_10r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) )
| ~ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ~ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( skc17 @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause34) ).
thf(100,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_0
| ~ ( A @ ssNder1_1r1 )
| ~ ( B @ ( A @ ssNder1_2r1r1 ) )
| ~ ( C @ ( B @ ( A @ ssNder1_3r1r1r1 ) ) )
| ~ ( D @ ( C @ ( B @ ( A @ ssNder1_4r1r1r1r1 ) ) ) )
| ~ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_5r1r1r1r1r1 ) ) ) ) )
| ~ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_6r1r1r1r1r1r1 ) ) ) ) ) )
| ~ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_7r1r1r1r1r1r1r1 ) ) ) ) ) ) )
| ~ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
| ~ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_9r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) )
| ~ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_10r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) )
| ~ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ~ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( skc17 @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[34]) ).
thf(195,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_0
| ~ ( A @ ssNder1_1r1 )
| ~ ( B @ ( A @ ssNder1_2r1r1 ) )
| ~ ( C @ ( B @ ( A @ ssNder1_3r1r1r1 ) ) )
| ~ ( D @ ( C @ ( B @ ( A @ ssNder1_4r1r1r1r1 ) ) ) )
| ~ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_5r1r1r1r1r1 ) ) ) ) )
| ~ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_6r1r1r1r1r1r1 ) ) ) ) ) )
| ~ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_7r1r1r1r1r1r1r1 ) ) ) ) ) ) )
| ~ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
| ~ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_9r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) )
| ~ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_10r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) )
| ~ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ~ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( skc17 @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[100]) ).
thf(319,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] :
( ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ~ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( skc17 @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(rewrite,[status(thm)],[195,209,307,85,199,279,201,203,251,299,221,237]) ).
thf(320,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] :
( ~ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ~ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( skc17 @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[319]) ).
thf(335,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] :
( ~ $true
| ~ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( skc17 @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(rewrite,[status(thm)],[320,326]) ).
thf(336,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] :
( ~ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( skc17 @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[335]) ).
thf(353,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] :
( ~ $true
| ~ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( skc17 @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(rewrite,[status(thm)],[336,344]) ).
thf(354,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] :
( ~ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( skc17 @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[353]) ).
thf(407,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] :
( ~ $true
| ~ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( skc17 @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(rewrite,[status(thm)],[354,402]) ).
thf(408,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] :
( ~ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( skc17 @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[407]) ).
thf(1215,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] :
( ~ $true
| ~ ( skc17 @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(rewrite,[status(thm)],[408,1206]) ).
thf(1216,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] :
~ ( skc17 @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[1215]) ).
thf(2321,plain,
! [ZC: $i,ZB: $i,ZA: $i,Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,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] :
( ( ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( skc24 @ ( skc26 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
!= ( skc17 @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ $true
| ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( skc24 @ ( skc26 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(paramod_ordered,[status(thm)],[2320,1216]) ).
thf(2322,plain,
! [ZC: $i,ZB: $i,ZA: $i,Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,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] :
( ( ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( skc24 @ ( skc26 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
!= ( skc17 @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( skc24 @ ( skc26 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[2321]) ).
thf(2323,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: $i] : ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( skc24 @ ( skc26 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[2322:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( C )),bind(D,$thf( D )),bind(E,$thf( E )),bind(F,$thf( F )),bind(G,$thf( G )),bind(H,$thf( H )),bind(I,$thf( I )),bind(J,$thf( J )),bind(K,$thf( K )),bind(L,$thf( L )),bind(M,$thf( M )),bind(N,$thf( skc17 )),bind(O,$thf( A )),bind(P,$thf( B )),bind(Q,$thf( C )),bind(R,$thf( D )),bind(S,$thf( E )),bind(T,$thf( F )),bind(U,$thf( skc26 )),bind(V,$thf( skc24 )),bind(W,$thf( G )),bind(X,$thf( H )),bind(Y,$thf( I )),bind(Z,$thf( J )),bind(ZA,$thf( K )),bind(ZB,$thf( L )),bind(ZC,$thf( M ))]]) ).
thf(2330,plain,
! [ZA: $i,Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,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] :
( ( ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( skc24 @ ( skc26 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
!= ( skc19 @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[2323,410]) ).
thf(2331,plain,
! [ZA: $i,Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,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] :
( ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( skc24 @ ( skc26 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
!= ( skc19 @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[2330]) ).
thf(2332,plain,
$false,
inference(pattern_uni,[status(thm)],[2331:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( C )),bind(D,$thf( D )),bind(E,$thf( E )),bind(F,$thf( F )),bind(G,$thf( G )),bind(H,$thf( H )),bind(I,$thf( I )),bind(J,$thf( J )),bind(K,$thf( K )),bind(L,$thf( L )),bind(M,$thf( skc19 )),bind(N,$thf( A )),bind(O,$thf( B )),bind(P,$thf( C )),bind(Q,$thf( D )),bind(R,$thf( E )),bind(S,$thf( F )),bind(T,$thf( skc26 )),bind(U,$thf( skc24 )),bind(V,$thf( G )),bind(W,$thf( H )),bind(X,$thf( I )),bind(Y,$thf( J )),bind(Z,$thf( K )),bind(ZA,$thf( L ))]]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN873-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.08 % Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39
% 0.14/0.38 % Computer : n005.cluster.edu
% 0.14/0.38 % Model : x86_64 x86_64
% 0.14/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.38 % Memory : 8046.5625MB
% 0.14/0.38 % OS : Linux 6.8.0-71-generic
% 0.14/0.38 % CPULimit : 300
% 0.14/0.38 % WCLimit : 300
% 0.14/0.38 % DateTime : Sat Sep 26 18:42:48 UTC 2026
% 0.14/0.38 % CPUTime :
% 0.14/0.38 Running java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39
% 0.85/0.96 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.17/1.29 % [INFO] Parsing done (332ms).
% 1.17/1.31 % [INFO] Running in sequential loop mode.
% 2.93/1.70 % [INFO] eprover registered as external prover.
% 3.13/1.70 % [INFO] Scanning for conjecture ...
% 4.04/2.14 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 5.37/2.77 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 5.37/2.77 % [INFO] Problem is propositional (TPTP CNF).
% 5.37/2.78 % [INFO] Type checking passed.
% 5.37/2.79 % [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 ...
% 33.82/13.98 % [INFO] Killing All external provers ...
% 33.98/13.99 % Time passed: 13465ms (effective reasoning time: 12669ms)
% 33.98/13.99 % Axioms used in derivation (0):
% 33.98/13.99 % No. of inferences in proof: 459
% 33.98/13.99 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : 13465 ms resp. 12669 ms w/o parsing
% 34.79/14.28 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 34.79/14.29 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------