%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : SYN895-1 : 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 : n006.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 09:19:35 AM UTC 2026
% Result : Unsatisfiable 95.77s 79.27s
% Output : Refutation 97.94s
% Verified :
% SZS Type : Refutation
% Derivation depth : 103
% Number of leaves : 55
% Syntax : Number of formulae : 667 ( 44 unt; 0 typ; 0 def)
% Number of atoms : 6523 ( 140 equ; 0 cnn)
% Maximal formula atoms : 29 ( 9 avg)
% Number of connectives : 80844 (5401 ~;5576 |; 0 &;69867 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 86 ( 45 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 65 ( 62 usr; 20 con; 0-25 aty)
% Number of variables : 13409 ( 0 ^;13409 !; 0 ?;13409 :)
% 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(ssPv24_5r1r1r1r1r1_decl,type,
ssPv24_5r1r1r1r1r1: $i > $i > $i > $i > $i > $o ).
thf(skc46_decl,type,
skc46: $i ).
thf(skc47_decl,type,
skc47: $i ).
thf(ssNder1_5r1r1r1r1r1_decl,type,
ssNder1_5r1r1r1r1r1: $i > $i > $i > $i > $i > $o ).
thf(ssPv23_6r1r1r1r1r1r1_decl,type,
ssPv23_6r1r1r1r1r1r1: $i > $i > $i > $i > $i > $i > $o ).
thf(skc44_decl,type,
skc44: $i ).
thf(ssNder1_6r1r1r1r1r1r1_decl,type,
ssNder1_6r1r1r1r1r1r1: $i > $i > $i > $i > $i > $i > $o ).
thf(ssPv22_7r1r1r1r1r1r1r1_decl,type,
ssPv22_7r1r1r1r1r1r1r1: $i > $i > $i > $i > $i > $i > $i > $o ).
thf(skc42_decl,type,
skc42: $i ).
thf(skc43_decl,type,
skc43: $i ).
thf(ssNder1_7r1r1r1r1r1r1r1_decl,type,
ssNder1_7r1r1r1r1r1r1r1: $i > $i > $i > $i > $i > $i > $i > $o ).
thf(ssPv21_8r1r1r1r1r1r1r1r1_decl,type,
ssPv21_8r1r1r1r1r1r1r1r1: $i > $i > $i > $i > $i > $i > $i > $i > $o ).
thf(skc40_decl,type,
skc40: $i ).
thf(skc41_decl,type,
skc41: $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(ssPv20_9r1r1r1r1r1r1r1r1r1_decl,type,
ssPv20_9r1r1r1r1r1r1r1r1r1: $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).
thf(ssPv26_3r1r1r1_decl,type,
ssPv26_3r1r1r1: $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(ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1_decl,type,
ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).
thf(skc38_decl,type,
skc38: $i ).
thf(ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1_decl,type,
ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).
thf(ssPv15_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1_decl,type,
ssPv15_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).
thf(skc36_decl,type,
skc36: $i ).
thf(skc37_decl,type,
skc37: $i ).
thf(ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1_decl,type,
ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).
thf(ssPv14_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1_decl,type,
ssPv14_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).
thf(skc34_decl,type,
skc34: $i ).
thf(ssPv28_1r1_decl,type,
ssPv28_1r1: $i > $o ).
thf(ssPv25_4r1r1r1r1_decl,type,
ssPv25_4r1r1r1r1: $i > $i > $i > $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(ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1_decl,type,
ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).
thf(ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1_decl,type,
ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).
thf(ssPv18_11r1r1r1r1r1r1r1r1r1r1r1_decl,type,
ssPv18_11r1r1r1r1r1r1r1r1r1r1r1: $i > $i > $i > $i > $i > $i > $i > $i > $i > $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(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(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(ssPv11_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1_decl,type,
ssPv11_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).
thf(ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1_decl,type,
ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).
thf(ssPv8_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1_decl,type,
ssPv8_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).
thf(skc30_decl,type,
skc30: $i ).
thf(skc31_decl,type,
skc31: $i ).
thf(ssPv10_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1_decl,type,
ssPv10_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).
thf(ssNder1_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1_decl,type,
ssNder1_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).
thf(ssPv7_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1_decl,type,
ssPv7_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).
thf(skc28_decl,type,
skc28: $i ).
thf(skc29_decl,type,
skc29: $i ).
thf(ssNder1_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1_decl,type,
ssNder1_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).
thf(ssPv6_23r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1_decl,type,
ssPv6_23r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).
thf(skc26_decl,type,
skc26: $i ).
thf(ssNder1_23r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1_decl,type,
ssNder1_23r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).
thf(ssPv5_24r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1_decl,type,
ssPv5_24r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).
thf(skc24_decl,type,
skc24: $i ).
thf(ssNder1_24r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1_decl,type,
ssNder1_24r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).
thf(ssPv4_25r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1_decl,type,
ssPv4_25r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).
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 ) ) )
| ~ ( skc47 @ ( D @ ( C @ ( B @ ( A @ ssPv24_5r1r1r1r1r1 ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause7) ).
thf(162,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ssNder1_0
| ~ ( A @ ssNder1_1r1 )
| ~ ( B @ ( A @ ssNder1_2r1r1 ) )
| ~ ( C @ ( B @ ( A @ ssNder1_3r1r1r1 ) ) )
| ~ ( skc47 @ ( D @ ( C @ ( B @ ( A @ ssPv24_5r1r1r1r1r1 ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(272,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ssNder1_0
| ~ ( A @ ssNder1_1r1 )
| ~ ( B @ ( A @ ssNder1_2r1r1 ) )
| ~ ( C @ ( B @ ( A @ ssNder1_3r1r1r1 ) ) )
| ~ ( skc47 @ ( D @ ( C @ ( B @ ( A @ ssPv24_5r1r1r1r1r1 ) ) ) ) ) ),
inference(cnf,[status(esa)],[162]) ).
thf(2,negated_conjecture,
! [A: $i] :
( ( A @ ssNder1_1r1 )
| ~ ssNder1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause2) ).
thf(145,plain,
! [A: $i] :
( ( A @ ssNder1_1r1 )
| ~ ssNder1_0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(276,plain,
! [A: $i] :
( ( A @ ssNder1_1r1 )
| ~ ssNder1_0 ),
inference(cnf,[status(esa)],[145]) ).
thf(1,negated_conjecture,
ssNder1_0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause1) ).
thf(124,plain,
ssNder1_0,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(306,plain,
! [A: $i] :
( ( A @ ssNder1_1r1 )
| ~ $true ),
inference(rewrite,[status(thm)],[276,124]) ).
thf(307,plain,
! [A: $i] : ( A @ ssNder1_1r1 ),
inference(simp,[status(thm)],[306]) ).
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(167,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ ssNder1_2r1r1 ) )
| ~ ssNder1_0
| ~ ( A @ ssNder1_1r1 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(271,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ ssNder1_2r1r1 ) )
| ~ ssNder1_0
| ~ ( A @ ssNder1_1r1 ) ),
inference(cnf,[status(esa)],[167]) ).
thf(308,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ ssNder1_2r1r1 ) )
| ~ $true
| ~ $true ),
inference(rewrite,[status(thm)],[271,307,124]) ).
thf(309,plain,
! [B: $i,A: $i] : ( B @ ( A @ ssNder1_2r1r1 ) ),
inference(simp,[status(thm)],[308]) ).
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(195,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(297,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)],[195]) ).
thf(310,plain,
! [C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( A @ ssNder1_3r1r1r1 ) ) )
| ~ $true
| ~ $true
| ~ $true ),
inference(rewrite,[status(thm)],[297,307,309,124]) ).
thf(311,plain,
! [C: $i,B: $i,A: $i] : ( C @ ( B @ ( A @ ssNder1_3r1r1r1 ) ) ),
inference(simp,[status(thm)],[310]) ).
thf(312,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ ( skc47 @ ( D @ ( C @ ( B @ ( A @ ssPv24_5r1r1r1r1r1 ) ) ) ) ) ),
inference(rewrite,[status(thm)],[272,307,309,311,124]) ).
thf(313,plain,
! [D: $i,C: $i,B: $i,A: $i] :
~ ( skc47 @ ( D @ ( C @ ( B @ ( A @ ssPv24_5r1r1r1r1r1 ) ) ) ) ),
inference(simp,[status(thm)],[312]) ).
thf(50,negated_conjecture,
! [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] :
( ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ 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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause50) ).
thf(174,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] :
( ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ 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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[50]) ).
thf(215,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] :
( ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ 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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[174]) ).
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(194,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(275,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)],[194]) ).
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(172,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(262,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)],[172]) ).
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(148,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(250,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)],[148]) ).
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(103,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(264,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)],[103]) ).
thf(316,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( D @ ( C @ ( B @ ( A @ ssNder1_4r1r1r1r1 ) ) ) )
| ~ $true
| ~ $true
| ~ $true
| ~ $true ),
inference(rewrite,[status(thm)],[264,307,309,311,124]) ).
thf(317,plain,
! [D: $i,C: $i,B: $i,A: $i] : ( D @ ( C @ ( B @ ( A @ ssNder1_4r1r1r1r1 ) ) ) ),
inference(simp,[status(thm)],[316]) ).
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(187,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(261,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)],[187]) ).
thf(332,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)],[261,307,309,311,124,317]) ).
thf(333,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] : ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_5r1r1r1r1r1 ) ) ) ) ),
inference(simp,[status(thm)],[332]) ).
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(178,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(301,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)],[178]) ).
thf(334,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)],[301,307,309,311,124,317,333]) ).
thf(335,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)],[334]) ).
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(115,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(210,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)],[115]) ).
thf(350,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)],[210,307,309,311,124,317,333,335]) ).
thf(351,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)],[350]) ).
thf(362,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)],[250,307,309,311,124,317,333,335,351]) ).
thf(363,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)],[362]) ).
thf(374,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)],[262,307,309,311,363,124,317,333,335,351]) ).
thf(375,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)],[374]) ).
thf(386,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
| ~ $true
| ~ $true
| ~ $true ),
inference(rewrite,[status(thm)],[275,307,309,311,375,363,124,317,333,335,351]) ).
thf(387,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)],[386]) ).
thf(22,negated_conjecture,
! [L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( 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',clause22) ).
thf(151,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)],[22]) ).
thf(291,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)],[151]) ).
thf(21,negated_conjecture,
! [K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( 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',clause21) ).
thf(131,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)],[21]) ).
thf(300,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)],[131]) ).
thf(404,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)],[300,307,387,309,311,375,363,124,317,333,335,351]) ).
thf(405,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)],[404]) ).
thf(418,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)],[291,387,363,333,335,307,309,405,311,375,124,317,351]) ).
thf(419,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)],[418]) ).
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] :
( ( 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',clause25) ).
thf(113,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)],[25]) ).
thf(263,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)],[113]) ).
thf(466,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)],[263,387,419,363,333,335,307,309,405,311,375,124,317,351]) ).
thf(467,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)],[466]) ).
thf(28,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',clause28) ).
thf(133,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)],[28]) ).
thf(230,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)],[133]) ).
thf(535,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)],[230,387,419,363,333,335,307,467,309,405,311,375,124,317,351]) ).
thf(536,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)],[535]) ).
thf(579,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] :
( ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ $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 @ 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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(rewrite,[status(thm)],[215,387,419,363,333,335,307,467,309,405,311,375,536,124,317,351]) ).
thf(580,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] :
( ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( 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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[579]) ).
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(149,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(253,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)],[149]) ).
thf(790,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
| ~ $true ),
inference(rewrite,[status(thm)],[253,387,419,363,333,335,307,467,309,405,311,375,536,124,317,351]) ).
thf(791,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)],[790]) ).
thf(838,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] :
( ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ $true
| ~ ( 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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(rewrite,[status(thm)],[580,791]) ).
thf(839,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] :
( ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( 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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[838]) ).
thf(35,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',clause35) ).
thf(169,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)],[35]) ).
thf(240,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)],[169]) ).
thf(1167,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
| ~ $true
| ~ $true ),
inference(rewrite,[status(thm)],[240,387,419,363,333,335,307,467,309,405,311,375,791,536,124,317,351]) ).
thf(1168,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)],[1167]) ).
thf(1257,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] :
( ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ $true
| ~ ( 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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(rewrite,[status(thm)],[839,1168]) ).
thf(1258,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] :
( ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( 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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[1257]) ).
thf(57,negated_conjecture,
! [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] :
( ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ 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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause57) ).
thf(119,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] :
( ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ 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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[57]) ).
thf(208,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] :
( ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ 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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[119]) ).
thf(402,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] :
( ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ $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 ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( 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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(rewrite,[status(thm)],[208,307,387,309,311,375,363,124,317,333,335,351]) ).
thf(403,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] :
( ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( 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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[402]) ).
thf(412,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] :
( ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ $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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( 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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(rewrite,[status(thm)],[403,405]) ).
thf(413,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] :
( ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( 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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[412]) ).
thf(460,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] :
( ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ $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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(rewrite,[status(thm)],[413,419]) ).
thf(461,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] :
( ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( 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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[460]) ).
thf(482,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] :
( ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ $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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(rewrite,[status(thm)],[461,467]) ).
thf(483,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] :
( ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( 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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[482]) ).
thf(551,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] :
( ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ $true
| ~ ( 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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(rewrite,[status(thm)],[483,536]) ).
thf(552,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] :
( ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( 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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[551]) ).
thf(597,plain,
! [ZQ: $i,ZP: $i,ZO: $i,ZN: $i,ZM: $i,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] :
( ( ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
!= ( ZP @ ( ZO @ ( ZN @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ssNder1_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( ZQ @ ( ZP @ ( ZO @ ( ZN @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ssNder1_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZN @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZO @ ( ZN @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ $true
| ~ ( 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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(paramod_ordered,[status(thm)],[580,552]) ).
thf(598,plain,
! [ZQ: $i,ZP: $i,ZO: $i,ZN: $i,ZM: $i,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] :
( ( ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
!= ( ZP @ ( ZO @ ( ZN @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ssNder1_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( ZQ @ ( ZP @ ( ZO @ ( ZN @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ssNder1_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZN @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZO @ ( ZN @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( 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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[597]) ).
thf(599,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] :
( ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( 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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( 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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[598:[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( S )),bind(T,$thf( T )),bind(U,$thf( U )),bind(V,$thf( A )),bind(W,$thf( B )),bind(X,$thf( C )),bind(Y,$thf( D )),bind(Z,$thf( E )),bind(ZA,$thf( F )),bind(ZB,$thf( G )),bind(ZC,$thf( H )),bind(ZD,$thf( I )),bind(ZE,$thf( J )),bind(ZF,$thf( K )),bind(ZG,$thf( L )),bind(ZH,$thf( M )),bind(ZI,$thf( N )),bind(ZJ,$thf( O )),bind(ZK,$thf( P )),bind(ZL,$thf( Q )),bind(ZM,$thf( R )),bind(ZN,$thf( S )),bind(ZO,$thf( T )),bind(ZP,$thf( U ))]]) ).
thf(600,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] :
( ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( 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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[599]) ).
thf(844,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] :
( ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ $true
| ~ ( 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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(rewrite,[status(thm)],[600,791]) ).
thf(845,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] :
( ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( 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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[844]) ).
thf(1235,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] :
( ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ $true
| ~ ( 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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(rewrite,[status(thm)],[845,1168]) ).
thf(1236,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] :
( ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( 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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[1235]) ).
thf(64,negated_conjecture,
! [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 @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv5_24r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ 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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause64) ).
thf(147,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] :
( ( skc24 @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv5_24r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ 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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[64]) ).
thf(228,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] :
( ( skc24 @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv5_24r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ 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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[147]) ).
thf(1293,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] :
( ( skc24 @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv5_24r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $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 @ 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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(rewrite,[status(thm)],[228,387,419,363,333,335,1168,307,467,309,405,311,375,791,536,124,317,351]) ).
thf(1294,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] :
( ( skc24 @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv5_24r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( 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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[1293]) ).
thf(1414,plain,
! [ZS: $i,ZR: $i,ZQ: $i,ZP: $i,ZO: $i,ZN: $i,ZM: $i,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] :
( ( ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
!= ( ZR @ ( ZQ @ ( ZP @ ( ZO @ ( ZN @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ssNder1_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( skc24 @ ( ZS @ ( ZR @ ( ZQ @ ( ZP @ ( ZO @ ( ZN @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ssPv5_24r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZN @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZO @ ( ZN @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZP @ ( ZO @ ( ZN @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZQ @ ( ZP @ ( ZO @ ( ZN @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ssNder1_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ $true
| ~ ( 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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(paramod_ordered,[status(thm)],[1236,1294]) ).
thf(1415,plain,
! [ZS: $i,ZR: $i,ZQ: $i,ZP: $i,ZO: $i,ZN: $i,ZM: $i,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] :
( ( ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
!= ( ZR @ ( ZQ @ ( ZP @ ( ZO @ ( ZN @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ssNder1_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( skc24 @ ( ZS @ ( ZR @ ( ZQ @ ( ZP @ ( ZO @ ( ZN @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ssPv5_24r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZN @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZO @ ( ZN @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZP @ ( ZO @ ( ZN @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZQ @ ( ZP @ ( ZO @ ( ZN @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ssNder1_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( 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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[1414]) ).
thf(1416,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] :
( ( skc24 @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv5_24r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( 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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( 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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[1415:[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( S )),bind(T,$thf( T )),bind(U,$thf( U )),bind(V,$thf( V )),bind(W,$thf( A )),bind(X,$thf( B )),bind(Y,$thf( C )),bind(Z,$thf( D )),bind(ZA,$thf( E )),bind(ZB,$thf( F )),bind(ZC,$thf( G )),bind(ZD,$thf( H )),bind(ZE,$thf( I )),bind(ZF,$thf( J )),bind(ZG,$thf( K )),bind(ZH,$thf( L )),bind(ZI,$thf( M )),bind(ZJ,$thf( N )),bind(ZK,$thf( O )),bind(ZL,$thf( P )),bind(ZM,$thf( Q )),bind(ZN,$thf( R )),bind(ZO,$thf( S )),bind(ZP,$thf( T )),bind(ZQ,$thf( U )),bind(ZR,$thf( V ))]]) ).
thf(1418,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] :
( ( skc24 @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv5_24r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( 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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[1416]) ).
thf(1512,plain,
! [ZR: $i,ZQ: $i,ZP: $i,ZO: $i,ZN: $i,ZM: $i,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] :
( ( ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
!= ( ZP @ ( ZO @ ( ZN @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ssNder1_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( skc24 @ ( ZR @ ( ZQ @ ( ZP @ ( ZO @ ( ZN @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ssPv5_24r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ $true
| ~ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZN @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZO @ ( ZN @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( 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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(paramod_ordered,[status(thm)],[1258,1418]) ).
thf(1513,plain,
! [ZR: $i,ZQ: $i,ZP: $i,ZO: $i,ZN: $i,ZM: $i,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] :
( ( ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
!= ( ZP @ ( ZO @ ( ZN @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ssNder1_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( skc24 @ ( ZR @ ( ZQ @ ( ZP @ ( ZO @ ( ZN @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ssPv5_24r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZN @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZO @ ( ZN @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( 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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[1512]) ).
thf(1514,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: $i] :
( ( skc24 @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv5_24r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[1513:[bind(A,$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( S )),bind(T,$thf( T )),bind(U,$thf( U )),bind(V,$thf( A )),bind(W,$thf( B )),bind(X,$thf( C )),bind(Y,$thf( D )),bind(Z,$thf( E )),bind(ZA,$thf( F )),bind(ZB,$thf( G )),bind(ZC,$thf( H )),bind(ZD,$thf( I )),bind(ZE,$thf( J )),bind(ZF,$thf( K )),bind(ZG,$thf( L )),bind(ZH,$thf( M )),bind(ZI,$thf( N )),bind(ZJ,$thf( O )),bind(ZK,$thf( P )),bind(ZL,$thf( Q )),bind(ZM,$thf( R )),bind(ZN,$thf( S )),bind(ZO,$thf( T )),bind(ZP,$thf( U ))]]) ).
thf(1516,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] :
( ( skc24 @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv5_24r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( 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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[1514]) ).
thf(75,negated_conjecture,
! [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] :
( ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv20_9r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) )
| ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) )
| ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv8_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ 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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv5_24r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_23r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause75) ).
thf(188,plain,
! [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] :
( ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv20_9r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) )
| ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) )
| ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv8_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ 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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv5_24r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_23r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[75]) ).
thf(239,plain,
! [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] :
( ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv20_9r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) )
| ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) )
| ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv8_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ 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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv5_24r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_23r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[188]) ).
thf(1637,plain,
! [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] :
( ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv20_9r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) )
| ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) )
| ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv8_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $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 @ 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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv5_24r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_23r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(rewrite,[status(thm)],[239,387,419,363,333,335,1168,307,467,309,405,311,375,791,536,124,317,351]) ).
thf(1638,plain,
! [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] :
( ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv20_9r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) )
| ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) )
| ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv8_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( 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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv5_24r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_23r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[1637]) ).
thf(1642,plain,
! [ZU: $i,ZT: $i,ZS: $i,ZR: $i,ZQ: $i,ZP: $i,ZO: $i,ZN: $i,ZM: $i,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] :
( ( ( skc24 @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv5_24r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
!= ( ZU @ ( ZT @ ( ZS @ ( ZR @ ( ZQ @ ( ZP @ ( ZO @ ( ZN @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ssPv5_24r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ssPv20_9r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) )
| ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) )
| ( ZR @ ( ZQ @ ( ZP @ ( ZO @ ( ZN @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ssPv8_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZN @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZO @ ( ZN @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZP @ ( ZO @ ( ZN @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZQ @ ( ZP @ ( ZO @ ( ZN @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZR @ ( ZQ @ ( ZP @ ( ZO @ ( ZN @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ssNder1_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZS @ ( ZR @ ( ZQ @ ( ZP @ ( ZO @ ( ZN @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ssNder1_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ $true
| ~ ( ZT @ ( ZS @ ( ZR @ ( ZQ @ ( ZP @ ( ZO @ ( ZN @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ssNder1_23r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( 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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(paramod_ordered,[status(thm)],[1516,1638]) ).
thf(1643,plain,
! [ZU: $i,ZT: $i,ZS: $i,ZR: $i,ZQ: $i,ZP: $i,ZO: $i,ZN: $i,ZM: $i,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] :
( ( ( skc24 @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv5_24r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
!= ( ZU @ ( ZT @ ( ZS @ ( ZR @ ( ZQ @ ( ZP @ ( ZO @ ( ZN @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ssPv5_24r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ssPv20_9r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) )
| ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) )
| ( ZR @ ( ZQ @ ( ZP @ ( ZO @ ( ZN @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ssPv8_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZN @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZO @ ( ZN @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZP @ ( ZO @ ( ZN @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZQ @ ( ZP @ ( ZO @ ( ZN @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZR @ ( ZQ @ ( ZP @ ( ZO @ ( ZN @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ssNder1_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZS @ ( ZR @ ( ZQ @ ( ZP @ ( ZO @ ( ZN @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ssNder1_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZT @ ( ZS @ ( ZR @ ( ZQ @ ( ZP @ ( ZO @ ( ZN @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ssNder1_23r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( 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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[1642]) ).
thf(1644,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] :
( ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv20_9r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) )
| ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) )
| ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv8_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( 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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_23r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( 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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[1643:[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( S )),bind(T,$thf( T )),bind(U,$thf( U )),bind(V,$thf( V )),bind(W,$thf( W )),bind(X,$thf( A )),bind(Y,$thf( B )),bind(Z,$thf( C )),bind(ZA,$thf( D )),bind(ZB,$thf( E )),bind(ZC,$thf( F )),bind(ZD,$thf( G )),bind(ZE,$thf( H )),bind(ZF,$thf( I )),bind(ZG,$thf( J )),bind(ZH,$thf( K )),bind(ZI,$thf( L )),bind(ZJ,$thf( M )),bind(ZK,$thf( N )),bind(ZL,$thf( O )),bind(ZM,$thf( P )),bind(ZN,$thf( Q )),bind(ZO,$thf( R )),bind(ZP,$thf( S )),bind(ZQ,$thf( T )),bind(ZR,$thf( U )),bind(ZS,$thf( V )),bind(ZT,$thf( W )),bind(ZU,$thf( skc24 ))]]) ).
thf(1649,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] :
( ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv20_9r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) )
| ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) )
| ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv8_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_23r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( 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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[1644]) ).
thf(41,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',clause41) ).
thf(143,plain,
! [S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( 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)],[41]) ).
thf(283,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)],[143]) ).
thf(38,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',clause38) ).
thf(134,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)],[38]) ).
thf(246,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)],[134]) ).
thf(2443,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
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true ),
inference(rewrite,[status(thm)],[246,387,419,363,333,335,1168,307,467,309,405,311,375,791,536,124,317,351]) ).
thf(2444,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)],[2443]) ).
thf(3465,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
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(rewrite,[status(thm)],[283,387,419,363,2444,333,335,1168,307,467,309,405,311,375,791,536,124,317,351]) ).
thf(3466,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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[3465]) ).
thf(45,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] :
( ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_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 ) ) ) ) ) ) )
| ~ ( 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',clause45) ).
thf(146,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] :
( ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_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 ) ) ) ) ) ) )
| ~ ( 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)],[45]) ).
thf(293,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] :
( ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_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 ) ) ) ) ) ) )
| ~ ( 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)],[146]) ).
thf(3865,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] :
( ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ ( 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(rewrite,[status(thm)],[293,387,419,363,2444,333,335,1168,307,467,309,405,311,375,791,536,124,317,351]) ).
thf(3866,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] :
( ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( 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(simp,[status(thm)],[3865]) ).
thf(3876,plain,
! [ZM: $i,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 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
!= ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ $true
| ~ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(paramod_ordered,[status(thm)],[3466,3866]) ).
thf(3877,plain,
! [ZM: $i,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 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
!= ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[3876]) ).
thf(3878,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: $i] :
( ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[3877:[bind(A,$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( 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,$thf( G )),bind(ZA,$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(3979,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] :
( ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[3878]) ).
thf(63,negated_conjecture,
! [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] :
( ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_23r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ 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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause63) ).
thf(171,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] :
( ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_23r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ 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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[63]) ).
thf(289,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] :
( ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_23r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ 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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[171]) ).
thf(1815,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] :
( ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_23r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $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 @ 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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(rewrite,[status(thm)],[289,387,419,363,333,335,1168,307,467,309,405,311,375,791,536,124,317,351]) ).
thf(1816,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] :
( ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_23r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( 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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[1815]) ).
thf(1859,plain,
! [ZS: $i,ZR: $i,ZQ: $i,ZP: $i,ZO: $i,ZN: $i,ZM: $i,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] :
( ( ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
!= ( ZR @ ( ZQ @ ( ZP @ ( ZO @ ( ZN @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ssNder1_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( ZS @ ( ZR @ ( ZQ @ ( ZP @ ( ZO @ ( ZN @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ssNder1_23r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZN @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZO @ ( ZN @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZP @ ( ZO @ ( ZN @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZQ @ ( ZP @ ( ZO @ ( ZN @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ssNder1_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ $true
| ~ ( 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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(paramod_ordered,[status(thm)],[1236,1816]) ).
thf(1860,plain,
! [ZS: $i,ZR: $i,ZQ: $i,ZP: $i,ZO: $i,ZN: $i,ZM: $i,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] :
( ( ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
!= ( ZR @ ( ZQ @ ( ZP @ ( ZO @ ( ZN @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ssNder1_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( ZS @ ( ZR @ ( ZQ @ ( ZP @ ( ZO @ ( ZN @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ssNder1_23r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZN @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZO @ ( ZN @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZP @ ( ZO @ ( ZN @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZQ @ ( ZP @ ( ZO @ ( ZN @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ssNder1_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( 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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[1859]) ).
thf(1861,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] :
( ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_23r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( 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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( 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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[1860:[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( S )),bind(T,$thf( T )),bind(U,$thf( U )),bind(V,$thf( V )),bind(W,$thf( A )),bind(X,$thf( B )),bind(Y,$thf( C )),bind(Z,$thf( D )),bind(ZA,$thf( E )),bind(ZB,$thf( F )),bind(ZC,$thf( G )),bind(ZD,$thf( H )),bind(ZE,$thf( I )),bind(ZF,$thf( J )),bind(ZG,$thf( K )),bind(ZH,$thf( L )),bind(ZI,$thf( M )),bind(ZJ,$thf( N )),bind(ZK,$thf( O )),bind(ZL,$thf( P )),bind(ZM,$thf( Q )),bind(ZN,$thf( R )),bind(ZO,$thf( S )),bind(ZP,$thf( T )),bind(ZQ,$thf( U )),bind(ZR,$thf( V ))]]) ).
thf(1865,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] :
( ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_23r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( 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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[1861]) ).
thf(1901,plain,
! [ZR: $i,ZQ: $i,ZP: $i,ZO: $i,ZN: $i,ZM: $i,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] :
( ( ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
!= ( ZP @ ( ZO @ ( ZN @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ssNder1_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( ZR @ ( ZQ @ ( ZP @ ( ZO @ ( ZN @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ssNder1_23r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ $true
| ~ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZN @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZO @ ( ZN @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( 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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(paramod_ordered,[status(thm)],[1258,1865]) ).
thf(1902,plain,
! [ZR: $i,ZQ: $i,ZP: $i,ZO: $i,ZN: $i,ZM: $i,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] :
( ( ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
!= ( ZP @ ( ZO @ ( ZN @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ssNder1_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( ZR @ ( ZQ @ ( ZP @ ( ZO @ ( ZN @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ssNder1_23r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZN @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZO @ ( ZN @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( 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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[1901]) ).
thf(1903,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: $i] :
( ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_23r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[1902:[bind(A,$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( S )),bind(T,$thf( T )),bind(U,$thf( U )),bind(V,$thf( A )),bind(W,$thf( B )),bind(X,$thf( C )),bind(Y,$thf( D )),bind(Z,$thf( E )),bind(ZA,$thf( F )),bind(ZB,$thf( G )),bind(ZC,$thf( H )),bind(ZD,$thf( I )),bind(ZE,$thf( J )),bind(ZF,$thf( K )),bind(ZG,$thf( L )),bind(ZH,$thf( M )),bind(ZI,$thf( N )),bind(ZJ,$thf( O )),bind(ZK,$thf( P )),bind(ZL,$thf( Q )),bind(ZM,$thf( R )),bind(ZN,$thf( S )),bind(ZO,$thf( T )),bind(ZP,$thf( U ))]]) ).
thf(1939,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] :
( ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_23r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( 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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[1903]) ).
thf(2453,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] :
( ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_23r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ $true
| ~ ( 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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(rewrite,[status(thm)],[1939,2444]) ).
thf(2454,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] :
( ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_23r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( 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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[2453]) ).
thf(3554,plain,
! [ZP: $i,ZO: $i,ZN: $i,ZM: $i,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 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
!= ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( ZP @ ( ZO @ ( ZN @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ssNder1_23r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ $true
| ~ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(paramod_ordered,[status(thm)],[3466,2454]) ).
thf(3555,plain,
! [ZP: $i,ZO: $i,ZN: $i,ZM: $i,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 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
!= ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( ZP @ ( ZO @ ( ZN @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ssNder1_23r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[3554]) ).
thf(3556,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: $i] :
( ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_23r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[3555:[bind(A,$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( 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,$thf( G )),bind(ZA,$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(3598,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] :
( ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_23r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[3556]) ).
thf(4076,plain,
! [ZQ: $i,ZP: $i,ZO: $i,ZN: $i,ZM: $i,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] :
( ( ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
!= ( ZN @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( ZQ @ ( ZP @ ( ZO @ ( ZN @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ssNder1_23r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ $true
| ~ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(paramod_ordered,[status(thm)],[3979,3598]) ).
thf(4077,plain,
! [ZQ: $i,ZP: $i,ZO: $i,ZN: $i,ZM: $i,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] :
( ( ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
!= ( ZN @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( ZQ @ ( ZP @ ( ZO @ ( ZN @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ssNder1_23r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[4076]) ).
thf(4078,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: $i] :
( ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_23r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[4077:[bind(A,$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( S )),bind(T,$thf( T )),bind(U,$thf( A )),bind(V,$thf( B )),bind(W,$thf( C )),bind(X,$thf( D )),bind(Y,$thf( E )),bind(Z,$thf( F )),bind(ZA,$thf( G )),bind(ZB,$thf( H )),bind(ZC,$thf( I )),bind(ZD,$thf( J )),bind(ZE,$thf( K )),bind(ZF,$thf( L )),bind(ZG,$thf( M )),bind(ZH,$thf( N )),bind(ZI,$thf( O )),bind(ZJ,$thf( P )),bind(ZK,$thf( Q )),bind(ZL,$thf( R )),bind(ZM,$thf( S )),bind(ZN,$thf( T ))]]) ).
thf(4109,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] :
( ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_23r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[4078]) ).
thf(39,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',clause39) ).
thf(163,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)],[39]) ).
thf(302,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)],[163]) ).
thf(4338,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
| ~ $true
| ~ $true
| ~ $true
| ~ $true ),
inference(rewrite,[status(thm)],[302,387,419,363,2444,333,335,1168,307,467,309,405,311,375,791,536,124,317,351]) ).
thf(4339,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)],[4338]) ).
thf(4400,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] :
( ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_23r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(rewrite,[status(thm)],[4109,4339]) ).
thf(4401,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] : ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_23r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[4400]) ).
thf(2543,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] :
( ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ $true
| ~ ( 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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(rewrite,[status(thm)],[1258,2444]) ).
thf(2544,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] :
( ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( 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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[2543]) ).
thf(3467,plain,
! [ZN: $i,ZM: $i,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 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
!= ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( ZN @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ssNder1_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ $true
| ~ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(paramod_ordered,[status(thm)],[3466,2544]) ).
thf(3468,plain,
! [ZN: $i,ZM: $i,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 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
!= ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( ZN @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ssNder1_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[3467]) ).
thf(3469,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: $i] :
( ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[3468:[bind(A,$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( 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,$thf( G )),bind(ZA,$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(3583,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] :
( ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[3469]) ).
thf(4058,plain,
! [ZO: $i,ZN: $i,ZM: $i,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] :
( ( ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
!= ( ZN @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( ZO @ ( ZN @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ssNder1_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ $true
| ~ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(paramod_ordered,[status(thm)],[3979,3583]) ).
thf(4059,plain,
! [ZO: $i,ZN: $i,ZM: $i,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] :
( ( ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
!= ( ZN @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( ZO @ ( ZN @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ssNder1_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[4058]) ).
thf(4060,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: $i] :
( ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[4059:[bind(A,$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( S )),bind(T,$thf( T )),bind(U,$thf( A )),bind(V,$thf( B )),bind(W,$thf( C )),bind(X,$thf( D )),bind(Y,$thf( E )),bind(Z,$thf( F )),bind(ZA,$thf( G )),bind(ZB,$thf( H )),bind(ZC,$thf( I )),bind(ZD,$thf( J )),bind(ZE,$thf( K )),bind(ZF,$thf( L )),bind(ZG,$thf( M )),bind(ZH,$thf( N )),bind(ZI,$thf( O )),bind(ZJ,$thf( P )),bind(ZK,$thf( Q )),bind(ZL,$thf( R )),bind(ZM,$thf( S )),bind(ZN,$thf( T ))]]) ).
thf(4097,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] :
( ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[4060]) ).
thf(4354,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] :
( ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(rewrite,[status(thm)],[4097,4339]) ).
thf(4355,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] : ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[4354]) ).
thf(2623,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] :
( ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ $true
| ~ ( 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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(rewrite,[status(thm)],[1236,2444]) ).
thf(2624,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] :
( ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( 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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[2623]) ).
thf(3539,plain,
! [ZO: $i,ZN: $i,ZM: $i,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 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
!= ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( ZO @ ( ZN @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ssNder1_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ $true
| ~ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(paramod_ordered,[status(thm)],[3466,2624]) ).
thf(3540,plain,
! [ZO: $i,ZN: $i,ZM: $i,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 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
!= ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( ZO @ ( ZN @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ssNder1_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[3539]) ).
thf(3541,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: $i] :
( ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[3540:[bind(A,$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( 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,$thf( G )),bind(ZA,$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(3588,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] :
( ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[3541]) ).
thf(4019,plain,
! [ZP: $i,ZO: $i,ZN: $i,ZM: $i,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] :
( ( ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
!= ( ZN @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( ZP @ ( ZO @ ( ZN @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ssNder1_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ $true
| ~ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(paramod_ordered,[status(thm)],[3979,3588]) ).
thf(4020,plain,
! [ZP: $i,ZO: $i,ZN: $i,ZM: $i,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] :
( ( ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
!= ( ZN @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( ZP @ ( ZO @ ( ZN @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ssNder1_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[4019]) ).
thf(4021,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: $i] :
( ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[4020:[bind(A,$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( S )),bind(T,$thf( T )),bind(U,$thf( A )),bind(V,$thf( B )),bind(W,$thf( C )),bind(X,$thf( D )),bind(Y,$thf( E )),bind(Z,$thf( F )),bind(ZA,$thf( G )),bind(ZB,$thf( H )),bind(ZC,$thf( I )),bind(ZD,$thf( J )),bind(ZE,$thf( K )),bind(ZF,$thf( L )),bind(ZG,$thf( M )),bind(ZH,$thf( N )),bind(ZI,$thf( O )),bind(ZJ,$thf( P )),bind(ZK,$thf( Q )),bind(ZL,$thf( R )),bind(ZM,$thf( S )),bind(ZN,$thf( T ))]]) ).
thf(4114,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] :
( ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[4021]) ).
thf(4500,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] :
( ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(rewrite,[status(thm)],[4114,4339]) ).
thf(4501,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] : ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[4500]) ).
thf(4360,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 ),
inference(rewrite,[status(thm)],[3466,4339]) ).
thf(4361,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)],[4360]) ).
thf(4346,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] :
( ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(rewrite,[status(thm)],[3979,4339]) ).
thf(4347,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] : ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[4346]) ).
thf(9374,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] :
( ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv20_9r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) )
| ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) )
| ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv8_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true ),
inference(rewrite,[status(thm)],[1649,4401,4339,4355,4501,4361,4347,2444]) ).
thf(9375,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] :
( ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv20_9r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) )
| ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) )
| ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv8_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[9374]) ).
thf(47,negated_conjecture,
! [T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ssNder1_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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( skc31 @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv8_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause47) ).
thf(198,plain,
! [T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ssNder1_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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( skc31 @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv8_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[47]) ).
thf(267,plain,
! [T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ssNder1_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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( skc31 @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv8_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[198]) ).
thf(601,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] :
( ~ $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 @ 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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( skc31 @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv8_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(rewrite,[status(thm)],[267,387,419,363,333,335,307,467,309,405,311,375,536,124,317,351]) ).
thf(602,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] :
( ~ ( 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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( skc31 @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv8_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[601]) ).
thf(810,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] :
( ~ $true
| ~ ( 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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( skc31 @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv8_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(rewrite,[status(thm)],[602,791]) ).
thf(811,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 @ 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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( skc31 @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv8_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[810]) ).
thf(1213,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] :
( ~ $true
| ~ ( 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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( skc31 @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv8_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(rewrite,[status(thm)],[811,1168]) ).
thf(1214,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] :
( ~ ( 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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( skc31 @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv8_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[1213]) ).
thf(2517,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] :
( ~ $true
| ~ ( 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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( skc31 @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv8_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(rewrite,[status(thm)],[1214,2444]) ).
thf(2518,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] :
( ~ ( 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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( skc31 @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv8_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[2517]) ).
thf(3551,plain,
! [ZM: $i,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 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
!= ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ $true
| ~ ( skc31 @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ssPv8_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(paramod_ordered,[status(thm)],[3466,2518]) ).
thf(3552,plain,
! [ZM: $i,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 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
!= ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( skc31 @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ssPv8_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[3551]) ).
thf(3553,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: $i] :
( ~ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( skc31 @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv8_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[3552:[bind(A,$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( 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,$thf( G )),bind(ZA,$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(3596,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] :
( ~ ( skc31 @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv8_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[3553]) ).
thf(4404,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] :
( ~ ( skc31 @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv8_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(rewrite,[status(thm)],[3596,4339]) ).
thf(4405,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] :
~ ( skc31 @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv8_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[4404]) ).
thf(9379,plain,
! [ZO: $i,ZN: $i,ZM: $i,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] :
( ( ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv8_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
!= ( skc31 @ ( ZO @ ( ZN @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ssPv8_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ $true
| ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv20_9r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) )
| ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(paramod_ordered,[status(thm)],[9375,4405]) ).
thf(9380,plain,
! [ZO: $i,ZN: $i,ZM: $i,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] :
( ( ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv8_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
!= ( skc31 @ ( ZO @ ( ZN @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ssPv8_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv20_9r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) )
| ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[9379]) ).
thf(9381,plain,
! [L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv20_9r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) )
| ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[9380:[bind(A,$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( S )),bind(T,$thf( T )),bind(U,$thf( skc31 )),bind(V,$thf( A )),bind(W,$thf( B )),bind(X,$thf( C )),bind(Y,$thf( D )),bind(Z,$thf( E )),bind(ZA,$thf( F )),bind(ZB,$thf( G )),bind(ZC,$thf( H )),bind(ZD,$thf( I )),bind(ZE,$thf( J )),bind(ZF,$thf( K )),bind(ZG,$thf( L )),bind(ZH,$thf( M )),bind(ZI,$thf( N )),bind(ZJ,$thf( O )),bind(ZK,$thf( P )),bind(ZL,$thf( Q )),bind(ZM,$thf( R )),bind(ZN,$thf( S )),bind(ZO,$thf( T ))]]) ).
thf(36,negated_conjecture,
! [N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv21_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
| ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv18_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv15_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 ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause36) ).
thf(191,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] :
( ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv21_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
| ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv18_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv15_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 ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[36]) ).
thf(255,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] :
( ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv21_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
| ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv18_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv15_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 ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[191]) ).
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] :
( ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv21_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
| ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv18_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv15_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ $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 ) ) ) ) ) ) ) ) )
| ~ ( 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 ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(rewrite,[status(thm)],[255,307,309,311,124,317,333,335]) ).
thf(341,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] :
( ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv21_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
| ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv18_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv15_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( 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 ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[340]) ).
thf(354,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] :
( ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv21_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
| ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv18_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv15_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ $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 ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(rewrite,[status(thm)],[341,351]) ).
thf(355,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] :
( ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv21_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
| ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv18_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv15_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( 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 ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[354]) ).
thf(368,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] :
( ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv21_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
| ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv18_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv15_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ $true
| ~ ( 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 ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(rewrite,[status(thm)],[355,363]) ).
thf(369,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] :
( ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv21_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
| ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv18_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv15_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( 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 ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[368]) ).
thf(27,negated_conjecture,
! [M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ssNder1_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 ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( skc37 @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv15_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause27) ).
thf(154,plain,
! [M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ssNder1_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 ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( skc37 @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv15_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[27]) ).
thf(281,plain,
! [M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ssNder1_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 ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( skc37 @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv15_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[154]) ).
thf(366,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] :
( ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ ( 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 ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( skc37 @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv15_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(rewrite,[status(thm)],[281,307,309,311,363,124,317,333,335,351]) ).
thf(367,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] :
( ~ ( 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 ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( skc37 @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv15_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[366]) ).
thf(370,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] :
( ( ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv15_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) )
!= ( skc37 @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ssPv15_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ssNder1_9r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) )
| ~ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ssNder1_10r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) )
| ~ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ~ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) )
| ~ $true
| ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv21_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
| ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv18_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ~ ( 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 ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(paramod_ordered,[status(thm)],[369,367]) ).
thf(371,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] :
( ( ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv15_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) )
!= ( skc37 @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ssPv15_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ssNder1_9r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) )
| ~ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ssNder1_10r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) )
| ~ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ~ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) )
| ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv21_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
| ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv18_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ~ ( 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 ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[370]) ).
thf(372,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: $i] :
( ~ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_9r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) )
| ~ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_10r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) )
| ~ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ~ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) )
| ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv21_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
| ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv18_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ~ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_9r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) )
| ~ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_10r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) )
| ~ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ~ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[371:[bind(A,$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,$thf( skc37 )),bind(O,$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 ))]]) ).
thf(373,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] :
( ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv21_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
| ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv18_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ~ ( 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 ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[372]) ).
thf(384,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] :
( ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv21_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
| ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv18_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ~ $true
| ~ ( 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 ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(rewrite,[status(thm)],[373,375]) ).
thf(385,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] :
( ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv21_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
| ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv18_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ~ ( 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 ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[384]) ).
thf(388,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] :
( ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv21_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
| ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv18_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ~ $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 ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(rewrite,[status(thm)],[385,387]) ).
thf(389,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] :
( ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv21_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
| ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv18_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ~ ( 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 ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[388]) ).
thf(410,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] :
( ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv21_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
| ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv18_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ~ $true
| ~ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(rewrite,[status(thm)],[389,405]) ).
thf(411,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] :
( ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv21_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
| ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv18_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ~ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[410]) ).
thf(426,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] :
( ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv21_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
| ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv18_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ~ $true
| ~ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(rewrite,[status(thm)],[411,419]) ).
thf(427,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] :
( ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv21_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
| ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv18_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ~ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[426]) ).
thf(478,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 @ ssPv21_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
| ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv18_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ~ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(rewrite,[status(thm)],[427,467]) ).
thf(479,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 @ ssPv21_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
| ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv18_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ~ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[478]) ).
thf(9512,plain,
! [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] :
( ( ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) )
!= ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) )
| ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ssPv21_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
| ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ssPv18_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ~ $true
| ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv20_9r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ),
inference(paramod_ordered,[status(thm)],[9381,479]) ).
thf(9513,plain,
! [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] :
( ( ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) )
!= ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) )
| ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ssPv21_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
| ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ssPv18_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv20_9r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[9512]) ).
thf(9514,plain,
! [K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv21_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
| ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv18_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv20_9r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[9513:[bind(A,$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( A )),bind(N,$thf( B )),bind(O,$thf( C )),bind(P,$thf( D )),bind(Q,$thf( E )),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 ))]]) ).
thf(26,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] :
( ( skc36 @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv15_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',clause26) ).
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] :
( ( skc36 @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv15_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)],[26]) ).
thf(217,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] :
( ( skc36 @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv15_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)],[184]) ).
thf(492,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] :
( ( skc36 @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv15_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true ),
inference(rewrite,[status(thm)],[217,387,419,363,333,335,307,309,405,311,375,124,317,351]) ).
thf(493,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] : ( skc36 @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv15_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[492]) ).
thf(31,negated_conjecture,
! [N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( D @ ( C @ ( B @ ( A @ ssPv25_4r1r1r1r1 ) ) ) )
| ( E @ ( D @ ( C @ ( B @ ( A @ ssPv24_5r1r1r1r1r1 ) ) ) ) )
| ~ ssNder1_0
| ~ ( A @ ssNder1_1r1 )
| ~ ( A @ ssPv28_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 ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv15_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause31) ).
thf(177,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] :
( ( D @ ( C @ ( B @ ( A @ ssPv25_4r1r1r1r1 ) ) ) )
| ( E @ ( D @ ( C @ ( B @ ( A @ ssPv24_5r1r1r1r1r1 ) ) ) ) )
| ~ ssNder1_0
| ~ ( A @ ssNder1_1r1 )
| ~ ( A @ ssPv28_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 ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv15_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[31]) ).
thf(279,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] :
( ( D @ ( C @ ( B @ ( A @ ssPv25_4r1r1r1r1 ) ) ) )
| ( E @ ( D @ ( C @ ( B @ ( A @ ssPv24_5r1r1r1r1r1 ) ) ) ) )
| ~ ssNder1_0
| ~ ( A @ ssNder1_1r1 )
| ~ ( A @ ssPv28_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 ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv15_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[177]) ).
thf(651,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] :
( ( D @ ( C @ ( B @ ( A @ ssPv25_4r1r1r1r1 ) ) ) )
| ( E @ ( D @ ( C @ ( B @ ( A @ ssPv24_5r1r1r1r1r1 ) ) ) ) )
| ~ $true
| ~ $true
| ~ ( A @ ssPv28_1r1 )
| ~ $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 @ ssPv15_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(rewrite,[status(thm)],[279,387,419,363,333,335,307,467,309,405,311,375,124,317,351]) ).
thf(652,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] :
( ( D @ ( C @ ( B @ ( A @ ssPv25_4r1r1r1r1 ) ) ) )
| ( E @ ( D @ ( C @ ( B @ ( A @ ssPv24_5r1r1r1r1r1 ) ) ) ) )
| ~ ( A @ ssPv28_1r1 )
| ~ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv15_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[651]) ).
thf(653,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] :
( ( ( skc36 @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv15_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) )
!= ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ssPv15_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( Q @ ( P @ ( O @ ( N @ ssPv25_4r1r1r1r1 ) ) ) )
| ( R @ ( Q @ ( P @ ( O @ ( N @ ssPv24_5r1r1r1r1r1 ) ) ) ) )
| ~ ( N @ ssPv28_1r1 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[493,652]) ).
thf(654,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] :
( ( ( skc36 @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv15_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) )
!= ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ssPv15_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( Q @ ( P @ ( O @ ( N @ ssPv25_4r1r1r1r1 ) ) ) )
| ( R @ ( Q @ ( P @ ( O @ ( N @ ssPv24_5r1r1r1r1r1 ) ) ) ) )
| ~ ( N @ ssPv28_1r1 ) ),
inference(simp,[status(thm)],[653]) ).
thf(655,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( D @ ( C @ ( B @ ( A @ ssPv25_4r1r1r1r1 ) ) ) )
| ( E @ ( D @ ( C @ ( B @ ( A @ ssPv24_5r1r1r1r1r1 ) ) ) ) )
| ~ ( A @ ssPv28_1r1 ) ),
inference(pattern_uni,[status(thm)],[654:[bind(A,$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( skc36 ))]]) ).
thf(668,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( E @ ( D @ ( C @ ( B @ ( A @ ssPv24_5r1r1r1r1r1 ) ) ) ) )
!= ( skc47 @ ( I @ ( H @ ( G @ ( F @ ssPv24_5r1r1r1r1r1 ) ) ) ) ) )
| ~ $true
| ( D @ ( C @ ( B @ ( A @ ssPv25_4r1r1r1r1 ) ) ) )
| ~ ( A @ ssPv28_1r1 ) ),
inference(paramod_ordered,[status(thm)],[655,313]) ).
thf(669,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( E @ ( D @ ( C @ ( B @ ( A @ ssPv24_5r1r1r1r1r1 ) ) ) ) )
!= ( skc47 @ ( I @ ( H @ ( G @ ( F @ ssPv24_5r1r1r1r1r1 ) ) ) ) ) )
| ( D @ ( C @ ( B @ ( A @ ssPv25_4r1r1r1r1 ) ) ) )
| ~ ( A @ ssPv28_1r1 ) ),
inference(simp,[status(thm)],[668]) ).
thf(670,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( D @ ( C @ ( B @ ( A @ ssPv25_4r1r1r1r1 ) ) ) )
| ~ ( A @ ssPv28_1r1 ) ),
inference(pattern_uni,[status(thm)],[669:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( C )),bind(D,$thf( D )),bind(E,$thf( skc47 )),bind(F,$thf( A )),bind(G,$thf( B )),bind(H,$thf( C )),bind(I,$thf( D ))]]) ).
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] :
( ( skc34 @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv14_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(121,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] :
( ( skc34 @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv14_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(227,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] :
( ( skc34 @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv14_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)],[121]) ).
thf(613,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] :
( ( skc34 @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv14_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true ),
inference(rewrite,[status(thm)],[227,387,419,363,333,335,307,467,309,405,311,375,124,317,351]) ).
thf(614,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] : ( skc34 @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv14_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[613]) ).
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] :
( ( E @ ( D @ ( C @ ( B @ ( A @ ssPv24_5r1r1r1r1r1 ) ) ) ) )
| ~ ssNder1_0
| ~ ( A @ ssNder1_1r1 )
| ~ ( B @ ( A @ ssNder1_2r1r1 ) )
| ~ ( C @ ( B @ ( A @ ssNder1_3r1r1r1 ) ) )
| ~ ( D @ ( C @ ( B @ ( A @ ssNder1_4r1r1r1r1 ) ) ) )
| ~ ( D @ ( C @ ( B @ ( A @ ssPv25_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 @ ssPv18_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 ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv14_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( 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(112,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] :
( ( E @ ( D @ ( C @ ( B @ ( A @ ssPv24_5r1r1r1r1r1 ) ) ) ) )
| ~ ssNder1_0
| ~ ( A @ ssNder1_1r1 )
| ~ ( B @ ( A @ ssNder1_2r1r1 ) )
| ~ ( C @ ( B @ ( A @ ssNder1_3r1r1r1 ) ) )
| ~ ( D @ ( C @ ( B @ ( A @ ssNder1_4r1r1r1r1 ) ) ) )
| ~ ( D @ ( C @ ( B @ ( A @ ssPv25_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 @ ssPv18_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 ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv14_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( 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(273,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] :
( ( E @ ( D @ ( C @ ( B @ ( A @ ssPv24_5r1r1r1r1r1 ) ) ) ) )
| ~ ssNder1_0
| ~ ( A @ ssNder1_1r1 )
| ~ ( B @ ( A @ ssNder1_2r1r1 ) )
| ~ ( C @ ( B @ ( A @ ssNder1_3r1r1r1 ) ) )
| ~ ( D @ ( C @ ( B @ ( A @ ssNder1_4r1r1r1r1 ) ) ) )
| ~ ( D @ ( C @ ( B @ ( A @ ssPv25_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 @ ssPv18_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 ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv14_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[112]) ).
thf(1628,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] :
( ( E @ ( D @ ( C @ ( B @ ( A @ ssPv24_5r1r1r1r1r1 ) ) ) ) )
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ ( D @ ( C @ ( B @ ( A @ ssPv25_4r1r1r1r1 ) ) ) )
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv18_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ~ $true
| ~ $true
| ~ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv14_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(rewrite,[status(thm)],[273,387,419,363,333,335,307,467,309,405,311,375,536,124,317,351]) ).
thf(1629,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] :
( ( E @ ( D @ ( C @ ( B @ ( A @ ssPv24_5r1r1r1r1r1 ) ) ) ) )
| ~ ( D @ ( C @ ( B @ ( A @ ssPv25_4r1r1r1r1 ) ) ) )
| ~ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv18_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ~ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv14_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[1628]) ).
thf(1630,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] :
( ( ( skc34 @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv14_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
!= ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ssPv14_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( S @ ( R @ ( Q @ ( P @ ( O @ ssPv24_5r1r1r1r1r1 ) ) ) ) )
| ~ ( R @ ( Q @ ( P @ ( O @ ssPv25_4r1r1r1r1 ) ) ) )
| ~ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ssPv18_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[614,1629]) ).
thf(1631,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] :
( ( ( skc34 @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv14_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
!= ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ssPv14_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( S @ ( R @ ( Q @ ( P @ ( O @ ssPv24_5r1r1r1r1r1 ) ) ) ) )
| ~ ( R @ ( Q @ ( P @ ( O @ ssPv25_4r1r1r1r1 ) ) ) )
| ~ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ssPv18_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[1630]) ).
thf(1632,plain,
! [K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( E @ ( D @ ( C @ ( B @ ( A @ ssPv24_5r1r1r1r1r1 ) ) ) ) )
| ~ ( D @ ( C @ ( B @ ( A @ ssPv25_4r1r1r1r1 ) ) ) )
| ~ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv18_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[1631:[bind(A,$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( skc34 ))]]) ).
thf(1651,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] :
( ( ( D @ ( C @ ( B @ ( A @ ssPv25_4r1r1r1r1 ) ) ) )
!= ( H @ ( G @ ( F @ ( E @ ssPv25_4r1r1r1r1 ) ) ) ) )
| ( I @ ( H @ ( G @ ( F @ ( E @ ssPv24_5r1r1r1r1r1 ) ) ) ) )
| ~ $true
| ~ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ssPv18_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ~ ( A @ ssPv28_1r1 ) ),
inference(paramod_ordered,[status(thm)],[670,1632]) ).
thf(1652,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] :
( ( ( D @ ( C @ ( B @ ( A @ ssPv25_4r1r1r1r1 ) ) ) )
!= ( H @ ( G @ ( F @ ( E @ ssPv25_4r1r1r1r1 ) ) ) ) )
| ( I @ ( H @ ( G @ ( F @ ( E @ ssPv24_5r1r1r1r1r1 ) ) ) ) )
| ~ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ssPv18_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ~ ( A @ ssPv28_1r1 ) ),
inference(simp,[status(thm)],[1651]) ).
thf(1653,plain,
! [K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( E @ ( D @ ( C @ ( B @ ( A @ ssPv24_5r1r1r1r1r1 ) ) ) ) )
| ~ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv18_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ~ ( A @ ssPv28_1r1 ) ),
inference(pattern_uni,[status(thm)],[1652:[bind(A,$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 ))]]) ).
thf(1654,plain,
! [K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( E @ ( D @ ( C @ ( B @ ( A @ ssPv24_5r1r1r1r1r1 ) ) ) ) )
| ~ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv18_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ~ ( A @ ssPv28_1r1 ) ),
inference(simp,[status(thm)],[1653]) ).
thf(61,negated_conjecture,
! [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] :
( ( A @ ssPv28_1r1 )
| ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv22_7r1r1r1r1r1r1r1 ) ) ) ) ) ) )
| ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv18_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv7_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ 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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause61) ).
thf(122,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] :
( ( A @ ssPv28_1r1 )
| ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv22_7r1r1r1r1r1r1r1 ) ) ) ) ) ) )
| ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv18_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv7_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ 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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[61]) ).
thf(305,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] :
( ( A @ ssPv28_1r1 )
| ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv22_7r1r1r1r1r1r1r1 ) ) ) ) ) ) )
| ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv18_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv7_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ 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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[122]) ).
thf(446,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] :
( ( A @ ssPv28_1r1 )
| ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv22_7r1r1r1r1r1r1r1 ) ) ) ) ) ) )
| ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv18_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv7_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(rewrite,[status(thm)],[305,387,419,363,333,335,307,309,405,311,375,124,317,351]) ).
thf(447,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] :
( ( A @ ssPv28_1r1 )
| ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv22_7r1r1r1r1r1r1r1 ) ) ) ) ) ) )
| ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv18_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv7_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( 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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[446]) ).
thf(486,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] :
( ( A @ ssPv28_1r1 )
| ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv22_7r1r1r1r1r1r1r1 ) ) ) ) ) ) )
| ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv18_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv7_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ $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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(rewrite,[status(thm)],[447,467]) ).
thf(487,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] :
( ( A @ ssPv28_1r1 )
| ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv22_7r1r1r1r1r1r1r1 ) ) ) ) ) ) )
| ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv18_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv7_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( 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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[486]) ).
thf(555,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] :
( ( A @ ssPv28_1r1 )
| ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv22_7r1r1r1r1r1r1r1 ) ) ) ) ) ) )
| ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv18_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv7_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ $true
| ~ ( 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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(rewrite,[status(thm)],[487,536]) ).
thf(556,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] :
( ( A @ ssPv28_1r1 )
| ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv22_7r1r1r1r1r1r1r1 ) ) ) ) ) ) )
| ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv18_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv7_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( 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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[555]) ).
thf(584,plain,
! [ZQ: $i,ZP: $i,ZO: $i,ZN: $i,ZM: $i,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] :
( ( ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
!= ( ZP @ ( ZO @ ( ZN @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ssNder1_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( V @ ssPv28_1r1 )
| ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ssPv22_7r1r1r1r1r1r1r1 ) ) ) ) ) ) )
| ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ssPv18_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ( ZQ @ ( ZP @ ( ZO @ ( ZN @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ssPv7_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZN @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZO @ ( ZN @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ $true
| ~ ( 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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(paramod_ordered,[status(thm)],[580,556]) ).
thf(585,plain,
! [ZQ: $i,ZP: $i,ZO: $i,ZN: $i,ZM: $i,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] :
( ( ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
!= ( ZP @ ( ZO @ ( ZN @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ssNder1_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( V @ ssPv28_1r1 )
| ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ssPv22_7r1r1r1r1r1r1r1 ) ) ) ) ) ) )
| ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ssPv18_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ( ZQ @ ( ZP @ ( ZO @ ( ZN @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ssPv7_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZN @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZO @ ( ZN @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( 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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[584]) ).
thf(586,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] :
( ( A @ ssPv28_1r1 )
| ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv22_7r1r1r1r1r1r1r1 ) ) ) ) ) ) )
| ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv18_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv7_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( 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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( 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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[585:[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( S )),bind(T,$thf( T )),bind(U,$thf( U )),bind(V,$thf( A )),bind(W,$thf( B )),bind(X,$thf( C )),bind(Y,$thf( D )),bind(Z,$thf( E )),bind(ZA,$thf( F )),bind(ZB,$thf( G )),bind(ZC,$thf( H )),bind(ZD,$thf( I )),bind(ZE,$thf( J )),bind(ZF,$thf( K )),bind(ZG,$thf( L )),bind(ZH,$thf( M )),bind(ZI,$thf( N )),bind(ZJ,$thf( O )),bind(ZK,$thf( P )),bind(ZL,$thf( Q )),bind(ZM,$thf( R )),bind(ZN,$thf( S )),bind(ZO,$thf( T )),bind(ZP,$thf( U ))]]) ).
thf(588,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] :
( ( A @ ssPv28_1r1 )
| ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv22_7r1r1r1r1r1r1r1 ) ) ) ) ) ) )
| ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv18_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv7_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( 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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[586]) ).
thf(52,negated_conjecture,
! [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] :
( ~ 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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( skc29 @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv7_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause52) ).
thf(114,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] :
( ~ 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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( skc29 @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv7_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[52]) ).
thf(288,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] :
( ~ 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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( skc29 @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv7_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[114]) ).
thf(603,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] :
( ~ $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 @ 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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( skc29 @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv7_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(rewrite,[status(thm)],[288,387,419,363,333,335,307,467,309,405,311,375,536,124,317,351]) ).
thf(604,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] :
( ~ ( 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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( skc29 @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv7_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[603]) ).
thf(609,plain,
! [ZQ: $i,ZP: $i,ZO: $i,ZN: $i,ZM: $i,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] :
( ( ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv7_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
!= ( skc29 @ ( ZQ @ ( ZP @ ( ZO @ ( ZN @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ssPv7_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZN @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZO @ ( ZN @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZP @ ( ZO @ ( ZN @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ $true
| ( A @ ssPv28_1r1 )
| ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv22_7r1r1r1r1r1r1r1 ) ) ) ) ) ) )
| ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv18_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ~ ( 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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(paramod_ordered,[status(thm)],[588,604]) ).
thf(610,plain,
! [ZQ: $i,ZP: $i,ZO: $i,ZN: $i,ZM: $i,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] :
( ( ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv7_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
!= ( skc29 @ ( ZQ @ ( ZP @ ( ZO @ ( ZN @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ssPv7_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZN @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZO @ ( ZN @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZP @ ( ZO @ ( ZN @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( A @ ssPv28_1r1 )
| ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv22_7r1r1r1r1r1r1r1 ) ) ) ) ) ) )
| ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv18_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ~ ( 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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[609]) ).
thf(611,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] :
( ~ ( 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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( A @ ssPv28_1r1 )
| ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv22_7r1r1r1r1r1r1r1 ) ) ) ) ) ) )
| ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv18_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ~ ( 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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[610:[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( S )),bind(T,$thf( T )),bind(U,$thf( U )),bind(V,$thf( skc29 )),bind(W,$thf( A )),bind(X,$thf( B )),bind(Y,$thf( C )),bind(Z,$thf( D )),bind(ZA,$thf( E )),bind(ZB,$thf( F )),bind(ZC,$thf( G )),bind(ZD,$thf( H )),bind(ZE,$thf( I )),bind(ZF,$thf( J )),bind(ZG,$thf( K )),bind(ZH,$thf( L )),bind(ZI,$thf( M )),bind(ZJ,$thf( N )),bind(ZK,$thf( O )),bind(ZL,$thf( P )),bind(ZM,$thf( Q )),bind(ZN,$thf( R )),bind(ZO,$thf( S )),bind(ZP,$thf( T )),bind(ZQ,$thf( U ))]]) ).
thf(612,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] :
( ( A @ ssPv28_1r1 )
| ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv22_7r1r1r1r1r1r1r1 ) ) ) ) ) ) )
| ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv18_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ~ ( 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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[611]) ).
thf(846,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] :
( ( A @ ssPv28_1r1 )
| ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv22_7r1r1r1r1r1r1r1 ) ) ) ) ) ) )
| ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv18_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ~ $true
| ~ ( 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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(rewrite,[status(thm)],[612,791]) ).
thf(847,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] :
( ( A @ ssPv28_1r1 )
| ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv22_7r1r1r1r1r1r1r1 ) ) ) ) ) ) )
| ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv18_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ~ ( 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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[846]) ).
thf(1193,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] :
( ( A @ ssPv28_1r1 )
| ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv22_7r1r1r1r1r1r1r1 ) ) ) ) ) ) )
| ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv18_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ~ $true
| ~ ( 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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(rewrite,[status(thm)],[847,1168]) ).
thf(1194,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] :
( ( A @ ssPv28_1r1 )
| ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv22_7r1r1r1r1r1r1r1 ) ) ) ) ) ) )
| ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv18_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ~ ( 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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[1193]) ).
thf(2551,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] :
( ( A @ ssPv28_1r1 )
| ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv22_7r1r1r1r1r1r1r1 ) ) ) ) ) ) )
| ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv18_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ~ $true
| ~ ( 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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(rewrite,[status(thm)],[1194,2444]) ).
thf(2552,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] :
( ( A @ ssPv28_1r1 )
| ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv22_7r1r1r1r1r1r1r1 ) ) ) ) ) ) )
| ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv18_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ~ ( 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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[2551]) ).
thf(3488,plain,
! [ZM: $i,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 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
!= ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( T @ ssPv28_1r1 )
| ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ssPv22_7r1r1r1r1r1r1r1 ) ) ) ) ) ) )
| ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ssPv18_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ $true
| ~ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(paramod_ordered,[status(thm)],[3466,2552]) ).
thf(3489,plain,
! [ZM: $i,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 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
!= ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( T @ ssPv28_1r1 )
| ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ssPv22_7r1r1r1r1r1r1r1 ) ) ) ) ) ) )
| ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ssPv18_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[3488]) ).
thf(3490,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: $i] :
( ( A @ ssPv28_1r1 )
| ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv22_7r1r1r1r1r1r1r1 ) ) ) ) ) ) )
| ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv18_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ~ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[3489:[bind(A,$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( 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,$thf( G )),bind(ZA,$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(3597,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] :
( ( A @ ssPv28_1r1 )
| ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv22_7r1r1r1r1r1r1r1 ) ) ) ) ) ) )
| ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv18_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ~ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[3490]) ).
thf(4004,plain,
! [ZN: $i,ZM: $i,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] :
( ( ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
!= ( ZN @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( U @ ssPv28_1r1 )
| ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ssPv22_7r1r1r1r1r1r1r1 ) ) ) ) ) ) )
| ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ssPv18_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ~ $true
| ~ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(paramod_ordered,[status(thm)],[3979,3597]) ).
thf(4005,plain,
! [ZN: $i,ZM: $i,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] :
( ( ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
!= ( ZN @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( U @ ssPv28_1r1 )
| ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ssPv22_7r1r1r1r1r1r1r1 ) ) ) ) ) ) )
| ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ssPv18_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[4004]) ).
thf(4006,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: $i] :
( ( A @ ssPv28_1r1 )
| ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv22_7r1r1r1r1r1r1r1 ) ) ) ) ) ) )
| ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv18_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ~ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[4005:[bind(A,$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( S )),bind(T,$thf( T )),bind(U,$thf( A )),bind(V,$thf( B )),bind(W,$thf( C )),bind(X,$thf( D )),bind(Y,$thf( E )),bind(Z,$thf( F )),bind(ZA,$thf( G )),bind(ZB,$thf( H )),bind(ZC,$thf( I )),bind(ZD,$thf( J )),bind(ZE,$thf( K )),bind(ZF,$thf( L )),bind(ZG,$thf( M )),bind(ZH,$thf( N )),bind(ZI,$thf( O )),bind(ZJ,$thf( P )),bind(ZK,$thf( Q )),bind(ZL,$thf( R )),bind(ZM,$thf( S )),bind(ZN,$thf( T ))]]) ).
thf(4104,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] :
( ( A @ ssPv28_1r1 )
| ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv22_7r1r1r1r1r1r1r1 ) ) ) ) ) ) )
| ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv18_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ~ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[4006]) ).
thf(4394,plain,
! [K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( A @ ssPv28_1r1 )
| ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv22_7r1r1r1r1r1r1r1 ) ) ) ) ) ) )
| ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv18_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(rewrite,[status(thm)],[4104,4339]) ).
thf(4395,plain,
! [K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( A @ ssPv28_1r1 )
| ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv22_7r1r1r1r1r1r1r1 ) ) ) ) ) ) )
| ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv18_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[4394]) ).
thf(9,negated_conjecture,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( skc44 @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv23_6r1r1r1r1r1r1 ) ) ) ) ) )
| ~ 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',clause9) ).
thf(138,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( skc44 @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv23_6r1r1r1r1r1r1 ) ) ) ) ) )
| ~ 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)],[9]) ).
thf(205,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( skc44 @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv23_6r1r1r1r1r1r1 ) ) ) ) ) )
| ~ ssNder1_0
| ~ ( A @ ssNder1_1r1 )
| ~ ( B @ ( A @ ssNder1_2r1r1 ) )
| ~ ( C @ ( B @ ( A @ ssNder1_3r1r1r1 ) ) )
| ~ ( D @ ( C @ ( B @ ( A @ ssNder1_4r1r1r1r1 ) ) ) ) ),
inference(cnf,[status(esa)],[138]) ).
thf(326,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( skc44 @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv23_6r1r1r1r1r1r1 ) ) ) ) ) )
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true ),
inference(rewrite,[status(thm)],[205,307,309,311,124,317]) ).
thf(327,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] : ( skc44 @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv23_6r1r1r1r1r1r1 ) ) ) ) ) ),
inference(simp,[status(thm)],[326]) ).
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] :
( ( skc38 @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv16_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 ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause23) ).
thf(186,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] :
( ( skc38 @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv16_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 ) ) ) ) ) ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).
thf(287,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] :
( ( skc38 @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv16_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 ) ) ) ) ) ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[186]) ).
thf(448,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] :
( ( skc38 @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true ),
inference(rewrite,[status(thm)],[287,387,363,333,335,307,309,405,311,375,124,317,351]) ).
thf(449,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] : ( skc38 @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[448]) ).
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 @ ssPv10_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 ) ) ) ) ) )
| ~ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv23_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 @ ssPv18_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 ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv16_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(158,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 @ ssPv10_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 ) ) ) ) ) )
| ~ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv23_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 @ ssPv18_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 ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv16_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(286,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 @ ssPv10_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 ) ) ) ) ) )
| ~ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv23_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 @ ssPv18_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 ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv16_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)],[158]) ).
thf(2011,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 @ ssPv10_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv23_6r1r1r1r1r1r1 ) ) ) ) ) )
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv18_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ~ $true
| ~ $true
| ~ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ $true
| ~ $true
| ~ $true
| ~ ( 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)],[286,387,419,363,333,335,1168,307,467,309,405,311,375,791,536,124,317,351]) ).
thf(2012,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 @ ssPv10_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv23_6r1r1r1r1r1r1 ) ) ) ) ) )
| ~ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv18_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ~ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( 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)],[2011]) ).
thf(2013,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] :
( ( ( skc38 @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) )
!= ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ssPv10_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ssPv23_6r1r1r1r1r1r1 ) ) ) ) ) )
| ~ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ssPv18_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ~ $true
| ~ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(paramod_ordered,[status(thm)],[449,2012]) ).
thf(2014,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] :
( ( ( skc38 @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) )
!= ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ssPv10_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ssPv23_6r1r1r1r1r1r1 ) ) ) ) ) )
| ~ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ssPv18_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[2013]) ).
thf(2015,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: $i] :
( ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( skc38 @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv10_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv23_6r1r1r1r1r1r1 ) ) ) ) ) )
| ~ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv18_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ~ ( P @ ( O @ ( N @ ( M @ ( skc38 @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( Q @ ( P @ ( O @ ( N @ ( M @ ( skc38 @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[2014:[bind(A,$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( A )),bind(N,$thf( B )),bind(O,$thf( C )),bind(P,$thf( D )),bind(Q,$thf( E )),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( skc38 ))]]) ).
thf(2052,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 @ ( skc38 @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv10_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv23_6r1r1r1r1r1r1 ) ) ) ) ) )
| ~ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv18_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ~ ( P @ ( O @ ( N @ ( M @ ( skc38 @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( Q @ ( P @ ( O @ ( N @ ( M @ ( skc38 @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[2015]) ).
thf(2101,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] :
( ( ( skc44 @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv23_6r1r1r1r1r1r1 ) ) ) ) ) )
!= ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ssPv23_6r1r1r1r1r1r1 ) ) ) ) ) ) )
| ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( skc38 @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ssPv10_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ $true
| ~ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ssPv18_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ~ ( U @ ( T @ ( S @ ( R @ ( skc38 @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( V @ ( U @ ( T @ ( S @ ( R @ ( skc38 @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(paramod_ordered,[status(thm)],[327,2052]) ).
thf(2102,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] :
( ( ( skc44 @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv23_6r1r1r1r1r1r1 ) ) ) ) ) )
!= ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ssPv23_6r1r1r1r1r1r1 ) ) ) ) ) ) )
| ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( skc38 @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ssPv10_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ssPv18_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ~ ( U @ ( T @ ( S @ ( R @ ( skc38 @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( V @ ( U @ ( T @ ( S @ ( R @ ( skc38 @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[2101]) ).
thf(2103,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: $i] :
( ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( skc38 @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( skc44 @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv10_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( J @ ( I @ ( H @ ( G @ ( F @ ( skc44 @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv18_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ~ ( O @ ( N @ ( M @ ( L @ ( skc38 @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( skc44 @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( P @ ( O @ ( N @ ( M @ ( L @ ( skc38 @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( skc44 @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[2102:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( C )),bind(D,$thf( D )),bind(E,$thf( E )),bind(F,$thf( A )),bind(G,$thf( B )),bind(H,$thf( C )),bind(I,$thf( D )),bind(J,$thf( E )),bind(K,$thf( skc44 ))]]) ).
thf(2113,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 @ ( skc38 @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( skc44 @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv10_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( J @ ( I @ ( H @ ( G @ ( F @ ( skc44 @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv18_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ~ ( O @ ( N @ ( M @ ( L @ ( skc38 @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( skc44 @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( P @ ( O @ ( N @ ( M @ ( L @ ( skc38 @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( skc44 @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[2103]) ).
thf(2597,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 @ ( skc38 @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( skc44 @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv10_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( J @ ( I @ ( H @ ( G @ ( F @ ( skc44 @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv18_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ~ $true
| ~ ( P @ ( O @ ( N @ ( M @ ( L @ ( skc38 @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( skc44 @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(rewrite,[status(thm)],[2113,2444]) ).
thf(2598,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 @ ( skc38 @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( skc44 @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv10_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( J @ ( I @ ( H @ ( G @ ( F @ ( skc44 @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv18_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ~ ( P @ ( O @ ( N @ ( M @ ( L @ ( skc38 @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( skc44 @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[2597]) ).
thf(4414,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 @ ( skc38 @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( skc44 @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv10_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( J @ ( I @ ( H @ ( G @ ( F @ ( skc44 @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv18_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(rewrite,[status(thm)],[2598,4339]) ).
thf(4415,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 @ ( skc38 @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( skc44 @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv10_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( J @ ( I @ ( H @ ( G @ ( F @ ( skc44 @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv18_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[4414]) ).
thf(4706,plain,
! [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] :
( ( ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv18_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
!= ( U @ ( T @ ( S @ ( R @ ( Q @ ( skc44 @ ( P @ ( O @ ( N @ ( M @ ( L @ ssPv18_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) )
| ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( skc38 @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( skc44 @ ( P @ ( O @ ( N @ ( M @ ( L @ ssPv10_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ $true
| ( A @ ssPv28_1r1 )
| ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv22_7r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ),
inference(paramod_ordered,[status(thm)],[4395,4415]) ).
thf(4707,plain,
! [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] :
( ( ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv18_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
!= ( U @ ( T @ ( S @ ( R @ ( Q @ ( skc44 @ ( P @ ( O @ ( N @ ( M @ ( L @ ssPv18_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) )
| ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( skc38 @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( skc44 @ ( P @ ( O @ ( N @ ( M @ ( L @ ssPv10_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( A @ ssPv28_1r1 )
| ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv22_7r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[4706]) ).
thf(4708,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: $i] :
( ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( skc38 @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( skc44 @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv10_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( A @ ssPv28_1r1 )
| ( F @ ( skc44 @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv22_7r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[4707:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( C )),bind(D,$thf( D )),bind(E,$thf( E )),bind(F,$thf( skc44 )),bind(G,$thf( G )),bind(H,$thf( H )),bind(I,$thf( I )),bind(J,$thf( J )),bind(K,$thf( K )),bind(L,$thf( A )),bind(M,$thf( B )),bind(N,$thf( C )),bind(O,$thf( D )),bind(P,$thf( E )),bind(Q,$thf( G )),bind(R,$thf( H )),bind(S,$thf( I )),bind(T,$thf( J )),bind(U,$thf( K ))]]) ).
thf(4710,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 @ ( skc38 @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( skc44 @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv10_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( A @ ssPv28_1r1 )
| ( F @ ( skc44 @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv22_7r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[4708]) ).
thf(46,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] :
( ( skc30 @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv8_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ 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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( 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',clause46) ).
thf(117,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] :
( ( skc30 @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv8_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ 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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( 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)],[46]) ).
thf(232,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] :
( ( skc30 @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv8_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ 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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( 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)],[117]) ).
thf(1339,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] :
( ( skc30 @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv8_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $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 @ 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(rewrite,[status(thm)],[232,387,419,363,333,335,1168,307,467,309,405,311,375,791,536,124,317,351]) ).
thf(1340,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] :
( ( skc30 @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv8_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( 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(simp,[status(thm)],[1339]) ).
thf(2565,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] :
( ( skc30 @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv8_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ $true
| ~ ( 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(rewrite,[status(thm)],[1340,2444]) ).
thf(2566,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] :
( ( skc30 @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv8_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( 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(simp,[status(thm)],[2565]) ).
thf(3515,plain,
! [ZM: $i,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 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
!= ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( skc30 @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ssPv8_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ $true
| ~ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(paramod_ordered,[status(thm)],[3466,2566]) ).
thf(3516,plain,
! [ZM: $i,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 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
!= ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( skc30 @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ssPv8_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[3515]) ).
thf(3517,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: $i] :
( ( skc30 @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv8_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[3516:[bind(A,$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( 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,$thf( G )),bind(ZA,$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(3614,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] :
( ( skc30 @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv8_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[3517]) ).
thf(4454,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] :
( ( skc30 @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv8_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(rewrite,[status(thm)],[3614,4339]) ).
thf(4455,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] : ( skc30 @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv8_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[4454]) ).
thf(85,negated_conjecture,
! [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] :
( ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv4_25r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ 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 ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv16_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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv10_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv8_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_23r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_24r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause85) ).
thf(128,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] :
( ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv4_25r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ 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 ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv16_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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv10_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv8_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_23r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_24r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[85]) ).
thf(247,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] :
( ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv4_25r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ 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 ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv16_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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv10_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv8_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_23r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_24r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[128]) ).
thf(1133,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] :
( ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv4_25r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ $true
| ~ $true
| ~ ( 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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv10_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv8_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_23r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_24r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(rewrite,[status(thm)],[247,387,419,363,333,335,307,467,309,405,311,375,791,536,124,317,351]) ).
thf(1134,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] :
( ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv4_25r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( 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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv10_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv8_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_23r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_24r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[1133]) ).
thf(1138,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] :
( ( ( skc38 @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) )
!= ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ssPv4_25r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ $true
| ~ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ssPv10_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ssNder1_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ssPv8_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ssNder1_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ssNder1_23r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ssNder1_24r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(paramod_ordered,[status(thm)],[449,1134]) ).
thf(1139,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] :
( ( ( skc38 @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) )
!= ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ssPv4_25r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ssPv10_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ssNder1_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ssPv8_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ssNder1_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ssNder1_23r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ssNder1_24r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[1138]) ).
thf(1140,plain,
! [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] :
( ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( skc38 @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv4_25r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( O @ ( N @ ( M @ ( skc38 @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( P @ ( O @ ( N @ ( M @ ( skc38 @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( Q @ ( P @ ( O @ ( N @ ( M @ ( skc38 @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( skc38 @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( skc38 @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv10_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( skc38 @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( skc38 @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( skc38 @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv8_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( skc38 @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( skc38 @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_23r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( skc38 @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_24r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[1139:[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( A )),bind(N,$thf( B )),bind(O,$thf( C )),bind(P,$thf( D )),bind(Q,$thf( E )),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( skc38 ))]]) ).
thf(1148,plain,
! [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] :
( ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( skc38 @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv4_25r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( O @ ( N @ ( M @ ( skc38 @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( P @ ( O @ ( N @ ( M @ ( skc38 @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( Q @ ( P @ ( O @ ( N @ ( M @ ( skc38 @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( skc38 @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( skc38 @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv10_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( skc38 @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( skc38 @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( skc38 @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv8_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( skc38 @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( skc38 @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_23r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( skc38 @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_24r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[1140]) ).
thf(6483,plain,
! [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] :
( ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( skc38 @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv4_25r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( skc38 @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv10_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ $true
| ~ $true
| ~ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( skc38 @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv8_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ $true
| ~ $true
| ~ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( skc38 @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_24r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(rewrite,[status(thm)],[1148,1168,4401,4339,4355,4501,4361,4347,2444]) ).
thf(6484,plain,
! [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] :
( ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( skc38 @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv4_25r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( skc38 @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv10_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( skc38 @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv8_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( skc38 @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_24r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[6483]) ).
thf(6533,plain,
! [ZR: $i,ZQ: $i,ZP: $i,ZO: $i,ZN: $i,ZM: $i,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] :
( ( ( skc30 @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv8_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
!= ( ZN @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( skc38 @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ssPv8_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( ZR @ ( ZQ @ ( ZP @ ( ZO @ ( ZN @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( skc38 @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ssPv4_25r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( skc38 @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ssPv10_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ $true
| ~ ( ZQ @ ( ZP @ ( ZO @ ( ZN @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( skc38 @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ssNder1_24r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(paramod_ordered,[status(thm)],[4455,6484]) ).
thf(6534,plain,
! [ZR: $i,ZQ: $i,ZP: $i,ZO: $i,ZN: $i,ZM: $i,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] :
( ( ( skc30 @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv8_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
!= ( ZN @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( skc38 @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ssPv8_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( ZR @ ( ZQ @ ( ZP @ ( ZO @ ( ZN @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( skc38 @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ssPv4_25r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( skc38 @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ssPv10_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZQ @ ( ZP @ ( ZO @ ( ZN @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( skc38 @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ssNder1_24r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[6533]) ).
thf(6535,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: $i] :
( ( W @ ( V @ ( U @ ( T @ ( skc30 @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( skc38 @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv4_25r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( skc38 @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv10_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( V @ ( U @ ( T @ ( skc30 @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( skc38 @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_24r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[6534:[bind(A,$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( skc38 )),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,$thf( T )),bind(U,$thf( A )),bind(V,$thf( B )),bind(W,$thf( C )),bind(X,$thf( D )),bind(Y,$thf( E )),bind(Z,$thf( F )),bind(ZA,$thf( G )),bind(ZB,$thf( H )),bind(ZC,$thf( I )),bind(ZD,$thf( J )),bind(ZE,$thf( K )),bind(ZF,$thf( L )),bind(ZG,$thf( N )),bind(ZH,$thf( O )),bind(ZI,$thf( P )),bind(ZJ,$thf( Q )),bind(ZK,$thf( R )),bind(ZL,$thf( S )),bind(ZM,$thf( T )),bind(ZN,$thf( skc30 ))]]) ).
thf(6553,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] :
( ( W @ ( V @ ( U @ ( T @ ( skc30 @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( skc38 @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv4_25r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( skc38 @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv10_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( V @ ( U @ ( T @ ( skc30 @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( skc38 @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_24r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[6535]) ).
thf(51,negated_conjecture,
! [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] :
( ( skc28 @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv7_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ 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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause51) ).
thf(193,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] :
( ( skc28 @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv7_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ 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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[51]) ).
thf(243,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] :
( ( skc28 @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv7_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ 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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[193]) ).
thf(2073,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] :
( ( skc28 @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv7_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $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 @ 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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(rewrite,[status(thm)],[243,387,419,363,333,335,1168,307,467,309,405,311,375,791,536,124,317,351]) ).
thf(2074,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] :
( ( skc28 @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv7_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( 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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[2073]) ).
thf(2633,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] :
( ( skc28 @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv7_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ $true
| ~ ( 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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(rewrite,[status(thm)],[2074,2444]) ).
thf(2634,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] :
( ( skc28 @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv7_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( 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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[2633]) ).
thf(3521,plain,
! [ZN: $i,ZM: $i,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 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
!= ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( skc28 @ ( ZN @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ssPv7_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ $true
| ~ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(paramod_ordered,[status(thm)],[3466,2634]) ).
thf(3522,plain,
! [ZN: $i,ZM: $i,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 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
!= ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( skc28 @ ( ZN @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ssPv7_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[3521]) ).
thf(3523,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: $i] :
( ( skc28 @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv7_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[3522:[bind(A,$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( 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,$thf( G )),bind(ZA,$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(3579,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] :
( ( skc28 @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv7_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[3523]) ).
thf(4055,plain,
! [ZO: $i,ZN: $i,ZM: $i,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] :
( ( ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
!= ( ZN @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( skc28 @ ( ZO @ ( ZN @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ssPv7_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ $true
| ~ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(paramod_ordered,[status(thm)],[3979,3579]) ).
thf(4056,plain,
! [ZO: $i,ZN: $i,ZM: $i,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] :
( ( ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
!= ( ZN @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( skc28 @ ( ZO @ ( ZN @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ssPv7_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[4055]) ).
thf(4057,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: $i] :
( ( skc28 @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv7_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[4056:[bind(A,$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( S )),bind(T,$thf( T )),bind(U,$thf( A )),bind(V,$thf( B )),bind(W,$thf( C )),bind(X,$thf( D )),bind(Y,$thf( E )),bind(Z,$thf( F )),bind(ZA,$thf( G )),bind(ZB,$thf( H )),bind(ZC,$thf( I )),bind(ZD,$thf( J )),bind(ZE,$thf( K )),bind(ZF,$thf( L )),bind(ZG,$thf( M )),bind(ZH,$thf( N )),bind(ZI,$thf( O )),bind(ZJ,$thf( P )),bind(ZK,$thf( Q )),bind(ZL,$thf( R )),bind(ZM,$thf( S )),bind(ZN,$thf( T ))]]) ).
thf(4096,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] :
( ( skc28 @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv7_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[4057]) ).
thf(4438,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] :
( ( skc28 @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv7_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(rewrite,[status(thm)],[4096,4339]) ).
thf(4439,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] : ( skc28 @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv7_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[4438]) ).
thf(82,negated_conjecture,
! [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] :
( ( C @ ( B @ ( A @ ssPv26_3r1r1r1 ) ) )
| ~ 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 @ ssPv14_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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv7_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_23r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv4_25r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_24r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause82) ).
thf(190,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] :
( ( C @ ( B @ ( A @ ssPv26_3r1r1r1 ) ) )
| ~ 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 @ ssPv14_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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv7_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_23r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv4_25r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_24r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[82]) ).
thf(294,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] :
( ( C @ ( B @ ( A @ ssPv26_3r1r1r1 ) ) )
| ~ 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 @ ssPv14_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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv7_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_23r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv4_25r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_24r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[190]) ).
thf(1079,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] :
( ( C @ ( B @ ( A @ ssPv26_3r1r1r1 ) ) )
| ~ $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 @ ssPv14_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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv7_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_23r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv4_25r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_24r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(rewrite,[status(thm)],[294,387,419,363,333,335,307,467,309,405,311,375,791,536,124,317,351]) ).
thf(1080,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] :
( ( C @ ( B @ ( A @ ssPv26_3r1r1r1 ) ) )
| ~ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv14_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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv7_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_23r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv4_25r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_24r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[1079]) ).
thf(1090,plain,
! [ZU: $i,ZT: $i,ZS: $i,ZR: $i,ZQ: $i,ZP: $i,ZO: $i,ZN: $i,ZM: $i,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] :
( ( ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
!= ( ZR @ ( ZQ @ ( ZP @ ( ZO @ ( ZN @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ssNder1_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( Y @ ( X @ ( W @ ssPv26_3r1r1r1 ) ) )
| ~ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ssPv14_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZN @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZO @ ( ZN @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZP @ ( ZO @ ( ZN @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZQ @ ( ZP @ ( ZO @ ( ZN @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ssNder1_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ $true
| ~ ( ZR @ ( ZQ @ ( ZP @ ( ZO @ ( ZN @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ssPv7_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZS @ ( ZR @ ( ZQ @ ( ZP @ ( ZO @ ( ZN @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ssNder1_23r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZU @ ( ZT @ ( ZS @ ( ZR @ ( ZQ @ ( ZP @ ( ZO @ ( ZN @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ssPv4_25r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZT @ ( ZS @ ( ZR @ ( ZQ @ ( ZP @ ( ZO @ ( ZN @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ssNder1_24r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( 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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(paramod_ordered,[status(thm)],[845,1080]) ).
thf(1091,plain,
! [ZU: $i,ZT: $i,ZS: $i,ZR: $i,ZQ: $i,ZP: $i,ZO: $i,ZN: $i,ZM: $i,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] :
( ( ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
!= ( ZR @ ( ZQ @ ( ZP @ ( ZO @ ( ZN @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ssNder1_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( Y @ ( X @ ( W @ ssPv26_3r1r1r1 ) ) )
| ~ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ssPv14_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZN @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZO @ ( ZN @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZP @ ( ZO @ ( ZN @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZQ @ ( ZP @ ( ZO @ ( ZN @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ssNder1_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZR @ ( ZQ @ ( ZP @ ( ZO @ ( ZN @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ssPv7_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZS @ ( ZR @ ( ZQ @ ( ZP @ ( ZO @ ( ZN @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ssNder1_23r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZU @ ( ZT @ ( ZS @ ( ZR @ ( ZQ @ ( ZP @ ( ZO @ ( ZN @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ssPv4_25r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZT @ ( ZS @ ( ZR @ ( ZQ @ ( ZP @ ( ZO @ ( ZN @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ssNder1_24r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( 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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[1090]) ).
thf(1092,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] :
( ( C @ ( B @ ( A @ ssPv26_3r1r1r1 ) ) )
| ~ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv14_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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv7_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_23r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv4_25r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_24r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( 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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[1091:[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( S )),bind(T,$thf( T )),bind(U,$thf( U )),bind(V,$thf( V )),bind(W,$thf( A )),bind(X,$thf( B )),bind(Y,$thf( C )),bind(Z,$thf( D )),bind(ZA,$thf( E )),bind(ZB,$thf( F )),bind(ZC,$thf( G )),bind(ZD,$thf( H )),bind(ZE,$thf( I )),bind(ZF,$thf( J )),bind(ZG,$thf( K )),bind(ZH,$thf( L )),bind(ZI,$thf( M )),bind(ZJ,$thf( N )),bind(ZK,$thf( O )),bind(ZL,$thf( P )),bind(ZM,$thf( Q )),bind(ZN,$thf( R )),bind(ZO,$thf( S )),bind(ZP,$thf( T )),bind(ZQ,$thf( U )),bind(ZR,$thf( V ))]]) ).
thf(1093,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] :
( ( C @ ( B @ ( A @ ssPv26_3r1r1r1 ) ) )
| ~ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv14_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv7_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_23r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv4_25r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_24r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( 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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[1092]) ).
thf(5850,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] :
( ( C @ ( B @ ( A @ ssPv26_3r1r1r1 ) ) )
| ~ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv14_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ $true
| ~ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv7_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ $true
| ~ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv4_25r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_24r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true ),
inference(rewrite,[status(thm)],[1093,1168,4401,4339,4355,4361,4347,2444]) ).
thf(5851,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] :
( ( C @ ( B @ ( A @ ssPv26_3r1r1r1 ) ) )
| ~ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv14_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv7_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv4_25r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_24r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[5850]) ).
thf(5855,plain,
! [ZT: $i,ZS: $i,ZR: $i,ZQ: $i,ZP: $i,ZO: $i,ZN: $i,ZM: $i,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] :
( ( ( skc28 @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv7_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
!= ( ZQ @ ( ZP @ ( ZO @ ( ZN @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ssPv7_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( X @ ( W @ ( V @ ssPv26_3r1r1r1 ) ) )
| ~ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ssPv14_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ $true
| ~ ( ZT @ ( ZS @ ( ZR @ ( ZQ @ ( ZP @ ( ZO @ ( ZN @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ssPv4_25r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZS @ ( ZR @ ( ZQ @ ( ZP @ ( ZO @ ( ZN @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ssNder1_24r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(paramod_ordered,[status(thm)],[4439,5851]) ).
thf(5856,plain,
! [ZT: $i,ZS: $i,ZR: $i,ZQ: $i,ZP: $i,ZO: $i,ZN: $i,ZM: $i,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] :
( ( ( skc28 @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv7_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
!= ( ZQ @ ( ZP @ ( ZO @ ( ZN @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ssPv7_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( X @ ( W @ ( V @ ssPv26_3r1r1r1 ) ) )
| ~ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ssPv14_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZT @ ( ZS @ ( ZR @ ( ZQ @ ( ZP @ ( ZO @ ( ZN @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ssPv4_25r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZS @ ( ZR @ ( ZQ @ ( ZP @ ( ZO @ ( ZN @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ssNder1_24r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[5855]) ).
thf(5857,plain,
! [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: $i] :
( ( C @ ( B @ ( A @ ssPv26_3r1r1r1 ) ) )
| ~ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv14_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( X @ ( W @ ( V @ ( skc28 @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv4_25r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( W @ ( V @ ( skc28 @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_24r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[5856:[bind(A,$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( S )),bind(T,$thf( T )),bind(U,$thf( U )),bind(V,$thf( A )),bind(W,$thf( B )),bind(X,$thf( C )),bind(Y,$thf( D )),bind(Z,$thf( E )),bind(ZA,$thf( F )),bind(ZB,$thf( G )),bind(ZC,$thf( H )),bind(ZD,$thf( I )),bind(ZE,$thf( J )),bind(ZF,$thf( K )),bind(ZG,$thf( L )),bind(ZH,$thf( M )),bind(ZI,$thf( N )),bind(ZJ,$thf( O )),bind(ZK,$thf( P )),bind(ZL,$thf( Q )),bind(ZM,$thf( R )),bind(ZN,$thf( S )),bind(ZO,$thf( T )),bind(ZP,$thf( U )),bind(ZQ,$thf( skc28 ))]]) ).
thf(5870,plain,
! [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] :
( ( C @ ( B @ ( A @ ssPv26_3r1r1r1 ) ) )
| ~ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv14_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( X @ ( W @ ( V @ ( skc28 @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv4_25r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( W @ ( V @ ( skc28 @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_24r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[5857]) ).
thf(5876,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] :
( ( ( skc34 @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv14_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
!= ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ssPv14_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( Q @ ( P @ ( O @ ssPv26_3r1r1r1 ) ) )
| ~ $true
| ~ ( ZL @ ( ZK @ ( ZJ @ ( skc28 @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ssPv4_25r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZK @ ( ZJ @ ( skc28 @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ssNder1_24r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(paramod_ordered,[status(thm)],[614,5870]) ).
thf(5877,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] :
( ( ( skc34 @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv14_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
!= ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ssPv14_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( Q @ ( P @ ( O @ ssPv26_3r1r1r1 ) ) )
| ~ ( ZL @ ( ZK @ ( ZJ @ ( skc28 @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ssPv4_25r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZK @ ( ZJ @ ( skc28 @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ssNder1_24r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[5876]) ).
thf(5878,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: $i] :
( ( C @ ( B @ ( A @ ssPv26_3r1r1r1 ) ) )
| ~ ( W @ ( V @ ( U @ ( skc28 @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( skc34 @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv4_25r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( V @ ( U @ ( skc28 @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( skc34 @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_24r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[5877:[bind(A,$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( skc34 ))]]) ).
thf(5892,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] :
( ( C @ ( B @ ( A @ ssPv26_3r1r1r1 ) ) )
| ~ ( W @ ( V @ ( U @ ( skc28 @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( skc34 @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv4_25r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( V @ ( U @ ( skc28 @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( skc34 @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_24r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[5878]) ).
thf(6893,plain,
! [ZT: $i,ZS: $i,ZR: $i,ZQ: $i,ZP: $i,ZO: $i,ZN: $i,ZM: $i,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] :
( ( ( W @ ( V @ ( U @ ( T @ ( skc30 @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( skc38 @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv4_25r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
!= ( ZT @ ( ZS @ ( ZR @ ( skc28 @ ( ZQ @ ( ZP @ ( ZO @ ( ZN @ ( ZM @ ( ZL @ ( skc34 @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ssPv4_25r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( Z @ ( Y @ ( X @ ssPv26_3r1r1r1 ) ) )
| ~ $true
| ~ ( ZS @ ( ZR @ ( skc28 @ ( ZQ @ ( ZP @ ( ZO @ ( ZN @ ( ZM @ ( ZL @ ( skc34 @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ssNder1_24r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( skc38 @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv10_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( V @ ( U @ ( T @ ( skc30 @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( skc38 @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_24r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(paramod_ordered,[status(thm)],[6553,5892]) ).
thf(6894,plain,
! [ZT: $i,ZS: $i,ZR: $i,ZQ: $i,ZP: $i,ZO: $i,ZN: $i,ZM: $i,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] :
( ( ( W @ ( V @ ( U @ ( T @ ( skc30 @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( skc38 @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv4_25r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
!= ( ZT @ ( ZS @ ( ZR @ ( skc28 @ ( ZQ @ ( ZP @ ( ZO @ ( ZN @ ( ZM @ ( ZL @ ( skc34 @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ssPv4_25r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( Z @ ( Y @ ( X @ ssPv26_3r1r1r1 ) ) )
| ~ ( ZS @ ( ZR @ ( skc28 @ ( ZQ @ ( ZP @ ( ZO @ ( ZN @ ( ZM @ ( ZL @ ( skc34 @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ssNder1_24r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( skc38 @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv10_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( V @ ( U @ ( T @ ( skc30 @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( skc38 @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_24r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[6893]) ).
thf(6895,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: $i] :
( ( C @ ( B @ ( A @ ssPv26_3r1r1r1 ) ) )
| ~ ( T @ ( S @ ( skc28 @ ( skc30 @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( skc34 @ ( M @ ( skc38 @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_24r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( Q @ ( P @ ( O @ ( N @ ( skc34 @ ( M @ ( skc38 @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv10_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( T @ ( S @ ( skc28 @ ( skc30 @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( skc34 @ ( M @ ( skc38 @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_24r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[6894:[bind(A,$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,$thf( skc34 )),bind(O,$thf( O )),bind(P,$thf( P )),bind(Q,$thf( Q )),bind(R,$thf( R )),bind(S,$thf( S )),bind(T,$thf( skc28 )),bind(U,$thf( U )),bind(V,$thf( V )),bind(W,$thf( W )),bind(X,$thf( A )),bind(Y,$thf( B )),bind(Z,$thf( C )),bind(ZA,$thf( D )),bind(ZB,$thf( E )),bind(ZC,$thf( F )),bind(ZD,$thf( G )),bind(ZE,$thf( H )),bind(ZF,$thf( I )),bind(ZG,$thf( J )),bind(ZH,$thf( K )),bind(ZI,$thf( L )),bind(ZJ,$thf( skc38 )),bind(ZK,$thf( M )),bind(ZL,$thf( O )),bind(ZM,$thf( P )),bind(ZN,$thf( Q )),bind(ZO,$thf( R )),bind(ZP,$thf( S )),bind(ZQ,$thf( skc30 )),bind(ZR,$thf( U )),bind(ZS,$thf( V )),bind(ZT,$thf( W ))]]) ).
thf(6945,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] :
( ( C @ ( B @ ( A @ ssPv26_3r1r1r1 ) ) )
| ~ ( Q @ ( P @ ( O @ ( N @ ( skc34 @ ( M @ ( skc38 @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv10_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( T @ ( S @ ( skc28 @ ( skc30 @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( skc34 @ ( M @ ( skc38 @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_24r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[6895]) ).
thf(6988,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] :
( ( ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( skc38 @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( skc44 @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv10_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
!= ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( skc34 @ ( ZD @ ( skc38 @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ssPv10_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( T @ ( S @ ( R @ ssPv26_3r1r1r1 ) ) )
| ~ $true
| ~ ( ZK @ ( ZJ @ ( skc28 @ ( skc30 @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( skc34 @ ( ZD @ ( skc38 @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ssNder1_24r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( A @ ssPv28_1r1 )
| ( F @ ( skc44 @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv22_7r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ),
inference(paramod_ordered,[status(thm)],[4710,6945]) ).
thf(6989,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] :
( ( ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( skc38 @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( skc44 @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv10_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
!= ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( skc34 @ ( ZD @ ( skc38 @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ssPv10_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( T @ ( S @ ( R @ ssPv26_3r1r1r1 ) ) )
| ~ ( ZK @ ( ZJ @ ( skc28 @ ( skc30 @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( skc34 @ ( ZD @ ( skc38 @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ssNder1_24r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( A @ ssPv28_1r1 )
| ( F @ ( skc44 @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv22_7r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[6988]) ).
thf(6990,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: $i] :
( ( C @ ( B @ ( A @ ssPv26_3r1r1r1 ) ) )
| ~ ( S @ ( R @ ( skc28 @ ( skc30 @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( skc34 @ ( L @ ( skc38 @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( skc44 @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_24r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( A @ ssPv28_1r1 )
| ( F @ ( skc44 @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv22_7r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[6989:[bind(A,$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( skc34 )),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( skc44 )),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( N )),bind(ZF,$thf( O )),bind(ZG,$thf( P )),bind(ZH,$thf( Q ))]]) ).
thf(7008,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] :
( ( C @ ( B @ ( A @ ssPv26_3r1r1r1 ) ) )
| ~ ( S @ ( R @ ( skc28 @ ( skc30 @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( skc34 @ ( L @ ( skc38 @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( skc44 @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_24r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( A @ ssPv28_1r1 )
| ( F @ ( skc44 @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv22_7r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[6990]) ).
thf(67,negated_conjecture,
! [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] :
( ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_24r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ 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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_23r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause67) ).
thf(175,plain,
! [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] :
( ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_24r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ 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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_23r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[67]) ).
thf(282,plain,
! [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] :
( ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_24r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ 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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_23r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[175]) ).
thf(1769,plain,
! [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] :
( ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_24r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $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 @ 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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_23r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(rewrite,[status(thm)],[282,387,419,363,333,335,1168,307,467,309,405,311,375,791,536,124,317,351]) ).
thf(1770,plain,
! [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] :
( ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_24r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( 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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_23r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[1769]) ).
thf(1847,plain,
! [ZU: $i,ZT: $i,ZS: $i,ZR: $i,ZQ: $i,ZP: $i,ZO: $i,ZN: $i,ZM: $i,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] :
( ( ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_23r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
!= ( ZT @ ( ZS @ ( ZR @ ( ZQ @ ( ZP @ ( ZO @ ( ZN @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ssNder1_23r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( ZU @ ( ZT @ ( ZS @ ( ZR @ ( ZQ @ ( ZP @ ( ZO @ ( ZN @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ssNder1_24r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZN @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZO @ ( ZN @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZP @ ( ZO @ ( ZN @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZQ @ ( ZP @ ( ZO @ ( ZN @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZR @ ( ZQ @ ( ZP @ ( ZO @ ( ZN @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ssNder1_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZS @ ( ZR @ ( ZQ @ ( ZP @ ( ZO @ ( ZN @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ssNder1_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ $true
| ~ ( 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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(paramod_ordered,[status(thm)],[1816,1770]) ).
thf(1848,plain,
! [ZU: $i,ZT: $i,ZS: $i,ZR: $i,ZQ: $i,ZP: $i,ZO: $i,ZN: $i,ZM: $i,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] :
( ( ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_23r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
!= ( ZT @ ( ZS @ ( ZR @ ( ZQ @ ( ZP @ ( ZO @ ( ZN @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ssNder1_23r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( ZU @ ( ZT @ ( ZS @ ( ZR @ ( ZQ @ ( ZP @ ( ZO @ ( ZN @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ssNder1_24r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZN @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZO @ ( ZN @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZP @ ( ZO @ ( ZN @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZQ @ ( ZP @ ( ZO @ ( ZN @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZR @ ( ZQ @ ( ZP @ ( ZO @ ( ZN @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ssNder1_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZS @ ( ZR @ ( ZQ @ ( ZP @ ( ZO @ ( ZN @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ssNder1_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( 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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[1847]) ).
thf(1849,plain,
! [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] :
( ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_24r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( 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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( 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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[1848:[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( S )),bind(T,$thf( T )),bind(U,$thf( U )),bind(V,$thf( V )),bind(W,$thf( W )),bind(X,$thf( A )),bind(Y,$thf( B )),bind(Z,$thf( C )),bind(ZA,$thf( D )),bind(ZB,$thf( E )),bind(ZC,$thf( F )),bind(ZD,$thf( G )),bind(ZE,$thf( H )),bind(ZF,$thf( I )),bind(ZG,$thf( J )),bind(ZH,$thf( K )),bind(ZI,$thf( L )),bind(ZJ,$thf( M )),bind(ZK,$thf( N )),bind(ZL,$thf( O )),bind(ZM,$thf( P )),bind(ZN,$thf( Q )),bind(ZO,$thf( R )),bind(ZP,$thf( S )),bind(ZQ,$thf( T )),bind(ZR,$thf( U )),bind(ZS,$thf( V )),bind(ZT,$thf( W ))]]) ).
thf(1872,plain,
! [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] :
( ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_24r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( 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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[1849]) ).
thf(8806,plain,
! [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] :
( ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_24r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true ),
inference(rewrite,[status(thm)],[1872,4339,4355,4501,4361,4347,2444]) ).
thf(8807,plain,
! [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] : ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_24r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[8806]) ).
thf(8812,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( A @ ssPv26_3r1r1r1 ) ) )
| ~ $true
| ( A @ ssPv28_1r1 )
| ( F @ ( skc44 @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv22_7r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ),
inference(rewrite,[status(thm)],[7008,8807]) ).
thf(8813,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( A @ ssPv26_3r1r1r1 ) ) )
| ( A @ ssPv28_1r1 )
| ( F @ ( skc44 @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv22_7r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[8812]) ).
thf(13,negated_conjecture,
! [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 ) ) ) ) )
| ~ ( skc43 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv22_7r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause13) ).
thf(142,plain,
! [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 ) ) ) ) )
| ~ ( skc43 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv22_7r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(213,plain,
! [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 ) ) ) ) )
| ~ ( skc43 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv22_7r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[142]) ).
thf(336,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ ( skc43 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv22_7r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ),
inference(rewrite,[status(thm)],[213,307,309,311,124,317,333]) ).
thf(337,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
~ ( skc43 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv22_7r1r1r1r1r1r1r1 ) ) ) ) ) ) ),
inference(simp,[status(thm)],[336]) ).
thf(9232,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] :
( ( ( F @ ( skc44 @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv22_7r1r1r1r1r1r1r1 ) ) ) ) ) ) )
!= ( skc43 @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ssPv22_7r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
| ~ $true
| ( C @ ( B @ ( A @ ssPv26_3r1r1r1 ) ) )
| ( A @ ssPv28_1r1 ) ),
inference(paramod_ordered,[status(thm)],[8813,337]) ).
thf(9233,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] :
( ( ( F @ ( skc44 @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv22_7r1r1r1r1r1r1r1 ) ) ) ) ) ) )
!= ( skc43 @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ssPv22_7r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
| ( C @ ( B @ ( A @ ssPv26_3r1r1r1 ) ) )
| ( A @ ssPv28_1r1 ) ),
inference(simp,[status(thm)],[9232]) ).
thf(9234,plain,
! [C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( A @ ssPv26_3r1r1r1 ) ) )
| ( A @ ssPv28_1r1 ) ),
inference(pattern_uni,[status(thm)],[9233:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( C )),bind(D,$thf( D )),bind(E,$thf( E )),bind(F,$thf( skc43 )),bind(G,$thf( A )),bind(H,$thf( B )),bind(I,$thf( C )),bind(J,$thf( D )),bind(K,$thf( E )),bind(L,$thf( skc44 ))]]) ).
thf(58,negated_conjecture,
! [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 @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv6_23r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ 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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause58) ).
thf(189,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] :
( ( skc26 @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv6_23r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ 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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[58]) ).
thf(222,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] :
( ( skc26 @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv6_23r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ 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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[189]) ).
thf(944,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] :
( ( skc26 @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv6_23r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ ( 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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(rewrite,[status(thm)],[222,387,419,363,333,335,307,467,309,405,311,375,791,536,124,317,351]) ).
thf(945,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] :
( ( skc26 @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv6_23r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( 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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[944]) ).
thf(954,plain,
! [ZQ: $i,ZP: $i,ZO: $i,ZN: $i,ZM: $i,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] :
( ( ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
!= ( ZP @ ( ZO @ ( ZN @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ssNder1_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( skc26 @ ( ZQ @ ( ZP @ ( ZO @ ( ZN @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ssPv6_23r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZN @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZO @ ( ZN @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ $true
| ~ ( 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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(paramod_ordered,[status(thm)],[839,945]) ).
thf(955,plain,
! [ZQ: $i,ZP: $i,ZO: $i,ZN: $i,ZM: $i,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] :
( ( ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
!= ( ZP @ ( ZO @ ( ZN @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ssNder1_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( skc26 @ ( ZQ @ ( ZP @ ( ZO @ ( ZN @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ssPv6_23r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZN @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZO @ ( ZN @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( 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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[954]) ).
thf(956,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] :
( ( skc26 @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv6_23r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( 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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( 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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[955:[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( S )),bind(T,$thf( T )),bind(U,$thf( U )),bind(V,$thf( A )),bind(W,$thf( B )),bind(X,$thf( C )),bind(Y,$thf( D )),bind(Z,$thf( E )),bind(ZA,$thf( F )),bind(ZB,$thf( G )),bind(ZC,$thf( H )),bind(ZD,$thf( I )),bind(ZE,$thf( J )),bind(ZF,$thf( K )),bind(ZG,$thf( L )),bind(ZH,$thf( M )),bind(ZI,$thf( N )),bind(ZJ,$thf( O )),bind(ZK,$thf( P )),bind(ZL,$thf( Q )),bind(ZM,$thf( R )),bind(ZN,$thf( S )),bind(ZO,$thf( T )),bind(ZP,$thf( U ))]]) ).
thf(960,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] :
( ( skc26 @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv6_23r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( 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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[956]) ).
thf(74,negated_conjecture,
! [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] :
( ( D @ ( C @ ( B @ ( A @ ssPv25_4r1r1r1r1 ) ) ) )
| ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv17_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 ) ) ) ) ) ) ) ) ) ) )
| ~ ( 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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv5_24r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_23r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv6_23r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause74) ).
thf(125,plain,
! [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] :
( ( D @ ( C @ ( B @ ( A @ ssPv25_4r1r1r1r1 ) ) ) )
| ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv17_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 ) ) ) ) ) ) ) ) ) ) )
| ~ ( 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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv5_24r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_23r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv6_23r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[74]) ).
thf(219,plain,
! [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] :
( ( D @ ( C @ ( B @ ( A @ ssPv25_4r1r1r1r1 ) ) ) )
| ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv17_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 ) ) ) ) ) ) ) ) ) ) )
| ~ ( 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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv5_24r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_23r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv6_23r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[125]) ).
thf(733,plain,
! [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] :
( ( D @ ( C @ ( B @ ( A @ ssPv25_4r1r1r1r1 ) ) ) )
| ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) )
| ~ $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 @ 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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv5_24r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_23r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv6_23r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(rewrite,[status(thm)],[219,387,419,363,333,335,307,467,309,405,311,375,536,124,317,351]) ).
thf(734,plain,
! [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] :
( ( D @ ( C @ ( B @ ( A @ ssPv25_4r1r1r1r1 ) ) ) )
| ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( 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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv5_24r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_23r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv6_23r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[733]) ).
thf(738,plain,
! [ZT: $i,ZS: $i,ZR: $i,ZQ: $i,ZP: $i,ZO: $i,ZN: $i,ZM: $i,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] :
( ( ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
!= ( ZR @ ( ZQ @ ( ZP @ ( ZO @ ( ZN @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ssNder1_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( Z @ ( Y @ ( X @ ( W @ ssPv25_4r1r1r1r1 ) ) ) )
| ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZN @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZO @ ( ZN @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZP @ ( ZO @ ( ZN @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZQ @ ( ZP @ ( ZO @ ( ZN @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ssNder1_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ $true
| ~ ( ZT @ ( ZS @ ( ZR @ ( ZQ @ ( ZP @ ( ZO @ ( ZN @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ssPv5_24r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZS @ ( ZR @ ( ZQ @ ( ZP @ ( ZO @ ( ZN @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ssNder1_23r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZS @ ( ZR @ ( ZQ @ ( ZP @ ( ZO @ ( ZN @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ssPv6_23r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( 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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(paramod_ordered,[status(thm)],[600,734]) ).
thf(739,plain,
! [ZT: $i,ZS: $i,ZR: $i,ZQ: $i,ZP: $i,ZO: $i,ZN: $i,ZM: $i,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] :
( ( ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
!= ( ZR @ ( ZQ @ ( ZP @ ( ZO @ ( ZN @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ssNder1_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( Z @ ( Y @ ( X @ ( W @ ssPv25_4r1r1r1r1 ) ) ) )
| ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZN @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZO @ ( ZN @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZP @ ( ZO @ ( ZN @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZQ @ ( ZP @ ( ZO @ ( ZN @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ssNder1_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZT @ ( ZS @ ( ZR @ ( ZQ @ ( ZP @ ( ZO @ ( ZN @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ssPv5_24r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZS @ ( ZR @ ( ZQ @ ( ZP @ ( ZO @ ( ZN @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ssNder1_23r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZS @ ( ZR @ ( ZQ @ ( ZP @ ( ZO @ ( ZN @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ssPv6_23r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( 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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[738]) ).
thf(740,plain,
! [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] :
( ( D @ ( C @ ( B @ ( A @ ssPv25_4r1r1r1r1 ) ) ) )
| ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( 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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv5_24r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_23r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv6_23r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( 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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[739:[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( S )),bind(T,$thf( T )),bind(U,$thf( U )),bind(V,$thf( V )),bind(W,$thf( A )),bind(X,$thf( B )),bind(Y,$thf( C )),bind(Z,$thf( D )),bind(ZA,$thf( E )),bind(ZB,$thf( F )),bind(ZC,$thf( G )),bind(ZD,$thf( H )),bind(ZE,$thf( I )),bind(ZF,$thf( J )),bind(ZG,$thf( K )),bind(ZH,$thf( L )),bind(ZI,$thf( M )),bind(ZJ,$thf( N )),bind(ZK,$thf( O )),bind(ZL,$thf( P )),bind(ZM,$thf( Q )),bind(ZN,$thf( R )),bind(ZO,$thf( S )),bind(ZP,$thf( T )),bind(ZQ,$thf( U )),bind(ZR,$thf( V ))]]) ).
thf(742,plain,
! [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] :
( ( D @ ( C @ ( B @ ( A @ ssPv25_4r1r1r1r1 ) ) ) )
| ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv5_24r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_23r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv6_23r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( 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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[740]) ).
thf(786,plain,
! [ZS: $i,ZR: $i,ZQ: $i,ZP: $i,ZO: $i,ZN: $i,ZM: $i,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] :
( ( ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
!= ( ZP @ ( ZO @ ( ZN @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ssNder1_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( Y @ ( X @ ( W @ ( V @ ssPv25_4r1r1r1r1 ) ) ) )
| ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) )
| ~ $true
| ~ ( ZS @ ( ZR @ ( ZQ @ ( ZP @ ( ZO @ ( ZN @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ssPv5_24r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZR @ ( ZQ @ ( ZP @ ( ZO @ ( ZN @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ssNder1_23r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZR @ ( ZQ @ ( ZP @ ( ZO @ ( ZN @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ssPv6_23r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZN @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZO @ ( ZN @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( 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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(paramod_ordered,[status(thm)],[580,742]) ).
thf(787,plain,
! [ZS: $i,ZR: $i,ZQ: $i,ZP: $i,ZO: $i,ZN: $i,ZM: $i,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] :
( ( ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
!= ( ZP @ ( ZO @ ( ZN @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ssNder1_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( Y @ ( X @ ( W @ ( V @ ssPv25_4r1r1r1r1 ) ) ) )
| ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZS @ ( ZR @ ( ZQ @ ( ZP @ ( ZO @ ( ZN @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ssPv5_24r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZR @ ( ZQ @ ( ZP @ ( ZO @ ( ZN @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ssNder1_23r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZR @ ( ZQ @ ( ZP @ ( ZO @ ( ZN @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ssPv6_23r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZN @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZO @ ( ZN @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( 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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[786]) ).
thf(788,plain,
! [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] :
( ( D @ ( C @ ( B @ ( A @ ssPv25_4r1r1r1r1 ) ) ) )
| ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv5_24r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_23r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv6_23r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( 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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( 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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[787:[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( S )),bind(T,$thf( T )),bind(U,$thf( U )),bind(V,$thf( A )),bind(W,$thf( B )),bind(X,$thf( C )),bind(Y,$thf( D )),bind(Z,$thf( E )),bind(ZA,$thf( F )),bind(ZB,$thf( G )),bind(ZC,$thf( H )),bind(ZD,$thf( I )),bind(ZE,$thf( J )),bind(ZF,$thf( K )),bind(ZG,$thf( L )),bind(ZH,$thf( M )),bind(ZI,$thf( N )),bind(ZJ,$thf( O )),bind(ZK,$thf( P )),bind(ZL,$thf( Q )),bind(ZM,$thf( R )),bind(ZN,$thf( S )),bind(ZO,$thf( T )),bind(ZP,$thf( U ))]]) ).
thf(789,plain,
! [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] :
( ( D @ ( C @ ( B @ ( A @ ssPv25_4r1r1r1r1 ) ) ) )
| ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv5_24r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_23r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv6_23r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( 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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[788]) ).
thf(1161,plain,
! [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] :
( ( D @ ( C @ ( B @ ( A @ ssPv25_4r1r1r1r1 ) ) ) )
| ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv5_24r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_23r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv6_23r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ $true
| ~ ( 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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(rewrite,[status(thm)],[789,791]) ).
thf(1162,plain,
! [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] :
( ( D @ ( C @ ( B @ ( A @ ssPv25_4r1r1r1r1 ) ) ) )
| ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv5_24r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_23r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv6_23r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( 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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[1161]) ).
thf(1163,plain,
! [ZT: $i,ZS: $i,ZR: $i,ZQ: $i,ZP: $i,ZO: $i,ZN: $i,ZM: $i,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] :
( ( ( skc26 @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv6_23r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
!= ( ZS @ ( ZR @ ( ZQ @ ( ZP @ ( ZO @ ( ZN @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ssPv6_23r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( Z @ ( Y @ ( X @ ( W @ ssPv25_4r1r1r1r1 ) ) ) )
| ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZT @ ( ZS @ ( ZR @ ( ZQ @ ( ZP @ ( ZO @ ( ZN @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ssPv5_24r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZS @ ( ZR @ ( ZQ @ ( ZP @ ( ZO @ ( ZN @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ssNder1_23r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ $true
| ~ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZN @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZO @ ( ZN @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZP @ ( ZO @ ( ZN @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( 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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(paramod_ordered,[status(thm)],[960,1162]) ).
thf(1164,plain,
! [ZT: $i,ZS: $i,ZR: $i,ZQ: $i,ZP: $i,ZO: $i,ZN: $i,ZM: $i,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] :
( ( ( skc26 @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv6_23r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
!= ( ZS @ ( ZR @ ( ZQ @ ( ZP @ ( ZO @ ( ZN @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ssPv6_23r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( Z @ ( Y @ ( X @ ( W @ ssPv25_4r1r1r1r1 ) ) ) )
| ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZT @ ( ZS @ ( ZR @ ( ZQ @ ( ZP @ ( ZO @ ( ZN @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ssPv5_24r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZS @ ( ZR @ ( ZQ @ ( ZP @ ( ZO @ ( ZN @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ssNder1_23r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZN @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZO @ ( ZN @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZP @ ( ZO @ ( ZN @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( 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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[1163]) ).
thf(1165,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] :
( ( D @ ( C @ ( B @ ( A @ ssPv25_4r1r1r1r1 ) ) ) )
| ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( W @ ( skc26 @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv5_24r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( skc26 @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_23r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( 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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( 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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[1164:[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( S )),bind(T,$thf( T )),bind(U,$thf( U )),bind(V,$thf( V )),bind(W,$thf( A )),bind(X,$thf( B )),bind(Y,$thf( C )),bind(Z,$thf( D )),bind(ZA,$thf( E )),bind(ZB,$thf( F )),bind(ZC,$thf( G )),bind(ZD,$thf( H )),bind(ZE,$thf( I )),bind(ZF,$thf( J )),bind(ZG,$thf( K )),bind(ZH,$thf( L )),bind(ZI,$thf( M )),bind(ZJ,$thf( N )),bind(ZK,$thf( O )),bind(ZL,$thf( P )),bind(ZM,$thf( Q )),bind(ZN,$thf( R )),bind(ZO,$thf( S )),bind(ZP,$thf( T )),bind(ZQ,$thf( U )),bind(ZR,$thf( V )),bind(ZS,$thf( skc26 ))]]) ).
thf(1166,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] :
( ( D @ ( C @ ( B @ ( A @ ssPv25_4r1r1r1r1 ) ) ) )
| ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( W @ ( skc26 @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv5_24r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( skc26 @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_23r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( 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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[1165]) ).
thf(1595,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] :
( ( D @ ( C @ ( B @ ( A @ ssPv25_4r1r1r1r1 ) ) ) )
| ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( W @ ( skc26 @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv5_24r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( skc26 @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_23r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ $true
| ~ ( 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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(rewrite,[status(thm)],[1166,1168]) ).
thf(1596,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] :
( ( D @ ( C @ ( B @ ( A @ ssPv25_4r1r1r1r1 ) ) ) )
| ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( W @ ( skc26 @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv5_24r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( skc26 @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_23r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( 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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[1595]) ).
thf(1597,plain,
! [ZT: $i,ZS: $i,ZR: $i,ZQ: $i,ZP: $i,ZO: $i,ZN: $i,ZM: $i,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] :
( ( ( skc24 @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv5_24r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
!= ( ZT @ ( skc26 @ ( ZS @ ( ZR @ ( ZQ @ ( ZP @ ( ZO @ ( ZN @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ssPv5_24r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( ZA @ ( Z @ ( Y @ ( X @ ssPv25_4r1r1r1r1 ) ) ) )
| ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) )
| ~ $true
| ~ ( skc26 @ ( ZS @ ( ZR @ ( ZQ @ ( ZP @ ( ZO @ ( ZN @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ssNder1_23r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZN @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZO @ ( ZN @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZP @ ( ZO @ ( ZN @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZQ @ ( ZP @ ( ZO @ ( ZN @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( 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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(paramod_ordered,[status(thm)],[1516,1596]) ).
thf(1598,plain,
! [ZT: $i,ZS: $i,ZR: $i,ZQ: $i,ZP: $i,ZO: $i,ZN: $i,ZM: $i,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] :
( ( ( skc24 @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv5_24r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
!= ( ZT @ ( skc26 @ ( ZS @ ( ZR @ ( ZQ @ ( ZP @ ( ZO @ ( ZN @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ssPv5_24r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( ZA @ ( Z @ ( Y @ ( X @ ssPv25_4r1r1r1r1 ) ) ) )
| ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( skc26 @ ( ZS @ ( ZR @ ( ZQ @ ( ZP @ ( ZO @ ( ZN @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ssNder1_23r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZN @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZO @ ( ZN @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZP @ ( ZO @ ( ZN @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZQ @ ( ZP @ ( ZO @ ( ZN @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( 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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[1597]) ).
thf(1599,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] :
( ( D @ ( C @ ( B @ ( A @ ssPv25_4r1r1r1r1 ) ) ) )
| ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( skc26 @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_23r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( 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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( 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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[1598:[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( S )),bind(T,$thf( T )),bind(U,$thf( U )),bind(V,$thf( V )),bind(W,$thf( skc26 )),bind(X,$thf( A )),bind(Y,$thf( B )),bind(Z,$thf( C )),bind(ZA,$thf( D )),bind(ZB,$thf( E )),bind(ZC,$thf( F )),bind(ZD,$thf( G )),bind(ZE,$thf( H )),bind(ZF,$thf( I )),bind(ZG,$thf( J )),bind(ZH,$thf( K )),bind(ZI,$thf( L )),bind(ZJ,$thf( M )),bind(ZK,$thf( N )),bind(ZL,$thf( O )),bind(ZM,$thf( P )),bind(ZN,$thf( Q )),bind(ZO,$thf( R )),bind(ZP,$thf( S )),bind(ZQ,$thf( T )),bind(ZR,$thf( U )),bind(ZS,$thf( V )),bind(ZT,$thf( skc24 ))]]) ).
thf(1600,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] :
( ( D @ ( C @ ( B @ ( A @ ssPv25_4r1r1r1r1 ) ) ) )
| ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( skc26 @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_23r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( 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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[1599]) ).
thf(1954,plain,
! [ZS: $i,ZR: $i,ZQ: $i,ZP: $i,ZO: $i,ZN: $i,ZM: $i,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] :
( ( ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_23r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
!= ( skc26 @ ( ZS @ ( ZR @ ( ZQ @ ( ZP @ ( ZO @ ( ZN @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ssNder1_23r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( ZA @ ( Z @ ( Y @ ( X @ ssPv25_4r1r1r1r1 ) ) ) )
| ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) )
| ~ $true
| ~ ( ZN @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZO @ ( ZN @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZP @ ( ZO @ ( ZN @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZQ @ ( ZP @ ( ZO @ ( ZN @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( 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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(paramod_ordered,[status(thm)],[1939,1600]) ).
thf(1955,plain,
! [ZS: $i,ZR: $i,ZQ: $i,ZP: $i,ZO: $i,ZN: $i,ZM: $i,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] :
( ( ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_23r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
!= ( skc26 @ ( ZS @ ( ZR @ ( ZQ @ ( ZP @ ( ZO @ ( ZN @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ssNder1_23r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( ZA @ ( Z @ ( Y @ ( X @ ssPv25_4r1r1r1r1 ) ) ) )
| ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZN @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZO @ ( ZN @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZP @ ( ZO @ ( ZN @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZQ @ ( ZP @ ( ZO @ ( ZN @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( 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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[1954]) ).
thf(1956,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: $i] :
( ( D @ ( C @ ( B @ ( A @ ssPv25_4r1r1r1r1 ) ) ) )
| ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[1955:[bind(A,$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( S )),bind(T,$thf( T )),bind(U,$thf( U )),bind(V,$thf( V )),bind(W,$thf( skc26 )),bind(X,$thf( A )),bind(Y,$thf( B )),bind(Z,$thf( C )),bind(ZA,$thf( D )),bind(ZB,$thf( E )),bind(ZC,$thf( F )),bind(ZD,$thf( G )),bind(ZE,$thf( H )),bind(ZF,$thf( I )),bind(ZG,$thf( J )),bind(ZH,$thf( K )),bind(ZI,$thf( L )),bind(ZJ,$thf( M )),bind(ZK,$thf( N )),bind(ZL,$thf( O )),bind(ZM,$thf( P )),bind(ZN,$thf( Q )),bind(ZO,$thf( R )),bind(ZP,$thf( S )),bind(ZQ,$thf( T )),bind(ZR,$thf( U )),bind(ZS,$thf( V ))]]) ).
thf(1985,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] :
( ( D @ ( C @ ( B @ ( A @ ssPv25_4r1r1r1r1 ) ) ) )
| ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( 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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[1956]) ).
thf(2473,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] :
( ( D @ ( C @ ( B @ ( A @ ssPv25_4r1r1r1r1 ) ) ) )
| ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) )
| ~ $true
| ~ ( 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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(rewrite,[status(thm)],[1985,2444]) ).
thf(2474,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] :
( ( D @ ( C @ ( B @ ( A @ ssPv25_4r1r1r1r1 ) ) ) )
| ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( 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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[2473]) ).
thf(3533,plain,
! [ZM: $i,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 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
!= ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( W @ ( V @ ( U @ ( T @ ssPv25_4r1r1r1r1 ) ) ) )
| ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ $true
| ~ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(paramod_ordered,[status(thm)],[3466,2474]) ).
thf(3534,plain,
! [ZM: $i,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 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
!= ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( W @ ( V @ ( U @ ( T @ ssPv25_4r1r1r1r1 ) ) ) )
| ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[3533]) ).
thf(3535,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: $i] :
( ( D @ ( C @ ( B @ ( A @ ssPv25_4r1r1r1r1 ) ) ) )
| ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[3534:[bind(A,$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( 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,$thf( G )),bind(ZA,$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(3584,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] :
( ( D @ ( C @ ( B @ ( A @ ssPv25_4r1r1r1r1 ) ) ) )
| ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[3535]) ).
thf(4061,plain,
! [ZN: $i,ZM: $i,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] :
( ( ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
!= ( ZN @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( X @ ( W @ ( V @ ( U @ ssPv25_4r1r1r1r1 ) ) ) )
| ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) )
| ~ $true
| ~ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(paramod_ordered,[status(thm)],[3979,3584]) ).
thf(4062,plain,
! [ZN: $i,ZM: $i,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] :
( ( ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
!= ( ZN @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( X @ ( W @ ( V @ ( U @ ssPv25_4r1r1r1r1 ) ) ) )
| ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[4061]) ).
thf(4063,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: $i] :
( ( D @ ( C @ ( B @ ( A @ ssPv25_4r1r1r1r1 ) ) ) )
| ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[4062:[bind(A,$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( S )),bind(T,$thf( T )),bind(U,$thf( A )),bind(V,$thf( B )),bind(W,$thf( C )),bind(X,$thf( D )),bind(Y,$thf( E )),bind(Z,$thf( F )),bind(ZA,$thf( G )),bind(ZB,$thf( H )),bind(ZC,$thf( I )),bind(ZD,$thf( J )),bind(ZE,$thf( K )),bind(ZF,$thf( L )),bind(ZG,$thf( M )),bind(ZH,$thf( N )),bind(ZI,$thf( O )),bind(ZJ,$thf( P )),bind(ZK,$thf( Q )),bind(ZL,$thf( R )),bind(ZM,$thf( S )),bind(ZN,$thf( T ))]]) ).
thf(4099,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 @ ssPv25_4r1r1r1r1 ) ) ) )
| ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[4063]) ).
thf(4442,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] :
( ( D @ ( C @ ( B @ ( A @ ssPv25_4r1r1r1r1 ) ) ) )
| ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(rewrite,[status(thm)],[4099,4339]) ).
thf(4443,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] :
( ( D @ ( C @ ( B @ ( A @ ssPv25_4r1r1r1r1 ) ) ) )
| ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[4442]) ).
thf(4557,plain,
! [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] :
( ( ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) )
!= ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) )
| ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ssPv21_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
| ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ssPv18_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ~ $true
| ( D @ ( C @ ( B @ ( A @ ssPv25_4r1r1r1r1 ) ) ) ) ),
inference(paramod_ordered,[status(thm)],[4443,479]) ).
thf(4558,plain,
! [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] :
( ( ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) )
!= ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) )
| ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ssPv21_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
| ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ssPv18_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ( D @ ( C @ ( B @ ( A @ ssPv25_4r1r1r1r1 ) ) ) ) ),
inference(simp,[status(thm)],[4557]) ).
thf(4559,plain,
! [K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv21_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
| ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv18_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ( D @ ( C @ ( B @ ( A @ ssPv25_4r1r1r1r1 ) ) ) ) ),
inference(pattern_uni,[status(thm)],[4558:[bind(A,$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( A )),bind(N,$thf( B )),bind(O,$thf( C )),bind(P,$thf( D )),bind(Q,$thf( E )),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 ))]]) ).
thf(2573,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] :
( ( skc24 @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv5_24r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ $true
| ~ ( 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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(rewrite,[status(thm)],[1516,2444]) ).
thf(2574,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] :
( ( skc24 @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv5_24r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( 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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[2573]) ).
thf(3500,plain,
! [ZP: $i,ZO: $i,ZN: $i,ZM: $i,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 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
!= ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( skc24 @ ( ZP @ ( ZO @ ( ZN @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ssPv5_24r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ $true
| ~ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(paramod_ordered,[status(thm)],[3466,2574]) ).
thf(3501,plain,
! [ZP: $i,ZO: $i,ZN: $i,ZM: $i,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 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
!= ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( skc24 @ ( ZP @ ( ZO @ ( ZN @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ssPv5_24r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[3500]) ).
thf(3502,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: $i] :
( ( skc24 @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv5_24r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[3501:[bind(A,$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( 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,$thf( G )),bind(ZA,$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(3605,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] :
( ( skc24 @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv5_24r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[3502]) ).
thf(4082,plain,
! [ZQ: $i,ZP: $i,ZO: $i,ZN: $i,ZM: $i,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] :
( ( ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
!= ( ZN @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( skc24 @ ( ZQ @ ( ZP @ ( ZO @ ( ZN @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ssPv5_24r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ $true
| ~ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(paramod_ordered,[status(thm)],[3979,3605]) ).
thf(4083,plain,
! [ZQ: $i,ZP: $i,ZO: $i,ZN: $i,ZM: $i,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] :
( ( ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
!= ( ZN @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( skc24 @ ( ZQ @ ( ZP @ ( ZO @ ( ZN @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ssPv5_24r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[4082]) ).
thf(4084,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: $i] :
( ( skc24 @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv5_24r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[4083:[bind(A,$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( S )),bind(T,$thf( T )),bind(U,$thf( A )),bind(V,$thf( B )),bind(W,$thf( C )),bind(X,$thf( D )),bind(Y,$thf( E )),bind(Z,$thf( F )),bind(ZA,$thf( G )),bind(ZB,$thf( H )),bind(ZC,$thf( I )),bind(ZD,$thf( J )),bind(ZE,$thf( K )),bind(ZF,$thf( L )),bind(ZG,$thf( M )),bind(ZH,$thf( N )),bind(ZI,$thf( O )),bind(ZJ,$thf( P )),bind(ZK,$thf( Q )),bind(ZL,$thf( R )),bind(ZM,$thf( S )),bind(ZN,$thf( T ))]]) ).
thf(4113,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] :
( ( skc24 @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv5_24r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[4084]) ).
thf(4774,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] :
( ( skc24 @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv5_24r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(rewrite,[status(thm)],[4113,4339]) ).
thf(4775,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] : ( skc24 @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv5_24r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[4774]) ).
thf(72,negated_conjecture,
! [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] :
( ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv21_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
| ~ ssNder1_0
| ~ ( A @ ssNder1_1r1 )
| ~ ( B @ ( A @ ssNder1_2r1r1 ) )
| ~ ( C @ ( B @ ( A @ ssNder1_3r1r1r1 ) ) )
| ~ ( C @ ( B @ ( A @ ssPv26_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 @ ssPv18_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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv5_24r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_23r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause72) ).
thf(179,plain,
! [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] :
( ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv21_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
| ~ ssNder1_0
| ~ ( A @ ssNder1_1r1 )
| ~ ( B @ ( A @ ssNder1_2r1r1 ) )
| ~ ( C @ ( B @ ( A @ ssNder1_3r1r1r1 ) ) )
| ~ ( C @ ( B @ ( A @ ssPv26_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 @ ssPv18_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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv5_24r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_23r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[72]) ).
thf(225,plain,
! [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] :
( ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv21_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
| ~ ssNder1_0
| ~ ( A @ ssNder1_1r1 )
| ~ ( B @ ( A @ ssNder1_2r1r1 ) )
| ~ ( C @ ( B @ ( A @ ssNder1_3r1r1r1 ) ) )
| ~ ( C @ ( B @ ( A @ ssPv26_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 @ ssPv18_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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv5_24r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_23r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[179]) ).
thf(1115,plain,
! [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] :
( ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv21_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ ( C @ ( B @ ( A @ ssPv26_3r1r1r1 ) ) )
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv18_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ ( 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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv5_24r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_23r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(rewrite,[status(thm)],[225,387,419,363,333,335,307,467,309,405,311,375,791,536,124,317,351]) ).
thf(1116,plain,
! [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] :
( ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv21_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
| ~ ( C @ ( B @ ( A @ ssPv26_3r1r1r1 ) ) )
| ~ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv18_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ~ ( 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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv5_24r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_23r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[1115]) ).
thf(1117,plain,
! [ZS: $i,ZR: $i,ZQ: $i,ZP: $i,ZO: $i,ZN: $i,ZM: $i,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] :
( ( ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
!= ( ZP @ ( ZO @ ( ZN @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ssNder1_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ssPv21_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
| ~ ( X @ ( W @ ( V @ ssPv26_3r1r1r1 ) ) )
| ~ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ssPv18_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZN @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZO @ ( ZN @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ $true
| ~ ( ZQ @ ( ZP @ ( ZO @ ( ZN @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ssNder1_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZS @ ( ZR @ ( ZQ @ ( ZP @ ( ZO @ ( ZN @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ssPv5_24r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZR @ ( ZQ @ ( ZP @ ( ZO @ ( ZN @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ssNder1_23r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( 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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(paramod_ordered,[status(thm)],[839,1116]) ).
thf(1118,plain,
! [ZS: $i,ZR: $i,ZQ: $i,ZP: $i,ZO: $i,ZN: $i,ZM: $i,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] :
( ( ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
!= ( ZP @ ( ZO @ ( ZN @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ssNder1_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ssPv21_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
| ~ ( X @ ( W @ ( V @ ssPv26_3r1r1r1 ) ) )
| ~ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ssPv18_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZN @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZO @ ( ZN @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZQ @ ( ZP @ ( ZO @ ( ZN @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ssNder1_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZS @ ( ZR @ ( ZQ @ ( ZP @ ( ZO @ ( ZN @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ssPv5_24r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZR @ ( ZQ @ ( ZP @ ( ZO @ ( ZN @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ssNder1_23r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( 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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[1117]) ).
thf(1119,plain,
! [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] :
( ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv21_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
| ~ ( C @ ( B @ ( A @ ssPv26_3r1r1r1 ) ) )
| ~ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv18_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ~ ( 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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv5_24r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_23r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( 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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[1118:[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( S )),bind(T,$thf( T )),bind(U,$thf( U )),bind(V,$thf( A )),bind(W,$thf( B )),bind(X,$thf( C )),bind(Y,$thf( D )),bind(Z,$thf( E )),bind(ZA,$thf( F )),bind(ZB,$thf( G )),bind(ZC,$thf( H )),bind(ZD,$thf( I )),bind(ZE,$thf( J )),bind(ZF,$thf( K )),bind(ZG,$thf( L )),bind(ZH,$thf( M )),bind(ZI,$thf( N )),bind(ZJ,$thf( O )),bind(ZK,$thf( P )),bind(ZL,$thf( Q )),bind(ZM,$thf( R )),bind(ZN,$thf( S )),bind(ZO,$thf( T )),bind(ZP,$thf( U ))]]) ).
thf(1124,plain,
! [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] :
( ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv21_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
| ~ ( C @ ( B @ ( A @ ssPv26_3r1r1r1 ) ) )
| ~ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv18_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ~ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv5_24r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_23r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( 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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[1119]) ).
thf(6011,plain,
! [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] :
( ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv21_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
| ~ ( C @ ( B @ ( A @ ssPv26_3r1r1r1 ) ) )
| ~ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv18_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ~ $true
| ~ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv5_24r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true ),
inference(rewrite,[status(thm)],[1124,1168,4401,4339,4501,4361,4347,2444]) ).
thf(6012,plain,
! [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] :
( ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv21_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
| ~ ( C @ ( B @ ( A @ ssPv26_3r1r1r1 ) ) )
| ~ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv18_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ~ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv5_24r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[6011]) ).
thf(6013,plain,
! [ZU: $i,ZT: $i,ZS: $i,ZR: $i,ZQ: $i,ZP: $i,ZO: $i,ZN: $i,ZM: $i,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] :
( ( ( skc24 @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv5_24r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
!= ( ZU @ ( ZT @ ( ZS @ ( ZR @ ( ZQ @ ( ZP @ ( ZO @ ( ZN @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ssPv5_24r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ssPv21_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
| ~ ( Z @ ( Y @ ( X @ ssPv26_3r1r1r1 ) ) )
| ~ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ssPv18_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[4775,6012]) ).
thf(6014,plain,
! [ZU: $i,ZT: $i,ZS: $i,ZR: $i,ZQ: $i,ZP: $i,ZO: $i,ZN: $i,ZM: $i,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] :
( ( ( skc24 @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv5_24r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
!= ( ZU @ ( ZT @ ( ZS @ ( ZR @ ( ZQ @ ( ZP @ ( ZO @ ( ZN @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ssPv5_24r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ssPv21_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
| ~ ( Z @ ( Y @ ( X @ ssPv26_3r1r1r1 ) ) )
| ~ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ssPv18_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[6013]) ).
thf(6015,plain,
! [K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv21_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
| ~ ( C @ ( B @ ( A @ ssPv26_3r1r1r1 ) ) )
| ~ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv18_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[6014:[bind(A,$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( S )),bind(T,$thf( T )),bind(U,$thf( U )),bind(V,$thf( V )),bind(W,$thf( W )),bind(X,$thf( A )),bind(Y,$thf( B )),bind(Z,$thf( C )),bind(ZA,$thf( D )),bind(ZB,$thf( E )),bind(ZC,$thf( F )),bind(ZD,$thf( G )),bind(ZE,$thf( H )),bind(ZF,$thf( I )),bind(ZG,$thf( J )),bind(ZH,$thf( K )),bind(ZI,$thf( L )),bind(ZJ,$thf( M )),bind(ZK,$thf( N )),bind(ZL,$thf( O )),bind(ZM,$thf( P )),bind(ZN,$thf( Q )),bind(ZO,$thf( R )),bind(ZP,$thf( S )),bind(ZQ,$thf( T )),bind(ZR,$thf( U )),bind(ZS,$thf( V )),bind(ZT,$thf( W )),bind(ZU,$thf( skc24 ))]]) ).
thf(6031,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] :
( ( ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv18_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
!= ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ssPv18_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) )
| ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ssPv21_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
| ~ ( N @ ( M @ ( L @ ssPv26_3r1r1r1 ) ) )
| ~ $true
| ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv21_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
| ( D @ ( C @ ( B @ ( A @ ssPv25_4r1r1r1r1 ) ) ) ) ),
inference(paramod_ordered,[status(thm)],[4559,6015]) ).
thf(6032,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] :
( ( ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv18_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
!= ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ssPv18_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) )
| ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ssPv21_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
| ~ ( N @ ( M @ ( L @ ssPv26_3r1r1r1 ) ) )
| ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv21_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
| ( D @ ( C @ ( B @ ( A @ ssPv25_4r1r1r1r1 ) ) ) ) ),
inference(simp,[status(thm)],[6031]) ).
thf(6033,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv21_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
| ~ ( C @ ( B @ ( A @ ssPv26_3r1r1r1 ) ) )
| ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv21_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
| ( D @ ( C @ ( B @ ( A @ ssPv25_4r1r1r1r1 ) ) ) ) ),
inference(pattern_uni,[status(thm)],[6032:[bind(A,$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,$thf( A )),bind(M,$thf( B )),bind(N,$thf( C )),bind(O,$thf( D )),bind(P,$thf( E )),bind(Q,$thf( F )),bind(R,$thf( G )),bind(S,$thf( H )),bind(T,$thf( I )),bind(U,$thf( J )),bind(V,$thf( K ))]]) ).
thf(6037,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( C @ ( B @ ( A @ ssPv26_3r1r1r1 ) ) )
| ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv21_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
| ( D @ ( C @ ( B @ ( A @ ssPv25_4r1r1r1r1 ) ) ) ) ),
inference(simp,[status(thm)],[6033]) ).
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 ) ) ) ) ) )
| ~ ( skc41 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv21_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause16) ).
thf(176,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 ) ) ) ) ) )
| ~ ( skc41 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv21_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
thf(254,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 ) ) ) ) ) )
| ~ ( skc41 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv21_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[176]) ).
thf(338,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ ( skc41 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv21_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ),
inference(rewrite,[status(thm)],[254,307,309,311,124,317,333,335]) ).
thf(339,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
~ ( skc41 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv21_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[338]) ).
thf(6104,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] :
( ( ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv21_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
!= ( skc41 @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ssPv21_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) )
| ~ $true
| ~ ( C @ ( B @ ( A @ ssPv26_3r1r1r1 ) ) )
| ( D @ ( C @ ( B @ ( A @ ssPv25_4r1r1r1r1 ) ) ) ) ),
inference(paramod_ordered,[status(thm)],[6037,339]) ).
thf(6105,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] :
( ( ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv21_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
!= ( skc41 @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ssPv21_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) )
| ~ ( C @ ( B @ ( A @ ssPv26_3r1r1r1 ) ) )
| ( D @ ( C @ ( B @ ( A @ ssPv25_4r1r1r1r1 ) ) ) ) ),
inference(simp,[status(thm)],[6104]) ).
thf(6106,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( C @ ( B @ ( A @ ssPv26_3r1r1r1 ) ) )
| ( D @ ( C @ ( B @ ( A @ ssPv25_4r1r1r1r1 ) ) ) ) ),
inference(pattern_uni,[status(thm)],[6105:[bind(A,$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,$thf( skc41 )),bind(I,$thf( A )),bind(J,$thf( B )),bind(K,$thf( C )),bind(L,$thf( D )),bind(M,$thf( E )),bind(N,$thf( F )),bind(O,$thf( G ))]]) ).
thf(6,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ( skc46 @ ( D @ ( C @ ( B @ ( A @ ssPv24_5r1r1r1r1r1 ) ) ) ) )
| ~ ssNder1_0
| ~ ( A @ ssNder1_1r1 )
| ~ ( B @ ( A @ ssNder1_2r1r1 ) )
| ~ ( C @ ( B @ ( A @ ssNder1_3r1r1r1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause6) ).
thf(126,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( skc46 @ ( D @ ( C @ ( B @ ( A @ ssPv24_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(298,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( skc46 @ ( D @ ( C @ ( B @ ( A @ ssPv24_5r1r1r1r1r1 ) ) ) ) )
| ~ ssNder1_0
| ~ ( A @ ssNder1_1r1 )
| ~ ( B @ ( A @ ssNder1_2r1r1 ) )
| ~ ( C @ ( B @ ( A @ ssNder1_3r1r1r1 ) ) ) ),
inference(cnf,[status(esa)],[126]) ).
thf(320,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( skc46 @ ( D @ ( C @ ( B @ ( A @ ssPv24_5r1r1r1r1r1 ) ) ) ) )
| ~ $true
| ~ $true
| ~ $true
| ~ $true ),
inference(rewrite,[status(thm)],[298,307,309,311,124]) ).
thf(321,plain,
! [D: $i,C: $i,B: $i,A: $i] : ( skc46 @ ( D @ ( C @ ( B @ ( A @ ssPv24_5r1r1r1r1r1 ) ) ) ) ),
inference(simp,[status(thm)],[320]) ).
thf(15,negated_conjecture,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( skc40 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv21_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(199,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( skc40 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv21_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(277,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( skc40 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv21_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)],[199]) ).
thf(356,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( skc40 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv21_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true ),
inference(rewrite,[status(thm)],[277,307,309,311,124,317,333,335]) ).
thf(357,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] : ( skc40 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv21_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[356]) ).
thf(48,negated_conjecture,
! [S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ssNder1_0
| ~ ( A @ ssNder1_1r1 )
| ~ ( B @ ( A @ ssNder1_2r1r1 ) )
| ~ ( C @ ( B @ ( A @ ssNder1_3r1r1r1 ) ) )
| ~ ( D @ ( C @ ( B @ ( A @ ssNder1_4r1r1r1r1 ) ) ) )
| ~ ( D @ ( C @ ( B @ ( A @ ssPv25_4r1r1r1r1 ) ) ) )
| ~ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_5r1r1r1r1r1 ) ) ) ) )
| ~ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv24_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 @ ssPv21_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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv10_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',clause48) ).
thf(170,plain,
! [S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ssNder1_0
| ~ ( A @ ssNder1_1r1 )
| ~ ( B @ ( A @ ssNder1_2r1r1 ) )
| ~ ( C @ ( B @ ( A @ ssNder1_3r1r1r1 ) ) )
| ~ ( D @ ( C @ ( B @ ( A @ ssNder1_4r1r1r1r1 ) ) ) )
| ~ ( D @ ( C @ ( B @ ( A @ ssPv25_4r1r1r1r1 ) ) ) )
| ~ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_5r1r1r1r1r1 ) ) ) ) )
| ~ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv24_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 @ ssPv21_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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv10_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)],[48]) ).
thf(209,plain,
! [S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ssNder1_0
| ~ ( A @ ssNder1_1r1 )
| ~ ( B @ ( A @ ssNder1_2r1r1 ) )
| ~ ( C @ ( B @ ( A @ ssNder1_3r1r1r1 ) ) )
| ~ ( D @ ( C @ ( B @ ( A @ ssNder1_4r1r1r1r1 ) ) ) )
| ~ ( D @ ( C @ ( B @ ( A @ ssPv25_4r1r1r1r1 ) ) ) )
| ~ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_5r1r1r1r1r1 ) ) ) ) )
| ~ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv24_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 @ ssPv21_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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv10_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)],[170]) ).
thf(428,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] :
( ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ ( D @ ( C @ ( B @ ( A @ ssPv25_4r1r1r1r1 ) ) ) )
| ~ $true
| ~ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv24_5r1r1r1r1r1 ) ) ) ) )
| ~ $true
| ~ $true
| ~ $true
| ~ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv21_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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv10_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)],[209,387,419,363,333,335,307,309,405,311,375,124,317,351]) ).
thf(429,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 @ ssPv25_4r1r1r1r1 ) ) ) )
| ~ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv24_5r1r1r1r1r1 ) ) ) ) )
| ~ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv21_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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv10_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)],[428]) ).
thf(430,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] :
( ( ( skc40 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv21_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
!= ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ssPv21_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) )
| ~ ( K @ ( J @ ( I @ ( H @ ssPv25_4r1r1r1r1 ) ) ) )
| ~ ( L @ ( K @ ( J @ ( I @ ( H @ ssPv24_5r1r1r1r1r1 ) ) ) ) )
| ~ $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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ssPv10_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(paramod_ordered,[status(thm)],[357,429]) ).
thf(431,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] :
( ( ( skc40 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv21_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
!= ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ssPv21_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) )
| ~ ( K @ ( J @ ( I @ ( H @ ssPv25_4r1r1r1r1 ) ) ) )
| ~ ( L @ ( K @ ( J @ ( I @ ( H @ ssPv24_5r1r1r1r1r1 ) ) ) ) )
| ~ ( 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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ssPv10_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[430]) ).
thf(432,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: $i] :
( ~ ( D @ ( C @ ( B @ ( A @ ssPv25_4r1r1r1r1 ) ) ) )
| ~ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv24_5r1r1r1r1r1 ) ) ) ) )
| ~ ( L @ ( K @ ( J @ ( I @ ( H @ ( skc40 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( skc40 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( skc40 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( skc40 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( skc40 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( skc40 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv10_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( skc40 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[431:[bind(A,$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( skc40 ))]]) ).
thf(436,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 @ ssPv25_4r1r1r1r1 ) ) ) )
| ~ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv24_5r1r1r1r1r1 ) ) ) ) )
| ~ ( L @ ( K @ ( J @ ( I @ ( H @ ( skc40 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( skc40 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( skc40 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( skc40 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( skc40 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( skc40 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv10_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( skc40 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[432]) ).
thf(438,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] :
( ( ( skc46 @ ( D @ ( C @ ( B @ ( A @ ssPv24_5r1r1r1r1r1 ) ) ) ) )
!= ( I @ ( H @ ( G @ ( F @ ( E @ ssPv24_5r1r1r1r1r1 ) ) ) ) ) )
| ~ ( H @ ( G @ ( F @ ( E @ ssPv25_4r1r1r1r1 ) ) ) )
| ~ $true
| ~ ( P @ ( O @ ( N @ ( M @ ( L @ ( skc40 @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( skc40 @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( skc40 @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( skc40 @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( skc40 @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( skc40 @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ssPv10_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( skc40 @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(paramod_ordered,[status(thm)],[321,436]) ).
thf(439,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] :
( ( ( skc46 @ ( D @ ( C @ ( B @ ( A @ ssPv24_5r1r1r1r1r1 ) ) ) ) )
!= ( I @ ( H @ ( G @ ( F @ ( E @ ssPv24_5r1r1r1r1r1 ) ) ) ) ) )
| ~ ( H @ ( G @ ( F @ ( E @ ssPv25_4r1r1r1r1 ) ) ) )
| ~ ( P @ ( O @ ( N @ ( M @ ( L @ ( skc40 @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( skc40 @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( skc40 @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( skc40 @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( skc40 @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( skc40 @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ssPv10_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( skc40 @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[438]) ).
thf(440,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: $i] :
( ~ ( D @ ( C @ ( B @ ( A @ ssPv25_4r1r1r1r1 ) ) ) )
| ~ ( K @ ( J @ ( I @ ( H @ ( G @ ( skc40 @ ( F @ ( E @ ( skc46 @ ( D @ ( C @ ( B @ ( A @ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( skc40 @ ( F @ ( E @ ( skc46 @ ( D @ ( C @ ( B @ ( A @ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( skc40 @ ( F @ ( E @ ( skc46 @ ( D @ ( C @ ( B @ ( A @ ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( skc40 @ ( F @ ( E @ ( skc46 @ ( D @ ( C @ ( B @ ( A @ ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( skc40 @ ( F @ ( E @ ( skc46 @ ( D @ ( C @ ( B @ ( A @ ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( skc40 @ ( F @ ( E @ ( skc46 @ ( D @ ( C @ ( B @ ( A @ ssPv10_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( skc40 @ ( F @ ( E @ ( skc46 @ ( D @ ( C @ ( B @ ( A @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[439:[bind(A,$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( skc46 ))]]) ).
thf(441,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 @ ssPv25_4r1r1r1r1 ) ) ) )
| ~ ( K @ ( J @ ( I @ ( H @ ( G @ ( skc40 @ ( F @ ( E @ ( skc46 @ ( D @ ( C @ ( B @ ( A @ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( skc40 @ ( F @ ( E @ ( skc46 @ ( D @ ( C @ ( B @ ( A @ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( skc40 @ ( F @ ( E @ ( skc46 @ ( D @ ( C @ ( B @ ( A @ ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( skc40 @ ( F @ ( E @ ( skc46 @ ( D @ ( C @ ( B @ ( A @ ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( skc40 @ ( F @ ( E @ ( skc46 @ ( D @ ( C @ ( B @ ( A @ ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( skc40 @ ( F @ ( E @ ( skc46 @ ( D @ ( C @ ( B @ ( A @ ssPv10_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( skc40 @ ( F @ ( E @ ( skc46 @ ( D @ ( C @ ( B @ ( A @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[440]) ).
thf(484,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 @ ssPv25_4r1r1r1r1 ) ) ) )
| ~ $true
| ~ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( skc40 @ ( F @ ( E @ ( skc46 @ ( D @ ( C @ ( B @ ( A @ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( skc40 @ ( F @ ( E @ ( skc46 @ ( D @ ( C @ ( B @ ( A @ ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( skc40 @ ( F @ ( E @ ( skc46 @ ( D @ ( C @ ( B @ ( A @ ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( skc40 @ ( F @ ( E @ ( skc46 @ ( D @ ( C @ ( B @ ( A @ ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( skc40 @ ( F @ ( E @ ( skc46 @ ( D @ ( C @ ( B @ ( A @ ssPv10_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( skc40 @ ( F @ ( E @ ( skc46 @ ( D @ ( C @ ( B @ ( A @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(rewrite,[status(thm)],[441,467]) ).
thf(485,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 @ ssPv25_4r1r1r1r1 ) ) ) )
| ~ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( skc40 @ ( F @ ( E @ ( skc46 @ ( D @ ( C @ ( B @ ( A @ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( skc40 @ ( F @ ( E @ ( skc46 @ ( D @ ( C @ ( B @ ( A @ ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( skc40 @ ( F @ ( E @ ( skc46 @ ( D @ ( C @ ( B @ ( A @ ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( skc40 @ ( F @ ( E @ ( skc46 @ ( D @ ( C @ ( B @ ( A @ ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( skc40 @ ( F @ ( E @ ( skc46 @ ( D @ ( C @ ( B @ ( A @ ssPv10_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( skc40 @ ( F @ ( E @ ( skc46 @ ( D @ ( C @ ( B @ ( A @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[484]) ).
thf(539,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 @ ssPv25_4r1r1r1r1 ) ) ) )
| ~ $true
| ~ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( skc40 @ ( F @ ( E @ ( skc46 @ ( D @ ( C @ ( B @ ( A @ ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( skc40 @ ( F @ ( E @ ( skc46 @ ( D @ ( C @ ( B @ ( A @ ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( skc40 @ ( F @ ( E @ ( skc46 @ ( D @ ( C @ ( B @ ( A @ ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( skc40 @ ( F @ ( E @ ( skc46 @ ( D @ ( C @ ( B @ ( A @ ssPv10_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( skc40 @ ( F @ ( E @ ( skc46 @ ( D @ ( C @ ( B @ ( A @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(rewrite,[status(thm)],[485,536]) ).
thf(540,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 @ ssPv25_4r1r1r1r1 ) ) ) )
| ~ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( skc40 @ ( F @ ( E @ ( skc46 @ ( D @ ( C @ ( B @ ( A @ ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( skc40 @ ( F @ ( E @ ( skc46 @ ( D @ ( C @ ( B @ ( A @ ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( skc40 @ ( F @ ( E @ ( skc46 @ ( D @ ( C @ ( B @ ( A @ ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( skc40 @ ( F @ ( E @ ( skc46 @ ( D @ ( C @ ( B @ ( A @ ssPv10_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( skc40 @ ( F @ ( E @ ( skc46 @ ( D @ ( C @ ( B @ ( A @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[539]) ).
thf(828,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 @ ssPv25_4r1r1r1r1 ) ) ) )
| ~ $true
| ~ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( skc40 @ ( F @ ( E @ ( skc46 @ ( D @ ( C @ ( B @ ( A @ ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( skc40 @ ( F @ ( E @ ( skc46 @ ( D @ ( C @ ( B @ ( A @ ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( skc40 @ ( F @ ( E @ ( skc46 @ ( D @ ( C @ ( B @ ( A @ ssPv10_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( skc40 @ ( F @ ( E @ ( skc46 @ ( D @ ( C @ ( B @ ( A @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(rewrite,[status(thm)],[540,791]) ).
thf(829,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 @ ssPv25_4r1r1r1r1 ) ) ) )
| ~ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( skc40 @ ( F @ ( E @ ( skc46 @ ( D @ ( C @ ( B @ ( A @ ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( skc40 @ ( F @ ( E @ ( skc46 @ ( D @ ( C @ ( B @ ( A @ ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( skc40 @ ( F @ ( E @ ( skc46 @ ( D @ ( C @ ( B @ ( A @ ssPv10_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( skc40 @ ( F @ ( E @ ( skc46 @ ( D @ ( C @ ( B @ ( A @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[828]) ).
thf(1173,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 @ ssPv25_4r1r1r1r1 ) ) ) )
| ~ $true
| ~ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( skc40 @ ( F @ ( E @ ( skc46 @ ( D @ ( C @ ( B @ ( A @ ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( skc40 @ ( F @ ( E @ ( skc46 @ ( D @ ( C @ ( B @ ( A @ ssPv10_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( skc40 @ ( F @ ( E @ ( skc46 @ ( D @ ( C @ ( B @ ( A @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(rewrite,[status(thm)],[829,1168]) ).
thf(1174,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 @ ssPv25_4r1r1r1r1 ) ) ) )
| ~ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( skc40 @ ( F @ ( E @ ( skc46 @ ( D @ ( C @ ( B @ ( A @ ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( skc40 @ ( F @ ( E @ ( skc46 @ ( D @ ( C @ ( B @ ( A @ ssPv10_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( skc40 @ ( F @ ( E @ ( skc46 @ ( D @ ( C @ ( B @ ( A @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[1173]) ).
thf(2122,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 @ ( N @ ( M @ ( L @ ( skc38 @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( skc44 @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv10_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
!= ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( skc40 @ ( W @ ( V @ ( skc46 @ ( U @ ( T @ ( S @ ( R @ ssPv10_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( U @ ( T @ ( S @ ( R @ ssPv25_4r1r1r1r1 ) ) ) )
| ~ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( skc40 @ ( W @ ( V @ ( skc46 @ ( U @ ( T @ ( S @ ( R @ ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ $true
| ~ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( skc40 @ ( W @ ( V @ ( skc46 @ ( U @ ( T @ ( S @ ( R @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( J @ ( I @ ( H @ ( G @ ( F @ ( skc44 @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv18_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ~ ( O @ ( N @ ( M @ ( L @ ( skc38 @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( skc44 @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( P @ ( O @ ( N @ ( M @ ( L @ ( skc38 @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( skc44 @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(paramod_ordered,[status(thm)],[2113,1174]) ).
thf(2123,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 @ ( N @ ( M @ ( L @ ( skc38 @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( skc44 @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv10_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
!= ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( skc40 @ ( W @ ( V @ ( skc46 @ ( U @ ( T @ ( S @ ( R @ ssPv10_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( U @ ( T @ ( S @ ( R @ ssPv25_4r1r1r1r1 ) ) ) )
| ~ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( skc40 @ ( W @ ( V @ ( skc46 @ ( U @ ( T @ ( S @ ( R @ ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( skc40 @ ( W @ ( V @ ( skc46 @ ( U @ ( T @ ( S @ ( R @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( J @ ( I @ ( H @ ( G @ ( F @ ( skc44 @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv18_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ~ ( O @ ( N @ ( M @ ( L @ ( skc38 @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( skc44 @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( P @ ( O @ ( N @ ( M @ ( L @ ( skc38 @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( skc44 @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[2122]) ).
thf(2124,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: $i] :
( ~ ( D @ ( C @ ( B @ ( A @ ssPv25_4r1r1r1r1 ) ) ) )
| ~ ( M @ ( L @ ( K @ ( J @ ( skc38 @ ( I @ ( H @ ( G @ ( F @ ( skc40 @ ( E @ ( skc44 @ ( skc46 @ ( D @ ( C @ ( B @ ( A @ ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( N @ ( M @ ( L @ ( K @ ( J @ ( skc38 @ ( I @ ( H @ ( G @ ( F @ ( skc40 @ ( E @ ( skc44 @ ( skc46 @ ( D @ ( C @ ( B @ ( A @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( H @ ( G @ ( F @ ( skc40 @ ( E @ ( skc44 @ ( skc46 @ ( D @ ( C @ ( B @ ( A @ ssPv18_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ~ ( M @ ( L @ ( K @ ( J @ ( skc38 @ ( I @ ( H @ ( G @ ( F @ ( skc40 @ ( E @ ( skc44 @ ( skc46 @ ( D @ ( C @ ( B @ ( A @ ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( N @ ( M @ ( L @ ( K @ ( J @ ( skc38 @ ( I @ ( H @ ( G @ ( F @ ( skc40 @ ( E @ ( skc44 @ ( skc46 @ ( D @ ( C @ ( B @ ( A @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[2123:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( C )),bind(D,$thf( D )),bind(E,$thf( skc46 )),bind(F,$thf( F )),bind(G,$thf( skc40 )),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,$thf( skc44 )),bind(W,$thf( F )),bind(X,$thf( H )),bind(Y,$thf( I )),bind(Z,$thf( J )),bind(ZA,$thf( K )),bind(ZB,$thf( skc38 )),bind(ZC,$thf( L )),bind(ZD,$thf( M )),bind(ZE,$thf( N )),bind(ZF,$thf( O )),bind(ZG,$thf( P )),bind(ZH,$thf( Q ))]]) ).
thf(2148,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] :
( ~ ( D @ ( C @ ( B @ ( A @ ssPv25_4r1r1r1r1 ) ) ) )
| ~ ( H @ ( G @ ( F @ ( skc40 @ ( E @ ( skc44 @ ( skc46 @ ( D @ ( C @ ( B @ ( A @ ssPv18_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ~ ( M @ ( L @ ( K @ ( J @ ( skc38 @ ( I @ ( H @ ( G @ ( F @ ( skc40 @ ( E @ ( skc44 @ ( skc46 @ ( D @ ( C @ ( B @ ( A @ ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( N @ ( M @ ( L @ ( K @ ( J @ ( skc38 @ ( I @ ( H @ ( G @ ( F @ ( skc40 @ ( E @ ( skc44 @ ( skc46 @ ( D @ ( C @ ( B @ ( A @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[2124]) ).
thf(2545,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] :
( ~ ( D @ ( C @ ( B @ ( A @ ssPv25_4r1r1r1r1 ) ) ) )
| ~ ( H @ ( G @ ( F @ ( skc40 @ ( E @ ( skc44 @ ( skc46 @ ( D @ ( C @ ( B @ ( A @ ssPv18_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ~ $true
| ~ ( N @ ( M @ ( L @ ( K @ ( J @ ( skc38 @ ( I @ ( H @ ( G @ ( F @ ( skc40 @ ( E @ ( skc44 @ ( skc46 @ ( D @ ( C @ ( B @ ( A @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(rewrite,[status(thm)],[2148,2444]) ).
thf(2546,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] :
( ~ ( D @ ( C @ ( B @ ( A @ ssPv25_4r1r1r1r1 ) ) ) )
| ~ ( H @ ( G @ ( F @ ( skc40 @ ( E @ ( skc44 @ ( skc46 @ ( D @ ( C @ ( B @ ( A @ ssPv18_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ~ ( N @ ( M @ ( L @ ( K @ ( J @ ( skc38 @ ( I @ ( H @ ( G @ ( F @ ( skc40 @ ( E @ ( skc44 @ ( skc46 @ ( D @ ( C @ ( B @ ( A @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[2545]) ).
thf(4420,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( C @ ( B @ ( A @ ssPv25_4r1r1r1r1 ) ) ) )
| ~ ( H @ ( G @ ( F @ ( skc40 @ ( E @ ( skc44 @ ( skc46 @ ( D @ ( C @ ( B @ ( A @ ssPv18_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(rewrite,[status(thm)],[2546,4339]) ).
thf(4421,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( C @ ( B @ ( A @ ssPv25_4r1r1r1r1 ) ) ) )
| ~ ( H @ ( G @ ( F @ ( skc40 @ ( E @ ( skc44 @ ( skc46 @ ( D @ ( C @ ( B @ ( A @ ssPv18_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[4420]) ).
thf(4589,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 @ ssPv18_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
!= ( S @ ( R @ ( Q @ ( skc40 @ ( P @ ( skc44 @ ( skc46 @ ( O @ ( N @ ( M @ ( L @ ssPv18_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( O @ ( N @ ( M @ ( L @ ssPv25_4r1r1r1r1 ) ) ) )
| ~ $true
| ( A @ ssPv28_1r1 )
| ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv22_7r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ),
inference(paramod_ordered,[status(thm)],[4395,4421]) ).
thf(4590,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 @ ssPv18_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
!= ( S @ ( R @ ( Q @ ( skc40 @ ( P @ ( skc44 @ ( skc46 @ ( O @ ( N @ ( M @ ( L @ ssPv18_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( O @ ( N @ ( M @ ( L @ ssPv25_4r1r1r1r1 ) ) ) )
| ( A @ ssPv28_1r1 )
| ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv22_7r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[4589]) ).
thf(4591,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( C @ ( B @ ( A @ ssPv25_4r1r1r1r1 ) ) ) )
| ( A @ ssPv28_1r1 )
| ( E @ ( skc44 @ ( skc46 @ ( D @ ( C @ ( B @ ( A @ ssPv22_7r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[4590:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( C )),bind(D,$thf( D )),bind(E,$thf( skc46 )),bind(F,$thf( skc44 )),bind(G,$thf( G )),bind(H,$thf( skc40 )),bind(I,$thf( I )),bind(J,$thf( J )),bind(K,$thf( K )),bind(L,$thf( A )),bind(M,$thf( B )),bind(N,$thf( C )),bind(O,$thf( D )),bind(P,$thf( G )),bind(Q,$thf( I )),bind(R,$thf( J )),bind(S,$thf( K ))]]) ).
thf(4604,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( C @ ( B @ ( A @ ssPv25_4r1r1r1r1 ) ) ) )
| ( A @ ssPv28_1r1 )
| ( E @ ( skc44 @ ( skc46 @ ( D @ ( C @ ( B @ ( A @ ssPv22_7r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[4591]) ).
thf(4763,plain,
! [K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( E @ ( skc44 @ ( skc46 @ ( D @ ( C @ ( B @ ( A @ ssPv22_7r1r1r1r1r1r1r1 ) ) ) ) ) ) )
!= ( skc43 @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ssPv22_7r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
| ~ $true
| ~ ( D @ ( C @ ( B @ ( A @ ssPv25_4r1r1r1r1 ) ) ) )
| ( A @ ssPv28_1r1 ) ),
inference(paramod_ordered,[status(thm)],[4604,337]) ).
thf(4764,plain,
! [K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( E @ ( skc44 @ ( skc46 @ ( D @ ( C @ ( B @ ( A @ ssPv22_7r1r1r1r1r1r1r1 ) ) ) ) ) ) )
!= ( skc43 @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ssPv22_7r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
| ~ ( D @ ( C @ ( B @ ( A @ ssPv25_4r1r1r1r1 ) ) ) )
| ( A @ ssPv28_1r1 ) ),
inference(simp,[status(thm)],[4763]) ).
thf(4765,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( C @ ( B @ ( A @ ssPv25_4r1r1r1r1 ) ) ) )
| ( A @ ssPv28_1r1 ) ),
inference(pattern_uni,[status(thm)],[4764:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( C )),bind(D,$thf( D )),bind(E,$thf( skc43 )),bind(F,$thf( A )),bind(G,$thf( B )),bind(H,$thf( C )),bind(I,$thf( D )),bind(J,$thf( skc46 )),bind(K,$thf( skc44 ))]]) ).
thf(6221,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( C @ ( B @ ( A @ ssPv25_4r1r1r1r1 ) ) ) )
!= ( H @ ( G @ ( F @ ( E @ ssPv25_4r1r1r1r1 ) ) ) ) )
| ~ $true
| ( E @ ssPv28_1r1 )
| ~ ( C @ ( B @ ( A @ ssPv26_3r1r1r1 ) ) ) ),
inference(paramod_ordered,[status(thm)],[6106,4765]) ).
thf(6222,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( C @ ( B @ ( A @ ssPv25_4r1r1r1r1 ) ) ) )
!= ( H @ ( G @ ( F @ ( E @ ssPv25_4r1r1r1r1 ) ) ) ) )
| ( E @ ssPv28_1r1 )
| ~ ( C @ ( B @ ( A @ ssPv26_3r1r1r1 ) ) ) ),
inference(simp,[status(thm)],[6221]) ).
thf(6223,plain,
! [C: $i,B: $i,A: $i] :
( ( A @ ssPv28_1r1 )
| ~ ( C @ ( B @ ( A @ ssPv26_3r1r1r1 ) ) ) ),
inference(pattern_uni,[status(thm)],[6222:[bind(A,$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 ))]]) ).
thf(9284,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( C @ ( B @ ( A @ ssPv26_3r1r1r1 ) ) )
!= ( F @ ( E @ ( D @ ssPv26_3r1r1r1 ) ) ) )
| ( D @ ssPv28_1r1 )
| ~ $true
| ( A @ ssPv28_1r1 ) ),
inference(paramod_ordered,[status(thm)],[9234,6223]) ).
thf(9285,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( C @ ( B @ ( A @ ssPv26_3r1r1r1 ) ) )
!= ( F @ ( E @ ( D @ ssPv26_3r1r1r1 ) ) ) )
| ( D @ ssPv28_1r1 )
| ( A @ ssPv28_1r1 ) ),
inference(simp,[status(thm)],[9284]) ).
thf(9286,plain,
! [A: $i] :
( ( A @ ssPv28_1r1 )
| ( A @ ssPv28_1r1 ) ),
inference(pattern_uni,[status(thm)],[9285:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( C )),bind(D,$thf( A )),bind(E,$thf( B )),bind(F,$thf( C ))]]) ).
thf(9312,plain,
! [A: $i] : ( A @ ssPv28_1r1 ),
inference(simp,[status(thm)],[9286]) ).
thf(9358,plain,
! [K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( E @ ( D @ ( C @ ( B @ ( A @ ssPv24_5r1r1r1r1r1 ) ) ) ) )
| ~ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv18_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(rewrite,[status(thm)],[1654,9312]) ).
thf(9359,plain,
! [K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( E @ ( D @ ( C @ ( B @ ( A @ ssPv24_5r1r1r1r1r1 ) ) ) ) )
| ~ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv18_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[9358]) ).
thf(9559,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] :
( ( ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv18_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
!= ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ssPv18_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) )
| ( P @ ( O @ ( N @ ( M @ ( L @ ssPv24_5r1r1r1r1r1 ) ) ) ) )
| ~ $true
| ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv21_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
| ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv20_9r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ),
inference(paramod_ordered,[status(thm)],[9514,9359]) ).
thf(9560,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] :
( ( ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv18_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
!= ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ssPv18_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) )
| ( P @ ( O @ ( N @ ( M @ ( L @ ssPv24_5r1r1r1r1r1 ) ) ) ) )
| ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv21_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
| ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv20_9r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[9559]) ).
thf(9561,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( E @ ( D @ ( C @ ( B @ ( A @ ssPv24_5r1r1r1r1r1 ) ) ) ) )
| ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv21_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
| ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv20_9r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[9560:[bind(A,$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,$thf( A )),bind(M,$thf( B )),bind(N,$thf( C )),bind(O,$thf( D )),bind(P,$thf( E )),bind(Q,$thf( F )),bind(R,$thf( G )),bind(S,$thf( H )),bind(T,$thf( I )),bind(U,$thf( J )),bind(V,$thf( K ))]]) ).
thf(60,negated_conjecture,
! [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 @ ssPv11_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 ) ) ) ) ) )
| ~ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv23_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 ) ) ) ) ) ) ) ) )
| ~ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv20_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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv8_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause60) ).
thf(127,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] :
( ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv11_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 ) ) ) ) ) )
| ~ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv23_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 ) ) ) ) ) ) ) ) )
| ~ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv20_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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv8_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[60]) ).
thf(278,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] :
( ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv11_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 ) ) ) ) ) )
| ~ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv23_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 ) ) ) ) ) ) ) ) )
| ~ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv20_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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv8_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[127]) ).
thf(1693,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] :
( ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv11_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv23_6r1r1r1r1r1r1 ) ) ) ) ) )
| ~ $true
| ~ $true
| ~ $true
| ~ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv20_9r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) )
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ ( 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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv8_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(rewrite,[status(thm)],[278,387,419,363,333,335,1168,307,467,309,405,311,375,791,536,124,317,351]) ).
thf(1694,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] :
( ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv11_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv23_6r1r1r1r1r1r1 ) ) ) ) ) )
| ~ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv20_9r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) )
| ~ ( 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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv8_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[1693]) ).
thf(1695,plain,
! [ZO: $i,ZN: $i,ZM: $i,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] :
( ( ( skc30 @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv8_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
!= ( ZO @ ( ZN @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ssPv8_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ssPv11_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ssPv23_6r1r1r1r1r1r1 ) ) ) ) ) )
| ~ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ssPv20_9r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) )
| ~ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ $true
| ~ ( ZN @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( 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(paramod_ordered,[status(thm)],[1340,1694]) ).
thf(1696,plain,
! [ZO: $i,ZN: $i,ZM: $i,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] :
( ( ( skc30 @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv8_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
!= ( ZO @ ( ZN @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ssPv8_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ssPv11_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ssPv23_6r1r1r1r1r1r1 ) ) ) ) ) )
| ~ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ssPv20_9r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) )
| ~ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZN @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( 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(simp,[status(thm)],[1695]) ).
thf(1697,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: $i] :
( ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv11_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv23_6r1r1r1r1r1r1 ) ) ) ) ) )
| ~ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv20_9r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) )
| ~ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[1696:[bind(A,$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( S )),bind(T,$thf( T )),bind(U,$thf( A )),bind(V,$thf( B )),bind(W,$thf( C )),bind(X,$thf( D )),bind(Y,$thf( E )),bind(Z,$thf( F )),bind(ZA,$thf( G )),bind(ZB,$thf( H )),bind(ZC,$thf( I )),bind(ZD,$thf( J )),bind(ZE,$thf( K )),bind(ZF,$thf( L )),bind(ZG,$thf( M )),bind(ZH,$thf( N )),bind(ZI,$thf( O )),bind(ZJ,$thf( P )),bind(ZK,$thf( Q )),bind(ZL,$thf( R )),bind(ZM,$thf( S )),bind(ZN,$thf( T )),bind(ZO,$thf( skc30 ))]]) ).
thf(1701,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] :
( ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv11_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv23_6r1r1r1r1r1r1 ) ) ) ) ) )
| ~ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv20_9r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) )
| ~ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( 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(simp,[status(thm)],[1697]) ).
thf(1711,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] :
( ( ( skc44 @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv23_6r1r1r1r1r1r1 ) ) ) ) ) )
!= ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ssPv23_6r1r1r1r1r1r1 ) ) ) ) ) ) )
| ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ssPv11_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ $true
| ~ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ssPv20_9r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) )
| ~ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(paramod_ordered,[status(thm)],[327,1701]) ).
thf(1712,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] :
( ( ( skc44 @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv23_6r1r1r1r1r1r1 ) ) ) ) ) )
!= ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ssPv23_6r1r1r1r1r1r1 ) ) ) ) ) ) )
| ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ssPv11_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ssPv20_9r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) )
| ~ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[1711]) ).
thf(1713,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: $i] :
( ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( skc44 @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv11_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( H @ ( G @ ( F @ ( skc44 @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv20_9r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) )
| ~ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( skc44 @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( skc44 @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( skc44 @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( skc44 @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[1712:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( C )),bind(D,$thf( D )),bind(E,$thf( E )),bind(F,$thf( A )),bind(G,$thf( B )),bind(H,$thf( C )),bind(I,$thf( D )),bind(J,$thf( E )),bind(K,$thf( skc44 ))]]) ).
thf(1714,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] :
( ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( skc44 @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv11_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( H @ ( G @ ( F @ ( skc44 @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv20_9r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) )
| ~ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( skc44 @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( skc44 @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( skc44 @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( skc44 @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[1713]) ).
thf(2481,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] :
( ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( skc44 @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv11_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( H @ ( G @ ( F @ ( skc44 @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv20_9r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) )
| ~ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( skc44 @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ $true
| ~ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( skc44 @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( skc44 @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(rewrite,[status(thm)],[1714,2444]) ).
thf(2482,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] :
( ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( skc44 @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv11_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( H @ ( G @ ( F @ ( skc44 @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv20_9r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) )
| ~ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( skc44 @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( skc44 @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( skc44 @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[2481]) ).
thf(3912,plain,
! [ZM: $i,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] :
( ( ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
!= ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( skc44 @ ( Y @ ( X @ ( W @ ( V @ ( U @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( skc44 @ ( Y @ ( X @ ( W @ ( V @ ( U @ ssPv11_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZB @ ( ZA @ ( Z @ ( skc44 @ ( Y @ ( X @ ( W @ ( V @ ( U @ ssPv20_9r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) )
| ~ $true
| ~ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( skc44 @ ( Y @ ( X @ ( W @ ( V @ ( U @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( skc44 @ ( Y @ ( X @ ( W @ ( V @ ( U @ ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( 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(paramod_ordered,[status(thm)],[3866,2482]) ).
thf(3913,plain,
! [ZM: $i,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] :
( ( ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
!= ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( skc44 @ ( Y @ ( X @ ( W @ ( V @ ( U @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( skc44 @ ( Y @ ( X @ ( W @ ( V @ ( U @ ssPv11_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZB @ ( ZA @ ( Z @ ( skc44 @ ( Y @ ( X @ ( W @ ( V @ ( U @ ssPv20_9r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) )
| ~ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( skc44 @ ( Y @ ( X @ ( W @ ( V @ ( U @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( skc44 @ ( Y @ ( X @ ( W @ ( V @ ( U @ ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( 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(simp,[status(thm)],[3912]) ).
thf(3914,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: $i] :
( ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( skc44 @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv11_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( H @ ( G @ ( F @ ( skc44 @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv20_9r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) )
| ~ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( skc44 @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( skc44 @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( skc44 @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( skc44 @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[3913:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( C )),bind(D,$thf( D )),bind(E,$thf( E )),bind(F,$thf( skc44 )),bind(G,$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( S )),bind(T,$thf( T )),bind(U,$thf( A )),bind(V,$thf( B )),bind(W,$thf( C )),bind(X,$thf( D )),bind(Y,$thf( E )),bind(Z,$thf( G )),bind(ZA,$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,$thf( S )),bind(ZM,$thf( T ))]]) ).
thf(3966,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] :
( ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( skc44 @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv11_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( H @ ( G @ ( F @ ( skc44 @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv20_9r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) )
| ~ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( skc44 @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( skc44 @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[3914]) ).
thf(5726,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 @ ( skc44 @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv11_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( H @ ( G @ ( F @ ( skc44 @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv20_9r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) )
| ~ $true
| ~ $true ),
inference(rewrite,[status(thm)],[3966,4339,4361]) ).
thf(5727,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 @ ( skc44 @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv11_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( H @ ( G @ ( F @ ( skc44 @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv20_9r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[5726]) ).
thf(12,negated_conjecture,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( skc42 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv22_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(156,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( skc42 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv22_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(238,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( skc42 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv22_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)],[156]) ).
thf(342,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( skc42 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv22_7r1r1r1r1r1r1r1 ) ) ) ) ) ) )
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true ),
inference(rewrite,[status(thm)],[238,307,309,311,124,317,333]) ).
thf(343,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] : ( skc42 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv22_7r1r1r1r1r1r1r1 ) ) ) ) ) ) ),
inference(simp,[status(thm)],[342]) ).
thf(42,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] :
( ( E @ ( D @ ( C @ ( B @ ( A @ ssPv24_5r1r1r1r1r1 ) ) ) ) )
| ~ 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 @ ssPv22_7r1r1r1r1r1r1r1 ) ) ) ) ) ) )
| ~ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
| ~ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_9r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) )
| ~ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv20_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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv11_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( 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',clause42) ).
thf(110,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] :
( ( E @ ( D @ ( C @ ( B @ ( A @ ssPv24_5r1r1r1r1r1 ) ) ) ) )
| ~ 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 @ ssPv22_7r1r1r1r1r1r1r1 ) ) ) ) ) ) )
| ~ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
| ~ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_9r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) )
| ~ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv20_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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv11_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( 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)],[42]) ).
thf(218,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] :
( ( E @ ( D @ ( C @ ( B @ ( A @ ssPv24_5r1r1r1r1r1 ) ) ) ) )
| ~ 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 @ ssPv22_7r1r1r1r1r1r1r1 ) ) ) ) ) ) )
| ~ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
| ~ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_9r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) )
| ~ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv20_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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv11_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[110]) ).
thf(675,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] :
( ( E @ ( D @ ( C @ ( B @ ( A @ ssPv24_5r1r1r1r1r1 ) ) ) ) )
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv22_7r1r1r1r1r1r1r1 ) ) ) ) ) ) )
| ~ $true
| ~ $true
| ~ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv20_9r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) )
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ ( 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 @ ssPv11_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(rewrite,[status(thm)],[218,387,419,363,333,335,307,467,309,405,311,375,536,124,317,351]) ).
thf(676,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] :
( ( E @ ( D @ ( C @ ( B @ ( A @ ssPv24_5r1r1r1r1r1 ) ) ) ) )
| ~ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv22_7r1r1r1r1r1r1r1 ) ) ) ) ) ) )
| ~ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv20_9r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) )
| ~ ( 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 @ ssPv11_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[675]) ).
thf(677,plain,
! [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] :
( ( ( skc42 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv22_7r1r1r1r1r1r1r1 ) ) ) ) ) ) )
!= ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ssPv22_7r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
| ( K @ ( J @ ( I @ ( H @ ( G @ ssPv24_5r1r1r1r1r1 ) ) ) ) )
| ~ $true
| ~ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ssPv20_9r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) )
| ~ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ssPv11_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(paramod_ordered,[status(thm)],[343,676]) ).
thf(678,plain,
! [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] :
( ( ( skc42 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv22_7r1r1r1r1r1r1r1 ) ) ) ) ) ) )
!= ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ssPv22_7r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
| ( K @ ( J @ ( I @ ( H @ ( G @ ssPv24_5r1r1r1r1r1 ) ) ) ) )
| ~ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ssPv20_9r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) )
| ~ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ssPv11_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[677]) ).
thf(679,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: $i] :
( ( E @ ( D @ ( C @ ( B @ ( A @ ssPv24_5r1r1r1r1r1 ) ) ) ) )
| ~ ( H @ ( G @ ( skc42 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv20_9r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) )
| ~ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( skc42 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( skc42 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( skc42 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv11_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( skc42 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[678:[bind(A,$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( A )),bind(H,$thf( B )),bind(I,$thf( C )),bind(J,$thf( D )),bind(K,$thf( E )),bind(L,$thf( F )),bind(M,$thf( skc42 ))]]) ).
thf(680,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] :
( ( E @ ( D @ ( C @ ( B @ ( A @ ssPv24_5r1r1r1r1r1 ) ) ) ) )
| ~ ( H @ ( G @ ( skc42 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv20_9r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) )
| ~ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( skc42 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( skc42 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( skc42 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv11_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( skc42 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[679]) ).
thf(832,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] :
( ( E @ ( D @ ( C @ ( B @ ( A @ ssPv24_5r1r1r1r1r1 ) ) ) ) )
| ~ ( H @ ( G @ ( skc42 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv20_9r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) )
| ~ $true
| ~ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( skc42 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( skc42 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv11_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( skc42 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(rewrite,[status(thm)],[680,791]) ).
thf(833,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] :
( ( E @ ( D @ ( C @ ( B @ ( A @ ssPv24_5r1r1r1r1r1 ) ) ) ) )
| ~ ( H @ ( G @ ( skc42 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv20_9r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) )
| ~ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( skc42 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( skc42 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv11_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( skc42 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[832]) ).
thf(1247,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] :
( ( E @ ( D @ ( C @ ( B @ ( A @ ssPv24_5r1r1r1r1r1 ) ) ) ) )
| ~ ( H @ ( G @ ( skc42 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv20_9r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) )
| ~ $true
| ~ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( skc42 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv11_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( skc42 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(rewrite,[status(thm)],[833,1168]) ).
thf(1248,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] :
( ( E @ ( D @ ( C @ ( B @ ( A @ ssPv24_5r1r1r1r1r1 ) ) ) ) )
| ~ ( H @ ( G @ ( skc42 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv20_9r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) )
| ~ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( skc42 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv11_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( skc42 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[1247]) ).
thf(2613,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] :
( ( E @ ( D @ ( C @ ( B @ ( A @ ssPv24_5r1r1r1r1r1 ) ) ) ) )
| ~ ( H @ ( G @ ( skc42 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv20_9r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) )
| ~ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( skc42 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv11_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(rewrite,[status(thm)],[1248,2444]) ).
thf(2614,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] :
( ( E @ ( D @ ( C @ ( B @ ( A @ ssPv24_5r1r1r1r1r1 ) ) ) ) )
| ~ ( H @ ( G @ ( skc42 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv20_9r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) )
| ~ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( skc42 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv11_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[2613]) ).
thf(5755,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 @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( skc44 @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv11_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
!= ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( skc42 @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ssPv11_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( V @ ( U @ ( T @ ( S @ ( R @ ssPv24_5r1r1r1r1r1 ) ) ) ) )
| ~ ( Y @ ( X @ ( skc42 @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ssPv20_9r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) )
| ~ $true
| ~ ( H @ ( G @ ( F @ ( skc44 @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv20_9r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ),
inference(paramod_ordered,[status(thm)],[5727,2614]) ).
thf(5756,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 @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( skc44 @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv11_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
!= ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( skc42 @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ssPv11_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( V @ ( U @ ( T @ ( S @ ( R @ ssPv24_5r1r1r1r1r1 ) ) ) ) )
| ~ ( Y @ ( X @ ( skc42 @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ssPv20_9r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) )
| ~ ( H @ ( G @ ( F @ ( skc44 @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv20_9r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[5755]) ).
thf(5757,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( E @ ( D @ ( C @ ( B @ ( A @ ssPv24_5r1r1r1r1r1 ) ) ) ) )
| ~ ( G @ ( F @ ( skc42 @ ( skc44 @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv20_9r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) )
| ~ ( G @ ( F @ ( skc42 @ ( skc44 @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv20_9r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[5756:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( C )),bind(D,$thf( D )),bind(E,$thf( E )),bind(F,$thf( skc42 )),bind(G,$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( skc44 )),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(5777,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( E @ ( D @ ( C @ ( B @ ( A @ ssPv24_5r1r1r1r1r1 ) ) ) ) )
| ~ ( G @ ( F @ ( skc42 @ ( skc44 @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv20_9r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[5757]) ).
thf(9622,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] :
( ( ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv20_9r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) )
!= ( P @ ( O @ ( skc42 @ ( skc44 @ ( N @ ( M @ ( L @ ( K @ ( J @ ssPv20_9r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) )
| ( N @ ( M @ ( L @ ( K @ ( J @ ssPv24_5r1r1r1r1r1 ) ) ) ) )
| ~ $true
| ( E @ ( D @ ( C @ ( B @ ( A @ ssPv24_5r1r1r1r1r1 ) ) ) ) )
| ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv21_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ),
inference(paramod_ordered,[status(thm)],[9561,5777]) ).
thf(9623,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] :
( ( ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv20_9r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) )
!= ( P @ ( O @ ( skc42 @ ( skc44 @ ( N @ ( M @ ( L @ ( K @ ( J @ ssPv20_9r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) )
| ( N @ ( M @ ( L @ ( K @ ( J @ ssPv24_5r1r1r1r1r1 ) ) ) ) )
| ( E @ ( D @ ( C @ ( B @ ( A @ ssPv24_5r1r1r1r1r1 ) ) ) ) )
| ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv21_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[9622]) ).
thf(9624,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( E @ ( D @ ( C @ ( B @ ( A @ ssPv24_5r1r1r1r1r1 ) ) ) ) )
| ( E @ ( D @ ( C @ ( B @ ( A @ ssPv24_5r1r1r1r1r1 ) ) ) ) )
| ( F @ ( skc42 @ ( skc44 @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv21_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[9623:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( C )),bind(D,$thf( D )),bind(E,$thf( E )),bind(F,$thf( skc44 )),bind(G,$thf( skc42 )),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,$thf( E )),bind(O,$thf( H )),bind(P,$thf( I ))]]) ).
thf(9627,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( E @ ( D @ ( C @ ( B @ ( A @ ssPv24_5r1r1r1r1r1 ) ) ) ) )
| ( F @ ( skc42 @ ( skc44 @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv21_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[9624]) ).
thf(9632,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 @ ( skc42 @ ( skc44 @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv21_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
!= ( skc41 @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ssPv21_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) )
| ~ $true
| ( E @ ( D @ ( C @ ( B @ ( A @ ssPv24_5r1r1r1r1r1 ) ) ) ) ) ),
inference(paramod_ordered,[status(thm)],[9627,339]) ).
thf(9633,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 @ ( skc42 @ ( skc44 @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv21_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
!= ( skc41 @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ssPv21_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) )
| ( E @ ( D @ ( C @ ( B @ ( A @ ssPv24_5r1r1r1r1r1 ) ) ) ) ) ),
inference(simp,[status(thm)],[9632]) ).
thf(9634,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] : ( E @ ( D @ ( C @ ( B @ ( A @ ssPv24_5r1r1r1r1r1 ) ) ) ) ),
inference(pattern_uni,[status(thm)],[9633:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( C )),bind(D,$thf( D )),bind(E,$thf( E )),bind(F,$thf( skc41 )),bind(G,$thf( A )),bind(H,$thf( B )),bind(I,$thf( C )),bind(J,$thf( D )),bind(K,$thf( E )),bind(L,$thf( skc44 )),bind(M,$thf( skc42 ))]]) ).
thf(9646,plain,
~ $true,
inference(rewrite,[status(thm)],[313,9634]) ).
thf(9647,plain,
$false,
inference(simp,[status(thm)],[9646]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN895-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.07 % 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
% 0.12/15.42 % Computer : n006.cluster.edu
% 0.12/15.42 % Model : x86_64 x86_64
% 0.12/15.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/15.42 % Memory : 8046.5625MB
% 0.12/15.42 % OS : Linux 6.8.0-71-generic
% 0.12/15.42 % CPULimit : 300
% 0.12/15.42 % WCLimit : 300
% 0.12/15.42 % DateTime : Sat Sep 26 18:45:58 UTC 2026
% 0.12/15.42 % CPUTime :
% 0.12/15.42 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
% 0.18/16.00 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 2.26/16.42 % [INFO] Parsing done (418ms).
% 2.26/16.44 % [INFO] Running in sequential loop mode.
% 3.61/16.83 % [INFO] eprover registered as external prover.
% 3.61/16.84 % [INFO] Scanning for conjecture ...
% 5.38/17.70 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 7.93/19.32 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 7.93/19.32 % [INFO] Problem is propositional (TPTP CNF).
% 7.93/19.35 % [INFO] Type checking passed.
% 7.93/19.36 % [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 ...
% 95.77/79.26 % [INFO] Killing All external provers ...
% 95.77/79.27 % Time passed: 63700ms (effective reasoning time: 62820ms)
% 95.77/79.27 % Axioms used in derivation (0):
% 95.77/79.27 % No. of inferences in proof: 667
% 95.77/79.27 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : 63700 ms resp. 62820 ms w/o parsing
% 97.94/79.77 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 97.94/79.78 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------