%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : SYN881-1 : 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 09:18:40 AM UTC 2026
% Result : Unsatisfiable 54.22s 24.31s
% Output : Refutation 55.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 98
% Number of leaves : 41
% Syntax : Number of formulae : 400 ( 38 unt; 0 typ; 0 def)
% Number of atoms : 3569 ( 70 equ; 0 cnn)
% Maximal formula atoms : 26 ( 8 avg)
% Number of connectives : 37850 (2942 ~;3029 |; 0 &;31879 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 80 ( 39 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 52 ( 49 usr; 13 con; 0-22 aty)
% Number of variables : 6891 ( 0 ^;6891 !; 0 ?;6891 :)
% 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(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(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(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(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(ssPv20_9r1r1r1r1r1r1r1r1r1_decl,type,
ssPv20_9r1r1r1r1r1r1r1r1r1: $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).
thf(ssPv19_10r1r1r1r1r1r1r1r1r1r1_decl,type,
ssPv19_10r1r1r1r1r1r1r1r1r1r1: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).
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(ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1_decl,type,
ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).
thf(ssPv26_3r1r1r1_decl,type,
ssPv26_3r1r1r1: $i > $i > $i > $o ).
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(ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1_decl,type,
ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).
thf(ssPv25_4r1r1r1r1_decl,type,
ssPv25_4r1r1r1r1: $i > $i > $i > $i > $o ).
thf(ssPv13_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1_decl,type,
ssPv13_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).
thf(skc33_decl,type,
skc33: $i ).
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(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(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(ssPv12_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1_decl,type,
ssPv12_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1: $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_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(ssPv9_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1_decl,type,
ssPv9_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1: $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(148,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(226,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)],[148]) ).
thf(1,negated_conjecture,
ssNder1_0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause1) ).
thf(114,plain,
ssNder1_0,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(2,negated_conjecture,
! [A: $i] :
( ( A @ ssNder1_1r1 )
| ~ ssNder1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause2) ).
thf(131,plain,
! [A: $i] :
( ( A @ ssNder1_1r1 )
| ~ ssNder1_0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(270,plain,
! [A: $i] :
( ( A @ ssNder1_1r1 )
| ~ ssNder1_0 ),
inference(cnf,[status(esa)],[131]) ).
thf(276,plain,
! [A: $i] :
( ( A @ ssNder1_1r1 )
| ~ $true ),
inference(rewrite,[status(thm)],[270,114]) ).
thf(277,plain,
! [A: $i] : ( A @ ssNder1_1r1 ),
inference(simp,[status(thm)],[276]) ).
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(152,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ ssNder1_2r1r1 ) )
| ~ ssNder1_0
| ~ ( A @ ssNder1_1r1 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(200,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ ssNder1_2r1r1 ) )
| ~ ssNder1_0
| ~ ( A @ ssNder1_1r1 ) ),
inference(cnf,[status(esa)],[152]) ).
thf(278,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ ssNder1_2r1r1 ) )
| ~ $true
| ~ $true ),
inference(rewrite,[status(thm)],[200,114,277]) ).
thf(279,plain,
! [B: $i,A: $i] : ( B @ ( A @ ssNder1_2r1r1 ) ),
inference(simp,[status(thm)],[278]) ).
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(177,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(252,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)],[177]) ).
thf(280,plain,
! [C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( A @ ssNder1_3r1r1r1 ) ) )
| ~ $true
| ~ $true
| ~ $true ),
inference(rewrite,[status(thm)],[252,114,277,279]) ).
thf(281,plain,
! [C: $i,B: $i,A: $i] : ( C @ ( B @ ( A @ ssNder1_3r1r1r1 ) ) ),
inference(simp,[status(thm)],[280]) ).
thf(282,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ ( skc47 @ ( D @ ( C @ ( B @ ( A @ ssPv24_5r1r1r1r1r1 ) ) ) ) ) ),
inference(rewrite,[status(thm)],[226,114,277,279,281]) ).
thf(283,plain,
! [D: $i,C: $i,B: $i,A: $i] :
~ ( skc47 @ ( D @ ( C @ ( B @ ( A @ ssPv24_5r1r1r1r1r1 ) ) ) ) ),
inference(simp,[status(thm)],[282]) ).
thf(53,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',clause53) ).
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] :
( ( 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)],[53]) ).
thf(251,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)],[127]) ).
thf(38,negated_conjecture,
! [P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( 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',clause38) ).
thf(123,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)],[38]) ).
thf(247,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)],[123]) ).
thf(34,negated_conjecture,
! [O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( 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',clause34) ).
thf(136,plain,
! [O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( 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)],[34]) ).
thf(269,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)],[136]) ).
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(106,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(203,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)],[106]) ).
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(169,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(215,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)],[169]) ).
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(93,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(199,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)],[93]) ).
thf(286,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( D @ ( C @ ( B @ ( A @ ssNder1_4r1r1r1r1 ) ) ) )
| ~ $true
| ~ $true
| ~ $true
| ~ $true ),
inference(rewrite,[status(thm)],[199,114,277,279,281]) ).
thf(287,plain,
! [D: $i,C: $i,B: $i,A: $i] : ( D @ ( C @ ( B @ ( A @ ssNder1_4r1r1r1r1 ) ) ) ),
inference(simp,[status(thm)],[286]) ).
thf(298,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)],[215,114,277,279,281,287]) ).
thf(299,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] : ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_5r1r1r1r1r1 ) ) ) ) ),
inference(simp,[status(thm)],[298]) ).
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(162,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(245,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)],[162]) ).
thf(314,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)],[245,114,277,279,281,299,287]) ).
thf(315,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)],[314]) ).
thf(328,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)],[203,114,277,279,281,299,315,287]) ).
thf(329,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)],[328]) ).
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(176,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(230,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)],[176]) ).
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(134,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(222,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)],[134]) ).
thf(350,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)],[222,114,277,279,281,329,299,315,287]) ).
thf(351,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)],[350]) ).
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(157,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(198,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)],[157]) ).
thf(382,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)],[198,114,277,279,281,329,299,315,287,351]) ).
thf(383,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)],[382]) ).
thf(424,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)],[230,114,277,279,281,329,299,315,287,351,383]) ).
thf(425,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)],[424]) ).
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] :
( ( 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',clause26) ).
thf(166,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)],[26]) ).
thf(225,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)],[166]) ).
thf(20,negated_conjecture,
! [K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ~ ssNder1_0
| ~ ( A @ ssNder1_1r1 )
| ~ ( B @ ( A @ ssNder1_2r1r1 ) )
| ~ ( C @ ( B @ ( A @ ssNder1_3r1r1r1 ) ) )
| ~ ( D @ ( C @ ( B @ ( A @ ssNder1_4r1r1r1r1 ) ) ) )
| ~ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_5r1r1r1r1r1 ) ) ) ) )
| ~ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_6r1r1r1r1r1r1 ) ) ) ) ) )
| ~ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_7r1r1r1r1r1r1r1 ) ) ) ) ) ) )
| ~ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
| ~ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_9r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) )
| ~ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_10r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause20) ).
thf(107,plain,
! [K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ~ ssNder1_0
| ~ ( A @ ssNder1_1r1 )
| ~ ( B @ ( A @ ssNder1_2r1r1 ) )
| ~ ( C @ ( B @ ( A @ ssNder1_3r1r1r1 ) ) )
| ~ ( D @ ( C @ ( B @ ( A @ ssNder1_4r1r1r1r1 ) ) ) )
| ~ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_5r1r1r1r1r1 ) ) ) ) )
| ~ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_6r1r1r1r1r1r1 ) ) ) ) ) )
| ~ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_7r1r1r1r1r1r1r1 ) ) ) ) ) ) )
| ~ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
| ~ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_9r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) )
| ~ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_10r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).
thf(266,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)],[107]) ).
thf(474,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)],[266,114,277,279,281,329,425,299,315,287,351,383]) ).
thf(475,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)],[474]) ).
thf(21,negated_conjecture,
! [L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) )
| ~ ssNder1_0
| ~ ( A @ ssNder1_1r1 )
| ~ ( B @ ( A @ ssNder1_2r1r1 ) )
| ~ ( C @ ( B @ ( A @ ssNder1_3r1r1r1 ) ) )
| ~ ( D @ ( C @ ( B @ ( A @ ssNder1_4r1r1r1r1 ) ) ) )
| ~ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_5r1r1r1r1r1 ) ) ) ) )
| ~ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_6r1r1r1r1r1r1 ) ) ) ) ) )
| ~ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_7r1r1r1r1r1r1r1 ) ) ) ) ) ) )
| ~ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
| ~ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_9r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) )
| ~ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_10r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) )
| ~ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause21) ).
thf(120,plain,
! [L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) )
| ~ ssNder1_0
| ~ ( A @ ssNder1_1r1 )
| ~ ( B @ ( A @ ssNder1_2r1r1 ) )
| ~ ( C @ ( B @ ( A @ ssNder1_3r1r1r1 ) ) )
| ~ ( D @ ( C @ ( B @ ( A @ ssNder1_4r1r1r1r1 ) ) ) )
| ~ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_5r1r1r1r1r1 ) ) ) ) )
| ~ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_6r1r1r1r1r1r1 ) ) ) ) ) )
| ~ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_7r1r1r1r1r1r1r1 ) ) ) ) ) ) )
| ~ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
| ~ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_9r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) )
| ~ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_10r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) )
| ~ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).
thf(192,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)],[120]) ).
thf(510,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)],[192,329,425,299,114,277,279,281,315,475,287,351,383]) ).
thf(511,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)],[510]) ).
thf(562,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)],[225,329,425,299,114,277,279,281,315,475,287,351,383,511]) ).
thf(563,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)],[562]) ).
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] :
( ( 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',clause31) ).
thf(161,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)],[31]) ).
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] :
( ( 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)],[161]) ).
thf(630,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)],[227,329,425,299,114,563,277,279,281,315,475,287,351,383,511]) ).
thf(631,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)],[630]) ).
thf(871,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)],[269,329,425,299,114,563,277,279,631,281,315,475,287,351,383,511]) ).
thf(872,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)],[871]) ).
thf(1157,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)],[247,872,329,425,299,114,563,277,279,631,281,315,475,287,351,383,511]) ).
thf(1158,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)],[1157]) ).
thf(39,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',clause39) ).
thf(149,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)],[39]) ).
thf(229,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)],[149]) ).
thf(1286,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)],[229,1158,872,329,425,299,114,563,277,279,631,281,315,475,287,351,383,511]) ).
thf(1287,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)],[1286]) ).
thf(43,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',clause43) ).
thf(164,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)],[43]) ).
thf(201,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)],[164]) ).
thf(672,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
| ~ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(rewrite,[status(thm)],[201,329,425,299,114,563,277,279,631,281,315,475,287,351,383,511]) ).
thf(673,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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[672]) ).
thf(875,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
| ~ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(rewrite,[status(thm)],[673,872]) ).
thf(876,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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[875]) ).
thf(1189,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
| ~ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(rewrite,[status(thm)],[876,1158]) ).
thf(1190,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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[1189]) ).
thf(1288,plain,
! [R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(rewrite,[status(thm)],[1190,1287]) ).
thf(1289,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)],[1288]) ).
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] :
( ( 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',clause46) ).
thf(108,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)],[46]) ).
thf(241,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)],[108]) ).
thf(45,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',clause45) ).
thf(132,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)],[45]) ).
thf(206,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)],[132]) ).
thf(739,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
| ~ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(rewrite,[status(thm)],[206,329,425,299,114,563,277,279,631,281,315,475,287,351,383,511]) ).
thf(740,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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[739]) ).
thf(744,plain,
! [ZK: $i,ZJ: $i,ZI: $i,ZH: $i,ZG: $i,ZF: $i,ZE: $i,ZD: $i,ZC: $i,ZB: $i,ZA: $i,Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
!= ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ $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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(paramod_ordered,[status(thm)],[673,740]) ).
thf(745,plain,
! [ZK: $i,ZJ: $i,ZI: $i,ZH: $i,ZG: $i,ZF: $i,ZE: $i,ZD: $i,ZC: $i,ZB: $i,ZA: $i,Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
!= ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[744]) ).
thf(746,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: $i] :
( ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[745:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( C )),bind(D,$thf( D )),bind(E,$thf( E )),bind(F,$thf( F )),bind(G,$thf( G )),bind(H,$thf( H )),bind(I,$thf( I )),bind(J,$thf( J )),bind(K,$thf( K )),bind(L,$thf( L )),bind(M,$thf( M )),bind(N,$thf( N )),bind(O,$thf( O )),bind(P,$thf( P )),bind(Q,$thf( Q )),bind(R,$thf( R )),bind(S,$thf( A )),bind(T,$thf( B )),bind(U,$thf( C )),bind(V,$thf( D )),bind(W,$thf( E )),bind(X,$thf( F )),bind(Y,$thf( G )),bind(Z,$thf( H )),bind(ZA,$thf( I )),bind(ZB,$thf( J )),bind(ZC,$thf( K )),bind(ZD,$thf( L )),bind(ZE,$thf( M )),bind(ZF,$thf( N )),bind(ZG,$thf( O )),bind(ZH,$thf( P )),bind(ZI,$thf( Q )),bind(ZJ,$thf( R ))]]) ).
thf(773,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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[746]) ).
thf(891,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
| ~ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(rewrite,[status(thm)],[773,872]) ).
thf(892,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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[891]) ).
thf(1159,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
| ~ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(rewrite,[status(thm)],[892,1158]) ).
thf(1160,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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[1159]) ).
thf(1300,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)],[1160,1287]) ).
thf(1301,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)],[1300]) ).
thf(1616,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
| ~ $true
| ~ $true ),
inference(rewrite,[status(thm)],[241,1158,1287,872,329,425,1289,299,114,563,277,1301,279,631,281,315,475,287,351,383,511]) ).
thf(1617,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)],[1616]) ).
thf(1976,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
| ~ $true
| ~ $true
| ~ $true
| ~ $true ),
inference(rewrite,[status(thm)],[251,1158,1287,872,329,425,1289,299,1617,114,563,277,1301,279,631,281,315,475,287,351,383,511]) ).
thf(1977,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)],[1976]) ).
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(126,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(268,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)],[126]) ).
thf(302,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)],[268,114,277,279,281,287]) ).
thf(303,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] : ( skc44 @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv23_6r1r1r1r1r1r1 ) ) ) ) ) ),
inference(simp,[status(thm)],[302]) ).
thf(47,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] :
( ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv13_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 @ ssPv12_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 ) ) ) ) ) )
| ~ ( 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 ) ) ) ) ) ) ) ) ) ) )
| ~ ( 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',clause47) ).
thf(179,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] :
( ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv13_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 @ ssPv12_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 ) ) ) ) ) )
| ~ ( 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 ) ) ) ) ) ) ) ) ) ) )
| ~ ( 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)],[47]) ).
thf(202,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] :
( ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv13_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 @ ssPv12_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 ) ) ) ) ) )
| ~ ( 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 ) ) ) ) ) ) ) ) ) ) )
| ~ ( 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)],[179]) ).
thf(624,plain,
! [R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv13_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 @ ssPv12_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv23_6r1r1r1r1r1r1 ) ) ) ) ) )
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(rewrite,[status(thm)],[202,329,425,299,114,563,277,279,281,315,475,287,351,383,511]) ).
thf(625,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] :
( ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv13_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 @ ssPv12_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv23_6r1r1r1r1r1r1 ) ) ) ) ) )
| ~ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[624]) ).
thf(638,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] :
( ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv13_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 @ ssPv12_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv23_6r1r1r1r1r1r1 ) ) ) ) ) )
| ~ $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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(rewrite,[status(thm)],[625,631]) ).
thf(639,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] :
( ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv13_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 @ ssPv12_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv23_6r1r1r1r1r1r1 ) ) ) ) ) )
| ~ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[638]) ).
thf(668,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 ) ) ) ) ) ) )
| ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ssPv13_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ssPv11_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ssPv12_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ $true
| ~ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(paramod_ordered,[status(thm)],[303,639]) ).
thf(669,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 ) ) ) ) ) ) )
| ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ssPv13_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ssPv11_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ssPv12_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[668]) ).
thf(670,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: $i] :
( ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( skc44 @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv13_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( skc44 @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv11_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( skc44 @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv12_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( skc44 @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( skc44 @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( skc44 @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[669:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( C )),bind(D,$thf( D )),bind(E,$thf( 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(671,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] :
( ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( skc44 @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv13_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( skc44 @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv11_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( skc44 @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv12_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( skc44 @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( skc44 @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( skc44 @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[670]) ).
thf(903,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] :
( ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( skc44 @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv13_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( skc44 @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv11_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( skc44 @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv12_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ $true
| ~ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( skc44 @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( skc44 @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(rewrite,[status(thm)],[671,872]) ).
thf(904,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] :
( ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( skc44 @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv13_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( skc44 @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv11_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( skc44 @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv12_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( skc44 @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( skc44 @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[903]) ).
thf(1177,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] :
( ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( skc44 @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv13_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( skc44 @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv11_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( skc44 @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv12_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ $true
| ~ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( skc44 @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(rewrite,[status(thm)],[904,1158]) ).
thf(1178,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] :
( ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( skc44 @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv13_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( skc44 @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv11_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( skc44 @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv12_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( skc44 @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[1177]) ).
thf(1298,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] :
( ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( skc44 @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv13_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( skc44 @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv11_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( skc44 @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv12_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(rewrite,[status(thm)],[1178,1287]) ).
thf(1299,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] :
( ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( skc44 @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv13_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( skc44 @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv11_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( skc44 @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv12_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[1298]) ).
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] :
( ( 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',clause22) ).
thf(137,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)],[22]) ).
thf(212,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)],[137]) ).
thf(536,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)],[212,329,425,299,114,277,279,281,315,475,287,351,383]) ).
thf(537,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)],[536]) ).
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] :
( ( 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',clause52) ).
thf(105,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)],[52]) ).
thf(224,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)],[105]) ).
thf(1221,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
| ~ $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)],[224,1158,872,329,425,299,114,563,277,279,631,281,315,475,287,351,383,511]) ).
thf(1222,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)],[1221]) ).
thf(1229,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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( 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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(paramod_ordered,[status(thm)],[1160,1222]) ).
thf(1230,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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( 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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[1229]) ).
thf(1231,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: $i] :
( ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[1230:[bind(A,$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(1242,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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[1231]) ).
thf(1243,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] :
( ( ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
!= ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ssNder1_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ $true
| ~ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(paramod_ordered,[status(thm)],[1190,1242]) ).
thf(1244,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] :
( ( ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
!= ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ssNder1_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[1243]) ).
thf(1245,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: $i] :
( ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[1244:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( C )),bind(D,$thf( D )),bind(E,$thf( E )),bind(F,$thf( F )),bind(G,$thf( G )),bind(H,$thf( H )),bind(I,$thf( I )),bind(J,$thf( J )),bind(K,$thf( K )),bind(L,$thf( L )),bind(M,$thf( M )),bind(N,$thf( N )),bind(O,$thf( O )),bind(P,$thf( P )),bind(Q,$thf( Q )),bind(R,$thf( R )),bind(S,$thf( A )),bind(T,$thf( B )),bind(U,$thf( C )),bind(V,$thf( D )),bind(W,$thf( E )),bind(X,$thf( F )),bind(Y,$thf( G )),bind(Z,$thf( H )),bind(ZA,$thf( I )),bind(ZB,$thf( J )),bind(ZC,$thf( K )),bind(ZD,$thf( L )),bind(ZE,$thf( M )),bind(ZF,$thf( N )),bind(ZG,$thf( O )),bind(ZH,$thf( P )),bind(ZI,$thf( Q )),bind(ZJ,$thf( R ))]]) ).
thf(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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( 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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[1245]) ).
thf(1308,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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(rewrite,[status(thm)],[1258,1287]) ).
thf(1309,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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[1308]) ).
thf(67,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] :
( ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv12_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 ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( 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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv11_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 @ ssPv7_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( 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',clause67) ).
thf(159,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] :
( ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv12_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 ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( 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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv11_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 @ ssPv7_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( 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)],[67]) ).
thf(234,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] :
( ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv12_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 ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( 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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv11_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 @ ssPv7_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( 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)],[159]) ).
thf(1406,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] :
( ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv12_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ $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
| ~ $true
| ~ $true
| ~ $true
| ~ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv11_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ $true
| ~ ( 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 @ ssPv7_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( 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)],[234,1158,1287,872,329,425,1289,299,114,563,277,1301,279,631,281,315,475,287,351,383,511]) ).
thf(1407,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] :
( ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv12_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv11_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( 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 @ ssPv7_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( 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)],[1406]) ).
thf(1411,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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ssPv12_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ssPv11_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( 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 @ ssPv7_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ $true
| ~ ( 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)],[1309,1407]) ).
thf(1412,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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ssPv12_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ssPv11_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( 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 @ ssPv7_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( 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)],[1411]) ).
thf(1413,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: $i] :
( ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv12_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv11_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv7_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[1412:[bind(A,$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(1421,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] :
( ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv12_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv11_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( V @ ( 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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[1413]) ).
thf(1425,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] :
( ( ( 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 ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ssPv12_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ $true
| ~ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ssPv11_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ssPv7_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(paramod_ordered,[status(thm)],[537,1421]) ).
thf(1426,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] :
( ( ( 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 ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ssPv12_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ssPv11_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ssPv7_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[1425]) ).
thf(1427,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: $i] :
( ( P @ ( O @ ( N @ ( M @ ( skc38 @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv12_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( Q @ ( P @ ( O @ ( N @ ( M @ ( skc38 @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv11_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( skc38 @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv7_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( skc38 @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[1426:[bind(A,$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(1434,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] :
( ( P @ ( O @ ( N @ ( M @ ( skc38 @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv12_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( Q @ ( P @ ( O @ ( N @ ( M @ ( skc38 @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv11_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( skc38 @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv7_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( skc38 @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[1427]) ).
thf(1440,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] :
( ( ( 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 @ ( skc38 @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ssPv11_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( skc38 @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ssPv12_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ $true
| ~ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( skc38 @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ssPv7_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( skc38 @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( skc44 @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv13_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( skc44 @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv12_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(paramod_ordered,[status(thm)],[1299,1434]) ).
thf(1441,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] :
( ( ( 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 @ ( skc38 @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ssPv11_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( skc38 @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ssPv12_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( skc38 @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ssPv7_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( skc38 @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( skc44 @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv13_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( skc44 @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv12_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[1440]) ).
thf(1442,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: $i] :
( ( O @ ( N @ ( M @ ( L @ ( skc38 @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( skc44 @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv12_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( skc38 @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( skc44 @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv7_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( skc38 @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( skc44 @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( N @ ( M @ ( L @ ( skc38 @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( skc44 @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv13_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( O @ ( N @ ( M @ ( L @ ( skc38 @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( skc44 @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv12_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[1441:[bind(A,$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,$thf( skc38 )),bind(M,$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,$thf( F )),bind(Y,$thf( G )),bind(Z,$thf( H )),bind(ZA,$thf( I )),bind(ZB,$thf( J )),bind(ZC,$thf( K )),bind(ZD,$thf( M )),bind(ZE,$thf( N )),bind(ZF,$thf( O )),bind(ZG,$thf( P )),bind(ZH,$thf( Q ))]]) ).
thf(1443,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 @ ( skc38 @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( skc44 @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv7_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( skc38 @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( skc44 @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( N @ ( M @ ( L @ ( skc38 @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( skc44 @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv13_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( O @ ( N @ ( M @ ( L @ ( skc38 @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( skc44 @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv12_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[1442]) ).
thf(1620,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 @ ( skc38 @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( skc44 @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv7_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ $true
| ( N @ ( M @ ( L @ ( skc38 @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( skc44 @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv13_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( O @ ( N @ ( M @ ( L @ ( skc38 @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( skc44 @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv12_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(rewrite,[status(thm)],[1443,1617]) ).
thf(1621,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 @ ( skc38 @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( skc44 @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv7_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( N @ ( M @ ( L @ ( skc38 @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( skc44 @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv13_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( O @ ( N @ ( M @ ( L @ ( skc38 @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( skc44 @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv12_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[1620]) ).
thf(2016,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] :
( ( ( skc28 @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv7_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
!= ( ZO @ ( ZN @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( skc38 @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( skc44 @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ssPv7_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ $true
| ( ZI @ ( ZH @ ( ZG @ ( skc38 @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( skc44 @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ssPv13_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( skc38 @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( skc44 @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ssPv12_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(paramod_ordered,[status(thm)],[1977,1621]) ).
thf(2017,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] :
( ( ( skc28 @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv7_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
!= ( ZO @ ( ZN @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( skc38 @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( skc44 @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ssPv7_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( ZI @ ( ZH @ ( ZG @ ( skc38 @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( skc44 @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ssPv13_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( skc38 @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( skc44 @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ssPv12_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[2016]) ).
thf(2018,plain,
! [O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( N @ ( M @ ( L @ ( skc38 @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( skc44 @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv13_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( O @ ( N @ ( M @ ( L @ ( skc38 @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( skc44 @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv12_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[2017:[bind(A,$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( 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( U )),bind(V,$thf( A )),bind(W,$thf( B )),bind(X,$thf( C )),bind(Y,$thf( D )),bind(Z,$thf( E )),bind(ZA,$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,$thf( U )),bind(ZO,$thf( skc28 ))]]) ).
thf(2024,plain,
! [O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( N @ ( M @ ( L @ ( skc38 @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( skc44 @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv13_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( O @ ( N @ ( M @ ( L @ ( skc38 @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( skc44 @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv12_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[2018]) ).
thf(65,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] :
( ( E @ ( D @ ( C @ ( B @ ( A @ ssPv24_5r1r1r1r1r1 ) ) ) ) )
| ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv9_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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv12_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 @ ssPv7_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( 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',clause65) ).
thf(125,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] :
( ( E @ ( D @ ( C @ ( B @ ( A @ ssPv24_5r1r1r1r1r1 ) ) ) ) )
| ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv9_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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv12_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 @ ssPv7_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( 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)],[65]) ).
thf(197,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] :
( ( E @ ( D @ ( C @ ( B @ ( A @ ssPv24_5r1r1r1r1r1 ) ) ) ) )
| ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv9_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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv12_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 @ ssPv7_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( 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)],[125]) ).
thf(662,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] :
( ( E @ ( D @ ( C @ ( B @ ( A @ ssPv24_5r1r1r1r1r1 ) ) ) ) )
| ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv9_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ $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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv12_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 @ ssPv7_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( 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)],[197,329,425,299,114,563,277,279,631,281,315,475,287,351,383,511]) ).
thf(663,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] :
( ( E @ ( D @ ( C @ ( B @ ( A @ ssPv24_5r1r1r1r1r1 ) ) ) ) )
| ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv9_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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv12_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 @ ssPv7_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( 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)],[662]) ).
thf(683,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] :
( ( ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
!= ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( W @ ( V @ ( U @ ( T @ ( S @ ssPv24_5r1r1r1r1r1 ) ) ) ) )
| ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ssPv9_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ssPv12_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ $true
| ~ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZN @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ssPv7_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ 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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(paramod_ordered,[status(thm)],[673,663]) ).
thf(684,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] :
( ( ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
!= ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( W @ ( V @ ( U @ ( T @ ( S @ ssPv24_5r1r1r1r1r1 ) ) ) ) )
| ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ssPv9_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ssPv12_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZN @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ssPv7_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ 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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[683]) ).
thf(685,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] :
( ( E @ ( D @ ( C @ ( B @ ( A @ ssPv24_5r1r1r1r1r1 ) ) ) ) )
| ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv9_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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv12_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( 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 @ ssPv7_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( 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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[684:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( C )),bind(D,$thf( D )),bind(E,$thf( E )),bind(F,$thf( F )),bind(G,$thf( G )),bind(H,$thf( H )),bind(I,$thf( I )),bind(J,$thf( J )),bind(K,$thf( K )),bind(L,$thf( L )),bind(M,$thf( M )),bind(N,$thf( N )),bind(O,$thf( O )),bind(P,$thf( P )),bind(Q,$thf( Q )),bind(R,$thf( R )),bind(S,$thf( A )),bind(T,$thf( B )),bind(U,$thf( C )),bind(V,$thf( D )),bind(W,$thf( E )),bind(X,$thf( F )),bind(Y,$thf( G )),bind(Z,$thf( H )),bind(ZA,$thf( I )),bind(ZB,$thf( J )),bind(ZC,$thf( K )),bind(ZD,$thf( L )),bind(ZE,$thf( M )),bind(ZF,$thf( N )),bind(ZG,$thf( O )),bind(ZH,$thf( P )),bind(ZI,$thf( Q )),bind(ZJ,$thf( R ))]]) ).
thf(689,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] :
( ( E @ ( D @ ( C @ ( B @ ( A @ ssPv24_5r1r1r1r1r1 ) ) ) ) )
| ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv9_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv12_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( 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 @ ssPv7_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( 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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[685]) ).
thf(800,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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( X @ ( W @ ( V @ ( U @ ( T @ ssPv24_5r1r1r1r1r1 ) ) ) ) )
| ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ssPv9_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ssPv12_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ $true
| ~ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZO @ ( ZN @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ssPv7_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZN @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ssNder1_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( 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(paramod_ordered,[status(thm)],[773,689]) ).
thf(801,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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( X @ ( W @ ( V @ ( U @ ( T @ ssPv24_5r1r1r1r1r1 ) ) ) ) )
| ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ssPv9_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ssPv12_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZO @ ( ZN @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ssPv7_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZN @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ssNder1_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[800]) ).
thf(802,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] :
( ( E @ ( D @ ( C @ ( B @ ( A @ ssPv24_5r1r1r1r1r1 ) ) ) ) )
| ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv9_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv12_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( 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 @ ssPv7_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( 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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( 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(pattern_uni,[status(thm)],[801:[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(809,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] :
( ( E @ ( D @ ( C @ ( B @ ( A @ ssPv24_5r1r1r1r1r1 ) ) ) ) )
| ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv9_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv12_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( 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 @ ssPv7_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( 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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[802]) ).
thf(1590,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] :
( ( E @ ( D @ ( C @ ( B @ ( A @ ssPv24_5r1r1r1r1r1 ) ) ) ) )
| ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv9_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv12_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( 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 @ ssPv7_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( 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 ),
inference(rewrite,[status(thm)],[809,1158,1287,872]) ).
thf(1591,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] :
( ( E @ ( D @ ( C @ ( B @ ( A @ ssPv24_5r1r1r1r1r1 ) ) ) ) )
| ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv9_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv12_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( 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 @ ssPv7_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( 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)],[1590]) ).
thf(1592,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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( Z @ ( Y @ ( X @ ( W @ ( V @ ssPv24_5r1r1r1r1r1 ) ) ) ) )
| ( ZO @ ( ZN @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ssPv9_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ssPv12_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( 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 @ ssPv7_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ $true
| ~ ( 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)],[1309,1591]) ).
thf(1593,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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( Z @ ( Y @ ( X @ ( W @ ( V @ ssPv24_5r1r1r1r1r1 ) ) ) ) )
| ( ZO @ ( ZN @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ssPv9_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ssPv12_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( 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 @ ssPv7_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( 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)],[1592]) ).
thf(1594,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: $i] :
( ( E @ ( D @ ( C @ ( B @ ( A @ ssPv24_5r1r1r1r1r1 ) ) ) ) )
| ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv9_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv12_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv7_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[1593:[bind(A,$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(1595,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] :
( ( E @ ( D @ ( C @ ( B @ ( A @ ssPv24_5r1r1r1r1r1 ) ) ) ) )
| ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv9_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv12_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( V @ ( 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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[1594]) ).
thf(1648,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] :
( ( E @ ( D @ ( C @ ( B @ ( A @ ssPv24_5r1r1r1r1r1 ) ) ) ) )
| ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv9_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv12_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( 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 ),
inference(rewrite,[status(thm)],[1595,1617]) ).
thf(1649,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] :
( ( E @ ( D @ ( C @ ( B @ ( A @ ssPv24_5r1r1r1r1r1 ) ) ) ) )
| ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv9_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv12_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( V @ ( 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)],[1648]) ).
thf(2042,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] :
( ( ( O @ ( N @ ( M @ ( L @ ( skc38 @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( skc44 @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv12_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
!= ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ssPv12_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( T @ ( S @ ( R @ ( Q @ ( P @ ssPv24_5r1r1r1r1r1 ) ) ) ) )
| ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ssPv9_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ $true
| ~ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ssPv7_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( N @ ( M @ ( L @ ( skc38 @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( skc44 @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv13_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(paramod_ordered,[status(thm)],[2024,1649]) ).
thf(2043,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] :
( ( ( O @ ( N @ ( M @ ( L @ ( skc38 @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( skc44 @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv12_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
!= ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ssPv12_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( T @ ( S @ ( R @ ( Q @ ( P @ ssPv24_5r1r1r1r1r1 ) ) ) ) )
| ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ssPv9_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ssPv7_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( N @ ( M @ ( L @ ( skc38 @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( skc44 @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv13_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[2042]) ).
thf(2044,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: $i] :
( ( E @ ( D @ ( C @ ( B @ ( A @ ssPv24_5r1r1r1r1r1 ) ) ) ) )
| ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( skc38 @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( skc44 @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv9_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( skc38 @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( skc44 @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv7_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( N @ ( M @ ( L @ ( skc38 @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( skc44 @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv13_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[2043:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( C )),bind(D,$thf( D )),bind(E,$thf( E )),bind(F,$thf( F )),bind(G,$thf( G )),bind(H,$thf( H )),bind(I,$thf( I )),bind(J,$thf( J )),bind(K,$thf( K )),bind(L,$thf( L )),bind(M,$thf( M )),bind(N,$thf( N )),bind(O,$thf( O )),bind(P,$thf( A )),bind(Q,$thf( B )),bind(R,$thf( C )),bind(S,$thf( D )),bind(T,$thf( E )),bind(U,$thf( skc44 )),bind(V,$thf( F )),bind(W,$thf( G )),bind(X,$thf( H )),bind(Y,$thf( I )),bind(Z,$thf( J )),bind(ZA,$thf( K )),bind(ZB,$thf( skc38 )),bind(ZC,$thf( L )),bind(ZD,$thf( M )),bind(ZE,$thf( N )),bind(ZF,$thf( O ))]]) ).
thf(2049,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] :
( ( E @ ( D @ ( C @ ( B @ ( A @ ssPv24_5r1r1r1r1r1 ) ) ) ) )
| ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( skc38 @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( skc44 @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv9_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( skc38 @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( skc44 @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv7_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( N @ ( M @ ( L @ ( skc38 @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( skc44 @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv13_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[2044]) ).
thf(2397,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] :
( ( ( skc28 @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv7_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
!= ( ZO @ ( ZN @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( skc38 @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( skc44 @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ssPv7_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( Z @ ( Y @ ( X @ ( W @ ( V @ ssPv24_5r1r1r1r1r1 ) ) ) ) )
| ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( skc38 @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( skc44 @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ssPv9_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ $true
| ( ZI @ ( ZH @ ( ZG @ ( skc38 @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( skc44 @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ssPv13_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(paramod_ordered,[status(thm)],[1977,2049]) ).
thf(2398,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] :
( ( ( skc28 @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv7_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
!= ( ZO @ ( ZN @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( skc38 @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( skc44 @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ssPv7_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( Z @ ( Y @ ( X @ ( W @ ( V @ ssPv24_5r1r1r1r1r1 ) ) ) ) )
| ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( skc38 @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( skc44 @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ssPv9_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( ZI @ ( ZH @ ( ZG @ ( skc38 @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( skc44 @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ssPv13_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[2397]) ).
thf(2399,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: $i] :
( ( E @ ( D @ ( C @ ( B @ ( A @ ssPv24_5r1r1r1r1r1 ) ) ) ) )
| ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( skc38 @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( skc44 @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv9_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( N @ ( M @ ( L @ ( skc38 @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( skc44 @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv13_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[2398:[bind(A,$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( 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( U )),bind(V,$thf( A )),bind(W,$thf( B )),bind(X,$thf( C )),bind(Y,$thf( D )),bind(Z,$thf( E )),bind(ZA,$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,$thf( U )),bind(ZO,$thf( skc28 ))]]) ).
thf(2400,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 ) ) ) ) )
| ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( skc38 @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( skc44 @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv9_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( N @ ( M @ ( L @ ( skc38 @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( skc44 @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv13_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[2399]) ).
thf(32,negated_conjecture,
! [N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( 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',clause32) ).
thf(135,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)],[32]) ).
thf(243,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)],[135]) ).
thf(696,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)],[243,329,425,299,114,563,277,279,281,315,475,287,351,383,511]) ).
thf(697,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)],[696]) ).
thf(42,negated_conjecture,
! [P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) )
| ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv13_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ 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 ) ) ) ) ) ) ) ) ) ) )
| ~ ( 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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause42) ).
thf(101,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] :
( ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) )
| ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv13_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ 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 ) ) ) ) ) ) ) ) ) ) )
| ~ ( 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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[42]) ).
thf(189,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] :
( ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) )
| ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv13_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ 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 ) ) ) ) ) ) ) ) ) ) )
| ~ ( 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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[101]) ).
thf(450,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] :
( ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) )
| ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv13_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ ( C @ ( B @ ( A @ ssPv26_3r1r1r1 ) ) )
| ~ $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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv14_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(rewrite,[status(thm)],[189,114,277,279,281,329,425,299,315,287,351,383]) ).
thf(451,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] :
( ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) )
| ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv13_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( C @ ( B @ ( A @ ssPv26_3r1r1r1 ) ) )
| ~ ( 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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[450]) ).
thf(484,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] :
( ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) )
| ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv13_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( C @ ( B @ ( A @ ssPv26_3r1r1r1 ) ) )
| ~ $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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv14_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(rewrite,[status(thm)],[451,475]) ).
thf(485,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] :
( ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) )
| ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv13_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( C @ ( B @ ( A @ ssPv26_3r1r1r1 ) ) )
| ~ ( 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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[484]) ).
thf(544,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] :
( ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) )
| ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv13_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( C @ ( B @ ( A @ ssPv26_3r1r1r1 ) ) )
| ~ $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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv14_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(rewrite,[status(thm)],[485,511]) ).
thf(545,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] :
( ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) )
| ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv13_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( C @ ( B @ ( A @ ssPv26_3r1r1r1 ) ) )
| ~ ( 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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[544]) ).
thf(37,negated_conjecture,
! [O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ssNder1_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 ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( skc33 @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv13_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause37) ).
thf(103,plain,
! [O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ssNder1_0
| ~ ( A @ ssNder1_1r1 )
| ~ ( B @ ( A @ ssNder1_2r1r1 ) )
| ~ ( C @ ( B @ ( A @ ssNder1_3r1r1r1 ) ) )
| ~ ( D @ ( C @ ( B @ ( A @ ssNder1_4r1r1r1r1 ) ) ) )
| ~ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_5r1r1r1r1r1 ) ) ) ) )
| ~ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_6r1r1r1r1r1r1 ) ) ) ) ) )
| ~ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_7r1r1r1r1r1r1r1 ) ) ) ) ) ) )
| ~ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
| ~ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_9r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) )
| ~ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_10r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) )
| ~ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) )
| ~ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( skc33 @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv13_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[37]) ).
thf(238,plain,
! [O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ 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 ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( skc33 @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv13_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[103]) ).
thf(500,plain,
! [O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $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 ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( skc33 @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv13_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(rewrite,[status(thm)],[238,329,425,299,114,277,279,281,315,475,287,351,383]) ).
thf(501,plain,
! [O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( skc33 @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv13_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[500]) ).
thf(522,plain,
! [O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ $true
| ~ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( skc33 @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv13_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(rewrite,[status(thm)],[501,511]) ).
thf(523,plain,
! [O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( skc33 @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv13_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[522]) ).
thf(546,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] :
( ( ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv13_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
!= ( skc33 @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ssPv13_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ $true
| ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( C @ ( B @ ( A @ ssPv26_3r1r1r1 ) ) )
| ~ ( 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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(paramod_ordered,[status(thm)],[545,523]) ).
thf(547,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] :
( ( ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv13_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
!= ( skc33 @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ssPv13_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( C @ ( B @ ( A @ ssPv26_3r1r1r1 ) ) )
| ~ ( 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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[546]) ).
thf(548,plain,
! [O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( C @ ( B @ ( A @ ssPv26_3r1r1r1 ) ) )
| ~ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv14_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[547:[bind(A,$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,$thf( skc33 )),bind(Q,$thf( A )),bind(R,$thf( B )),bind(S,$thf( C )),bind(T,$thf( D )),bind(U,$thf( E )),bind(V,$thf( F )),bind(W,$thf( G )),bind(X,$thf( H )),bind(Y,$thf( I )),bind(Z,$thf( J )),bind(ZA,$thf( K )),bind(ZB,$thf( L )),bind(ZC,$thf( M )),bind(ZD,$thf( N )),bind(ZE,$thf( O ))]]) ).
thf(552,plain,
! [O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( C @ ( B @ ( A @ ssPv26_3r1r1r1 ) ) )
| ~ ( 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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[548]) ).
thf(570,plain,
! [O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( C @ ( B @ ( A @ ssPv26_3r1r1r1 ) ) )
| ~ $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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv14_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(rewrite,[status(thm)],[552,563]) ).
thf(571,plain,
! [O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( C @ ( B @ ( A @ ssPv26_3r1r1r1 ) ) )
| ~ ( 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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[570]) ).
thf(654,plain,
! [O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( C @ ( B @ ( A @ ssPv26_3r1r1r1 ) ) )
| ~ $true
| ~ ( 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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(rewrite,[status(thm)],[571,631]) ).
thf(655,plain,
! [O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( C @ ( B @ ( A @ ssPv26_3r1r1r1 ) ) )
| ~ ( 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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[654]) ).
thf(698,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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( Q @ ( P @ ( O @ ssPv26_3r1r1r1 ) ) )
| ~ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[697,655]) ).
thf(699,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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( Q @ ( P @ ( O @ ssPv26_3r1r1r1 ) ) )
| ~ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[698]) ).
thf(700,plain,
! [N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( C @ ( B @ ( A @ ssPv26_3r1r1r1 ) ) )
| ~ ( skc34 @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[699:[bind(A,$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(897,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 @ ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( C @ ( B @ ( A @ ssPv26_3r1r1r1 ) ) )
| ~ $true ),
inference(rewrite,[status(thm)],[700,872]) ).
thf(898,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 @ ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( C @ ( B @ ( A @ ssPv26_3r1r1r1 ) ) ) ),
inference(simp,[status(thm)],[897]) ).
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(142,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(193,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)],[142]) ).
thf(322,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)],[193,114,277,279,281,299,287]) ).
thf(323,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)],[322]) ).
thf(55,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] :
( ( H @ ( 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 ) ) ) ) ) )
| ~ ( 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 ) ) ) ) ) ) ) ) )
| ~ ( 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 ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv9_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause55) ).
thf(167,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] :
( ( H @ ( 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 ) ) ) ) ) )
| ~ ( 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 ) ) ) ) ) ) ) ) )
| ~ ( 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 ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv9_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[55]) ).
thf(244,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] :
( ( H @ ( 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 ) ) ) ) ) )
| ~ ( 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 ) ) ) ) ) ) ) ) )
| ~ ( 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 ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv9_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[167]) ).
thf(1725,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] :
( ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv21_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv22_7r1r1r1r1r1r1r1 ) ) ) ) ) ) )
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) )
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv9_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(rewrite,[status(thm)],[244,1158,1287,872,329,425,1289,299,114,563,277,1301,279,631,281,315,475,287,351,383,511]) ).
thf(1726,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] :
( ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv21_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
| ~ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv22_7r1r1r1r1r1r1r1 ) ) ) ) ) ) )
| ~ ( 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 @ ssPv9_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[1725]) ).
thf(1733,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] :
( ( ( skc42 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv22_7r1r1r1r1r1r1r1 ) ) ) ) ) ) )
!= ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ssPv22_7r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
| ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ssPv21_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
| ~ $true
| ~ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ssPv9_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(paramod_ordered,[status(thm)],[323,1726]) ).
thf(1734,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] :
( ( ( skc42 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv22_7r1r1r1r1r1r1r1 ) ) ) ) ) ) )
!= ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ssPv22_7r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
| ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ssPv21_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
| ~ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ssPv9_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[1733]) ).
thf(1735,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: $i] :
( ( G @ ( skc42 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv21_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
| ~ ( K @ ( J @ ( I @ ( H @ ( G @ ( skc42 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( skc42 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv9_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[1734:[bind(A,$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(1737,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] :
( ( G @ ( skc42 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv21_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
| ~ ( K @ ( J @ ( I @ ( H @ ( G @ ( skc42 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( skc42 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv9_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[1735]) ).
thf(1741,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] :
( ( ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) )
!= ( W @ ( V @ ( U @ ( T @ ( S @ ( skc42 @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) )
| ( S @ ( skc42 @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ssPv21_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
| ~ $true
| ~ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( skc42 @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ssPv9_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( C @ ( B @ ( A @ ssPv26_3r1r1r1 ) ) ) ),
inference(paramod_ordered,[status(thm)],[898,1737]) ).
thf(1742,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] :
( ( ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) )
!= ( W @ ( V @ ( U @ ( T @ ( S @ ( skc42 @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) )
| ( S @ ( skc42 @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ssPv21_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
| ~ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( skc42 @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ssPv9_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( C @ ( B @ ( A @ ssPv26_3r1r1r1 ) ) ) ),
inference(simp,[status(thm)],[1741]) ).
thf(1743,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: $i] :
( ( G @ ( skc42 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv21_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
| ~ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( skc42 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv9_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( C @ ( B @ ( A @ ssPv26_3r1r1r1 ) ) ) ),
inference(pattern_uni,[status(thm)],[1742:[bind(A,$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( skc42 )),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( H )),bind(T,$thf( I )),bind(U,$thf( J )),bind(V,$thf( K )),bind(W,$thf( L ))]]) ).
thf(1745,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] :
( ( G @ ( skc42 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv21_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
| ~ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( skc42 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv9_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( C @ ( B @ ( A @ ssPv26_3r1r1r1 ) ) ) ),
inference(simp,[status(thm)],[1743]) ).
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] :
( ( 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',clause27) ).
thf(140,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)],[27]) ).
thf(239,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)],[140]) ).
thf(596,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)],[239,329,425,299,114,277,279,281,315,475,287,351,383,511]) ).
thf(597,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)],[596]) ).
thf(35,negated_conjecture,
! [N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( A @ ssPv26_3r1r1r1 ) ) )
| ( D @ ( C @ ( B @ ( A @ ssPv25_4r1r1r1r1 ) ) ) )
| ~ 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 ) ) ) ) ) ) ) ) ) ) )
| ~ ( 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',clause35) ).
thf(154,plain,
! [N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( A @ ssPv26_3r1r1r1 ) ) )
| ( D @ ( C @ ( B @ ( A @ ssPv25_4r1r1r1r1 ) ) ) )
| ~ 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 ) ) ) ) ) ) ) ) ) ) )
| ~ ( 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)],[35]) ).
thf(254,plain,
! [N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( A @ ssPv26_3r1r1r1 ) ) )
| ( D @ ( C @ ( B @ ( A @ ssPv25_4r1r1r1r1 ) ) ) )
| ~ 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 ) ) ) ) ) ) ) ) ) ) )
| ~ ( 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)],[154]) ).
thf(727,plain,
! [N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( A @ ssPv26_3r1r1r1 ) ) )
| ( D @ ( C @ ( B @ ( A @ ssPv25_4r1r1r1r1 ) ) ) )
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv23_6r1r1r1r1r1r1 ) ) ) ) ) )
| ~ $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)],[254,329,425,299,114,563,277,279,281,315,475,287,351,383,511]) ).
thf(728,plain,
! [N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( A @ ssPv26_3r1r1r1 ) ) )
| ( D @ ( C @ ( B @ ( A @ ssPv25_4r1r1r1r1 ) ) ) )
| ~ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv23_6r1r1r1r1r1r1 ) ) ) ) ) )
| ~ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv15_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[727]) ).
thf(729,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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( P @ ( O @ ( N @ ssPv26_3r1r1r1 ) ) )
| ( Q @ ( P @ ( O @ ( N @ ssPv25_4r1r1r1r1 ) ) ) )
| ~ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ssPv23_6r1r1r1r1r1r1 ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[597,728]) ).
thf(730,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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( P @ ( O @ ( N @ ssPv26_3r1r1r1 ) ) )
| ( Q @ ( P @ ( O @ ( N @ ssPv25_4r1r1r1r1 ) ) ) )
| ~ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ssPv23_6r1r1r1r1r1r1 ) ) ) ) ) ) ),
inference(simp,[status(thm)],[729]) ).
thf(731,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( A @ ssPv26_3r1r1r1 ) ) )
| ( D @ ( C @ ( B @ ( A @ ssPv25_4r1r1r1r1 ) ) ) )
| ~ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv23_6r1r1r1r1r1r1 ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[730:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( C )),bind(D,$thf( D )),bind(E,$thf( E )),bind(F,$thf( F )),bind(G,$thf( 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(736,plain,
! [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 ) ) ) ) ) ) )
| ( H @ ( G @ ( F @ ssPv26_3r1r1r1 ) ) )
| ( I @ ( H @ ( G @ ( F @ ssPv25_4r1r1r1r1 ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[303,731]) ).
thf(737,plain,
! [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 ) ) ) ) ) ) )
| ( H @ ( G @ ( F @ ssPv26_3r1r1r1 ) ) )
| ( I @ ( H @ ( G @ ( F @ ssPv25_4r1r1r1r1 ) ) ) ) ),
inference(simp,[status(thm)],[736]) ).
thf(738,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( A @ ssPv26_3r1r1r1 ) ) )
| ( D @ ( C @ ( B @ ( A @ ssPv25_4r1r1r1r1 ) ) ) ) ),
inference(pattern_uni,[status(thm)],[737:[bind(A,$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(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] :
( ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv21_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
| ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv20_9r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) )
| ~ 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 ) ) ) ) ) ) ) ) ) ) )
| ~ ( 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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv7_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( 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(112,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] :
( ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv21_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
| ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv20_9r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) )
| ~ 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 ) ) ) ) ) ) ) ) ) ) )
| ~ ( 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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv7_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( 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(246,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] :
( ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv21_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
| ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv20_9r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) )
| ~ 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 ) ) ) ) ) ) ) ) ) ) )
| ~ ( 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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv7_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( 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)],[112]) ).
thf(1662,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)],[1309,1617]) ).
thf(1663,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)],[1662]) ).
thf(1779,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] :
( ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv21_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
| ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv20_9r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) )
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ ( D @ ( C @ ( B @ ( A @ ssPv25_4r1r1r1r1 ) ) ) )
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $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 ),
inference(rewrite,[status(thm)],[246,1158,1287,872,329,425,1289,299,1617,114,563,277,1301,279,631,281,315,475,287,351,383,511,1663]) ).
thf(1780,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] :
( ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv21_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
| ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv20_9r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) )
| ~ ( D @ ( C @ ( B @ ( A @ ssPv25_4r1r1r1r1 ) ) ) )
| ~ ( V @ ( 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)],[1779]) ).
thf(1781,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] :
( ( ( D @ ( C @ ( B @ ( A @ ssPv25_4r1r1r1r1 ) ) ) )
!= ( H @ ( G @ ( F @ ( E @ ssPv25_4r1r1r1r1 ) ) ) ) )
| ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ssPv21_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
| ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ssPv20_9r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) )
| ~ $true
| ~ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ssPv7_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( C @ ( B @ ( A @ ssPv26_3r1r1r1 ) ) ) ),
inference(paramod_ordered,[status(thm)],[738,1780]) ).
thf(1782,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] :
( ( ( D @ ( C @ ( B @ ( A @ ssPv25_4r1r1r1r1 ) ) ) )
!= ( H @ ( G @ ( F @ ( E @ ssPv25_4r1r1r1r1 ) ) ) ) )
| ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ssPv21_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
| ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ssPv20_9r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) )
| ~ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ssPv7_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( C @ ( B @ ( A @ ssPv26_3r1r1r1 ) ) ) ),
inference(simp,[status(thm)],[1781]) ).
thf(1783,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: $i] :
( ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv21_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
| ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv20_9r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) )
| ~ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv7_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( C @ ( B @ ( A @ ssPv26_3r1r1r1 ) ) ) ),
inference(pattern_uni,[status(thm)],[1782:[bind(A,$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(1784,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] :
( ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv21_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
| ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv20_9r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) )
| ~ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv7_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( C @ ( B @ ( A @ ssPv26_3r1r1r1 ) ) ) ),
inference(simp,[status(thm)],[1783]) ).
thf(2001,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] :
( ( ( 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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ssPv21_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
| ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ssPv20_9r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) )
| ~ $true
| ( X @ ( W @ ( V @ ssPv26_3r1r1r1 ) ) ) ),
inference(paramod_ordered,[status(thm)],[1977,1784]) ).
thf(2002,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] :
( ( ( 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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ssPv21_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
| ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ssPv20_9r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) )
| ( X @ ( W @ ( V @ ssPv26_3r1r1r1 ) ) ) ),
inference(simp,[status(thm)],[2001]) ).
thf(2003,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv21_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
| ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv20_9r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) )
| ( C @ ( B @ ( A @ ssPv26_3r1r1r1 ) ) ) ),
inference(pattern_uni,[status(thm)],[2002:[bind(A,$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(24,negated_conjecture,
! [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 ) ) ) ) ) )
| ~ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv23_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 ) ) ) ) ) ) ) )
| ~ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv19_10r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) )
| ~ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_9r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) )
| ~ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv20_9r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause24) ).
thf(102,plain,
! [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 ) ) ) ) ) )
| ~ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv23_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 ) ) ) ) ) ) ) )
| ~ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv19_10r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) )
| ~ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_9r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) )
| ~ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv20_9r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).
thf(210,plain,
! [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 ) ) ) ) ) )
| ~ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv23_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 ) ) ) ) ) ) ) )
| ~ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv19_10r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) )
| ~ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_9r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) )
| ~ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv20_9r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[102]) ).
thf(338,plain,
! [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
| ~ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv23_6r1r1r1r1r1r1 ) ) ) ) ) )
| ~ $true
| ~ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv22_7r1r1r1r1r1r1r1 ) ) ) ) ) ) )
| ~ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
| ~ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv19_10r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) )
| ~ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_9r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) )
| ~ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv20_9r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ),
inference(rewrite,[status(thm)],[210,114,277,279,281,329,299,315,287]) ).
thf(339,plain,
! [J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv23_6r1r1r1r1r1r1 ) ) ) ) ) )
| ~ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv22_7r1r1r1r1r1r1r1 ) ) ) ) ) ) )
| ~ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
| ~ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv19_10r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) )
| ~ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_9r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) )
| ~ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv20_9r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[338]) ).
thf(343,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] :
( ( ( skc42 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv22_7r1r1r1r1r1r1r1 ) ) ) ) ) ) )
!= ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ssPv22_7r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
| ~ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ssPv23_6r1r1r1r1r1r1 ) ) ) ) ) )
| ~ $true
| ~ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ssNder1_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
| ~ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ssPv19_10r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) )
| ~ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ssNder1_9r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) )
| ~ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ssPv20_9r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ),
inference(paramod_ordered,[status(thm)],[323,339]) ).
thf(344,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] :
( ( ( skc42 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv22_7r1r1r1r1r1r1r1 ) ) ) ) ) ) )
!= ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ssPv22_7r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
| ~ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ssPv23_6r1r1r1r1r1r1 ) ) ) ) ) )
| ~ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ssNder1_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
| ~ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ssPv19_10r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) )
| ~ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ssNder1_9r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) )
| ~ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ssPv20_9r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[343]) ).
thf(345,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv23_6r1r1r1r1r1r1 ) ) ) ) ) )
| ~ ( G @ ( skc42 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
| ~ ( I @ ( H @ ( G @ ( skc42 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv19_10r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) )
| ~ ( H @ ( G @ ( skc42 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_9r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) )
| ~ ( H @ ( G @ ( skc42 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv20_9r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[344:[bind(A,$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(347,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv23_6r1r1r1r1r1r1 ) ) ) ) ) )
| ~ ( G @ ( skc42 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
| ~ ( I @ ( H @ ( G @ ( skc42 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv19_10r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) )
| ~ ( H @ ( G @ ( skc42 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_9r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) )
| ~ ( H @ ( G @ ( skc42 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv20_9r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[345]) ).
thf(356,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv23_6r1r1r1r1r1r1 ) ) ) ) ) )
| ~ $true
| ~ ( I @ ( H @ ( G @ ( skc42 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv19_10r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) )
| ~ ( H @ ( G @ ( skc42 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_9r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) )
| ~ ( H @ ( G @ ( skc42 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv20_9r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ),
inference(rewrite,[status(thm)],[347,351]) ).
thf(357,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv23_6r1r1r1r1r1r1 ) ) ) ) ) )
| ~ ( I @ ( H @ ( G @ ( skc42 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv19_10r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) )
| ~ ( H @ ( G @ ( skc42 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_9r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) )
| ~ ( H @ ( G @ ( skc42 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv20_9r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[356]) ).
thf(358,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] :
( ( ( skc44 @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv23_6r1r1r1r1r1r1 ) ) ) ) ) )
!= ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ssPv23_6r1r1r1r1r1r1 ) ) ) ) ) ) )
| ~ $true
| ~ ( N @ ( M @ ( L @ ( skc42 @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ssPv19_10r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) )
| ~ ( M @ ( L @ ( skc42 @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ssNder1_9r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) )
| ~ ( M @ ( L @ ( skc42 @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ssPv20_9r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ),
inference(paramod_ordered,[status(thm)],[303,357]) ).
thf(359,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] :
( ( ( skc44 @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv23_6r1r1r1r1r1r1 ) ) ) ) ) )
!= ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ssPv23_6r1r1r1r1r1r1 ) ) ) ) ) ) )
| ~ ( N @ ( M @ ( L @ ( skc42 @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ssPv19_10r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) )
| ~ ( M @ ( L @ ( skc42 @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ssNder1_9r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) )
| ~ ( M @ ( L @ ( skc42 @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ssPv20_9r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[358]) ).
thf(360,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( H @ ( G @ ( F @ ( skc42 @ ( skc44 @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv19_10r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) )
| ~ ( G @ ( F @ ( skc42 @ ( skc44 @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_9r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) )
| ~ ( G @ ( F @ ( skc42 @ ( skc44 @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv20_9r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[359:[bind(A,$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(361,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( H @ ( G @ ( F @ ( skc42 @ ( skc44 @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv19_10r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) )
| ~ ( G @ ( F @ ( skc42 @ ( skc44 @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_9r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) )
| ~ ( G @ ( F @ ( skc42 @ ( skc44 @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv20_9r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[360]) ).
thf(390,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( H @ ( G @ ( F @ ( skc42 @ ( skc44 @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv19_10r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) )
| ~ $true
| ~ ( G @ ( F @ ( skc42 @ ( skc44 @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv20_9r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ),
inference(rewrite,[status(thm)],[361,383]) ).
thf(391,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( H @ ( G @ ( F @ ( skc42 @ ( skc44 @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv19_10r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) )
| ~ ( G @ ( F @ ( skc42 @ ( skc44 @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv20_9r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[390]) ).
thf(64,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] :
( ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv19_10r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) )
| ( 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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( 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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv12_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',clause64) ).
thf(133,plain,
! [V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv19_10r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) )
| ( 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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( 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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv12_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)],[64]) ).
thf(207,plain,
! [V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv19_10r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) )
| ( 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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( 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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv12_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)],[133]) ).
thf(817,plain,
! [V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv19_10r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) )
| ( 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
| ~ $true
| ~ $true
| ~ ( 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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv12_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)],[207,329,425,299,114,563,277,279,631,281,315,475,287,351,383,511]) ).
thf(818,plain,
! [V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv19_10r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) )
| ( 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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( 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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv12_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)],[817]) ).
thf(54,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',clause54) ).
thf(143,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)],[54]) ).
thf(256,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)],[143]) ).
thf(556,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
| ~ ( 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(rewrite,[status(thm)],[256,329,425,299,114,277,279,281,315,475,287,351,383,511]) ).
thf(557,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] :
( ~ ( 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(simp,[status(thm)],[556]) ).
thf(578,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
| ~ ( 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(rewrite,[status(thm)],[557,563]) ).
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] :
( ~ ( 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(simp,[status(thm)],[578]) ).
thf(646,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
| ~ ( 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)],[579,631]) ).
thf(647,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)],[646]) ).
thf(677,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] :
( ( ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
!= ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ $true
| ~ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( skc29 @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ 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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(paramod_ordered,[status(thm)],[673,647]) ).
thf(678,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] :
( ( ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
!= ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( skc29 @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ 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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[677]) ).
thf(679,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: $i] :
( ~ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( skc29 @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv7_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[678:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( C )),bind(D,$thf( D )),bind(E,$thf( E )),bind(F,$thf( F )),bind(G,$thf( G )),bind(H,$thf( H )),bind(I,$thf( I )),bind(J,$thf( J )),bind(K,$thf( K )),bind(L,$thf( L )),bind(M,$thf( M )),bind(N,$thf( N )),bind(O,$thf( O )),bind(P,$thf( P )),bind(Q,$thf( Q )),bind(R,$thf( R )),bind(S,$thf( A )),bind(T,$thf( B )),bind(U,$thf( C )),bind(V,$thf( D )),bind(W,$thf( E )),bind(X,$thf( F )),bind(Y,$thf( G )),bind(Z,$thf( H )),bind(ZA,$thf( I )),bind(ZB,$thf( J )),bind(ZC,$thf( K )),bind(ZD,$thf( L )),bind(ZE,$thf( M )),bind(ZF,$thf( N )),bind(ZG,$thf( O )),bind(ZH,$thf( P )),bind(ZI,$thf( Q )),bind(ZJ,$thf( R ))]]) ).
thf(687,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] :
( ~ ( 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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[679]) ).
thf(785,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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ $true
| ~ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( skc29 @ ( ZN @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ssPv7_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( 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(paramod_ordered,[status(thm)],[773,687]) ).
thf(786,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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( skc29 @ ( ZN @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ssPv7_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[785]) ).
thf(787,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: $i] :
( ~ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( skc29 @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv7_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[786:[bind(A,$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(810,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] :
( ~ ( 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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[787]) ).
thf(822,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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZP @ ( ZO @ ( ZN @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ $true
| ~ ( 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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv19_10r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) )
| ~ ( 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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv12_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(paramod_ordered,[status(thm)],[818,810]) ).
thf(823,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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZP @ ( ZO @ ( ZN @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( 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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv19_10r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) )
| ~ ( 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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv12_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)],[822]) ).
thf(824,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] :
( ~ ( 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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv19_10r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) )
| ~ ( 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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv12_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(pattern_uni,[status(thm)],[823:[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(844,plain,
! [U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv19_10r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) )
| ~ ( 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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv12_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)],[824]) ).
thf(1606,plain,
! [U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv19_10r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) )
| ~ $true
| ~ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv14_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ $true
| ~ $true
| ~ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv12_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ $true
| ~ $true
| ~ ( 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)],[844,1301,1158,1287,872,1289]) ).
thf(1607,plain,
! [U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv19_10r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) )
| ~ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv14_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv12_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( 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)],[1606]) ).
thf(1611,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] :
( ( ( 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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ssPv19_10r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) )
| ~ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ssPv14_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ssPv12_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZO @ ( ZN @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ $true
| ~ ( 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)],[1309,1607]) ).
thf(1612,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] :
( ( ( 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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ssPv19_10r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) )
| ~ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ssPv14_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ssPv12_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ZO @ ( ZN @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( 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)],[1611]) ).
thf(1613,plain,
! [T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv19_10r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) )
| ~ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv14_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv12_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[1612:[bind(A,$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(1615,plain,
! [T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv19_10r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) )
| ~ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv14_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv12_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( 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)],[1613]) ).
thf(1821,plain,
! [Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv19_10r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) )
| ~ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv14_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv12_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(rewrite,[status(thm)],[1615,1617]) ).
thf(1822,plain,
! [Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv19_10r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) )
| ~ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv14_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv12_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[1821]) ).
thf(1823,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] :
( ( ( 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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ssPv19_10r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) )
| ~ $true
| ~ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ssPv12_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(paramod_ordered,[status(thm)],[697,1822]) ).
thf(1824,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] :
( ( ( 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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ssPv19_10r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) )
| ~ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ssPv12_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[1823]) ).
thf(1825,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: $i] :
( ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv19_10r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) )
| ~ ( P @ ( O @ ( skc34 @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv12_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[1824:[bind(A,$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(1826,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] :
( ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv19_10r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) )
| ~ ( P @ ( O @ ( skc34 @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv12_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[1825]) ).
thf(2039,plain,
! [ZE: $i,ZD: $i,ZC: $i,ZB: $i,ZA: $i,Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( O @ ( N @ ( M @ ( L @ ( skc38 @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( skc44 @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv12_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
!= ( ZE @ ( ZD @ ( skc34 @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ssPv12_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ssPv19_10r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) )
| ~ $true
| ( N @ ( M @ ( L @ ( skc38 @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( skc44 @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv13_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(paramod_ordered,[status(thm)],[2024,1826]) ).
thf(2040,plain,
! [ZE: $i,ZD: $i,ZC: $i,ZB: $i,ZA: $i,Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( O @ ( N @ ( M @ ( L @ ( skc38 @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( skc44 @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv12_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
!= ( ZE @ ( ZD @ ( skc34 @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ssPv12_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ssPv19_10r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) )
| ( N @ ( M @ ( L @ ( skc38 @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( skc44 @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv13_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[2039]) ).
thf(2041,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: $i] :
( ( I @ ( H @ ( G @ ( F @ ( skc44 @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv19_10r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) )
| ( M @ ( skc34 @ ( L @ ( skc38 @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( skc44 @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv13_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[2040:[bind(A,$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,$thf( A )),bind(Q,$thf( B )),bind(R,$thf( C )),bind(S,$thf( D )),bind(T,$thf( E )),bind(U,$thf( skc44 )),bind(V,$thf( F )),bind(W,$thf( G )),bind(X,$thf( H )),bind(Y,$thf( I )),bind(Z,$thf( J )),bind(ZA,$thf( K )),bind(ZB,$thf( skc38 )),bind(ZC,$thf( L )),bind(ZD,$thf( N )),bind(ZE,$thf( O ))]]) ).
thf(2048,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 @ ( skc44 @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv19_10r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) )
| ( M @ ( skc34 @ ( L @ ( skc38 @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( skc44 @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv13_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[2041]) ).
thf(564,plain,
! [O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ $true
| ~ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( skc33 @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv13_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(rewrite,[status(thm)],[523,563]) ).
thf(565,plain,
! [O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( skc33 @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv13_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[564]) ).
thf(632,plain,
! [O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ $true
| ~ ( skc33 @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv13_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(rewrite,[status(thm)],[565,631]) ).
thf(633,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] :
~ ( skc33 @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv13_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[632]) ).
thf(2191,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] :
( ( ( M @ ( skc34 @ ( L @ ( skc38 @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( skc44 @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv13_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
!= ( skc33 @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ssPv13_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ $true
| ( I @ ( H @ ( G @ ( F @ ( skc44 @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv19_10r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ),
inference(paramod_ordered,[status(thm)],[2048,633]) ).
thf(2192,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] :
( ( ( M @ ( skc34 @ ( L @ ( skc38 @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( skc44 @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv13_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
!= ( skc33 @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ssPv13_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( I @ ( H @ ( G @ ( F @ ( skc44 @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv19_10r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[2191]) ).
thf(2193,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] : ( I @ ( H @ ( G @ ( F @ ( skc44 @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv19_10r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[2192:[bind(A,$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( skc33 )),bind(N,$thf( A )),bind(O,$thf( B )),bind(P,$thf( C )),bind(Q,$thf( D )),bind(R,$thf( E )),bind(S,$thf( skc44 )),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,$thf( skc38 )),bind(ZA,$thf( L )),bind(ZB,$thf( skc34 ))]]) ).
thf(2196,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ $true
| ~ ( G @ ( F @ ( skc42 @ ( skc44 @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv20_9r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ),
inference(rewrite,[status(thm)],[391,2193]) ).
thf(2197,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
~ ( G @ ( F @ ( skc42 @ ( skc44 @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv20_9r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[2196]) ).
thf(2228,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 ) ) ) ) ) ) ) ) ) )
| ~ $true
| ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv21_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
| ( C @ ( B @ ( A @ ssPv26_3r1r1r1 ) ) ) ),
inference(paramod_ordered,[status(thm)],[2003,2197]) ).
thf(2229,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 ) ) ) ) ) ) ) ) ) )
| ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv21_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
| ( C @ ( B @ ( A @ ssPv26_3r1r1r1 ) ) ) ),
inference(simp,[status(thm)],[2228]) ).
thf(2230,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( F @ ( skc42 @ ( skc44 @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv21_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
| ( C @ ( B @ ( A @ ssPv26_3r1r1r1 ) ) ) ),
inference(pattern_uni,[status(thm)],[2229:[bind(A,$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(2236,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( F @ ( skc42 @ ( skc44 @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv21_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
| ( C @ ( B @ ( A @ ssPv26_3r1r1r1 ) ) ) ),
inference(simp,[status(thm)],[2230]) ).
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(160,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(211,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)],[160]) ).
thf(310,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_6r1r1r1r1r1r1 ) ) ) ) ) )
| ~ ( skc41 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv21_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ),
inference(rewrite,[status(thm)],[211,114,277,279,281,299,287]) ).
thf(311,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssNder1_6r1r1r1r1r1r1 ) ) ) ) ) )
| ~ ( skc41 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv21_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[310]) ).
thf(316,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ $true
| ~ ( skc41 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv21_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ),
inference(rewrite,[status(thm)],[311,315]) ).
thf(317,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)],[316]) ).
thf(2240,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
| ( C @ ( B @ ( A @ ssPv26_3r1r1r1 ) ) ) ),
inference(paramod_ordered,[status(thm)],[2236,317]) ).
thf(2241,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 ) ) ) ) ) ) ) ) )
| ( C @ ( B @ ( A @ ssPv26_3r1r1r1 ) ) ) ),
inference(simp,[status(thm)],[2240]) ).
thf(2242,plain,
! [C: $i,B: $i,A: $i] : ( C @ ( B @ ( A @ ssPv26_3r1r1r1 ) ) ),
inference(pattern_uni,[status(thm)],[2241:[bind(A,$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(2265,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] :
( ( G @ ( skc42 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv21_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
| ~ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( skc42 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv9_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(rewrite,[status(thm)],[1745,2242]) ).
thf(2266,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] :
( ( G @ ( skc42 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv21_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
| ~ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( skc42 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv9_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[2265]) ).
thf(2430,plain,
! [ZK: $i,ZJ: $i,ZI: $i,ZH: $i,ZG: $i,ZF: $i,ZE: $i,ZD: $i,ZC: $i,ZB: $i,ZA: $i,Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( skc38 @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( skc44 @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv9_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
!= ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( skc42 @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ssPv9_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( Y @ ( skc42 @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ssPv21_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
| ~ $true
| ( E @ ( D @ ( C @ ( B @ ( A @ ssPv24_5r1r1r1r1r1 ) ) ) ) )
| ( N @ ( M @ ( L @ ( skc38 @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( skc44 @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv13_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(paramod_ordered,[status(thm)],[2400,2266]) ).
thf(2431,plain,
! [ZK: $i,ZJ: $i,ZI: $i,ZH: $i,ZG: $i,ZF: $i,ZE: $i,ZD: $i,ZC: $i,ZB: $i,ZA: $i,Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( skc38 @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( skc44 @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv9_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
!= ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( skc42 @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ssPv9_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( Y @ ( skc42 @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ssPv21_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
| ( E @ ( D @ ( C @ ( B @ ( A @ ssPv24_5r1r1r1r1r1 ) ) ) ) )
| ( N @ ( M @ ( L @ ( skc38 @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( skc44 @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv13_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[2430]) ).
thf(2432,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: $i] :
( ( F @ ( skc42 @ ( skc44 @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv21_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
| ( E @ ( D @ ( C @ ( B @ ( A @ ssPv24_5r1r1r1r1r1 ) ) ) ) )
| ( M @ ( L @ ( K @ ( skc38 @ ( J @ ( I @ ( H @ ( G @ ( F @ ( skc42 @ ( skc44 @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv13_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[2431:[bind(A,$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,$thf( R )),bind(S,$thf( A )),bind(T,$thf( B )),bind(U,$thf( C )),bind(V,$thf( D )),bind(W,$thf( E )),bind(X,$thf( skc44 )),bind(Y,$thf( G )),bind(Z,$thf( H )),bind(ZA,$thf( I )),bind(ZB,$thf( J )),bind(ZC,$thf( K )),bind(ZD,$thf( skc38 )),bind(ZE,$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 ))]]) ).
thf(2433,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 ) ) ) ) ) ) ) )
| ( E @ ( D @ ( C @ ( B @ ( A @ ssPv24_5r1r1r1r1r1 ) ) ) ) )
| ( M @ ( L @ ( K @ ( skc38 @ ( J @ ( I @ ( H @ ( G @ ( F @ ( skc42 @ ( skc44 @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv13_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[2432]) ).
thf(2435,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] :
( ( ( M @ ( L @ ( K @ ( skc38 @ ( J @ ( I @ ( H @ ( G @ ( F @ ( skc42 @ ( skc44 @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv13_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
!= ( skc33 @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ssPv13_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ $true
| ( F @ ( skc42 @ ( skc44 @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv21_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
| ( E @ ( D @ ( C @ ( B @ ( A @ ssPv24_5r1r1r1r1r1 ) ) ) ) ) ),
inference(paramod_ordered,[status(thm)],[2433,633]) ).
thf(2436,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] :
( ( ( M @ ( L @ ( K @ ( skc38 @ ( J @ ( I @ ( H @ ( G @ ( F @ ( skc42 @ ( skc44 @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv13_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
!= ( skc33 @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ssPv13_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( F @ ( skc42 @ ( skc44 @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv21_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
| ( E @ ( D @ ( C @ ( B @ ( A @ ssPv24_5r1r1r1r1r1 ) ) ) ) ) ),
inference(simp,[status(thm)],[2435]) ).
thf(2437,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( F @ ( skc42 @ ( skc44 @ ( E @ ( D @ ( C @ ( B @ ( A @ ssPv21_8r1r1r1r1r1r1r1r1 ) ) ) ) ) ) ) )
| ( E @ ( D @ ( C @ ( B @ ( A @ ssPv24_5r1r1r1r1r1 ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[2436:[bind(A,$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( skc33 )),bind(N,$thf( A )),bind(O,$thf( B )),bind(P,$thf( C )),bind(Q,$thf( D )),bind(R,$thf( E )),bind(S,$thf( skc44 )),bind(T,$thf( skc42 )),bind(U,$thf( F )),bind(V,$thf( G )),bind(W,$thf( H )),bind(X,$thf( I )),bind(Y,$thf( J )),bind(Z,$thf( skc38 )),bind(ZA,$thf( K )),bind(ZB,$thf( L ))]]) ).
thf(2438,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)],[2437,317]) ).
thf(2439,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)],[2438]) ).
thf(2440,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] : ( E @ ( D @ ( C @ ( B @ ( A @ ssPv24_5r1r1r1r1r1 ) ) ) ) ),
inference(pattern_uni,[status(thm)],[2439:[bind(A,$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(2452,plain,
~ $true,
inference(rewrite,[status(thm)],[283,2440]) ).
thf(2453,plain,
$false,
inference(simp,[status(thm)],[2452]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN881-1 : 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
% 0.11/0.38 % Computer : n006.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sat Sep 26 18:43:40 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39
% 0.85/0.98 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.89/1.36 % [INFO] Parsing done (372ms).
% 1.89/1.37 % [INFO] Running in sequential loop mode.
% 3.18/1.76 % [INFO] eprover registered as external prover.
% 3.18/1.76 % [INFO] Scanning for conjecture ...
% 5.02/2.53 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 7.01/3.24 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 7.01/3.24 % [INFO] Problem is propositional (TPTP CNF).
% 7.01/3.25 % [INFO] Type checking passed.
% 7.01/3.25 % [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 ...
% 54.22/24.30 % [INFO] Killing All external provers ...
% 54.22/24.31 % Time passed: 23764ms (effective reasoning time: 22924ms)
% 54.22/24.31 % Axioms used in derivation (0):
% 54.22/24.31 % No. of inferences in proof: 400
% 54.22/24.31 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : 23764 ms resp. 22924 ms w/o parsing
% 55.49/24.61 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 55.49/24.61 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------