%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : MSC015-1.010 : TPTP v9.3.1. Released v3.5.0.
% 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 : n008.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 08:03:12 AM UTC 2026
% Result : Unsatisfiable 112.23s 83.87s
% Output : Refutation 114.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3072
% Number of leaves : 12
% Syntax : Number of formulae : 3105 (1030 unt; 0 typ; 0 def)
% Number of atoms : 10290 (2044 equ; 0 cnn)
% Maximal formula atoms : 3 ( 3 avg)
% Number of connectives : 78407 (3100 ~;3097 |; 0 &;72210 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 17 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 6 ( 3 usr; 4 con; 0-10 aty)
% Number of variables : 16523 ( 0 ^;16523 !; 0 ?;16523 :)
% Comments :
%------------------------------------------------------------------------------
thf(p_decl,type,
p: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).
thf(s1_decl,type,
s1: $i ).
thf(s0_decl,type,
s0: $i ).
thf(12,axiom,
( ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
| ~ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule10) ).
thf(34,plain,
( ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
| ~ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(35,plain,
( ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
| ~ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[34]) ).
thf(2,axiom,
s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',init) ).
thf(15,plain,
s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(3,axiom,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule1) ).
thf(16,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(17,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[16]) ).
thf(52,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[15,17]) ).
thf(53,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[52]) ).
thf(54,plain,
s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[53:[bind(A,$thf( s0 )),bind(B,$thf( s0 )),bind(C,$thf( s0 )),bind(D,$thf( s0 )),bind(E,$thf( s0 )),bind(F,$thf( s0 )),bind(G,$thf( s0 )),bind(H,$thf( s0 )),bind(I,$thf( s0 ))]]) ).
thf(4,axiom,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule2) ).
thf(18,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(19,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[18]) ).
thf(92,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[54,19]) ).
thf(93,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[92]) ).
thf(94,plain,
s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[93:[bind(A,$thf( s0 )),bind(B,$thf( s0 )),bind(C,$thf( s0 )),bind(D,$thf( s0 )),bind(E,$thf( s0 )),bind(F,$thf( s0 )),bind(G,$thf( s0 )),bind(H,$thf( s0 ))]]) ).
thf(105,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[94,17]) ).
thf(106,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[105]) ).
thf(107,plain,
s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[106:[bind(A,$thf( s0 )),bind(B,$thf( s0 )),bind(C,$thf( s0 )),bind(D,$thf( s0 )),bind(E,$thf( s0 )),bind(F,$thf( s0 )),bind(G,$thf( s0 )),bind(H,$thf( s0 )),bind(I,$thf( s1 ))]]) ).
thf(5,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( s0 @ ( s0 @ ( s1 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ ( s1 @ ( s1 @ ( s0 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule3) ).
thf(20,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( s0 @ ( s0 @ ( s1 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ ( s1 @ ( s1 @ ( s0 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(21,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( s0 @ ( s0 @ ( s1 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ ( s1 @ ( s1 @ ( s0 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[20]) ).
thf(168,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s0 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s1 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[107,21]) ).
thf(169,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s0 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s1 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[168]) ).
thf(170,plain,
s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[169:[bind(A,$thf( s0 )),bind(B,$thf( s0 )),bind(C,$thf( s0 )),bind(D,$thf( s0 )),bind(E,$thf( s0 )),bind(F,$thf( s0 )),bind(G,$thf( s0 ))]]) ).
thf(183,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[170,17]) ).
thf(184,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[183]) ).
thf(185,plain,
s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[184:[bind(A,$thf( s0 )),bind(B,$thf( s0 )),bind(C,$thf( s0 )),bind(D,$thf( s0 )),bind(E,$thf( s0 )),bind(F,$thf( s0 )),bind(G,$thf( s0 )),bind(H,$thf( s1 )),bind(I,$thf( s0 ))]]) ).
thf(226,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[185,19]) ).
thf(227,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[226]) ).
thf(228,plain,
s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[227:[bind(A,$thf( s0 )),bind(B,$thf( s0 )),bind(C,$thf( s0 )),bind(D,$thf( s0 )),bind(E,$thf( s0 )),bind(F,$thf( s0 )),bind(G,$thf( s0 )),bind(H,$thf( s1 ))]]) ).
thf(251,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[228,17]) ).
thf(252,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[251]) ).
thf(253,plain,
s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[252:[bind(A,$thf( s0 )),bind(B,$thf( s0 )),bind(C,$thf( s0 )),bind(D,$thf( s0 )),bind(E,$thf( s0 )),bind(F,$thf( s0 )),bind(G,$thf( s0 )),bind(H,$thf( s1 )),bind(I,$thf( s1 ))]]) ).
thf(6,axiom,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule4) ).
thf(22,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(23,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[22]) ).
thf(325,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[253,23]) ).
thf(326,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[325]) ).
thf(327,plain,
s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[326:[bind(A,$thf( s0 )),bind(B,$thf( s0 )),bind(C,$thf( s0 )),bind(D,$thf( s0 )),bind(E,$thf( s0 )),bind(F,$thf( s0 ))]]) ).
thf(354,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[327,17]) ).
thf(355,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[354]) ).
thf(356,plain,
s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[355:[bind(A,$thf( s0 )),bind(B,$thf( s0 )),bind(C,$thf( s0 )),bind(D,$thf( s0 )),bind(E,$thf( s0 )),bind(F,$thf( s0 )),bind(G,$thf( s1 )),bind(H,$thf( s0 )),bind(I,$thf( s0 ))]]) ).
thf(403,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[356,19]) ).
thf(404,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[403]) ).
thf(405,plain,
s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[404:[bind(A,$thf( s0 )),bind(B,$thf( s0 )),bind(C,$thf( s0 )),bind(D,$thf( s0 )),bind(E,$thf( s0 )),bind(F,$thf( s0 )),bind(G,$thf( s1 )),bind(H,$thf( s0 ))]]) ).
thf(432,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[405,17]) ).
thf(433,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[432]) ).
thf(434,plain,
s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[433:[bind(A,$thf( s0 )),bind(B,$thf( s0 )),bind(C,$thf( s0 )),bind(D,$thf( s0 )),bind(E,$thf( s0 )),bind(F,$thf( s0 )),bind(G,$thf( s1 )),bind(H,$thf( s0 )),bind(I,$thf( s1 ))]]) ).
thf(483,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s0 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s1 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[434,21]) ).
thf(484,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s0 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s1 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[483]) ).
thf(485,plain,
s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[484:[bind(A,$thf( s0 )),bind(B,$thf( s0 )),bind(C,$thf( s0 )),bind(D,$thf( s0 )),bind(E,$thf( s0 )),bind(F,$thf( s0 )),bind(G,$thf( s1 ))]]) ).
thf(511,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[485,17]) ).
thf(512,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[511]) ).
thf(513,plain,
s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[512:[bind(A,$thf( s0 )),bind(B,$thf( s0 )),bind(C,$thf( s0 )),bind(D,$thf( s0 )),bind(E,$thf( s0 )),bind(F,$thf( s0 )),bind(G,$thf( s1 )),bind(H,$thf( s1 )),bind(I,$thf( s0 ))]]) ).
thf(566,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[513,19]) ).
thf(567,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[566]) ).
thf(568,plain,
s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[567:[bind(A,$thf( s0 )),bind(B,$thf( s0 )),bind(C,$thf( s0 )),bind(D,$thf( s0 )),bind(E,$thf( s0 )),bind(F,$thf( s0 )),bind(G,$thf( s1 )),bind(H,$thf( s1 ))]]) ).
thf(603,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[568,17]) ).
thf(604,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[603]) ).
thf(605,plain,
s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[604:[bind(A,$thf( s0 )),bind(B,$thf( s0 )),bind(C,$thf( s0 )),bind(D,$thf( s0 )),bind(E,$thf( s0 )),bind(F,$thf( s0 )),bind(G,$thf( s1 )),bind(H,$thf( s1 )),bind(I,$thf( s1 ))]]) ).
thf(7,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule5) ).
thf(24,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(25,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[24]) ).
thf(696,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[605,25]) ).
thf(697,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[696]) ).
thf(698,plain,
s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[697:[bind(A,$thf( s0 )),bind(B,$thf( s0 )),bind(C,$thf( s0 )),bind(D,$thf( s0 )),bind(E,$thf( s0 ))]]) ).
thf(747,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[698,17]) ).
thf(748,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[747]) ).
thf(749,plain,
s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[748:[bind(A,$thf( s0 )),bind(B,$thf( s0 )),bind(C,$thf( s0 )),bind(D,$thf( s0 )),bind(E,$thf( s0 )),bind(F,$thf( s1 )),bind(G,$thf( s0 )),bind(H,$thf( s0 )),bind(I,$thf( s0 ))]]) ).
thf(792,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[749,19]) ).
thf(793,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[792]) ).
thf(794,plain,
s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[793:[bind(A,$thf( s0 )),bind(B,$thf( s0 )),bind(C,$thf( s0 )),bind(D,$thf( s0 )),bind(E,$thf( s0 )),bind(F,$thf( s1 )),bind(G,$thf( s0 )),bind(H,$thf( s0 ))]]) ).
thf(833,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[794,17]) ).
thf(834,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[833]) ).
thf(835,plain,
s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[834:[bind(A,$thf( s0 )),bind(B,$thf( s0 )),bind(C,$thf( s0 )),bind(D,$thf( s0 )),bind(E,$thf( s0 )),bind(F,$thf( s1 )),bind(G,$thf( s0 )),bind(H,$thf( s0 )),bind(I,$thf( s1 ))]]) ).
thf(872,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s0 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s1 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[835,21]) ).
thf(873,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s0 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s1 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[872]) ).
thf(874,plain,
s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[873:[bind(A,$thf( s0 )),bind(B,$thf( s0 )),bind(C,$thf( s0 )),bind(D,$thf( s0 )),bind(E,$thf( s0 )),bind(F,$thf( s1 )),bind(G,$thf( s0 ))]]) ).
thf(919,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[874,17]) ).
thf(920,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[919]) ).
thf(921,plain,
s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[920:[bind(A,$thf( s0 )),bind(B,$thf( s0 )),bind(C,$thf( s0 )),bind(D,$thf( s0 )),bind(E,$thf( s0 )),bind(F,$thf( s1 )),bind(G,$thf( s0 )),bind(H,$thf( s1 )),bind(I,$thf( s0 ))]]) ).
thf(964,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[921,19]) ).
thf(965,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[964]) ).
thf(966,plain,
s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[965:[bind(A,$thf( s0 )),bind(B,$thf( s0 )),bind(C,$thf( s0 )),bind(D,$thf( s0 )),bind(E,$thf( s0 )),bind(F,$thf( s1 )),bind(G,$thf( s0 )),bind(H,$thf( s1 ))]]) ).
thf(1006,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[966,17]) ).
thf(1007,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[1006]) ).
thf(1008,plain,
s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[1007:[bind(A,$thf( s0 )),bind(B,$thf( s0 )),bind(C,$thf( s0 )),bind(D,$thf( s0 )),bind(E,$thf( s0 )),bind(F,$thf( s1 )),bind(G,$thf( s0 )),bind(H,$thf( s1 )),bind(I,$thf( s1 ))]]) ).
thf(1039,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1008,23]) ).
thf(1040,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[1039]) ).
thf(1041,plain,
s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[1040:[bind(A,$thf( s0 )),bind(B,$thf( s0 )),bind(C,$thf( s0 )),bind(D,$thf( s0 )),bind(E,$thf( s0 )),bind(F,$thf( s1 ))]]) ).
thf(1092,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1041,17]) ).
thf(1093,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[1092]) ).
thf(1094,plain,
s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[1093:[bind(A,$thf( s0 )),bind(B,$thf( s0 )),bind(C,$thf( s0 )),bind(D,$thf( s0 )),bind(E,$thf( s0 )),bind(F,$thf( s1 )),bind(G,$thf( s1 )),bind(H,$thf( s0 )),bind(I,$thf( s0 ))]]) ).
thf(1137,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1094,19]) ).
thf(1138,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[1137]) ).
thf(1139,plain,
s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[1138:[bind(A,$thf( s0 )),bind(B,$thf( s0 )),bind(C,$thf( s0 )),bind(D,$thf( s0 )),bind(E,$thf( s0 )),bind(F,$thf( s1 )),bind(G,$thf( s1 )),bind(H,$thf( s0 ))]]) ).
thf(1180,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1139,17]) ).
thf(1181,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[1180]) ).
thf(1182,plain,
s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[1181:[bind(A,$thf( s0 )),bind(B,$thf( s0 )),bind(C,$thf( s0 )),bind(D,$thf( s0 )),bind(E,$thf( s0 )),bind(F,$thf( s1 )),bind(G,$thf( s1 )),bind(H,$thf( s0 )),bind(I,$thf( s1 ))]]) ).
thf(1219,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s0 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s1 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1182,21]) ).
thf(1220,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s0 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s1 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[1219]) ).
thf(1221,plain,
s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[1220:[bind(A,$thf( s0 )),bind(B,$thf( s0 )),bind(C,$thf( s0 )),bind(D,$thf( s0 )),bind(E,$thf( s0 )),bind(F,$thf( s1 )),bind(G,$thf( s1 ))]]) ).
thf(1266,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1221,17]) ).
thf(1267,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[1266]) ).
thf(1268,plain,
s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[1267:[bind(A,$thf( s0 )),bind(B,$thf( s0 )),bind(C,$thf( s0 )),bind(D,$thf( s0 )),bind(E,$thf( s0 )),bind(F,$thf( s1 )),bind(G,$thf( s1 )),bind(H,$thf( s1 )),bind(I,$thf( s0 ))]]) ).
thf(1311,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1268,19]) ).
thf(1312,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[1311]) ).
thf(1313,plain,
s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[1312:[bind(A,$thf( s0 )),bind(B,$thf( s0 )),bind(C,$thf( s0 )),bind(D,$thf( s0 )),bind(E,$thf( s0 )),bind(F,$thf( s1 )),bind(G,$thf( s1 )),bind(H,$thf( s1 ))]]) ).
thf(1352,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1313,17]) ).
thf(1353,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[1352]) ).
thf(1354,plain,
s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[1353:[bind(A,$thf( s0 )),bind(B,$thf( s0 )),bind(C,$thf( s0 )),bind(D,$thf( s0 )),bind(E,$thf( s0 )),bind(F,$thf( s1 )),bind(G,$thf( s1 )),bind(H,$thf( s1 )),bind(I,$thf( s1 ))]]) ).
thf(8,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule6) ).
thf(26,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(27,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[26]) ).
thf(1377,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1354,27]) ).
thf(1378,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[1377]) ).
thf(1379,plain,
s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[1378:[bind(A,$thf( s0 )),bind(B,$thf( s0 )),bind(C,$thf( s0 )),bind(D,$thf( s0 ))]]) ).
thf(1438,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1379,17]) ).
thf(1439,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[1438]) ).
thf(1440,plain,
s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[1439:[bind(A,$thf( s0 )),bind(B,$thf( s0 )),bind(C,$thf( s0 )),bind(D,$thf( s0 )),bind(E,$thf( s1 )),bind(F,$thf( s0 )),bind(G,$thf( s0 )),bind(H,$thf( s0 )),bind(I,$thf( s0 ))]]) ).
thf(1484,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1440,19]) ).
thf(1485,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[1484]) ).
thf(1486,plain,
s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[1485:[bind(A,$thf( s0 )),bind(B,$thf( s0 )),bind(C,$thf( s0 )),bind(D,$thf( s0 )),bind(E,$thf( s1 )),bind(F,$thf( s0 )),bind(G,$thf( s0 )),bind(H,$thf( s0 ))]]) ).
thf(1525,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1486,17]) ).
thf(1526,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[1525]) ).
thf(1527,plain,
s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[1526:[bind(A,$thf( s0 )),bind(B,$thf( s0 )),bind(C,$thf( s0 )),bind(D,$thf( s0 )),bind(E,$thf( s1 )),bind(F,$thf( s0 )),bind(G,$thf( s0 )),bind(H,$thf( s0 )),bind(I,$thf( s1 ))]]) ).
thf(1564,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s0 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s1 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1527,21]) ).
thf(1565,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s0 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s1 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[1564]) ).
thf(1566,plain,
s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[1565:[bind(A,$thf( s0 )),bind(B,$thf( s0 )),bind(C,$thf( s0 )),bind(D,$thf( s0 )),bind(E,$thf( s1 )),bind(F,$thf( s0 )),bind(G,$thf( s0 ))]]) ).
thf(1611,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1566,17]) ).
thf(1612,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[1611]) ).
thf(1613,plain,
s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[1612:[bind(A,$thf( s0 )),bind(B,$thf( s0 )),bind(C,$thf( s0 )),bind(D,$thf( s0 )),bind(E,$thf( s1 )),bind(F,$thf( s0 )),bind(G,$thf( s0 )),bind(H,$thf( s1 )),bind(I,$thf( s0 ))]]) ).
thf(1656,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1613,19]) ).
thf(1657,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[1656]) ).
thf(1658,plain,
s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[1657:[bind(A,$thf( s0 )),bind(B,$thf( s0 )),bind(C,$thf( s0 )),bind(D,$thf( s0 )),bind(E,$thf( s1 )),bind(F,$thf( s0 )),bind(G,$thf( s0 )),bind(H,$thf( s1 ))]]) ).
thf(1695,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1658,17]) ).
thf(1696,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[1695]) ).
thf(1697,plain,
s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[1696:[bind(A,$thf( s0 )),bind(B,$thf( s0 )),bind(C,$thf( s0 )),bind(D,$thf( s0 )),bind(E,$thf( s1 )),bind(F,$thf( s0 )),bind(G,$thf( s0 )),bind(H,$thf( s1 )),bind(I,$thf( s1 ))]]) ).
thf(1726,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1697,23]) ).
thf(1727,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[1726]) ).
thf(1728,plain,
s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[1727:[bind(A,$thf( s0 )),bind(B,$thf( s0 )),bind(C,$thf( s0 )),bind(D,$thf( s0 )),bind(E,$thf( s1 )),bind(F,$thf( s0 ))]]) ).
thf(1782,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1728,17]) ).
thf(1783,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[1782]) ).
thf(1784,plain,
s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[1783:[bind(A,$thf( s0 )),bind(B,$thf( s0 )),bind(C,$thf( s0 )),bind(D,$thf( s0 )),bind(E,$thf( s1 )),bind(F,$thf( s0 )),bind(G,$thf( s1 )),bind(H,$thf( s0 )),bind(I,$thf( s0 ))]]) ).
thf(1829,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1784,19]) ).
thf(1830,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[1829]) ).
thf(1831,plain,
s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[1830:[bind(A,$thf( s0 )),bind(B,$thf( s0 )),bind(C,$thf( s0 )),bind(D,$thf( s0 )),bind(E,$thf( s1 )),bind(F,$thf( s0 )),bind(G,$thf( s1 )),bind(H,$thf( s0 ))]]) ).
thf(1866,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1831,17]) ).
thf(1867,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[1866]) ).
thf(1868,plain,
s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[1867:[bind(A,$thf( s0 )),bind(B,$thf( s0 )),bind(C,$thf( s0 )),bind(D,$thf( s0 )),bind(E,$thf( s1 )),bind(F,$thf( s0 )),bind(G,$thf( s1 )),bind(H,$thf( s0 )),bind(I,$thf( s1 ))]]) ).
thf(1906,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s0 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s1 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1868,21]) ).
thf(1907,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s0 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s1 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[1906]) ).
thf(1908,plain,
s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[1907:[bind(A,$thf( s0 )),bind(B,$thf( s0 )),bind(C,$thf( s0 )),bind(D,$thf( s0 )),bind(E,$thf( s1 )),bind(F,$thf( s0 )),bind(G,$thf( s1 ))]]) ).
thf(1953,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1908,17]) ).
thf(1954,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[1953]) ).
thf(1955,plain,
s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[1954:[bind(A,$thf( s0 )),bind(B,$thf( s0 )),bind(C,$thf( s0 )),bind(D,$thf( s0 )),bind(E,$thf( s1 )),bind(F,$thf( s0 )),bind(G,$thf( s1 )),bind(H,$thf( s1 )),bind(I,$thf( s0 ))]]) ).
thf(2002,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1955,19]) ).
thf(2003,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[2002]) ).
thf(2004,plain,
s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[2003:[bind(A,$thf( s0 )),bind(B,$thf( s0 )),bind(C,$thf( s0 )),bind(D,$thf( s0 )),bind(E,$thf( s1 )),bind(F,$thf( s0 )),bind(G,$thf( s1 )),bind(H,$thf( s1 ))]]) ).
thf(2037,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[2004,17]) ).
thf(2038,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[2037]) ).
thf(2039,plain,
s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[2038:[bind(A,$thf( s0 )),bind(B,$thf( s0 )),bind(C,$thf( s0 )),bind(D,$thf( s0 )),bind(E,$thf( s1 )),bind(F,$thf( s0 )),bind(G,$thf( s1 )),bind(H,$thf( s1 )),bind(I,$thf( s1 ))]]) ).
thf(2070,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[2039,25]) ).
thf(2071,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[2070]) ).
thf(2072,plain,
s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[2071:[bind(A,$thf( s0 )),bind(B,$thf( s0 )),bind(C,$thf( s0 )),bind(D,$thf( s0 )),bind(E,$thf( s1 ))]]) ).
thf(2123,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[2072,17]) ).
thf(2124,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[2123]) ).
thf(2125,plain,
s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[2124:[bind(A,$thf( s0 )),bind(B,$thf( s0 )),bind(C,$thf( s0 )),bind(D,$thf( s0 )),bind(E,$thf( s1 )),bind(F,$thf( s1 )),bind(G,$thf( s0 )),bind(H,$thf( s0 )),bind(I,$thf( s0 ))]]) ).
thf(2174,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[2125,19]) ).
thf(2175,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[2174]) ).
thf(2176,plain,
s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[2175:[bind(A,$thf( s0 )),bind(B,$thf( s0 )),bind(C,$thf( s0 )),bind(D,$thf( s0 )),bind(E,$thf( s1 )),bind(F,$thf( s1 )),bind(G,$thf( s0 )),bind(H,$thf( s0 ))]]) ).
thf(2210,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[2176,17]) ).
thf(2211,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[2210]) ).
thf(2212,plain,
s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[2211:[bind(A,$thf( s0 )),bind(B,$thf( s0 )),bind(C,$thf( s0 )),bind(D,$thf( s0 )),bind(E,$thf( s1 )),bind(F,$thf( s1 )),bind(G,$thf( s0 )),bind(H,$thf( s0 )),bind(I,$thf( s1 ))]]) ).
thf(2247,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s0 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s1 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[2212,21]) ).
thf(2248,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s0 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s1 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[2247]) ).
thf(2249,plain,
s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[2248:[bind(A,$thf( s0 )),bind(B,$thf( s0 )),bind(C,$thf( s0 )),bind(D,$thf( s0 )),bind(E,$thf( s1 )),bind(F,$thf( s1 )),bind(G,$thf( s0 ))]]) ).
thf(2294,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[2249,17]) ).
thf(2295,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[2294]) ).
thf(2296,plain,
s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[2295:[bind(A,$thf( s0 )),bind(B,$thf( s0 )),bind(C,$thf( s0 )),bind(D,$thf( s0 )),bind(E,$thf( s1 )),bind(F,$thf( s1 )),bind(G,$thf( s0 )),bind(H,$thf( s1 )),bind(I,$thf( s0 ))]]) ).
thf(2347,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[2296,19]) ).
thf(2348,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[2347]) ).
thf(2349,plain,
s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[2348:[bind(A,$thf( s0 )),bind(B,$thf( s0 )),bind(C,$thf( s0 )),bind(D,$thf( s0 )),bind(E,$thf( s1 )),bind(F,$thf( s1 )),bind(G,$thf( s0 )),bind(H,$thf( s1 ))]]) ).
thf(2380,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[2349,17]) ).
thf(2381,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[2380]) ).
thf(2382,plain,
s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[2381:[bind(A,$thf( s0 )),bind(B,$thf( s0 )),bind(C,$thf( s0 )),bind(D,$thf( s0 )),bind(E,$thf( s1 )),bind(F,$thf( s1 )),bind(G,$thf( s0 )),bind(H,$thf( s1 )),bind(I,$thf( s1 ))]]) ).
thf(2431,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[2382,23]) ).
thf(2432,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[2431]) ).
thf(2433,plain,
s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[2432:[bind(A,$thf( s0 )),bind(B,$thf( s0 )),bind(C,$thf( s0 )),bind(D,$thf( s0 )),bind(E,$thf( s1 )),bind(F,$thf( s1 ))]]) ).
thf(2466,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[2433,17]) ).
thf(2467,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[2466]) ).
thf(2468,plain,
s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[2467:[bind(A,$thf( s0 )),bind(B,$thf( s0 )),bind(C,$thf( s0 )),bind(D,$thf( s0 )),bind(E,$thf( s1 )),bind(F,$thf( s1 )),bind(G,$thf( s1 )),bind(H,$thf( s0 )),bind(I,$thf( s0 ))]]) ).
thf(2520,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[2468,19]) ).
thf(2521,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[2520]) ).
thf(2522,plain,
s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[2521:[bind(A,$thf( s0 )),bind(B,$thf( s0 )),bind(C,$thf( s0 )),bind(D,$thf( s0 )),bind(E,$thf( s1 )),bind(F,$thf( s1 )),bind(G,$thf( s1 )),bind(H,$thf( s0 ))]]) ).
thf(2553,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[2522,17]) ).
thf(2554,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[2553]) ).
thf(2555,plain,
s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[2554:[bind(A,$thf( s0 )),bind(B,$thf( s0 )),bind(C,$thf( s0 )),bind(D,$thf( s0 )),bind(E,$thf( s1 )),bind(F,$thf( s1 )),bind(G,$thf( s1 )),bind(H,$thf( s0 )),bind(I,$thf( s1 ))]]) ).
thf(2592,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s0 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s1 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[2555,21]) ).
thf(2593,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s0 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s1 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[2592]) ).
thf(2594,plain,
s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[2593:[bind(A,$thf( s0 )),bind(B,$thf( s0 )),bind(C,$thf( s0 )),bind(D,$thf( s0 )),bind(E,$thf( s1 )),bind(F,$thf( s1 )),bind(G,$thf( s1 ))]]) ).
thf(2639,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[2594,17]) ).
thf(2640,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[2639]) ).
thf(2641,plain,
s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[2640:[bind(A,$thf( s0 )),bind(B,$thf( s0 )),bind(C,$thf( s0 )),bind(D,$thf( s0 )),bind(E,$thf( s1 )),bind(F,$thf( s1 )),bind(G,$thf( s1 )),bind(H,$thf( s1 )),bind(I,$thf( s0 ))]]) ).
thf(2693,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[2641,19]) ).
thf(2694,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[2693]) ).
thf(2695,plain,
s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[2694:[bind(A,$thf( s0 )),bind(B,$thf( s0 )),bind(C,$thf( s0 )),bind(D,$thf( s0 )),bind(E,$thf( s1 )),bind(F,$thf( s1 )),bind(G,$thf( s1 )),bind(H,$thf( s1 ))]]) ).
thf(2726,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[2695,17]) ).
thf(2727,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[2726]) ).
thf(2728,plain,
s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[2727:[bind(A,$thf( s0 )),bind(B,$thf( s0 )),bind(C,$thf( s0 )),bind(D,$thf( s0 )),bind(E,$thf( s1 )),bind(F,$thf( s1 )),bind(G,$thf( s1 )),bind(H,$thf( s1 )),bind(I,$thf( s1 ))]]) ).
thf(9,axiom,
! [C: $i,B: $i,A: $i] :
( ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule7) ).
thf(28,plain,
! [C: $i,B: $i,A: $i] :
( ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(29,plain,
! [C: $i,B: $i,A: $i] :
( ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[28]) ).
thf(2763,plain,
! [C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[2728,29]) ).
thf(2764,plain,
! [C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[2763]) ).
thf(2765,plain,
s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[2764:[bind(A,$thf( s0 )),bind(B,$thf( s0 )),bind(C,$thf( s0 ))]]) ).
thf(2813,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[2765,17]) ).
thf(2814,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[2813]) ).
thf(2815,plain,
s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[2814:[bind(A,$thf( s0 )),bind(B,$thf( s0 )),bind(C,$thf( s0 )),bind(D,$thf( s1 )),bind(E,$thf( s0 )),bind(F,$thf( s0 )),bind(G,$thf( s0 )),bind(H,$thf( s0 )),bind(I,$thf( s0 ))]]) ).
thf(2866,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[2815,19]) ).
thf(2867,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[2866]) ).
thf(2868,plain,
s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[2867:[bind(A,$thf( s0 )),bind(B,$thf( s0 )),bind(C,$thf( s0 )),bind(D,$thf( s1 )),bind(E,$thf( s0 )),bind(F,$thf( s0 )),bind(G,$thf( s0 )),bind(H,$thf( s0 ))]]) ).
thf(2899,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[2868,17]) ).
thf(2900,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[2899]) ).
thf(2901,plain,
s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[2900:[bind(A,$thf( s0 )),bind(B,$thf( s0 )),bind(C,$thf( s0 )),bind(D,$thf( s1 )),bind(E,$thf( s0 )),bind(F,$thf( s0 )),bind(G,$thf( s0 )),bind(H,$thf( s0 )),bind(I,$thf( s1 ))]]) ).
thf(2938,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s0 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s1 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[2901,21]) ).
thf(2939,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s0 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s1 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[2938]) ).
thf(2940,plain,
s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[2939:[bind(A,$thf( s0 )),bind(B,$thf( s0 )),bind(C,$thf( s0 )),bind(D,$thf( s1 )),bind(E,$thf( s0 )),bind(F,$thf( s0 )),bind(G,$thf( s0 ))]]) ).
thf(2986,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[2940,17]) ).
thf(2987,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[2986]) ).
thf(2988,plain,
s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[2987:[bind(A,$thf( s0 )),bind(B,$thf( s0 )),bind(C,$thf( s0 )),bind(D,$thf( s1 )),bind(E,$thf( s0 )),bind(F,$thf( s0 )),bind(G,$thf( s0 )),bind(H,$thf( s1 )),bind(I,$thf( s0 ))]]) ).
thf(3039,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[2988,19]) ).
thf(3040,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[3039]) ).
thf(3041,plain,
s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[3040:[bind(A,$thf( s0 )),bind(B,$thf( s0 )),bind(C,$thf( s0 )),bind(D,$thf( s1 )),bind(E,$thf( s0 )),bind(F,$thf( s0 )),bind(G,$thf( s0 )),bind(H,$thf( s1 ))]]) ).
thf(3072,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[3041,17]) ).
thf(3073,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[3072]) ).
thf(3074,plain,
s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[3073:[bind(A,$thf( s0 )),bind(B,$thf( s0 )),bind(C,$thf( s0 )),bind(D,$thf( s1 )),bind(E,$thf( s0 )),bind(F,$thf( s0 )),bind(G,$thf( s0 )),bind(H,$thf( s1 )),bind(I,$thf( s1 ))]]) ).
thf(3124,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[3074,23]) ).
thf(3125,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[3124]) ).
thf(3126,plain,
s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[3125:[bind(A,$thf( s0 )),bind(B,$thf( s0 )),bind(C,$thf( s0 )),bind(D,$thf( s1 )),bind(E,$thf( s0 )),bind(F,$thf( s0 ))]]) ).
thf(3159,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[3126,17]) ).
thf(3160,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[3159]) ).
thf(3161,plain,
s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[3160:[bind(A,$thf( s0 )),bind(B,$thf( s0 )),bind(C,$thf( s0 )),bind(D,$thf( s1 )),bind(E,$thf( s0 )),bind(F,$thf( s0 )),bind(G,$thf( s1 )),bind(H,$thf( s0 )),bind(I,$thf( s0 ))]]) ).
thf(3212,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[3161,19]) ).
thf(3213,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[3212]) ).
thf(3214,plain,
s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[3213:[bind(A,$thf( s0 )),bind(B,$thf( s0 )),bind(C,$thf( s0 )),bind(D,$thf( s1 )),bind(E,$thf( s0 )),bind(F,$thf( s0 )),bind(G,$thf( s1 )),bind(H,$thf( s0 ))]]) ).
thf(3245,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[3214,17]) ).
thf(3246,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[3245]) ).
thf(3247,plain,
s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[3246:[bind(A,$thf( s0 )),bind(B,$thf( s0 )),bind(C,$thf( s0 )),bind(D,$thf( s1 )),bind(E,$thf( s0 )),bind(F,$thf( s0 )),bind(G,$thf( s1 )),bind(H,$thf( s0 )),bind(I,$thf( s1 ))]]) ).
thf(3285,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s0 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s1 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[3247,21]) ).
thf(3286,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s0 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s1 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[3285]) ).
thf(3287,plain,
s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[3286:[bind(A,$thf( s0 )),bind(B,$thf( s0 )),bind(C,$thf( s0 )),bind(D,$thf( s1 )),bind(E,$thf( s0 )),bind(F,$thf( s0 )),bind(G,$thf( s1 ))]]) ).
thf(3332,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[3287,17]) ).
thf(3333,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[3332]) ).
thf(3334,plain,
s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[3333:[bind(A,$thf( s0 )),bind(B,$thf( s0 )),bind(C,$thf( s0 )),bind(D,$thf( s1 )),bind(E,$thf( s0 )),bind(F,$thf( s0 )),bind(G,$thf( s1 )),bind(H,$thf( s1 )),bind(I,$thf( s0 ))]]) ).
thf(3385,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[3334,19]) ).
thf(3386,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[3385]) ).
thf(3387,plain,
s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[3386:[bind(A,$thf( s0 )),bind(B,$thf( s0 )),bind(C,$thf( s0 )),bind(D,$thf( s1 )),bind(E,$thf( s0 )),bind(F,$thf( s0 )),bind(G,$thf( s1 )),bind(H,$thf( s1 ))]]) ).
thf(3418,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[3387,17]) ).
thf(3419,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[3418]) ).
thf(3420,plain,
s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[3419:[bind(A,$thf( s0 )),bind(B,$thf( s0 )),bind(C,$thf( s0 )),bind(D,$thf( s1 )),bind(E,$thf( s0 )),bind(F,$thf( s0 )),bind(G,$thf( s1 )),bind(H,$thf( s1 )),bind(I,$thf( s1 ))]]) ).
thf(3451,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[3420,25]) ).
thf(3452,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[3451]) ).
thf(3453,plain,
s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[3452:[bind(A,$thf( s0 )),bind(B,$thf( s0 )),bind(C,$thf( s0 )),bind(D,$thf( s1 )),bind(E,$thf( s0 ))]]) ).
thf(3504,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[3453,17]) ).
thf(3505,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[3504]) ).
thf(3506,plain,
s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[3505:[bind(A,$thf( s0 )),bind(B,$thf( s0 )),bind(C,$thf( s0 )),bind(D,$thf( s1 )),bind(E,$thf( s0 )),bind(F,$thf( s1 )),bind(G,$thf( s0 )),bind(H,$thf( s0 )),bind(I,$thf( s0 ))]]) ).
thf(3557,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[3506,19]) ).
thf(3558,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[3557]) ).
thf(3559,plain,
s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[3558:[bind(A,$thf( s0 )),bind(B,$thf( s0 )),bind(C,$thf( s0 )),bind(D,$thf( s1 )),bind(E,$thf( s0 )),bind(F,$thf( s1 )),bind(G,$thf( s0 )),bind(H,$thf( s0 ))]]) ).
thf(3591,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[3559,17]) ).
thf(3592,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[3591]) ).
thf(3593,plain,
s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[3592:[bind(A,$thf( s0 )),bind(B,$thf( s0 )),bind(C,$thf( s0 )),bind(D,$thf( s1 )),bind(E,$thf( s0 )),bind(F,$thf( s1 )),bind(G,$thf( s0 )),bind(H,$thf( s0 )),bind(I,$thf( s1 ))]]) ).
thf(3630,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s0 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s1 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[3593,21]) ).
thf(3631,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s0 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s1 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[3630]) ).
thf(3632,plain,
s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[3631:[bind(A,$thf( s0 )),bind(B,$thf( s0 )),bind(C,$thf( s0 )),bind(D,$thf( s1 )),bind(E,$thf( s0 )),bind(F,$thf( s1 )),bind(G,$thf( s0 ))]]) ).
thf(3677,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[3632,17]) ).
thf(3678,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[3677]) ).
thf(3679,plain,
s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[3678:[bind(A,$thf( s0 )),bind(B,$thf( s0 )),bind(C,$thf( s0 )),bind(D,$thf( s1 )),bind(E,$thf( s0 )),bind(F,$thf( s1 )),bind(G,$thf( s0 )),bind(H,$thf( s1 )),bind(I,$thf( s0 ))]]) ).
thf(3731,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[3679,19]) ).
thf(3732,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[3731]) ).
thf(3733,plain,
s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[3732:[bind(A,$thf( s0 )),bind(B,$thf( s0 )),bind(C,$thf( s0 )),bind(D,$thf( s1 )),bind(E,$thf( s0 )),bind(F,$thf( s1 )),bind(G,$thf( s0 )),bind(H,$thf( s1 ))]]) ).
thf(3764,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[3733,17]) ).
thf(3765,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[3764]) ).
thf(3766,plain,
s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[3765:[bind(A,$thf( s0 )),bind(B,$thf( s0 )),bind(C,$thf( s0 )),bind(D,$thf( s1 )),bind(E,$thf( s0 )),bind(F,$thf( s1 )),bind(G,$thf( s0 )),bind(H,$thf( s1 )),bind(I,$thf( s1 ))]]) ).
thf(3815,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[3766,23]) ).
thf(3816,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[3815]) ).
thf(3817,plain,
s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[3816:[bind(A,$thf( s0 )),bind(B,$thf( s0 )),bind(C,$thf( s0 )),bind(D,$thf( s1 )),bind(E,$thf( s0 )),bind(F,$thf( s1 ))]]) ).
thf(3850,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[3817,17]) ).
thf(3851,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[3850]) ).
thf(3852,plain,
s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[3851:[bind(A,$thf( s0 )),bind(B,$thf( s0 )),bind(C,$thf( s0 )),bind(D,$thf( s1 )),bind(E,$thf( s0 )),bind(F,$thf( s1 )),bind(G,$thf( s1 )),bind(H,$thf( s0 )),bind(I,$thf( s0 ))]]) ).
thf(3905,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[3852,19]) ).
thf(3906,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[3905]) ).
thf(3907,plain,
s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[3906:[bind(A,$thf( s0 )),bind(B,$thf( s0 )),bind(C,$thf( s0 )),bind(D,$thf( s1 )),bind(E,$thf( s0 )),bind(F,$thf( s1 )),bind(G,$thf( s1 )),bind(H,$thf( s0 ))]]) ).
thf(3938,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[3907,17]) ).
thf(3939,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[3938]) ).
thf(3940,plain,
s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[3939:[bind(A,$thf( s0 )),bind(B,$thf( s0 )),bind(C,$thf( s0 )),bind(D,$thf( s1 )),bind(E,$thf( s0 )),bind(F,$thf( s1 )),bind(G,$thf( s1 )),bind(H,$thf( s0 )),bind(I,$thf( s1 ))]]) ).
thf(3977,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s0 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s1 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[3940,21]) ).
thf(3978,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s0 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s1 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[3977]) ).
thf(3979,plain,
s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[3978:[bind(A,$thf( s0 )),bind(B,$thf( s0 )),bind(C,$thf( s0 )),bind(D,$thf( s1 )),bind(E,$thf( s0 )),bind(F,$thf( s1 )),bind(G,$thf( s1 ))]]) ).
thf(4024,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[3979,17]) ).
thf(4025,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[4024]) ).
thf(4026,plain,
s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[4025:[bind(A,$thf( s0 )),bind(B,$thf( s0 )),bind(C,$thf( s0 )),bind(D,$thf( s1 )),bind(E,$thf( s0 )),bind(F,$thf( s1 )),bind(G,$thf( s1 )),bind(H,$thf( s1 )),bind(I,$thf( s0 ))]]) ).
thf(4077,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[4026,19]) ).
thf(4078,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[4077]) ).
thf(4079,plain,
s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[4078:[bind(A,$thf( s0 )),bind(B,$thf( s0 )),bind(C,$thf( s0 )),bind(D,$thf( s1 )),bind(E,$thf( s0 )),bind(F,$thf( s1 )),bind(G,$thf( s1 )),bind(H,$thf( s1 ))]]) ).
thf(4110,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[4079,17]) ).
thf(4111,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[4110]) ).
thf(4112,plain,
s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[4111:[bind(A,$thf( s0 )),bind(B,$thf( s0 )),bind(C,$thf( s0 )),bind(D,$thf( s1 )),bind(E,$thf( s0 )),bind(F,$thf( s1 )),bind(G,$thf( s1 )),bind(H,$thf( s1 )),bind(I,$thf( s1 ))]]) ).
thf(4155,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[4112,27]) ).
thf(4156,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[4155]) ).
thf(4157,plain,
s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[4156:[bind(A,$thf( s0 )),bind(B,$thf( s0 )),bind(C,$thf( s0 )),bind(D,$thf( s1 ))]]) ).
thf(4198,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[4157,17]) ).
thf(4199,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[4198]) ).
thf(4200,plain,
s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[4199:[bind(A,$thf( s0 )),bind(B,$thf( s0 )),bind(C,$thf( s0 )),bind(D,$thf( s1 )),bind(E,$thf( s1 )),bind(F,$thf( s0 )),bind(G,$thf( s0 )),bind(H,$thf( s0 )),bind(I,$thf( s0 ))]]) ).
thf(4251,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[4200,19]) ).
thf(4252,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[4251]) ).
thf(4253,plain,
s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[4252:[bind(A,$thf( s0 )),bind(B,$thf( s0 )),bind(C,$thf( s0 )),bind(D,$thf( s1 )),bind(E,$thf( s1 )),bind(F,$thf( s0 )),bind(G,$thf( s0 )),bind(H,$thf( s0 ))]]) ).
thf(4284,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[4253,17]) ).
thf(4285,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[4284]) ).
thf(4286,plain,
s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[4285:[bind(A,$thf( s0 )),bind(B,$thf( s0 )),bind(C,$thf( s0 )),bind(D,$thf( s1 )),bind(E,$thf( s1 )),bind(F,$thf( s0 )),bind(G,$thf( s0 )),bind(H,$thf( s0 )),bind(I,$thf( s1 ))]]) ).
thf(4324,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s0 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s1 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[4286,21]) ).
thf(4325,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s0 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s1 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[4324]) ).
thf(4326,plain,
s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[4325:[bind(A,$thf( s0 )),bind(B,$thf( s0 )),bind(C,$thf( s0 )),bind(D,$thf( s1 )),bind(E,$thf( s1 )),bind(F,$thf( s0 )),bind(G,$thf( s0 ))]]) ).
thf(4371,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[4326,17]) ).
thf(4372,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[4371]) ).
thf(4373,plain,
s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[4372:[bind(A,$thf( s0 )),bind(B,$thf( s0 )),bind(C,$thf( s0 )),bind(D,$thf( s1 )),bind(E,$thf( s1 )),bind(F,$thf( s0 )),bind(G,$thf( s0 )),bind(H,$thf( s1 )),bind(I,$thf( s0 ))]]) ).
thf(4424,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[4373,19]) ).
thf(4425,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[4424]) ).
thf(4426,plain,
s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[4425:[bind(A,$thf( s0 )),bind(B,$thf( s0 )),bind(C,$thf( s0 )),bind(D,$thf( s1 )),bind(E,$thf( s1 )),bind(F,$thf( s0 )),bind(G,$thf( s0 )),bind(H,$thf( s1 ))]]) ).
thf(4457,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[4426,17]) ).
thf(4458,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[4457]) ).
thf(4459,plain,
s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[4458:[bind(A,$thf( s0 )),bind(B,$thf( s0 )),bind(C,$thf( s0 )),bind(D,$thf( s1 )),bind(E,$thf( s1 )),bind(F,$thf( s0 )),bind(G,$thf( s0 )),bind(H,$thf( s1 )),bind(I,$thf( s1 ))]]) ).
thf(4510,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[4459,23]) ).
thf(4511,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[4510]) ).
thf(4512,plain,
s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[4511:[bind(A,$thf( s0 )),bind(B,$thf( s0 )),bind(C,$thf( s0 )),bind(D,$thf( s1 )),bind(E,$thf( s1 )),bind(F,$thf( s0 ))]]) ).
thf(4545,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[4512,17]) ).
thf(4546,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[4545]) ).
thf(4547,plain,
s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[4546:[bind(A,$thf( s0 )),bind(B,$thf( s0 )),bind(C,$thf( s0 )),bind(D,$thf( s1 )),bind(E,$thf( s1 )),bind(F,$thf( s0 )),bind(G,$thf( s1 )),bind(H,$thf( s0 )),bind(I,$thf( s0 ))]]) ).
thf(4598,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[4547,19]) ).
thf(4599,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[4598]) ).
thf(4600,plain,
s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[4599:[bind(A,$thf( s0 )),bind(B,$thf( s0 )),bind(C,$thf( s0 )),bind(D,$thf( s1 )),bind(E,$thf( s1 )),bind(F,$thf( s0 )),bind(G,$thf( s1 )),bind(H,$thf( s0 ))]]) ).
thf(4632,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[4600,17]) ).
thf(4633,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[4632]) ).
thf(4634,plain,
s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[4633:[bind(A,$thf( s0 )),bind(B,$thf( s0 )),bind(C,$thf( s0 )),bind(D,$thf( s1 )),bind(E,$thf( s1 )),bind(F,$thf( s0 )),bind(G,$thf( s1 )),bind(H,$thf( s0 )),bind(I,$thf( s1 ))]]) ).
thf(4671,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s0 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s1 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[4634,21]) ).
thf(4672,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s0 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s1 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[4671]) ).
thf(4673,plain,
s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[4672:[bind(A,$thf( s0 )),bind(B,$thf( s0 )),bind(C,$thf( s0 )),bind(D,$thf( s1 )),bind(E,$thf( s1 )),bind(F,$thf( s0 )),bind(G,$thf( s1 ))]]) ).
thf(4718,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[4673,17]) ).
thf(4719,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[4718]) ).
thf(4720,plain,
s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[4719:[bind(A,$thf( s0 )),bind(B,$thf( s0 )),bind(C,$thf( s0 )),bind(D,$thf( s1 )),bind(E,$thf( s1 )),bind(F,$thf( s0 )),bind(G,$thf( s1 )),bind(H,$thf( s1 )),bind(I,$thf( s0 ))]]) ).
thf(4771,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[4720,19]) ).
thf(4772,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[4771]) ).
thf(4773,plain,
s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[4772:[bind(A,$thf( s0 )),bind(B,$thf( s0 )),bind(C,$thf( s0 )),bind(D,$thf( s1 )),bind(E,$thf( s1 )),bind(F,$thf( s0 )),bind(G,$thf( s1 )),bind(H,$thf( s1 ))]]) ).
thf(4806,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[4773,17]) ).
thf(4807,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[4806]) ).
thf(4808,plain,
s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[4807:[bind(A,$thf( s0 )),bind(B,$thf( s0 )),bind(C,$thf( s0 )),bind(D,$thf( s1 )),bind(E,$thf( s1 )),bind(F,$thf( s0 )),bind(G,$thf( s1 )),bind(H,$thf( s1 )),bind(I,$thf( s1 ))]]) ).
thf(4839,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[4808,25]) ).
thf(4840,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[4839]) ).
thf(4841,plain,
s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[4840:[bind(A,$thf( s0 )),bind(B,$thf( s0 )),bind(C,$thf( s0 )),bind(D,$thf( s1 )),bind(E,$thf( s1 ))]]) ).
thf(4892,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[4841,17]) ).
thf(4893,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[4892]) ).
thf(4894,plain,
s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[4893:[bind(A,$thf( s0 )),bind(B,$thf( s0 )),bind(C,$thf( s0 )),bind(D,$thf( s1 )),bind(E,$thf( s1 )),bind(F,$thf( s1 )),bind(G,$thf( s0 )),bind(H,$thf( s0 )),bind(I,$thf( s0 ))]]) ).
thf(4945,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[4894,19]) ).
thf(4946,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[4945]) ).
thf(4947,plain,
s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[4946:[bind(A,$thf( s0 )),bind(B,$thf( s0 )),bind(C,$thf( s0 )),bind(D,$thf( s1 )),bind(E,$thf( s1 )),bind(F,$thf( s1 )),bind(G,$thf( s0 )),bind(H,$thf( s0 ))]]) ).
thf(4978,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[4947,17]) ).
thf(4979,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[4978]) ).
thf(4980,plain,
s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[4979:[bind(A,$thf( s0 )),bind(B,$thf( s0 )),bind(C,$thf( s0 )),bind(D,$thf( s1 )),bind(E,$thf( s1 )),bind(F,$thf( s1 )),bind(G,$thf( s0 )),bind(H,$thf( s0 )),bind(I,$thf( s1 ))]]) ).
thf(5017,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s0 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s1 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[4980,21]) ).
thf(5018,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s0 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s1 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[5017]) ).
thf(5019,plain,
s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[5018:[bind(A,$thf( s0 )),bind(B,$thf( s0 )),bind(C,$thf( s0 )),bind(D,$thf( s1 )),bind(E,$thf( s1 )),bind(F,$thf( s1 )),bind(G,$thf( s0 ))]]) ).
thf(5064,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[5019,17]) ).
thf(5065,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[5064]) ).
thf(5066,plain,
s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[5065:[bind(A,$thf( s0 )),bind(B,$thf( s0 )),bind(C,$thf( s0 )),bind(D,$thf( s1 )),bind(E,$thf( s1 )),bind(F,$thf( s1 )),bind(G,$thf( s0 )),bind(H,$thf( s1 )),bind(I,$thf( s0 ))]]) ).
thf(5118,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[5066,19]) ).
thf(5119,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[5118]) ).
thf(5120,plain,
s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[5119:[bind(A,$thf( s0 )),bind(B,$thf( s0 )),bind(C,$thf( s0 )),bind(D,$thf( s1 )),bind(E,$thf( s1 )),bind(F,$thf( s1 )),bind(G,$thf( s0 )),bind(H,$thf( s1 ))]]) ).
thf(5151,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[5120,17]) ).
thf(5152,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[5151]) ).
thf(5153,plain,
s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[5152:[bind(A,$thf( s0 )),bind(B,$thf( s0 )),bind(C,$thf( s0 )),bind(D,$thf( s1 )),bind(E,$thf( s1 )),bind(F,$thf( s1 )),bind(G,$thf( s0 )),bind(H,$thf( s1 )),bind(I,$thf( s1 ))]]) ).
thf(5202,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[5153,23]) ).
thf(5203,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[5202]) ).
thf(5204,plain,
s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[5203:[bind(A,$thf( s0 )),bind(B,$thf( s0 )),bind(C,$thf( s0 )),bind(D,$thf( s1 )),bind(E,$thf( s1 )),bind(F,$thf( s1 ))]]) ).
thf(5237,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[5204,17]) ).
thf(5238,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[5237]) ).
thf(5239,plain,
s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[5238:[bind(A,$thf( s0 )),bind(B,$thf( s0 )),bind(C,$thf( s0 )),bind(D,$thf( s1 )),bind(E,$thf( s1 )),bind(F,$thf( s1 )),bind(G,$thf( s1 )),bind(H,$thf( s0 )),bind(I,$thf( s0 ))]]) ).
thf(5290,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[5239,19]) ).
thf(5291,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[5290]) ).
thf(5292,plain,
s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[5291:[bind(A,$thf( s0 )),bind(B,$thf( s0 )),bind(C,$thf( s0 )),bind(D,$thf( s1 )),bind(E,$thf( s1 )),bind(F,$thf( s1 )),bind(G,$thf( s1 )),bind(H,$thf( s0 ))]]) ).
thf(5323,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[5292,17]) ).
thf(5324,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[5323]) ).
thf(5325,plain,
s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[5324:[bind(A,$thf( s0 )),bind(B,$thf( s0 )),bind(C,$thf( s0 )),bind(D,$thf( s1 )),bind(E,$thf( s1 )),bind(F,$thf( s1 )),bind(G,$thf( s1 )),bind(H,$thf( s0 )),bind(I,$thf( s1 ))]]) ).
thf(5362,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s0 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s1 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[5325,21]) ).
thf(5363,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s0 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s1 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[5362]) ).
thf(5364,plain,
s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[5363:[bind(A,$thf( s0 )),bind(B,$thf( s0 )),bind(C,$thf( s0 )),bind(D,$thf( s1 )),bind(E,$thf( s1 )),bind(F,$thf( s1 )),bind(G,$thf( s1 ))]]) ).
thf(5411,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[5364,17]) ).
thf(5412,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[5411]) ).
thf(5413,plain,
s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[5412:[bind(A,$thf( s0 )),bind(B,$thf( s0 )),bind(C,$thf( s0 )),bind(D,$thf( s1 )),bind(E,$thf( s1 )),bind(F,$thf( s1 )),bind(G,$thf( s1 )),bind(H,$thf( s1 )),bind(I,$thf( s0 ))]]) ).
thf(5464,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[5413,19]) ).
thf(5465,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[5464]) ).
thf(5466,plain,
s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[5465:[bind(A,$thf( s0 )),bind(B,$thf( s0 )),bind(C,$thf( s0 )),bind(D,$thf( s1 )),bind(E,$thf( s1 )),bind(F,$thf( s1 )),bind(G,$thf( s1 )),bind(H,$thf( s1 ))]]) ).
thf(5497,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[5466,17]) ).
thf(5498,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[5497]) ).
thf(5499,plain,
s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[5498:[bind(A,$thf( s0 )),bind(B,$thf( s0 )),bind(C,$thf( s0 )),bind(D,$thf( s1 )),bind(E,$thf( s1 )),bind(F,$thf( s1 )),bind(G,$thf( s1 )),bind(H,$thf( s1 )),bind(I,$thf( s1 ))]]) ).
thf(10,axiom,
! [B: $i,A: $i] :
( ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule8) ).
thf(30,plain,
! [B: $i,A: $i] :
( ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(31,plain,
! [B: $i,A: $i] :
( ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[30]) ).
thf(5547,plain,
! [B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[5499,31]) ).
thf(5548,plain,
! [B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[5547]) ).
thf(5549,plain,
s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[5548:[bind(A,$thf( s0 )),bind(B,$thf( s0 ))]]) ).
thf(5584,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[5549,17]) ).
thf(5585,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[5584]) ).
thf(5586,plain,
s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[5585:[bind(A,$thf( s0 )),bind(B,$thf( s0 )),bind(C,$thf( s1 )),bind(D,$thf( s0 )),bind(E,$thf( s0 )),bind(F,$thf( s0 )),bind(G,$thf( s0 )),bind(H,$thf( s0 )),bind(I,$thf( s0 ))]]) ).
thf(5637,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[5586,19]) ).
thf(5638,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[5637]) ).
thf(5639,plain,
s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[5638:[bind(A,$thf( s0 )),bind(B,$thf( s0 )),bind(C,$thf( s1 )),bind(D,$thf( s0 )),bind(E,$thf( s0 )),bind(F,$thf( s0 )),bind(G,$thf( s0 )),bind(H,$thf( s0 ))]]) ).
thf(5670,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[5639,17]) ).
thf(5671,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[5670]) ).
thf(5672,plain,
s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[5671:[bind(A,$thf( s0 )),bind(B,$thf( s0 )),bind(C,$thf( s1 )),bind(D,$thf( s0 )),bind(E,$thf( s0 )),bind(F,$thf( s0 )),bind(G,$thf( s0 )),bind(H,$thf( s0 )),bind(I,$thf( s1 ))]]) ).
thf(5711,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s0 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s1 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[5672,21]) ).
thf(5712,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s0 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s1 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[5711]) ).
thf(5713,plain,
s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[5712:[bind(A,$thf( s0 )),bind(B,$thf( s0 )),bind(C,$thf( s1 )),bind(D,$thf( s0 )),bind(E,$thf( s0 )),bind(F,$thf( s0 )),bind(G,$thf( s0 ))]]) ).
thf(5758,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[5713,17]) ).
thf(5759,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[5758]) ).
thf(5760,plain,
s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[5759:[bind(A,$thf( s0 )),bind(B,$thf( s0 )),bind(C,$thf( s1 )),bind(D,$thf( s0 )),bind(E,$thf( s0 )),bind(F,$thf( s0 )),bind(G,$thf( s0 )),bind(H,$thf( s1 )),bind(I,$thf( s0 ))]]) ).
thf(5811,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[5760,19]) ).
thf(5812,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[5811]) ).
thf(5813,plain,
s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[5812:[bind(A,$thf( s0 )),bind(B,$thf( s0 )),bind(C,$thf( s1 )),bind(D,$thf( s0 )),bind(E,$thf( s0 )),bind(F,$thf( s0 )),bind(G,$thf( s0 )),bind(H,$thf( s1 ))]]) ).
thf(5845,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[5813,17]) ).
thf(5846,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[5845]) ).
thf(5847,plain,
s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[5846:[bind(A,$thf( s0 )),bind(B,$thf( s0 )),bind(C,$thf( s1 )),bind(D,$thf( s0 )),bind(E,$thf( s0 )),bind(F,$thf( s0 )),bind(G,$thf( s0 )),bind(H,$thf( s1 )),bind(I,$thf( s1 ))]]) ).
thf(5896,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[5847,23]) ).
thf(5897,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[5896]) ).
thf(5898,plain,
s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[5897:[bind(A,$thf( s0 )),bind(B,$thf( s0 )),bind(C,$thf( s1 )),bind(D,$thf( s0 )),bind(E,$thf( s0 )),bind(F,$thf( s0 ))]]) ).
thf(5931,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[5898,17]) ).
thf(5932,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[5931]) ).
thf(5933,plain,
s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[5932:[bind(A,$thf( s0 )),bind(B,$thf( s0 )),bind(C,$thf( s1 )),bind(D,$thf( s0 )),bind(E,$thf( s0 )),bind(F,$thf( s0 )),bind(G,$thf( s1 )),bind(H,$thf( s0 )),bind(I,$thf( s0 ))]]) ).
thf(5984,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[5933,19]) ).
thf(5985,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[5984]) ).
thf(5986,plain,
s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[5985:[bind(A,$thf( s0 )),bind(B,$thf( s0 )),bind(C,$thf( s1 )),bind(D,$thf( s0 )),bind(E,$thf( s0 )),bind(F,$thf( s0 )),bind(G,$thf( s1 )),bind(H,$thf( s0 ))]]) ).
thf(6018,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[5986,17]) ).
thf(6019,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[6018]) ).
thf(6020,plain,
s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[6019:[bind(A,$thf( s0 )),bind(B,$thf( s0 )),bind(C,$thf( s1 )),bind(D,$thf( s0 )),bind(E,$thf( s0 )),bind(F,$thf( s0 )),bind(G,$thf( s1 )),bind(H,$thf( s0 )),bind(I,$thf( s1 ))]]) ).
thf(6057,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s0 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s1 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[6020,21]) ).
thf(6058,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s0 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s1 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[6057]) ).
thf(6059,plain,
s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[6058:[bind(A,$thf( s0 )),bind(B,$thf( s0 )),bind(C,$thf( s1 )),bind(D,$thf( s0 )),bind(E,$thf( s0 )),bind(F,$thf( s0 )),bind(G,$thf( s1 ))]]) ).
thf(6104,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[6059,17]) ).
thf(6105,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[6104]) ).
thf(6106,plain,
s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[6105:[bind(A,$thf( s0 )),bind(B,$thf( s0 )),bind(C,$thf( s1 )),bind(D,$thf( s0 )),bind(E,$thf( s0 )),bind(F,$thf( s0 )),bind(G,$thf( s1 )),bind(H,$thf( s1 )),bind(I,$thf( s0 ))]]) ).
thf(6157,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[6106,19]) ).
thf(6158,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[6157]) ).
thf(6159,plain,
s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[6158:[bind(A,$thf( s0 )),bind(B,$thf( s0 )),bind(C,$thf( s1 )),bind(D,$thf( s0 )),bind(E,$thf( s0 )),bind(F,$thf( s0 )),bind(G,$thf( s1 )),bind(H,$thf( s1 ))]]) ).
thf(6190,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[6159,17]) ).
thf(6191,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[6190]) ).
thf(6192,plain,
s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[6191:[bind(A,$thf( s0 )),bind(B,$thf( s0 )),bind(C,$thf( s1 )),bind(D,$thf( s0 )),bind(E,$thf( s0 )),bind(F,$thf( s0 )),bind(G,$thf( s1 )),bind(H,$thf( s1 )),bind(I,$thf( s1 ))]]) ).
thf(6223,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[6192,25]) ).
thf(6224,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[6223]) ).
thf(6225,plain,
s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[6224:[bind(A,$thf( s0 )),bind(B,$thf( s0 )),bind(C,$thf( s1 )),bind(D,$thf( s0 )),bind(E,$thf( s0 ))]]) ).
thf(6276,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[6225,17]) ).
thf(6277,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[6276]) ).
thf(6278,plain,
s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[6277:[bind(A,$thf( s0 )),bind(B,$thf( s0 )),bind(C,$thf( s1 )),bind(D,$thf( s0 )),bind(E,$thf( s0 )),bind(F,$thf( s1 )),bind(G,$thf( s0 )),bind(H,$thf( s0 )),bind(I,$thf( s0 ))]]) ).
thf(6331,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[6278,19]) ).
thf(6332,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[6331]) ).
thf(6333,plain,
s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[6332:[bind(A,$thf( s0 )),bind(B,$thf( s0 )),bind(C,$thf( s1 )),bind(D,$thf( s0 )),bind(E,$thf( s0 )),bind(F,$thf( s1 )),bind(G,$thf( s0 )),bind(H,$thf( s0 ))]]) ).
thf(6364,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[6333,17]) ).
thf(6365,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[6364]) ).
thf(6366,plain,
s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[6365:[bind(A,$thf( s0 )),bind(B,$thf( s0 )),bind(C,$thf( s1 )),bind(D,$thf( s0 )),bind(E,$thf( s0 )),bind(F,$thf( s1 )),bind(G,$thf( s0 )),bind(H,$thf( s0 )),bind(I,$thf( s1 ))]]) ).
thf(6403,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s0 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s1 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[6366,21]) ).
thf(6404,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s0 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s1 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[6403]) ).
thf(6405,plain,
s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[6404:[bind(A,$thf( s0 )),bind(B,$thf( s0 )),bind(C,$thf( s1 )),bind(D,$thf( s0 )),bind(E,$thf( s0 )),bind(F,$thf( s1 )),bind(G,$thf( s0 ))]]) ).
thf(6451,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[6405,17]) ).
thf(6452,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[6451]) ).
thf(6453,plain,
s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[6452:[bind(A,$thf( s0 )),bind(B,$thf( s0 )),bind(C,$thf( s1 )),bind(D,$thf( s0 )),bind(E,$thf( s0 )),bind(F,$thf( s1 )),bind(G,$thf( s0 )),bind(H,$thf( s1 )),bind(I,$thf( s0 ))]]) ).
thf(6504,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[6453,19]) ).
thf(6505,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[6504]) ).
thf(6506,plain,
s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[6505:[bind(A,$thf( s0 )),bind(B,$thf( s0 )),bind(C,$thf( s1 )),bind(D,$thf( s0 )),bind(E,$thf( s0 )),bind(F,$thf( s1 )),bind(G,$thf( s0 )),bind(H,$thf( s1 ))]]) ).
thf(6537,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[6506,17]) ).
thf(6538,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[6537]) ).
thf(6539,plain,
s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[6538:[bind(A,$thf( s0 )),bind(B,$thf( s0 )),bind(C,$thf( s1 )),bind(D,$thf( s0 )),bind(E,$thf( s0 )),bind(F,$thf( s1 )),bind(G,$thf( s0 )),bind(H,$thf( s1 )),bind(I,$thf( s1 ))]]) ).
thf(6588,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[6539,23]) ).
thf(6589,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[6588]) ).
thf(6590,plain,
s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[6589:[bind(A,$thf( s0 )),bind(B,$thf( s0 )),bind(C,$thf( s1 )),bind(D,$thf( s0 )),bind(E,$thf( s0 )),bind(F,$thf( s1 ))]]) ).
thf(6625,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[6590,17]) ).
thf(6626,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[6625]) ).
thf(6627,plain,
s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[6626:[bind(A,$thf( s0 )),bind(B,$thf( s0 )),bind(C,$thf( s1 )),bind(D,$thf( s0 )),bind(E,$thf( s0 )),bind(F,$thf( s1 )),bind(G,$thf( s1 )),bind(H,$thf( s0 )),bind(I,$thf( s0 ))]]) ).
thf(6678,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[6627,19]) ).
thf(6679,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[6678]) ).
thf(6680,plain,
s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[6679:[bind(A,$thf( s0 )),bind(B,$thf( s0 )),bind(C,$thf( s1 )),bind(D,$thf( s0 )),bind(E,$thf( s0 )),bind(F,$thf( s1 )),bind(G,$thf( s1 )),bind(H,$thf( s0 ))]]) ).
thf(6711,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[6680,17]) ).
thf(6712,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[6711]) ).
thf(6713,plain,
s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[6712:[bind(A,$thf( s0 )),bind(B,$thf( s0 )),bind(C,$thf( s1 )),bind(D,$thf( s0 )),bind(E,$thf( s0 )),bind(F,$thf( s1 )),bind(G,$thf( s1 )),bind(H,$thf( s0 )),bind(I,$thf( s1 ))]]) ).
thf(6750,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s0 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s1 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[6713,21]) ).
thf(6751,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s0 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s1 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[6750]) ).
thf(6752,plain,
s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[6751:[bind(A,$thf( s0 )),bind(B,$thf( s0 )),bind(C,$thf( s1 )),bind(D,$thf( s0 )),bind(E,$thf( s0 )),bind(F,$thf( s1 )),bind(G,$thf( s1 ))]]) ).
thf(6797,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[6752,17]) ).
thf(6798,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[6797]) ).
thf(6799,plain,
s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[6798:[bind(A,$thf( s0 )),bind(B,$thf( s0 )),bind(C,$thf( s1 )),bind(D,$thf( s0 )),bind(E,$thf( s0 )),bind(F,$thf( s1 )),bind(G,$thf( s1 )),bind(H,$thf( s1 )),bind(I,$thf( s0 ))]]) ).
thf(6850,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[6799,19]) ).
thf(6851,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[6850]) ).
thf(6852,plain,
s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[6851:[bind(A,$thf( s0 )),bind(B,$thf( s0 )),bind(C,$thf( s1 )),bind(D,$thf( s0 )),bind(E,$thf( s0 )),bind(F,$thf( s1 )),bind(G,$thf( s1 )),bind(H,$thf( s1 ))]]) ).
thf(6883,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[6852,17]) ).
thf(6884,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[6883]) ).
thf(6885,plain,
s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[6884:[bind(A,$thf( s0 )),bind(B,$thf( s0 )),bind(C,$thf( s1 )),bind(D,$thf( s0 )),bind(E,$thf( s0 )),bind(F,$thf( s1 )),bind(G,$thf( s1 )),bind(H,$thf( s1 )),bind(I,$thf( s1 ))]]) ).
thf(6930,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[6885,27]) ).
thf(6931,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[6930]) ).
thf(6932,plain,
s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[6931:[bind(A,$thf( s0 )),bind(B,$thf( s0 )),bind(C,$thf( s1 )),bind(D,$thf( s0 ))]]) ).
thf(6971,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[6932,17]) ).
thf(6972,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[6971]) ).
thf(6973,plain,
s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[6972:[bind(A,$thf( s0 )),bind(B,$thf( s0 )),bind(C,$thf( s1 )),bind(D,$thf( s0 )),bind(E,$thf( s1 )),bind(F,$thf( s0 )),bind(G,$thf( s0 )),bind(H,$thf( s0 )),bind(I,$thf( s0 ))]]) ).
thf(7024,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[6973,19]) ).
thf(7025,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[7024]) ).
thf(7026,plain,
s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[7025:[bind(A,$thf( s0 )),bind(B,$thf( s0 )),bind(C,$thf( s1 )),bind(D,$thf( s0 )),bind(E,$thf( s1 )),bind(F,$thf( s0 )),bind(G,$thf( s0 )),bind(H,$thf( s0 ))]]) ).
thf(7058,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[7026,17]) ).
thf(7059,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[7058]) ).
thf(7060,plain,
s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[7059:[bind(A,$thf( s0 )),bind(B,$thf( s0 )),bind(C,$thf( s1 )),bind(D,$thf( s0 )),bind(E,$thf( s1 )),bind(F,$thf( s0 )),bind(G,$thf( s0 )),bind(H,$thf( s0 )),bind(I,$thf( s1 ))]]) ).
thf(7097,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s0 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s1 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[7060,21]) ).
thf(7098,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s0 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s1 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[7097]) ).
thf(7099,plain,
s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[7098:[bind(A,$thf( s0 )),bind(B,$thf( s0 )),bind(C,$thf( s1 )),bind(D,$thf( s0 )),bind(E,$thf( s1 )),bind(F,$thf( s0 )),bind(G,$thf( s0 ))]]) ).
thf(7144,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[7099,17]) ).
thf(7145,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[7144]) ).
thf(7146,plain,
s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[7145:[bind(A,$thf( s0 )),bind(B,$thf( s0 )),bind(C,$thf( s1 )),bind(D,$thf( s0 )),bind(E,$thf( s1 )),bind(F,$thf( s0 )),bind(G,$thf( s0 )),bind(H,$thf( s1 )),bind(I,$thf( s0 ))]]) ).
thf(7197,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[7146,19]) ).
thf(7198,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[7197]) ).
thf(7199,plain,
s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[7198:[bind(A,$thf( s0 )),bind(B,$thf( s0 )),bind(C,$thf( s1 )),bind(D,$thf( s0 )),bind(E,$thf( s1 )),bind(F,$thf( s0 )),bind(G,$thf( s0 )),bind(H,$thf( s1 ))]]) ).
thf(7231,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[7199,17]) ).
thf(7232,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[7231]) ).
thf(7233,plain,
s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[7232:[bind(A,$thf( s0 )),bind(B,$thf( s0 )),bind(C,$thf( s1 )),bind(D,$thf( s0 )),bind(E,$thf( s1 )),bind(F,$thf( s0 )),bind(G,$thf( s0 )),bind(H,$thf( s1 )),bind(I,$thf( s1 ))]]) ).
thf(7282,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[7233,23]) ).
thf(7283,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[7282]) ).
thf(7284,plain,
s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[7283:[bind(A,$thf( s0 )),bind(B,$thf( s0 )),bind(C,$thf( s1 )),bind(D,$thf( s0 )),bind(E,$thf( s1 )),bind(F,$thf( s0 ))]]) ).
thf(7317,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[7284,17]) ).
thf(7318,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[7317]) ).
thf(7319,plain,
s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[7318:[bind(A,$thf( s0 )),bind(B,$thf( s0 )),bind(C,$thf( s1 )),bind(D,$thf( s0 )),bind(E,$thf( s1 )),bind(F,$thf( s0 )),bind(G,$thf( s1 )),bind(H,$thf( s0 )),bind(I,$thf( s0 ))]]) ).
thf(7371,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[7319,19]) ).
thf(7372,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[7371]) ).
thf(7373,plain,
s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[7372:[bind(A,$thf( s0 )),bind(B,$thf( s0 )),bind(C,$thf( s1 )),bind(D,$thf( s0 )),bind(E,$thf( s1 )),bind(F,$thf( s0 )),bind(G,$thf( s1 )),bind(H,$thf( s0 ))]]) ).
thf(7404,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[7373,17]) ).
thf(7405,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[7404]) ).
thf(7406,plain,
s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[7405:[bind(A,$thf( s0 )),bind(B,$thf( s0 )),bind(C,$thf( s1 )),bind(D,$thf( s0 )),bind(E,$thf( s1 )),bind(F,$thf( s0 )),bind(G,$thf( s1 )),bind(H,$thf( s0 )),bind(I,$thf( s1 ))]]) ).
thf(7443,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s0 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s1 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[7406,21]) ).
thf(7444,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s0 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s1 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[7443]) ).
thf(7445,plain,
s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[7444:[bind(A,$thf( s0 )),bind(B,$thf( s0 )),bind(C,$thf( s1 )),bind(D,$thf( s0 )),bind(E,$thf( s1 )),bind(F,$thf( s0 )),bind(G,$thf( s1 ))]]) ).
thf(7490,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[7445,17]) ).
thf(7491,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[7490]) ).
thf(7492,plain,
s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[7491:[bind(A,$thf( s0 )),bind(B,$thf( s0 )),bind(C,$thf( s1 )),bind(D,$thf( s0 )),bind(E,$thf( s1 )),bind(F,$thf( s0 )),bind(G,$thf( s1 )),bind(H,$thf( s1 )),bind(I,$thf( s0 ))]]) ).
thf(7544,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[7492,19]) ).
thf(7545,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[7544]) ).
thf(7546,plain,
s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[7545:[bind(A,$thf( s0 )),bind(B,$thf( s0 )),bind(C,$thf( s1 )),bind(D,$thf( s0 )),bind(E,$thf( s1 )),bind(F,$thf( s0 )),bind(G,$thf( s1 )),bind(H,$thf( s1 ))]]) ).
thf(7577,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[7546,17]) ).
thf(7578,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[7577]) ).
thf(7579,plain,
s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[7578:[bind(A,$thf( s0 )),bind(B,$thf( s0 )),bind(C,$thf( s1 )),bind(D,$thf( s0 )),bind(E,$thf( s1 )),bind(F,$thf( s0 )),bind(G,$thf( s1 )),bind(H,$thf( s1 )),bind(I,$thf( s1 ))]]) ).
thf(7610,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[7579,25]) ).
thf(7611,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[7610]) ).
thf(7612,plain,
s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[7611:[bind(A,$thf( s0 )),bind(B,$thf( s0 )),bind(C,$thf( s1 )),bind(D,$thf( s0 )),bind(E,$thf( s1 ))]]) ).
thf(7664,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[7612,17]) ).
thf(7665,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[7664]) ).
thf(7666,plain,
s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[7665:[bind(A,$thf( s0 )),bind(B,$thf( s0 )),bind(C,$thf( s1 )),bind(D,$thf( s0 )),bind(E,$thf( s1 )),bind(F,$thf( s1 )),bind(G,$thf( s0 )),bind(H,$thf( s0 )),bind(I,$thf( s0 ))]]) ).
thf(7717,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[7666,19]) ).
thf(7718,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[7717]) ).
thf(7719,plain,
s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[7718:[bind(A,$thf( s0 )),bind(B,$thf( s0 )),bind(C,$thf( s1 )),bind(D,$thf( s0 )),bind(E,$thf( s1 )),bind(F,$thf( s1 )),bind(G,$thf( s0 )),bind(H,$thf( s0 ))]]) ).
thf(7750,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[7719,17]) ).
thf(7751,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[7750]) ).
thf(7752,plain,
s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[7751:[bind(A,$thf( s0 )),bind(B,$thf( s0 )),bind(C,$thf( s1 )),bind(D,$thf( s0 )),bind(E,$thf( s1 )),bind(F,$thf( s1 )),bind(G,$thf( s0 )),bind(H,$thf( s0 )),bind(I,$thf( s1 ))]]) ).
thf(7789,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s0 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s1 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[7752,21]) ).
thf(7790,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s0 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s1 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[7789]) ).
thf(7791,plain,
s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[7790:[bind(A,$thf( s0 )),bind(B,$thf( s0 )),bind(C,$thf( s1 )),bind(D,$thf( s0 )),bind(E,$thf( s1 )),bind(F,$thf( s1 )),bind(G,$thf( s0 ))]]) ).
thf(7837,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[7791,17]) ).
thf(7838,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[7837]) ).
thf(7839,plain,
s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[7838:[bind(A,$thf( s0 )),bind(B,$thf( s0 )),bind(C,$thf( s1 )),bind(D,$thf( s0 )),bind(E,$thf( s1 )),bind(F,$thf( s1 )),bind(G,$thf( s0 )),bind(H,$thf( s1 )),bind(I,$thf( s0 ))]]) ).
thf(7890,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[7839,19]) ).
thf(7891,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[7890]) ).
thf(7892,plain,
s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[7891:[bind(A,$thf( s0 )),bind(B,$thf( s0 )),bind(C,$thf( s1 )),bind(D,$thf( s0 )),bind(E,$thf( s1 )),bind(F,$thf( s1 )),bind(G,$thf( s0 )),bind(H,$thf( s1 ))]]) ).
thf(7923,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[7892,17]) ).
thf(7924,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[7923]) ).
thf(7925,plain,
s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[7924:[bind(A,$thf( s0 )),bind(B,$thf( s0 )),bind(C,$thf( s1 )),bind(D,$thf( s0 )),bind(E,$thf( s1 )),bind(F,$thf( s1 )),bind(G,$thf( s0 )),bind(H,$thf( s1 )),bind(I,$thf( s1 ))]]) ).
thf(7975,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[7925,23]) ).
thf(7976,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[7975]) ).
thf(7977,plain,
s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[7976:[bind(A,$thf( s0 )),bind(B,$thf( s0 )),bind(C,$thf( s1 )),bind(D,$thf( s0 )),bind(E,$thf( s1 )),bind(F,$thf( s1 ))]]) ).
thf(8010,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[7977,17]) ).
thf(8011,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[8010]) ).
thf(8012,plain,
s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[8011:[bind(A,$thf( s0 )),bind(B,$thf( s0 )),bind(C,$thf( s1 )),bind(D,$thf( s0 )),bind(E,$thf( s1 )),bind(F,$thf( s1 )),bind(G,$thf( s1 )),bind(H,$thf( s0 )),bind(I,$thf( s0 ))]]) ).
thf(8063,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[8012,19]) ).
thf(8064,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[8063]) ).
thf(8065,plain,
s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[8064:[bind(A,$thf( s0 )),bind(B,$thf( s0 )),bind(C,$thf( s1 )),bind(D,$thf( s0 )),bind(E,$thf( s1 )),bind(F,$thf( s1 )),bind(G,$thf( s1 )),bind(H,$thf( s0 ))]]) ).
thf(8096,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[8065,17]) ).
thf(8097,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[8096]) ).
thf(8098,plain,
s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[8097:[bind(A,$thf( s0 )),bind(B,$thf( s0 )),bind(C,$thf( s1 )),bind(D,$thf( s0 )),bind(E,$thf( s1 )),bind(F,$thf( s1 )),bind(G,$thf( s1 )),bind(H,$thf( s0 )),bind(I,$thf( s1 ))]]) ).
thf(8137,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s0 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s1 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[8098,21]) ).
thf(8138,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s0 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s1 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[8137]) ).
thf(8139,plain,
s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[8138:[bind(A,$thf( s0 )),bind(B,$thf( s0 )),bind(C,$thf( s1 )),bind(D,$thf( s0 )),bind(E,$thf( s1 )),bind(F,$thf( s1 )),bind(G,$thf( s1 ))]]) ).
thf(8184,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[8139,17]) ).
thf(8185,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[8184]) ).
thf(8186,plain,
s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[8185:[bind(A,$thf( s0 )),bind(B,$thf( s0 )),bind(C,$thf( s1 )),bind(D,$thf( s0 )),bind(E,$thf( s1 )),bind(F,$thf( s1 )),bind(G,$thf( s1 )),bind(H,$thf( s1 )),bind(I,$thf( s0 ))]]) ).
thf(8237,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[8186,19]) ).
thf(8238,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[8237]) ).
thf(8239,plain,
s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[8238:[bind(A,$thf( s0 )),bind(B,$thf( s0 )),bind(C,$thf( s1 )),bind(D,$thf( s0 )),bind(E,$thf( s1 )),bind(F,$thf( s1 )),bind(G,$thf( s1 )),bind(H,$thf( s1 ))]]) ).
thf(8270,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[8239,17]) ).
thf(8271,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[8270]) ).
thf(8272,plain,
s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[8271:[bind(A,$thf( s0 )),bind(B,$thf( s0 )),bind(C,$thf( s1 )),bind(D,$thf( s0 )),bind(E,$thf( s1 )),bind(F,$thf( s1 )),bind(G,$thf( s1 )),bind(H,$thf( s1 )),bind(I,$thf( s1 ))]]) ).
thf(8307,plain,
! [C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[8272,29]) ).
thf(8308,plain,
! [C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[8307]) ).
thf(8309,plain,
s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[8308:[bind(A,$thf( s0 )),bind(B,$thf( s0 )),bind(C,$thf( s1 ))]]) ).
thf(8356,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[8309,17]) ).
thf(8357,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[8356]) ).
thf(8358,plain,
s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[8357:[bind(A,$thf( s0 )),bind(B,$thf( s0 )),bind(C,$thf( s1 )),bind(D,$thf( s1 )),bind(E,$thf( s0 )),bind(F,$thf( s0 )),bind(G,$thf( s0 )),bind(H,$thf( s0 )),bind(I,$thf( s0 ))]]) ).
thf(8409,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[8358,19]) ).
thf(8410,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[8409]) ).
thf(8411,plain,
s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[8410:[bind(A,$thf( s0 )),bind(B,$thf( s0 )),bind(C,$thf( s1 )),bind(D,$thf( s1 )),bind(E,$thf( s0 )),bind(F,$thf( s0 )),bind(G,$thf( s0 )),bind(H,$thf( s0 ))]]) ).
thf(8444,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[8411,17]) ).
thf(8445,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[8444]) ).
thf(8446,plain,
s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[8445:[bind(A,$thf( s0 )),bind(B,$thf( s0 )),bind(C,$thf( s1 )),bind(D,$thf( s1 )),bind(E,$thf( s0 )),bind(F,$thf( s0 )),bind(G,$thf( s0 )),bind(H,$thf( s0 )),bind(I,$thf( s1 ))]]) ).
thf(8483,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s0 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s1 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[8446,21]) ).
thf(8484,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s0 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s1 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[8483]) ).
thf(8485,plain,
s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[8484:[bind(A,$thf( s0 )),bind(B,$thf( s0 )),bind(C,$thf( s1 )),bind(D,$thf( s1 )),bind(E,$thf( s0 )),bind(F,$thf( s0 )),bind(G,$thf( s0 ))]]) ).
thf(8530,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[8485,17]) ).
thf(8531,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[8530]) ).
thf(8532,plain,
s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[8531:[bind(A,$thf( s0 )),bind(B,$thf( s0 )),bind(C,$thf( s1 )),bind(D,$thf( s1 )),bind(E,$thf( s0 )),bind(F,$thf( s0 )),bind(G,$thf( s0 )),bind(H,$thf( s1 )),bind(I,$thf( s0 ))]]) ).
thf(8584,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[8532,19]) ).
thf(8585,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[8584]) ).
thf(8586,plain,
s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[8585:[bind(A,$thf( s0 )),bind(B,$thf( s0 )),bind(C,$thf( s1 )),bind(D,$thf( s1 )),bind(E,$thf( s0 )),bind(F,$thf( s0 )),bind(G,$thf( s0 )),bind(H,$thf( s1 ))]]) ).
thf(8617,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[8586,17]) ).
thf(8618,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[8617]) ).
thf(8619,plain,
s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[8618:[bind(A,$thf( s0 )),bind(B,$thf( s0 )),bind(C,$thf( s1 )),bind(D,$thf( s1 )),bind(E,$thf( s0 )),bind(F,$thf( s0 )),bind(G,$thf( s0 )),bind(H,$thf( s1 )),bind(I,$thf( s1 ))]]) ).
thf(8668,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[8619,23]) ).
thf(8669,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[8668]) ).
thf(8670,plain,
s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[8669:[bind(A,$thf( s0 )),bind(B,$thf( s0 )),bind(C,$thf( s1 )),bind(D,$thf( s1 )),bind(E,$thf( s0 )),bind(F,$thf( s0 ))]]) ).
thf(8703,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[8670,17]) ).
thf(8704,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[8703]) ).
thf(8705,plain,
s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[8704:[bind(A,$thf( s0 )),bind(B,$thf( s0 )),bind(C,$thf( s1 )),bind(D,$thf( s1 )),bind(E,$thf( s0 )),bind(F,$thf( s0 )),bind(G,$thf( s1 )),bind(H,$thf( s0 )),bind(I,$thf( s0 ))]]) ).
thf(8758,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[8705,19]) ).
thf(8759,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[8758]) ).
thf(8760,plain,
s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[8759:[bind(A,$thf( s0 )),bind(B,$thf( s0 )),bind(C,$thf( s1 )),bind(D,$thf( s1 )),bind(E,$thf( s0 )),bind(F,$thf( s0 )),bind(G,$thf( s1 )),bind(H,$thf( s0 ))]]) ).
thf(8791,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[8760,17]) ).
thf(8792,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[8791]) ).
thf(8793,plain,
s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[8792:[bind(A,$thf( s0 )),bind(B,$thf( s0 )),bind(C,$thf( s1 )),bind(D,$thf( s1 )),bind(E,$thf( s0 )),bind(F,$thf( s0 )),bind(G,$thf( s1 )),bind(H,$thf( s0 )),bind(I,$thf( s1 ))]]) ).
thf(8830,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s0 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s1 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[8793,21]) ).
thf(8831,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s0 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s1 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[8830]) ).
thf(8832,plain,
s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[8831:[bind(A,$thf( s0 )),bind(B,$thf( s0 )),bind(C,$thf( s1 )),bind(D,$thf( s1 )),bind(E,$thf( s0 )),bind(F,$thf( s0 )),bind(G,$thf( s1 ))]]) ).
thf(8877,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[8832,17]) ).
thf(8878,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[8877]) ).
thf(8879,plain,
s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[8878:[bind(A,$thf( s0 )),bind(B,$thf( s0 )),bind(C,$thf( s1 )),bind(D,$thf( s1 )),bind(E,$thf( s0 )),bind(F,$thf( s0 )),bind(G,$thf( s1 )),bind(H,$thf( s1 )),bind(I,$thf( s0 ))]]) ).
thf(8930,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[8879,19]) ).
thf(8931,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[8930]) ).
thf(8932,plain,
s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[8931:[bind(A,$thf( s0 )),bind(B,$thf( s0 )),bind(C,$thf( s1 )),bind(D,$thf( s1 )),bind(E,$thf( s0 )),bind(F,$thf( s0 )),bind(G,$thf( s1 )),bind(H,$thf( s1 ))]]) ).
thf(8963,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[8932,17]) ).
thf(8964,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[8963]) ).
thf(8965,plain,
s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[8964:[bind(A,$thf( s0 )),bind(B,$thf( s0 )),bind(C,$thf( s1 )),bind(D,$thf( s1 )),bind(E,$thf( s0 )),bind(F,$thf( s0 )),bind(G,$thf( s1 )),bind(H,$thf( s1 )),bind(I,$thf( s1 ))]]) ).
thf(8996,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[8965,25]) ).
thf(8997,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[8996]) ).
thf(8998,plain,
s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[8997:[bind(A,$thf( s0 )),bind(B,$thf( s0 )),bind(C,$thf( s1 )),bind(D,$thf( s1 )),bind(E,$thf( s0 ))]]) ).
thf(9051,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[8998,17]) ).
thf(9052,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[9051]) ).
thf(9053,plain,
s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[9052:[bind(A,$thf( s0 )),bind(B,$thf( s0 )),bind(C,$thf( s1 )),bind(D,$thf( s1 )),bind(E,$thf( s0 )),bind(F,$thf( s1 )),bind(G,$thf( s0 )),bind(H,$thf( s0 )),bind(I,$thf( s0 ))]]) ).
thf(9104,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[9053,19]) ).
thf(9105,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[9104]) ).
thf(9106,plain,
s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[9105:[bind(A,$thf( s0 )),bind(B,$thf( s0 )),bind(C,$thf( s1 )),bind(D,$thf( s1 )),bind(E,$thf( s0 )),bind(F,$thf( s1 )),bind(G,$thf( s0 )),bind(H,$thf( s0 ))]]) ).
thf(9137,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[9106,17]) ).
thf(9138,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[9137]) ).
thf(9139,plain,
s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[9138:[bind(A,$thf( s0 )),bind(B,$thf( s0 )),bind(C,$thf( s1 )),bind(D,$thf( s1 )),bind(E,$thf( s0 )),bind(F,$thf( s1 )),bind(G,$thf( s0 )),bind(H,$thf( s0 )),bind(I,$thf( s1 ))]]) ).
thf(9177,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s0 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s1 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[9139,21]) ).
thf(9178,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s0 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s1 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[9177]) ).
thf(9179,plain,
s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[9178:[bind(A,$thf( s0 )),bind(B,$thf( s0 )),bind(C,$thf( s1 )),bind(D,$thf( s1 )),bind(E,$thf( s0 )),bind(F,$thf( s1 )),bind(G,$thf( s0 ))]]) ).
thf(9224,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[9179,17]) ).
thf(9225,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[9224]) ).
thf(9226,plain,
s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[9225:[bind(A,$thf( s0 )),bind(B,$thf( s0 )),bind(C,$thf( s1 )),bind(D,$thf( s1 )),bind(E,$thf( s0 )),bind(F,$thf( s1 )),bind(G,$thf( s0 )),bind(H,$thf( s1 )),bind(I,$thf( s0 ))]]) ).
thf(9277,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[9226,19]) ).
thf(9278,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[9277]) ).
thf(9279,plain,
s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[9278:[bind(A,$thf( s0 )),bind(B,$thf( s0 )),bind(C,$thf( s1 )),bind(D,$thf( s1 )),bind(E,$thf( s0 )),bind(F,$thf( s1 )),bind(G,$thf( s0 )),bind(H,$thf( s1 ))]]) ).
thf(9310,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[9279,17]) ).
thf(9311,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[9310]) ).
thf(9312,plain,
s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[9311:[bind(A,$thf( s0 )),bind(B,$thf( s0 )),bind(C,$thf( s1 )),bind(D,$thf( s1 )),bind(E,$thf( s0 )),bind(F,$thf( s1 )),bind(G,$thf( s0 )),bind(H,$thf( s1 )),bind(I,$thf( s1 ))]]) ).
thf(9363,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[9312,23]) ).
thf(9364,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[9363]) ).
thf(9365,plain,
s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[9364:[bind(A,$thf( s0 )),bind(B,$thf( s0 )),bind(C,$thf( s1 )),bind(D,$thf( s1 )),bind(E,$thf( s0 )),bind(F,$thf( s1 ))]]) ).
thf(9398,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[9365,17]) ).
thf(9399,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[9398]) ).
thf(9400,plain,
s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[9399:[bind(A,$thf( s0 )),bind(B,$thf( s0 )),bind(C,$thf( s1 )),bind(D,$thf( s1 )),bind(E,$thf( s0 )),bind(F,$thf( s1 )),bind(G,$thf( s1 )),bind(H,$thf( s0 )),bind(I,$thf( s0 ))]]) ).
thf(9451,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[9400,19]) ).
thf(9452,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[9451]) ).
thf(9453,plain,
s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[9452:[bind(A,$thf( s0 )),bind(B,$thf( s0 )),bind(C,$thf( s1 )),bind(D,$thf( s1 )),bind(E,$thf( s0 )),bind(F,$thf( s1 )),bind(G,$thf( s1 )),bind(H,$thf( s0 ))]]) ).
thf(9485,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[9453,17]) ).
thf(9486,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[9485]) ).
thf(9487,plain,
s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[9486:[bind(A,$thf( s0 )),bind(B,$thf( s0 )),bind(C,$thf( s1 )),bind(D,$thf( s1 )),bind(E,$thf( s0 )),bind(F,$thf( s1 )),bind(G,$thf( s1 )),bind(H,$thf( s0 )),bind(I,$thf( s1 ))]]) ).
thf(9524,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s0 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s1 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[9487,21]) ).
thf(9525,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s0 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s1 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[9524]) ).
thf(9526,plain,
s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[9525:[bind(A,$thf( s0 )),bind(B,$thf( s0 )),bind(C,$thf( s1 )),bind(D,$thf( s1 )),bind(E,$thf( s0 )),bind(F,$thf( s1 )),bind(G,$thf( s1 ))]]) ).
thf(9571,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[9526,17]) ).
thf(9572,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[9571]) ).
thf(9573,plain,
s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[9572:[bind(A,$thf( s0 )),bind(B,$thf( s0 )),bind(C,$thf( s1 )),bind(D,$thf( s1 )),bind(E,$thf( s0 )),bind(F,$thf( s1 )),bind(G,$thf( s1 )),bind(H,$thf( s1 )),bind(I,$thf( s0 ))]]) ).
thf(9624,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[9573,19]) ).
thf(9625,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[9624]) ).
thf(9626,plain,
s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[9625:[bind(A,$thf( s0 )),bind(B,$thf( s0 )),bind(C,$thf( s1 )),bind(D,$thf( s1 )),bind(E,$thf( s0 )),bind(F,$thf( s1 )),bind(G,$thf( s1 )),bind(H,$thf( s1 ))]]) ).
thf(9657,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[9626,17]) ).
thf(9658,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[9657]) ).
thf(9659,plain,
s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[9658:[bind(A,$thf( s0 )),bind(B,$thf( s0 )),bind(C,$thf( s1 )),bind(D,$thf( s1 )),bind(E,$thf( s0 )),bind(F,$thf( s1 )),bind(G,$thf( s1 )),bind(H,$thf( s1 )),bind(I,$thf( s1 ))]]) ).
thf(9702,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[9659,27]) ).
thf(9703,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[9702]) ).
thf(9704,plain,
s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[9703:[bind(A,$thf( s0 )),bind(B,$thf( s0 )),bind(C,$thf( s1 )),bind(D,$thf( s1 ))]]) ).
thf(9743,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[9704,17]) ).
thf(9744,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[9743]) ).
thf(9745,plain,
s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[9744:[bind(A,$thf( s0 )),bind(B,$thf( s0 )),bind(C,$thf( s1 )),bind(D,$thf( s1 )),bind(E,$thf( s1 )),bind(F,$thf( s0 )),bind(G,$thf( s0 )),bind(H,$thf( s0 )),bind(I,$thf( s0 ))]]) ).
thf(9796,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[9745,19]) ).
thf(9797,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[9796]) ).
thf(9798,plain,
s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[9797:[bind(A,$thf( s0 )),bind(B,$thf( s0 )),bind(C,$thf( s1 )),bind(D,$thf( s1 )),bind(E,$thf( s1 )),bind(F,$thf( s0 )),bind(G,$thf( s0 )),bind(H,$thf( s0 ))]]) ).
thf(9829,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[9798,17]) ).
thf(9830,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[9829]) ).
thf(9831,plain,
s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[9830:[bind(A,$thf( s0 )),bind(B,$thf( s0 )),bind(C,$thf( s1 )),bind(D,$thf( s1 )),bind(E,$thf( s1 )),bind(F,$thf( s0 )),bind(G,$thf( s0 )),bind(H,$thf( s0 )),bind(I,$thf( s1 ))]]) ).
thf(9870,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s0 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s1 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[9831,21]) ).
thf(9871,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s0 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s1 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[9870]) ).
thf(9872,plain,
s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[9871:[bind(A,$thf( s0 )),bind(B,$thf( s0 )),bind(C,$thf( s1 )),bind(D,$thf( s1 )),bind(E,$thf( s1 )),bind(F,$thf( s0 )),bind(G,$thf( s0 ))]]) ).
thf(9915,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[9872,17]) ).
thf(9916,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[9915]) ).
thf(9917,plain,
s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[9916:[bind(A,$thf( s0 )),bind(B,$thf( s0 )),bind(C,$thf( s1 )),bind(D,$thf( s1 )),bind(E,$thf( s1 )),bind(F,$thf( s0 )),bind(G,$thf( s0 )),bind(H,$thf( s1 )),bind(I,$thf( s0 ))]]) ).
thf(9970,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[9917,19]) ).
thf(9971,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[9970]) ).
thf(9972,plain,
s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[9971:[bind(A,$thf( s0 )),bind(B,$thf( s0 )),bind(C,$thf( s1 )),bind(D,$thf( s1 )),bind(E,$thf( s1 )),bind(F,$thf( s0 )),bind(G,$thf( s0 )),bind(H,$thf( s1 ))]]) ).
thf(10003,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[9972,17]) ).
thf(10004,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[10003]) ).
thf(10005,plain,
s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[10004:[bind(A,$thf( s0 )),bind(B,$thf( s0 )),bind(C,$thf( s1 )),bind(D,$thf( s1 )),bind(E,$thf( s1 )),bind(F,$thf( s0 )),bind(G,$thf( s0 )),bind(H,$thf( s1 )),bind(I,$thf( s1 ))]]) ).
thf(10054,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[10005,23]) ).
thf(10055,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[10054]) ).
thf(10056,plain,
s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[10055:[bind(A,$thf( s0 )),bind(B,$thf( s0 )),bind(C,$thf( s1 )),bind(D,$thf( s1 )),bind(E,$thf( s1 )),bind(F,$thf( s0 ))]]) ).
thf(10090,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[10056,17]) ).
thf(10091,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[10090]) ).
thf(10092,plain,
s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[10091:[bind(A,$thf( s0 )),bind(B,$thf( s0 )),bind(C,$thf( s1 )),bind(D,$thf( s1 )),bind(E,$thf( s1 )),bind(F,$thf( s0 )),bind(G,$thf( s1 )),bind(H,$thf( s0 )),bind(I,$thf( s0 ))]]) ).
thf(10143,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[10092,19]) ).
thf(10144,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[10143]) ).
thf(10145,plain,
s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[10144:[bind(A,$thf( s0 )),bind(B,$thf( s0 )),bind(C,$thf( s1 )),bind(D,$thf( s1 )),bind(E,$thf( s1 )),bind(F,$thf( s0 )),bind(G,$thf( s1 )),bind(H,$thf( s0 ))]]) ).
thf(10176,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[10145,17]) ).
thf(10177,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[10176]) ).
thf(10178,plain,
s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[10177:[bind(A,$thf( s0 )),bind(B,$thf( s0 )),bind(C,$thf( s1 )),bind(D,$thf( s1 )),bind(E,$thf( s1 )),bind(F,$thf( s0 )),bind(G,$thf( s1 )),bind(H,$thf( s0 )),bind(I,$thf( s1 ))]]) ).
thf(10217,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s0 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s1 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[10178,21]) ).
thf(10218,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s0 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s1 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[10217]) ).
thf(10219,plain,
s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[10218:[bind(A,$thf( s0 )),bind(B,$thf( s0 )),bind(C,$thf( s1 )),bind(D,$thf( s1 )),bind(E,$thf( s1 )),bind(F,$thf( s0 )),bind(G,$thf( s1 ))]]) ).
thf(10263,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[10219,17]) ).
thf(10264,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[10263]) ).
thf(10265,plain,
s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[10264:[bind(A,$thf( s0 )),bind(B,$thf( s0 )),bind(C,$thf( s1 )),bind(D,$thf( s1 )),bind(E,$thf( s1 )),bind(F,$thf( s0 )),bind(G,$thf( s1 )),bind(H,$thf( s1 )),bind(I,$thf( s0 ))]]) ).
thf(10316,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[10265,19]) ).
thf(10317,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[10316]) ).
thf(10318,plain,
s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[10317:[bind(A,$thf( s0 )),bind(B,$thf( s0 )),bind(C,$thf( s1 )),bind(D,$thf( s1 )),bind(E,$thf( s1 )),bind(F,$thf( s0 )),bind(G,$thf( s1 )),bind(H,$thf( s1 ))]]) ).
thf(10349,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[10318,17]) ).
thf(10350,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[10349]) ).
thf(10351,plain,
s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[10350:[bind(A,$thf( s0 )),bind(B,$thf( s0 )),bind(C,$thf( s1 )),bind(D,$thf( s1 )),bind(E,$thf( s1 )),bind(F,$thf( s0 )),bind(G,$thf( s1 )),bind(H,$thf( s1 )),bind(I,$thf( s1 ))]]) ).
thf(10383,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[10351,25]) ).
thf(10384,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[10383]) ).
thf(10385,plain,
s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[10384:[bind(A,$thf( s0 )),bind(B,$thf( s0 )),bind(C,$thf( s1 )),bind(D,$thf( s1 )),bind(E,$thf( s1 ))]]) ).
thf(10436,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[10385,17]) ).
thf(10437,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[10436]) ).
thf(10438,plain,
s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[10437:[bind(A,$thf( s0 )),bind(B,$thf( s0 )),bind(C,$thf( s1 )),bind(D,$thf( s1 )),bind(E,$thf( s1 )),bind(F,$thf( s1 )),bind(G,$thf( s0 )),bind(H,$thf( s0 )),bind(I,$thf( s0 ))]]) ).
thf(10489,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[10438,19]) ).
thf(10490,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[10489]) ).
thf(10491,plain,
s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[10490:[bind(A,$thf( s0 )),bind(B,$thf( s0 )),bind(C,$thf( s1 )),bind(D,$thf( s1 )),bind(E,$thf( s1 )),bind(F,$thf( s1 )),bind(G,$thf( s0 )),bind(H,$thf( s0 ))]]) ).
thf(10522,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[10491,17]) ).
thf(10523,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[10522]) ).
thf(10524,plain,
s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[10523:[bind(A,$thf( s0 )),bind(B,$thf( s0 )),bind(C,$thf( s1 )),bind(D,$thf( s1 )),bind(E,$thf( s1 )),bind(F,$thf( s1 )),bind(G,$thf( s0 )),bind(H,$thf( s0 )),bind(I,$thf( s1 ))]]) ).
thf(10565,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s0 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s1 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[10524,21]) ).
thf(10566,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s0 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s1 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[10565]) ).
thf(10567,plain,
s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[10566:[bind(A,$thf( s0 )),bind(B,$thf( s0 )),bind(C,$thf( s1 )),bind(D,$thf( s1 )),bind(E,$thf( s1 )),bind(F,$thf( s1 )),bind(G,$thf( s0 ))]]) ).
thf(10610,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[10567,17]) ).
thf(10611,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[10610]) ).
thf(10612,plain,
s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[10611:[bind(A,$thf( s0 )),bind(B,$thf( s0 )),bind(C,$thf( s1 )),bind(D,$thf( s1 )),bind(E,$thf( s1 )),bind(F,$thf( s1 )),bind(G,$thf( s0 )),bind(H,$thf( s1 )),bind(I,$thf( s0 ))]]) ).
thf(10663,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[10612,19]) ).
thf(10664,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[10663]) ).
thf(10665,plain,
s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[10664:[bind(A,$thf( s0 )),bind(B,$thf( s0 )),bind(C,$thf( s1 )),bind(D,$thf( s1 )),bind(E,$thf( s1 )),bind(F,$thf( s1 )),bind(G,$thf( s0 )),bind(H,$thf( s1 ))]]) ).
thf(10697,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[10665,17]) ).
thf(10698,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[10697]) ).
thf(10699,plain,
s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[10698:[bind(A,$thf( s0 )),bind(B,$thf( s0 )),bind(C,$thf( s1 )),bind(D,$thf( s1 )),bind(E,$thf( s1 )),bind(F,$thf( s1 )),bind(G,$thf( s0 )),bind(H,$thf( s1 )),bind(I,$thf( s1 ))]]) ).
thf(10748,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[10699,23]) ).
thf(10749,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[10748]) ).
thf(10750,plain,
s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[10749:[bind(A,$thf( s0 )),bind(B,$thf( s0 )),bind(C,$thf( s1 )),bind(D,$thf( s1 )),bind(E,$thf( s1 )),bind(F,$thf( s1 ))]]) ).
thf(10783,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[10750,17]) ).
thf(10784,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[10783]) ).
thf(10785,plain,
s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[10784:[bind(A,$thf( s0 )),bind(B,$thf( s0 )),bind(C,$thf( s1 )),bind(D,$thf( s1 )),bind(E,$thf( s1 )),bind(F,$thf( s1 )),bind(G,$thf( s1 )),bind(H,$thf( s0 )),bind(I,$thf( s0 ))]]) ).
thf(10836,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[10785,19]) ).
thf(10837,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[10836]) ).
thf(10838,plain,
s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[10837:[bind(A,$thf( s0 )),bind(B,$thf( s0 )),bind(C,$thf( s1 )),bind(D,$thf( s1 )),bind(E,$thf( s1 )),bind(F,$thf( s1 )),bind(G,$thf( s1 )),bind(H,$thf( s0 ))]]) ).
thf(10871,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[10838,17]) ).
thf(10872,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[10871]) ).
thf(10873,plain,
s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[10872:[bind(A,$thf( s0 )),bind(B,$thf( s0 )),bind(C,$thf( s1 )),bind(D,$thf( s1 )),bind(E,$thf( s1 )),bind(F,$thf( s1 )),bind(G,$thf( s1 )),bind(H,$thf( s0 )),bind(I,$thf( s1 ))]]) ).
thf(10912,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s0 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s1 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[10873,21]) ).
thf(10913,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s0 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s1 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[10912]) ).
thf(10914,plain,
s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[10913:[bind(A,$thf( s0 )),bind(B,$thf( s0 )),bind(C,$thf( s1 )),bind(D,$thf( s1 )),bind(E,$thf( s1 )),bind(F,$thf( s1 )),bind(G,$thf( s1 ))]]) ).
thf(10957,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[10914,17]) ).
thf(10958,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[10957]) ).
thf(10959,plain,
s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[10958:[bind(A,$thf( s0 )),bind(B,$thf( s0 )),bind(C,$thf( s1 )),bind(D,$thf( s1 )),bind(E,$thf( s1 )),bind(F,$thf( s1 )),bind(G,$thf( s1 )),bind(H,$thf( s1 )),bind(I,$thf( s0 ))]]) ).
thf(11011,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[10959,19]) ).
thf(11012,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[11011]) ).
thf(11013,plain,
s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[11012:[bind(A,$thf( s0 )),bind(B,$thf( s0 )),bind(C,$thf( s1 )),bind(D,$thf( s1 )),bind(E,$thf( s1 )),bind(F,$thf( s1 )),bind(G,$thf( s1 )),bind(H,$thf( s1 ))]]) ).
thf(11044,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[11013,17]) ).
thf(11045,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[11044]) ).
thf(11046,plain,
s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[11045:[bind(A,$thf( s0 )),bind(B,$thf( s0 )),bind(C,$thf( s1 )),bind(D,$thf( s1 )),bind(E,$thf( s1 )),bind(F,$thf( s1 )),bind(G,$thf( s1 )),bind(H,$thf( s1 )),bind(I,$thf( s1 ))]]) ).
thf(11,axiom,
! [A: $i] :
( ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule9) ).
thf(32,plain,
! [A: $i] :
( ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(33,plain,
! [A: $i] :
( ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[32]) ).
thf(11083,plain,
! [A: $i] :
( ( ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[11046,33]) ).
thf(11084,plain,
! [A: $i] :
( ( ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[11083]) ).
thf(11085,plain,
s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[11084:[bind(A,$thf( s0 ))]]) ).
thf(11130,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[11085,17]) ).
thf(11131,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[11130]) ).
thf(11132,plain,
s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[11131:[bind(A,$thf( s0 )),bind(B,$thf( s1 )),bind(C,$thf( s0 )),bind(D,$thf( s0 )),bind(E,$thf( s0 )),bind(F,$thf( s0 )),bind(G,$thf( s0 )),bind(H,$thf( s0 )),bind(I,$thf( s0 ))]]) ).
thf(11185,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[11132,19]) ).
thf(11186,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[11185]) ).
thf(11187,plain,
s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[11186:[bind(A,$thf( s0 )),bind(B,$thf( s1 )),bind(C,$thf( s0 )),bind(D,$thf( s0 )),bind(E,$thf( s0 )),bind(F,$thf( s0 )),bind(G,$thf( s0 )),bind(H,$thf( s0 ))]]) ).
thf(11218,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[11187,17]) ).
thf(11219,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[11218]) ).
thf(11220,plain,
s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[11219:[bind(A,$thf( s0 )),bind(B,$thf( s1 )),bind(C,$thf( s0 )),bind(D,$thf( s0 )),bind(E,$thf( s0 )),bind(F,$thf( s0 )),bind(G,$thf( s0 )),bind(H,$thf( s0 )),bind(I,$thf( s1 ))]]) ).
thf(11259,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s0 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s1 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[11220,21]) ).
thf(11260,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s0 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s1 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[11259]) ).
thf(11261,plain,
s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[11260:[bind(A,$thf( s0 )),bind(B,$thf( s1 )),bind(C,$thf( s0 )),bind(D,$thf( s0 )),bind(E,$thf( s0 )),bind(F,$thf( s0 )),bind(G,$thf( s0 ))]]) ).
thf(11305,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[11261,17]) ).
thf(11306,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[11305]) ).
thf(11307,plain,
s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[11306:[bind(A,$thf( s0 )),bind(B,$thf( s1 )),bind(C,$thf( s0 )),bind(D,$thf( s0 )),bind(E,$thf( s0 )),bind(F,$thf( s0 )),bind(G,$thf( s0 )),bind(H,$thf( s1 )),bind(I,$thf( s0 ))]]) ).
thf(11358,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[11307,19]) ).
thf(11359,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[11358]) ).
thf(11360,plain,
s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[11359:[bind(A,$thf( s0 )),bind(B,$thf( s1 )),bind(C,$thf( s0 )),bind(D,$thf( s0 )),bind(E,$thf( s0 )),bind(F,$thf( s0 )),bind(G,$thf( s0 )),bind(H,$thf( s1 ))]]) ).
thf(11391,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[11360,17]) ).
thf(11392,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[11391]) ).
thf(11393,plain,
s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[11392:[bind(A,$thf( s0 )),bind(B,$thf( s1 )),bind(C,$thf( s0 )),bind(D,$thf( s0 )),bind(E,$thf( s0 )),bind(F,$thf( s0 )),bind(G,$thf( s0 )),bind(H,$thf( s1 )),bind(I,$thf( s1 ))]]) ).
thf(11442,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[11393,23]) ).
thf(11443,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[11442]) ).
thf(11444,plain,
s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[11443:[bind(A,$thf( s0 )),bind(B,$thf( s1 )),bind(C,$thf( s0 )),bind(D,$thf( s0 )),bind(E,$thf( s0 )),bind(F,$thf( s0 ))]]) ).
thf(11479,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[11444,17]) ).
thf(11480,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[11479]) ).
thf(11481,plain,
s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[11480:[bind(A,$thf( s0 )),bind(B,$thf( s1 )),bind(C,$thf( s0 )),bind(D,$thf( s0 )),bind(E,$thf( s0 )),bind(F,$thf( s0 )),bind(G,$thf( s1 )),bind(H,$thf( s0 )),bind(I,$thf( s0 ))]]) ).
thf(11532,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[11481,19]) ).
thf(11533,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[11532]) ).
thf(11534,plain,
s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[11533:[bind(A,$thf( s0 )),bind(B,$thf( s1 )),bind(C,$thf( s0 )),bind(D,$thf( s0 )),bind(E,$thf( s0 )),bind(F,$thf( s0 )),bind(G,$thf( s1 )),bind(H,$thf( s0 ))]]) ).
thf(11565,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[11534,17]) ).
thf(11566,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[11565]) ).
thf(11567,plain,
s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[11566:[bind(A,$thf( s0 )),bind(B,$thf( s1 )),bind(C,$thf( s0 )),bind(D,$thf( s0 )),bind(E,$thf( s0 )),bind(F,$thf( s0 )),bind(G,$thf( s1 )),bind(H,$thf( s0 )),bind(I,$thf( s1 ))]]) ).
thf(11607,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s0 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s1 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[11567,21]) ).
thf(11608,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s0 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s1 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[11607]) ).
thf(11609,plain,
s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[11608:[bind(A,$thf( s0 )),bind(B,$thf( s1 )),bind(C,$thf( s0 )),bind(D,$thf( s0 )),bind(E,$thf( s0 )),bind(F,$thf( s0 )),bind(G,$thf( s1 ))]]) ).
thf(11652,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[11609,17]) ).
thf(11653,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[11652]) ).
thf(11654,plain,
s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[11653:[bind(A,$thf( s0 )),bind(B,$thf( s1 )),bind(C,$thf( s0 )),bind(D,$thf( s0 )),bind(E,$thf( s0 )),bind(F,$thf( s0 )),bind(G,$thf( s1 )),bind(H,$thf( s1 )),bind(I,$thf( s0 ))]]) ).
thf(11705,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[11654,19]) ).
thf(11706,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[11705]) ).
thf(11707,plain,
s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[11706:[bind(A,$thf( s0 )),bind(B,$thf( s1 )),bind(C,$thf( s0 )),bind(D,$thf( s0 )),bind(E,$thf( s0 )),bind(F,$thf( s0 )),bind(G,$thf( s1 )),bind(H,$thf( s1 ))]]) ).
thf(11738,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[11707,17]) ).
thf(11739,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[11738]) ).
thf(11740,plain,
s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[11739:[bind(A,$thf( s0 )),bind(B,$thf( s1 )),bind(C,$thf( s0 )),bind(D,$thf( s0 )),bind(E,$thf( s0 )),bind(F,$thf( s0 )),bind(G,$thf( s1 )),bind(H,$thf( s1 )),bind(I,$thf( s1 ))]]) ).
thf(11773,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[11740,25]) ).
thf(11774,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[11773]) ).
thf(11775,plain,
s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[11774:[bind(A,$thf( s0 )),bind(B,$thf( s1 )),bind(C,$thf( s0 )),bind(D,$thf( s0 )),bind(E,$thf( s0 ))]]) ).
thf(11826,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[11775,17]) ).
thf(11827,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[11826]) ).
thf(11828,plain,
s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[11827:[bind(A,$thf( s0 )),bind(B,$thf( s1 )),bind(C,$thf( s0 )),bind(D,$thf( s0 )),bind(E,$thf( s0 )),bind(F,$thf( s1 )),bind(G,$thf( s0 )),bind(H,$thf( s0 )),bind(I,$thf( s0 ))]]) ).
thf(11879,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[11828,19]) ).
thf(11880,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[11879]) ).
thf(11881,plain,
s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[11880:[bind(A,$thf( s0 )),bind(B,$thf( s1 )),bind(C,$thf( s0 )),bind(D,$thf( s0 )),bind(E,$thf( s0 )),bind(F,$thf( s1 )),bind(G,$thf( s0 )),bind(H,$thf( s0 ))]]) ).
thf(11913,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[11881,17]) ).
thf(11914,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[11913]) ).
thf(11915,plain,
s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[11914:[bind(A,$thf( s0 )),bind(B,$thf( s1 )),bind(C,$thf( s0 )),bind(D,$thf( s0 )),bind(E,$thf( s0 )),bind(F,$thf( s1 )),bind(G,$thf( s0 )),bind(H,$thf( s0 )),bind(I,$thf( s1 ))]]) ).
thf(11954,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s0 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s1 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[11915,21]) ).
thf(11955,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s0 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s1 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[11954]) ).
thf(11956,plain,
s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[11955:[bind(A,$thf( s0 )),bind(B,$thf( s1 )),bind(C,$thf( s0 )),bind(D,$thf( s0 )),bind(E,$thf( s0 )),bind(F,$thf( s1 )),bind(G,$thf( s0 ))]]) ).
thf(11999,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[11956,17]) ).
thf(12000,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[11999]) ).
thf(12001,plain,
s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[12000:[bind(A,$thf( s0 )),bind(B,$thf( s1 )),bind(C,$thf( s0 )),bind(D,$thf( s0 )),bind(E,$thf( s0 )),bind(F,$thf( s1 )),bind(G,$thf( s0 )),bind(H,$thf( s1 )),bind(I,$thf( s0 ))]]) ).
thf(12052,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[12001,19]) ).
thf(12053,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[12052]) ).
thf(12054,plain,
s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[12053:[bind(A,$thf( s0 )),bind(B,$thf( s1 )),bind(C,$thf( s0 )),bind(D,$thf( s0 )),bind(E,$thf( s0 )),bind(F,$thf( s1 )),bind(G,$thf( s0 )),bind(H,$thf( s1 ))]]) ).
thf(12087,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[12054,17]) ).
thf(12088,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[12087]) ).
thf(12089,plain,
s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[12088:[bind(A,$thf( s0 )),bind(B,$thf( s1 )),bind(C,$thf( s0 )),bind(D,$thf( s0 )),bind(E,$thf( s0 )),bind(F,$thf( s1 )),bind(G,$thf( s0 )),bind(H,$thf( s1 )),bind(I,$thf( s1 ))]]) ).
thf(12138,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[12089,23]) ).
thf(12139,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[12138]) ).
thf(12140,plain,
s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[12139:[bind(A,$thf( s0 )),bind(B,$thf( s1 )),bind(C,$thf( s0 )),bind(D,$thf( s0 )),bind(E,$thf( s0 )),bind(F,$thf( s1 ))]]) ).
thf(12173,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[12140,17]) ).
thf(12174,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[12173]) ).
thf(12175,plain,
s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[12174:[bind(A,$thf( s0 )),bind(B,$thf( s1 )),bind(C,$thf( s0 )),bind(D,$thf( s0 )),bind(E,$thf( s0 )),bind(F,$thf( s1 )),bind(G,$thf( s1 )),bind(H,$thf( s0 )),bind(I,$thf( s0 ))]]) ).
thf(12227,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[12175,19]) ).
thf(12228,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[12227]) ).
thf(12229,plain,
s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[12228:[bind(A,$thf( s0 )),bind(B,$thf( s1 )),bind(C,$thf( s0 )),bind(D,$thf( s0 )),bind(E,$thf( s0 )),bind(F,$thf( s1 )),bind(G,$thf( s1 )),bind(H,$thf( s0 ))]]) ).
thf(12260,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[12229,17]) ).
thf(12261,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[12260]) ).
thf(12262,plain,
s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[12261:[bind(A,$thf( s0 )),bind(B,$thf( s1 )),bind(C,$thf( s0 )),bind(D,$thf( s0 )),bind(E,$thf( s0 )),bind(F,$thf( s1 )),bind(G,$thf( s1 )),bind(H,$thf( s0 )),bind(I,$thf( s1 ))]]) ).
thf(12301,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s0 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s1 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[12262,21]) ).
thf(12302,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s0 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s1 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[12301]) ).
thf(12303,plain,
s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[12302:[bind(A,$thf( s0 )),bind(B,$thf( s1 )),bind(C,$thf( s0 )),bind(D,$thf( s0 )),bind(E,$thf( s0 )),bind(F,$thf( s1 )),bind(G,$thf( s1 ))]]) ).
thf(12346,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[12303,17]) ).
thf(12347,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[12346]) ).
thf(12348,plain,
s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[12347:[bind(A,$thf( s0 )),bind(B,$thf( s1 )),bind(C,$thf( s0 )),bind(D,$thf( s0 )),bind(E,$thf( s0 )),bind(F,$thf( s1 )),bind(G,$thf( s1 )),bind(H,$thf( s1 )),bind(I,$thf( s0 ))]]) ).
thf(12401,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[12348,19]) ).
thf(12402,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[12401]) ).
thf(12403,plain,
s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[12402:[bind(A,$thf( s0 )),bind(B,$thf( s1 )),bind(C,$thf( s0 )),bind(D,$thf( s0 )),bind(E,$thf( s0 )),bind(F,$thf( s1 )),bind(G,$thf( s1 )),bind(H,$thf( s1 ))]]) ).
thf(12434,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[12403,17]) ).
thf(12435,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[12434]) ).
thf(12436,plain,
s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[12435:[bind(A,$thf( s0 )),bind(B,$thf( s1 )),bind(C,$thf( s0 )),bind(D,$thf( s0 )),bind(E,$thf( s0 )),bind(F,$thf( s1 )),bind(G,$thf( s1 )),bind(H,$thf( s1 )),bind(I,$thf( s1 ))]]) ).
thf(12479,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[12436,27]) ).
thf(12480,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[12479]) ).
thf(12481,plain,
s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[12480:[bind(A,$thf( s0 )),bind(B,$thf( s1 )),bind(C,$thf( s0 )),bind(D,$thf( s0 ))]]) ).
thf(12521,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[12481,17]) ).
thf(12522,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[12521]) ).
thf(12523,plain,
s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[12522:[bind(A,$thf( s0 )),bind(B,$thf( s1 )),bind(C,$thf( s0 )),bind(D,$thf( s0 )),bind(E,$thf( s1 )),bind(F,$thf( s0 )),bind(G,$thf( s0 )),bind(H,$thf( s0 )),bind(I,$thf( s0 ))]]) ).
thf(12574,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[12523,19]) ).
thf(12575,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[12574]) ).
thf(12576,plain,
s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[12575:[bind(A,$thf( s0 )),bind(B,$thf( s1 )),bind(C,$thf( s0 )),bind(D,$thf( s0 )),bind(E,$thf( s1 )),bind(F,$thf( s0 )),bind(G,$thf( s0 )),bind(H,$thf( s0 ))]]) ).
thf(12607,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[12576,17]) ).
thf(12608,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[12607]) ).
thf(12609,plain,
s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[12608:[bind(A,$thf( s0 )),bind(B,$thf( s1 )),bind(C,$thf( s0 )),bind(D,$thf( s0 )),bind(E,$thf( s1 )),bind(F,$thf( s0 )),bind(G,$thf( s0 )),bind(H,$thf( s0 )),bind(I,$thf( s1 ))]]) ).
thf(12648,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s0 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s1 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[12609,21]) ).
thf(12649,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s0 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s1 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[12648]) ).
thf(12650,plain,
s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[12649:[bind(A,$thf( s0 )),bind(B,$thf( s1 )),bind(C,$thf( s0 )),bind(D,$thf( s0 )),bind(E,$thf( s1 )),bind(F,$thf( s0 )),bind(G,$thf( s0 ))]]) ).
thf(12695,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[12650,17]) ).
thf(12696,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[12695]) ).
thf(12697,plain,
s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[12696:[bind(A,$thf( s0 )),bind(B,$thf( s1 )),bind(C,$thf( s0 )),bind(D,$thf( s0 )),bind(E,$thf( s1 )),bind(F,$thf( s0 )),bind(G,$thf( s0 )),bind(H,$thf( s1 )),bind(I,$thf( s0 ))]]) ).
thf(12748,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[12697,19]) ).
thf(12749,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[12748]) ).
thf(12750,plain,
s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[12749:[bind(A,$thf( s0 )),bind(B,$thf( s1 )),bind(C,$thf( s0 )),bind(D,$thf( s0 )),bind(E,$thf( s1 )),bind(F,$thf( s0 )),bind(G,$thf( s0 )),bind(H,$thf( s1 ))]]) ).
thf(12781,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[12750,17]) ).
thf(12782,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[12781]) ).
thf(12783,plain,
s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[12782:[bind(A,$thf( s0 )),bind(B,$thf( s1 )),bind(C,$thf( s0 )),bind(D,$thf( s0 )),bind(E,$thf( s1 )),bind(F,$thf( s0 )),bind(G,$thf( s0 )),bind(H,$thf( s1 )),bind(I,$thf( s1 ))]]) ).
thf(12832,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[12783,23]) ).
thf(12833,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[12832]) ).
thf(12834,plain,
s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[12833:[bind(A,$thf( s0 )),bind(B,$thf( s1 )),bind(C,$thf( s0 )),bind(D,$thf( s0 )),bind(E,$thf( s1 )),bind(F,$thf( s0 ))]]) ).
thf(12867,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[12834,17]) ).
thf(12868,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[12867]) ).
thf(12869,plain,
s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[12868:[bind(A,$thf( s0 )),bind(B,$thf( s1 )),bind(C,$thf( s0 )),bind(D,$thf( s0 )),bind(E,$thf( s1 )),bind(F,$thf( s0 )),bind(G,$thf( s1 )),bind(H,$thf( s0 )),bind(I,$thf( s0 ))]]) ).
thf(12920,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[12869,19]) ).
thf(12921,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[12920]) ).
thf(12922,plain,
s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[12921:[bind(A,$thf( s0 )),bind(B,$thf( s1 )),bind(C,$thf( s0 )),bind(D,$thf( s0 )),bind(E,$thf( s1 )),bind(F,$thf( s0 )),bind(G,$thf( s1 )),bind(H,$thf( s0 ))]]) ).
thf(12953,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[12922,17]) ).
thf(12954,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[12953]) ).
thf(12955,plain,
s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[12954:[bind(A,$thf( s0 )),bind(B,$thf( s1 )),bind(C,$thf( s0 )),bind(D,$thf( s0 )),bind(E,$thf( s1 )),bind(F,$thf( s0 )),bind(G,$thf( s1 )),bind(H,$thf( s0 )),bind(I,$thf( s1 ))]]) ).
thf(12996,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s0 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s1 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[12955,21]) ).
thf(12997,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s0 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s1 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[12996]) ).
thf(12998,plain,
s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[12997:[bind(A,$thf( s0 )),bind(B,$thf( s1 )),bind(C,$thf( s0 )),bind(D,$thf( s0 )),bind(E,$thf( s1 )),bind(F,$thf( s0 )),bind(G,$thf( s1 ))]]) ).
thf(13041,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[12998,17]) ).
thf(13042,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[13041]) ).
thf(13043,plain,
s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[13042:[bind(A,$thf( s0 )),bind(B,$thf( s1 )),bind(C,$thf( s0 )),bind(D,$thf( s0 )),bind(E,$thf( s1 )),bind(F,$thf( s0 )),bind(G,$thf( s1 )),bind(H,$thf( s1 )),bind(I,$thf( s0 ))]]) ).
thf(13094,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[13043,19]) ).
thf(13095,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[13094]) ).
thf(13096,plain,
s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[13095:[bind(A,$thf( s0 )),bind(B,$thf( s1 )),bind(C,$thf( s0 )),bind(D,$thf( s0 )),bind(E,$thf( s1 )),bind(F,$thf( s0 )),bind(G,$thf( s1 )),bind(H,$thf( s1 ))]]) ).
thf(13127,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[13096,17]) ).
thf(13128,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[13127]) ).
thf(13129,plain,
s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[13128:[bind(A,$thf( s0 )),bind(B,$thf( s1 )),bind(C,$thf( s0 )),bind(D,$thf( s0 )),bind(E,$thf( s1 )),bind(F,$thf( s0 )),bind(G,$thf( s1 )),bind(H,$thf( s1 )),bind(I,$thf( s1 ))]]) ).
thf(13160,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[13129,25]) ).
thf(13161,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[13160]) ).
thf(13162,plain,
s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[13161:[bind(A,$thf( s0 )),bind(B,$thf( s1 )),bind(C,$thf( s0 )),bind(D,$thf( s0 )),bind(E,$thf( s1 ))]]) ).
thf(13213,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[13162,17]) ).
thf(13214,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[13213]) ).
thf(13215,plain,
s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[13214:[bind(A,$thf( s0 )),bind(B,$thf( s1 )),bind(C,$thf( s0 )),bind(D,$thf( s0 )),bind(E,$thf( s1 )),bind(F,$thf( s1 )),bind(G,$thf( s0 )),bind(H,$thf( s0 )),bind(I,$thf( s0 ))]]) ).
thf(13266,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[13215,19]) ).
thf(13267,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[13266]) ).
thf(13268,plain,
s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[13267:[bind(A,$thf( s0 )),bind(B,$thf( s1 )),bind(C,$thf( s0 )),bind(D,$thf( s0 )),bind(E,$thf( s1 )),bind(F,$thf( s1 )),bind(G,$thf( s0 )),bind(H,$thf( s0 ))]]) ).
thf(13301,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[13268,17]) ).
thf(13302,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[13301]) ).
thf(13303,plain,
s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[13302:[bind(A,$thf( s0 )),bind(B,$thf( s1 )),bind(C,$thf( s0 )),bind(D,$thf( s0 )),bind(E,$thf( s1 )),bind(F,$thf( s1 )),bind(G,$thf( s0 )),bind(H,$thf( s0 )),bind(I,$thf( s1 ))]]) ).
thf(13342,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s0 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s1 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[13303,21]) ).
thf(13343,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s0 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s1 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[13342]) ).
thf(13344,plain,
s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[13343:[bind(A,$thf( s0 )),bind(B,$thf( s1 )),bind(C,$thf( s0 )),bind(D,$thf( s0 )),bind(E,$thf( s1 )),bind(F,$thf( s1 )),bind(G,$thf( s0 ))]]) ).
thf(13387,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[13344,17]) ).
thf(13388,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[13387]) ).
thf(13389,plain,
s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[13388:[bind(A,$thf( s0 )),bind(B,$thf( s1 )),bind(C,$thf( s0 )),bind(D,$thf( s0 )),bind(E,$thf( s1 )),bind(F,$thf( s1 )),bind(G,$thf( s0 )),bind(H,$thf( s1 )),bind(I,$thf( s0 ))]]) ).
thf(13441,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[13389,19]) ).
thf(13442,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[13441]) ).
thf(13443,plain,
s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[13442:[bind(A,$thf( s0 )),bind(B,$thf( s1 )),bind(C,$thf( s0 )),bind(D,$thf( s0 )),bind(E,$thf( s1 )),bind(F,$thf( s1 )),bind(G,$thf( s0 )),bind(H,$thf( s1 ))]]) ).
thf(13474,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[13443,17]) ).
thf(13475,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[13474]) ).
thf(13476,plain,
s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[13475:[bind(A,$thf( s0 )),bind(B,$thf( s1 )),bind(C,$thf( s0 )),bind(D,$thf( s0 )),bind(E,$thf( s1 )),bind(F,$thf( s1 )),bind(G,$thf( s0 )),bind(H,$thf( s1 )),bind(I,$thf( s1 ))]]) ).
thf(13525,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[13476,23]) ).
thf(13526,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[13525]) ).
thf(13527,plain,
s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[13526:[bind(A,$thf( s0 )),bind(B,$thf( s1 )),bind(C,$thf( s0 )),bind(D,$thf( s0 )),bind(E,$thf( s1 )),bind(F,$thf( s1 ))]]) ).
thf(13560,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[13527,17]) ).
thf(13561,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[13560]) ).
thf(13562,plain,
s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[13561:[bind(A,$thf( s0 )),bind(B,$thf( s1 )),bind(C,$thf( s0 )),bind(D,$thf( s0 )),bind(E,$thf( s1 )),bind(F,$thf( s1 )),bind(G,$thf( s1 )),bind(H,$thf( s0 )),bind(I,$thf( s0 ))]]) ).
thf(13615,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[13562,19]) ).
thf(13616,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[13615]) ).
thf(13617,plain,
s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[13616:[bind(A,$thf( s0 )),bind(B,$thf( s1 )),bind(C,$thf( s0 )),bind(D,$thf( s0 )),bind(E,$thf( s1 )),bind(F,$thf( s1 )),bind(G,$thf( s1 )),bind(H,$thf( s0 ))]]) ).
thf(13648,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[13617,17]) ).
thf(13649,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[13648]) ).
thf(13650,plain,
s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[13649:[bind(A,$thf( s0 )),bind(B,$thf( s1 )),bind(C,$thf( s0 )),bind(D,$thf( s0 )),bind(E,$thf( s1 )),bind(F,$thf( s1 )),bind(G,$thf( s1 )),bind(H,$thf( s0 )),bind(I,$thf( s1 ))]]) ).
thf(13689,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s0 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s1 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[13650,21]) ).
thf(13690,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s0 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s1 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[13689]) ).
thf(13691,plain,
s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[13690:[bind(A,$thf( s0 )),bind(B,$thf( s1 )),bind(C,$thf( s0 )),bind(D,$thf( s0 )),bind(E,$thf( s1 )),bind(F,$thf( s1 )),bind(G,$thf( s1 ))]]) ).
thf(13735,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[13691,17]) ).
thf(13736,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[13735]) ).
thf(13737,plain,
s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[13736:[bind(A,$thf( s0 )),bind(B,$thf( s1 )),bind(C,$thf( s0 )),bind(D,$thf( s0 )),bind(E,$thf( s1 )),bind(F,$thf( s1 )),bind(G,$thf( s1 )),bind(H,$thf( s1 )),bind(I,$thf( s0 ))]]) ).
thf(13788,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[13737,19]) ).
thf(13789,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[13788]) ).
thf(13790,plain,
s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[13789:[bind(A,$thf( s0 )),bind(B,$thf( s1 )),bind(C,$thf( s0 )),bind(D,$thf( s0 )),bind(E,$thf( s1 )),bind(F,$thf( s1 )),bind(G,$thf( s1 )),bind(H,$thf( s1 ))]]) ).
thf(13821,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[13790,17]) ).
thf(13822,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[13821]) ).
thf(13823,plain,
s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[13822:[bind(A,$thf( s0 )),bind(B,$thf( s1 )),bind(C,$thf( s0 )),bind(D,$thf( s0 )),bind(E,$thf( s1 )),bind(F,$thf( s1 )),bind(G,$thf( s1 )),bind(H,$thf( s1 )),bind(I,$thf( s1 ))]]) ).
thf(13858,plain,
! [C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[13823,29]) ).
thf(13859,plain,
! [C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[13858]) ).
thf(13860,plain,
s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[13859:[bind(A,$thf( s0 )),bind(B,$thf( s1 )),bind(C,$thf( s0 ))]]) ).
thf(13909,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[13860,17]) ).
thf(13910,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[13909]) ).
thf(13911,plain,
s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[13910:[bind(A,$thf( s0 )),bind(B,$thf( s1 )),bind(C,$thf( s0 )),bind(D,$thf( s1 )),bind(E,$thf( s0 )),bind(F,$thf( s0 )),bind(G,$thf( s0 )),bind(H,$thf( s0 )),bind(I,$thf( s0 ))]]) ).
thf(13962,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[13911,19]) ).
thf(13963,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[13962]) ).
thf(13964,plain,
s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[13963:[bind(A,$thf( s0 )),bind(B,$thf( s1 )),bind(C,$thf( s0 )),bind(D,$thf( s1 )),bind(E,$thf( s0 )),bind(F,$thf( s0 )),bind(G,$thf( s0 )),bind(H,$thf( s0 ))]]) ).
thf(13995,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[13964,17]) ).
thf(13996,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[13995]) ).
thf(13997,plain,
s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[13996:[bind(A,$thf( s0 )),bind(B,$thf( s1 )),bind(C,$thf( s0 )),bind(D,$thf( s1 )),bind(E,$thf( s0 )),bind(F,$thf( s0 )),bind(G,$thf( s0 )),bind(H,$thf( s0 )),bind(I,$thf( s1 ))]]) ).
thf(14037,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s0 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s1 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[13997,21]) ).
thf(14038,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s0 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s1 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[14037]) ).
thf(14039,plain,
s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[14038:[bind(A,$thf( s0 )),bind(B,$thf( s1 )),bind(C,$thf( s0 )),bind(D,$thf( s1 )),bind(E,$thf( s0 )),bind(F,$thf( s0 )),bind(G,$thf( s0 ))]]) ).
thf(14082,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[14039,17]) ).
thf(14083,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[14082]) ).
thf(14084,plain,
s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[14083:[bind(A,$thf( s0 )),bind(B,$thf( s1 )),bind(C,$thf( s0 )),bind(D,$thf( s1 )),bind(E,$thf( s0 )),bind(F,$thf( s0 )),bind(G,$thf( s0 )),bind(H,$thf( s1 )),bind(I,$thf( s0 ))]]) ).
thf(14135,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[14084,19]) ).
thf(14136,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[14135]) ).
thf(14137,plain,
s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[14136:[bind(A,$thf( s0 )),bind(B,$thf( s1 )),bind(C,$thf( s0 )),bind(D,$thf( s1 )),bind(E,$thf( s0 )),bind(F,$thf( s0 )),bind(G,$thf( s0 )),bind(H,$thf( s1 ))]]) ).
thf(14168,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[14137,17]) ).
thf(14169,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[14168]) ).
thf(14170,plain,
s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[14169:[bind(A,$thf( s0 )),bind(B,$thf( s1 )),bind(C,$thf( s0 )),bind(D,$thf( s1 )),bind(E,$thf( s0 )),bind(F,$thf( s0 )),bind(G,$thf( s0 )),bind(H,$thf( s1 )),bind(I,$thf( s1 ))]]) ).
thf(14221,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[14170,23]) ).
thf(14222,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[14221]) ).
thf(14223,plain,
s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[14222:[bind(A,$thf( s0 )),bind(B,$thf( s1 )),bind(C,$thf( s0 )),bind(D,$thf( s1 )),bind(E,$thf( s0 )),bind(F,$thf( s0 ))]]) ).
thf(14256,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[14223,17]) ).
thf(14257,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[14256]) ).
thf(14258,plain,
s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[14257:[bind(A,$thf( s0 )),bind(B,$thf( s1 )),bind(C,$thf( s0 )),bind(D,$thf( s1 )),bind(E,$thf( s0 )),bind(F,$thf( s0 )),bind(G,$thf( s1 )),bind(H,$thf( s0 )),bind(I,$thf( s0 ))]]) ).
thf(14309,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[14258,19]) ).
thf(14310,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[14309]) ).
thf(14311,plain,
s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[14310:[bind(A,$thf( s0 )),bind(B,$thf( s1 )),bind(C,$thf( s0 )),bind(D,$thf( s1 )),bind(E,$thf( s0 )),bind(F,$thf( s0 )),bind(G,$thf( s1 )),bind(H,$thf( s0 ))]]) ).
thf(14342,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[14311,17]) ).
thf(14343,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[14342]) ).
thf(14344,plain,
s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[14343:[bind(A,$thf( s0 )),bind(B,$thf( s1 )),bind(C,$thf( s0 )),bind(D,$thf( s1 )),bind(E,$thf( s0 )),bind(F,$thf( s0 )),bind(G,$thf( s1 )),bind(H,$thf( s0 )),bind(I,$thf( s1 ))]]) ).
thf(14383,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s0 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s1 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[14344,21]) ).
thf(14384,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s0 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s1 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[14383]) ).
thf(14385,plain,
s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[14384:[bind(A,$thf( s0 )),bind(B,$thf( s1 )),bind(C,$thf( s0 )),bind(D,$thf( s1 )),bind(E,$thf( s0 )),bind(F,$thf( s0 )),bind(G,$thf( s1 ))]]) ).
thf(14428,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[14385,17]) ).
thf(14429,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[14428]) ).
thf(14430,plain,
s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[14429:[bind(A,$thf( s0 )),bind(B,$thf( s1 )),bind(C,$thf( s0 )),bind(D,$thf( s1 )),bind(E,$thf( s0 )),bind(F,$thf( s0 )),bind(G,$thf( s1 )),bind(H,$thf( s1 )),bind(I,$thf( s0 ))]]) ).
thf(14481,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[14430,19]) ).
thf(14482,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[14481]) ).
thf(14483,plain,
s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[14482:[bind(A,$thf( s0 )),bind(B,$thf( s1 )),bind(C,$thf( s0 )),bind(D,$thf( s1 )),bind(E,$thf( s0 )),bind(F,$thf( s0 )),bind(G,$thf( s1 )),bind(H,$thf( s1 ))]]) ).
thf(14516,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[14483,17]) ).
thf(14517,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[14516]) ).
thf(14518,plain,
s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[14517:[bind(A,$thf( s0 )),bind(B,$thf( s1 )),bind(C,$thf( s0 )),bind(D,$thf( s1 )),bind(E,$thf( s0 )),bind(F,$thf( s0 )),bind(G,$thf( s1 )),bind(H,$thf( s1 )),bind(I,$thf( s1 ))]]) ).
thf(14549,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[14518,25]) ).
thf(14550,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[14549]) ).
thf(14551,plain,
s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[14550:[bind(A,$thf( s0 )),bind(B,$thf( s1 )),bind(C,$thf( s0 )),bind(D,$thf( s1 )),bind(E,$thf( s0 ))]]) ).
thf(14602,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[14551,17]) ).
thf(14603,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[14602]) ).
thf(14604,plain,
s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[14603:[bind(A,$thf( s0 )),bind(B,$thf( s1 )),bind(C,$thf( s0 )),bind(D,$thf( s1 )),bind(E,$thf( s0 )),bind(F,$thf( s1 )),bind(G,$thf( s0 )),bind(H,$thf( s0 )),bind(I,$thf( s0 ))]]) ).
thf(14656,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[14604,19]) ).
thf(14657,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[14656]) ).
thf(14658,plain,
s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[14657:[bind(A,$thf( s0 )),bind(B,$thf( s1 )),bind(C,$thf( s0 )),bind(D,$thf( s1 )),bind(E,$thf( s0 )),bind(F,$thf( s1 )),bind(G,$thf( s0 )),bind(H,$thf( s0 ))]]) ).
thf(14689,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[14658,17]) ).
thf(14690,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[14689]) ).
thf(14691,plain,
s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[14690:[bind(A,$thf( s0 )),bind(B,$thf( s1 )),bind(C,$thf( s0 )),bind(D,$thf( s1 )),bind(E,$thf( s0 )),bind(F,$thf( s1 )),bind(G,$thf( s0 )),bind(H,$thf( s0 )),bind(I,$thf( s1 ))]]) ).
thf(14730,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s0 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s1 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[14691,21]) ).
thf(14731,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s0 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s1 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[14730]) ).
thf(14732,plain,
s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[14731:[bind(A,$thf( s0 )),bind(B,$thf( s1 )),bind(C,$thf( s0 )),bind(D,$thf( s1 )),bind(E,$thf( s0 )),bind(F,$thf( s1 )),bind(G,$thf( s0 ))]]) ).
thf(14775,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[14732,17]) ).
thf(14776,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[14775]) ).
thf(14777,plain,
s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[14776:[bind(A,$thf( s0 )),bind(B,$thf( s1 )),bind(C,$thf( s0 )),bind(D,$thf( s1 )),bind(E,$thf( s0 )),bind(F,$thf( s1 )),bind(G,$thf( s0 )),bind(H,$thf( s1 )),bind(I,$thf( s0 ))]]) ).
thf(14829,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[14777,19]) ).
thf(14830,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[14829]) ).
thf(14831,plain,
s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[14830:[bind(A,$thf( s0 )),bind(B,$thf( s1 )),bind(C,$thf( s0 )),bind(D,$thf( s1 )),bind(E,$thf( s0 )),bind(F,$thf( s1 )),bind(G,$thf( s0 )),bind(H,$thf( s1 ))]]) ).
thf(14862,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[14831,17]) ).
thf(14863,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[14862]) ).
thf(14864,plain,
s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[14863:[bind(A,$thf( s0 )),bind(B,$thf( s1 )),bind(C,$thf( s0 )),bind(D,$thf( s1 )),bind(E,$thf( s0 )),bind(F,$thf( s1 )),bind(G,$thf( s0 )),bind(H,$thf( s1 )),bind(I,$thf( s1 ))]]) ).
thf(14913,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[14864,23]) ).
thf(14914,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[14913]) ).
thf(14915,plain,
s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[14914:[bind(A,$thf( s0 )),bind(B,$thf( s1 )),bind(C,$thf( s0 )),bind(D,$thf( s1 )),bind(E,$thf( s0 )),bind(F,$thf( s1 ))]]) ).
thf(14949,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[14915,17]) ).
thf(14950,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[14949]) ).
thf(14951,plain,
s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[14950:[bind(A,$thf( s0 )),bind(B,$thf( s1 )),bind(C,$thf( s0 )),bind(D,$thf( s1 )),bind(E,$thf( s0 )),bind(F,$thf( s1 )),bind(G,$thf( s1 )),bind(H,$thf( s0 )),bind(I,$thf( s0 ))]]) ).
thf(15002,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[14951,19]) ).
thf(15003,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[15002]) ).
thf(15004,plain,
s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[15003:[bind(A,$thf( s0 )),bind(B,$thf( s1 )),bind(C,$thf( s0 )),bind(D,$thf( s1 )),bind(E,$thf( s0 )),bind(F,$thf( s1 )),bind(G,$thf( s1 )),bind(H,$thf( s0 ))]]) ).
thf(15035,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[15004,17]) ).
thf(15036,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[15035]) ).
thf(15037,plain,
s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[15036:[bind(A,$thf( s0 )),bind(B,$thf( s1 )),bind(C,$thf( s0 )),bind(D,$thf( s1 )),bind(E,$thf( s0 )),bind(F,$thf( s1 )),bind(G,$thf( s1 )),bind(H,$thf( s0 )),bind(I,$thf( s1 ))]]) ).
thf(15076,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s0 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s1 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[15037,21]) ).
thf(15077,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s0 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s1 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[15076]) ).
thf(15078,plain,
s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[15077:[bind(A,$thf( s0 )),bind(B,$thf( s1 )),bind(C,$thf( s0 )),bind(D,$thf( s1 )),bind(E,$thf( s0 )),bind(F,$thf( s1 )),bind(G,$thf( s1 ))]]) ).
thf(15123,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[15078,17]) ).
thf(15124,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[15123]) ).
thf(15125,plain,
s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[15124:[bind(A,$thf( s0 )),bind(B,$thf( s1 )),bind(C,$thf( s0 )),bind(D,$thf( s1 )),bind(E,$thf( s0 )),bind(F,$thf( s1 )),bind(G,$thf( s1 )),bind(H,$thf( s1 )),bind(I,$thf( s0 ))]]) ).
thf(15176,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[15125,19]) ).
thf(15177,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[15176]) ).
thf(15178,plain,
s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[15177:[bind(A,$thf( s0 )),bind(B,$thf( s1 )),bind(C,$thf( s0 )),bind(D,$thf( s1 )),bind(E,$thf( s0 )),bind(F,$thf( s1 )),bind(G,$thf( s1 )),bind(H,$thf( s1 ))]]) ).
thf(15209,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[15178,17]) ).
thf(15210,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[15209]) ).
thf(15211,plain,
s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[15210:[bind(A,$thf( s0 )),bind(B,$thf( s1 )),bind(C,$thf( s0 )),bind(D,$thf( s1 )),bind(E,$thf( s0 )),bind(F,$thf( s1 )),bind(G,$thf( s1 )),bind(H,$thf( s1 )),bind(I,$thf( s1 ))]]) ).
thf(15255,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[15211,27]) ).
thf(15256,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[15255]) ).
thf(15257,plain,
s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[15256:[bind(A,$thf( s0 )),bind(B,$thf( s1 )),bind(C,$thf( s0 )),bind(D,$thf( s1 ))]]) ).
thf(15296,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[15257,17]) ).
thf(15297,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[15296]) ).
thf(15298,plain,
s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[15297:[bind(A,$thf( s0 )),bind(B,$thf( s1 )),bind(C,$thf( s0 )),bind(D,$thf( s1 )),bind(E,$thf( s1 )),bind(F,$thf( s0 )),bind(G,$thf( s0 )),bind(H,$thf( s0 )),bind(I,$thf( s0 ))]]) ).
thf(15349,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[15298,19]) ).
thf(15350,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[15349]) ).
thf(15351,plain,
s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[15350:[bind(A,$thf( s0 )),bind(B,$thf( s1 )),bind(C,$thf( s0 )),bind(D,$thf( s1 )),bind(E,$thf( s1 )),bind(F,$thf( s0 )),bind(G,$thf( s0 )),bind(H,$thf( s0 ))]]) ).
thf(15382,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[15351,17]) ).
thf(15383,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[15382]) ).
thf(15384,plain,
s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[15383:[bind(A,$thf( s0 )),bind(B,$thf( s1 )),bind(C,$thf( s0 )),bind(D,$thf( s1 )),bind(E,$thf( s1 )),bind(F,$thf( s0 )),bind(G,$thf( s0 )),bind(H,$thf( s0 )),bind(I,$thf( s1 ))]]) ).
thf(15425,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s0 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s1 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[15384,21]) ).
thf(15426,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s0 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s1 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[15425]) ).
thf(15427,plain,
s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[15426:[bind(A,$thf( s0 )),bind(B,$thf( s1 )),bind(C,$thf( s0 )),bind(D,$thf( s1 )),bind(E,$thf( s1 )),bind(F,$thf( s0 )),bind(G,$thf( s0 ))]]) ).
thf(15470,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[15427,17]) ).
thf(15471,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[15470]) ).
thf(15472,plain,
s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[15471:[bind(A,$thf( s0 )),bind(B,$thf( s1 )),bind(C,$thf( s0 )),bind(D,$thf( s1 )),bind(E,$thf( s1 )),bind(F,$thf( s0 )),bind(G,$thf( s0 )),bind(H,$thf( s1 )),bind(I,$thf( s0 ))]]) ).
thf(15523,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[15472,19]) ).
thf(15524,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[15523]) ).
thf(15525,plain,
s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[15524:[bind(A,$thf( s0 )),bind(B,$thf( s1 )),bind(C,$thf( s0 )),bind(D,$thf( s1 )),bind(E,$thf( s1 )),bind(F,$thf( s0 )),bind(G,$thf( s0 )),bind(H,$thf( s1 ))]]) ).
thf(15557,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[15525,17]) ).
thf(15558,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[15557]) ).
thf(15559,plain,
s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[15558:[bind(A,$thf( s0 )),bind(B,$thf( s1 )),bind(C,$thf( s0 )),bind(D,$thf( s1 )),bind(E,$thf( s1 )),bind(F,$thf( s0 )),bind(G,$thf( s0 )),bind(H,$thf( s1 )),bind(I,$thf( s1 ))]]) ).
thf(15608,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[15559,23]) ).
thf(15609,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[15608]) ).
thf(15610,plain,
s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[15609:[bind(A,$thf( s0 )),bind(B,$thf( s1 )),bind(C,$thf( s0 )),bind(D,$thf( s1 )),bind(E,$thf( s1 )),bind(F,$thf( s0 ))]]) ).
thf(15643,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[15610,17]) ).
thf(15644,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[15643]) ).
thf(15645,plain,
s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[15644:[bind(A,$thf( s0 )),bind(B,$thf( s1 )),bind(C,$thf( s0 )),bind(D,$thf( s1 )),bind(E,$thf( s1 )),bind(F,$thf( s0 )),bind(G,$thf( s1 )),bind(H,$thf( s0 )),bind(I,$thf( s0 ))]]) ).
thf(15696,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[15645,19]) ).
thf(15697,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[15696]) ).
thf(15698,plain,
s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[15697:[bind(A,$thf( s0 )),bind(B,$thf( s1 )),bind(C,$thf( s0 )),bind(D,$thf( s1 )),bind(E,$thf( s1 )),bind(F,$thf( s0 )),bind(G,$thf( s1 )),bind(H,$thf( s0 ))]]) ).
thf(15731,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[15698,17]) ).
thf(15732,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[15731]) ).
thf(15733,plain,
s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[15732:[bind(A,$thf( s0 )),bind(B,$thf( s1 )),bind(C,$thf( s0 )),bind(D,$thf( s1 )),bind(E,$thf( s1 )),bind(F,$thf( s0 )),bind(G,$thf( s1 )),bind(H,$thf( s0 )),bind(I,$thf( s1 ))]]) ).
thf(15772,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s0 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s1 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[15733,21]) ).
thf(15773,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s0 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s1 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[15772]) ).
thf(15774,plain,
s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[15773:[bind(A,$thf( s0 )),bind(B,$thf( s1 )),bind(C,$thf( s0 )),bind(D,$thf( s1 )),bind(E,$thf( s1 )),bind(F,$thf( s0 )),bind(G,$thf( s1 ))]]) ).
thf(15817,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[15774,17]) ).
thf(15818,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[15817]) ).
thf(15819,plain,
s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[15818:[bind(A,$thf( s0 )),bind(B,$thf( s1 )),bind(C,$thf( s0 )),bind(D,$thf( s1 )),bind(E,$thf( s1 )),bind(F,$thf( s0 )),bind(G,$thf( s1 )),bind(H,$thf( s1 )),bind(I,$thf( s0 ))]]) ).
thf(15871,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[15819,19]) ).
thf(15872,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[15871]) ).
thf(15873,plain,
s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[15872:[bind(A,$thf( s0 )),bind(B,$thf( s1 )),bind(C,$thf( s0 )),bind(D,$thf( s1 )),bind(E,$thf( s1 )),bind(F,$thf( s0 )),bind(G,$thf( s1 )),bind(H,$thf( s1 ))]]) ).
thf(15904,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[15873,17]) ).
thf(15905,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[15904]) ).
thf(15906,plain,
s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[15905:[bind(A,$thf( s0 )),bind(B,$thf( s1 )),bind(C,$thf( s0 )),bind(D,$thf( s1 )),bind(E,$thf( s1 )),bind(F,$thf( s0 )),bind(G,$thf( s1 )),bind(H,$thf( s1 )),bind(I,$thf( s1 ))]]) ).
thf(15937,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[15906,25]) ).
thf(15938,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[15937]) ).
thf(15939,plain,
s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[15938:[bind(A,$thf( s0 )),bind(B,$thf( s1 )),bind(C,$thf( s0 )),bind(D,$thf( s1 )),bind(E,$thf( s1 ))]]) ).
thf(15990,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[15939,17]) ).
thf(15991,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[15990]) ).
thf(15992,plain,
s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[15991:[bind(A,$thf( s0 )),bind(B,$thf( s1 )),bind(C,$thf( s0 )),bind(D,$thf( s1 )),bind(E,$thf( s1 )),bind(F,$thf( s1 )),bind(G,$thf( s0 )),bind(H,$thf( s0 )),bind(I,$thf( s0 ))]]) ).
thf(16045,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[15992,19]) ).
thf(16046,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[16045]) ).
thf(16047,plain,
s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[16046:[bind(A,$thf( s0 )),bind(B,$thf( s1 )),bind(C,$thf( s0 )),bind(D,$thf( s1 )),bind(E,$thf( s1 )),bind(F,$thf( s1 )),bind(G,$thf( s0 )),bind(H,$thf( s0 ))]]) ).
thf(16078,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[16047,17]) ).
thf(16079,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[16078]) ).
thf(16080,plain,
s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[16079:[bind(A,$thf( s0 )),bind(B,$thf( s1 )),bind(C,$thf( s0 )),bind(D,$thf( s1 )),bind(E,$thf( s1 )),bind(F,$thf( s1 )),bind(G,$thf( s0 )),bind(H,$thf( s0 )),bind(I,$thf( s1 ))]]) ).
thf(16119,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s0 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s1 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[16080,21]) ).
thf(16120,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s0 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s1 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[16119]) ).
thf(16121,plain,
s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[16120:[bind(A,$thf( s0 )),bind(B,$thf( s1 )),bind(C,$thf( s0 )),bind(D,$thf( s1 )),bind(E,$thf( s1 )),bind(F,$thf( s1 )),bind(G,$thf( s0 ))]]) ).
thf(16165,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[16121,17]) ).
thf(16166,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[16165]) ).
thf(16167,plain,
s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[16166:[bind(A,$thf( s0 )),bind(B,$thf( s1 )),bind(C,$thf( s0 )),bind(D,$thf( s1 )),bind(E,$thf( s1 )),bind(F,$thf( s1 )),bind(G,$thf( s0 )),bind(H,$thf( s1 )),bind(I,$thf( s0 ))]]) ).
thf(16218,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[16167,19]) ).
thf(16219,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[16218]) ).
thf(16220,plain,
s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[16219:[bind(A,$thf( s0 )),bind(B,$thf( s1 )),bind(C,$thf( s0 )),bind(D,$thf( s1 )),bind(E,$thf( s1 )),bind(F,$thf( s1 )),bind(G,$thf( s0 )),bind(H,$thf( s1 ))]]) ).
thf(16251,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[16220,17]) ).
thf(16252,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[16251]) ).
thf(16253,plain,
s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[16252:[bind(A,$thf( s0 )),bind(B,$thf( s1 )),bind(C,$thf( s0 )),bind(D,$thf( s1 )),bind(E,$thf( s1 )),bind(F,$thf( s1 )),bind(G,$thf( s0 )),bind(H,$thf( s1 )),bind(I,$thf( s1 ))]]) ).
thf(16302,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[16253,23]) ).
thf(16303,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[16302]) ).
thf(16304,plain,
s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[16303:[bind(A,$thf( s0 )),bind(B,$thf( s1 )),bind(C,$thf( s0 )),bind(D,$thf( s1 )),bind(E,$thf( s1 )),bind(F,$thf( s1 ))]]) ).
thf(16338,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[16304,17]) ).
thf(16339,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[16338]) ).
thf(16340,plain,
s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[16339:[bind(A,$thf( s0 )),bind(B,$thf( s1 )),bind(C,$thf( s0 )),bind(D,$thf( s1 )),bind(E,$thf( s1 )),bind(F,$thf( s1 )),bind(G,$thf( s1 )),bind(H,$thf( s0 )),bind(I,$thf( s0 ))]]) ).
thf(16391,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[16340,19]) ).
thf(16392,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[16391]) ).
thf(16393,plain,
s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[16392:[bind(A,$thf( s0 )),bind(B,$thf( s1 )),bind(C,$thf( s0 )),bind(D,$thf( s1 )),bind(E,$thf( s1 )),bind(F,$thf( s1 )),bind(G,$thf( s1 )),bind(H,$thf( s0 ))]]) ).
thf(16424,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[16393,17]) ).
thf(16425,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[16424]) ).
thf(16426,plain,
s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[16425:[bind(A,$thf( s0 )),bind(B,$thf( s1 )),bind(C,$thf( s0 )),bind(D,$thf( s1 )),bind(E,$thf( s1 )),bind(F,$thf( s1 )),bind(G,$thf( s1 )),bind(H,$thf( s0 )),bind(I,$thf( s1 ))]]) ).
thf(16466,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s0 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s1 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[16426,21]) ).
thf(16467,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s0 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s1 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[16466]) ).
thf(16468,plain,
s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[16467:[bind(A,$thf( s0 )),bind(B,$thf( s1 )),bind(C,$thf( s0 )),bind(D,$thf( s1 )),bind(E,$thf( s1 )),bind(F,$thf( s1 )),bind(G,$thf( s1 ))]]) ).
thf(16511,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[16468,17]) ).
thf(16512,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[16511]) ).
thf(16513,plain,
s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[16512:[bind(A,$thf( s0 )),bind(B,$thf( s1 )),bind(C,$thf( s0 )),bind(D,$thf( s1 )),bind(E,$thf( s1 )),bind(F,$thf( s1 )),bind(G,$thf( s1 )),bind(H,$thf( s1 )),bind(I,$thf( s0 ))]]) ).
thf(16564,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[16513,19]) ).
thf(16565,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[16564]) ).
thf(16566,plain,
s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[16565:[bind(A,$thf( s0 )),bind(B,$thf( s1 )),bind(C,$thf( s0 )),bind(D,$thf( s1 )),bind(E,$thf( s1 )),bind(F,$thf( s1 )),bind(G,$thf( s1 )),bind(H,$thf( s1 ))]]) ).
thf(16597,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[16566,17]) ).
thf(16598,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[16597]) ).
thf(16599,plain,
s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[16598:[bind(A,$thf( s0 )),bind(B,$thf( s1 )),bind(C,$thf( s0 )),bind(D,$thf( s1 )),bind(E,$thf( s1 )),bind(F,$thf( s1 )),bind(G,$thf( s1 )),bind(H,$thf( s1 )),bind(I,$thf( s1 ))]]) ).
thf(16648,plain,
! [B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[16599,31]) ).
thf(16649,plain,
! [B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[16648]) ).
thf(16650,plain,
s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[16649:[bind(A,$thf( s0 )),bind(B,$thf( s1 ))]]) ).
thf(16685,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[16650,17]) ).
thf(16686,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[16685]) ).
thf(16687,plain,
s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[16686:[bind(A,$thf( s0 )),bind(B,$thf( s1 )),bind(C,$thf( s1 )),bind(D,$thf( s0 )),bind(E,$thf( s0 )),bind(F,$thf( s0 )),bind(G,$thf( s0 )),bind(H,$thf( s0 )),bind(I,$thf( s0 ))]]) ).
thf(16738,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[16687,19]) ).
thf(16739,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[16738]) ).
thf(16740,plain,
s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[16739:[bind(A,$thf( s0 )),bind(B,$thf( s1 )),bind(C,$thf( s1 )),bind(D,$thf( s0 )),bind(E,$thf( s0 )),bind(F,$thf( s0 )),bind(G,$thf( s0 )),bind(H,$thf( s0 ))]]) ).
thf(16772,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[16740,17]) ).
thf(16773,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[16772]) ).
thf(16774,plain,
s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[16773:[bind(A,$thf( s0 )),bind(B,$thf( s1 )),bind(C,$thf( s1 )),bind(D,$thf( s0 )),bind(E,$thf( s0 )),bind(F,$thf( s0 )),bind(G,$thf( s0 )),bind(H,$thf( s0 )),bind(I,$thf( s1 ))]]) ).
thf(16813,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s0 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s1 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[16774,21]) ).
thf(16814,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s0 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s1 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[16813]) ).
thf(16815,plain,
s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[16814:[bind(A,$thf( s0 )),bind(B,$thf( s1 )),bind(C,$thf( s1 )),bind(D,$thf( s0 )),bind(E,$thf( s0 )),bind(F,$thf( s0 )),bind(G,$thf( s0 ))]]) ).
thf(16858,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[16815,17]) ).
thf(16859,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[16858]) ).
thf(16860,plain,
s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[16859:[bind(A,$thf( s0 )),bind(B,$thf( s1 )),bind(C,$thf( s1 )),bind(D,$thf( s0 )),bind(E,$thf( s0 )),bind(F,$thf( s0 )),bind(G,$thf( s0 )),bind(H,$thf( s1 )),bind(I,$thf( s0 ))]]) ).
thf(16911,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[16860,19]) ).
thf(16912,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[16911]) ).
thf(16913,plain,
s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[16912:[bind(A,$thf( s0 )),bind(B,$thf( s1 )),bind(C,$thf( s1 )),bind(D,$thf( s0 )),bind(E,$thf( s0 )),bind(F,$thf( s0 )),bind(G,$thf( s0 )),bind(H,$thf( s1 ))]]) ).
thf(16946,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[16913,17]) ).
thf(16947,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[16946]) ).
thf(16948,plain,
s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[16947:[bind(A,$thf( s0 )),bind(B,$thf( s1 )),bind(C,$thf( s1 )),bind(D,$thf( s0 )),bind(E,$thf( s0 )),bind(F,$thf( s0 )),bind(G,$thf( s0 )),bind(H,$thf( s1 )),bind(I,$thf( s1 ))]]) ).
thf(16997,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[16948,23]) ).
thf(16998,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[16997]) ).
thf(16999,plain,
s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[16998:[bind(A,$thf( s0 )),bind(B,$thf( s1 )),bind(C,$thf( s1 )),bind(D,$thf( s0 )),bind(E,$thf( s0 )),bind(F,$thf( s0 ))]]) ).
thf(17032,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[16999,17]) ).
thf(17033,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[17032]) ).
thf(17034,plain,
s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[17033:[bind(A,$thf( s0 )),bind(B,$thf( s1 )),bind(C,$thf( s1 )),bind(D,$thf( s0 )),bind(E,$thf( s0 )),bind(F,$thf( s0 )),bind(G,$thf( s1 )),bind(H,$thf( s0 )),bind(I,$thf( s0 ))]]) ).
thf(17086,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[17034,19]) ).
thf(17087,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[17086]) ).
thf(17088,plain,
s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[17087:[bind(A,$thf( s0 )),bind(B,$thf( s1 )),bind(C,$thf( s1 )),bind(D,$thf( s0 )),bind(E,$thf( s0 )),bind(F,$thf( s0 )),bind(G,$thf( s1 )),bind(H,$thf( s0 ))]]) ).
thf(17119,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[17088,17]) ).
thf(17120,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[17119]) ).
thf(17121,plain,
s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[17120:[bind(A,$thf( s0 )),bind(B,$thf( s1 )),bind(C,$thf( s1 )),bind(D,$thf( s0 )),bind(E,$thf( s0 )),bind(F,$thf( s0 )),bind(G,$thf( s1 )),bind(H,$thf( s0 )),bind(I,$thf( s1 ))]]) ).
thf(17160,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s0 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s1 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[17121,21]) ).
thf(17161,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s0 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s1 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[17160]) ).
thf(17162,plain,
s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[17161:[bind(A,$thf( s0 )),bind(B,$thf( s1 )),bind(C,$thf( s1 )),bind(D,$thf( s0 )),bind(E,$thf( s0 )),bind(F,$thf( s0 )),bind(G,$thf( s1 ))]]) ).
thf(17205,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[17162,17]) ).
thf(17206,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[17205]) ).
thf(17207,plain,
s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[17206:[bind(A,$thf( s0 )),bind(B,$thf( s1 )),bind(C,$thf( s1 )),bind(D,$thf( s0 )),bind(E,$thf( s0 )),bind(F,$thf( s0 )),bind(G,$thf( s1 )),bind(H,$thf( s1 )),bind(I,$thf( s0 ))]]) ).
thf(17260,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[17207,19]) ).
thf(17261,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[17260]) ).
thf(17262,plain,
s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[17261:[bind(A,$thf( s0 )),bind(B,$thf( s1 )),bind(C,$thf( s1 )),bind(D,$thf( s0 )),bind(E,$thf( s0 )),bind(F,$thf( s0 )),bind(G,$thf( s1 )),bind(H,$thf( s1 ))]]) ).
thf(17293,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[17262,17]) ).
thf(17294,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[17293]) ).
thf(17295,plain,
s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[17294:[bind(A,$thf( s0 )),bind(B,$thf( s1 )),bind(C,$thf( s1 )),bind(D,$thf( s0 )),bind(E,$thf( s0 )),bind(F,$thf( s0 )),bind(G,$thf( s1 )),bind(H,$thf( s1 )),bind(I,$thf( s1 ))]]) ).
thf(17326,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[17295,25]) ).
thf(17327,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[17326]) ).
thf(17328,plain,
s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[17327:[bind(A,$thf( s0 )),bind(B,$thf( s1 )),bind(C,$thf( s1 )),bind(D,$thf( s0 )),bind(E,$thf( s0 ))]]) ).
thf(17380,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[17328,17]) ).
thf(17381,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[17380]) ).
thf(17382,plain,
s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[17381:[bind(A,$thf( s0 )),bind(B,$thf( s1 )),bind(C,$thf( s1 )),bind(D,$thf( s0 )),bind(E,$thf( s0 )),bind(F,$thf( s1 )),bind(G,$thf( s0 )),bind(H,$thf( s0 )),bind(I,$thf( s0 ))]]) ).
thf(17433,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[17382,19]) ).
thf(17434,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[17433]) ).
thf(17435,plain,
s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[17434:[bind(A,$thf( s0 )),bind(B,$thf( s1 )),bind(C,$thf( s1 )),bind(D,$thf( s0 )),bind(E,$thf( s0 )),bind(F,$thf( s1 )),bind(G,$thf( s0 )),bind(H,$thf( s0 ))]]) ).
thf(17466,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[17435,17]) ).
thf(17467,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[17466]) ).
thf(17468,plain,
s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[17467:[bind(A,$thf( s0 )),bind(B,$thf( s1 )),bind(C,$thf( s1 )),bind(D,$thf( s0 )),bind(E,$thf( s0 )),bind(F,$thf( s1 )),bind(G,$thf( s0 )),bind(H,$thf( s0 )),bind(I,$thf( s1 ))]]) ).
thf(17507,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s0 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s1 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[17468,21]) ).
thf(17508,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s0 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s1 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[17507]) ).
thf(17509,plain,
s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[17508:[bind(A,$thf( s0 )),bind(B,$thf( s1 )),bind(C,$thf( s1 )),bind(D,$thf( s0 )),bind(E,$thf( s0 )),bind(F,$thf( s1 )),bind(G,$thf( s0 ))]]) ).
thf(17553,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[17509,17]) ).
thf(17554,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[17553]) ).
thf(17555,plain,
s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[17554:[bind(A,$thf( s0 )),bind(B,$thf( s1 )),bind(C,$thf( s1 )),bind(D,$thf( s0 )),bind(E,$thf( s0 )),bind(F,$thf( s1 )),bind(G,$thf( s0 )),bind(H,$thf( s1 )),bind(I,$thf( s0 ))]]) ).
thf(17606,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[17555,19]) ).
thf(17607,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[17606]) ).
thf(17608,plain,
s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[17607:[bind(A,$thf( s0 )),bind(B,$thf( s1 )),bind(C,$thf( s1 )),bind(D,$thf( s0 )),bind(E,$thf( s0 )),bind(F,$thf( s1 )),bind(G,$thf( s0 )),bind(H,$thf( s1 ))]]) ).
thf(17639,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[17608,17]) ).
thf(17640,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[17639]) ).
thf(17641,plain,
s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[17640:[bind(A,$thf( s0 )),bind(B,$thf( s1 )),bind(C,$thf( s1 )),bind(D,$thf( s0 )),bind(E,$thf( s0 )),bind(F,$thf( s1 )),bind(G,$thf( s0 )),bind(H,$thf( s1 )),bind(I,$thf( s1 ))]]) ).
thf(17690,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[17641,23]) ).
thf(17691,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[17690]) ).
thf(17692,plain,
s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[17691:[bind(A,$thf( s0 )),bind(B,$thf( s1 )),bind(C,$thf( s1 )),bind(D,$thf( s0 )),bind(E,$thf( s0 )),bind(F,$thf( s1 ))]]) ).
thf(17725,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[17692,17]) ).
thf(17726,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[17725]) ).
thf(17727,plain,
s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[17726:[bind(A,$thf( s0 )),bind(B,$thf( s1 )),bind(C,$thf( s1 )),bind(D,$thf( s0 )),bind(E,$thf( s0 )),bind(F,$thf( s1 )),bind(G,$thf( s1 )),bind(H,$thf( s0 )),bind(I,$thf( s0 ))]]) ).
thf(17778,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[17727,19]) ).
thf(17779,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[17778]) ).
thf(17780,plain,
s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[17779:[bind(A,$thf( s0 )),bind(B,$thf( s1 )),bind(C,$thf( s1 )),bind(D,$thf( s0 )),bind(E,$thf( s0 )),bind(F,$thf( s1 )),bind(G,$thf( s1 )),bind(H,$thf( s0 ))]]) ).
thf(17811,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[17780,17]) ).
thf(17812,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[17811]) ).
thf(17813,plain,
s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[17812:[bind(A,$thf( s0 )),bind(B,$thf( s1 )),bind(C,$thf( s1 )),bind(D,$thf( s0 )),bind(E,$thf( s0 )),bind(F,$thf( s1 )),bind(G,$thf( s1 )),bind(H,$thf( s0 )),bind(I,$thf( s1 ))]]) ).
thf(17854,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s0 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s1 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[17813,21]) ).
thf(17855,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s0 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s1 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[17854]) ).
thf(17856,plain,
s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[17855:[bind(A,$thf( s0 )),bind(B,$thf( s1 )),bind(C,$thf( s1 )),bind(D,$thf( s0 )),bind(E,$thf( s0 )),bind(F,$thf( s1 )),bind(G,$thf( s1 ))]]) ).
thf(17899,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[17856,17]) ).
thf(17900,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[17899]) ).
thf(17901,plain,
s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[17900:[bind(A,$thf( s0 )),bind(B,$thf( s1 )),bind(C,$thf( s1 )),bind(D,$thf( s0 )),bind(E,$thf( s0 )),bind(F,$thf( s1 )),bind(G,$thf( s1 )),bind(H,$thf( s1 )),bind(I,$thf( s0 ))]]) ).
thf(17952,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[17901,19]) ).
thf(17953,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[17952]) ).
thf(17954,plain,
s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[17953:[bind(A,$thf( s0 )),bind(B,$thf( s1 )),bind(C,$thf( s1 )),bind(D,$thf( s0 )),bind(E,$thf( s0 )),bind(F,$thf( s1 )),bind(G,$thf( s1 )),bind(H,$thf( s1 ))]]) ).
thf(17986,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[17954,17]) ).
thf(17987,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[17986]) ).
thf(17988,plain,
s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[17987:[bind(A,$thf( s0 )),bind(B,$thf( s1 )),bind(C,$thf( s1 )),bind(D,$thf( s0 )),bind(E,$thf( s0 )),bind(F,$thf( s1 )),bind(G,$thf( s1 )),bind(H,$thf( s1 )),bind(I,$thf( s1 ))]]) ).
thf(18031,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[17988,27]) ).
thf(18032,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[18031]) ).
thf(18033,plain,
s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[18032:[bind(A,$thf( s0 )),bind(B,$thf( s1 )),bind(C,$thf( s1 )),bind(D,$thf( s0 ))]]) ).
thf(18072,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[18033,17]) ).
thf(18073,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[18072]) ).
thf(18074,plain,
s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[18073:[bind(A,$thf( s0 )),bind(B,$thf( s1 )),bind(C,$thf( s1 )),bind(D,$thf( s0 )),bind(E,$thf( s1 )),bind(F,$thf( s0 )),bind(G,$thf( s0 )),bind(H,$thf( s0 )),bind(I,$thf( s0 ))]]) ).
thf(18125,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[18074,19]) ).
thf(18126,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[18125]) ).
thf(18127,plain,
s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[18126:[bind(A,$thf( s0 )),bind(B,$thf( s1 )),bind(C,$thf( s1 )),bind(D,$thf( s0 )),bind(E,$thf( s1 )),bind(F,$thf( s0 )),bind(G,$thf( s0 )),bind(H,$thf( s0 ))]]) ).
thf(18160,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[18127,17]) ).
thf(18161,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[18160]) ).
thf(18162,plain,
s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[18161:[bind(A,$thf( s0 )),bind(B,$thf( s1 )),bind(C,$thf( s1 )),bind(D,$thf( s0 )),bind(E,$thf( s1 )),bind(F,$thf( s0 )),bind(G,$thf( s0 )),bind(H,$thf( s0 )),bind(I,$thf( s1 ))]]) ).
thf(18201,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s0 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s1 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[18162,21]) ).
thf(18202,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s0 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s1 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[18201]) ).
thf(18203,plain,
s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[18202:[bind(A,$thf( s0 )),bind(B,$thf( s1 )),bind(C,$thf( s1 )),bind(D,$thf( s0 )),bind(E,$thf( s1 )),bind(F,$thf( s0 )),bind(G,$thf( s0 ))]]) ).
thf(18246,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[18203,17]) ).
thf(18247,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[18246]) ).
thf(18248,plain,
s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[18247:[bind(A,$thf( s0 )),bind(B,$thf( s1 )),bind(C,$thf( s1 )),bind(D,$thf( s0 )),bind(E,$thf( s1 )),bind(F,$thf( s0 )),bind(G,$thf( s0 )),bind(H,$thf( s1 )),bind(I,$thf( s0 ))]]) ).
thf(18300,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[18248,19]) ).
thf(18301,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[18300]) ).
thf(18302,plain,
s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[18301:[bind(A,$thf( s0 )),bind(B,$thf( s1 )),bind(C,$thf( s1 )),bind(D,$thf( s0 )),bind(E,$thf( s1 )),bind(F,$thf( s0 )),bind(G,$thf( s0 )),bind(H,$thf( s1 ))]]) ).
thf(18333,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[18302,17]) ).
thf(18334,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[18333]) ).
thf(18335,plain,
s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[18334:[bind(A,$thf( s0 )),bind(B,$thf( s1 )),bind(C,$thf( s1 )),bind(D,$thf( s0 )),bind(E,$thf( s1 )),bind(F,$thf( s0 )),bind(G,$thf( s0 )),bind(H,$thf( s1 )),bind(I,$thf( s1 ))]]) ).
thf(18384,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[18335,23]) ).
thf(18385,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[18384]) ).
thf(18386,plain,
s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[18385:[bind(A,$thf( s0 )),bind(B,$thf( s1 )),bind(C,$thf( s1 )),bind(D,$thf( s0 )),bind(E,$thf( s1 )),bind(F,$thf( s0 ))]]) ).
thf(18419,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[18386,17]) ).
thf(18420,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[18419]) ).
thf(18421,plain,
s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[18420:[bind(A,$thf( s0 )),bind(B,$thf( s1 )),bind(C,$thf( s1 )),bind(D,$thf( s0 )),bind(E,$thf( s1 )),bind(F,$thf( s0 )),bind(G,$thf( s1 )),bind(H,$thf( s0 )),bind(I,$thf( s0 ))]]) ).
thf(18474,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[18421,19]) ).
thf(18475,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[18474]) ).
thf(18476,plain,
s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[18475:[bind(A,$thf( s0 )),bind(B,$thf( s1 )),bind(C,$thf( s1 )),bind(D,$thf( s0 )),bind(E,$thf( s1 )),bind(F,$thf( s0 )),bind(G,$thf( s1 )),bind(H,$thf( s0 ))]]) ).
thf(18507,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[18476,17]) ).
thf(18508,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[18507]) ).
thf(18509,plain,
s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[18508:[bind(A,$thf( s0 )),bind(B,$thf( s1 )),bind(C,$thf( s1 )),bind(D,$thf( s0 )),bind(E,$thf( s1 )),bind(F,$thf( s0 )),bind(G,$thf( s1 )),bind(H,$thf( s0 )),bind(I,$thf( s1 ))]]) ).
thf(18548,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s0 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s1 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[18509,21]) ).
thf(18549,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s0 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s1 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[18548]) ).
thf(18550,plain,
s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[18549:[bind(A,$thf( s0 )),bind(B,$thf( s1 )),bind(C,$thf( s1 )),bind(D,$thf( s0 )),bind(E,$thf( s1 )),bind(F,$thf( s0 )),bind(G,$thf( s1 ))]]) ).
thf(18594,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[18550,17]) ).
thf(18595,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[18594]) ).
thf(18596,plain,
s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[18595:[bind(A,$thf( s0 )),bind(B,$thf( s1 )),bind(C,$thf( s1 )),bind(D,$thf( s0 )),bind(E,$thf( s1 )),bind(F,$thf( s0 )),bind(G,$thf( s1 )),bind(H,$thf( s1 )),bind(I,$thf( s0 ))]]) ).
thf(18647,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[18596,19]) ).
thf(18648,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[18647]) ).
thf(18649,plain,
s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[18648:[bind(A,$thf( s0 )),bind(B,$thf( s1 )),bind(C,$thf( s1 )),bind(D,$thf( s0 )),bind(E,$thf( s1 )),bind(F,$thf( s0 )),bind(G,$thf( s1 )),bind(H,$thf( s1 ))]]) ).
thf(18680,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[18649,17]) ).
thf(18681,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[18680]) ).
thf(18682,plain,
s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[18681:[bind(A,$thf( s0 )),bind(B,$thf( s1 )),bind(C,$thf( s1 )),bind(D,$thf( s0 )),bind(E,$thf( s1 )),bind(F,$thf( s0 )),bind(G,$thf( s1 )),bind(H,$thf( s1 )),bind(I,$thf( s1 ))]]) ).
thf(18713,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[18682,25]) ).
thf(18714,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[18713]) ).
thf(18715,plain,
s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[18714:[bind(A,$thf( s0 )),bind(B,$thf( s1 )),bind(C,$thf( s1 )),bind(D,$thf( s0 )),bind(E,$thf( s1 ))]]) ).
thf(18768,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[18715,17]) ).
thf(18769,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[18768]) ).
thf(18770,plain,
s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[18769:[bind(A,$thf( s0 )),bind(B,$thf( s1 )),bind(C,$thf( s1 )),bind(D,$thf( s0 )),bind(E,$thf( s1 )),bind(F,$thf( s1 )),bind(G,$thf( s0 )),bind(H,$thf( s0 )),bind(I,$thf( s0 ))]]) ).
thf(18821,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[18770,19]) ).
thf(18822,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[18821]) ).
thf(18823,plain,
s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[18822:[bind(A,$thf( s0 )),bind(B,$thf( s1 )),bind(C,$thf( s1 )),bind(D,$thf( s0 )),bind(E,$thf( s1 )),bind(F,$thf( s1 )),bind(G,$thf( s0 )),bind(H,$thf( s0 ))]]) ).
thf(18854,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[18823,17]) ).
thf(18855,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[18854]) ).
thf(18856,plain,
s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[18855:[bind(A,$thf( s0 )),bind(B,$thf( s1 )),bind(C,$thf( s1 )),bind(D,$thf( s0 )),bind(E,$thf( s1 )),bind(F,$thf( s1 )),bind(G,$thf( s0 )),bind(H,$thf( s0 )),bind(I,$thf( s1 ))]]) ).
thf(18896,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s0 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s1 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[18856,21]) ).
thf(18897,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s0 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s1 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[18896]) ).
thf(18898,plain,
s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[18897:[bind(A,$thf( s0 )),bind(B,$thf( s1 )),bind(C,$thf( s1 )),bind(D,$thf( s0 )),bind(E,$thf( s1 )),bind(F,$thf( s1 )),bind(G,$thf( s0 ))]]) ).
thf(18941,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[18898,17]) ).
thf(18942,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[18941]) ).
thf(18943,plain,
s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[18942:[bind(A,$thf( s0 )),bind(B,$thf( s1 )),bind(C,$thf( s1 )),bind(D,$thf( s0 )),bind(E,$thf( s1 )),bind(F,$thf( s1 )),bind(G,$thf( s0 )),bind(H,$thf( s1 )),bind(I,$thf( s0 ))]]) ).
thf(18994,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[18943,19]) ).
thf(18995,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[18994]) ).
thf(18996,plain,
s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[18995:[bind(A,$thf( s0 )),bind(B,$thf( s1 )),bind(C,$thf( s1 )),bind(D,$thf( s0 )),bind(E,$thf( s1 )),bind(F,$thf( s1 )),bind(G,$thf( s0 )),bind(H,$thf( s1 ))]]) ).
thf(19027,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[18996,17]) ).
thf(19028,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[19027]) ).
thf(19029,plain,
s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[19028:[bind(A,$thf( s0 )),bind(B,$thf( s1 )),bind(C,$thf( s1 )),bind(D,$thf( s0 )),bind(E,$thf( s1 )),bind(F,$thf( s1 )),bind(G,$thf( s0 )),bind(H,$thf( s1 )),bind(I,$thf( s1 ))]]) ).
thf(19080,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[19029,23]) ).
thf(19081,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[19080]) ).
thf(19082,plain,
s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[19081:[bind(A,$thf( s0 )),bind(B,$thf( s1 )),bind(C,$thf( s1 )),bind(D,$thf( s0 )),bind(E,$thf( s1 )),bind(F,$thf( s1 ))]]) ).
thf(19115,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[19082,17]) ).
thf(19116,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[19115]) ).
thf(19117,plain,
s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[19116:[bind(A,$thf( s0 )),bind(B,$thf( s1 )),bind(C,$thf( s1 )),bind(D,$thf( s0 )),bind(E,$thf( s1 )),bind(F,$thf( s1 )),bind(G,$thf( s1 )),bind(H,$thf( s0 )),bind(I,$thf( s0 ))]]) ).
thf(19168,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[19117,19]) ).
thf(19169,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[19168]) ).
thf(19170,plain,
s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[19169:[bind(A,$thf( s0 )),bind(B,$thf( s1 )),bind(C,$thf( s1 )),bind(D,$thf( s0 )),bind(E,$thf( s1 )),bind(F,$thf( s1 )),bind(G,$thf( s1 )),bind(H,$thf( s0 ))]]) ).
thf(19201,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[19170,17]) ).
thf(19202,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[19201]) ).
thf(19203,plain,
s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[19202:[bind(A,$thf( s0 )),bind(B,$thf( s1 )),bind(C,$thf( s1 )),bind(D,$thf( s0 )),bind(E,$thf( s1 )),bind(F,$thf( s1 )),bind(G,$thf( s1 )),bind(H,$thf( s0 )),bind(I,$thf( s1 ))]]) ).
thf(19242,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s0 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s1 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[19203,21]) ).
thf(19243,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s0 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s1 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[19242]) ).
thf(19244,plain,
s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[19243:[bind(A,$thf( s0 )),bind(B,$thf( s1 )),bind(C,$thf( s1 )),bind(D,$thf( s0 )),bind(E,$thf( s1 )),bind(F,$thf( s1 )),bind(G,$thf( s1 ))]]) ).
thf(19287,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[19244,17]) ).
thf(19288,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[19287]) ).
thf(19289,plain,
s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[19288:[bind(A,$thf( s0 )),bind(B,$thf( s1 )),bind(C,$thf( s1 )),bind(D,$thf( s0 )),bind(E,$thf( s1 )),bind(F,$thf( s1 )),bind(G,$thf( s1 )),bind(H,$thf( s1 )),bind(I,$thf( s0 ))]]) ).
thf(19340,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[19289,19]) ).
thf(19341,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[19340]) ).
thf(19342,plain,
s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[19341:[bind(A,$thf( s0 )),bind(B,$thf( s1 )),bind(C,$thf( s1 )),bind(D,$thf( s0 )),bind(E,$thf( s1 )),bind(F,$thf( s1 )),bind(G,$thf( s1 )),bind(H,$thf( s1 ))]]) ).
thf(19375,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[19342,17]) ).
thf(19376,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[19375]) ).
thf(19377,plain,
s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[19376:[bind(A,$thf( s0 )),bind(B,$thf( s1 )),bind(C,$thf( s1 )),bind(D,$thf( s0 )),bind(E,$thf( s1 )),bind(F,$thf( s1 )),bind(G,$thf( s1 )),bind(H,$thf( s1 )),bind(I,$thf( s1 ))]]) ).
thf(19412,plain,
! [C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[19377,29]) ).
thf(19413,plain,
! [C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[19412]) ).
thf(19414,plain,
s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[19413:[bind(A,$thf( s0 )),bind(B,$thf( s1 )),bind(C,$thf( s1 ))]]) ).
thf(19461,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[19414,17]) ).
thf(19462,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[19461]) ).
thf(19463,plain,
s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[19462:[bind(A,$thf( s0 )),bind(B,$thf( s1 )),bind(C,$thf( s1 )),bind(D,$thf( s1 )),bind(E,$thf( s0 )),bind(F,$thf( s0 )),bind(G,$thf( s0 )),bind(H,$thf( s0 )),bind(I,$thf( s0 ))]]) ).
thf(19515,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[19463,19]) ).
thf(19516,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[19515]) ).
thf(19517,plain,
s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[19516:[bind(A,$thf( s0 )),bind(B,$thf( s1 )),bind(C,$thf( s1 )),bind(D,$thf( s1 )),bind(E,$thf( s0 )),bind(F,$thf( s0 )),bind(G,$thf( s0 )),bind(H,$thf( s0 ))]]) ).
thf(19548,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[19517,17]) ).
thf(19549,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[19548]) ).
thf(19550,plain,
s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[19549:[bind(A,$thf( s0 )),bind(B,$thf( s1 )),bind(C,$thf( s1 )),bind(D,$thf( s1 )),bind(E,$thf( s0 )),bind(F,$thf( s0 )),bind(G,$thf( s0 )),bind(H,$thf( s0 )),bind(I,$thf( s1 ))]]) ).
thf(19589,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s0 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s1 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[19550,21]) ).
thf(19590,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s0 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s1 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[19589]) ).
thf(19591,plain,
s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[19590:[bind(A,$thf( s0 )),bind(B,$thf( s1 )),bind(C,$thf( s1 )),bind(D,$thf( s1 )),bind(E,$thf( s0 )),bind(F,$thf( s0 )),bind(G,$thf( s0 ))]]) ).
thf(19634,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[19591,17]) ).
thf(19635,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[19634]) ).
thf(19636,plain,
s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[19635:[bind(A,$thf( s0 )),bind(B,$thf( s1 )),bind(C,$thf( s1 )),bind(D,$thf( s1 )),bind(E,$thf( s0 )),bind(F,$thf( s0 )),bind(G,$thf( s0 )),bind(H,$thf( s1 )),bind(I,$thf( s0 ))]]) ).
thf(19689,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[19636,19]) ).
thf(19690,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[19689]) ).
thf(19691,plain,
s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[19690:[bind(A,$thf( s0 )),bind(B,$thf( s1 )),bind(C,$thf( s1 )),bind(D,$thf( s1 )),bind(E,$thf( s0 )),bind(F,$thf( s0 )),bind(G,$thf( s0 )),bind(H,$thf( s1 ))]]) ).
thf(19722,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[19691,17]) ).
thf(19723,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[19722]) ).
thf(19724,plain,
s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[19723:[bind(A,$thf( s0 )),bind(B,$thf( s1 )),bind(C,$thf( s1 )),bind(D,$thf( s1 )),bind(E,$thf( s0 )),bind(F,$thf( s0 )),bind(G,$thf( s0 )),bind(H,$thf( s1 )),bind(I,$thf( s1 ))]]) ).
thf(19773,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[19724,23]) ).
thf(19774,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[19773]) ).
thf(19775,plain,
s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[19774:[bind(A,$thf( s0 )),bind(B,$thf( s1 )),bind(C,$thf( s1 )),bind(D,$thf( s1 )),bind(E,$thf( s0 )),bind(F,$thf( s0 ))]]) ).
thf(19809,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[19775,17]) ).
thf(19810,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[19809]) ).
thf(19811,plain,
s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[19810:[bind(A,$thf( s0 )),bind(B,$thf( s1 )),bind(C,$thf( s1 )),bind(D,$thf( s1 )),bind(E,$thf( s0 )),bind(F,$thf( s0 )),bind(G,$thf( s1 )),bind(H,$thf( s0 )),bind(I,$thf( s0 ))]]) ).
thf(19862,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[19811,19]) ).
thf(19863,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[19862]) ).
thf(19864,plain,
s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[19863:[bind(A,$thf( s0 )),bind(B,$thf( s1 )),bind(C,$thf( s1 )),bind(D,$thf( s1 )),bind(E,$thf( s0 )),bind(F,$thf( s0 )),bind(G,$thf( s1 )),bind(H,$thf( s0 ))]]) ).
thf(19895,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[19864,17]) ).
thf(19896,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[19895]) ).
thf(19897,plain,
s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[19896:[bind(A,$thf( s0 )),bind(B,$thf( s1 )),bind(C,$thf( s1 )),bind(D,$thf( s1 )),bind(E,$thf( s0 )),bind(F,$thf( s0 )),bind(G,$thf( s1 )),bind(H,$thf( s0 )),bind(I,$thf( s1 ))]]) ).
thf(19936,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s0 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s1 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[19897,21]) ).
thf(19937,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s0 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s1 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[19936]) ).
thf(19938,plain,
s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[19937:[bind(A,$thf( s0 )),bind(B,$thf( s1 )),bind(C,$thf( s1 )),bind(D,$thf( s1 )),bind(E,$thf( s0 )),bind(F,$thf( s0 )),bind(G,$thf( s1 ))]]) ).
thf(19983,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[19938,17]) ).
thf(19984,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[19983]) ).
thf(19985,plain,
s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[19984:[bind(A,$thf( s0 )),bind(B,$thf( s1 )),bind(C,$thf( s1 )),bind(D,$thf( s1 )),bind(E,$thf( s0 )),bind(F,$thf( s0 )),bind(G,$thf( s1 )),bind(H,$thf( s1 )),bind(I,$thf( s0 ))]]) ).
thf(20036,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[19985,19]) ).
thf(20037,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[20036]) ).
thf(20038,plain,
s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[20037:[bind(A,$thf( s0 )),bind(B,$thf( s1 )),bind(C,$thf( s1 )),bind(D,$thf( s1 )),bind(E,$thf( s0 )),bind(F,$thf( s0 )),bind(G,$thf( s1 )),bind(H,$thf( s1 ))]]) ).
thf(20069,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[20038,17]) ).
thf(20070,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[20069]) ).
thf(20071,plain,
s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[20070:[bind(A,$thf( s0 )),bind(B,$thf( s1 )),bind(C,$thf( s1 )),bind(D,$thf( s1 )),bind(E,$thf( s0 )),bind(F,$thf( s0 )),bind(G,$thf( s1 )),bind(H,$thf( s1 )),bind(I,$thf( s1 ))]]) ).
thf(20102,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[20071,25]) ).
thf(20103,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[20102]) ).
thf(20104,plain,
s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[20103:[bind(A,$thf( s0 )),bind(B,$thf( s1 )),bind(C,$thf( s1 )),bind(D,$thf( s1 )),bind(E,$thf( s0 ))]]) ).
thf(20155,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[20104,17]) ).
thf(20156,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[20155]) ).
thf(20157,plain,
s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[20156:[bind(A,$thf( s0 )),bind(B,$thf( s1 )),bind(C,$thf( s1 )),bind(D,$thf( s1 )),bind(E,$thf( s0 )),bind(F,$thf( s1 )),bind(G,$thf( s0 )),bind(H,$thf( s0 )),bind(I,$thf( s0 ))]]) ).
thf(20208,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[20157,19]) ).
thf(20209,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[20208]) ).
thf(20210,plain,
s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[20209:[bind(A,$thf( s0 )),bind(B,$thf( s1 )),bind(C,$thf( s1 )),bind(D,$thf( s1 )),bind(E,$thf( s0 )),bind(F,$thf( s1 )),bind(G,$thf( s0 )),bind(H,$thf( s0 ))]]) ).
thf(20241,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[20210,17]) ).
thf(20242,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[20241]) ).
thf(20243,plain,
s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[20242:[bind(A,$thf( s0 )),bind(B,$thf( s1 )),bind(C,$thf( s1 )),bind(D,$thf( s1 )),bind(E,$thf( s0 )),bind(F,$thf( s1 )),bind(G,$thf( s0 )),bind(H,$thf( s0 )),bind(I,$thf( s1 ))]]) ).
thf(20284,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s0 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s1 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[20243,21]) ).
thf(20285,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s0 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s1 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[20284]) ).
thf(20286,plain,
s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[20285:[bind(A,$thf( s0 )),bind(B,$thf( s1 )),bind(C,$thf( s1 )),bind(D,$thf( s1 )),bind(E,$thf( s0 )),bind(F,$thf( s1 )),bind(G,$thf( s0 ))]]) ).
thf(20329,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[20286,17]) ).
thf(20330,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[20329]) ).
thf(20331,plain,
s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[20330:[bind(A,$thf( s0 )),bind(B,$thf( s1 )),bind(C,$thf( s1 )),bind(D,$thf( s1 )),bind(E,$thf( s0 )),bind(F,$thf( s1 )),bind(G,$thf( s0 )),bind(H,$thf( s1 )),bind(I,$thf( s0 ))]]) ).
thf(20382,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[20331,19]) ).
thf(20383,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[20382]) ).
thf(20384,plain,
s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[20383:[bind(A,$thf( s0 )),bind(B,$thf( s1 )),bind(C,$thf( s1 )),bind(D,$thf( s1 )),bind(E,$thf( s0 )),bind(F,$thf( s1 )),bind(G,$thf( s0 )),bind(H,$thf( s1 ))]]) ).
thf(20416,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[20384,17]) ).
thf(20417,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[20416]) ).
thf(20418,plain,
s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[20417:[bind(A,$thf( s0 )),bind(B,$thf( s1 )),bind(C,$thf( s1 )),bind(D,$thf( s1 )),bind(E,$thf( s0 )),bind(F,$thf( s1 )),bind(G,$thf( s0 )),bind(H,$thf( s1 )),bind(I,$thf( s1 ))]]) ).
thf(20467,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[20418,23]) ).
thf(20468,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[20467]) ).
thf(20469,plain,
s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[20468:[bind(A,$thf( s0 )),bind(B,$thf( s1 )),bind(C,$thf( s1 )),bind(D,$thf( s1 )),bind(E,$thf( s0 )),bind(F,$thf( s1 ))]]) ).
thf(20502,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[20469,17]) ).
thf(20503,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[20502]) ).
thf(20504,plain,
s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[20503:[bind(A,$thf( s0 )),bind(B,$thf( s1 )),bind(C,$thf( s1 )),bind(D,$thf( s1 )),bind(E,$thf( s0 )),bind(F,$thf( s1 )),bind(G,$thf( s1 )),bind(H,$thf( s0 )),bind(I,$thf( s0 ))]]) ).
thf(20555,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[20504,19]) ).
thf(20556,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[20555]) ).
thf(20557,plain,
s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[20556:[bind(A,$thf( s0 )),bind(B,$thf( s1 )),bind(C,$thf( s1 )),bind(D,$thf( s1 )),bind(E,$thf( s0 )),bind(F,$thf( s1 )),bind(G,$thf( s1 )),bind(H,$thf( s0 ))]]) ).
thf(20590,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[20557,17]) ).
thf(20591,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[20590]) ).
thf(20592,plain,
s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[20591:[bind(A,$thf( s0 )),bind(B,$thf( s1 )),bind(C,$thf( s1 )),bind(D,$thf( s1 )),bind(E,$thf( s0 )),bind(F,$thf( s1 )),bind(G,$thf( s1 )),bind(H,$thf( s0 )),bind(I,$thf( s1 ))]]) ).
thf(20631,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s0 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s1 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[20592,21]) ).
thf(20632,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s0 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s1 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[20631]) ).
thf(20633,plain,
s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[20632:[bind(A,$thf( s0 )),bind(B,$thf( s1 )),bind(C,$thf( s1 )),bind(D,$thf( s1 )),bind(E,$thf( s0 )),bind(F,$thf( s1 )),bind(G,$thf( s1 ))]]) ).
thf(20676,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[20633,17]) ).
thf(20677,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[20676]) ).
thf(20678,plain,
s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[20677:[bind(A,$thf( s0 )),bind(B,$thf( s1 )),bind(C,$thf( s1 )),bind(D,$thf( s1 )),bind(E,$thf( s0 )),bind(F,$thf( s1 )),bind(G,$thf( s1 )),bind(H,$thf( s1 )),bind(I,$thf( s0 ))]]) ).
thf(20730,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[20678,19]) ).
thf(20731,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[20730]) ).
thf(20732,plain,
s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[20731:[bind(A,$thf( s0 )),bind(B,$thf( s1 )),bind(C,$thf( s1 )),bind(D,$thf( s1 )),bind(E,$thf( s0 )),bind(F,$thf( s1 )),bind(G,$thf( s1 )),bind(H,$thf( s1 ))]]) ).
thf(20763,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[20732,17]) ).
thf(20764,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[20763]) ).
thf(20765,plain,
s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[20764:[bind(A,$thf( s0 )),bind(B,$thf( s1 )),bind(C,$thf( s1 )),bind(D,$thf( s1 )),bind(E,$thf( s0 )),bind(F,$thf( s1 )),bind(G,$thf( s1 )),bind(H,$thf( s1 )),bind(I,$thf( s1 ))]]) ).
thf(20808,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[20765,27]) ).
thf(20809,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[20808]) ).
thf(20810,plain,
s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[20809:[bind(A,$thf( s0 )),bind(B,$thf( s1 )),bind(C,$thf( s1 )),bind(D,$thf( s1 ))]]) ).
thf(20849,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[20810,17]) ).
thf(20850,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[20849]) ).
thf(20851,plain,
s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[20850:[bind(A,$thf( s0 )),bind(B,$thf( s1 )),bind(C,$thf( s1 )),bind(D,$thf( s1 )),bind(E,$thf( s1 )),bind(F,$thf( s0 )),bind(G,$thf( s0 )),bind(H,$thf( s0 )),bind(I,$thf( s0 ))]]) ).
thf(20903,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[20851,19]) ).
thf(20904,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[20903]) ).
thf(20905,plain,
s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[20904:[bind(A,$thf( s0 )),bind(B,$thf( s1 )),bind(C,$thf( s1 )),bind(D,$thf( s1 )),bind(E,$thf( s1 )),bind(F,$thf( s0 )),bind(G,$thf( s0 )),bind(H,$thf( s0 ))]]) ).
thf(20936,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[20905,17]) ).
thf(20937,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[20936]) ).
thf(20938,plain,
s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[20937:[bind(A,$thf( s0 )),bind(B,$thf( s1 )),bind(C,$thf( s1 )),bind(D,$thf( s1 )),bind(E,$thf( s1 )),bind(F,$thf( s0 )),bind(G,$thf( s0 )),bind(H,$thf( s0 )),bind(I,$thf( s1 ))]]) ).
thf(20977,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s0 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s1 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[20938,21]) ).
thf(20978,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s0 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s1 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[20977]) ).
thf(20979,plain,
s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[20978:[bind(A,$thf( s0 )),bind(B,$thf( s1 )),bind(C,$thf( s1 )),bind(D,$thf( s1 )),bind(E,$thf( s1 )),bind(F,$thf( s0 )),bind(G,$thf( s0 ))]]) ).
thf(21023,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[20979,17]) ).
thf(21024,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[21023]) ).
thf(21025,plain,
s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[21024:[bind(A,$thf( s0 )),bind(B,$thf( s1 )),bind(C,$thf( s1 )),bind(D,$thf( s1 )),bind(E,$thf( s1 )),bind(F,$thf( s0 )),bind(G,$thf( s0 )),bind(H,$thf( s1 )),bind(I,$thf( s0 ))]]) ).
thf(21076,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[21025,19]) ).
thf(21077,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[21076]) ).
thf(21078,plain,
s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[21077:[bind(A,$thf( s0 )),bind(B,$thf( s1 )),bind(C,$thf( s1 )),bind(D,$thf( s1 )),bind(E,$thf( s1 )),bind(F,$thf( s0 )),bind(G,$thf( s0 )),bind(H,$thf( s1 ))]]) ).
thf(21109,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[21078,17]) ).
thf(21110,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[21109]) ).
thf(21111,plain,
s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[21110:[bind(A,$thf( s0 )),bind(B,$thf( s1 )),bind(C,$thf( s1 )),bind(D,$thf( s1 )),bind(E,$thf( s1 )),bind(F,$thf( s0 )),bind(G,$thf( s0 )),bind(H,$thf( s1 )),bind(I,$thf( s1 ))]]) ).
thf(21160,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[21111,23]) ).
thf(21161,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[21160]) ).
thf(21162,plain,
s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[21161:[bind(A,$thf( s0 )),bind(B,$thf( s1 )),bind(C,$thf( s1 )),bind(D,$thf( s1 )),bind(E,$thf( s1 )),bind(F,$thf( s0 ))]]) ).
thf(21197,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[21162,17]) ).
thf(21198,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[21197]) ).
thf(21199,plain,
s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[21198:[bind(A,$thf( s0 )),bind(B,$thf( s1 )),bind(C,$thf( s1 )),bind(D,$thf( s1 )),bind(E,$thf( s1 )),bind(F,$thf( s0 )),bind(G,$thf( s1 )),bind(H,$thf( s0 )),bind(I,$thf( s0 ))]]) ).
thf(21250,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[21199,19]) ).
thf(21251,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[21250]) ).
thf(21252,plain,
s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[21251:[bind(A,$thf( s0 )),bind(B,$thf( s1 )),bind(C,$thf( s1 )),bind(D,$thf( s1 )),bind(E,$thf( s1 )),bind(F,$thf( s0 )),bind(G,$thf( s1 )),bind(H,$thf( s0 ))]]) ).
thf(21283,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[21252,17]) ).
thf(21284,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[21283]) ).
thf(21285,plain,
s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[21284:[bind(A,$thf( s0 )),bind(B,$thf( s1 )),bind(C,$thf( s1 )),bind(D,$thf( s1 )),bind(E,$thf( s1 )),bind(F,$thf( s0 )),bind(G,$thf( s1 )),bind(H,$thf( s0 )),bind(I,$thf( s1 ))]]) ).
thf(21325,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s0 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s1 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[21285,21]) ).
thf(21326,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s0 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s1 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[21325]) ).
thf(21327,plain,
s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[21326:[bind(A,$thf( s0 )),bind(B,$thf( s1 )),bind(C,$thf( s1 )),bind(D,$thf( s1 )),bind(E,$thf( s1 )),bind(F,$thf( s0 )),bind(G,$thf( s1 ))]]) ).
thf(21370,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[21327,17]) ).
thf(21371,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[21370]) ).
thf(21372,plain,
s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[21371:[bind(A,$thf( s0 )),bind(B,$thf( s1 )),bind(C,$thf( s1 )),bind(D,$thf( s1 )),bind(E,$thf( s1 )),bind(F,$thf( s0 )),bind(G,$thf( s1 )),bind(H,$thf( s1 )),bind(I,$thf( s0 ))]]) ).
thf(21423,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[21372,19]) ).
thf(21424,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[21423]) ).
thf(21425,plain,
s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[21424:[bind(A,$thf( s0 )),bind(B,$thf( s1 )),bind(C,$thf( s1 )),bind(D,$thf( s1 )),bind(E,$thf( s1 )),bind(F,$thf( s0 )),bind(G,$thf( s1 )),bind(H,$thf( s1 ))]]) ).
thf(21456,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[21425,17]) ).
thf(21457,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[21456]) ).
thf(21458,plain,
s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[21457:[bind(A,$thf( s0 )),bind(B,$thf( s1 )),bind(C,$thf( s1 )),bind(D,$thf( s1 )),bind(E,$thf( s1 )),bind(F,$thf( s0 )),bind(G,$thf( s1 )),bind(H,$thf( s1 )),bind(I,$thf( s1 ))]]) ).
thf(21491,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[21458,25]) ).
thf(21492,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[21491]) ).
thf(21493,plain,
s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[21492:[bind(A,$thf( s0 )),bind(B,$thf( s1 )),bind(C,$thf( s1 )),bind(D,$thf( s1 )),bind(E,$thf( s1 ))]]) ).
thf(21544,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[21493,17]) ).
thf(21545,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[21544]) ).
thf(21546,plain,
s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[21545:[bind(A,$thf( s0 )),bind(B,$thf( s1 )),bind(C,$thf( s1 )),bind(D,$thf( s1 )),bind(E,$thf( s1 )),bind(F,$thf( s1 )),bind(G,$thf( s0 )),bind(H,$thf( s0 )),bind(I,$thf( s0 ))]]) ).
thf(21597,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[21546,19]) ).
thf(21598,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[21597]) ).
thf(21599,plain,
s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[21598:[bind(A,$thf( s0 )),bind(B,$thf( s1 )),bind(C,$thf( s1 )),bind(D,$thf( s1 )),bind(E,$thf( s1 )),bind(F,$thf( s1 )),bind(G,$thf( s0 )),bind(H,$thf( s0 ))]]) ).
thf(21630,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[21599,17]) ).
thf(21631,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[21630]) ).
thf(21632,plain,
s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[21631:[bind(A,$thf( s0 )),bind(B,$thf( s1 )),bind(C,$thf( s1 )),bind(D,$thf( s1 )),bind(E,$thf( s1 )),bind(F,$thf( s1 )),bind(G,$thf( s0 )),bind(H,$thf( s0 )),bind(I,$thf( s1 ))]]) ).
thf(21671,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s0 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s1 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[21632,21]) ).
thf(21672,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s0 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s1 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[21671]) ).
thf(21673,plain,
s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[21672:[bind(A,$thf( s0 )),bind(B,$thf( s1 )),bind(C,$thf( s1 )),bind(D,$thf( s1 )),bind(E,$thf( s1 )),bind(F,$thf( s1 )),bind(G,$thf( s0 ))]]) ).
thf(21716,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[21673,17]) ).
thf(21717,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[21716]) ).
thf(21718,plain,
s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[21717:[bind(A,$thf( s0 )),bind(B,$thf( s1 )),bind(C,$thf( s1 )),bind(D,$thf( s1 )),bind(E,$thf( s1 )),bind(F,$thf( s1 )),bind(G,$thf( s0 )),bind(H,$thf( s1 )),bind(I,$thf( s0 ))]]) ).
thf(21769,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[21718,19]) ).
thf(21770,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[21769]) ).
thf(21771,plain,
s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[21770:[bind(A,$thf( s0 )),bind(B,$thf( s1 )),bind(C,$thf( s1 )),bind(D,$thf( s1 )),bind(E,$thf( s1 )),bind(F,$thf( s1 )),bind(G,$thf( s0 )),bind(H,$thf( s1 ))]]) ).
thf(21804,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[21771,17]) ).
thf(21805,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[21804]) ).
thf(21806,plain,
s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[21805:[bind(A,$thf( s0 )),bind(B,$thf( s1 )),bind(C,$thf( s1 )),bind(D,$thf( s1 )),bind(E,$thf( s1 )),bind(F,$thf( s1 )),bind(G,$thf( s0 )),bind(H,$thf( s1 )),bind(I,$thf( s1 ))]]) ).
thf(21855,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[21806,23]) ).
thf(21856,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[21855]) ).
thf(21857,plain,
s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[21856:[bind(A,$thf( s0 )),bind(B,$thf( s1 )),bind(C,$thf( s1 )),bind(D,$thf( s1 )),bind(E,$thf( s1 )),bind(F,$thf( s1 ))]]) ).
thf(21890,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[21857,17]) ).
thf(21891,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[21890]) ).
thf(21892,plain,
s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[21891:[bind(A,$thf( s0 )),bind(B,$thf( s1 )),bind(C,$thf( s1 )),bind(D,$thf( s1 )),bind(E,$thf( s1 )),bind(F,$thf( s1 )),bind(G,$thf( s1 )),bind(H,$thf( s0 )),bind(I,$thf( s0 ))]]) ).
thf(21944,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[21892,19]) ).
thf(21945,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[21944]) ).
thf(21946,plain,
s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[21945:[bind(A,$thf( s0 )),bind(B,$thf( s1 )),bind(C,$thf( s1 )),bind(D,$thf( s1 )),bind(E,$thf( s1 )),bind(F,$thf( s1 )),bind(G,$thf( s1 )),bind(H,$thf( s0 ))]]) ).
thf(21977,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[21946,17]) ).
thf(21978,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[21977]) ).
thf(21979,plain,
s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[21978:[bind(A,$thf( s0 )),bind(B,$thf( s1 )),bind(C,$thf( s1 )),bind(D,$thf( s1 )),bind(E,$thf( s1 )),bind(F,$thf( s1 )),bind(G,$thf( s1 )),bind(H,$thf( s0 )),bind(I,$thf( s1 ))]]) ).
thf(22018,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s0 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s1 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[21979,21]) ).
thf(22019,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s0 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s1 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[22018]) ).
thf(22020,plain,
s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[22019:[bind(A,$thf( s0 )),bind(B,$thf( s1 )),bind(C,$thf( s1 )),bind(D,$thf( s1 )),bind(E,$thf( s1 )),bind(F,$thf( s1 )),bind(G,$thf( s1 ))]]) ).
thf(22063,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[22020,17]) ).
thf(22064,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[22063]) ).
thf(22065,plain,
s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[22064:[bind(A,$thf( s0 )),bind(B,$thf( s1 )),bind(C,$thf( s1 )),bind(D,$thf( s1 )),bind(E,$thf( s1 )),bind(F,$thf( s1 )),bind(G,$thf( s1 )),bind(H,$thf( s1 )),bind(I,$thf( s0 ))]]) ).
thf(22118,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[22065,19]) ).
thf(22119,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[22118]) ).
thf(22120,plain,
s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[22119:[bind(A,$thf( s0 )),bind(B,$thf( s1 )),bind(C,$thf( s1 )),bind(D,$thf( s1 )),bind(E,$thf( s1 )),bind(F,$thf( s1 )),bind(G,$thf( s1 )),bind(H,$thf( s1 ))]]) ).
thf(22151,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[22120,17]) ).
thf(22152,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[22151]) ).
thf(22153,plain,
s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[22152:[bind(A,$thf( s0 )),bind(B,$thf( s1 )),bind(C,$thf( s1 )),bind(D,$thf( s1 )),bind(E,$thf( s1 )),bind(F,$thf( s1 )),bind(G,$thf( s1 )),bind(H,$thf( s1 )),bind(I,$thf( s1 ))]]) ).
thf(22184,plain,
( ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(rewrite,[status(thm)],[35,22153]) ).
thf(22185,plain,
s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[22184]) ).
thf(22237,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[22185,17]) ).
thf(22238,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[22237]) ).
thf(22239,plain,
s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[22238:[bind(A,$thf( s1 )),bind(B,$thf( s0 )),bind(C,$thf( s0 )),bind(D,$thf( s0 )),bind(E,$thf( s0 )),bind(F,$thf( s0 )),bind(G,$thf( s0 )),bind(H,$thf( s0 )),bind(I,$thf( s0 ))]]) ).
thf(22284,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[22239,19]) ).
thf(22285,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[22284]) ).
thf(22286,plain,
s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[22285:[bind(A,$thf( s1 )),bind(B,$thf( s0 )),bind(C,$thf( s0 )),bind(D,$thf( s0 )),bind(E,$thf( s0 )),bind(F,$thf( s0 )),bind(G,$thf( s0 )),bind(H,$thf( s0 ))]]) ).
thf(22315,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[22286,17]) ).
thf(22316,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[22315]) ).
thf(22317,plain,
s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[22316:[bind(A,$thf( s1 )),bind(B,$thf( s0 )),bind(C,$thf( s0 )),bind(D,$thf( s0 )),bind(E,$thf( s0 )),bind(F,$thf( s0 )),bind(G,$thf( s0 )),bind(H,$thf( s0 )),bind(I,$thf( s1 ))]]) ).
thf(22352,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s0 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s1 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[22317,21]) ).
thf(22353,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s0 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s1 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[22352]) ).
thf(22354,plain,
s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[22353:[bind(A,$thf( s1 )),bind(B,$thf( s0 )),bind(C,$thf( s0 )),bind(D,$thf( s0 )),bind(E,$thf( s0 )),bind(F,$thf( s0 )),bind(G,$thf( s0 ))]]) ).
thf(22395,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[22354,17]) ).
thf(22396,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[22395]) ).
thf(22397,plain,
s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[22396:[bind(A,$thf( s1 )),bind(B,$thf( s0 )),bind(C,$thf( s0 )),bind(D,$thf( s0 )),bind(E,$thf( s0 )),bind(F,$thf( s0 )),bind(G,$thf( s0 )),bind(H,$thf( s1 )),bind(I,$thf( s0 ))]]) ).
thf(22442,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[22397,19]) ).
thf(22443,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[22442]) ).
thf(22444,plain,
s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[22443:[bind(A,$thf( s1 )),bind(B,$thf( s0 )),bind(C,$thf( s0 )),bind(D,$thf( s0 )),bind(E,$thf( s0 )),bind(F,$thf( s0 )),bind(G,$thf( s0 )),bind(H,$thf( s1 ))]]) ).
thf(22473,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[22444,17]) ).
thf(22474,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[22473]) ).
thf(22475,plain,
s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[22474:[bind(A,$thf( s1 )),bind(B,$thf( s0 )),bind(C,$thf( s0 )),bind(D,$thf( s0 )),bind(E,$thf( s0 )),bind(F,$thf( s0 )),bind(G,$thf( s0 )),bind(H,$thf( s1 )),bind(I,$thf( s1 ))]]) ).
thf(22519,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[22475,23]) ).
thf(22520,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[22519]) ).
thf(22521,plain,
s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[22520:[bind(A,$thf( s1 )),bind(B,$thf( s0 )),bind(C,$thf( s0 )),bind(D,$thf( s0 )),bind(E,$thf( s0 )),bind(F,$thf( s0 ))]]) ).
thf(22552,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[22521,17]) ).
thf(22553,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[22552]) ).
thf(22554,plain,
s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[22553:[bind(A,$thf( s1 )),bind(B,$thf( s0 )),bind(C,$thf( s0 )),bind(D,$thf( s0 )),bind(E,$thf( s0 )),bind(F,$thf( s0 )),bind(G,$thf( s1 )),bind(H,$thf( s0 )),bind(I,$thf( s0 ))]]) ).
thf(22599,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[22554,19]) ).
thf(22600,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[22599]) ).
thf(22601,plain,
s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[22600:[bind(A,$thf( s1 )),bind(B,$thf( s0 )),bind(C,$thf( s0 )),bind(D,$thf( s0 )),bind(E,$thf( s0 )),bind(F,$thf( s0 )),bind(G,$thf( s1 )),bind(H,$thf( s0 ))]]) ).
thf(22630,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[22601,17]) ).
thf(22631,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[22630]) ).
thf(22632,plain,
s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[22631:[bind(A,$thf( s1 )),bind(B,$thf( s0 )),bind(C,$thf( s0 )),bind(D,$thf( s0 )),bind(E,$thf( s0 )),bind(F,$thf( s0 )),bind(G,$thf( s1 )),bind(H,$thf( s0 )),bind(I,$thf( s1 ))]]) ).
thf(22669,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s0 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s1 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[22632,21]) ).
thf(22670,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s0 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s1 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[22669]) ).
thf(22671,plain,
s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[22670:[bind(A,$thf( s1 )),bind(B,$thf( s0 )),bind(C,$thf( s0 )),bind(D,$thf( s0 )),bind(E,$thf( s0 )),bind(F,$thf( s0 )),bind(G,$thf( s1 ))]]) ).
thf(22710,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[22671,17]) ).
thf(22711,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[22710]) ).
thf(22712,plain,
s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[22711:[bind(A,$thf( s1 )),bind(B,$thf( s0 )),bind(C,$thf( s0 )),bind(D,$thf( s0 )),bind(E,$thf( s0 )),bind(F,$thf( s0 )),bind(G,$thf( s1 )),bind(H,$thf( s1 )),bind(I,$thf( s0 ))]]) ).
thf(22757,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[22712,19]) ).
thf(22758,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[22757]) ).
thf(22759,plain,
s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[22758:[bind(A,$thf( s1 )),bind(B,$thf( s0 )),bind(C,$thf( s0 )),bind(D,$thf( s0 )),bind(E,$thf( s0 )),bind(F,$thf( s0 )),bind(G,$thf( s1 )),bind(H,$thf( s1 ))]]) ).
thf(22789,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[22759,17]) ).
thf(22790,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[22789]) ).
thf(22791,plain,
s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[22790:[bind(A,$thf( s1 )),bind(B,$thf( s0 )),bind(C,$thf( s0 )),bind(D,$thf( s0 )),bind(E,$thf( s0 )),bind(F,$thf( s0 )),bind(G,$thf( s1 )),bind(H,$thf( s1 )),bind(I,$thf( s1 ))]]) ).
thf(22818,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[22791,25]) ).
thf(22819,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[22818]) ).
thf(22820,plain,
s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[22819:[bind(A,$thf( s1 )),bind(B,$thf( s0 )),bind(C,$thf( s0 )),bind(D,$thf( s0 )),bind(E,$thf( s0 ))]]) ).
thf(22867,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[22820,17]) ).
thf(22868,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[22867]) ).
thf(22869,plain,
s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[22868:[bind(A,$thf( s1 )),bind(B,$thf( s0 )),bind(C,$thf( s0 )),bind(D,$thf( s0 )),bind(E,$thf( s0 )),bind(F,$thf( s1 )),bind(G,$thf( s0 )),bind(H,$thf( s0 )),bind(I,$thf( s0 ))]]) ).
thf(22914,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[22869,19]) ).
thf(22915,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[22914]) ).
thf(22916,plain,
s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[22915:[bind(A,$thf( s1 )),bind(B,$thf( s0 )),bind(C,$thf( s0 )),bind(D,$thf( s0 )),bind(E,$thf( s0 )),bind(F,$thf( s1 )),bind(G,$thf( s0 )),bind(H,$thf( s0 ))]]) ).
thf(22947,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[22916,17]) ).
thf(22948,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[22947]) ).
thf(22949,plain,
s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[22948:[bind(A,$thf( s1 )),bind(B,$thf( s0 )),bind(C,$thf( s0 )),bind(D,$thf( s0 )),bind(E,$thf( s0 )),bind(F,$thf( s1 )),bind(G,$thf( s0 )),bind(H,$thf( s0 )),bind(I,$thf( s1 ))]]) ).
thf(22984,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s0 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s1 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[22949,21]) ).
thf(22985,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s0 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s1 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[22984]) ).
thf(22986,plain,
s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[22985:[bind(A,$thf( s1 )),bind(B,$thf( s0 )),bind(C,$thf( s0 )),bind(D,$thf( s0 )),bind(E,$thf( s0 )),bind(F,$thf( s1 )),bind(G,$thf( s0 ))]]) ).
thf(23025,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[22986,17]) ).
thf(23026,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[23025]) ).
thf(23027,plain,
s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[23026:[bind(A,$thf( s1 )),bind(B,$thf( s0 )),bind(C,$thf( s0 )),bind(D,$thf( s0 )),bind(E,$thf( s0 )),bind(F,$thf( s1 )),bind(G,$thf( s0 )),bind(H,$thf( s1 )),bind(I,$thf( s0 ))]]) ).
thf(23073,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[23027,19]) ).
thf(23074,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[23073]) ).
thf(23075,plain,
s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[23074:[bind(A,$thf( s1 )),bind(B,$thf( s0 )),bind(C,$thf( s0 )),bind(D,$thf( s0 )),bind(E,$thf( s0 )),bind(F,$thf( s1 )),bind(G,$thf( s0 )),bind(H,$thf( s1 ))]]) ).
thf(23104,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[23075,17]) ).
thf(23105,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[23104]) ).
thf(23106,plain,
s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[23105:[bind(A,$thf( s1 )),bind(B,$thf( s0 )),bind(C,$thf( s0 )),bind(D,$thf( s0 )),bind(E,$thf( s0 )),bind(F,$thf( s1 )),bind(G,$thf( s0 )),bind(H,$thf( s1 )),bind(I,$thf( s1 ))]]) ).
thf(23149,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[23106,23]) ).
thf(23150,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[23149]) ).
thf(23151,plain,
s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[23150:[bind(A,$thf( s1 )),bind(B,$thf( s0 )),bind(C,$thf( s0 )),bind(D,$thf( s0 )),bind(E,$thf( s0 )),bind(F,$thf( s1 ))]]) ).
thf(23182,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[23151,17]) ).
thf(23183,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[23182]) ).
thf(23184,plain,
s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[23183:[bind(A,$thf( s1 )),bind(B,$thf( s0 )),bind(C,$thf( s0 )),bind(D,$thf( s0 )),bind(E,$thf( s0 )),bind(F,$thf( s1 )),bind(G,$thf( s1 )),bind(H,$thf( s0 )),bind(I,$thf( s0 ))]]) ).
thf(23231,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[23184,19]) ).
thf(23232,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[23231]) ).
thf(23233,plain,
s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[23232:[bind(A,$thf( s1 )),bind(B,$thf( s0 )),bind(C,$thf( s0 )),bind(D,$thf( s0 )),bind(E,$thf( s0 )),bind(F,$thf( s1 )),bind(G,$thf( s1 )),bind(H,$thf( s0 ))]]) ).
thf(23262,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[23233,17]) ).
thf(23263,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[23262]) ).
thf(23264,plain,
s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[23263:[bind(A,$thf( s1 )),bind(B,$thf( s0 )),bind(C,$thf( s0 )),bind(D,$thf( s0 )),bind(E,$thf( s0 )),bind(F,$thf( s1 )),bind(G,$thf( s1 )),bind(H,$thf( s0 )),bind(I,$thf( s1 ))]]) ).
thf(23299,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s0 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s1 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[23264,21]) ).
thf(23300,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s0 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s1 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[23299]) ).
thf(23301,plain,
s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[23300:[bind(A,$thf( s1 )),bind(B,$thf( s0 )),bind(C,$thf( s0 )),bind(D,$thf( s0 )),bind(E,$thf( s0 )),bind(F,$thf( s1 )),bind(G,$thf( s1 ))]]) ).
thf(23341,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[23301,17]) ).
thf(23342,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[23341]) ).
thf(23343,plain,
s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[23342:[bind(A,$thf( s1 )),bind(B,$thf( s0 )),bind(C,$thf( s0 )),bind(D,$thf( s0 )),bind(E,$thf( s0 )),bind(F,$thf( s1 )),bind(G,$thf( s1 )),bind(H,$thf( s1 )),bind(I,$thf( s0 ))]]) ).
thf(23388,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[23343,19]) ).
thf(23389,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[23388]) ).
thf(23390,plain,
s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[23389:[bind(A,$thf( s1 )),bind(B,$thf( s0 )),bind(C,$thf( s0 )),bind(D,$thf( s0 )),bind(E,$thf( s0 )),bind(F,$thf( s1 )),bind(G,$thf( s1 )),bind(H,$thf( s1 ))]]) ).
thf(23419,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[23390,17]) ).
thf(23420,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[23419]) ).
thf(23421,plain,
s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[23420:[bind(A,$thf( s1 )),bind(B,$thf( s0 )),bind(C,$thf( s0 )),bind(D,$thf( s0 )),bind(E,$thf( s0 )),bind(F,$thf( s1 )),bind(G,$thf( s1 )),bind(H,$thf( s1 )),bind(I,$thf( s1 ))]]) ).
thf(23460,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[23421,27]) ).
thf(23461,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[23460]) ).
thf(23462,plain,
s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[23461:[bind(A,$thf( s1 )),bind(B,$thf( s0 )),bind(C,$thf( s0 )),bind(D,$thf( s0 ))]]) ).
thf(23499,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[23462,17]) ).
thf(23500,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[23499]) ).
thf(23501,plain,
s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[23500:[bind(A,$thf( s1 )),bind(B,$thf( s0 )),bind(C,$thf( s0 )),bind(D,$thf( s0 )),bind(E,$thf( s1 )),bind(F,$thf( s0 )),bind(G,$thf( s0 )),bind(H,$thf( s0 )),bind(I,$thf( s0 ))]]) ).
thf(23546,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[23501,19]) ).
thf(23547,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[23546]) ).
thf(23548,plain,
s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[23547:[bind(A,$thf( s1 )),bind(B,$thf( s0 )),bind(C,$thf( s0 )),bind(D,$thf( s0 )),bind(E,$thf( s1 )),bind(F,$thf( s0 )),bind(G,$thf( s0 )),bind(H,$thf( s0 ))]]) ).
thf(23577,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[23548,17]) ).
thf(23578,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[23577]) ).
thf(23579,plain,
s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[23578:[bind(A,$thf( s1 )),bind(B,$thf( s0 )),bind(C,$thf( s0 )),bind(D,$thf( s0 )),bind(E,$thf( s1 )),bind(F,$thf( s0 )),bind(G,$thf( s0 )),bind(H,$thf( s0 )),bind(I,$thf( s1 ))]]) ).
thf(23615,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s0 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s1 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[23579,21]) ).
thf(23616,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s0 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s1 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[23615]) ).
thf(23617,plain,
s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[23616:[bind(A,$thf( s1 )),bind(B,$thf( s0 )),bind(C,$thf( s0 )),bind(D,$thf( s0 )),bind(E,$thf( s1 )),bind(F,$thf( s0 )),bind(G,$thf( s0 ))]]) ).
thf(23656,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[23617,17]) ).
thf(23657,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[23656]) ).
thf(23658,plain,
s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[23657:[bind(A,$thf( s1 )),bind(B,$thf( s0 )),bind(C,$thf( s0 )),bind(D,$thf( s0 )),bind(E,$thf( s1 )),bind(F,$thf( s0 )),bind(G,$thf( s0 )),bind(H,$thf( s1 )),bind(I,$thf( s0 ))]]) ).
thf(23703,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[23658,19]) ).
thf(23704,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[23703]) ).
thf(23705,plain,
s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[23704:[bind(A,$thf( s1 )),bind(B,$thf( s0 )),bind(C,$thf( s0 )),bind(D,$thf( s0 )),bind(E,$thf( s1 )),bind(F,$thf( s0 )),bind(G,$thf( s0 )),bind(H,$thf( s1 ))]]) ).
thf(23734,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[23705,17]) ).
thf(23735,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[23734]) ).
thf(23736,plain,
s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[23735:[bind(A,$thf( s1 )),bind(B,$thf( s0 )),bind(C,$thf( s0 )),bind(D,$thf( s0 )),bind(E,$thf( s1 )),bind(F,$thf( s0 )),bind(G,$thf( s0 )),bind(H,$thf( s1 )),bind(I,$thf( s1 ))]]) ).
thf(23781,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[23736,23]) ).
thf(23782,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[23781]) ).
thf(23783,plain,
s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[23782:[bind(A,$thf( s1 )),bind(B,$thf( s0 )),bind(C,$thf( s0 )),bind(D,$thf( s0 )),bind(E,$thf( s1 )),bind(F,$thf( s0 ))]]) ).
thf(23814,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[23783,17]) ).
thf(23815,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[23814]) ).
thf(23816,plain,
s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[23815:[bind(A,$thf( s1 )),bind(B,$thf( s0 )),bind(C,$thf( s0 )),bind(D,$thf( s0 )),bind(E,$thf( s1 )),bind(F,$thf( s0 )),bind(G,$thf( s1 )),bind(H,$thf( s0 )),bind(I,$thf( s0 ))]]) ).
thf(23861,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[23816,19]) ).
thf(23862,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[23861]) ).
thf(23863,plain,
s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[23862:[bind(A,$thf( s1 )),bind(B,$thf( s0 )),bind(C,$thf( s0 )),bind(D,$thf( s0 )),bind(E,$thf( s1 )),bind(F,$thf( s0 )),bind(G,$thf( s1 )),bind(H,$thf( s0 ))]]) ).
thf(23893,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[23863,17]) ).
thf(23894,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[23893]) ).
thf(23895,plain,
s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[23894:[bind(A,$thf( s1 )),bind(B,$thf( s0 )),bind(C,$thf( s0 )),bind(D,$thf( s0 )),bind(E,$thf( s1 )),bind(F,$thf( s0 )),bind(G,$thf( s1 )),bind(H,$thf( s0 )),bind(I,$thf( s1 ))]]) ).
thf(23930,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s0 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s1 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[23895,21]) ).
thf(23931,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s0 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s1 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[23930]) ).
thf(23932,plain,
s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[23931:[bind(A,$thf( s1 )),bind(B,$thf( s0 )),bind(C,$thf( s0 )),bind(D,$thf( s0 )),bind(E,$thf( s1 )),bind(F,$thf( s0 )),bind(G,$thf( s1 ))]]) ).
thf(23971,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[23932,17]) ).
thf(23972,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[23971]) ).
thf(23973,plain,
s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[23972:[bind(A,$thf( s1 )),bind(B,$thf( s0 )),bind(C,$thf( s0 )),bind(D,$thf( s0 )),bind(E,$thf( s1 )),bind(F,$thf( s0 )),bind(G,$thf( s1 )),bind(H,$thf( s1 )),bind(I,$thf( s0 ))]]) ).
thf(24018,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[23973,19]) ).
thf(24019,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[24018]) ).
thf(24020,plain,
s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[24019:[bind(A,$thf( s1 )),bind(B,$thf( s0 )),bind(C,$thf( s0 )),bind(D,$thf( s0 )),bind(E,$thf( s1 )),bind(F,$thf( s0 )),bind(G,$thf( s1 )),bind(H,$thf( s1 ))]]) ).
thf(24051,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[24020,17]) ).
thf(24052,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[24051]) ).
thf(24053,plain,
s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[24052:[bind(A,$thf( s1 )),bind(B,$thf( s0 )),bind(C,$thf( s0 )),bind(D,$thf( s0 )),bind(E,$thf( s1 )),bind(F,$thf( s0 )),bind(G,$thf( s1 )),bind(H,$thf( s1 )),bind(I,$thf( s1 ))]]) ).
thf(24080,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[24053,25]) ).
thf(24081,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[24080]) ).
thf(24082,plain,
s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[24081:[bind(A,$thf( s1 )),bind(B,$thf( s0 )),bind(C,$thf( s0 )),bind(D,$thf( s0 )),bind(E,$thf( s1 ))]]) ).
thf(24129,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[24082,17]) ).
thf(24130,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[24129]) ).
thf(24131,plain,
s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[24130:[bind(A,$thf( s1 )),bind(B,$thf( s0 )),bind(C,$thf( s0 )),bind(D,$thf( s0 )),bind(E,$thf( s1 )),bind(F,$thf( s1 )),bind(G,$thf( s0 )),bind(H,$thf( s0 )),bind(I,$thf( s0 ))]]) ).
thf(24177,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[24131,19]) ).
thf(24178,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[24177]) ).
thf(24179,plain,
s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[24178:[bind(A,$thf( s1 )),bind(B,$thf( s0 )),bind(C,$thf( s0 )),bind(D,$thf( s0 )),bind(E,$thf( s1 )),bind(F,$thf( s1 )),bind(G,$thf( s0 )),bind(H,$thf( s0 ))]]) ).
thf(24208,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[24179,17]) ).
thf(24209,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[24208]) ).
thf(24210,plain,
s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[24209:[bind(A,$thf( s1 )),bind(B,$thf( s0 )),bind(C,$thf( s0 )),bind(D,$thf( s0 )),bind(E,$thf( s1 )),bind(F,$thf( s1 )),bind(G,$thf( s0 )),bind(H,$thf( s0 )),bind(I,$thf( s1 ))]]) ).
thf(24245,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s0 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s1 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[24210,21]) ).
thf(24246,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s0 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s1 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[24245]) ).
thf(24247,plain,
s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[24246:[bind(A,$thf( s1 )),bind(B,$thf( s0 )),bind(C,$thf( s0 )),bind(D,$thf( s0 )),bind(E,$thf( s1 )),bind(F,$thf( s1 )),bind(G,$thf( s0 ))]]) ).
thf(24286,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[24247,17]) ).
thf(24287,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[24286]) ).
thf(24288,plain,
s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[24287:[bind(A,$thf( s1 )),bind(B,$thf( s0 )),bind(C,$thf( s0 )),bind(D,$thf( s0 )),bind(E,$thf( s1 )),bind(F,$thf( s1 )),bind(G,$thf( s0 )),bind(H,$thf( s1 )),bind(I,$thf( s0 ))]]) ).
thf(24335,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[24288,19]) ).
thf(24336,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[24335]) ).
thf(24337,plain,
s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[24336:[bind(A,$thf( s1 )),bind(B,$thf( s0 )),bind(C,$thf( s0 )),bind(D,$thf( s0 )),bind(E,$thf( s1 )),bind(F,$thf( s1 )),bind(G,$thf( s0 )),bind(H,$thf( s1 ))]]) ).
thf(24366,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[24337,17]) ).
thf(24367,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[24366]) ).
thf(24368,plain,
s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[24367:[bind(A,$thf( s1 )),bind(B,$thf( s0 )),bind(C,$thf( s0 )),bind(D,$thf( s0 )),bind(E,$thf( s1 )),bind(F,$thf( s1 )),bind(G,$thf( s0 )),bind(H,$thf( s1 )),bind(I,$thf( s1 ))]]) ).
thf(24411,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[24368,23]) ).
thf(24412,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[24411]) ).
thf(24413,plain,
s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[24412:[bind(A,$thf( s1 )),bind(B,$thf( s0 )),bind(C,$thf( s0 )),bind(D,$thf( s0 )),bind(E,$thf( s1 )),bind(F,$thf( s1 ))]]) ).
thf(24445,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[24413,17]) ).
thf(24446,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[24445]) ).
thf(24447,plain,
s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[24446:[bind(A,$thf( s1 )),bind(B,$thf( s0 )),bind(C,$thf( s0 )),bind(D,$thf( s0 )),bind(E,$thf( s1 )),bind(F,$thf( s1 )),bind(G,$thf( s1 )),bind(H,$thf( s0 )),bind(I,$thf( s0 ))]]) ).
thf(24492,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[24447,19]) ).
thf(24493,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[24492]) ).
thf(24494,plain,
s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[24493:[bind(A,$thf( s1 )),bind(B,$thf( s0 )),bind(C,$thf( s0 )),bind(D,$thf( s0 )),bind(E,$thf( s1 )),bind(F,$thf( s1 )),bind(G,$thf( s1 )),bind(H,$thf( s0 ))]]) ).
thf(24523,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[24494,17]) ).
thf(24524,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[24523]) ).
thf(24525,plain,
s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[24524:[bind(A,$thf( s1 )),bind(B,$thf( s0 )),bind(C,$thf( s0 )),bind(D,$thf( s0 )),bind(E,$thf( s1 )),bind(F,$thf( s1 )),bind(G,$thf( s1 )),bind(H,$thf( s0 )),bind(I,$thf( s1 ))]]) ).
thf(24560,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s0 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s1 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[24525,21]) ).
thf(24561,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s0 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s1 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[24560]) ).
thf(24562,plain,
s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[24561:[bind(A,$thf( s1 )),bind(B,$thf( s0 )),bind(C,$thf( s0 )),bind(D,$thf( s0 )),bind(E,$thf( s1 )),bind(F,$thf( s1 )),bind(G,$thf( s1 ))]]) ).
thf(24603,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[24562,17]) ).
thf(24604,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[24603]) ).
thf(24605,plain,
s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[24604:[bind(A,$thf( s1 )),bind(B,$thf( s0 )),bind(C,$thf( s0 )),bind(D,$thf( s0 )),bind(E,$thf( s1 )),bind(F,$thf( s1 )),bind(G,$thf( s1 )),bind(H,$thf( s1 )),bind(I,$thf( s0 ))]]) ).
thf(24650,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[24605,19]) ).
thf(24651,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[24650]) ).
thf(24652,plain,
s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[24651:[bind(A,$thf( s1 )),bind(B,$thf( s0 )),bind(C,$thf( s0 )),bind(D,$thf( s0 )),bind(E,$thf( s1 )),bind(F,$thf( s1 )),bind(G,$thf( s1 )),bind(H,$thf( s1 ))]]) ).
thf(24681,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[24652,17]) ).
thf(24682,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[24681]) ).
thf(24683,plain,
s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[24682:[bind(A,$thf( s1 )),bind(B,$thf( s0 )),bind(C,$thf( s0 )),bind(D,$thf( s0 )),bind(E,$thf( s1 )),bind(F,$thf( s1 )),bind(G,$thf( s1 )),bind(H,$thf( s1 )),bind(I,$thf( s1 ))]]) ).
thf(24715,plain,
! [C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[24683,29]) ).
thf(24716,plain,
! [C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[24715]) ).
thf(24717,plain,
s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[24716:[bind(A,$thf( s1 )),bind(B,$thf( s0 )),bind(C,$thf( s0 ))]]) ).
thf(24760,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[24717,17]) ).
thf(24761,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[24760]) ).
thf(24762,plain,
s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[24761:[bind(A,$thf( s1 )),bind(B,$thf( s0 )),bind(C,$thf( s0 )),bind(D,$thf( s1 )),bind(E,$thf( s0 )),bind(F,$thf( s0 )),bind(G,$thf( s0 )),bind(H,$thf( s0 )),bind(I,$thf( s0 ))]]) ).
thf(24807,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[24762,19]) ).
thf(24808,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[24807]) ).
thf(24809,plain,
s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[24808:[bind(A,$thf( s1 )),bind(B,$thf( s0 )),bind(C,$thf( s0 )),bind(D,$thf( s1 )),bind(E,$thf( s0 )),bind(F,$thf( s0 )),bind(G,$thf( s0 )),bind(H,$thf( s0 ))]]) ).
thf(24838,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[24809,17]) ).
thf(24839,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[24838]) ).
thf(24840,plain,
s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[24839:[bind(A,$thf( s1 )),bind(B,$thf( s0 )),bind(C,$thf( s0 )),bind(D,$thf( s1 )),bind(E,$thf( s0 )),bind(F,$thf( s0 )),bind(G,$thf( s0 )),bind(H,$thf( s0 )),bind(I,$thf( s1 ))]]) ).
thf(24877,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s0 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s1 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[24840,21]) ).
thf(24878,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s0 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s1 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[24877]) ).
thf(24879,plain,
s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[24878:[bind(A,$thf( s1 )),bind(B,$thf( s0 )),bind(C,$thf( s0 )),bind(D,$thf( s1 )),bind(E,$thf( s0 )),bind(F,$thf( s0 )),bind(G,$thf( s0 ))]]) ).
thf(24918,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[24879,17]) ).
thf(24919,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[24918]) ).
thf(24920,plain,
s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[24919:[bind(A,$thf( s1 )),bind(B,$thf( s0 )),bind(C,$thf( s0 )),bind(D,$thf( s1 )),bind(E,$thf( s0 )),bind(F,$thf( s0 )),bind(G,$thf( s0 )),bind(H,$thf( s1 )),bind(I,$thf( s0 ))]]) ).
thf(24965,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[24920,19]) ).
thf(24966,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[24965]) ).
thf(24967,plain,
s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[24966:[bind(A,$thf( s1 )),bind(B,$thf( s0 )),bind(C,$thf( s0 )),bind(D,$thf( s1 )),bind(E,$thf( s0 )),bind(F,$thf( s0 )),bind(G,$thf( s0 )),bind(H,$thf( s1 ))]]) ).
thf(24997,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[24967,17]) ).
thf(24998,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[24997]) ).
thf(24999,plain,
s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[24998:[bind(A,$thf( s1 )),bind(B,$thf( s0 )),bind(C,$thf( s0 )),bind(D,$thf( s1 )),bind(E,$thf( s0 )),bind(F,$thf( s0 )),bind(G,$thf( s0 )),bind(H,$thf( s1 )),bind(I,$thf( s1 ))]]) ).
thf(25042,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[24999,23]) ).
thf(25043,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[25042]) ).
thf(25044,plain,
s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[25043:[bind(A,$thf( s1 )),bind(B,$thf( s0 )),bind(C,$thf( s0 )),bind(D,$thf( s1 )),bind(E,$thf( s0 )),bind(F,$thf( s0 ))]]) ).
thf(25075,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[25044,17]) ).
thf(25076,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[25075]) ).
thf(25077,plain,
s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[25076:[bind(A,$thf( s1 )),bind(B,$thf( s0 )),bind(C,$thf( s0 )),bind(D,$thf( s1 )),bind(E,$thf( s0 )),bind(F,$thf( s0 )),bind(G,$thf( s1 )),bind(H,$thf( s0 )),bind(I,$thf( s0 ))]]) ).
thf(25122,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[25077,19]) ).
thf(25123,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[25122]) ).
thf(25124,plain,
s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[25123:[bind(A,$thf( s1 )),bind(B,$thf( s0 )),bind(C,$thf( s0 )),bind(D,$thf( s1 )),bind(E,$thf( s0 )),bind(F,$thf( s0 )),bind(G,$thf( s1 )),bind(H,$thf( s0 ))]]) ).
thf(25155,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[25124,17]) ).
thf(25156,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[25155]) ).
thf(25157,plain,
s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[25156:[bind(A,$thf( s1 )),bind(B,$thf( s0 )),bind(C,$thf( s0 )),bind(D,$thf( s1 )),bind(E,$thf( s0 )),bind(F,$thf( s0 )),bind(G,$thf( s1 )),bind(H,$thf( s0 )),bind(I,$thf( s1 ))]]) ).
thf(25192,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s0 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s1 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[25157,21]) ).
thf(25193,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s0 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s1 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[25192]) ).
thf(25194,plain,
s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[25193:[bind(A,$thf( s1 )),bind(B,$thf( s0 )),bind(C,$thf( s0 )),bind(D,$thf( s1 )),bind(E,$thf( s0 )),bind(F,$thf( s0 )),bind(G,$thf( s1 ))]]) ).
thf(25233,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[25194,17]) ).
thf(25234,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[25233]) ).
thf(25235,plain,
s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[25234:[bind(A,$thf( s1 )),bind(B,$thf( s0 )),bind(C,$thf( s0 )),bind(D,$thf( s1 )),bind(E,$thf( s0 )),bind(F,$thf( s0 )),bind(G,$thf( s1 )),bind(H,$thf( s1 )),bind(I,$thf( s0 ))]]) ).
thf(25281,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[25235,19]) ).
thf(25282,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[25281]) ).
thf(25283,plain,
s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[25282:[bind(A,$thf( s1 )),bind(B,$thf( s0 )),bind(C,$thf( s0 )),bind(D,$thf( s1 )),bind(E,$thf( s0 )),bind(F,$thf( s0 )),bind(G,$thf( s1 )),bind(H,$thf( s1 ))]]) ).
thf(25312,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[25283,17]) ).
thf(25313,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[25312]) ).
thf(25314,plain,
s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[25313:[bind(A,$thf( s1 )),bind(B,$thf( s0 )),bind(C,$thf( s0 )),bind(D,$thf( s1 )),bind(E,$thf( s0 )),bind(F,$thf( s0 )),bind(G,$thf( s1 )),bind(H,$thf( s1 )),bind(I,$thf( s1 ))]]) ).
thf(25341,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[25314,25]) ).
thf(25342,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[25341]) ).
thf(25343,plain,
s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[25342:[bind(A,$thf( s1 )),bind(B,$thf( s0 )),bind(C,$thf( s0 )),bind(D,$thf( s1 )),bind(E,$thf( s0 ))]]) ).
thf(25390,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[25343,17]) ).
thf(25391,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[25390]) ).
thf(25392,plain,
s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[25391:[bind(A,$thf( s1 )),bind(B,$thf( s0 )),bind(C,$thf( s0 )),bind(D,$thf( s1 )),bind(E,$thf( s0 )),bind(F,$thf( s1 )),bind(G,$thf( s0 )),bind(H,$thf( s0 )),bind(I,$thf( s0 ))]]) ).
thf(25439,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[25392,19]) ).
thf(25440,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[25439]) ).
thf(25441,plain,
s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[25440:[bind(A,$thf( s1 )),bind(B,$thf( s0 )),bind(C,$thf( s0 )),bind(D,$thf( s1 )),bind(E,$thf( s0 )),bind(F,$thf( s1 )),bind(G,$thf( s0 )),bind(H,$thf( s0 ))]]) ).
thf(25470,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[25441,17]) ).
thf(25471,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[25470]) ).
thf(25472,plain,
s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[25471:[bind(A,$thf( s1 )),bind(B,$thf( s0 )),bind(C,$thf( s0 )),bind(D,$thf( s1 )),bind(E,$thf( s0 )),bind(F,$thf( s1 )),bind(G,$thf( s0 )),bind(H,$thf( s0 )),bind(I,$thf( s1 ))]]) ).
thf(25507,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s0 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s1 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[25472,21]) ).
thf(25508,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s0 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s1 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[25507]) ).
thf(25509,plain,
s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[25508:[bind(A,$thf( s1 )),bind(B,$thf( s0 )),bind(C,$thf( s0 )),bind(D,$thf( s1 )),bind(E,$thf( s0 )),bind(F,$thf( s1 )),bind(G,$thf( s0 ))]]) ).
thf(25549,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[25509,17]) ).
thf(25550,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[25549]) ).
thf(25551,plain,
s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[25550:[bind(A,$thf( s1 )),bind(B,$thf( s0 )),bind(C,$thf( s0 )),bind(D,$thf( s1 )),bind(E,$thf( s0 )),bind(F,$thf( s1 )),bind(G,$thf( s0 )),bind(H,$thf( s1 )),bind(I,$thf( s0 ))]]) ).
thf(25596,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[25551,19]) ).
thf(25597,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[25596]) ).
thf(25598,plain,
s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[25597:[bind(A,$thf( s1 )),bind(B,$thf( s0 )),bind(C,$thf( s0 )),bind(D,$thf( s1 )),bind(E,$thf( s0 )),bind(F,$thf( s1 )),bind(G,$thf( s0 )),bind(H,$thf( s1 ))]]) ).
thf(25627,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[25598,17]) ).
thf(25628,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[25627]) ).
thf(25629,plain,
s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[25628:[bind(A,$thf( s1 )),bind(B,$thf( s0 )),bind(C,$thf( s0 )),bind(D,$thf( s1 )),bind(E,$thf( s0 )),bind(F,$thf( s1 )),bind(G,$thf( s0 )),bind(H,$thf( s1 )),bind(I,$thf( s1 ))]]) ).
thf(25672,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[25629,23]) ).
thf(25673,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[25672]) ).
thf(25674,plain,
s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[25673:[bind(A,$thf( s1 )),bind(B,$thf( s0 )),bind(C,$thf( s0 )),bind(D,$thf( s1 )),bind(E,$thf( s0 )),bind(F,$thf( s1 ))]]) ).
thf(25707,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[25674,17]) ).
thf(25708,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[25707]) ).
thf(25709,plain,
s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[25708:[bind(A,$thf( s1 )),bind(B,$thf( s0 )),bind(C,$thf( s0 )),bind(D,$thf( s1 )),bind(E,$thf( s0 )),bind(F,$thf( s1 )),bind(G,$thf( s1 )),bind(H,$thf( s0 )),bind(I,$thf( s0 ))]]) ).
thf(25754,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[25709,19]) ).
thf(25755,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[25754]) ).
thf(25756,plain,
s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[25755:[bind(A,$thf( s1 )),bind(B,$thf( s0 )),bind(C,$thf( s0 )),bind(D,$thf( s1 )),bind(E,$thf( s0 )),bind(F,$thf( s1 )),bind(G,$thf( s1 )),bind(H,$thf( s0 ))]]) ).
thf(25785,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[25756,17]) ).
thf(25786,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[25785]) ).
thf(25787,plain,
s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[25786:[bind(A,$thf( s1 )),bind(B,$thf( s0 )),bind(C,$thf( s0 )),bind(D,$thf( s1 )),bind(E,$thf( s0 )),bind(F,$thf( s1 )),bind(G,$thf( s1 )),bind(H,$thf( s0 )),bind(I,$thf( s1 ))]]) ).
thf(25823,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s0 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s1 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[25787,21]) ).
thf(25824,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s0 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s1 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[25823]) ).
thf(25825,plain,
s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[25824:[bind(A,$thf( s1 )),bind(B,$thf( s0 )),bind(C,$thf( s0 )),bind(D,$thf( s1 )),bind(E,$thf( s0 )),bind(F,$thf( s1 )),bind(G,$thf( s1 ))]]) ).
thf(25864,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[25825,17]) ).
thf(25865,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[25864]) ).
thf(25866,plain,
s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[25865:[bind(A,$thf( s1 )),bind(B,$thf( s0 )),bind(C,$thf( s0 )),bind(D,$thf( s1 )),bind(E,$thf( s0 )),bind(F,$thf( s1 )),bind(G,$thf( s1 )),bind(H,$thf( s1 )),bind(I,$thf( s0 ))]]) ).
thf(25911,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[25866,19]) ).
thf(25912,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[25911]) ).
thf(25913,plain,
s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[25912:[bind(A,$thf( s1 )),bind(B,$thf( s0 )),bind(C,$thf( s0 )),bind(D,$thf( s1 )),bind(E,$thf( s0 )),bind(F,$thf( s1 )),bind(G,$thf( s1 )),bind(H,$thf( s1 ))]]) ).
thf(25942,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[25913,17]) ).
thf(25943,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[25942]) ).
thf(25944,plain,
s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[25943:[bind(A,$thf( s1 )),bind(B,$thf( s0 )),bind(C,$thf( s0 )),bind(D,$thf( s1 )),bind(E,$thf( s0 )),bind(F,$thf( s1 )),bind(G,$thf( s1 )),bind(H,$thf( s1 )),bind(I,$thf( s1 ))]]) ).
thf(25985,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[25944,27]) ).
thf(25986,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[25985]) ).
thf(25987,plain,
s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[25986:[bind(A,$thf( s1 )),bind(B,$thf( s0 )),bind(C,$thf( s0 )),bind(D,$thf( s1 ))]]) ).
thf(26022,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[25987,17]) ).
thf(26023,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[26022]) ).
thf(26024,plain,
s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[26023:[bind(A,$thf( s1 )),bind(B,$thf( s0 )),bind(C,$thf( s0 )),bind(D,$thf( s1 )),bind(E,$thf( s1 )),bind(F,$thf( s0 )),bind(G,$thf( s0 )),bind(H,$thf( s0 )),bind(I,$thf( s0 ))]]) ).
thf(26069,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[26024,19]) ).
thf(26070,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[26069]) ).
thf(26071,plain,
s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[26070:[bind(A,$thf( s1 )),bind(B,$thf( s0 )),bind(C,$thf( s0 )),bind(D,$thf( s1 )),bind(E,$thf( s1 )),bind(F,$thf( s0 )),bind(G,$thf( s0 )),bind(H,$thf( s0 ))]]) ).
thf(26101,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[26071,17]) ).
thf(26102,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[26101]) ).
thf(26103,plain,
s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[26102:[bind(A,$thf( s1 )),bind(B,$thf( s0 )),bind(C,$thf( s0 )),bind(D,$thf( s1 )),bind(E,$thf( s1 )),bind(F,$thf( s0 )),bind(G,$thf( s0 )),bind(H,$thf( s0 )),bind(I,$thf( s1 ))]]) ).
thf(26138,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s0 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s1 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[26103,21]) ).
thf(26139,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s0 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s1 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[26138]) ).
thf(26140,plain,
s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[26139:[bind(A,$thf( s1 )),bind(B,$thf( s0 )),bind(C,$thf( s0 )),bind(D,$thf( s1 )),bind(E,$thf( s1 )),bind(F,$thf( s0 )),bind(G,$thf( s0 ))]]) ).
thf(26179,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[26140,17]) ).
thf(26180,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[26179]) ).
thf(26181,plain,
s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[26180:[bind(A,$thf( s1 )),bind(B,$thf( s0 )),bind(C,$thf( s0 )),bind(D,$thf( s1 )),bind(E,$thf( s1 )),bind(F,$thf( s0 )),bind(G,$thf( s0 )),bind(H,$thf( s1 )),bind(I,$thf( s0 ))]]) ).
thf(26226,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[26181,19]) ).
thf(26227,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[26226]) ).
thf(26228,plain,
s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[26227:[bind(A,$thf( s1 )),bind(B,$thf( s0 )),bind(C,$thf( s0 )),bind(D,$thf( s1 )),bind(E,$thf( s1 )),bind(F,$thf( s0 )),bind(G,$thf( s0 )),bind(H,$thf( s1 ))]]) ).
thf(26259,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[26228,17]) ).
thf(26260,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[26259]) ).
thf(26261,plain,
s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[26260:[bind(A,$thf( s1 )),bind(B,$thf( s0 )),bind(C,$thf( s0 )),bind(D,$thf( s1 )),bind(E,$thf( s1 )),bind(F,$thf( s0 )),bind(G,$thf( s0 )),bind(H,$thf( s1 )),bind(I,$thf( s1 ))]]) ).
thf(26304,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[26261,23]) ).
thf(26305,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[26304]) ).
thf(26306,plain,
s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[26305:[bind(A,$thf( s1 )),bind(B,$thf( s0 )),bind(C,$thf( s0 )),bind(D,$thf( s1 )),bind(E,$thf( s1 )),bind(F,$thf( s0 ))]]) ).
thf(26337,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[26306,17]) ).
thf(26338,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[26337]) ).
thf(26339,plain,
s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[26338:[bind(A,$thf( s1 )),bind(B,$thf( s0 )),bind(C,$thf( s0 )),bind(D,$thf( s1 )),bind(E,$thf( s1 )),bind(F,$thf( s0 )),bind(G,$thf( s1 )),bind(H,$thf( s0 )),bind(I,$thf( s0 ))]]) ).
thf(26385,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[26339,19]) ).
thf(26386,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[26385]) ).
thf(26387,plain,
s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[26386:[bind(A,$thf( s1 )),bind(B,$thf( s0 )),bind(C,$thf( s0 )),bind(D,$thf( s1 )),bind(E,$thf( s1 )),bind(F,$thf( s0 )),bind(G,$thf( s1 )),bind(H,$thf( s0 ))]]) ).
thf(26416,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[26387,17]) ).
thf(26417,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[26416]) ).
thf(26418,plain,
s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[26417:[bind(A,$thf( s1 )),bind(B,$thf( s0 )),bind(C,$thf( s0 )),bind(D,$thf( s1 )),bind(E,$thf( s1 )),bind(F,$thf( s0 )),bind(G,$thf( s1 )),bind(H,$thf( s0 )),bind(I,$thf( s1 ))]]) ).
thf(26453,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s0 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s1 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[26418,21]) ).
thf(26454,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s0 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s1 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[26453]) ).
thf(26455,plain,
s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[26454:[bind(A,$thf( s1 )),bind(B,$thf( s0 )),bind(C,$thf( s0 )),bind(D,$thf( s1 )),bind(E,$thf( s1 )),bind(F,$thf( s0 )),bind(G,$thf( s1 ))]]) ).
thf(26494,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[26455,17]) ).
thf(26495,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[26494]) ).
thf(26496,plain,
s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[26495:[bind(A,$thf( s1 )),bind(B,$thf( s0 )),bind(C,$thf( s0 )),bind(D,$thf( s1 )),bind(E,$thf( s1 )),bind(F,$thf( s0 )),bind(G,$thf( s1 )),bind(H,$thf( s1 )),bind(I,$thf( s0 ))]]) ).
thf(26543,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[26496,19]) ).
thf(26544,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[26543]) ).
thf(26545,plain,
s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[26544:[bind(A,$thf( s1 )),bind(B,$thf( s0 )),bind(C,$thf( s0 )),bind(D,$thf( s1 )),bind(E,$thf( s1 )),bind(F,$thf( s0 )),bind(G,$thf( s1 )),bind(H,$thf( s1 ))]]) ).
thf(26574,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[26545,17]) ).
thf(26575,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[26574]) ).
thf(26576,plain,
s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[26575:[bind(A,$thf( s1 )),bind(B,$thf( s0 )),bind(C,$thf( s0 )),bind(D,$thf( s1 )),bind(E,$thf( s1 )),bind(F,$thf( s0 )),bind(G,$thf( s1 )),bind(H,$thf( s1 )),bind(I,$thf( s1 ))]]) ).
thf(26603,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[26576,25]) ).
thf(26604,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[26603]) ).
thf(26605,plain,
s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[26604:[bind(A,$thf( s1 )),bind(B,$thf( s0 )),bind(C,$thf( s0 )),bind(D,$thf( s1 )),bind(E,$thf( s1 ))]]) ).
thf(26653,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[26605,17]) ).
thf(26654,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[26653]) ).
thf(26655,plain,
s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[26654:[bind(A,$thf( s1 )),bind(B,$thf( s0 )),bind(C,$thf( s0 )),bind(D,$thf( s1 )),bind(E,$thf( s1 )),bind(F,$thf( s1 )),bind(G,$thf( s0 )),bind(H,$thf( s0 )),bind(I,$thf( s0 ))]]) ).
thf(26700,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[26655,19]) ).
thf(26701,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[26700]) ).
thf(26702,plain,
s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[26701:[bind(A,$thf( s1 )),bind(B,$thf( s0 )),bind(C,$thf( s0 )),bind(D,$thf( s1 )),bind(E,$thf( s1 )),bind(F,$thf( s1 )),bind(G,$thf( s0 )),bind(H,$thf( s0 ))]]) ).
thf(26731,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[26702,17]) ).
thf(26732,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[26731]) ).
thf(26733,plain,
s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[26732:[bind(A,$thf( s1 )),bind(B,$thf( s0 )),bind(C,$thf( s0 )),bind(D,$thf( s1 )),bind(E,$thf( s1 )),bind(F,$thf( s1 )),bind(G,$thf( s0 )),bind(H,$thf( s0 )),bind(I,$thf( s1 ))]]) ).
thf(26768,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s0 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s1 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[26733,21]) ).
thf(26769,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s0 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s1 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[26768]) ).
thf(26770,plain,
s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[26769:[bind(A,$thf( s1 )),bind(B,$thf( s0 )),bind(C,$thf( s0 )),bind(D,$thf( s1 )),bind(E,$thf( s1 )),bind(F,$thf( s1 )),bind(G,$thf( s0 ))]]) ).
thf(26811,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[26770,17]) ).
thf(26812,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[26811]) ).
thf(26813,plain,
s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[26812:[bind(A,$thf( s1 )),bind(B,$thf( s0 )),bind(C,$thf( s0 )),bind(D,$thf( s1 )),bind(E,$thf( s1 )),bind(F,$thf( s1 )),bind(G,$thf( s0 )),bind(H,$thf( s1 )),bind(I,$thf( s0 ))]]) ).
thf(26858,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[26813,19]) ).
thf(26859,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[26858]) ).
thf(26860,plain,
s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[26859:[bind(A,$thf( s1 )),bind(B,$thf( s0 )),bind(C,$thf( s0 )),bind(D,$thf( s1 )),bind(E,$thf( s1 )),bind(F,$thf( s1 )),bind(G,$thf( s0 )),bind(H,$thf( s1 ))]]) ).
thf(26889,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[26860,17]) ).
thf(26890,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[26889]) ).
thf(26891,plain,
s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[26890:[bind(A,$thf( s1 )),bind(B,$thf( s0 )),bind(C,$thf( s0 )),bind(D,$thf( s1 )),bind(E,$thf( s1 )),bind(F,$thf( s1 )),bind(G,$thf( s0 )),bind(H,$thf( s1 )),bind(I,$thf( s1 ))]]) ).
thf(26935,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[26891,23]) ).
thf(26936,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[26935]) ).
thf(26937,plain,
s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[26936:[bind(A,$thf( s1 )),bind(B,$thf( s0 )),bind(C,$thf( s0 )),bind(D,$thf( s1 )),bind(E,$thf( s1 )),bind(F,$thf( s1 ))]]) ).
thf(26968,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[26937,17]) ).
thf(26969,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[26968]) ).
thf(26970,plain,
s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[26969:[bind(A,$thf( s1 )),bind(B,$thf( s0 )),bind(C,$thf( s0 )),bind(D,$thf( s1 )),bind(E,$thf( s1 )),bind(F,$thf( s1 )),bind(G,$thf( s1 )),bind(H,$thf( s0 )),bind(I,$thf( s0 ))]]) ).
thf(27015,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[26970,19]) ).
thf(27016,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[27015]) ).
thf(27017,plain,
s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[27016:[bind(A,$thf( s1 )),bind(B,$thf( s0 )),bind(C,$thf( s0 )),bind(D,$thf( s1 )),bind(E,$thf( s1 )),bind(F,$thf( s1 )),bind(G,$thf( s1 )),bind(H,$thf( s0 ))]]) ).
thf(27046,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[27017,17]) ).
thf(27047,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[27046]) ).
thf(27048,plain,
s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[27047:[bind(A,$thf( s1 )),bind(B,$thf( s0 )),bind(C,$thf( s0 )),bind(D,$thf( s1 )),bind(E,$thf( s1 )),bind(F,$thf( s1 )),bind(G,$thf( s1 )),bind(H,$thf( s0 )),bind(I,$thf( s1 ))]]) ).
thf(27085,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s0 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s1 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[27048,21]) ).
thf(27086,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s0 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s1 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[27085]) ).
thf(27087,plain,
s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[27086:[bind(A,$thf( s1 )),bind(B,$thf( s0 )),bind(C,$thf( s0 )),bind(D,$thf( s1 )),bind(E,$thf( s1 )),bind(F,$thf( s1 )),bind(G,$thf( s1 ))]]) ).
thf(27126,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[27087,17]) ).
thf(27127,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[27126]) ).
thf(27128,plain,
s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[27127:[bind(A,$thf( s1 )),bind(B,$thf( s0 )),bind(C,$thf( s0 )),bind(D,$thf( s1 )),bind(E,$thf( s1 )),bind(F,$thf( s1 )),bind(G,$thf( s1 )),bind(H,$thf( s1 )),bind(I,$thf( s0 ))]]) ).
thf(27173,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[27128,19]) ).
thf(27174,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[27173]) ).
thf(27175,plain,
s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[27174:[bind(A,$thf( s1 )),bind(B,$thf( s0 )),bind(C,$thf( s0 )),bind(D,$thf( s1 )),bind(E,$thf( s1 )),bind(F,$thf( s1 )),bind(G,$thf( s1 )),bind(H,$thf( s1 ))]]) ).
thf(27205,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[27175,17]) ).
thf(27206,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[27205]) ).
thf(27207,plain,
s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[27206:[bind(A,$thf( s1 )),bind(B,$thf( s0 )),bind(C,$thf( s0 )),bind(D,$thf( s1 )),bind(E,$thf( s1 )),bind(F,$thf( s1 )),bind(G,$thf( s1 )),bind(H,$thf( s1 )),bind(I,$thf( s1 ))]]) ).
thf(27248,plain,
! [B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[27207,31]) ).
thf(27249,plain,
! [B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[27248]) ).
thf(27250,plain,
s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[27249:[bind(A,$thf( s1 )),bind(B,$thf( s0 ))]]) ).
thf(27283,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[27250,17]) ).
thf(27284,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[27283]) ).
thf(27285,plain,
s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[27284:[bind(A,$thf( s1 )),bind(B,$thf( s0 )),bind(C,$thf( s1 )),bind(D,$thf( s0 )),bind(E,$thf( s0 )),bind(F,$thf( s0 )),bind(G,$thf( s0 )),bind(H,$thf( s0 )),bind(I,$thf( s0 ))]]) ).
thf(27330,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[27285,19]) ).
thf(27331,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[27330]) ).
thf(27332,plain,
s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[27331:[bind(A,$thf( s1 )),bind(B,$thf( s0 )),bind(C,$thf( s1 )),bind(D,$thf( s0 )),bind(E,$thf( s0 )),bind(F,$thf( s0 )),bind(G,$thf( s0 )),bind(H,$thf( s0 ))]]) ).
thf(27363,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[27332,17]) ).
thf(27364,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[27363]) ).
thf(27365,plain,
s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[27364:[bind(A,$thf( s1 )),bind(B,$thf( s0 )),bind(C,$thf( s1 )),bind(D,$thf( s0 )),bind(E,$thf( s0 )),bind(F,$thf( s0 )),bind(G,$thf( s0 )),bind(H,$thf( s0 )),bind(I,$thf( s1 ))]]) ).
thf(27400,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s0 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s1 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[27365,21]) ).
thf(27401,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s0 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s1 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[27400]) ).
thf(27402,plain,
s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[27401:[bind(A,$thf( s1 )),bind(B,$thf( s0 )),bind(C,$thf( s1 )),bind(D,$thf( s0 )),bind(E,$thf( s0 )),bind(F,$thf( s0 )),bind(G,$thf( s0 ))]]) ).
thf(27441,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[27402,17]) ).
thf(27442,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[27441]) ).
thf(27443,plain,
s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[27442:[bind(A,$thf( s1 )),bind(B,$thf( s0 )),bind(C,$thf( s1 )),bind(D,$thf( s0 )),bind(E,$thf( s0 )),bind(F,$thf( s0 )),bind(G,$thf( s0 )),bind(H,$thf( s1 )),bind(I,$thf( s0 ))]]) ).
thf(27489,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[27443,19]) ).
thf(27490,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[27489]) ).
thf(27491,plain,
s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[27490:[bind(A,$thf( s1 )),bind(B,$thf( s0 )),bind(C,$thf( s1 )),bind(D,$thf( s0 )),bind(E,$thf( s0 )),bind(F,$thf( s0 )),bind(G,$thf( s0 )),bind(H,$thf( s1 ))]]) ).
thf(27520,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[27491,17]) ).
thf(27521,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[27520]) ).
thf(27522,plain,
s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[27521:[bind(A,$thf( s1 )),bind(B,$thf( s0 )),bind(C,$thf( s1 )),bind(D,$thf( s0 )),bind(E,$thf( s0 )),bind(F,$thf( s0 )),bind(G,$thf( s0 )),bind(H,$thf( s1 )),bind(I,$thf( s1 ))]]) ).
thf(27565,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[27522,23]) ).
thf(27566,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[27565]) ).
thf(27567,plain,
s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[27566:[bind(A,$thf( s1 )),bind(B,$thf( s0 )),bind(C,$thf( s1 )),bind(D,$thf( s0 )),bind(E,$thf( s0 )),bind(F,$thf( s0 ))]]) ).
thf(27598,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[27567,17]) ).
thf(27599,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[27598]) ).
thf(27600,plain,
s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[27599:[bind(A,$thf( s1 )),bind(B,$thf( s0 )),bind(C,$thf( s1 )),bind(D,$thf( s0 )),bind(E,$thf( s0 )),bind(F,$thf( s0 )),bind(G,$thf( s1 )),bind(H,$thf( s0 )),bind(I,$thf( s0 ))]]) ).
thf(27647,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[27600,19]) ).
thf(27648,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[27647]) ).
thf(27649,plain,
s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[27648:[bind(A,$thf( s1 )),bind(B,$thf( s0 )),bind(C,$thf( s1 )),bind(D,$thf( s0 )),bind(E,$thf( s0 )),bind(F,$thf( s0 )),bind(G,$thf( s1 )),bind(H,$thf( s0 ))]]) ).
thf(27678,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[27649,17]) ).
thf(27679,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[27678]) ).
thf(27680,plain,
s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[27679:[bind(A,$thf( s1 )),bind(B,$thf( s0 )),bind(C,$thf( s1 )),bind(D,$thf( s0 )),bind(E,$thf( s0 )),bind(F,$thf( s0 )),bind(G,$thf( s1 )),bind(H,$thf( s0 )),bind(I,$thf( s1 ))]]) ).
thf(27715,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s0 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s1 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[27680,21]) ).
thf(27716,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s0 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s1 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[27715]) ).
thf(27717,plain,
s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[27716:[bind(A,$thf( s1 )),bind(B,$thf( s0 )),bind(C,$thf( s1 )),bind(D,$thf( s0 )),bind(E,$thf( s0 )),bind(F,$thf( s0 )),bind(G,$thf( s1 ))]]) ).
thf(27757,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[27717,17]) ).
thf(27758,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[27757]) ).
thf(27759,plain,
s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[27758:[bind(A,$thf( s1 )),bind(B,$thf( s0 )),bind(C,$thf( s1 )),bind(D,$thf( s0 )),bind(E,$thf( s0 )),bind(F,$thf( s0 )),bind(G,$thf( s1 )),bind(H,$thf( s1 )),bind(I,$thf( s0 ))]]) ).
thf(27804,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[27759,19]) ).
thf(27805,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[27804]) ).
thf(27806,plain,
s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[27805:[bind(A,$thf( s1 )),bind(B,$thf( s0 )),bind(C,$thf( s1 )),bind(D,$thf( s0 )),bind(E,$thf( s0 )),bind(F,$thf( s0 )),bind(G,$thf( s1 )),bind(H,$thf( s1 ))]]) ).
thf(27835,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[27806,17]) ).
thf(27836,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[27835]) ).
thf(27837,plain,
s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[27836:[bind(A,$thf( s1 )),bind(B,$thf( s0 )),bind(C,$thf( s1 )),bind(D,$thf( s0 )),bind(E,$thf( s0 )),bind(F,$thf( s0 )),bind(G,$thf( s1 )),bind(H,$thf( s1 )),bind(I,$thf( s1 ))]]) ).
thf(27864,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[27837,25]) ).
thf(27865,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[27864]) ).
thf(27866,plain,
s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[27865:[bind(A,$thf( s1 )),bind(B,$thf( s0 )),bind(C,$thf( s1 )),bind(D,$thf( s0 )),bind(E,$thf( s0 ))]]) ).
thf(27915,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[27866,17]) ).
thf(27916,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[27915]) ).
thf(27917,plain,
s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[27916:[bind(A,$thf( s1 )),bind(B,$thf( s0 )),bind(C,$thf( s1 )),bind(D,$thf( s0 )),bind(E,$thf( s0 )),bind(F,$thf( s1 )),bind(G,$thf( s0 )),bind(H,$thf( s0 )),bind(I,$thf( s0 ))]]) ).
thf(27962,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[27917,19]) ).
thf(27963,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[27962]) ).
thf(27964,plain,
s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[27963:[bind(A,$thf( s1 )),bind(B,$thf( s0 )),bind(C,$thf( s1 )),bind(D,$thf( s0 )),bind(E,$thf( s0 )),bind(F,$thf( s1 )),bind(G,$thf( s0 )),bind(H,$thf( s0 ))]]) ).
thf(27993,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[27964,17]) ).
thf(27994,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[27993]) ).
thf(27995,plain,
s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[27994:[bind(A,$thf( s1 )),bind(B,$thf( s0 )),bind(C,$thf( s1 )),bind(D,$thf( s0 )),bind(E,$thf( s0 )),bind(F,$thf( s1 )),bind(G,$thf( s0 )),bind(H,$thf( s0 )),bind(I,$thf( s1 ))]]) ).
thf(28031,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s0 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s1 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[27995,21]) ).
thf(28032,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s0 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s1 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[28031]) ).
thf(28033,plain,
s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[28032:[bind(A,$thf( s1 )),bind(B,$thf( s0 )),bind(C,$thf( s1 )),bind(D,$thf( s0 )),bind(E,$thf( s0 )),bind(F,$thf( s1 )),bind(G,$thf( s0 ))]]) ).
thf(28072,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[28033,17]) ).
thf(28073,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[28072]) ).
thf(28074,plain,
s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[28073:[bind(A,$thf( s1 )),bind(B,$thf( s0 )),bind(C,$thf( s1 )),bind(D,$thf( s0 )),bind(E,$thf( s0 )),bind(F,$thf( s1 )),bind(G,$thf( s0 )),bind(H,$thf( s1 )),bind(I,$thf( s0 ))]]) ).
thf(28119,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[28074,19]) ).
thf(28120,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[28119]) ).
thf(28121,plain,
s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[28120:[bind(A,$thf( s1 )),bind(B,$thf( s0 )),bind(C,$thf( s1 )),bind(D,$thf( s0 )),bind(E,$thf( s0 )),bind(F,$thf( s1 )),bind(G,$thf( s0 )),bind(H,$thf( s1 ))]]) ).
thf(28150,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[28121,17]) ).
thf(28151,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[28150]) ).
thf(28152,plain,
s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[28151:[bind(A,$thf( s1 )),bind(B,$thf( s0 )),bind(C,$thf( s1 )),bind(D,$thf( s0 )),bind(E,$thf( s0 )),bind(F,$thf( s1 )),bind(G,$thf( s0 )),bind(H,$thf( s1 )),bind(I,$thf( s1 ))]]) ).
thf(28197,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[28152,23]) ).
thf(28198,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[28197]) ).
thf(28199,plain,
s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[28198:[bind(A,$thf( s1 )),bind(B,$thf( s0 )),bind(C,$thf( s1 )),bind(D,$thf( s0 )),bind(E,$thf( s0 )),bind(F,$thf( s1 ))]]) ).
thf(28230,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[28199,17]) ).
thf(28231,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[28230]) ).
thf(28232,plain,
s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[28231:[bind(A,$thf( s1 )),bind(B,$thf( s0 )),bind(C,$thf( s1 )),bind(D,$thf( s0 )),bind(E,$thf( s0 )),bind(F,$thf( s1 )),bind(G,$thf( s1 )),bind(H,$thf( s0 )),bind(I,$thf( s0 ))]]) ).
thf(28277,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[28232,19]) ).
thf(28278,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[28277]) ).
thf(28279,plain,
s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[28278:[bind(A,$thf( s1 )),bind(B,$thf( s0 )),bind(C,$thf( s1 )),bind(D,$thf( s0 )),bind(E,$thf( s0 )),bind(F,$thf( s1 )),bind(G,$thf( s1 )),bind(H,$thf( s0 ))]]) ).
thf(28309,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[28279,17]) ).
thf(28310,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[28309]) ).
thf(28311,plain,
s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[28310:[bind(A,$thf( s1 )),bind(B,$thf( s0 )),bind(C,$thf( s1 )),bind(D,$thf( s0 )),bind(E,$thf( s0 )),bind(F,$thf( s1 )),bind(G,$thf( s1 )),bind(H,$thf( s0 )),bind(I,$thf( s1 ))]]) ).
thf(28346,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s0 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s1 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[28311,21]) ).
thf(28347,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s0 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s1 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[28346]) ).
thf(28348,plain,
s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[28347:[bind(A,$thf( s1 )),bind(B,$thf( s0 )),bind(C,$thf( s1 )),bind(D,$thf( s0 )),bind(E,$thf( s0 )),bind(F,$thf( s1 )),bind(G,$thf( s1 ))]]) ).
thf(28387,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[28348,17]) ).
thf(28388,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[28387]) ).
thf(28389,plain,
s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[28388:[bind(A,$thf( s1 )),bind(B,$thf( s0 )),bind(C,$thf( s1 )),bind(D,$thf( s0 )),bind(E,$thf( s0 )),bind(F,$thf( s1 )),bind(G,$thf( s1 )),bind(H,$thf( s1 )),bind(I,$thf( s0 ))]]) ).
thf(28434,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[28389,19]) ).
thf(28435,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[28434]) ).
thf(28436,plain,
s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[28435:[bind(A,$thf( s1 )),bind(B,$thf( s0 )),bind(C,$thf( s1 )),bind(D,$thf( s0 )),bind(E,$thf( s0 )),bind(F,$thf( s1 )),bind(G,$thf( s1 )),bind(H,$thf( s1 ))]]) ).
thf(28467,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[28436,17]) ).
thf(28468,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[28467]) ).
thf(28469,plain,
s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[28468:[bind(A,$thf( s1 )),bind(B,$thf( s0 )),bind(C,$thf( s1 )),bind(D,$thf( s0 )),bind(E,$thf( s0 )),bind(F,$thf( s1 )),bind(G,$thf( s1 )),bind(H,$thf( s1 )),bind(I,$thf( s1 ))]]) ).
thf(28508,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[28469,27]) ).
thf(28509,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[28508]) ).
thf(28510,plain,
s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[28509:[bind(A,$thf( s1 )),bind(B,$thf( s0 )),bind(C,$thf( s1 )),bind(D,$thf( s0 ))]]) ).
thf(28545,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[28510,17]) ).
thf(28546,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[28545]) ).
thf(28547,plain,
s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[28546:[bind(A,$thf( s1 )),bind(B,$thf( s0 )),bind(C,$thf( s1 )),bind(D,$thf( s0 )),bind(E,$thf( s1 )),bind(F,$thf( s0 )),bind(G,$thf( s0 )),bind(H,$thf( s0 )),bind(I,$thf( s0 ))]]) ).
thf(28593,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[28547,19]) ).
thf(28594,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[28593]) ).
thf(28595,plain,
s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[28594:[bind(A,$thf( s1 )),bind(B,$thf( s0 )),bind(C,$thf( s1 )),bind(D,$thf( s0 )),bind(E,$thf( s1 )),bind(F,$thf( s0 )),bind(G,$thf( s0 )),bind(H,$thf( s0 ))]]) ).
thf(28624,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[28595,17]) ).
thf(28625,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[28624]) ).
thf(28626,plain,
s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[28625:[bind(A,$thf( s1 )),bind(B,$thf( s0 )),bind(C,$thf( s1 )),bind(D,$thf( s0 )),bind(E,$thf( s1 )),bind(F,$thf( s0 )),bind(G,$thf( s0 )),bind(H,$thf( s0 )),bind(I,$thf( s1 ))]]) ).
thf(28661,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s0 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s1 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[28626,21]) ).
thf(28662,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s0 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s1 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[28661]) ).
thf(28663,plain,
s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[28662:[bind(A,$thf( s1 )),bind(B,$thf( s0 )),bind(C,$thf( s1 )),bind(D,$thf( s0 )),bind(E,$thf( s1 )),bind(F,$thf( s0 )),bind(G,$thf( s0 ))]]) ).
thf(28702,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[28663,17]) ).
thf(28703,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[28702]) ).
thf(28704,plain,
s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[28703:[bind(A,$thf( s1 )),bind(B,$thf( s0 )),bind(C,$thf( s1 )),bind(D,$thf( s0 )),bind(E,$thf( s1 )),bind(F,$thf( s0 )),bind(G,$thf( s0 )),bind(H,$thf( s1 )),bind(I,$thf( s0 ))]]) ).
thf(28751,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[28704,19]) ).
thf(28752,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[28751]) ).
thf(28753,plain,
s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[28752:[bind(A,$thf( s1 )),bind(B,$thf( s0 )),bind(C,$thf( s1 )),bind(D,$thf( s0 )),bind(E,$thf( s1 )),bind(F,$thf( s0 )),bind(G,$thf( s0 )),bind(H,$thf( s1 ))]]) ).
thf(28782,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[28753,17]) ).
thf(28783,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[28782]) ).
thf(28784,plain,
s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[28783:[bind(A,$thf( s1 )),bind(B,$thf( s0 )),bind(C,$thf( s1 )),bind(D,$thf( s0 )),bind(E,$thf( s1 )),bind(F,$thf( s0 )),bind(G,$thf( s0 )),bind(H,$thf( s1 )),bind(I,$thf( s1 ))]]) ).
thf(28827,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[28784,23]) ).
thf(28828,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[28827]) ).
thf(28829,plain,
s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[28828:[bind(A,$thf( s1 )),bind(B,$thf( s0 )),bind(C,$thf( s1 )),bind(D,$thf( s0 )),bind(E,$thf( s1 )),bind(F,$thf( s0 ))]]) ).
thf(28861,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[28829,17]) ).
thf(28862,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[28861]) ).
thf(28863,plain,
s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[28862:[bind(A,$thf( s1 )),bind(B,$thf( s0 )),bind(C,$thf( s1 )),bind(D,$thf( s0 )),bind(E,$thf( s1 )),bind(F,$thf( s0 )),bind(G,$thf( s1 )),bind(H,$thf( s0 )),bind(I,$thf( s0 ))]]) ).
thf(28908,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[28863,19]) ).
thf(28909,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[28908]) ).
thf(28910,plain,
s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[28909:[bind(A,$thf( s1 )),bind(B,$thf( s0 )),bind(C,$thf( s1 )),bind(D,$thf( s0 )),bind(E,$thf( s1 )),bind(F,$thf( s0 )),bind(G,$thf( s1 )),bind(H,$thf( s0 ))]]) ).
thf(28939,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[28910,17]) ).
thf(28940,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[28939]) ).
thf(28941,plain,
s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[28940:[bind(A,$thf( s1 )),bind(B,$thf( s0 )),bind(C,$thf( s1 )),bind(D,$thf( s0 )),bind(E,$thf( s1 )),bind(F,$thf( s0 )),bind(G,$thf( s1 )),bind(H,$thf( s0 )),bind(I,$thf( s1 ))]]) ).
thf(28976,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s0 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s1 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[28941,21]) ).
thf(28977,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s0 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s1 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[28976]) ).
thf(28978,plain,
s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[28977:[bind(A,$thf( s1 )),bind(B,$thf( s0 )),bind(C,$thf( s1 )),bind(D,$thf( s0 )),bind(E,$thf( s1 )),bind(F,$thf( s0 )),bind(G,$thf( s1 ))]]) ).
thf(29019,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[28978,17]) ).
thf(29020,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[29019]) ).
thf(29021,plain,
s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[29020:[bind(A,$thf( s1 )),bind(B,$thf( s0 )),bind(C,$thf( s1 )),bind(D,$thf( s0 )),bind(E,$thf( s1 )),bind(F,$thf( s0 )),bind(G,$thf( s1 )),bind(H,$thf( s1 )),bind(I,$thf( s0 ))]]) ).
thf(29066,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[29021,19]) ).
thf(29067,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[29066]) ).
thf(29068,plain,
s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[29067:[bind(A,$thf( s1 )),bind(B,$thf( s0 )),bind(C,$thf( s1 )),bind(D,$thf( s0 )),bind(E,$thf( s1 )),bind(F,$thf( s0 )),bind(G,$thf( s1 )),bind(H,$thf( s1 ))]]) ).
thf(29097,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[29068,17]) ).
thf(29098,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[29097]) ).
thf(29099,plain,
s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[29098:[bind(A,$thf( s1 )),bind(B,$thf( s0 )),bind(C,$thf( s1 )),bind(D,$thf( s0 )),bind(E,$thf( s1 )),bind(F,$thf( s0 )),bind(G,$thf( s1 )),bind(H,$thf( s1 )),bind(I,$thf( s1 ))]]) ).
thf(29127,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[29099,25]) ).
thf(29128,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[29127]) ).
thf(29129,plain,
s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[29128:[bind(A,$thf( s1 )),bind(B,$thf( s0 )),bind(C,$thf( s1 )),bind(D,$thf( s0 )),bind(E,$thf( s1 ))]]) ).
thf(29176,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[29129,17]) ).
thf(29177,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[29176]) ).
thf(29178,plain,
s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[29177:[bind(A,$thf( s1 )),bind(B,$thf( s0 )),bind(C,$thf( s1 )),bind(D,$thf( s0 )),bind(E,$thf( s1 )),bind(F,$thf( s1 )),bind(G,$thf( s0 )),bind(H,$thf( s0 )),bind(I,$thf( s0 ))]]) ).
thf(29223,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[29178,19]) ).
thf(29224,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[29223]) ).
thf(29225,plain,
s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[29224:[bind(A,$thf( s1 )),bind(B,$thf( s0 )),bind(C,$thf( s1 )),bind(D,$thf( s0 )),bind(E,$thf( s1 )),bind(F,$thf( s1 )),bind(G,$thf( s0 )),bind(H,$thf( s0 ))]]) ).
thf(29254,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[29225,17]) ).
thf(29255,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[29254]) ).
thf(29256,plain,
s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[29255:[bind(A,$thf( s1 )),bind(B,$thf( s0 )),bind(C,$thf( s1 )),bind(D,$thf( s0 )),bind(E,$thf( s1 )),bind(F,$thf( s1 )),bind(G,$thf( s0 )),bind(H,$thf( s0 )),bind(I,$thf( s1 ))]]) ).
thf(29293,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s0 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s1 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[29256,21]) ).
thf(29294,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s0 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s1 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[29293]) ).
thf(29295,plain,
s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[29294:[bind(A,$thf( s1 )),bind(B,$thf( s0 )),bind(C,$thf( s1 )),bind(D,$thf( s0 )),bind(E,$thf( s1 )),bind(F,$thf( s1 )),bind(G,$thf( s0 ))]]) ).
thf(29334,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[29295,17]) ).
thf(29335,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[29334]) ).
thf(29336,plain,
s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[29335:[bind(A,$thf( s1 )),bind(B,$thf( s0 )),bind(C,$thf( s1 )),bind(D,$thf( s0 )),bind(E,$thf( s1 )),bind(F,$thf( s1 )),bind(G,$thf( s0 )),bind(H,$thf( s1 )),bind(I,$thf( s0 ))]]) ).
thf(29381,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[29336,19]) ).
thf(29382,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[29381]) ).
thf(29383,plain,
s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[29382:[bind(A,$thf( s1 )),bind(B,$thf( s0 )),bind(C,$thf( s1 )),bind(D,$thf( s0 )),bind(E,$thf( s1 )),bind(F,$thf( s1 )),bind(G,$thf( s0 )),bind(H,$thf( s1 ))]]) ).
thf(29413,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[29383,17]) ).
thf(29414,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[29413]) ).
thf(29415,plain,
s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[29414:[bind(A,$thf( s1 )),bind(B,$thf( s0 )),bind(C,$thf( s1 )),bind(D,$thf( s0 )),bind(E,$thf( s1 )),bind(F,$thf( s1 )),bind(G,$thf( s0 )),bind(H,$thf( s1 )),bind(I,$thf( s1 ))]]) ).
thf(29458,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[29415,23]) ).
thf(29459,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[29458]) ).
thf(29460,plain,
s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[29459:[bind(A,$thf( s1 )),bind(B,$thf( s0 )),bind(C,$thf( s1 )),bind(D,$thf( s0 )),bind(E,$thf( s1 )),bind(F,$thf( s1 ))]]) ).
thf(29491,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[29460,17]) ).
thf(29492,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[29491]) ).
thf(29493,plain,
s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[29492:[bind(A,$thf( s1 )),bind(B,$thf( s0 )),bind(C,$thf( s1 )),bind(D,$thf( s0 )),bind(E,$thf( s1 )),bind(F,$thf( s1 )),bind(G,$thf( s1 )),bind(H,$thf( s0 )),bind(I,$thf( s0 ))]]) ).
thf(29538,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[29493,19]) ).
thf(29539,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[29538]) ).
thf(29540,plain,
s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[29539:[bind(A,$thf( s1 )),bind(B,$thf( s0 )),bind(C,$thf( s1 )),bind(D,$thf( s0 )),bind(E,$thf( s1 )),bind(F,$thf( s1 )),bind(G,$thf( s1 )),bind(H,$thf( s0 ))]]) ).
thf(29571,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[29540,17]) ).
thf(29572,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[29571]) ).
thf(29573,plain,
s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[29572:[bind(A,$thf( s1 )),bind(B,$thf( s0 )),bind(C,$thf( s1 )),bind(D,$thf( s0 )),bind(E,$thf( s1 )),bind(F,$thf( s1 )),bind(G,$thf( s1 )),bind(H,$thf( s0 )),bind(I,$thf( s1 ))]]) ).
thf(29608,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s0 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s1 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[29573,21]) ).
thf(29609,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s0 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s1 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[29608]) ).
thf(29610,plain,
s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[29609:[bind(A,$thf( s1 )),bind(B,$thf( s0 )),bind(C,$thf( s1 )),bind(D,$thf( s0 )),bind(E,$thf( s1 )),bind(F,$thf( s1 )),bind(G,$thf( s1 ))]]) ).
thf(29649,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[29610,17]) ).
thf(29650,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[29649]) ).
thf(29651,plain,
s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[29650:[bind(A,$thf( s1 )),bind(B,$thf( s0 )),bind(C,$thf( s1 )),bind(D,$thf( s0 )),bind(E,$thf( s1 )),bind(F,$thf( s1 )),bind(G,$thf( s1 )),bind(H,$thf( s1 )),bind(I,$thf( s0 ))]]) ).
thf(29697,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[29651,19]) ).
thf(29698,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[29697]) ).
thf(29699,plain,
s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[29698:[bind(A,$thf( s1 )),bind(B,$thf( s0 )),bind(C,$thf( s1 )),bind(D,$thf( s0 )),bind(E,$thf( s1 )),bind(F,$thf( s1 )),bind(G,$thf( s1 )),bind(H,$thf( s1 ))]]) ).
thf(29728,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[29699,17]) ).
thf(29729,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[29728]) ).
thf(29730,plain,
s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[29729:[bind(A,$thf( s1 )),bind(B,$thf( s0 )),bind(C,$thf( s1 )),bind(D,$thf( s0 )),bind(E,$thf( s1 )),bind(F,$thf( s1 )),bind(G,$thf( s1 )),bind(H,$thf( s1 )),bind(I,$thf( s1 ))]]) ).
thf(29761,plain,
! [C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[29730,29]) ).
thf(29762,plain,
! [C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[29761]) ).
thf(29763,plain,
s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[29762:[bind(A,$thf( s1 )),bind(B,$thf( s0 )),bind(C,$thf( s1 ))]]) ).
thf(29806,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[29763,17]) ).
thf(29807,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[29806]) ).
thf(29808,plain,
s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[29807:[bind(A,$thf( s1 )),bind(B,$thf( s0 )),bind(C,$thf( s1 )),bind(D,$thf( s1 )),bind(E,$thf( s0 )),bind(F,$thf( s0 )),bind(G,$thf( s0 )),bind(H,$thf( s0 )),bind(I,$thf( s0 ))]]) ).
thf(29855,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[29808,19]) ).
thf(29856,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[29855]) ).
thf(29857,plain,
s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[29856:[bind(A,$thf( s1 )),bind(B,$thf( s0 )),bind(C,$thf( s1 )),bind(D,$thf( s1 )),bind(E,$thf( s0 )),bind(F,$thf( s0 )),bind(G,$thf( s0 )),bind(H,$thf( s0 ))]]) ).
thf(29886,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[29857,17]) ).
thf(29887,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[29886]) ).
thf(29888,plain,
s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[29887:[bind(A,$thf( s1 )),bind(B,$thf( s0 )),bind(C,$thf( s1 )),bind(D,$thf( s1 )),bind(E,$thf( s0 )),bind(F,$thf( s0 )),bind(G,$thf( s0 )),bind(H,$thf( s0 )),bind(I,$thf( s1 ))]]) ).
thf(29923,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s0 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s1 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[29888,21]) ).
thf(29924,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s0 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s1 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[29923]) ).
thf(29925,plain,
s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[29924:[bind(A,$thf( s1 )),bind(B,$thf( s0 )),bind(C,$thf( s1 )),bind(D,$thf( s1 )),bind(E,$thf( s0 )),bind(F,$thf( s0 )),bind(G,$thf( s0 ))]]) ).
thf(29965,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[29925,17]) ).
thf(29966,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[29965]) ).
thf(29967,plain,
s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[29966:[bind(A,$thf( s1 )),bind(B,$thf( s0 )),bind(C,$thf( s1 )),bind(D,$thf( s1 )),bind(E,$thf( s0 )),bind(F,$thf( s0 )),bind(G,$thf( s0 )),bind(H,$thf( s1 )),bind(I,$thf( s0 ))]]) ).
thf(30012,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[29967,19]) ).
thf(30013,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[30012]) ).
thf(30014,plain,
s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[30013:[bind(A,$thf( s1 )),bind(B,$thf( s0 )),bind(C,$thf( s1 )),bind(D,$thf( s1 )),bind(E,$thf( s0 )),bind(F,$thf( s0 )),bind(G,$thf( s0 )),bind(H,$thf( s1 ))]]) ).
thf(30043,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[30014,17]) ).
thf(30044,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[30043]) ).
thf(30045,plain,
s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[30044:[bind(A,$thf( s1 )),bind(B,$thf( s0 )),bind(C,$thf( s1 )),bind(D,$thf( s1 )),bind(E,$thf( s0 )),bind(F,$thf( s0 )),bind(G,$thf( s0 )),bind(H,$thf( s1 )),bind(I,$thf( s1 ))]]) ).
thf(30088,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[30045,23]) ).
thf(30089,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[30088]) ).
thf(30090,plain,
s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[30089:[bind(A,$thf( s1 )),bind(B,$thf( s0 )),bind(C,$thf( s1 )),bind(D,$thf( s1 )),bind(E,$thf( s0 )),bind(F,$thf( s0 ))]]) ).
thf(30123,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[30090,17]) ).
thf(30124,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[30123]) ).
thf(30125,plain,
s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[30124:[bind(A,$thf( s1 )),bind(B,$thf( s0 )),bind(C,$thf( s1 )),bind(D,$thf( s1 )),bind(E,$thf( s0 )),bind(F,$thf( s0 )),bind(G,$thf( s1 )),bind(H,$thf( s0 )),bind(I,$thf( s0 ))]]) ).
thf(30170,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[30125,19]) ).
thf(30171,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[30170]) ).
thf(30172,plain,
s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[30171:[bind(A,$thf( s1 )),bind(B,$thf( s0 )),bind(C,$thf( s1 )),bind(D,$thf( s1 )),bind(E,$thf( s0 )),bind(F,$thf( s0 )),bind(G,$thf( s1 )),bind(H,$thf( s0 ))]]) ).
thf(30201,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[30172,17]) ).
thf(30202,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[30201]) ).
thf(30203,plain,
s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[30202:[bind(A,$thf( s1 )),bind(B,$thf( s0 )),bind(C,$thf( s1 )),bind(D,$thf( s1 )),bind(E,$thf( s0 )),bind(F,$thf( s0 )),bind(G,$thf( s1 )),bind(H,$thf( s0 )),bind(I,$thf( s1 ))]]) ).
thf(30239,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s0 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s1 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[30203,21]) ).
thf(30240,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s0 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s1 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[30239]) ).
thf(30241,plain,
s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[30240:[bind(A,$thf( s1 )),bind(B,$thf( s0 )),bind(C,$thf( s1 )),bind(D,$thf( s1 )),bind(E,$thf( s0 )),bind(F,$thf( s0 )),bind(G,$thf( s1 ))]]) ).
thf(30280,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[30241,17]) ).
thf(30281,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[30280]) ).
thf(30282,plain,
s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[30281:[bind(A,$thf( s1 )),bind(B,$thf( s0 )),bind(C,$thf( s1 )),bind(D,$thf( s1 )),bind(E,$thf( s0 )),bind(F,$thf( s0 )),bind(G,$thf( s1 )),bind(H,$thf( s1 )),bind(I,$thf( s0 ))]]) ).
thf(30327,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[30282,19]) ).
thf(30328,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[30327]) ).
thf(30329,plain,
s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[30328:[bind(A,$thf( s1 )),bind(B,$thf( s0 )),bind(C,$thf( s1 )),bind(D,$thf( s1 )),bind(E,$thf( s0 )),bind(F,$thf( s0 )),bind(G,$thf( s1 )),bind(H,$thf( s1 ))]]) ).
thf(30358,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[30329,17]) ).
thf(30359,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[30358]) ).
thf(30360,plain,
s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[30359:[bind(A,$thf( s1 )),bind(B,$thf( s0 )),bind(C,$thf( s1 )),bind(D,$thf( s1 )),bind(E,$thf( s0 )),bind(F,$thf( s0 )),bind(G,$thf( s1 )),bind(H,$thf( s1 )),bind(I,$thf( s1 ))]]) ).
thf(30389,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[30360,25]) ).
thf(30390,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[30389]) ).
thf(30391,plain,
s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[30390:[bind(A,$thf( s1 )),bind(B,$thf( s0 )),bind(C,$thf( s1 )),bind(D,$thf( s1 )),bind(E,$thf( s0 ))]]) ).
thf(30438,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[30391,17]) ).
thf(30439,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[30438]) ).
thf(30440,plain,
s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[30439:[bind(A,$thf( s1 )),bind(B,$thf( s0 )),bind(C,$thf( s1 )),bind(D,$thf( s1 )),bind(E,$thf( s0 )),bind(F,$thf( s1 )),bind(G,$thf( s0 )),bind(H,$thf( s0 )),bind(I,$thf( s0 ))]]) ).
thf(30485,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[30440,19]) ).
thf(30486,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[30485]) ).
thf(30487,plain,
s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[30486:[bind(A,$thf( s1 )),bind(B,$thf( s0 )),bind(C,$thf( s1 )),bind(D,$thf( s1 )),bind(E,$thf( s0 )),bind(F,$thf( s1 )),bind(G,$thf( s0 )),bind(H,$thf( s0 ))]]) ).
thf(30517,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[30487,17]) ).
thf(30518,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[30517]) ).
thf(30519,plain,
s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[30518:[bind(A,$thf( s1 )),bind(B,$thf( s0 )),bind(C,$thf( s1 )),bind(D,$thf( s1 )),bind(E,$thf( s0 )),bind(F,$thf( s1 )),bind(G,$thf( s0 )),bind(H,$thf( s0 )),bind(I,$thf( s1 ))]]) ).
thf(30554,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s0 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s1 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[30519,21]) ).
thf(30555,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s0 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s1 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[30554]) ).
thf(30556,plain,
s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[30555:[bind(A,$thf( s1 )),bind(B,$thf( s0 )),bind(C,$thf( s1 )),bind(D,$thf( s1 )),bind(E,$thf( s0 )),bind(F,$thf( s1 )),bind(G,$thf( s0 ))]]) ).
thf(30595,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[30556,17]) ).
thf(30596,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[30595]) ).
thf(30597,plain,
s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[30596:[bind(A,$thf( s1 )),bind(B,$thf( s0 )),bind(C,$thf( s1 )),bind(D,$thf( s1 )),bind(E,$thf( s0 )),bind(F,$thf( s1 )),bind(G,$thf( s0 )),bind(H,$thf( s1 )),bind(I,$thf( s0 ))]]) ).
thf(30642,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[30597,19]) ).
thf(30643,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[30642]) ).
thf(30644,plain,
s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[30643:[bind(A,$thf( s1 )),bind(B,$thf( s0 )),bind(C,$thf( s1 )),bind(D,$thf( s1 )),bind(E,$thf( s0 )),bind(F,$thf( s1 )),bind(G,$thf( s0 )),bind(H,$thf( s1 ))]]) ).
thf(30675,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[30644,17]) ).
thf(30676,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[30675]) ).
thf(30677,plain,
s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[30676:[bind(A,$thf( s1 )),bind(B,$thf( s0 )),bind(C,$thf( s1 )),bind(D,$thf( s1 )),bind(E,$thf( s0 )),bind(F,$thf( s1 )),bind(G,$thf( s0 )),bind(H,$thf( s1 )),bind(I,$thf( s1 ))]]) ).
thf(30720,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[30677,23]) ).
thf(30721,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[30720]) ).
thf(30722,plain,
s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[30721:[bind(A,$thf( s1 )),bind(B,$thf( s0 )),bind(C,$thf( s1 )),bind(D,$thf( s1 )),bind(E,$thf( s0 )),bind(F,$thf( s1 ))]]) ).
thf(30753,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[30722,17]) ).
thf(30754,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[30753]) ).
thf(30755,plain,
s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[30754:[bind(A,$thf( s1 )),bind(B,$thf( s0 )),bind(C,$thf( s1 )),bind(D,$thf( s1 )),bind(E,$thf( s0 )),bind(F,$thf( s1 )),bind(G,$thf( s1 )),bind(H,$thf( s0 )),bind(I,$thf( s0 ))]]) ).
thf(30801,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[30755,19]) ).
thf(30802,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[30801]) ).
thf(30803,plain,
s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[30802:[bind(A,$thf( s1 )),bind(B,$thf( s0 )),bind(C,$thf( s1 )),bind(D,$thf( s1 )),bind(E,$thf( s0 )),bind(F,$thf( s1 )),bind(G,$thf( s1 )),bind(H,$thf( s0 ))]]) ).
thf(30832,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[30803,17]) ).
thf(30833,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[30832]) ).
thf(30834,plain,
s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[30833:[bind(A,$thf( s1 )),bind(B,$thf( s0 )),bind(C,$thf( s1 )),bind(D,$thf( s1 )),bind(E,$thf( s0 )),bind(F,$thf( s1 )),bind(G,$thf( s1 )),bind(H,$thf( s0 )),bind(I,$thf( s1 ))]]) ).
thf(30869,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s0 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s1 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[30834,21]) ).
thf(30870,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s0 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s1 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[30869]) ).
thf(30871,plain,
s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[30870:[bind(A,$thf( s1 )),bind(B,$thf( s0 )),bind(C,$thf( s1 )),bind(D,$thf( s1 )),bind(E,$thf( s0 )),bind(F,$thf( s1 )),bind(G,$thf( s1 ))]]) ).
thf(30910,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[30871,17]) ).
thf(30911,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[30910]) ).
thf(30912,plain,
s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[30911:[bind(A,$thf( s1 )),bind(B,$thf( s0 )),bind(C,$thf( s1 )),bind(D,$thf( s1 )),bind(E,$thf( s0 )),bind(F,$thf( s1 )),bind(G,$thf( s1 )),bind(H,$thf( s1 )),bind(I,$thf( s0 ))]]) ).
thf(30959,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[30912,19]) ).
thf(30960,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[30959]) ).
thf(30961,plain,
s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[30960:[bind(A,$thf( s1 )),bind(B,$thf( s0 )),bind(C,$thf( s1 )),bind(D,$thf( s1 )),bind(E,$thf( s0 )),bind(F,$thf( s1 )),bind(G,$thf( s1 )),bind(H,$thf( s1 ))]]) ).
thf(30990,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[30961,17]) ).
thf(30991,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[30990]) ).
thf(30992,plain,
s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[30991:[bind(A,$thf( s1 )),bind(B,$thf( s0 )),bind(C,$thf( s1 )),bind(D,$thf( s1 )),bind(E,$thf( s0 )),bind(F,$thf( s1 )),bind(G,$thf( s1 )),bind(H,$thf( s1 )),bind(I,$thf( s1 ))]]) ).
thf(31031,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[30992,27]) ).
thf(31032,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[31031]) ).
thf(31033,plain,
s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[31032:[bind(A,$thf( s1 )),bind(B,$thf( s0 )),bind(C,$thf( s1 )),bind(D,$thf( s1 ))]]) ).
thf(31069,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[31033,17]) ).
thf(31070,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[31069]) ).
thf(31071,plain,
s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[31070:[bind(A,$thf( s1 )),bind(B,$thf( s0 )),bind(C,$thf( s1 )),bind(D,$thf( s1 )),bind(E,$thf( s1 )),bind(F,$thf( s0 )),bind(G,$thf( s0 )),bind(H,$thf( s0 )),bind(I,$thf( s0 ))]]) ).
thf(31116,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[31071,19]) ).
thf(31117,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[31116]) ).
thf(31118,plain,
s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[31117:[bind(A,$thf( s1 )),bind(B,$thf( s0 )),bind(C,$thf( s1 )),bind(D,$thf( s1 )),bind(E,$thf( s1 )),bind(F,$thf( s0 )),bind(G,$thf( s0 )),bind(H,$thf( s0 ))]]) ).
thf(31147,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[31118,17]) ).
thf(31148,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[31147]) ).
thf(31149,plain,
s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[31148:[bind(A,$thf( s1 )),bind(B,$thf( s0 )),bind(C,$thf( s1 )),bind(D,$thf( s1 )),bind(E,$thf( s1 )),bind(F,$thf( s0 )),bind(G,$thf( s0 )),bind(H,$thf( s0 )),bind(I,$thf( s1 ))]]) ).
thf(31184,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s0 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s1 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[31149,21]) ).
thf(31185,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s0 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s1 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[31184]) ).
thf(31186,plain,
s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[31185:[bind(A,$thf( s1 )),bind(B,$thf( s0 )),bind(C,$thf( s1 )),bind(D,$thf( s1 )),bind(E,$thf( s1 )),bind(F,$thf( s0 )),bind(G,$thf( s0 ))]]) ).
thf(31227,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[31186,17]) ).
thf(31228,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[31227]) ).
thf(31229,plain,
s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[31228:[bind(A,$thf( s1 )),bind(B,$thf( s0 )),bind(C,$thf( s1 )),bind(D,$thf( s1 )),bind(E,$thf( s1 )),bind(F,$thf( s0 )),bind(G,$thf( s0 )),bind(H,$thf( s1 )),bind(I,$thf( s0 ))]]) ).
thf(31274,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[31229,19]) ).
thf(31275,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[31274]) ).
thf(31276,plain,
s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[31275:[bind(A,$thf( s1 )),bind(B,$thf( s0 )),bind(C,$thf( s1 )),bind(D,$thf( s1 )),bind(E,$thf( s1 )),bind(F,$thf( s0 )),bind(G,$thf( s0 )),bind(H,$thf( s1 ))]]) ).
thf(31305,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[31276,17]) ).
thf(31306,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[31305]) ).
thf(31307,plain,
s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[31306:[bind(A,$thf( s1 )),bind(B,$thf( s0 )),bind(C,$thf( s1 )),bind(D,$thf( s1 )),bind(E,$thf( s1 )),bind(F,$thf( s0 )),bind(G,$thf( s0 )),bind(H,$thf( s1 )),bind(I,$thf( s1 ))]]) ).
thf(31351,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[31307,23]) ).
thf(31352,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[31351]) ).
thf(31353,plain,
s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[31352:[bind(A,$thf( s1 )),bind(B,$thf( s0 )),bind(C,$thf( s1 )),bind(D,$thf( s1 )),bind(E,$thf( s1 )),bind(F,$thf( s0 ))]]) ).
thf(31384,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[31353,17]) ).
thf(31385,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[31384]) ).
thf(31386,plain,
s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[31385:[bind(A,$thf( s1 )),bind(B,$thf( s0 )),bind(C,$thf( s1 )),bind(D,$thf( s1 )),bind(E,$thf( s1 )),bind(F,$thf( s0 )),bind(G,$thf( s1 )),bind(H,$thf( s0 )),bind(I,$thf( s0 ))]]) ).
thf(31431,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[31386,19]) ).
thf(31432,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[31431]) ).
thf(31433,plain,
s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[31432:[bind(A,$thf( s1 )),bind(B,$thf( s0 )),bind(C,$thf( s1 )),bind(D,$thf( s1 )),bind(E,$thf( s1 )),bind(F,$thf( s0 )),bind(G,$thf( s1 )),bind(H,$thf( s0 ))]]) ).
thf(31462,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[31433,17]) ).
thf(31463,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[31462]) ).
thf(31464,plain,
s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[31463:[bind(A,$thf( s1 )),bind(B,$thf( s0 )),bind(C,$thf( s1 )),bind(D,$thf( s1 )),bind(E,$thf( s1 )),bind(F,$thf( s0 )),bind(G,$thf( s1 )),bind(H,$thf( s0 )),bind(I,$thf( s1 ))]]) ).
thf(31501,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s0 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s1 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[31464,21]) ).
thf(31502,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s0 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s1 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[31501]) ).
thf(31503,plain,
s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[31502:[bind(A,$thf( s1 )),bind(B,$thf( s0 )),bind(C,$thf( s1 )),bind(D,$thf( s1 )),bind(E,$thf( s1 )),bind(F,$thf( s0 )),bind(G,$thf( s1 ))]]) ).
thf(31542,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[31503,17]) ).
thf(31543,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[31542]) ).
thf(31544,plain,
s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[31543:[bind(A,$thf( s1 )),bind(B,$thf( s0 )),bind(C,$thf( s1 )),bind(D,$thf( s1 )),bind(E,$thf( s1 )),bind(F,$thf( s0 )),bind(G,$thf( s1 )),bind(H,$thf( s1 )),bind(I,$thf( s0 ))]]) ).
thf(31589,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[31544,19]) ).
thf(31590,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[31589]) ).
thf(31591,plain,
s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[31590:[bind(A,$thf( s1 )),bind(B,$thf( s0 )),bind(C,$thf( s1 )),bind(D,$thf( s1 )),bind(E,$thf( s1 )),bind(F,$thf( s0 )),bind(G,$thf( s1 )),bind(H,$thf( s1 ))]]) ).
thf(31621,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[31591,17]) ).
thf(31622,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[31621]) ).
thf(31623,plain,
s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[31622:[bind(A,$thf( s1 )),bind(B,$thf( s0 )),bind(C,$thf( s1 )),bind(D,$thf( s1 )),bind(E,$thf( s1 )),bind(F,$thf( s0 )),bind(G,$thf( s1 )),bind(H,$thf( s1 )),bind(I,$thf( s1 ))]]) ).
thf(31650,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[31623,25]) ).
thf(31651,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[31650]) ).
thf(31652,plain,
s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[31651:[bind(A,$thf( s1 )),bind(B,$thf( s0 )),bind(C,$thf( s1 )),bind(D,$thf( s1 )),bind(E,$thf( s1 ))]]) ).
thf(31699,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[31652,17]) ).
thf(31700,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[31699]) ).
thf(31701,plain,
s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[31700:[bind(A,$thf( s1 )),bind(B,$thf( s0 )),bind(C,$thf( s1 )),bind(D,$thf( s1 )),bind(E,$thf( s1 )),bind(F,$thf( s1 )),bind(G,$thf( s0 )),bind(H,$thf( s0 )),bind(I,$thf( s0 ))]]) ).
thf(31746,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[31701,19]) ).
thf(31747,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[31746]) ).
thf(31748,plain,
s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[31747:[bind(A,$thf( s1 )),bind(B,$thf( s0 )),bind(C,$thf( s1 )),bind(D,$thf( s1 )),bind(E,$thf( s1 )),bind(F,$thf( s1 )),bind(G,$thf( s0 )),bind(H,$thf( s0 ))]]) ).
thf(31779,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[31748,17]) ).
thf(31780,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[31779]) ).
thf(31781,plain,
s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[31780:[bind(A,$thf( s1 )),bind(B,$thf( s0 )),bind(C,$thf( s1 )),bind(D,$thf( s1 )),bind(E,$thf( s1 )),bind(F,$thf( s1 )),bind(G,$thf( s0 )),bind(H,$thf( s0 )),bind(I,$thf( s1 ))]]) ).
thf(31816,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s0 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s1 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[31781,21]) ).
thf(31817,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s0 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s1 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[31816]) ).
thf(31818,plain,
s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[31817:[bind(A,$thf( s1 )),bind(B,$thf( s0 )),bind(C,$thf( s1 )),bind(D,$thf( s1 )),bind(E,$thf( s1 )),bind(F,$thf( s1 )),bind(G,$thf( s0 ))]]) ).
thf(31857,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[31818,17]) ).
thf(31858,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[31857]) ).
thf(31859,plain,
s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[31858:[bind(A,$thf( s1 )),bind(B,$thf( s0 )),bind(C,$thf( s1 )),bind(D,$thf( s1 )),bind(E,$thf( s1 )),bind(F,$thf( s1 )),bind(G,$thf( s0 )),bind(H,$thf( s1 )),bind(I,$thf( s0 ))]]) ).
thf(31905,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[31859,19]) ).
thf(31906,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[31905]) ).
thf(31907,plain,
s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[31906:[bind(A,$thf( s1 )),bind(B,$thf( s0 )),bind(C,$thf( s1 )),bind(D,$thf( s1 )),bind(E,$thf( s1 )),bind(F,$thf( s1 )),bind(G,$thf( s0 )),bind(H,$thf( s1 ))]]) ).
thf(31936,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[31907,17]) ).
thf(31937,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[31936]) ).
thf(31938,plain,
s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[31937:[bind(A,$thf( s1 )),bind(B,$thf( s0 )),bind(C,$thf( s1 )),bind(D,$thf( s1 )),bind(E,$thf( s1 )),bind(F,$thf( s1 )),bind(G,$thf( s0 )),bind(H,$thf( s1 )),bind(I,$thf( s1 ))]]) ).
thf(31981,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[31938,23]) ).
thf(31982,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[31981]) ).
thf(31983,plain,
s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[31982:[bind(A,$thf( s1 )),bind(B,$thf( s0 )),bind(C,$thf( s1 )),bind(D,$thf( s1 )),bind(E,$thf( s1 )),bind(F,$thf( s1 ))]]) ).
thf(32014,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[31983,17]) ).
thf(32015,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[32014]) ).
thf(32016,plain,
s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[32015:[bind(A,$thf( s1 )),bind(B,$thf( s0 )),bind(C,$thf( s1 )),bind(D,$thf( s1 )),bind(E,$thf( s1 )),bind(F,$thf( s1 )),bind(G,$thf( s1 )),bind(H,$thf( s0 )),bind(I,$thf( s0 ))]]) ).
thf(32063,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[32016,19]) ).
thf(32064,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[32063]) ).
thf(32065,plain,
s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[32064:[bind(A,$thf( s1 )),bind(B,$thf( s0 )),bind(C,$thf( s1 )),bind(D,$thf( s1 )),bind(E,$thf( s1 )),bind(F,$thf( s1 )),bind(G,$thf( s1 )),bind(H,$thf( s0 ))]]) ).
thf(32094,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[32065,17]) ).
thf(32095,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[32094]) ).
thf(32096,plain,
s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[32095:[bind(A,$thf( s1 )),bind(B,$thf( s0 )),bind(C,$thf( s1 )),bind(D,$thf( s1 )),bind(E,$thf( s1 )),bind(F,$thf( s1 )),bind(G,$thf( s1 )),bind(H,$thf( s0 )),bind(I,$thf( s1 ))]]) ).
thf(32131,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s0 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s1 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[32096,21]) ).
thf(32132,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s0 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s1 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[32131]) ).
thf(32133,plain,
s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[32132:[bind(A,$thf( s1 )),bind(B,$thf( s0 )),bind(C,$thf( s1 )),bind(D,$thf( s1 )),bind(E,$thf( s1 )),bind(F,$thf( s1 )),bind(G,$thf( s1 ))]]) ).
thf(32173,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[32133,17]) ).
thf(32174,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[32173]) ).
thf(32175,plain,
s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[32174:[bind(A,$thf( s1 )),bind(B,$thf( s0 )),bind(C,$thf( s1 )),bind(D,$thf( s1 )),bind(E,$thf( s1 )),bind(F,$thf( s1 )),bind(G,$thf( s1 )),bind(H,$thf( s1 )),bind(I,$thf( s0 ))]]) ).
thf(32220,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[32175,19]) ).
thf(32221,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[32220]) ).
thf(32222,plain,
s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[32221:[bind(A,$thf( s1 )),bind(B,$thf( s0 )),bind(C,$thf( s1 )),bind(D,$thf( s1 )),bind(E,$thf( s1 )),bind(F,$thf( s1 )),bind(G,$thf( s1 )),bind(H,$thf( s1 ))]]) ).
thf(32251,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[32222,17]) ).
thf(32252,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[32251]) ).
thf(32253,plain,
s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[32252:[bind(A,$thf( s1 )),bind(B,$thf( s0 )),bind(C,$thf( s1 )),bind(D,$thf( s1 )),bind(E,$thf( s1 )),bind(F,$thf( s1 )),bind(G,$thf( s1 )),bind(H,$thf( s1 )),bind(I,$thf( s1 ))]]) ).
thf(32286,plain,
! [A: $i] :
( ( ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[32253,33]) ).
thf(32287,plain,
! [A: $i] :
( ( ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[32286]) ).
thf(32288,plain,
s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[32287:[bind(A,$thf( s1 ))]]) ).
thf(32331,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[32288,17]) ).
thf(32332,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[32331]) ).
thf(32333,plain,
s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[32332:[bind(A,$thf( s1 )),bind(B,$thf( s1 )),bind(C,$thf( s0 )),bind(D,$thf( s0 )),bind(E,$thf( s0 )),bind(F,$thf( s0 )),bind(G,$thf( s0 )),bind(H,$thf( s0 )),bind(I,$thf( s0 ))]]) ).
thf(32378,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[32333,19]) ).
thf(32379,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[32378]) ).
thf(32380,plain,
s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[32379:[bind(A,$thf( s1 )),bind(B,$thf( s1 )),bind(C,$thf( s0 )),bind(D,$thf( s0 )),bind(E,$thf( s0 )),bind(F,$thf( s0 )),bind(G,$thf( s0 )),bind(H,$thf( s0 ))]]) ).
thf(32409,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[32380,17]) ).
thf(32410,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[32409]) ).
thf(32411,plain,
s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[32410:[bind(A,$thf( s1 )),bind(B,$thf( s1 )),bind(C,$thf( s0 )),bind(D,$thf( s0 )),bind(E,$thf( s0 )),bind(F,$thf( s0 )),bind(G,$thf( s0 )),bind(H,$thf( s0 )),bind(I,$thf( s1 ))]]) ).
thf(32447,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s0 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s1 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[32411,21]) ).
thf(32448,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s0 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s1 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[32447]) ).
thf(32449,plain,
s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[32448:[bind(A,$thf( s1 )),bind(B,$thf( s1 )),bind(C,$thf( s0 )),bind(D,$thf( s0 )),bind(E,$thf( s0 )),bind(F,$thf( s0 )),bind(G,$thf( s0 ))]]) ).
thf(32488,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[32449,17]) ).
thf(32489,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[32488]) ).
thf(32490,plain,
s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[32489:[bind(A,$thf( s1 )),bind(B,$thf( s1 )),bind(C,$thf( s0 )),bind(D,$thf( s0 )),bind(E,$thf( s0 )),bind(F,$thf( s0 )),bind(G,$thf( s0 )),bind(H,$thf( s1 )),bind(I,$thf( s0 ))]]) ).
thf(32535,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[32490,19]) ).
thf(32536,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[32535]) ).
thf(32537,plain,
s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[32536:[bind(A,$thf( s1 )),bind(B,$thf( s1 )),bind(C,$thf( s0 )),bind(D,$thf( s0 )),bind(E,$thf( s0 )),bind(F,$thf( s0 )),bind(G,$thf( s0 )),bind(H,$thf( s1 ))]]) ).
thf(32566,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[32537,17]) ).
thf(32567,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[32566]) ).
thf(32568,plain,
s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[32567:[bind(A,$thf( s1 )),bind(B,$thf( s1 )),bind(C,$thf( s0 )),bind(D,$thf( s0 )),bind(E,$thf( s0 )),bind(F,$thf( s0 )),bind(G,$thf( s0 )),bind(H,$thf( s1 )),bind(I,$thf( s1 ))]]) ).
thf(32613,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[32568,23]) ).
thf(32614,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[32613]) ).
thf(32615,plain,
s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[32614:[bind(A,$thf( s1 )),bind(B,$thf( s1 )),bind(C,$thf( s0 )),bind(D,$thf( s0 )),bind(E,$thf( s0 )),bind(F,$thf( s0 ))]]) ).
thf(32646,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[32615,17]) ).
thf(32647,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[32646]) ).
thf(32648,plain,
s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[32647:[bind(A,$thf( s1 )),bind(B,$thf( s1 )),bind(C,$thf( s0 )),bind(D,$thf( s0 )),bind(E,$thf( s0 )),bind(F,$thf( s0 )),bind(G,$thf( s1 )),bind(H,$thf( s0 )),bind(I,$thf( s0 ))]]) ).
thf(32693,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[32648,19]) ).
thf(32694,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[32693]) ).
thf(32695,plain,
s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[32694:[bind(A,$thf( s1 )),bind(B,$thf( s1 )),bind(C,$thf( s0 )),bind(D,$thf( s0 )),bind(E,$thf( s0 )),bind(F,$thf( s0 )),bind(G,$thf( s1 )),bind(H,$thf( s0 ))]]) ).
thf(32725,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[32695,17]) ).
thf(32726,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[32725]) ).
thf(32727,plain,
s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[32726:[bind(A,$thf( s1 )),bind(B,$thf( s1 )),bind(C,$thf( s0 )),bind(D,$thf( s0 )),bind(E,$thf( s0 )),bind(F,$thf( s0 )),bind(G,$thf( s1 )),bind(H,$thf( s0 )),bind(I,$thf( s1 ))]]) ).
thf(32762,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s0 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s1 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[32727,21]) ).
thf(32763,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s0 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s1 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[32762]) ).
thf(32764,plain,
s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[32763:[bind(A,$thf( s1 )),bind(B,$thf( s1 )),bind(C,$thf( s0 )),bind(D,$thf( s0 )),bind(E,$thf( s0 )),bind(F,$thf( s0 )),bind(G,$thf( s1 ))]]) ).
thf(32803,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[32764,17]) ).
thf(32804,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[32803]) ).
thf(32805,plain,
s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[32804:[bind(A,$thf( s1 )),bind(B,$thf( s1 )),bind(C,$thf( s0 )),bind(D,$thf( s0 )),bind(E,$thf( s0 )),bind(F,$thf( s0 )),bind(G,$thf( s1 )),bind(H,$thf( s1 )),bind(I,$thf( s0 ))]]) ).
thf(32850,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[32805,19]) ).
thf(32851,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[32850]) ).
thf(32852,plain,
s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[32851:[bind(A,$thf( s1 )),bind(B,$thf( s1 )),bind(C,$thf( s0 )),bind(D,$thf( s0 )),bind(E,$thf( s0 )),bind(F,$thf( s0 )),bind(G,$thf( s1 )),bind(H,$thf( s1 ))]]) ).
thf(32883,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[32852,17]) ).
thf(32884,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[32883]) ).
thf(32885,plain,
s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[32884:[bind(A,$thf( s1 )),bind(B,$thf( s1 )),bind(C,$thf( s0 )),bind(D,$thf( s0 )),bind(E,$thf( s0 )),bind(F,$thf( s0 )),bind(G,$thf( s1 )),bind(H,$thf( s1 )),bind(I,$thf( s1 ))]]) ).
thf(32912,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[32885,25]) ).
thf(32913,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[32912]) ).
thf(32914,plain,
s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[32913:[bind(A,$thf( s1 )),bind(B,$thf( s1 )),bind(C,$thf( s0 )),bind(D,$thf( s0 )),bind(E,$thf( s0 ))]]) ).
thf(32961,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[32914,17]) ).
thf(32962,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[32961]) ).
thf(32963,plain,
s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[32962:[bind(A,$thf( s1 )),bind(B,$thf( s1 )),bind(C,$thf( s0 )),bind(D,$thf( s0 )),bind(E,$thf( s0 )),bind(F,$thf( s1 )),bind(G,$thf( s0 )),bind(H,$thf( s0 )),bind(I,$thf( s0 ))]]) ).
thf(33009,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[32963,19]) ).
thf(33010,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[33009]) ).
thf(33011,plain,
s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[33010:[bind(A,$thf( s1 )),bind(B,$thf( s1 )),bind(C,$thf( s0 )),bind(D,$thf( s0 )),bind(E,$thf( s0 )),bind(F,$thf( s1 )),bind(G,$thf( s0 )),bind(H,$thf( s0 ))]]) ).
thf(33040,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[33011,17]) ).
thf(33041,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[33040]) ).
thf(33042,plain,
s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[33041:[bind(A,$thf( s1 )),bind(B,$thf( s1 )),bind(C,$thf( s0 )),bind(D,$thf( s0 )),bind(E,$thf( s0 )),bind(F,$thf( s1 )),bind(G,$thf( s0 )),bind(H,$thf( s0 )),bind(I,$thf( s1 ))]]) ).
thf(33077,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s0 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s1 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[33042,21]) ).
thf(33078,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s0 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s1 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[33077]) ).
thf(33079,plain,
s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[33078:[bind(A,$thf( s1 )),bind(B,$thf( s1 )),bind(C,$thf( s0 )),bind(D,$thf( s0 )),bind(E,$thf( s0 )),bind(F,$thf( s1 )),bind(G,$thf( s0 ))]]) ).
thf(33118,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[33079,17]) ).
thf(33119,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[33118]) ).
thf(33120,plain,
s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[33119:[bind(A,$thf( s1 )),bind(B,$thf( s1 )),bind(C,$thf( s0 )),bind(D,$thf( s0 )),bind(E,$thf( s0 )),bind(F,$thf( s1 )),bind(G,$thf( s0 )),bind(H,$thf( s1 )),bind(I,$thf( s0 ))]]) ).
thf(33167,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[33120,19]) ).
thf(33168,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[33167]) ).
thf(33169,plain,
s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[33168:[bind(A,$thf( s1 )),bind(B,$thf( s1 )),bind(C,$thf( s0 )),bind(D,$thf( s0 )),bind(E,$thf( s0 )),bind(F,$thf( s1 )),bind(G,$thf( s0 )),bind(H,$thf( s1 ))]]) ).
thf(33198,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[33169,17]) ).
thf(33199,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[33198]) ).
thf(33200,plain,
s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[33199:[bind(A,$thf( s1 )),bind(B,$thf( s1 )),bind(C,$thf( s0 )),bind(D,$thf( s0 )),bind(E,$thf( s0 )),bind(F,$thf( s1 )),bind(G,$thf( s0 )),bind(H,$thf( s1 )),bind(I,$thf( s1 ))]]) ).
thf(33243,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[33200,23]) ).
thf(33244,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[33243]) ).
thf(33245,plain,
s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[33244:[bind(A,$thf( s1 )),bind(B,$thf( s1 )),bind(C,$thf( s0 )),bind(D,$thf( s0 )),bind(E,$thf( s0 )),bind(F,$thf( s1 ))]]) ).
thf(33277,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[33245,17]) ).
thf(33278,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[33277]) ).
thf(33279,plain,
s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[33278:[bind(A,$thf( s1 )),bind(B,$thf( s1 )),bind(C,$thf( s0 )),bind(D,$thf( s0 )),bind(E,$thf( s0 )),bind(F,$thf( s1 )),bind(G,$thf( s1 )),bind(H,$thf( s0 )),bind(I,$thf( s0 ))]]) ).
thf(33324,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[33279,19]) ).
thf(33325,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[33324]) ).
thf(33326,plain,
s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[33325:[bind(A,$thf( s1 )),bind(B,$thf( s1 )),bind(C,$thf( s0 )),bind(D,$thf( s0 )),bind(E,$thf( s0 )),bind(F,$thf( s1 )),bind(G,$thf( s1 )),bind(H,$thf( s0 ))]]) ).
thf(33355,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[33326,17]) ).
thf(33356,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[33355]) ).
thf(33357,plain,
s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[33356:[bind(A,$thf( s1 )),bind(B,$thf( s1 )),bind(C,$thf( s0 )),bind(D,$thf( s0 )),bind(E,$thf( s0 )),bind(F,$thf( s1 )),bind(G,$thf( s1 )),bind(H,$thf( s0 )),bind(I,$thf( s1 ))]]) ).
thf(33392,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s0 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s1 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[33357,21]) ).
thf(33393,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s0 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s1 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[33392]) ).
thf(33394,plain,
s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[33393:[bind(A,$thf( s1 )),bind(B,$thf( s1 )),bind(C,$thf( s0 )),bind(D,$thf( s0 )),bind(E,$thf( s0 )),bind(F,$thf( s1 )),bind(G,$thf( s1 ))]]) ).
thf(33435,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[33394,17]) ).
thf(33436,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[33435]) ).
thf(33437,plain,
s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[33436:[bind(A,$thf( s1 )),bind(B,$thf( s1 )),bind(C,$thf( s0 )),bind(D,$thf( s0 )),bind(E,$thf( s0 )),bind(F,$thf( s1 )),bind(G,$thf( s1 )),bind(H,$thf( s1 )),bind(I,$thf( s0 ))]]) ).
thf(33482,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[33437,19]) ).
thf(33483,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[33482]) ).
thf(33484,plain,
s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[33483:[bind(A,$thf( s1 )),bind(B,$thf( s1 )),bind(C,$thf( s0 )),bind(D,$thf( s0 )),bind(E,$thf( s0 )),bind(F,$thf( s1 )),bind(G,$thf( s1 )),bind(H,$thf( s1 ))]]) ).
thf(33513,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[33484,17]) ).
thf(33514,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[33513]) ).
thf(33515,plain,
s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[33514:[bind(A,$thf( s1 )),bind(B,$thf( s1 )),bind(C,$thf( s0 )),bind(D,$thf( s0 )),bind(E,$thf( s0 )),bind(F,$thf( s1 )),bind(G,$thf( s1 )),bind(H,$thf( s1 )),bind(I,$thf( s1 ))]]) ).
thf(33555,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[33515,27]) ).
thf(33556,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[33555]) ).
thf(33557,plain,
s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[33556:[bind(A,$thf( s1 )),bind(B,$thf( s1 )),bind(C,$thf( s0 )),bind(D,$thf( s0 ))]]) ).
thf(33592,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[33557,17]) ).
thf(33593,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[33592]) ).
thf(33594,plain,
s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[33593:[bind(A,$thf( s1 )),bind(B,$thf( s1 )),bind(C,$thf( s0 )),bind(D,$thf( s0 )),bind(E,$thf( s1 )),bind(F,$thf( s0 )),bind(G,$thf( s0 )),bind(H,$thf( s0 )),bind(I,$thf( s0 ))]]) ).
thf(33639,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[33594,19]) ).
thf(33640,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[33639]) ).
thf(33641,plain,
s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[33640:[bind(A,$thf( s1 )),bind(B,$thf( s1 )),bind(C,$thf( s0 )),bind(D,$thf( s0 )),bind(E,$thf( s1 )),bind(F,$thf( s0 )),bind(G,$thf( s0 )),bind(H,$thf( s0 ))]]) ).
thf(33670,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[33641,17]) ).
thf(33671,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[33670]) ).
thf(33672,plain,
s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[33671:[bind(A,$thf( s1 )),bind(B,$thf( s1 )),bind(C,$thf( s0 )),bind(D,$thf( s0 )),bind(E,$thf( s1 )),bind(F,$thf( s0 )),bind(G,$thf( s0 )),bind(H,$thf( s0 )),bind(I,$thf( s1 ))]]) ).
thf(33709,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s0 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s1 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[33672,21]) ).
thf(33710,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s0 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s1 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[33709]) ).
thf(33711,plain,
s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[33710:[bind(A,$thf( s1 )),bind(B,$thf( s1 )),bind(C,$thf( s0 )),bind(D,$thf( s0 )),bind(E,$thf( s1 )),bind(F,$thf( s0 )),bind(G,$thf( s0 ))]]) ).
thf(33750,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[33711,17]) ).
thf(33751,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[33750]) ).
thf(33752,plain,
s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[33751:[bind(A,$thf( s1 )),bind(B,$thf( s1 )),bind(C,$thf( s0 )),bind(D,$thf( s0 )),bind(E,$thf( s1 )),bind(F,$thf( s0 )),bind(G,$thf( s0 )),bind(H,$thf( s1 )),bind(I,$thf( s0 ))]]) ).
thf(33797,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[33752,19]) ).
thf(33798,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[33797]) ).
thf(33799,plain,
s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[33798:[bind(A,$thf( s1 )),bind(B,$thf( s1 )),bind(C,$thf( s0 )),bind(D,$thf( s0 )),bind(E,$thf( s1 )),bind(F,$thf( s0 )),bind(G,$thf( s0 )),bind(H,$thf( s1 ))]]) ).
thf(33829,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[33799,17]) ).
thf(33830,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[33829]) ).
thf(33831,plain,
s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[33830:[bind(A,$thf( s1 )),bind(B,$thf( s1 )),bind(C,$thf( s0 )),bind(D,$thf( s0 )),bind(E,$thf( s1 )),bind(F,$thf( s0 )),bind(G,$thf( s0 )),bind(H,$thf( s1 )),bind(I,$thf( s1 ))]]) ).
thf(33874,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[33831,23]) ).
thf(33875,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[33874]) ).
thf(33876,plain,
s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[33875:[bind(A,$thf( s1 )),bind(B,$thf( s1 )),bind(C,$thf( s0 )),bind(D,$thf( s0 )),bind(E,$thf( s1 )),bind(F,$thf( s0 ))]]) ).
thf(33907,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[33876,17]) ).
thf(33908,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[33907]) ).
thf(33909,plain,
s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[33908:[bind(A,$thf( s1 )),bind(B,$thf( s1 )),bind(C,$thf( s0 )),bind(D,$thf( s0 )),bind(E,$thf( s1 )),bind(F,$thf( s0 )),bind(G,$thf( s1 )),bind(H,$thf( s0 )),bind(I,$thf( s0 ))]]) ).
thf(33954,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[33909,19]) ).
thf(33955,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[33954]) ).
thf(33956,plain,
s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[33955:[bind(A,$thf( s1 )),bind(B,$thf( s1 )),bind(C,$thf( s0 )),bind(D,$thf( s0 )),bind(E,$thf( s1 )),bind(F,$thf( s0 )),bind(G,$thf( s1 )),bind(H,$thf( s0 ))]]) ).
thf(33987,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[33956,17]) ).
thf(33988,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[33987]) ).
thf(33989,plain,
s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[33988:[bind(A,$thf( s1 )),bind(B,$thf( s1 )),bind(C,$thf( s0 )),bind(D,$thf( s0 )),bind(E,$thf( s1 )),bind(F,$thf( s0 )),bind(G,$thf( s1 )),bind(H,$thf( s0 )),bind(I,$thf( s1 ))]]) ).
thf(34024,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s0 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s1 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[33989,21]) ).
thf(34025,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s0 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s1 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[34024]) ).
thf(34026,plain,
s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[34025:[bind(A,$thf( s1 )),bind(B,$thf( s1 )),bind(C,$thf( s0 )),bind(D,$thf( s0 )),bind(E,$thf( s1 )),bind(F,$thf( s0 )),bind(G,$thf( s1 ))]]) ).
thf(34065,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[34026,17]) ).
thf(34066,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[34065]) ).
thf(34067,plain,
s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[34066:[bind(A,$thf( s1 )),bind(B,$thf( s1 )),bind(C,$thf( s0 )),bind(D,$thf( s0 )),bind(E,$thf( s1 )),bind(F,$thf( s0 )),bind(G,$thf( s1 )),bind(H,$thf( s1 )),bind(I,$thf( s0 ))]]) ).
thf(34113,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[34067,19]) ).
thf(34114,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[34113]) ).
thf(34115,plain,
s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[34114:[bind(A,$thf( s1 )),bind(B,$thf( s1 )),bind(C,$thf( s0 )),bind(D,$thf( s0 )),bind(E,$thf( s1 )),bind(F,$thf( s0 )),bind(G,$thf( s1 )),bind(H,$thf( s1 ))]]) ).
thf(34144,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[34115,17]) ).
thf(34145,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[34144]) ).
thf(34146,plain,
s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[34145:[bind(A,$thf( s1 )),bind(B,$thf( s1 )),bind(C,$thf( s0 )),bind(D,$thf( s0 )),bind(E,$thf( s1 )),bind(F,$thf( s0 )),bind(G,$thf( s1 )),bind(H,$thf( s1 )),bind(I,$thf( s1 ))]]) ).
thf(34173,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[34146,25]) ).
thf(34174,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[34173]) ).
thf(34175,plain,
s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[34174:[bind(A,$thf( s1 )),bind(B,$thf( s1 )),bind(C,$thf( s0 )),bind(D,$thf( s0 )),bind(E,$thf( s1 ))]]) ).
thf(34222,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[34175,17]) ).
thf(34223,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[34222]) ).
thf(34224,plain,
s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[34223:[bind(A,$thf( s1 )),bind(B,$thf( s1 )),bind(C,$thf( s0 )),bind(D,$thf( s0 )),bind(E,$thf( s1 )),bind(F,$thf( s1 )),bind(G,$thf( s0 )),bind(H,$thf( s0 )),bind(I,$thf( s0 ))]]) ).
thf(34271,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[34224,19]) ).
thf(34272,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[34271]) ).
thf(34273,plain,
s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[34272:[bind(A,$thf( s1 )),bind(B,$thf( s1 )),bind(C,$thf( s0 )),bind(D,$thf( s0 )),bind(E,$thf( s1 )),bind(F,$thf( s1 )),bind(G,$thf( s0 )),bind(H,$thf( s0 ))]]) ).
thf(34302,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[34273,17]) ).
thf(34303,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[34302]) ).
thf(34304,plain,
s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[34303:[bind(A,$thf( s1 )),bind(B,$thf( s1 )),bind(C,$thf( s0 )),bind(D,$thf( s0 )),bind(E,$thf( s1 )),bind(F,$thf( s1 )),bind(G,$thf( s0 )),bind(H,$thf( s0 )),bind(I,$thf( s1 ))]]) ).
thf(34339,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s0 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s1 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[34304,21]) ).
thf(34340,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s0 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s1 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[34339]) ).
thf(34341,plain,
s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[34340:[bind(A,$thf( s1 )),bind(B,$thf( s1 )),bind(C,$thf( s0 )),bind(D,$thf( s0 )),bind(E,$thf( s1 )),bind(F,$thf( s1 )),bind(G,$thf( s0 ))]]) ).
thf(34381,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[34341,17]) ).
thf(34382,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[34381]) ).
thf(34383,plain,
s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[34382:[bind(A,$thf( s1 )),bind(B,$thf( s1 )),bind(C,$thf( s0 )),bind(D,$thf( s0 )),bind(E,$thf( s1 )),bind(F,$thf( s1 )),bind(G,$thf( s0 )),bind(H,$thf( s1 )),bind(I,$thf( s0 ))]]) ).
thf(34428,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[34383,19]) ).
thf(34429,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[34428]) ).
thf(34430,plain,
s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[34429:[bind(A,$thf( s1 )),bind(B,$thf( s1 )),bind(C,$thf( s0 )),bind(D,$thf( s0 )),bind(E,$thf( s1 )),bind(F,$thf( s1 )),bind(G,$thf( s0 )),bind(H,$thf( s1 ))]]) ).
thf(34459,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[34430,17]) ).
thf(34460,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[34459]) ).
thf(34461,plain,
s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[34460:[bind(A,$thf( s1 )),bind(B,$thf( s1 )),bind(C,$thf( s0 )),bind(D,$thf( s0 )),bind(E,$thf( s1 )),bind(F,$thf( s1 )),bind(G,$thf( s0 )),bind(H,$thf( s1 )),bind(I,$thf( s1 ))]]) ).
thf(34504,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[34461,23]) ).
thf(34505,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[34504]) ).
thf(34506,plain,
s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[34505:[bind(A,$thf( s1 )),bind(B,$thf( s1 )),bind(C,$thf( s0 )),bind(D,$thf( s0 )),bind(E,$thf( s1 )),bind(F,$thf( s1 ))]]) ).
thf(34539,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[34506,17]) ).
thf(34540,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[34539]) ).
thf(34541,plain,
s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[34540:[bind(A,$thf( s1 )),bind(B,$thf( s1 )),bind(C,$thf( s0 )),bind(D,$thf( s0 )),bind(E,$thf( s1 )),bind(F,$thf( s1 )),bind(G,$thf( s1 )),bind(H,$thf( s0 )),bind(I,$thf( s0 ))]]) ).
thf(34586,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[34541,19]) ).
thf(34587,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[34586]) ).
thf(34588,plain,
s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[34587:[bind(A,$thf( s1 )),bind(B,$thf( s1 )),bind(C,$thf( s0 )),bind(D,$thf( s0 )),bind(E,$thf( s1 )),bind(F,$thf( s1 )),bind(G,$thf( s1 )),bind(H,$thf( s0 ))]]) ).
thf(34617,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[34588,17]) ).
thf(34618,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[34617]) ).
thf(34619,plain,
s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[34618:[bind(A,$thf( s1 )),bind(B,$thf( s1 )),bind(C,$thf( s0 )),bind(D,$thf( s0 )),bind(E,$thf( s1 )),bind(F,$thf( s1 )),bind(G,$thf( s1 )),bind(H,$thf( s0 )),bind(I,$thf( s1 ))]]) ).
thf(34655,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s0 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s1 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[34619,21]) ).
thf(34656,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s0 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s1 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[34655]) ).
thf(34657,plain,
s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[34656:[bind(A,$thf( s1 )),bind(B,$thf( s1 )),bind(C,$thf( s0 )),bind(D,$thf( s0 )),bind(E,$thf( s1 )),bind(F,$thf( s1 )),bind(G,$thf( s1 ))]]) ).
thf(34696,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[34657,17]) ).
thf(34697,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[34696]) ).
thf(34698,plain,
s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[34697:[bind(A,$thf( s1 )),bind(B,$thf( s1 )),bind(C,$thf( s0 )),bind(D,$thf( s0 )),bind(E,$thf( s1 )),bind(F,$thf( s1 )),bind(G,$thf( s1 )),bind(H,$thf( s1 )),bind(I,$thf( s0 ))]]) ).
thf(34743,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[34698,19]) ).
thf(34744,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[34743]) ).
thf(34745,plain,
s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[34744:[bind(A,$thf( s1 )),bind(B,$thf( s1 )),bind(C,$thf( s0 )),bind(D,$thf( s0 )),bind(E,$thf( s1 )),bind(F,$thf( s1 )),bind(G,$thf( s1 )),bind(H,$thf( s1 ))]]) ).
thf(34774,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[34745,17]) ).
thf(34775,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[34774]) ).
thf(34776,plain,
s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[34775:[bind(A,$thf( s1 )),bind(B,$thf( s1 )),bind(C,$thf( s0 )),bind(D,$thf( s0 )),bind(E,$thf( s1 )),bind(F,$thf( s1 )),bind(G,$thf( s1 )),bind(H,$thf( s1 )),bind(I,$thf( s1 ))]]) ).
thf(34809,plain,
! [C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[34776,29]) ).
thf(34810,plain,
! [C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[34809]) ).
thf(34811,plain,
s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[34810:[bind(A,$thf( s1 )),bind(B,$thf( s1 )),bind(C,$thf( s0 ))]]) ).
thf(34854,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[34811,17]) ).
thf(34855,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[34854]) ).
thf(34856,plain,
s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[34855:[bind(A,$thf( s1 )),bind(B,$thf( s1 )),bind(C,$thf( s0 )),bind(D,$thf( s1 )),bind(E,$thf( s0 )),bind(F,$thf( s0 )),bind(G,$thf( s0 )),bind(H,$thf( s0 )),bind(I,$thf( s0 ))]]) ).
thf(34901,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[34856,19]) ).
thf(34902,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[34901]) ).
thf(34903,plain,
s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[34902:[bind(A,$thf( s1 )),bind(B,$thf( s1 )),bind(C,$thf( s0 )),bind(D,$thf( s1 )),bind(E,$thf( s0 )),bind(F,$thf( s0 )),bind(G,$thf( s0 )),bind(H,$thf( s0 ))]]) ).
thf(34933,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[34903,17]) ).
thf(34934,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[34933]) ).
thf(34935,plain,
s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[34934:[bind(A,$thf( s1 )),bind(B,$thf( s1 )),bind(C,$thf( s0 )),bind(D,$thf( s1 )),bind(E,$thf( s0 )),bind(F,$thf( s0 )),bind(G,$thf( s0 )),bind(H,$thf( s0 )),bind(I,$thf( s1 ))]]) ).
thf(34970,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s0 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s1 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[34935,21]) ).
thf(34971,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s0 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s1 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[34970]) ).
thf(34972,plain,
s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[34971:[bind(A,$thf( s1 )),bind(B,$thf( s1 )),bind(C,$thf( s0 )),bind(D,$thf( s1 )),bind(E,$thf( s0 )),bind(F,$thf( s0 )),bind(G,$thf( s0 ))]]) ).
thf(35011,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[34972,17]) ).
thf(35012,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[35011]) ).
thf(35013,plain,
s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[35012:[bind(A,$thf( s1 )),bind(B,$thf( s1 )),bind(C,$thf( s0 )),bind(D,$thf( s1 )),bind(E,$thf( s0 )),bind(F,$thf( s0 )),bind(G,$thf( s0 )),bind(H,$thf( s1 )),bind(I,$thf( s0 ))]]) ).
thf(35058,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[35013,19]) ).
thf(35059,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[35058]) ).
thf(35060,plain,
s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[35059:[bind(A,$thf( s1 )),bind(B,$thf( s1 )),bind(C,$thf( s0 )),bind(D,$thf( s1 )),bind(E,$thf( s0 )),bind(F,$thf( s0 )),bind(G,$thf( s0 )),bind(H,$thf( s1 ))]]) ).
thf(35091,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[35060,17]) ).
thf(35092,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[35091]) ).
thf(35093,plain,
s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[35092:[bind(A,$thf( s1 )),bind(B,$thf( s1 )),bind(C,$thf( s0 )),bind(D,$thf( s1 )),bind(E,$thf( s0 )),bind(F,$thf( s0 )),bind(G,$thf( s0 )),bind(H,$thf( s1 )),bind(I,$thf( s1 ))]]) ).
thf(35136,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[35093,23]) ).
thf(35137,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[35136]) ).
thf(35138,plain,
s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[35137:[bind(A,$thf( s1 )),bind(B,$thf( s1 )),bind(C,$thf( s0 )),bind(D,$thf( s1 )),bind(E,$thf( s0 )),bind(F,$thf( s0 ))]]) ).
thf(35169,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[35138,17]) ).
thf(35170,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[35169]) ).
thf(35171,plain,
s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[35170:[bind(A,$thf( s1 )),bind(B,$thf( s1 )),bind(C,$thf( s0 )),bind(D,$thf( s1 )),bind(E,$thf( s0 )),bind(F,$thf( s0 )),bind(G,$thf( s1 )),bind(H,$thf( s0 )),bind(I,$thf( s0 ))]]) ).
thf(35217,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[35171,19]) ).
thf(35218,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[35217]) ).
thf(35219,plain,
s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[35218:[bind(A,$thf( s1 )),bind(B,$thf( s1 )),bind(C,$thf( s0 )),bind(D,$thf( s1 )),bind(E,$thf( s0 )),bind(F,$thf( s0 )),bind(G,$thf( s1 )),bind(H,$thf( s0 ))]]) ).
thf(35248,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[35219,17]) ).
thf(35249,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[35248]) ).
thf(35250,plain,
s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[35249:[bind(A,$thf( s1 )),bind(B,$thf( s1 )),bind(C,$thf( s0 )),bind(D,$thf( s1 )),bind(E,$thf( s0 )),bind(F,$thf( s0 )),bind(G,$thf( s1 )),bind(H,$thf( s0 )),bind(I,$thf( s1 ))]]) ).
thf(35285,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s0 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s1 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[35250,21]) ).
thf(35286,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s0 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s1 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[35285]) ).
thf(35287,plain,
s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[35286:[bind(A,$thf( s1 )),bind(B,$thf( s1 )),bind(C,$thf( s0 )),bind(D,$thf( s1 )),bind(E,$thf( s0 )),bind(F,$thf( s0 )),bind(G,$thf( s1 ))]]) ).
thf(35326,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[35287,17]) ).
thf(35327,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[35326]) ).
thf(35328,plain,
s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[35327:[bind(A,$thf( s1 )),bind(B,$thf( s1 )),bind(C,$thf( s0 )),bind(D,$thf( s1 )),bind(E,$thf( s0 )),bind(F,$thf( s0 )),bind(G,$thf( s1 )),bind(H,$thf( s1 )),bind(I,$thf( s0 ))]]) ).
thf(35375,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[35328,19]) ).
thf(35376,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[35375]) ).
thf(35377,plain,
s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[35376:[bind(A,$thf( s1 )),bind(B,$thf( s1 )),bind(C,$thf( s0 )),bind(D,$thf( s1 )),bind(E,$thf( s0 )),bind(F,$thf( s0 )),bind(G,$thf( s1 )),bind(H,$thf( s1 ))]]) ).
thf(35406,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[35377,17]) ).
thf(35407,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[35406]) ).
thf(35408,plain,
s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[35407:[bind(A,$thf( s1 )),bind(B,$thf( s1 )),bind(C,$thf( s0 )),bind(D,$thf( s1 )),bind(E,$thf( s0 )),bind(F,$thf( s0 )),bind(G,$thf( s1 )),bind(H,$thf( s1 )),bind(I,$thf( s1 ))]]) ).
thf(35435,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[35408,25]) ).
thf(35436,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[35435]) ).
thf(35437,plain,
s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[35436:[bind(A,$thf( s1 )),bind(B,$thf( s1 )),bind(C,$thf( s0 )),bind(D,$thf( s1 )),bind(E,$thf( s0 ))]]) ).
thf(35485,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[35437,17]) ).
thf(35486,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[35485]) ).
thf(35487,plain,
s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[35486:[bind(A,$thf( s1 )),bind(B,$thf( s1 )),bind(C,$thf( s0 )),bind(D,$thf( s1 )),bind(E,$thf( s0 )),bind(F,$thf( s1 )),bind(G,$thf( s0 )),bind(H,$thf( s0 )),bind(I,$thf( s0 ))]]) ).
thf(35532,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[35487,19]) ).
thf(35533,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[35532]) ).
thf(35534,plain,
s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[35533:[bind(A,$thf( s1 )),bind(B,$thf( s1 )),bind(C,$thf( s0 )),bind(D,$thf( s1 )),bind(E,$thf( s0 )),bind(F,$thf( s1 )),bind(G,$thf( s0 )),bind(H,$thf( s0 ))]]) ).
thf(35563,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[35534,17]) ).
thf(35564,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[35563]) ).
thf(35565,plain,
s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[35564:[bind(A,$thf( s1 )),bind(B,$thf( s1 )),bind(C,$thf( s0 )),bind(D,$thf( s1 )),bind(E,$thf( s0 )),bind(F,$thf( s1 )),bind(G,$thf( s0 )),bind(H,$thf( s0 )),bind(I,$thf( s1 ))]]) ).
thf(35600,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s0 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s1 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[35565,21]) ).
thf(35601,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s0 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s1 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[35600]) ).
thf(35602,plain,
s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[35601:[bind(A,$thf( s1 )),bind(B,$thf( s1 )),bind(C,$thf( s0 )),bind(D,$thf( s1 )),bind(E,$thf( s0 )),bind(F,$thf( s1 )),bind(G,$thf( s0 ))]]) ).
thf(35643,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[35602,17]) ).
thf(35644,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[35643]) ).
thf(35645,plain,
s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[35644:[bind(A,$thf( s1 )),bind(B,$thf( s1 )),bind(C,$thf( s0 )),bind(D,$thf( s1 )),bind(E,$thf( s0 )),bind(F,$thf( s1 )),bind(G,$thf( s0 )),bind(H,$thf( s1 )),bind(I,$thf( s0 ))]]) ).
thf(35690,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[35645,19]) ).
thf(35691,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[35690]) ).
thf(35692,plain,
s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[35691:[bind(A,$thf( s1 )),bind(B,$thf( s1 )),bind(C,$thf( s0 )),bind(D,$thf( s1 )),bind(E,$thf( s0 )),bind(F,$thf( s1 )),bind(G,$thf( s0 )),bind(H,$thf( s1 ))]]) ).
thf(35721,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[35692,17]) ).
thf(35722,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[35721]) ).
thf(35723,plain,
s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[35722:[bind(A,$thf( s1 )),bind(B,$thf( s1 )),bind(C,$thf( s0 )),bind(D,$thf( s1 )),bind(E,$thf( s0 )),bind(F,$thf( s1 )),bind(G,$thf( s0 )),bind(H,$thf( s1 )),bind(I,$thf( s1 ))]]) ).
thf(35767,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[35723,23]) ).
thf(35768,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[35767]) ).
thf(35769,plain,
s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[35768:[bind(A,$thf( s1 )),bind(B,$thf( s1 )),bind(C,$thf( s0 )),bind(D,$thf( s1 )),bind(E,$thf( s0 )),bind(F,$thf( s1 ))]]) ).
thf(35800,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[35769,17]) ).
thf(35801,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[35800]) ).
thf(35802,plain,
s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[35801:[bind(A,$thf( s1 )),bind(B,$thf( s1 )),bind(C,$thf( s0 )),bind(D,$thf( s1 )),bind(E,$thf( s0 )),bind(F,$thf( s1 )),bind(G,$thf( s1 )),bind(H,$thf( s0 )),bind(I,$thf( s0 ))]]) ).
thf(35847,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[35802,19]) ).
thf(35848,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[35847]) ).
thf(35849,plain,
s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[35848:[bind(A,$thf( s1 )),bind(B,$thf( s1 )),bind(C,$thf( s0 )),bind(D,$thf( s1 )),bind(E,$thf( s0 )),bind(F,$thf( s1 )),bind(G,$thf( s1 )),bind(H,$thf( s0 ))]]) ).
thf(35878,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[35849,17]) ).
thf(35879,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[35878]) ).
thf(35880,plain,
s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[35879:[bind(A,$thf( s1 )),bind(B,$thf( s1 )),bind(C,$thf( s0 )),bind(D,$thf( s1 )),bind(E,$thf( s0 )),bind(F,$thf( s1 )),bind(G,$thf( s1 )),bind(H,$thf( s0 )),bind(I,$thf( s1 ))]]) ).
thf(35917,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s0 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s1 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[35880,21]) ).
thf(35918,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s0 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s1 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[35917]) ).
thf(35919,plain,
s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[35918:[bind(A,$thf( s1 )),bind(B,$thf( s1 )),bind(C,$thf( s0 )),bind(D,$thf( s1 )),bind(E,$thf( s0 )),bind(F,$thf( s1 )),bind(G,$thf( s1 ))]]) ).
thf(35958,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[35919,17]) ).
thf(35959,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[35958]) ).
thf(35960,plain,
s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[35959:[bind(A,$thf( s1 )),bind(B,$thf( s1 )),bind(C,$thf( s0 )),bind(D,$thf( s1 )),bind(E,$thf( s0 )),bind(F,$thf( s1 )),bind(G,$thf( s1 )),bind(H,$thf( s1 )),bind(I,$thf( s0 ))]]) ).
thf(36005,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[35960,19]) ).
thf(36006,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[36005]) ).
thf(36007,plain,
s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[36006:[bind(A,$thf( s1 )),bind(B,$thf( s1 )),bind(C,$thf( s0 )),bind(D,$thf( s1 )),bind(E,$thf( s0 )),bind(F,$thf( s1 )),bind(G,$thf( s1 )),bind(H,$thf( s1 ))]]) ).
thf(36037,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[36007,17]) ).
thf(36038,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[36037]) ).
thf(36039,plain,
s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[36038:[bind(A,$thf( s1 )),bind(B,$thf( s1 )),bind(C,$thf( s0 )),bind(D,$thf( s1 )),bind(E,$thf( s0 )),bind(F,$thf( s1 )),bind(G,$thf( s1 )),bind(H,$thf( s1 )),bind(I,$thf( s1 ))]]) ).
thf(36078,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[36039,27]) ).
thf(36079,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[36078]) ).
thf(36080,plain,
s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[36079:[bind(A,$thf( s1 )),bind(B,$thf( s1 )),bind(C,$thf( s0 )),bind(D,$thf( s1 ))]]) ).
thf(36115,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[36080,17]) ).
thf(36116,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[36115]) ).
thf(36117,plain,
s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[36116:[bind(A,$thf( s1 )),bind(B,$thf( s1 )),bind(C,$thf( s0 )),bind(D,$thf( s1 )),bind(E,$thf( s1 )),bind(F,$thf( s0 )),bind(G,$thf( s0 )),bind(H,$thf( s0 )),bind(I,$thf( s0 ))]]) ).
thf(36162,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[36117,19]) ).
thf(36163,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[36162]) ).
thf(36164,plain,
s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[36163:[bind(A,$thf( s1 )),bind(B,$thf( s1 )),bind(C,$thf( s0 )),bind(D,$thf( s1 )),bind(E,$thf( s1 )),bind(F,$thf( s0 )),bind(G,$thf( s0 )),bind(H,$thf( s0 ))]]) ).
thf(36195,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[36164,17]) ).
thf(36196,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[36195]) ).
thf(36197,plain,
s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[36196:[bind(A,$thf( s1 )),bind(B,$thf( s1 )),bind(C,$thf( s0 )),bind(D,$thf( s1 )),bind(E,$thf( s1 )),bind(F,$thf( s0 )),bind(G,$thf( s0 )),bind(H,$thf( s0 )),bind(I,$thf( s1 ))]]) ).
thf(36232,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s0 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s1 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[36197,21]) ).
thf(36233,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s0 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s1 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[36232]) ).
thf(36234,plain,
s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[36233:[bind(A,$thf( s1 )),bind(B,$thf( s1 )),bind(C,$thf( s0 )),bind(D,$thf( s1 )),bind(E,$thf( s1 )),bind(F,$thf( s0 )),bind(G,$thf( s0 ))]]) ).
thf(36273,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[36234,17]) ).
thf(36274,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[36273]) ).
thf(36275,plain,
s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[36274:[bind(A,$thf( s1 )),bind(B,$thf( s1 )),bind(C,$thf( s0 )),bind(D,$thf( s1 )),bind(E,$thf( s1 )),bind(F,$thf( s0 )),bind(G,$thf( s0 )),bind(H,$thf( s1 )),bind(I,$thf( s0 ))]]) ).
thf(36321,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[36275,19]) ).
thf(36322,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[36321]) ).
thf(36323,plain,
s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[36322:[bind(A,$thf( s1 )),bind(B,$thf( s1 )),bind(C,$thf( s0 )),bind(D,$thf( s1 )),bind(E,$thf( s1 )),bind(F,$thf( s0 )),bind(G,$thf( s0 )),bind(H,$thf( s1 ))]]) ).
thf(36352,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[36323,17]) ).
thf(36353,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[36352]) ).
thf(36354,plain,
s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[36353:[bind(A,$thf( s1 )),bind(B,$thf( s1 )),bind(C,$thf( s0 )),bind(D,$thf( s1 )),bind(E,$thf( s1 )),bind(F,$thf( s0 )),bind(G,$thf( s0 )),bind(H,$thf( s1 )),bind(I,$thf( s1 ))]]) ).
thf(36397,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[36354,23]) ).
thf(36398,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[36397]) ).
thf(36399,plain,
s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[36398:[bind(A,$thf( s1 )),bind(B,$thf( s1 )),bind(C,$thf( s0 )),bind(D,$thf( s1 )),bind(E,$thf( s1 )),bind(F,$thf( s0 ))]]) ).
thf(36430,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[36399,17]) ).
thf(36431,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[36430]) ).
thf(36432,plain,
s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[36431:[bind(A,$thf( s1 )),bind(B,$thf( s1 )),bind(C,$thf( s0 )),bind(D,$thf( s1 )),bind(E,$thf( s1 )),bind(F,$thf( s0 )),bind(G,$thf( s1 )),bind(H,$thf( s0 )),bind(I,$thf( s0 ))]]) ).
thf(36479,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[36432,19]) ).
thf(36480,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[36479]) ).
thf(36481,plain,
s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[36480:[bind(A,$thf( s1 )),bind(B,$thf( s1 )),bind(C,$thf( s0 )),bind(D,$thf( s1 )),bind(E,$thf( s1 )),bind(F,$thf( s0 )),bind(G,$thf( s1 )),bind(H,$thf( s0 ))]]) ).
thf(36510,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[36481,17]) ).
thf(36511,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[36510]) ).
thf(36512,plain,
s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[36511:[bind(A,$thf( s1 )),bind(B,$thf( s1 )),bind(C,$thf( s0 )),bind(D,$thf( s1 )),bind(E,$thf( s1 )),bind(F,$thf( s0 )),bind(G,$thf( s1 )),bind(H,$thf( s0 )),bind(I,$thf( s1 ))]]) ).
thf(36547,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s0 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s1 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[36512,21]) ).
thf(36548,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s0 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s1 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[36547]) ).
thf(36549,plain,
s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[36548:[bind(A,$thf( s1 )),bind(B,$thf( s1 )),bind(C,$thf( s0 )),bind(D,$thf( s1 )),bind(E,$thf( s1 )),bind(F,$thf( s0 )),bind(G,$thf( s1 ))]]) ).
thf(36589,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[36549,17]) ).
thf(36590,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[36589]) ).
thf(36591,plain,
s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[36590:[bind(A,$thf( s1 )),bind(B,$thf( s1 )),bind(C,$thf( s0 )),bind(D,$thf( s1 )),bind(E,$thf( s1 )),bind(F,$thf( s0 )),bind(G,$thf( s1 )),bind(H,$thf( s1 )),bind(I,$thf( s0 ))]]) ).
thf(36636,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[36591,19]) ).
thf(36637,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[36636]) ).
thf(36638,plain,
s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[36637:[bind(A,$thf( s1 )),bind(B,$thf( s1 )),bind(C,$thf( s0 )),bind(D,$thf( s1 )),bind(E,$thf( s1 )),bind(F,$thf( s0 )),bind(G,$thf( s1 )),bind(H,$thf( s1 ))]]) ).
thf(36667,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[36638,17]) ).
thf(36668,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[36667]) ).
thf(36669,plain,
s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[36668:[bind(A,$thf( s1 )),bind(B,$thf( s1 )),bind(C,$thf( s0 )),bind(D,$thf( s1 )),bind(E,$thf( s1 )),bind(F,$thf( s0 )),bind(G,$thf( s1 )),bind(H,$thf( s1 )),bind(I,$thf( s1 ))]]) ).
thf(36696,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[36669,25]) ).
thf(36697,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[36696]) ).
thf(36698,plain,
s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[36697:[bind(A,$thf( s1 )),bind(B,$thf( s1 )),bind(C,$thf( s0 )),bind(D,$thf( s1 )),bind(E,$thf( s1 ))]]) ).
thf(36747,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[36698,17]) ).
thf(36748,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[36747]) ).
thf(36749,plain,
s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[36748:[bind(A,$thf( s1 )),bind(B,$thf( s1 )),bind(C,$thf( s0 )),bind(D,$thf( s1 )),bind(E,$thf( s1 )),bind(F,$thf( s1 )),bind(G,$thf( s0 )),bind(H,$thf( s0 )),bind(I,$thf( s0 ))]]) ).
thf(36794,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[36749,19]) ).
thf(36795,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[36794]) ).
thf(36796,plain,
s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[36795:[bind(A,$thf( s1 )),bind(B,$thf( s1 )),bind(C,$thf( s0 )),bind(D,$thf( s1 )),bind(E,$thf( s1 )),bind(F,$thf( s1 )),bind(G,$thf( s0 )),bind(H,$thf( s0 ))]]) ).
thf(36825,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[36796,17]) ).
thf(36826,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[36825]) ).
thf(36827,plain,
s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[36826:[bind(A,$thf( s1 )),bind(B,$thf( s1 )),bind(C,$thf( s0 )),bind(D,$thf( s1 )),bind(E,$thf( s1 )),bind(F,$thf( s1 )),bind(G,$thf( s0 )),bind(H,$thf( s0 )),bind(I,$thf( s1 ))]]) ).
thf(36863,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s0 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s1 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[36827,21]) ).
thf(36864,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s0 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s1 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[36863]) ).
thf(36865,plain,
s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[36864:[bind(A,$thf( s1 )),bind(B,$thf( s1 )),bind(C,$thf( s0 )),bind(D,$thf( s1 )),bind(E,$thf( s1 )),bind(F,$thf( s1 )),bind(G,$thf( s0 ))]]) ).
thf(36904,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[36865,17]) ).
thf(36905,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[36904]) ).
thf(36906,plain,
s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[36905:[bind(A,$thf( s1 )),bind(B,$thf( s1 )),bind(C,$thf( s0 )),bind(D,$thf( s1 )),bind(E,$thf( s1 )),bind(F,$thf( s1 )),bind(G,$thf( s0 )),bind(H,$thf( s1 )),bind(I,$thf( s0 ))]]) ).
thf(36951,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[36906,19]) ).
thf(36952,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[36951]) ).
thf(36953,plain,
s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[36952:[bind(A,$thf( s1 )),bind(B,$thf( s1 )),bind(C,$thf( s0 )),bind(D,$thf( s1 )),bind(E,$thf( s1 )),bind(F,$thf( s1 )),bind(G,$thf( s0 )),bind(H,$thf( s1 ))]]) ).
thf(36982,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[36953,17]) ).
thf(36983,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[36982]) ).
thf(36984,plain,
s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[36983:[bind(A,$thf( s1 )),bind(B,$thf( s1 )),bind(C,$thf( s0 )),bind(D,$thf( s1 )),bind(E,$thf( s1 )),bind(F,$thf( s1 )),bind(G,$thf( s0 )),bind(H,$thf( s1 )),bind(I,$thf( s1 ))]]) ).
thf(37029,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[36984,23]) ).
thf(37030,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[37029]) ).
thf(37031,plain,
s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[37030:[bind(A,$thf( s1 )),bind(B,$thf( s1 )),bind(C,$thf( s0 )),bind(D,$thf( s1 )),bind(E,$thf( s1 )),bind(F,$thf( s1 ))]]) ).
thf(37062,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[37031,17]) ).
thf(37063,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[37062]) ).
thf(37064,plain,
s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[37063:[bind(A,$thf( s1 )),bind(B,$thf( s1 )),bind(C,$thf( s0 )),bind(D,$thf( s1 )),bind(E,$thf( s1 )),bind(F,$thf( s1 )),bind(G,$thf( s1 )),bind(H,$thf( s0 )),bind(I,$thf( s0 ))]]) ).
thf(37109,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[37064,19]) ).
thf(37110,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[37109]) ).
thf(37111,plain,
s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[37110:[bind(A,$thf( s1 )),bind(B,$thf( s1 )),bind(C,$thf( s0 )),bind(D,$thf( s1 )),bind(E,$thf( s1 )),bind(F,$thf( s1 )),bind(G,$thf( s1 )),bind(H,$thf( s0 ))]]) ).
thf(37141,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[37111,17]) ).
thf(37142,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[37141]) ).
thf(37143,plain,
s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[37142:[bind(A,$thf( s1 )),bind(B,$thf( s1 )),bind(C,$thf( s0 )),bind(D,$thf( s1 )),bind(E,$thf( s1 )),bind(F,$thf( s1 )),bind(G,$thf( s1 )),bind(H,$thf( s0 )),bind(I,$thf( s1 ))]]) ).
thf(37178,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s0 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s1 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[37143,21]) ).
thf(37179,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s0 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s1 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[37178]) ).
thf(37180,plain,
s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[37179:[bind(A,$thf( s1 )),bind(B,$thf( s1 )),bind(C,$thf( s0 )),bind(D,$thf( s1 )),bind(E,$thf( s1 )),bind(F,$thf( s1 )),bind(G,$thf( s1 ))]]) ).
thf(37219,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[37180,17]) ).
thf(37220,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[37219]) ).
thf(37221,plain,
s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[37220:[bind(A,$thf( s1 )),bind(B,$thf( s1 )),bind(C,$thf( s0 )),bind(D,$thf( s1 )),bind(E,$thf( s1 )),bind(F,$thf( s1 )),bind(G,$thf( s1 )),bind(H,$thf( s1 )),bind(I,$thf( s0 ))]]) ).
thf(37266,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[37221,19]) ).
thf(37267,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[37266]) ).
thf(37268,plain,
s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[37267:[bind(A,$thf( s1 )),bind(B,$thf( s1 )),bind(C,$thf( s0 )),bind(D,$thf( s1 )),bind(E,$thf( s1 )),bind(F,$thf( s1 )),bind(G,$thf( s1 )),bind(H,$thf( s1 ))]]) ).
thf(37299,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[37268,17]) ).
thf(37300,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[37299]) ).
thf(37301,plain,
s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[37300:[bind(A,$thf( s1 )),bind(B,$thf( s1 )),bind(C,$thf( s0 )),bind(D,$thf( s1 )),bind(E,$thf( s1 )),bind(F,$thf( s1 )),bind(G,$thf( s1 )),bind(H,$thf( s1 )),bind(I,$thf( s1 ))]]) ).
thf(37342,plain,
! [B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[37301,31]) ).
thf(37343,plain,
! [B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[37342]) ).
thf(37344,plain,
s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[37343:[bind(A,$thf( s1 )),bind(B,$thf( s1 ))]]) ).
thf(37377,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[37344,17]) ).
thf(37378,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[37377]) ).
thf(37379,plain,
s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[37378:[bind(A,$thf( s1 )),bind(B,$thf( s1 )),bind(C,$thf( s1 )),bind(D,$thf( s0 )),bind(E,$thf( s0 )),bind(F,$thf( s0 )),bind(G,$thf( s0 )),bind(H,$thf( s0 )),bind(I,$thf( s0 ))]]) ).
thf(37425,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[37379,19]) ).
thf(37426,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[37425]) ).
thf(37427,plain,
s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[37426:[bind(A,$thf( s1 )),bind(B,$thf( s1 )),bind(C,$thf( s1 )),bind(D,$thf( s0 )),bind(E,$thf( s0 )),bind(F,$thf( s0 )),bind(G,$thf( s0 )),bind(H,$thf( s0 ))]]) ).
thf(37456,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[37427,17]) ).
thf(37457,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[37456]) ).
thf(37458,plain,
s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[37457:[bind(A,$thf( s1 )),bind(B,$thf( s1 )),bind(C,$thf( s1 )),bind(D,$thf( s0 )),bind(E,$thf( s0 )),bind(F,$thf( s0 )),bind(G,$thf( s0 )),bind(H,$thf( s0 )),bind(I,$thf( s1 ))]]) ).
thf(37493,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s0 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s1 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[37458,21]) ).
thf(37494,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s0 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s1 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[37493]) ).
thf(37495,plain,
s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[37494:[bind(A,$thf( s1 )),bind(B,$thf( s1 )),bind(C,$thf( s1 )),bind(D,$thf( s0 )),bind(E,$thf( s0 )),bind(F,$thf( s0 )),bind(G,$thf( s0 ))]]) ).
thf(37534,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[37495,17]) ).
thf(37535,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[37534]) ).
thf(37536,plain,
s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[37535:[bind(A,$thf( s1 )),bind(B,$thf( s1 )),bind(C,$thf( s1 )),bind(D,$thf( s0 )),bind(E,$thf( s0 )),bind(F,$thf( s0 )),bind(G,$thf( s0 )),bind(H,$thf( s1 )),bind(I,$thf( s0 ))]]) ).
thf(37583,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[37536,19]) ).
thf(37584,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[37583]) ).
thf(37585,plain,
s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[37584:[bind(A,$thf( s1 )),bind(B,$thf( s1 )),bind(C,$thf( s1 )),bind(D,$thf( s0 )),bind(E,$thf( s0 )),bind(F,$thf( s0 )),bind(G,$thf( s0 )),bind(H,$thf( s1 ))]]) ).
thf(37614,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[37585,17]) ).
thf(37615,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[37614]) ).
thf(37616,plain,
s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[37615:[bind(A,$thf( s1 )),bind(B,$thf( s1 )),bind(C,$thf( s1 )),bind(D,$thf( s0 )),bind(E,$thf( s0 )),bind(F,$thf( s0 )),bind(G,$thf( s0 )),bind(H,$thf( s1 )),bind(I,$thf( s1 ))]]) ).
thf(37659,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[37616,23]) ).
thf(37660,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[37659]) ).
thf(37661,plain,
s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[37660:[bind(A,$thf( s1 )),bind(B,$thf( s1 )),bind(C,$thf( s1 )),bind(D,$thf( s0 )),bind(E,$thf( s0 )),bind(F,$thf( s0 ))]]) ).
thf(37693,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[37661,17]) ).
thf(37694,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[37693]) ).
thf(37695,plain,
s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[37694:[bind(A,$thf( s1 )),bind(B,$thf( s1 )),bind(C,$thf( s1 )),bind(D,$thf( s0 )),bind(E,$thf( s0 )),bind(F,$thf( s0 )),bind(G,$thf( s1 )),bind(H,$thf( s0 )),bind(I,$thf( s0 ))]]) ).
thf(37740,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[37695,19]) ).
thf(37741,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[37740]) ).
thf(37742,plain,
s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[37741:[bind(A,$thf( s1 )),bind(B,$thf( s1 )),bind(C,$thf( s1 )),bind(D,$thf( s0 )),bind(E,$thf( s0 )),bind(F,$thf( s0 )),bind(G,$thf( s1 )),bind(H,$thf( s0 ))]]) ).
thf(37771,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[37742,17]) ).
thf(37772,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[37771]) ).
thf(37773,plain,
s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[37772:[bind(A,$thf( s1 )),bind(B,$thf( s1 )),bind(C,$thf( s1 )),bind(D,$thf( s0 )),bind(E,$thf( s0 )),bind(F,$thf( s0 )),bind(G,$thf( s1 )),bind(H,$thf( s0 )),bind(I,$thf( s1 ))]]) ).
thf(37808,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s0 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s1 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[37773,21]) ).
thf(37809,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s0 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s1 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[37808]) ).
thf(37810,plain,
s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[37809:[bind(A,$thf( s1 )),bind(B,$thf( s1 )),bind(C,$thf( s1 )),bind(D,$thf( s0 )),bind(E,$thf( s0 )),bind(F,$thf( s0 )),bind(G,$thf( s1 ))]]) ).
thf(37851,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[37810,17]) ).
thf(37852,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[37851]) ).
thf(37853,plain,
s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[37852:[bind(A,$thf( s1 )),bind(B,$thf( s1 )),bind(C,$thf( s1 )),bind(D,$thf( s0 )),bind(E,$thf( s0 )),bind(F,$thf( s0 )),bind(G,$thf( s1 )),bind(H,$thf( s1 )),bind(I,$thf( s0 ))]]) ).
thf(37898,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[37853,19]) ).
thf(37899,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[37898]) ).
thf(37900,plain,
s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[37899:[bind(A,$thf( s1 )),bind(B,$thf( s1 )),bind(C,$thf( s1 )),bind(D,$thf( s0 )),bind(E,$thf( s0 )),bind(F,$thf( s0 )),bind(G,$thf( s1 )),bind(H,$thf( s1 ))]]) ).
thf(37929,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[37900,17]) ).
thf(37930,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[37929]) ).
thf(37931,plain,
s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[37930:[bind(A,$thf( s1 )),bind(B,$thf( s1 )),bind(C,$thf( s1 )),bind(D,$thf( s0 )),bind(E,$thf( s0 )),bind(F,$thf( s0 )),bind(G,$thf( s1 )),bind(H,$thf( s1 )),bind(I,$thf( s1 ))]]) ).
thf(37959,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[37931,25]) ).
thf(37960,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[37959]) ).
thf(37961,plain,
s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[37960:[bind(A,$thf( s1 )),bind(B,$thf( s1 )),bind(C,$thf( s1 )),bind(D,$thf( s0 )),bind(E,$thf( s0 ))]]) ).
thf(38008,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[37961,17]) ).
thf(38009,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[38008]) ).
thf(38010,plain,
s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[38009:[bind(A,$thf( s1 )),bind(B,$thf( s1 )),bind(C,$thf( s1 )),bind(D,$thf( s0 )),bind(E,$thf( s0 )),bind(F,$thf( s1 )),bind(G,$thf( s0 )),bind(H,$thf( s0 )),bind(I,$thf( s0 ))]]) ).
thf(38055,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[38010,19]) ).
thf(38056,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[38055]) ).
thf(38057,plain,
s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[38056:[bind(A,$thf( s1 )),bind(B,$thf( s1 )),bind(C,$thf( s1 )),bind(D,$thf( s0 )),bind(E,$thf( s0 )),bind(F,$thf( s1 )),bind(G,$thf( s0 )),bind(H,$thf( s0 ))]]) ).
thf(38086,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[38057,17]) ).
thf(38087,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[38086]) ).
thf(38088,plain,
s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[38087:[bind(A,$thf( s1 )),bind(B,$thf( s1 )),bind(C,$thf( s1 )),bind(D,$thf( s0 )),bind(E,$thf( s0 )),bind(F,$thf( s1 )),bind(G,$thf( s0 )),bind(H,$thf( s0 )),bind(I,$thf( s1 ))]]) ).
thf(38125,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s0 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s1 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[38088,21]) ).
thf(38126,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s0 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s1 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[38125]) ).
thf(38127,plain,
s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[38126:[bind(A,$thf( s1 )),bind(B,$thf( s1 )),bind(C,$thf( s1 )),bind(D,$thf( s0 )),bind(E,$thf( s0 )),bind(F,$thf( s1 )),bind(G,$thf( s0 ))]]) ).
thf(38166,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[38127,17]) ).
thf(38167,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[38166]) ).
thf(38168,plain,
s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[38167:[bind(A,$thf( s1 )),bind(B,$thf( s1 )),bind(C,$thf( s1 )),bind(D,$thf( s0 )),bind(E,$thf( s0 )),bind(F,$thf( s1 )),bind(G,$thf( s0 )),bind(H,$thf( s1 )),bind(I,$thf( s0 ))]]) ).
thf(38213,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[38168,19]) ).
thf(38214,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[38213]) ).
thf(38215,plain,
s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[38214:[bind(A,$thf( s1 )),bind(B,$thf( s1 )),bind(C,$thf( s1 )),bind(D,$thf( s0 )),bind(E,$thf( s0 )),bind(F,$thf( s1 )),bind(G,$thf( s0 )),bind(H,$thf( s1 ))]]) ).
thf(38245,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[38215,17]) ).
thf(38246,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[38245]) ).
thf(38247,plain,
s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[38246:[bind(A,$thf( s1 )),bind(B,$thf( s1 )),bind(C,$thf( s1 )),bind(D,$thf( s0 )),bind(E,$thf( s0 )),bind(F,$thf( s1 )),bind(G,$thf( s0 )),bind(H,$thf( s1 )),bind(I,$thf( s1 ))]]) ).
thf(38290,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[38247,23]) ).
thf(38291,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[38290]) ).
thf(38292,plain,
s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[38291:[bind(A,$thf( s1 )),bind(B,$thf( s1 )),bind(C,$thf( s1 )),bind(D,$thf( s0 )),bind(E,$thf( s0 )),bind(F,$thf( s1 ))]]) ).
thf(38323,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[38292,17]) ).
thf(38324,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[38323]) ).
thf(38325,plain,
s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[38324:[bind(A,$thf( s1 )),bind(B,$thf( s1 )),bind(C,$thf( s1 )),bind(D,$thf( s0 )),bind(E,$thf( s0 )),bind(F,$thf( s1 )),bind(G,$thf( s1 )),bind(H,$thf( s0 )),bind(I,$thf( s0 ))]]) ).
thf(38370,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[38325,19]) ).
thf(38371,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[38370]) ).
thf(38372,plain,
s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[38371:[bind(A,$thf( s1 )),bind(B,$thf( s1 )),bind(C,$thf( s1 )),bind(D,$thf( s0 )),bind(E,$thf( s0 )),bind(F,$thf( s1 )),bind(G,$thf( s1 )),bind(H,$thf( s0 ))]]) ).
thf(38403,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[38372,17]) ).
thf(38404,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[38403]) ).
thf(38405,plain,
s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[38404:[bind(A,$thf( s1 )),bind(B,$thf( s1 )),bind(C,$thf( s1 )),bind(D,$thf( s0 )),bind(E,$thf( s0 )),bind(F,$thf( s1 )),bind(G,$thf( s1 )),bind(H,$thf( s0 )),bind(I,$thf( s1 ))]]) ).
thf(38440,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s0 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s1 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[38405,21]) ).
thf(38441,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s0 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s1 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[38440]) ).
thf(38442,plain,
s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[38441:[bind(A,$thf( s1 )),bind(B,$thf( s1 )),bind(C,$thf( s1 )),bind(D,$thf( s0 )),bind(E,$thf( s0 )),bind(F,$thf( s1 )),bind(G,$thf( s1 ))]]) ).
thf(38481,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[38442,17]) ).
thf(38482,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[38481]) ).
thf(38483,plain,
s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[38482:[bind(A,$thf( s1 )),bind(B,$thf( s1 )),bind(C,$thf( s1 )),bind(D,$thf( s0 )),bind(E,$thf( s0 )),bind(F,$thf( s1 )),bind(G,$thf( s1 )),bind(H,$thf( s1 )),bind(I,$thf( s0 ))]]) ).
thf(38529,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[38483,19]) ).
thf(38530,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[38529]) ).
thf(38531,plain,
s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[38530:[bind(A,$thf( s1 )),bind(B,$thf( s1 )),bind(C,$thf( s1 )),bind(D,$thf( s0 )),bind(E,$thf( s0 )),bind(F,$thf( s1 )),bind(G,$thf( s1 )),bind(H,$thf( s1 ))]]) ).
thf(38560,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[38531,17]) ).
thf(38561,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[38560]) ).
thf(38562,plain,
s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[38561:[bind(A,$thf( s1 )),bind(B,$thf( s1 )),bind(C,$thf( s1 )),bind(D,$thf( s0 )),bind(E,$thf( s0 )),bind(F,$thf( s1 )),bind(G,$thf( s1 )),bind(H,$thf( s1 )),bind(I,$thf( s1 ))]]) ).
thf(38601,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[38562,27]) ).
thf(38602,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[38601]) ).
thf(38603,plain,
s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[38602:[bind(A,$thf( s1 )),bind(B,$thf( s1 )),bind(C,$thf( s1 )),bind(D,$thf( s0 ))]]) ).
thf(38638,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[38603,17]) ).
thf(38639,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[38638]) ).
thf(38640,plain,
s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[38639:[bind(A,$thf( s1 )),bind(B,$thf( s1 )),bind(C,$thf( s1 )),bind(D,$thf( s0 )),bind(E,$thf( s1 )),bind(F,$thf( s0 )),bind(G,$thf( s0 )),bind(H,$thf( s0 )),bind(I,$thf( s0 ))]]) ).
thf(38687,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[38640,19]) ).
thf(38688,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[38687]) ).
thf(38689,plain,
s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[38688:[bind(A,$thf( s1 )),bind(B,$thf( s1 )),bind(C,$thf( s1 )),bind(D,$thf( s0 )),bind(E,$thf( s1 )),bind(F,$thf( s0 )),bind(G,$thf( s0 )),bind(H,$thf( s0 ))]]) ).
thf(38718,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[38689,17]) ).
thf(38719,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[38718]) ).
thf(38720,plain,
s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[38719:[bind(A,$thf( s1 )),bind(B,$thf( s1 )),bind(C,$thf( s1 )),bind(D,$thf( s0 )),bind(E,$thf( s1 )),bind(F,$thf( s0 )),bind(G,$thf( s0 )),bind(H,$thf( s0 )),bind(I,$thf( s1 ))]]) ).
thf(38755,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s0 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s1 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[38720,21]) ).
thf(38756,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s0 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s1 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[38755]) ).
thf(38757,plain,
s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[38756:[bind(A,$thf( s1 )),bind(B,$thf( s1 )),bind(C,$thf( s1 )),bind(D,$thf( s0 )),bind(E,$thf( s1 )),bind(F,$thf( s0 )),bind(G,$thf( s0 ))]]) ).
thf(38797,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[38757,17]) ).
thf(38798,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[38797]) ).
thf(38799,plain,
s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[38798:[bind(A,$thf( s1 )),bind(B,$thf( s1 )),bind(C,$thf( s1 )),bind(D,$thf( s0 )),bind(E,$thf( s1 )),bind(F,$thf( s0 )),bind(G,$thf( s0 )),bind(H,$thf( s1 )),bind(I,$thf( s0 ))]]) ).
thf(38844,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[38799,19]) ).
thf(38845,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[38844]) ).
thf(38846,plain,
s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[38845:[bind(A,$thf( s1 )),bind(B,$thf( s1 )),bind(C,$thf( s1 )),bind(D,$thf( s0 )),bind(E,$thf( s1 )),bind(F,$thf( s0 )),bind(G,$thf( s0 )),bind(H,$thf( s1 ))]]) ).
thf(38875,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[38846,17]) ).
thf(38876,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[38875]) ).
thf(38877,plain,
s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[38876:[bind(A,$thf( s1 )),bind(B,$thf( s1 )),bind(C,$thf( s1 )),bind(D,$thf( s0 )),bind(E,$thf( s1 )),bind(F,$thf( s0 )),bind(G,$thf( s0 )),bind(H,$thf( s1 )),bind(I,$thf( s1 ))]]) ).
thf(38920,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[38877,23]) ).
thf(38921,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[38920]) ).
thf(38922,plain,
s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[38921:[bind(A,$thf( s1 )),bind(B,$thf( s1 )),bind(C,$thf( s1 )),bind(D,$thf( s0 )),bind(E,$thf( s1 )),bind(F,$thf( s0 ))]]) ).
thf(38955,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[38922,17]) ).
thf(38956,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[38955]) ).
thf(38957,plain,
s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[38956:[bind(A,$thf( s1 )),bind(B,$thf( s1 )),bind(C,$thf( s1 )),bind(D,$thf( s0 )),bind(E,$thf( s1 )),bind(F,$thf( s0 )),bind(G,$thf( s1 )),bind(H,$thf( s0 )),bind(I,$thf( s0 ))]]) ).
thf(39002,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[38957,19]) ).
thf(39003,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[39002]) ).
thf(39004,plain,
s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[39003:[bind(A,$thf( s1 )),bind(B,$thf( s1 )),bind(C,$thf( s1 )),bind(D,$thf( s0 )),bind(E,$thf( s1 )),bind(F,$thf( s0 )),bind(G,$thf( s1 )),bind(H,$thf( s0 ))]]) ).
thf(39033,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[39004,17]) ).
thf(39034,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[39033]) ).
thf(39035,plain,
s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[39034:[bind(A,$thf( s1 )),bind(B,$thf( s1 )),bind(C,$thf( s1 )),bind(D,$thf( s0 )),bind(E,$thf( s1 )),bind(F,$thf( s0 )),bind(G,$thf( s1 )),bind(H,$thf( s0 )),bind(I,$thf( s1 ))]]) ).
thf(39071,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s0 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s1 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[39035,21]) ).
thf(39072,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s0 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s1 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[39071]) ).
thf(39073,plain,
s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[39072:[bind(A,$thf( s1 )),bind(B,$thf( s1 )),bind(C,$thf( s1 )),bind(D,$thf( s0 )),bind(E,$thf( s1 )),bind(F,$thf( s0 )),bind(G,$thf( s1 ))]]) ).
thf(39112,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[39073,17]) ).
thf(39113,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[39112]) ).
thf(39114,plain,
s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[39113:[bind(A,$thf( s1 )),bind(B,$thf( s1 )),bind(C,$thf( s1 )),bind(D,$thf( s0 )),bind(E,$thf( s1 )),bind(F,$thf( s0 )),bind(G,$thf( s1 )),bind(H,$thf( s1 )),bind(I,$thf( s0 ))]]) ).
thf(39159,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[39114,19]) ).
thf(39160,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[39159]) ).
thf(39161,plain,
s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[39160:[bind(A,$thf( s1 )),bind(B,$thf( s1 )),bind(C,$thf( s1 )),bind(D,$thf( s0 )),bind(E,$thf( s1 )),bind(F,$thf( s0 )),bind(G,$thf( s1 )),bind(H,$thf( s1 ))]]) ).
thf(39190,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[39161,17]) ).
thf(39191,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[39190]) ).
thf(39192,plain,
s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[39191:[bind(A,$thf( s1 )),bind(B,$thf( s1 )),bind(C,$thf( s1 )),bind(D,$thf( s0 )),bind(E,$thf( s1 )),bind(F,$thf( s0 )),bind(G,$thf( s1 )),bind(H,$thf( s1 )),bind(I,$thf( s1 ))]]) ).
thf(39221,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[39192,25]) ).
thf(39222,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[39221]) ).
thf(39223,plain,
s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[39222:[bind(A,$thf( s1 )),bind(B,$thf( s1 )),bind(C,$thf( s1 )),bind(D,$thf( s0 )),bind(E,$thf( s1 ))]]) ).
thf(39270,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[39223,17]) ).
thf(39271,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[39270]) ).
thf(39272,plain,
s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[39271:[bind(A,$thf( s1 )),bind(B,$thf( s1 )),bind(C,$thf( s1 )),bind(D,$thf( s0 )),bind(E,$thf( s1 )),bind(F,$thf( s1 )),bind(G,$thf( s0 )),bind(H,$thf( s0 )),bind(I,$thf( s0 ))]]) ).
thf(39317,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[39272,19]) ).
thf(39318,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[39317]) ).
thf(39319,plain,
s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[39318:[bind(A,$thf( s1 )),bind(B,$thf( s1 )),bind(C,$thf( s1 )),bind(D,$thf( s0 )),bind(E,$thf( s1 )),bind(F,$thf( s1 )),bind(G,$thf( s0 )),bind(H,$thf( s0 ))]]) ).
thf(39349,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[39319,17]) ).
thf(39350,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[39349]) ).
thf(39351,plain,
s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[39350:[bind(A,$thf( s1 )),bind(B,$thf( s1 )),bind(C,$thf( s1 )),bind(D,$thf( s0 )),bind(E,$thf( s1 )),bind(F,$thf( s1 )),bind(G,$thf( s0 )),bind(H,$thf( s0 )),bind(I,$thf( s1 ))]]) ).
thf(39386,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s0 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s1 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[39351,21]) ).
thf(39387,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s0 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s1 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[39386]) ).
thf(39388,plain,
s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[39387:[bind(A,$thf( s1 )),bind(B,$thf( s1 )),bind(C,$thf( s1 )),bind(D,$thf( s0 )),bind(E,$thf( s1 )),bind(F,$thf( s1 )),bind(G,$thf( s0 ))]]) ).
thf(39427,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[39388,17]) ).
thf(39428,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[39427]) ).
thf(39429,plain,
s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[39428:[bind(A,$thf( s1 )),bind(B,$thf( s1 )),bind(C,$thf( s1 )),bind(D,$thf( s0 )),bind(E,$thf( s1 )),bind(F,$thf( s1 )),bind(G,$thf( s0 )),bind(H,$thf( s1 )),bind(I,$thf( s0 ))]]) ).
thf(39474,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[39429,19]) ).
thf(39475,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[39474]) ).
thf(39476,plain,
s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[39475:[bind(A,$thf( s1 )),bind(B,$thf( s1 )),bind(C,$thf( s1 )),bind(D,$thf( s0 )),bind(E,$thf( s1 )),bind(F,$thf( s1 )),bind(G,$thf( s0 )),bind(H,$thf( s1 ))]]) ).
thf(39507,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[39476,17]) ).
thf(39508,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[39507]) ).
thf(39509,plain,
s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[39508:[bind(A,$thf( s1 )),bind(B,$thf( s1 )),bind(C,$thf( s1 )),bind(D,$thf( s0 )),bind(E,$thf( s1 )),bind(F,$thf( s1 )),bind(G,$thf( s0 )),bind(H,$thf( s1 )),bind(I,$thf( s1 ))]]) ).
thf(39552,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[39509,23]) ).
thf(39553,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[39552]) ).
thf(39554,plain,
s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[39553:[bind(A,$thf( s1 )),bind(B,$thf( s1 )),bind(C,$thf( s1 )),bind(D,$thf( s0 )),bind(E,$thf( s1 )),bind(F,$thf( s1 ))]]) ).
thf(39585,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[39554,17]) ).
thf(39586,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[39585]) ).
thf(39587,plain,
s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[39586:[bind(A,$thf( s1 )),bind(B,$thf( s1 )),bind(C,$thf( s1 )),bind(D,$thf( s0 )),bind(E,$thf( s1 )),bind(F,$thf( s1 )),bind(G,$thf( s1 )),bind(H,$thf( s0 )),bind(I,$thf( s0 ))]]) ).
thf(39633,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[39587,19]) ).
thf(39634,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[39633]) ).
thf(39635,plain,
s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[39634:[bind(A,$thf( s1 )),bind(B,$thf( s1 )),bind(C,$thf( s1 )),bind(D,$thf( s0 )),bind(E,$thf( s1 )),bind(F,$thf( s1 )),bind(G,$thf( s1 )),bind(H,$thf( s0 ))]]) ).
thf(39664,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[39635,17]) ).
thf(39665,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[39664]) ).
thf(39666,plain,
s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[39665:[bind(A,$thf( s1 )),bind(B,$thf( s1 )),bind(C,$thf( s1 )),bind(D,$thf( s0 )),bind(E,$thf( s1 )),bind(F,$thf( s1 )),bind(G,$thf( s1 )),bind(H,$thf( s0 )),bind(I,$thf( s1 ))]]) ).
thf(39701,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s0 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s1 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[39666,21]) ).
thf(39702,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s0 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s1 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[39701]) ).
thf(39703,plain,
s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[39702:[bind(A,$thf( s1 )),bind(B,$thf( s1 )),bind(C,$thf( s1 )),bind(D,$thf( s0 )),bind(E,$thf( s1 )),bind(F,$thf( s1 )),bind(G,$thf( s1 ))]]) ).
thf(39742,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[39703,17]) ).
thf(39743,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[39742]) ).
thf(39744,plain,
s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[39743:[bind(A,$thf( s1 )),bind(B,$thf( s1 )),bind(C,$thf( s1 )),bind(D,$thf( s0 )),bind(E,$thf( s1 )),bind(F,$thf( s1 )),bind(G,$thf( s1 )),bind(H,$thf( s1 )),bind(I,$thf( s0 ))]]) ).
thf(39791,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[39744,19]) ).
thf(39792,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[39791]) ).
thf(39793,plain,
s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[39792:[bind(A,$thf( s1 )),bind(B,$thf( s1 )),bind(C,$thf( s1 )),bind(D,$thf( s0 )),bind(E,$thf( s1 )),bind(F,$thf( s1 )),bind(G,$thf( s1 )),bind(H,$thf( s1 ))]]) ).
thf(39822,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[39793,17]) ).
thf(39823,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[39822]) ).
thf(39824,plain,
s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[39823:[bind(A,$thf( s1 )),bind(B,$thf( s1 )),bind(C,$thf( s1 )),bind(D,$thf( s0 )),bind(E,$thf( s1 )),bind(F,$thf( s1 )),bind(G,$thf( s1 )),bind(H,$thf( s1 )),bind(I,$thf( s1 ))]]) ).
thf(39855,plain,
! [C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[39824,29]) ).
thf(39856,plain,
! [C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[39855]) ).
thf(39857,plain,
s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[39856:[bind(A,$thf( s1 )),bind(B,$thf( s1 )),bind(C,$thf( s1 ))]]) ).
thf(39901,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[39857,17]) ).
thf(39902,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[39901]) ).
thf(39903,plain,
s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[39902:[bind(A,$thf( s1 )),bind(B,$thf( s1 )),bind(C,$thf( s1 )),bind(D,$thf( s1 )),bind(E,$thf( s0 )),bind(F,$thf( s0 )),bind(G,$thf( s0 )),bind(H,$thf( s0 )),bind(I,$thf( s0 ))]]) ).
thf(39948,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[39903,19]) ).
thf(39949,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[39948]) ).
thf(39950,plain,
s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[39949:[bind(A,$thf( s1 )),bind(B,$thf( s1 )),bind(C,$thf( s1 )),bind(D,$thf( s1 )),bind(E,$thf( s0 )),bind(F,$thf( s0 )),bind(G,$thf( s0 )),bind(H,$thf( s0 ))]]) ).
thf(39979,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[39950,17]) ).
thf(39980,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[39979]) ).
thf(39981,plain,
s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[39980:[bind(A,$thf( s1 )),bind(B,$thf( s1 )),bind(C,$thf( s1 )),bind(D,$thf( s1 )),bind(E,$thf( s0 )),bind(F,$thf( s0 )),bind(G,$thf( s0 )),bind(H,$thf( s0 )),bind(I,$thf( s1 ))]]) ).
thf(40016,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s0 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s1 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[39981,21]) ).
thf(40017,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s0 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s1 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[40016]) ).
thf(40018,plain,
s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[40017:[bind(A,$thf( s1 )),bind(B,$thf( s1 )),bind(C,$thf( s1 )),bind(D,$thf( s1 )),bind(E,$thf( s0 )),bind(F,$thf( s0 )),bind(G,$thf( s0 ))]]) ).
thf(40059,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[40018,17]) ).
thf(40060,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[40059]) ).
thf(40061,plain,
s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[40060:[bind(A,$thf( s1 )),bind(B,$thf( s1 )),bind(C,$thf( s1 )),bind(D,$thf( s1 )),bind(E,$thf( s0 )),bind(F,$thf( s0 )),bind(G,$thf( s0 )),bind(H,$thf( s1 )),bind(I,$thf( s0 ))]]) ).
thf(40106,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[40061,19]) ).
thf(40107,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[40106]) ).
thf(40108,plain,
s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[40107:[bind(A,$thf( s1 )),bind(B,$thf( s1 )),bind(C,$thf( s1 )),bind(D,$thf( s1 )),bind(E,$thf( s0 )),bind(F,$thf( s0 )),bind(G,$thf( s0 )),bind(H,$thf( s1 ))]]) ).
thf(40137,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[40108,17]) ).
thf(40138,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[40137]) ).
thf(40139,plain,
s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[40138:[bind(A,$thf( s1 )),bind(B,$thf( s1 )),bind(C,$thf( s1 )),bind(D,$thf( s1 )),bind(E,$thf( s0 )),bind(F,$thf( s0 )),bind(G,$thf( s0 )),bind(H,$thf( s1 )),bind(I,$thf( s1 ))]]) ).
thf(40183,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[40139,23]) ).
thf(40184,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[40183]) ).
thf(40185,plain,
s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[40184:[bind(A,$thf( s1 )),bind(B,$thf( s1 )),bind(C,$thf( s1 )),bind(D,$thf( s1 )),bind(E,$thf( s0 )),bind(F,$thf( s0 ))]]) ).
thf(40216,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[40185,17]) ).
thf(40217,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[40216]) ).
thf(40218,plain,
s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[40217:[bind(A,$thf( s1 )),bind(B,$thf( s1 )),bind(C,$thf( s1 )),bind(D,$thf( s1 )),bind(E,$thf( s0 )),bind(F,$thf( s0 )),bind(G,$thf( s1 )),bind(H,$thf( s0 )),bind(I,$thf( s0 ))]]) ).
thf(40263,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[40218,19]) ).
thf(40264,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[40263]) ).
thf(40265,plain,
s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[40264:[bind(A,$thf( s1 )),bind(B,$thf( s1 )),bind(C,$thf( s1 )),bind(D,$thf( s1 )),bind(E,$thf( s0 )),bind(F,$thf( s0 )),bind(G,$thf( s1 )),bind(H,$thf( s0 ))]]) ).
thf(40294,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[40265,17]) ).
thf(40295,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[40294]) ).
thf(40296,plain,
s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[40295:[bind(A,$thf( s1 )),bind(B,$thf( s1 )),bind(C,$thf( s1 )),bind(D,$thf( s1 )),bind(E,$thf( s0 )),bind(F,$thf( s0 )),bind(G,$thf( s1 )),bind(H,$thf( s0 )),bind(I,$thf( s1 ))]]) ).
thf(40333,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s0 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s1 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[40296,21]) ).
thf(40334,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s0 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s1 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[40333]) ).
thf(40335,plain,
s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[40334:[bind(A,$thf( s1 )),bind(B,$thf( s1 )),bind(C,$thf( s1 )),bind(D,$thf( s1 )),bind(E,$thf( s0 )),bind(F,$thf( s0 )),bind(G,$thf( s1 ))]]) ).
thf(40374,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[40335,17]) ).
thf(40375,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[40374]) ).
thf(40376,plain,
s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[40375:[bind(A,$thf( s1 )),bind(B,$thf( s1 )),bind(C,$thf( s1 )),bind(D,$thf( s1 )),bind(E,$thf( s0 )),bind(F,$thf( s0 )),bind(G,$thf( s1 )),bind(H,$thf( s1 )),bind(I,$thf( s0 ))]]) ).
thf(40421,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[40376,19]) ).
thf(40422,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[40421]) ).
thf(40423,plain,
s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[40422:[bind(A,$thf( s1 )),bind(B,$thf( s1 )),bind(C,$thf( s1 )),bind(D,$thf( s1 )),bind(E,$thf( s0 )),bind(F,$thf( s0 )),bind(G,$thf( s1 )),bind(H,$thf( s1 ))]]) ).
thf(40453,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[40423,17]) ).
thf(40454,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[40453]) ).
thf(40455,plain,
s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[40454:[bind(A,$thf( s1 )),bind(B,$thf( s1 )),bind(C,$thf( s1 )),bind(D,$thf( s1 )),bind(E,$thf( s0 )),bind(F,$thf( s0 )),bind(G,$thf( s1 )),bind(H,$thf( s1 )),bind(I,$thf( s1 ))]]) ).
thf(40482,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[40455,25]) ).
thf(40483,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[40482]) ).
thf(40484,plain,
s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[40483:[bind(A,$thf( s1 )),bind(B,$thf( s1 )),bind(C,$thf( s1 )),bind(D,$thf( s1 )),bind(E,$thf( s0 ))]]) ).
thf(40531,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[40484,17]) ).
thf(40532,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[40531]) ).
thf(40533,plain,
s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[40532:[bind(A,$thf( s1 )),bind(B,$thf( s1 )),bind(C,$thf( s1 )),bind(D,$thf( s1 )),bind(E,$thf( s0 )),bind(F,$thf( s1 )),bind(G,$thf( s0 )),bind(H,$thf( s0 )),bind(I,$thf( s0 ))]]) ).
thf(40578,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[40533,19]) ).
thf(40579,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[40578]) ).
thf(40580,plain,
s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[40579:[bind(A,$thf( s1 )),bind(B,$thf( s1 )),bind(C,$thf( s1 )),bind(D,$thf( s1 )),bind(E,$thf( s0 )),bind(F,$thf( s1 )),bind(G,$thf( s0 )),bind(H,$thf( s0 ))]]) ).
thf(40611,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[40580,17]) ).
thf(40612,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[40611]) ).
thf(40613,plain,
s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[40612:[bind(A,$thf( s1 )),bind(B,$thf( s1 )),bind(C,$thf( s1 )),bind(D,$thf( s1 )),bind(E,$thf( s0 )),bind(F,$thf( s1 )),bind(G,$thf( s0 )),bind(H,$thf( s0 )),bind(I,$thf( s1 ))]]) ).
thf(40648,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s0 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s1 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[40613,21]) ).
thf(40649,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s0 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s1 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[40648]) ).
thf(40650,plain,
s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[40649:[bind(A,$thf( s1 )),bind(B,$thf( s1 )),bind(C,$thf( s1 )),bind(D,$thf( s1 )),bind(E,$thf( s0 )),bind(F,$thf( s1 )),bind(G,$thf( s0 ))]]) ).
thf(40689,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[40650,17]) ).
thf(40690,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[40689]) ).
thf(40691,plain,
s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[40690:[bind(A,$thf( s1 )),bind(B,$thf( s1 )),bind(C,$thf( s1 )),bind(D,$thf( s1 )),bind(E,$thf( s0 )),bind(F,$thf( s1 )),bind(G,$thf( s0 )),bind(H,$thf( s1 )),bind(I,$thf( s0 ))]]) ).
thf(40737,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[40691,19]) ).
thf(40738,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[40737]) ).
thf(40739,plain,
s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[40738:[bind(A,$thf( s1 )),bind(B,$thf( s1 )),bind(C,$thf( s1 )),bind(D,$thf( s1 )),bind(E,$thf( s0 )),bind(F,$thf( s1 )),bind(G,$thf( s0 )),bind(H,$thf( s1 ))]]) ).
thf(40768,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[40739,17]) ).
thf(40769,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[40768]) ).
thf(40770,plain,
s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[40769:[bind(A,$thf( s1 )),bind(B,$thf( s1 )),bind(C,$thf( s1 )),bind(D,$thf( s1 )),bind(E,$thf( s0 )),bind(F,$thf( s1 )),bind(G,$thf( s0 )),bind(H,$thf( s1 )),bind(I,$thf( s1 ))]]) ).
thf(40813,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[40770,23]) ).
thf(40814,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[40813]) ).
thf(40815,plain,
s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[40814:[bind(A,$thf( s1 )),bind(B,$thf( s1 )),bind(C,$thf( s1 )),bind(D,$thf( s1 )),bind(E,$thf( s0 )),bind(F,$thf( s1 ))]]) ).
thf(40846,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[40815,17]) ).
thf(40847,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[40846]) ).
thf(40848,plain,
s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[40847:[bind(A,$thf( s1 )),bind(B,$thf( s1 )),bind(C,$thf( s1 )),bind(D,$thf( s1 )),bind(E,$thf( s0 )),bind(F,$thf( s1 )),bind(G,$thf( s1 )),bind(H,$thf( s0 )),bind(I,$thf( s0 ))]]) ).
thf(40895,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[40848,19]) ).
thf(40896,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[40895]) ).
thf(40897,plain,
s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[40896:[bind(A,$thf( s1 )),bind(B,$thf( s1 )),bind(C,$thf( s1 )),bind(D,$thf( s1 )),bind(E,$thf( s0 )),bind(F,$thf( s1 )),bind(G,$thf( s1 )),bind(H,$thf( s0 ))]]) ).
thf(40926,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[40897,17]) ).
thf(40927,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[40926]) ).
thf(40928,plain,
s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[40927:[bind(A,$thf( s1 )),bind(B,$thf( s1 )),bind(C,$thf( s1 )),bind(D,$thf( s1 )),bind(E,$thf( s0 )),bind(F,$thf( s1 )),bind(G,$thf( s1 )),bind(H,$thf( s0 )),bind(I,$thf( s1 ))]]) ).
thf(40963,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s0 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s1 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[40928,21]) ).
thf(40964,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s0 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s1 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[40963]) ).
thf(40965,plain,
s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[40964:[bind(A,$thf( s1 )),bind(B,$thf( s1 )),bind(C,$thf( s1 )),bind(D,$thf( s1 )),bind(E,$thf( s0 )),bind(F,$thf( s1 )),bind(G,$thf( s1 ))]]) ).
thf(41005,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[40965,17]) ).
thf(41006,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[41005]) ).
thf(41007,plain,
s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[41006:[bind(A,$thf( s1 )),bind(B,$thf( s1 )),bind(C,$thf( s1 )),bind(D,$thf( s1 )),bind(E,$thf( s0 )),bind(F,$thf( s1 )),bind(G,$thf( s1 )),bind(H,$thf( s1 )),bind(I,$thf( s0 ))]]) ).
thf(41052,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[41007,19]) ).
thf(41053,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[41052]) ).
thf(41054,plain,
s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[41053:[bind(A,$thf( s1 )),bind(B,$thf( s1 )),bind(C,$thf( s1 )),bind(D,$thf( s1 )),bind(E,$thf( s0 )),bind(F,$thf( s1 )),bind(G,$thf( s1 )),bind(H,$thf( s1 ))]]) ).
thf(41083,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[41054,17]) ).
thf(41084,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[41083]) ).
thf(41085,plain,
s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[41084:[bind(A,$thf( s1 )),bind(B,$thf( s1 )),bind(C,$thf( s1 )),bind(D,$thf( s1 )),bind(E,$thf( s0 )),bind(F,$thf( s1 )),bind(G,$thf( s1 )),bind(H,$thf( s1 )),bind(I,$thf( s1 ))]]) ).
thf(41124,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[41085,27]) ).
thf(41125,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[41124]) ).
thf(41126,plain,
s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[41125:[bind(A,$thf( s1 )),bind(B,$thf( s1 )),bind(C,$thf( s1 )),bind(D,$thf( s1 ))]]) ).
thf(41163,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[41126,17]) ).
thf(41164,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[41163]) ).
thf(41165,plain,
s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[41164:[bind(A,$thf( s1 )),bind(B,$thf( s1 )),bind(C,$thf( s1 )),bind(D,$thf( s1 )),bind(E,$thf( s1 )),bind(F,$thf( s0 )),bind(G,$thf( s0 )),bind(H,$thf( s0 )),bind(I,$thf( s0 ))]]) ).
thf(41210,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[41165,19]) ).
thf(41211,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[41210]) ).
thf(41212,plain,
s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[41211:[bind(A,$thf( s1 )),bind(B,$thf( s1 )),bind(C,$thf( s1 )),bind(D,$thf( s1 )),bind(E,$thf( s1 )),bind(F,$thf( s0 )),bind(G,$thf( s0 )),bind(H,$thf( s0 ))]]) ).
thf(41241,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[41212,17]) ).
thf(41242,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[41241]) ).
thf(41243,plain,
s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[41242:[bind(A,$thf( s1 )),bind(B,$thf( s1 )),bind(C,$thf( s1 )),bind(D,$thf( s1 )),bind(E,$thf( s1 )),bind(F,$thf( s0 )),bind(G,$thf( s0 )),bind(H,$thf( s0 )),bind(I,$thf( s1 ))]]) ).
thf(41279,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s0 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s1 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[41243,21]) ).
thf(41280,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s0 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s1 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[41279]) ).
thf(41281,plain,
s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[41280:[bind(A,$thf( s1 )),bind(B,$thf( s1 )),bind(C,$thf( s1 )),bind(D,$thf( s1 )),bind(E,$thf( s1 )),bind(F,$thf( s0 )),bind(G,$thf( s0 ))]]) ).
thf(41320,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[41281,17]) ).
thf(41321,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[41320]) ).
thf(41322,plain,
s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[41321:[bind(A,$thf( s1 )),bind(B,$thf( s1 )),bind(C,$thf( s1 )),bind(D,$thf( s1 )),bind(E,$thf( s1 )),bind(F,$thf( s0 )),bind(G,$thf( s0 )),bind(H,$thf( s1 )),bind(I,$thf( s0 ))]]) ).
thf(41367,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[41322,19]) ).
thf(41368,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[41367]) ).
thf(41369,plain,
s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[41368:[bind(A,$thf( s1 )),bind(B,$thf( s1 )),bind(C,$thf( s1 )),bind(D,$thf( s1 )),bind(E,$thf( s1 )),bind(F,$thf( s0 )),bind(G,$thf( s0 )),bind(H,$thf( s1 ))]]) ).
thf(41398,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[41369,17]) ).
thf(41399,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[41398]) ).
thf(41400,plain,
s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[41399:[bind(A,$thf( s1 )),bind(B,$thf( s1 )),bind(C,$thf( s1 )),bind(D,$thf( s1 )),bind(E,$thf( s1 )),bind(F,$thf( s0 )),bind(G,$thf( s0 )),bind(H,$thf( s1 )),bind(I,$thf( s1 ))]]) ).
thf(41445,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[41400,23]) ).
thf(41446,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[41445]) ).
thf(41447,plain,
s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[41446:[bind(A,$thf( s1 )),bind(B,$thf( s1 )),bind(C,$thf( s1 )),bind(D,$thf( s1 )),bind(E,$thf( s1 )),bind(F,$thf( s0 ))]]) ).
thf(41478,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[41447,17]) ).
thf(41479,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[41478]) ).
thf(41480,plain,
s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[41479:[bind(A,$thf( s1 )),bind(B,$thf( s1 )),bind(C,$thf( s1 )),bind(D,$thf( s1 )),bind(E,$thf( s1 )),bind(F,$thf( s0 )),bind(G,$thf( s1 )),bind(H,$thf( s0 )),bind(I,$thf( s0 ))]]) ).
thf(41525,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[41480,19]) ).
thf(41526,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[41525]) ).
thf(41527,plain,
s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[41526:[bind(A,$thf( s1 )),bind(B,$thf( s1 )),bind(C,$thf( s1 )),bind(D,$thf( s1 )),bind(E,$thf( s1 )),bind(F,$thf( s0 )),bind(G,$thf( s1 )),bind(H,$thf( s0 ))]]) ).
thf(41557,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[41527,17]) ).
thf(41558,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[41557]) ).
thf(41559,plain,
s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[41558:[bind(A,$thf( s1 )),bind(B,$thf( s1 )),bind(C,$thf( s1 )),bind(D,$thf( s1 )),bind(E,$thf( s1 )),bind(F,$thf( s0 )),bind(G,$thf( s1 )),bind(H,$thf( s0 )),bind(I,$thf( s1 ))]]) ).
thf(41594,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s0 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s1 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[41559,21]) ).
thf(41595,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s0 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s1 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[41594]) ).
thf(41596,plain,
s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[41595:[bind(A,$thf( s1 )),bind(B,$thf( s1 )),bind(C,$thf( s1 )),bind(D,$thf( s1 )),bind(E,$thf( s1 )),bind(F,$thf( s0 )),bind(G,$thf( s1 ))]]) ).
thf(41635,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[41596,17]) ).
thf(41636,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[41635]) ).
thf(41637,plain,
s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[41636:[bind(A,$thf( s1 )),bind(B,$thf( s1 )),bind(C,$thf( s1 )),bind(D,$thf( s1 )),bind(E,$thf( s1 )),bind(F,$thf( s0 )),bind(G,$thf( s1 )),bind(H,$thf( s1 )),bind(I,$thf( s0 ))]]) ).
thf(41682,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[41637,19]) ).
thf(41683,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[41682]) ).
thf(41684,plain,
s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[41683:[bind(A,$thf( s1 )),bind(B,$thf( s1 )),bind(C,$thf( s1 )),bind(D,$thf( s1 )),bind(E,$thf( s1 )),bind(F,$thf( s0 )),bind(G,$thf( s1 )),bind(H,$thf( s1 ))]]) ).
thf(41715,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[41684,17]) ).
thf(41716,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[41715]) ).
thf(41717,plain,
s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[41716:[bind(A,$thf( s1 )),bind(B,$thf( s1 )),bind(C,$thf( s1 )),bind(D,$thf( s1 )),bind(E,$thf( s1 )),bind(F,$thf( s0 )),bind(G,$thf( s1 )),bind(H,$thf( s1 )),bind(I,$thf( s1 ))]]) ).
thf(41744,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[41717,25]) ).
thf(41745,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[41744]) ).
thf(41746,plain,
s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[41745:[bind(A,$thf( s1 )),bind(B,$thf( s1 )),bind(C,$thf( s1 )),bind(D,$thf( s1 )),bind(E,$thf( s1 ))]]) ).
thf(41793,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[41746,17]) ).
thf(41794,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[41793]) ).
thf(41795,plain,
s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[41794:[bind(A,$thf( s1 )),bind(B,$thf( s1 )),bind(C,$thf( s1 )),bind(D,$thf( s1 )),bind(E,$thf( s1 )),bind(F,$thf( s1 )),bind(G,$thf( s0 )),bind(H,$thf( s0 )),bind(I,$thf( s0 ))]]) ).
thf(41841,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[41795,19]) ).
thf(41842,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[41841]) ).
thf(41843,plain,
s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[41842:[bind(A,$thf( s1 )),bind(B,$thf( s1 )),bind(C,$thf( s1 )),bind(D,$thf( s1 )),bind(E,$thf( s1 )),bind(F,$thf( s1 )),bind(G,$thf( s0 )),bind(H,$thf( s0 ))]]) ).
thf(41872,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[41843,17]) ).
thf(41873,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[41872]) ).
thf(41874,plain,
s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[41873:[bind(A,$thf( s1 )),bind(B,$thf( s1 )),bind(C,$thf( s1 )),bind(D,$thf( s1 )),bind(E,$thf( s1 )),bind(F,$thf( s1 )),bind(G,$thf( s0 )),bind(H,$thf( s0 )),bind(I,$thf( s1 ))]]) ).
thf(41909,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s0 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s1 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[41874,21]) ).
thf(41910,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s0 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s1 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[41909]) ).
thf(41911,plain,
s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[41910:[bind(A,$thf( s1 )),bind(B,$thf( s1 )),bind(C,$thf( s1 )),bind(D,$thf( s1 )),bind(E,$thf( s1 )),bind(F,$thf( s1 )),bind(G,$thf( s0 ))]]) ).
thf(41950,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[41911,17]) ).
thf(41951,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[41950]) ).
thf(41952,plain,
s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[41951:[bind(A,$thf( s1 )),bind(B,$thf( s1 )),bind(C,$thf( s1 )),bind(D,$thf( s1 )),bind(E,$thf( s1 )),bind(F,$thf( s1 )),bind(G,$thf( s0 )),bind(H,$thf( s1 )),bind(I,$thf( s0 ))]]) ).
thf(41999,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[41952,19]) ).
thf(42000,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[41999]) ).
thf(42001,plain,
s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[42000:[bind(A,$thf( s1 )),bind(B,$thf( s1 )),bind(C,$thf( s1 )),bind(D,$thf( s1 )),bind(E,$thf( s1 )),bind(F,$thf( s1 )),bind(G,$thf( s0 )),bind(H,$thf( s1 ))]]) ).
thf(42030,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[42001,17]) ).
thf(42031,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[42030]) ).
thf(42032,plain,
s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[42031:[bind(A,$thf( s1 )),bind(B,$thf( s1 )),bind(C,$thf( s1 )),bind(D,$thf( s1 )),bind(E,$thf( s1 )),bind(F,$thf( s1 )),bind(G,$thf( s0 )),bind(H,$thf( s1 )),bind(I,$thf( s1 ))]]) ).
thf(42075,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[42032,23]) ).
thf(42076,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s1 @ ( s0 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[42075]) ).
thf(42077,plain,
s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[42076:[bind(A,$thf( s1 )),bind(B,$thf( s1 )),bind(C,$thf( s1 )),bind(D,$thf( s1 )),bind(E,$thf( s1 )),bind(F,$thf( s1 ))]]) ).
thf(42109,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[42077,17]) ).
thf(42110,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[42109]) ).
thf(42111,plain,
s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[42110:[bind(A,$thf( s1 )),bind(B,$thf( s1 )),bind(C,$thf( s1 )),bind(D,$thf( s1 )),bind(E,$thf( s1 )),bind(F,$thf( s1 )),bind(G,$thf( s1 )),bind(H,$thf( s0 )),bind(I,$thf( s0 ))]]) ).
thf(42156,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[42111,19]) ).
thf(42157,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[42156]) ).
thf(42158,plain,
s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[42157:[bind(A,$thf( s1 )),bind(B,$thf( s1 )),bind(C,$thf( s1 )),bind(D,$thf( s1 )),bind(E,$thf( s1 )),bind(F,$thf( s1 )),bind(G,$thf( s1 )),bind(H,$thf( s0 ))]]) ).
thf(42187,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[42158,17]) ).
thf(42188,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[42187]) ).
thf(42189,plain,
s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[42188:[bind(A,$thf( s1 )),bind(B,$thf( s1 )),bind(C,$thf( s1 )),bind(D,$thf( s1 )),bind(E,$thf( s1 )),bind(F,$thf( s1 )),bind(G,$thf( s1 )),bind(H,$thf( s0 )),bind(I,$thf( s1 ))]]) ).
thf(42224,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s0 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s1 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[42189,21]) ).
thf(42225,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s1 @ ( s0 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s0 @ ( s1 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[42224]) ).
thf(42226,plain,
s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[42225:[bind(A,$thf( s1 )),bind(B,$thf( s1 )),bind(C,$thf( s1 )),bind(D,$thf( s1 )),bind(E,$thf( s1 )),bind(F,$thf( s1 )),bind(G,$thf( s1 ))]]) ).
thf(42267,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[42226,17]) ).
thf(42268,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[42267]) ).
thf(42269,plain,
s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[42268:[bind(A,$thf( s1 )),bind(B,$thf( s1 )),bind(C,$thf( s1 )),bind(D,$thf( s1 )),bind(E,$thf( s1 )),bind(F,$thf( s1 )),bind(G,$thf( s1 )),bind(H,$thf( s1 )),bind(I,$thf( s0 ))]]) ).
thf(42314,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[42269,19]) ).
thf(42315,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s1 @ ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s1 @ ( s0 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s0 @ ( s1 @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[42314]) ).
thf(42316,plain,
s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[42315:[bind(A,$thf( s1 )),bind(B,$thf( s1 )),bind(C,$thf( s1 )),bind(D,$thf( s1 )),bind(E,$thf( s1 )),bind(F,$thf( s1 )),bind(G,$thf( s1 )),bind(H,$thf( s1 ))]]) ).
thf(42345,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[42316,17]) ).
thf(42346,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( s0 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) )
!= ( s0 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) )
| ( s1 @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ p ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[42345]) ).
thf(42347,plain,
s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[42346:[bind(A,$thf( s1 )),bind(B,$thf( s1 )),bind(C,$thf( s1 )),bind(D,$thf( s1 )),bind(E,$thf( s1 )),bind(F,$thf( s1 )),bind(G,$thf( s1 )),bind(H,$thf( s1 )),bind(I,$thf( s1 ))]]) ).
thf(1,negated_conjecture,
~ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goal) ).
thf(13,plain,
~ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(14,plain,
~ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ ( s1 @ p ) ) ) ) ) ) ) ) ) ),
inference(polarity_switch,[status(thm)],[13]) ).
thf(42375,plain,
$false,
inference(rewrite,[status(thm)],[42347,14]) ).
thf(42376,plain,
$false,
inference(simp,[status(thm)],[42375]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : MSC015-1.010 : TPTP v9.3.1. Released v3.5.0.
% 0.00/0.13 % 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
% 0.25/5.51 % Computer : n008.cluster.edu
% 0.25/5.51 % Model : x86_64 x86_64
% 0.25/5.51 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.25/5.51 % Memory : 8046.5625MB
% 0.25/5.51 % OS : Linux 6.8.0-71-generic
% 0.25/5.52 % CPULimit : 300
% 0.25/5.52 % WCLimit : 300
% 0.25/5.52 % DateTime : Sat Sep 26 00:16:47 UTC 2026
% 0.25/5.52 % CPUTime :
% 0.25/5.52 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
% 1.42/6.35 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.92/6.61 % [INFO] Parsing done (259ms).
% 1.92/6.63 % [INFO] Running in sequential loop mode.
% 2.87/7.22 % [INFO] eprover registered as external prover.
% 2.87/7.24 % [INFO] Scanning for conjecture ...
% 3.04/7.36 % [INFO] Found a conjecture (or negated_conjecture) and 11 axioms. Running axiom selection ...
% 3.21/7.40 % [INFO] Axiom selection finished. Selected 11 axioms (removed 0 axioms).
% 3.21/7.45 % [INFO] Problem is propositional (TPTP CNF).
% 3.21/7.45 % [INFO] Type checking passed.
% 3.21/7.46 % [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 ...
% 112.23/83.85 % [INFO] Killing All external provers ...
% 112.23/83.86 % Time passed: 78134ms (effective reasoning time: 77214ms)
% 112.23/83.87 % Axioms used in derivation (11): rule4, rule5, rule8, rule1, rule2, rule10, rule7, rule3, init, rule6, rule9
% 112.23/83.87 % No. of inferences in proof: 3105
% 112.23/83.87 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : 78134 ms resp. 77214 ms w/o parsing
% 114.37/84.47 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 114.37/84.48 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------