TSTP Solution File: SYN871-1 by Leo-III-SAT---1.7.12
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%------------------------------------------------------------------------------
% File : Leo-III-SAT---1.7.12
% Problem : SYN871-1 : TPTP v8.2.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n017.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 21 08:19:29 EDT 2024
% Result : Unsatisfiable 70.61s 12.52s
% Output : Refutation 71.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 84
% Number of leaves : 79
% Syntax : Number of formulae : 432 ( 38 unt; 42 typ; 0 def)
% Number of atoms : 3091 ( 40 equ; 0 cnn)
% Maximal formula atoms : 23 ( 7 avg)
% Number of connectives : 29596 (2639 ~;2621 |; 0 &;24336 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 72 ( 34 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 310 ( 310 >; 0 *; 0 +; 0 <<)
% Number of symbols : 45 ( 42 usr; 13 con; 0-19 aty)
% Number of variables : 5491 ( 0 ^5491 !; 0 ?;5491 :)
% Comments :
%------------------------------------------------------------------------------
thf(ssNder1_0_type,type,
ssNder1_0: $o ).
thf(ssNder1_1r1_type,type,
ssNder1_1r1: $i > $o ).
thf(ssNder1_2r1r1_type,type,
ssNder1_2r1r1: $i > $i > $o ).
thf(ssNder1_3r1r1r1_type,type,
ssNder1_3r1r1r1: $i > $i > $i > $o ).
thf(ssNder1_4r1r1r1r1_type,type,
ssNder1_4r1r1r1r1: $i > $i > $i > $i > $o ).
thf(ssNder1_5r1r1r1r1r1_type,type,
ssNder1_5r1r1r1r1r1: $i > $i > $i > $i > $i > $o ).
thf(ssPv15_6r1r1r1r1r1r1_type,type,
ssPv15_6r1r1r1r1r1r1: $i > $i > $i > $i > $i > $i > $o ).
thf(skc28_type,type,
skc28: $i ).
thf(ssNder1_6r1r1r1r1r1r1_type,type,
ssNder1_6r1r1r1r1r1r1: $i > $i > $i > $i > $i > $i > $o ).
thf(ssPv14_7r1r1r1r1r1r1r1_type,type,
ssPv14_7r1r1r1r1r1r1r1: $i > $i > $i > $i > $i > $i > $i > $o ).
thf(skc26_type,type,
skc26: $i ).
thf(ssNder1_7r1r1r1r1r1r1r1_type,type,
ssNder1_7r1r1r1r1r1r1r1: $i > $i > $i > $i > $i > $i > $i > $o ).
thf(ssPv13_8r1r1r1r1r1r1r1r1_type,type,
ssPv13_8r1r1r1r1r1r1r1r1: $i > $i > $i > $i > $i > $i > $i > $i > $o ).
thf(skc24_type,type,
skc24: $i ).
thf(ssNder1_8r1r1r1r1r1r1r1r1_type,type,
ssNder1_8r1r1r1r1r1r1r1r1: $i > $i > $i > $i > $i > $i > $i > $i > $o ).
thf(ssNder1_9r1r1r1r1r1r1r1r1r1_type,type,
ssNder1_9r1r1r1r1r1r1r1r1r1: $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).
thf(ssNder1_10r1r1r1r1r1r1r1r1r1r1_type,type,
ssNder1_10r1r1r1r1r1r1r1r1r1r1: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).
thf(ssPv19_2r1r1_type,type,
ssPv19_2r1r1: $i > $i > $o ).
thf(ssNder1_11r1r1r1r1r1r1r1r1r1r1r1_type,type,
ssNder1_11r1r1r1r1r1r1r1r1r1r1r1: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).
thf(ssPv11_10r1r1r1r1r1r1r1r1r1r1_type,type,
ssPv11_10r1r1r1r1r1r1r1r1r1r1: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).
thf(ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1_type,type,
ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).
thf(ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1_type,type,
ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).
thf(skc23_type,type,
skc23: $i ).
thf(ssPv10_11r1r1r1r1r1r1r1r1r1r1r1_type,type,
ssPv10_11r1r1r1r1r1r1r1r1r1r1r1: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).
thf(ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1_type,type,
ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).
thf(ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1_type,type,
ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).
thf(skc20_type,type,
skc20: $i ).
thf(skc21_type,type,
skc21: $i ).
thf(ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1_type,type,
ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).
thf(ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1_type,type,
ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).
thf(skc18_type,type,
skc18: $i ).
thf(skc19_type,type,
skc19: $i ).
thf(ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1_type,type,
ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).
thf(ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1_type,type,
ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).
thf(skc16_type,type,
skc16: $i ).
thf(skc17_type,type,
skc17: $i ).
thf(ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1_type,type,
ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).
thf(ssPv20_1r1_type,type,
ssPv20_1r1: $i > $o ).
thf(ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1_type,type,
ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).
thf(ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1_type,type,
ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).
thf(ssPv4_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1_type,type,
ssPv4_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).
thf(ssPv2_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1_type,type,
ssPv2_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).
thf(9,negated_conjecture,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssNder1_4r1r1r1r1 @ A @ B @ C @ D )
| ~ ( ssNder1_3r1r1r1 @ A @ B @ C )
| ~ ( ssNder1_2r1r1 @ A @ B )
| ~ ( ssNder1_1r1 @ A )
| ~ ssNder1_0
| ( ssPv15_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ skc28 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause9) ).
thf(78,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssNder1_4r1r1r1r1 @ A @ B @ C @ D )
| ~ ( ssNder1_3r1r1r1 @ A @ B @ C )
| ~ ( ssNder1_2r1r1 @ A @ B )
| ~ ( ssNder1_1r1 @ A )
| ~ ssNder1_0
| ( ssPv15_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ skc28 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(126,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssNder1_4r1r1r1r1 @ A @ B @ C @ D )
| ~ ( ssNder1_3r1r1r1 @ A @ B @ C )
| ~ ( ssNder1_2r1r1 @ A @ B )
| ~ ( ssNder1_1r1 @ A )
| ~ ssNder1_0
| ( ssPv15_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ skc28 ) ),
inference(cnf,[status(esa)],[78]) ).
thf(5,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssNder1_3r1r1r1 @ A @ B @ C )
| ~ ( ssNder1_2r1r1 @ A @ B )
| ~ ( ssNder1_1r1 @ A )
| ~ ssNder1_0
| ( ssNder1_4r1r1r1r1 @ A @ B @ C @ D ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause5) ).
thf(57,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssNder1_3r1r1r1 @ A @ B @ C )
| ~ ( ssNder1_2r1r1 @ A @ B )
| ~ ( ssNder1_1r1 @ A )
| ~ ssNder1_0
| ( ssNder1_4r1r1r1r1 @ A @ B @ C @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(125,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssNder1_3r1r1r1 @ A @ B @ C )
| ~ ( ssNder1_2r1r1 @ A @ B )
| ~ ( ssNder1_1r1 @ A )
| ~ ssNder1_0
| ( ssNder1_4r1r1r1r1 @ A @ B @ C @ D ) ),
inference(cnf,[status(esa)],[57]) ).
thf(2,negated_conjecture,
! [A: $i] :
( ~ ssNder1_0
| ( ssNder1_1r1 @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause2) ).
thf(60,plain,
! [A: $i] :
( ~ ssNder1_0
| ( ssNder1_1r1 @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(132,plain,
! [A: $i] :
( ~ ssNder1_0
| ( ssNder1_1r1 @ A ) ),
inference(cnf,[status(esa)],[60]) ).
thf(1,negated_conjecture,
ssNder1_0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause1) ).
thf(58,plain,
ssNder1_0,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(168,plain,
! [A: $i] :
( ~ $true
| ( ssNder1_1r1 @ A ) ),
inference(rewrite,[status(thm)],[132,58]) ).
thf(169,plain,
! [A: $i] : ( ssNder1_1r1 @ A ),
inference(simp,[status(thm)],[168]) ).
thf(3,negated_conjecture,
! [B: $i,A: $i] :
( ~ ( ssNder1_1r1 @ A )
| ~ ssNder1_0
| ( ssNder1_2r1r1 @ A @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause3) ).
thf(94,plain,
! [B: $i,A: $i] :
( ~ ( ssNder1_1r1 @ A )
| ~ ssNder1_0
| ( ssNder1_2r1r1 @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(161,plain,
! [B: $i,A: $i] :
( ~ ( ssNder1_1r1 @ A )
| ~ ssNder1_0
| ( ssNder1_2r1r1 @ A @ B ) ),
inference(cnf,[status(esa)],[94]) ).
thf(170,plain,
! [B: $i,A: $i] :
( ~ $true
| ~ $true
| ( ssNder1_2r1r1 @ A @ B ) ),
inference(rewrite,[status(thm)],[161,169,58]) ).
thf(171,plain,
! [B: $i,A: $i] : ( ssNder1_2r1r1 @ A @ B ),
inference(simp,[status(thm)],[170]) ).
thf(4,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( ssNder1_2r1r1 @ A @ B )
| ~ ( ssNder1_1r1 @ A )
| ~ ssNder1_0
| ( ssNder1_3r1r1r1 @ A @ B @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause4) ).
thf(62,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( ssNder1_2r1r1 @ A @ B )
| ~ ( ssNder1_1r1 @ A )
| ~ ssNder1_0
| ( ssNder1_3r1r1r1 @ A @ B @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(163,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( ssNder1_2r1r1 @ A @ B )
| ~ ( ssNder1_1r1 @ A )
| ~ ssNder1_0
| ( ssNder1_3r1r1r1 @ A @ B @ C ) ),
inference(cnf,[status(esa)],[62]) ).
thf(172,plain,
! [C: $i,B: $i,A: $i] :
( ~ $true
| ~ $true
| ~ $true
| ( ssNder1_3r1r1r1 @ A @ B @ C ) ),
inference(rewrite,[status(thm)],[163,169,58,171]) ).
thf(173,plain,
! [C: $i,B: $i,A: $i] : ( ssNder1_3r1r1r1 @ A @ B @ C ),
inference(simp,[status(thm)],[172]) ).
thf(180,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ $true
| ~ $true
| ~ $true
| ~ $true
| ( ssNder1_4r1r1r1r1 @ A @ B @ C @ D ) ),
inference(rewrite,[status(thm)],[125,169,58,171,173]) ).
thf(181,plain,
! [D: $i,C: $i,B: $i,A: $i] : ( ssNder1_4r1r1r1r1 @ A @ B @ C @ D ),
inference(simp,[status(thm)],[180]) ).
thf(206,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ( ssPv15_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ skc28 ) ),
inference(rewrite,[status(thm)],[126,181,169,58,171,173]) ).
thf(207,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] : ( ssPv15_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ skc28 ),
inference(simp,[status(thm)],[206]) ).
thf(31,negated_conjecture,
! [N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M )
| ~ ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L )
| ~ ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
| ~ ( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J )
| ~ ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I )
| ~ ( ssNder1_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H )
| ~ ( ssNder1_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G )
| ~ ( ssNder1_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
| ~ ( ssNder1_5r1r1r1r1r1 @ A @ B @ C @ D @ E )
| ~ ( ssNder1_4r1r1r1r1 @ A @ B @ C @ D )
| ~ ( ssNder1_3r1r1r1 @ A @ B @ C )
| ~ ( ssNder1_2r1r1 @ A @ B )
| ~ ( ssNder1_1r1 @ A )
| ~ ssNder1_0
| ( ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ skc18 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause31) ).
thf(100,plain,
! [N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M )
| ~ ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L )
| ~ ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
| ~ ( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J )
| ~ ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I )
| ~ ( ssNder1_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H )
| ~ ( ssNder1_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G )
| ~ ( ssNder1_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
| ~ ( ssNder1_5r1r1r1r1r1 @ A @ B @ C @ D @ E )
| ~ ( ssNder1_4r1r1r1r1 @ A @ B @ C @ D )
| ~ ( ssNder1_3r1r1r1 @ A @ B @ C )
| ~ ( ssNder1_2r1r1 @ A @ B )
| ~ ( ssNder1_1r1 @ A )
| ~ ssNder1_0
| ( ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ skc18 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[31]) ).
thf(165,plain,
! [N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M )
| ~ ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L )
| ~ ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
| ~ ( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J )
| ~ ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I )
| ~ ( ssNder1_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H )
| ~ ( ssNder1_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G )
| ~ ( ssNder1_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
| ~ ( ssNder1_5r1r1r1r1r1 @ A @ B @ C @ D @ E )
| ~ ( ssNder1_4r1r1r1r1 @ A @ B @ C @ D )
| ~ ( ssNder1_3r1r1r1 @ A @ B @ C )
| ~ ( ssNder1_2r1r1 @ A @ B )
| ~ ( ssNder1_1r1 @ A )
| ~ ssNder1_0
| ( ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ skc18 ) ),
inference(cnf,[status(esa)],[100]) ).
thf(14,negated_conjecture,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssNder1_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
| ~ ( ssNder1_5r1r1r1r1r1 @ A @ B @ C @ D @ E )
| ~ ( ssNder1_4r1r1r1r1 @ A @ B @ C @ D )
| ~ ( ssNder1_3r1r1r1 @ A @ B @ C )
| ~ ( ssNder1_2r1r1 @ A @ B )
| ~ ( ssNder1_1r1 @ A )
| ~ ssNder1_0
| ( ssNder1_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause14) ).
thf(70,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssNder1_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
| ~ ( ssNder1_5r1r1r1r1r1 @ A @ B @ C @ D @ E )
| ~ ( ssNder1_4r1r1r1r1 @ A @ B @ C @ D )
| ~ ( ssNder1_3r1r1r1 @ A @ B @ C )
| ~ ( ssNder1_2r1r1 @ A @ B )
| ~ ( ssNder1_1r1 @ A )
| ~ ssNder1_0
| ( ssNder1_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(114,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssNder1_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
| ~ ( ssNder1_5r1r1r1r1r1 @ A @ B @ C @ D @ E )
| ~ ( ssNder1_4r1r1r1r1 @ A @ B @ C @ D )
| ~ ( ssNder1_3r1r1r1 @ A @ B @ C )
| ~ ( ssNder1_2r1r1 @ A @ B )
| ~ ( ssNder1_1r1 @ A )
| ~ ssNder1_0
| ( ssNder1_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G ) ),
inference(cnf,[status(esa)],[70]) ).
thf(8,negated_conjecture,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssNder1_4r1r1r1r1 @ A @ B @ C @ D )
| ~ ( ssNder1_3r1r1r1 @ A @ B @ C )
| ~ ( ssNder1_2r1r1 @ A @ B )
| ~ ( ssNder1_1r1 @ A )
| ~ ssNder1_0
| ( ssNder1_5r1r1r1r1r1 @ A @ B @ C @ D @ E ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause8) ).
thf(61,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssNder1_4r1r1r1r1 @ A @ B @ C @ D )
| ~ ( ssNder1_3r1r1r1 @ A @ B @ C )
| ~ ( ssNder1_2r1r1 @ A @ B )
| ~ ( ssNder1_1r1 @ A )
| ~ ssNder1_0
| ( ssNder1_5r1r1r1r1r1 @ A @ B @ C @ D @ E ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(129,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssNder1_4r1r1r1r1 @ A @ B @ C @ D )
| ~ ( ssNder1_3r1r1r1 @ A @ B @ C )
| ~ ( ssNder1_2r1r1 @ A @ B )
| ~ ( ssNder1_1r1 @ A )
| ~ ssNder1_0
| ( ssNder1_5r1r1r1r1r1 @ A @ B @ C @ D @ E ) ),
inference(cnf,[status(esa)],[61]) ).
thf(193,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ( ssNder1_5r1r1r1r1r1 @ A @ B @ C @ D @ E ) ),
inference(rewrite,[status(thm)],[129,181,169,58,171,173]) ).
thf(194,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] : ( ssNder1_5r1r1r1r1r1 @ A @ B @ C @ D @ E ),
inference(simp,[status(thm)],[193]) ).
thf(211,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssNder1_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ( ssNder1_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G ) ),
inference(rewrite,[status(thm)],[114,194,181,169,58,171,173]) ).
thf(212,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssNder1_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
| ( ssNder1_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G ) ),
inference(simp,[status(thm)],[211]) ).
thf(11,negated_conjecture,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssNder1_5r1r1r1r1r1 @ A @ B @ C @ D @ E )
| ~ ( ssNder1_4r1r1r1r1 @ A @ B @ C @ D )
| ~ ( ssNder1_3r1r1r1 @ A @ B @ C )
| ~ ( ssNder1_2r1r1 @ A @ B )
| ~ ( ssNder1_1r1 @ A )
| ~ ssNder1_0
| ( ssNder1_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause11) ).
thf(101,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssNder1_5r1r1r1r1r1 @ A @ B @ C @ D @ E )
| ~ ( ssNder1_4r1r1r1r1 @ A @ B @ C @ D )
| ~ ( ssNder1_3r1r1r1 @ A @ B @ C )
| ~ ( ssNder1_2r1r1 @ A @ B )
| ~ ( ssNder1_1r1 @ A )
| ~ ssNder1_0
| ( ssNder1_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(122,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssNder1_5r1r1r1r1r1 @ A @ B @ C @ D @ E )
| ~ ( ssNder1_4r1r1r1r1 @ A @ B @ C @ D )
| ~ ( ssNder1_3r1r1r1 @ A @ B @ C )
| ~ ( ssNder1_2r1r1 @ A @ B )
| ~ ( ssNder1_1r1 @ A )
| ~ ssNder1_0
| ( ssNder1_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F ) ),
inference(cnf,[status(esa)],[101]) ).
thf(219,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ( ssNder1_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F ) ),
inference(rewrite,[status(thm)],[122,194,181,169,58,171,173]) ).
thf(220,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] : ( ssNder1_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F ),
inference(simp,[status(thm)],[219]) ).
thf(223,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ $true
| ( ssNder1_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G ) ),
inference(rewrite,[status(thm)],[212,220]) ).
thf(224,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] : ( ssNder1_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G ),
inference(simp,[status(thm)],[223]) ).
thf(21,negated_conjecture,
! [K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J )
| ~ ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I )
| ~ ( ssNder1_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H )
| ~ ( ssNder1_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G )
| ~ ( ssNder1_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
| ~ ( ssNder1_5r1r1r1r1r1 @ A @ B @ C @ D @ E )
| ~ ( ssNder1_4r1r1r1r1 @ A @ B @ C @ D )
| ~ ( ssNder1_3r1r1r1 @ A @ B @ C )
| ~ ( ssNder1_2r1r1 @ A @ B )
| ~ ( ssNder1_1r1 @ A )
| ~ ssNder1_0
| ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause21) ).
thf(74,plain,
! [K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J )
| ~ ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I )
| ~ ( ssNder1_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H )
| ~ ( ssNder1_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G )
| ~ ( ssNder1_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
| ~ ( ssNder1_5r1r1r1r1r1 @ A @ B @ C @ D @ E )
| ~ ( ssNder1_4r1r1r1r1 @ A @ B @ C @ D )
| ~ ( ssNder1_3r1r1r1 @ A @ B @ C )
| ~ ( ssNder1_2r1r1 @ A @ B )
| ~ ( ssNder1_1r1 @ A )
| ~ ssNder1_0
| ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).
thf(131,plain,
! [K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J )
| ~ ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I )
| ~ ( ssNder1_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H )
| ~ ( ssNder1_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G )
| ~ ( ssNder1_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
| ~ ( ssNder1_5r1r1r1r1r1 @ A @ B @ C @ D @ E )
| ~ ( ssNder1_4r1r1r1r1 @ A @ B @ C @ D )
| ~ ( ssNder1_3r1r1r1 @ A @ B @ C )
| ~ ( ssNder1_2r1r1 @ A @ B )
| ~ ( ssNder1_1r1 @ A )
| ~ ssNder1_0
| ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K ) ),
inference(cnf,[status(esa)],[74]) ).
thf(18,negated_conjecture,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssNder1_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H )
| ~ ( ssNder1_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G )
| ~ ( ssNder1_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
| ~ ( ssNder1_5r1r1r1r1r1 @ A @ B @ C @ D @ E )
| ~ ( ssNder1_4r1r1r1r1 @ A @ B @ C @ D )
| ~ ( ssNder1_3r1r1r1 @ A @ B @ C )
| ~ ( ssNder1_2r1r1 @ A @ B )
| ~ ( ssNder1_1r1 @ A )
| ~ ssNder1_0
| ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause18) ).
thf(97,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssNder1_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H )
| ~ ( ssNder1_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G )
| ~ ( ssNder1_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
| ~ ( ssNder1_5r1r1r1r1r1 @ A @ B @ C @ D @ E )
| ~ ( ssNder1_4r1r1r1r1 @ A @ B @ C @ D )
| ~ ( ssNder1_3r1r1r1 @ A @ B @ C )
| ~ ( ssNder1_2r1r1 @ A @ B )
| ~ ( ssNder1_1r1 @ A )
| ~ ssNder1_0
| ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).
thf(137,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssNder1_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H )
| ~ ( ssNder1_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G )
| ~ ( ssNder1_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
| ~ ( ssNder1_5r1r1r1r1r1 @ A @ B @ C @ D @ E )
| ~ ( ssNder1_4r1r1r1r1 @ A @ B @ C @ D )
| ~ ( ssNder1_3r1r1r1 @ A @ B @ C )
| ~ ( ssNder1_2r1r1 @ A @ B )
| ~ ( ssNder1_1r1 @ A )
| ~ ssNder1_0
| ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I ) ),
inference(cnf,[status(esa)],[97]) ).
thf(17,negated_conjecture,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssNder1_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G )
| ~ ( ssNder1_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
| ~ ( ssNder1_5r1r1r1r1r1 @ A @ B @ C @ D @ E )
| ~ ( ssNder1_4r1r1r1r1 @ A @ B @ C @ D )
| ~ ( ssNder1_3r1r1r1 @ A @ B @ C )
| ~ ( ssNder1_2r1r1 @ A @ B )
| ~ ( ssNder1_1r1 @ A )
| ~ ssNder1_0
| ( ssNder1_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause17) ).
thf(83,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssNder1_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G )
| ~ ( ssNder1_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
| ~ ( ssNder1_5r1r1r1r1r1 @ A @ B @ C @ D @ E )
| ~ ( ssNder1_4r1r1r1r1 @ A @ B @ C @ D )
| ~ ( ssNder1_3r1r1r1 @ A @ B @ C )
| ~ ( ssNder1_2r1r1 @ A @ B )
| ~ ( ssNder1_1r1 @ A )
| ~ ssNder1_0
| ( ssNder1_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).
thf(164,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssNder1_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G )
| ~ ( ssNder1_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
| ~ ( ssNder1_5r1r1r1r1r1 @ A @ B @ C @ D @ E )
| ~ ( ssNder1_4r1r1r1r1 @ A @ B @ C @ D )
| ~ ( ssNder1_3r1r1r1 @ A @ B @ C )
| ~ ( ssNder1_2r1r1 @ A @ B )
| ~ ( ssNder1_1r1 @ A )
| ~ ssNder1_0
| ( ssNder1_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H ) ),
inference(cnf,[status(esa)],[83]) ).
thf(282,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ( ssNder1_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H ) ),
inference(rewrite,[status(thm)],[164,224,194,181,169,58,171,220,173]) ).
thf(283,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] : ( ssNder1_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H ),
inference(simp,[status(thm)],[282]) ).
thf(303,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I ) ),
inference(rewrite,[status(thm)],[137,224,194,181,169,58,171,283,220,173]) ).
thf(304,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] : ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I ),
inference(simp,[status(thm)],[303]) ).
thf(19,negated_conjecture,
! [J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I )
| ~ ( ssNder1_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H )
| ~ ( ssNder1_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G )
| ~ ( ssNder1_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
| ~ ( ssNder1_5r1r1r1r1r1 @ A @ B @ C @ D @ E )
| ~ ( ssNder1_4r1r1r1r1 @ A @ B @ C @ D )
| ~ ( ssNder1_3r1r1r1 @ A @ B @ C )
| ~ ( ssNder1_2r1r1 @ A @ B )
| ~ ( ssNder1_1r1 @ A )
| ~ ssNder1_0
| ( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause19) ).
thf(110,plain,
! [J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I )
| ~ ( ssNder1_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H )
| ~ ( ssNder1_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G )
| ~ ( ssNder1_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
| ~ ( ssNder1_5r1r1r1r1r1 @ A @ B @ C @ D @ E )
| ~ ( ssNder1_4r1r1r1r1 @ A @ B @ C @ D )
| ~ ( ssNder1_3r1r1r1 @ A @ B @ C )
| ~ ( ssNder1_2r1r1 @ A @ B )
| ~ ( ssNder1_1r1 @ A )
| ~ ssNder1_0
| ( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).
thf(113,plain,
! [J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I )
| ~ ( ssNder1_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H )
| ~ ( ssNder1_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G )
| ~ ( ssNder1_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
| ~ ( ssNder1_5r1r1r1r1r1 @ A @ B @ C @ D @ E )
| ~ ( ssNder1_4r1r1r1r1 @ A @ B @ C @ D )
| ~ ( ssNder1_3r1r1r1 @ A @ B @ C )
| ~ ( ssNder1_2r1r1 @ A @ B )
| ~ ( ssNder1_1r1 @ A )
| ~ ssNder1_0
| ( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J ) ),
inference(cnf,[status(esa)],[110]) ).
thf(186,plain,
! [J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I )
| ~ ( ssNder1_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H )
| ~ ( ssNder1_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G )
| ~ ( ssNder1_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
| ~ ( ssNder1_5r1r1r1r1r1 @ A @ B @ C @ D @ E )
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J ) ),
inference(rewrite,[status(thm)],[113,181,169,58,171,173]) ).
thf(187,plain,
! [J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I )
| ~ ( ssNder1_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H )
| ~ ( ssNder1_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G )
| ~ ( ssNder1_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
| ~ ( ssNder1_5r1r1r1r1r1 @ A @ B @ C @ D @ E )
| ( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J ) ),
inference(simp,[status(thm)],[186]) ).
thf(195,plain,
! [J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I )
| ~ ( ssNder1_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H )
| ~ ( ssNder1_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G )
| ~ ( ssNder1_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
| ~ $true
| ( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J ) ),
inference(rewrite,[status(thm)],[187,194]) ).
thf(196,plain,
! [J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I )
| ~ ( ssNder1_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H )
| ~ ( ssNder1_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G )
| ~ ( ssNder1_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
| ( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J ) ),
inference(simp,[status(thm)],[195]) ).
thf(215,plain,
! [Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssNder1_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
| ~ ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ H @ I @ J @ K @ L @ M @ N @ O @ P )
| ~ ( ssNder1_8r1r1r1r1r1r1r1r1 @ H @ I @ J @ K @ L @ M @ N @ O )
| ~ ( ssNder1_6r1r1r1r1r1r1 @ H @ I @ J @ K @ L @ M )
| ( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
| ( ( ssNder1_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G )
!= ( ssNder1_7r1r1r1r1r1r1r1 @ H @ I @ J @ K @ L @ M @ N ) ) ),
inference(paramod_ordered,[status(thm)],[212,196]) ).
thf(216,plain,
! [J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssNder1_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
| ~ ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I )
| ~ ( ssNder1_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H )
| ~ ( ssNder1_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
| ( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J ) ),
inference(pattern_uni,[status(thm)],[215:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( C )),bind(D,$thf( D )),bind(E,$thf( E )),bind(F,$thf( F )),bind(G,$thf( G )),bind(H,$thf( A )),bind(I,$thf( B )),bind(J,$thf( C )),bind(K,$thf( D )),bind(L,$thf( E )),bind(M,$thf( F )),bind(N,$thf( G ))]]) ).
thf(218,plain,
! [J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssNder1_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
| ~ ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I )
| ~ ( ssNder1_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H )
| ( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J ) ),
inference(simp,[status(thm)],[216]) ).
thf(225,plain,
! [J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ $true
| ~ ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I )
| ~ ( ssNder1_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H )
| ( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J ) ),
inference(rewrite,[status(thm)],[218,220]) ).
thf(226,plain,
! [J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I )
| ~ ( ssNder1_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H )
| ( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J ) ),
inference(simp,[status(thm)],[225]) ).
thf(296,plain,
! [J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I )
| ~ $true
| ( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J ) ),
inference(rewrite,[status(thm)],[226,283]) ).
thf(297,plain,
! [J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I )
| ( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J ) ),
inference(simp,[status(thm)],[296]) ).
thf(313,plain,
! [J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ $true
| ( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J ) ),
inference(rewrite,[status(thm)],[297,304]) ).
thf(314,plain,
! [J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] : ( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J ),
inference(simp,[status(thm)],[313]) ).
thf(360,plain,
! [K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K ) ),
inference(rewrite,[status(thm)],[131,224,304,194,181,169,58,314,171,283,220,173]) ).
thf(361,plain,
! [K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] : ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K ),
inference(simp,[status(thm)],[360]) ).
thf(23,negated_conjecture,
! [L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
| ~ ( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J )
| ~ ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I )
| ~ ( ssNder1_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H )
| ~ ( ssNder1_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G )
| ~ ( ssNder1_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
| ~ ( ssNder1_5r1r1r1r1r1 @ A @ B @ C @ D @ E )
| ~ ( ssNder1_4r1r1r1r1 @ A @ B @ C @ D )
| ~ ( ssNder1_3r1r1r1 @ A @ B @ C )
| ~ ( ssNder1_2r1r1 @ A @ B )
| ~ ( ssNder1_1r1 @ A )
| ~ ssNder1_0
| ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause23) ).
thf(106,plain,
! [L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
| ~ ( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J )
| ~ ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I )
| ~ ( ssNder1_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H )
| ~ ( ssNder1_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G )
| ~ ( ssNder1_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
| ~ ( ssNder1_5r1r1r1r1r1 @ A @ B @ C @ D @ E )
| ~ ( ssNder1_4r1r1r1r1 @ A @ B @ C @ D )
| ~ ( ssNder1_3r1r1r1 @ A @ B @ C )
| ~ ( ssNder1_2r1r1 @ A @ B )
| ~ ( ssNder1_1r1 @ A )
| ~ ssNder1_0
| ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).
thf(127,plain,
! [L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
| ~ ( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J )
| ~ ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I )
| ~ ( ssNder1_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H )
| ~ ( ssNder1_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G )
| ~ ( ssNder1_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
| ~ ( ssNder1_5r1r1r1r1r1 @ A @ B @ C @ D @ E )
| ~ ( ssNder1_4r1r1r1r1 @ A @ B @ C @ D )
| ~ ( ssNder1_3r1r1r1 @ A @ B @ C )
| ~ ( ssNder1_2r1r1 @ A @ B )
| ~ ( ssNder1_1r1 @ A )
| ~ ssNder1_0
| ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L ) ),
inference(cnf,[status(esa)],[106]) ).
thf(434,plain,
! [L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L ) ),
inference(rewrite,[status(thm)],[127,224,194,169,361,171,173,304,181,58,314,283,220]) ).
thf(435,plain,
! [L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] : ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L ),
inference(simp,[status(thm)],[434]) ).
thf(27,negated_conjecture,
! [M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L )
| ~ ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
| ~ ( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J )
| ~ ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I )
| ~ ( ssNder1_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H )
| ~ ( ssNder1_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G )
| ~ ( ssNder1_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
| ~ ( ssNder1_5r1r1r1r1r1 @ A @ B @ C @ D @ E )
| ~ ( ssNder1_4r1r1r1r1 @ A @ B @ C @ D )
| ~ ( ssNder1_3r1r1r1 @ A @ B @ C )
| ~ ( ssNder1_2r1r1 @ A @ B )
| ~ ( ssNder1_1r1 @ A )
| ~ ssNder1_0
| ( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause27) ).
thf(88,plain,
! [M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L )
| ~ ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
| ~ ( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J )
| ~ ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I )
| ~ ( ssNder1_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H )
| ~ ( ssNder1_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G )
| ~ ( ssNder1_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
| ~ ( ssNder1_5r1r1r1r1r1 @ A @ B @ C @ D @ E )
| ~ ( ssNder1_4r1r1r1r1 @ A @ B @ C @ D )
| ~ ( ssNder1_3r1r1r1 @ A @ B @ C )
| ~ ( ssNder1_2r1r1 @ A @ B )
| ~ ( ssNder1_1r1 @ A )
| ~ ssNder1_0
| ( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[27]) ).
thf(123,plain,
! [M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L )
| ~ ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
| ~ ( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J )
| ~ ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I )
| ~ ( ssNder1_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H )
| ~ ( ssNder1_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G )
| ~ ( ssNder1_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
| ~ ( ssNder1_5r1r1r1r1r1 @ A @ B @ C @ D @ E )
| ~ ( ssNder1_4r1r1r1r1 @ A @ B @ C @ D )
| ~ ( ssNder1_3r1r1r1 @ A @ B @ C )
| ~ ( ssNder1_2r1r1 @ A @ B )
| ~ ( ssNder1_1r1 @ A )
| ~ ssNder1_0
| ( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M ) ),
inference(cnf,[status(esa)],[88]) ).
thf(378,plain,
! [M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L )
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M ) ),
inference(rewrite,[status(thm)],[123,224,194,169,361,171,173,304,181,58,314,283,220]) ).
thf(379,plain,
! [M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L )
| ( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M ) ),
inference(simp,[status(thm)],[378]) ).
thf(436,plain,
! [M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ $true
| ( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M ) ),
inference(rewrite,[status(thm)],[379,435]) ).
thf(437,plain,
! [M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] : ( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M ),
inference(simp,[status(thm)],[436]) ).
thf(1165,plain,
! [N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ( ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ skc18 ) ),
inference(rewrite,[status(thm)],[165,224,194,169,361,171,173,304,435,181,437,58,314,283,220]) ).
thf(1166,plain,
! [N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] : ( ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ skc18 ),
inference(simp,[status(thm)],[1165]) ).
thf(34,negated_conjecture,
! [O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
| ~ ( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M )
| ~ ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L )
| ~ ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
| ~ ( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J )
| ~ ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I )
| ~ ( ssNder1_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H )
| ~ ( ssNder1_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G )
| ~ ( ssNder1_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
| ~ ( ssNder1_5r1r1r1r1r1 @ A @ B @ C @ D @ E )
| ~ ( ssNder1_4r1r1r1r1 @ A @ B @ C @ D )
| ~ ( ssNder1_3r1r1r1 @ A @ B @ C )
| ~ ( ssNder1_2r1r1 @ A @ B )
| ~ ( ssNder1_1r1 @ A )
| ~ ssNder1_0
| ( ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ skc16 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause34) ).
thf(85,plain,
! [O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
| ~ ( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M )
| ~ ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L )
| ~ ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
| ~ ( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J )
| ~ ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I )
| ~ ( ssNder1_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H )
| ~ ( ssNder1_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G )
| ~ ( ssNder1_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
| ~ ( ssNder1_5r1r1r1r1r1 @ A @ B @ C @ D @ E )
| ~ ( ssNder1_4r1r1r1r1 @ A @ B @ C @ D )
| ~ ( ssNder1_3r1r1r1 @ A @ B @ C )
| ~ ( ssNder1_2r1r1 @ A @ B )
| ~ ( ssNder1_1r1 @ A )
| ~ ssNder1_0
| ( ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ skc16 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[34]) ).
thf(133,plain,
! [O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
| ~ ( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M )
| ~ ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L )
| ~ ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
| ~ ( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J )
| ~ ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I )
| ~ ( ssNder1_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H )
| ~ ( ssNder1_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G )
| ~ ( ssNder1_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
| ~ ( ssNder1_5r1r1r1r1r1 @ A @ B @ C @ D @ E )
| ~ ( ssNder1_4r1r1r1r1 @ A @ B @ C @ D )
| ~ ( ssNder1_3r1r1r1 @ A @ B @ C )
| ~ ( ssNder1_2r1r1 @ A @ B )
| ~ ( ssNder1_1r1 @ A )
| ~ ssNder1_0
| ( ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ skc16 ) ),
inference(cnf,[status(esa)],[85]) ).
thf(464,plain,
! [O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ( ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ skc16 ) ),
inference(rewrite,[status(thm)],[133,224,194,169,361,171,173,304,435,181,437,58,314,283,220]) ).
thf(465,plain,
! [O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
| ( ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ skc16 ) ),
inference(simp,[status(thm)],[464]) ).
thf(30,negated_conjecture,
! [N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M )
| ~ ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L )
| ~ ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
| ~ ( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J )
| ~ ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I )
| ~ ( ssNder1_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H )
| ~ ( ssNder1_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G )
| ~ ( ssNder1_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
| ~ ( ssNder1_5r1r1r1r1r1 @ A @ B @ C @ D @ E )
| ~ ( ssNder1_4r1r1r1r1 @ A @ B @ C @ D )
| ~ ( ssNder1_3r1r1r1 @ A @ B @ C )
| ~ ( ssNder1_2r1r1 @ A @ B )
| ~ ( ssNder1_1r1 @ A )
| ~ ssNder1_0
| ( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause30) ).
thf(108,plain,
! [N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M )
| ~ ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L )
| ~ ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
| ~ ( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J )
| ~ ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I )
| ~ ( ssNder1_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H )
| ~ ( ssNder1_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G )
| ~ ( ssNder1_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
| ~ ( ssNder1_5r1r1r1r1r1 @ A @ B @ C @ D @ E )
| ~ ( ssNder1_4r1r1r1r1 @ A @ B @ C @ D )
| ~ ( ssNder1_3r1r1r1 @ A @ B @ C )
| ~ ( ssNder1_2r1r1 @ A @ B )
| ~ ( ssNder1_1r1 @ A )
| ~ ssNder1_0
| ( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[30]) ).
thf(151,plain,
! [N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M )
| ~ ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L )
| ~ ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
| ~ ( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J )
| ~ ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I )
| ~ ( ssNder1_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H )
| ~ ( ssNder1_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G )
| ~ ( ssNder1_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
| ~ ( ssNder1_5r1r1r1r1r1 @ A @ B @ C @ D @ E )
| ~ ( ssNder1_4r1r1r1r1 @ A @ B @ C @ D )
| ~ ( ssNder1_3r1r1r1 @ A @ B @ C )
| ~ ( ssNder1_2r1r1 @ A @ B )
| ~ ( ssNder1_1r1 @ A )
| ~ ssNder1_0
| ( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N ) ),
inference(cnf,[status(esa)],[108]) ).
thf(969,plain,
! [N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N ) ),
inference(rewrite,[status(thm)],[151,224,194,169,361,171,173,304,435,181,437,58,314,283,220]) ).
thf(970,plain,
! [N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] : ( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N ),
inference(simp,[status(thm)],[969]) ).
thf(1027,plain,
! [O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ $true
| ( ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ skc16 ) ),
inference(rewrite,[status(thm)],[465,970]) ).
thf(1028,plain,
! [O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] : ( ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ skc16 ),
inference(simp,[status(thm)],[1027]) ).
thf(54,negated_conjecture,
! [S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R )
| ~ ( ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
| ~ ( ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P )
| ~ ( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P )
| ~ ( ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O )
| ~ ( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O )
| ~ ( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
| ~ ( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M )
| ~ ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L )
| ~ ( ssPv10_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
| ~ ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
| ~ ( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J )
| ~ ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I )
| ~ ( ssNder1_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H )
| ~ ( ssNder1_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G )
| ~ ( ssNder1_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
| ~ ( ssNder1_5r1r1r1r1r1 @ A @ B @ C @ D @ E )
| ~ ( ssNder1_4r1r1r1r1 @ A @ B @ C @ D )
| ~ ( ssNder1_3r1r1r1 @ A @ B @ C )
| ~ ( ssNder1_2r1r1 @ A @ B )
| ~ ( ssNder1_1r1 @ A )
| ~ ssNder1_0
| ( ssPv2_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause54) ).
thf(90,plain,
! [S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R )
| ~ ( ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
| ~ ( ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P )
| ~ ( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P )
| ~ ( ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O )
| ~ ( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O )
| ~ ( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
| ~ ( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M )
| ~ ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L )
| ~ ( ssPv10_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
| ~ ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
| ~ ( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J )
| ~ ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I )
| ~ ( ssNder1_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H )
| ~ ( ssNder1_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G )
| ~ ( ssNder1_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
| ~ ( ssNder1_5r1r1r1r1r1 @ A @ B @ C @ D @ E )
| ~ ( ssNder1_4r1r1r1r1 @ A @ B @ C @ D )
| ~ ( ssNder1_3r1r1r1 @ A @ B @ C )
| ~ ( ssNder1_2r1r1 @ A @ B )
| ~ ( ssNder1_1r1 @ A )
| ~ ssNder1_0
| ( ssPv2_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[54]) ).
thf(166,plain,
! [S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R )
| ~ ( ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
| ~ ( ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P )
| ~ ( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P )
| ~ ( ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O )
| ~ ( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O )
| ~ ( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
| ~ ( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M )
| ~ ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L )
| ~ ( ssPv10_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
| ~ ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
| ~ ( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J )
| ~ ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I )
| ~ ( ssNder1_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H )
| ~ ( ssNder1_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G )
| ~ ( ssNder1_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
| ~ ( ssNder1_5r1r1r1r1r1 @ A @ B @ C @ D @ E )
| ~ ( ssNder1_4r1r1r1r1 @ A @ B @ C @ D )
| ~ ( ssNder1_3r1r1r1 @ A @ B @ C )
| ~ ( ssNder1_2r1r1 @ A @ B )
| ~ ( ssNder1_1r1 @ A )
| ~ ssNder1_0
| ( ssPv2_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S ) ),
inference(cnf,[status(esa)],[90]) ).
thf(514,plain,
! [S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R )
| ~ ( ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
| ~ ( ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P )
| ~ ( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P )
| ~ ( ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O )
| ~ ( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O )
| ~ ( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
| ~ $true
| ~ $true
| ~ ( ssPv10_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ( ssPv2_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S ) ),
inference(rewrite,[status(thm)],[166,224,194,169,361,171,173,304,435,181,437,58,314,283,220]) ).
thf(515,plain,
! [S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R )
| ~ ( ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
| ~ ( ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P )
| ~ ( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P )
| ~ ( ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O )
| ~ ( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O )
| ~ ( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
| ~ ( ssPv10_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
| ( ssPv2_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S ) ),
inference(simp,[status(thm)],[514]) ).
thf(53,negated_conjecture,
! [S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R )
| ~ ( ssPv2_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S )
| ~ ( ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
| ~ ( ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P )
| ~ ( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P )
| ~ ( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O )
| ~ ( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
| ~ ( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M )
| ~ ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L )
| ~ ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
| ~ ( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J )
| ~ ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I )
| ~ ( ssNder1_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H )
| ~ ( ssNder1_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G )
| ~ ( ssPv15_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
| ~ ( ssNder1_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
| ~ ( ssNder1_5r1r1r1r1r1 @ A @ B @ C @ D @ E )
| ~ ( ssNder1_4r1r1r1r1 @ A @ B @ C @ D )
| ~ ( ssNder1_3r1r1r1 @ A @ B @ C )
| ~ ( ssNder1_2r1r1 @ A @ B )
| ~ ( ssNder1_1r1 @ A )
| ~ ssNder1_0
| ( ssPv4_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause53) ).
thf(79,plain,
! [S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R )
| ~ ( ssPv2_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S )
| ~ ( ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
| ~ ( ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P )
| ~ ( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P )
| ~ ( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O )
| ~ ( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
| ~ ( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M )
| ~ ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L )
| ~ ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
| ~ ( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J )
| ~ ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I )
| ~ ( ssNder1_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H )
| ~ ( ssNder1_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G )
| ~ ( ssPv15_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
| ~ ( ssNder1_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
| ~ ( ssNder1_5r1r1r1r1r1 @ A @ B @ C @ D @ E )
| ~ ( ssNder1_4r1r1r1r1 @ A @ B @ C @ D )
| ~ ( ssNder1_3r1r1r1 @ A @ B @ C )
| ~ ( ssNder1_2r1r1 @ A @ B )
| ~ ( ssNder1_1r1 @ A )
| ~ ssNder1_0
| ( ssPv4_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[53]) ).
thf(160,plain,
! [S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R )
| ~ ( ssPv2_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S )
| ~ ( ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
| ~ ( ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P )
| ~ ( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P )
| ~ ( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O )
| ~ ( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
| ~ ( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M )
| ~ ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L )
| ~ ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
| ~ ( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J )
| ~ ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I )
| ~ ( ssNder1_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H )
| ~ ( ssNder1_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G )
| ~ ( ssPv15_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
| ~ ( ssNder1_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
| ~ ( ssNder1_5r1r1r1r1r1 @ A @ B @ C @ D @ E )
| ~ ( ssNder1_4r1r1r1r1 @ A @ B @ C @ D )
| ~ ( ssNder1_3r1r1r1 @ A @ B @ C )
| ~ ( ssNder1_2r1r1 @ A @ B )
| ~ ( ssNder1_1r1 @ A )
| ~ ssNder1_0
| ( ssPv4_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q ) ),
inference(cnf,[status(esa)],[79]) ).
thf(503,plain,
! [S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R )
| ~ ( ssPv2_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S )
| ~ ( ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
| ~ ( ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P )
| ~ ( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P )
| ~ ( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O )
| ~ ( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ ( ssPv15_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ( ssPv4_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q ) ),
inference(rewrite,[status(thm)],[160,224,194,169,361,171,173,304,435,181,437,58,314,283,220]) ).
thf(504,plain,
! [S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R )
| ~ ( ssPv2_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S )
| ~ ( ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
| ~ ( ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P )
| ~ ( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P )
| ~ ( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O )
| ~ ( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
| ~ ( ssPv15_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
| ( ssPv4_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q ) ),
inference(simp,[status(thm)],[503]) ).
thf(516,plain,
! [ZL: $i,ZK: $i,ZJ: $i,ZI: $i,ZH: $i,ZG: $i,ZF: $i,ZE: $i,ZD: $i,ZC: $i,ZB: $i,ZA: $i,Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R )
| ~ ( ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
| ~ ( ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P )
| ~ ( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P )
| ~ ( ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O )
| ~ ( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O )
| ~ ( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
| ~ ( ssPv10_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
| ~ ( ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ T @ U @ V @ W @ X @ Y @ Z @ ZA @ ZB @ ZC @ ZD @ ZE @ ZF @ ZG @ ZH @ ZI @ ZJ @ ZK )
| ~ ( ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ T @ U @ V @ W @ X @ Y @ Z @ ZA @ ZB @ ZC @ ZD @ ZE @ ZF @ ZG @ ZH @ ZI @ ZJ )
| ~ ( ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ T @ U @ V @ W @ X @ Y @ Z @ ZA @ ZB @ ZC @ ZD @ ZE @ ZF @ ZG @ ZH @ ZI )
| ~ ( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ T @ U @ V @ W @ X @ Y @ Z @ ZA @ ZB @ ZC @ ZD @ ZE @ ZF @ ZG @ ZH @ ZI )
| ~ ( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ T @ U @ V @ W @ X @ Y @ Z @ ZA @ ZB @ ZC @ ZD @ ZE @ ZF @ ZG @ ZH )
| ~ ( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ T @ U @ V @ W @ X @ Y @ Z @ ZA @ ZB @ ZC @ ZD @ ZE @ ZF @ ZG )
| ~ ( ssPv15_6r1r1r1r1r1r1 @ T @ U @ V @ W @ X @ Y )
| ( ssPv4_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ T @ U @ V @ W @ X @ Y @ Z @ ZA @ ZB @ ZC @ ZD @ ZE @ ZF @ ZG @ ZH @ ZI @ ZJ )
| ( ( ssPv2_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S )
!= ( ssPv2_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ T @ U @ V @ W @ X @ Y @ Z @ ZA @ ZB @ ZC @ ZD @ ZE @ ZF @ ZG @ ZH @ ZI @ ZJ @ ZK @ ZL ) ) ),
inference(paramod_ordered,[status(thm)],[515,504]) ).
thf(517,plain,
! [R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R )
| ~ ( ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
| ~ ( ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P )
| ~ ( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P )
| ~ ( ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O )
| ~ ( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O )
| ~ ( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
| ~ ( ssPv10_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
| ~ ( ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R )
| ~ ( ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
| ~ ( ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P )
| ~ ( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P )
| ~ ( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O )
| ~ ( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
| ~ ( ssPv15_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
| ( ssPv4_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q ) ),
inference(pattern_uni,[status(thm)],[516:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( C )),bind(D,$thf( D )),bind(E,$thf( E )),bind(F,$thf( F )),bind(G,$thf( G )),bind(H,$thf( H )),bind(I,$thf( I )),bind(J,$thf( J )),bind(K,$thf( K )),bind(L,$thf( L )),bind(M,$thf( M )),bind(N,$thf( N )),bind(O,$thf( O )),bind(P,$thf( P )),bind(Q,$thf( Q )),bind(R,$thf( R )),bind(S,$thf( S )),bind(T,$thf( A )),bind(U,$thf( B )),bind(V,$thf( C )),bind(W,$thf( D )),bind(X,$thf( E )),bind(Y,$thf( F )),bind(Z,$thf( G )),bind(ZA,$thf( H )),bind(ZB,$thf( I )),bind(ZC,$thf( J )),bind(ZD,$thf( K )),bind(ZE,$thf( L )),bind(ZF,$thf( M )),bind(ZG,$thf( N )),bind(ZH,$thf( O )),bind(ZI,$thf( P )),bind(ZJ,$thf( Q )),bind(ZK,$thf( R )),bind(ZL,$thf( S ))]]) ).
thf(522,plain,
! [R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R )
| ~ ( ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
| ~ ( ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P )
| ~ ( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P )
| ~ ( ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O )
| ~ ( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O )
| ~ ( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
| ~ ( ssPv10_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
| ~ ( ssPv15_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
| ( ssPv4_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q ) ),
inference(simp,[status(thm)],[517]) ).
thf(33,negated_conjecture,
! [O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
| ~ ( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M )
| ~ ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L )
| ~ ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
| ~ ( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J )
| ~ ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I )
| ~ ( ssNder1_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H )
| ~ ( ssNder1_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G )
| ~ ( ssNder1_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
| ~ ( ssNder1_5r1r1r1r1r1 @ A @ B @ C @ D @ E )
| ~ ( ssNder1_4r1r1r1r1 @ A @ B @ C @ D )
| ~ ( ssNder1_3r1r1r1 @ A @ B @ C )
| ~ ( ssNder1_2r1r1 @ A @ B )
| ~ ( ssNder1_1r1 @ A )
| ~ ssNder1_0
| ( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause33) ).
thf(75,plain,
! [O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
| ~ ( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M )
| ~ ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L )
| ~ ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
| ~ ( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J )
| ~ ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I )
| ~ ( ssNder1_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H )
| ~ ( ssNder1_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G )
| ~ ( ssNder1_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
| ~ ( ssNder1_5r1r1r1r1r1 @ A @ B @ C @ D @ E )
| ~ ( ssNder1_4r1r1r1r1 @ A @ B @ C @ D )
| ~ ( ssNder1_3r1r1r1 @ A @ B @ C )
| ~ ( ssNder1_2r1r1 @ A @ B )
| ~ ( ssNder1_1r1 @ A )
| ~ ssNder1_0
| ( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[33]) ).
thf(157,plain,
! [O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
| ~ ( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M )
| ~ ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L )
| ~ ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
| ~ ( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J )
| ~ ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I )
| ~ ( ssNder1_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H )
| ~ ( ssNder1_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G )
| ~ ( ssNder1_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
| ~ ( ssNder1_5r1r1r1r1r1 @ A @ B @ C @ D @ E )
| ~ ( ssNder1_4r1r1r1r1 @ A @ B @ C @ D )
| ~ ( ssNder1_3r1r1r1 @ A @ B @ C )
| ~ ( ssNder1_2r1r1 @ A @ B )
| ~ ( ssNder1_1r1 @ A )
| ~ ssNder1_0
| ( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O ) ),
inference(cnf,[status(esa)],[75]) ).
thf(1087,plain,
! [O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O ) ),
inference(rewrite,[status(thm)],[157,224,194,169,361,970,171,173,304,435,181,437,58,314,283,220]) ).
thf(1088,plain,
! [O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] : ( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O ),
inference(simp,[status(thm)],[1087]) ).
thf(37,negated_conjecture,
! [P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O )
| ~ ( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
| ~ ( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M )
| ~ ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L )
| ~ ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
| ~ ( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J )
| ~ ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I )
| ~ ( ssNder1_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H )
| ~ ( ssNder1_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G )
| ~ ( ssNder1_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
| ~ ( ssNder1_5r1r1r1r1r1 @ A @ B @ C @ D @ E )
| ~ ( ssNder1_4r1r1r1r1 @ A @ B @ C @ D )
| ~ ( ssNder1_3r1r1r1 @ A @ B @ C )
| ~ ( ssNder1_2r1r1 @ A @ B )
| ~ ( ssNder1_1r1 @ A )
| ~ ssNder1_0
| ( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause37) ).
thf(67,plain,
! [P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O )
| ~ ( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
| ~ ( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M )
| ~ ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L )
| ~ ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
| ~ ( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J )
| ~ ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I )
| ~ ( ssNder1_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H )
| ~ ( ssNder1_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G )
| ~ ( ssNder1_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
| ~ ( ssNder1_5r1r1r1r1r1 @ A @ B @ C @ D @ E )
| ~ ( ssNder1_4r1r1r1r1 @ A @ B @ C @ D )
| ~ ( ssNder1_3r1r1r1 @ A @ B @ C )
| ~ ( ssNder1_2r1r1 @ A @ B )
| ~ ( ssNder1_1r1 @ A )
| ~ ssNder1_0
| ( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[37]) ).
thf(119,plain,
! [P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O )
| ~ ( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
| ~ ( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M )
| ~ ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L )
| ~ ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
| ~ ( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J )
| ~ ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I )
| ~ ( ssNder1_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H )
| ~ ( ssNder1_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G )
| ~ ( ssNder1_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
| ~ ( ssNder1_5r1r1r1r1r1 @ A @ B @ C @ D @ E )
| ~ ( ssNder1_4r1r1r1r1 @ A @ B @ C @ D )
| ~ ( ssNder1_3r1r1r1 @ A @ B @ C )
| ~ ( ssNder1_2r1r1 @ A @ B )
| ~ ( ssNder1_1r1 @ A )
| ~ ssNder1_0
| ( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P ) ),
inference(cnf,[status(esa)],[67]) ).
thf(271,plain,
! [P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O )
| ~ ( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
| ~ ( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M )
| ~ ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L )
| ~ ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
| ~ ( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J )
| ~ ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I )
| ~ ( ssNder1_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H )
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P ) ),
inference(rewrite,[status(thm)],[119,224,194,181,169,58,171,220,173]) ).
thf(272,plain,
! [P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O )
| ~ ( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
| ~ ( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M )
| ~ ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L )
| ~ ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
| ~ ( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J )
| ~ ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I )
| ~ ( ssNder1_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H )
| ( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P ) ),
inference(simp,[status(thm)],[271]) ).
thf(273,plain,
! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I )
| ~ ( ssNder1_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H )
| ~ ( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y )
| ~ ( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X )
| ~ ( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W )
| ~ ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V )
| ~ ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U )
| ~ ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ K @ L @ M @ N @ O @ P @ Q @ R @ S )
| ~ ( ssNder1_8r1r1r1r1r1r1r1r1 @ K @ L @ M @ N @ O @ P @ Q @ R )
| ( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
| ( ( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J )
!= ( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T ) ) ),
inference(paramod_ordered,[status(thm)],[226,272]) ).
thf(274,plain,
! [P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I )
| ~ ( ssNder1_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H )
| ~ ( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O )
| ~ ( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
| ~ ( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M )
| ~ ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L )
| ~ ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
| ~ ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I )
| ~ ( ssNder1_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H )
| ( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P ) ),
inference(pattern_uni,[status(thm)],[273:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( C )),bind(D,$thf( D )),bind(E,$thf( E )),bind(F,$thf( F )),bind(G,$thf( G )),bind(H,$thf( H )),bind(I,$thf( I )),bind(J,$thf( J )),bind(K,$thf( A )),bind(L,$thf( B )),bind(M,$thf( C )),bind(N,$thf( D )),bind(O,$thf( E )),bind(P,$thf( F )),bind(Q,$thf( G )),bind(R,$thf( H )),bind(S,$thf( I )),bind(T,$thf( J ))]]) ).
thf(277,plain,
! [P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I )
| ~ ( ssNder1_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H )
| ~ ( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O )
| ~ ( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
| ~ ( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M )
| ~ ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L )
| ~ ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
| ( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P ) ),
inference(simp,[status(thm)],[274]) ).
thf(284,plain,
! [P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I )
| ~ $true
| ~ ( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O )
| ~ ( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
| ~ ( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M )
| ~ ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L )
| ~ ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
| ( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P ) ),
inference(rewrite,[status(thm)],[277,283]) ).
thf(285,plain,
! [P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I )
| ~ ( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O )
| ~ ( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
| ~ ( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M )
| ~ ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L )
| ~ ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
| ( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P ) ),
inference(simp,[status(thm)],[284]) ).
thf(333,plain,
! [P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ $true
| ~ ( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O )
| ~ ( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
| ~ ( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M )
| ~ ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L )
| ~ ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
| ( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P ) ),
inference(rewrite,[status(thm)],[285,304]) ).
thf(334,plain,
! [P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O )
| ~ ( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
| ~ ( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M )
| ~ ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L )
| ~ ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
| ( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P ) ),
inference(simp,[status(thm)],[333]) ).
thf(370,plain,
! [P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O )
| ~ ( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
| ~ ( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M )
| ~ ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L )
| ~ $true
| ( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P ) ),
inference(rewrite,[status(thm)],[334,361]) ).
thf(371,plain,
! [P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O )
| ~ ( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
| ~ ( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M )
| ~ ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L )
| ( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P ) ),
inference(simp,[status(thm)],[370]) ).
thf(411,plain,
! [ZC: $i,ZB: $i,ZA: $i,Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L )
| ~ ( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z @ ZA @ ZB )
| ~ ( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z @ ZA )
| ~ ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y )
| ( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z @ ZA @ ZB @ ZC )
| ( ( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M )
!= ( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ) ),
inference(paramod_ordered,[status(thm)],[379,371]) ).
thf(412,plain,
! [P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L )
| ~ ( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O )
| ~ ( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
| ~ ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L )
| ( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P ) ),
inference(pattern_uni,[status(thm)],[411:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( C )),bind(D,$thf( D )),bind(E,$thf( E )),bind(F,$thf( F )),bind(G,$thf( G )),bind(H,$thf( H )),bind(I,$thf( I )),bind(J,$thf( J )),bind(K,$thf( K )),bind(L,$thf( L )),bind(M,$thf( M )),bind(N,$thf( A )),bind(O,$thf( B )),bind(P,$thf( C )),bind(Q,$thf( D )),bind(R,$thf( E )),bind(S,$thf( F )),bind(T,$thf( G )),bind(U,$thf( H )),bind(V,$thf( I )),bind(W,$thf( J )),bind(X,$thf( K )),bind(Y,$thf( L )),bind(Z,$thf( M ))]]) ).
thf(413,plain,
! [P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L )
| ~ ( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O )
| ~ ( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
| ( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P ) ),
inference(simp,[status(thm)],[412]) ).
thf(440,plain,
! [P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ $true
| ~ ( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O )
| ~ ( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
| ( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P ) ),
inference(rewrite,[status(thm)],[413,435]) ).
thf(441,plain,
! [P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O )
| ~ ( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
| ( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P ) ),
inference(simp,[status(thm)],[440]) ).
thf(1021,plain,
! [P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O )
| ~ $true
| ( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P ) ),
inference(rewrite,[status(thm)],[441,970]) ).
thf(1022,plain,
! [P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O )
| ( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P ) ),
inference(simp,[status(thm)],[1021]) ).
thf(1105,plain,
! [P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ $true
| ( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P ) ),
inference(rewrite,[status(thm)],[1022,1088]) ).
thf(1106,plain,
! [P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] : ( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P ),
inference(simp,[status(thm)],[1105]) ).
thf(40,negated_conjecture,
! [Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P )
| ~ ( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O )
| ~ ( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
| ~ ( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M )
| ~ ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L )
| ~ ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
| ~ ( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J )
| ~ ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I )
| ~ ( ssNder1_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H )
| ~ ( ssNder1_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G )
| ~ ( ssNder1_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
| ~ ( ssNder1_5r1r1r1r1r1 @ A @ B @ C @ D @ E )
| ~ ( ssNder1_4r1r1r1r1 @ A @ B @ C @ D )
| ~ ( ssNder1_3r1r1r1 @ A @ B @ C )
| ~ ( ssNder1_2r1r1 @ A @ B )
| ~ ( ssNder1_1r1 @ A )
| ~ ssNder1_0
| ( ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause40) ).
thf(103,plain,
! [Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P )
| ~ ( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O )
| ~ ( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
| ~ ( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M )
| ~ ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L )
| ~ ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
| ~ ( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J )
| ~ ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I )
| ~ ( ssNder1_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H )
| ~ ( ssNder1_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G )
| ~ ( ssNder1_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
| ~ ( ssNder1_5r1r1r1r1r1 @ A @ B @ C @ D @ E )
| ~ ( ssNder1_4r1r1r1r1 @ A @ B @ C @ D )
| ~ ( ssNder1_3r1r1r1 @ A @ B @ C )
| ~ ( ssNder1_2r1r1 @ A @ B )
| ~ ( ssNder1_1r1 @ A )
| ~ ssNder1_0
| ( ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[40]) ).
thf(148,plain,
! [Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P )
| ~ ( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O )
| ~ ( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
| ~ ( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M )
| ~ ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L )
| ~ ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
| ~ ( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J )
| ~ ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I )
| ~ ( ssNder1_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H )
| ~ ( ssNder1_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G )
| ~ ( ssNder1_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
| ~ ( ssNder1_5r1r1r1r1r1 @ A @ B @ C @ D @ E )
| ~ ( ssNder1_4r1r1r1r1 @ A @ B @ C @ D )
| ~ ( ssNder1_3r1r1r1 @ A @ B @ C )
| ~ ( ssNder1_2r1r1 @ A @ B )
| ~ ( ssNder1_1r1 @ A )
| ~ ssNder1_0
| ( ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q ) ),
inference(cnf,[status(esa)],[103]) ).
thf(841,plain,
! [Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P )
| ~ ( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O )
| ~ ( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ( ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q ) ),
inference(rewrite,[status(thm)],[148,224,194,169,361,171,173,304,435,181,437,58,314,283,220]) ).
thf(842,plain,
! [Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P )
| ~ ( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O )
| ~ ( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
| ( ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q ) ),
inference(simp,[status(thm)],[841]) ).
thf(851,plain,
! [ZG: $i,ZF: $i,ZE: $i,ZD: $i,ZC: $i,ZB: $i,ZA: $i,Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O )
| ~ ( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
| ~ ( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z @ ZA @ ZB @ ZC @ ZD @ ZE )
| ~ ( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z @ ZA @ ZB @ ZC @ ZD )
| ( ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z @ ZA @ ZB @ ZC @ ZD @ ZE @ ZF @ ZG )
| ( ( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P )
!= ( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z @ ZA @ ZB @ ZC @ ZD @ ZE @ ZF ) ) ),
inference(paramod_ordered,[status(thm)],[441,842]) ).
thf(852,plain,
! [Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O )
| ~ ( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
| ~ ( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O )
| ~ ( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
| ( ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q ) ),
inference(pattern_uni,[status(thm)],[851:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( C )),bind(D,$thf( D )),bind(E,$thf( E )),bind(F,$thf( F )),bind(G,$thf( G )),bind(H,$thf( H )),bind(I,$thf( I )),bind(J,$thf( J )),bind(K,$thf( K )),bind(L,$thf( L )),bind(M,$thf( M )),bind(N,$thf( N )),bind(O,$thf( O )),bind(P,$thf( P )),bind(Q,$thf( A )),bind(R,$thf( B )),bind(S,$thf( C )),bind(T,$thf( D )),bind(U,$thf( E )),bind(V,$thf( F )),bind(W,$thf( G )),bind(X,$thf( H )),bind(Y,$thf( I )),bind(Z,$thf( J )),bind(ZA,$thf( K )),bind(ZB,$thf( L )),bind(ZC,$thf( M )),bind(ZD,$thf( N )),bind(ZE,$thf( O )),bind(ZF,$thf( P ))]]) ).
thf(857,plain,
! [Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O )
| ~ ( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
| ( ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q ) ),
inference(simp,[status(thm)],[852]) ).
thf(995,plain,
! [Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O )
| ~ $true
| ( ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q ) ),
inference(rewrite,[status(thm)],[857,970]) ).
thf(996,plain,
! [Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O )
| ( ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q ) ),
inference(simp,[status(thm)],[995]) ).
thf(44,negated_conjecture,
! [R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
| ~ ( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P )
| ~ ( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O )
| ~ ( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
| ~ ( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M )
| ~ ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L )
| ~ ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
| ~ ( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J )
| ~ ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I )
| ~ ( ssNder1_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H )
| ~ ( ssNder1_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G )
| ~ ( ssNder1_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
| ~ ( ssNder1_5r1r1r1r1r1 @ A @ B @ C @ D @ E )
| ~ ( ssNder1_4r1r1r1r1 @ A @ B @ C @ D )
| ~ ( ssNder1_3r1r1r1 @ A @ B @ C )
| ~ ( ssNder1_2r1r1 @ A @ B )
| ~ ( ssNder1_1r1 @ A )
| ~ ssNder1_0
| ( ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause44) ).
thf(87,plain,
! [R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
| ~ ( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P )
| ~ ( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O )
| ~ ( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
| ~ ( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M )
| ~ ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L )
| ~ ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
| ~ ( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J )
| ~ ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I )
| ~ ( ssNder1_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H )
| ~ ( ssNder1_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G )
| ~ ( ssNder1_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
| ~ ( ssNder1_5r1r1r1r1r1 @ A @ B @ C @ D @ E )
| ~ ( ssNder1_4r1r1r1r1 @ A @ B @ C @ D )
| ~ ( ssNder1_3r1r1r1 @ A @ B @ C )
| ~ ( ssNder1_2r1r1 @ A @ B )
| ~ ( ssNder1_1r1 @ A )
| ~ ssNder1_0
| ( ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[44]) ).
thf(155,plain,
! [R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
| ~ ( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P )
| ~ ( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O )
| ~ ( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
| ~ ( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M )
| ~ ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L )
| ~ ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
| ~ ( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J )
| ~ ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I )
| ~ ( ssNder1_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H )
| ~ ( ssNder1_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G )
| ~ ( ssNder1_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
| ~ ( ssNder1_5r1r1r1r1r1 @ A @ B @ C @ D @ E )
| ~ ( ssNder1_4r1r1r1r1 @ A @ B @ C @ D )
| ~ ( ssNder1_3r1r1r1 @ A @ B @ C )
| ~ ( ssNder1_2r1r1 @ A @ B )
| ~ ( ssNder1_1r1 @ A )
| ~ ssNder1_0
| ( ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R ) ),
inference(cnf,[status(esa)],[87]) ).
thf(1052,plain,
! [R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
| ~ ( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P )
| ~ ( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O )
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ( ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R ) ),
inference(rewrite,[status(thm)],[155,224,194,169,361,970,171,173,304,435,181,437,58,314,283,220]) ).
thf(1053,plain,
! [R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
| ~ ( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P )
| ~ ( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O )
| ( ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R ) ),
inference(simp,[status(thm)],[1052]) ).
thf(1057,plain,
! [ZI: $i,ZH: $i,ZG: $i,ZF: $i,ZE: $i,ZD: $i,ZC: $i,ZB: $i,ZA: $i,Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O )
| ~ ( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ R @ S @ T @ U @ V @ W @ X @ Y @ Z @ ZA @ ZB @ ZC @ ZD @ ZE @ ZF @ ZG )
| ~ ( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ R @ S @ T @ U @ V @ W @ X @ Y @ Z @ ZA @ ZB @ ZC @ ZD @ ZE @ ZF )
| ( ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ R @ S @ T @ U @ V @ W @ X @ Y @ Z @ ZA @ ZB @ ZC @ ZD @ ZE @ ZF @ ZG @ ZH @ ZI )
| ( ( ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
!= ( ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ R @ S @ T @ U @ V @ W @ X @ Y @ Z @ ZA @ ZB @ ZC @ ZD @ ZE @ ZF @ ZG @ ZH ) ) ),
inference(paramod_ordered,[status(thm)],[996,1053]) ).
thf(1058,plain,
! [R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O )
| ~ ( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P )
| ~ ( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O )
| ( ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R ) ),
inference(pattern_uni,[status(thm)],[1057:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( C )),bind(D,$thf( D )),bind(E,$thf( E )),bind(F,$thf( F )),bind(G,$thf( G )),bind(H,$thf( H )),bind(I,$thf( I )),bind(J,$thf( J )),bind(K,$thf( K )),bind(L,$thf( L )),bind(M,$thf( M )),bind(N,$thf( N )),bind(O,$thf( O )),bind(P,$thf( P )),bind(Q,$thf( Q )),bind(R,$thf( A )),bind(S,$thf( B )),bind(T,$thf( C )),bind(U,$thf( D )),bind(V,$thf( E )),bind(W,$thf( F )),bind(X,$thf( G )),bind(Y,$thf( H )),bind(Z,$thf( I )),bind(ZA,$thf( J )),bind(ZB,$thf( K )),bind(ZC,$thf( L )),bind(ZD,$thf( M )),bind(ZE,$thf( N )),bind(ZF,$thf( O )),bind(ZG,$thf( P )),bind(ZH,$thf( Q ))]]) ).
thf(1059,plain,
! [R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O )
| ~ ( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P )
| ( ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R ) ),
inference(simp,[status(thm)],[1058]) ).
thf(1060,plain,
! [ZH: $i,ZG: $i,ZF: $i,ZE: $i,ZD: $i,ZC: $i,ZB: $i,ZA: $i,Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O )
| ~ ( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z @ ZA @ ZB @ ZC @ ZD @ ZE )
| ( ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z @ ZA @ ZB @ ZC @ ZD @ ZE @ ZF @ ZG @ ZH )
| ( ( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P )
!= ( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z @ ZA @ ZB @ ZC @ ZD @ ZE @ ZF ) ) ),
inference(paramod_ordered,[status(thm)],[1022,1059]) ).
thf(1061,plain,
! [R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O )
| ~ ( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O )
| ( ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R ) ),
inference(pattern_uni,[status(thm)],[1060:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( C )),bind(D,$thf( D )),bind(E,$thf( E )),bind(F,$thf( F )),bind(G,$thf( G )),bind(H,$thf( H )),bind(I,$thf( I )),bind(J,$thf( J )),bind(K,$thf( K )),bind(L,$thf( L )),bind(M,$thf( M )),bind(N,$thf( N )),bind(O,$thf( O )),bind(P,$thf( P )),bind(Q,$thf( A )),bind(R,$thf( B )),bind(S,$thf( C )),bind(T,$thf( D )),bind(U,$thf( E )),bind(V,$thf( F )),bind(W,$thf( G )),bind(X,$thf( H )),bind(Y,$thf( I )),bind(Z,$thf( J )),bind(ZA,$thf( K )),bind(ZB,$thf( L )),bind(ZC,$thf( M )),bind(ZD,$thf( N )),bind(ZE,$thf( O )),bind(ZF,$thf( P ))]]) ).
thf(1062,plain,
! [R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O )
| ( ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R ) ),
inference(simp,[status(thm)],[1061]) ).
thf(1107,plain,
! [R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ $true
| ( ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R ) ),
inference(rewrite,[status(thm)],[1062,1088]) ).
thf(1108,plain,
! [R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] : ( ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R ),
inference(simp,[status(thm)],[1107]) ).
thf(1093,plain,
! [Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ $true
| ( ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q ) ),
inference(rewrite,[status(thm)],[996,1088]) ).
thf(1094,plain,
! [Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] : ( ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q ),
inference(simp,[status(thm)],[1093]) ).
thf(43,negated_conjecture,
! [P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O )
| ~ ( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
| ~ ( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M )
| ~ ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L )
| ~ ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
| ~ ( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J )
| ~ ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I )
| ~ ( ssNder1_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H )
| ~ ( ssNder1_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G )
| ~ ( ssNder1_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
| ~ ( ssNder1_5r1r1r1r1r1 @ A @ B @ C @ D @ E )
| ~ ( ssNder1_4r1r1r1r1 @ A @ B @ C @ D )
| ~ ( ssNder1_3r1r1r1 @ A @ B @ C )
| ~ ( ssNder1_2r1r1 @ A @ B )
| ~ ( ssNder1_1r1 @ A )
| ~ ssNder1_0
| ( ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O )
| ( ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P )
| ( ssPv10_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
| ( ssPv20_1r1 @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause43) ).
thf(102,plain,
! [P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O )
| ~ ( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
| ~ ( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M )
| ~ ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L )
| ~ ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
| ~ ( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J )
| ~ ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I )
| ~ ( ssNder1_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H )
| ~ ( ssNder1_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G )
| ~ ( ssNder1_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
| ~ ( ssNder1_5r1r1r1r1r1 @ A @ B @ C @ D @ E )
| ~ ( ssNder1_4r1r1r1r1 @ A @ B @ C @ D )
| ~ ( ssNder1_3r1r1r1 @ A @ B @ C )
| ~ ( ssNder1_2r1r1 @ A @ B )
| ~ ( ssNder1_1r1 @ A )
| ~ ssNder1_0
| ( ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O )
| ( ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P )
| ( ssPv10_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
| ( ssPv20_1r1 @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[43]) ).
thf(134,plain,
! [P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O )
| ~ ( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
| ~ ( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M )
| ~ ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L )
| ~ ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
| ~ ( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J )
| ~ ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I )
| ~ ( ssNder1_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H )
| ~ ( ssNder1_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G )
| ~ ( ssNder1_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
| ~ ( ssNder1_5r1r1r1r1r1 @ A @ B @ C @ D @ E )
| ~ ( ssNder1_4r1r1r1r1 @ A @ B @ C @ D )
| ~ ( ssNder1_3r1r1r1 @ A @ B @ C )
| ~ ( ssNder1_2r1r1 @ A @ B )
| ~ ( ssNder1_1r1 @ A )
| ~ ssNder1_0
| ( ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O )
| ( ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P )
| ( ssPv10_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
| ( ssPv20_1r1 @ A ) ),
inference(cnf,[status(esa)],[102]) ).
thf(494,plain,
! [P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O )
| ~ ( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ( ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O )
| ( ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P )
| ( ssPv10_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
| ( ssPv20_1r1 @ A ) ),
inference(rewrite,[status(thm)],[134,224,194,169,361,171,173,304,435,181,437,58,314,283,220]) ).
thf(495,plain,
! [P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O )
| ~ ( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
| ( ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O )
| ( ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P )
| ( ssPv10_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
| ( ssPv20_1r1 @ A ) ),
inference(simp,[status(thm)],[494]) ).
thf(35,negated_conjecture,
! [O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ skc17 )
| ~ ( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
| ~ ( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M )
| ~ ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L )
| ~ ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
| ~ ( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J )
| ~ ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I )
| ~ ( ssNder1_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H )
| ~ ( ssNder1_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G )
| ~ ( ssNder1_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
| ~ ( ssNder1_5r1r1r1r1r1 @ A @ B @ C @ D @ E )
| ~ ( ssNder1_4r1r1r1r1 @ A @ B @ C @ D )
| ~ ( ssNder1_3r1r1r1 @ A @ B @ C )
| ~ ( ssNder1_2r1r1 @ A @ B )
| ~ ( ssNder1_1r1 @ A )
| ~ ssNder1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause35) ).
thf(95,plain,
! [O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ skc17 )
| ~ ( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
| ~ ( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M )
| ~ ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L )
| ~ ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
| ~ ( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J )
| ~ ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I )
| ~ ( ssNder1_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H )
| ~ ( ssNder1_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G )
| ~ ( ssNder1_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
| ~ ( ssNder1_5r1r1r1r1r1 @ A @ B @ C @ D @ E )
| ~ ( ssNder1_4r1r1r1r1 @ A @ B @ C @ D )
| ~ ( ssNder1_3r1r1r1 @ A @ B @ C )
| ~ ( ssNder1_2r1r1 @ A @ B )
| ~ ( ssNder1_1r1 @ A )
| ~ ssNder1_0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[35]) ).
thf(153,plain,
! [O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ skc17 )
| ~ ( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
| ~ ( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M )
| ~ ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L )
| ~ ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
| ~ ( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J )
| ~ ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I )
| ~ ( ssNder1_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H )
| ~ ( ssNder1_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G )
| ~ ( ssNder1_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
| ~ ( ssNder1_5r1r1r1r1r1 @ A @ B @ C @ D @ E )
| ~ ( ssNder1_4r1r1r1r1 @ A @ B @ C @ D )
| ~ ( ssNder1_3r1r1r1 @ A @ B @ C )
| ~ ( ssNder1_2r1r1 @ A @ B )
| ~ ( ssNder1_1r1 @ A )
| ~ ssNder1_0 ),
inference(cnf,[status(esa)],[95]) ).
thf(321,plain,
! [O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ skc17 )
| ~ ( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
| ~ ( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M )
| ~ ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L )
| ~ ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true ),
inference(rewrite,[status(thm)],[153,224,304,194,181,169,58,314,171,283,220,173]) ).
thf(322,plain,
! [O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ skc17 )
| ~ ( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
| ~ ( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M )
| ~ ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L )
| ~ ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K ) ),
inference(simp,[status(thm)],[321]) ).
thf(374,plain,
! [O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ skc17 )
| ~ ( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
| ~ ( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M )
| ~ ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L )
| ~ $true ),
inference(rewrite,[status(thm)],[322,361]) ).
thf(375,plain,
! [O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ skc17 )
| ~ ( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
| ~ ( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M )
| ~ ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L ) ),
inference(simp,[status(thm)],[374]) ).
thf(383,plain,
! [ZB: $i,ZA: $i,Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L )
| ~ ( ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z @ ZA @ ZB @ skc17 )
| ~ ( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z @ ZA )
| ~ ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y )
| ( ( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M )
!= ( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ) ),
inference(paramod_ordered,[status(thm)],[379,375]) ).
thf(384,plain,
! [O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L )
| ~ ( ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ skc17 )
| ~ ( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
| ~ ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L ) ),
inference(pattern_uni,[status(thm)],[383:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( C )),bind(D,$thf( D )),bind(E,$thf( E )),bind(F,$thf( F )),bind(G,$thf( G )),bind(H,$thf( H )),bind(I,$thf( I )),bind(J,$thf( J )),bind(K,$thf( K )),bind(L,$thf( L )),bind(M,$thf( M )),bind(N,$thf( A )),bind(O,$thf( B )),bind(P,$thf( C )),bind(Q,$thf( D )),bind(R,$thf( E )),bind(S,$thf( F )),bind(T,$thf( G )),bind(U,$thf( H )),bind(V,$thf( I )),bind(W,$thf( J )),bind(X,$thf( K )),bind(Y,$thf( L )),bind(Z,$thf( M ))]]) ).
thf(385,plain,
! [O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L )
| ~ ( ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ skc17 )
| ~ ( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N ) ),
inference(simp,[status(thm)],[384]) ).
thf(438,plain,
! [O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ $true
| ~ ( ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ skc17 )
| ~ ( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N ) ),
inference(rewrite,[status(thm)],[385,435]) ).
thf(439,plain,
! [O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ skc17 )
| ~ ( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N ) ),
inference(simp,[status(thm)],[438]) ).
thf(496,plain,
! [ZE: $i,ZD: $i,ZC: $i,ZB: $i,ZA: $i,Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O )
| ~ ( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
| ( ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O )
| ( ssPv10_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
| ( ssPv20_1r1 @ A )
| ~ ( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z @ ZA @ ZB @ ZC @ ZD )
| ( ( ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P )
!= ( ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z @ ZA @ ZB @ ZC @ ZD @ ZE @ skc17 ) ) ),
inference(paramod_ordered,[status(thm)],[495,439]) ).
thf(497,plain,
! [O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O )
| ~ ( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
| ( ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O )
| ( ssPv10_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
| ( ssPv20_1r1 @ A )
| ~ ( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N ) ),
inference(pattern_uni,[status(thm)],[496:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( C )),bind(D,$thf( D )),bind(E,$thf( E )),bind(F,$thf( F )),bind(G,$thf( G )),bind(H,$thf( H )),bind(I,$thf( I )),bind(J,$thf( J )),bind(K,$thf( K )),bind(L,$thf( L )),bind(M,$thf( M )),bind(N,$thf( N )),bind(O,$thf( O )),bind(P,$thf( skc17 )),bind(Q,$thf( A )),bind(R,$thf( B )),bind(S,$thf( C )),bind(T,$thf( D )),bind(U,$thf( E )),bind(V,$thf( F )),bind(W,$thf( G )),bind(X,$thf( H )),bind(Y,$thf( I )),bind(Z,$thf( J )),bind(ZA,$thf( K )),bind(ZB,$thf( L )),bind(ZC,$thf( M )),bind(ZD,$thf( N )),bind(ZE,$thf( O ))]]) ).
thf(498,plain,
! [O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O )
| ~ ( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
| ( ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O )
| ( ssPv10_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
| ( ssPv20_1r1 @ A ) ),
inference(simp,[status(thm)],[497]) ).
thf(1007,plain,
! [O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O )
| ~ $true
| ( ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O )
| ( ssPv10_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
| ( ssPv20_1r1 @ A ) ),
inference(rewrite,[status(thm)],[498,970]) ).
thf(1008,plain,
! [O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O )
| ( ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O )
| ( ssPv10_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
| ( ssPv20_1r1 @ A ) ),
inference(simp,[status(thm)],[1007]) ).
thf(47,negated_conjecture,
! [Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P )
| ~ ( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O )
| ~ ( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
| ~ ( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M )
| ~ ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L )
| ~ ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
| ~ ( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J )
| ~ ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I )
| ~ ( ssNder1_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H )
| ~ ( ssNder1_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G )
| ~ ( ssPv15_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
| ~ ( ssNder1_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
| ~ ( ssNder1_5r1r1r1r1r1 @ A @ B @ C @ D @ E )
| ~ ( ssNder1_4r1r1r1r1 @ A @ B @ C @ D )
| ~ ( ssNder1_3r1r1r1 @ A @ B @ C )
| ~ ( ssNder1_2r1r1 @ A @ B )
| ~ ( ssNder1_1r1 @ A )
| ~ ssNder1_0
| ( ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P )
| ( ssPv4_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
| ( ssPv11_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause47) ).
thf(111,plain,
! [Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P )
| ~ ( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O )
| ~ ( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
| ~ ( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M )
| ~ ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L )
| ~ ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
| ~ ( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J )
| ~ ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I )
| ~ ( ssNder1_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H )
| ~ ( ssNder1_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G )
| ~ ( ssPv15_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
| ~ ( ssNder1_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
| ~ ( ssNder1_5r1r1r1r1r1 @ A @ B @ C @ D @ E )
| ~ ( ssNder1_4r1r1r1r1 @ A @ B @ C @ D )
| ~ ( ssNder1_3r1r1r1 @ A @ B @ C )
| ~ ( ssNder1_2r1r1 @ A @ B )
| ~ ( ssNder1_1r1 @ A )
| ~ ssNder1_0
| ( ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P )
| ( ssPv4_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
| ( ssPv11_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[47]) ).
thf(167,plain,
! [Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P )
| ~ ( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O )
| ~ ( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
| ~ ( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M )
| ~ ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L )
| ~ ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
| ~ ( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J )
| ~ ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I )
| ~ ( ssNder1_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H )
| ~ ( ssNder1_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G )
| ~ ( ssPv15_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
| ~ ( ssNder1_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
| ~ ( ssNder1_5r1r1r1r1r1 @ A @ B @ C @ D @ E )
| ~ ( ssNder1_4r1r1r1r1 @ A @ B @ C @ D )
| ~ ( ssNder1_3r1r1r1 @ A @ B @ C )
| ~ ( ssNder1_2r1r1 @ A @ B )
| ~ ( ssNder1_1r1 @ A )
| ~ ssNder1_0
| ( ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P )
| ( ssPv4_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
| ( ssPv11_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J ) ),
inference(cnf,[status(esa)],[111]) ).
thf(1193,plain,
! [Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ ( ssPv15_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ( ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P )
| ( ssPv4_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
| ( ssPv11_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J ) ),
inference(rewrite,[status(thm)],[167,224,1088,194,169,361,970,171,173,304,1106,435,181,437,58,314,283,220]) ).
thf(1194,plain,
! [Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssPv15_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
| ( ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P )
| ( ssPv4_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
| ( ssPv11_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J ) ),
inference(simp,[status(thm)],[1193]) ).
thf(1199,plain,
! [V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U )
| ( ssPv4_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V )
| ( ssPv11_10r1r1r1r1r1r1r1r1r1r1 @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O )
| ( ( ssPv15_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ skc28 )
!= ( ssPv15_6r1r1r1r1r1r1 @ F @ G @ H @ I @ J @ K ) ) ),
inference(paramod_ordered,[status(thm)],[207,1194]) ).
thf(1200,plain,
! [P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ skc28 @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O )
| ( ssPv4_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ skc28 @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P )
| ( ssPv11_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ skc28 @ F @ G @ H @ I ) ),
inference(pattern_uni,[status(thm)],[1199:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( C )),bind(D,$thf( D )),bind(E,$thf( E )),bind(F,$thf( A )),bind(G,$thf( B )),bind(H,$thf( C )),bind(I,$thf( D )),bind(J,$thf( E )),bind(K,$thf( skc28 ))]]) ).
thf(1201,plain,
! [P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ skc28 @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O )
| ( ssPv4_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ skc28 @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P )
| ( ssPv11_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ skc28 @ F @ G @ H @ I ) ),
inference(simp,[status(thm)],[1200]) ).
thf(38,negated_conjecture,
! [P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O )
| ~ ( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
| ~ ( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M )
| ~ ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L )
| ~ ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
| ~ ( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J )
| ~ ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I )
| ~ ( ssNder1_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H )
| ~ ( ssNder1_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G )
| ~ ( ssPv15_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
| ~ ( ssNder1_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
| ~ ( ssNder1_5r1r1r1r1r1 @ A @ B @ C @ D @ E )
| ~ ( ssNder1_4r1r1r1r1 @ A @ B @ C @ D )
| ~ ( ssNder1_3r1r1r1 @ A @ B @ C )
| ~ ( ssNder1_2r1r1 @ A @ B )
| ~ ( ssPv20_1r1 @ A )
| ~ ( ssNder1_1r1 @ A )
| ~ ssNder1_0
| ( ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P )
| ( ssPv19_2r1r1 @ A @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause38) ).
thf(77,plain,
! [P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O )
| ~ ( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
| ~ ( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M )
| ~ ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L )
| ~ ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
| ~ ( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J )
| ~ ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I )
| ~ ( ssNder1_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H )
| ~ ( ssNder1_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G )
| ~ ( ssPv15_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
| ~ ( ssNder1_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
| ~ ( ssNder1_5r1r1r1r1r1 @ A @ B @ C @ D @ E )
| ~ ( ssNder1_4r1r1r1r1 @ A @ B @ C @ D )
| ~ ( ssNder1_3r1r1r1 @ A @ B @ C )
| ~ ( ssNder1_2r1r1 @ A @ B )
| ~ ( ssPv20_1r1 @ A )
| ~ ( ssNder1_1r1 @ A )
| ~ ssNder1_0
| ( ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P )
| ( ssPv19_2r1r1 @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[38]) ).
thf(139,plain,
! [P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O )
| ~ ( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
| ~ ( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M )
| ~ ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L )
| ~ ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
| ~ ( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J )
| ~ ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I )
| ~ ( ssNder1_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H )
| ~ ( ssNder1_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G )
| ~ ( ssPv15_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
| ~ ( ssNder1_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
| ~ ( ssNder1_5r1r1r1r1r1 @ A @ B @ C @ D @ E )
| ~ ( ssNder1_4r1r1r1r1 @ A @ B @ C @ D )
| ~ ( ssNder1_3r1r1r1 @ A @ B @ C )
| ~ ( ssNder1_2r1r1 @ A @ B )
| ~ ( ssPv20_1r1 @ A )
| ~ ( ssNder1_1r1 @ A )
| ~ ssNder1_0
| ( ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P )
| ( ssPv19_2r1r1 @ A @ B ) ),
inference(cnf,[status(esa)],[77]) ).
thf(728,plain,
! [P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O )
| ~ ( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ ( ssPv15_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ ( ssPv20_1r1 @ A )
| ~ $true
| ~ $true
| ( ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P )
| ( ssPv19_2r1r1 @ A @ B ) ),
inference(rewrite,[status(thm)],[139,224,194,169,361,171,173,304,435,181,437,58,314,283,220]) ).
thf(729,plain,
! [P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O )
| ~ ( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
| ~ ( ssPv15_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
| ~ ( ssPv20_1r1 @ A )
| ( ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P )
| ( ssPv19_2r1r1 @ A @ B ) ),
inference(simp,[status(thm)],[728]) ).
thf(732,plain,
! [ZE: $i,ZD: $i,ZC: $i,ZB: $i,ZA: $i,Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O )
| ~ ( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
| ~ ( ssPv15_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
| ~ ( ssPv20_1r1 @ A )
| ( ssPv19_2r1r1 @ A @ B )
| ~ ( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z @ ZA @ ZB @ ZC @ ZD )
| ( ( ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P )
!= ( ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z @ ZA @ ZB @ ZC @ ZD @ ZE @ skc17 ) ) ),
inference(paramod_ordered,[status(thm)],[729,439]) ).
thf(733,plain,
! [O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O )
| ~ ( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
| ~ ( ssPv15_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
| ~ ( ssPv20_1r1 @ A )
| ( ssPv19_2r1r1 @ A @ B )
| ~ ( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N ) ),
inference(pattern_uni,[status(thm)],[732:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( C )),bind(D,$thf( D )),bind(E,$thf( E )),bind(F,$thf( F )),bind(G,$thf( G )),bind(H,$thf( H )),bind(I,$thf( I )),bind(J,$thf( J )),bind(K,$thf( K )),bind(L,$thf( L )),bind(M,$thf( M )),bind(N,$thf( N )),bind(O,$thf( O )),bind(P,$thf( skc17 )),bind(Q,$thf( A )),bind(R,$thf( B )),bind(S,$thf( C )),bind(T,$thf( D )),bind(U,$thf( E )),bind(V,$thf( F )),bind(W,$thf( G )),bind(X,$thf( H )),bind(Y,$thf( I )),bind(Z,$thf( J )),bind(ZA,$thf( K )),bind(ZB,$thf( L )),bind(ZC,$thf( M )),bind(ZD,$thf( N )),bind(ZE,$thf( O ))]]) ).
thf(740,plain,
! [O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O )
| ~ ( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
| ~ ( ssPv15_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
| ~ ( ssPv20_1r1 @ A )
| ( ssPv19_2r1r1 @ A @ B ) ),
inference(simp,[status(thm)],[733]) ).
thf(742,plain,
! [T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T )
| ~ ( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S )
| ~ ( ssPv20_1r1 @ F )
| ( ssPv19_2r1r1 @ F @ G )
| ( ( ssPv15_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ skc28 )
!= ( ssPv15_6r1r1r1r1r1r1 @ F @ G @ H @ I @ J @ K ) ) ),
inference(paramod_ordered,[status(thm)],[207,740]) ).
thf(743,plain,
! [N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ skc28 @ F @ G @ H @ I @ J @ K @ L @ M @ N )
| ~ ( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ skc28 @ F @ G @ H @ I @ J @ K @ L @ M )
| ~ ( ssPv20_1r1 @ A )
| ( ssPv19_2r1r1 @ A @ B ) ),
inference(pattern_uni,[status(thm)],[742:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( C )),bind(D,$thf( D )),bind(E,$thf( E )),bind(F,$thf( A )),bind(G,$thf( B )),bind(H,$thf( C )),bind(I,$thf( D )),bind(J,$thf( E )),bind(K,$thf( skc28 ))]]) ).
thf(744,plain,
! [N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ skc28 @ F @ G @ H @ I @ J @ K @ L @ M @ N )
| ~ ( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ skc28 @ F @ G @ H @ I @ J @ K @ L @ M )
| ~ ( ssPv20_1r1 @ A )
| ( ssPv19_2r1r1 @ A @ B ) ),
inference(simp,[status(thm)],[743]) ).
thf(1023,plain,
! [N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ skc28 @ F @ G @ H @ I @ J @ K @ L @ M @ N )
| ~ $true
| ~ ( ssPv20_1r1 @ A )
| ( ssPv19_2r1r1 @ A @ B ) ),
inference(rewrite,[status(thm)],[744,970]) ).
thf(1024,plain,
! [N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ skc28 @ F @ G @ H @ I @ J @ K @ L @ M @ N )
| ~ ( ssPv20_1r1 @ A )
| ( ssPv19_2r1r1 @ A @ B ) ),
inference(simp,[status(thm)],[1023]) ).
thf(1099,plain,
! [B: $i,A: $i] :
( ~ $true
| ~ ( ssPv20_1r1 @ A )
| ( ssPv19_2r1r1 @ A @ B ) ),
inference(rewrite,[status(thm)],[1024,1088]) ).
thf(1100,plain,
! [B: $i,A: $i] :
( ~ ( ssPv20_1r1 @ A )
| ( ssPv19_2r1r1 @ A @ B ) ),
inference(simp,[status(thm)],[1099]) ).
thf(12,negated_conjecture,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssNder1_5r1r1r1r1r1 @ A @ B @ C @ D @ E )
| ~ ( ssNder1_4r1r1r1r1 @ A @ B @ C @ D )
| ~ ( ssNder1_3r1r1r1 @ A @ B @ C )
| ~ ( ssNder1_2r1r1 @ A @ B )
| ~ ( ssNder1_1r1 @ A )
| ~ ssNder1_0
| ( ssPv14_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ skc26 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause12) ).
thf(89,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssNder1_5r1r1r1r1r1 @ A @ B @ C @ D @ E )
| ~ ( ssNder1_4r1r1r1r1 @ A @ B @ C @ D )
| ~ ( ssNder1_3r1r1r1 @ A @ B @ C )
| ~ ( ssNder1_2r1r1 @ A @ B )
| ~ ( ssNder1_1r1 @ A )
| ~ ssNder1_0
| ( ssPv14_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ skc26 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(130,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssNder1_5r1r1r1r1r1 @ A @ B @ C @ D @ E )
| ~ ( ssNder1_4r1r1r1r1 @ A @ B @ C @ D )
| ~ ( ssNder1_3r1r1r1 @ A @ B @ C )
| ~ ( ssNder1_2r1r1 @ A @ B )
| ~ ( ssNder1_1r1 @ A )
| ~ ssNder1_0
| ( ssPv14_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ skc26 ) ),
inference(cnf,[status(esa)],[89]) ).
thf(235,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ( ssPv14_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ skc26 ) ),
inference(rewrite,[status(thm)],[130,194,181,169,58,171,173]) ).
thf(236,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] : ( ssPv14_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ skc26 ),
inference(simp,[status(thm)],[235]) ).
thf(15,negated_conjecture,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssNder1_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
| ~ ( ssNder1_5r1r1r1r1r1 @ A @ B @ C @ D @ E )
| ~ ( ssNder1_4r1r1r1r1 @ A @ B @ C @ D )
| ~ ( ssNder1_3r1r1r1 @ A @ B @ C )
| ~ ( ssNder1_2r1r1 @ A @ B )
| ~ ( ssNder1_1r1 @ A )
| ~ ssNder1_0
| ( ssPv13_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ skc24 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause15) ).
thf(112,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssNder1_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
| ~ ( ssNder1_5r1r1r1r1r1 @ A @ B @ C @ D @ E )
| ~ ( ssNder1_4r1r1r1r1 @ A @ B @ C @ D )
| ~ ( ssNder1_3r1r1r1 @ A @ B @ C )
| ~ ( ssNder1_2r1r1 @ A @ B )
| ~ ( ssNder1_1r1 @ A )
| ~ ssNder1_0
| ( ssPv13_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ skc24 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(118,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssNder1_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
| ~ ( ssNder1_5r1r1r1r1r1 @ A @ B @ C @ D @ E )
| ~ ( ssNder1_4r1r1r1r1 @ A @ B @ C @ D )
| ~ ( ssNder1_3r1r1r1 @ A @ B @ C )
| ~ ( ssNder1_2r1r1 @ A @ B )
| ~ ( ssNder1_1r1 @ A )
| ~ ssNder1_0
| ( ssPv13_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ skc24 ) ),
inference(cnf,[status(esa)],[112]) ).
thf(263,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ( ssPv13_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ skc24 ) ),
inference(rewrite,[status(thm)],[118,194,181,169,58,171,220,173]) ).
thf(264,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] : ( ssPv13_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ skc24 ),
inference(simp,[status(thm)],[263]) ).
thf(45,negated_conjecture,
! [Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P )
| ~ ( ssPv4_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
| ~ ( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O )
| ~ ( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
| ~ ( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M )
| ~ ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L )
| ~ ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
| ~ ( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J )
| ~ ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I )
| ~ ( ssPv13_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H )
| ~ ( ssNder1_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H )
| ~ ( ssPv14_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G )
| ~ ( ssNder1_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G )
| ~ ( ssNder1_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
| ~ ( ssNder1_5r1r1r1r1r1 @ A @ B @ C @ D @ E )
| ~ ( ssNder1_4r1r1r1r1 @ A @ B @ C @ D )
| ~ ( ssNder1_3r1r1r1 @ A @ B @ C )
| ~ ( ssPv19_2r1r1 @ A @ B )
| ~ ( ssNder1_2r1r1 @ A @ B )
| ~ ( ssNder1_1r1 @ A )
| ~ ssNder1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause45) ).
thf(82,plain,
! [Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P )
| ~ ( ssPv4_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
| ~ ( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O )
| ~ ( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
| ~ ( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M )
| ~ ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L )
| ~ ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
| ~ ( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J )
| ~ ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I )
| ~ ( ssPv13_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H )
| ~ ( ssNder1_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H )
| ~ ( ssPv14_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G )
| ~ ( ssNder1_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G )
| ~ ( ssNder1_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
| ~ ( ssNder1_5r1r1r1r1r1 @ A @ B @ C @ D @ E )
| ~ ( ssNder1_4r1r1r1r1 @ A @ B @ C @ D )
| ~ ( ssNder1_3r1r1r1 @ A @ B @ C )
| ~ ( ssPv19_2r1r1 @ A @ B )
| ~ ( ssNder1_2r1r1 @ A @ B )
| ~ ( ssNder1_1r1 @ A )
| ~ ssNder1_0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[45]) ).
thf(158,plain,
! [Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P )
| ~ ( ssPv4_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
| ~ ( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O )
| ~ ( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
| ~ ( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M )
| ~ ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L )
| ~ ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
| ~ ( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J )
| ~ ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I )
| ~ ( ssPv13_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H )
| ~ ( ssNder1_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H )
| ~ ( ssPv14_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G )
| ~ ( ssNder1_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G )
| ~ ( ssNder1_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
| ~ ( ssNder1_5r1r1r1r1r1 @ A @ B @ C @ D @ E )
| ~ ( ssNder1_4r1r1r1r1 @ A @ B @ C @ D )
| ~ ( ssNder1_3r1r1r1 @ A @ B @ C )
| ~ ( ssPv19_2r1r1 @ A @ B )
| ~ ( ssNder1_2r1r1 @ A @ B )
| ~ ( ssNder1_1r1 @ A )
| ~ ssNder1_0 ),
inference(cnf,[status(esa)],[82]) ).
thf(341,plain,
! [Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P )
| ~ ( ssPv4_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
| ~ ( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O )
| ~ ( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
| ~ ( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M )
| ~ ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L )
| ~ ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
| ~ $true
| ~ $true
| ~ ( ssPv13_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H )
| ~ $true
| ~ ( ssPv14_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G )
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ ( ssPv19_2r1r1 @ A @ B )
| ~ $true
| ~ $true
| ~ $true ),
inference(rewrite,[status(thm)],[158,224,304,194,181,169,58,314,171,283,220,173]) ).
thf(342,plain,
! [Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P )
| ~ ( ssPv4_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
| ~ ( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O )
| ~ ( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
| ~ ( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M )
| ~ ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L )
| ~ ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
| ~ ( ssPv13_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H )
| ~ ( ssPv14_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G )
| ~ ( ssPv19_2r1r1 @ A @ B ) ),
inference(simp,[status(thm)],[341]) ).
thf(345,plain,
! [ZG: $i,ZF: $i,ZE: $i,ZD: $i,ZC: $i,ZB: $i,ZA: $i,Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O )
| ~ ( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
| ~ ( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M )
| ~ ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L )
| ~ ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
| ~ ( ssPv4_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z @ ZA @ ZB @ ZC @ ZD @ ZE @ ZF @ ZG )
| ~ ( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z @ ZA @ ZB @ ZC @ ZD @ ZE )
| ~ ( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z @ ZA @ ZB @ ZC @ ZD )
| ~ ( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z @ ZA @ ZB @ ZC )
| ~ ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z @ ZA @ ZB )
| ~ ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z @ ZA )
| ~ ( ssPv13_8r1r1r1r1r1r1r1r1 @ Q @ R @ S @ T @ U @ V @ W @ X )
| ~ ( ssPv14_7r1r1r1r1r1r1r1 @ Q @ R @ S @ T @ U @ V @ W )
| ~ ( ssPv19_2r1r1 @ Q @ R )
| ( ( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P )
!= ( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z @ ZA @ ZB @ ZC @ ZD @ ZE @ ZF ) ) ),
inference(paramod_ordered,[status(thm)],[334,342]) ).
thf(346,plain,
! [Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O )
| ~ ( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
| ~ ( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M )
| ~ ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L )
| ~ ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
| ~ ( ssPv4_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
| ~ ( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O )
| ~ ( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
| ~ ( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M )
| ~ ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L )
| ~ ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
| ~ ( ssPv13_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H )
| ~ ( ssPv14_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G )
| ~ ( ssPv19_2r1r1 @ A @ B ) ),
inference(pattern_uni,[status(thm)],[345:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( C )),bind(D,$thf( D )),bind(E,$thf( E )),bind(F,$thf( F )),bind(G,$thf( G )),bind(H,$thf( H )),bind(I,$thf( I )),bind(J,$thf( J )),bind(K,$thf( K )),bind(L,$thf( L )),bind(M,$thf( M )),bind(N,$thf( N )),bind(O,$thf( O )),bind(P,$thf( P )),bind(Q,$thf( A )),bind(R,$thf( B )),bind(S,$thf( C )),bind(T,$thf( D )),bind(U,$thf( E )),bind(V,$thf( F )),bind(W,$thf( G )),bind(X,$thf( H )),bind(Y,$thf( I )),bind(Z,$thf( J )),bind(ZA,$thf( K )),bind(ZB,$thf( L )),bind(ZC,$thf( M )),bind(ZD,$thf( N )),bind(ZE,$thf( O )),bind(ZF,$thf( P ))]]) ).
thf(350,plain,
! [Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O )
| ~ ( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
| ~ ( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M )
| ~ ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L )
| ~ ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
| ~ ( ssPv4_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
| ~ ( ssPv13_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H )
| ~ ( ssPv14_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G )
| ~ ( ssPv19_2r1r1 @ A @ B ) ),
inference(simp,[status(thm)],[346]) ).
thf(352,plain,
! [X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V )
| ~ ( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U )
| ~ ( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T )
| ~ ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S )
| ~ ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R )
| ~ ( ssPv4_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X )
| ~ ( ssPv14_7r1r1r1r1r1r1r1 @ H @ I @ J @ K @ L @ M @ N )
| ~ ( ssPv19_2r1r1 @ H @ I )
| ( ( ssPv13_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ skc24 )
!= ( ssPv13_8r1r1r1r1r1r1r1r1 @ H @ I @ J @ K @ L @ M @ N @ O ) ) ),
inference(paramod_ordered,[status(thm)],[264,350]) ).
thf(353,plain,
! [P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ skc24 @ H @ I @ J @ K @ L @ M @ N )
| ~ ( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ skc24 @ H @ I @ J @ K @ L @ M )
| ~ ( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ skc24 @ H @ I @ J @ K @ L )
| ~ ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ skc24 @ H @ I @ J @ K )
| ~ ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ skc24 @ H @ I @ J )
| ~ ( ssPv4_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ skc24 @ H @ I @ J @ K @ L @ M @ N @ O @ P )
| ~ ( ssPv14_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G )
| ~ ( ssPv19_2r1r1 @ A @ B ) ),
inference(pattern_uni,[status(thm)],[352:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( C )),bind(D,$thf( D )),bind(E,$thf( E )),bind(F,$thf( F )),bind(G,$thf( G )),bind(H,$thf( A )),bind(I,$thf( B )),bind(J,$thf( C )),bind(K,$thf( D )),bind(L,$thf( E )),bind(M,$thf( F )),bind(N,$thf( G )),bind(O,$thf( skc24 ))]]) ).
thf(356,plain,
! [P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ skc24 @ H @ I @ J @ K @ L @ M @ N )
| ~ ( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ skc24 @ H @ I @ J @ K @ L @ M )
| ~ ( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ skc24 @ H @ I @ J @ K @ L )
| ~ ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ skc24 @ H @ I @ J @ K )
| ~ ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ skc24 @ H @ I @ J )
| ~ ( ssPv4_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ skc24 @ H @ I @ J @ K @ L @ M @ N @ O @ P )
| ~ ( ssPv14_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G )
| ~ ( ssPv19_2r1r1 @ A @ B ) ),
inference(simp,[status(thm)],[353]) ).
thf(386,plain,
! [P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ skc24 @ H @ I @ J @ K @ L @ M @ N )
| ~ ( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ skc24 @ H @ I @ J @ K @ L @ M )
| ~ ( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ skc24 @ H @ I @ J @ K @ L )
| ~ ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ skc24 @ H @ I @ J @ K )
| ~ $true
| ~ ( ssPv4_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ skc24 @ H @ I @ J @ K @ L @ M @ N @ O @ P )
| ~ ( ssPv14_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G )
| ~ ( ssPv19_2r1r1 @ A @ B ) ),
inference(rewrite,[status(thm)],[356,361]) ).
thf(387,plain,
! [P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ skc24 @ H @ I @ J @ K @ L @ M @ N )
| ~ ( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ skc24 @ H @ I @ J @ K @ L @ M )
| ~ ( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ skc24 @ H @ I @ J @ K @ L )
| ~ ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ skc24 @ H @ I @ J @ K )
| ~ ( ssPv4_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ skc24 @ H @ I @ J @ K @ L @ M @ N @ O @ P )
| ~ ( ssPv14_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G )
| ~ ( ssPv19_2r1r1 @ A @ B ) ),
inference(simp,[status(thm)],[386]) ).
thf(388,plain,
! [ZC: $i,ZB: $i,ZA: $i,Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L )
| ~ ( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ N @ O @ P @ Q @ R @ S @ T @ skc24 @ U @ V @ W @ X @ Y @ Z @ ZA )
| ~ ( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ N @ O @ P @ Q @ R @ S @ T @ skc24 @ U @ V @ W @ X @ Y @ Z )
| ~ ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ N @ O @ P @ Q @ R @ S @ T @ skc24 @ U @ V @ W @ X )
| ~ ( ssPv4_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ N @ O @ P @ Q @ R @ S @ T @ skc24 @ U @ V @ W @ X @ Y @ Z @ ZA @ ZB @ ZC )
| ~ ( ssPv14_7r1r1r1r1r1r1r1 @ N @ O @ P @ Q @ R @ S @ T )
| ~ ( ssPv19_2r1r1 @ N @ O )
| ( ( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M )
!= ( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ N @ O @ P @ Q @ R @ S @ T @ skc24 @ U @ V @ W @ X @ Y ) ) ),
inference(paramod_ordered,[status(thm)],[379,387]) ).
thf(389,plain,
! [P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ skc24 @ H @ I @ J @ K )
| ~ ( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ skc24 @ H @ I @ J @ K @ L @ M @ N )
| ~ ( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ skc24 @ H @ I @ J @ K @ L @ M )
| ~ ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ skc24 @ H @ I @ J @ K )
| ~ ( ssPv4_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ skc24 @ H @ I @ J @ K @ L @ M @ N @ O @ P )
| ~ ( ssPv14_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G )
| ~ ( ssPv19_2r1r1 @ A @ B ) ),
inference(pattern_uni,[status(thm)],[388:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( C )),bind(D,$thf( D )),bind(E,$thf( E )),bind(F,$thf( F )),bind(G,$thf( G )),bind(H,$thf( skc24 )),bind(I,$thf( I )),bind(J,$thf( J )),bind(K,$thf( K )),bind(L,$thf( L )),bind(M,$thf( M )),bind(N,$thf( A )),bind(O,$thf( B )),bind(P,$thf( C )),bind(Q,$thf( D )),bind(R,$thf( E )),bind(S,$thf( F )),bind(T,$thf( G )),bind(U,$thf( I )),bind(V,$thf( J )),bind(W,$thf( K )),bind(X,$thf( L )),bind(Y,$thf( M ))]]) ).
thf(392,plain,
! [P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ skc24 @ H @ I @ J @ K )
| ~ ( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ skc24 @ H @ I @ J @ K @ L @ M @ N )
| ~ ( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ skc24 @ H @ I @ J @ K @ L @ M )
| ~ ( ssPv4_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ skc24 @ H @ I @ J @ K @ L @ M @ N @ O @ P )
| ~ ( ssPv14_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G )
| ~ ( ssPv19_2r1r1 @ A @ B ) ),
inference(simp,[status(thm)],[389]) ).
thf(397,plain,
! [V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ G @ H @ I @ J @ K @ L @ M @ skc24 @ N @ O @ P @ Q )
| ~ ( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ G @ H @ I @ J @ K @ L @ M @ skc24 @ N @ O @ P @ Q @ R @ S @ T )
| ~ ( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ G @ H @ I @ J @ K @ L @ M @ skc24 @ N @ O @ P @ Q @ R @ S )
| ~ ( ssPv4_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ G @ H @ I @ J @ K @ L @ M @ skc24 @ N @ O @ P @ Q @ R @ S @ T @ U @ V )
| ~ ( ssPv19_2r1r1 @ G @ H )
| ( ( ssPv14_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ skc26 )
!= ( ssPv14_7r1r1r1r1r1r1r1 @ G @ H @ I @ J @ K @ L @ M ) ) ),
inference(paramod_ordered,[status(thm)],[236,392]) ).
thf(398,plain,
! [O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ skc26 @ skc24 @ G @ H @ I @ J )
| ~ ( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ skc26 @ skc24 @ G @ H @ I @ J @ K @ L @ M )
| ~ ( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ skc26 @ skc24 @ G @ H @ I @ J @ K @ L )
| ~ ( ssPv4_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ skc26 @ skc24 @ G @ H @ I @ J @ K @ L @ M @ N @ O )
| ~ ( ssPv19_2r1r1 @ A @ B ) ),
inference(pattern_uni,[status(thm)],[397:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( C )),bind(D,$thf( D )),bind(E,$thf( E )),bind(F,$thf( F )),bind(G,$thf( A )),bind(H,$thf( B )),bind(I,$thf( C )),bind(J,$thf( D )),bind(K,$thf( E )),bind(L,$thf( F )),bind(M,$thf( skc26 ))]]) ).
thf(399,plain,
! [O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ skc26 @ skc24 @ G @ H @ I @ J )
| ~ ( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ skc26 @ skc24 @ G @ H @ I @ J @ K @ L @ M )
| ~ ( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ skc26 @ skc24 @ G @ H @ I @ J @ K @ L )
| ~ ( ssPv4_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ skc26 @ skc24 @ G @ H @ I @ J @ K @ L @ M @ N @ O )
| ~ ( ssPv19_2r1r1 @ A @ B ) ),
inference(simp,[status(thm)],[398]) ).
thf(444,plain,
! [O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ $true
| ~ ( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ skc26 @ skc24 @ G @ H @ I @ J @ K @ L @ M )
| ~ ( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ skc26 @ skc24 @ G @ H @ I @ J @ K @ L )
| ~ ( ssPv4_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ skc26 @ skc24 @ G @ H @ I @ J @ K @ L @ M @ N @ O )
| ~ ( ssPv19_2r1r1 @ A @ B ) ),
inference(rewrite,[status(thm)],[399,435]) ).
thf(445,plain,
! [O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ skc26 @ skc24 @ G @ H @ I @ J @ K @ L @ M )
| ~ ( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ skc26 @ skc24 @ G @ H @ I @ J @ K @ L )
| ~ ( ssPv4_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ skc26 @ skc24 @ G @ H @ I @ J @ K @ L @ M @ N @ O )
| ~ ( ssPv19_2r1r1 @ A @ B ) ),
inference(simp,[status(thm)],[444]) ).
thf(1003,plain,
! [O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ skc26 @ skc24 @ G @ H @ I @ J @ K @ L @ M )
| ~ $true
| ~ ( ssPv4_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ skc26 @ skc24 @ G @ H @ I @ J @ K @ L @ M @ N @ O )
| ~ ( ssPv19_2r1r1 @ A @ B ) ),
inference(rewrite,[status(thm)],[445,970]) ).
thf(1004,plain,
! [O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ skc26 @ skc24 @ G @ H @ I @ J @ K @ L @ M )
| ~ ( ssPv4_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ skc26 @ skc24 @ G @ H @ I @ J @ K @ L @ M @ N @ O )
| ~ ( ssPv19_2r1r1 @ A @ B ) ),
inference(simp,[status(thm)],[1003]) ).
thf(1113,plain,
! [O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ $true
| ~ ( ssPv4_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ skc26 @ skc24 @ G @ H @ I @ J @ K @ L @ M @ N @ O )
| ~ ( ssPv19_2r1r1 @ A @ B ) ),
inference(rewrite,[status(thm)],[1004,1088]) ).
thf(1114,plain,
! [O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssPv4_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ skc26 @ skc24 @ G @ H @ I @ J @ K @ L @ M @ N @ O )
| ~ ( ssPv19_2r1r1 @ A @ B ) ),
inference(simp,[status(thm)],[1113]) ).
thf(1141,plain,
! [Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssPv20_1r1 @ A )
| ~ ( ssPv4_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ C @ D @ E @ F @ G @ H @ skc26 @ skc24 @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
| ( ( ssPv19_2r1r1 @ A @ B )
!= ( ssPv19_2r1r1 @ C @ D ) ) ),
inference(paramod_ordered,[status(thm)],[1100,1114]) ).
thf(1142,plain,
! [O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssPv20_1r1 @ A )
| ~ ( ssPv4_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ skc26 @ skc24 @ G @ H @ I @ J @ K @ L @ M @ N @ O ) ),
inference(pattern_uni,[status(thm)],[1141:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( A )),bind(D,$thf( B ))]]) ).
thf(1143,plain,
! [O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssPv20_1r1 @ A )
| ~ ( ssPv4_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ skc26 @ skc24 @ G @ H @ I @ J @ K @ L @ M @ N @ O ) ),
inference(simp,[status(thm)],[1142]) ).
thf(1222,plain,
! [ZE: $i,ZD: $i,ZC: $i,ZB: $i,ZA: $i,Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ skc28 @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O )
| ( ssPv11_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ skc28 @ F @ G @ H @ I )
| ~ ( ssPv20_1r1 @ Q )
| ( ( ssPv4_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ skc28 @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P )
!= ( ssPv4_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ Q @ R @ S @ T @ U @ V @ skc26 @ skc24 @ W @ X @ Y @ Z @ ZA @ ZB @ ZC @ ZD @ ZE ) ) ),
inference(paramod_ordered,[status(thm)],[1201,1143]) ).
thf(1223,plain,
! [M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ skc28 @ skc26 @ skc24 @ F @ G @ H @ I @ J @ K @ L @ M )
| ( ssPv11_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ skc28 @ skc26 @ skc24 @ F @ G )
| ~ ( ssPv20_1r1 @ A ) ),
inference(pattern_uni,[status(thm)],[1222:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( C )),bind(D,$thf( D )),bind(E,$thf( E )),bind(F,$thf( skc26 )),bind(G,$thf( skc24 )),bind(H,$thf( H )),bind(I,$thf( I )),bind(J,$thf( J )),bind(K,$thf( K )),bind(L,$thf( L )),bind(M,$thf( M )),bind(N,$thf( N )),bind(O,$thf( O )),bind(P,$thf( P )),bind(Q,$thf( A )),bind(R,$thf( B )),bind(S,$thf( C )),bind(T,$thf( D )),bind(U,$thf( E )),bind(V,$thf( skc28 )),bind(W,$thf( H )),bind(X,$thf( I )),bind(Y,$thf( J )),bind(Z,$thf( K )),bind(ZA,$thf( L )),bind(ZB,$thf( M )),bind(ZC,$thf( N )),bind(ZD,$thf( O )),bind(ZE,$thf( P ))]]) ).
thf(1226,plain,
! [M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ skc28 @ skc26 @ skc24 @ F @ G @ H @ I @ J @ K @ L @ M )
| ( ssPv11_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ skc28 @ skc26 @ skc24 @ F @ G )
| ~ ( ssPv20_1r1 @ A ) ),
inference(simp,[status(thm)],[1223]) ).
thf(983,plain,
! [O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ skc17 )
| ~ $true ),
inference(rewrite,[status(thm)],[439,970]) ).
thf(984,plain,
! [O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
~ ( ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ skc17 ),
inference(simp,[status(thm)],[983]) ).
thf(1272,plain,
! [ZB: $i,ZA: $i,Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ssPv11_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ skc28 @ skc26 @ skc24 @ F @ G )
| ~ ( ssPv20_1r1 @ A )
| ( ( ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ skc28 @ skc26 @ skc24 @ F @ G @ H @ I @ J @ K @ L @ M )
!= ( ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z @ ZA @ ZB @ skc17 ) ) ),
inference(paramod_ordered,[status(thm)],[1226,984]) ).
thf(1273,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ssPv11_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ skc28 @ skc26 @ skc24 @ F @ G )
| ~ ( ssPv20_1r1 @ A ) ),
inference(pattern_uni,[status(thm)],[1272:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( C )),bind(D,$thf( D )),bind(E,$thf( E )),bind(F,$thf( F )),bind(G,$thf( G )),bind(H,$thf( H )),bind(I,$thf( I )),bind(J,$thf( J )),bind(K,$thf( K )),bind(L,$thf( L )),bind(M,$thf( skc17 )),bind(N,$thf( A )),bind(O,$thf( B )),bind(P,$thf( C )),bind(Q,$thf( D )),bind(R,$thf( E )),bind(S,$thf( skc28 )),bind(T,$thf( skc26 )),bind(U,$thf( skc24 )),bind(V,$thf( F )),bind(W,$thf( G )),bind(X,$thf( H )),bind(Y,$thf( I )),bind(Z,$thf( J )),bind(ZA,$thf( K )),bind(ZB,$thf( L ))]]) ).
thf(28,negated_conjecture,
! [M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L )
| ~ ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
| ~ ( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J )
| ~ ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I )
| ~ ( ssNder1_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H )
| ~ ( ssNder1_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G )
| ~ ( ssNder1_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
| ~ ( ssNder1_5r1r1r1r1r1 @ A @ B @ C @ D @ E )
| ~ ( ssNder1_4r1r1r1r1 @ A @ B @ C @ D )
| ~ ( ssNder1_3r1r1r1 @ A @ B @ C )
| ~ ( ssNder1_2r1r1 @ A @ B )
| ~ ( ssNder1_1r1 @ A )
| ~ ssNder1_0
| ( ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ skc20 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause28) ).
thf(76,plain,
! [M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L )
| ~ ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
| ~ ( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J )
| ~ ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I )
| ~ ( ssNder1_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H )
| ~ ( ssNder1_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G )
| ~ ( ssNder1_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
| ~ ( ssNder1_5r1r1r1r1r1 @ A @ B @ C @ D @ E )
| ~ ( ssNder1_4r1r1r1r1 @ A @ B @ C @ D )
| ~ ( ssNder1_3r1r1r1 @ A @ B @ C )
| ~ ( ssNder1_2r1r1 @ A @ B )
| ~ ( ssNder1_1r1 @ A )
| ~ ssNder1_0
| ( ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ skc20 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[28]) ).
thf(146,plain,
! [M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L )
| ~ ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
| ~ ( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J )
| ~ ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I )
| ~ ( ssNder1_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H )
| ~ ( ssNder1_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G )
| ~ ( ssNder1_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
| ~ ( ssNder1_5r1r1r1r1r1 @ A @ B @ C @ D @ E )
| ~ ( ssNder1_4r1r1r1r1 @ A @ B @ C @ D )
| ~ ( ssNder1_3r1r1r1 @ A @ B @ C )
| ~ ( ssNder1_2r1r1 @ A @ B )
| ~ ( ssNder1_1r1 @ A )
| ~ ssNder1_0
| ( ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ skc20 ) ),
inference(cnf,[status(esa)],[76]) ).
thf(536,plain,
! [M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ( ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ skc20 ) ),
inference(rewrite,[status(thm)],[146,224,194,169,361,171,173,304,435,181,58,314,283,220]) ).
thf(537,plain,
! [M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] : ( ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ skc20 ),
inference(simp,[status(thm)],[536]) ).
thf(48,negated_conjecture,
! [Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P )
| ~ ( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O )
| ~ ( ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
| ~ ( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
| ~ ( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M )
| ~ ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L )
| ~ ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
| ~ ( ssPv11_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J )
| ~ ( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J )
| ~ ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I )
| ~ ( ssPv13_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H )
| ~ ( ssNder1_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H )
| ~ ( ssNder1_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G )
| ~ ( ssNder1_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
| ~ ( ssNder1_5r1r1r1r1r1 @ A @ B @ C @ D @ E )
| ~ ( ssNder1_4r1r1r1r1 @ A @ B @ C @ D )
| ~ ( ssNder1_3r1r1r1 @ A @ B @ C )
| ~ ( ssNder1_2r1r1 @ A @ B )
| ~ ( ssNder1_1r1 @ A )
| ~ ssNder1_0
| ( ssPv4_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause48) ).
thf(96,plain,
! [Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P )
| ~ ( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O )
| ~ ( ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
| ~ ( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
| ~ ( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M )
| ~ ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L )
| ~ ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
| ~ ( ssPv11_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J )
| ~ ( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J )
| ~ ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I )
| ~ ( ssPv13_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H )
| ~ ( ssNder1_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H )
| ~ ( ssNder1_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G )
| ~ ( ssNder1_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
| ~ ( ssNder1_5r1r1r1r1r1 @ A @ B @ C @ D @ E )
| ~ ( ssNder1_4r1r1r1r1 @ A @ B @ C @ D )
| ~ ( ssNder1_3r1r1r1 @ A @ B @ C )
| ~ ( ssNder1_2r1r1 @ A @ B )
| ~ ( ssNder1_1r1 @ A )
| ~ ssNder1_0
| ( ssPv4_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[48]) ).
thf(140,plain,
! [Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P )
| ~ ( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O )
| ~ ( ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
| ~ ( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
| ~ ( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M )
| ~ ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L )
| ~ ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
| ~ ( ssPv11_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J )
| ~ ( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J )
| ~ ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I )
| ~ ( ssPv13_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H )
| ~ ( ssNder1_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H )
| ~ ( ssNder1_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G )
| ~ ( ssNder1_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
| ~ ( ssNder1_5r1r1r1r1r1 @ A @ B @ C @ D @ E )
| ~ ( ssNder1_4r1r1r1r1 @ A @ B @ C @ D )
| ~ ( ssNder1_3r1r1r1 @ A @ B @ C )
| ~ ( ssNder1_2r1r1 @ A @ B )
| ~ ( ssNder1_1r1 @ A )
| ~ ssNder1_0
| ( ssPv4_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q ) ),
inference(cnf,[status(esa)],[96]) ).
thf(560,plain,
! [Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P )
| ~ ( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O )
| ~ ( ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
| ~ ( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
| ~ $true
| ~ $true
| ~ $true
| ~ ( ssPv11_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J )
| ~ $true
| ~ $true
| ~ ( ssPv13_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H )
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ( ssPv4_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q ) ),
inference(rewrite,[status(thm)],[140,224,194,169,361,171,173,304,435,181,437,58,314,283,220]) ).
thf(561,plain,
! [Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P )
| ~ ( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O )
| ~ ( ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
| ~ ( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
| ~ ( ssPv11_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J )
| ~ ( ssPv13_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H )
| ( ssPv4_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q ) ),
inference(simp,[status(thm)],[560]) ).
thf(574,plain,
! [ZF: $i,ZE: $i,ZD: $i,ZC: $i,ZB: $i,ZA: $i,Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P )
| ~ ( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O )
| ~ ( ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
| ~ ( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
| ~ ( ssPv11_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J )
| ~ ( ssPv13_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H )
| ~ ( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ R @ S @ T @ U @ V @ W @ skc26 @ skc24 @ X @ Y @ Z @ ZA @ ZB @ ZC @ ZD )
| ~ ( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ R @ S @ T @ U @ V @ W @ skc26 @ skc24 @ X @ Y @ Z @ ZA @ ZB @ ZC )
| ~ ( ssPv19_2r1r1 @ R @ S )
| ( ( ssPv4_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
!= ( ssPv4_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ R @ S @ T @ U @ V @ W @ skc26 @ skc24 @ X @ Y @ Z @ ZA @ ZB @ ZC @ ZD @ ZE @ ZF ) ) ),
inference(paramod_ordered,[status(thm)],[561,445]) ).
thf(575,plain,
! [N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ skc26 @ skc24 @ G @ H @ I @ J @ K @ L @ M @ N )
| ~ ( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ skc26 @ skc24 @ G @ H @ I @ J @ K @ L @ M )
| ~ ( ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ skc26 @ skc24 @ G @ H @ I @ J @ K @ L )
| ~ ( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ skc26 @ skc24 @ G @ H @ I @ J @ K @ L )
| ~ ( ssPv11_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ skc26 @ skc24 @ G @ H )
| ~ ( ssPv13_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ skc26 @ skc24 )
| ~ ( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ skc26 @ skc24 @ G @ H @ I @ J @ K @ L @ M )
| ~ ( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ skc26 @ skc24 @ G @ H @ I @ J @ K @ L )
| ~ ( ssPv19_2r1r1 @ A @ B ) ),
inference(pattern_uni,[status(thm)],[574:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( C )),bind(D,$thf( D )),bind(E,$thf( E )),bind(F,$thf( F )),bind(G,$thf( skc26 )),bind(H,$thf( skc24 )),bind(I,$thf( I )),bind(J,$thf( J )),bind(K,$thf( K )),bind(L,$thf( L )),bind(M,$thf( M )),bind(N,$thf( N )),bind(O,$thf( O )),bind(P,$thf( P )),bind(Q,$thf( Q )),bind(R,$thf( A )),bind(S,$thf( B )),bind(T,$thf( C )),bind(U,$thf( D )),bind(V,$thf( E )),bind(W,$thf( F )),bind(X,$thf( I )),bind(Y,$thf( J )),bind(Z,$thf( K )),bind(ZA,$thf( L )),bind(ZB,$thf( M )),bind(ZC,$thf( N )),bind(ZD,$thf( O )),bind(ZE,$thf( P )),bind(ZF,$thf( Q ))]]) ).
thf(593,plain,
! [N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ skc26 @ skc24 @ G @ H @ I @ J @ K @ L @ M @ N )
| ~ ( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ skc26 @ skc24 @ G @ H @ I @ J @ K @ L @ M )
| ~ ( ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ skc26 @ skc24 @ G @ H @ I @ J @ K @ L )
| ~ ( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ skc26 @ skc24 @ G @ H @ I @ J @ K @ L )
| ~ ( ssPv11_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ skc26 @ skc24 @ G @ H )
| ~ ( ssPv13_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ skc26 @ skc24 )
| ~ ( ssPv19_2r1r1 @ A @ B ) ),
inference(simp,[status(thm)],[575]) ).
thf(622,plain,
! [N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ skc26 @ skc24 @ G @ H @ I @ J @ K @ L @ M @ N )
| ~ ( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ skc26 @ skc24 @ G @ H @ I @ J @ K @ L @ M )
| ~ ( ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ skc26 @ skc24 @ G @ H @ I @ J @ K @ L )
| ~ ( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ skc26 @ skc24 @ G @ H @ I @ J @ K @ L )
| ~ ( ssPv11_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ skc26 @ skc24 @ G @ H )
| ~ $true
| ~ ( ssPv19_2r1r1 @ A @ B ) ),
inference(rewrite,[status(thm)],[593,264]) ).
thf(623,plain,
! [N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ skc26 @ skc24 @ G @ H @ I @ J @ K @ L @ M @ N )
| ~ ( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ skc26 @ skc24 @ G @ H @ I @ J @ K @ L @ M )
| ~ ( ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ skc26 @ skc24 @ G @ H @ I @ J @ K @ L )
| ~ ( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ skc26 @ skc24 @ G @ H @ I @ J @ K @ L )
| ~ ( ssPv11_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ skc26 @ skc24 @ G @ H )
| ~ ( ssPv19_2r1r1 @ A @ B ) ),
inference(simp,[status(thm)],[622]) ).
thf(624,plain,
! [ZA: $i,Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ N @ O @ P @ Q @ R @ S @ skc26 @ skc24 @ T @ U @ V @ W @ X @ Y @ Z @ ZA )
| ~ ( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ N @ O @ P @ Q @ R @ S @ skc26 @ skc24 @ T @ U @ V @ W @ X @ Y @ Z )
| ~ ( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ N @ O @ P @ Q @ R @ S @ skc26 @ skc24 @ T @ U @ V @ W @ X @ Y )
| ~ ( ssPv11_10r1r1r1r1r1r1r1r1r1r1 @ N @ O @ P @ Q @ R @ S @ skc26 @ skc24 @ T @ U )
| ~ ( ssPv19_2r1r1 @ N @ O )
| ( ( ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ skc20 )
!= ( ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ N @ O @ P @ Q @ R @ S @ skc26 @ skc24 @ T @ U @ V @ W @ X @ Y ) ) ),
inference(paramod_ordered,[status(thm)],[537,623]) ).
thf(625,plain,
! [M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ skc26 @ skc24 @ G @ H @ I @ J @ K @ skc20 @ L @ M )
| ~ ( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ skc26 @ skc24 @ G @ H @ I @ J @ K @ skc20 @ L )
| ~ ( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ skc26 @ skc24 @ G @ H @ I @ J @ K @ skc20 )
| ~ ( ssPv11_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ skc26 @ skc24 @ G @ H )
| ~ ( ssPv19_2r1r1 @ A @ B ) ),
inference(pattern_uni,[status(thm)],[624:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( C )),bind(D,$thf( D )),bind(E,$thf( E )),bind(F,$thf( F )),bind(G,$thf( skc26 )),bind(H,$thf( skc24 )),bind(I,$thf( I )),bind(J,$thf( J )),bind(K,$thf( K )),bind(L,$thf( L )),bind(M,$thf( M )),bind(N,$thf( A )),bind(O,$thf( B )),bind(P,$thf( C )),bind(Q,$thf( D )),bind(R,$thf( E )),bind(S,$thf( F )),bind(T,$thf( I )),bind(U,$thf( J )),bind(V,$thf( K )),bind(W,$thf( L )),bind(X,$thf( M )),bind(Y,$thf( skc20 ))]]) ).
thf(632,plain,
! [M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ skc26 @ skc24 @ G @ H @ I @ J @ K @ skc20 @ L @ M )
| ~ ( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ skc26 @ skc24 @ G @ H @ I @ J @ K @ skc20 @ L )
| ~ ( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ skc26 @ skc24 @ G @ H @ I @ J @ K @ skc20 )
| ~ ( ssPv11_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ skc26 @ skc24 @ G @ H )
| ~ ( ssPv19_2r1r1 @ A @ B ) ),
inference(simp,[status(thm)],[625]) ).
thf(648,plain,
! [ZC: $i,ZB: $i,ZA: $i,Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O )
| ~ ( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
| ~ ( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ Q @ R @ S @ T @ U @ V @ skc26 @ skc24 @ W @ X @ Y @ Z @ ZA @ skc20 @ ZB )
| ~ ( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ Q @ R @ S @ T @ U @ V @ skc26 @ skc24 @ W @ X @ Y @ Z @ ZA @ skc20 )
| ~ ( ssPv11_10r1r1r1r1r1r1r1r1r1r1 @ Q @ R @ S @ T @ U @ V @ skc26 @ skc24 @ W @ X )
| ~ ( ssPv19_2r1r1 @ Q @ R )
| ( ( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P )
!= ( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ Q @ R @ S @ T @ U @ V @ skc26 @ skc24 @ W @ X @ Y @ Z @ ZA @ skc20 @ ZB @ ZC ) ) ),
inference(paramod_ordered,[status(thm)],[441,632]) ).
thf(649,plain,
! [L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ skc26 @ skc24 @ G @ H @ I @ J @ K @ skc20 @ L )
| ~ ( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ skc26 @ skc24 @ G @ H @ I @ J @ K @ skc20 )
| ~ ( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ skc26 @ skc24 @ G @ H @ I @ J @ K @ skc20 @ L )
| ~ ( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ skc26 @ skc24 @ G @ H @ I @ J @ K @ skc20 )
| ~ ( ssPv11_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ skc26 @ skc24 @ G @ H )
| ~ ( ssPv19_2r1r1 @ A @ B ) ),
inference(pattern_uni,[status(thm)],[648:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( C )),bind(D,$thf( D )),bind(E,$thf( E )),bind(F,$thf( F )),bind(G,$thf( skc26 )),bind(H,$thf( skc24 )),bind(I,$thf( I )),bind(J,$thf( J )),bind(K,$thf( K )),bind(L,$thf( L )),bind(M,$thf( M )),bind(N,$thf( skc20 )),bind(O,$thf( O )),bind(P,$thf( P )),bind(Q,$thf( A )),bind(R,$thf( B )),bind(S,$thf( C )),bind(T,$thf( D )),bind(U,$thf( E )),bind(V,$thf( F )),bind(W,$thf( I )),bind(X,$thf( J )),bind(Y,$thf( K )),bind(Z,$thf( L )),bind(ZA,$thf( M )),bind(ZB,$thf( O )),bind(ZC,$thf( P ))]]) ).
thf(652,plain,
! [L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ skc26 @ skc24 @ G @ H @ I @ J @ K @ skc20 @ L )
| ~ ( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ skc26 @ skc24 @ G @ H @ I @ J @ K @ skc20 )
| ~ ( ssPv11_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ skc26 @ skc24 @ G @ H )
| ~ ( ssPv19_2r1r1 @ A @ B ) ),
inference(simp,[status(thm)],[649]) ).
thf(1031,plain,
! [L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ skc26 @ skc24 @ G @ H @ I @ J @ K @ skc20 @ L )
| ~ $true
| ~ ( ssPv11_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ skc26 @ skc24 @ G @ H )
| ~ ( ssPv19_2r1r1 @ A @ B ) ),
inference(rewrite,[status(thm)],[652,970]) ).
thf(1032,plain,
! [L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ skc26 @ skc24 @ G @ H @ I @ J @ K @ skc20 @ L )
| ~ ( ssPv11_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ skc26 @ skc24 @ G @ H )
| ~ ( ssPv19_2r1r1 @ A @ B ) ),
inference(simp,[status(thm)],[1031]) ).
thf(1101,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ $true
| ~ ( ssPv11_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ skc26 @ skc24 @ G @ H )
| ~ ( ssPv19_2r1r1 @ A @ B ) ),
inference(rewrite,[status(thm)],[1032,1088]) ).
thf(1102,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssPv11_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ skc26 @ skc24 @ G @ H )
| ~ ( ssPv19_2r1r1 @ A @ B ) ),
inference(simp,[status(thm)],[1101]) ).
thf(1115,plain,
! [J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssPv20_1r1 @ A )
| ~ ( ssPv11_10r1r1r1r1r1r1r1r1r1r1 @ C @ D @ E @ F @ G @ H @ skc26 @ skc24 @ I @ J )
| ( ( ssPv19_2r1r1 @ A @ B )
!= ( ssPv19_2r1r1 @ C @ D ) ) ),
inference(paramod_ordered,[status(thm)],[1100,1102]) ).
thf(1116,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssPv20_1r1 @ A )
| ~ ( ssPv11_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ skc26 @ skc24 @ G @ H ) ),
inference(pattern_uni,[status(thm)],[1115:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( A )),bind(D,$thf( B ))]]) ).
thf(1121,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssPv20_1r1 @ A )
| ~ ( ssPv11_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ skc26 @ skc24 @ G @ H ) ),
inference(simp,[status(thm)],[1116]) ).
thf(1280,plain,
! [O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssPv20_1r1 @ A )
| ~ ( ssPv20_1r1 @ H )
| ( ( ssPv11_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ skc28 @ skc26 @ skc24 @ F @ G )
!= ( ssPv11_10r1r1r1r1r1r1r1r1r1r1 @ H @ I @ J @ K @ L @ M @ skc26 @ skc24 @ N @ O ) ) ),
inference(paramod_ordered,[status(thm)],[1273,1121]) ).
thf(1281,plain,
! [A: $i] :
( ~ ( ssPv20_1r1 @ A )
| ~ ( ssPv20_1r1 @ A ) ),
inference(pattern_uni,[status(thm)],[1280:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( C )),bind(D,$thf( D )),bind(E,$thf( E )),bind(F,$thf( F )),bind(G,$thf( G )),bind(H,$thf( A )),bind(I,$thf( B )),bind(J,$thf( C )),bind(K,$thf( D )),bind(L,$thf( E )),bind(M,$thf( skc28 )),bind(N,$thf( F )),bind(O,$thf( G ))]]) ).
thf(1286,plain,
! [A: $i] :
~ ( ssPv20_1r1 @ A ),
inference(simp,[status(thm)],[1281]) ).
thf(1401,plain,
! [O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ $true
| ( ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O )
| ( ssPv10_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
| $false ),
inference(rewrite,[status(thm)],[1008,1088,1286]) ).
thf(1402,plain,
! [O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O )
| ( ssPv10_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K ) ),
inference(simp,[status(thm)],[1401]) ).
thf(32,negated_conjecture,
! [N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ skc19 )
| ~ ( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M )
| ~ ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L )
| ~ ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
| ~ ( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J )
| ~ ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I )
| ~ ( ssNder1_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H )
| ~ ( ssNder1_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G )
| ~ ( ssNder1_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
| ~ ( ssNder1_5r1r1r1r1r1 @ A @ B @ C @ D @ E )
| ~ ( ssNder1_4r1r1r1r1 @ A @ B @ C @ D )
| ~ ( ssNder1_3r1r1r1 @ A @ B @ C )
| ~ ( ssNder1_2r1r1 @ A @ B )
| ~ ( ssNder1_1r1 @ A )
| ~ ssNder1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause32) ).
thf(84,plain,
! [N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ skc19 )
| ~ ( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M )
| ~ ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L )
| ~ ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
| ~ ( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J )
| ~ ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I )
| ~ ( ssNder1_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H )
| ~ ( ssNder1_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G )
| ~ ( ssNder1_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
| ~ ( ssNder1_5r1r1r1r1r1 @ A @ B @ C @ D @ E )
| ~ ( ssNder1_4r1r1r1r1 @ A @ B @ C @ D )
| ~ ( ssNder1_3r1r1r1 @ A @ B @ C )
| ~ ( ssNder1_2r1r1 @ A @ B )
| ~ ( ssNder1_1r1 @ A )
| ~ ssNder1_0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[32]) ).
thf(128,plain,
! [N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ skc19 )
| ~ ( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M )
| ~ ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L )
| ~ ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
| ~ ( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J )
| ~ ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I )
| ~ ( ssNder1_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H )
| ~ ( ssNder1_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G )
| ~ ( ssNder1_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
| ~ ( ssNder1_5r1r1r1r1r1 @ A @ B @ C @ D @ E )
| ~ ( ssNder1_4r1r1r1r1 @ A @ B @ C @ D )
| ~ ( ssNder1_3r1r1r1 @ A @ B @ C )
| ~ ( ssNder1_2r1r1 @ A @ B )
| ~ ( ssNder1_1r1 @ A )
| ~ ssNder1_0 ),
inference(cnf,[status(esa)],[84]) ).
thf(256,plain,
! [N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ skc19 )
| ~ ( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M )
| ~ ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L )
| ~ ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
| ~ ( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J )
| ~ ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I )
| ~ ( ssNder1_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H )
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true ),
inference(rewrite,[status(thm)],[128,224,194,181,169,58,171,220,173]) ).
thf(257,plain,
! [N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ skc19 )
| ~ ( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M )
| ~ ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L )
| ~ ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
| ~ ( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J )
| ~ ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I )
| ~ ( ssNder1_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H ) ),
inference(simp,[status(thm)],[256]) ).
thf(258,plain,
! [X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I )
| ~ ( ssNder1_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H )
| ~ ( ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ skc19 )
| ~ ( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W )
| ~ ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V )
| ~ ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U )
| ~ ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ K @ L @ M @ N @ O @ P @ Q @ R @ S )
| ~ ( ssNder1_8r1r1r1r1r1r1r1r1 @ K @ L @ M @ N @ O @ P @ Q @ R )
| ( ( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J )
!= ( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T ) ) ),
inference(paramod_ordered,[status(thm)],[226,257]) ).
thf(259,plain,
! [N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I )
| ~ ( ssNder1_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H )
| ~ ( ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ skc19 )
| ~ ( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M )
| ~ ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L )
| ~ ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
| ~ ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I )
| ~ ( ssNder1_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H ) ),
inference(pattern_uni,[status(thm)],[258:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( C )),bind(D,$thf( D )),bind(E,$thf( E )),bind(F,$thf( F )),bind(G,$thf( G )),bind(H,$thf( H )),bind(I,$thf( I )),bind(J,$thf( J )),bind(K,$thf( A )),bind(L,$thf( B )),bind(M,$thf( C )),bind(N,$thf( D )),bind(O,$thf( E )),bind(P,$thf( F )),bind(Q,$thf( G )),bind(R,$thf( H )),bind(S,$thf( I )),bind(T,$thf( J ))]]) ).
thf(260,plain,
! [N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I )
| ~ ( ssNder1_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H )
| ~ ( ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ skc19 )
| ~ ( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M )
| ~ ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L )
| ~ ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K ) ),
inference(simp,[status(thm)],[259]) ).
thf(292,plain,
! [N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I )
| ~ $true
| ~ ( ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ skc19 )
| ~ ( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M )
| ~ ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L )
| ~ ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K ) ),
inference(rewrite,[status(thm)],[260,283]) ).
thf(293,plain,
! [N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I )
| ~ ( ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ skc19 )
| ~ ( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M )
| ~ ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L )
| ~ ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K ) ),
inference(simp,[status(thm)],[292]) ).
thf(305,plain,
! [N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ $true
| ~ ( ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ skc19 )
| ~ ( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M )
| ~ ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L )
| ~ ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K ) ),
inference(rewrite,[status(thm)],[293,304]) ).
thf(306,plain,
! [N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ skc19 )
| ~ ( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M )
| ~ ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L )
| ~ ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K ) ),
inference(simp,[status(thm)],[305]) ).
thf(366,plain,
! [N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ skc19 )
| ~ ( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M )
| ~ ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L )
| ~ $true ),
inference(rewrite,[status(thm)],[306,361]) ).
thf(367,plain,
! [N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ skc19 )
| ~ ( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M )
| ~ ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L ) ),
inference(simp,[status(thm)],[366]) ).
thf(380,plain,
! [ZA: $i,Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L )
| ~ ( ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z @ ZA @ skc19 )
| ~ ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y )
| ( ( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M )
!= ( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ) ),
inference(paramod_ordered,[status(thm)],[379,367]) ).
thf(381,plain,
! [N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L )
| ~ ( ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ skc19 )
| ~ ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L ) ),
inference(pattern_uni,[status(thm)],[380:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( C )),bind(D,$thf( D )),bind(E,$thf( E )),bind(F,$thf( F )),bind(G,$thf( G )),bind(H,$thf( H )),bind(I,$thf( I )),bind(J,$thf( J )),bind(K,$thf( K )),bind(L,$thf( L )),bind(M,$thf( M )),bind(N,$thf( A )),bind(O,$thf( B )),bind(P,$thf( C )),bind(Q,$thf( D )),bind(R,$thf( E )),bind(S,$thf( F )),bind(T,$thf( G )),bind(U,$thf( H )),bind(V,$thf( I )),bind(W,$thf( J )),bind(X,$thf( K )),bind(Y,$thf( L )),bind(Z,$thf( M ))]]) ).
thf(382,plain,
! [N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L )
| ~ ( ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ skc19 ) ),
inference(simp,[status(thm)],[381]) ).
thf(452,plain,
! [N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ $true
| ~ ( ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ skc19 ) ),
inference(rewrite,[status(thm)],[382,435]) ).
thf(453,plain,
! [N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
~ ( ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ skc19 ),
inference(simp,[status(thm)],[452]) ).
thf(1403,plain,
! [ZC: $i,ZB: $i,ZA: $i,Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ssPv10_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
| ( ( ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O )
!= ( ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z @ ZA @ ZB @ ZC @ skc19 ) ) ),
inference(paramod_ordered,[status(thm)],[1402,453]) ).
thf(1404,plain,
! [K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] : ( ssPv10_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K ),
inference(pattern_uni,[status(thm)],[1403:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( C )),bind(D,$thf( D )),bind(E,$thf( E )),bind(F,$thf( F )),bind(G,$thf( G )),bind(H,$thf( H )),bind(I,$thf( I )),bind(J,$thf( J )),bind(K,$thf( K )),bind(L,$thf( L )),bind(M,$thf( M )),bind(N,$thf( N )),bind(O,$thf( skc19 )),bind(P,$thf( A )),bind(Q,$thf( B )),bind(R,$thf( C )),bind(S,$thf( D )),bind(T,$thf( E )),bind(U,$thf( F )),bind(V,$thf( G )),bind(W,$thf( H )),bind(X,$thf( I )),bind(Y,$thf( J )),bind(Z,$thf( K )),bind(ZA,$thf( L )),bind(ZB,$thf( M )),bind(ZC,$thf( N ))]]) ).
thf(1510,plain,
! [Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ $true
| ~ $true
| ~ ( ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P )
| ~ $true
| ~ ( ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O )
| ~ $true
| ~ $true
| ~ $true
| ~ ( ssPv15_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
| ( ssPv4_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q ) ),
inference(rewrite,[status(thm)],[522,1088,1106,1108,1094,970,1404]) ).
thf(1511,plain,
! [Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P )
| ~ ( ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O )
| ~ ( ssPv15_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
| ( ssPv4_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q ) ),
inference(simp,[status(thm)],[1510]) ).
thf(1516,plain,
! [ZF: $i,ZE: $i,ZD: $i,ZC: $i,ZB: $i,ZA: $i,Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z @ ZA @ ZB @ ZC @ ZD )
| ~ ( ssPv15_6r1r1r1r1r1r1 @ P @ Q @ R @ S @ T @ U )
| ( ssPv4_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z @ ZA @ ZB @ ZC @ ZD @ ZE @ ZF )
| ( ( ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ skc16 )
!= ( ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z @ ZA @ ZB @ ZC @ ZD @ ZE ) ) ),
inference(paramod_ordered,[status(thm)],[1028,1511]) ).
thf(1517,plain,
! [P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O )
| ~ ( ssPv15_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
| ( ssPv4_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ skc16 @ P ) ),
inference(pattern_uni,[status(thm)],[1516:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( C )),bind(D,$thf( D )),bind(E,$thf( E )),bind(F,$thf( F )),bind(G,$thf( G )),bind(H,$thf( H )),bind(I,$thf( I )),bind(J,$thf( J )),bind(K,$thf( K )),bind(L,$thf( L )),bind(M,$thf( M )),bind(N,$thf( N )),bind(O,$thf( O )),bind(P,$thf( A )),bind(Q,$thf( B )),bind(R,$thf( C )),bind(S,$thf( D )),bind(T,$thf( E )),bind(U,$thf( F )),bind(V,$thf( G )),bind(W,$thf( H )),bind(X,$thf( I )),bind(Y,$thf( J )),bind(Z,$thf( K )),bind(ZA,$thf( L )),bind(ZB,$thf( M )),bind(ZC,$thf( N )),bind(ZD,$thf( O )),bind(ZE,$thf( skc16 ))]]) ).
thf(1523,plain,
! [P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O )
| ~ ( ssPv15_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
| ( ssPv4_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ skc16 @ P ) ),
inference(simp,[status(thm)],[1517]) ).
thf(1529,plain,
! [ZD: $i,ZC: $i,ZB: $i,ZA: $i,Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssPv15_6r1r1r1r1r1r1 @ O @ P @ Q @ R @ S @ T )
| ( ssPv4_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z @ ZA @ ZB @ ZC @ skc16 @ ZD )
| ( ( ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ skc18 )
!= ( ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z @ ZA @ ZB @ ZC ) ) ),
inference(paramod_ordered,[status(thm)],[1166,1523]) ).
thf(1530,plain,
! [O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssPv15_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
| ( ssPv4_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ skc18 @ skc16 @ O ) ),
inference(pattern_uni,[status(thm)],[1529:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( C )),bind(D,$thf( D )),bind(E,$thf( E )),bind(F,$thf( F )),bind(G,$thf( G )),bind(H,$thf( H )),bind(I,$thf( I )),bind(J,$thf( J )),bind(K,$thf( K )),bind(L,$thf( L )),bind(M,$thf( M )),bind(N,$thf( N )),bind(O,$thf( A )),bind(P,$thf( B )),bind(Q,$thf( C )),bind(R,$thf( D )),bind(S,$thf( E )),bind(T,$thf( F )),bind(U,$thf( G )),bind(V,$thf( H )),bind(W,$thf( I )),bind(X,$thf( J )),bind(Y,$thf( K )),bind(Z,$thf( L )),bind(ZA,$thf( M )),bind(ZB,$thf( N )),bind(ZC,$thf( skc18 ))]]) ).
thf(1533,plain,
! [O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssPv15_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
| ( ssPv4_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ skc18 @ skc16 @ O ) ),
inference(simp,[status(thm)],[1530]) ).
thf(1539,plain,
! [T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ssPv4_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ skc18 @ skc16 @ T )
| ( ( ssPv15_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ skc28 )
!= ( ssPv15_6r1r1r1r1r1r1 @ F @ G @ H @ I @ J @ K ) ) ),
inference(paramod_ordered,[status(thm)],[207,1533]) ).
thf(1540,plain,
! [N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] : ( ssPv4_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ skc28 @ F @ G @ H @ I @ J @ K @ L @ M @ skc18 @ skc16 @ N ),
inference(pattern_uni,[status(thm)],[1539:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( C )),bind(D,$thf( D )),bind(E,$thf( E )),bind(F,$thf( A )),bind(G,$thf( B )),bind(H,$thf( C )),bind(I,$thf( D )),bind(J,$thf( E )),bind(K,$thf( skc28 ))]]) ).
thf(1543,plain,
! [N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] : ( ssPv4_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ skc28 @ F @ G @ H @ I @ J @ K @ L @ M @ skc18 @ skc16 @ N ),
inference(simp,[status(thm)],[1540]) ).
thf(46,negated_conjecture,
! [Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P )
| ~ ( ssPv4_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
| ~ ( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O )
| ~ ( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
| ~ ( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M )
| ~ ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L )
| ~ ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
| ~ ( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J )
| ~ ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I )
| ~ ( ssNder1_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H )
| ~ ( ssNder1_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G )
| ~ ( ssNder1_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
| ~ ( ssNder1_5r1r1r1r1r1 @ A @ B @ C @ D @ E )
| ~ ( ssNder1_4r1r1r1r1 @ A @ B @ C @ D )
| ~ ( ssNder1_3r1r1r1 @ A @ B @ C )
| ~ ( ssNder1_2r1r1 @ A @ B )
| ~ ( ssNder1_1r1 @ A )
| ~ ssNder1_0
| ( ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
| ( ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M )
| ( ssPv19_2r1r1 @ A @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause46) ).
thf(72,plain,
! [Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P )
| ~ ( ssPv4_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
| ~ ( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O )
| ~ ( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
| ~ ( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M )
| ~ ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L )
| ~ ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
| ~ ( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J )
| ~ ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I )
| ~ ( ssNder1_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H )
| ~ ( ssNder1_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G )
| ~ ( ssNder1_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
| ~ ( ssNder1_5r1r1r1r1r1 @ A @ B @ C @ D @ E )
| ~ ( ssNder1_4r1r1r1r1 @ A @ B @ C @ D )
| ~ ( ssNder1_3r1r1r1 @ A @ B @ C )
| ~ ( ssNder1_2r1r1 @ A @ B )
| ~ ( ssNder1_1r1 @ A )
| ~ ssNder1_0
| ( ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
| ( ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M )
| ( ssPv19_2r1r1 @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[46]) ).
thf(120,plain,
! [Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P )
| ~ ( ssPv4_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
| ~ ( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O )
| ~ ( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
| ~ ( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M )
| ~ ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L )
| ~ ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
| ~ ( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J )
| ~ ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I )
| ~ ( ssNder1_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H )
| ~ ( ssNder1_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G )
| ~ ( ssNder1_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
| ~ ( ssNder1_5r1r1r1r1r1 @ A @ B @ C @ D @ E )
| ~ ( ssNder1_4r1r1r1r1 @ A @ B @ C @ D )
| ~ ( ssNder1_3r1r1r1 @ A @ B @ C )
| ~ ( ssNder1_2r1r1 @ A @ B )
| ~ ( ssNder1_1r1 @ A )
| ~ ssNder1_0
| ( ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
| ( ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M )
| ( ssPv19_2r1r1 @ A @ B ) ),
inference(cnf,[status(esa)],[72]) ).
thf(317,plain,
! [Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P )
| ~ ( ssPv4_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
| ~ ( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O )
| ~ ( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
| ~ ( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M )
| ~ ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L )
| ~ ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
| ~ ( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J )
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ( ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
| ( ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M )
| ( ssPv19_2r1r1 @ A @ B ) ),
inference(rewrite,[status(thm)],[120,224,304,194,181,169,58,171,283,220,173]) ).
thf(318,plain,
! [Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P )
| ~ ( ssPv4_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
| ~ ( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O )
| ~ ( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
| ~ ( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M )
| ~ ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L )
| ~ ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
| ~ ( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J )
| ( ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
| ( ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M )
| ( ssPv19_2r1r1 @ A @ B ) ),
inference(simp,[status(thm)],[317]) ).
thf(319,plain,
! [Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P )
| ~ ( ssPv4_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
| ~ ( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O )
| ~ ( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
| ~ ( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M )
| ~ ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L )
| ~ ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
| ~ $true
| ( ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
| ( ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M )
| ( ssPv19_2r1r1 @ A @ B ) ),
inference(rewrite,[status(thm)],[318,314]) ).
thf(320,plain,
! [Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P )
| ~ ( ssPv4_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
| ~ ( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O )
| ~ ( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
| ~ ( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M )
| ~ ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L )
| ~ ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
| ( ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
| ( ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M )
| ( ssPv19_2r1r1 @ A @ B ) ),
inference(simp,[status(thm)],[319]) ).
thf(338,plain,
! [ZG: $i,ZF: $i,ZE: $i,ZD: $i,ZC: $i,ZB: $i,ZA: $i,Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O )
| ~ ( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
| ~ ( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M )
| ~ ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L )
| ~ ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
| ~ ( ssPv4_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z @ ZA @ ZB @ ZC @ ZD @ ZE @ ZF @ ZG )
| ~ ( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z @ ZA @ ZB @ ZC @ ZD @ ZE )
| ~ ( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z @ ZA @ ZB @ ZC @ ZD )
| ~ ( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z @ ZA @ ZB @ ZC )
| ~ ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z @ ZA @ ZB )
| ~ ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z @ ZA )
| ( ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z @ ZA @ ZB @ ZC @ ZD )
| ( ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z @ ZA @ ZB @ ZC )
| ( ssPv19_2r1r1 @ Q @ R )
| ( ( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P )
!= ( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z @ ZA @ ZB @ ZC @ ZD @ ZE @ ZF ) ) ),
inference(paramod_ordered,[status(thm)],[334,320]) ).
thf(339,plain,
! [Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O )
| ~ ( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
| ~ ( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M )
| ~ ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L )
| ~ ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
| ~ ( ssPv4_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
| ~ ( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O )
| ~ ( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
| ~ ( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M )
| ~ ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L )
| ~ ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
| ( ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
| ( ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M )
| ( ssPv19_2r1r1 @ A @ B ) ),
inference(pattern_uni,[status(thm)],[338:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( C )),bind(D,$thf( D )),bind(E,$thf( E )),bind(F,$thf( F )),bind(G,$thf( G )),bind(H,$thf( H )),bind(I,$thf( I )),bind(J,$thf( J )),bind(K,$thf( K )),bind(L,$thf( L )),bind(M,$thf( M )),bind(N,$thf( N )),bind(O,$thf( O )),bind(P,$thf( P )),bind(Q,$thf( A )),bind(R,$thf( B )),bind(S,$thf( C )),bind(T,$thf( D )),bind(U,$thf( E )),bind(V,$thf( F )),bind(W,$thf( G )),bind(X,$thf( H )),bind(Y,$thf( I )),bind(Z,$thf( J )),bind(ZA,$thf( K )),bind(ZB,$thf( L )),bind(ZC,$thf( M )),bind(ZD,$thf( N )),bind(ZE,$thf( O )),bind(ZF,$thf( P ))]]) ).
thf(340,plain,
! [Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O )
| ~ ( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
| ~ ( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M )
| ~ ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L )
| ~ ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
| ~ ( ssPv4_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
| ( ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
| ( ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M )
| ( ssPv19_2r1r1 @ A @ B ) ),
inference(simp,[status(thm)],[339]) ).
thf(364,plain,
! [Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O )
| ~ ( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
| ~ ( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M )
| ~ ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L )
| ~ $true
| ~ ( ssPv4_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
| ( ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
| ( ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M )
| ( ssPv19_2r1r1 @ A @ B ) ),
inference(rewrite,[status(thm)],[340,361]) ).
thf(365,plain,
! [Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O )
| ~ ( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
| ~ ( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M )
| ~ ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L )
| ~ ( ssPv4_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
| ( ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
| ( ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M )
| ( ssPv19_2r1r1 @ A @ B ) ),
inference(simp,[status(thm)],[364]) ).
thf(394,plain,
! [ZD: $i,ZC: $i,ZB: $i,ZA: $i,Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L )
| ~ ( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z @ ZA @ ZB )
| ~ ( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z @ ZA )
| ~ ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y )
| ~ ( ssPv4_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z @ ZA @ ZB @ ZC @ ZD )
| ( ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z @ ZA )
| ( ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
| ( ssPv19_2r1r1 @ N @ O )
| ( ( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M )
!= ( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ) ),
inference(paramod_ordered,[status(thm)],[379,365]) ).
thf(395,plain,
! [Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L )
| ~ ( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O )
| ~ ( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
| ~ ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L )
| ~ ( ssPv4_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
| ( ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
| ( ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M )
| ( ssPv19_2r1r1 @ A @ B ) ),
inference(pattern_uni,[status(thm)],[394:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( C )),bind(D,$thf( D )),bind(E,$thf( E )),bind(F,$thf( F )),bind(G,$thf( G )),bind(H,$thf( H )),bind(I,$thf( I )),bind(J,$thf( J )),bind(K,$thf( K )),bind(L,$thf( L )),bind(M,$thf( M )),bind(N,$thf( A )),bind(O,$thf( B )),bind(P,$thf( C )),bind(Q,$thf( D )),bind(R,$thf( E )),bind(S,$thf( F )),bind(T,$thf( G )),bind(U,$thf( H )),bind(V,$thf( I )),bind(W,$thf( J )),bind(X,$thf( K )),bind(Y,$thf( L )),bind(Z,$thf( M ))]]) ).
thf(396,plain,
! [Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L )
| ~ ( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O )
| ~ ( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
| ~ ( ssPv4_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
| ( ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
| ( ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M )
| ( ssPv19_2r1r1 @ A @ B ) ),
inference(simp,[status(thm)],[395]) ).
thf(448,plain,
! [Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ $true
| ~ ( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O )
| ~ ( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
| ~ ( ssPv4_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
| ( ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
| ( ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M )
| ( ssPv19_2r1r1 @ A @ B ) ),
inference(rewrite,[status(thm)],[396,435]) ).
thf(449,plain,
! [Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O )
| ~ ( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
| ~ ( ssPv4_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
| ( ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
| ( ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M )
| ( ssPv19_2r1r1 @ A @ B ) ),
inference(simp,[status(thm)],[448]) ).
thf(971,plain,
! [Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O )
| ~ $true
| ~ ( ssPv4_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
| ( ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
| ( ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M )
| ( ssPv19_2r1r1 @ A @ B ) ),
inference(rewrite,[status(thm)],[449,970]) ).
thf(972,plain,
! [Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O )
| ~ ( ssPv4_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
| ( ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
| ( ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M )
| ( ssPv19_2r1r1 @ A @ B ) ),
inference(simp,[status(thm)],[971]) ).
thf(1224,plain,
! [ZE: $i,ZD: $i,ZC: $i,ZB: $i,ZA: $i,Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ skc28 @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O )
| ( ssPv11_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ skc28 @ F @ G @ H @ I )
| ~ ( ssPv19_2r1r1 @ Q @ R )
| ( ( ssPv4_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ skc28 @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P )
!= ( ssPv4_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ Q @ R @ S @ T @ U @ V @ skc26 @ skc24 @ W @ X @ Y @ Z @ ZA @ ZB @ ZC @ ZD @ ZE ) ) ),
inference(paramod_ordered,[status(thm)],[1201,1114]) ).
thf(1225,plain,
! [M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ skc28 @ skc26 @ skc24 @ F @ G @ H @ I @ J @ K @ L @ M )
| ( ssPv11_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ skc28 @ skc26 @ skc24 @ F @ G )
| ~ ( ssPv19_2r1r1 @ A @ B ) ),
inference(pattern_uni,[status(thm)],[1224:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( C )),bind(D,$thf( D )),bind(E,$thf( E )),bind(F,$thf( skc26 )),bind(G,$thf( skc24 )),bind(H,$thf( H )),bind(I,$thf( I )),bind(J,$thf( J )),bind(K,$thf( K )),bind(L,$thf( L )),bind(M,$thf( M )),bind(N,$thf( N )),bind(O,$thf( O )),bind(P,$thf( P )),bind(Q,$thf( A )),bind(R,$thf( B )),bind(S,$thf( C )),bind(T,$thf( D )),bind(U,$thf( E )),bind(V,$thf( skc28 )),bind(W,$thf( H )),bind(X,$thf( I )),bind(Y,$thf( J )),bind(Z,$thf( K )),bind(ZA,$thf( L )),bind(ZB,$thf( M )),bind(ZC,$thf( N )),bind(ZD,$thf( O )),bind(ZE,$thf( P ))]]) ).
thf(1227,plain,
! [M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ skc28 @ skc26 @ skc24 @ F @ G @ H @ I @ J @ K @ L @ M )
| ( ssPv11_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ skc28 @ skc26 @ skc24 @ F @ G )
| ~ ( ssPv19_2r1r1 @ A @ B ) ),
inference(simp,[status(thm)],[1225]) ).
thf(1314,plain,
! [ZB: $i,ZA: $i,Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ssPv11_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ skc28 @ skc26 @ skc24 @ F @ G )
| ~ ( ssPv19_2r1r1 @ A @ B )
| ( ( ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ skc28 @ skc26 @ skc24 @ F @ G @ H @ I @ J @ K @ L @ M )
!= ( ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z @ ZA @ ZB @ skc17 ) ) ),
inference(paramod_ordered,[status(thm)],[1227,984]) ).
thf(1315,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ssPv11_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ skc28 @ skc26 @ skc24 @ F @ G )
| ~ ( ssPv19_2r1r1 @ A @ B ) ),
inference(pattern_uni,[status(thm)],[1314:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( C )),bind(D,$thf( D )),bind(E,$thf( E )),bind(F,$thf( F )),bind(G,$thf( G )),bind(H,$thf( H )),bind(I,$thf( I )),bind(J,$thf( J )),bind(K,$thf( K )),bind(L,$thf( L )),bind(M,$thf( skc17 )),bind(N,$thf( A )),bind(O,$thf( B )),bind(P,$thf( C )),bind(Q,$thf( D )),bind(R,$thf( E )),bind(S,$thf( skc28 )),bind(T,$thf( skc26 )),bind(U,$thf( skc24 )),bind(V,$thf( F )),bind(W,$thf( G )),bind(X,$thf( H )),bind(Y,$thf( I )),bind(Z,$thf( J )),bind(ZA,$thf( K )),bind(ZB,$thf( L ))]]) ).
thf(1319,plain,
! [O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssPv19_2r1r1 @ A @ B )
| ~ ( ssPv19_2r1r1 @ H @ I )
| ( ( ssPv11_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ skc28 @ skc26 @ skc24 @ F @ G )
!= ( ssPv11_10r1r1r1r1r1r1r1r1r1r1 @ H @ I @ J @ K @ L @ M @ skc26 @ skc24 @ N @ O ) ) ),
inference(paramod_ordered,[status(thm)],[1315,1102]) ).
thf(1320,plain,
! [B: $i,A: $i] :
( ~ ( ssPv19_2r1r1 @ A @ B )
| ~ ( ssPv19_2r1r1 @ A @ B ) ),
inference(pattern_uni,[status(thm)],[1319:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( C )),bind(D,$thf( D )),bind(E,$thf( E )),bind(F,$thf( F )),bind(G,$thf( G )),bind(H,$thf( A )),bind(I,$thf( B )),bind(J,$thf( C )),bind(K,$thf( D )),bind(L,$thf( E )),bind(M,$thf( skc28 )),bind(N,$thf( F )),bind(O,$thf( G ))]]) ).
thf(1325,plain,
! [B: $i,A: $i] :
~ ( ssPv19_2r1r1 @ A @ B ),
inference(simp,[status(thm)],[1320]) ).
thf(1569,plain,
! [Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ $true
| ~ ( ssPv4_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
| ( ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
| ( ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M )
| $false ),
inference(rewrite,[status(thm)],[972,1088,1325]) ).
thf(1570,plain,
! [Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssPv4_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
| ( ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
| ( ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M ) ),
inference(simp,[status(thm)],[1569]) ).
thf(1583,plain,
! [ZE: $i,ZD: $i,ZC: $i,ZB: $i,ZA: $i,Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z @ ZA @ ZB )
| ( ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z @ ZA )
| ( ( ssPv4_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ skc28 @ F @ G @ H @ I @ J @ K @ L @ M @ skc18 @ skc16 @ N )
!= ( ssPv4_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z @ ZA @ ZB @ ZC @ ZD @ ZE ) ) ),
inference(paramod_ordered,[status(thm)],[1543,1570]) ).
thf(1584,plain,
! [M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ skc28 @ F @ G @ H @ I @ J @ K @ L @ M )
| ( ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ skc28 @ F @ G @ H @ I @ J @ K @ L ) ),
inference(pattern_uni,[status(thm)],[1583:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( C )),bind(D,$thf( D )),bind(E,$thf( E )),bind(F,$thf( F )),bind(G,$thf( G )),bind(H,$thf( H )),bind(I,$thf( I )),bind(J,$thf( J )),bind(K,$thf( K )),bind(L,$thf( L )),bind(M,$thf( M )),bind(N,$thf( N )),bind(O,$thf( A )),bind(P,$thf( B )),bind(Q,$thf( C )),bind(R,$thf( D )),bind(S,$thf( E )),bind(T,$thf( skc28 )),bind(U,$thf( F )),bind(V,$thf( G )),bind(W,$thf( H )),bind(X,$thf( I )),bind(Y,$thf( J )),bind(Z,$thf( K )),bind(ZA,$thf( L )),bind(ZB,$thf( M )),bind(ZC,$thf( skc18 )),bind(ZD,$thf( skc16 )),bind(ZE,$thf( N ))]]) ).
thf(29,negated_conjecture,
! [M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ skc21 )
| ~ ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L )
| ~ ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
| ~ ( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J )
| ~ ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I )
| ~ ( ssNder1_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H )
| ~ ( ssNder1_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G )
| ~ ( ssNder1_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
| ~ ( ssNder1_5r1r1r1r1r1 @ A @ B @ C @ D @ E )
| ~ ( ssNder1_4r1r1r1r1 @ A @ B @ C @ D )
| ~ ( ssNder1_3r1r1r1 @ A @ B @ C )
| ~ ( ssNder1_2r1r1 @ A @ B )
| ~ ( ssNder1_1r1 @ A )
| ~ ssNder1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause29) ).
thf(73,plain,
! [M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ skc21 )
| ~ ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L )
| ~ ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
| ~ ( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J )
| ~ ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I )
| ~ ( ssNder1_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H )
| ~ ( ssNder1_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G )
| ~ ( ssNder1_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
| ~ ( ssNder1_5r1r1r1r1r1 @ A @ B @ C @ D @ E )
| ~ ( ssNder1_4r1r1r1r1 @ A @ B @ C @ D )
| ~ ( ssNder1_3r1r1r1 @ A @ B @ C )
| ~ ( ssNder1_2r1r1 @ A @ B )
| ~ ( ssNder1_1r1 @ A )
| ~ ssNder1_0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[29]) ).
thf(141,plain,
! [M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ skc21 )
| ~ ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L )
| ~ ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
| ~ ( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J )
| ~ ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I )
| ~ ( ssNder1_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H )
| ~ ( ssNder1_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G )
| ~ ( ssNder1_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
| ~ ( ssNder1_5r1r1r1r1r1 @ A @ B @ C @ D @ E )
| ~ ( ssNder1_4r1r1r1r1 @ A @ B @ C @ D )
| ~ ( ssNder1_3r1r1r1 @ A @ B @ C )
| ~ ( ssNder1_2r1r1 @ A @ B )
| ~ ( ssNder1_1r1 @ A )
| ~ ssNder1_0 ),
inference(cnf,[status(esa)],[73]) ).
thf(231,plain,
! [M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ skc21 )
| ~ ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L )
| ~ ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
| ~ ( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J )
| ~ ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I )
| ~ ( ssNder1_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H )
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true ),
inference(rewrite,[status(thm)],[141,224,194,181,169,58,171,220,173]) ).
thf(232,plain,
! [M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ skc21 )
| ~ ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L )
| ~ ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
| ~ ( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J )
| ~ ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I )
| ~ ( ssNder1_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H ) ),
inference(simp,[status(thm)],[231]) ).
thf(244,plain,
! [W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I )
| ~ ( ssNder1_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H )
| ~ ( ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ skc21 )
| ~ ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V )
| ~ ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U )
| ~ ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ K @ L @ M @ N @ O @ P @ Q @ R @ S )
| ~ ( ssNder1_8r1r1r1r1r1r1r1r1 @ K @ L @ M @ N @ O @ P @ Q @ R )
| ( ( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J )
!= ( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T ) ) ),
inference(paramod_ordered,[status(thm)],[226,232]) ).
thf(245,plain,
! [M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I )
| ~ ( ssNder1_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H )
| ~ ( ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ skc21 )
| ~ ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L )
| ~ ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
| ~ ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I )
| ~ ( ssNder1_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H ) ),
inference(pattern_uni,[status(thm)],[244:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( C )),bind(D,$thf( D )),bind(E,$thf( E )),bind(F,$thf( F )),bind(G,$thf( G )),bind(H,$thf( H )),bind(I,$thf( I )),bind(J,$thf( J )),bind(K,$thf( A )),bind(L,$thf( B )),bind(M,$thf( C )),bind(N,$thf( D )),bind(O,$thf( E )),bind(P,$thf( F )),bind(Q,$thf( G )),bind(R,$thf( H )),bind(S,$thf( I )),bind(T,$thf( J ))]]) ).
thf(249,plain,
! [M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I )
| ~ ( ssNder1_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H )
| ~ ( ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ skc21 )
| ~ ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L )
| ~ ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K ) ),
inference(simp,[status(thm)],[245]) ).
thf(286,plain,
! [M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I )
| ~ $true
| ~ ( ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ skc21 )
| ~ ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L )
| ~ ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K ) ),
inference(rewrite,[status(thm)],[249,283]) ).
thf(287,plain,
! [M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I )
| ~ ( ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ skc21 )
| ~ ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L )
| ~ ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K ) ),
inference(simp,[status(thm)],[286]) ).
thf(315,plain,
! [M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ $true
| ~ ( ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ skc21 )
| ~ ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L )
| ~ ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K ) ),
inference(rewrite,[status(thm)],[287,304]) ).
thf(316,plain,
! [M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ skc21 )
| ~ ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L )
| ~ ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K ) ),
inference(simp,[status(thm)],[315]) ).
thf(368,plain,
! [M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ skc21 )
| ~ ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L )
| ~ $true ),
inference(rewrite,[status(thm)],[316,361]) ).
thf(369,plain,
! [M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ skc21 )
| ~ ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L ) ),
inference(simp,[status(thm)],[368]) ).
thf(446,plain,
! [M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ skc21 )
| ~ $true ),
inference(rewrite,[status(thm)],[369,435]) ).
thf(447,plain,
! [M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
~ ( ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ skc21 ),
inference(simp,[status(thm)],[446]) ).
thf(1587,plain,
! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ skc28 @ F @ G @ H @ I @ J @ K @ L )
| ( ( ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ skc28 @ F @ G @ H @ I @ J @ K @ L @ M )
!= ( ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z @ skc21 ) ) ),
inference(paramod_ordered,[status(thm)],[1584,447]) ).
thf(1588,plain,
! [L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] : ( ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ skc28 @ F @ G @ H @ I @ J @ K @ L ),
inference(pattern_uni,[status(thm)],[1587:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( C )),bind(D,$thf( D )),bind(E,$thf( E )),bind(F,$thf( F )),bind(G,$thf( G )),bind(H,$thf( H )),bind(I,$thf( I )),bind(J,$thf( J )),bind(K,$thf( K )),bind(L,$thf( L )),bind(M,$thf( skc21 )),bind(N,$thf( A )),bind(O,$thf( B )),bind(P,$thf( C )),bind(Q,$thf( D )),bind(R,$thf( E )),bind(S,$thf( skc28 )),bind(T,$thf( F )),bind(U,$thf( G )),bind(V,$thf( H )),bind(W,$thf( I )),bind(X,$thf( J )),bind(Y,$thf( K )),bind(Z,$thf( L ))]]) ).
thf(25,negated_conjecture,
! [L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ skc23 )
| ~ ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
| ~ ( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J )
| ~ ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I )
| ~ ( ssNder1_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H )
| ~ ( ssNder1_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G )
| ~ ( ssNder1_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
| ~ ( ssNder1_5r1r1r1r1r1 @ A @ B @ C @ D @ E )
| ~ ( ssNder1_4r1r1r1r1 @ A @ B @ C @ D )
| ~ ( ssNder1_3r1r1r1 @ A @ B @ C )
| ~ ( ssNder1_2r1r1 @ A @ B )
| ~ ( ssNder1_1r1 @ A )
| ~ ssNder1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause25) ).
thf(68,plain,
! [L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ skc23 )
| ~ ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
| ~ ( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J )
| ~ ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I )
| ~ ( ssNder1_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H )
| ~ ( ssNder1_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G )
| ~ ( ssNder1_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
| ~ ( ssNder1_5r1r1r1r1r1 @ A @ B @ C @ D @ E )
| ~ ( ssNder1_4r1r1r1r1 @ A @ B @ C @ D )
| ~ ( ssNder1_3r1r1r1 @ A @ B @ C )
| ~ ( ssNder1_2r1r1 @ A @ B )
| ~ ( ssNder1_1r1 @ A )
| ~ ssNder1_0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).
thf(162,plain,
! [L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ skc23 )
| ~ ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
| ~ ( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J )
| ~ ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I )
| ~ ( ssNder1_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H )
| ~ ( ssNder1_7r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G )
| ~ ( ssNder1_6r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F )
| ~ ( ssNder1_5r1r1r1r1r1 @ A @ B @ C @ D @ E )
| ~ ( ssNder1_4r1r1r1r1 @ A @ B @ C @ D )
| ~ ( ssNder1_3r1r1r1 @ A @ B @ C )
| ~ ( ssNder1_2r1r1 @ A @ B )
| ~ ( ssNder1_1r1 @ A )
| ~ ssNder1_0 ),
inference(cnf,[status(esa)],[68]) ).
thf(229,plain,
! [L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ skc23 )
| ~ ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
| ~ ( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J )
| ~ ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I )
| ~ ( ssNder1_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H )
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true ),
inference(rewrite,[status(thm)],[162,224,194,181,169,58,171,220,173]) ).
thf(230,plain,
! [L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ skc23 )
| ~ ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
| ~ ( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J )
| ~ ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I )
| ~ ( ssNder1_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H ) ),
inference(simp,[status(thm)],[229]) ).
thf(242,plain,
! [V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I )
| ~ ( ssNder1_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H )
| ~ ( ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ skc23 )
| ~ ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U )
| ~ ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ K @ L @ M @ N @ O @ P @ Q @ R @ S )
| ~ ( ssNder1_8r1r1r1r1r1r1r1r1 @ K @ L @ M @ N @ O @ P @ Q @ R )
| ( ( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J )
!= ( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T ) ) ),
inference(paramod_ordered,[status(thm)],[226,230]) ).
thf(243,plain,
! [L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I )
| ~ ( ssNder1_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H )
| ~ ( ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ skc23 )
| ~ ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
| ~ ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I )
| ~ ( ssNder1_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H ) ),
inference(pattern_uni,[status(thm)],[242:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( C )),bind(D,$thf( D )),bind(E,$thf( E )),bind(F,$thf( F )),bind(G,$thf( G )),bind(H,$thf( H )),bind(I,$thf( I )),bind(J,$thf( J )),bind(K,$thf( A )),bind(L,$thf( B )),bind(M,$thf( C )),bind(N,$thf( D )),bind(O,$thf( E )),bind(P,$thf( F )),bind(Q,$thf( G )),bind(R,$thf( H )),bind(S,$thf( I )),bind(T,$thf( J ))]]) ).
thf(248,plain,
! [L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I )
| ~ ( ssNder1_8r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H )
| ~ ( ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ skc23 )
| ~ ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K ) ),
inference(simp,[status(thm)],[243]) ).
thf(290,plain,
! [L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I )
| ~ $true
| ~ ( ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ skc23 )
| ~ ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K ) ),
inference(rewrite,[status(thm)],[248,283]) ).
thf(291,plain,
! [L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I )
| ~ ( ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ skc23 )
| ~ ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K ) ),
inference(simp,[status(thm)],[290]) ).
thf(307,plain,
! [L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ $true
| ~ ( ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ skc23 )
| ~ ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K ) ),
inference(rewrite,[status(thm)],[291,304]) ).
thf(308,plain,
! [L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ skc23 )
| ~ ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K ) ),
inference(simp,[status(thm)],[307]) ).
thf(362,plain,
! [L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ skc23 )
| ~ $true ),
inference(rewrite,[status(thm)],[308,361]) ).
thf(363,plain,
! [L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
~ ( ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ skc23 ),
inference(simp,[status(thm)],[362]) ).
thf(1592,plain,
! [X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ A @ B @ C @ D @ E @ skc28 @ F @ G @ H @ I @ J @ K @ L )
!= ( ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ skc23 ) ),
inference(paramod_ordered,[status(thm)],[1588,363]) ).
thf(1593,plain,
$false,
inference(pattern_uni,[status(thm)],[1592:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( C )),bind(D,$thf( D )),bind(E,$thf( E )),bind(F,$thf( F )),bind(G,$thf( G )),bind(H,$thf( H )),bind(I,$thf( I )),bind(J,$thf( J )),bind(K,$thf( K )),bind(L,$thf( skc23 )),bind(M,$thf( A )),bind(N,$thf( B )),bind(O,$thf( C )),bind(P,$thf( D )),bind(Q,$thf( E )),bind(R,$thf( skc28 )),bind(S,$thf( F )),bind(T,$thf( G )),bind(U,$thf( H )),bind(V,$thf( I )),bind(W,$thf( J )),bind(X,$thf( K ))]]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : SYN871-1 : TPTP v8.2.0. Released v2.5.0.
% 0.09/0.12 % Command : run_Leo-III %s %d
% 0.11/0.32 % Computer : n017.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Mon May 20 14:00:24 EDT 2024
% 0.11/0.32 % CPUTime :
% 0.97/0.92 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.69/1.18 % [INFO] Parsing done (258ms).
% 1.72/1.20 % [INFO] Running in sequential loop mode.
% 2.39/1.55 % [INFO] nitpick registered as external prover.
% 2.39/1.55 % [INFO] Scanning for conjecture ...
% 3.29/1.93 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 4.68/2.47 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 4.68/2.47 % [INFO] Problem is propositional (TPTP CNF).
% 4.68/2.48 % [INFO] Type checking passed.
% 4.68/2.49 % [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 ...
% 70.61/12.51 % [INFO] Killing All external provers ...
% 70.61/12.51 % Time passed: 12044ms (effective reasoning time: 11308ms)
% 70.61/12.51 % Axioms used in derivation (0):
% 70.61/12.51 % No. of inferences in proof: 390
% 70.61/12.52 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : 12044 ms resp. 11308 ms w/o parsing
% 71.14/12.67 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 71.14/12.67 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------