TSTP Solution File: SWV122+1 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWV122+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.8yQ9rHO4Rt true
% Computer : n008.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 : Fri Sep 1 00:07:57 EDT 2023
% Result : Theorem 134.48s 19.93s
% Output : Refutation 134.48s
% Verified :
% SZS Type : Refutation
% Derivation depth : 38
% Number of leaves : 34
% Syntax : Number of formulae : 1023 ( 259 unt; 22 typ; 0 def)
% Number of atoms : 3054 ( 568 equ; 0 cnn)
% Maximal formula atoms : 30 ( 3 avg)
% Number of connectives : 11433 (1331 ~;1995 |; 44 &;8049 @)
% ( 0 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 11 ( 11 >; 0 *; 0 +; 0 <<)
% Number of symbols : 24 ( 22 usr; 17 con; 0-3 aty)
% Number of variables : 171 ( 0 ^; 171 !; 0 ?; 171 :)
% Comments :
%------------------------------------------------------------------------------
thf(n3_type,type,
n3: $i ).
thf(pred_type,type,
pred: $i > $i ).
thf(plus_type,type,
plus: $i > $i > $i ).
thf(sk__27_type,type,
sk__27: $i ).
thf(a_select3_type,type,
a_select3: $i > $i > $i > $i ).
thf(minus_type,type,
minus: $i > $i > $i ).
thf(r_ds1_filter_type,type,
r_ds1_filter: $i ).
thf(sk__30_type,type,
sk__30: $i ).
thf(n2_type,type,
n2: $i ).
thf(sk__32_type,type,
sk__32: $i ).
thf(n1_type,type,
n1: $i ).
thf(leq_type,type,
leq: $i > $i > $o ).
thf(n6_type,type,
n6: $i ).
thf(sk__28_type,type,
sk__28: $i ).
thf(sk__29_type,type,
sk__29: $i ).
thf(n5_type,type,
n5: $i ).
thf(n0_type,type,
n0: $i ).
thf(succ_type,type,
succ: $i > $i ).
thf(q_ds1_filter_type,type,
q_ds1_filter: $i ).
thf(sk__31_type,type,
sk__31: $i ).
thf(pminus_ds1_filter_type,type,
pminus_ds1_filter: $i ).
thf(n4_type,type,
n4: $i ).
thf(quaternion_ds1_symm_0015,conjecture,
( ( ! [A: $i,B: $i] :
( ( ( leq @ n0 @ A )
& ( leq @ n0 @ B )
& ( leq @ A @ ( minus @ n6 @ n1 ) )
& ( leq @ B @ ( minus @ n6 @ n1 ) ) )
=> ( ( a_select3 @ q_ds1_filter @ A @ B )
= ( a_select3 @ q_ds1_filter @ B @ A ) ) )
& ! [C: $i,D: $i] :
( ( ( leq @ n0 @ C )
& ( leq @ n0 @ D )
& ( leq @ C @ ( minus @ n3 @ n1 ) )
& ( leq @ D @ ( minus @ n3 @ n1 ) ) )
=> ( ( a_select3 @ r_ds1_filter @ C @ D )
= ( a_select3 @ r_ds1_filter @ D @ C ) ) )
& ! [E: $i,F: $i] :
( ( ( leq @ n0 @ E )
& ( leq @ n0 @ F )
& ( leq @ E @ ( minus @ n6 @ n1 ) )
& ( leq @ F @ ( minus @ n6 @ n1 ) ) )
=> ( ( a_select3 @ pminus_ds1_filter @ E @ F )
= ( a_select3 @ pminus_ds1_filter @ F @ E ) ) ) )
=> ( ! [G: $i,H: $i] :
( ( ( leq @ n0 @ G )
& ( leq @ n0 @ H )
& ( leq @ G @ ( minus @ n6 @ n1 ) )
& ( leq @ H @ ( minus @ n6 @ n1 ) ) )
=> ( ( a_select3 @ q_ds1_filter @ G @ H )
= ( a_select3 @ q_ds1_filter @ H @ G ) ) )
& ! [I: $i,J: $i] :
( ( ( leq @ n0 @ I )
& ( leq @ n0 @ J )
& ( leq @ I @ ( minus @ n3 @ n1 ) )
& ( leq @ J @ ( minus @ n3 @ n1 ) ) )
=> ( ( a_select3 @ r_ds1_filter @ I @ J )
= ( a_select3 @ r_ds1_filter @ J @ I ) ) )
& ! [K: $i,L: $i] :
( ( ( leq @ n0 @ K )
& ( leq @ n0 @ L )
& ( leq @ K @ ( minus @ n6 @ n1 ) )
& ( leq @ L @ ( minus @ n6 @ n1 ) ) )
=> ( ( a_select3 @ pminus_ds1_filter @ K @ L )
= ( a_select3 @ pminus_ds1_filter @ L @ K ) ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ( ( ! [A: $i,B: $i] :
( ( ( leq @ n0 @ A )
& ( leq @ n0 @ B )
& ( leq @ A @ ( minus @ n6 @ n1 ) )
& ( leq @ B @ ( minus @ n6 @ n1 ) ) )
=> ( ( a_select3 @ q_ds1_filter @ A @ B )
= ( a_select3 @ q_ds1_filter @ B @ A ) ) )
& ! [C: $i,D: $i] :
( ( ( leq @ n0 @ C )
& ( leq @ n0 @ D )
& ( leq @ C @ ( minus @ n3 @ n1 ) )
& ( leq @ D @ ( minus @ n3 @ n1 ) ) )
=> ( ( a_select3 @ r_ds1_filter @ C @ D )
= ( a_select3 @ r_ds1_filter @ D @ C ) ) )
& ! [E: $i,F: $i] :
( ( ( leq @ n0 @ E )
& ( leq @ n0 @ F )
& ( leq @ E @ ( minus @ n6 @ n1 ) )
& ( leq @ F @ ( minus @ n6 @ n1 ) ) )
=> ( ( a_select3 @ pminus_ds1_filter @ E @ F )
= ( a_select3 @ pminus_ds1_filter @ F @ E ) ) ) )
=> ( ! [G: $i,H: $i] :
( ( ( leq @ n0 @ G )
& ( leq @ n0 @ H )
& ( leq @ G @ ( minus @ n6 @ n1 ) )
& ( leq @ H @ ( minus @ n6 @ n1 ) ) )
=> ( ( a_select3 @ q_ds1_filter @ G @ H )
= ( a_select3 @ q_ds1_filter @ H @ G ) ) )
& ! [I: $i,J: $i] :
( ( ( leq @ n0 @ I )
& ( leq @ n0 @ J )
& ( leq @ I @ ( minus @ n3 @ n1 ) )
& ( leq @ J @ ( minus @ n3 @ n1 ) ) )
=> ( ( a_select3 @ r_ds1_filter @ I @ J )
= ( a_select3 @ r_ds1_filter @ J @ I ) ) )
& ! [K: $i,L: $i] :
( ( ( leq @ n0 @ K )
& ( leq @ n0 @ L )
& ( leq @ K @ ( minus @ n6 @ n1 ) )
& ( leq @ L @ ( minus @ n6 @ n1 ) ) )
=> ( ( a_select3 @ pminus_ds1_filter @ K @ L )
= ( a_select3 @ pminus_ds1_filter @ L @ K ) ) ) ) ),
inference('cnf.neg',[status(esa)],[quaternion_ds1_symm_0015]) ).
thf(zip_derived_cl120,plain,
! [X2: $i,X3: $i] :
( ~ ( leq @ X2 @ ( minus @ n3 @ n1 ) )
| ~ ( leq @ n0 @ X2 )
| ~ ( leq @ n0 @ X3 )
| ~ ( leq @ X3 @ ( minus @ n3 @ n1 ) )
| ( ( a_select3 @ r_ds1_filter @ X2 @ X3 )
= ( a_select3 @ r_ds1_filter @ X3 @ X2 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(successor_3,axiom,
( ( succ @ ( succ @ ( succ @ n0 ) ) )
= n3 ) ).
thf(zip_derived_cl287,plain,
( ( succ @ ( succ @ ( succ @ n0 ) ) )
= n3 ),
inference(cnf,[status(esa)],[successor_3]) ).
thf(successor_1,axiom,
( ( succ @ n0 )
= n1 ) ).
thf(zip_derived_cl285,plain,
( ( succ @ n0 )
= n1 ),
inference(cnf,[status(esa)],[successor_1]) ).
thf(successor_2,axiom,
( ( succ @ ( succ @ n0 ) )
= n2 ) ).
thf(zip_derived_cl286,plain,
( ( succ @ ( succ @ n0 ) )
= n2 ),
inference(cnf,[status(esa)],[successor_2]) ).
thf(zip_derived_cl285_001,plain,
( ( succ @ n0 )
= n1 ),
inference(cnf,[status(esa)],[successor_1]) ).
thf(zip_derived_cl2069,plain,
( ( succ @ n1 )
= n2 ),
inference(demod,[status(thm)],[zip_derived_cl286,zip_derived_cl285]) ).
thf(zip_derived_cl2470,plain,
( ( succ @ n2 )
= n3 ),
inference(demod,[status(thm)],[zip_derived_cl287,zip_derived_cl285,zip_derived_cl2069]) ).
thf(pred_succ,axiom,
! [X: $i] :
( ( pred @ ( succ @ X ) )
= X ) ).
thf(zip_derived_cl99,plain,
! [X0: $i] :
( ( pred @ ( succ @ X0 ) )
= X0 ),
inference(cnf,[status(esa)],[pred_succ]) ).
thf(zip_derived_cl2479,plain,
( ( pred @ n3 )
= n2 ),
inference('s_sup+',[status(thm)],[zip_derived_cl2470,zip_derived_cl99]) ).
thf(pred_minus_1,axiom,
! [X: $i] :
( ( minus @ X @ n1 )
= ( pred @ X ) ) ).
thf(zip_derived_cl98,plain,
! [X0: $i] :
( ( minus @ X0 @ n1 )
= ( pred @ X0 ) ),
inference(cnf,[status(esa)],[pred_minus_1]) ).
thf(zip_derived_cl2491,plain,
( ( minus @ n3 @ n1 )
= n2 ),
inference('s_sup+',[status(thm)],[zip_derived_cl2479,zip_derived_cl98]) ).
thf(zip_derived_cl2491_002,plain,
( ( minus @ n3 @ n1 )
= n2 ),
inference('s_sup+',[status(thm)],[zip_derived_cl2479,zip_derived_cl98]) ).
thf(zip_derived_cl2712,plain,
! [X2: $i,X3: $i] :
( ~ ( leq @ X2 @ n2 )
| ~ ( leq @ n0 @ X2 )
| ~ ( leq @ n0 @ X3 )
| ~ ( leq @ X3 @ n2 )
| ( ( a_select3 @ r_ds1_filter @ X2 @ X3 )
= ( a_select3 @ r_ds1_filter @ X3 @ X2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl120,zip_derived_cl2491,zip_derived_cl2491]) ).
thf(zip_derived_cl121,plain,
! [X4: $i,X5: $i] :
( ~ ( leq @ X4 @ ( minus @ n6 @ n1 ) )
| ~ ( leq @ n0 @ X4 )
| ~ ( leq @ n0 @ X5 )
| ~ ( leq @ X5 @ ( minus @ n6 @ n1 ) )
| ( ( a_select3 @ pminus_ds1_filter @ X4 @ X5 )
= ( a_select3 @ pminus_ds1_filter @ X5 @ X4 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(successor_6,axiom,
( ( succ @ ( succ @ ( succ @ ( succ @ ( succ @ ( succ @ n0 ) ) ) ) ) )
= n6 ) ).
thf(zip_derived_cl284,plain,
( ( succ @ ( succ @ ( succ @ ( succ @ ( succ @ ( succ @ n0 ) ) ) ) ) )
= n6 ),
inference(cnf,[status(esa)],[successor_6]) ).
thf(zip_derived_cl285_003,plain,
( ( succ @ n0 )
= n1 ),
inference(cnf,[status(esa)],[successor_1]) ).
thf(zip_derived_cl2069_004,plain,
( ( succ @ n1 )
= n2 ),
inference(demod,[status(thm)],[zip_derived_cl286,zip_derived_cl285]) ).
thf(zip_derived_cl2470_005,plain,
( ( succ @ n2 )
= n3 ),
inference(demod,[status(thm)],[zip_derived_cl287,zip_derived_cl285,zip_derived_cl2069]) ).
thf(successor_4,axiom,
( ( succ @ ( succ @ ( succ @ ( succ @ n0 ) ) ) )
= n4 ) ).
thf(zip_derived_cl282,plain,
( ( succ @ ( succ @ ( succ @ ( succ @ n0 ) ) ) )
= n4 ),
inference(cnf,[status(esa)],[successor_4]) ).
thf(zip_derived_cl285_006,plain,
( ( succ @ n0 )
= n1 ),
inference(cnf,[status(esa)],[successor_1]) ).
thf(zip_derived_cl2069_007,plain,
( ( succ @ n1 )
= n2 ),
inference(demod,[status(thm)],[zip_derived_cl286,zip_derived_cl285]) ).
thf(zip_derived_cl2470_008,plain,
( ( succ @ n2 )
= n3 ),
inference(demod,[status(thm)],[zip_derived_cl287,zip_derived_cl285,zip_derived_cl2069]) ).
thf(zip_derived_cl2555,plain,
( ( succ @ n3 )
= n4 ),
inference(demod,[status(thm)],[zip_derived_cl282,zip_derived_cl285,zip_derived_cl2069,zip_derived_cl2470]) ).
thf(succ_plus_1_l,axiom,
! [X: $i] :
( ( plus @ n1 @ X )
= ( succ @ X ) ) ).
thf(zip_derived_cl89,plain,
! [X0: $i] :
( ( plus @ n1 @ X0 )
= ( succ @ X0 ) ),
inference(cnf,[status(esa)],[succ_plus_1_l]) ).
thf(succ_plus_5_r,axiom,
! [X: $i] :
( ( plus @ X @ n5 )
= ( succ @ ( succ @ ( succ @ ( succ @ ( succ @ X ) ) ) ) ) ) ).
thf(zip_derived_cl96,plain,
! [X0: $i] :
( ( plus @ X0 @ n5 )
= ( succ @ ( succ @ ( succ @ ( succ @ ( succ @ X0 ) ) ) ) ) ),
inference(cnf,[status(esa)],[succ_plus_5_r]) ).
thf(succ_plus_3_l,axiom,
! [X: $i] :
( ( plus @ n3 @ X )
= ( succ @ ( succ @ ( succ @ X ) ) ) ) ).
thf(zip_derived_cl93,plain,
! [X0: $i] :
( ( plus @ n3 @ X0 )
= ( succ @ ( succ @ ( succ @ X0 ) ) ) ),
inference(cnf,[status(esa)],[succ_plus_3_l]) ).
thf(succ_plus_4_r,axiom,
! [X: $i] :
( ( plus @ X @ n4 )
= ( succ @ ( succ @ ( succ @ ( succ @ X ) ) ) ) ) ).
thf(zip_derived_cl94,plain,
! [X0: $i] :
( ( plus @ X0 @ n4 )
= ( succ @ ( succ @ ( succ @ ( succ @ X0 ) ) ) ) ),
inference(cnf,[status(esa)],[succ_plus_4_r]) ).
thf(zip_derived_cl93_009,plain,
! [X0: $i] :
( ( plus @ n3 @ X0 )
= ( succ @ ( succ @ ( succ @ X0 ) ) ) ),
inference(cnf,[status(esa)],[succ_plus_3_l]) ).
thf(zip_derived_cl2417,plain,
! [X0: $i] :
( ( plus @ X0 @ n4 )
= ( succ @ ( plus @ n3 @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl94,zip_derived_cl93]) ).
thf(zip_derived_cl2449,plain,
! [X0: $i] :
( ( plus @ X0 @ n5 )
= ( succ @ ( plus @ X0 @ n4 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl96,zip_derived_cl93,zip_derived_cl2417]) ).
thf(zip_derived_cl2465,plain,
( ( plus @ n1 @ n5 )
= ( succ @ ( succ @ n4 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl89,zip_derived_cl2449]) ).
thf(zip_derived_cl89_010,plain,
! [X0: $i] :
( ( plus @ n1 @ X0 )
= ( succ @ X0 ) ),
inference(cnf,[status(esa)],[succ_plus_1_l]) ).
thf(zip_derived_cl2468,plain,
( ( succ @ n5 )
= ( succ @ ( succ @ n4 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2465,zip_derived_cl89]) ).
thf(zip_derived_cl99_011,plain,
! [X0: $i] :
( ( pred @ ( succ @ X0 ) )
= X0 ),
inference(cnf,[status(esa)],[pred_succ]) ).
thf(zip_derived_cl3047,plain,
( ( pred @ ( succ @ n5 ) )
= ( succ @ n4 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2468,zip_derived_cl99]) ).
thf(zip_derived_cl99_012,plain,
! [X0: $i] :
( ( pred @ ( succ @ X0 ) )
= X0 ),
inference(cnf,[status(esa)],[pred_succ]) ).
thf(zip_derived_cl3065,plain,
( n5
= ( succ @ n4 ) ),
inference(demod,[status(thm)],[zip_derived_cl3047,zip_derived_cl99]) ).
thf(zip_derived_cl5405,plain,
( ( succ @ n5 )
= n6 ),
inference(demod,[status(thm)],[zip_derived_cl284,zip_derived_cl285,zip_derived_cl2069,zip_derived_cl2470,zip_derived_cl2555,zip_derived_cl3065]) ).
thf(zip_derived_cl99_013,plain,
! [X0: $i] :
( ( pred @ ( succ @ X0 ) )
= X0 ),
inference(cnf,[status(esa)],[pred_succ]) ).
thf(zip_derived_cl98_014,plain,
! [X0: $i] :
( ( minus @ X0 @ n1 )
= ( pred @ X0 ) ),
inference(cnf,[status(esa)],[pred_minus_1]) ).
thf(zip_derived_cl2228,plain,
! [X0: $i] :
( ( minus @ ( succ @ X0 ) @ n1 )
= X0 ),
inference('s_sup+',[status(thm)],[zip_derived_cl99,zip_derived_cl98]) ).
thf(zip_derived_cl5436,plain,
( ( minus @ n6 @ n1 )
= n5 ),
inference('s_sup+',[status(thm)],[zip_derived_cl5405,zip_derived_cl2228]) ).
thf(zip_derived_cl5436_015,plain,
( ( minus @ n6 @ n1 )
= n5 ),
inference('s_sup+',[status(thm)],[zip_derived_cl5405,zip_derived_cl2228]) ).
thf(zip_derived_cl5519,plain,
! [X4: $i,X5: $i] :
( ~ ( leq @ X4 @ n5 )
| ~ ( leq @ n0 @ X4 )
| ~ ( leq @ n0 @ X5 )
| ~ ( leq @ X5 @ n5 )
| ( ( a_select3 @ pminus_ds1_filter @ X4 @ X5 )
= ( a_select3 @ pminus_ds1_filter @ X5 @ X4 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl121,zip_derived_cl5436,zip_derived_cl5436]) ).
thf(zip_derived_cl119,plain,
! [X0: $i,X1: $i] :
( ~ ( leq @ X0 @ ( minus @ n6 @ n1 ) )
| ~ ( leq @ n0 @ X0 )
| ~ ( leq @ n0 @ X1 )
| ~ ( leq @ X1 @ ( minus @ n6 @ n1 ) )
| ( ( a_select3 @ q_ds1_filter @ X0 @ X1 )
= ( a_select3 @ q_ds1_filter @ X1 @ X0 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl5436_016,plain,
( ( minus @ n6 @ n1 )
= n5 ),
inference('s_sup+',[status(thm)],[zip_derived_cl5405,zip_derived_cl2228]) ).
thf(zip_derived_cl5436_017,plain,
( ( minus @ n6 @ n1 )
= n5 ),
inference('s_sup+',[status(thm)],[zip_derived_cl5405,zip_derived_cl2228]) ).
thf(zip_derived_cl5518,plain,
! [X0: $i,X1: $i] :
( ~ ( leq @ X0 @ n5 )
| ~ ( leq @ n0 @ X0 )
| ~ ( leq @ n0 @ X1 )
| ~ ( leq @ X1 @ n5 )
| ( ( a_select3 @ q_ds1_filter @ X0 @ X1 )
= ( a_select3 @ q_ds1_filter @ X1 @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl119,zip_derived_cl5436,zip_derived_cl5436]) ).
thf(zip_derived_cl222,plain,
( ( ( a_select3 @ q_ds1_filter @ sk__27 @ sk__28 )
!= ( a_select3 @ q_ds1_filter @ sk__28 @ sk__27 ) )
| ( ( a_select3 @ r_ds1_filter @ sk__29 @ sk__30 )
!= ( a_select3 @ r_ds1_filter @ sk__30 @ sk__29 ) )
| ( ( a_select3 @ pminus_ds1_filter @ sk__31 @ sk__32 )
!= ( a_select3 @ pminus_ds1_filter @ sk__32 @ sk__31 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl8386,plain,
( ~ ( leq @ sk__28 @ n5 )
| ~ ( leq @ n0 @ sk__28 )
| ~ ( leq @ n0 @ sk__27 )
| ~ ( leq @ sk__27 @ n5 )
| ( ( a_select3 @ q_ds1_filter @ sk__27 @ sk__28 )
!= ( a_select3 @ q_ds1_filter @ sk__27 @ sk__28 ) )
| ( ( a_select3 @ r_ds1_filter @ sk__29 @ sk__30 )
!= ( a_select3 @ r_ds1_filter @ sk__30 @ sk__29 ) )
| ( ( a_select3 @ pminus_ds1_filter @ sk__31 @ sk__32 )
!= ( a_select3 @ pminus_ds1_filter @ sk__32 @ sk__31 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl5518,zip_derived_cl222]) ).
thf(zip_derived_cl8416,plain,
( ( ( a_select3 @ pminus_ds1_filter @ sk__31 @ sk__32 )
!= ( a_select3 @ pminus_ds1_filter @ sk__32 @ sk__31 ) )
| ( ( a_select3 @ r_ds1_filter @ sk__29 @ sk__30 )
!= ( a_select3 @ r_ds1_filter @ sk__30 @ sk__29 ) )
| ~ ( leq @ sk__27 @ n5 )
| ~ ( leq @ n0 @ sk__27 )
| ~ ( leq @ n0 @ sk__28 )
| ~ ( leq @ sk__28 @ n5 ) ),
inference(simplify,[status(thm)],[zip_derived_cl8386]) ).
thf(zip_derived_cl122,plain,
( ( leq @ sk__27 @ ( minus @ n6 @ n1 ) )
| ( ( a_select3 @ r_ds1_filter @ sk__29 @ sk__30 )
!= ( a_select3 @ r_ds1_filter @ sk__30 @ sk__29 ) )
| ( ( a_select3 @ pminus_ds1_filter @ sk__31 @ sk__32 )
!= ( a_select3 @ pminus_ds1_filter @ sk__32 @ sk__31 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl5436_018,plain,
( ( minus @ n6 @ n1 )
= n5 ),
inference('s_sup+',[status(thm)],[zip_derived_cl5405,zip_derived_cl2228]) ).
thf(zip_derived_cl5520,plain,
( ( leq @ sk__27 @ n5 )
| ( ( a_select3 @ r_ds1_filter @ sk__29 @ sk__30 )
!= ( a_select3 @ r_ds1_filter @ sk__30 @ sk__29 ) )
| ( ( a_select3 @ pminus_ds1_filter @ sk__31 @ sk__32 )
!= ( a_select3 @ pminus_ds1_filter @ sk__32 @ sk__31 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl122,zip_derived_cl5436]) ).
thf(zip_derived_cl19054,plain,
( ~ ( leq @ sk__28 @ n5 )
| ~ ( leq @ n0 @ sk__28 )
| ~ ( leq @ n0 @ sk__27 )
| ( ( a_select3 @ r_ds1_filter @ sk__29 @ sk__30 )
!= ( a_select3 @ r_ds1_filter @ sk__30 @ sk__29 ) )
| ( ( a_select3 @ pminus_ds1_filter @ sk__31 @ sk__32 )
!= ( a_select3 @ pminus_ds1_filter @ sk__32 @ sk__31 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl8416,zip_derived_cl5520]) ).
thf(zip_derived_cl197,plain,
( ( leq @ sk__28 @ ( minus @ n6 @ n1 ) )
| ( ( a_select3 @ r_ds1_filter @ sk__29 @ sk__30 )
!= ( a_select3 @ r_ds1_filter @ sk__30 @ sk__29 ) )
| ( ( a_select3 @ pminus_ds1_filter @ sk__31 @ sk__32 )
!= ( a_select3 @ pminus_ds1_filter @ sk__32 @ sk__31 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl5436_019,plain,
( ( minus @ n6 @ n1 )
= n5 ),
inference('s_sup+',[status(thm)],[zip_derived_cl5405,zip_derived_cl2228]) ).
thf(zip_derived_cl5547,plain,
( ( leq @ sk__28 @ n5 )
| ( ( a_select3 @ r_ds1_filter @ sk__29 @ sk__30 )
!= ( a_select3 @ r_ds1_filter @ sk__30 @ sk__29 ) )
| ( ( a_select3 @ pminus_ds1_filter @ sk__31 @ sk__32 )
!= ( a_select3 @ pminus_ds1_filter @ sk__32 @ sk__31 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl197,zip_derived_cl5436]) ).
thf(zip_derived_cl19055,plain,
( ( ( a_select3 @ pminus_ds1_filter @ sk__31 @ sk__32 )
!= ( a_select3 @ pminus_ds1_filter @ sk__32 @ sk__31 ) )
| ( ( a_select3 @ r_ds1_filter @ sk__29 @ sk__30 )
!= ( a_select3 @ r_ds1_filter @ sk__30 @ sk__29 ) )
| ~ ( leq @ n0 @ sk__27 )
| ~ ( leq @ n0 @ sk__28 ) ),
inference(clc,[status(thm)],[zip_derived_cl19054,zip_derived_cl5547]) ).
thf(zip_derived_cl2712_020,plain,
! [X2: $i,X3: $i] :
( ~ ( leq @ X2 @ n2 )
| ~ ( leq @ n0 @ X2 )
| ~ ( leq @ n0 @ X3 )
| ~ ( leq @ X3 @ n2 )
| ( ( a_select3 @ r_ds1_filter @ X2 @ X3 )
= ( a_select3 @ r_ds1_filter @ X3 @ X2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl120,zip_derived_cl2491,zip_derived_cl2491]) ).
thf(zip_derived_cl147,plain,
( ( leq @ n0 @ sk__27 )
| ( ( a_select3 @ r_ds1_filter @ sk__29 @ sk__30 )
!= ( a_select3 @ r_ds1_filter @ sk__30 @ sk__29 ) )
| ( ( a_select3 @ pminus_ds1_filter @ sk__31 @ sk__32 )
!= ( a_select3 @ pminus_ds1_filter @ sk__32 @ sk__31 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3509,plain,
( ~ ( leq @ sk__30 @ n2 )
| ~ ( leq @ n0 @ sk__30 )
| ~ ( leq @ n0 @ sk__29 )
| ~ ( leq @ sk__29 @ n2 )
| ( leq @ n0 @ sk__27 )
| ( ( a_select3 @ r_ds1_filter @ sk__29 @ sk__30 )
!= ( a_select3 @ r_ds1_filter @ sk__29 @ sk__30 ) )
| ( ( a_select3 @ pminus_ds1_filter @ sk__31 @ sk__32 )
!= ( a_select3 @ pminus_ds1_filter @ sk__32 @ sk__31 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2712,zip_derived_cl147]) ).
thf(zip_derived_cl3511,plain,
( ( ( a_select3 @ pminus_ds1_filter @ sk__31 @ sk__32 )
!= ( a_select3 @ pminus_ds1_filter @ sk__32 @ sk__31 ) )
| ( leq @ n0 @ sk__27 )
| ~ ( leq @ sk__29 @ n2 )
| ~ ( leq @ n0 @ sk__29 )
| ~ ( leq @ n0 @ sk__30 )
| ~ ( leq @ sk__30 @ n2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl3509]) ).
thf(zip_derived_cl167,plain,
( ( leq @ n0 @ sk__27 )
| ( leq @ sk__29 @ ( minus @ n3 @ n1 ) )
| ( ( a_select3 @ pminus_ds1_filter @ sk__31 @ sk__32 )
!= ( a_select3 @ pminus_ds1_filter @ sk__32 @ sk__31 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2491_021,plain,
( ( minus @ n3 @ n1 )
= n2 ),
inference('s_sup+',[status(thm)],[zip_derived_cl2479,zip_derived_cl98]) ).
thf(zip_derived_cl3922,plain,
( ( leq @ n0 @ sk__27 )
| ( leq @ sk__29 @ n2 )
| ( ( a_select3 @ pminus_ds1_filter @ sk__31 @ sk__32 )
!= ( a_select3 @ pminus_ds1_filter @ sk__32 @ sk__31 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl167,zip_derived_cl2491]) ).
thf(zip_derived_cl6701,plain,
( ~ ( leq @ sk__30 @ n2 )
| ~ ( leq @ n0 @ sk__30 )
| ~ ( leq @ n0 @ sk__29 )
| ( leq @ n0 @ sk__27 )
| ( ( a_select3 @ pminus_ds1_filter @ sk__31 @ sk__32 )
!= ( a_select3 @ pminus_ds1_filter @ sk__32 @ sk__31 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl3511,zip_derived_cl3922]) ).
thf(zip_derived_cl152,plain,
( ( leq @ n0 @ sk__27 )
| ( leq @ sk__30 @ ( minus @ n3 @ n1 ) )
| ( ( a_select3 @ pminus_ds1_filter @ sk__31 @ sk__32 )
!= ( a_select3 @ pminus_ds1_filter @ sk__32 @ sk__31 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2491_022,plain,
( ( minus @ n3 @ n1 )
= n2 ),
inference('s_sup+',[status(thm)],[zip_derived_cl2479,zip_derived_cl98]) ).
thf(zip_derived_cl3576,plain,
( ( leq @ n0 @ sk__27 )
| ( leq @ sk__30 @ n2 )
| ( ( a_select3 @ pminus_ds1_filter @ sk__31 @ sk__32 )
!= ( a_select3 @ pminus_ds1_filter @ sk__32 @ sk__31 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl152,zip_derived_cl2491]) ).
thf(zip_derived_cl6702,plain,
( ( ( a_select3 @ pminus_ds1_filter @ sk__31 @ sk__32 )
!= ( a_select3 @ pminus_ds1_filter @ sk__32 @ sk__31 ) )
| ( leq @ n0 @ sk__27 )
| ~ ( leq @ n0 @ sk__29 )
| ~ ( leq @ n0 @ sk__30 ) ),
inference(clc,[status(thm)],[zip_derived_cl6701,zip_derived_cl3576]) ).
thf(zip_derived_cl162,plain,
( ( leq @ n0 @ sk__27 )
| ( leq @ n0 @ sk__29 )
| ( ( a_select3 @ pminus_ds1_filter @ sk__31 @ sk__32 )
!= ( a_select3 @ pminus_ds1_filter @ sk__32 @ sk__31 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl6703,plain,
( ~ ( leq @ n0 @ sk__30 )
| ( leq @ n0 @ sk__27 )
| ( ( a_select3 @ pminus_ds1_filter @ sk__31 @ sk__32 )
!= ( a_select3 @ pminus_ds1_filter @ sk__32 @ sk__31 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl6702,zip_derived_cl162]) ).
thf(zip_derived_cl157,plain,
( ( leq @ n0 @ sk__27 )
| ( leq @ n0 @ sk__30 )
| ( ( a_select3 @ pminus_ds1_filter @ sk__31 @ sk__32 )
!= ( a_select3 @ pminus_ds1_filter @ sk__32 @ sk__31 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl6704,plain,
( ( ( a_select3 @ pminus_ds1_filter @ sk__31 @ sk__32 )
!= ( a_select3 @ pminus_ds1_filter @ sk__32 @ sk__31 ) )
| ( leq @ n0 @ sk__27 ) ),
inference(clc,[status(thm)],[zip_derived_cl6703,zip_derived_cl157]) ).
thf(zip_derived_cl19056,plain,
( ~ ( leq @ n0 @ sk__28 )
| ( ( a_select3 @ r_ds1_filter @ sk__29 @ sk__30 )
!= ( a_select3 @ r_ds1_filter @ sk__30 @ sk__29 ) )
| ( ( a_select3 @ pminus_ds1_filter @ sk__31 @ sk__32 )
!= ( a_select3 @ pminus_ds1_filter @ sk__32 @ sk__31 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl19055,zip_derived_cl6704]) ).
thf(zip_derived_cl2712_023,plain,
! [X2: $i,X3: $i] :
( ~ ( leq @ X2 @ n2 )
| ~ ( leq @ n0 @ X2 )
| ~ ( leq @ n0 @ X3 )
| ~ ( leq @ X3 @ n2 )
| ( ( a_select3 @ r_ds1_filter @ X2 @ X3 )
= ( a_select3 @ r_ds1_filter @ X3 @ X2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl120,zip_derived_cl2491,zip_derived_cl2491]) ).
thf(zip_derived_cl172,plain,
( ( leq @ n0 @ sk__28 )
| ( ( a_select3 @ r_ds1_filter @ sk__29 @ sk__30 )
!= ( a_select3 @ r_ds1_filter @ sk__30 @ sk__29 ) )
| ( ( a_select3 @ pminus_ds1_filter @ sk__31 @ sk__32 )
!= ( a_select3 @ pminus_ds1_filter @ sk__32 @ sk__31 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl4027,plain,
( ~ ( leq @ sk__30 @ n2 )
| ~ ( leq @ n0 @ sk__30 )
| ~ ( leq @ n0 @ sk__29 )
| ~ ( leq @ sk__29 @ n2 )
| ( leq @ n0 @ sk__28 )
| ( ( a_select3 @ r_ds1_filter @ sk__29 @ sk__30 )
!= ( a_select3 @ r_ds1_filter @ sk__29 @ sk__30 ) )
| ( ( a_select3 @ pminus_ds1_filter @ sk__31 @ sk__32 )
!= ( a_select3 @ pminus_ds1_filter @ sk__32 @ sk__31 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2712,zip_derived_cl172]) ).
thf(zip_derived_cl4029,plain,
( ( ( a_select3 @ pminus_ds1_filter @ sk__31 @ sk__32 )
!= ( a_select3 @ pminus_ds1_filter @ sk__32 @ sk__31 ) )
| ( leq @ n0 @ sk__28 )
| ~ ( leq @ sk__29 @ n2 )
| ~ ( leq @ n0 @ sk__29 )
| ~ ( leq @ n0 @ sk__30 )
| ~ ( leq @ sk__30 @ n2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl4027]) ).
thf(zip_derived_cl192,plain,
( ( leq @ n0 @ sk__28 )
| ( leq @ sk__29 @ ( minus @ n3 @ n1 ) )
| ( ( a_select3 @ pminus_ds1_filter @ sk__31 @ sk__32 )
!= ( a_select3 @ pminus_ds1_filter @ sk__32 @ sk__31 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2491_024,plain,
( ( minus @ n3 @ n1 )
= n2 ),
inference('s_sup+',[status(thm)],[zip_derived_cl2479,zip_derived_cl98]) ).
thf(zip_derived_cl4439,plain,
( ( leq @ n0 @ sk__28 )
| ( leq @ sk__29 @ n2 )
| ( ( a_select3 @ pminus_ds1_filter @ sk__31 @ sk__32 )
!= ( a_select3 @ pminus_ds1_filter @ sk__32 @ sk__31 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl192,zip_derived_cl2491]) ).
thf(zip_derived_cl7027,plain,
( ~ ( leq @ sk__30 @ n2 )
| ~ ( leq @ n0 @ sk__30 )
| ~ ( leq @ n0 @ sk__29 )
| ( leq @ n0 @ sk__28 )
| ( ( a_select3 @ pminus_ds1_filter @ sk__31 @ sk__32 )
!= ( a_select3 @ pminus_ds1_filter @ sk__32 @ sk__31 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl4029,zip_derived_cl4439]) ).
thf(zip_derived_cl177,plain,
( ( leq @ n0 @ sk__28 )
| ( leq @ sk__30 @ ( minus @ n3 @ n1 ) )
| ( ( a_select3 @ pminus_ds1_filter @ sk__31 @ sk__32 )
!= ( a_select3 @ pminus_ds1_filter @ sk__32 @ sk__31 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2491_025,plain,
( ( minus @ n3 @ n1 )
= n2 ),
inference('s_sup+',[status(thm)],[zip_derived_cl2479,zip_derived_cl98]) ).
thf(zip_derived_cl4065,plain,
( ( leq @ n0 @ sk__28 )
| ( leq @ sk__30 @ n2 )
| ( ( a_select3 @ pminus_ds1_filter @ sk__31 @ sk__32 )
!= ( a_select3 @ pminus_ds1_filter @ sk__32 @ sk__31 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl177,zip_derived_cl2491]) ).
thf(zip_derived_cl7028,plain,
( ( ( a_select3 @ pminus_ds1_filter @ sk__31 @ sk__32 )
!= ( a_select3 @ pminus_ds1_filter @ sk__32 @ sk__31 ) )
| ( leq @ n0 @ sk__28 )
| ~ ( leq @ n0 @ sk__29 )
| ~ ( leq @ n0 @ sk__30 ) ),
inference(clc,[status(thm)],[zip_derived_cl7027,zip_derived_cl4065]) ).
thf(zip_derived_cl187,plain,
( ( leq @ n0 @ sk__28 )
| ( leq @ n0 @ sk__29 )
| ( ( a_select3 @ pminus_ds1_filter @ sk__31 @ sk__32 )
!= ( a_select3 @ pminus_ds1_filter @ sk__32 @ sk__31 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl7029,plain,
( ~ ( leq @ n0 @ sk__30 )
| ( leq @ n0 @ sk__28 )
| ( ( a_select3 @ pminus_ds1_filter @ sk__31 @ sk__32 )
!= ( a_select3 @ pminus_ds1_filter @ sk__32 @ sk__31 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl7028,zip_derived_cl187]) ).
thf(zip_derived_cl182,plain,
( ( leq @ n0 @ sk__28 )
| ( leq @ n0 @ sk__30 )
| ( ( a_select3 @ pminus_ds1_filter @ sk__31 @ sk__32 )
!= ( a_select3 @ pminus_ds1_filter @ sk__32 @ sk__31 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl7030,plain,
( ( ( a_select3 @ pminus_ds1_filter @ sk__31 @ sk__32 )
!= ( a_select3 @ pminus_ds1_filter @ sk__32 @ sk__31 ) )
| ( leq @ n0 @ sk__28 ) ),
inference(clc,[status(thm)],[zip_derived_cl7029,zip_derived_cl182]) ).
thf(zip_derived_cl19057,plain,
( ( ( a_select3 @ pminus_ds1_filter @ sk__31 @ sk__32 )
!= ( a_select3 @ pminus_ds1_filter @ sk__32 @ sk__31 ) )
| ( ( a_select3 @ r_ds1_filter @ sk__29 @ sk__30 )
!= ( a_select3 @ r_ds1_filter @ sk__30 @ sk__29 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl19056,zip_derived_cl7030]) ).
thf(zip_derived_cl19058,plain,
( ~ ( leq @ sk__32 @ n5 )
| ~ ( leq @ n0 @ sk__32 )
| ~ ( leq @ n0 @ sk__31 )
| ~ ( leq @ sk__31 @ n5 )
| ( ( a_select3 @ pminus_ds1_filter @ sk__31 @ sk__32 )
!= ( a_select3 @ pminus_ds1_filter @ sk__31 @ sk__32 ) )
| ( ( a_select3 @ r_ds1_filter @ sk__29 @ sk__30 )
!= ( a_select3 @ r_ds1_filter @ sk__30 @ sk__29 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl5519,zip_derived_cl19057]) ).
thf(zip_derived_cl19060,plain,
( ( ( a_select3 @ r_ds1_filter @ sk__29 @ sk__30 )
!= ( a_select3 @ r_ds1_filter @ sk__30 @ sk__29 ) )
| ~ ( leq @ sk__31 @ n5 )
| ~ ( leq @ n0 @ sk__31 )
| ~ ( leq @ n0 @ sk__32 )
| ~ ( leq @ sk__32 @ n5 ) ),
inference(simplify,[status(thm)],[zip_derived_cl19058]) ).
thf(zip_derived_cl5518_026,plain,
! [X0: $i,X1: $i] :
( ~ ( leq @ X0 @ n5 )
| ~ ( leq @ n0 @ X0 )
| ~ ( leq @ n0 @ X1 )
| ~ ( leq @ X1 @ n5 )
| ( ( a_select3 @ q_ds1_filter @ X0 @ X1 )
= ( a_select3 @ q_ds1_filter @ X1 @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl119,zip_derived_cl5436,zip_derived_cl5436]) ).
thf(zip_derived_cl225,plain,
( ( ( a_select3 @ q_ds1_filter @ sk__27 @ sk__28 )
!= ( a_select3 @ q_ds1_filter @ sk__28 @ sk__27 ) )
| ( ( a_select3 @ r_ds1_filter @ sk__29 @ sk__30 )
!= ( a_select3 @ r_ds1_filter @ sk__30 @ sk__29 ) )
| ( leq @ n0 @ sk__31 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl8388,plain,
( ~ ( leq @ sk__28 @ n5 )
| ~ ( leq @ n0 @ sk__28 )
| ~ ( leq @ n0 @ sk__27 )
| ~ ( leq @ sk__27 @ n5 )
| ( ( a_select3 @ q_ds1_filter @ sk__27 @ sk__28 )
!= ( a_select3 @ q_ds1_filter @ sk__27 @ sk__28 ) )
| ( ( a_select3 @ r_ds1_filter @ sk__29 @ sk__30 )
!= ( a_select3 @ r_ds1_filter @ sk__30 @ sk__29 ) )
| ( leq @ n0 @ sk__31 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl5518,zip_derived_cl225]) ).
thf(zip_derived_cl8418,plain,
( ( leq @ n0 @ sk__31 )
| ( ( a_select3 @ r_ds1_filter @ sk__29 @ sk__30 )
!= ( a_select3 @ r_ds1_filter @ sk__30 @ sk__29 ) )
| ~ ( leq @ sk__27 @ n5 )
| ~ ( leq @ n0 @ sk__27 )
| ~ ( leq @ n0 @ sk__28 )
| ~ ( leq @ sk__28 @ n5 ) ),
inference(simplify,[status(thm)],[zip_derived_cl8388]) ).
thf(zip_derived_cl125,plain,
( ( leq @ sk__27 @ ( minus @ n6 @ n1 ) )
| ( ( a_select3 @ r_ds1_filter @ sk__29 @ sk__30 )
!= ( a_select3 @ r_ds1_filter @ sk__30 @ sk__29 ) )
| ( leq @ n0 @ sk__31 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl5436_027,plain,
( ( minus @ n6 @ n1 )
= n5 ),
inference('s_sup+',[status(thm)],[zip_derived_cl5405,zip_derived_cl2228]) ).
thf(zip_derived_cl5523,plain,
( ( leq @ sk__27 @ n5 )
| ( ( a_select3 @ r_ds1_filter @ sk__29 @ sk__30 )
!= ( a_select3 @ r_ds1_filter @ sk__30 @ sk__29 ) )
| ( leq @ n0 @ sk__31 ) ),
inference(demod,[status(thm)],[zip_derived_cl125,zip_derived_cl5436]) ).
thf(zip_derived_cl9763,plain,
( ~ ( leq @ sk__28 @ n5 )
| ~ ( leq @ n0 @ sk__28 )
| ~ ( leq @ n0 @ sk__27 )
| ( ( a_select3 @ r_ds1_filter @ sk__29 @ sk__30 )
!= ( a_select3 @ r_ds1_filter @ sk__30 @ sk__29 ) )
| ( leq @ n0 @ sk__31 ) ),
inference(clc,[status(thm)],[zip_derived_cl8418,zip_derived_cl5523]) ).
thf(zip_derived_cl200,plain,
( ( leq @ sk__28 @ ( minus @ n6 @ n1 ) )
| ( ( a_select3 @ r_ds1_filter @ sk__29 @ sk__30 )
!= ( a_select3 @ r_ds1_filter @ sk__30 @ sk__29 ) )
| ( leq @ n0 @ sk__31 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl5436_028,plain,
( ( minus @ n6 @ n1 )
= n5 ),
inference('s_sup+',[status(thm)],[zip_derived_cl5405,zip_derived_cl2228]) ).
thf(zip_derived_cl5550,plain,
( ( leq @ sk__28 @ n5 )
| ( ( a_select3 @ r_ds1_filter @ sk__29 @ sk__30 )
!= ( a_select3 @ r_ds1_filter @ sk__30 @ sk__29 ) )
| ( leq @ n0 @ sk__31 ) ),
inference(demod,[status(thm)],[zip_derived_cl200,zip_derived_cl5436]) ).
thf(zip_derived_cl9764,plain,
( ( leq @ n0 @ sk__31 )
| ( ( a_select3 @ r_ds1_filter @ sk__29 @ sk__30 )
!= ( a_select3 @ r_ds1_filter @ sk__30 @ sk__29 ) )
| ~ ( leq @ n0 @ sk__27 )
| ~ ( leq @ n0 @ sk__28 ) ),
inference(clc,[status(thm)],[zip_derived_cl9763,zip_derived_cl5550]) ).
thf(zip_derived_cl2712_029,plain,
! [X2: $i,X3: $i] :
( ~ ( leq @ X2 @ n2 )
| ~ ( leq @ n0 @ X2 )
| ~ ( leq @ n0 @ X3 )
| ~ ( leq @ X3 @ n2 )
| ( ( a_select3 @ r_ds1_filter @ X2 @ X3 )
= ( a_select3 @ r_ds1_filter @ X3 @ X2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl120,zip_derived_cl2491,zip_derived_cl2491]) ).
thf(zip_derived_cl150,plain,
( ( leq @ n0 @ sk__27 )
| ( ( a_select3 @ r_ds1_filter @ sk__29 @ sk__30 )
!= ( a_select3 @ r_ds1_filter @ sk__30 @ sk__29 ) )
| ( leq @ n0 @ sk__31 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3543,plain,
( ~ ( leq @ sk__30 @ n2 )
| ~ ( leq @ n0 @ sk__30 )
| ~ ( leq @ n0 @ sk__29 )
| ~ ( leq @ sk__29 @ n2 )
| ( leq @ n0 @ sk__27 )
| ( ( a_select3 @ r_ds1_filter @ sk__29 @ sk__30 )
!= ( a_select3 @ r_ds1_filter @ sk__29 @ sk__30 ) )
| ( leq @ n0 @ sk__31 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2712,zip_derived_cl150]) ).
thf(zip_derived_cl3545,plain,
( ( leq @ n0 @ sk__31 )
| ( leq @ n0 @ sk__27 )
| ~ ( leq @ sk__29 @ n2 )
| ~ ( leq @ n0 @ sk__29 )
| ~ ( leq @ n0 @ sk__30 )
| ~ ( leq @ sk__30 @ n2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl3543]) ).
thf(zip_derived_cl170,plain,
( ( leq @ n0 @ sk__27 )
| ( leq @ sk__29 @ ( minus @ n3 @ n1 ) )
| ( leq @ n0 @ sk__31 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2491_030,plain,
( ( minus @ n3 @ n1 )
= n2 ),
inference('s_sup+',[status(thm)],[zip_derived_cl2479,zip_derived_cl98]) ).
thf(zip_derived_cl3987,plain,
( ( leq @ n0 @ sk__27 )
| ( leq @ sk__29 @ n2 )
| ( leq @ n0 @ sk__31 ) ),
inference(demod,[status(thm)],[zip_derived_cl170,zip_derived_cl2491]) ).
thf(zip_derived_cl6918,plain,
( ~ ( leq @ sk__30 @ n2 )
| ~ ( leq @ n0 @ sk__30 )
| ~ ( leq @ n0 @ sk__29 )
| ( leq @ n0 @ sk__27 )
| ( leq @ n0 @ sk__31 ) ),
inference(clc,[status(thm)],[zip_derived_cl3545,zip_derived_cl3987]) ).
thf(zip_derived_cl155,plain,
( ( leq @ n0 @ sk__27 )
| ( leq @ sk__30 @ ( minus @ n3 @ n1 ) )
| ( leq @ n0 @ sk__31 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2491_031,plain,
( ( minus @ n3 @ n1 )
= n2 ),
inference('s_sup+',[status(thm)],[zip_derived_cl2479,zip_derived_cl98]) ).
thf(zip_derived_cl3602,plain,
( ( leq @ n0 @ sk__27 )
| ( leq @ sk__30 @ n2 )
| ( leq @ n0 @ sk__31 ) ),
inference(demod,[status(thm)],[zip_derived_cl155,zip_derived_cl2491]) ).
thf(zip_derived_cl6919,plain,
( ( leq @ n0 @ sk__31 )
| ( leq @ n0 @ sk__27 )
| ~ ( leq @ n0 @ sk__29 )
| ~ ( leq @ n0 @ sk__30 ) ),
inference(clc,[status(thm)],[zip_derived_cl6918,zip_derived_cl3602]) ).
thf(zip_derived_cl165,plain,
( ( leq @ n0 @ sk__27 )
| ( leq @ n0 @ sk__29 )
| ( leq @ n0 @ sk__31 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl6920,plain,
( ~ ( leq @ n0 @ sk__30 )
| ( leq @ n0 @ sk__27 )
| ( leq @ n0 @ sk__31 ) ),
inference(clc,[status(thm)],[zip_derived_cl6919,zip_derived_cl165]) ).
thf(zip_derived_cl160,plain,
( ( leq @ n0 @ sk__27 )
| ( leq @ n0 @ sk__30 )
| ( leq @ n0 @ sk__31 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl6921,plain,
( ( leq @ n0 @ sk__31 )
| ( leq @ n0 @ sk__27 ) ),
inference(clc,[status(thm)],[zip_derived_cl6920,zip_derived_cl160]) ).
thf(zip_derived_cl9765,plain,
( ~ ( leq @ n0 @ sk__28 )
| ( ( a_select3 @ r_ds1_filter @ sk__29 @ sk__30 )
!= ( a_select3 @ r_ds1_filter @ sk__30 @ sk__29 ) )
| ( leq @ n0 @ sk__31 ) ),
inference(clc,[status(thm)],[zip_derived_cl9764,zip_derived_cl6921]) ).
thf(zip_derived_cl2712_032,plain,
! [X2: $i,X3: $i] :
( ~ ( leq @ X2 @ n2 )
| ~ ( leq @ n0 @ X2 )
| ~ ( leq @ n0 @ X3 )
| ~ ( leq @ X3 @ n2 )
| ( ( a_select3 @ r_ds1_filter @ X2 @ X3 )
= ( a_select3 @ r_ds1_filter @ X3 @ X2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl120,zip_derived_cl2491,zip_derived_cl2491]) ).
thf(zip_derived_cl175,plain,
( ( leq @ n0 @ sk__28 )
| ( ( a_select3 @ r_ds1_filter @ sk__29 @ sk__30 )
!= ( a_select3 @ r_ds1_filter @ sk__30 @ sk__29 ) )
| ( leq @ n0 @ sk__31 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl4047,plain,
( ~ ( leq @ sk__30 @ n2 )
| ~ ( leq @ n0 @ sk__30 )
| ~ ( leq @ n0 @ sk__29 )
| ~ ( leq @ sk__29 @ n2 )
| ( leq @ n0 @ sk__28 )
| ( ( a_select3 @ r_ds1_filter @ sk__29 @ sk__30 )
!= ( a_select3 @ r_ds1_filter @ sk__29 @ sk__30 ) )
| ( leq @ n0 @ sk__31 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2712,zip_derived_cl175]) ).
thf(zip_derived_cl4049,plain,
( ( leq @ n0 @ sk__31 )
| ( leq @ n0 @ sk__28 )
| ~ ( leq @ sk__29 @ n2 )
| ~ ( leq @ n0 @ sk__29 )
| ~ ( leq @ n0 @ sk__30 )
| ~ ( leq @ sk__30 @ n2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl4047]) ).
thf(zip_derived_cl195,plain,
( ( leq @ n0 @ sk__28 )
| ( leq @ sk__29 @ ( minus @ n3 @ n1 ) )
| ( leq @ n0 @ sk__31 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2491_033,plain,
( ( minus @ n3 @ n1 )
= n2 ),
inference('s_sup+',[status(thm)],[zip_derived_cl2479,zip_derived_cl98]) ).
thf(zip_derived_cl4524,plain,
( ( leq @ n0 @ sk__28 )
| ( leq @ sk__29 @ n2 )
| ( leq @ n0 @ sk__31 ) ),
inference(demod,[status(thm)],[zip_derived_cl195,zip_derived_cl2491]) ).
thf(zip_derived_cl7134,plain,
( ~ ( leq @ sk__30 @ n2 )
| ~ ( leq @ n0 @ sk__30 )
| ~ ( leq @ n0 @ sk__29 )
| ( leq @ n0 @ sk__28 )
| ( leq @ n0 @ sk__31 ) ),
inference(clc,[status(thm)],[zip_derived_cl4049,zip_derived_cl4524]) ).
thf(zip_derived_cl180,plain,
( ( leq @ n0 @ sk__28 )
| ( leq @ sk__30 @ ( minus @ n3 @ n1 ) )
| ( leq @ n0 @ sk__31 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2491_034,plain,
( ( minus @ n3 @ n1 )
= n2 ),
inference('s_sup+',[status(thm)],[zip_derived_cl2479,zip_derived_cl98]) ).
thf(zip_derived_cl4141,plain,
( ( leq @ n0 @ sk__28 )
| ( leq @ sk__30 @ n2 )
| ( leq @ n0 @ sk__31 ) ),
inference(demod,[status(thm)],[zip_derived_cl180,zip_derived_cl2491]) ).
thf(zip_derived_cl7135,plain,
( ( leq @ n0 @ sk__31 )
| ( leq @ n0 @ sk__28 )
| ~ ( leq @ n0 @ sk__29 )
| ~ ( leq @ n0 @ sk__30 ) ),
inference(clc,[status(thm)],[zip_derived_cl7134,zip_derived_cl4141]) ).
thf(zip_derived_cl190,plain,
( ( leq @ n0 @ sk__28 )
| ( leq @ n0 @ sk__29 )
| ( leq @ n0 @ sk__31 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl7136,plain,
( ~ ( leq @ n0 @ sk__30 )
| ( leq @ n0 @ sk__28 )
| ( leq @ n0 @ sk__31 ) ),
inference(clc,[status(thm)],[zip_derived_cl7135,zip_derived_cl190]) ).
thf(zip_derived_cl185,plain,
( ( leq @ n0 @ sk__28 )
| ( leq @ n0 @ sk__30 )
| ( leq @ n0 @ sk__31 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl7137,plain,
( ( leq @ n0 @ sk__31 )
| ( leq @ n0 @ sk__28 ) ),
inference(clc,[status(thm)],[zip_derived_cl7136,zip_derived_cl185]) ).
thf(zip_derived_cl9766,plain,
( ( leq @ n0 @ sk__31 )
| ( ( a_select3 @ r_ds1_filter @ sk__29 @ sk__30 )
!= ( a_select3 @ r_ds1_filter @ sk__30 @ sk__29 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl9765,zip_derived_cl7137]) ).
thf(zip_derived_cl19229,plain,
( ~ ( leq @ sk__32 @ n5 )
| ~ ( leq @ n0 @ sk__32 )
| ~ ( leq @ sk__31 @ n5 )
| ( ( a_select3 @ r_ds1_filter @ sk__29 @ sk__30 )
!= ( a_select3 @ r_ds1_filter @ sk__30 @ sk__29 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl19060,zip_derived_cl9766]) ).
thf(zip_derived_cl5518_035,plain,
! [X0: $i,X1: $i] :
( ~ ( leq @ X0 @ n5 )
| ~ ( leq @ n0 @ X0 )
| ~ ( leq @ n0 @ X1 )
| ~ ( leq @ X1 @ n5 )
| ( ( a_select3 @ q_ds1_filter @ X0 @ X1 )
= ( a_select3 @ q_ds1_filter @ X1 @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl119,zip_derived_cl5436,zip_derived_cl5436]) ).
thf(zip_derived_cl224,plain,
( ( ( a_select3 @ q_ds1_filter @ sk__27 @ sk__28 )
!= ( a_select3 @ q_ds1_filter @ sk__28 @ sk__27 ) )
| ( ( a_select3 @ r_ds1_filter @ sk__29 @ sk__30 )
!= ( a_select3 @ r_ds1_filter @ sk__30 @ sk__29 ) )
| ( leq @ n0 @ sk__32 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl8387,plain,
( ~ ( leq @ sk__28 @ n5 )
| ~ ( leq @ n0 @ sk__28 )
| ~ ( leq @ n0 @ sk__27 )
| ~ ( leq @ sk__27 @ n5 )
| ( ( a_select3 @ q_ds1_filter @ sk__27 @ sk__28 )
!= ( a_select3 @ q_ds1_filter @ sk__27 @ sk__28 ) )
| ( ( a_select3 @ r_ds1_filter @ sk__29 @ sk__30 )
!= ( a_select3 @ r_ds1_filter @ sk__30 @ sk__29 ) )
| ( leq @ n0 @ sk__32 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl5518,zip_derived_cl224]) ).
thf(zip_derived_cl8417,plain,
( ( leq @ n0 @ sk__32 )
| ( ( a_select3 @ r_ds1_filter @ sk__29 @ sk__30 )
!= ( a_select3 @ r_ds1_filter @ sk__30 @ sk__29 ) )
| ~ ( leq @ sk__27 @ n5 )
| ~ ( leq @ n0 @ sk__27 )
| ~ ( leq @ n0 @ sk__28 )
| ~ ( leq @ sk__28 @ n5 ) ),
inference(simplify,[status(thm)],[zip_derived_cl8387]) ).
thf(zip_derived_cl124,plain,
( ( leq @ sk__27 @ ( minus @ n6 @ n1 ) )
| ( ( a_select3 @ r_ds1_filter @ sk__29 @ sk__30 )
!= ( a_select3 @ r_ds1_filter @ sk__30 @ sk__29 ) )
| ( leq @ n0 @ sk__32 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl5436_036,plain,
( ( minus @ n6 @ n1 )
= n5 ),
inference('s_sup+',[status(thm)],[zip_derived_cl5405,zip_derived_cl2228]) ).
thf(zip_derived_cl5522,plain,
( ( leq @ sk__27 @ n5 )
| ( ( a_select3 @ r_ds1_filter @ sk__29 @ sk__30 )
!= ( a_select3 @ r_ds1_filter @ sk__30 @ sk__29 ) )
| ( leq @ n0 @ sk__32 ) ),
inference(demod,[status(thm)],[zip_derived_cl124,zip_derived_cl5436]) ).
thf(zip_derived_cl9482,plain,
( ~ ( leq @ sk__28 @ n5 )
| ~ ( leq @ n0 @ sk__28 )
| ~ ( leq @ n0 @ sk__27 )
| ( ( a_select3 @ r_ds1_filter @ sk__29 @ sk__30 )
!= ( a_select3 @ r_ds1_filter @ sk__30 @ sk__29 ) )
| ( leq @ n0 @ sk__32 ) ),
inference(clc,[status(thm)],[zip_derived_cl8417,zip_derived_cl5522]) ).
thf(zip_derived_cl199,plain,
( ( leq @ sk__28 @ ( minus @ n6 @ n1 ) )
| ( ( a_select3 @ r_ds1_filter @ sk__29 @ sk__30 )
!= ( a_select3 @ r_ds1_filter @ sk__30 @ sk__29 ) )
| ( leq @ n0 @ sk__32 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl5436_037,plain,
( ( minus @ n6 @ n1 )
= n5 ),
inference('s_sup+',[status(thm)],[zip_derived_cl5405,zip_derived_cl2228]) ).
thf(zip_derived_cl5549,plain,
( ( leq @ sk__28 @ n5 )
| ( ( a_select3 @ r_ds1_filter @ sk__29 @ sk__30 )
!= ( a_select3 @ r_ds1_filter @ sk__30 @ sk__29 ) )
| ( leq @ n0 @ sk__32 ) ),
inference(demod,[status(thm)],[zip_derived_cl199,zip_derived_cl5436]) ).
thf(zip_derived_cl9483,plain,
( ( leq @ n0 @ sk__32 )
| ( ( a_select3 @ r_ds1_filter @ sk__29 @ sk__30 )
!= ( a_select3 @ r_ds1_filter @ sk__30 @ sk__29 ) )
| ~ ( leq @ n0 @ sk__27 )
| ~ ( leq @ n0 @ sk__28 ) ),
inference(clc,[status(thm)],[zip_derived_cl9482,zip_derived_cl5549]) ).
thf(zip_derived_cl2712_038,plain,
! [X2: $i,X3: $i] :
( ~ ( leq @ X2 @ n2 )
| ~ ( leq @ n0 @ X2 )
| ~ ( leq @ n0 @ X3 )
| ~ ( leq @ X3 @ n2 )
| ( ( a_select3 @ r_ds1_filter @ X2 @ X3 )
= ( a_select3 @ r_ds1_filter @ X3 @ X2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl120,zip_derived_cl2491,zip_derived_cl2491]) ).
thf(zip_derived_cl149,plain,
( ( leq @ n0 @ sk__27 )
| ( ( a_select3 @ r_ds1_filter @ sk__29 @ sk__30 )
!= ( a_select3 @ r_ds1_filter @ sk__30 @ sk__29 ) )
| ( leq @ n0 @ sk__32 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3539,plain,
( ~ ( leq @ sk__30 @ n2 )
| ~ ( leq @ n0 @ sk__30 )
| ~ ( leq @ n0 @ sk__29 )
| ~ ( leq @ sk__29 @ n2 )
| ( leq @ n0 @ sk__27 )
| ( ( a_select3 @ r_ds1_filter @ sk__29 @ sk__30 )
!= ( a_select3 @ r_ds1_filter @ sk__29 @ sk__30 ) )
| ( leq @ n0 @ sk__32 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2712,zip_derived_cl149]) ).
thf(zip_derived_cl3541,plain,
( ( leq @ n0 @ sk__32 )
| ( leq @ n0 @ sk__27 )
| ~ ( leq @ sk__29 @ n2 )
| ~ ( leq @ n0 @ sk__29 )
| ~ ( leq @ n0 @ sk__30 )
| ~ ( leq @ sk__30 @ n2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl3539]) ).
thf(zip_derived_cl169,plain,
( ( leq @ n0 @ sk__27 )
| ( leq @ sk__29 @ ( minus @ n3 @ n1 ) )
| ( leq @ n0 @ sk__32 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2491_039,plain,
( ( minus @ n3 @ n1 )
= n2 ),
inference('s_sup+',[status(thm)],[zip_derived_cl2479,zip_derived_cl98]) ).
thf(zip_derived_cl3973,plain,
( ( leq @ n0 @ sk__27 )
| ( leq @ sk__29 @ n2 )
| ( leq @ n0 @ sk__32 ) ),
inference(demod,[status(thm)],[zip_derived_cl169,zip_derived_cl2491]) ).
thf(zip_derived_cl6839,plain,
( ~ ( leq @ sk__30 @ n2 )
| ~ ( leq @ n0 @ sk__30 )
| ~ ( leq @ n0 @ sk__29 )
| ( leq @ n0 @ sk__27 )
| ( leq @ n0 @ sk__32 ) ),
inference(clc,[status(thm)],[zip_derived_cl3541,zip_derived_cl3973]) ).
thf(zip_derived_cl154,plain,
( ( leq @ n0 @ sk__27 )
| ( leq @ sk__30 @ ( minus @ n3 @ n1 ) )
| ( leq @ n0 @ sk__32 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2491_040,plain,
( ( minus @ n3 @ n1 )
= n2 ),
inference('s_sup+',[status(thm)],[zip_derived_cl2479,zip_derived_cl98]) ).
thf(zip_derived_cl3600,plain,
( ( leq @ n0 @ sk__27 )
| ( leq @ sk__30 @ n2 )
| ( leq @ n0 @ sk__32 ) ),
inference(demod,[status(thm)],[zip_derived_cl154,zip_derived_cl2491]) ).
thf(zip_derived_cl6840,plain,
( ( leq @ n0 @ sk__32 )
| ( leq @ n0 @ sk__27 )
| ~ ( leq @ n0 @ sk__29 )
| ~ ( leq @ n0 @ sk__30 ) ),
inference(clc,[status(thm)],[zip_derived_cl6839,zip_derived_cl3600]) ).
thf(zip_derived_cl164,plain,
( ( leq @ n0 @ sk__27 )
| ( leq @ n0 @ sk__29 )
| ( leq @ n0 @ sk__32 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl6841,plain,
( ~ ( leq @ n0 @ sk__30 )
| ( leq @ n0 @ sk__27 )
| ( leq @ n0 @ sk__32 ) ),
inference(clc,[status(thm)],[zip_derived_cl6840,zip_derived_cl164]) ).
thf(zip_derived_cl159,plain,
( ( leq @ n0 @ sk__27 )
| ( leq @ n0 @ sk__30 )
| ( leq @ n0 @ sk__32 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl6842,plain,
( ( leq @ n0 @ sk__32 )
| ( leq @ n0 @ sk__27 ) ),
inference(clc,[status(thm)],[zip_derived_cl6841,zip_derived_cl159]) ).
thf(zip_derived_cl9484,plain,
( ~ ( leq @ n0 @ sk__28 )
| ( ( a_select3 @ r_ds1_filter @ sk__29 @ sk__30 )
!= ( a_select3 @ r_ds1_filter @ sk__30 @ sk__29 ) )
| ( leq @ n0 @ sk__32 ) ),
inference(clc,[status(thm)],[zip_derived_cl9483,zip_derived_cl6842]) ).
thf(zip_derived_cl2712_041,plain,
! [X2: $i,X3: $i] :
( ~ ( leq @ X2 @ n2 )
| ~ ( leq @ n0 @ X2 )
| ~ ( leq @ n0 @ X3 )
| ~ ( leq @ X3 @ n2 )
| ( ( a_select3 @ r_ds1_filter @ X2 @ X3 )
= ( a_select3 @ r_ds1_filter @ X3 @ X2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl120,zip_derived_cl2491,zip_derived_cl2491]) ).
thf(zip_derived_cl174,plain,
( ( leq @ n0 @ sk__28 )
| ( ( a_select3 @ r_ds1_filter @ sk__29 @ sk__30 )
!= ( a_select3 @ r_ds1_filter @ sk__30 @ sk__29 ) )
| ( leq @ n0 @ sk__32 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl4043,plain,
( ~ ( leq @ sk__30 @ n2 )
| ~ ( leq @ n0 @ sk__30 )
| ~ ( leq @ n0 @ sk__29 )
| ~ ( leq @ sk__29 @ n2 )
| ( leq @ n0 @ sk__28 )
| ( ( a_select3 @ r_ds1_filter @ sk__29 @ sk__30 )
!= ( a_select3 @ r_ds1_filter @ sk__29 @ sk__30 ) )
| ( leq @ n0 @ sk__32 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2712,zip_derived_cl174]) ).
thf(zip_derived_cl4045,plain,
( ( leq @ n0 @ sk__32 )
| ( leq @ n0 @ sk__28 )
| ~ ( leq @ sk__29 @ n2 )
| ~ ( leq @ n0 @ sk__29 )
| ~ ( leq @ n0 @ sk__30 )
| ~ ( leq @ sk__30 @ n2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl4043]) ).
thf(zip_derived_cl194,plain,
( ( leq @ n0 @ sk__28 )
| ( leq @ sk__29 @ ( minus @ n3 @ n1 ) )
| ( leq @ n0 @ sk__32 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2491_042,plain,
( ( minus @ n3 @ n1 )
= n2 ),
inference('s_sup+',[status(thm)],[zip_derived_cl2479,zip_derived_cl98]) ).
thf(zip_derived_cl4521,plain,
( ( leq @ n0 @ sk__28 )
| ( leq @ sk__29 @ n2 )
| ( leq @ n0 @ sk__32 ) ),
inference(demod,[status(thm)],[zip_derived_cl194,zip_derived_cl2491]) ).
thf(zip_derived_cl7071,plain,
( ~ ( leq @ sk__30 @ n2 )
| ~ ( leq @ n0 @ sk__30 )
| ~ ( leq @ n0 @ sk__29 )
| ( leq @ n0 @ sk__28 )
| ( leq @ n0 @ sk__32 ) ),
inference(clc,[status(thm)],[zip_derived_cl4045,zip_derived_cl4521]) ).
thf(zip_derived_cl179,plain,
( ( leq @ n0 @ sk__28 )
| ( leq @ sk__30 @ ( minus @ n3 @ n1 ) )
| ( leq @ n0 @ sk__32 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2491_043,plain,
( ( minus @ n3 @ n1 )
= n2 ),
inference('s_sup+',[status(thm)],[zip_derived_cl2479,zip_derived_cl98]) ).
thf(zip_derived_cl4124,plain,
( ( leq @ n0 @ sk__28 )
| ( leq @ sk__30 @ n2 )
| ( leq @ n0 @ sk__32 ) ),
inference(demod,[status(thm)],[zip_derived_cl179,zip_derived_cl2491]) ).
thf(zip_derived_cl7072,plain,
( ( leq @ n0 @ sk__32 )
| ( leq @ n0 @ sk__28 )
| ~ ( leq @ n0 @ sk__29 )
| ~ ( leq @ n0 @ sk__30 ) ),
inference(clc,[status(thm)],[zip_derived_cl7071,zip_derived_cl4124]) ).
thf(zip_derived_cl189,plain,
( ( leq @ n0 @ sk__28 )
| ( leq @ n0 @ sk__29 )
| ( leq @ n0 @ sk__32 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl7073,plain,
( ~ ( leq @ n0 @ sk__30 )
| ( leq @ n0 @ sk__28 )
| ( leq @ n0 @ sk__32 ) ),
inference(clc,[status(thm)],[zip_derived_cl7072,zip_derived_cl189]) ).
thf(zip_derived_cl184,plain,
( ( leq @ n0 @ sk__28 )
| ( leq @ n0 @ sk__30 )
| ( leq @ n0 @ sk__32 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl7074,plain,
( ( leq @ n0 @ sk__32 )
| ( leq @ n0 @ sk__28 ) ),
inference(clc,[status(thm)],[zip_derived_cl7073,zip_derived_cl184]) ).
thf(zip_derived_cl9485,plain,
( ( leq @ n0 @ sk__32 )
| ( ( a_select3 @ r_ds1_filter @ sk__29 @ sk__30 )
!= ( a_select3 @ r_ds1_filter @ sk__30 @ sk__29 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl9484,zip_derived_cl7074]) ).
thf(zip_derived_cl19230,plain,
( ( ( a_select3 @ r_ds1_filter @ sk__29 @ sk__30 )
!= ( a_select3 @ r_ds1_filter @ sk__30 @ sk__29 ) )
| ~ ( leq @ sk__31 @ n5 )
| ~ ( leq @ sk__32 @ n5 ) ),
inference(clc,[status(thm)],[zip_derived_cl19229,zip_derived_cl9485]) ).
thf(zip_derived_cl2712_044,plain,
! [X2: $i,X3: $i] :
( ~ ( leq @ X2 @ n2 )
| ~ ( leq @ n0 @ X2 )
| ~ ( leq @ n0 @ X3 )
| ~ ( leq @ X3 @ n2 )
| ( ( a_select3 @ r_ds1_filter @ X2 @ X3 )
= ( a_select3 @ r_ds1_filter @ X3 @ X2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl120,zip_derived_cl2491,zip_derived_cl2491]) ).
thf(zip_derived_cl5518_045,plain,
! [X0: $i,X1: $i] :
( ~ ( leq @ X0 @ n5 )
| ~ ( leq @ n0 @ X0 )
| ~ ( leq @ n0 @ X1 )
| ~ ( leq @ X1 @ n5 )
| ( ( a_select3 @ q_ds1_filter @ X0 @ X1 )
= ( a_select3 @ q_ds1_filter @ X1 @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl119,zip_derived_cl5436,zip_derived_cl5436]) ).
thf(zip_derived_cl223,plain,
( ( ( a_select3 @ q_ds1_filter @ sk__27 @ sk__28 )
!= ( a_select3 @ q_ds1_filter @ sk__28 @ sk__27 ) )
| ( ( a_select3 @ r_ds1_filter @ sk__29 @ sk__30 )
!= ( a_select3 @ r_ds1_filter @ sk__30 @ sk__29 ) )
| ( leq @ sk__32 @ ( minus @ n6 @ n1 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl5436_046,plain,
( ( minus @ n6 @ n1 )
= n5 ),
inference('s_sup+',[status(thm)],[zip_derived_cl5405,zip_derived_cl2228]) ).
thf(zip_derived_cl5562,plain,
( ( ( a_select3 @ q_ds1_filter @ sk__27 @ sk__28 )
!= ( a_select3 @ q_ds1_filter @ sk__28 @ sk__27 ) )
| ( ( a_select3 @ r_ds1_filter @ sk__29 @ sk__30 )
!= ( a_select3 @ r_ds1_filter @ sk__30 @ sk__29 ) )
| ( leq @ sk__32 @ n5 ) ),
inference(demod,[status(thm)],[zip_derived_cl223,zip_derived_cl5436]) ).
thf(zip_derived_cl9078,plain,
( ~ ( leq @ sk__28 @ n5 )
| ~ ( leq @ n0 @ sk__28 )
| ~ ( leq @ n0 @ sk__27 )
| ~ ( leq @ sk__27 @ n5 )
| ( ( a_select3 @ q_ds1_filter @ sk__27 @ sk__28 )
!= ( a_select3 @ q_ds1_filter @ sk__27 @ sk__28 ) )
| ( ( a_select3 @ r_ds1_filter @ sk__29 @ sk__30 )
!= ( a_select3 @ r_ds1_filter @ sk__30 @ sk__29 ) )
| ( leq @ sk__32 @ n5 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl5518,zip_derived_cl5562]) ).
thf(zip_derived_cl9080,plain,
( ( leq @ sk__32 @ n5 )
| ( ( a_select3 @ r_ds1_filter @ sk__29 @ sk__30 )
!= ( a_select3 @ r_ds1_filter @ sk__30 @ sk__29 ) )
| ~ ( leq @ sk__27 @ n5 )
| ~ ( leq @ n0 @ sk__27 )
| ~ ( leq @ n0 @ sk__28 )
| ~ ( leq @ sk__28 @ n5 ) ),
inference(simplify,[status(thm)],[zip_derived_cl9078]) ).
thf(zip_derived_cl2712_047,plain,
! [X2: $i,X3: $i] :
( ~ ( leq @ X2 @ n2 )
| ~ ( leq @ n0 @ X2 )
| ~ ( leq @ n0 @ X3 )
| ~ ( leq @ X3 @ n2 )
| ( ( a_select3 @ r_ds1_filter @ X2 @ X3 )
= ( a_select3 @ r_ds1_filter @ X3 @ X2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl120,zip_derived_cl2491,zip_derived_cl2491]) ).
thf(zip_derived_cl151,plain,
( ( leq @ n0 @ sk__27 )
| ( ( a_select3 @ r_ds1_filter @ sk__29 @ sk__30 )
!= ( a_select3 @ r_ds1_filter @ sk__30 @ sk__29 ) )
| ( leq @ sk__31 @ ( minus @ n6 @ n1 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl5436_048,plain,
( ( minus @ n6 @ n1 )
= n5 ),
inference('s_sup+',[status(thm)],[zip_derived_cl5405,zip_derived_cl2228]) ).
thf(zip_derived_cl5536,plain,
( ( leq @ n0 @ sk__27 )
| ( ( a_select3 @ r_ds1_filter @ sk__29 @ sk__30 )
!= ( a_select3 @ r_ds1_filter @ sk__30 @ sk__29 ) )
| ( leq @ sk__31 @ n5 ) ),
inference(demod,[status(thm)],[zip_derived_cl151,zip_derived_cl5436]) ).
thf(zip_derived_cl8691,plain,
( ~ ( leq @ sk__30 @ n2 )
| ~ ( leq @ n0 @ sk__30 )
| ~ ( leq @ n0 @ sk__29 )
| ~ ( leq @ sk__29 @ n2 )
| ( leq @ n0 @ sk__27 )
| ( ( a_select3 @ r_ds1_filter @ sk__29 @ sk__30 )
!= ( a_select3 @ r_ds1_filter @ sk__29 @ sk__30 ) )
| ( leq @ sk__31 @ n5 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2712,zip_derived_cl5536]) ).
thf(zip_derived_cl8693,plain,
( ( leq @ sk__31 @ n5 )
| ( leq @ n0 @ sk__27 )
| ~ ( leq @ sk__29 @ n2 )
| ~ ( leq @ n0 @ sk__29 )
| ~ ( leq @ n0 @ sk__30 )
| ~ ( leq @ sk__30 @ n2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl8691]) ).
thf(zip_derived_cl171,plain,
( ( leq @ n0 @ sk__27 )
| ( leq @ sk__29 @ ( minus @ n3 @ n1 ) )
| ( leq @ sk__31 @ ( minus @ n6 @ n1 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2491_049,plain,
( ( minus @ n3 @ n1 )
= n2 ),
inference('s_sup+',[status(thm)],[zip_derived_cl2479,zip_derived_cl98]) ).
thf(zip_derived_cl3989,plain,
( ( leq @ n0 @ sk__27 )
| ( leq @ sk__29 @ n2 )
| ( leq @ sk__31 @ ( minus @ n6 @ n1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl171,zip_derived_cl2491]) ).
thf(zip_derived_cl5436_050,plain,
( ( minus @ n6 @ n1 )
= n5 ),
inference('s_sup+',[status(thm)],[zip_derived_cl5405,zip_derived_cl2228]) ).
thf(zip_derived_cl5581,plain,
( ( leq @ n0 @ sk__27 )
| ( leq @ sk__29 @ n2 )
| ( leq @ sk__31 @ n5 ) ),
inference(demod,[status(thm)],[zip_derived_cl3989,zip_derived_cl5436]) ).
thf(zip_derived_cl5519_051,plain,
! [X4: $i,X5: $i] :
( ~ ( leq @ X4 @ n5 )
| ~ ( leq @ n0 @ X4 )
| ~ ( leq @ n0 @ X5 )
| ~ ( leq @ X5 @ n5 )
| ( ( a_select3 @ pminus_ds1_filter @ X4 @ X5 )
= ( a_select3 @ pminus_ds1_filter @ X5 @ X4 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl121,zip_derived_cl5436,zip_derived_cl5436]) ).
thf(zip_derived_cl6704_052,plain,
( ( ( a_select3 @ pminus_ds1_filter @ sk__31 @ sk__32 )
!= ( a_select3 @ pminus_ds1_filter @ sk__32 @ sk__31 ) )
| ( leq @ n0 @ sk__27 ) ),
inference(clc,[status(thm)],[zip_derived_cl6703,zip_derived_cl157]) ).
thf(zip_derived_cl8446,plain,
( ~ ( leq @ sk__32 @ n5 )
| ~ ( leq @ n0 @ sk__32 )
| ~ ( leq @ n0 @ sk__31 )
| ~ ( leq @ sk__31 @ n5 )
| ( ( a_select3 @ pminus_ds1_filter @ sk__31 @ sk__32 )
!= ( a_select3 @ pminus_ds1_filter @ sk__31 @ sk__32 ) )
| ( leq @ n0 @ sk__27 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl5519,zip_derived_cl6704]) ).
thf(zip_derived_cl8450,plain,
( ( leq @ n0 @ sk__27 )
| ~ ( leq @ sk__31 @ n5 )
| ~ ( leq @ n0 @ sk__31 )
| ~ ( leq @ n0 @ sk__32 )
| ~ ( leq @ sk__32 @ n5 ) ),
inference(simplify,[status(thm)],[zip_derived_cl8446]) ).
thf(zip_derived_cl6921_053,plain,
( ( leq @ n0 @ sk__31 )
| ( leq @ n0 @ sk__27 ) ),
inference(clc,[status(thm)],[zip_derived_cl6920,zip_derived_cl160]) ).
thf(zip_derived_cl8454,plain,
( ~ ( leq @ sk__32 @ n5 )
| ~ ( leq @ n0 @ sk__32 )
| ~ ( leq @ sk__31 @ n5 )
| ( leq @ n0 @ sk__27 ) ),
inference(clc,[status(thm)],[zip_derived_cl8450,zip_derived_cl6921]) ).
thf(zip_derived_cl6842_054,plain,
( ( leq @ n0 @ sk__32 )
| ( leq @ n0 @ sk__27 ) ),
inference(clc,[status(thm)],[zip_derived_cl6841,zip_derived_cl159]) ).
thf(zip_derived_cl8455,plain,
( ( leq @ n0 @ sk__27 )
| ~ ( leq @ sk__31 @ n5 )
| ~ ( leq @ sk__32 @ n5 ) ),
inference(clc,[status(thm)],[zip_derived_cl8454,zip_derived_cl6842]) ).
thf(zip_derived_cl9495,plain,
( ( leq @ sk__29 @ n2 )
| ( leq @ n0 @ sk__27 )
| ( leq @ n0 @ sk__27 )
| ~ ( leq @ sk__32 @ n5 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl5581,zip_derived_cl8455]) ).
thf(zip_derived_cl9500,plain,
( ~ ( leq @ sk__32 @ n5 )
| ( leq @ n0 @ sk__27 )
| ( leq @ sk__29 @ n2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl9495]) ).
thf(zip_derived_cl168,plain,
( ( leq @ n0 @ sk__27 )
| ( leq @ sk__29 @ ( minus @ n3 @ n1 ) )
| ( leq @ sk__32 @ ( minus @ n6 @ n1 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2491_055,plain,
( ( minus @ n3 @ n1 )
= n2 ),
inference('s_sup+',[status(thm)],[zip_derived_cl2479,zip_derived_cl98]) ).
thf(zip_derived_cl3969,plain,
( ( leq @ n0 @ sk__27 )
| ( leq @ sk__29 @ n2 )
| ( leq @ sk__32 @ ( minus @ n6 @ n1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl168,zip_derived_cl2491]) ).
thf(zip_derived_cl5436_056,plain,
( ( minus @ n6 @ n1 )
= n5 ),
inference('s_sup+',[status(thm)],[zip_derived_cl5405,zip_derived_cl2228]) ).
thf(zip_derived_cl5580,plain,
( ( leq @ n0 @ sk__27 )
| ( leq @ sk__29 @ n2 )
| ( leq @ sk__32 @ n5 ) ),
inference(demod,[status(thm)],[zip_derived_cl3969,zip_derived_cl5436]) ).
thf(zip_derived_cl20416,plain,
( ( leq @ sk__29 @ n2 )
| ( leq @ n0 @ sk__27 ) ),
inference(clc,[status(thm)],[zip_derived_cl9500,zip_derived_cl5580]) ).
thf(zip_derived_cl45783,plain,
( ~ ( leq @ sk__30 @ n2 )
| ~ ( leq @ n0 @ sk__30 )
| ~ ( leq @ n0 @ sk__29 )
| ( leq @ n0 @ sk__27 )
| ( leq @ sk__31 @ n5 ) ),
inference(clc,[status(thm)],[zip_derived_cl8693,zip_derived_cl20416]) ).
thf(zip_derived_cl156,plain,
( ( leq @ n0 @ sk__27 )
| ( leq @ sk__30 @ ( minus @ n3 @ n1 ) )
| ( leq @ sk__31 @ ( minus @ n6 @ n1 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2491_057,plain,
( ( minus @ n3 @ n1 )
= n2 ),
inference('s_sup+',[status(thm)],[zip_derived_cl2479,zip_derived_cl98]) ).
thf(zip_derived_cl3609,plain,
( ( leq @ n0 @ sk__27 )
| ( leq @ sk__30 @ n2 )
| ( leq @ sk__31 @ ( minus @ n6 @ n1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl156,zip_derived_cl2491]) ).
thf(zip_derived_cl5436_058,plain,
( ( minus @ n6 @ n1 )
= n5 ),
inference('s_sup+',[status(thm)],[zip_derived_cl5405,zip_derived_cl2228]) ).
thf(zip_derived_cl5579,plain,
( ( leq @ n0 @ sk__27 )
| ( leq @ sk__30 @ n2 )
| ( leq @ sk__31 @ n5 ) ),
inference(demod,[status(thm)],[zip_derived_cl3609,zip_derived_cl5436]) ).
thf(zip_derived_cl8455_059,plain,
( ( leq @ n0 @ sk__27 )
| ~ ( leq @ sk__31 @ n5 )
| ~ ( leq @ sk__32 @ n5 ) ),
inference(clc,[status(thm)],[zip_derived_cl8454,zip_derived_cl6842]) ).
thf(zip_derived_cl9426,plain,
( ( leq @ sk__30 @ n2 )
| ( leq @ n0 @ sk__27 )
| ( leq @ n0 @ sk__27 )
| ~ ( leq @ sk__32 @ n5 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl5579,zip_derived_cl8455]) ).
thf(zip_derived_cl9431,plain,
( ~ ( leq @ sk__32 @ n5 )
| ( leq @ n0 @ sk__27 )
| ( leq @ sk__30 @ n2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl9426]) ).
thf(zip_derived_cl153,plain,
( ( leq @ n0 @ sk__27 )
| ( leq @ sk__30 @ ( minus @ n3 @ n1 ) )
| ( leq @ sk__32 @ ( minus @ n6 @ n1 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2491_060,plain,
( ( minus @ n3 @ n1 )
= n2 ),
inference('s_sup+',[status(thm)],[zip_derived_cl2479,zip_derived_cl98]) ).
thf(zip_derived_cl3578,plain,
( ( leq @ n0 @ sk__27 )
| ( leq @ sk__30 @ n2 )
| ( leq @ sk__32 @ ( minus @ n6 @ n1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl153,zip_derived_cl2491]) ).
thf(zip_derived_cl5436_061,plain,
( ( minus @ n6 @ n1 )
= n5 ),
inference('s_sup+',[status(thm)],[zip_derived_cl5405,zip_derived_cl2228]) ).
thf(zip_derived_cl5578,plain,
( ( leq @ n0 @ sk__27 )
| ( leq @ sk__30 @ n2 )
| ( leq @ sk__32 @ n5 ) ),
inference(demod,[status(thm)],[zip_derived_cl3578,zip_derived_cl5436]) ).
thf(zip_derived_cl20239,plain,
( ( leq @ sk__30 @ n2 )
| ( leq @ n0 @ sk__27 ) ),
inference(clc,[status(thm)],[zip_derived_cl9431,zip_derived_cl5578]) ).
thf(zip_derived_cl45784,plain,
( ( leq @ sk__31 @ n5 )
| ( leq @ n0 @ sk__27 )
| ~ ( leq @ n0 @ sk__29 )
| ~ ( leq @ n0 @ sk__30 ) ),
inference(clc,[status(thm)],[zip_derived_cl45783,zip_derived_cl20239]) ).
thf(zip_derived_cl166,plain,
( ( leq @ n0 @ sk__27 )
| ( leq @ n0 @ sk__29 )
| ( leq @ sk__31 @ ( minus @ n6 @ n1 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl5436_062,plain,
( ( minus @ n6 @ n1 )
= n5 ),
inference('s_sup+',[status(thm)],[zip_derived_cl5405,zip_derived_cl2228]) ).
thf(zip_derived_cl5540,plain,
( ( leq @ n0 @ sk__27 )
| ( leq @ n0 @ sk__29 )
| ( leq @ sk__31 @ n5 ) ),
inference(demod,[status(thm)],[zip_derived_cl166,zip_derived_cl5436]) ).
thf(zip_derived_cl8455_063,plain,
( ( leq @ n0 @ sk__27 )
| ~ ( leq @ sk__31 @ n5 )
| ~ ( leq @ sk__32 @ n5 ) ),
inference(clc,[status(thm)],[zip_derived_cl8454,zip_derived_cl6842]) ).
thf(zip_derived_cl8805,plain,
( ( leq @ n0 @ sk__29 )
| ( leq @ n0 @ sk__27 )
| ( leq @ n0 @ sk__27 )
| ~ ( leq @ sk__32 @ n5 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl5540,zip_derived_cl8455]) ).
thf(zip_derived_cl8810,plain,
( ~ ( leq @ sk__32 @ n5 )
| ( leq @ n0 @ sk__27 )
| ( leq @ n0 @ sk__29 ) ),
inference(simplify,[status(thm)],[zip_derived_cl8805]) ).
thf(zip_derived_cl163,plain,
( ( leq @ n0 @ sk__27 )
| ( leq @ n0 @ sk__29 )
| ( leq @ sk__32 @ ( minus @ n6 @ n1 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl5436_064,plain,
( ( minus @ n6 @ n1 )
= n5 ),
inference('s_sup+',[status(thm)],[zip_derived_cl5405,zip_derived_cl2228]) ).
thf(zip_derived_cl5539,plain,
( ( leq @ n0 @ sk__27 )
| ( leq @ n0 @ sk__29 )
| ( leq @ sk__32 @ n5 ) ),
inference(demod,[status(thm)],[zip_derived_cl163,zip_derived_cl5436]) ).
thf(zip_derived_cl17174,plain,
( ( leq @ n0 @ sk__29 )
| ( leq @ n0 @ sk__27 ) ),
inference(clc,[status(thm)],[zip_derived_cl8810,zip_derived_cl5539]) ).
thf(zip_derived_cl45785,plain,
( ~ ( leq @ n0 @ sk__30 )
| ( leq @ n0 @ sk__27 )
| ( leq @ sk__31 @ n5 ) ),
inference(clc,[status(thm)],[zip_derived_cl45784,zip_derived_cl17174]) ).
thf(zip_derived_cl161,plain,
( ( leq @ n0 @ sk__27 )
| ( leq @ n0 @ sk__30 )
| ( leq @ sk__31 @ ( minus @ n6 @ n1 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl5436_065,plain,
( ( minus @ n6 @ n1 )
= n5 ),
inference('s_sup+',[status(thm)],[zip_derived_cl5405,zip_derived_cl2228]) ).
thf(zip_derived_cl5538,plain,
( ( leq @ n0 @ sk__27 )
| ( leq @ n0 @ sk__30 )
| ( leq @ sk__31 @ n5 ) ),
inference(demod,[status(thm)],[zip_derived_cl161,zip_derived_cl5436]) ).
thf(zip_derived_cl8455_066,plain,
( ( leq @ n0 @ sk__27 )
| ~ ( leq @ sk__31 @ n5 )
| ~ ( leq @ sk__32 @ n5 ) ),
inference(clc,[status(thm)],[zip_derived_cl8454,zip_derived_cl6842]) ).
thf(zip_derived_cl8788,plain,
( ( leq @ n0 @ sk__30 )
| ( leq @ n0 @ sk__27 )
| ( leq @ n0 @ sk__27 )
| ~ ( leq @ sk__32 @ n5 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl5538,zip_derived_cl8455]) ).
thf(zip_derived_cl8793,plain,
( ~ ( leq @ sk__32 @ n5 )
| ( leq @ n0 @ sk__27 )
| ( leq @ n0 @ sk__30 ) ),
inference(simplify,[status(thm)],[zip_derived_cl8788]) ).
thf(zip_derived_cl158,plain,
( ( leq @ n0 @ sk__27 )
| ( leq @ n0 @ sk__30 )
| ( leq @ sk__32 @ ( minus @ n6 @ n1 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl5436_067,plain,
( ( minus @ n6 @ n1 )
= n5 ),
inference('s_sup+',[status(thm)],[zip_derived_cl5405,zip_derived_cl2228]) ).
thf(zip_derived_cl5537,plain,
( ( leq @ n0 @ sk__27 )
| ( leq @ n0 @ sk__30 )
| ( leq @ sk__32 @ n5 ) ),
inference(demod,[status(thm)],[zip_derived_cl158,zip_derived_cl5436]) ).
thf(zip_derived_cl16677,plain,
( ( leq @ n0 @ sk__30 )
| ( leq @ n0 @ sk__27 ) ),
inference(clc,[status(thm)],[zip_derived_cl8793,zip_derived_cl5537]) ).
thf(zip_derived_cl45786,plain,
( ( leq @ sk__31 @ n5 )
| ( leq @ n0 @ sk__27 ) ),
inference(clc,[status(thm)],[zip_derived_cl45785,zip_derived_cl16677]) ).
thf(zip_derived_cl8455_068,plain,
( ( leq @ n0 @ sk__27 )
| ~ ( leq @ sk__31 @ n5 )
| ~ ( leq @ sk__32 @ n5 ) ),
inference(clc,[status(thm)],[zip_derived_cl8454,zip_derived_cl6842]) ).
thf(zip_derived_cl45889,plain,
( ( leq @ n0 @ sk__27 )
| ( leq @ n0 @ sk__27 )
| ~ ( leq @ sk__32 @ n5 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl45786,zip_derived_cl8455]) ).
thf(zip_derived_cl45943,plain,
( ~ ( leq @ sk__32 @ n5 )
| ( leq @ n0 @ sk__27 ) ),
inference(simplify,[status(thm)],[zip_derived_cl45889]) ).
thf(zip_derived_cl2712_069,plain,
! [X2: $i,X3: $i] :
( ~ ( leq @ X2 @ n2 )
| ~ ( leq @ n0 @ X2 )
| ~ ( leq @ n0 @ X3 )
| ~ ( leq @ X3 @ n2 )
| ( ( a_select3 @ r_ds1_filter @ X2 @ X3 )
= ( a_select3 @ r_ds1_filter @ X3 @ X2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl120,zip_derived_cl2491,zip_derived_cl2491]) ).
thf(zip_derived_cl148,plain,
( ( leq @ n0 @ sk__27 )
| ( ( a_select3 @ r_ds1_filter @ sk__29 @ sk__30 )
!= ( a_select3 @ r_ds1_filter @ sk__30 @ sk__29 ) )
| ( leq @ sk__32 @ ( minus @ n6 @ n1 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl5436_070,plain,
( ( minus @ n6 @ n1 )
= n5 ),
inference('s_sup+',[status(thm)],[zip_derived_cl5405,zip_derived_cl2228]) ).
thf(zip_derived_cl5535,plain,
( ( leq @ n0 @ sk__27 )
| ( ( a_select3 @ r_ds1_filter @ sk__29 @ sk__30 )
!= ( a_select3 @ r_ds1_filter @ sk__30 @ sk__29 ) )
| ( leq @ sk__32 @ n5 ) ),
inference(demod,[status(thm)],[zip_derived_cl148,zip_derived_cl5436]) ).
thf(zip_derived_cl8687,plain,
( ~ ( leq @ sk__30 @ n2 )
| ~ ( leq @ n0 @ sk__30 )
| ~ ( leq @ n0 @ sk__29 )
| ~ ( leq @ sk__29 @ n2 )
| ( leq @ n0 @ sk__27 )
| ( ( a_select3 @ r_ds1_filter @ sk__29 @ sk__30 )
!= ( a_select3 @ r_ds1_filter @ sk__29 @ sk__30 ) )
| ( leq @ sk__32 @ n5 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2712,zip_derived_cl5535]) ).
thf(zip_derived_cl8689,plain,
( ( leq @ sk__32 @ n5 )
| ( leq @ n0 @ sk__27 )
| ~ ( leq @ sk__29 @ n2 )
| ~ ( leq @ n0 @ sk__29 )
| ~ ( leq @ n0 @ sk__30 )
| ~ ( leq @ sk__30 @ n2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl8687]) ).
thf(zip_derived_cl20416_071,plain,
( ( leq @ sk__29 @ n2 )
| ( leq @ n0 @ sk__27 ) ),
inference(clc,[status(thm)],[zip_derived_cl9500,zip_derived_cl5580]) ).
thf(zip_derived_cl45618,plain,
( ~ ( leq @ sk__30 @ n2 )
| ~ ( leq @ n0 @ sk__30 )
| ~ ( leq @ n0 @ sk__29 )
| ( leq @ n0 @ sk__27 )
| ( leq @ sk__32 @ n5 ) ),
inference(clc,[status(thm)],[zip_derived_cl8689,zip_derived_cl20416]) ).
thf(zip_derived_cl20239_072,plain,
( ( leq @ sk__30 @ n2 )
| ( leq @ n0 @ sk__27 ) ),
inference(clc,[status(thm)],[zip_derived_cl9431,zip_derived_cl5578]) ).
thf(zip_derived_cl45619,plain,
( ( leq @ sk__32 @ n5 )
| ( leq @ n0 @ sk__27 )
| ~ ( leq @ n0 @ sk__29 )
| ~ ( leq @ n0 @ sk__30 ) ),
inference(clc,[status(thm)],[zip_derived_cl45618,zip_derived_cl20239]) ).
thf(zip_derived_cl17174_073,plain,
( ( leq @ n0 @ sk__29 )
| ( leq @ n0 @ sk__27 ) ),
inference(clc,[status(thm)],[zip_derived_cl8810,zip_derived_cl5539]) ).
thf(zip_derived_cl45620,plain,
( ~ ( leq @ n0 @ sk__30 )
| ( leq @ n0 @ sk__27 )
| ( leq @ sk__32 @ n5 ) ),
inference(clc,[status(thm)],[zip_derived_cl45619,zip_derived_cl17174]) ).
thf(zip_derived_cl16677_074,plain,
( ( leq @ n0 @ sk__30 )
| ( leq @ n0 @ sk__27 ) ),
inference(clc,[status(thm)],[zip_derived_cl8793,zip_derived_cl5537]) ).
thf(zip_derived_cl45621,plain,
( ( leq @ sk__32 @ n5 )
| ( leq @ n0 @ sk__27 ) ),
inference(clc,[status(thm)],[zip_derived_cl45620,zip_derived_cl16677]) ).
thf(zip_derived_cl45954,plain,
leq @ n0 @ sk__27,
inference(clc,[status(thm)],[zip_derived_cl45943,zip_derived_cl45621]) ).
thf(zip_derived_cl2712_075,plain,
! [X2: $i,X3: $i] :
( ~ ( leq @ X2 @ n2 )
| ~ ( leq @ n0 @ X2 )
| ~ ( leq @ n0 @ X3 )
| ~ ( leq @ X3 @ n2 )
| ( ( a_select3 @ r_ds1_filter @ X2 @ X3 )
= ( a_select3 @ r_ds1_filter @ X3 @ X2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl120,zip_derived_cl2491,zip_derived_cl2491]) ).
thf(zip_derived_cl176,plain,
( ( leq @ n0 @ sk__28 )
| ( ( a_select3 @ r_ds1_filter @ sk__29 @ sk__30 )
!= ( a_select3 @ r_ds1_filter @ sk__30 @ sk__29 ) )
| ( leq @ sk__31 @ ( minus @ n6 @ n1 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl5436_076,plain,
( ( minus @ n6 @ n1 )
= n5 ),
inference('s_sup+',[status(thm)],[zip_derived_cl5405,zip_derived_cl2228]) ).
thf(zip_derived_cl5542,plain,
( ( leq @ n0 @ sk__28 )
| ( ( a_select3 @ r_ds1_filter @ sk__29 @ sk__30 )
!= ( a_select3 @ r_ds1_filter @ sk__30 @ sk__29 ) )
| ( leq @ sk__31 @ n5 ) ),
inference(demod,[status(thm)],[zip_derived_cl176,zip_derived_cl5436]) ).
thf(zip_derived_cl8879,plain,
( ~ ( leq @ sk__30 @ n2 )
| ~ ( leq @ n0 @ sk__30 )
| ~ ( leq @ n0 @ sk__29 )
| ~ ( leq @ sk__29 @ n2 )
| ( leq @ n0 @ sk__28 )
| ( ( a_select3 @ r_ds1_filter @ sk__29 @ sk__30 )
!= ( a_select3 @ r_ds1_filter @ sk__29 @ sk__30 ) )
| ( leq @ sk__31 @ n5 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2712,zip_derived_cl5542]) ).
thf(zip_derived_cl8881,plain,
( ( leq @ sk__31 @ n5 )
| ( leq @ n0 @ sk__28 )
| ~ ( leq @ sk__29 @ n2 )
| ~ ( leq @ n0 @ sk__29 )
| ~ ( leq @ n0 @ sk__30 )
| ~ ( leq @ sk__30 @ n2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl8879]) ).
thf(zip_derived_cl196,plain,
( ( leq @ n0 @ sk__28 )
| ( leq @ sk__29 @ ( minus @ n3 @ n1 ) )
| ( leq @ sk__31 @ ( minus @ n6 @ n1 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2491_077,plain,
( ( minus @ n3 @ n1 )
= n2 ),
inference('s_sup+',[status(thm)],[zip_derived_cl2479,zip_derived_cl98]) ).
thf(zip_derived_cl4527,plain,
( ( leq @ n0 @ sk__28 )
| ( leq @ sk__29 @ n2 )
| ( leq @ sk__31 @ ( minus @ n6 @ n1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl196,zip_derived_cl2491]) ).
thf(zip_derived_cl5436_078,plain,
( ( minus @ n6 @ n1 )
= n5 ),
inference('s_sup+',[status(thm)],[zip_derived_cl5405,zip_derived_cl2228]) ).
thf(zip_derived_cl5595,plain,
( ( leq @ n0 @ sk__28 )
| ( leq @ sk__29 @ n2 )
| ( leq @ sk__31 @ n5 ) ),
inference(demod,[status(thm)],[zip_derived_cl4527,zip_derived_cl5436]) ).
thf(zip_derived_cl5519_079,plain,
! [X4: $i,X5: $i] :
( ~ ( leq @ X4 @ n5 )
| ~ ( leq @ n0 @ X4 )
| ~ ( leq @ n0 @ X5 )
| ~ ( leq @ X5 @ n5 )
| ( ( a_select3 @ pminus_ds1_filter @ X4 @ X5 )
= ( a_select3 @ pminus_ds1_filter @ X5 @ X4 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl121,zip_derived_cl5436,zip_derived_cl5436]) ).
thf(zip_derived_cl7030_080,plain,
( ( ( a_select3 @ pminus_ds1_filter @ sk__31 @ sk__32 )
!= ( a_select3 @ pminus_ds1_filter @ sk__32 @ sk__31 ) )
| ( leq @ n0 @ sk__28 ) ),
inference(clc,[status(thm)],[zip_derived_cl7029,zip_derived_cl182]) ).
thf(zip_derived_cl8447,plain,
( ~ ( leq @ sk__32 @ n5 )
| ~ ( leq @ n0 @ sk__32 )
| ~ ( leq @ n0 @ sk__31 )
| ~ ( leq @ sk__31 @ n5 )
| ( ( a_select3 @ pminus_ds1_filter @ sk__31 @ sk__32 )
!= ( a_select3 @ pminus_ds1_filter @ sk__31 @ sk__32 ) )
| ( leq @ n0 @ sk__28 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl5519,zip_derived_cl7030]) ).
thf(zip_derived_cl8451,plain,
( ( leq @ n0 @ sk__28 )
| ~ ( leq @ sk__31 @ n5 )
| ~ ( leq @ n0 @ sk__31 )
| ~ ( leq @ n0 @ sk__32 )
| ~ ( leq @ sk__32 @ n5 ) ),
inference(simplify,[status(thm)],[zip_derived_cl8447]) ).
thf(zip_derived_cl7137_081,plain,
( ( leq @ n0 @ sk__31 )
| ( leq @ n0 @ sk__28 ) ),
inference(clc,[status(thm)],[zip_derived_cl7136,zip_derived_cl185]) ).
thf(zip_derived_cl8496,plain,
( ~ ( leq @ sk__32 @ n5 )
| ~ ( leq @ n0 @ sk__32 )
| ~ ( leq @ sk__31 @ n5 )
| ( leq @ n0 @ sk__28 ) ),
inference(clc,[status(thm)],[zip_derived_cl8451,zip_derived_cl7137]) ).
thf(zip_derived_cl7074_082,plain,
( ( leq @ n0 @ sk__32 )
| ( leq @ n0 @ sk__28 ) ),
inference(clc,[status(thm)],[zip_derived_cl7073,zip_derived_cl184]) ).
thf(zip_derived_cl8497,plain,
( ( leq @ n0 @ sk__28 )
| ~ ( leq @ sk__31 @ n5 )
| ~ ( leq @ sk__32 @ n5 ) ),
inference(clc,[status(thm)],[zip_derived_cl8496,zip_derived_cl7074]) ).
thf(zip_derived_cl9572,plain,
( ( leq @ sk__29 @ n2 )
| ( leq @ n0 @ sk__28 )
| ( leq @ n0 @ sk__28 )
| ~ ( leq @ sk__32 @ n5 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl5595,zip_derived_cl8497]) ).
thf(zip_derived_cl9576,plain,
( ~ ( leq @ sk__32 @ n5 )
| ( leq @ n0 @ sk__28 )
| ( leq @ sk__29 @ n2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl9572]) ).
thf(zip_derived_cl193,plain,
( ( leq @ n0 @ sk__28 )
| ( leq @ sk__29 @ ( minus @ n3 @ n1 ) )
| ( leq @ sk__32 @ ( minus @ n6 @ n1 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2491_083,plain,
( ( minus @ n3 @ n1 )
= n2 ),
inference('s_sup+',[status(thm)],[zip_derived_cl2479,zip_derived_cl98]) ).
thf(zip_derived_cl4470,plain,
( ( leq @ n0 @ sk__28 )
| ( leq @ sk__29 @ n2 )
| ( leq @ sk__32 @ ( minus @ n6 @ n1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl193,zip_derived_cl2491]) ).
thf(zip_derived_cl5436_084,plain,
( ( minus @ n6 @ n1 )
= n5 ),
inference('s_sup+',[status(thm)],[zip_derived_cl5405,zip_derived_cl2228]) ).
thf(zip_derived_cl5594,plain,
( ( leq @ n0 @ sk__28 )
| ( leq @ sk__29 @ n2 )
| ( leq @ sk__32 @ n5 ) ),
inference(demod,[status(thm)],[zip_derived_cl4470,zip_derived_cl5436]) ).
thf(zip_derived_cl20601,plain,
( ( leq @ sk__29 @ n2 )
| ( leq @ n0 @ sk__28 ) ),
inference(clc,[status(thm)],[zip_derived_cl9576,zip_derived_cl5594]) ).
thf(zip_derived_cl46621,plain,
( ~ ( leq @ sk__30 @ n2 )
| ~ ( leq @ n0 @ sk__30 )
| ~ ( leq @ n0 @ sk__29 )
| ( leq @ n0 @ sk__28 )
| ( leq @ sk__31 @ n5 ) ),
inference(clc,[status(thm)],[zip_derived_cl8881,zip_derived_cl20601]) ).
thf(zip_derived_cl181,plain,
( ( leq @ n0 @ sk__28 )
| ( leq @ sk__30 @ ( minus @ n3 @ n1 ) )
| ( leq @ sk__31 @ ( minus @ n6 @ n1 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2491_085,plain,
( ( minus @ n3 @ n1 )
= n2 ),
inference('s_sup+',[status(thm)],[zip_derived_cl2479,zip_derived_cl98]) ).
thf(zip_derived_cl4145,plain,
( ( leq @ n0 @ sk__28 )
| ( leq @ sk__30 @ n2 )
| ( leq @ sk__31 @ ( minus @ n6 @ n1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl181,zip_derived_cl2491]) ).
thf(zip_derived_cl5436_086,plain,
( ( minus @ n6 @ n1 )
= n5 ),
inference('s_sup+',[status(thm)],[zip_derived_cl5405,zip_derived_cl2228]) ).
thf(zip_derived_cl5583,plain,
( ( leq @ n0 @ sk__28 )
| ( leq @ sk__30 @ n2 )
| ( leq @ sk__31 @ n5 ) ),
inference(demod,[status(thm)],[zip_derived_cl4145,zip_derived_cl5436]) ).
thf(zip_derived_cl8497_087,plain,
( ( leq @ n0 @ sk__28 )
| ~ ( leq @ sk__31 @ n5 )
| ~ ( leq @ sk__32 @ n5 ) ),
inference(clc,[status(thm)],[zip_derived_cl8496,zip_derived_cl7074]) ).
thf(zip_derived_cl9543,plain,
( ( leq @ sk__30 @ n2 )
| ( leq @ n0 @ sk__28 )
| ( leq @ n0 @ sk__28 )
| ~ ( leq @ sk__32 @ n5 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl5583,zip_derived_cl8497]) ).
thf(zip_derived_cl9547,plain,
( ~ ( leq @ sk__32 @ n5 )
| ( leq @ n0 @ sk__28 )
| ( leq @ sk__30 @ n2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl9543]) ).
thf(zip_derived_cl178,plain,
( ( leq @ n0 @ sk__28 )
| ( leq @ sk__30 @ ( minus @ n3 @ n1 ) )
| ( leq @ sk__32 @ ( minus @ n6 @ n1 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2491_088,plain,
( ( minus @ n3 @ n1 )
= n2 ),
inference('s_sup+',[status(thm)],[zip_derived_cl2479,zip_derived_cl98]) ).
thf(zip_derived_cl4120,plain,
( ( leq @ n0 @ sk__28 )
| ( leq @ sk__30 @ n2 )
| ( leq @ sk__32 @ ( minus @ n6 @ n1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl178,zip_derived_cl2491]) ).
thf(zip_derived_cl5436_089,plain,
( ( minus @ n6 @ n1 )
= n5 ),
inference('s_sup+',[status(thm)],[zip_derived_cl5405,zip_derived_cl2228]) ).
thf(zip_derived_cl5582,plain,
( ( leq @ n0 @ sk__28 )
| ( leq @ sk__30 @ n2 )
| ( leq @ sk__32 @ n5 ) ),
inference(demod,[status(thm)],[zip_derived_cl4120,zip_derived_cl5436]) ).
thf(zip_derived_cl20502,plain,
( ( leq @ sk__30 @ n2 )
| ( leq @ n0 @ sk__28 ) ),
inference(clc,[status(thm)],[zip_derived_cl9547,zip_derived_cl5582]) ).
thf(zip_derived_cl46622,plain,
( ( leq @ sk__31 @ n5 )
| ( leq @ n0 @ sk__28 )
| ~ ( leq @ n0 @ sk__29 )
| ~ ( leq @ n0 @ sk__30 ) ),
inference(clc,[status(thm)],[zip_derived_cl46621,zip_derived_cl20502]) ).
thf(zip_derived_cl191,plain,
( ( leq @ n0 @ sk__28 )
| ( leq @ n0 @ sk__29 )
| ( leq @ sk__31 @ ( minus @ n6 @ n1 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl5436_090,plain,
( ( minus @ n6 @ n1 )
= n5 ),
inference('s_sup+',[status(thm)],[zip_derived_cl5405,zip_derived_cl2228]) ).
thf(zip_derived_cl5546,plain,
( ( leq @ n0 @ sk__28 )
| ( leq @ n0 @ sk__29 )
| ( leq @ sk__31 @ n5 ) ),
inference(demod,[status(thm)],[zip_derived_cl191,zip_derived_cl5436]) ).
thf(zip_derived_cl8497_091,plain,
( ( leq @ n0 @ sk__28 )
| ~ ( leq @ sk__31 @ n5 )
| ~ ( leq @ sk__32 @ n5 ) ),
inference(clc,[status(thm)],[zip_derived_cl8496,zip_derived_cl7074]) ).
thf(zip_derived_cl8983,plain,
( ( leq @ n0 @ sk__29 )
| ( leq @ n0 @ sk__28 )
| ( leq @ n0 @ sk__28 )
| ~ ( leq @ sk__32 @ n5 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl5546,zip_derived_cl8497]) ).
thf(zip_derived_cl8987,plain,
( ~ ( leq @ sk__32 @ n5 )
| ( leq @ n0 @ sk__28 )
| ( leq @ n0 @ sk__29 ) ),
inference(simplify,[status(thm)],[zip_derived_cl8983]) ).
thf(zip_derived_cl188,plain,
( ( leq @ n0 @ sk__28 )
| ( leq @ n0 @ sk__29 )
| ( leq @ sk__32 @ ( minus @ n6 @ n1 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl5436_092,plain,
( ( minus @ n6 @ n1 )
= n5 ),
inference('s_sup+',[status(thm)],[zip_derived_cl5405,zip_derived_cl2228]) ).
thf(zip_derived_cl5545,plain,
( ( leq @ n0 @ sk__28 )
| ( leq @ n0 @ sk__29 )
| ( leq @ sk__32 @ n5 ) ),
inference(demod,[status(thm)],[zip_derived_cl188,zip_derived_cl5436]) ).
thf(zip_derived_cl18475,plain,
( ( leq @ n0 @ sk__29 )
| ( leq @ n0 @ sk__28 ) ),
inference(clc,[status(thm)],[zip_derived_cl8987,zip_derived_cl5545]) ).
thf(zip_derived_cl46623,plain,
( ~ ( leq @ n0 @ sk__30 )
| ( leq @ n0 @ sk__28 )
| ( leq @ sk__31 @ n5 ) ),
inference(clc,[status(thm)],[zip_derived_cl46622,zip_derived_cl18475]) ).
thf(zip_derived_cl186,plain,
( ( leq @ n0 @ sk__28 )
| ( leq @ n0 @ sk__30 )
| ( leq @ sk__31 @ ( minus @ n6 @ n1 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl5436_093,plain,
( ( minus @ n6 @ n1 )
= n5 ),
inference('s_sup+',[status(thm)],[zip_derived_cl5405,zip_derived_cl2228]) ).
thf(zip_derived_cl5544,plain,
( ( leq @ n0 @ sk__28 )
| ( leq @ n0 @ sk__30 )
| ( leq @ sk__31 @ n5 ) ),
inference(demod,[status(thm)],[zip_derived_cl186,zip_derived_cl5436]) ).
thf(zip_derived_cl8497_094,plain,
( ( leq @ n0 @ sk__28 )
| ~ ( leq @ sk__31 @ n5 )
| ~ ( leq @ sk__32 @ n5 ) ),
inference(clc,[status(thm)],[zip_derived_cl8496,zip_derived_cl7074]) ).
thf(zip_derived_cl8945,plain,
( ( leq @ n0 @ sk__30 )
| ( leq @ n0 @ sk__28 )
| ( leq @ n0 @ sk__28 )
| ~ ( leq @ sk__32 @ n5 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl5544,zip_derived_cl8497]) ).
thf(zip_derived_cl8949,plain,
( ~ ( leq @ sk__32 @ n5 )
| ( leq @ n0 @ sk__28 )
| ( leq @ n0 @ sk__30 ) ),
inference(simplify,[status(thm)],[zip_derived_cl8945]) ).
thf(zip_derived_cl183,plain,
( ( leq @ n0 @ sk__28 )
| ( leq @ n0 @ sk__30 )
| ( leq @ sk__32 @ ( minus @ n6 @ n1 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl5436_095,plain,
( ( minus @ n6 @ n1 )
= n5 ),
inference('s_sup+',[status(thm)],[zip_derived_cl5405,zip_derived_cl2228]) ).
thf(zip_derived_cl5543,plain,
( ( leq @ n0 @ sk__28 )
| ( leq @ n0 @ sk__30 )
| ( leq @ sk__32 @ n5 ) ),
inference(demod,[status(thm)],[zip_derived_cl183,zip_derived_cl5436]) ).
thf(zip_derived_cl18075,plain,
( ( leq @ n0 @ sk__30 )
| ( leq @ n0 @ sk__28 ) ),
inference(clc,[status(thm)],[zip_derived_cl8949,zip_derived_cl5543]) ).
thf(zip_derived_cl46624,plain,
( ( leq @ sk__31 @ n5 )
| ( leq @ n0 @ sk__28 ) ),
inference(clc,[status(thm)],[zip_derived_cl46623,zip_derived_cl18075]) ).
thf(zip_derived_cl8497_096,plain,
( ( leq @ n0 @ sk__28 )
| ~ ( leq @ sk__31 @ n5 )
| ~ ( leq @ sk__32 @ n5 ) ),
inference(clc,[status(thm)],[zip_derived_cl8496,zip_derived_cl7074]) ).
thf(zip_derived_cl46679,plain,
( ( leq @ n0 @ sk__28 )
| ( leq @ n0 @ sk__28 )
| ~ ( leq @ sk__32 @ n5 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl46624,zip_derived_cl8497]) ).
thf(zip_derived_cl46732,plain,
( ~ ( leq @ sk__32 @ n5 )
| ( leq @ n0 @ sk__28 ) ),
inference(simplify,[status(thm)],[zip_derived_cl46679]) ).
thf(zip_derived_cl2712_097,plain,
! [X2: $i,X3: $i] :
( ~ ( leq @ X2 @ n2 )
| ~ ( leq @ n0 @ X2 )
| ~ ( leq @ n0 @ X3 )
| ~ ( leq @ X3 @ n2 )
| ( ( a_select3 @ r_ds1_filter @ X2 @ X3 )
= ( a_select3 @ r_ds1_filter @ X3 @ X2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl120,zip_derived_cl2491,zip_derived_cl2491]) ).
thf(zip_derived_cl173,plain,
( ( leq @ n0 @ sk__28 )
| ( ( a_select3 @ r_ds1_filter @ sk__29 @ sk__30 )
!= ( a_select3 @ r_ds1_filter @ sk__30 @ sk__29 ) )
| ( leq @ sk__32 @ ( minus @ n6 @ n1 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl5436_098,plain,
( ( minus @ n6 @ n1 )
= n5 ),
inference('s_sup+',[status(thm)],[zip_derived_cl5405,zip_derived_cl2228]) ).
thf(zip_derived_cl5541,plain,
( ( leq @ n0 @ sk__28 )
| ( ( a_select3 @ r_ds1_filter @ sk__29 @ sk__30 )
!= ( a_select3 @ r_ds1_filter @ sk__30 @ sk__29 ) )
| ( leq @ sk__32 @ n5 ) ),
inference(demod,[status(thm)],[zip_derived_cl173,zip_derived_cl5436]) ).
thf(zip_derived_cl8875,plain,
( ~ ( leq @ sk__30 @ n2 )
| ~ ( leq @ n0 @ sk__30 )
| ~ ( leq @ n0 @ sk__29 )
| ~ ( leq @ sk__29 @ n2 )
| ( leq @ n0 @ sk__28 )
| ( ( a_select3 @ r_ds1_filter @ sk__29 @ sk__30 )
!= ( a_select3 @ r_ds1_filter @ sk__29 @ sk__30 ) )
| ( leq @ sk__32 @ n5 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2712,zip_derived_cl5541]) ).
thf(zip_derived_cl8877,plain,
( ( leq @ sk__32 @ n5 )
| ( leq @ n0 @ sk__28 )
| ~ ( leq @ sk__29 @ n2 )
| ~ ( leq @ n0 @ sk__29 )
| ~ ( leq @ n0 @ sk__30 )
| ~ ( leq @ sk__30 @ n2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl8875]) ).
thf(zip_derived_cl20601_099,plain,
( ( leq @ sk__29 @ n2 )
| ( leq @ n0 @ sk__28 ) ),
inference(clc,[status(thm)],[zip_derived_cl9576,zip_derived_cl5594]) ).
thf(zip_derived_cl46126,plain,
( ~ ( leq @ sk__30 @ n2 )
| ~ ( leq @ n0 @ sk__30 )
| ~ ( leq @ n0 @ sk__29 )
| ( leq @ n0 @ sk__28 )
| ( leq @ sk__32 @ n5 ) ),
inference(clc,[status(thm)],[zip_derived_cl8877,zip_derived_cl20601]) ).
thf(zip_derived_cl20502_100,plain,
( ( leq @ sk__30 @ n2 )
| ( leq @ n0 @ sk__28 ) ),
inference(clc,[status(thm)],[zip_derived_cl9547,zip_derived_cl5582]) ).
thf(zip_derived_cl46127,plain,
( ( leq @ sk__32 @ n5 )
| ( leq @ n0 @ sk__28 )
| ~ ( leq @ n0 @ sk__29 )
| ~ ( leq @ n0 @ sk__30 ) ),
inference(clc,[status(thm)],[zip_derived_cl46126,zip_derived_cl20502]) ).
thf(zip_derived_cl18475_101,plain,
( ( leq @ n0 @ sk__29 )
| ( leq @ n0 @ sk__28 ) ),
inference(clc,[status(thm)],[zip_derived_cl8987,zip_derived_cl5545]) ).
thf(zip_derived_cl46128,plain,
( ~ ( leq @ n0 @ sk__30 )
| ( leq @ n0 @ sk__28 )
| ( leq @ sk__32 @ n5 ) ),
inference(clc,[status(thm)],[zip_derived_cl46127,zip_derived_cl18475]) ).
thf(zip_derived_cl18075_102,plain,
( ( leq @ n0 @ sk__30 )
| ( leq @ n0 @ sk__28 ) ),
inference(clc,[status(thm)],[zip_derived_cl8949,zip_derived_cl5543]) ).
thf(zip_derived_cl46129,plain,
( ( leq @ sk__32 @ n5 )
| ( leq @ n0 @ sk__28 ) ),
inference(clc,[status(thm)],[zip_derived_cl46128,zip_derived_cl18075]) ).
thf(zip_derived_cl46938,plain,
leq @ n0 @ sk__28,
inference(clc,[status(thm)],[zip_derived_cl46732,zip_derived_cl46129]) ).
thf(zip_derived_cl47493,plain,
( ( leq @ sk__32 @ n5 )
| ( ( a_select3 @ r_ds1_filter @ sk__29 @ sk__30 )
!= ( a_select3 @ r_ds1_filter @ sk__30 @ sk__29 ) )
| ~ ( leq @ sk__27 @ n5 )
| ~ ( leq @ sk__28 @ n5 ) ),
inference(demod,[status(thm)],[zip_derived_cl9080,zip_derived_cl45954,zip_derived_cl46938]) ).
thf(zip_derived_cl2712_103,plain,
! [X2: $i,X3: $i] :
( ~ ( leq @ X2 @ n2 )
| ~ ( leq @ n0 @ X2 )
| ~ ( leq @ n0 @ X3 )
| ~ ( leq @ X3 @ n2 )
| ( ( a_select3 @ r_ds1_filter @ X2 @ X3 )
= ( a_select3 @ r_ds1_filter @ X3 @ X2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl120,zip_derived_cl2491,zip_derived_cl2491]) ).
thf(zip_derived_cl123,plain,
( ( leq @ sk__27 @ ( minus @ n6 @ n1 ) )
| ( ( a_select3 @ r_ds1_filter @ sk__29 @ sk__30 )
!= ( a_select3 @ r_ds1_filter @ sk__30 @ sk__29 ) )
| ( leq @ sk__32 @ ( minus @ n6 @ n1 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl5436_104,plain,
( ( minus @ n6 @ n1 )
= n5 ),
inference('s_sup+',[status(thm)],[zip_derived_cl5405,zip_derived_cl2228]) ).
thf(zip_derived_cl5436_105,plain,
( ( minus @ n6 @ n1 )
= n5 ),
inference('s_sup+',[status(thm)],[zip_derived_cl5405,zip_derived_cl2228]) ).
thf(zip_derived_cl5521,plain,
( ( leq @ sk__27 @ n5 )
| ( ( a_select3 @ r_ds1_filter @ sk__29 @ sk__30 )
!= ( a_select3 @ r_ds1_filter @ sk__30 @ sk__29 ) )
| ( leq @ sk__32 @ n5 ) ),
inference(demod,[status(thm)],[zip_derived_cl123,zip_derived_cl5436,zip_derived_cl5436]) ).
thf(zip_derived_cl8492,plain,
( ~ ( leq @ sk__30 @ n2 )
| ~ ( leq @ n0 @ sk__30 )
| ~ ( leq @ n0 @ sk__29 )
| ~ ( leq @ sk__29 @ n2 )
| ( leq @ sk__27 @ n5 )
| ( ( a_select3 @ r_ds1_filter @ sk__29 @ sk__30 )
!= ( a_select3 @ r_ds1_filter @ sk__29 @ sk__30 ) )
| ( leq @ sk__32 @ n5 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2712,zip_derived_cl5521]) ).
thf(zip_derived_cl8494,plain,
( ( leq @ sk__32 @ n5 )
| ( leq @ sk__27 @ n5 )
| ~ ( leq @ sk__29 @ n2 )
| ~ ( leq @ n0 @ sk__29 )
| ~ ( leq @ n0 @ sk__30 )
| ~ ( leq @ sk__30 @ n2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl8492]) ).
thf(zip_derived_cl143,plain,
( ( leq @ sk__27 @ ( minus @ n6 @ n1 ) )
| ( leq @ sk__29 @ ( minus @ n3 @ n1 ) )
| ( leq @ sk__32 @ ( minus @ n6 @ n1 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2491_106,plain,
( ( minus @ n3 @ n1 )
= n2 ),
inference('s_sup+',[status(thm)],[zip_derived_cl2479,zip_derived_cl98]) ).
thf(zip_derived_cl3338,plain,
( ( leq @ sk__27 @ ( minus @ n6 @ n1 ) )
| ( leq @ sk__29 @ n2 )
| ( leq @ sk__32 @ ( minus @ n6 @ n1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl143,zip_derived_cl2491]) ).
thf(zip_derived_cl5436_107,plain,
( ( minus @ n6 @ n1 )
= n5 ),
inference('s_sup+',[status(thm)],[zip_derived_cl5405,zip_derived_cl2228]) ).
thf(zip_derived_cl5436_108,plain,
( ( minus @ n6 @ n1 )
= n5 ),
inference('s_sup+',[status(thm)],[zip_derived_cl5405,zip_derived_cl2228]) ).
thf(zip_derived_cl5574,plain,
( ( leq @ sk__27 @ n5 )
| ( leq @ sk__29 @ n2 )
| ( leq @ sk__32 @ n5 ) ),
inference(demod,[status(thm)],[zip_derived_cl3338,zip_derived_cl5436,zip_derived_cl5436]) ).
thf(zip_derived_cl43746,plain,
( ~ ( leq @ sk__30 @ n2 )
| ~ ( leq @ n0 @ sk__30 )
| ~ ( leq @ n0 @ sk__29 )
| ( leq @ sk__27 @ n5 )
| ( leq @ sk__32 @ n5 ) ),
inference(clc,[status(thm)],[zip_derived_cl8494,zip_derived_cl5574]) ).
thf(zip_derived_cl128,plain,
( ( leq @ sk__27 @ ( minus @ n6 @ n1 ) )
| ( leq @ sk__30 @ ( minus @ n3 @ n1 ) )
| ( leq @ sk__32 @ ( minus @ n6 @ n1 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2491_109,plain,
( ( minus @ n3 @ n1 )
= n2 ),
inference('s_sup+',[status(thm)],[zip_derived_cl2479,zip_derived_cl98]) ).
thf(zip_derived_cl2915,plain,
( ( leq @ sk__27 @ ( minus @ n6 @ n1 ) )
| ( leq @ sk__30 @ n2 )
| ( leq @ sk__32 @ ( minus @ n6 @ n1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl128,zip_derived_cl2491]) ).
thf(zip_derived_cl5436_110,plain,
( ( minus @ n6 @ n1 )
= n5 ),
inference('s_sup+',[status(thm)],[zip_derived_cl5405,zip_derived_cl2228]) ).
thf(zip_derived_cl5436_111,plain,
( ( minus @ n6 @ n1 )
= n5 ),
inference('s_sup+',[status(thm)],[zip_derived_cl5405,zip_derived_cl2228]) ).
thf(zip_derived_cl5569,plain,
( ( leq @ sk__27 @ n5 )
| ( leq @ sk__30 @ n2 )
| ( leq @ sk__32 @ n5 ) ),
inference(demod,[status(thm)],[zip_derived_cl2915,zip_derived_cl5436,zip_derived_cl5436]) ).
thf(zip_derived_cl43747,plain,
( ( leq @ sk__32 @ n5 )
| ( leq @ sk__27 @ n5 )
| ~ ( leq @ n0 @ sk__29 )
| ~ ( leq @ n0 @ sk__30 ) ),
inference(clc,[status(thm)],[zip_derived_cl43746,zip_derived_cl5569]) ).
thf(zip_derived_cl138,plain,
( ( leq @ sk__27 @ ( minus @ n6 @ n1 ) )
| ( leq @ n0 @ sk__29 )
| ( leq @ sk__32 @ ( minus @ n6 @ n1 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl5436_112,plain,
( ( minus @ n6 @ n1 )
= n5 ),
inference('s_sup+',[status(thm)],[zip_derived_cl5405,zip_derived_cl2228]) ).
thf(zip_derived_cl5436_113,plain,
( ( minus @ n6 @ n1 )
= n5 ),
inference('s_sup+',[status(thm)],[zip_derived_cl5405,zip_derived_cl2228]) ).
thf(zip_derived_cl5531,plain,
( ( leq @ sk__27 @ n5 )
| ( leq @ n0 @ sk__29 )
| ( leq @ sk__32 @ n5 ) ),
inference(demod,[status(thm)],[zip_derived_cl138,zip_derived_cl5436,zip_derived_cl5436]) ).
thf(zip_derived_cl43748,plain,
( ~ ( leq @ n0 @ sk__30 )
| ( leq @ sk__27 @ n5 )
| ( leq @ sk__32 @ n5 ) ),
inference(clc,[status(thm)],[zip_derived_cl43747,zip_derived_cl5531]) ).
thf(zip_derived_cl133,plain,
( ( leq @ sk__27 @ ( minus @ n6 @ n1 ) )
| ( leq @ n0 @ sk__30 )
| ( leq @ sk__32 @ ( minus @ n6 @ n1 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl5436_114,plain,
( ( minus @ n6 @ n1 )
= n5 ),
inference('s_sup+',[status(thm)],[zip_derived_cl5405,zip_derived_cl2228]) ).
thf(zip_derived_cl5436_115,plain,
( ( minus @ n6 @ n1 )
= n5 ),
inference('s_sup+',[status(thm)],[zip_derived_cl5405,zip_derived_cl2228]) ).
thf(zip_derived_cl5526,plain,
( ( leq @ sk__27 @ n5 )
| ( leq @ n0 @ sk__30 )
| ( leq @ sk__32 @ n5 ) ),
inference(demod,[status(thm)],[zip_derived_cl133,zip_derived_cl5436,zip_derived_cl5436]) ).
thf(zip_derived_cl43749,plain,
( ( leq @ sk__32 @ n5 )
| ( leq @ sk__27 @ n5 ) ),
inference(clc,[status(thm)],[zip_derived_cl43748,zip_derived_cl5526]) ).
thf(zip_derived_cl47494,plain,
( ~ ( leq @ sk__28 @ n5 )
| ( ( a_select3 @ r_ds1_filter @ sk__29 @ sk__30 )
!= ( a_select3 @ r_ds1_filter @ sk__30 @ sk__29 ) )
| ( leq @ sk__32 @ n5 ) ),
inference(clc,[status(thm)],[zip_derived_cl47493,zip_derived_cl43749]) ).
thf(zip_derived_cl2712_116,plain,
! [X2: $i,X3: $i] :
( ~ ( leq @ X2 @ n2 )
| ~ ( leq @ n0 @ X2 )
| ~ ( leq @ n0 @ X3 )
| ~ ( leq @ X3 @ n2 )
| ( ( a_select3 @ r_ds1_filter @ X2 @ X3 )
= ( a_select3 @ r_ds1_filter @ X3 @ X2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl120,zip_derived_cl2491,zip_derived_cl2491]) ).
thf(zip_derived_cl198,plain,
( ( leq @ sk__28 @ ( minus @ n6 @ n1 ) )
| ( ( a_select3 @ r_ds1_filter @ sk__29 @ sk__30 )
!= ( a_select3 @ r_ds1_filter @ sk__30 @ sk__29 ) )
| ( leq @ sk__32 @ ( minus @ n6 @ n1 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl5436_117,plain,
( ( minus @ n6 @ n1 )
= n5 ),
inference('s_sup+',[status(thm)],[zip_derived_cl5405,zip_derived_cl2228]) ).
thf(zip_derived_cl5436_118,plain,
( ( minus @ n6 @ n1 )
= n5 ),
inference('s_sup+',[status(thm)],[zip_derived_cl5405,zip_derived_cl2228]) ).
thf(zip_derived_cl5548,plain,
( ( leq @ sk__28 @ n5 )
| ( ( a_select3 @ r_ds1_filter @ sk__29 @ sk__30 )
!= ( a_select3 @ r_ds1_filter @ sk__30 @ sk__29 ) )
| ( leq @ sk__32 @ n5 ) ),
inference(demod,[status(thm)],[zip_derived_cl198,zip_derived_cl5436,zip_derived_cl5436]) ).
thf(zip_derived_cl9020,plain,
( ~ ( leq @ sk__30 @ n2 )
| ~ ( leq @ n0 @ sk__30 )
| ~ ( leq @ n0 @ sk__29 )
| ~ ( leq @ sk__29 @ n2 )
| ( leq @ sk__28 @ n5 )
| ( ( a_select3 @ r_ds1_filter @ sk__29 @ sk__30 )
!= ( a_select3 @ r_ds1_filter @ sk__29 @ sk__30 ) )
| ( leq @ sk__32 @ n5 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2712,zip_derived_cl5548]) ).
thf(zip_derived_cl9022,plain,
( ( leq @ sk__32 @ n5 )
| ( leq @ sk__28 @ n5 )
| ~ ( leq @ sk__29 @ n2 )
| ~ ( leq @ n0 @ sk__29 )
| ~ ( leq @ n0 @ sk__30 )
| ~ ( leq @ sk__30 @ n2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl9020]) ).
thf(zip_derived_cl218,plain,
( ( leq @ sk__28 @ ( minus @ n6 @ n1 ) )
| ( leq @ sk__29 @ ( minus @ n3 @ n1 ) )
| ( leq @ sk__32 @ ( minus @ n6 @ n1 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2491_119,plain,
( ( minus @ n3 @ n1 )
= n2 ),
inference('s_sup+',[status(thm)],[zip_derived_cl2479,zip_derived_cl98]) ).
thf(zip_derived_cl4867,plain,
( ( leq @ sk__28 @ ( minus @ n6 @ n1 ) )
| ( leq @ sk__29 @ n2 )
| ( leq @ sk__32 @ ( minus @ n6 @ n1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl218,zip_derived_cl2491]) ).
thf(zip_derived_cl5436_120,plain,
( ( minus @ n6 @ n1 )
= n5 ),
inference('s_sup+',[status(thm)],[zip_derived_cl5405,zip_derived_cl2228]) ).
thf(zip_derived_cl5436_121,plain,
( ( minus @ n6 @ n1 )
= n5 ),
inference('s_sup+',[status(thm)],[zip_derived_cl5405,zip_derived_cl2228]) ).
thf(zip_derived_cl5604,plain,
( ( leq @ sk__28 @ n5 )
| ( leq @ sk__29 @ n2 )
| ( leq @ sk__32 @ n5 ) ),
inference(demod,[status(thm)],[zip_derived_cl4867,zip_derived_cl5436,zip_derived_cl5436]) ).
thf(zip_derived_cl47121,plain,
( ~ ( leq @ sk__30 @ n2 )
| ~ ( leq @ n0 @ sk__30 )
| ~ ( leq @ n0 @ sk__29 )
| ( leq @ sk__28 @ n5 )
| ( leq @ sk__32 @ n5 ) ),
inference(clc,[status(thm)],[zip_derived_cl9022,zip_derived_cl5604]) ).
thf(zip_derived_cl203,plain,
( ( leq @ sk__28 @ ( minus @ n6 @ n1 ) )
| ( leq @ sk__30 @ ( minus @ n3 @ n1 ) )
| ( leq @ sk__32 @ ( minus @ n6 @ n1 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2491_122,plain,
( ( minus @ n3 @ n1 )
= n2 ),
inference('s_sup+',[status(thm)],[zip_derived_cl2479,zip_derived_cl98]) ).
thf(zip_derived_cl4689,plain,
( ( leq @ sk__28 @ ( minus @ n6 @ n1 ) )
| ( leq @ sk__30 @ n2 )
| ( leq @ sk__32 @ ( minus @ n6 @ n1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl203,zip_derived_cl2491]) ).
thf(zip_derived_cl5436_123,plain,
( ( minus @ n6 @ n1 )
= n5 ),
inference('s_sup+',[status(thm)],[zip_derived_cl5405,zip_derived_cl2228]) ).
thf(zip_derived_cl5436_124,plain,
( ( minus @ n6 @ n1 )
= n5 ),
inference('s_sup+',[status(thm)],[zip_derived_cl5405,zip_derived_cl2228]) ).
thf(zip_derived_cl5599,plain,
( ( leq @ sk__28 @ n5 )
| ( leq @ sk__30 @ n2 )
| ( leq @ sk__32 @ n5 ) ),
inference(demod,[status(thm)],[zip_derived_cl4689,zip_derived_cl5436,zip_derived_cl5436]) ).
thf(zip_derived_cl47122,plain,
( ( leq @ sk__32 @ n5 )
| ( leq @ sk__28 @ n5 )
| ~ ( leq @ n0 @ sk__29 )
| ~ ( leq @ n0 @ sk__30 ) ),
inference(clc,[status(thm)],[zip_derived_cl47121,zip_derived_cl5599]) ).
thf(zip_derived_cl213,plain,
( ( leq @ sk__28 @ ( minus @ n6 @ n1 ) )
| ( leq @ n0 @ sk__29 )
| ( leq @ sk__32 @ ( minus @ n6 @ n1 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl5436_125,plain,
( ( minus @ n6 @ n1 )
= n5 ),
inference('s_sup+',[status(thm)],[zip_derived_cl5405,zip_derived_cl2228]) ).
thf(zip_derived_cl5436_126,plain,
( ( minus @ n6 @ n1 )
= n5 ),
inference('s_sup+',[status(thm)],[zip_derived_cl5405,zip_derived_cl2228]) ).
thf(zip_derived_cl5558,plain,
( ( leq @ sk__28 @ n5 )
| ( leq @ n0 @ sk__29 )
| ( leq @ sk__32 @ n5 ) ),
inference(demod,[status(thm)],[zip_derived_cl213,zip_derived_cl5436,zip_derived_cl5436]) ).
thf(zip_derived_cl47123,plain,
( ~ ( leq @ n0 @ sk__30 )
| ( leq @ sk__28 @ n5 )
| ( leq @ sk__32 @ n5 ) ),
inference(clc,[status(thm)],[zip_derived_cl47122,zip_derived_cl5558]) ).
thf(zip_derived_cl208,plain,
( ( leq @ sk__28 @ ( minus @ n6 @ n1 ) )
| ( leq @ n0 @ sk__30 )
| ( leq @ sk__32 @ ( minus @ n6 @ n1 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl5436_127,plain,
( ( minus @ n6 @ n1 )
= n5 ),
inference('s_sup+',[status(thm)],[zip_derived_cl5405,zip_derived_cl2228]) ).
thf(zip_derived_cl5436_128,plain,
( ( minus @ n6 @ n1 )
= n5 ),
inference('s_sup+',[status(thm)],[zip_derived_cl5405,zip_derived_cl2228]) ).
thf(zip_derived_cl5553,plain,
( ( leq @ sk__28 @ n5 )
| ( leq @ n0 @ sk__30 )
| ( leq @ sk__32 @ n5 ) ),
inference(demod,[status(thm)],[zip_derived_cl208,zip_derived_cl5436,zip_derived_cl5436]) ).
thf(zip_derived_cl47124,plain,
( ( leq @ sk__32 @ n5 )
| ( leq @ sk__28 @ n5 ) ),
inference(clc,[status(thm)],[zip_derived_cl47123,zip_derived_cl5553]) ).
thf(zip_derived_cl47495,plain,
( ( leq @ sk__32 @ n5 )
| ( ( a_select3 @ r_ds1_filter @ sk__29 @ sk__30 )
!= ( a_select3 @ r_ds1_filter @ sk__30 @ sk__29 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl47494,zip_derived_cl47124]) ).
thf(zip_derived_cl47496,plain,
( ~ ( leq @ sk__30 @ n2 )
| ~ ( leq @ n0 @ sk__30 )
| ~ ( leq @ n0 @ sk__29 )
| ~ ( leq @ sk__29 @ n2 )
| ( leq @ sk__32 @ n5 )
| ( ( a_select3 @ r_ds1_filter @ sk__29 @ sk__30 )
!= ( a_select3 @ r_ds1_filter @ sk__29 @ sk__30 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2712,zip_derived_cl47495]) ).
thf(zip_derived_cl47498,plain,
( ( leq @ sk__32 @ n5 )
| ~ ( leq @ sk__29 @ n2 )
| ~ ( leq @ n0 @ sk__29 )
| ~ ( leq @ n0 @ sk__30 )
| ~ ( leq @ sk__30 @ n2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl47496]) ).
thf(zip_derived_cl5519_129,plain,
! [X4: $i,X5: $i] :
( ~ ( leq @ X4 @ n5 )
| ~ ( leq @ n0 @ X4 )
| ~ ( leq @ n0 @ X5 )
| ~ ( leq @ X5 @ n5 )
| ( ( a_select3 @ pminus_ds1_filter @ X4 @ X5 )
= ( a_select3 @ pminus_ds1_filter @ X5 @ X4 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl121,zip_derived_cl5436,zip_derived_cl5436]) ).
thf(zip_derived_cl5518_130,plain,
! [X0: $i,X1: $i] :
( ~ ( leq @ X0 @ n5 )
| ~ ( leq @ n0 @ X0 )
| ~ ( leq @ n0 @ X1 )
| ~ ( leq @ X1 @ n5 )
| ( ( a_select3 @ q_ds1_filter @ X0 @ X1 )
= ( a_select3 @ q_ds1_filter @ X1 @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl119,zip_derived_cl5436,zip_derived_cl5436]) ).
thf(zip_derived_cl242,plain,
( ( ( a_select3 @ q_ds1_filter @ sk__27 @ sk__28 )
!= ( a_select3 @ q_ds1_filter @ sk__28 @ sk__27 ) )
| ( leq @ sk__29 @ ( minus @ n3 @ n1 ) )
| ( ( a_select3 @ pminus_ds1_filter @ sk__31 @ sk__32 )
!= ( a_select3 @ pminus_ds1_filter @ sk__32 @ sk__31 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2491_131,plain,
( ( minus @ n3 @ n1 )
= n2 ),
inference('s_sup+',[status(thm)],[zip_derived_cl2479,zip_derived_cl98]) ).
thf(zip_derived_cl5078,plain,
( ( ( a_select3 @ q_ds1_filter @ sk__27 @ sk__28 )
!= ( a_select3 @ q_ds1_filter @ sk__28 @ sk__27 ) )
| ( leq @ sk__29 @ n2 )
| ( ( a_select3 @ pminus_ds1_filter @ sk__31 @ sk__32 )
!= ( a_select3 @ pminus_ds1_filter @ sk__32 @ sk__31 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl242,zip_derived_cl2491]) ).
thf(zip_derived_cl8398,plain,
( ~ ( leq @ sk__28 @ n5 )
| ~ ( leq @ n0 @ sk__28 )
| ~ ( leq @ n0 @ sk__27 )
| ~ ( leq @ sk__27 @ n5 )
| ( ( a_select3 @ q_ds1_filter @ sk__27 @ sk__28 )
!= ( a_select3 @ q_ds1_filter @ sk__27 @ sk__28 ) )
| ( leq @ sk__29 @ n2 )
| ( ( a_select3 @ pminus_ds1_filter @ sk__31 @ sk__32 )
!= ( a_select3 @ pminus_ds1_filter @ sk__32 @ sk__31 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl5518,zip_derived_cl5078]) ).
thf(zip_derived_cl8428,plain,
( ( ( a_select3 @ pminus_ds1_filter @ sk__31 @ sk__32 )
!= ( a_select3 @ pminus_ds1_filter @ sk__32 @ sk__31 ) )
| ( leq @ sk__29 @ n2 )
| ~ ( leq @ sk__27 @ n5 )
| ~ ( leq @ n0 @ sk__27 )
| ~ ( leq @ n0 @ sk__28 )
| ~ ( leq @ sk__28 @ n5 ) ),
inference(simplify,[status(thm)],[zip_derived_cl8398]) ).
thf(zip_derived_cl142,plain,
( ( leq @ sk__27 @ ( minus @ n6 @ n1 ) )
| ( leq @ sk__29 @ ( minus @ n3 @ n1 ) )
| ( ( a_select3 @ pminus_ds1_filter @ sk__31 @ sk__32 )
!= ( a_select3 @ pminus_ds1_filter @ sk__32 @ sk__31 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2491_132,plain,
( ( minus @ n3 @ n1 )
= n2 ),
inference('s_sup+',[status(thm)],[zip_derived_cl2479,zip_derived_cl98]) ).
thf(zip_derived_cl3329,plain,
( ( leq @ sk__27 @ ( minus @ n6 @ n1 ) )
| ( leq @ sk__29 @ n2 )
| ( ( a_select3 @ pminus_ds1_filter @ sk__31 @ sk__32 )
!= ( a_select3 @ pminus_ds1_filter @ sk__32 @ sk__31 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl142,zip_derived_cl2491]) ).
thf(zip_derived_cl5436_133,plain,
( ( minus @ n6 @ n1 )
= n5 ),
inference('s_sup+',[status(thm)],[zip_derived_cl5405,zip_derived_cl2228]) ).
thf(zip_derived_cl5573,plain,
( ( leq @ sk__27 @ n5 )
| ( leq @ sk__29 @ n2 )
| ( ( a_select3 @ pminus_ds1_filter @ sk__31 @ sk__32 )
!= ( a_select3 @ pminus_ds1_filter @ sk__32 @ sk__31 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3329,zip_derived_cl5436]) ).
thf(zip_derived_cl42545,plain,
( ~ ( leq @ sk__28 @ n5 )
| ~ ( leq @ n0 @ sk__28 )
| ~ ( leq @ n0 @ sk__27 )
| ( leq @ sk__29 @ n2 )
| ( ( a_select3 @ pminus_ds1_filter @ sk__31 @ sk__32 )
!= ( a_select3 @ pminus_ds1_filter @ sk__32 @ sk__31 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl8428,zip_derived_cl5573]) ).
thf(zip_derived_cl217,plain,
( ( leq @ sk__28 @ ( minus @ n6 @ n1 ) )
| ( leq @ sk__29 @ ( minus @ n3 @ n1 ) )
| ( ( a_select3 @ pminus_ds1_filter @ sk__31 @ sk__32 )
!= ( a_select3 @ pminus_ds1_filter @ sk__32 @ sk__31 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2491_134,plain,
( ( minus @ n3 @ n1 )
= n2 ),
inference('s_sup+',[status(thm)],[zip_derived_cl2479,zip_derived_cl98]) ).
thf(zip_derived_cl4866,plain,
( ( leq @ sk__28 @ ( minus @ n6 @ n1 ) )
| ( leq @ sk__29 @ n2 )
| ( ( a_select3 @ pminus_ds1_filter @ sk__31 @ sk__32 )
!= ( a_select3 @ pminus_ds1_filter @ sk__32 @ sk__31 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl217,zip_derived_cl2491]) ).
thf(zip_derived_cl5436_135,plain,
( ( minus @ n6 @ n1 )
= n5 ),
inference('s_sup+',[status(thm)],[zip_derived_cl5405,zip_derived_cl2228]) ).
thf(zip_derived_cl5603,plain,
( ( leq @ sk__28 @ n5 )
| ( leq @ sk__29 @ n2 )
| ( ( a_select3 @ pminus_ds1_filter @ sk__31 @ sk__32 )
!= ( a_select3 @ pminus_ds1_filter @ sk__32 @ sk__31 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4866,zip_derived_cl5436]) ).
thf(zip_derived_cl42546,plain,
( ( ( a_select3 @ pminus_ds1_filter @ sk__31 @ sk__32 )
!= ( a_select3 @ pminus_ds1_filter @ sk__32 @ sk__31 ) )
| ( leq @ sk__29 @ n2 )
| ~ ( leq @ n0 @ sk__27 )
| ~ ( leq @ n0 @ sk__28 ) ),
inference(clc,[status(thm)],[zip_derived_cl42545,zip_derived_cl5603]) ).
thf(zip_derived_cl6704_136,plain,
( ( ( a_select3 @ pminus_ds1_filter @ sk__31 @ sk__32 )
!= ( a_select3 @ pminus_ds1_filter @ sk__32 @ sk__31 ) )
| ( leq @ n0 @ sk__27 ) ),
inference(clc,[status(thm)],[zip_derived_cl6703,zip_derived_cl157]) ).
thf(zip_derived_cl42547,plain,
( ~ ( leq @ n0 @ sk__28 )
| ( leq @ sk__29 @ n2 )
| ( ( a_select3 @ pminus_ds1_filter @ sk__31 @ sk__32 )
!= ( a_select3 @ pminus_ds1_filter @ sk__32 @ sk__31 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl42546,zip_derived_cl6704]) ).
thf(zip_derived_cl7030_137,plain,
( ( ( a_select3 @ pminus_ds1_filter @ sk__31 @ sk__32 )
!= ( a_select3 @ pminus_ds1_filter @ sk__32 @ sk__31 ) )
| ( leq @ n0 @ sk__28 ) ),
inference(clc,[status(thm)],[zip_derived_cl7029,zip_derived_cl182]) ).
thf(zip_derived_cl42548,plain,
( ( ( a_select3 @ pminus_ds1_filter @ sk__31 @ sk__32 )
!= ( a_select3 @ pminus_ds1_filter @ sk__32 @ sk__31 ) )
| ( leq @ sk__29 @ n2 ) ),
inference(clc,[status(thm)],[zip_derived_cl42547,zip_derived_cl7030]) ).
thf(zip_derived_cl42549,plain,
( ~ ( leq @ sk__32 @ n5 )
| ~ ( leq @ n0 @ sk__32 )
| ~ ( leq @ n0 @ sk__31 )
| ~ ( leq @ sk__31 @ n5 )
| ( ( a_select3 @ pminus_ds1_filter @ sk__31 @ sk__32 )
!= ( a_select3 @ pminus_ds1_filter @ sk__31 @ sk__32 ) )
| ( leq @ sk__29 @ n2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl5519,zip_derived_cl42548]) ).
thf(zip_derived_cl42551,plain,
( ( leq @ sk__29 @ n2 )
| ~ ( leq @ sk__31 @ n5 )
| ~ ( leq @ n0 @ sk__31 )
| ~ ( leq @ n0 @ sk__32 )
| ~ ( leq @ sk__32 @ n5 ) ),
inference(simplify,[status(thm)],[zip_derived_cl42549]) ).
thf(zip_derived_cl2712_138,plain,
! [X2: $i,X3: $i] :
( ~ ( leq @ X2 @ n2 )
| ~ ( leq @ n0 @ X2 )
| ~ ( leq @ n0 @ X3 )
| ~ ( leq @ X3 @ n2 )
| ( ( a_select3 @ r_ds1_filter @ X2 @ X3 )
= ( a_select3 @ r_ds1_filter @ X3 @ X2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl120,zip_derived_cl2491,zip_derived_cl2491]) ).
thf(zip_derived_cl5523_139,plain,
( ( leq @ sk__27 @ n5 )
| ( ( a_select3 @ r_ds1_filter @ sk__29 @ sk__30 )
!= ( a_select3 @ r_ds1_filter @ sk__30 @ sk__29 ) )
| ( leq @ n0 @ sk__31 ) ),
inference(demod,[status(thm)],[zip_derived_cl125,zip_derived_cl5436]) ).
thf(zip_derived_cl8530,plain,
( ~ ( leq @ sk__30 @ n2 )
| ~ ( leq @ n0 @ sk__30 )
| ~ ( leq @ n0 @ sk__29 )
| ~ ( leq @ sk__29 @ n2 )
| ( leq @ sk__27 @ n5 )
| ( ( a_select3 @ r_ds1_filter @ sk__29 @ sk__30 )
!= ( a_select3 @ r_ds1_filter @ sk__29 @ sk__30 ) )
| ( leq @ n0 @ sk__31 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2712,zip_derived_cl5523]) ).
thf(zip_derived_cl8532,plain,
( ( leq @ n0 @ sk__31 )
| ( leq @ sk__27 @ n5 )
| ~ ( leq @ sk__29 @ n2 )
| ~ ( leq @ n0 @ sk__29 )
| ~ ( leq @ n0 @ sk__30 )
| ~ ( leq @ sk__30 @ n2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl8530]) ).
thf(zip_derived_cl2712_140,plain,
! [X2: $i,X3: $i] :
( ~ ( leq @ X2 @ n2 )
| ~ ( leq @ n0 @ X2 )
| ~ ( leq @ n0 @ X3 )
| ~ ( leq @ X3 @ n2 )
| ( ( a_select3 @ r_ds1_filter @ X2 @ X3 )
= ( a_select3 @ r_ds1_filter @ X3 @ X2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl120,zip_derived_cl2491,zip_derived_cl2491]) ).
thf(zip_derived_cl9766_141,plain,
( ( leq @ n0 @ sk__31 )
| ( ( a_select3 @ r_ds1_filter @ sk__29 @ sk__30 )
!= ( a_select3 @ r_ds1_filter @ sk__30 @ sk__29 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl9765,zip_derived_cl7137]) ).
thf(zip_derived_cl9767,plain,
( ~ ( leq @ sk__30 @ n2 )
| ~ ( leq @ n0 @ sk__30 )
| ~ ( leq @ n0 @ sk__29 )
| ~ ( leq @ sk__29 @ n2 )
| ( leq @ n0 @ sk__31 )
| ( ( a_select3 @ r_ds1_filter @ sk__29 @ sk__30 )
!= ( a_select3 @ r_ds1_filter @ sk__29 @ sk__30 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2712,zip_derived_cl9766]) ).
thf(zip_derived_cl9769,plain,
( ( leq @ n0 @ sk__31 )
| ~ ( leq @ sk__29 @ n2 )
| ~ ( leq @ n0 @ sk__29 )
| ~ ( leq @ n0 @ sk__30 )
| ~ ( leq @ sk__30 @ n2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl9767]) ).
thf(zip_derived_cl44348,plain,
( ~ ( leq @ sk__30 @ n2 )
| ~ ( leq @ n0 @ sk__30 )
| ~ ( leq @ n0 @ sk__29 )
| ~ ( leq @ sk__29 @ n2 )
| ( leq @ n0 @ sk__31 ) ),
inference(clc,[status(thm)],[zip_derived_cl8532,zip_derived_cl9769]) ).
thf(zip_derived_cl5518_142,plain,
! [X0: $i,X1: $i] :
( ~ ( leq @ X0 @ n5 )
| ~ ( leq @ n0 @ X0 )
| ~ ( leq @ n0 @ X1 )
| ~ ( leq @ X1 @ n5 )
| ( ( a_select3 @ q_ds1_filter @ X0 @ X1 )
= ( a_select3 @ q_ds1_filter @ X1 @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl119,zip_derived_cl5436,zip_derived_cl5436]) ).
thf(zip_derived_cl230,plain,
( ( ( a_select3 @ q_ds1_filter @ sk__27 @ sk__28 )
!= ( a_select3 @ q_ds1_filter @ sk__28 @ sk__27 ) )
| ( leq @ sk__30 @ ( minus @ n3 @ n1 ) )
| ( leq @ n0 @ sk__31 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2491_143,plain,
( ( minus @ n3 @ n1 )
= n2 ),
inference('s_sup+',[status(thm)],[zip_derived_cl2479,zip_derived_cl98]) ).
thf(zip_derived_cl4973,plain,
( ( ( a_select3 @ q_ds1_filter @ sk__27 @ sk__28 )
!= ( a_select3 @ q_ds1_filter @ sk__28 @ sk__27 ) )
| ( leq @ sk__30 @ n2 )
| ( leq @ n0 @ sk__31 ) ),
inference(demod,[status(thm)],[zip_derived_cl230,zip_derived_cl2491]) ).
thf(zip_derived_cl8397,plain,
( ~ ( leq @ sk__28 @ n5 )
| ~ ( leq @ n0 @ sk__28 )
| ~ ( leq @ n0 @ sk__27 )
| ~ ( leq @ sk__27 @ n5 )
| ( ( a_select3 @ q_ds1_filter @ sk__27 @ sk__28 )
!= ( a_select3 @ q_ds1_filter @ sk__27 @ sk__28 ) )
| ( leq @ sk__30 @ n2 )
| ( leq @ n0 @ sk__31 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl5518,zip_derived_cl4973]) ).
thf(zip_derived_cl8427,plain,
( ( leq @ n0 @ sk__31 )
| ( leq @ sk__30 @ n2 )
| ~ ( leq @ sk__27 @ n5 )
| ~ ( leq @ n0 @ sk__27 )
| ~ ( leq @ n0 @ sk__28 )
| ~ ( leq @ sk__28 @ n5 ) ),
inference(simplify,[status(thm)],[zip_derived_cl8397]) ).
thf(zip_derived_cl130,plain,
( ( leq @ sk__27 @ ( minus @ n6 @ n1 ) )
| ( leq @ sk__30 @ ( minus @ n3 @ n1 ) )
| ( leq @ n0 @ sk__31 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2491_144,plain,
( ( minus @ n3 @ n1 )
= n2 ),
inference('s_sup+',[status(thm)],[zip_derived_cl2479,zip_derived_cl98]) ).
thf(zip_derived_cl3033,plain,
( ( leq @ sk__27 @ ( minus @ n6 @ n1 ) )
| ( leq @ sk__30 @ n2 )
| ( leq @ n0 @ sk__31 ) ),
inference(demod,[status(thm)],[zip_derived_cl130,zip_derived_cl2491]) ).
thf(zip_derived_cl5436_145,plain,
( ( minus @ n6 @ n1 )
= n5 ),
inference('s_sup+',[status(thm)],[zip_derived_cl5405,zip_derived_cl2228]) ).
thf(zip_derived_cl5571,plain,
( ( leq @ sk__27 @ n5 )
| ( leq @ sk__30 @ n2 )
| ( leq @ n0 @ sk__31 ) ),
inference(demod,[status(thm)],[zip_derived_cl3033,zip_derived_cl5436]) ).
thf(zip_derived_cl42508,plain,
( ~ ( leq @ sk__28 @ n5 )
| ~ ( leq @ n0 @ sk__28 )
| ~ ( leq @ n0 @ sk__27 )
| ( leq @ sk__30 @ n2 )
| ( leq @ n0 @ sk__31 ) ),
inference(clc,[status(thm)],[zip_derived_cl8427,zip_derived_cl5571]) ).
thf(zip_derived_cl205,plain,
( ( leq @ sk__28 @ ( minus @ n6 @ n1 ) )
| ( leq @ sk__30 @ ( minus @ n3 @ n1 ) )
| ( leq @ n0 @ sk__31 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2491_146,plain,
( ( minus @ n3 @ n1 )
= n2 ),
inference('s_sup+',[status(thm)],[zip_derived_cl2479,zip_derived_cl98]) ).
thf(zip_derived_cl4710,plain,
( ( leq @ sk__28 @ ( minus @ n6 @ n1 ) )
| ( leq @ sk__30 @ n2 )
| ( leq @ n0 @ sk__31 ) ),
inference(demod,[status(thm)],[zip_derived_cl205,zip_derived_cl2491]) ).
thf(zip_derived_cl5436_147,plain,
( ( minus @ n6 @ n1 )
= n5 ),
inference('s_sup+',[status(thm)],[zip_derived_cl5405,zip_derived_cl2228]) ).
thf(zip_derived_cl5601,plain,
( ( leq @ sk__28 @ n5 )
| ( leq @ sk__30 @ n2 )
| ( leq @ n0 @ sk__31 ) ),
inference(demod,[status(thm)],[zip_derived_cl4710,zip_derived_cl5436]) ).
thf(zip_derived_cl42509,plain,
( ( leq @ n0 @ sk__31 )
| ( leq @ sk__30 @ n2 )
| ~ ( leq @ n0 @ sk__27 )
| ~ ( leq @ n0 @ sk__28 ) ),
inference(clc,[status(thm)],[zip_derived_cl42508,zip_derived_cl5601]) ).
thf(zip_derived_cl20239_148,plain,
( ( leq @ sk__30 @ n2 )
| ( leq @ n0 @ sk__27 ) ),
inference(clc,[status(thm)],[zip_derived_cl9431,zip_derived_cl5578]) ).
thf(zip_derived_cl42510,plain,
( ~ ( leq @ n0 @ sk__28 )
| ( leq @ sk__30 @ n2 )
| ( leq @ n0 @ sk__31 ) ),
inference(clc,[status(thm)],[zip_derived_cl42509,zip_derived_cl20239]) ).
thf(zip_derived_cl20502_149,plain,
( ( leq @ sk__30 @ n2 )
| ( leq @ n0 @ sk__28 ) ),
inference(clc,[status(thm)],[zip_derived_cl9547,zip_derived_cl5582]) ).
thf(zip_derived_cl42511,plain,
( ( leq @ n0 @ sk__31 )
| ( leq @ sk__30 @ n2 ) ),
inference(clc,[status(thm)],[zip_derived_cl42510,zip_derived_cl20502]) ).
thf(zip_derived_cl44349,plain,
( ( leq @ n0 @ sk__31 )
| ~ ( leq @ sk__29 @ n2 )
| ~ ( leq @ n0 @ sk__29 )
| ~ ( leq @ n0 @ sk__30 ) ),
inference(clc,[status(thm)],[zip_derived_cl44348,zip_derived_cl42511]) ).
thf(zip_derived_cl5518_150,plain,
! [X0: $i,X1: $i] :
( ~ ( leq @ X0 @ n5 )
| ~ ( leq @ n0 @ X0 )
| ~ ( leq @ n0 @ X1 )
| ~ ( leq @ X1 @ n5 )
| ( ( a_select3 @ q_ds1_filter @ X0 @ X1 )
= ( a_select3 @ q_ds1_filter @ X1 @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl119,zip_derived_cl5436,zip_derived_cl5436]) ).
thf(zip_derived_cl245,plain,
( ( ( a_select3 @ q_ds1_filter @ sk__27 @ sk__28 )
!= ( a_select3 @ q_ds1_filter @ sk__28 @ sk__27 ) )
| ( leq @ sk__29 @ ( minus @ n3 @ n1 ) )
| ( leq @ n0 @ sk__31 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2491_151,plain,
( ( minus @ n3 @ n1 )
= n2 ),
inference('s_sup+',[status(thm)],[zip_derived_cl2479,zip_derived_cl98]) ).
thf(zip_derived_cl5116,plain,
( ( ( a_select3 @ q_ds1_filter @ sk__27 @ sk__28 )
!= ( a_select3 @ q_ds1_filter @ sk__28 @ sk__27 ) )
| ( leq @ sk__29 @ n2 )
| ( leq @ n0 @ sk__31 ) ),
inference(demod,[status(thm)],[zip_derived_cl245,zip_derived_cl2491]) ).
thf(zip_derived_cl8400,plain,
( ~ ( leq @ sk__28 @ n5 )
| ~ ( leq @ n0 @ sk__28 )
| ~ ( leq @ n0 @ sk__27 )
| ~ ( leq @ sk__27 @ n5 )
| ( ( a_select3 @ q_ds1_filter @ sk__27 @ sk__28 )
!= ( a_select3 @ q_ds1_filter @ sk__27 @ sk__28 ) )
| ( leq @ sk__29 @ n2 )
| ( leq @ n0 @ sk__31 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl5518,zip_derived_cl5116]) ).
thf(zip_derived_cl8430,plain,
( ( leq @ n0 @ sk__31 )
| ( leq @ sk__29 @ n2 )
| ~ ( leq @ sk__27 @ n5 )
| ~ ( leq @ n0 @ sk__27 )
| ~ ( leq @ n0 @ sk__28 )
| ~ ( leq @ sk__28 @ n5 ) ),
inference(simplify,[status(thm)],[zip_derived_cl8400]) ).
thf(zip_derived_cl145,plain,
( ( leq @ sk__27 @ ( minus @ n6 @ n1 ) )
| ( leq @ sk__29 @ ( minus @ n3 @ n1 ) )
| ( leq @ n0 @ sk__31 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2491_152,plain,
( ( minus @ n3 @ n1 )
= n2 ),
inference('s_sup+',[status(thm)],[zip_derived_cl2479,zip_derived_cl98]) ).
thf(zip_derived_cl3446,plain,
( ( leq @ sk__27 @ ( minus @ n6 @ n1 ) )
| ( leq @ sk__29 @ n2 )
| ( leq @ n0 @ sk__31 ) ),
inference(demod,[status(thm)],[zip_derived_cl145,zip_derived_cl2491]) ).
thf(zip_derived_cl5436_153,plain,
( ( minus @ n6 @ n1 )
= n5 ),
inference('s_sup+',[status(thm)],[zip_derived_cl5405,zip_derived_cl2228]) ).
thf(zip_derived_cl5576,plain,
( ( leq @ sk__27 @ n5 )
| ( leq @ sk__29 @ n2 )
| ( leq @ n0 @ sk__31 ) ),
inference(demod,[status(thm)],[zip_derived_cl3446,zip_derived_cl5436]) ).
thf(zip_derived_cl42741,plain,
( ~ ( leq @ sk__28 @ n5 )
| ~ ( leq @ n0 @ sk__28 )
| ~ ( leq @ n0 @ sk__27 )
| ( leq @ sk__29 @ n2 )
| ( leq @ n0 @ sk__31 ) ),
inference(clc,[status(thm)],[zip_derived_cl8430,zip_derived_cl5576]) ).
thf(zip_derived_cl220,plain,
( ( leq @ sk__28 @ ( minus @ n6 @ n1 ) )
| ( leq @ sk__29 @ ( minus @ n3 @ n1 ) )
| ( leq @ n0 @ sk__31 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2491_154,plain,
( ( minus @ n3 @ n1 )
= n2 ),
inference('s_sup+',[status(thm)],[zip_derived_cl2479,zip_derived_cl98]) ).
thf(zip_derived_cl4895,plain,
( ( leq @ sk__28 @ ( minus @ n6 @ n1 ) )
| ( leq @ sk__29 @ n2 )
| ( leq @ n0 @ sk__31 ) ),
inference(demod,[status(thm)],[zip_derived_cl220,zip_derived_cl2491]) ).
thf(zip_derived_cl5436_155,plain,
( ( minus @ n6 @ n1 )
= n5 ),
inference('s_sup+',[status(thm)],[zip_derived_cl5405,zip_derived_cl2228]) ).
thf(zip_derived_cl5606,plain,
( ( leq @ sk__28 @ n5 )
| ( leq @ sk__29 @ n2 )
| ( leq @ n0 @ sk__31 ) ),
inference(demod,[status(thm)],[zip_derived_cl4895,zip_derived_cl5436]) ).
thf(zip_derived_cl42742,plain,
( ( leq @ n0 @ sk__31 )
| ( leq @ sk__29 @ n2 )
| ~ ( leq @ n0 @ sk__27 )
| ~ ( leq @ n0 @ sk__28 ) ),
inference(clc,[status(thm)],[zip_derived_cl42741,zip_derived_cl5606]) ).
thf(zip_derived_cl20416_156,plain,
( ( leq @ sk__29 @ n2 )
| ( leq @ n0 @ sk__27 ) ),
inference(clc,[status(thm)],[zip_derived_cl9500,zip_derived_cl5580]) ).
thf(zip_derived_cl42743,plain,
( ~ ( leq @ n0 @ sk__28 )
| ( leq @ sk__29 @ n2 )
| ( leq @ n0 @ sk__31 ) ),
inference(clc,[status(thm)],[zip_derived_cl42742,zip_derived_cl20416]) ).
thf(zip_derived_cl20601_157,plain,
( ( leq @ sk__29 @ n2 )
| ( leq @ n0 @ sk__28 ) ),
inference(clc,[status(thm)],[zip_derived_cl9576,zip_derived_cl5594]) ).
thf(zip_derived_cl42744,plain,
( ( leq @ n0 @ sk__31 )
| ( leq @ sk__29 @ n2 ) ),
inference(clc,[status(thm)],[zip_derived_cl42743,zip_derived_cl20601]) ).
thf(zip_derived_cl44350,plain,
( ~ ( leq @ n0 @ sk__30 )
| ~ ( leq @ n0 @ sk__29 )
| ( leq @ n0 @ sk__31 ) ),
inference(clc,[status(thm)],[zip_derived_cl44349,zip_derived_cl42744]) ).
thf(zip_derived_cl5518_158,plain,
! [X0: $i,X1: $i] :
( ~ ( leq @ X0 @ n5 )
| ~ ( leq @ n0 @ X0 )
| ~ ( leq @ n0 @ X1 )
| ~ ( leq @ X1 @ n5 )
| ( ( a_select3 @ q_ds1_filter @ X0 @ X1 )
= ( a_select3 @ q_ds1_filter @ X1 @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl119,zip_derived_cl5436,zip_derived_cl5436]) ).
thf(zip_derived_cl235,plain,
( ( ( a_select3 @ q_ds1_filter @ sk__27 @ sk__28 )
!= ( a_select3 @ q_ds1_filter @ sk__28 @ sk__27 ) )
| ( leq @ n0 @ sk__30 )
| ( leq @ n0 @ sk__31 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl8391,plain,
( ~ ( leq @ sk__28 @ n5 )
| ~ ( leq @ n0 @ sk__28 )
| ~ ( leq @ n0 @ sk__27 )
| ~ ( leq @ sk__27 @ n5 )
| ( ( a_select3 @ q_ds1_filter @ sk__27 @ sk__28 )
!= ( a_select3 @ q_ds1_filter @ sk__27 @ sk__28 ) )
| ( leq @ n0 @ sk__30 )
| ( leq @ n0 @ sk__31 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl5518,zip_derived_cl235]) ).
thf(zip_derived_cl8421,plain,
( ( leq @ n0 @ sk__31 )
| ( leq @ n0 @ sk__30 )
| ~ ( leq @ sk__27 @ n5 )
| ~ ( leq @ n0 @ sk__27 )
| ~ ( leq @ n0 @ sk__28 )
| ~ ( leq @ sk__28 @ n5 ) ),
inference(simplify,[status(thm)],[zip_derived_cl8391]) ).
thf(zip_derived_cl135,plain,
( ( leq @ sk__27 @ ( minus @ n6 @ n1 ) )
| ( leq @ n0 @ sk__30 )
| ( leq @ n0 @ sk__31 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl5436_159,plain,
( ( minus @ n6 @ n1 )
= n5 ),
inference('s_sup+',[status(thm)],[zip_derived_cl5405,zip_derived_cl2228]) ).
thf(zip_derived_cl5528,plain,
( ( leq @ sk__27 @ n5 )
| ( leq @ n0 @ sk__30 )
| ( leq @ n0 @ sk__31 ) ),
inference(demod,[status(thm)],[zip_derived_cl135,zip_derived_cl5436]) ).
thf(zip_derived_cl40979,plain,
( ~ ( leq @ sk__28 @ n5 )
| ~ ( leq @ n0 @ sk__28 )
| ~ ( leq @ n0 @ sk__27 )
| ( leq @ n0 @ sk__30 )
| ( leq @ n0 @ sk__31 ) ),
inference(clc,[status(thm)],[zip_derived_cl8421,zip_derived_cl5528]) ).
thf(zip_derived_cl210,plain,
( ( leq @ sk__28 @ ( minus @ n6 @ n1 ) )
| ( leq @ n0 @ sk__30 )
| ( leq @ n0 @ sk__31 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl5436_160,plain,
( ( minus @ n6 @ n1 )
= n5 ),
inference('s_sup+',[status(thm)],[zip_derived_cl5405,zip_derived_cl2228]) ).
thf(zip_derived_cl5555,plain,
( ( leq @ sk__28 @ n5 )
| ( leq @ n0 @ sk__30 )
| ( leq @ n0 @ sk__31 ) ),
inference(demod,[status(thm)],[zip_derived_cl210,zip_derived_cl5436]) ).
thf(zip_derived_cl40980,plain,
( ( leq @ n0 @ sk__31 )
| ( leq @ n0 @ sk__30 )
| ~ ( leq @ n0 @ sk__27 )
| ~ ( leq @ n0 @ sk__28 ) ),
inference(clc,[status(thm)],[zip_derived_cl40979,zip_derived_cl5555]) ).
thf(zip_derived_cl16677_161,plain,
( ( leq @ n0 @ sk__30 )
| ( leq @ n0 @ sk__27 ) ),
inference(clc,[status(thm)],[zip_derived_cl8793,zip_derived_cl5537]) ).
thf(zip_derived_cl40981,plain,
( ~ ( leq @ n0 @ sk__28 )
| ( leq @ n0 @ sk__30 )
| ( leq @ n0 @ sk__31 ) ),
inference(clc,[status(thm)],[zip_derived_cl40980,zip_derived_cl16677]) ).
thf(zip_derived_cl18075_162,plain,
( ( leq @ n0 @ sk__30 )
| ( leq @ n0 @ sk__28 ) ),
inference(clc,[status(thm)],[zip_derived_cl8949,zip_derived_cl5543]) ).
thf(zip_derived_cl40982,plain,
( ( leq @ n0 @ sk__31 )
| ( leq @ n0 @ sk__30 ) ),
inference(clc,[status(thm)],[zip_derived_cl40981,zip_derived_cl18075]) ).
thf(zip_derived_cl44351,plain,
( ( leq @ n0 @ sk__31 )
| ~ ( leq @ n0 @ sk__29 ) ),
inference(clc,[status(thm)],[zip_derived_cl44350,zip_derived_cl40982]) ).
thf(zip_derived_cl5518_163,plain,
! [X0: $i,X1: $i] :
( ~ ( leq @ X0 @ n5 )
| ~ ( leq @ n0 @ X0 )
| ~ ( leq @ n0 @ X1 )
| ~ ( leq @ X1 @ n5 )
| ( ( a_select3 @ q_ds1_filter @ X0 @ X1 )
= ( a_select3 @ q_ds1_filter @ X1 @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl119,zip_derived_cl5436,zip_derived_cl5436]) ).
thf(zip_derived_cl240,plain,
( ( ( a_select3 @ q_ds1_filter @ sk__27 @ sk__28 )
!= ( a_select3 @ q_ds1_filter @ sk__28 @ sk__27 ) )
| ( leq @ n0 @ sk__29 )
| ( leq @ n0 @ sk__31 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl8394,plain,
( ~ ( leq @ sk__28 @ n5 )
| ~ ( leq @ n0 @ sk__28 )
| ~ ( leq @ n0 @ sk__27 )
| ~ ( leq @ sk__27 @ n5 )
| ( ( a_select3 @ q_ds1_filter @ sk__27 @ sk__28 )
!= ( a_select3 @ q_ds1_filter @ sk__27 @ sk__28 ) )
| ( leq @ n0 @ sk__29 )
| ( leq @ n0 @ sk__31 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl5518,zip_derived_cl240]) ).
thf(zip_derived_cl8424,plain,
( ( leq @ n0 @ sk__31 )
| ( leq @ n0 @ sk__29 )
| ~ ( leq @ sk__27 @ n5 )
| ~ ( leq @ n0 @ sk__27 )
| ~ ( leq @ n0 @ sk__28 )
| ~ ( leq @ sk__28 @ n5 ) ),
inference(simplify,[status(thm)],[zip_derived_cl8394]) ).
thf(zip_derived_cl140,plain,
( ( leq @ sk__27 @ ( minus @ n6 @ n1 ) )
| ( leq @ n0 @ sk__29 )
| ( leq @ n0 @ sk__31 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl5436_164,plain,
( ( minus @ n6 @ n1 )
= n5 ),
inference('s_sup+',[status(thm)],[zip_derived_cl5405,zip_derived_cl2228]) ).
thf(zip_derived_cl5533,plain,
( ( leq @ sk__27 @ n5 )
| ( leq @ n0 @ sk__29 )
| ( leq @ n0 @ sk__31 ) ),
inference(demod,[status(thm)],[zip_derived_cl140,zip_derived_cl5436]) ).
thf(zip_derived_cl41440,plain,
( ~ ( leq @ sk__28 @ n5 )
| ~ ( leq @ n0 @ sk__28 )
| ~ ( leq @ n0 @ sk__27 )
| ( leq @ n0 @ sk__29 )
| ( leq @ n0 @ sk__31 ) ),
inference(clc,[status(thm)],[zip_derived_cl8424,zip_derived_cl5533]) ).
thf(zip_derived_cl215,plain,
( ( leq @ sk__28 @ ( minus @ n6 @ n1 ) )
| ( leq @ n0 @ sk__29 )
| ( leq @ n0 @ sk__31 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl5436_165,plain,
( ( minus @ n6 @ n1 )
= n5 ),
inference('s_sup+',[status(thm)],[zip_derived_cl5405,zip_derived_cl2228]) ).
thf(zip_derived_cl5560,plain,
( ( leq @ sk__28 @ n5 )
| ( leq @ n0 @ sk__29 )
| ( leq @ n0 @ sk__31 ) ),
inference(demod,[status(thm)],[zip_derived_cl215,zip_derived_cl5436]) ).
thf(zip_derived_cl41441,plain,
( ( leq @ n0 @ sk__31 )
| ( leq @ n0 @ sk__29 )
| ~ ( leq @ n0 @ sk__27 )
| ~ ( leq @ n0 @ sk__28 ) ),
inference(clc,[status(thm)],[zip_derived_cl41440,zip_derived_cl5560]) ).
thf(zip_derived_cl17174_166,plain,
( ( leq @ n0 @ sk__29 )
| ( leq @ n0 @ sk__27 ) ),
inference(clc,[status(thm)],[zip_derived_cl8810,zip_derived_cl5539]) ).
thf(zip_derived_cl41442,plain,
( ~ ( leq @ n0 @ sk__28 )
| ( leq @ n0 @ sk__29 )
| ( leq @ n0 @ sk__31 ) ),
inference(clc,[status(thm)],[zip_derived_cl41441,zip_derived_cl17174]) ).
thf(zip_derived_cl18475_167,plain,
( ( leq @ n0 @ sk__29 )
| ( leq @ n0 @ sk__28 ) ),
inference(clc,[status(thm)],[zip_derived_cl8987,zip_derived_cl5545]) ).
thf(zip_derived_cl41443,plain,
( ( leq @ n0 @ sk__31 )
| ( leq @ n0 @ sk__29 ) ),
inference(clc,[status(thm)],[zip_derived_cl41442,zip_derived_cl18475]) ).
thf(zip_derived_cl44352,plain,
leq @ n0 @ sk__31,
inference(clc,[status(thm)],[zip_derived_cl44351,zip_derived_cl41443]) ).
thf(zip_derived_cl2712_168,plain,
! [X2: $i,X3: $i] :
( ~ ( leq @ X2 @ n2 )
| ~ ( leq @ n0 @ X2 )
| ~ ( leq @ n0 @ X3 )
| ~ ( leq @ X3 @ n2 )
| ( ( a_select3 @ r_ds1_filter @ X2 @ X3 )
= ( a_select3 @ r_ds1_filter @ X3 @ X2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl120,zip_derived_cl2491,zip_derived_cl2491]) ).
thf(zip_derived_cl5522_169,plain,
( ( leq @ sk__27 @ n5 )
| ( ( a_select3 @ r_ds1_filter @ sk__29 @ sk__30 )
!= ( a_select3 @ r_ds1_filter @ sk__30 @ sk__29 ) )
| ( leq @ n0 @ sk__32 ) ),
inference(demod,[status(thm)],[zip_derived_cl124,zip_derived_cl5436]) ).
thf(zip_derived_cl8526,plain,
( ~ ( leq @ sk__30 @ n2 )
| ~ ( leq @ n0 @ sk__30 )
| ~ ( leq @ n0 @ sk__29 )
| ~ ( leq @ sk__29 @ n2 )
| ( leq @ sk__27 @ n5 )
| ( ( a_select3 @ r_ds1_filter @ sk__29 @ sk__30 )
!= ( a_select3 @ r_ds1_filter @ sk__29 @ sk__30 ) )
| ( leq @ n0 @ sk__32 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2712,zip_derived_cl5522]) ).
thf(zip_derived_cl8528,plain,
( ( leq @ n0 @ sk__32 )
| ( leq @ sk__27 @ n5 )
| ~ ( leq @ sk__29 @ n2 )
| ~ ( leq @ n0 @ sk__29 )
| ~ ( leq @ n0 @ sk__30 )
| ~ ( leq @ sk__30 @ n2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl8526]) ).
thf(zip_derived_cl2712_170,plain,
! [X2: $i,X3: $i] :
( ~ ( leq @ X2 @ n2 )
| ~ ( leq @ n0 @ X2 )
| ~ ( leq @ n0 @ X3 )
| ~ ( leq @ X3 @ n2 )
| ( ( a_select3 @ r_ds1_filter @ X2 @ X3 )
= ( a_select3 @ r_ds1_filter @ X3 @ X2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl120,zip_derived_cl2491,zip_derived_cl2491]) ).
thf(zip_derived_cl9485_171,plain,
( ( leq @ n0 @ sk__32 )
| ( ( a_select3 @ r_ds1_filter @ sk__29 @ sk__30 )
!= ( a_select3 @ r_ds1_filter @ sk__30 @ sk__29 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl9484,zip_derived_cl7074]) ).
thf(zip_derived_cl9486,plain,
( ~ ( leq @ sk__30 @ n2 )
| ~ ( leq @ n0 @ sk__30 )
| ~ ( leq @ n0 @ sk__29 )
| ~ ( leq @ sk__29 @ n2 )
| ( leq @ n0 @ sk__32 )
| ( ( a_select3 @ r_ds1_filter @ sk__29 @ sk__30 )
!= ( a_select3 @ r_ds1_filter @ sk__29 @ sk__30 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2712,zip_derived_cl9485]) ).
thf(zip_derived_cl9488,plain,
( ( leq @ n0 @ sk__32 )
| ~ ( leq @ sk__29 @ n2 )
| ~ ( leq @ n0 @ sk__29 )
| ~ ( leq @ n0 @ sk__30 )
| ~ ( leq @ sk__30 @ n2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl9486]) ).
thf(zip_derived_cl43953,plain,
( ~ ( leq @ sk__30 @ n2 )
| ~ ( leq @ n0 @ sk__30 )
| ~ ( leq @ n0 @ sk__29 )
| ~ ( leq @ sk__29 @ n2 )
| ( leq @ n0 @ sk__32 ) ),
inference(clc,[status(thm)],[zip_derived_cl8528,zip_derived_cl9488]) ).
thf(zip_derived_cl5518_172,plain,
! [X0: $i,X1: $i] :
( ~ ( leq @ X0 @ n5 )
| ~ ( leq @ n0 @ X0 )
| ~ ( leq @ n0 @ X1 )
| ~ ( leq @ X1 @ n5 )
| ( ( a_select3 @ q_ds1_filter @ X0 @ X1 )
= ( a_select3 @ q_ds1_filter @ X1 @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl119,zip_derived_cl5436,zip_derived_cl5436]) ).
thf(zip_derived_cl229,plain,
( ( ( a_select3 @ q_ds1_filter @ sk__27 @ sk__28 )
!= ( a_select3 @ q_ds1_filter @ sk__28 @ sk__27 ) )
| ( leq @ sk__30 @ ( minus @ n3 @ n1 ) )
| ( leq @ n0 @ sk__32 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2491_173,plain,
( ( minus @ n3 @ n1 )
= n2 ),
inference('s_sup+',[status(thm)],[zip_derived_cl2479,zip_derived_cl98]) ).
thf(zip_derived_cl4971,plain,
( ( ( a_select3 @ q_ds1_filter @ sk__27 @ sk__28 )
!= ( a_select3 @ q_ds1_filter @ sk__28 @ sk__27 ) )
| ( leq @ sk__30 @ n2 )
| ( leq @ n0 @ sk__32 ) ),
inference(demod,[status(thm)],[zip_derived_cl229,zip_derived_cl2491]) ).
thf(zip_derived_cl8396,plain,
( ~ ( leq @ sk__28 @ n5 )
| ~ ( leq @ n0 @ sk__28 )
| ~ ( leq @ n0 @ sk__27 )
| ~ ( leq @ sk__27 @ n5 )
| ( ( a_select3 @ q_ds1_filter @ sk__27 @ sk__28 )
!= ( a_select3 @ q_ds1_filter @ sk__27 @ sk__28 ) )
| ( leq @ sk__30 @ n2 )
| ( leq @ n0 @ sk__32 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl5518,zip_derived_cl4971]) ).
thf(zip_derived_cl8426,plain,
( ( leq @ n0 @ sk__32 )
| ( leq @ sk__30 @ n2 )
| ~ ( leq @ sk__27 @ n5 )
| ~ ( leq @ n0 @ sk__27 )
| ~ ( leq @ n0 @ sk__28 )
| ~ ( leq @ sk__28 @ n5 ) ),
inference(simplify,[status(thm)],[zip_derived_cl8396]) ).
thf(zip_derived_cl129,plain,
( ( leq @ sk__27 @ ( minus @ n6 @ n1 ) )
| ( leq @ sk__30 @ ( minus @ n3 @ n1 ) )
| ( leq @ n0 @ sk__32 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2491_174,plain,
( ( minus @ n3 @ n1 )
= n2 ),
inference('s_sup+',[status(thm)],[zip_derived_cl2479,zip_derived_cl98]) ).
thf(zip_derived_cl2930,plain,
( ( leq @ sk__27 @ ( minus @ n6 @ n1 ) )
| ( leq @ sk__30 @ n2 )
| ( leq @ n0 @ sk__32 ) ),
inference(demod,[status(thm)],[zip_derived_cl129,zip_derived_cl2491]) ).
thf(zip_derived_cl5436_175,plain,
( ( minus @ n6 @ n1 )
= n5 ),
inference('s_sup+',[status(thm)],[zip_derived_cl5405,zip_derived_cl2228]) ).
thf(zip_derived_cl5570,plain,
( ( leq @ sk__27 @ n5 )
| ( leq @ sk__30 @ n2 )
| ( leq @ n0 @ sk__32 ) ),
inference(demod,[status(thm)],[zip_derived_cl2930,zip_derived_cl5436]) ).
thf(zip_derived_cl42492,plain,
( ~ ( leq @ sk__28 @ n5 )
| ~ ( leq @ n0 @ sk__28 )
| ~ ( leq @ n0 @ sk__27 )
| ( leq @ sk__30 @ n2 )
| ( leq @ n0 @ sk__32 ) ),
inference(clc,[status(thm)],[zip_derived_cl8426,zip_derived_cl5570]) ).
thf(zip_derived_cl204,plain,
( ( leq @ sk__28 @ ( minus @ n6 @ n1 ) )
| ( leq @ sk__30 @ ( minus @ n3 @ n1 ) )
| ( leq @ n0 @ sk__32 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2491_176,plain,
( ( minus @ n3 @ n1 )
= n2 ),
inference('s_sup+',[status(thm)],[zip_derived_cl2479,zip_derived_cl98]) ).
thf(zip_derived_cl4693,plain,
( ( leq @ sk__28 @ ( minus @ n6 @ n1 ) )
| ( leq @ sk__30 @ n2 )
| ( leq @ n0 @ sk__32 ) ),
inference(demod,[status(thm)],[zip_derived_cl204,zip_derived_cl2491]) ).
thf(zip_derived_cl5436_177,plain,
( ( minus @ n6 @ n1 )
= n5 ),
inference('s_sup+',[status(thm)],[zip_derived_cl5405,zip_derived_cl2228]) ).
thf(zip_derived_cl5600,plain,
( ( leq @ sk__28 @ n5 )
| ( leq @ sk__30 @ n2 )
| ( leq @ n0 @ sk__32 ) ),
inference(demod,[status(thm)],[zip_derived_cl4693,zip_derived_cl5436]) ).
thf(zip_derived_cl42493,plain,
( ( leq @ n0 @ sk__32 )
| ( leq @ sk__30 @ n2 )
| ~ ( leq @ n0 @ sk__27 )
| ~ ( leq @ n0 @ sk__28 ) ),
inference(clc,[status(thm)],[zip_derived_cl42492,zip_derived_cl5600]) ).
thf(zip_derived_cl20239_178,plain,
( ( leq @ sk__30 @ n2 )
| ( leq @ n0 @ sk__27 ) ),
inference(clc,[status(thm)],[zip_derived_cl9431,zip_derived_cl5578]) ).
thf(zip_derived_cl42494,plain,
( ~ ( leq @ n0 @ sk__28 )
| ( leq @ sk__30 @ n2 )
| ( leq @ n0 @ sk__32 ) ),
inference(clc,[status(thm)],[zip_derived_cl42493,zip_derived_cl20239]) ).
thf(zip_derived_cl20502_179,plain,
( ( leq @ sk__30 @ n2 )
| ( leq @ n0 @ sk__28 ) ),
inference(clc,[status(thm)],[zip_derived_cl9547,zip_derived_cl5582]) ).
thf(zip_derived_cl42495,plain,
( ( leq @ n0 @ sk__32 )
| ( leq @ sk__30 @ n2 ) ),
inference(clc,[status(thm)],[zip_derived_cl42494,zip_derived_cl20502]) ).
thf(zip_derived_cl43954,plain,
( ( leq @ n0 @ sk__32 )
| ~ ( leq @ sk__29 @ n2 )
| ~ ( leq @ n0 @ sk__29 )
| ~ ( leq @ n0 @ sk__30 ) ),
inference(clc,[status(thm)],[zip_derived_cl43953,zip_derived_cl42495]) ).
thf(zip_derived_cl5518_180,plain,
! [X0: $i,X1: $i] :
( ~ ( leq @ X0 @ n5 )
| ~ ( leq @ n0 @ X0 )
| ~ ( leq @ n0 @ X1 )
| ~ ( leq @ X1 @ n5 )
| ( ( a_select3 @ q_ds1_filter @ X0 @ X1 )
= ( a_select3 @ q_ds1_filter @ X1 @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl119,zip_derived_cl5436,zip_derived_cl5436]) ).
thf(zip_derived_cl244,plain,
( ( ( a_select3 @ q_ds1_filter @ sk__27 @ sk__28 )
!= ( a_select3 @ q_ds1_filter @ sk__28 @ sk__27 ) )
| ( leq @ sk__29 @ ( minus @ n3 @ n1 ) )
| ( leq @ n0 @ sk__32 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2491_181,plain,
( ( minus @ n3 @ n1 )
= n2 ),
inference('s_sup+',[status(thm)],[zip_derived_cl2479,zip_derived_cl98]) ).
thf(zip_derived_cl5099,plain,
( ( ( a_select3 @ q_ds1_filter @ sk__27 @ sk__28 )
!= ( a_select3 @ q_ds1_filter @ sk__28 @ sk__27 ) )
| ( leq @ sk__29 @ n2 )
| ( leq @ n0 @ sk__32 ) ),
inference(demod,[status(thm)],[zip_derived_cl244,zip_derived_cl2491]) ).
thf(zip_derived_cl8399,plain,
( ~ ( leq @ sk__28 @ n5 )
| ~ ( leq @ n0 @ sk__28 )
| ~ ( leq @ n0 @ sk__27 )
| ~ ( leq @ sk__27 @ n5 )
| ( ( a_select3 @ q_ds1_filter @ sk__27 @ sk__28 )
!= ( a_select3 @ q_ds1_filter @ sk__27 @ sk__28 ) )
| ( leq @ sk__29 @ n2 )
| ( leq @ n0 @ sk__32 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl5518,zip_derived_cl5099]) ).
thf(zip_derived_cl8429,plain,
( ( leq @ n0 @ sk__32 )
| ( leq @ sk__29 @ n2 )
| ~ ( leq @ sk__27 @ n5 )
| ~ ( leq @ n0 @ sk__27 )
| ~ ( leq @ n0 @ sk__28 )
| ~ ( leq @ sk__28 @ n5 ) ),
inference(simplify,[status(thm)],[zip_derived_cl8399]) ).
thf(zip_derived_cl144,plain,
( ( leq @ sk__27 @ ( minus @ n6 @ n1 ) )
| ( leq @ sk__29 @ ( minus @ n3 @ n1 ) )
| ( leq @ n0 @ sk__32 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2491_182,plain,
( ( minus @ n3 @ n1 )
= n2 ),
inference('s_sup+',[status(thm)],[zip_derived_cl2479,zip_derived_cl98]) ).
thf(zip_derived_cl3443,plain,
( ( leq @ sk__27 @ ( minus @ n6 @ n1 ) )
| ( leq @ sk__29 @ n2 )
| ( leq @ n0 @ sk__32 ) ),
inference(demod,[status(thm)],[zip_derived_cl144,zip_derived_cl2491]) ).
thf(zip_derived_cl5436_183,plain,
( ( minus @ n6 @ n1 )
= n5 ),
inference('s_sup+',[status(thm)],[zip_derived_cl5405,zip_derived_cl2228]) ).
thf(zip_derived_cl5575,plain,
( ( leq @ sk__27 @ n5 )
| ( leq @ sk__29 @ n2 )
| ( leq @ n0 @ sk__32 ) ),
inference(demod,[status(thm)],[zip_derived_cl3443,zip_derived_cl5436]) ).
thf(zip_derived_cl42553,plain,
( ~ ( leq @ sk__28 @ n5 )
| ~ ( leq @ n0 @ sk__28 )
| ~ ( leq @ n0 @ sk__27 )
| ( leq @ sk__29 @ n2 )
| ( leq @ n0 @ sk__32 ) ),
inference(clc,[status(thm)],[zip_derived_cl8429,zip_derived_cl5575]) ).
thf(zip_derived_cl219,plain,
( ( leq @ sk__28 @ ( minus @ n6 @ n1 ) )
| ( leq @ sk__29 @ ( minus @ n3 @ n1 ) )
| ( leq @ n0 @ sk__32 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2491_184,plain,
( ( minus @ n3 @ n1 )
= n2 ),
inference('s_sup+',[status(thm)],[zip_derived_cl2479,zip_derived_cl98]) ).
thf(zip_derived_cl4891,plain,
( ( leq @ sk__28 @ ( minus @ n6 @ n1 ) )
| ( leq @ sk__29 @ n2 )
| ( leq @ n0 @ sk__32 ) ),
inference(demod,[status(thm)],[zip_derived_cl219,zip_derived_cl2491]) ).
thf(zip_derived_cl5436_185,plain,
( ( minus @ n6 @ n1 )
= n5 ),
inference('s_sup+',[status(thm)],[zip_derived_cl5405,zip_derived_cl2228]) ).
thf(zip_derived_cl5605,plain,
( ( leq @ sk__28 @ n5 )
| ( leq @ sk__29 @ n2 )
| ( leq @ n0 @ sk__32 ) ),
inference(demod,[status(thm)],[zip_derived_cl4891,zip_derived_cl5436]) ).
thf(zip_derived_cl42554,plain,
( ( leq @ n0 @ sk__32 )
| ( leq @ sk__29 @ n2 )
| ~ ( leq @ n0 @ sk__27 )
| ~ ( leq @ n0 @ sk__28 ) ),
inference(clc,[status(thm)],[zip_derived_cl42553,zip_derived_cl5605]) ).
thf(zip_derived_cl20416_186,plain,
( ( leq @ sk__29 @ n2 )
| ( leq @ n0 @ sk__27 ) ),
inference(clc,[status(thm)],[zip_derived_cl9500,zip_derived_cl5580]) ).
thf(zip_derived_cl42555,plain,
( ~ ( leq @ n0 @ sk__28 )
| ( leq @ sk__29 @ n2 )
| ( leq @ n0 @ sk__32 ) ),
inference(clc,[status(thm)],[zip_derived_cl42554,zip_derived_cl20416]) ).
thf(zip_derived_cl20601_187,plain,
( ( leq @ sk__29 @ n2 )
| ( leq @ n0 @ sk__28 ) ),
inference(clc,[status(thm)],[zip_derived_cl9576,zip_derived_cl5594]) ).
thf(zip_derived_cl42556,plain,
( ( leq @ n0 @ sk__32 )
| ( leq @ sk__29 @ n2 ) ),
inference(clc,[status(thm)],[zip_derived_cl42555,zip_derived_cl20601]) ).
thf(zip_derived_cl43955,plain,
( ~ ( leq @ n0 @ sk__30 )
| ~ ( leq @ n0 @ sk__29 )
| ( leq @ n0 @ sk__32 ) ),
inference(clc,[status(thm)],[zip_derived_cl43954,zip_derived_cl42556]) ).
thf(zip_derived_cl5518_188,plain,
! [X0: $i,X1: $i] :
( ~ ( leq @ X0 @ n5 )
| ~ ( leq @ n0 @ X0 )
| ~ ( leq @ n0 @ X1 )
| ~ ( leq @ X1 @ n5 )
| ( ( a_select3 @ q_ds1_filter @ X0 @ X1 )
= ( a_select3 @ q_ds1_filter @ X1 @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl119,zip_derived_cl5436,zip_derived_cl5436]) ).
thf(zip_derived_cl234,plain,
( ( ( a_select3 @ q_ds1_filter @ sk__27 @ sk__28 )
!= ( a_select3 @ q_ds1_filter @ sk__28 @ sk__27 ) )
| ( leq @ n0 @ sk__30 )
| ( leq @ n0 @ sk__32 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl8390,plain,
( ~ ( leq @ sk__28 @ n5 )
| ~ ( leq @ n0 @ sk__28 )
| ~ ( leq @ n0 @ sk__27 )
| ~ ( leq @ sk__27 @ n5 )
| ( ( a_select3 @ q_ds1_filter @ sk__27 @ sk__28 )
!= ( a_select3 @ q_ds1_filter @ sk__27 @ sk__28 ) )
| ( leq @ n0 @ sk__30 )
| ( leq @ n0 @ sk__32 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl5518,zip_derived_cl234]) ).
thf(zip_derived_cl8420,plain,
( ( leq @ n0 @ sk__32 )
| ( leq @ n0 @ sk__30 )
| ~ ( leq @ sk__27 @ n5 )
| ~ ( leq @ n0 @ sk__27 )
| ~ ( leq @ n0 @ sk__28 )
| ~ ( leq @ sk__28 @ n5 ) ),
inference(simplify,[status(thm)],[zip_derived_cl8390]) ).
thf(zip_derived_cl134,plain,
( ( leq @ sk__27 @ ( minus @ n6 @ n1 ) )
| ( leq @ n0 @ sk__30 )
| ( leq @ n0 @ sk__32 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl5436_189,plain,
( ( minus @ n6 @ n1 )
= n5 ),
inference('s_sup+',[status(thm)],[zip_derived_cl5405,zip_derived_cl2228]) ).
thf(zip_derived_cl5527,plain,
( ( leq @ sk__27 @ n5 )
| ( leq @ n0 @ sk__30 )
| ( leq @ n0 @ sk__32 ) ),
inference(demod,[status(thm)],[zip_derived_cl134,zip_derived_cl5436]) ).
thf(zip_derived_cl20867,plain,
( ~ ( leq @ sk__28 @ n5 )
| ~ ( leq @ n0 @ sk__28 )
| ~ ( leq @ n0 @ sk__27 )
| ( leq @ n0 @ sk__30 )
| ( leq @ n0 @ sk__32 ) ),
inference(clc,[status(thm)],[zip_derived_cl8420,zip_derived_cl5527]) ).
thf(zip_derived_cl209,plain,
( ( leq @ sk__28 @ ( minus @ n6 @ n1 ) )
| ( leq @ n0 @ sk__30 )
| ( leq @ n0 @ sk__32 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl5436_190,plain,
( ( minus @ n6 @ n1 )
= n5 ),
inference('s_sup+',[status(thm)],[zip_derived_cl5405,zip_derived_cl2228]) ).
thf(zip_derived_cl5554,plain,
( ( leq @ sk__28 @ n5 )
| ( leq @ n0 @ sk__30 )
| ( leq @ n0 @ sk__32 ) ),
inference(demod,[status(thm)],[zip_derived_cl209,zip_derived_cl5436]) ).
thf(zip_derived_cl20868,plain,
( ( leq @ n0 @ sk__32 )
| ( leq @ n0 @ sk__30 )
| ~ ( leq @ n0 @ sk__27 )
| ~ ( leq @ n0 @ sk__28 ) ),
inference(clc,[status(thm)],[zip_derived_cl20867,zip_derived_cl5554]) ).
thf(zip_derived_cl16677_191,plain,
( ( leq @ n0 @ sk__30 )
| ( leq @ n0 @ sk__27 ) ),
inference(clc,[status(thm)],[zip_derived_cl8793,zip_derived_cl5537]) ).
thf(zip_derived_cl20869,plain,
( ~ ( leq @ n0 @ sk__28 )
| ( leq @ n0 @ sk__30 )
| ( leq @ n0 @ sk__32 ) ),
inference(clc,[status(thm)],[zip_derived_cl20868,zip_derived_cl16677]) ).
thf(zip_derived_cl18075_192,plain,
( ( leq @ n0 @ sk__30 )
| ( leq @ n0 @ sk__28 ) ),
inference(clc,[status(thm)],[zip_derived_cl8949,zip_derived_cl5543]) ).
thf(zip_derived_cl20870,plain,
( ( leq @ n0 @ sk__32 )
| ( leq @ n0 @ sk__30 ) ),
inference(clc,[status(thm)],[zip_derived_cl20869,zip_derived_cl18075]) ).
thf(zip_derived_cl43956,plain,
( ( leq @ n0 @ sk__32 )
| ~ ( leq @ n0 @ sk__29 ) ),
inference(clc,[status(thm)],[zip_derived_cl43955,zip_derived_cl20870]) ).
thf(zip_derived_cl5518_193,plain,
! [X0: $i,X1: $i] :
( ~ ( leq @ X0 @ n5 )
| ~ ( leq @ n0 @ X0 )
| ~ ( leq @ n0 @ X1 )
| ~ ( leq @ X1 @ n5 )
| ( ( a_select3 @ q_ds1_filter @ X0 @ X1 )
= ( a_select3 @ q_ds1_filter @ X1 @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl119,zip_derived_cl5436,zip_derived_cl5436]) ).
thf(zip_derived_cl239,plain,
( ( ( a_select3 @ q_ds1_filter @ sk__27 @ sk__28 )
!= ( a_select3 @ q_ds1_filter @ sk__28 @ sk__27 ) )
| ( leq @ n0 @ sk__29 )
| ( leq @ n0 @ sk__32 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl8393,plain,
( ~ ( leq @ sk__28 @ n5 )
| ~ ( leq @ n0 @ sk__28 )
| ~ ( leq @ n0 @ sk__27 )
| ~ ( leq @ sk__27 @ n5 )
| ( ( a_select3 @ q_ds1_filter @ sk__27 @ sk__28 )
!= ( a_select3 @ q_ds1_filter @ sk__27 @ sk__28 ) )
| ( leq @ n0 @ sk__29 )
| ( leq @ n0 @ sk__32 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl5518,zip_derived_cl239]) ).
thf(zip_derived_cl8423,plain,
( ( leq @ n0 @ sk__32 )
| ( leq @ n0 @ sk__29 )
| ~ ( leq @ sk__27 @ n5 )
| ~ ( leq @ n0 @ sk__27 )
| ~ ( leq @ n0 @ sk__28 )
| ~ ( leq @ sk__28 @ n5 ) ),
inference(simplify,[status(thm)],[zip_derived_cl8393]) ).
thf(zip_derived_cl139,plain,
( ( leq @ sk__27 @ ( minus @ n6 @ n1 ) )
| ( leq @ n0 @ sk__29 )
| ( leq @ n0 @ sk__32 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl5436_194,plain,
( ( minus @ n6 @ n1 )
= n5 ),
inference('s_sup+',[status(thm)],[zip_derived_cl5405,zip_derived_cl2228]) ).
thf(zip_derived_cl5532,plain,
( ( leq @ sk__27 @ n5 )
| ( leq @ n0 @ sk__29 )
| ( leq @ n0 @ sk__32 ) ),
inference(demod,[status(thm)],[zip_derived_cl139,zip_derived_cl5436]) ).
thf(zip_derived_cl41197,plain,
( ~ ( leq @ sk__28 @ n5 )
| ~ ( leq @ n0 @ sk__28 )
| ~ ( leq @ n0 @ sk__27 )
| ( leq @ n0 @ sk__29 )
| ( leq @ n0 @ sk__32 ) ),
inference(clc,[status(thm)],[zip_derived_cl8423,zip_derived_cl5532]) ).
thf(zip_derived_cl214,plain,
( ( leq @ sk__28 @ ( minus @ n6 @ n1 ) )
| ( leq @ n0 @ sk__29 )
| ( leq @ n0 @ sk__32 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl5436_195,plain,
( ( minus @ n6 @ n1 )
= n5 ),
inference('s_sup+',[status(thm)],[zip_derived_cl5405,zip_derived_cl2228]) ).
thf(zip_derived_cl5559,plain,
( ( leq @ sk__28 @ n5 )
| ( leq @ n0 @ sk__29 )
| ( leq @ n0 @ sk__32 ) ),
inference(demod,[status(thm)],[zip_derived_cl214,zip_derived_cl5436]) ).
thf(zip_derived_cl41198,plain,
( ( leq @ n0 @ sk__32 )
| ( leq @ n0 @ sk__29 )
| ~ ( leq @ n0 @ sk__27 )
| ~ ( leq @ n0 @ sk__28 ) ),
inference(clc,[status(thm)],[zip_derived_cl41197,zip_derived_cl5559]) ).
thf(zip_derived_cl17174_196,plain,
( ( leq @ n0 @ sk__29 )
| ( leq @ n0 @ sk__27 ) ),
inference(clc,[status(thm)],[zip_derived_cl8810,zip_derived_cl5539]) ).
thf(zip_derived_cl41199,plain,
( ~ ( leq @ n0 @ sk__28 )
| ( leq @ n0 @ sk__29 )
| ( leq @ n0 @ sk__32 ) ),
inference(clc,[status(thm)],[zip_derived_cl41198,zip_derived_cl17174]) ).
thf(zip_derived_cl18475_197,plain,
( ( leq @ n0 @ sk__29 )
| ( leq @ n0 @ sk__28 ) ),
inference(clc,[status(thm)],[zip_derived_cl8987,zip_derived_cl5545]) ).
thf(zip_derived_cl41200,plain,
( ( leq @ n0 @ sk__32 )
| ( leq @ n0 @ sk__29 ) ),
inference(clc,[status(thm)],[zip_derived_cl41199,zip_derived_cl18475]) ).
thf(zip_derived_cl43957,plain,
leq @ n0 @ sk__32,
inference(clc,[status(thm)],[zip_derived_cl43956,zip_derived_cl41200]) ).
thf(zip_derived_cl62882,plain,
( ( leq @ sk__29 @ n2 )
| ~ ( leq @ sk__31 @ n5 )
| ~ ( leq @ sk__32 @ n5 ) ),
inference(demod,[status(thm)],[zip_derived_cl42551,zip_derived_cl44352,zip_derived_cl43957]) ).
thf(zip_derived_cl5518_198,plain,
! [X0: $i,X1: $i] :
( ~ ( leq @ X0 @ n5 )
| ~ ( leq @ n0 @ X0 )
| ~ ( leq @ n0 @ X1 )
| ~ ( leq @ X1 @ n5 )
| ( ( a_select3 @ q_ds1_filter @ X0 @ X1 )
= ( a_select3 @ q_ds1_filter @ X1 @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl119,zip_derived_cl5436,zip_derived_cl5436]) ).
thf(zip_derived_cl246,plain,
( ( ( a_select3 @ q_ds1_filter @ sk__27 @ sk__28 )
!= ( a_select3 @ q_ds1_filter @ sk__28 @ sk__27 ) )
| ( leq @ sk__29 @ ( minus @ n3 @ n1 ) )
| ( leq @ sk__31 @ ( minus @ n6 @ n1 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2491_199,plain,
( ( minus @ n3 @ n1 )
= n2 ),
inference('s_sup+',[status(thm)],[zip_derived_cl2479,zip_derived_cl98]) ).
thf(zip_derived_cl5117,plain,
( ( ( a_select3 @ q_ds1_filter @ sk__27 @ sk__28 )
!= ( a_select3 @ q_ds1_filter @ sk__28 @ sk__27 ) )
| ( leq @ sk__29 @ n2 )
| ( leq @ sk__31 @ ( minus @ n6 @ n1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl246,zip_derived_cl2491]) ).
thf(zip_derived_cl5436_200,plain,
( ( minus @ n6 @ n1 )
= n5 ),
inference('s_sup+',[status(thm)],[zip_derived_cl5405,zip_derived_cl2228]) ).
thf(zip_derived_cl5611,plain,
( ( ( a_select3 @ q_ds1_filter @ sk__27 @ sk__28 )
!= ( a_select3 @ q_ds1_filter @ sk__28 @ sk__27 ) )
| ( leq @ sk__29 @ n2 )
| ( leq @ sk__31 @ n5 ) ),
inference(demod,[status(thm)],[zip_derived_cl5117,zip_derived_cl5436]) ).
thf(zip_derived_cl10005,plain,
( ~ ( leq @ sk__28 @ n5 )
| ~ ( leq @ n0 @ sk__28 )
| ~ ( leq @ n0 @ sk__27 )
| ~ ( leq @ sk__27 @ n5 )
| ( ( a_select3 @ q_ds1_filter @ sk__27 @ sk__28 )
!= ( a_select3 @ q_ds1_filter @ sk__27 @ sk__28 ) )
| ( leq @ sk__29 @ n2 )
| ( leq @ sk__31 @ n5 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl5518,zip_derived_cl5611]) ).
thf(zip_derived_cl10007,plain,
( ( leq @ sk__31 @ n5 )
| ( leq @ sk__29 @ n2 )
| ~ ( leq @ sk__27 @ n5 )
| ~ ( leq @ n0 @ sk__27 )
| ~ ( leq @ n0 @ sk__28 )
| ~ ( leq @ sk__28 @ n5 ) ),
inference(simplify,[status(thm)],[zip_derived_cl10005]) ).
thf(zip_derived_cl45954_201,plain,
leq @ n0 @ sk__27,
inference(clc,[status(thm)],[zip_derived_cl45943,zip_derived_cl45621]) ).
thf(zip_derived_cl46938_202,plain,
leq @ n0 @ sk__28,
inference(clc,[status(thm)],[zip_derived_cl46732,zip_derived_cl46129]) ).
thf(zip_derived_cl49268,plain,
( ( leq @ sk__31 @ n5 )
| ( leq @ sk__29 @ n2 )
| ~ ( leq @ sk__27 @ n5 )
| ~ ( leq @ sk__28 @ n5 ) ),
inference(demod,[status(thm)],[zip_derived_cl10007,zip_derived_cl45954,zip_derived_cl46938]) ).
thf(zip_derived_cl5519_203,plain,
! [X4: $i,X5: $i] :
( ~ ( leq @ X4 @ n5 )
| ~ ( leq @ n0 @ X4 )
| ~ ( leq @ n0 @ X5 )
| ~ ( leq @ X5 @ n5 )
| ( ( a_select3 @ pminus_ds1_filter @ X4 @ X5 )
= ( a_select3 @ pminus_ds1_filter @ X5 @ X4 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl121,zip_derived_cl5436,zip_derived_cl5436]) ).
thf(zip_derived_cl5573_204,plain,
( ( leq @ sk__27 @ n5 )
| ( leq @ sk__29 @ n2 )
| ( ( a_select3 @ pminus_ds1_filter @ sk__31 @ sk__32 )
!= ( a_select3 @ pminus_ds1_filter @ sk__32 @ sk__31 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3329,zip_derived_cl5436]) ).
thf(zip_derived_cl9238,plain,
( ~ ( leq @ sk__32 @ n5 )
| ~ ( leq @ n0 @ sk__32 )
| ~ ( leq @ n0 @ sk__31 )
| ~ ( leq @ sk__31 @ n5 )
| ( leq @ sk__27 @ n5 )
| ( leq @ sk__29 @ n2 )
| ( ( a_select3 @ pminus_ds1_filter @ sk__31 @ sk__32 )
!= ( a_select3 @ pminus_ds1_filter @ sk__31 @ sk__32 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl5519,zip_derived_cl5573]) ).
thf(zip_derived_cl9240,plain,
( ( leq @ sk__29 @ n2 )
| ( leq @ sk__27 @ n5 )
| ~ ( leq @ sk__31 @ n5 )
| ~ ( leq @ n0 @ sk__31 )
| ~ ( leq @ n0 @ sk__32 )
| ~ ( leq @ sk__32 @ n5 ) ),
inference(simplify,[status(thm)],[zip_derived_cl9238]) ).
thf(zip_derived_cl44352_205,plain,
leq @ n0 @ sk__31,
inference(clc,[status(thm)],[zip_derived_cl44351,zip_derived_cl41443]) ).
thf(zip_derived_cl43957_206,plain,
leq @ n0 @ sk__32,
inference(clc,[status(thm)],[zip_derived_cl43956,zip_derived_cl41200]) ).
thf(zip_derived_cl47871,plain,
( ( leq @ sk__29 @ n2 )
| ( leq @ sk__27 @ n5 )
| ~ ( leq @ sk__31 @ n5 )
| ~ ( leq @ sk__32 @ n5 ) ),
inference(demod,[status(thm)],[zip_derived_cl9240,zip_derived_cl44352,zip_derived_cl43957]) ).
thf(zip_derived_cl2712_207,plain,
! [X2: $i,X3: $i] :
( ~ ( leq @ X2 @ n2 )
| ~ ( leq @ n0 @ X2 )
| ~ ( leq @ n0 @ X3 )
| ~ ( leq @ X3 @ n2 )
| ( ( a_select3 @ r_ds1_filter @ X2 @ X3 )
= ( a_select3 @ r_ds1_filter @ X3 @ X2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl120,zip_derived_cl2491,zip_derived_cl2491]) ).
thf(zip_derived_cl126,plain,
( ( leq @ sk__27 @ ( minus @ n6 @ n1 ) )
| ( ( a_select3 @ r_ds1_filter @ sk__29 @ sk__30 )
!= ( a_select3 @ r_ds1_filter @ sk__30 @ sk__29 ) )
| ( leq @ sk__31 @ ( minus @ n6 @ n1 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl5436_208,plain,
( ( minus @ n6 @ n1 )
= n5 ),
inference('s_sup+',[status(thm)],[zip_derived_cl5405,zip_derived_cl2228]) ).
thf(zip_derived_cl5436_209,plain,
( ( minus @ n6 @ n1 )
= n5 ),
inference('s_sup+',[status(thm)],[zip_derived_cl5405,zip_derived_cl2228]) ).
thf(zip_derived_cl5524,plain,
( ( leq @ sk__27 @ n5 )
| ( ( a_select3 @ r_ds1_filter @ sk__29 @ sk__30 )
!= ( a_select3 @ r_ds1_filter @ sk__30 @ sk__29 ) )
| ( leq @ sk__31 @ n5 ) ),
inference(demod,[status(thm)],[zip_derived_cl126,zip_derived_cl5436,zip_derived_cl5436]) ).
thf(zip_derived_cl8558,plain,
( ~ ( leq @ sk__30 @ n2 )
| ~ ( leq @ n0 @ sk__30 )
| ~ ( leq @ n0 @ sk__29 )
| ~ ( leq @ sk__29 @ n2 )
| ( leq @ sk__27 @ n5 )
| ( ( a_select3 @ r_ds1_filter @ sk__29 @ sk__30 )
!= ( a_select3 @ r_ds1_filter @ sk__29 @ sk__30 ) )
| ( leq @ sk__31 @ n5 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2712,zip_derived_cl5524]) ).
thf(zip_derived_cl8560,plain,
( ( leq @ sk__31 @ n5 )
| ( leq @ sk__27 @ n5 )
| ~ ( leq @ sk__29 @ n2 )
| ~ ( leq @ n0 @ sk__29 )
| ~ ( leq @ n0 @ sk__30 )
| ~ ( leq @ sk__30 @ n2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl8558]) ).
thf(zip_derived_cl146,plain,
( ( leq @ sk__27 @ ( minus @ n6 @ n1 ) )
| ( leq @ sk__29 @ ( minus @ n3 @ n1 ) )
| ( leq @ sk__31 @ ( minus @ n6 @ n1 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2491_210,plain,
( ( minus @ n3 @ n1 )
= n2 ),
inference('s_sup+',[status(thm)],[zip_derived_cl2479,zip_derived_cl98]) ).
thf(zip_derived_cl3469,plain,
( ( leq @ sk__27 @ ( minus @ n6 @ n1 ) )
| ( leq @ sk__29 @ n2 )
| ( leq @ sk__31 @ ( minus @ n6 @ n1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl146,zip_derived_cl2491]) ).
thf(zip_derived_cl5436_211,plain,
( ( minus @ n6 @ n1 )
= n5 ),
inference('s_sup+',[status(thm)],[zip_derived_cl5405,zip_derived_cl2228]) ).
thf(zip_derived_cl5436_212,plain,
( ( minus @ n6 @ n1 )
= n5 ),
inference('s_sup+',[status(thm)],[zip_derived_cl5405,zip_derived_cl2228]) ).
thf(zip_derived_cl5577,plain,
( ( leq @ sk__27 @ n5 )
| ( leq @ sk__29 @ n2 )
| ( leq @ sk__31 @ n5 ) ),
inference(demod,[status(thm)],[zip_derived_cl3469,zip_derived_cl5436,zip_derived_cl5436]) ).
thf(zip_derived_cl44754,plain,
( ~ ( leq @ sk__30 @ n2 )
| ~ ( leq @ n0 @ sk__30 )
| ~ ( leq @ n0 @ sk__29 )
| ( leq @ sk__27 @ n5 )
| ( leq @ sk__31 @ n5 ) ),
inference(clc,[status(thm)],[zip_derived_cl8560,zip_derived_cl5577]) ).
thf(zip_derived_cl131,plain,
( ( leq @ sk__27 @ ( minus @ n6 @ n1 ) )
| ( leq @ sk__30 @ ( minus @ n3 @ n1 ) )
| ( leq @ sk__31 @ ( minus @ n6 @ n1 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2491_213,plain,
( ( minus @ n3 @ n1 )
= n2 ),
inference('s_sup+',[status(thm)],[zip_derived_cl2479,zip_derived_cl98]) ).
thf(zip_derived_cl3040,plain,
( ( leq @ sk__27 @ ( minus @ n6 @ n1 ) )
| ( leq @ sk__30 @ n2 )
| ( leq @ sk__31 @ ( minus @ n6 @ n1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl131,zip_derived_cl2491]) ).
thf(zip_derived_cl5436_214,plain,
( ( minus @ n6 @ n1 )
= n5 ),
inference('s_sup+',[status(thm)],[zip_derived_cl5405,zip_derived_cl2228]) ).
thf(zip_derived_cl5436_215,plain,
( ( minus @ n6 @ n1 )
= n5 ),
inference('s_sup+',[status(thm)],[zip_derived_cl5405,zip_derived_cl2228]) ).
thf(zip_derived_cl5572,plain,
( ( leq @ sk__27 @ n5 )
| ( leq @ sk__30 @ n2 )
| ( leq @ sk__31 @ n5 ) ),
inference(demod,[status(thm)],[zip_derived_cl3040,zip_derived_cl5436,zip_derived_cl5436]) ).
thf(zip_derived_cl44755,plain,
( ( leq @ sk__31 @ n5 )
| ( leq @ sk__27 @ n5 )
| ~ ( leq @ n0 @ sk__29 )
| ~ ( leq @ n0 @ sk__30 ) ),
inference(clc,[status(thm)],[zip_derived_cl44754,zip_derived_cl5572]) ).
thf(zip_derived_cl141,plain,
( ( leq @ sk__27 @ ( minus @ n6 @ n1 ) )
| ( leq @ n0 @ sk__29 )
| ( leq @ sk__31 @ ( minus @ n6 @ n1 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl5436_216,plain,
( ( minus @ n6 @ n1 )
= n5 ),
inference('s_sup+',[status(thm)],[zip_derived_cl5405,zip_derived_cl2228]) ).
thf(zip_derived_cl5436_217,plain,
( ( minus @ n6 @ n1 )
= n5 ),
inference('s_sup+',[status(thm)],[zip_derived_cl5405,zip_derived_cl2228]) ).
thf(zip_derived_cl5534,plain,
( ( leq @ sk__27 @ n5 )
| ( leq @ n0 @ sk__29 )
| ( leq @ sk__31 @ n5 ) ),
inference(demod,[status(thm)],[zip_derived_cl141,zip_derived_cl5436,zip_derived_cl5436]) ).
thf(zip_derived_cl44756,plain,
( ~ ( leq @ n0 @ sk__30 )
| ( leq @ sk__27 @ n5 )
| ( leq @ sk__31 @ n5 ) ),
inference(clc,[status(thm)],[zip_derived_cl44755,zip_derived_cl5534]) ).
thf(zip_derived_cl136,plain,
( ( leq @ sk__27 @ ( minus @ n6 @ n1 ) )
| ( leq @ n0 @ sk__30 )
| ( leq @ sk__31 @ ( minus @ n6 @ n1 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl5436_218,plain,
( ( minus @ n6 @ n1 )
= n5 ),
inference('s_sup+',[status(thm)],[zip_derived_cl5405,zip_derived_cl2228]) ).
thf(zip_derived_cl5436_219,plain,
( ( minus @ n6 @ n1 )
= n5 ),
inference('s_sup+',[status(thm)],[zip_derived_cl5405,zip_derived_cl2228]) ).
thf(zip_derived_cl5529,plain,
( ( leq @ sk__27 @ n5 )
| ( leq @ n0 @ sk__30 )
| ( leq @ sk__31 @ n5 ) ),
inference(demod,[status(thm)],[zip_derived_cl136,zip_derived_cl5436,zip_derived_cl5436]) ).
thf(zip_derived_cl44757,plain,
( ( leq @ sk__31 @ n5 )
| ( leq @ sk__27 @ n5 ) ),
inference(clc,[status(thm)],[zip_derived_cl44756,zip_derived_cl5529]) ).
thf(zip_derived_cl47872,plain,
( ~ ( leq @ sk__32 @ n5 )
| ( leq @ sk__27 @ n5 )
| ( leq @ sk__29 @ n2 ) ),
inference(clc,[status(thm)],[zip_derived_cl47871,zip_derived_cl44757]) ).
thf(zip_derived_cl43749_220,plain,
( ( leq @ sk__32 @ n5 )
| ( leq @ sk__27 @ n5 ) ),
inference(clc,[status(thm)],[zip_derived_cl43748,zip_derived_cl5526]) ).
thf(zip_derived_cl47873,plain,
( ( leq @ sk__29 @ n2 )
| ( leq @ sk__27 @ n5 ) ),
inference(clc,[status(thm)],[zip_derived_cl47872,zip_derived_cl43749]) ).
thf(zip_derived_cl49269,plain,
( ~ ( leq @ sk__28 @ n5 )
| ( leq @ sk__29 @ n2 )
| ( leq @ sk__31 @ n5 ) ),
inference(clc,[status(thm)],[zip_derived_cl49268,zip_derived_cl47873]) ).
thf(zip_derived_cl5519_221,plain,
! [X4: $i,X5: $i] :
( ~ ( leq @ X4 @ n5 )
| ~ ( leq @ n0 @ X4 )
| ~ ( leq @ n0 @ X5 )
| ~ ( leq @ X5 @ n5 )
| ( ( a_select3 @ pminus_ds1_filter @ X4 @ X5 )
= ( a_select3 @ pminus_ds1_filter @ X5 @ X4 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl121,zip_derived_cl5436,zip_derived_cl5436]) ).
thf(zip_derived_cl5603_222,plain,
( ( leq @ sk__28 @ n5 )
| ( leq @ sk__29 @ n2 )
| ( ( a_select3 @ pminus_ds1_filter @ sk__31 @ sk__32 )
!= ( a_select3 @ pminus_ds1_filter @ sk__32 @ sk__31 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4866,zip_derived_cl5436]) ).
thf(zip_derived_cl9692,plain,
( ~ ( leq @ sk__32 @ n5 )
| ~ ( leq @ n0 @ sk__32 )
| ~ ( leq @ n0 @ sk__31 )
| ~ ( leq @ sk__31 @ n5 )
| ( leq @ sk__28 @ n5 )
| ( leq @ sk__29 @ n2 )
| ( ( a_select3 @ pminus_ds1_filter @ sk__31 @ sk__32 )
!= ( a_select3 @ pminus_ds1_filter @ sk__31 @ sk__32 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl5519,zip_derived_cl5603]) ).
thf(zip_derived_cl9694,plain,
( ( leq @ sk__29 @ n2 )
| ( leq @ sk__28 @ n5 )
| ~ ( leq @ sk__31 @ n5 )
| ~ ( leq @ n0 @ sk__31 )
| ~ ( leq @ n0 @ sk__32 )
| ~ ( leq @ sk__32 @ n5 ) ),
inference(simplify,[status(thm)],[zip_derived_cl9692]) ).
thf(zip_derived_cl44352_223,plain,
leq @ n0 @ sk__31,
inference(clc,[status(thm)],[zip_derived_cl44351,zip_derived_cl41443]) ).
thf(zip_derived_cl43957_224,plain,
leq @ n0 @ sk__32,
inference(clc,[status(thm)],[zip_derived_cl43956,zip_derived_cl41200]) ).
thf(zip_derived_cl48407,plain,
( ( leq @ sk__29 @ n2 )
| ( leq @ sk__28 @ n5 )
| ~ ( leq @ sk__31 @ n5 )
| ~ ( leq @ sk__32 @ n5 ) ),
inference(demod,[status(thm)],[zip_derived_cl9694,zip_derived_cl44352,zip_derived_cl43957]) ).
thf(zip_derived_cl2712_225,plain,
! [X2: $i,X3: $i] :
( ~ ( leq @ X2 @ n2 )
| ~ ( leq @ n0 @ X2 )
| ~ ( leq @ n0 @ X3 )
| ~ ( leq @ X3 @ n2 )
| ( ( a_select3 @ r_ds1_filter @ X2 @ X3 )
= ( a_select3 @ r_ds1_filter @ X3 @ X2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl120,zip_derived_cl2491,zip_derived_cl2491]) ).
thf(zip_derived_cl201,plain,
( ( leq @ sk__28 @ ( minus @ n6 @ n1 ) )
| ( ( a_select3 @ r_ds1_filter @ sk__29 @ sk__30 )
!= ( a_select3 @ r_ds1_filter @ sk__30 @ sk__29 ) )
| ( leq @ sk__31 @ ( minus @ n6 @ n1 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl5436_226,plain,
( ( minus @ n6 @ n1 )
= n5 ),
inference('s_sup+',[status(thm)],[zip_derived_cl5405,zip_derived_cl2228]) ).
thf(zip_derived_cl5436_227,plain,
( ( minus @ n6 @ n1 )
= n5 ),
inference('s_sup+',[status(thm)],[zip_derived_cl5405,zip_derived_cl2228]) ).
thf(zip_derived_cl5551,plain,
( ( leq @ sk__28 @ n5 )
| ( ( a_select3 @ r_ds1_filter @ sk__29 @ sk__30 )
!= ( a_select3 @ r_ds1_filter @ sk__30 @ sk__29 ) )
| ( leq @ sk__31 @ n5 ) ),
inference(demod,[status(thm)],[zip_derived_cl201,zip_derived_cl5436,zip_derived_cl5436]) ).
thf(zip_derived_cl9055,plain,
( ~ ( leq @ sk__30 @ n2 )
| ~ ( leq @ n0 @ sk__30 )
| ~ ( leq @ n0 @ sk__29 )
| ~ ( leq @ sk__29 @ n2 )
| ( leq @ sk__28 @ n5 )
| ( ( a_select3 @ r_ds1_filter @ sk__29 @ sk__30 )
!= ( a_select3 @ r_ds1_filter @ sk__29 @ sk__30 ) )
| ( leq @ sk__31 @ n5 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2712,zip_derived_cl5551]) ).
thf(zip_derived_cl9057,plain,
( ( leq @ sk__31 @ n5 )
| ( leq @ sk__28 @ n5 )
| ~ ( leq @ sk__29 @ n2 )
| ~ ( leq @ n0 @ sk__29 )
| ~ ( leq @ n0 @ sk__30 )
| ~ ( leq @ sk__30 @ n2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl9055]) ).
thf(zip_derived_cl221,plain,
( ( leq @ sk__28 @ ( minus @ n6 @ n1 ) )
| ( leq @ sk__29 @ ( minus @ n3 @ n1 ) )
| ( leq @ sk__31 @ ( minus @ n6 @ n1 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2491_228,plain,
( ( minus @ n3 @ n1 )
= n2 ),
inference('s_sup+',[status(thm)],[zip_derived_cl2479,zip_derived_cl98]) ).
thf(zip_derived_cl4899,plain,
( ( leq @ sk__28 @ ( minus @ n6 @ n1 ) )
| ( leq @ sk__29 @ n2 )
| ( leq @ sk__31 @ ( minus @ n6 @ n1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl221,zip_derived_cl2491]) ).
thf(zip_derived_cl5436_229,plain,
( ( minus @ n6 @ n1 )
= n5 ),
inference('s_sup+',[status(thm)],[zip_derived_cl5405,zip_derived_cl2228]) ).
thf(zip_derived_cl5436_230,plain,
( ( minus @ n6 @ n1 )
= n5 ),
inference('s_sup+',[status(thm)],[zip_derived_cl5405,zip_derived_cl2228]) ).
thf(zip_derived_cl5607,plain,
( ( leq @ sk__28 @ n5 )
| ( leq @ sk__29 @ n2 )
| ( leq @ sk__31 @ n5 ) ),
inference(demod,[status(thm)],[zip_derived_cl4899,zip_derived_cl5436,zip_derived_cl5436]) ).
thf(zip_derived_cl47403,plain,
( ~ ( leq @ sk__30 @ n2 )
| ~ ( leq @ n0 @ sk__30 )
| ~ ( leq @ n0 @ sk__29 )
| ( leq @ sk__28 @ n5 )
| ( leq @ sk__31 @ n5 ) ),
inference(clc,[status(thm)],[zip_derived_cl9057,zip_derived_cl5607]) ).
thf(zip_derived_cl206,plain,
( ( leq @ sk__28 @ ( minus @ n6 @ n1 ) )
| ( leq @ sk__30 @ ( minus @ n3 @ n1 ) )
| ( leq @ sk__31 @ ( minus @ n6 @ n1 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2491_231,plain,
( ( minus @ n3 @ n1 )
= n2 ),
inference('s_sup+',[status(thm)],[zip_derived_cl2479,zip_derived_cl98]) ).
thf(zip_derived_cl4714,plain,
( ( leq @ sk__28 @ ( minus @ n6 @ n1 ) )
| ( leq @ sk__30 @ n2 )
| ( leq @ sk__31 @ ( minus @ n6 @ n1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl206,zip_derived_cl2491]) ).
thf(zip_derived_cl5436_232,plain,
( ( minus @ n6 @ n1 )
= n5 ),
inference('s_sup+',[status(thm)],[zip_derived_cl5405,zip_derived_cl2228]) ).
thf(zip_derived_cl5436_233,plain,
( ( minus @ n6 @ n1 )
= n5 ),
inference('s_sup+',[status(thm)],[zip_derived_cl5405,zip_derived_cl2228]) ).
thf(zip_derived_cl5602,plain,
( ( leq @ sk__28 @ n5 )
| ( leq @ sk__30 @ n2 )
| ( leq @ sk__31 @ n5 ) ),
inference(demod,[status(thm)],[zip_derived_cl4714,zip_derived_cl5436,zip_derived_cl5436]) ).
thf(zip_derived_cl47404,plain,
( ( leq @ sk__31 @ n5 )
| ( leq @ sk__28 @ n5 )
| ~ ( leq @ n0 @ sk__29 )
| ~ ( leq @ n0 @ sk__30 ) ),
inference(clc,[status(thm)],[zip_derived_cl47403,zip_derived_cl5602]) ).
thf(zip_derived_cl216,plain,
( ( leq @ sk__28 @ ( minus @ n6 @ n1 ) )
| ( leq @ n0 @ sk__29 )
| ( leq @ sk__31 @ ( minus @ n6 @ n1 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl5436_234,plain,
( ( minus @ n6 @ n1 )
= n5 ),
inference('s_sup+',[status(thm)],[zip_derived_cl5405,zip_derived_cl2228]) ).
thf(zip_derived_cl5436_235,plain,
( ( minus @ n6 @ n1 )
= n5 ),
inference('s_sup+',[status(thm)],[zip_derived_cl5405,zip_derived_cl2228]) ).
thf(zip_derived_cl5561,plain,
( ( leq @ sk__28 @ n5 )
| ( leq @ n0 @ sk__29 )
| ( leq @ sk__31 @ n5 ) ),
inference(demod,[status(thm)],[zip_derived_cl216,zip_derived_cl5436,zip_derived_cl5436]) ).
thf(zip_derived_cl47405,plain,
( ~ ( leq @ n0 @ sk__30 )
| ( leq @ sk__28 @ n5 )
| ( leq @ sk__31 @ n5 ) ),
inference(clc,[status(thm)],[zip_derived_cl47404,zip_derived_cl5561]) ).
thf(zip_derived_cl211,plain,
( ( leq @ sk__28 @ ( minus @ n6 @ n1 ) )
| ( leq @ n0 @ sk__30 )
| ( leq @ sk__31 @ ( minus @ n6 @ n1 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl5436_236,plain,
( ( minus @ n6 @ n1 )
= n5 ),
inference('s_sup+',[status(thm)],[zip_derived_cl5405,zip_derived_cl2228]) ).
thf(zip_derived_cl5436_237,plain,
( ( minus @ n6 @ n1 )
= n5 ),
inference('s_sup+',[status(thm)],[zip_derived_cl5405,zip_derived_cl2228]) ).
thf(zip_derived_cl5556,plain,
( ( leq @ sk__28 @ n5 )
| ( leq @ n0 @ sk__30 )
| ( leq @ sk__31 @ n5 ) ),
inference(demod,[status(thm)],[zip_derived_cl211,zip_derived_cl5436,zip_derived_cl5436]) ).
thf(zip_derived_cl47406,plain,
( ( leq @ sk__31 @ n5 )
| ( leq @ sk__28 @ n5 ) ),
inference(clc,[status(thm)],[zip_derived_cl47405,zip_derived_cl5556]) ).
thf(zip_derived_cl48408,plain,
( ~ ( leq @ sk__32 @ n5 )
| ( leq @ sk__28 @ n5 )
| ( leq @ sk__29 @ n2 ) ),
inference(clc,[status(thm)],[zip_derived_cl48407,zip_derived_cl47406]) ).
thf(zip_derived_cl47124_238,plain,
( ( leq @ sk__32 @ n5 )
| ( leq @ sk__28 @ n5 ) ),
inference(clc,[status(thm)],[zip_derived_cl47123,zip_derived_cl5553]) ).
thf(zip_derived_cl48409,plain,
( ( leq @ sk__29 @ n2 )
| ( leq @ sk__28 @ n5 ) ),
inference(clc,[status(thm)],[zip_derived_cl48408,zip_derived_cl47124]) ).
thf(zip_derived_cl49270,plain,
( ( leq @ sk__31 @ n5 )
| ( leq @ sk__29 @ n2 ) ),
inference(clc,[status(thm)],[zip_derived_cl49269,zip_derived_cl48409]) ).
thf(zip_derived_cl62883,plain,
( ~ ( leq @ sk__32 @ n5 )
| ( leq @ sk__29 @ n2 ) ),
inference(clc,[status(thm)],[zip_derived_cl62882,zip_derived_cl49270]) ).
thf(zip_derived_cl5518_239,plain,
! [X0: $i,X1: $i] :
( ~ ( leq @ X0 @ n5 )
| ~ ( leq @ n0 @ X0 )
| ~ ( leq @ n0 @ X1 )
| ~ ( leq @ X1 @ n5 )
| ( ( a_select3 @ q_ds1_filter @ X0 @ X1 )
= ( a_select3 @ q_ds1_filter @ X1 @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl119,zip_derived_cl5436,zip_derived_cl5436]) ).
thf(zip_derived_cl243,plain,
( ( ( a_select3 @ q_ds1_filter @ sk__27 @ sk__28 )
!= ( a_select3 @ q_ds1_filter @ sk__28 @ sk__27 ) )
| ( leq @ sk__29 @ ( minus @ n3 @ n1 ) )
| ( leq @ sk__32 @ ( minus @ n6 @ n1 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2491_240,plain,
( ( minus @ n3 @ n1 )
= n2 ),
inference('s_sup+',[status(thm)],[zip_derived_cl2479,zip_derived_cl98]) ).
thf(zip_derived_cl5098,plain,
( ( ( a_select3 @ q_ds1_filter @ sk__27 @ sk__28 )
!= ( a_select3 @ q_ds1_filter @ sk__28 @ sk__27 ) )
| ( leq @ sk__29 @ n2 )
| ( leq @ sk__32 @ ( minus @ n6 @ n1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl243,zip_derived_cl2491]) ).
thf(zip_derived_cl5436_241,plain,
( ( minus @ n6 @ n1 )
= n5 ),
inference('s_sup+',[status(thm)],[zip_derived_cl5405,zip_derived_cl2228]) ).
thf(zip_derived_cl5610,plain,
( ( ( a_select3 @ q_ds1_filter @ sk__27 @ sk__28 )
!= ( a_select3 @ q_ds1_filter @ sk__28 @ sk__27 ) )
| ( leq @ sk__29 @ n2 )
| ( leq @ sk__32 @ n5 ) ),
inference(demod,[status(thm)],[zip_derived_cl5098,zip_derived_cl5436]) ).
thf(zip_derived_cl10001,plain,
( ~ ( leq @ sk__28 @ n5 )
| ~ ( leq @ n0 @ sk__28 )
| ~ ( leq @ n0 @ sk__27 )
| ~ ( leq @ sk__27 @ n5 )
| ( ( a_select3 @ q_ds1_filter @ sk__27 @ sk__28 )
!= ( a_select3 @ q_ds1_filter @ sk__27 @ sk__28 ) )
| ( leq @ sk__29 @ n2 )
| ( leq @ sk__32 @ n5 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl5518,zip_derived_cl5610]) ).
thf(zip_derived_cl10003,plain,
( ( leq @ sk__32 @ n5 )
| ( leq @ sk__29 @ n2 )
| ~ ( leq @ sk__27 @ n5 )
| ~ ( leq @ n0 @ sk__27 )
| ~ ( leq @ n0 @ sk__28 )
| ~ ( leq @ sk__28 @ n5 ) ),
inference(simplify,[status(thm)],[zip_derived_cl10001]) ).
thf(zip_derived_cl45954_242,plain,
leq @ n0 @ sk__27,
inference(clc,[status(thm)],[zip_derived_cl45943,zip_derived_cl45621]) ).
thf(zip_derived_cl46938_243,plain,
leq @ n0 @ sk__28,
inference(clc,[status(thm)],[zip_derived_cl46732,zip_derived_cl46129]) ).
thf(zip_derived_cl49202,plain,
( ( leq @ sk__32 @ n5 )
| ( leq @ sk__29 @ n2 )
| ~ ( leq @ sk__27 @ n5 )
| ~ ( leq @ sk__28 @ n5 ) ),
inference(demod,[status(thm)],[zip_derived_cl10003,zip_derived_cl45954,zip_derived_cl46938]) ).
thf(zip_derived_cl47873_244,plain,
( ( leq @ sk__29 @ n2 )
| ( leq @ sk__27 @ n5 ) ),
inference(clc,[status(thm)],[zip_derived_cl47872,zip_derived_cl43749]) ).
thf(zip_derived_cl49203,plain,
( ~ ( leq @ sk__28 @ n5 )
| ( leq @ sk__29 @ n2 )
| ( leq @ sk__32 @ n5 ) ),
inference(clc,[status(thm)],[zip_derived_cl49202,zip_derived_cl47873]) ).
thf(zip_derived_cl48409_245,plain,
( ( leq @ sk__29 @ n2 )
| ( leq @ sk__28 @ n5 ) ),
inference(clc,[status(thm)],[zip_derived_cl48408,zip_derived_cl47124]) ).
thf(zip_derived_cl49204,plain,
( ( leq @ sk__32 @ n5 )
| ( leq @ sk__29 @ n2 ) ),
inference(clc,[status(thm)],[zip_derived_cl49203,zip_derived_cl48409]) ).
thf(zip_derived_cl62884,plain,
leq @ sk__29 @ n2,
inference(clc,[status(thm)],[zip_derived_cl62883,zip_derived_cl49204]) ).
thf(zip_derived_cl5519_246,plain,
! [X4: $i,X5: $i] :
( ~ ( leq @ X4 @ n5 )
| ~ ( leq @ n0 @ X4 )
| ~ ( leq @ n0 @ X5 )
| ~ ( leq @ X5 @ n5 )
| ( ( a_select3 @ pminus_ds1_filter @ X4 @ X5 )
= ( a_select3 @ pminus_ds1_filter @ X5 @ X4 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl121,zip_derived_cl5436,zip_derived_cl5436]) ).
thf(zip_derived_cl5518_247,plain,
! [X0: $i,X1: $i] :
( ~ ( leq @ X0 @ n5 )
| ~ ( leq @ n0 @ X0 )
| ~ ( leq @ n0 @ X1 )
| ~ ( leq @ X1 @ n5 )
| ( ( a_select3 @ q_ds1_filter @ X0 @ X1 )
= ( a_select3 @ q_ds1_filter @ X1 @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl119,zip_derived_cl5436,zip_derived_cl5436]) ).
thf(zip_derived_cl237,plain,
( ( ( a_select3 @ q_ds1_filter @ sk__27 @ sk__28 )
!= ( a_select3 @ q_ds1_filter @ sk__28 @ sk__27 ) )
| ( leq @ n0 @ sk__29 )
| ( ( a_select3 @ pminus_ds1_filter @ sk__31 @ sk__32 )
!= ( a_select3 @ pminus_ds1_filter @ sk__32 @ sk__31 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl8392,plain,
( ~ ( leq @ sk__28 @ n5 )
| ~ ( leq @ n0 @ sk__28 )
| ~ ( leq @ n0 @ sk__27 )
| ~ ( leq @ sk__27 @ n5 )
| ( ( a_select3 @ q_ds1_filter @ sk__27 @ sk__28 )
!= ( a_select3 @ q_ds1_filter @ sk__27 @ sk__28 ) )
| ( leq @ n0 @ sk__29 )
| ( ( a_select3 @ pminus_ds1_filter @ sk__31 @ sk__32 )
!= ( a_select3 @ pminus_ds1_filter @ sk__32 @ sk__31 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl5518,zip_derived_cl237]) ).
thf(zip_derived_cl8422,plain,
( ( ( a_select3 @ pminus_ds1_filter @ sk__31 @ sk__32 )
!= ( a_select3 @ pminus_ds1_filter @ sk__32 @ sk__31 ) )
| ( leq @ n0 @ sk__29 )
| ~ ( leq @ sk__27 @ n5 )
| ~ ( leq @ n0 @ sk__27 )
| ~ ( leq @ n0 @ sk__28 )
| ~ ( leq @ sk__28 @ n5 ) ),
inference(simplify,[status(thm)],[zip_derived_cl8392]) ).
thf(zip_derived_cl137,plain,
( ( leq @ sk__27 @ ( minus @ n6 @ n1 ) )
| ( leq @ n0 @ sk__29 )
| ( ( a_select3 @ pminus_ds1_filter @ sk__31 @ sk__32 )
!= ( a_select3 @ pminus_ds1_filter @ sk__32 @ sk__31 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl5436_248,plain,
( ( minus @ n6 @ n1 )
= n5 ),
inference('s_sup+',[status(thm)],[zip_derived_cl5405,zip_derived_cl2228]) ).
thf(zip_derived_cl5530,plain,
( ( leq @ sk__27 @ n5 )
| ( leq @ n0 @ sk__29 )
| ( ( a_select3 @ pminus_ds1_filter @ sk__31 @ sk__32 )
!= ( a_select3 @ pminus_ds1_filter @ sk__32 @ sk__31 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl137,zip_derived_cl5436]) ).
thf(zip_derived_cl41187,plain,
( ~ ( leq @ sk__28 @ n5 )
| ~ ( leq @ n0 @ sk__28 )
| ~ ( leq @ n0 @ sk__27 )
| ( leq @ n0 @ sk__29 )
| ( ( a_select3 @ pminus_ds1_filter @ sk__31 @ sk__32 )
!= ( a_select3 @ pminus_ds1_filter @ sk__32 @ sk__31 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl8422,zip_derived_cl5530]) ).
thf(zip_derived_cl212,plain,
( ( leq @ sk__28 @ ( minus @ n6 @ n1 ) )
| ( leq @ n0 @ sk__29 )
| ( ( a_select3 @ pminus_ds1_filter @ sk__31 @ sk__32 )
!= ( a_select3 @ pminus_ds1_filter @ sk__32 @ sk__31 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl5436_249,plain,
( ( minus @ n6 @ n1 )
= n5 ),
inference('s_sup+',[status(thm)],[zip_derived_cl5405,zip_derived_cl2228]) ).
thf(zip_derived_cl5557,plain,
( ( leq @ sk__28 @ n5 )
| ( leq @ n0 @ sk__29 )
| ( ( a_select3 @ pminus_ds1_filter @ sk__31 @ sk__32 )
!= ( a_select3 @ pminus_ds1_filter @ sk__32 @ sk__31 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl212,zip_derived_cl5436]) ).
thf(zip_derived_cl41188,plain,
( ( ( a_select3 @ pminus_ds1_filter @ sk__31 @ sk__32 )
!= ( a_select3 @ pminus_ds1_filter @ sk__32 @ sk__31 ) )
| ( leq @ n0 @ sk__29 )
| ~ ( leq @ n0 @ sk__27 )
| ~ ( leq @ n0 @ sk__28 ) ),
inference(clc,[status(thm)],[zip_derived_cl41187,zip_derived_cl5557]) ).
thf(zip_derived_cl6704_250,plain,
( ( ( a_select3 @ pminus_ds1_filter @ sk__31 @ sk__32 )
!= ( a_select3 @ pminus_ds1_filter @ sk__32 @ sk__31 ) )
| ( leq @ n0 @ sk__27 ) ),
inference(clc,[status(thm)],[zip_derived_cl6703,zip_derived_cl157]) ).
thf(zip_derived_cl41189,plain,
( ~ ( leq @ n0 @ sk__28 )
| ( leq @ n0 @ sk__29 )
| ( ( a_select3 @ pminus_ds1_filter @ sk__31 @ sk__32 )
!= ( a_select3 @ pminus_ds1_filter @ sk__32 @ sk__31 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl41188,zip_derived_cl6704]) ).
thf(zip_derived_cl7030_251,plain,
( ( ( a_select3 @ pminus_ds1_filter @ sk__31 @ sk__32 )
!= ( a_select3 @ pminus_ds1_filter @ sk__32 @ sk__31 ) )
| ( leq @ n0 @ sk__28 ) ),
inference(clc,[status(thm)],[zip_derived_cl7029,zip_derived_cl182]) ).
thf(zip_derived_cl41190,plain,
( ( ( a_select3 @ pminus_ds1_filter @ sk__31 @ sk__32 )
!= ( a_select3 @ pminus_ds1_filter @ sk__32 @ sk__31 ) )
| ( leq @ n0 @ sk__29 ) ),
inference(clc,[status(thm)],[zip_derived_cl41189,zip_derived_cl7030]) ).
thf(zip_derived_cl41191,plain,
( ~ ( leq @ sk__32 @ n5 )
| ~ ( leq @ n0 @ sk__32 )
| ~ ( leq @ n0 @ sk__31 )
| ~ ( leq @ sk__31 @ n5 )
| ( ( a_select3 @ pminus_ds1_filter @ sk__31 @ sk__32 )
!= ( a_select3 @ pminus_ds1_filter @ sk__31 @ sk__32 ) )
| ( leq @ n0 @ sk__29 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl5519,zip_derived_cl41190]) ).
thf(zip_derived_cl41193,plain,
( ( leq @ n0 @ sk__29 )
| ~ ( leq @ sk__31 @ n5 )
| ~ ( leq @ n0 @ sk__31 )
| ~ ( leq @ n0 @ sk__32 )
| ~ ( leq @ sk__32 @ n5 ) ),
inference(simplify,[status(thm)],[zip_derived_cl41191]) ).
thf(zip_derived_cl44352_252,plain,
leq @ n0 @ sk__31,
inference(clc,[status(thm)],[zip_derived_cl44351,zip_derived_cl41443]) ).
thf(zip_derived_cl43957_253,plain,
leq @ n0 @ sk__32,
inference(clc,[status(thm)],[zip_derived_cl43956,zip_derived_cl41200]) ).
thf(zip_derived_cl50605,plain,
( ( leq @ n0 @ sk__29 )
| ~ ( leq @ sk__31 @ n5 )
| ~ ( leq @ sk__32 @ n5 ) ),
inference(demod,[status(thm)],[zip_derived_cl41193,zip_derived_cl44352,zip_derived_cl43957]) ).
thf(zip_derived_cl5518_254,plain,
! [X0: $i,X1: $i] :
( ~ ( leq @ X0 @ n5 )
| ~ ( leq @ n0 @ X0 )
| ~ ( leq @ n0 @ X1 )
| ~ ( leq @ X1 @ n5 )
| ( ( a_select3 @ q_ds1_filter @ X0 @ X1 )
= ( a_select3 @ q_ds1_filter @ X1 @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl119,zip_derived_cl5436,zip_derived_cl5436]) ).
thf(zip_derived_cl241,plain,
( ( ( a_select3 @ q_ds1_filter @ sk__27 @ sk__28 )
!= ( a_select3 @ q_ds1_filter @ sk__28 @ sk__27 ) )
| ( leq @ n0 @ sk__29 )
| ( leq @ sk__31 @ ( minus @ n6 @ n1 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl5436_255,plain,
( ( minus @ n6 @ n1 )
= n5 ),
inference('s_sup+',[status(thm)],[zip_derived_cl5405,zip_derived_cl2228]) ).
thf(zip_derived_cl5567,plain,
( ( ( a_select3 @ q_ds1_filter @ sk__27 @ sk__28 )
!= ( a_select3 @ q_ds1_filter @ sk__28 @ sk__27 ) )
| ( leq @ n0 @ sk__29 )
| ( leq @ sk__31 @ n5 ) ),
inference(demod,[status(thm)],[zip_derived_cl241,zip_derived_cl5436]) ).
thf(zip_derived_cl9206,plain,
( ~ ( leq @ sk__28 @ n5 )
| ~ ( leq @ n0 @ sk__28 )
| ~ ( leq @ n0 @ sk__27 )
| ~ ( leq @ sk__27 @ n5 )
| ( ( a_select3 @ q_ds1_filter @ sk__27 @ sk__28 )
!= ( a_select3 @ q_ds1_filter @ sk__27 @ sk__28 ) )
| ( leq @ n0 @ sk__29 )
| ( leq @ sk__31 @ n5 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl5518,zip_derived_cl5567]) ).
thf(zip_derived_cl9208,plain,
( ( leq @ sk__31 @ n5 )
| ( leq @ n0 @ sk__29 )
| ~ ( leq @ sk__27 @ n5 )
| ~ ( leq @ n0 @ sk__27 )
| ~ ( leq @ n0 @ sk__28 )
| ~ ( leq @ sk__28 @ n5 ) ),
inference(simplify,[status(thm)],[zip_derived_cl9206]) ).
thf(zip_derived_cl45954_256,plain,
leq @ n0 @ sk__27,
inference(clc,[status(thm)],[zip_derived_cl45943,zip_derived_cl45621]) ).
thf(zip_derived_cl46938_257,plain,
leq @ n0 @ sk__28,
inference(clc,[status(thm)],[zip_derived_cl46732,zip_derived_cl46129]) ).
thf(zip_derived_cl47718,plain,
( ( leq @ sk__31 @ n5 )
| ( leq @ n0 @ sk__29 )
| ~ ( leq @ sk__27 @ n5 )
| ~ ( leq @ sk__28 @ n5 ) ),
inference(demod,[status(thm)],[zip_derived_cl9208,zip_derived_cl45954,zip_derived_cl46938]) ).
thf(zip_derived_cl5519_258,plain,
! [X4: $i,X5: $i] :
( ~ ( leq @ X4 @ n5 )
| ~ ( leq @ n0 @ X4 )
| ~ ( leq @ n0 @ X5 )
| ~ ( leq @ X5 @ n5 )
| ( ( a_select3 @ pminus_ds1_filter @ X4 @ X5 )
= ( a_select3 @ pminus_ds1_filter @ X5 @ X4 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl121,zip_derived_cl5436,zip_derived_cl5436]) ).
thf(zip_derived_cl5530_259,plain,
( ( leq @ sk__27 @ n5 )
| ( leq @ n0 @ sk__29 )
| ( ( a_select3 @ pminus_ds1_filter @ sk__31 @ sk__32 )
!= ( a_select3 @ pminus_ds1_filter @ sk__32 @ sk__31 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl137,zip_derived_cl5436]) ).
thf(zip_derived_cl8589,plain,
( ~ ( leq @ sk__32 @ n5 )
| ~ ( leq @ n0 @ sk__32 )
| ~ ( leq @ n0 @ sk__31 )
| ~ ( leq @ sk__31 @ n5 )
| ( leq @ sk__27 @ n5 )
| ( leq @ n0 @ sk__29 )
| ( ( a_select3 @ pminus_ds1_filter @ sk__31 @ sk__32 )
!= ( a_select3 @ pminus_ds1_filter @ sk__31 @ sk__32 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl5519,zip_derived_cl5530]) ).
thf(zip_derived_cl8591,plain,
( ( leq @ n0 @ sk__29 )
| ( leq @ sk__27 @ n5 )
| ~ ( leq @ sk__31 @ n5 )
| ~ ( leq @ n0 @ sk__31 )
| ~ ( leq @ n0 @ sk__32 )
| ~ ( leq @ sk__32 @ n5 ) ),
inference(simplify,[status(thm)],[zip_derived_cl8589]) ).
thf(zip_derived_cl44352_260,plain,
leq @ n0 @ sk__31,
inference(clc,[status(thm)],[zip_derived_cl44351,zip_derived_cl41443]) ).
thf(zip_derived_cl43957_261,plain,
leq @ n0 @ sk__32,
inference(clc,[status(thm)],[zip_derived_cl43956,zip_derived_cl41200]) ).
thf(zip_derived_cl45597,plain,
( ( leq @ n0 @ sk__29 )
| ( leq @ sk__27 @ n5 )
| ~ ( leq @ sk__31 @ n5 )
| ~ ( leq @ sk__32 @ n5 ) ),
inference(demod,[status(thm)],[zip_derived_cl8591,zip_derived_cl44352,zip_derived_cl43957]) ).
thf(zip_derived_cl44757_262,plain,
( ( leq @ sk__31 @ n5 )
| ( leq @ sk__27 @ n5 ) ),
inference(clc,[status(thm)],[zip_derived_cl44756,zip_derived_cl5529]) ).
thf(zip_derived_cl45598,plain,
( ~ ( leq @ sk__32 @ n5 )
| ( leq @ sk__27 @ n5 )
| ( leq @ n0 @ sk__29 ) ),
inference(clc,[status(thm)],[zip_derived_cl45597,zip_derived_cl44757]) ).
thf(zip_derived_cl43749_263,plain,
( ( leq @ sk__32 @ n5 )
| ( leq @ sk__27 @ n5 ) ),
inference(clc,[status(thm)],[zip_derived_cl43748,zip_derived_cl5526]) ).
thf(zip_derived_cl45599,plain,
( ( leq @ n0 @ sk__29 )
| ( leq @ sk__27 @ n5 ) ),
inference(clc,[status(thm)],[zip_derived_cl45598,zip_derived_cl43749]) ).
thf(zip_derived_cl47719,plain,
( ~ ( leq @ sk__28 @ n5 )
| ( leq @ n0 @ sk__29 )
| ( leq @ sk__31 @ n5 ) ),
inference(clc,[status(thm)],[zip_derived_cl47718,zip_derived_cl45599]) ).
thf(zip_derived_cl5519_264,plain,
! [X4: $i,X5: $i] :
( ~ ( leq @ X4 @ n5 )
| ~ ( leq @ n0 @ X4 )
| ~ ( leq @ n0 @ X5 )
| ~ ( leq @ X5 @ n5 )
| ( ( a_select3 @ pminus_ds1_filter @ X4 @ X5 )
= ( a_select3 @ pminus_ds1_filter @ X5 @ X4 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl121,zip_derived_cl5436,zip_derived_cl5436]) ).
thf(zip_derived_cl5557_265,plain,
( ( leq @ sk__28 @ n5 )
| ( leq @ n0 @ sk__29 )
| ( ( a_select3 @ pminus_ds1_filter @ sk__31 @ sk__32 )
!= ( a_select3 @ pminus_ds1_filter @ sk__32 @ sk__31 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl212,zip_derived_cl5436]) ).
thf(zip_derived_cl9074,plain,
( ~ ( leq @ sk__32 @ n5 )
| ~ ( leq @ n0 @ sk__32 )
| ~ ( leq @ n0 @ sk__31 )
| ~ ( leq @ sk__31 @ n5 )
| ( leq @ sk__28 @ n5 )
| ( leq @ n0 @ sk__29 )
| ( ( a_select3 @ pminus_ds1_filter @ sk__31 @ sk__32 )
!= ( a_select3 @ pminus_ds1_filter @ sk__31 @ sk__32 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl5519,zip_derived_cl5557]) ).
thf(zip_derived_cl9076,plain,
( ( leq @ n0 @ sk__29 )
| ( leq @ sk__28 @ n5 )
| ~ ( leq @ sk__31 @ n5 )
| ~ ( leq @ n0 @ sk__31 )
| ~ ( leq @ n0 @ sk__32 )
| ~ ( leq @ sk__32 @ n5 ) ),
inference(simplify,[status(thm)],[zip_derived_cl9074]) ).
thf(zip_derived_cl44352_266,plain,
leq @ n0 @ sk__31,
inference(clc,[status(thm)],[zip_derived_cl44351,zip_derived_cl41443]) ).
thf(zip_derived_cl43957_267,plain,
leq @ n0 @ sk__32,
inference(clc,[status(thm)],[zip_derived_cl43956,zip_derived_cl41200]) ).
thf(zip_derived_cl47468,plain,
( ( leq @ n0 @ sk__29 )
| ( leq @ sk__28 @ n5 )
| ~ ( leq @ sk__31 @ n5 )
| ~ ( leq @ sk__32 @ n5 ) ),
inference(demod,[status(thm)],[zip_derived_cl9076,zip_derived_cl44352,zip_derived_cl43957]) ).
thf(zip_derived_cl47406_268,plain,
( ( leq @ sk__31 @ n5 )
| ( leq @ sk__28 @ n5 ) ),
inference(clc,[status(thm)],[zip_derived_cl47405,zip_derived_cl5556]) ).
thf(zip_derived_cl47469,plain,
( ~ ( leq @ sk__32 @ n5 )
| ( leq @ sk__28 @ n5 )
| ( leq @ n0 @ sk__29 ) ),
inference(clc,[status(thm)],[zip_derived_cl47468,zip_derived_cl47406]) ).
thf(zip_derived_cl47124_269,plain,
( ( leq @ sk__32 @ n5 )
| ( leq @ sk__28 @ n5 ) ),
inference(clc,[status(thm)],[zip_derived_cl47123,zip_derived_cl5553]) ).
thf(zip_derived_cl47470,plain,
( ( leq @ n0 @ sk__29 )
| ( leq @ sk__28 @ n5 ) ),
inference(clc,[status(thm)],[zip_derived_cl47469,zip_derived_cl47124]) ).
thf(zip_derived_cl47720,plain,
( ( leq @ sk__31 @ n5 )
| ( leq @ n0 @ sk__29 ) ),
inference(clc,[status(thm)],[zip_derived_cl47719,zip_derived_cl47470]) ).
thf(zip_derived_cl50606,plain,
( ~ ( leq @ sk__32 @ n5 )
| ( leq @ n0 @ sk__29 ) ),
inference(clc,[status(thm)],[zip_derived_cl50605,zip_derived_cl47720]) ).
thf(zip_derived_cl5518_270,plain,
! [X0: $i,X1: $i] :
( ~ ( leq @ X0 @ n5 )
| ~ ( leq @ n0 @ X0 )
| ~ ( leq @ n0 @ X1 )
| ~ ( leq @ X1 @ n5 )
| ( ( a_select3 @ q_ds1_filter @ X0 @ X1 )
= ( a_select3 @ q_ds1_filter @ X1 @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl119,zip_derived_cl5436,zip_derived_cl5436]) ).
thf(zip_derived_cl238,plain,
( ( ( a_select3 @ q_ds1_filter @ sk__27 @ sk__28 )
!= ( a_select3 @ q_ds1_filter @ sk__28 @ sk__27 ) )
| ( leq @ n0 @ sk__29 )
| ( leq @ sk__32 @ ( minus @ n6 @ n1 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl5436_271,plain,
( ( minus @ n6 @ n1 )
= n5 ),
inference('s_sup+',[status(thm)],[zip_derived_cl5405,zip_derived_cl2228]) ).
thf(zip_derived_cl5566,plain,
( ( ( a_select3 @ q_ds1_filter @ sk__27 @ sk__28 )
!= ( a_select3 @ q_ds1_filter @ sk__28 @ sk__27 ) )
| ( leq @ n0 @ sk__29 )
| ( leq @ sk__32 @ n5 ) ),
inference(demod,[status(thm)],[zip_derived_cl238,zip_derived_cl5436]) ).
thf(zip_derived_cl9195,plain,
( ~ ( leq @ sk__28 @ n5 )
| ~ ( leq @ n0 @ sk__28 )
| ~ ( leq @ n0 @ sk__27 )
| ~ ( leq @ sk__27 @ n5 )
| ( ( a_select3 @ q_ds1_filter @ sk__27 @ sk__28 )
!= ( a_select3 @ q_ds1_filter @ sk__27 @ sk__28 ) )
| ( leq @ n0 @ sk__29 )
| ( leq @ sk__32 @ n5 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl5518,zip_derived_cl5566]) ).
thf(zip_derived_cl9197,plain,
( ( leq @ sk__32 @ n5 )
| ( leq @ n0 @ sk__29 )
| ~ ( leq @ sk__27 @ n5 )
| ~ ( leq @ n0 @ sk__27 )
| ~ ( leq @ n0 @ sk__28 )
| ~ ( leq @ sk__28 @ n5 ) ),
inference(simplify,[status(thm)],[zip_derived_cl9195]) ).
thf(zip_derived_cl45954_272,plain,
leq @ n0 @ sk__27,
inference(clc,[status(thm)],[zip_derived_cl45943,zip_derived_cl45621]) ).
thf(zip_derived_cl46938_273,plain,
leq @ n0 @ sk__28,
inference(clc,[status(thm)],[zip_derived_cl46732,zip_derived_cl46129]) ).
thf(zip_derived_cl47613,plain,
( ( leq @ sk__32 @ n5 )
| ( leq @ n0 @ sk__29 )
| ~ ( leq @ sk__27 @ n5 )
| ~ ( leq @ sk__28 @ n5 ) ),
inference(demod,[status(thm)],[zip_derived_cl9197,zip_derived_cl45954,zip_derived_cl46938]) ).
thf(zip_derived_cl45599_274,plain,
( ( leq @ n0 @ sk__29 )
| ( leq @ sk__27 @ n5 ) ),
inference(clc,[status(thm)],[zip_derived_cl45598,zip_derived_cl43749]) ).
thf(zip_derived_cl47614,plain,
( ~ ( leq @ sk__28 @ n5 )
| ( leq @ n0 @ sk__29 )
| ( leq @ sk__32 @ n5 ) ),
inference(clc,[status(thm)],[zip_derived_cl47613,zip_derived_cl45599]) ).
thf(zip_derived_cl47470_275,plain,
( ( leq @ n0 @ sk__29 )
| ( leq @ sk__28 @ n5 ) ),
inference(clc,[status(thm)],[zip_derived_cl47469,zip_derived_cl47124]) ).
thf(zip_derived_cl47615,plain,
( ( leq @ sk__32 @ n5 )
| ( leq @ n0 @ sk__29 ) ),
inference(clc,[status(thm)],[zip_derived_cl47614,zip_derived_cl47470]) ).
thf(zip_derived_cl50607,plain,
leq @ n0 @ sk__29,
inference(clc,[status(thm)],[zip_derived_cl50606,zip_derived_cl47615]) ).
thf(zip_derived_cl5519_276,plain,
! [X4: $i,X5: $i] :
( ~ ( leq @ X4 @ n5 )
| ~ ( leq @ n0 @ X4 )
| ~ ( leq @ n0 @ X5 )
| ~ ( leq @ X5 @ n5 )
| ( ( a_select3 @ pminus_ds1_filter @ X4 @ X5 )
= ( a_select3 @ pminus_ds1_filter @ X5 @ X4 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl121,zip_derived_cl5436,zip_derived_cl5436]) ).
thf(zip_derived_cl5518_277,plain,
! [X0: $i,X1: $i] :
( ~ ( leq @ X0 @ n5 )
| ~ ( leq @ n0 @ X0 )
| ~ ( leq @ n0 @ X1 )
| ~ ( leq @ X1 @ n5 )
| ( ( a_select3 @ q_ds1_filter @ X0 @ X1 )
= ( a_select3 @ q_ds1_filter @ X1 @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl119,zip_derived_cl5436,zip_derived_cl5436]) ).
thf(zip_derived_cl232,plain,
( ( ( a_select3 @ q_ds1_filter @ sk__27 @ sk__28 )
!= ( a_select3 @ q_ds1_filter @ sk__28 @ sk__27 ) )
| ( leq @ n0 @ sk__30 )
| ( ( a_select3 @ pminus_ds1_filter @ sk__31 @ sk__32 )
!= ( a_select3 @ pminus_ds1_filter @ sk__32 @ sk__31 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl8389,plain,
( ~ ( leq @ sk__28 @ n5 )
| ~ ( leq @ n0 @ sk__28 )
| ~ ( leq @ n0 @ sk__27 )
| ~ ( leq @ sk__27 @ n5 )
| ( ( a_select3 @ q_ds1_filter @ sk__27 @ sk__28 )
!= ( a_select3 @ q_ds1_filter @ sk__27 @ sk__28 ) )
| ( leq @ n0 @ sk__30 )
| ( ( a_select3 @ pminus_ds1_filter @ sk__31 @ sk__32 )
!= ( a_select3 @ pminus_ds1_filter @ sk__32 @ sk__31 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl5518,zip_derived_cl232]) ).
thf(zip_derived_cl8419,plain,
( ( ( a_select3 @ pminus_ds1_filter @ sk__31 @ sk__32 )
!= ( a_select3 @ pminus_ds1_filter @ sk__32 @ sk__31 ) )
| ( leq @ n0 @ sk__30 )
| ~ ( leq @ sk__27 @ n5 )
| ~ ( leq @ n0 @ sk__27 )
| ~ ( leq @ n0 @ sk__28 )
| ~ ( leq @ sk__28 @ n5 ) ),
inference(simplify,[status(thm)],[zip_derived_cl8389]) ).
thf(zip_derived_cl132,plain,
( ( leq @ sk__27 @ ( minus @ n6 @ n1 ) )
| ( leq @ n0 @ sk__30 )
| ( ( a_select3 @ pminus_ds1_filter @ sk__31 @ sk__32 )
!= ( a_select3 @ pminus_ds1_filter @ sk__32 @ sk__31 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl5436_278,plain,
( ( minus @ n6 @ n1 )
= n5 ),
inference('s_sup+',[status(thm)],[zip_derived_cl5405,zip_derived_cl2228]) ).
thf(zip_derived_cl5525,plain,
( ( leq @ sk__27 @ n5 )
| ( leq @ n0 @ sk__30 )
| ( ( a_select3 @ pminus_ds1_filter @ sk__31 @ sk__32 )
!= ( a_select3 @ pminus_ds1_filter @ sk__32 @ sk__31 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl132,zip_derived_cl5436]) ).
thf(zip_derived_cl40971,plain,
( ~ ( leq @ sk__28 @ n5 )
| ~ ( leq @ n0 @ sk__28 )
| ~ ( leq @ n0 @ sk__27 )
| ( leq @ n0 @ sk__30 )
| ( ( a_select3 @ pminus_ds1_filter @ sk__31 @ sk__32 )
!= ( a_select3 @ pminus_ds1_filter @ sk__32 @ sk__31 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl8419,zip_derived_cl5525]) ).
thf(zip_derived_cl207,plain,
( ( leq @ sk__28 @ ( minus @ n6 @ n1 ) )
| ( leq @ n0 @ sk__30 )
| ( ( a_select3 @ pminus_ds1_filter @ sk__31 @ sk__32 )
!= ( a_select3 @ pminus_ds1_filter @ sk__32 @ sk__31 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl5436_279,plain,
( ( minus @ n6 @ n1 )
= n5 ),
inference('s_sup+',[status(thm)],[zip_derived_cl5405,zip_derived_cl2228]) ).
thf(zip_derived_cl5552,plain,
( ( leq @ sk__28 @ n5 )
| ( leq @ n0 @ sk__30 )
| ( ( a_select3 @ pminus_ds1_filter @ sk__31 @ sk__32 )
!= ( a_select3 @ pminus_ds1_filter @ sk__32 @ sk__31 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl207,zip_derived_cl5436]) ).
thf(zip_derived_cl40972,plain,
( ( ( a_select3 @ pminus_ds1_filter @ sk__31 @ sk__32 )
!= ( a_select3 @ pminus_ds1_filter @ sk__32 @ sk__31 ) )
| ( leq @ n0 @ sk__30 )
| ~ ( leq @ n0 @ sk__27 )
| ~ ( leq @ n0 @ sk__28 ) ),
inference(clc,[status(thm)],[zip_derived_cl40971,zip_derived_cl5552]) ).
thf(zip_derived_cl6704_280,plain,
( ( ( a_select3 @ pminus_ds1_filter @ sk__31 @ sk__32 )
!= ( a_select3 @ pminus_ds1_filter @ sk__32 @ sk__31 ) )
| ( leq @ n0 @ sk__27 ) ),
inference(clc,[status(thm)],[zip_derived_cl6703,zip_derived_cl157]) ).
thf(zip_derived_cl40973,plain,
( ~ ( leq @ n0 @ sk__28 )
| ( leq @ n0 @ sk__30 )
| ( ( a_select3 @ pminus_ds1_filter @ sk__31 @ sk__32 )
!= ( a_select3 @ pminus_ds1_filter @ sk__32 @ sk__31 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl40972,zip_derived_cl6704]) ).
thf(zip_derived_cl7030_281,plain,
( ( ( a_select3 @ pminus_ds1_filter @ sk__31 @ sk__32 )
!= ( a_select3 @ pminus_ds1_filter @ sk__32 @ sk__31 ) )
| ( leq @ n0 @ sk__28 ) ),
inference(clc,[status(thm)],[zip_derived_cl7029,zip_derived_cl182]) ).
thf(zip_derived_cl40974,plain,
( ( ( a_select3 @ pminus_ds1_filter @ sk__31 @ sk__32 )
!= ( a_select3 @ pminus_ds1_filter @ sk__32 @ sk__31 ) )
| ( leq @ n0 @ sk__30 ) ),
inference(clc,[status(thm)],[zip_derived_cl40973,zip_derived_cl7030]) ).
thf(zip_derived_cl40975,plain,
( ~ ( leq @ sk__32 @ n5 )
| ~ ( leq @ n0 @ sk__32 )
| ~ ( leq @ n0 @ sk__31 )
| ~ ( leq @ sk__31 @ n5 )
| ( ( a_select3 @ pminus_ds1_filter @ sk__31 @ sk__32 )
!= ( a_select3 @ pminus_ds1_filter @ sk__31 @ sk__32 ) )
| ( leq @ n0 @ sk__30 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl5519,zip_derived_cl40974]) ).
thf(zip_derived_cl40977,plain,
( ( leq @ n0 @ sk__30 )
| ~ ( leq @ sk__31 @ n5 )
| ~ ( leq @ n0 @ sk__31 )
| ~ ( leq @ n0 @ sk__32 )
| ~ ( leq @ sk__32 @ n5 ) ),
inference(simplify,[status(thm)],[zip_derived_cl40975]) ).
thf(zip_derived_cl44352_282,plain,
leq @ n0 @ sk__31,
inference(clc,[status(thm)],[zip_derived_cl44351,zip_derived_cl41443]) ).
thf(zip_derived_cl43957_283,plain,
leq @ n0 @ sk__32,
inference(clc,[status(thm)],[zip_derived_cl43956,zip_derived_cl41200]) ).
thf(zip_derived_cl50145,plain,
( ( leq @ n0 @ sk__30 )
| ~ ( leq @ sk__31 @ n5 )
| ~ ( leq @ sk__32 @ n5 ) ),
inference(demod,[status(thm)],[zip_derived_cl40977,zip_derived_cl44352,zip_derived_cl43957]) ).
thf(zip_derived_cl5518_284,plain,
! [X0: $i,X1: $i] :
( ~ ( leq @ X0 @ n5 )
| ~ ( leq @ n0 @ X0 )
| ~ ( leq @ n0 @ X1 )
| ~ ( leq @ X1 @ n5 )
| ( ( a_select3 @ q_ds1_filter @ X0 @ X1 )
= ( a_select3 @ q_ds1_filter @ X1 @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl119,zip_derived_cl5436,zip_derived_cl5436]) ).
thf(zip_derived_cl236,plain,
( ( ( a_select3 @ q_ds1_filter @ sk__27 @ sk__28 )
!= ( a_select3 @ q_ds1_filter @ sk__28 @ sk__27 ) )
| ( leq @ n0 @ sk__30 )
| ( leq @ sk__31 @ ( minus @ n6 @ n1 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl5436_285,plain,
( ( minus @ n6 @ n1 )
= n5 ),
inference('s_sup+',[status(thm)],[zip_derived_cl5405,zip_derived_cl2228]) ).
thf(zip_derived_cl5565,plain,
( ( ( a_select3 @ q_ds1_filter @ sk__27 @ sk__28 )
!= ( a_select3 @ q_ds1_filter @ sk__28 @ sk__27 ) )
| ( leq @ n0 @ sk__30 )
| ( leq @ sk__31 @ n5 ) ),
inference(demod,[status(thm)],[zip_derived_cl236,zip_derived_cl5436]) ).
thf(zip_derived_cl9185,plain,
( ~ ( leq @ sk__28 @ n5 )
| ~ ( leq @ n0 @ sk__28 )
| ~ ( leq @ n0 @ sk__27 )
| ~ ( leq @ sk__27 @ n5 )
| ( ( a_select3 @ q_ds1_filter @ sk__27 @ sk__28 )
!= ( a_select3 @ q_ds1_filter @ sk__27 @ sk__28 ) )
| ( leq @ n0 @ sk__30 )
| ( leq @ sk__31 @ n5 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl5518,zip_derived_cl5565]) ).
thf(zip_derived_cl9187,plain,
( ( leq @ sk__31 @ n5 )
| ( leq @ n0 @ sk__30 )
| ~ ( leq @ sk__27 @ n5 )
| ~ ( leq @ n0 @ sk__27 )
| ~ ( leq @ n0 @ sk__28 )
| ~ ( leq @ sk__28 @ n5 ) ),
inference(simplify,[status(thm)],[zip_derived_cl9185]) ).
thf(zip_derived_cl45954_286,plain,
leq @ n0 @ sk__27,
inference(clc,[status(thm)],[zip_derived_cl45943,zip_derived_cl45621]) ).
thf(zip_derived_cl46938_287,plain,
leq @ n0 @ sk__28,
inference(clc,[status(thm)],[zip_derived_cl46732,zip_derived_cl46129]) ).
thf(zip_derived_cl47589,plain,
( ( leq @ sk__31 @ n5 )
| ( leq @ n0 @ sk__30 )
| ~ ( leq @ sk__27 @ n5 )
| ~ ( leq @ sk__28 @ n5 ) ),
inference(demod,[status(thm)],[zip_derived_cl9187,zip_derived_cl45954,zip_derived_cl46938]) ).
thf(zip_derived_cl5519_288,plain,
! [X4: $i,X5: $i] :
( ~ ( leq @ X4 @ n5 )
| ~ ( leq @ n0 @ X4 )
| ~ ( leq @ n0 @ X5 )
| ~ ( leq @ X5 @ n5 )
| ( ( a_select3 @ pminus_ds1_filter @ X4 @ X5 )
= ( a_select3 @ pminus_ds1_filter @ X5 @ X4 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl121,zip_derived_cl5436,zip_derived_cl5436]) ).
thf(zip_derived_cl5525_289,plain,
( ( leq @ sk__27 @ n5 )
| ( leq @ n0 @ sk__30 )
| ( ( a_select3 @ pminus_ds1_filter @ sk__31 @ sk__32 )
!= ( a_select3 @ pminus_ds1_filter @ sk__32 @ sk__31 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl132,zip_derived_cl5436]) ).
thf(zip_derived_cl8562,plain,
( ~ ( leq @ sk__32 @ n5 )
| ~ ( leq @ n0 @ sk__32 )
| ~ ( leq @ n0 @ sk__31 )
| ~ ( leq @ sk__31 @ n5 )
| ( leq @ sk__27 @ n5 )
| ( leq @ n0 @ sk__30 )
| ( ( a_select3 @ pminus_ds1_filter @ sk__31 @ sk__32 )
!= ( a_select3 @ pminus_ds1_filter @ sk__31 @ sk__32 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl5519,zip_derived_cl5525]) ).
thf(zip_derived_cl8564,plain,
( ( leq @ n0 @ sk__30 )
| ( leq @ sk__27 @ n5 )
| ~ ( leq @ sk__31 @ n5 )
| ~ ( leq @ n0 @ sk__31 )
| ~ ( leq @ n0 @ sk__32 )
| ~ ( leq @ sk__32 @ n5 ) ),
inference(simplify,[status(thm)],[zip_derived_cl8562]) ).
thf(zip_derived_cl44352_290,plain,
leq @ n0 @ sk__31,
inference(clc,[status(thm)],[zip_derived_cl44351,zip_derived_cl41443]) ).
thf(zip_derived_cl43957_291,plain,
leq @ n0 @ sk__32,
inference(clc,[status(thm)],[zip_derived_cl43956,zip_derived_cl41200]) ).
thf(zip_derived_cl44880,plain,
( ( leq @ n0 @ sk__30 )
| ( leq @ sk__27 @ n5 )
| ~ ( leq @ sk__31 @ n5 )
| ~ ( leq @ sk__32 @ n5 ) ),
inference(demod,[status(thm)],[zip_derived_cl8564,zip_derived_cl44352,zip_derived_cl43957]) ).
thf(zip_derived_cl44757_292,plain,
( ( leq @ sk__31 @ n5 )
| ( leq @ sk__27 @ n5 ) ),
inference(clc,[status(thm)],[zip_derived_cl44756,zip_derived_cl5529]) ).
thf(zip_derived_cl44881,plain,
( ~ ( leq @ sk__32 @ n5 )
| ( leq @ sk__27 @ n5 )
| ( leq @ n0 @ sk__30 ) ),
inference(clc,[status(thm)],[zip_derived_cl44880,zip_derived_cl44757]) ).
thf(zip_derived_cl43749_293,plain,
( ( leq @ sk__32 @ n5 )
| ( leq @ sk__27 @ n5 ) ),
inference(clc,[status(thm)],[zip_derived_cl43748,zip_derived_cl5526]) ).
thf(zip_derived_cl44882,plain,
( ( leq @ n0 @ sk__30 )
| ( leq @ sk__27 @ n5 ) ),
inference(clc,[status(thm)],[zip_derived_cl44881,zip_derived_cl43749]) ).
thf(zip_derived_cl47590,plain,
( ~ ( leq @ sk__28 @ n5 )
| ( leq @ n0 @ sk__30 )
| ( leq @ sk__31 @ n5 ) ),
inference(clc,[status(thm)],[zip_derived_cl47589,zip_derived_cl44882]) ).
thf(zip_derived_cl5519_294,plain,
! [X4: $i,X5: $i] :
( ~ ( leq @ X4 @ n5 )
| ~ ( leq @ n0 @ X4 )
| ~ ( leq @ n0 @ X5 )
| ~ ( leq @ X5 @ n5 )
| ( ( a_select3 @ pminus_ds1_filter @ X4 @ X5 )
= ( a_select3 @ pminus_ds1_filter @ X5 @ X4 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl121,zip_derived_cl5436,zip_derived_cl5436]) ).
thf(zip_derived_cl5552_295,plain,
( ( leq @ sk__28 @ n5 )
| ( leq @ n0 @ sk__30 )
| ( ( a_select3 @ pminus_ds1_filter @ sk__31 @ sk__32 )
!= ( a_select3 @ pminus_ds1_filter @ sk__32 @ sk__31 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl207,zip_derived_cl5436]) ).
thf(zip_derived_cl9059,plain,
( ~ ( leq @ sk__32 @ n5 )
| ~ ( leq @ n0 @ sk__32 )
| ~ ( leq @ n0 @ sk__31 )
| ~ ( leq @ sk__31 @ n5 )
| ( leq @ sk__28 @ n5 )
| ( leq @ n0 @ sk__30 )
| ( ( a_select3 @ pminus_ds1_filter @ sk__31 @ sk__32 )
!= ( a_select3 @ pminus_ds1_filter @ sk__31 @ sk__32 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl5519,zip_derived_cl5552]) ).
thf(zip_derived_cl9061,plain,
( ( leq @ n0 @ sk__30 )
| ( leq @ sk__28 @ n5 )
| ~ ( leq @ sk__31 @ n5 )
| ~ ( leq @ n0 @ sk__31 )
| ~ ( leq @ n0 @ sk__32 )
| ~ ( leq @ sk__32 @ n5 ) ),
inference(simplify,[status(thm)],[zip_derived_cl9059]) ).
thf(zip_derived_cl44352_296,plain,
leq @ n0 @ sk__31,
inference(clc,[status(thm)],[zip_derived_cl44351,zip_derived_cl41443]) ).
thf(zip_derived_cl43957_297,plain,
leq @ n0 @ sk__32,
inference(clc,[status(thm)],[zip_derived_cl43956,zip_derived_cl41200]) ).
thf(zip_derived_cl47423,plain,
( ( leq @ n0 @ sk__30 )
| ( leq @ sk__28 @ n5 )
| ~ ( leq @ sk__31 @ n5 )
| ~ ( leq @ sk__32 @ n5 ) ),
inference(demod,[status(thm)],[zip_derived_cl9061,zip_derived_cl44352,zip_derived_cl43957]) ).
thf(zip_derived_cl47406_298,plain,
( ( leq @ sk__31 @ n5 )
| ( leq @ sk__28 @ n5 ) ),
inference(clc,[status(thm)],[zip_derived_cl47405,zip_derived_cl5556]) ).
thf(zip_derived_cl47424,plain,
( ~ ( leq @ sk__32 @ n5 )
| ( leq @ sk__28 @ n5 )
| ( leq @ n0 @ sk__30 ) ),
inference(clc,[status(thm)],[zip_derived_cl47423,zip_derived_cl47406]) ).
thf(zip_derived_cl47124_299,plain,
( ( leq @ sk__32 @ n5 )
| ( leq @ sk__28 @ n5 ) ),
inference(clc,[status(thm)],[zip_derived_cl47123,zip_derived_cl5553]) ).
thf(zip_derived_cl47425,plain,
( ( leq @ n0 @ sk__30 )
| ( leq @ sk__28 @ n5 ) ),
inference(clc,[status(thm)],[zip_derived_cl47424,zip_derived_cl47124]) ).
thf(zip_derived_cl47591,plain,
( ( leq @ sk__31 @ n5 )
| ( leq @ n0 @ sk__30 ) ),
inference(clc,[status(thm)],[zip_derived_cl47590,zip_derived_cl47425]) ).
thf(zip_derived_cl50146,plain,
( ~ ( leq @ sk__32 @ n5 )
| ( leq @ n0 @ sk__30 ) ),
inference(clc,[status(thm)],[zip_derived_cl50145,zip_derived_cl47591]) ).
thf(zip_derived_cl5518_300,plain,
! [X0: $i,X1: $i] :
( ~ ( leq @ X0 @ n5 )
| ~ ( leq @ n0 @ X0 )
| ~ ( leq @ n0 @ X1 )
| ~ ( leq @ X1 @ n5 )
| ( ( a_select3 @ q_ds1_filter @ X0 @ X1 )
= ( a_select3 @ q_ds1_filter @ X1 @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl119,zip_derived_cl5436,zip_derived_cl5436]) ).
thf(zip_derived_cl233,plain,
( ( ( a_select3 @ q_ds1_filter @ sk__27 @ sk__28 )
!= ( a_select3 @ q_ds1_filter @ sk__28 @ sk__27 ) )
| ( leq @ n0 @ sk__30 )
| ( leq @ sk__32 @ ( minus @ n6 @ n1 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl5436_301,plain,
( ( minus @ n6 @ n1 )
= n5 ),
inference('s_sup+',[status(thm)],[zip_derived_cl5405,zip_derived_cl2228]) ).
thf(zip_derived_cl5564,plain,
( ( ( a_select3 @ q_ds1_filter @ sk__27 @ sk__28 )
!= ( a_select3 @ q_ds1_filter @ sk__28 @ sk__27 ) )
| ( leq @ n0 @ sk__30 )
| ( leq @ sk__32 @ n5 ) ),
inference(demod,[status(thm)],[zip_derived_cl233,zip_derived_cl5436]) ).
thf(zip_derived_cl9130,plain,
( ~ ( leq @ sk__28 @ n5 )
| ~ ( leq @ n0 @ sk__28 )
| ~ ( leq @ n0 @ sk__27 )
| ~ ( leq @ sk__27 @ n5 )
| ( ( a_select3 @ q_ds1_filter @ sk__27 @ sk__28 )
!= ( a_select3 @ q_ds1_filter @ sk__27 @ sk__28 ) )
| ( leq @ n0 @ sk__30 )
| ( leq @ sk__32 @ n5 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl5518,zip_derived_cl5564]) ).
thf(zip_derived_cl9132,plain,
( ( leq @ sk__32 @ n5 )
| ( leq @ n0 @ sk__30 )
| ~ ( leq @ sk__27 @ n5 )
| ~ ( leq @ n0 @ sk__27 )
| ~ ( leq @ n0 @ sk__28 )
| ~ ( leq @ sk__28 @ n5 ) ),
inference(simplify,[status(thm)],[zip_derived_cl9130]) ).
thf(zip_derived_cl45954_302,plain,
leq @ n0 @ sk__27,
inference(clc,[status(thm)],[zip_derived_cl45943,zip_derived_cl45621]) ).
thf(zip_derived_cl46938_303,plain,
leq @ n0 @ sk__28,
inference(clc,[status(thm)],[zip_derived_cl46732,zip_derived_cl46129]) ).
thf(zip_derived_cl47564,plain,
( ( leq @ sk__32 @ n5 )
| ( leq @ n0 @ sk__30 )
| ~ ( leq @ sk__27 @ n5 )
| ~ ( leq @ sk__28 @ n5 ) ),
inference(demod,[status(thm)],[zip_derived_cl9132,zip_derived_cl45954,zip_derived_cl46938]) ).
thf(zip_derived_cl44882_304,plain,
( ( leq @ n0 @ sk__30 )
| ( leq @ sk__27 @ n5 ) ),
inference(clc,[status(thm)],[zip_derived_cl44881,zip_derived_cl43749]) ).
thf(zip_derived_cl47565,plain,
( ~ ( leq @ sk__28 @ n5 )
| ( leq @ n0 @ sk__30 )
| ( leq @ sk__32 @ n5 ) ),
inference(clc,[status(thm)],[zip_derived_cl47564,zip_derived_cl44882]) ).
thf(zip_derived_cl47425_305,plain,
( ( leq @ n0 @ sk__30 )
| ( leq @ sk__28 @ n5 ) ),
inference(clc,[status(thm)],[zip_derived_cl47424,zip_derived_cl47124]) ).
thf(zip_derived_cl47566,plain,
( ( leq @ sk__32 @ n5 )
| ( leq @ n0 @ sk__30 ) ),
inference(clc,[status(thm)],[zip_derived_cl47565,zip_derived_cl47425]) ).
thf(zip_derived_cl50147,plain,
leq @ n0 @ sk__30,
inference(clc,[status(thm)],[zip_derived_cl50146,zip_derived_cl47566]) ).
thf(zip_derived_cl5519_306,plain,
! [X4: $i,X5: $i] :
( ~ ( leq @ X4 @ n5 )
| ~ ( leq @ n0 @ X4 )
| ~ ( leq @ n0 @ X5 )
| ~ ( leq @ X5 @ n5 )
| ( ( a_select3 @ pminus_ds1_filter @ X4 @ X5 )
= ( a_select3 @ pminus_ds1_filter @ X5 @ X4 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl121,zip_derived_cl5436,zip_derived_cl5436]) ).
thf(zip_derived_cl5518_307,plain,
! [X0: $i,X1: $i] :
( ~ ( leq @ X0 @ n5 )
| ~ ( leq @ n0 @ X0 )
| ~ ( leq @ n0 @ X1 )
| ~ ( leq @ X1 @ n5 )
| ( ( a_select3 @ q_ds1_filter @ X0 @ X1 )
= ( a_select3 @ q_ds1_filter @ X1 @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl119,zip_derived_cl5436,zip_derived_cl5436]) ).
thf(zip_derived_cl227,plain,
( ( ( a_select3 @ q_ds1_filter @ sk__27 @ sk__28 )
!= ( a_select3 @ q_ds1_filter @ sk__28 @ sk__27 ) )
| ( leq @ sk__30 @ ( minus @ n3 @ n1 ) )
| ( ( a_select3 @ pminus_ds1_filter @ sk__31 @ sk__32 )
!= ( a_select3 @ pminus_ds1_filter @ sk__32 @ sk__31 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2491_308,plain,
( ( minus @ n3 @ n1 )
= n2 ),
inference('s_sup+',[status(thm)],[zip_derived_cl2479,zip_derived_cl98]) ).
thf(zip_derived_cl4964,plain,
( ( ( a_select3 @ q_ds1_filter @ sk__27 @ sk__28 )
!= ( a_select3 @ q_ds1_filter @ sk__28 @ sk__27 ) )
| ( leq @ sk__30 @ n2 )
| ( ( a_select3 @ pminus_ds1_filter @ sk__31 @ sk__32 )
!= ( a_select3 @ pminus_ds1_filter @ sk__32 @ sk__31 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl227,zip_derived_cl2491]) ).
thf(zip_derived_cl8395,plain,
( ~ ( leq @ sk__28 @ n5 )
| ~ ( leq @ n0 @ sk__28 )
| ~ ( leq @ n0 @ sk__27 )
| ~ ( leq @ sk__27 @ n5 )
| ( ( a_select3 @ q_ds1_filter @ sk__27 @ sk__28 )
!= ( a_select3 @ q_ds1_filter @ sk__27 @ sk__28 ) )
| ( leq @ sk__30 @ n2 )
| ( ( a_select3 @ pminus_ds1_filter @ sk__31 @ sk__32 )
!= ( a_select3 @ pminus_ds1_filter @ sk__32 @ sk__31 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl5518,zip_derived_cl4964]) ).
thf(zip_derived_cl8425,plain,
( ( ( a_select3 @ pminus_ds1_filter @ sk__31 @ sk__32 )
!= ( a_select3 @ pminus_ds1_filter @ sk__32 @ sk__31 ) )
| ( leq @ sk__30 @ n2 )
| ~ ( leq @ sk__27 @ n5 )
| ~ ( leq @ n0 @ sk__27 )
| ~ ( leq @ n0 @ sk__28 )
| ~ ( leq @ sk__28 @ n5 ) ),
inference(simplify,[status(thm)],[zip_derived_cl8395]) ).
thf(zip_derived_cl127,plain,
( ( leq @ sk__27 @ ( minus @ n6 @ n1 ) )
| ( leq @ sk__30 @ ( minus @ n3 @ n1 ) )
| ( ( a_select3 @ pminus_ds1_filter @ sk__31 @ sk__32 )
!= ( a_select3 @ pminus_ds1_filter @ sk__32 @ sk__31 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2491_309,plain,
( ( minus @ n3 @ n1 )
= n2 ),
inference('s_sup+',[status(thm)],[zip_derived_cl2479,zip_derived_cl98]) ).
thf(zip_derived_cl2914,plain,
( ( leq @ sk__27 @ ( minus @ n6 @ n1 ) )
| ( leq @ sk__30 @ n2 )
| ( ( a_select3 @ pminus_ds1_filter @ sk__31 @ sk__32 )
!= ( a_select3 @ pminus_ds1_filter @ sk__32 @ sk__31 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl127,zip_derived_cl2491]) ).
thf(zip_derived_cl5436_310,plain,
( ( minus @ n6 @ n1 )
= n5 ),
inference('s_sup+',[status(thm)],[zip_derived_cl5405,zip_derived_cl2228]) ).
thf(zip_derived_cl5568,plain,
( ( leq @ sk__27 @ n5 )
| ( leq @ sk__30 @ n2 )
| ( ( a_select3 @ pminus_ds1_filter @ sk__31 @ sk__32 )
!= ( a_select3 @ pminus_ds1_filter @ sk__32 @ sk__31 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2914,zip_derived_cl5436]) ).
thf(zip_derived_cl42298,plain,
( ~ ( leq @ sk__28 @ n5 )
| ~ ( leq @ n0 @ sk__28 )
| ~ ( leq @ n0 @ sk__27 )
| ( leq @ sk__30 @ n2 )
| ( ( a_select3 @ pminus_ds1_filter @ sk__31 @ sk__32 )
!= ( a_select3 @ pminus_ds1_filter @ sk__32 @ sk__31 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl8425,zip_derived_cl5568]) ).
thf(zip_derived_cl202,plain,
( ( leq @ sk__28 @ ( minus @ n6 @ n1 ) )
| ( leq @ sk__30 @ ( minus @ n3 @ n1 ) )
| ( ( a_select3 @ pminus_ds1_filter @ sk__31 @ sk__32 )
!= ( a_select3 @ pminus_ds1_filter @ sk__32 @ sk__31 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2491_311,plain,
( ( minus @ n3 @ n1 )
= n2 ),
inference('s_sup+',[status(thm)],[zip_derived_cl2479,zip_derived_cl98]) ).
thf(zip_derived_cl4673,plain,
( ( leq @ sk__28 @ ( minus @ n6 @ n1 ) )
| ( leq @ sk__30 @ n2 )
| ( ( a_select3 @ pminus_ds1_filter @ sk__31 @ sk__32 )
!= ( a_select3 @ pminus_ds1_filter @ sk__32 @ sk__31 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl202,zip_derived_cl2491]) ).
thf(zip_derived_cl5436_312,plain,
( ( minus @ n6 @ n1 )
= n5 ),
inference('s_sup+',[status(thm)],[zip_derived_cl5405,zip_derived_cl2228]) ).
thf(zip_derived_cl5598,plain,
( ( leq @ sk__28 @ n5 )
| ( leq @ sk__30 @ n2 )
| ( ( a_select3 @ pminus_ds1_filter @ sk__31 @ sk__32 )
!= ( a_select3 @ pminus_ds1_filter @ sk__32 @ sk__31 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4673,zip_derived_cl5436]) ).
thf(zip_derived_cl42299,plain,
( ( ( a_select3 @ pminus_ds1_filter @ sk__31 @ sk__32 )
!= ( a_select3 @ pminus_ds1_filter @ sk__32 @ sk__31 ) )
| ( leq @ sk__30 @ n2 )
| ~ ( leq @ n0 @ sk__27 )
| ~ ( leq @ n0 @ sk__28 ) ),
inference(clc,[status(thm)],[zip_derived_cl42298,zip_derived_cl5598]) ).
thf(zip_derived_cl6704_313,plain,
( ( ( a_select3 @ pminus_ds1_filter @ sk__31 @ sk__32 )
!= ( a_select3 @ pminus_ds1_filter @ sk__32 @ sk__31 ) )
| ( leq @ n0 @ sk__27 ) ),
inference(clc,[status(thm)],[zip_derived_cl6703,zip_derived_cl157]) ).
thf(zip_derived_cl42300,plain,
( ~ ( leq @ n0 @ sk__28 )
| ( leq @ sk__30 @ n2 )
| ( ( a_select3 @ pminus_ds1_filter @ sk__31 @ sk__32 )
!= ( a_select3 @ pminus_ds1_filter @ sk__32 @ sk__31 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl42299,zip_derived_cl6704]) ).
thf(zip_derived_cl7030_314,plain,
( ( ( a_select3 @ pminus_ds1_filter @ sk__31 @ sk__32 )
!= ( a_select3 @ pminus_ds1_filter @ sk__32 @ sk__31 ) )
| ( leq @ n0 @ sk__28 ) ),
inference(clc,[status(thm)],[zip_derived_cl7029,zip_derived_cl182]) ).
thf(zip_derived_cl42301,plain,
( ( ( a_select3 @ pminus_ds1_filter @ sk__31 @ sk__32 )
!= ( a_select3 @ pminus_ds1_filter @ sk__32 @ sk__31 ) )
| ( leq @ sk__30 @ n2 ) ),
inference(clc,[status(thm)],[zip_derived_cl42300,zip_derived_cl7030]) ).
thf(zip_derived_cl42302,plain,
( ~ ( leq @ sk__32 @ n5 )
| ~ ( leq @ n0 @ sk__32 )
| ~ ( leq @ n0 @ sk__31 )
| ~ ( leq @ sk__31 @ n5 )
| ( ( a_select3 @ pminus_ds1_filter @ sk__31 @ sk__32 )
!= ( a_select3 @ pminus_ds1_filter @ sk__31 @ sk__32 ) )
| ( leq @ sk__30 @ n2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl5519,zip_derived_cl42301]) ).
thf(zip_derived_cl42304,plain,
( ( leq @ sk__30 @ n2 )
| ~ ( leq @ sk__31 @ n5 )
| ~ ( leq @ n0 @ sk__31 )
| ~ ( leq @ n0 @ sk__32 )
| ~ ( leq @ sk__32 @ n5 ) ),
inference(simplify,[status(thm)],[zip_derived_cl42302]) ).
thf(zip_derived_cl44352_315,plain,
leq @ n0 @ sk__31,
inference(clc,[status(thm)],[zip_derived_cl44351,zip_derived_cl41443]) ).
thf(zip_derived_cl43957_316,plain,
leq @ n0 @ sk__32,
inference(clc,[status(thm)],[zip_derived_cl43956,zip_derived_cl41200]) ).
thf(zip_derived_cl61698,plain,
( ( leq @ sk__30 @ n2 )
| ~ ( leq @ sk__31 @ n5 )
| ~ ( leq @ sk__32 @ n5 ) ),
inference(demod,[status(thm)],[zip_derived_cl42304,zip_derived_cl44352,zip_derived_cl43957]) ).
thf(zip_derived_cl5518_317,plain,
! [X0: $i,X1: $i] :
( ~ ( leq @ X0 @ n5 )
| ~ ( leq @ n0 @ X0 )
| ~ ( leq @ n0 @ X1 )
| ~ ( leq @ X1 @ n5 )
| ( ( a_select3 @ q_ds1_filter @ X0 @ X1 )
= ( a_select3 @ q_ds1_filter @ X1 @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl119,zip_derived_cl5436,zip_derived_cl5436]) ).
thf(zip_derived_cl231,plain,
( ( ( a_select3 @ q_ds1_filter @ sk__27 @ sk__28 )
!= ( a_select3 @ q_ds1_filter @ sk__28 @ sk__27 ) )
| ( leq @ sk__30 @ ( minus @ n3 @ n1 ) )
| ( leq @ sk__31 @ ( minus @ n6 @ n1 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2491_318,plain,
( ( minus @ n3 @ n1 )
= n2 ),
inference('s_sup+',[status(thm)],[zip_derived_cl2479,zip_derived_cl98]) ).
thf(zip_derived_cl4994,plain,
( ( ( a_select3 @ q_ds1_filter @ sk__27 @ sk__28 )
!= ( a_select3 @ q_ds1_filter @ sk__28 @ sk__27 ) )
| ( leq @ sk__30 @ n2 )
| ( leq @ sk__31 @ ( minus @ n6 @ n1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl231,zip_derived_cl2491]) ).
thf(zip_derived_cl5436_319,plain,
( ( minus @ n6 @ n1 )
= n5 ),
inference('s_sup+',[status(thm)],[zip_derived_cl5405,zip_derived_cl2228]) ).
thf(zip_derived_cl5609,plain,
( ( ( a_select3 @ q_ds1_filter @ sk__27 @ sk__28 )
!= ( a_select3 @ q_ds1_filter @ sk__28 @ sk__27 ) )
| ( leq @ sk__30 @ n2 )
| ( leq @ sk__31 @ n5 ) ),
inference(demod,[status(thm)],[zip_derived_cl4994,zip_derived_cl5436]) ).
thf(zip_derived_cl9997,plain,
( ~ ( leq @ sk__28 @ n5 )
| ~ ( leq @ n0 @ sk__28 )
| ~ ( leq @ n0 @ sk__27 )
| ~ ( leq @ sk__27 @ n5 )
| ( ( a_select3 @ q_ds1_filter @ sk__27 @ sk__28 )
!= ( a_select3 @ q_ds1_filter @ sk__27 @ sk__28 ) )
| ( leq @ sk__30 @ n2 )
| ( leq @ sk__31 @ n5 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl5518,zip_derived_cl5609]) ).
thf(zip_derived_cl9999,plain,
( ( leq @ sk__31 @ n5 )
| ( leq @ sk__30 @ n2 )
| ~ ( leq @ sk__27 @ n5 )
| ~ ( leq @ n0 @ sk__27 )
| ~ ( leq @ n0 @ sk__28 )
| ~ ( leq @ sk__28 @ n5 ) ),
inference(simplify,[status(thm)],[zip_derived_cl9997]) ).
thf(zip_derived_cl45954_320,plain,
leq @ n0 @ sk__27,
inference(clc,[status(thm)],[zip_derived_cl45943,zip_derived_cl45621]) ).
thf(zip_derived_cl46938_321,plain,
leq @ n0 @ sk__28,
inference(clc,[status(thm)],[zip_derived_cl46732,zip_derived_cl46129]) ).
thf(zip_derived_cl48892,plain,
( ( leq @ sk__31 @ n5 )
| ( leq @ sk__30 @ n2 )
| ~ ( leq @ sk__27 @ n5 )
| ~ ( leq @ sk__28 @ n5 ) ),
inference(demod,[status(thm)],[zip_derived_cl9999,zip_derived_cl45954,zip_derived_cl46938]) ).
thf(zip_derived_cl5519_322,plain,
! [X4: $i,X5: $i] :
( ~ ( leq @ X4 @ n5 )
| ~ ( leq @ n0 @ X4 )
| ~ ( leq @ n0 @ X5 )
| ~ ( leq @ X5 @ n5 )
| ( ( a_select3 @ pminus_ds1_filter @ X4 @ X5 )
= ( a_select3 @ pminus_ds1_filter @ X5 @ X4 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl121,zip_derived_cl5436,zip_derived_cl5436]) ).
thf(zip_derived_cl5568_323,plain,
( ( leq @ sk__27 @ n5 )
| ( leq @ sk__30 @ n2 )
| ( ( a_select3 @ pminus_ds1_filter @ sk__31 @ sk__32 )
!= ( a_select3 @ pminus_ds1_filter @ sk__32 @ sk__31 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2914,zip_derived_cl5436]) ).
thf(zip_derived_cl9212,plain,
( ~ ( leq @ sk__32 @ n5 )
| ~ ( leq @ n0 @ sk__32 )
| ~ ( leq @ n0 @ sk__31 )
| ~ ( leq @ sk__31 @ n5 )
| ( leq @ sk__27 @ n5 )
| ( leq @ sk__30 @ n2 )
| ( ( a_select3 @ pminus_ds1_filter @ sk__31 @ sk__32 )
!= ( a_select3 @ pminus_ds1_filter @ sk__31 @ sk__32 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl5519,zip_derived_cl5568]) ).
thf(zip_derived_cl9214,plain,
( ( leq @ sk__30 @ n2 )
| ( leq @ sk__27 @ n5 )
| ~ ( leq @ sk__31 @ n5 )
| ~ ( leq @ n0 @ sk__31 )
| ~ ( leq @ n0 @ sk__32 )
| ~ ( leq @ sk__32 @ n5 ) ),
inference(simplify,[status(thm)],[zip_derived_cl9212]) ).
thf(zip_derived_cl44352_324,plain,
leq @ n0 @ sk__31,
inference(clc,[status(thm)],[zip_derived_cl44351,zip_derived_cl41443]) ).
thf(zip_derived_cl43957_325,plain,
leq @ n0 @ sk__32,
inference(clc,[status(thm)],[zip_derived_cl43956,zip_derived_cl41200]) ).
thf(zip_derived_cl47797,plain,
( ( leq @ sk__30 @ n2 )
| ( leq @ sk__27 @ n5 )
| ~ ( leq @ sk__31 @ n5 )
| ~ ( leq @ sk__32 @ n5 ) ),
inference(demod,[status(thm)],[zip_derived_cl9214,zip_derived_cl44352,zip_derived_cl43957]) ).
thf(zip_derived_cl44757_326,plain,
( ( leq @ sk__31 @ n5 )
| ( leq @ sk__27 @ n5 ) ),
inference(clc,[status(thm)],[zip_derived_cl44756,zip_derived_cl5529]) ).
thf(zip_derived_cl47798,plain,
( ~ ( leq @ sk__32 @ n5 )
| ( leq @ sk__27 @ n5 )
| ( leq @ sk__30 @ n2 ) ),
inference(clc,[status(thm)],[zip_derived_cl47797,zip_derived_cl44757]) ).
thf(zip_derived_cl43749_327,plain,
( ( leq @ sk__32 @ n5 )
| ( leq @ sk__27 @ n5 ) ),
inference(clc,[status(thm)],[zip_derived_cl43748,zip_derived_cl5526]) ).
thf(zip_derived_cl47799,plain,
( ( leq @ sk__30 @ n2 )
| ( leq @ sk__27 @ n5 ) ),
inference(clc,[status(thm)],[zip_derived_cl47798,zip_derived_cl43749]) ).
thf(zip_derived_cl48893,plain,
( ~ ( leq @ sk__28 @ n5 )
| ( leq @ sk__30 @ n2 )
| ( leq @ sk__31 @ n5 ) ),
inference(clc,[status(thm)],[zip_derived_cl48892,zip_derived_cl47799]) ).
thf(zip_derived_cl5519_328,plain,
! [X4: $i,X5: $i] :
( ~ ( leq @ X4 @ n5 )
| ~ ( leq @ n0 @ X4 )
| ~ ( leq @ n0 @ X5 )
| ~ ( leq @ X5 @ n5 )
| ( ( a_select3 @ pminus_ds1_filter @ X4 @ X5 )
= ( a_select3 @ pminus_ds1_filter @ X5 @ X4 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl121,zip_derived_cl5436,zip_derived_cl5436]) ).
thf(zip_derived_cl5598_329,plain,
( ( leq @ sk__28 @ n5 )
| ( leq @ sk__30 @ n2 )
| ( ( a_select3 @ pminus_ds1_filter @ sk__31 @ sk__32 )
!= ( a_select3 @ pminus_ds1_filter @ sk__32 @ sk__31 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4673,zip_derived_cl5436]) ).
thf(zip_derived_cl9599,plain,
( ~ ( leq @ sk__32 @ n5 )
| ~ ( leq @ n0 @ sk__32 )
| ~ ( leq @ n0 @ sk__31 )
| ~ ( leq @ sk__31 @ n5 )
| ( leq @ sk__28 @ n5 )
| ( leq @ sk__30 @ n2 )
| ( ( a_select3 @ pminus_ds1_filter @ sk__31 @ sk__32 )
!= ( a_select3 @ pminus_ds1_filter @ sk__31 @ sk__32 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl5519,zip_derived_cl5598]) ).
thf(zip_derived_cl9601,plain,
( ( leq @ sk__30 @ n2 )
| ( leq @ sk__28 @ n5 )
| ~ ( leq @ sk__31 @ n5 )
| ~ ( leq @ n0 @ sk__31 )
| ~ ( leq @ n0 @ sk__32 )
| ~ ( leq @ sk__32 @ n5 ) ),
inference(simplify,[status(thm)],[zip_derived_cl9599]) ).
thf(zip_derived_cl44352_330,plain,
leq @ n0 @ sk__31,
inference(clc,[status(thm)],[zip_derived_cl44351,zip_derived_cl41443]) ).
thf(zip_derived_cl43957_331,plain,
leq @ n0 @ sk__32,
inference(clc,[status(thm)],[zip_derived_cl43956,zip_derived_cl41200]) ).
thf(zip_derived_cl48366,plain,
( ( leq @ sk__30 @ n2 )
| ( leq @ sk__28 @ n5 )
| ~ ( leq @ sk__31 @ n5 )
| ~ ( leq @ sk__32 @ n5 ) ),
inference(demod,[status(thm)],[zip_derived_cl9601,zip_derived_cl44352,zip_derived_cl43957]) ).
thf(zip_derived_cl47406_332,plain,
( ( leq @ sk__31 @ n5 )
| ( leq @ sk__28 @ n5 ) ),
inference(clc,[status(thm)],[zip_derived_cl47405,zip_derived_cl5556]) ).
thf(zip_derived_cl48367,plain,
( ~ ( leq @ sk__32 @ n5 )
| ( leq @ sk__28 @ n5 )
| ( leq @ sk__30 @ n2 ) ),
inference(clc,[status(thm)],[zip_derived_cl48366,zip_derived_cl47406]) ).
thf(zip_derived_cl47124_333,plain,
( ( leq @ sk__32 @ n5 )
| ( leq @ sk__28 @ n5 ) ),
inference(clc,[status(thm)],[zip_derived_cl47123,zip_derived_cl5553]) ).
thf(zip_derived_cl48368,plain,
( ( leq @ sk__30 @ n2 )
| ( leq @ sk__28 @ n5 ) ),
inference(clc,[status(thm)],[zip_derived_cl48367,zip_derived_cl47124]) ).
thf(zip_derived_cl48894,plain,
( ( leq @ sk__31 @ n5 )
| ( leq @ sk__30 @ n2 ) ),
inference(clc,[status(thm)],[zip_derived_cl48893,zip_derived_cl48368]) ).
thf(zip_derived_cl61699,plain,
( ~ ( leq @ sk__32 @ n5 )
| ( leq @ sk__30 @ n2 ) ),
inference(clc,[status(thm)],[zip_derived_cl61698,zip_derived_cl48894]) ).
thf(zip_derived_cl5518_334,plain,
! [X0: $i,X1: $i] :
( ~ ( leq @ X0 @ n5 )
| ~ ( leq @ n0 @ X0 )
| ~ ( leq @ n0 @ X1 )
| ~ ( leq @ X1 @ n5 )
| ( ( a_select3 @ q_ds1_filter @ X0 @ X1 )
= ( a_select3 @ q_ds1_filter @ X1 @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl119,zip_derived_cl5436,zip_derived_cl5436]) ).
thf(zip_derived_cl228,plain,
( ( ( a_select3 @ q_ds1_filter @ sk__27 @ sk__28 )
!= ( a_select3 @ q_ds1_filter @ sk__28 @ sk__27 ) )
| ( leq @ sk__30 @ ( minus @ n3 @ n1 ) )
| ( leq @ sk__32 @ ( minus @ n6 @ n1 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2491_335,plain,
( ( minus @ n3 @ n1 )
= n2 ),
inference('s_sup+',[status(thm)],[zip_derived_cl2479,zip_derived_cl98]) ).
thf(zip_derived_cl4965,plain,
( ( ( a_select3 @ q_ds1_filter @ sk__27 @ sk__28 )
!= ( a_select3 @ q_ds1_filter @ sk__28 @ sk__27 ) )
| ( leq @ sk__30 @ n2 )
| ( leq @ sk__32 @ ( minus @ n6 @ n1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl228,zip_derived_cl2491]) ).
thf(zip_derived_cl5436_336,plain,
( ( minus @ n6 @ n1 )
= n5 ),
inference('s_sup+',[status(thm)],[zip_derived_cl5405,zip_derived_cl2228]) ).
thf(zip_derived_cl5608,plain,
( ( ( a_select3 @ q_ds1_filter @ sk__27 @ sk__28 )
!= ( a_select3 @ q_ds1_filter @ sk__28 @ sk__27 ) )
| ( leq @ sk__30 @ n2 )
| ( leq @ sk__32 @ n5 ) ),
inference(demod,[status(thm)],[zip_derived_cl4965,zip_derived_cl5436]) ).
thf(zip_derived_cl9779,plain,
( ~ ( leq @ sk__28 @ n5 )
| ~ ( leq @ n0 @ sk__28 )
| ~ ( leq @ n0 @ sk__27 )
| ~ ( leq @ sk__27 @ n5 )
| ( ( a_select3 @ q_ds1_filter @ sk__27 @ sk__28 )
!= ( a_select3 @ q_ds1_filter @ sk__27 @ sk__28 ) )
| ( leq @ sk__30 @ n2 )
| ( leq @ sk__32 @ n5 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl5518,zip_derived_cl5608]) ).
thf(zip_derived_cl9781,plain,
( ( leq @ sk__32 @ n5 )
| ( leq @ sk__30 @ n2 )
| ~ ( leq @ sk__27 @ n5 )
| ~ ( leq @ n0 @ sk__27 )
| ~ ( leq @ n0 @ sk__28 )
| ~ ( leq @ sk__28 @ n5 ) ),
inference(simplify,[status(thm)],[zip_derived_cl9779]) ).
thf(zip_derived_cl45954_337,plain,
leq @ n0 @ sk__27,
inference(clc,[status(thm)],[zip_derived_cl45943,zip_derived_cl45621]) ).
thf(zip_derived_cl46938_338,plain,
leq @ n0 @ sk__28,
inference(clc,[status(thm)],[zip_derived_cl46732,zip_derived_cl46129]) ).
thf(zip_derived_cl48810,plain,
( ( leq @ sk__32 @ n5 )
| ( leq @ sk__30 @ n2 )
| ~ ( leq @ sk__27 @ n5 )
| ~ ( leq @ sk__28 @ n5 ) ),
inference(demod,[status(thm)],[zip_derived_cl9781,zip_derived_cl45954,zip_derived_cl46938]) ).
thf(zip_derived_cl47799_339,plain,
( ( leq @ sk__30 @ n2 )
| ( leq @ sk__27 @ n5 ) ),
inference(clc,[status(thm)],[zip_derived_cl47798,zip_derived_cl43749]) ).
thf(zip_derived_cl48811,plain,
( ~ ( leq @ sk__28 @ n5 )
| ( leq @ sk__30 @ n2 )
| ( leq @ sk__32 @ n5 ) ),
inference(clc,[status(thm)],[zip_derived_cl48810,zip_derived_cl47799]) ).
thf(zip_derived_cl48368_340,plain,
( ( leq @ sk__30 @ n2 )
| ( leq @ sk__28 @ n5 ) ),
inference(clc,[status(thm)],[zip_derived_cl48367,zip_derived_cl47124]) ).
thf(zip_derived_cl48812,plain,
( ( leq @ sk__32 @ n5 )
| ( leq @ sk__30 @ n2 ) ),
inference(clc,[status(thm)],[zip_derived_cl48811,zip_derived_cl48368]) ).
thf(zip_derived_cl61700,plain,
leq @ sk__30 @ n2,
inference(clc,[status(thm)],[zip_derived_cl61699,zip_derived_cl48812]) ).
thf(zip_derived_cl64155,plain,
leq @ sk__32 @ n5,
inference(demod,[status(thm)],[zip_derived_cl47498,zip_derived_cl62884,zip_derived_cl50607,zip_derived_cl50147,zip_derived_cl61700]) ).
thf(zip_derived_cl64156,plain,
( ( ( a_select3 @ r_ds1_filter @ sk__29 @ sk__30 )
!= ( a_select3 @ r_ds1_filter @ sk__30 @ sk__29 ) )
| ~ ( leq @ sk__31 @ n5 ) ),
inference(demod,[status(thm)],[zip_derived_cl19230,zip_derived_cl64155]) ).
thf(zip_derived_cl5518_341,plain,
! [X0: $i,X1: $i] :
( ~ ( leq @ X0 @ n5 )
| ~ ( leq @ n0 @ X0 )
| ~ ( leq @ n0 @ X1 )
| ~ ( leq @ X1 @ n5 )
| ( ( a_select3 @ q_ds1_filter @ X0 @ X1 )
= ( a_select3 @ q_ds1_filter @ X1 @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl119,zip_derived_cl5436,zip_derived_cl5436]) ).
thf(zip_derived_cl226,plain,
( ( ( a_select3 @ q_ds1_filter @ sk__27 @ sk__28 )
!= ( a_select3 @ q_ds1_filter @ sk__28 @ sk__27 ) )
| ( ( a_select3 @ r_ds1_filter @ sk__29 @ sk__30 )
!= ( a_select3 @ r_ds1_filter @ sk__30 @ sk__29 ) )
| ( leq @ sk__31 @ ( minus @ n6 @ n1 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl5436_342,plain,
( ( minus @ n6 @ n1 )
= n5 ),
inference('s_sup+',[status(thm)],[zip_derived_cl5405,zip_derived_cl2228]) ).
thf(zip_derived_cl5563,plain,
( ( ( a_select3 @ q_ds1_filter @ sk__27 @ sk__28 )
!= ( a_select3 @ q_ds1_filter @ sk__28 @ sk__27 ) )
| ( ( a_select3 @ r_ds1_filter @ sk__29 @ sk__30 )
!= ( a_select3 @ r_ds1_filter @ sk__30 @ sk__29 ) )
| ( leq @ sk__31 @ n5 ) ),
inference(demod,[status(thm)],[zip_derived_cl226,zip_derived_cl5436]) ).
thf(zip_derived_cl9118,plain,
( ~ ( leq @ sk__28 @ n5 )
| ~ ( leq @ n0 @ sk__28 )
| ~ ( leq @ n0 @ sk__27 )
| ~ ( leq @ sk__27 @ n5 )
| ( ( a_select3 @ q_ds1_filter @ sk__27 @ sk__28 )
!= ( a_select3 @ q_ds1_filter @ sk__27 @ sk__28 ) )
| ( ( a_select3 @ r_ds1_filter @ sk__29 @ sk__30 )
!= ( a_select3 @ r_ds1_filter @ sk__30 @ sk__29 ) )
| ( leq @ sk__31 @ n5 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl5518,zip_derived_cl5563]) ).
thf(zip_derived_cl9120,plain,
( ( leq @ sk__31 @ n5 )
| ( ( a_select3 @ r_ds1_filter @ sk__29 @ sk__30 )
!= ( a_select3 @ r_ds1_filter @ sk__30 @ sk__29 ) )
| ~ ( leq @ sk__27 @ n5 )
| ~ ( leq @ n0 @ sk__27 )
| ~ ( leq @ n0 @ sk__28 )
| ~ ( leq @ sk__28 @ n5 ) ),
inference(simplify,[status(thm)],[zip_derived_cl9118]) ).
thf(zip_derived_cl45954_343,plain,
leq @ n0 @ sk__27,
inference(clc,[status(thm)],[zip_derived_cl45943,zip_derived_cl45621]) ).
thf(zip_derived_cl46938_344,plain,
leq @ n0 @ sk__28,
inference(clc,[status(thm)],[zip_derived_cl46732,zip_derived_cl46129]) ).
thf(zip_derived_cl47535,plain,
( ( leq @ sk__31 @ n5 )
| ( ( a_select3 @ r_ds1_filter @ sk__29 @ sk__30 )
!= ( a_select3 @ r_ds1_filter @ sk__30 @ sk__29 ) )
| ~ ( leq @ sk__27 @ n5 )
| ~ ( leq @ sk__28 @ n5 ) ),
inference(demod,[status(thm)],[zip_derived_cl9120,zip_derived_cl45954,zip_derived_cl46938]) ).
thf(zip_derived_cl44757_345,plain,
( ( leq @ sk__31 @ n5 )
| ( leq @ sk__27 @ n5 ) ),
inference(clc,[status(thm)],[zip_derived_cl44756,zip_derived_cl5529]) ).
thf(zip_derived_cl47536,plain,
( ~ ( leq @ sk__28 @ n5 )
| ( ( a_select3 @ r_ds1_filter @ sk__29 @ sk__30 )
!= ( a_select3 @ r_ds1_filter @ sk__30 @ sk__29 ) )
| ( leq @ sk__31 @ n5 ) ),
inference(clc,[status(thm)],[zip_derived_cl47535,zip_derived_cl44757]) ).
thf(zip_derived_cl47406_346,plain,
( ( leq @ sk__31 @ n5 )
| ( leq @ sk__28 @ n5 ) ),
inference(clc,[status(thm)],[zip_derived_cl47405,zip_derived_cl5556]) ).
thf(zip_derived_cl47537,plain,
( ( leq @ sk__31 @ n5 )
| ( ( a_select3 @ r_ds1_filter @ sk__29 @ sk__30 )
!= ( a_select3 @ r_ds1_filter @ sk__30 @ sk__29 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl47536,zip_derived_cl47406]) ).
thf(zip_derived_cl64451,plain,
( ( a_select3 @ r_ds1_filter @ sk__29 @ sk__30 )
!= ( a_select3 @ r_ds1_filter @ sk__30 @ sk__29 ) ),
inference(clc,[status(thm)],[zip_derived_cl64156,zip_derived_cl47537]) ).
thf(zip_derived_cl64452,plain,
( ~ ( leq @ sk__30 @ n2 )
| ~ ( leq @ n0 @ sk__30 )
| ~ ( leq @ n0 @ sk__29 )
| ~ ( leq @ sk__29 @ n2 )
| ( ( a_select3 @ r_ds1_filter @ sk__29 @ sk__30 )
!= ( a_select3 @ r_ds1_filter @ sk__29 @ sk__30 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2712,zip_derived_cl64451]) ).
thf(zip_derived_cl61700_347,plain,
leq @ sk__30 @ n2,
inference(clc,[status(thm)],[zip_derived_cl61699,zip_derived_cl48812]) ).
thf(zip_derived_cl50147_348,plain,
leq @ n0 @ sk__30,
inference(clc,[status(thm)],[zip_derived_cl50146,zip_derived_cl47566]) ).
thf(zip_derived_cl50607_349,plain,
leq @ n0 @ sk__29,
inference(clc,[status(thm)],[zip_derived_cl50606,zip_derived_cl47615]) ).
thf(zip_derived_cl62884_350,plain,
leq @ sk__29 @ n2,
inference(clc,[status(thm)],[zip_derived_cl62883,zip_derived_cl49204]) ).
thf(zip_derived_cl64456,plain,
( ( a_select3 @ r_ds1_filter @ sk__29 @ sk__30 )
!= ( a_select3 @ r_ds1_filter @ sk__29 @ sk__30 ) ),
inference(demod,[status(thm)],[zip_derived_cl64452,zip_derived_cl61700,zip_derived_cl50147,zip_derived_cl50607,zip_derived_cl62884]) ).
thf(zip_derived_cl64457,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl64456]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SWV122+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.8yQ9rHO4Rt true
% 0.14/0.36 % Computer : n008.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Tue Aug 29 03:55:32 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % Running portfolio for 300 s
% 0.14/0.36 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.36 % Number of cores: 8
% 0.14/0.36 % Python version: Python 3.6.8
% 0.14/0.36 % Running in FO mode
% 0.22/0.67 % Total configuration time : 435
% 0.22/0.67 % Estimated wc time : 1092
% 0.22/0.67 % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.22/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.22/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.56/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 134.48/19.93 % Solved by fo/fo6_bce.sh.
% 134.48/19.93 % BCE start: 288
% 134.48/19.93 % BCE eliminated: 1
% 134.48/19.93 % PE start: 287
% 134.48/19.93 logic: eq
% 134.48/19.93 % PE eliminated: 13
% 134.48/19.93 % done 7128 iterations in 19.124s
% 134.48/19.93 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 134.48/19.93 % SZS output start Refutation
% See solution above
% 134.48/19.95
% 134.48/19.95
% 134.48/19.95 % Terminating...
% 134.89/20.05 % Runner terminated.
% 134.89/20.07 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------