TSTP Solution File: MSC010+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : MSC010+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.97nse43R4J true
% Computer : n021.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 : Thu Aug 31 09:31:48 EDT 2023
% Result : Theorem 1.45s 0.85s
% Output : Refutation 1.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 105
% Syntax : Number of formulae : 399 ( 35 unt; 82 typ; 0 def)
% Number of atoms : 1060 ( 164 equ; 0 cnn)
% Maximal formula atoms : 68 ( 3 avg)
% Number of connectives : 3313 ( 521 ~; 307 |; 189 &;2049 @)
% ( 0 <=>; 84 =>; 163 <=; 0 <~>)
% Maximal formula depth : 30 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 83 ( 83 >; 0 *; 0 +; 0 <<)
% Number of symbols : 64 ( 62 usr; 38 con; 0-3 aty)
% Number of variables : 302 ( 0 ^; 302 !; 0 ?; 302 :)
% Comments :
%------------------------------------------------------------------------------
thf(n998_type,type,
n998: $i ).
thf(zip_tseitin_7_type,type,
zip_tseitin_7: $i > $i > $o ).
thf(r_ds1_filter_init_type,type,
r_ds1_filter_init: $i ).
thf(sk__3_type,type,
sk__3: $i ).
thf(sk__type,type,
sk_: $i > $i ).
thf(zip_tseitin_1_type,type,
zip_tseitin_1: $i > $o ).
thf(q_ds1_filter_init_type,type,
q_ds1_filter_init: $i ).
thf(zip_tseitin_19_type,type,
zip_tseitin_19: $i > $i > $o ).
thf(sk__21_type,type,
sk__21: $i ).
thf(sk__12_type,type,
sk__12: $i ).
thf(sk__6_type,type,
sk__6: $i ).
thf(zip_tseitin_8_type,type,
zip_tseitin_8: $i > $i > $o ).
thf(pv5_type,type,
pv5: $i ).
thf(zip_tseitin_3_type,type,
zip_tseitin_3: $i > $o ).
thf(zip_tseitin_6_type,type,
zip_tseitin_6: $i > $i > $o ).
thf(sk__15_type,type,
sk__15: $i ).
thf(sk__9_type,type,
sk__9: $i ).
thf(zip_tseitin_0_type,type,
zip_tseitin_0: $i > $o ).
thf(sk__1_type,type,
sk__1: $i ).
thf(sk__11_type,type,
sk__11: $i ).
thf(n5_type,type,
n5: $i ).
thf(sk__14_type,type,
sk__14: $i ).
thf(zip_tseitin_17_type,type,
zip_tseitin_17: $i > $i > $o ).
thf(n0_type,type,
n0: $i ).
thf(sk__2_type,type,
sk__2: $i ).
thf(n2_type,type,
n2: $i ).
thf(leq_type,type,
leq: $i > $i > $o ).
thf(phi_ds1_filter_init_type,type,
phi_ds1_filter_init: $i ).
thf(sk__16_type,type,
sk__16: $i ).
thf(xhatmin_ds1_filter_init_type,type,
xhatmin_ds1_filter_init: $i ).
thf(sk__4_type,type,
sk__4: $i ).
thf(init_type,type,
init: $i ).
thf(zip_tseitin_5_type,type,
zip_tseitin_5: $i > $i > $o ).
thf(zip_tseitin_4_type,type,
zip_tseitin_4: $i > $i > $o ).
thf(pminus_ds1_filter_init_type,type,
pminus_ds1_filter_init: $i ).
thf(zip_tseitin_10_type,type,
zip_tseitin_10: $i > $i > $o ).
thf(zip_tseitin_14_type,type,
zip_tseitin_14: $i > $i > $o ).
thf(zip_tseitin_9_type,type,
zip_tseitin_9: $i > $i > $o ).
thf(sk__19_type,type,
sk__19: $i ).
thf(zip_tseitin_2_type,type,
zip_tseitin_2: $i > $i > $o ).
thf(zip_tseitin_13_type,type,
zip_tseitin_13: $i > $i > $o ).
thf(sk__20_type,type,
sk__20: $i ).
thf(sk__7_type,type,
sk__7: $i ).
thf(h_ds1_filter_init_type,type,
h_ds1_filter_init: $i ).
thf(pred_type,type,
pred: $i > $i ).
thf(sk__13_type,type,
sk__13: $i ).
thf(sk__8_type,type,
sk__8: $i ).
thf(sk__18_type,type,
sk__18: $i ).
thf(pv64_type,type,
pv64: $i ).
thf(a_select3_type,type,
a_select3: $i > $i > $i > $i ).
thf(zip_tseitin_15_type,type,
zip_tseitin_15: $i > $i > $o ).
thf(sk__17_type,type,
sk__17: $i ).
thf(pv63_type,type,
pv63: $i ).
thf(zip_tseitin_11_type,type,
zip_tseitin_11: $i > $i > $o ).
thf(id_ds1_filter_init_type,type,
id_ds1_filter_init: $i ).
thf(zip_tseitin_16_type,type,
zip_tseitin_16: $i > $i > $o ).
thf(sk__10_type,type,
sk__10: $i ).
thf(zip_tseitin_18_type,type,
zip_tseitin_18: $i > $i > $o ).
thf(dv_ds1_filter_init_type,type,
dv_ds1_filter_init: $i ).
thf(gt_type,type,
gt: $i > $i > $o ).
thf(zip_tseitin_12_type,type,
zip_tseitin_12: $i > $i > $o ).
thf(sk__5_type,type,
sk__5: $i ).
thf(n1,axiom,
( ( ! [X19: $i] :
( ( ( leq @ X19 @ ( pred @ pv63 ) )
& ( leq @ n0 @ X19 ) )
=> ! [X20: $i] :
( ( ( leq @ X20 @ n5 )
& ( leq @ n0 @ X20 ) )
=> ( ( a_select3 @ id_ds1_filter_init @ X19 @ X20 )
= init ) ) )
& ! [X17: $i,X18: $i] :
( ( ( leq @ X18 @ n5 )
& ( leq @ X17 @ n5 )
& ( leq @ n0 @ X18 )
& ( leq @ n0 @ X17 ) )
=> ( ( gt @ pv63 @ X17 )
=> ( ( a_select3 @ id_ds1_filter_init @ X17 @ X18 )
= init ) ) )
& ! [X15: $i,X16: $i] :
( ( ( leq @ X16 @ n5 )
& ( leq @ X15 @ n5 )
& ( leq @ n0 @ X16 )
& ( leq @ n0 @ X15 ) )
=> ( ( ( gt @ pv64 @ X16 )
& ( X15 = pv63 ) )
=> ( ( a_select3 @ id_ds1_filter_init @ X15 @ X16 )
= init ) ) )
& ! [X13: $i,X14: $i] :
( ( ( leq @ X14 @ n5 )
& ( leq @ X13 @ n5 )
& ( leq @ n0 @ X14 )
& ( leq @ n0 @ X13 ) )
=> ( ( a_select3 @ pminus_ds1_filter_init @ X13 @ X14 )
= init ) )
& ! [X11: $i,X12: $i] :
( ( ( leq @ X12 @ n0 )
& ( leq @ X11 @ n5 )
& ( leq @ n0 @ X12 )
& ( leq @ n0 @ X11 ) )
=> ( ( a_select3 @ xhatmin_ds1_filter_init @ X11 @ X12 )
= init ) )
& ! [X9: $i,X10: $i] :
( ( ( leq @ X10 @ n2 )
& ( leq @ X9 @ n2 )
& ( leq @ n0 @ X10 )
& ( leq @ n0 @ X9 ) )
=> ( ( a_select3 @ r_ds1_filter_init @ X9 @ X10 )
= init ) )
& ! [X7: $i,X8: $i] :
( ( ( leq @ X8 @ n5 )
& ( leq @ X7 @ n5 )
& ( leq @ n0 @ X8 )
& ( leq @ n0 @ X7 ) )
=> ( ( a_select3 @ q_ds1_filter_init @ X7 @ X8 )
= init ) )
& ! [X5: $i,X6: $i] :
( ( ( leq @ X6 @ n0 )
& ( leq @ X5 @ n5 )
& ( leq @ n0 @ X6 )
& ( leq @ n0 @ X5 ) )
=> ( ( a_select3 @ dv_ds1_filter_init @ X5 @ X6 )
= init ) )
& ! [X3: $i,X4: $i] :
( ( ( leq @ X4 @ n5 )
& ( leq @ X3 @ n5 )
& ( leq @ n0 @ X4 )
& ( leq @ n0 @ X3 ) )
=> ( ( a_select3 @ phi_ds1_filter_init @ X3 @ X4 )
= init ) )
& ! [X1: $i,X2: $i] :
( ( ( leq @ X2 @ n5 )
& ( leq @ X1 @ n2 )
& ( leq @ n0 @ X2 )
& ( leq @ n0 @ X1 ) )
=> ( ( a_select3 @ h_ds1_filter_init @ X1 @ X2 )
= init ) )
& ( leq @ pv64 @ n5 )
& ( leq @ pv63 @ n5 )
& ( leq @ pv5 @ n998 )
& ( leq @ n0 @ pv64 )
& ( leq @ n0 @ pv63 )
& ( leq @ n0 @ pv5 )
& ( pv63 != pv64 ) )
=> ! [X21: $i,X22: $i] :
( ( ( leq @ X22 @ n5 )
& ( leq @ X21 @ n5 )
& ( leq @ n0 @ X22 )
& ( leq @ n0 @ X21 ) )
=> ( ( ( leq @ X22 @ pv64 )
& ( X21 = pv63 )
& ( pv64 != X22 ) )
=> ( ( a_select3 @ id_ds1_filter_init @ X21 @ X22 )
= init ) ) ) ) ).
thf(zf_stmt_0,axiom,
! [X2: $i,X1: $i] :
( ( ( zip_tseitin_18 @ X2 @ X1 )
=> ( ( a_select3 @ h_ds1_filter_init @ X1 @ X2 )
= init ) )
=> ( zip_tseitin_19 @ X2 @ X1 ) ) ).
thf(zip_derived_cl47,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_19 @ X0 @ X1 )
| ( zip_tseitin_18 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zf_stmt_1,type,
zip_tseitin_19: $i > $i > $o ).
thf(zf_stmt_2,type,
zip_tseitin_18: $i > $i > $o ).
thf(zf_stmt_3,axiom,
! [X2: $i,X1: $i] :
( ( zip_tseitin_18 @ X2 @ X1 )
=> ( ( leq @ n0 @ X1 )
& ( leq @ n0 @ X2 )
& ( leq @ X1 @ n2 )
& ( leq @ X2 @ n5 ) ) ) ).
thf(zf_stmt_4,type,
zip_tseitin_17: $i > $i > $o ).
thf(zf_stmt_5,axiom,
! [X4: $i,X3: $i] :
( ( ( zip_tseitin_4 @ X4 @ X3 )
=> ( ( a_select3 @ phi_ds1_filter_init @ X3 @ X4 )
= init ) )
=> ( zip_tseitin_17 @ X4 @ X3 ) ) ).
thf(zf_stmt_6,type,
zip_tseitin_16: $i > $i > $o ).
thf(zf_stmt_7,axiom,
! [X6: $i,X5: $i] :
( ( ( zip_tseitin_11 @ X6 @ X5 )
=> ( ( a_select3 @ dv_ds1_filter_init @ X5 @ X6 )
= init ) )
=> ( zip_tseitin_16 @ X6 @ X5 ) ) ).
thf(zf_stmt_8,type,
zip_tseitin_15: $i > $i > $o ).
thf(zf_stmt_9,axiom,
! [X8: $i,X7: $i] :
( ( ( zip_tseitin_4 @ X8 @ X7 )
=> ( ( a_select3 @ q_ds1_filter_init @ X7 @ X8 )
= init ) )
=> ( zip_tseitin_15 @ X8 @ X7 ) ) ).
thf(zf_stmt_10,type,
zip_tseitin_14: $i > $i > $o ).
thf(zf_stmt_11,axiom,
! [X10: $i,X9: $i] :
( ( ( zip_tseitin_13 @ X10 @ X9 )
=> ( ( a_select3 @ r_ds1_filter_init @ X9 @ X10 )
= init ) )
=> ( zip_tseitin_14 @ X10 @ X9 ) ) ).
thf(zf_stmt_12,type,
zip_tseitin_13: $i > $i > $o ).
thf(zf_stmt_13,axiom,
! [X10: $i,X9: $i] :
( ( zip_tseitin_13 @ X10 @ X9 )
=> ( ( leq @ n0 @ X9 )
& ( leq @ n0 @ X10 )
& ( leq @ X9 @ n2 )
& ( leq @ X10 @ n2 ) ) ) ).
thf(zf_stmt_14,type,
zip_tseitin_12: $i > $i > $o ).
thf(zf_stmt_15,axiom,
! [X12: $i,X11: $i] :
( ( ( zip_tseitin_11 @ X12 @ X11 )
=> ( ( a_select3 @ xhatmin_ds1_filter_init @ X11 @ X12 )
= init ) )
=> ( zip_tseitin_12 @ X12 @ X11 ) ) ).
thf(zf_stmt_16,type,
zip_tseitin_11: $i > $i > $o ).
thf(zf_stmt_17,axiom,
! [X12: $i,X11: $i] :
( ( zip_tseitin_11 @ X12 @ X11 )
=> ( ( leq @ n0 @ X11 )
& ( leq @ n0 @ X12 )
& ( leq @ X11 @ n5 )
& ( leq @ X12 @ n0 ) ) ) ).
thf(zf_stmt_18,type,
zip_tseitin_10: $i > $i > $o ).
thf(zf_stmt_19,axiom,
! [X14: $i,X13: $i] :
( ( ( zip_tseitin_4 @ X14 @ X13 )
=> ( ( a_select3 @ pminus_ds1_filter_init @ X13 @ X14 )
= init ) )
=> ( zip_tseitin_10 @ X14 @ X13 ) ) ).
thf(zf_stmt_20,type,
zip_tseitin_9: $i > $i > $o ).
thf(zf_stmt_21,axiom,
! [X16: $i,X15: $i] :
( ( ( zip_tseitin_4 @ X16 @ X15 )
=> ( zip_tseitin_8 @ X16 @ X15 ) )
=> ( zip_tseitin_9 @ X16 @ X15 ) ) ).
thf(zf_stmt_22,type,
zip_tseitin_8: $i > $i > $o ).
thf(zf_stmt_23,axiom,
! [X16: $i,X15: $i] :
( ( ( zip_tseitin_7 @ X16 @ X15 )
=> ( ( a_select3 @ id_ds1_filter_init @ X15 @ X16 )
= init ) )
=> ( zip_tseitin_8 @ X16 @ X15 ) ) ).
thf(zf_stmt_24,type,
zip_tseitin_7: $i > $i > $o ).
thf(zf_stmt_25,axiom,
! [X16: $i,X15: $i] :
( ( zip_tseitin_7 @ X16 @ X15 )
=> ( ( X15 = pv63 )
& ( gt @ pv64 @ X16 ) ) ) ).
thf(zf_stmt_26,type,
zip_tseitin_6: $i > $i > $o ).
thf(zf_stmt_27,axiom,
! [X18: $i,X17: $i] :
( ( ( zip_tseitin_4 @ X18 @ X17 )
=> ( zip_tseitin_5 @ X18 @ X17 ) )
=> ( zip_tseitin_6 @ X18 @ X17 ) ) ).
thf(zf_stmt_28,type,
zip_tseitin_5: $i > $i > $o ).
thf(zf_stmt_29,axiom,
! [X18: $i,X17: $i] :
( ( ( gt @ pv63 @ X17 )
=> ( ( a_select3 @ id_ds1_filter_init @ X17 @ X18 )
= init ) )
=> ( zip_tseitin_5 @ X18 @ X17 ) ) ).
thf(zf_stmt_30,type,
zip_tseitin_4: $i > $i > $o ).
thf(zf_stmt_31,axiom,
! [X18: $i,X17: $i] :
( ( zip_tseitin_4 @ X18 @ X17 )
=> ( ( leq @ n0 @ X17 )
& ( leq @ n0 @ X18 )
& ( leq @ X17 @ n5 )
& ( leq @ X18 @ n5 ) ) ) ).
thf(zf_stmt_32,type,
zip_tseitin_3: $i > $o ).
thf(zf_stmt_33,axiom,
! [X19: $i] :
( ( ( zip_tseitin_0 @ X19 )
=> ! [X20: $i] : ( zip_tseitin_2 @ X20 @ X19 ) )
=> ( zip_tseitin_3 @ X19 ) ) ).
thf(zf_stmt_34,type,
zip_tseitin_2: $i > $i > $o ).
thf(zf_stmt_35,axiom,
! [X20: $i,X19: $i] :
( ( ( zip_tseitin_1 @ X20 )
=> ( ( a_select3 @ id_ds1_filter_init @ X19 @ X20 )
= init ) )
=> ( zip_tseitin_2 @ X20 @ X19 ) ) ).
thf(zf_stmt_36,type,
zip_tseitin_1: $i > $o ).
thf(zf_stmt_37,axiom,
! [X20: $i] :
( ( zip_tseitin_1 @ X20 )
=> ( ( leq @ n0 @ X20 )
& ( leq @ X20 @ n5 ) ) ) ).
thf(zf_stmt_38,type,
zip_tseitin_0: $i > $o ).
thf(zf_stmt_39,axiom,
! [X19: $i] :
( ( zip_tseitin_0 @ X19 )
=> ( ( leq @ n0 @ X19 )
& ( leq @ X19 @ ( pred @ pv63 ) ) ) ) ).
thf(zf_stmt_40,axiom,
( ( ( pv63 != pv64 )
& ( leq @ n0 @ pv5 )
& ( leq @ n0 @ pv63 )
& ( leq @ n0 @ pv64 )
& ( leq @ pv5 @ n998 )
& ( leq @ pv63 @ n5 )
& ( leq @ pv64 @ n5 )
& ! [X1: $i,X2: $i] : ( zip_tseitin_19 @ X2 @ X1 )
& ! [X3: $i,X4: $i] : ( zip_tseitin_17 @ X4 @ X3 )
& ! [X5: $i,X6: $i] : ( zip_tseitin_16 @ X6 @ X5 )
& ! [X7: $i,X8: $i] : ( zip_tseitin_15 @ X8 @ X7 )
& ! [X9: $i,X10: $i] : ( zip_tseitin_14 @ X10 @ X9 )
& ! [X11: $i,X12: $i] : ( zip_tseitin_12 @ X12 @ X11 )
& ! [X13: $i,X14: $i] : ( zip_tseitin_10 @ X14 @ X13 )
& ! [X15: $i,X16: $i] : ( zip_tseitin_9 @ X16 @ X15 )
& ! [X17: $i,X18: $i] : ( zip_tseitin_6 @ X18 @ X17 )
& ! [X19: $i] : ( zip_tseitin_3 @ X19 ) )
=> ! [X21: $i,X22: $i] :
( ( ( leq @ n0 @ X21 )
& ( leq @ n0 @ X22 )
& ( leq @ X21 @ n5 )
& ( leq @ X22 @ n5 ) )
=> ( ( ( pv64 != X22 )
& ( X21 = pv63 )
& ( leq @ X22 @ pv64 ) )
=> ( ( a_select3 @ id_ds1_filter_init @ X21 @ X22 )
= init ) ) ) ) ).
thf(zip_derived_cl48,plain,
! [X0: $i,X1: $i] :
( ( pv64 = X0 )
| ~ ( leq @ X0 @ pv64 )
| ( ( a_select3 @ id_ds1_filter_init @ X1 @ X0 )
= init )
| ~ ( leq @ X0 @ n5 )
| ~ ( leq @ n0 @ X0 )
| ~ ( leq @ n0 @ X1 )
| ~ ( leq @ X1 @ n5 )
| ( X1 != pv63 )
| ~ ( zip_tseitin_3 @ sk__1 )
| ~ ( zip_tseitin_6 @ sk__3 @ sk__2 )
| ~ ( zip_tseitin_9 @ sk__5 @ sk__4 )
| ~ ( zip_tseitin_10 @ sk__7 @ sk__6 )
| ~ ( zip_tseitin_12 @ sk__9 @ sk__8 )
| ~ ( zip_tseitin_14 @ sk__11 @ sk__10 )
| ~ ( zip_tseitin_15 @ sk__13 @ sk__12 )
| ~ ( zip_tseitin_16 @ sk__15 @ sk__14 )
| ~ ( zip_tseitin_17 @ sk__17 @ sk__16 )
| ~ ( zip_tseitin_19 @ sk__19 @ sk__18 )
| ~ ( leq @ pv64 @ n5 )
| ~ ( leq @ pv63 @ n5 )
| ~ ( leq @ pv5 @ n998 )
| ~ ( leq @ n0 @ pv64 )
| ~ ( leq @ n0 @ pv63 )
| ~ ( leq @ n0 @ pv5 )
| ( pv63 = pv64 ) ),
inference(cnf,[status(esa)],[zf_stmt_40]) ).
thf(zip_derived_cl81,plain,
( ~ ( zip_tseitin_19 @ sk__19 @ sk__18 )
<= ~ ( zip_tseitin_19 @ sk__19 @ sk__18 ) ),
inference(split,[status(esa)],[zip_derived_cl48]) ).
thf(zip_derived_cl221,plain,
( ( zip_tseitin_18 @ sk__19 @ sk__18 )
<= ~ ( zip_tseitin_19 @ sk__19 @ sk__18 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl47,zip_derived_cl81]) ).
thf(zip_derived_cl43,plain,
! [X0: $i,X1: $i] :
( ( leq @ n0 @ X0 )
| ~ ( zip_tseitin_18 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(zip_derived_cl235,plain,
( ( leq @ n0 @ sk__19 )
<= ~ ( zip_tseitin_19 @ sk__19 @ sk__18 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl221,zip_derived_cl43]) ).
thf(n91,conjecture,
( ( ( pv63 != pv64 )
& ( leq @ n0 @ pv5 )
& ( leq @ n0 @ pv63 )
& ( leq @ n0 @ pv64 )
& ( leq @ pv5 @ n998 )
& ( leq @ pv63 @ n5 )
& ( leq @ pv64 @ n5 )
& ! [X1: $i,X2: $i] :
( ( ( leq @ n0 @ X1 )
& ( leq @ n0 @ X2 )
& ( leq @ X1 @ n2 )
& ( leq @ X2 @ n5 ) )
=> ( ( a_select3 @ h_ds1_filter_init @ X1 @ X2 )
= init ) )
& ! [X3: $i,X4: $i] :
( ( ( leq @ n0 @ X3 )
& ( leq @ n0 @ X4 )
& ( leq @ X3 @ n5 )
& ( leq @ X4 @ n5 ) )
=> ( ( a_select3 @ phi_ds1_filter_init @ X3 @ X4 )
= init ) )
& ! [X5: $i,X6: $i] :
( ( ( leq @ n0 @ X5 )
& ( leq @ n0 @ X6 )
& ( leq @ X5 @ n5 )
& ( leq @ X6 @ n0 ) )
=> ( ( a_select3 @ dv_ds1_filter_init @ X5 @ X6 )
= init ) )
& ! [X7: $i,X8: $i] :
( ( ( leq @ n0 @ X7 )
& ( leq @ n0 @ X8 )
& ( leq @ X7 @ n5 )
& ( leq @ X8 @ n5 ) )
=> ( ( a_select3 @ q_ds1_filter_init @ X7 @ X8 )
= init ) )
& ! [X9: $i,X10: $i] :
( ( ( leq @ n0 @ X9 )
& ( leq @ n0 @ X10 )
& ( leq @ X9 @ n2 )
& ( leq @ X10 @ n2 ) )
=> ( ( a_select3 @ r_ds1_filter_init @ X9 @ X10 )
= init ) )
& ! [X11: $i,X12: $i] :
( ( ( leq @ n0 @ X11 )
& ( leq @ n0 @ X12 )
& ( leq @ X11 @ n5 )
& ( leq @ X12 @ n0 ) )
=> ( ( a_select3 @ xhatmin_ds1_filter_init @ X11 @ X12 )
= init ) )
& ! [X13: $i,X14: $i] :
( ( ( leq @ n0 @ X13 )
& ( leq @ n0 @ X14 )
& ( leq @ X13 @ n5 )
& ( leq @ X14 @ n5 ) )
=> ( ( a_select3 @ pminus_ds1_filter_init @ X13 @ X14 )
= init ) )
& ! [X15: $i,X16: $i] :
( ( ( leq @ n0 @ X15 )
& ( leq @ n0 @ X16 )
& ( leq @ X15 @ n5 )
& ( leq @ X16 @ n5 ) )
=> ( ( ( X15 = pv63 )
& ( gt @ pv64 @ X16 ) )
=> ( ( a_select3 @ id_ds1_filter_init @ X15 @ X16 )
= init ) ) )
& ! [X17: $i,X18: $i] :
( ( ( leq @ n0 @ X17 )
& ( leq @ n0 @ X18 )
& ( leq @ X17 @ n5 )
& ( leq @ X18 @ n5 ) )
=> ( ( gt @ pv63 @ X17 )
=> ( ( a_select3 @ id_ds1_filter_init @ X17 @ X18 )
= init ) ) )
& ! [X19: $i] :
( ( ( leq @ n0 @ X19 )
& ( leq @ X19 @ ( pred @ pv63 ) ) )
=> ! [X20: $i] :
( ( ( leq @ n0 @ X20 )
& ( leq @ X20 @ n5 ) )
=> ( ( a_select3 @ id_ds1_filter_init @ X19 @ X20 )
= init ) ) ) )
=> ! [X21: $i,X22: $i] :
( ( ( leq @ n0 @ X21 )
& ( leq @ n0 @ X22 )
& ( leq @ X21 @ n5 )
& ( leq @ X22 @ n5 ) )
=> ( ( ( pv64 != X22 )
& ( X21 = pv63 )
& ( leq @ X22 @ pv64 ) )
=> ( ( a_select3 @ id_ds1_filter_init @ X21 @ X22 )
= init ) ) ) ) ).
thf(zf_stmt_41,negated_conjecture,
~ ( ( ( pv63 != pv64 )
& ( leq @ n0 @ pv5 )
& ( leq @ n0 @ pv63 )
& ( leq @ n0 @ pv64 )
& ( leq @ pv5 @ n998 )
& ( leq @ pv63 @ n5 )
& ( leq @ pv64 @ n5 )
& ! [X1: $i,X2: $i] :
( ( ( leq @ n0 @ X1 )
& ( leq @ n0 @ X2 )
& ( leq @ X1 @ n2 )
& ( leq @ X2 @ n5 ) )
=> ( ( a_select3 @ h_ds1_filter_init @ X1 @ X2 )
= init ) )
& ! [X3: $i,X4: $i] :
( ( ( leq @ n0 @ X3 )
& ( leq @ n0 @ X4 )
& ( leq @ X3 @ n5 )
& ( leq @ X4 @ n5 ) )
=> ( ( a_select3 @ phi_ds1_filter_init @ X3 @ X4 )
= init ) )
& ! [X5: $i,X6: $i] :
( ( ( leq @ n0 @ X5 )
& ( leq @ n0 @ X6 )
& ( leq @ X5 @ n5 )
& ( leq @ X6 @ n0 ) )
=> ( ( a_select3 @ dv_ds1_filter_init @ X5 @ X6 )
= init ) )
& ! [X7: $i,X8: $i] :
( ( ( leq @ n0 @ X7 )
& ( leq @ n0 @ X8 )
& ( leq @ X7 @ n5 )
& ( leq @ X8 @ n5 ) )
=> ( ( a_select3 @ q_ds1_filter_init @ X7 @ X8 )
= init ) )
& ! [X9: $i,X10: $i] :
( ( ( leq @ n0 @ X9 )
& ( leq @ n0 @ X10 )
& ( leq @ X9 @ n2 )
& ( leq @ X10 @ n2 ) )
=> ( ( a_select3 @ r_ds1_filter_init @ X9 @ X10 )
= init ) )
& ! [X11: $i,X12: $i] :
( ( ( leq @ n0 @ X11 )
& ( leq @ n0 @ X12 )
& ( leq @ X11 @ n5 )
& ( leq @ X12 @ n0 ) )
=> ( ( a_select3 @ xhatmin_ds1_filter_init @ X11 @ X12 )
= init ) )
& ! [X13: $i,X14: $i] :
( ( ( leq @ n0 @ X13 )
& ( leq @ n0 @ X14 )
& ( leq @ X13 @ n5 )
& ( leq @ X14 @ n5 ) )
=> ( ( a_select3 @ pminus_ds1_filter_init @ X13 @ X14 )
= init ) )
& ! [X15: $i,X16: $i] :
( ( ( leq @ n0 @ X15 )
& ( leq @ n0 @ X16 )
& ( leq @ X15 @ n5 )
& ( leq @ X16 @ n5 ) )
=> ( ( ( X15 = pv63 )
& ( gt @ pv64 @ X16 ) )
=> ( ( a_select3 @ id_ds1_filter_init @ X15 @ X16 )
= init ) ) )
& ! [X17: $i,X18: $i] :
( ( ( leq @ n0 @ X17 )
& ( leq @ n0 @ X18 )
& ( leq @ X17 @ n5 )
& ( leq @ X18 @ n5 ) )
=> ( ( gt @ pv63 @ X17 )
=> ( ( a_select3 @ id_ds1_filter_init @ X17 @ X18 )
= init ) ) )
& ! [X19: $i] :
( ( ( leq @ n0 @ X19 )
& ( leq @ X19 @ ( pred @ pv63 ) ) )
=> ! [X20: $i] :
( ( ( leq @ n0 @ X20 )
& ( leq @ X20 @ n5 ) )
=> ( ( a_select3 @ id_ds1_filter_init @ X19 @ X20 )
= init ) ) ) )
=> ! [X21: $i,X22: $i] :
( ( ( leq @ n0 @ X21 )
& ( leq @ n0 @ X22 )
& ( leq @ X21 @ n5 )
& ( leq @ X22 @ n5 ) )
=> ( ( ( pv64 != X22 )
& ( X21 = pv63 )
& ( leq @ X22 @ pv64 ) )
=> ( ( a_select3 @ id_ds1_filter_init @ X21 @ X22 )
= init ) ) ) ),
inference('cnf.neg',[status(esa)],[n91]) ).
thf(zip_derived_cl56,plain,
! [X0: $i,X1: $i] :
( ~ ( leq @ X0 @ n2 )
| ~ ( leq @ n0 @ X0 )
| ~ ( leq @ n0 @ X1 )
| ~ ( leq @ X1 @ n5 )
| ( ( a_select3 @ h_ds1_filter_init @ X0 @ X1 )
= init ) ),
inference(cnf,[status(esa)],[zf_stmt_41]) ).
thf(zip_derived_cl46,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_19 @ X0 @ X1 )
| ( ( a_select3 @ h_ds1_filter_init @ X1 @ X0 )
!= init ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl81_001,plain,
( ~ ( zip_tseitin_19 @ sk__19 @ sk__18 )
<= ~ ( zip_tseitin_19 @ sk__19 @ sk__18 ) ),
inference(split,[status(esa)],[zip_derived_cl48]) ).
thf(zip_derived_cl209,plain,
( ( ( a_select3 @ h_ds1_filter_init @ sk__18 @ sk__19 )
!= init )
<= ~ ( zip_tseitin_19 @ sk__19 @ sk__18 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl46,zip_derived_cl81]) ).
thf(zip_derived_cl223,plain,
( ( ~ ( leq @ sk__19 @ n5 )
| ~ ( leq @ n0 @ sk__19 )
| ~ ( leq @ n0 @ sk__18 )
| ~ ( leq @ sk__18 @ n2 )
| ( init != init ) )
<= ~ ( zip_tseitin_19 @ sk__19 @ sk__18 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl56,zip_derived_cl209]) ).
thf(zip_derived_cl224,plain,
( ( ~ ( leq @ sk__18 @ n2 )
| ~ ( leq @ n0 @ sk__18 )
| ~ ( leq @ n0 @ sk__19 )
| ~ ( leq @ sk__19 @ n5 ) )
<= ~ ( zip_tseitin_19 @ sk__19 @ sk__18 ) ),
inference(simplify,[status(thm)],[zip_derived_cl223]) ).
thf(zip_derived_cl226,plain,
( ~ ( leq @ n0 @ sk__19 )
<= ~ ( leq @ n0 @ sk__19 ) ),
inference(split,[status(esa)],[zip_derived_cl224]) ).
thf('0',plain,
( ( leq @ n0 @ sk__19 )
| ( zip_tseitin_19 @ sk__19 @ sk__18 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl235,zip_derived_cl226]) ).
thf(zip_derived_cl91,plain,
( ( pv63 = pv64 )
<= ( pv63 = pv64 ) ),
inference(split,[status(esa)],[zip_derived_cl48]) ).
thf(zip_derived_cl49,plain,
pv63 != pv64,
inference(cnf,[status(esa)],[zf_stmt_41]) ).
thf('1',plain,
pv63 != pv64,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl91,zip_derived_cl49]) ).
thf(zip_derived_cl53,plain,
leq @ pv5 @ n998,
inference(cnf,[status(esa)],[zf_stmt_41]) ).
thf(zip_derived_cl78,plain,
( ~ ( leq @ pv5 @ n998 )
<= ~ ( leq @ pv5 @ n998 ) ),
inference(split,[status(esa)],[zip_derived_cl48]) ).
thf('2',plain,
leq @ pv5 @ n998,
inference('s_sup-',[status(thm)],[zip_derived_cl53,zip_derived_cl78]) ).
thf(zip_derived_cl55,plain,
leq @ pv64 @ n5,
inference(cnf,[status(esa)],[zf_stmt_41]) ).
thf(zip_derived_cl80,plain,
( ~ ( leq @ pv64 @ n5 )
<= ~ ( leq @ pv64 @ n5 ) ),
inference(split,[status(esa)],[zip_derived_cl48]) ).
thf('3',plain,
leq @ pv64 @ n5,
inference('s_sup-',[status(thm)],[zip_derived_cl55,zip_derived_cl80]) ).
thf(zip_derived_cl20,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_9 @ X0 @ X1 )
| ~ ( zip_tseitin_8 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_21]) ).
thf(zip_derived_cl88,plain,
( ~ ( zip_tseitin_9 @ sk__5 @ sk__4 )
<= ~ ( zip_tseitin_9 @ sk__5 @ sk__4 ) ),
inference(split,[status(esa)],[zip_derived_cl48]) ).
thf(zip_derived_cl143,plain,
( ~ ( zip_tseitin_8 @ sk__5 @ sk__4 )
<= ~ ( zip_tseitin_9 @ sk__5 @ sk__4 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl20,zip_derived_cl88]) ).
thf(zip_derived_cl19,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_8 @ X0 @ X1 )
| ( zip_tseitin_7 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_23]) ).
thf(zip_derived_cl146,plain,
( ( zip_tseitin_7 @ sk__5 @ sk__4 )
<= ~ ( zip_tseitin_9 @ sk__5 @ sk__4 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl143,zip_derived_cl19]) ).
thf(zip_derived_cl146_002,plain,
( ( zip_tseitin_7 @ sk__5 @ sk__4 )
<= ~ ( zip_tseitin_9 @ sk__5 @ sk__4 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl143,zip_derived_cl19]) ).
thf(zip_derived_cl16,plain,
! [X0: $i,X1: $i] :
( ( X0 = pv63 )
| ~ ( zip_tseitin_7 @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_25]) ).
thf(zip_derived_cl151,plain,
( ( sk__4 = pv63 )
<= ~ ( zip_tseitin_9 @ sk__5 @ sk__4 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl146,zip_derived_cl16]) ).
thf(zip_derived_cl158,plain,
( ( zip_tseitin_7 @ sk__5 @ pv63 )
<= ~ ( zip_tseitin_9 @ sk__5 @ sk__4 ) ),
inference(demod,[status(thm)],[zip_derived_cl146,zip_derived_cl151]) ).
thf(zip_derived_cl17,plain,
! [X0: $i,X1: $i] :
( ( gt @ pv64 @ X0 )
| ~ ( zip_tseitin_7 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_25]) ).
thf(zip_derived_cl172,plain,
( ( gt @ pv64 @ sk__5 )
<= ~ ( zip_tseitin_9 @ sk__5 @ sk__4 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl158,zip_derived_cl17]) ).
thf(zip_derived_cl63,plain,
! [X14: $i,X15: $i] :
( ( X14 != pv63 )
| ~ ( leq @ X14 @ n5 )
| ~ ( leq @ n0 @ X14 )
| ~ ( leq @ n0 @ X15 )
| ~ ( leq @ X15 @ n5 )
| ( ( a_select3 @ id_ds1_filter_init @ X14 @ X15 )
= init )
| ~ ( gt @ pv64 @ X15 ) ),
inference(cnf,[status(esa)],[zf_stmt_41]) ).
thf(zip_derived_cl270,plain,
( ! [X0: $i] :
( ( X0 != pv63 )
| ~ ( leq @ X0 @ n5 )
| ~ ( leq @ n0 @ X0 )
| ~ ( leq @ n0 @ sk__5 )
| ~ ( leq @ sk__5 @ n5 )
| ( ( a_select3 @ id_ds1_filter_init @ X0 @ sk__5 )
= init ) )
<= ~ ( zip_tseitin_9 @ sk__5 @ sk__4 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl172,zip_derived_cl63]) ).
thf(zip_derived_cl88_003,plain,
( ~ ( zip_tseitin_9 @ sk__5 @ sk__4 )
<= ~ ( zip_tseitin_9 @ sk__5 @ sk__4 ) ),
inference(split,[status(esa)],[zip_derived_cl48]) ).
thf(zip_derived_cl151_004,plain,
( ( sk__4 = pv63 )
<= ~ ( zip_tseitin_9 @ sk__5 @ sk__4 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl146,zip_derived_cl16]) ).
thf(zip_derived_cl155,plain,
( ~ ( zip_tseitin_9 @ sk__5 @ pv63 )
<= ~ ( zip_tseitin_9 @ sk__5 @ sk__4 ) ),
inference(demod,[status(thm)],[zip_derived_cl88,zip_derived_cl151]) ).
thf(zip_derived_cl21,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_9 @ X0 @ X1 )
| ( zip_tseitin_4 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_21]) ).
thf(zip_derived_cl160,plain,
( ( zip_tseitin_4 @ sk__5 @ pv63 )
<= ~ ( zip_tseitin_9 @ sk__5 @ sk__4 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl155,zip_derived_cl21]) ).
thf(zip_derived_cl9,plain,
! [X0: $i,X1: $i] :
( ( leq @ n0 @ X0 )
| ~ ( zip_tseitin_4 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_31]) ).
thf(zip_derived_cl175,plain,
( ( leq @ n0 @ sk__5 )
<= ~ ( zip_tseitin_9 @ sk__5 @ sk__4 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl160,zip_derived_cl9]) ).
thf(zip_derived_cl160_005,plain,
( ( zip_tseitin_4 @ sk__5 @ pv63 )
<= ~ ( zip_tseitin_9 @ sk__5 @ sk__4 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl155,zip_derived_cl21]) ).
thf(zip_derived_cl11,plain,
! [X0: $i,X1: $i] :
( ( leq @ X0 @ n5 )
| ~ ( zip_tseitin_4 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_31]) ).
thf(zip_derived_cl176,plain,
( ( leq @ sk__5 @ n5 )
<= ~ ( zip_tseitin_9 @ sk__5 @ sk__4 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl160,zip_derived_cl11]) ).
thf(zip_derived_cl271,plain,
( ! [X0: $i] :
( ( X0 != pv63 )
| ~ ( leq @ X0 @ n5 )
| ~ ( leq @ n0 @ X0 )
| ( ( a_select3 @ id_ds1_filter_init @ X0 @ sk__5 )
= init ) )
<= ~ ( zip_tseitin_9 @ sk__5 @ sk__4 ) ),
inference(demod,[status(thm)],[zip_derived_cl270,zip_derived_cl175,zip_derived_cl176]) ).
thf(zip_derived_cl143_006,plain,
( ~ ( zip_tseitin_8 @ sk__5 @ sk__4 )
<= ~ ( zip_tseitin_9 @ sk__5 @ sk__4 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl20,zip_derived_cl88]) ).
thf(zip_derived_cl18,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_8 @ X0 @ X1 )
| ( ( a_select3 @ id_ds1_filter_init @ X1 @ X0 )
!= init ) ),
inference(cnf,[status(esa)],[zf_stmt_23]) ).
thf(zip_derived_cl145,plain,
( ( ( a_select3 @ id_ds1_filter_init @ sk__4 @ sk__5 )
!= init )
<= ~ ( zip_tseitin_9 @ sk__5 @ sk__4 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl143,zip_derived_cl18]) ).
thf(zip_derived_cl151_007,plain,
( ( sk__4 = pv63 )
<= ~ ( zip_tseitin_9 @ sk__5 @ sk__4 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl146,zip_derived_cl16]) ).
thf(zip_derived_cl157,plain,
( ( ( a_select3 @ id_ds1_filter_init @ pv63 @ sk__5 )
!= init )
<= ~ ( zip_tseitin_9 @ sk__5 @ sk__4 ) ),
inference(demod,[status(thm)],[zip_derived_cl145,zip_derived_cl151]) ).
thf(zip_derived_cl272,plain,
( ( ~ ( leq @ n0 @ pv63 )
| ~ ( leq @ pv63 @ n5 )
| ( pv63 != pv63 )
| ( init != init ) )
<= ~ ( zip_tseitin_9 @ sk__5 @ sk__4 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl271,zip_derived_cl157]) ).
thf(zip_derived_cl51,plain,
leq @ n0 @ pv63,
inference(cnf,[status(esa)],[zf_stmt_41]) ).
thf(zip_derived_cl54,plain,
leq @ pv63 @ n5,
inference(cnf,[status(esa)],[zf_stmt_41]) ).
thf(zip_derived_cl273,plain,
( ( ( pv63 != pv63 )
| ( init != init ) )
<= ~ ( zip_tseitin_9 @ sk__5 @ sk__4 ) ),
inference(demod,[status(thm)],[zip_derived_cl272,zip_derived_cl51,zip_derived_cl54]) ).
thf('4',plain,
zip_tseitin_9 @ sk__5 @ sk__4,
inference(simplify,[status(thm)],[zip_derived_cl273]) ).
thf(zip_derived_cl62,plain,
! [X12: $i,X13: $i] :
( ~ ( leq @ X12 @ n5 )
| ~ ( leq @ n0 @ X12 )
| ~ ( leq @ n0 @ X13 )
| ~ ( leq @ X13 @ n5 )
| ( ( a_select3 @ pminus_ds1_filter_init @ X12 @ X13 )
= init ) ),
inference(cnf,[status(esa)],[zf_stmt_41]) ).
thf(zip_derived_cl22,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_10 @ X0 @ X1 )
| ( ( a_select3 @ pminus_ds1_filter_init @ X1 @ X0 )
!= init ) ),
inference(cnf,[status(esa)],[zf_stmt_19]) ).
thf(zip_derived_cl87,plain,
( ~ ( zip_tseitin_10 @ sk__7 @ sk__6 )
<= ~ ( zip_tseitin_10 @ sk__7 @ sk__6 ) ),
inference(split,[status(esa)],[zip_derived_cl48]) ).
thf(zip_derived_cl149,plain,
( ( ( a_select3 @ pminus_ds1_filter_init @ sk__6 @ sk__7 )
!= init )
<= ~ ( zip_tseitin_10 @ sk__7 @ sk__6 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl22,zip_derived_cl87]) ).
thf(zip_derived_cl267,plain,
( ( ~ ( leq @ sk__7 @ n5 )
| ~ ( leq @ n0 @ sk__7 )
| ~ ( leq @ n0 @ sk__6 )
| ~ ( leq @ sk__6 @ n5 )
| ( init != init ) )
<= ~ ( zip_tseitin_10 @ sk__7 @ sk__6 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl62,zip_derived_cl149]) ).
thf(zip_derived_cl23,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_10 @ X0 @ X1 )
| ( zip_tseitin_4 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_19]) ).
thf(zip_derived_cl87_008,plain,
( ~ ( zip_tseitin_10 @ sk__7 @ sk__6 )
<= ~ ( zip_tseitin_10 @ sk__7 @ sk__6 ) ),
inference(split,[status(esa)],[zip_derived_cl48]) ).
thf(zip_derived_cl169,plain,
( ( zip_tseitin_4 @ sk__7 @ sk__6 )
<= ~ ( zip_tseitin_10 @ sk__7 @ sk__6 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl23,zip_derived_cl87]) ).
thf(zip_derived_cl11_009,plain,
! [X0: $i,X1: $i] :
( ( leq @ X0 @ n5 )
| ~ ( zip_tseitin_4 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_31]) ).
thf(zip_derived_cl184,plain,
( ( leq @ sk__7 @ n5 )
<= ~ ( zip_tseitin_10 @ sk__7 @ sk__6 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl169,zip_derived_cl11]) ).
thf(zip_derived_cl169_010,plain,
( ( zip_tseitin_4 @ sk__7 @ sk__6 )
<= ~ ( zip_tseitin_10 @ sk__7 @ sk__6 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl23,zip_derived_cl87]) ).
thf(zip_derived_cl9_011,plain,
! [X0: $i,X1: $i] :
( ( leq @ n0 @ X0 )
| ~ ( zip_tseitin_4 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_31]) ).
thf(zip_derived_cl183,plain,
( ( leq @ n0 @ sk__7 )
<= ~ ( zip_tseitin_10 @ sk__7 @ sk__6 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl169,zip_derived_cl9]) ).
thf(zip_derived_cl169_012,plain,
( ( zip_tseitin_4 @ sk__7 @ sk__6 )
<= ~ ( zip_tseitin_10 @ sk__7 @ sk__6 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl23,zip_derived_cl87]) ).
thf(zip_derived_cl8,plain,
! [X0: $i,X1: $i] :
( ( leq @ n0 @ X0 )
| ~ ( zip_tseitin_4 @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_31]) ).
thf(zip_derived_cl181,plain,
( ( leq @ n0 @ sk__6 )
<= ~ ( zip_tseitin_10 @ sk__7 @ sk__6 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl169,zip_derived_cl8]) ).
thf(zip_derived_cl169_013,plain,
( ( zip_tseitin_4 @ sk__7 @ sk__6 )
<= ~ ( zip_tseitin_10 @ sk__7 @ sk__6 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl23,zip_derived_cl87]) ).
thf(zip_derived_cl10,plain,
! [X0: $i,X1: $i] :
( ( leq @ X0 @ n5 )
| ~ ( zip_tseitin_4 @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_31]) ).
thf(zip_derived_cl182,plain,
( ( leq @ sk__6 @ n5 )
<= ~ ( zip_tseitin_10 @ sk__7 @ sk__6 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl169,zip_derived_cl10]) ).
thf(zip_derived_cl268,plain,
( ( init != init )
<= ~ ( zip_tseitin_10 @ sk__7 @ sk__6 ) ),
inference(demod,[status(thm)],[zip_derived_cl267,zip_derived_cl184,zip_derived_cl183,zip_derived_cl181,zip_derived_cl182]) ).
thf('5',plain,
zip_tseitin_10 @ sk__7 @ sk__6,
inference(simplify,[status(thm)],[zip_derived_cl268]) ).
thf(zip_derived_cl61,plain,
! [X10: $i,X11: $i] :
( ~ ( leq @ X10 @ n5 )
| ~ ( leq @ n0 @ X10 )
| ~ ( leq @ n0 @ X11 )
| ~ ( leq @ X11 @ n0 )
| ( ( a_select3 @ xhatmin_ds1_filter_init @ X10 @ X11 )
= init ) ),
inference(cnf,[status(esa)],[zf_stmt_41]) ).
thf(zip_derived_cl28,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_12 @ X0 @ X1 )
| ( ( a_select3 @ xhatmin_ds1_filter_init @ X1 @ X0 )
!= init ) ),
inference(cnf,[status(esa)],[zf_stmt_15]) ).
thf(zip_derived_cl86,plain,
( ~ ( zip_tseitin_12 @ sk__9 @ sk__8 )
<= ~ ( zip_tseitin_12 @ sk__9 @ sk__8 ) ),
inference(split,[status(esa)],[zip_derived_cl48]) ).
thf(zip_derived_cl167,plain,
( ( ( a_select3 @ xhatmin_ds1_filter_init @ sk__8 @ sk__9 )
!= init )
<= ~ ( zip_tseitin_12 @ sk__9 @ sk__8 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl28,zip_derived_cl86]) ).
thf(zip_derived_cl264,plain,
( ( ~ ( leq @ sk__9 @ n0 )
| ~ ( leq @ n0 @ sk__9 )
| ~ ( leq @ n0 @ sk__8 )
| ~ ( leq @ sk__8 @ n5 )
| ( init != init ) )
<= ~ ( zip_tseitin_12 @ sk__9 @ sk__8 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl61,zip_derived_cl167]) ).
thf(zip_derived_cl29,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_12 @ X0 @ X1 )
| ( zip_tseitin_11 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_15]) ).
thf(zip_derived_cl86_014,plain,
( ~ ( zip_tseitin_12 @ sk__9 @ sk__8 )
<= ~ ( zip_tseitin_12 @ sk__9 @ sk__8 ) ),
inference(split,[status(esa)],[zip_derived_cl48]) ).
thf(zip_derived_cl179,plain,
( ( zip_tseitin_11 @ sk__9 @ sk__8 )
<= ~ ( zip_tseitin_12 @ sk__9 @ sk__8 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl29,zip_derived_cl86]) ).
thf(zip_derived_cl27,plain,
! [X0: $i,X1: $i] :
( ( leq @ X0 @ n0 )
| ~ ( zip_tseitin_11 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_17]) ).
thf(zip_derived_cl192,plain,
( ( leq @ sk__9 @ n0 )
<= ~ ( zip_tseitin_12 @ sk__9 @ sk__8 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl179,zip_derived_cl27]) ).
thf(zip_derived_cl179_015,plain,
( ( zip_tseitin_11 @ sk__9 @ sk__8 )
<= ~ ( zip_tseitin_12 @ sk__9 @ sk__8 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl29,zip_derived_cl86]) ).
thf(zip_derived_cl25,plain,
! [X0: $i,X1: $i] :
( ( leq @ n0 @ X0 )
| ~ ( zip_tseitin_11 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_17]) ).
thf(zip_derived_cl191,plain,
( ( leq @ n0 @ sk__9 )
<= ~ ( zip_tseitin_12 @ sk__9 @ sk__8 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl179,zip_derived_cl25]) ).
thf(zip_derived_cl179_016,plain,
( ( zip_tseitin_11 @ sk__9 @ sk__8 )
<= ~ ( zip_tseitin_12 @ sk__9 @ sk__8 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl29,zip_derived_cl86]) ).
thf(zip_derived_cl24,plain,
! [X0: $i,X1: $i] :
( ( leq @ n0 @ X0 )
| ~ ( zip_tseitin_11 @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_17]) ).
thf(zip_derived_cl189,plain,
( ( leq @ n0 @ sk__8 )
<= ~ ( zip_tseitin_12 @ sk__9 @ sk__8 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl179,zip_derived_cl24]) ).
thf(zip_derived_cl179_017,plain,
( ( zip_tseitin_11 @ sk__9 @ sk__8 )
<= ~ ( zip_tseitin_12 @ sk__9 @ sk__8 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl29,zip_derived_cl86]) ).
thf(zip_derived_cl26,plain,
! [X0: $i,X1: $i] :
( ( leq @ X0 @ n5 )
| ~ ( zip_tseitin_11 @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_17]) ).
thf(zip_derived_cl190,plain,
( ( leq @ sk__8 @ n5 )
<= ~ ( zip_tseitin_12 @ sk__9 @ sk__8 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl179,zip_derived_cl26]) ).
thf(zip_derived_cl265,plain,
( ( init != init )
<= ~ ( zip_tseitin_12 @ sk__9 @ sk__8 ) ),
inference(demod,[status(thm)],[zip_derived_cl264,zip_derived_cl192,zip_derived_cl191,zip_derived_cl189,zip_derived_cl190]) ).
thf('6',plain,
zip_tseitin_12 @ sk__9 @ sk__8,
inference(simplify,[status(thm)],[zip_derived_cl265]) ).
thf(zip_derived_cl7,plain,
! [X0: $i] :
( ( zip_tseitin_3 @ X0 )
| ( zip_tseitin_0 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_33]) ).
thf(zip_derived_cl90,plain,
( ~ ( zip_tseitin_3 @ sk__1 )
<= ~ ( zip_tseitin_3 @ sk__1 ) ),
inference(split,[status(esa)],[zip_derived_cl48]) ).
thf(zip_derived_cl112,plain,
( ( zip_tseitin_0 @ sk__1 )
<= ~ ( zip_tseitin_3 @ sk__1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl7,zip_derived_cl90]) ).
thf(zip_derived_cl1,plain,
! [X0: $i] :
( ( leq @ X0 @ ( pred @ pv63 ) )
| ~ ( zip_tseitin_0 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_39]) ).
thf(zip_derived_cl65,plain,
! [X18: $i,X19: $i] :
( ~ ( leq @ n0 @ X18 )
| ~ ( leq @ X18 @ n5 )
| ( ( a_select3 @ id_ds1_filter_init @ X19 @ X18 )
= init )
| ~ ( leq @ X19 @ ( pred @ pv63 ) )
| ~ ( leq @ n0 @ X19 ) ),
inference(cnf,[status(esa)],[zf_stmt_41]) ).
thf(zip_derived_cl247,plain,
! [X0: $i,X1: $i] :
( ~ ( zip_tseitin_0 @ X0 )
| ~ ( leq @ n0 @ X1 )
| ~ ( leq @ X1 @ n5 )
| ( ( a_select3 @ id_ds1_filter_init @ X0 @ X1 )
= init )
| ~ ( leq @ n0 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1,zip_derived_cl65]) ).
thf(zip_derived_cl0,plain,
! [X0: $i] :
( ( leq @ n0 @ X0 )
| ~ ( zip_tseitin_0 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_39]) ).
thf(zip_derived_cl248,plain,
! [X0: $i,X1: $i] :
( ( ( a_select3 @ id_ds1_filter_init @ X0 @ X1 )
= init )
| ~ ( leq @ X1 @ n5 )
| ~ ( leq @ n0 @ X1 )
| ~ ( zip_tseitin_0 @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl247,zip_derived_cl0]) ).
thf(zip_derived_cl249,plain,
( ! [X0: $i] :
( ( ( a_select3 @ id_ds1_filter_init @ sk__1 @ X0 )
= init )
| ~ ( leq @ X0 @ n5 )
| ~ ( leq @ n0 @ X0 ) )
<= ~ ( zip_tseitin_3 @ sk__1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl112,zip_derived_cl248]) ).
thf(zip_derived_cl4,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_2 @ X0 @ X1 )
| ( ( a_select3 @ id_ds1_filter_init @ X1 @ X0 )
!= init ) ),
inference(cnf,[status(esa)],[zf_stmt_35]) ).
thf(zip_derived_cl6,plain,
! [X0: $i] :
( ( zip_tseitin_3 @ X0 )
| ~ ( zip_tseitin_2 @ ( sk_ @ X0 ) @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_33]) ).
thf(zip_derived_cl110,plain,
! [X0: $i] :
( ( ( a_select3 @ id_ds1_filter_init @ X0 @ ( sk_ @ X0 ) )
!= init )
| ( zip_tseitin_3 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl6]) ).
thf(zip_derived_cl250,plain,
( ( ~ ( leq @ n0 @ ( sk_ @ sk__1 ) )
| ~ ( leq @ ( sk_ @ sk__1 ) @ n5 )
| ( init != init )
| ( zip_tseitin_3 @ sk__1 ) )
<= ~ ( zip_tseitin_3 @ sk__1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl249,zip_derived_cl110]) ).
thf(zip_derived_cl90_018,plain,
( ~ ( zip_tseitin_3 @ sk__1 )
<= ~ ( zip_tseitin_3 @ sk__1 ) ),
inference(split,[status(esa)],[zip_derived_cl48]) ).
thf(zip_derived_cl251,plain,
( ( ~ ( leq @ n0 @ ( sk_ @ sk__1 ) )
| ~ ( leq @ ( sk_ @ sk__1 ) @ n5 )
| ( init != init ) )
<= ~ ( zip_tseitin_3 @ sk__1 ) ),
inference(demod,[status(thm)],[zip_derived_cl250,zip_derived_cl90]) ).
thf(zip_derived_cl252,plain,
( ( ~ ( leq @ ( sk_ @ sk__1 ) @ n5 )
| ~ ( leq @ n0 @ ( sk_ @ sk__1 ) ) )
<= ~ ( zip_tseitin_3 @ sk__1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl251]) ).
thf('7',plain,
( ( zip_tseitin_3 @ sk__1 )
| ~ ( leq @ ( sk_ @ sk__1 ) @ n5 )
| ~ ( leq @ n0 @ ( sk_ @ sk__1 ) ) ),
inference(split,[status(esa)],[zip_derived_cl252]) ).
thf(zip_derived_cl253,plain,
( ~ ( leq @ n0 @ ( sk_ @ sk__1 ) )
<= ~ ( leq @ n0 @ ( sk_ @ sk__1 ) ) ),
inference(split,[status(esa)],[zip_derived_cl252]) ).
thf(zip_derived_cl5,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_2 @ X0 @ X1 )
| ( zip_tseitin_1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_35]) ).
thf(zip_derived_cl6_019,plain,
! [X0: $i] :
( ( zip_tseitin_3 @ X0 )
| ~ ( zip_tseitin_2 @ ( sk_ @ X0 ) @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_33]) ).
thf(zip_derived_cl120,plain,
! [X0: $i] :
( ( zip_tseitin_1 @ ( sk_ @ X0 ) )
| ( zip_tseitin_3 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl6]) ).
thf(zip_derived_cl2,plain,
! [X0: $i] :
( ( leq @ n0 @ X0 )
| ~ ( zip_tseitin_1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_37]) ).
thf(zip_derived_cl141,plain,
! [X0: $i] :
( ( zip_tseitin_3 @ X0 )
| ( leq @ n0 @ ( sk_ @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl120,zip_derived_cl2]) ).
thf(zip_derived_cl255,plain,
( ( zip_tseitin_3 @ sk__1 )
<= ~ ( leq @ n0 @ ( sk_ @ sk__1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl253,zip_derived_cl141]) ).
thf(zip_derived_cl90_020,plain,
( ~ ( zip_tseitin_3 @ sk__1 )
<= ~ ( zip_tseitin_3 @ sk__1 ) ),
inference(split,[status(esa)],[zip_derived_cl48]) ).
thf('8',plain,
( ( leq @ n0 @ ( sk_ @ sk__1 ) )
| ( zip_tseitin_3 @ sk__1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl255,zip_derived_cl90]) ).
thf(zip_derived_cl254,plain,
( ~ ( leq @ ( sk_ @ sk__1 ) @ n5 )
<= ~ ( leq @ ( sk_ @ sk__1 ) @ n5 ) ),
inference(split,[status(esa)],[zip_derived_cl252]) ).
thf(zip_derived_cl120_021,plain,
! [X0: $i] :
( ( zip_tseitin_1 @ ( sk_ @ X0 ) )
| ( zip_tseitin_3 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl6]) ).
thf(zip_derived_cl3,plain,
! [X0: $i] :
( ( leq @ X0 @ n5 )
| ~ ( zip_tseitin_1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_37]) ).
thf(zip_derived_cl142,plain,
! [X0: $i] :
( ( zip_tseitin_3 @ X0 )
| ( leq @ ( sk_ @ X0 ) @ n5 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl120,zip_derived_cl3]) ).
thf(zip_derived_cl257,plain,
( ( zip_tseitin_3 @ sk__1 )
<= ~ ( leq @ ( sk_ @ sk__1 ) @ n5 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl254,zip_derived_cl142]) ).
thf(zip_derived_cl90_022,plain,
( ~ ( zip_tseitin_3 @ sk__1 )
<= ~ ( zip_tseitin_3 @ sk__1 ) ),
inference(split,[status(esa)],[zip_derived_cl48]) ).
thf('9',plain,
( ( leq @ ( sk_ @ sk__1 ) @ n5 )
| ( zip_tseitin_3 @ sk__1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl257,zip_derived_cl90]) ).
thf(zip_derived_cl60,plain,
! [X8: $i,X9: $i] :
( ~ ( leq @ X8 @ n2 )
| ~ ( leq @ n0 @ X8 )
| ~ ( leq @ n0 @ X9 )
| ~ ( leq @ X9 @ n2 )
| ( ( a_select3 @ r_ds1_filter_init @ X8 @ X9 )
= init ) ),
inference(cnf,[status(esa)],[zf_stmt_41]) ).
thf(zip_derived_cl34,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_14 @ X0 @ X1 )
| ( ( a_select3 @ r_ds1_filter_init @ X1 @ X0 )
!= init ) ),
inference(cnf,[status(esa)],[zf_stmt_11]) ).
thf(zip_derived_cl85,plain,
( ~ ( zip_tseitin_14 @ sk__11 @ sk__10 )
<= ~ ( zip_tseitin_14 @ sk__11 @ sk__10 ) ),
inference(split,[status(esa)],[zip_derived_cl48]) ).
thf(zip_derived_cl177,plain,
( ( ( a_select3 @ r_ds1_filter_init @ sk__10 @ sk__11 )
!= init )
<= ~ ( zip_tseitin_14 @ sk__11 @ sk__10 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl34,zip_derived_cl85]) ).
thf(zip_derived_cl260,plain,
( ( ~ ( leq @ sk__11 @ n2 )
| ~ ( leq @ n0 @ sk__11 )
| ~ ( leq @ n0 @ sk__10 )
| ~ ( leq @ sk__10 @ n2 )
| ( init != init ) )
<= ~ ( zip_tseitin_14 @ sk__11 @ sk__10 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl60,zip_derived_cl177]) ).
thf(zip_derived_cl35,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_14 @ X0 @ X1 )
| ( zip_tseitin_13 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_11]) ).
thf(zip_derived_cl85_023,plain,
( ~ ( zip_tseitin_14 @ sk__11 @ sk__10 )
<= ~ ( zip_tseitin_14 @ sk__11 @ sk__10 ) ),
inference(split,[status(esa)],[zip_derived_cl48]) ).
thf(zip_derived_cl187,plain,
( ( zip_tseitin_13 @ sk__11 @ sk__10 )
<= ~ ( zip_tseitin_14 @ sk__11 @ sk__10 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl35,zip_derived_cl85]) ).
thf(zip_derived_cl33,plain,
! [X0: $i,X1: $i] :
( ( leq @ X0 @ n2 )
| ~ ( zip_tseitin_13 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_13]) ).
thf(zip_derived_cl200,plain,
( ( leq @ sk__11 @ n2 )
<= ~ ( zip_tseitin_14 @ sk__11 @ sk__10 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl187,zip_derived_cl33]) ).
thf(zip_derived_cl187_024,plain,
( ( zip_tseitin_13 @ sk__11 @ sk__10 )
<= ~ ( zip_tseitin_14 @ sk__11 @ sk__10 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl35,zip_derived_cl85]) ).
thf(zip_derived_cl31,plain,
! [X0: $i,X1: $i] :
( ( leq @ n0 @ X0 )
| ~ ( zip_tseitin_13 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_13]) ).
thf(zip_derived_cl199,plain,
( ( leq @ n0 @ sk__11 )
<= ~ ( zip_tseitin_14 @ sk__11 @ sk__10 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl187,zip_derived_cl31]) ).
thf(zip_derived_cl187_025,plain,
( ( zip_tseitin_13 @ sk__11 @ sk__10 )
<= ~ ( zip_tseitin_14 @ sk__11 @ sk__10 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl35,zip_derived_cl85]) ).
thf(zip_derived_cl30,plain,
! [X0: $i,X1: $i] :
( ( leq @ n0 @ X0 )
| ~ ( zip_tseitin_13 @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_13]) ).
thf(zip_derived_cl197,plain,
( ( leq @ n0 @ sk__10 )
<= ~ ( zip_tseitin_14 @ sk__11 @ sk__10 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl187,zip_derived_cl30]) ).
thf(zip_derived_cl187_026,plain,
( ( zip_tseitin_13 @ sk__11 @ sk__10 )
<= ~ ( zip_tseitin_14 @ sk__11 @ sk__10 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl35,zip_derived_cl85]) ).
thf(zip_derived_cl32,plain,
! [X0: $i,X1: $i] :
( ( leq @ X0 @ n2 )
| ~ ( zip_tseitin_13 @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_13]) ).
thf(zip_derived_cl198,plain,
( ( leq @ sk__10 @ n2 )
<= ~ ( zip_tseitin_14 @ sk__11 @ sk__10 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl187,zip_derived_cl32]) ).
thf(zip_derived_cl261,plain,
( ( init != init )
<= ~ ( zip_tseitin_14 @ sk__11 @ sk__10 ) ),
inference(demod,[status(thm)],[zip_derived_cl260,zip_derived_cl200,zip_derived_cl199,zip_derived_cl197,zip_derived_cl198]) ).
thf('10',plain,
zip_tseitin_14 @ sk__11 @ sk__10,
inference(simplify,[status(thm)],[zip_derived_cl261]) ).
thf(zip_derived_cl59,plain,
! [X6: $i,X7: $i] :
( ~ ( leq @ X6 @ n5 )
| ~ ( leq @ n0 @ X6 )
| ~ ( leq @ n0 @ X7 )
| ~ ( leq @ X7 @ n5 )
| ( ( a_select3 @ q_ds1_filter_init @ X6 @ X7 )
= init ) ),
inference(cnf,[status(esa)],[zf_stmt_41]) ).
thf(zip_derived_cl36,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_15 @ X0 @ X1 )
| ( ( a_select3 @ q_ds1_filter_init @ X1 @ X0 )
!= init ) ),
inference(cnf,[status(esa)],[zf_stmt_9]) ).
thf(zip_derived_cl84,plain,
( ~ ( zip_tseitin_15 @ sk__13 @ sk__12 )
<= ~ ( zip_tseitin_15 @ sk__13 @ sk__12 ) ),
inference(split,[status(esa)],[zip_derived_cl48]) ).
thf(zip_derived_cl185,plain,
( ( ( a_select3 @ q_ds1_filter_init @ sk__12 @ sk__13 )
!= init )
<= ~ ( zip_tseitin_15 @ sk__13 @ sk__12 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl36,zip_derived_cl84]) ).
thf(zip_derived_cl244,plain,
( ( ~ ( leq @ sk__13 @ n5 )
| ~ ( leq @ n0 @ sk__13 )
| ~ ( leq @ n0 @ sk__12 )
| ~ ( leq @ sk__12 @ n5 )
| ( init != init ) )
<= ~ ( zip_tseitin_15 @ sk__13 @ sk__12 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl59,zip_derived_cl185]) ).
thf(zip_derived_cl37,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_15 @ X0 @ X1 )
| ( zip_tseitin_4 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_9]) ).
thf(zip_derived_cl84_027,plain,
( ~ ( zip_tseitin_15 @ sk__13 @ sk__12 )
<= ~ ( zip_tseitin_15 @ sk__13 @ sk__12 ) ),
inference(split,[status(esa)],[zip_derived_cl48]) ).
thf(zip_derived_cl195,plain,
( ( zip_tseitin_4 @ sk__13 @ sk__12 )
<= ~ ( zip_tseitin_15 @ sk__13 @ sk__12 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl37,zip_derived_cl84]) ).
thf(zip_derived_cl11_028,plain,
! [X0: $i,X1: $i] :
( ( leq @ X0 @ n5 )
| ~ ( zip_tseitin_4 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_31]) ).
thf(zip_derived_cl204,plain,
( ( leq @ sk__13 @ n5 )
<= ~ ( zip_tseitin_15 @ sk__13 @ sk__12 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl195,zip_derived_cl11]) ).
thf(zip_derived_cl195_029,plain,
( ( zip_tseitin_4 @ sk__13 @ sk__12 )
<= ~ ( zip_tseitin_15 @ sk__13 @ sk__12 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl37,zip_derived_cl84]) ).
thf(zip_derived_cl9_030,plain,
! [X0: $i,X1: $i] :
( ( leq @ n0 @ X0 )
| ~ ( zip_tseitin_4 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_31]) ).
thf(zip_derived_cl203,plain,
( ( leq @ n0 @ sk__13 )
<= ~ ( zip_tseitin_15 @ sk__13 @ sk__12 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl195,zip_derived_cl9]) ).
thf(zip_derived_cl195_031,plain,
( ( zip_tseitin_4 @ sk__13 @ sk__12 )
<= ~ ( zip_tseitin_15 @ sk__13 @ sk__12 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl37,zip_derived_cl84]) ).
thf(zip_derived_cl8_032,plain,
! [X0: $i,X1: $i] :
( ( leq @ n0 @ X0 )
| ~ ( zip_tseitin_4 @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_31]) ).
thf(zip_derived_cl201,plain,
( ( leq @ n0 @ sk__12 )
<= ~ ( zip_tseitin_15 @ sk__13 @ sk__12 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl195,zip_derived_cl8]) ).
thf(zip_derived_cl195_033,plain,
( ( zip_tseitin_4 @ sk__13 @ sk__12 )
<= ~ ( zip_tseitin_15 @ sk__13 @ sk__12 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl37,zip_derived_cl84]) ).
thf(zip_derived_cl10_034,plain,
! [X0: $i,X1: $i] :
( ( leq @ X0 @ n5 )
| ~ ( zip_tseitin_4 @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_31]) ).
thf(zip_derived_cl202,plain,
( ( leq @ sk__12 @ n5 )
<= ~ ( zip_tseitin_15 @ sk__13 @ sk__12 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl195,zip_derived_cl10]) ).
thf(zip_derived_cl245,plain,
( ( init != init )
<= ~ ( zip_tseitin_15 @ sk__13 @ sk__12 ) ),
inference(demod,[status(thm)],[zip_derived_cl244,zip_derived_cl204,zip_derived_cl203,zip_derived_cl201,zip_derived_cl202]) ).
thf('11',plain,
zip_tseitin_15 @ sk__13 @ sk__12,
inference(simplify,[status(thm)],[zip_derived_cl245]) ).
thf(zip_derived_cl58,plain,
! [X4: $i,X5: $i] :
( ~ ( leq @ X4 @ n5 )
| ~ ( leq @ n0 @ X4 )
| ~ ( leq @ n0 @ X5 )
| ~ ( leq @ X5 @ n0 )
| ( ( a_select3 @ dv_ds1_filter_init @ X4 @ X5 )
= init ) ),
inference(cnf,[status(esa)],[zf_stmt_41]) ).
thf(zip_derived_cl38,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_16 @ X0 @ X1 )
| ( ( a_select3 @ dv_ds1_filter_init @ X1 @ X0 )
!= init ) ),
inference(cnf,[status(esa)],[zf_stmt_7]) ).
thf(zip_derived_cl83,plain,
( ~ ( zip_tseitin_16 @ sk__15 @ sk__14 )
<= ~ ( zip_tseitin_16 @ sk__15 @ sk__14 ) ),
inference(split,[status(esa)],[zip_derived_cl48]) ).
thf(zip_derived_cl193,plain,
( ( ( a_select3 @ dv_ds1_filter_init @ sk__14 @ sk__15 )
!= init )
<= ~ ( zip_tseitin_16 @ sk__15 @ sk__14 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl38,zip_derived_cl83]) ).
thf(zip_derived_cl237,plain,
( ( ~ ( leq @ sk__15 @ n0 )
| ~ ( leq @ n0 @ sk__15 )
| ~ ( leq @ n0 @ sk__14 )
| ~ ( leq @ sk__14 @ n5 )
| ( init != init ) )
<= ~ ( zip_tseitin_16 @ sk__15 @ sk__14 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl58,zip_derived_cl193]) ).
thf(zip_derived_cl39,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_16 @ X0 @ X1 )
| ( zip_tseitin_11 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_7]) ).
thf(zip_derived_cl83_035,plain,
( ~ ( zip_tseitin_16 @ sk__15 @ sk__14 )
<= ~ ( zip_tseitin_16 @ sk__15 @ sk__14 ) ),
inference(split,[status(esa)],[zip_derived_cl48]) ).
thf(zip_derived_cl207,plain,
( ( zip_tseitin_11 @ sk__15 @ sk__14 )
<= ~ ( zip_tseitin_16 @ sk__15 @ sk__14 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl39,zip_derived_cl83]) ).
thf(zip_derived_cl27_036,plain,
! [X0: $i,X1: $i] :
( ( leq @ X0 @ n0 )
| ~ ( zip_tseitin_11 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_17]) ).
thf(zip_derived_cl216,plain,
( ( leq @ sk__15 @ n0 )
<= ~ ( zip_tseitin_16 @ sk__15 @ sk__14 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl207,zip_derived_cl27]) ).
thf(zip_derived_cl207_037,plain,
( ( zip_tseitin_11 @ sk__15 @ sk__14 )
<= ~ ( zip_tseitin_16 @ sk__15 @ sk__14 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl39,zip_derived_cl83]) ).
thf(zip_derived_cl25_038,plain,
! [X0: $i,X1: $i] :
( ( leq @ n0 @ X0 )
| ~ ( zip_tseitin_11 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_17]) ).
thf(zip_derived_cl215,plain,
( ( leq @ n0 @ sk__15 )
<= ~ ( zip_tseitin_16 @ sk__15 @ sk__14 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl207,zip_derived_cl25]) ).
thf(zip_derived_cl207_039,plain,
( ( zip_tseitin_11 @ sk__15 @ sk__14 )
<= ~ ( zip_tseitin_16 @ sk__15 @ sk__14 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl39,zip_derived_cl83]) ).
thf(zip_derived_cl24_040,plain,
! [X0: $i,X1: $i] :
( ( leq @ n0 @ X0 )
| ~ ( zip_tseitin_11 @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_17]) ).
thf(zip_derived_cl213,plain,
( ( leq @ n0 @ sk__14 )
<= ~ ( zip_tseitin_16 @ sk__15 @ sk__14 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl207,zip_derived_cl24]) ).
thf(zip_derived_cl207_041,plain,
( ( zip_tseitin_11 @ sk__15 @ sk__14 )
<= ~ ( zip_tseitin_16 @ sk__15 @ sk__14 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl39,zip_derived_cl83]) ).
thf(zip_derived_cl26_042,plain,
! [X0: $i,X1: $i] :
( ( leq @ X0 @ n5 )
| ~ ( zip_tseitin_11 @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_17]) ).
thf(zip_derived_cl214,plain,
( ( leq @ sk__14 @ n5 )
<= ~ ( zip_tseitin_16 @ sk__15 @ sk__14 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl207,zip_derived_cl26]) ).
thf(zip_derived_cl238,plain,
( ( init != init )
<= ~ ( zip_tseitin_16 @ sk__15 @ sk__14 ) ),
inference(demod,[status(thm)],[zip_derived_cl237,zip_derived_cl216,zip_derived_cl215,zip_derived_cl213,zip_derived_cl214]) ).
thf('12',plain,
zip_tseitin_16 @ sk__15 @ sk__14,
inference(simplify,[status(thm)],[zip_derived_cl238]) ).
thf(zip_derived_cl57,plain,
! [X2: $i,X3: $i] :
( ~ ( leq @ X2 @ n5 )
| ~ ( leq @ n0 @ X2 )
| ~ ( leq @ n0 @ X3 )
| ~ ( leq @ X3 @ n5 )
| ( ( a_select3 @ phi_ds1_filter_init @ X2 @ X3 )
= init ) ),
inference(cnf,[status(esa)],[zf_stmt_41]) ).
thf(zip_derived_cl40,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_17 @ X0 @ X1 )
| ( ( a_select3 @ phi_ds1_filter_init @ X1 @ X0 )
!= init ) ),
inference(cnf,[status(esa)],[zf_stmt_5]) ).
thf(zip_derived_cl82,plain,
( ~ ( zip_tseitin_17 @ sk__17 @ sk__16 )
<= ~ ( zip_tseitin_17 @ sk__17 @ sk__16 ) ),
inference(split,[status(esa)],[zip_derived_cl48]) ).
thf(zip_derived_cl205,plain,
( ( ( a_select3 @ phi_ds1_filter_init @ sk__16 @ sk__17 )
!= init )
<= ~ ( zip_tseitin_17 @ sk__17 @ sk__16 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl40,zip_derived_cl82]) ).
thf(zip_derived_cl229,plain,
( ( ~ ( leq @ sk__17 @ n5 )
| ~ ( leq @ n0 @ sk__17 )
| ~ ( leq @ n0 @ sk__16 )
| ~ ( leq @ sk__16 @ n5 )
| ( init != init ) )
<= ~ ( zip_tseitin_17 @ sk__17 @ sk__16 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl57,zip_derived_cl205]) ).
thf(zip_derived_cl41,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_17 @ X0 @ X1 )
| ( zip_tseitin_4 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_5]) ).
thf(zip_derived_cl82_043,plain,
( ~ ( zip_tseitin_17 @ sk__17 @ sk__16 )
<= ~ ( zip_tseitin_17 @ sk__17 @ sk__16 ) ),
inference(split,[status(esa)],[zip_derived_cl48]) ).
thf(zip_derived_cl211,plain,
( ( zip_tseitin_4 @ sk__17 @ sk__16 )
<= ~ ( zip_tseitin_17 @ sk__17 @ sk__16 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl41,zip_derived_cl82]) ).
thf(zip_derived_cl8_044,plain,
! [X0: $i,X1: $i] :
( ( leq @ n0 @ X0 )
| ~ ( zip_tseitin_4 @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_31]) ).
thf(zip_derived_cl217,plain,
( ( leq @ n0 @ sk__16 )
<= ~ ( zip_tseitin_17 @ sk__17 @ sk__16 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl211,zip_derived_cl8]) ).
thf(zip_derived_cl211_045,plain,
( ( zip_tseitin_4 @ sk__17 @ sk__16 )
<= ~ ( zip_tseitin_17 @ sk__17 @ sk__16 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl41,zip_derived_cl82]) ).
thf(zip_derived_cl10_046,plain,
! [X0: $i,X1: $i] :
( ( leq @ X0 @ n5 )
| ~ ( zip_tseitin_4 @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_31]) ).
thf(zip_derived_cl218,plain,
( ( leq @ sk__16 @ n5 )
<= ~ ( zip_tseitin_17 @ sk__17 @ sk__16 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl211,zip_derived_cl10]) ).
thf(zip_derived_cl230,plain,
( ( ~ ( leq @ sk__17 @ n5 )
| ~ ( leq @ n0 @ sk__17 )
| ( init != init ) )
<= ~ ( zip_tseitin_17 @ sk__17 @ sk__16 ) ),
inference(demod,[status(thm)],[zip_derived_cl229,zip_derived_cl217,zip_derived_cl218]) ).
thf(zip_derived_cl231,plain,
( ( ~ ( leq @ n0 @ sk__17 )
| ~ ( leq @ sk__17 @ n5 ) )
<= ~ ( zip_tseitin_17 @ sk__17 @ sk__16 ) ),
inference(simplify,[status(thm)],[zip_derived_cl230]) ).
thf(zip_derived_cl211_047,plain,
( ( zip_tseitin_4 @ sk__17 @ sk__16 )
<= ~ ( zip_tseitin_17 @ sk__17 @ sk__16 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl41,zip_derived_cl82]) ).
thf(zip_derived_cl9_048,plain,
! [X0: $i,X1: $i] :
( ( leq @ n0 @ X0 )
| ~ ( zip_tseitin_4 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_31]) ).
thf(zip_derived_cl219,plain,
( ( leq @ n0 @ sk__17 )
<= ~ ( zip_tseitin_17 @ sk__17 @ sk__16 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl211,zip_derived_cl9]) ).
thf(zip_derived_cl211_049,plain,
( ( zip_tseitin_4 @ sk__17 @ sk__16 )
<= ~ ( zip_tseitin_17 @ sk__17 @ sk__16 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl41,zip_derived_cl82]) ).
thf(zip_derived_cl11_050,plain,
! [X0: $i,X1: $i] :
( ( leq @ X0 @ n5 )
| ~ ( zip_tseitin_4 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_31]) ).
thf(zip_derived_cl220,plain,
( ( leq @ sk__17 @ n5 )
<= ~ ( zip_tseitin_17 @ sk__17 @ sk__16 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl211,zip_derived_cl11]) ).
thf('13',plain,
zip_tseitin_17 @ sk__17 @ sk__16,
inference(demod,[status(thm)],[zip_derived_cl231,zip_derived_cl219,zip_derived_cl220]) ).
thf(zip_derived_cl70,plain,
leq @ sk__21 @ n5,
inference(cnf,[status(esa)],[zf_stmt_41]) ).
thf(zip_derived_cl74,plain,
( ! [X0: $i,X1: $i] :
( ~ ( leq @ n0 @ X0 )
| ~ ( leq @ X0 @ n5 )
| ( X1 != pv63 )
| ( ( a_select3 @ id_ds1_filter_init @ X1 @ X0 )
= init )
| ( pv64 = X0 )
| ~ ( leq @ X0 @ pv64 )
| ~ ( leq @ n0 @ X1 )
| ~ ( leq @ X1 @ n5 ) )
<= ! [X0: $i,X1: $i] :
( ~ ( leq @ n0 @ X0 )
| ~ ( leq @ X0 @ n5 )
| ( X1 != pv63 )
| ( ( a_select3 @ id_ds1_filter_init @ X1 @ X0 )
= init )
| ( pv64 = X0 )
| ~ ( leq @ X0 @ pv64 )
| ~ ( leq @ n0 @ X1 )
| ~ ( leq @ X1 @ n5 ) ) ),
inference(split,[status(esa)],[zip_derived_cl48]) ).
thf(zip_derived_cl71,plain,
( ( a_select3 @ id_ds1_filter_init @ sk__20 @ sk__21 )
!= init ),
inference(cnf,[status(esa)],[zf_stmt_41]) ).
thf(zip_derived_cl66,plain,
sk__20 = pv63,
inference(cnf,[status(esa)],[zf_stmt_41]) ).
thf(zip_derived_cl93,plain,
( ( a_select3 @ id_ds1_filter_init @ pv63 @ sk__21 )
!= init ),
inference(demod,[status(thm)],[zip_derived_cl71,zip_derived_cl66]) ).
thf(zip_derived_cl96,plain,
( ( ~ ( leq @ pv63 @ n5 )
| ~ ( leq @ n0 @ pv63 )
| ~ ( leq @ sk__21 @ pv64 )
| ( pv64 = sk__21 )
| ( pv63 != pv63 )
| ~ ( leq @ sk__21 @ n5 )
| ~ ( leq @ n0 @ sk__21 )
| ( init != init ) )
<= ! [X0: $i,X1: $i] :
( ~ ( leq @ n0 @ X0 )
| ~ ( leq @ X0 @ n5 )
| ( X1 != pv63 )
| ( ( a_select3 @ id_ds1_filter_init @ X1 @ X0 )
= init )
| ( pv64 = X0 )
| ~ ( leq @ X0 @ pv64 )
| ~ ( leq @ n0 @ X1 )
| ~ ( leq @ X1 @ n5 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl74,zip_derived_cl93]) ).
thf(zip_derived_cl97,plain,
( ( ~ ( leq @ n0 @ sk__21 )
| ~ ( leq @ sk__21 @ n5 )
| ( pv64 = sk__21 )
| ~ ( leq @ sk__21 @ pv64 )
| ~ ( leq @ n0 @ pv63 )
| ~ ( leq @ pv63 @ n5 ) )
<= ! [X0: $i,X1: $i] :
( ~ ( leq @ n0 @ X0 )
| ~ ( leq @ X0 @ n5 )
| ( X1 != pv63 )
| ( ( a_select3 @ id_ds1_filter_init @ X1 @ X0 )
= init )
| ( pv64 = X0 )
| ~ ( leq @ X0 @ pv64 )
| ~ ( leq @ n0 @ X1 )
| ~ ( leq @ X1 @ n5 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl96]) ).
thf(zip_derived_cl73,plain,
pv64 != sk__21,
inference(cnf,[status(esa)],[zf_stmt_41]) ).
thf(zip_derived_cl98,plain,
( ( ~ ( leq @ n0 @ sk__21 )
| ~ ( leq @ sk__21 @ n5 )
| ~ ( leq @ sk__21 @ pv64 )
| ~ ( leq @ n0 @ pv63 )
| ~ ( leq @ pv63 @ n5 ) )
<= ! [X0: $i,X1: $i] :
( ~ ( leq @ n0 @ X0 )
| ~ ( leq @ X0 @ n5 )
| ( X1 != pv63 )
| ( ( a_select3 @ id_ds1_filter_init @ X1 @ X0 )
= init )
| ( pv64 = X0 )
| ~ ( leq @ X0 @ pv64 )
| ~ ( leq @ n0 @ X1 )
| ~ ( leq @ X1 @ n5 ) ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl97,zip_derived_cl73]) ).
thf(zip_derived_cl100,plain,
( ~ ( leq @ sk__21 @ n5 )
<= ~ ( leq @ sk__21 @ n5 ) ),
inference(split,[status(esa)],[zip_derived_cl98]) ).
thf('14',plain,
leq @ sk__21 @ n5,
inference('s_sup-',[status(thm)],[zip_derived_cl70,zip_derived_cl100]) ).
thf(zip_derived_cl69,plain,
leq @ n0 @ sk__21,
inference(cnf,[status(esa)],[zf_stmt_41]) ).
thf(zip_derived_cl101,plain,
( ~ ( leq @ n0 @ sk__21 )
<= ~ ( leq @ n0 @ sk__21 ) ),
inference(split,[status(esa)],[zip_derived_cl98]) ).
thf('15',plain,
leq @ n0 @ sk__21,
inference('s_sup-',[status(thm)],[zip_derived_cl69,zip_derived_cl101]) ).
thf(zip_derived_cl72,plain,
leq @ sk__21 @ pv64,
inference(cnf,[status(esa)],[zf_stmt_41]) ).
thf(zip_derived_cl99,plain,
( ~ ( leq @ sk__21 @ pv64 )
<= ~ ( leq @ sk__21 @ pv64 ) ),
inference(split,[status(esa)],[zip_derived_cl98]) ).
thf('16',plain,
leq @ sk__21 @ pv64,
inference('s_sup-',[status(thm)],[zip_derived_cl72,zip_derived_cl99]) ).
thf('17',plain,
( ~ ! [X0: $i,X1: $i] :
( ~ ( leq @ n0 @ X0 )
| ~ ( leq @ X0 @ n5 )
| ( X1 != pv63 )
| ( ( a_select3 @ id_ds1_filter_init @ X1 @ X0 )
= init )
| ( pv64 = X0 )
| ~ ( leq @ X0 @ pv64 )
| ~ ( leq @ n0 @ X1 )
| ~ ( leq @ X1 @ n5 ) )
| ~ ( leq @ sk__21 @ pv64 )
| ~ ( leq @ pv63 @ n5 )
| ~ ( leq @ n0 @ sk__21 )
| ~ ( leq @ sk__21 @ n5 )
| ~ ( leq @ n0 @ pv63 ) ),
inference(split,[status(esa)],[zip_derived_cl98]) ).
thf(zip_derived_cl54_051,plain,
leq @ pv63 @ n5,
inference(cnf,[status(esa)],[zf_stmt_41]) ).
thf(zip_derived_cl79,plain,
( ~ ( leq @ pv63 @ n5 )
<= ~ ( leq @ pv63 @ n5 ) ),
inference(split,[status(esa)],[zip_derived_cl48]) ).
thf('18',plain,
leq @ pv63 @ n5,
inference('s_sup-',[status(thm)],[zip_derived_cl54,zip_derived_cl79]) ).
thf(zip_derived_cl52,plain,
leq @ n0 @ pv64,
inference(cnf,[status(esa)],[zf_stmt_41]) ).
thf(zip_derived_cl77,plain,
( ~ ( leq @ n0 @ pv64 )
<= ~ ( leq @ n0 @ pv64 ) ),
inference(split,[status(esa)],[zip_derived_cl48]) ).
thf('19',plain,
leq @ n0 @ pv64,
inference('s_sup-',[status(thm)],[zip_derived_cl52,zip_derived_cl77]) ).
thf(zip_derived_cl51_052,plain,
leq @ n0 @ pv63,
inference(cnf,[status(esa)],[zf_stmt_41]) ).
thf(zip_derived_cl76,plain,
( ~ ( leq @ n0 @ pv63 )
<= ~ ( leq @ n0 @ pv63 ) ),
inference(split,[status(esa)],[zip_derived_cl48]) ).
thf('20',plain,
leq @ n0 @ pv63,
inference('s_sup-',[status(thm)],[zip_derived_cl51,zip_derived_cl76]) ).
thf(zip_derived_cl50,plain,
leq @ n0 @ pv5,
inference(cnf,[status(esa)],[zf_stmt_41]) ).
thf(zip_derived_cl75,plain,
( ~ ( leq @ n0 @ pv5 )
<= ~ ( leq @ n0 @ pv5 ) ),
inference(split,[status(esa)],[zip_derived_cl48]) ).
thf('21',plain,
leq @ n0 @ pv5,
inference('s_sup-',[status(thm)],[zip_derived_cl50,zip_derived_cl75]) ).
thf(zip_derived_cl14,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_6 @ X0 @ X1 )
| ~ ( zip_tseitin_5 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_27]) ).
thf(zip_derived_cl89,plain,
( ~ ( zip_tseitin_6 @ sk__3 @ sk__2 )
<= ~ ( zip_tseitin_6 @ sk__3 @ sk__2 ) ),
inference(split,[status(esa)],[zip_derived_cl48]) ).
thf(zip_derived_cl129,plain,
( ~ ( zip_tseitin_5 @ sk__3 @ sk__2 )
<= ~ ( zip_tseitin_6 @ sk__3 @ sk__2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl14,zip_derived_cl89]) ).
thf(zip_derived_cl13,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_5 @ X0 @ X1 )
| ( gt @ pv63 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_29]) ).
thf(zip_derived_cl132,plain,
( ( gt @ pv63 @ sk__2 )
<= ~ ( zip_tseitin_6 @ sk__3 @ sk__2 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl129,zip_derived_cl13]) ).
thf(zip_derived_cl64,plain,
! [X16: $i,X17: $i] :
( ~ ( gt @ pv63 @ X16 )
| ~ ( leq @ X16 @ n5 )
| ~ ( leq @ n0 @ X16 )
| ~ ( leq @ n0 @ X17 )
| ~ ( leq @ X17 @ n5 )
| ( ( a_select3 @ id_ds1_filter_init @ X16 @ X17 )
= init ) ),
inference(cnf,[status(esa)],[zf_stmt_41]) ).
thf(zip_derived_cl275,plain,
( ! [X0: $i] :
( ~ ( leq @ sk__2 @ n5 )
| ~ ( leq @ n0 @ sk__2 )
| ~ ( leq @ n0 @ X0 )
| ~ ( leq @ X0 @ n5 )
| ( ( a_select3 @ id_ds1_filter_init @ sk__2 @ X0 )
= init ) )
<= ~ ( zip_tseitin_6 @ sk__3 @ sk__2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl132,zip_derived_cl64]) ).
thf(zip_derived_cl15,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_6 @ X0 @ X1 )
| ( zip_tseitin_4 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_27]) ).
thf(zip_derived_cl89_053,plain,
( ~ ( zip_tseitin_6 @ sk__3 @ sk__2 )
<= ~ ( zip_tseitin_6 @ sk__3 @ sk__2 ) ),
inference(split,[status(esa)],[zip_derived_cl48]) ).
thf(zip_derived_cl135,plain,
( ( zip_tseitin_4 @ sk__3 @ sk__2 )
<= ~ ( zip_tseitin_6 @ sk__3 @ sk__2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl15,zip_derived_cl89]) ).
thf(zip_derived_cl10_054,plain,
! [X0: $i,X1: $i] :
( ( leq @ X0 @ n5 )
| ~ ( zip_tseitin_4 @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_31]) ).
thf(zip_derived_cl138,plain,
( ( leq @ sk__2 @ n5 )
<= ~ ( zip_tseitin_6 @ sk__3 @ sk__2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl135,zip_derived_cl10]) ).
thf(zip_derived_cl135_055,plain,
( ( zip_tseitin_4 @ sk__3 @ sk__2 )
<= ~ ( zip_tseitin_6 @ sk__3 @ sk__2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl15,zip_derived_cl89]) ).
thf(zip_derived_cl8_056,plain,
! [X0: $i,X1: $i] :
( ( leq @ n0 @ X0 )
| ~ ( zip_tseitin_4 @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_31]) ).
thf(zip_derived_cl137,plain,
( ( leq @ n0 @ sk__2 )
<= ~ ( zip_tseitin_6 @ sk__3 @ sk__2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl135,zip_derived_cl8]) ).
thf(zip_derived_cl276,plain,
( ! [X0: $i] :
( ~ ( leq @ n0 @ X0 )
| ~ ( leq @ X0 @ n5 )
| ( ( a_select3 @ id_ds1_filter_init @ sk__2 @ X0 )
= init ) )
<= ~ ( zip_tseitin_6 @ sk__3 @ sk__2 ) ),
inference(demod,[status(thm)],[zip_derived_cl275,zip_derived_cl138,zip_derived_cl137]) ).
thf(zip_derived_cl129_057,plain,
( ~ ( zip_tseitin_5 @ sk__3 @ sk__2 )
<= ~ ( zip_tseitin_6 @ sk__3 @ sk__2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl14,zip_derived_cl89]) ).
thf(zip_derived_cl12,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_5 @ X0 @ X1 )
| ( ( a_select3 @ id_ds1_filter_init @ X1 @ X0 )
!= init ) ),
inference(cnf,[status(esa)],[zf_stmt_29]) ).
thf(zip_derived_cl131,plain,
( ( ( a_select3 @ id_ds1_filter_init @ sk__2 @ sk__3 )
!= init )
<= ~ ( zip_tseitin_6 @ sk__3 @ sk__2 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl129,zip_derived_cl12]) ).
thf(zip_derived_cl278,plain,
( ( ~ ( leq @ sk__3 @ n5 )
| ~ ( leq @ n0 @ sk__3 )
| ( init != init ) )
<= ~ ( zip_tseitin_6 @ sk__3 @ sk__2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl276,zip_derived_cl131]) ).
thf(zip_derived_cl135_058,plain,
( ( zip_tseitin_4 @ sk__3 @ sk__2 )
<= ~ ( zip_tseitin_6 @ sk__3 @ sk__2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl15,zip_derived_cl89]) ).
thf(zip_derived_cl11_059,plain,
! [X0: $i,X1: $i] :
( ( leq @ X0 @ n5 )
| ~ ( zip_tseitin_4 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_31]) ).
thf(zip_derived_cl140,plain,
( ( leq @ sk__3 @ n5 )
<= ~ ( zip_tseitin_6 @ sk__3 @ sk__2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl135,zip_derived_cl11]) ).
thf(zip_derived_cl135_060,plain,
( ( zip_tseitin_4 @ sk__3 @ sk__2 )
<= ~ ( zip_tseitin_6 @ sk__3 @ sk__2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl15,zip_derived_cl89]) ).
thf(zip_derived_cl9_061,plain,
! [X0: $i,X1: $i] :
( ( leq @ n0 @ X0 )
| ~ ( zip_tseitin_4 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_31]) ).
thf(zip_derived_cl139,plain,
( ( leq @ n0 @ sk__3 )
<= ~ ( zip_tseitin_6 @ sk__3 @ sk__2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl135,zip_derived_cl9]) ).
thf(zip_derived_cl280,plain,
( ( init != init )
<= ~ ( zip_tseitin_6 @ sk__3 @ sk__2 ) ),
inference(demod,[status(thm)],[zip_derived_cl278,zip_derived_cl140,zip_derived_cl139]) ).
thf('22',plain,
zip_tseitin_6 @ sk__3 @ sk__2,
inference(simplify,[status(thm)],[zip_derived_cl280]) ).
thf('23',plain,
( ~ ( zip_tseitin_19 @ sk__19 @ sk__18 )
| ~ ( zip_tseitin_6 @ sk__3 @ sk__2 )
| ~ ( leq @ n0 @ pv5 )
| ~ ( leq @ n0 @ pv63 )
| ~ ( leq @ n0 @ pv64 )
| ~ ( leq @ pv63 @ n5 )
| ! [X0: $i,X1: $i] :
( ~ ( leq @ n0 @ X0 )
| ~ ( leq @ X0 @ n5 )
| ( X1 != pv63 )
| ( ( a_select3 @ id_ds1_filter_init @ X1 @ X0 )
= init )
| ( pv64 = X0 )
| ~ ( leq @ X0 @ pv64 )
| ~ ( leq @ n0 @ X1 )
| ~ ( leq @ X1 @ n5 ) )
| ~ ( zip_tseitin_17 @ sk__17 @ sk__16 )
| ~ ( zip_tseitin_16 @ sk__15 @ sk__14 )
| ~ ( zip_tseitin_15 @ sk__13 @ sk__12 )
| ~ ( zip_tseitin_14 @ sk__11 @ sk__10 )
| ~ ( zip_tseitin_3 @ sk__1 )
| ~ ( zip_tseitin_12 @ sk__9 @ sk__8 )
| ~ ( zip_tseitin_10 @ sk__7 @ sk__6 )
| ~ ( zip_tseitin_9 @ sk__5 @ sk__4 )
| ~ ( leq @ pv64 @ n5 )
| ~ ( leq @ pv5 @ n998 )
| ( pv63 = pv64 ) ),
inference(split,[status(esa)],[zip_derived_cl48]) ).
thf(zip_derived_cl221_062,plain,
( ( zip_tseitin_18 @ sk__19 @ sk__18 )
<= ~ ( zip_tseitin_19 @ sk__19 @ sk__18 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl47,zip_derived_cl81]) ).
thf(zip_derived_cl45,plain,
! [X0: $i,X1: $i] :
( ( leq @ X0 @ n5 )
| ~ ( zip_tseitin_18 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(zip_derived_cl236,plain,
( ( leq @ sk__19 @ n5 )
<= ~ ( zip_tseitin_19 @ sk__19 @ sk__18 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl221,zip_derived_cl45]) ).
thf(zip_derived_cl225,plain,
( ~ ( leq @ sk__19 @ n5 )
<= ~ ( leq @ sk__19 @ n5 ) ),
inference(split,[status(esa)],[zip_derived_cl224]) ).
thf('24',plain,
( ( leq @ sk__19 @ n5 )
| ( zip_tseitin_19 @ sk__19 @ sk__18 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl236,zip_derived_cl225]) ).
thf(zip_derived_cl221_063,plain,
( ( zip_tseitin_18 @ sk__19 @ sk__18 )
<= ~ ( zip_tseitin_19 @ sk__19 @ sk__18 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl47,zip_derived_cl81]) ).
thf(zip_derived_cl44,plain,
! [X0: $i,X1: $i] :
( ( leq @ X0 @ n2 )
| ~ ( zip_tseitin_18 @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(zip_derived_cl234,plain,
( ( leq @ sk__18 @ n2 )
<= ~ ( zip_tseitin_19 @ sk__19 @ sk__18 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl221,zip_derived_cl44]) ).
thf(zip_derived_cl228,plain,
( ~ ( leq @ sk__18 @ n2 )
<= ~ ( leq @ sk__18 @ n2 ) ),
inference(split,[status(esa)],[zip_derived_cl224]) ).
thf('25',plain,
( ( leq @ sk__18 @ n2 )
| ( zip_tseitin_19 @ sk__19 @ sk__18 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl234,zip_derived_cl228]) ).
thf(zip_derived_cl221_064,plain,
( ( zip_tseitin_18 @ sk__19 @ sk__18 )
<= ~ ( zip_tseitin_19 @ sk__19 @ sk__18 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl47,zip_derived_cl81]) ).
thf(zip_derived_cl42,plain,
! [X0: $i,X1: $i] :
( ( leq @ n0 @ X0 )
| ~ ( zip_tseitin_18 @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(zip_derived_cl233,plain,
( ( leq @ n0 @ sk__18 )
<= ~ ( zip_tseitin_19 @ sk__19 @ sk__18 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl221,zip_derived_cl42]) ).
thf(zip_derived_cl227,plain,
( ~ ( leq @ n0 @ sk__18 )
<= ~ ( leq @ n0 @ sk__18 ) ),
inference(split,[status(esa)],[zip_derived_cl224]) ).
thf('26',plain,
( ( leq @ n0 @ sk__18 )
| ( zip_tseitin_19 @ sk__19 @ sk__18 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl233,zip_derived_cl227]) ).
thf('27',plain,
( ( zip_tseitin_19 @ sk__19 @ sk__18 )
| ~ ( leq @ n0 @ sk__18 )
| ~ ( leq @ sk__19 @ n5 )
| ~ ( leq @ sk__18 @ n2 )
| ~ ( leq @ n0 @ sk__19 ) ),
inference(split,[status(esa)],[zip_derived_cl224]) ).
thf(zip_derived_cl282,plain,
$false,
inference('sat_resolution*',[status(thm)],['0','1','2','3','4','5','6','7','8','9','10','11','12','13','14','15','16','17','18','19','20','21','22','23','24','25','26','27']) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : MSC010+1 : TPTP v8.1.2. Released v3.1.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.97nse43R4J true
% 0.13/0.34 % Computer : n021.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Thu Aug 24 13:45:55 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.34 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % Running in FO mode
% 0.20/0.63 % Total configuration time : 435
% 0.20/0.63 % Estimated wc time : 1092
% 0.20/0.63 % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.69 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.73 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.20/0.75 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.20/0.75 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.20/0.76 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.20/0.76 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.20/0.76 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 1.45/0.85 % Solved by fo/fo1_av.sh.
% 1.45/0.85 % done 230 iterations in 0.061s
% 1.45/0.85 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.45/0.85 % SZS output start Refutation
% See solution above
% 1.57/0.85
% 1.57/0.85
% 1.57/0.85 % Terminating...
% 1.57/0.93 % Runner terminated.
% 1.57/0.95 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------