TSTP Solution File: SYN723+1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SYN723+1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.ELsjs2nR4y true
% Computer : n025.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 04:05:17 EDT 2023
% Result : Theorem 0.55s 0.82s
% Output : Refutation 0.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 78
% Syntax : Number of formulae : 390 ( 1 unt; 62 typ; 0 def)
% Number of atoms : 848 ( 0 equ; 0 cnn)
% Maximal formula atoms : 16 ( 2 avg)
% Number of connectives : 1980 ( 474 ~; 315 |; 14 &; 986 @)
% ( 45 <=>; 0 =>; 146 <=; 0 <~>)
% Maximal formula depth : 11 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 27 ( 27 >; 0 *; 0 +; 0 <<)
% Number of symbols : 49 ( 48 usr; 34 con; 0-2 aty)
% Number of variables : 515 ( 0 ^; 498 !; 17 ?; 515 :)
% Comments :
%------------------------------------------------------------------------------
thf(sk__16_type,type,
sk__16: $i ).
thf(zip_tseitin_10_type,type,
zip_tseitin_10: $o ).
thf(zip_tseitin_11_type,type,
zip_tseitin_11: $o ).
thf(sk__4_type,type,
sk__4: $i ).
thf(zip_tseitin_4_type,type,
zip_tseitin_4: $o ).
thf(sk__type,type,
sk_: $i ).
thf(sk__8_type,type,
sk__8: $i > $i ).
thf(q_type,type,
q: $i > $o ).
thf(r_type,type,
r: $i > $o ).
thf(zip_tseitin_3_type,type,
zip_tseitin_3: $o ).
thf(sk__25_type,type,
sk__25: $i ).
thf(zip_tseitin_12_type,type,
zip_tseitin_12: $o ).
thf(zip_tseitin_2_type,type,
zip_tseitin_2: $i > $i > $o ).
thf(sk__17_type,type,
sk__17: $i ).
thf(sk__18_type,type,
sk__18: $i ).
thf(p_type,type,
p: $i > $o ).
thf(sk__20_type,type,
sk__20: $i > $i ).
thf(sk__26_type,type,
sk__26: $i ).
thf(zip_tseitin_13_type,type,
zip_tseitin_13: $o ).
thf(sk__1_type,type,
sk__1: $i ).
thf(zip_tseitin_7_type,type,
zip_tseitin_7: $i > $i > $o ).
thf(sk__3_type,type,
sk__3: $i ).
thf(zip_tseitin_9_type,type,
zip_tseitin_9: $o ).
thf(sk__2_type,type,
sk__2: $i ).
thf(sk__13_type,type,
sk__13: $i ).
thf(zip_tseitin_6_type,type,
zip_tseitin_6: $o ).
thf(sk__29_type,type,
sk__29: $i ).
thf(sk__7_type,type,
sk__7: $i ).
thf(sk__15_type,type,
sk__15: $i ).
thf(sk__11_type,type,
sk__11: $i > $i ).
thf(sk__12_type,type,
sk__12: $i ).
thf(zip_tseitin_1_type,type,
zip_tseitin_1: $o ).
thf(sk__23_type,type,
sk__23: $i > $i ).
thf(zip_tseitin_5_type,type,
zip_tseitin_5: $i > $i > $o ).
thf(sk__22_type,type,
sk__22: $i ).
thf(sk__10_type,type,
sk__10: $i ).
thf(sk__21_type,type,
sk__21: $i ).
thf(zip_tseitin_0_type,type,
zip_tseitin_0: $i > $i > $o ).
thf(sk__6_type,type,
sk__6: $i ).
thf(sk__24_type,type,
sk__24: $i > $i ).
thf(sk__14_type,type,
sk__14: $i ).
thf(sk__9_type,type,
sk__9: $i ).
thf(s_type,type,
s: $i > $o ).
thf(sk__19_type,type,
sk__19: $i ).
thf(sk__5_type,type,
sk__5: $i ).
thf(zip_tseitin_8_type,type,
zip_tseitin_8: $o ).
thf(sk__27_type,type,
sk__27: $i > $i ).
thf(sk__28_type,type,
sk__28: $i > $i ).
thf(thm138,conjecture,
( ? [X: $i] :
! [Y: $i] :
( ( p @ X )
<=> ( p @ Y ) )
<=> ( ( ? [X: $i] : ( q @ X )
<=> ! [Y: $i] : ( r @ Y ) )
<=> ( ( ? [X: $i] :
! [Y: $i] :
( ( q @ X )
<=> ( q @ Y ) )
<=> ( ? [X: $i] : ( r @ X )
<=> ! [Y: $i] : ( s @ Y ) ) )
<=> ( ? [X: $i] :
! [Y: $i] :
( ( r @ X )
<=> ( r @ Y ) )
<=> ( ( ? [X: $i] : ( s @ X )
<=> ! [Y: $i] : ( p @ Y ) )
<=> ( ? [X: $i] :
! [Y: $i] :
( ( s @ X )
<=> ( s @ Y ) )
<=> ( ? [X: $i] : ( p @ X )
<=> ! [Y: $i] : ( q @ Y ) ) ) ) ) ) ) ) ).
thf(zf_stmt_0,axiom,
! [Y: $i,X: $i] :
( ( zip_tseitin_5 @ Y @ X )
<=> ( ( r @ X )
<=> ( r @ Y ) ) ) ).
thf(zip_derived_cl23,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_5 @ X0 @ X1 )
| ( r @ X0 )
| ( r @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zf_stmt_1,axiom,
( zip_tseitin_11
<=> ( ? [X: $i] :
! [Y: $i] : ( zip_tseitin_5 @ Y @ X )
<=> zip_tseitin_10 ) ) ).
thf(zip_derived_cl45,plain,
! [X0: $i] :
( ~ ( zip_tseitin_5 @ ( sk__27 @ X0 ) @ X0 )
| zip_tseitin_10
| ~ zip_tseitin_11 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl145,plain,
( ! [X0: $i] :
~ ( zip_tseitin_5 @ ( sk__27 @ X0 ) @ X0 )
<= ! [X0: $i] :
~ ( zip_tseitin_5 @ ( sk__27 @ X0 ) @ X0 ) ),
inference(split,[status(esa)],[zip_derived_cl45]) ).
thf(zip_derived_cl239,plain,
( ! [X0: $i] :
( ( r @ X0 )
| ( r @ ( sk__27 @ X0 ) ) )
<= ! [X0: $i] :
~ ( zip_tseitin_5 @ ( sk__27 @ X0 ) @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl23,zip_derived_cl145]) ).
thf(zf_stmt_2,axiom,
( zip_tseitin_3
<=> ( ? [X: $i] : ( r @ X )
<=> ! [Y: $i] : ( s @ Y ) ) ) ).
thf(zip_derived_cl13,plain,
! [X0: $i,X1: $i] :
( ~ ( r @ X0 )
| ( s @ X1 )
| ~ zip_tseitin_3 ),
inference(cnf,[status(esa)],[zf_stmt_2]) ).
thf(zip_derived_cl74,plain,
( ! [X0: $i] :
~ ( r @ X0 )
<= ! [X0: $i] :
~ ( r @ X0 ) ),
inference(split,[status(esa)],[zip_derived_cl13]) ).
thf(zip_derived_cl409,plain,
( ! [X0: $i] : ( r @ X0 )
<= ( ! [X0: $i] :
~ ( r @ X0 )
& ! [X0: $i] :
~ ( zip_tseitin_5 @ ( sk__27 @ X0 ) @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl239,zip_derived_cl74]) ).
thf(zip_derived_cl74_001,plain,
( ! [X0: $i] :
~ ( r @ X0 )
<= ! [X0: $i] :
~ ( r @ X0 ) ),
inference(split,[status(esa)],[zip_derived_cl13]) ).
thf('0',plain,
( ~ ! [X0: $i] :
~ ( r @ X0 )
| ~ ! [X0: $i] :
~ ( zip_tseitin_5 @ ( sk__27 @ X0 ) @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl409,zip_derived_cl74]) ).
thf(zf_stmt_3,axiom,
( zip_tseitin_4
<=> ( ? [X: $i] :
! [Y: $i] : ( zip_tseitin_2 @ Y @ X )
<=> zip_tseitin_3 ) ) ).
thf(zip_derived_cl19,plain,
! [X0: $i] :
( zip_tseitin_4
| zip_tseitin_3
| ( zip_tseitin_2 @ X0 @ sk__9 ) ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(zip_derived_cl91,plain,
( ! [X0: $i] : ( zip_tseitin_2 @ X0 @ sk__9 )
<= ! [X0: $i] : ( zip_tseitin_2 @ X0 @ sk__9 ) ),
inference(split,[status(esa)],[zip_derived_cl19]) ).
thf(zf_stmt_4,axiom,
! [Y: $i,X: $i] :
( ( zip_tseitin_2 @ Y @ X )
<=> ( ( q @ X )
<=> ( q @ Y ) ) ) ).
thf(zip_derived_cl9,plain,
! [X0: $i,X1: $i] :
( ~ ( q @ X0 )
| ( q @ X1 )
| ~ ( zip_tseitin_2 @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_4]) ).
thf(zip_derived_cl326,plain,
( ! [X0: $i] :
( ~ ( q @ sk__9 )
| ( q @ X0 ) )
<= ! [X0: $i] : ( zip_tseitin_2 @ X0 @ sk__9 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl91,zip_derived_cl9]) ).
thf('1',plain,
( ! [X1: $i] : ( q @ X1 )
| ~ ! [X0: $i] : ( zip_tseitin_2 @ X0 @ sk__9 )
| ~ ( q @ sk__9 ) ),
inference(split,[status(esa)],[zip_derived_cl326]) ).
thf('2',plain,
( ! [X0: $i] : ( zip_tseitin_2 @ X0 @ sk__9 )
| zip_tseitin_3
| zip_tseitin_4 ),
inference(split,[status(esa)],[zip_derived_cl19]) ).
thf(zip_derived_cl16,plain,
! [X0: $i] :
( ~ zip_tseitin_3
| ( zip_tseitin_2 @ X0 @ sk__10 )
| ~ zip_tseitin_4 ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(zip_derived_cl82,plain,
( ! [X0: $i] : ( zip_tseitin_2 @ X0 @ sk__10 )
<= ! [X0: $i] : ( zip_tseitin_2 @ X0 @ sk__10 ) ),
inference(split,[status(esa)],[zip_derived_cl16]) ).
thf(zip_derived_cl17,plain,
! [X0: $i] :
( ~ ( zip_tseitin_2 @ ( sk__11 @ X0 ) @ X0 )
| zip_tseitin_3
| ~ zip_tseitin_4 ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(zip_derived_cl85,plain,
( ! [X0: $i] :
~ ( zip_tseitin_2 @ ( sk__11 @ X0 ) @ X0 )
<= ! [X0: $i] :
~ ( zip_tseitin_2 @ ( sk__11 @ X0 ) @ X0 ) ),
inference(split,[status(esa)],[zip_derived_cl17]) ).
thf('3',plain,
( ~ ! [X0: $i] :
~ ( zip_tseitin_2 @ ( sk__11 @ X0 ) @ X0 )
| ~ ! [X0: $i] : ( zip_tseitin_2 @ X0 @ sk__10 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl82,zip_derived_cl85]) ).
thf(zf_stmt_5,axiom,
( zip_tseitin_9
<=> ( ? [X: $i] :
! [Y: $i] : ( zip_tseitin_7 @ Y @ X )
<=> zip_tseitin_8 ) ) ).
thf(zip_derived_cl39,plain,
! [X0: $i] :
( zip_tseitin_9
| zip_tseitin_8
| ( zip_tseitin_7 @ X0 @ sk__21 ) ),
inference(cnf,[status(esa)],[zf_stmt_5]) ).
thf(zip_derived_cl127,plain,
( ! [X0: $i] : ( zip_tseitin_7 @ X0 @ sk__21 )
<= ! [X0: $i] : ( zip_tseitin_7 @ X0 @ sk__21 ) ),
inference(split,[status(esa)],[zip_derived_cl39]) ).
thf(zip_derived_cl37,plain,
! [X0: $i] :
( ~ ( zip_tseitin_7 @ ( sk__23 @ X0 ) @ X0 )
| zip_tseitin_8
| ~ zip_tseitin_9 ),
inference(cnf,[status(esa)],[zf_stmt_5]) ).
thf(zip_derived_cl121,plain,
( ! [X0: $i] :
~ ( zip_tseitin_7 @ ( sk__23 @ X0 ) @ X0 )
<= ! [X0: $i] :
~ ( zip_tseitin_7 @ ( sk__23 @ X0 ) @ X0 ) ),
inference(split,[status(esa)],[zip_derived_cl37]) ).
thf('4',plain,
( ~ ! [X0: $i] : ( zip_tseitin_7 @ X0 @ sk__21 )
| ~ ! [X0: $i] :
~ ( zip_tseitin_7 @ ( sk__23 @ X0 ) @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl127,zip_derived_cl121]) ).
thf(zip_derived_cl127_002,plain,
( ! [X0: $i] : ( zip_tseitin_7 @ X0 @ sk__21 )
<= ! [X0: $i] : ( zip_tseitin_7 @ X0 @ sk__21 ) ),
inference(split,[status(esa)],[zip_derived_cl39]) ).
thf(zf_stmt_6,axiom,
! [Y: $i,X: $i] :
( ( zip_tseitin_7 @ Y @ X )
<=> ( ( s @ X )
<=> ( s @ Y ) ) ) ).
thf(zip_derived_cl29,plain,
! [X0: $i,X1: $i] :
( ~ ( s @ X0 )
| ( s @ X1 )
| ~ ( zip_tseitin_7 @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_6]) ).
thf(zip_derived_cl340,plain,
( ! [X0: $i] :
( ~ ( s @ sk__21 )
| ( s @ X0 ) )
<= ! [X0: $i] : ( zip_tseitin_7 @ X0 @ sk__21 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl127,zip_derived_cl29]) ).
thf('5',plain,
( ~ ( s @ sk__21 )
| ~ ! [X0: $i] : ( zip_tseitin_7 @ X0 @ sk__21 )
| ! [X1: $i] : ( s @ X1 ) ),
inference(split,[status(esa)],[zip_derived_cl340]) ).
thf(zip_derived_cl127_003,plain,
( ! [X0: $i] : ( zip_tseitin_7 @ X0 @ sk__21 )
<= ! [X0: $i] : ( zip_tseitin_7 @ X0 @ sk__21 ) ),
inference(split,[status(esa)],[zip_derived_cl39]) ).
thf(zip_derived_cl38,plain,
! [X0: $i] :
( zip_tseitin_9
| ~ zip_tseitin_8
| ~ ( zip_tseitin_7 @ ( sk__20 @ X0 ) @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_5]) ).
thf(zip_derived_cl124,plain,
( ! [X0: $i] :
~ ( zip_tseitin_7 @ ( sk__20 @ X0 ) @ X0 )
<= ! [X0: $i] :
~ ( zip_tseitin_7 @ ( sk__20 @ X0 ) @ X0 ) ),
inference(split,[status(esa)],[zip_derived_cl38]) ).
thf('6',plain,
( ~ ! [X0: $i] :
~ ( zip_tseitin_7 @ ( sk__20 @ X0 ) @ X0 )
| ~ ! [X0: $i] : ( zip_tseitin_7 @ X0 @ sk__21 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl127,zip_derived_cl124]) ).
thf(zip_derived_cl127_004,plain,
( ! [X0: $i] : ( zip_tseitin_7 @ X0 @ sk__21 )
<= ! [X0: $i] : ( zip_tseitin_7 @ X0 @ sk__21 ) ),
inference(split,[status(esa)],[zip_derived_cl39]) ).
thf(zip_derived_cl28,plain,
! [X0: $i,X1: $i] :
( ~ ( s @ X0 )
| ( s @ X1 )
| ~ ( zip_tseitin_7 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_6]) ).
thf(zip_derived_cl339,plain,
( ! [X0: $i] :
( ~ ( s @ X0 )
| ( s @ sk__21 ) )
<= ! [X0: $i] : ( zip_tseitin_7 @ X0 @ sk__21 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl127,zip_derived_cl28]) ).
thf('7',plain,
( ~ ! [X0: $i] : ( zip_tseitin_7 @ X0 @ sk__21 )
| ! [X0: $i] :
~ ( s @ X0 )
| ( s @ sk__21 ) ),
inference(split,[status(esa)],[zip_derived_cl339]) ).
thf('8',plain,
( zip_tseitin_9
| zip_tseitin_8
| ! [X0: $i] : ( zip_tseitin_7 @ X0 @ sk__21 ) ),
inference(split,[status(esa)],[zip_derived_cl39]) ).
thf(zip_derived_cl12,plain,
( ~ ( s @ sk__7 )
| ( r @ sk__6 )
| ~ zip_tseitin_3 ),
inference(cnf,[status(esa)],[zf_stmt_2]) ).
thf(zip_derived_cl71,plain,
( ( r @ sk__6 )
<= ( r @ sk__6 ) ),
inference(split,[status(esa)],[zip_derived_cl12]) ).
thf(zip_derived_cl74_005,plain,
( ! [X0: $i] :
~ ( r @ X0 )
<= ! [X0: $i] :
~ ( r @ X0 ) ),
inference(split,[status(esa)],[zip_derived_cl13]) ).
thf('9',plain,
( ~ ( r @ sk__6 )
| ~ ! [X0: $i] :
~ ( r @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl71,zip_derived_cl74]) ).
thf('10',plain,
( ~ ( s @ sk__7 )
| ( r @ sk__6 )
| ~ zip_tseitin_3 ),
inference(split,[status(esa)],[zip_derived_cl12]) ).
thf(zip_derived_cl36,plain,
! [X0: $i] :
( ~ zip_tseitin_8
| ( zip_tseitin_7 @ X0 @ sk__22 )
| ~ zip_tseitin_9 ),
inference(cnf,[status(esa)],[zf_stmt_5]) ).
thf('11',plain,
( ~ zip_tseitin_8
| ~ zip_tseitin_9
| ! [X0: $i] : ( zip_tseitin_7 @ X0 @ sk__22 ) ),
inference(split,[status(esa)],[zip_derived_cl36]) ).
thf(zip_derived_cl15,plain,
! [X0: $i] :
( zip_tseitin_3
| ( s @ X0 )
| ( r @ sk__5 ) ),
inference(cnf,[status(esa)],[zf_stmt_2]) ).
thf(zip_derived_cl80,plain,
( ( r @ sk__5 )
<= ( r @ sk__5 ) ),
inference(split,[status(esa)],[zip_derived_cl15]) ).
thf(zip_derived_cl74_006,plain,
( ! [X0: $i] :
~ ( r @ X0 )
<= ! [X0: $i] :
~ ( r @ X0 ) ),
inference(split,[status(esa)],[zip_derived_cl13]) ).
thf('12',plain,
( ~ ! [X0: $i] :
~ ( r @ X0 )
| ~ ( r @ sk__5 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl80,zip_derived_cl74]) ).
thf(zip_derived_cl44,plain,
! [X0: $i] :
( ~ zip_tseitin_10
| ( zip_tseitin_5 @ X0 @ sk__26 )
| ~ zip_tseitin_11 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl142,plain,
( ! [X0: $i] : ( zip_tseitin_5 @ X0 @ sk__26 )
<= ! [X0: $i] : ( zip_tseitin_5 @ X0 @ sk__26 ) ),
inference(split,[status(esa)],[zip_derived_cl44]) ).
thf(zip_derived_cl20,plain,
! [X0: $i,X1: $i] :
( ~ ( r @ X0 )
| ( r @ X1 )
| ~ ( zip_tseitin_5 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl359,plain,
( ! [X0: $i] :
( ~ ( r @ X0 )
| ( r @ sk__26 ) )
<= ! [X0: $i] : ( zip_tseitin_5 @ X0 @ sk__26 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl142,zip_derived_cl20]) ).
thf('13',plain,
( ~ ! [X0: $i] : ( zip_tseitin_5 @ X0 @ sk__26 )
| ! [X0: $i] :
~ ( r @ X0 )
| ( r @ sk__26 ) ),
inference(split,[status(esa)],[zip_derived_cl359]) ).
thf(zip_derived_cl142_007,plain,
( ! [X0: $i] : ( zip_tseitin_5 @ X0 @ sk__26 )
<= ! [X0: $i] : ( zip_tseitin_5 @ X0 @ sk__26 ) ),
inference(split,[status(esa)],[zip_derived_cl44]) ).
thf(zip_derived_cl21,plain,
! [X0: $i,X1: $i] :
( ~ ( r @ X0 )
| ( r @ X1 )
| ~ ( zip_tseitin_5 @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl360,plain,
( ! [X0: $i] :
( ~ ( r @ sk__26 )
| ( r @ X0 ) )
<= ! [X0: $i] : ( zip_tseitin_5 @ X0 @ sk__26 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl142,zip_derived_cl21]) ).
thf('14',plain,
( ~ ! [X0: $i] : ( zip_tseitin_5 @ X0 @ sk__26 )
| ~ ( r @ sk__26 )
| ! [X1: $i] : ( r @ X1 ) ),
inference(split,[status(esa)],[zip_derived_cl360]) ).
thf('15',plain,
( ( r @ sk__5 )
| zip_tseitin_3
| ! [X1: $i] : ( s @ X1 ) ),
inference(split,[status(esa)],[zip_derived_cl15]) ).
thf('16',plain,
( ~ zip_tseitin_10
| ! [X0: $i] : ( zip_tseitin_5 @ X0 @ sk__26 )
| ~ zip_tseitin_11 ),
inference(split,[status(esa)],[zip_derived_cl44]) ).
thf(zf_stmt_7,axiom,
( zip_tseitin_6
<=> ( ? [X: $i] : ( s @ X )
<=> ! [Y: $i] : ( p @ Y ) ) ) ).
thf(zip_derived_cl27,plain,
! [X0: $i] :
( zip_tseitin_6
| ( p @ X0 )
| ( s @ sk__13 ) ),
inference(cnf,[status(esa)],[zf_stmt_7]) ).
thf('17',plain,
( ( s @ sk__13 )
| ! [X1: $i] : ( p @ X1 )
| zip_tseitin_6 ),
inference(split,[status(esa)],[zip_derived_cl27]) ).
thf(zip_derived_cl23_008,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_5 @ X0 @ X1 )
| ( r @ X0 )
| ( r @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl46,plain,
! [X0: $i] :
( zip_tseitin_11
| ~ zip_tseitin_10
| ~ ( zip_tseitin_5 @ ( sk__24 @ X0 ) @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl148,plain,
( ! [X0: $i] :
~ ( zip_tseitin_5 @ ( sk__24 @ X0 ) @ X0 )
<= ! [X0: $i] :
~ ( zip_tseitin_5 @ ( sk__24 @ X0 ) @ X0 ) ),
inference(split,[status(esa)],[zip_derived_cl46]) ).
thf(zip_derived_cl238,plain,
( ! [X0: $i] :
( ( r @ X0 )
| ( r @ ( sk__24 @ X0 ) ) )
<= ! [X0: $i] :
~ ( zip_tseitin_5 @ ( sk__24 @ X0 ) @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl23,zip_derived_cl148]) ).
thf(zip_derived_cl74_009,plain,
( ! [X0: $i] :
~ ( r @ X0 )
<= ! [X0: $i] :
~ ( r @ X0 ) ),
inference(split,[status(esa)],[zip_derived_cl13]) ).
thf(zip_derived_cl407,plain,
( ! [X0: $i] : ( r @ X0 )
<= ( ! [X0: $i] :
~ ( r @ X0 )
& ! [X0: $i] :
~ ( zip_tseitin_5 @ ( sk__24 @ X0 ) @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl238,zip_derived_cl74]) ).
thf(zip_derived_cl74_010,plain,
( ! [X0: $i] :
~ ( r @ X0 )
<= ! [X0: $i] :
~ ( r @ X0 ) ),
inference(split,[status(esa)],[zip_derived_cl13]) ).
thf('18',plain,
( ~ ! [X0: $i] :
~ ( zip_tseitin_5 @ ( sk__24 @ X0 ) @ X0 )
| ~ ! [X0: $i] :
~ ( r @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl407,zip_derived_cl74]) ).
thf(zip_derived_cl24,plain,
( ~ ( p @ sk__15 )
| ( s @ sk__14 )
| ~ zip_tseitin_6 ),
inference(cnf,[status(esa)],[zf_stmt_7]) ).
thf('19',plain,
( ~ ( p @ sk__15 )
| ~ zip_tseitin_6
| ( s @ sk__14 ) ),
inference(split,[status(esa)],[zip_derived_cl24]) ).
thf(zip_derived_cl25,plain,
! [X0: $i,X1: $i] :
( ~ ( s @ X0 )
| ( p @ X1 )
| ~ zip_tseitin_6 ),
inference(cnf,[status(esa)],[zf_stmt_7]) ).
thf(zip_derived_cl97,plain,
( ! [X1: $i] : ( p @ X1 )
<= ! [X1: $i] : ( p @ X1 ) ),
inference(split,[status(esa)],[zip_derived_cl25]) ).
thf(zip_derived_cl96,plain,
( ~ ( p @ sk__15 )
<= ~ ( p @ sk__15 ) ),
inference(split,[status(esa)],[zip_derived_cl24]) ).
thf('20',plain,
( ~ ! [X1: $i] : ( p @ X1 )
| ( p @ sk__15 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl97,zip_derived_cl96]) ).
thf('21',plain,
( ~ zip_tseitin_3
| ! [X0: $i] :
~ ( r @ X0 )
| ! [X1: $i] : ( s @ X1 ) ),
inference(split,[status(esa)],[zip_derived_cl13]) ).
thf(zip_derived_cl31,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_7 @ X0 @ X1 )
| ( s @ X0 )
| ( s @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_6]) ).
thf(zip_derived_cl121_011,plain,
( ! [X0: $i] :
~ ( zip_tseitin_7 @ ( sk__23 @ X0 ) @ X0 )
<= ! [X0: $i] :
~ ( zip_tseitin_7 @ ( sk__23 @ X0 ) @ X0 ) ),
inference(split,[status(esa)],[zip_derived_cl37]) ).
thf(zip_derived_cl300,plain,
( ! [X0: $i] :
( ( s @ X0 )
| ( s @ ( sk__23 @ X0 ) ) )
<= ! [X0: $i] :
~ ( zip_tseitin_7 @ ( sk__23 @ X0 ) @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl31,zip_derived_cl121]) ).
thf(zip_derived_cl98,plain,
( ! [X0: $i] :
~ ( s @ X0 )
<= ! [X0: $i] :
~ ( s @ X0 ) ),
inference(split,[status(esa)],[zip_derived_cl25]) ).
thf(zip_derived_cl413,plain,
( ! [X0: $i] : ( s @ X0 )
<= ( ! [X0: $i] :
~ ( s @ X0 )
& ! [X0: $i] :
~ ( zip_tseitin_7 @ ( sk__23 @ X0 ) @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl300,zip_derived_cl98]) ).
thf(zip_derived_cl98_012,plain,
( ! [X0: $i] :
~ ( s @ X0 )
<= ! [X0: $i] :
~ ( s @ X0 ) ),
inference(split,[status(esa)],[zip_derived_cl25]) ).
thf('22',plain,
( ~ ! [X0: $i] :
~ ( s @ X0 )
| ~ ! [X0: $i] :
~ ( zip_tseitin_7 @ ( sk__23 @ X0 ) @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl413,zip_derived_cl98]) ).
thf(zip_derived_cl31_013,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_7 @ X0 @ X1 )
| ( s @ X0 )
| ( s @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_6]) ).
thf(zip_derived_cl124_014,plain,
( ! [X0: $i] :
~ ( zip_tseitin_7 @ ( sk__20 @ X0 ) @ X0 )
<= ! [X0: $i] :
~ ( zip_tseitin_7 @ ( sk__20 @ X0 ) @ X0 ) ),
inference(split,[status(esa)],[zip_derived_cl38]) ).
thf(zip_derived_cl299,plain,
( ! [X0: $i] :
( ( s @ X0 )
| ( s @ ( sk__20 @ X0 ) ) )
<= ! [X0: $i] :
~ ( zip_tseitin_7 @ ( sk__20 @ X0 ) @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl31,zip_derived_cl124]) ).
thf(zip_derived_cl98_015,plain,
( ! [X0: $i] :
~ ( s @ X0 )
<= ! [X0: $i] :
~ ( s @ X0 ) ),
inference(split,[status(esa)],[zip_derived_cl25]) ).
thf(zip_derived_cl411,plain,
( ! [X0: $i] : ( s @ X0 )
<= ( ! [X0: $i] :
~ ( s @ X0 )
& ! [X0: $i] :
~ ( zip_tseitin_7 @ ( sk__20 @ X0 ) @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl299,zip_derived_cl98]) ).
thf(zip_derived_cl348,plain,
( ~ ( s @ sk__21 )
<= ~ ( s @ sk__21 ) ),
inference(split,[status(esa)],[zip_derived_cl340]) ).
thf('23',plain,
( ~ ! [X0: $i] :
~ ( zip_tseitin_7 @ ( sk__20 @ X0 ) @ X0 )
| ~ ! [X0: $i] :
~ ( s @ X0 )
| ( s @ sk__21 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl411,zip_derived_cl348]) ).
thf(zip_derived_cl378,plain,
( ( s @ sk__21 )
<= ( s @ sk__21 ) ),
inference(split,[status(esa)],[zip_derived_cl339]) ).
thf(zip_derived_cl98_016,plain,
( ! [X0: $i] :
~ ( s @ X0 )
<= ! [X0: $i] :
~ ( s @ X0 ) ),
inference(split,[status(esa)],[zip_derived_cl25]) ).
thf('24',plain,
( ~ ( s @ sk__21 )
| ~ ! [X0: $i] :
~ ( s @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl378,zip_derived_cl98]) ).
thf(zip_derived_cl104,plain,
( ( s @ sk__13 )
<= ( s @ sk__13 ) ),
inference(split,[status(esa)],[zip_derived_cl27]) ).
thf(zip_derived_cl98_017,plain,
( ! [X0: $i] :
~ ( s @ X0 )
<= ! [X0: $i] :
~ ( s @ X0 ) ),
inference(split,[status(esa)],[zip_derived_cl25]) ).
thf('25',plain,
( ~ ! [X0: $i] :
~ ( s @ X0 )
| ~ ( s @ sk__13 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl104,zip_derived_cl98]) ).
thf(zip_derived_cl95,plain,
( ( s @ sk__14 )
<= ( s @ sk__14 ) ),
inference(split,[status(esa)],[zip_derived_cl24]) ).
thf(zip_derived_cl98_018,plain,
( ! [X0: $i] :
~ ( s @ X0 )
<= ! [X0: $i] :
~ ( s @ X0 ) ),
inference(split,[status(esa)],[zip_derived_cl25]) ).
thf('26',plain,
( ~ ( s @ sk__14 )
| ~ ! [X0: $i] :
~ ( s @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl95,zip_derived_cl98]) ).
thf('27',plain,
( ~ zip_tseitin_4
| ! [X0: $i] :
~ ( zip_tseitin_2 @ ( sk__11 @ X0 ) @ X0 )
| zip_tseitin_3 ),
inference(split,[status(esa)],[zip_derived_cl17]) ).
thf(zf_stmt_8,axiom,
( zip_tseitin_1
<=> ( ? [X: $i] : ( q @ X )
<=> ! [Y: $i] : ( r @ Y ) ) ) ).
thf(zip_derived_cl7,plain,
! [X0: $i] :
( zip_tseitin_1
| ( r @ X0 )
| ( q @ sk__1 ) ),
inference(cnf,[status(esa)],[zf_stmt_8]) ).
thf('28',plain,
( ( q @ sk__1 )
| zip_tseitin_1
| ! [X1: $i] : ( r @ X1 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl11,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_2 @ X0 @ X1 )
| ( q @ X0 )
| ( q @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_4]) ).
thf(zip_derived_cl85_019,plain,
( ! [X0: $i] :
~ ( zip_tseitin_2 @ ( sk__11 @ X0 ) @ X0 )
<= ! [X0: $i] :
~ ( zip_tseitin_2 @ ( sk__11 @ X0 ) @ X0 ) ),
inference(split,[status(esa)],[zip_derived_cl17]) ).
thf(zip_derived_cl205,plain,
( ! [X0: $i] :
( ( q @ X0 )
| ( q @ ( sk__11 @ X0 ) ) )
<= ! [X0: $i] :
~ ( zip_tseitin_2 @ ( sk__11 @ X0 ) @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl11,zip_derived_cl85]) ).
thf(zip_derived_cl5,plain,
! [X0: $i,X1: $i] :
( ~ ( q @ X0 )
| ( r @ X1 )
| ~ zip_tseitin_1 ),
inference(cnf,[status(esa)],[zf_stmt_8]) ).
thf(zip_derived_cl62,plain,
( ! [X0: $i] :
~ ( q @ X0 )
<= ! [X0: $i] :
~ ( q @ X0 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf(zip_derived_cl389,plain,
( ! [X0: $i] : ( q @ X0 )
<= ( ! [X0: $i] :
~ ( q @ X0 )
& ! [X0: $i] :
~ ( zip_tseitin_2 @ ( sk__11 @ X0 ) @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl205,zip_derived_cl62]) ).
thf(zip_derived_cl62_020,plain,
( ! [X0: $i] :
~ ( q @ X0 )
<= ! [X0: $i] :
~ ( q @ X0 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf('29',plain,
( ~ ! [X0: $i] :
~ ( zip_tseitin_2 @ ( sk__11 @ X0 ) @ X0 )
| ~ ! [X0: $i] :
~ ( q @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl389,zip_derived_cl62]) ).
thf(zip_derived_cl68,plain,
( ( q @ sk__1 )
<= ( q @ sk__1 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl62_021,plain,
( ! [X0: $i] :
~ ( q @ X0 )
<= ! [X0: $i] :
~ ( q @ X0 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf('30',plain,
( ~ ! [X0: $i] :
~ ( q @ X0 )
| ~ ( q @ sk__1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl68,zip_derived_cl62]) ).
thf(zf_stmt_9,axiom,
( zip_tseitin_12
<=> ( zip_tseitin_4
<=> zip_tseitin_11 ) ) ).
thf(zip_derived_cl51,plain,
( zip_tseitin_12
| zip_tseitin_11
| zip_tseitin_4 ),
inference(cnf,[status(esa)],[zf_stmt_9]) ).
thf('31',plain,
( zip_tseitin_12
| zip_tseitin_11
| zip_tseitin_4 ),
inference(split,[status(esa)],[zip_derived_cl51]) ).
thf(zf_stmt_10,axiom,
( zip_tseitin_8
<=> ( ? [X: $i] : ( p @ X )
<=> ! [Y: $i] : ( q @ Y ) ) ) ).
thf(zip_derived_cl32,plain,
( ~ ( q @ sk__19 )
| ( p @ sk__18 )
| ~ zip_tseitin_8 ),
inference(cnf,[status(esa)],[zf_stmt_10]) ).
thf(zip_derived_cl107,plain,
( ( p @ sk__18 )
<= ( p @ sk__18 ) ),
inference(split,[status(esa)],[zip_derived_cl32]) ).
thf(zip_derived_cl33,plain,
! [X0: $i,X1: $i] :
( ~ ( p @ X0 )
| ( q @ X1 )
| ~ zip_tseitin_8 ),
inference(cnf,[status(esa)],[zf_stmt_10]) ).
thf(zip_derived_cl110,plain,
( ! [X0: $i] :
~ ( p @ X0 )
<= ! [X0: $i] :
~ ( p @ X0 ) ),
inference(split,[status(esa)],[zip_derived_cl33]) ).
thf('32',plain,
( ~ ! [X0: $i] :
~ ( p @ X0 )
| ~ ( p @ sk__18 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl107,zip_derived_cl110]) ).
thf(zf_stmt_11,axiom,
( zip_tseitin_10
<=> ( zip_tseitin_6
<=> zip_tseitin_9 ) ) ).
thf(zip_derived_cl43,plain,
( zip_tseitin_10
| zip_tseitin_9
| zip_tseitin_6 ),
inference(cnf,[status(esa)],[zf_stmt_11]) ).
thf('33',plain,
( zip_tseitin_9
| zip_tseitin_6
| zip_tseitin_10 ),
inference(split,[status(esa)],[zip_derived_cl43]) ).
thf(zip_derived_cl42,plain,
( zip_tseitin_10
| ~ zip_tseitin_9
| ~ zip_tseitin_6 ),
inference(cnf,[status(esa)],[zf_stmt_11]) ).
thf('34',plain,
( ~ zip_tseitin_6
| ~ zip_tseitin_9
| zip_tseitin_10 ),
inference(split,[status(esa)],[zip_derived_cl42]) ).
thf(zip_derived_cl49,plain,
( ~ zip_tseitin_4
| zip_tseitin_11
| ~ zip_tseitin_12 ),
inference(cnf,[status(esa)],[zf_stmt_9]) ).
thf('35',plain,
( ~ zip_tseitin_4
| zip_tseitin_11
| ~ zip_tseitin_12 ),
inference(split,[status(esa)],[zip_derived_cl49]) ).
thf(zip_derived_cl109,plain,
( ! [X1: $i] : ( q @ X1 )
<= ! [X1: $i] : ( q @ X1 ) ),
inference(split,[status(esa)],[zip_derived_cl33]) ).
thf(zip_derived_cl108,plain,
( ~ ( q @ sk__19 )
<= ~ ( q @ sk__19 ) ),
inference(split,[status(esa)],[zip_derived_cl32]) ).
thf('36',plain,
( ( q @ sk__19 )
| ~ ! [X1: $i] : ( q @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl109,zip_derived_cl108]) ).
thf('37',plain,
( ( p @ sk__18 )
| ~ zip_tseitin_8
| ~ ( q @ sk__19 ) ),
inference(split,[status(esa)],[zip_derived_cl32]) ).
thf('38',plain,
( ! [X0: $i] :
~ ( zip_tseitin_5 @ ( sk__27 @ X0 ) @ X0 )
| ~ zip_tseitin_11
| zip_tseitin_10 ),
inference(split,[status(esa)],[zip_derived_cl45]) ).
thf(zip_derived_cl18,plain,
! [X0: $i] :
( zip_tseitin_4
| ~ zip_tseitin_3
| ~ ( zip_tseitin_2 @ ( sk__8 @ X0 ) @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(zip_derived_cl88,plain,
( ! [X0: $i] :
~ ( zip_tseitin_2 @ ( sk__8 @ X0 ) @ X0 )
<= ! [X0: $i] :
~ ( zip_tseitin_2 @ ( sk__8 @ X0 ) @ X0 ) ),
inference(split,[status(esa)],[zip_derived_cl18]) ).
thf(zip_derived_cl11_022,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_2 @ X0 @ X1 )
| ( q @ X0 )
| ( q @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_4]) ).
thf(zip_derived_cl213,plain,
( ! [X0: $i] :
( ( q @ ( sk__8 @ X0 ) )
| ( q @ X0 ) )
<= ! [X0: $i] :
~ ( zip_tseitin_2 @ ( sk__8 @ X0 ) @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl88,zip_derived_cl11]) ).
thf(zip_derived_cl62_023,plain,
( ! [X0: $i] :
~ ( q @ X0 )
<= ! [X0: $i] :
~ ( q @ X0 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf(zip_derived_cl403,plain,
( ! [X0: $i] : ( q @ X0 )
<= ( ! [X0: $i] :
~ ( q @ X0 )
& ! [X0: $i] :
~ ( zip_tseitin_2 @ ( sk__8 @ X0 ) @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl213,zip_derived_cl62]) ).
thf(zip_derived_cl62_024,plain,
( ! [X0: $i] :
~ ( q @ X0 )
<= ! [X0: $i] :
~ ( q @ X0 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf('39',plain,
( ~ ! [X0: $i] :
~ ( zip_tseitin_2 @ ( sk__8 @ X0 ) @ X0 )
| ~ ! [X0: $i] :
~ ( q @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl403,zip_derived_cl62]) ).
thf(zf_stmt_12,axiom,
( zip_tseitin_13
<=> ( zip_tseitin_1
<=> zip_tseitin_12 ) ) ).
thf(zip_derived_cl53,plain,
( ~ zip_tseitin_1
| zip_tseitin_12
| ~ zip_tseitin_13 ),
inference(cnf,[status(esa)],[zf_stmt_12]) ).
thf('40',plain,
( ~ zip_tseitin_1
| zip_tseitin_12
| ~ zip_tseitin_13 ),
inference(split,[status(esa)],[zip_derived_cl53]) ).
thf(zip_derived_cl4,plain,
( ~ ( r @ sk__3 )
| ( q @ sk__2 )
| ~ zip_tseitin_1 ),
inference(cnf,[status(esa)],[zf_stmt_8]) ).
thf('41',plain,
( ~ ( r @ sk__3 )
| ~ zip_tseitin_1
| ( q @ sk__2 ) ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
thf(zip_derived_cl82_025,plain,
( ! [X0: $i] : ( zip_tseitin_2 @ X0 @ sk__10 )
<= ! [X0: $i] : ( zip_tseitin_2 @ X0 @ sk__10 ) ),
inference(split,[status(esa)],[zip_derived_cl16]) ).
thf(zip_derived_cl9_026,plain,
! [X0: $i,X1: $i] :
( ~ ( q @ X0 )
| ( q @ X1 )
| ~ ( zip_tseitin_2 @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_4]) ).
thf(zip_derived_cl312,plain,
( ! [X0: $i] :
( ~ ( q @ sk__10 )
| ( q @ X0 ) )
<= ! [X0: $i] : ( zip_tseitin_2 @ X0 @ sk__10 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl82,zip_derived_cl9]) ).
thf('42',plain,
( ~ ! [X0: $i] : ( zip_tseitin_2 @ X0 @ sk__10 )
| ! [X1: $i] : ( q @ X1 )
| ~ ( q @ sk__10 ) ),
inference(split,[status(esa)],[zip_derived_cl312]) ).
thf(zip_derived_cl82_027,plain,
( ! [X0: $i] : ( zip_tseitin_2 @ X0 @ sk__10 )
<= ! [X0: $i] : ( zip_tseitin_2 @ X0 @ sk__10 ) ),
inference(split,[status(esa)],[zip_derived_cl16]) ).
thf(zip_derived_cl8,plain,
! [X0: $i,X1: $i] :
( ~ ( q @ X0 )
| ( q @ X1 )
| ~ ( zip_tseitin_2 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_4]) ).
thf(zip_derived_cl311,plain,
( ! [X0: $i] :
( ~ ( q @ X0 )
| ( q @ sk__10 ) )
<= ! [X0: $i] : ( zip_tseitin_2 @ X0 @ sk__10 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl82,zip_derived_cl8]) ).
thf('43',plain,
( ~ ! [X0: $i] : ( zip_tseitin_2 @ X0 @ sk__10 )
| ( q @ sk__10 )
| ! [X0: $i] :
~ ( q @ X0 ) ),
inference(split,[status(esa)],[zip_derived_cl311]) ).
thf(zip_derived_cl52,plain,
( ~ zip_tseitin_12
| zip_tseitin_1
| ~ zip_tseitin_13 ),
inference(cnf,[status(esa)],[zf_stmt_12]) ).
thf('44',plain,
( ~ zip_tseitin_13
| ~ zip_tseitin_12
| zip_tseitin_1 ),
inference(split,[status(esa)],[zip_derived_cl52]) ).
thf('45',plain,
( ~ zip_tseitin_3
| ! [X0: $i] : ( zip_tseitin_2 @ X0 @ sk__10 )
| ~ zip_tseitin_4 ),
inference(split,[status(esa)],[zip_derived_cl16]) ).
thf(zip_derived_cl59,plain,
( ( q @ sk__2 )
<= ( q @ sk__2 ) ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
thf(zip_derived_cl62_028,plain,
( ! [X0: $i] :
~ ( q @ X0 )
<= ! [X0: $i] :
~ ( q @ X0 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf('46',plain,
( ~ ( q @ sk__2 )
| ~ ! [X0: $i] :
~ ( q @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl59,zip_derived_cl62]) ).
thf(zf_stmt_13,type,
zip_tseitin_13: $o ).
thf(zf_stmt_14,type,
zip_tseitin_12: $o ).
thf(zf_stmt_15,type,
zip_tseitin_11: $o ).
thf(zf_stmt_16,type,
zip_tseitin_10: $o ).
thf(zf_stmt_17,type,
zip_tseitin_9: $o ).
thf(zf_stmt_18,type,
zip_tseitin_8: $o ).
thf(zf_stmt_19,type,
zip_tseitin_7: $i > $i > $o ).
thf(zf_stmt_20,type,
zip_tseitin_6: $o ).
thf(zf_stmt_21,type,
zip_tseitin_5: $i > $i > $o ).
thf(zf_stmt_22,type,
zip_tseitin_4: $o ).
thf(zf_stmt_23,type,
zip_tseitin_3: $o ).
thf(zf_stmt_24,type,
zip_tseitin_2: $i > $i > $o ).
thf(zf_stmt_25,type,
zip_tseitin_1: $o ).
thf(zf_stmt_26,type,
zip_tseitin_0: $i > $i > $o ).
thf(zf_stmt_27,axiom,
! [Y: $i,X: $i] :
( ( zip_tseitin_0 @ Y @ X )
<=> ( ( p @ X )
<=> ( p @ Y ) ) ) ).
thf(zf_stmt_28,conjecture,
( ? [X: $i] :
! [Y: $i] : ( zip_tseitin_0 @ Y @ X )
<=> zip_tseitin_13 ) ).
thf(zf_stmt_29,negated_conjecture,
~ ( ? [X: $i] :
! [Y: $i] : ( zip_tseitin_0 @ Y @ X )
<=> zip_tseitin_13 ),
inference('cnf.neg',[status(esa)],[zf_stmt_28]) ).
thf(zip_derived_cl56,plain,
! [X0: $i] :
( zip_tseitin_13
| ( zip_tseitin_0 @ X0 @ sk__29 ) ),
inference(cnf,[status(esa)],[zf_stmt_29]) ).
thf('47',plain,
( ! [X0: $i] : ( zip_tseitin_0 @ X0 @ sk__29 )
| zip_tseitin_13 ),
inference(split,[status(esa)],[zip_derived_cl56]) ).
thf(zip_derived_cl35,plain,
! [X0: $i] :
( zip_tseitin_8
| ( q @ X0 )
| ( p @ sk__17 ) ),
inference(cnf,[status(esa)],[zf_stmt_10]) ).
thf(zip_derived_cl116,plain,
( ( p @ sk__17 )
<= ( p @ sk__17 ) ),
inference(split,[status(esa)],[zip_derived_cl35]) ).
thf(zip_derived_cl110_029,plain,
( ! [X0: $i] :
~ ( p @ X0 )
<= ! [X0: $i] :
~ ( p @ X0 ) ),
inference(split,[status(esa)],[zip_derived_cl33]) ).
thf('48',plain,
( ~ ! [X0: $i] :
~ ( p @ X0 )
| ~ ( p @ sk__17 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl116,zip_derived_cl110]) ).
thf('49',plain,
( ( p @ sk__17 )
| ! [X1: $i] : ( q @ X1 )
| zip_tseitin_8 ),
inference(split,[status(esa)],[zip_derived_cl35]) ).
thf(zip_derived_cl97_030,plain,
( ! [X1: $i] : ( p @ X1 )
<= ! [X1: $i] : ( p @ X1 ) ),
inference(split,[status(esa)],[zip_derived_cl25]) ).
thf(zip_derived_cl26,plain,
! [X0: $i] :
( zip_tseitin_6
| ~ ( p @ sk__12 )
| ~ ( s @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_7]) ).
thf(zip_derived_cl101,plain,
( ~ ( p @ sk__12 )
<= ~ ( p @ sk__12 ) ),
inference(split,[status(esa)],[zip_derived_cl26]) ).
thf('50',plain,
( ~ ! [X1: $i] : ( p @ X1 )
| ( p @ sk__12 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl97,zip_derived_cl101]) ).
thf('51',plain,
( ~ ( p @ sk__12 )
| zip_tseitin_6
| ! [X0: $i] :
~ ( s @ X0 ) ),
inference(split,[status(esa)],[zip_derived_cl26]) ).
thf('52',plain,
( ! [X0: $i] :
~ ( zip_tseitin_7 @ ( sk__23 @ X0 ) @ X0 )
| zip_tseitin_8
| ~ zip_tseitin_9 ),
inference(split,[status(esa)],[zip_derived_cl37]) ).
thf(zip_derived_cl97_031,plain,
( ! [X1: $i] : ( p @ X1 )
<= ! [X1: $i] : ( p @ X1 ) ),
inference(split,[status(esa)],[zip_derived_cl25]) ).
thf(zip_derived_cl110_032,plain,
( ! [X0: $i] :
~ ( p @ X0 )
<= ! [X0: $i] :
~ ( p @ X0 ) ),
inference(split,[status(esa)],[zip_derived_cl33]) ).
thf('53',plain,
( ~ ! [X0: $i] :
~ ( p @ X0 )
| ~ ! [X1: $i] : ( p @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl97,zip_derived_cl110]) ).
thf(zip_derived_cl41,plain,
( ~ zip_tseitin_6
| zip_tseitin_9
| ~ zip_tseitin_10 ),
inference(cnf,[status(esa)],[zf_stmt_11]) ).
thf('54',plain,
( ~ zip_tseitin_10
| ~ zip_tseitin_6
| zip_tseitin_9 ),
inference(split,[status(esa)],[zip_derived_cl41]) ).
thf('55',plain,
( ~ zip_tseitin_8
| ! [X1: $i] : ( q @ X1 )
| ! [X0: $i] :
~ ( p @ X0 ) ),
inference(split,[status(esa)],[zip_derived_cl33]) ).
thf(zip_derived_cl178,plain,
( ! [X0: $i] : ( zip_tseitin_0 @ X0 @ sk__29 )
<= ! [X0: $i] : ( zip_tseitin_0 @ X0 @ sk__29 ) ),
inference(split,[status(esa)],[zip_derived_cl56]) ).
thf(zip_derived_cl0,plain,
! [X0: $i,X1: $i] :
( ~ ( p @ X0 )
| ( p @ X1 )
| ~ ( zip_tseitin_0 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_27]) ).
thf(zip_derived_cl385,plain,
( ! [X0: $i] :
( ~ ( p @ X0 )
| ( p @ sk__29 ) )
<= ! [X0: $i] : ( zip_tseitin_0 @ X0 @ sk__29 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl178,zip_derived_cl0]) ).
thf('56',plain,
( ( p @ sk__29 )
| ! [X0: $i] :
~ ( p @ X0 )
| ~ ! [X0: $i] : ( zip_tseitin_0 @ X0 @ sk__29 ) ),
inference(split,[status(esa)],[zip_derived_cl385]) ).
thf(zip_derived_cl40,plain,
( ~ zip_tseitin_9
| zip_tseitin_6
| ~ zip_tseitin_10 ),
inference(cnf,[status(esa)],[zf_stmt_11]) ).
thf('57',plain,
( ~ zip_tseitin_10
| ~ zip_tseitin_9
| zip_tseitin_6 ),
inference(split,[status(esa)],[zip_derived_cl40]) ).
thf(zip_derived_cl34,plain,
! [X0: $i] :
( zip_tseitin_8
| ~ ( q @ sk__16 )
| ~ ( p @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_10]) ).
thf('58',plain,
( zip_tseitin_8
| ! [X0: $i] :
~ ( p @ X0 )
| ~ ( q @ sk__16 ) ),
inference(split,[status(esa)],[zip_derived_cl34]) ).
thf(zip_derived_cl57,plain,
! [X1: $i] :
( ~ zip_tseitin_13
| ~ ( zip_tseitin_0 @ ( sk__28 @ X1 ) @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_29]) ).
thf(zip_derived_cl180,plain,
( ! [X1: $i] :
~ ( zip_tseitin_0 @ ( sk__28 @ X1 ) @ X1 )
<= ! [X1: $i] :
~ ( zip_tseitin_0 @ ( sk__28 @ X1 ) @ X1 ) ),
inference(split,[status(esa)],[zip_derived_cl57]) ).
thf(zip_derived_cl3,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_0 @ X0 @ X1 )
| ( p @ X0 )
| ( p @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_27]) ).
thf(zip_derived_cl232,plain,
( ! [X0: $i] :
( ( p @ ( sk__28 @ X0 ) )
| ( p @ X0 ) )
<= ! [X1: $i] :
~ ( zip_tseitin_0 @ ( sk__28 @ X1 ) @ X1 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl180,zip_derived_cl3]) ).
thf(zip_derived_cl110_033,plain,
( ! [X0: $i] :
~ ( p @ X0 )
<= ! [X0: $i] :
~ ( p @ X0 ) ),
inference(split,[status(esa)],[zip_derived_cl33]) ).
thf(zip_derived_cl405,plain,
( ! [X0: $i] : ( p @ X0 )
<= ( ! [X0: $i] :
~ ( p @ X0 )
& ! [X1: $i] :
~ ( zip_tseitin_0 @ ( sk__28 @ X1 ) @ X1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl232,zip_derived_cl110]) ).
thf(zip_derived_cl110_034,plain,
( ! [X0: $i] :
~ ( p @ X0 )
<= ! [X0: $i] :
~ ( p @ X0 ) ),
inference(split,[status(esa)],[zip_derived_cl33]) ).
thf('59',plain,
( ~ ! [X0: $i] :
~ ( p @ X0 )
| ~ ! [X1: $i] :
~ ( zip_tseitin_0 @ ( sk__28 @ X1 ) @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl405,zip_derived_cl110]) ).
thf(zip_derived_cl97_035,plain,
( ! [X1: $i] : ( p @ X1 )
<= ! [X1: $i] : ( p @ X1 ) ),
inference(split,[status(esa)],[zip_derived_cl25]) ).
thf(zip_derived_cl180_036,plain,
( ! [X1: $i] :
~ ( zip_tseitin_0 @ ( sk__28 @ X1 ) @ X1 )
<= ! [X1: $i] :
~ ( zip_tseitin_0 @ ( sk__28 @ X1 ) @ X1 ) ),
inference(split,[status(esa)],[zip_derived_cl57]) ).
thf(zip_derived_cl2,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_0 @ X0 @ X1 )
| ~ ( p @ X0 )
| ~ ( p @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_27]) ).
thf(zip_derived_cl231,plain,
( ! [X0: $i] :
( ~ ( p @ ( sk__28 @ X0 ) )
| ~ ( p @ X0 ) )
<= ! [X1: $i] :
~ ( zip_tseitin_0 @ ( sk__28 @ X1 ) @ X1 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl180,zip_derived_cl2]) ).
thf(zip_derived_cl278,plain,
( ! [X0: $i] :
~ ( p @ X0 )
<= ( ! [X1: $i] : ( p @ X1 )
& ! [X1: $i] :
~ ( zip_tseitin_0 @ ( sk__28 @ X1 ) @ X1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl97,zip_derived_cl231]) ).
thf(zip_derived_cl97_037,plain,
( ! [X1: $i] : ( p @ X1 )
<= ! [X1: $i] : ( p @ X1 ) ),
inference(split,[status(esa)],[zip_derived_cl25]) ).
thf('60',plain,
( ~ ! [X1: $i] : ( p @ X1 )
| ~ ! [X1: $i] :
~ ( zip_tseitin_0 @ ( sk__28 @ X1 ) @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl278,zip_derived_cl97]) ).
thf('61',plain,
( ~ zip_tseitin_13
| ! [X1: $i] :
~ ( zip_tseitin_0 @ ( sk__28 @ X1 ) @ X1 ) ),
inference(split,[status(esa)],[zip_derived_cl57]) ).
thf(zip_derived_cl54,plain,
( zip_tseitin_13
| ~ zip_tseitin_12
| ~ zip_tseitin_1 ),
inference(cnf,[status(esa)],[zf_stmt_12]) ).
thf('62',plain,
( ~ zip_tseitin_1
| ~ zip_tseitin_12
| zip_tseitin_13 ),
inference(split,[status(esa)],[zip_derived_cl54]) ).
thf(zip_derived_cl50,plain,
( zip_tseitin_12
| ~ zip_tseitin_11
| ~ zip_tseitin_4 ),
inference(cnf,[status(esa)],[zf_stmt_9]) ).
thf('63',plain,
( ~ zip_tseitin_4
| ~ zip_tseitin_11
| zip_tseitin_12 ),
inference(split,[status(esa)],[zip_derived_cl50]) ).
thf('64',plain,
( ~ zip_tseitin_3
| ! [X0: $i] :
~ ( zip_tseitin_2 @ ( sk__8 @ X0 ) @ X0 )
| zip_tseitin_4 ),
inference(split,[status(esa)],[zip_derived_cl18]) ).
thf('65',plain,
( zip_tseitin_9
| ~ zip_tseitin_8
| ! [X0: $i] :
~ ( zip_tseitin_7 @ ( sk__20 @ X0 ) @ X0 ) ),
inference(split,[status(esa)],[zip_derived_cl38]) ).
thf('66',plain,
( ~ zip_tseitin_10
| ! [X0: $i] :
~ ( zip_tseitin_5 @ ( sk__24 @ X0 ) @ X0 )
| zip_tseitin_11 ),
inference(split,[status(esa)],[zip_derived_cl46]) ).
thf(zip_derived_cl14,plain,
! [X0: $i] :
( zip_tseitin_3
| ~ ( s @ sk__4 )
| ~ ( r @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_2]) ).
thf('67',plain,
( ~ ( s @ sk__4 )
| ! [X0: $i] :
~ ( r @ X0 )
| zip_tseitin_3 ),
inference(split,[status(esa)],[zip_derived_cl14]) ).
thf(zip_derived_cl61,plain,
( ! [X1: $i] : ( r @ X1 )
<= ! [X1: $i] : ( r @ X1 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf(zip_derived_cl148_038,plain,
( ! [X0: $i] :
~ ( zip_tseitin_5 @ ( sk__24 @ X0 ) @ X0 )
<= ! [X0: $i] :
~ ( zip_tseitin_5 @ ( sk__24 @ X0 ) @ X0 ) ),
inference(split,[status(esa)],[zip_derived_cl46]) ).
thf(zip_derived_cl22,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_5 @ X0 @ X1 )
| ~ ( r @ X0 )
| ~ ( r @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl229,plain,
( ! [X0: $i] :
( ~ ( r @ ( sk__24 @ X0 ) )
| ~ ( r @ X0 ) )
<= ! [X0: $i] :
~ ( zip_tseitin_5 @ ( sk__24 @ X0 ) @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl148,zip_derived_cl22]) ).
thf(zip_derived_cl274,plain,
( ! [X0: $i] :
~ ( r @ X0 )
<= ( ! [X1: $i] : ( r @ X1 )
& ! [X0: $i] :
~ ( zip_tseitin_5 @ ( sk__24 @ X0 ) @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl61,zip_derived_cl229]) ).
thf(zip_derived_cl61_039,plain,
( ! [X1: $i] : ( r @ X1 )
<= ! [X1: $i] : ( r @ X1 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf('68',plain,
( ~ ! [X0: $i] :
~ ( zip_tseitin_5 @ ( sk__24 @ X0 ) @ X0 )
| ~ ! [X1: $i] : ( r @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl274,zip_derived_cl61]) ).
thf(zip_derived_cl6,plain,
! [X0: $i] :
( zip_tseitin_1
| ~ ( r @ sk_ )
| ~ ( q @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_8]) ).
thf('69',plain,
( ~ ( r @ sk_ )
| zip_tseitin_1
| ! [X0: $i] :
~ ( q @ X0 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl73,plain,
( ! [X1: $i] : ( s @ X1 )
<= ! [X1: $i] : ( s @ X1 ) ),
inference(split,[status(esa)],[zip_derived_cl13]) ).
thf(zip_derived_cl30,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_7 @ X0 @ X1 )
| ~ ( s @ X0 )
| ~ ( s @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_6]) ).
thf(zip_derived_cl121_040,plain,
( ! [X0: $i] :
~ ( zip_tseitin_7 @ ( sk__23 @ X0 ) @ X0 )
<= ! [X0: $i] :
~ ( zip_tseitin_7 @ ( sk__23 @ X0 ) @ X0 ) ),
inference(split,[status(esa)],[zip_derived_cl37]) ).
thf(zip_derived_cl284,plain,
( ! [X0: $i] :
( ~ ( s @ X0 )
| ~ ( s @ ( sk__23 @ X0 ) ) )
<= ! [X0: $i] :
~ ( zip_tseitin_7 @ ( sk__23 @ X0 ) @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl30,zip_derived_cl121]) ).
thf(zip_derived_cl294,plain,
( ! [X0: $i] :
~ ( s @ X0 )
<= ( ! [X1: $i] : ( s @ X1 )
& ! [X0: $i] :
~ ( zip_tseitin_7 @ ( sk__23 @ X0 ) @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl73,zip_derived_cl284]) ).
thf(zip_derived_cl73_041,plain,
( ! [X1: $i] : ( s @ X1 )
<= ! [X1: $i] : ( s @ X1 ) ),
inference(split,[status(esa)],[zip_derived_cl13]) ).
thf('70',plain,
( ~ ! [X1: $i] : ( s @ X1 )
| ~ ! [X0: $i] :
~ ( zip_tseitin_7 @ ( sk__23 @ X0 ) @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl294,zip_derived_cl73]) ).
thf(zip_derived_cl73_042,plain,
( ! [X1: $i] : ( s @ X1 )
<= ! [X1: $i] : ( s @ X1 ) ),
inference(split,[status(esa)],[zip_derived_cl13]) ).
thf(zip_derived_cl30_043,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_7 @ X0 @ X1 )
| ~ ( s @ X0 )
| ~ ( s @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_6]) ).
thf(zip_derived_cl124_044,plain,
( ! [X0: $i] :
~ ( zip_tseitin_7 @ ( sk__20 @ X0 ) @ X0 )
<= ! [X0: $i] :
~ ( zip_tseitin_7 @ ( sk__20 @ X0 ) @ X0 ) ),
inference(split,[status(esa)],[zip_derived_cl38]) ).
thf(zip_derived_cl283,plain,
( ! [X0: $i] :
( ~ ( s @ X0 )
| ~ ( s @ ( sk__20 @ X0 ) ) )
<= ! [X0: $i] :
~ ( zip_tseitin_7 @ ( sk__20 @ X0 ) @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl30,zip_derived_cl124]) ).
thf(zip_derived_cl290,plain,
( ! [X0: $i] :
~ ( s @ X0 )
<= ( ! [X1: $i] : ( s @ X1 )
& ! [X0: $i] :
~ ( zip_tseitin_7 @ ( sk__20 @ X0 ) @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl73,zip_derived_cl283]) ).
thf(zip_derived_cl73_045,plain,
( ! [X1: $i] : ( s @ X1 )
<= ! [X1: $i] : ( s @ X1 ) ),
inference(split,[status(esa)],[zip_derived_cl13]) ).
thf('71',plain,
( ~ ! [X0: $i] :
~ ( zip_tseitin_7 @ ( sk__20 @ X0 ) @ X0 )
| ~ ! [X1: $i] : ( s @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl290,zip_derived_cl73]) ).
thf(zip_derived_cl73_046,plain,
( ! [X1: $i] : ( s @ X1 )
<= ! [X1: $i] : ( s @ X1 ) ),
inference(split,[status(esa)],[zip_derived_cl13]) ).
thf(zip_derived_cl72,plain,
( ~ ( s @ sk__7 )
<= ~ ( s @ sk__7 ) ),
inference(split,[status(esa)],[zip_derived_cl12]) ).
thf('72',plain,
( ( s @ sk__7 )
| ~ ! [X1: $i] : ( s @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl73,zip_derived_cl72]) ).
thf(zip_derived_cl73_047,plain,
( ! [X1: $i] : ( s @ X1 )
<= ! [X1: $i] : ( s @ X1 ) ),
inference(split,[status(esa)],[zip_derived_cl13]) ).
thf(zip_derived_cl77,plain,
( ~ ( s @ sk__4 )
<= ~ ( s @ sk__4 ) ),
inference(split,[status(esa)],[zip_derived_cl14]) ).
thf('73',plain,
( ~ ! [X1: $i] : ( s @ X1 )
| ( s @ sk__4 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl73,zip_derived_cl77]) ).
thf(zip_derived_cl73_048,plain,
( ! [X1: $i] : ( s @ X1 )
<= ! [X1: $i] : ( s @ X1 ) ),
inference(split,[status(esa)],[zip_derived_cl13]) ).
thf(zip_derived_cl98_049,plain,
( ! [X0: $i] :
~ ( s @ X0 )
<= ! [X0: $i] :
~ ( s @ X0 ) ),
inference(split,[status(esa)],[zip_derived_cl25]) ).
thf('74',plain,
( ~ ! [X1: $i] : ( s @ X1 )
| ~ ! [X0: $i] :
~ ( s @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl73,zip_derived_cl98]) ).
thf('75',plain,
( ~ zip_tseitin_6
| ! [X1: $i] : ( p @ X1 )
| ! [X0: $i] :
~ ( s @ X0 ) ),
inference(split,[status(esa)],[zip_derived_cl25]) ).
thf(zip_derived_cl61_050,plain,
( ! [X1: $i] : ( r @ X1 )
<= ! [X1: $i] : ( r @ X1 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf(zip_derived_cl145_051,plain,
( ! [X0: $i] :
~ ( zip_tseitin_5 @ ( sk__27 @ X0 ) @ X0 )
<= ! [X0: $i] :
~ ( zip_tseitin_5 @ ( sk__27 @ X0 ) @ X0 ) ),
inference(split,[status(esa)],[zip_derived_cl45]) ).
thf(zip_derived_cl22_052,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_5 @ X0 @ X1 )
| ~ ( r @ X0 )
| ~ ( r @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl227,plain,
( ! [X0: $i] :
( ~ ( r @ ( sk__27 @ X0 ) )
| ~ ( r @ X0 ) )
<= ! [X0: $i] :
~ ( zip_tseitin_5 @ ( sk__27 @ X0 ) @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl145,zip_derived_cl22]) ).
thf(zip_derived_cl269,plain,
( ! [X0: $i] :
~ ( r @ X0 )
<= ( ! [X1: $i] : ( r @ X1 )
& ! [X0: $i] :
~ ( zip_tseitin_5 @ ( sk__27 @ X0 ) @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl61,zip_derived_cl227]) ).
thf(zip_derived_cl61_053,plain,
( ! [X1: $i] : ( r @ X1 )
<= ! [X1: $i] : ( r @ X1 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf('76',plain,
( ~ ! [X1: $i] : ( r @ X1 )
| ~ ! [X0: $i] :
~ ( zip_tseitin_5 @ ( sk__27 @ X0 ) @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl269,zip_derived_cl61]) ).
thf(zip_derived_cl61_054,plain,
( ! [X1: $i] : ( r @ X1 )
<= ! [X1: $i] : ( r @ X1 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf(zip_derived_cl60,plain,
( ~ ( r @ sk__3 )
<= ~ ( r @ sk__3 ) ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
thf('77',plain,
( ~ ! [X1: $i] : ( r @ X1 )
| ( r @ sk__3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl61,zip_derived_cl60]) ).
thf(zip_derived_cl61_055,plain,
( ! [X1: $i] : ( r @ X1 )
<= ! [X1: $i] : ( r @ X1 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf(zip_derived_cl65,plain,
( ~ ( r @ sk_ )
<= ~ ( r @ sk_ ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf('78',plain,
( ~ ! [X1: $i] : ( r @ X1 )
| ( r @ sk_ ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl61,zip_derived_cl65]) ).
thf(zip_derived_cl61_056,plain,
( ! [X1: $i] : ( r @ X1 )
<= ! [X1: $i] : ( r @ X1 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf(zip_derived_cl74_057,plain,
( ! [X0: $i] :
~ ( r @ X0 )
<= ! [X0: $i] :
~ ( r @ X0 ) ),
inference(split,[status(esa)],[zip_derived_cl13]) ).
thf('79',plain,
( ~ ! [X1: $i] : ( r @ X1 )
| ~ ! [X0: $i] :
~ ( r @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl61,zip_derived_cl74]) ).
thf(zip_derived_cl85_058,plain,
( ! [X0: $i] :
~ ( zip_tseitin_2 @ ( sk__11 @ X0 ) @ X0 )
<= ! [X0: $i] :
~ ( zip_tseitin_2 @ ( sk__11 @ X0 ) @ X0 ) ),
inference(split,[status(esa)],[zip_derived_cl17]) ).
thf(zip_derived_cl10,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_2 @ X0 @ X1 )
| ~ ( q @ X0 )
| ~ ( q @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_4]) ).
thf(zip_derived_cl198,plain,
( ! [X0: $i] :
( ~ ( q @ ( sk__11 @ X0 ) )
| ~ ( q @ X0 ) )
<= ! [X0: $i] :
~ ( zip_tseitin_2 @ ( sk__11 @ X0 ) @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl85,zip_derived_cl10]) ).
thf(zip_derived_cl109_059,plain,
( ! [X1: $i] : ( q @ X1 )
<= ! [X1: $i] : ( q @ X1 ) ),
inference(split,[status(esa)],[zip_derived_cl33]) ).
thf(zip_derived_cl262,plain,
( ! [X0: $i] :
~ ( q @ X0 )
<= ( ! [X0: $i] :
~ ( zip_tseitin_2 @ ( sk__11 @ X0 ) @ X0 )
& ! [X1: $i] : ( q @ X1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl198,zip_derived_cl109]) ).
thf(zip_derived_cl109_060,plain,
( ! [X1: $i] : ( q @ X1 )
<= ! [X1: $i] : ( q @ X1 ) ),
inference(split,[status(esa)],[zip_derived_cl33]) ).
thf('80',plain,
( ~ ! [X0: $i] :
~ ( zip_tseitin_2 @ ( sk__11 @ X0 ) @ X0 )
| ~ ! [X1: $i] : ( q @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl262,zip_derived_cl109]) ).
thf(zip_derived_cl88_061,plain,
( ! [X0: $i] :
~ ( zip_tseitin_2 @ ( sk__8 @ X0 ) @ X0 )
<= ! [X0: $i] :
~ ( zip_tseitin_2 @ ( sk__8 @ X0 ) @ X0 ) ),
inference(split,[status(esa)],[zip_derived_cl18]) ).
thf(zip_derived_cl10_062,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_2 @ X0 @ X1 )
| ~ ( q @ X0 )
| ~ ( q @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_4]) ).
thf(zip_derived_cl212,plain,
( ! [X0: $i] :
( ~ ( q @ ( sk__8 @ X0 ) )
| ~ ( q @ X0 ) )
<= ! [X0: $i] :
~ ( zip_tseitin_2 @ ( sk__8 @ X0 ) @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl88,zip_derived_cl10]) ).
thf(zip_derived_cl109_063,plain,
( ! [X1: $i] : ( q @ X1 )
<= ! [X1: $i] : ( q @ X1 ) ),
inference(split,[status(esa)],[zip_derived_cl33]) ).
thf(zip_derived_cl261,plain,
( ! [X0: $i] :
~ ( q @ X0 )
<= ( ! [X0: $i] :
~ ( zip_tseitin_2 @ ( sk__8 @ X0 ) @ X0 )
& ! [X1: $i] : ( q @ X1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl212,zip_derived_cl109]) ).
thf(zip_derived_cl109_064,plain,
( ! [X1: $i] : ( q @ X1 )
<= ! [X1: $i] : ( q @ X1 ) ),
inference(split,[status(esa)],[zip_derived_cl33]) ).
thf('81',plain,
( ~ ! [X0: $i] :
~ ( zip_tseitin_2 @ ( sk__8 @ X0 ) @ X0 )
| ~ ! [X1: $i] : ( q @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl261,zip_derived_cl109]) ).
thf(zip_derived_cl109_065,plain,
( ! [X1: $i] : ( q @ X1 )
<= ! [X1: $i] : ( q @ X1 ) ),
inference(split,[status(esa)],[zip_derived_cl33]) ).
thf(zip_derived_cl113,plain,
( ~ ( q @ sk__16 )
<= ~ ( q @ sk__16 ) ),
inference(split,[status(esa)],[zip_derived_cl34]) ).
thf('82',plain,
( ( q @ sk__16 )
| ~ ! [X1: $i] : ( q @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl109,zip_derived_cl113]) ).
thf(zip_derived_cl91_066,plain,
( ! [X0: $i] : ( zip_tseitin_2 @ X0 @ sk__9 )
<= ! [X0: $i] : ( zip_tseitin_2 @ X0 @ sk__9 ) ),
inference(split,[status(esa)],[zip_derived_cl19]) ).
thf(zip_derived_cl8_067,plain,
! [X0: $i,X1: $i] :
( ~ ( q @ X0 )
| ( q @ X1 )
| ~ ( zip_tseitin_2 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_4]) ).
thf(zip_derived_cl325,plain,
( ! [X0: $i] :
( ~ ( q @ X0 )
| ( q @ sk__9 ) )
<= ! [X0: $i] : ( zip_tseitin_2 @ X0 @ sk__9 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl91,zip_derived_cl8]) ).
thf('83',plain,
( ( q @ sk__9 )
| ~ ! [X0: $i] : ( zip_tseitin_2 @ X0 @ sk__9 )
| ! [X0: $i] :
~ ( q @ X0 ) ),
inference(split,[status(esa)],[zip_derived_cl325]) ).
thf(zip_derived_cl118,plain,
( ! [X0: $i] : ( zip_tseitin_7 @ X0 @ sk__22 )
<= ! [X0: $i] : ( zip_tseitin_7 @ X0 @ sk__22 ) ),
inference(split,[status(esa)],[zip_derived_cl36]) ).
thf(zip_derived_cl28_068,plain,
! [X0: $i,X1: $i] :
( ~ ( s @ X0 )
| ( s @ X1 )
| ~ ( zip_tseitin_7 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_6]) ).
thf(zip_derived_cl333,plain,
( ! [X0: $i] :
( ~ ( s @ X0 )
| ( s @ sk__22 ) )
<= ! [X0: $i] : ( zip_tseitin_7 @ X0 @ sk__22 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl118,zip_derived_cl28]) ).
thf('84',plain,
( ~ ! [X0: $i] : ( zip_tseitin_7 @ X0 @ sk__22 )
| ! [X0: $i] :
~ ( s @ X0 )
| ( s @ sk__22 ) ),
inference(split,[status(esa)],[zip_derived_cl333]) ).
thf(zip_derived_cl118_069,plain,
( ! [X0: $i] : ( zip_tseitin_7 @ X0 @ sk__22 )
<= ! [X0: $i] : ( zip_tseitin_7 @ X0 @ sk__22 ) ),
inference(split,[status(esa)],[zip_derived_cl36]) ).
thf(zip_derived_cl29_070,plain,
! [X0: $i,X1: $i] :
( ~ ( s @ X0 )
| ( s @ X1 )
| ~ ( zip_tseitin_7 @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_6]) ).
thf(zip_derived_cl334,plain,
( ! [X0: $i] :
( ~ ( s @ sk__22 )
| ( s @ X0 ) )
<= ! [X0: $i] : ( zip_tseitin_7 @ X0 @ sk__22 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl118,zip_derived_cl29]) ).
thf('85',plain,
( ~ ( s @ sk__22 )
| ~ ! [X0: $i] : ( zip_tseitin_7 @ X0 @ sk__22 )
| ! [X1: $i] : ( s @ X1 ) ),
inference(split,[status(esa)],[zip_derived_cl334]) ).
thf(zip_derived_cl178_071,plain,
( ! [X0: $i] : ( zip_tseitin_0 @ X0 @ sk__29 )
<= ! [X0: $i] : ( zip_tseitin_0 @ X0 @ sk__29 ) ),
inference(split,[status(esa)],[zip_derived_cl56]) ).
thf(zip_derived_cl1,plain,
! [X0: $i,X1: $i] :
( ~ ( p @ X0 )
| ( p @ X1 )
| ~ ( zip_tseitin_0 @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_27]) ).
thf(zip_derived_cl386,plain,
( ! [X0: $i] :
( ~ ( p @ sk__29 )
| ( p @ X0 ) )
<= ! [X0: $i] : ( zip_tseitin_0 @ X0 @ sk__29 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl178,zip_derived_cl1]) ).
thf('86',plain,
( ~ ( p @ sk__29 )
| ! [X1: $i] : ( p @ X1 )
| ~ ! [X0: $i] : ( zip_tseitin_0 @ X0 @ sk__29 ) ),
inference(split,[status(esa)],[zip_derived_cl386]) ).
thf(zip_derived_cl109_072,plain,
( ! [X1: $i] : ( q @ X1 )
<= ! [X1: $i] : ( q @ X1 ) ),
inference(split,[status(esa)],[zip_derived_cl33]) ).
thf(zip_derived_cl62_073,plain,
( ! [X0: $i] :
~ ( q @ X0 )
<= ! [X0: $i] :
~ ( q @ X0 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf('87',plain,
( ~ ! [X0: $i] :
~ ( q @ X0 )
| ~ ! [X1: $i] : ( q @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl109,zip_derived_cl62]) ).
thf('88',plain,
( ~ zip_tseitin_1
| ! [X0: $i] :
~ ( q @ X0 )
| ! [X1: $i] : ( r @ X1 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf(zip_derived_cl55,plain,
( zip_tseitin_13
| zip_tseitin_12
| zip_tseitin_1 ),
inference(cnf,[status(esa)],[zf_stmt_12]) ).
thf('89',plain,
( zip_tseitin_12
| zip_tseitin_1
| zip_tseitin_13 ),
inference(split,[status(esa)],[zip_derived_cl55]) ).
thf(zip_derived_cl48,plain,
( ~ zip_tseitin_11
| zip_tseitin_4
| ~ zip_tseitin_12 ),
inference(cnf,[status(esa)],[zf_stmt_9]) ).
thf('90',plain,
( ~ zip_tseitin_11
| ~ zip_tseitin_12
| zip_tseitin_4 ),
inference(split,[status(esa)],[zip_derived_cl48]) ).
thf(zip_derived_cl47,plain,
! [X0: $i] :
( zip_tseitin_11
| zip_tseitin_10
| ( zip_tseitin_5 @ X0 @ sk__25 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf('91',plain,
( ! [X0: $i] : ( zip_tseitin_5 @ X0 @ sk__25 )
| zip_tseitin_11
| zip_tseitin_10 ),
inference(split,[status(esa)],[zip_derived_cl47]) ).
thf(zip_derived_cl151,plain,
( ! [X0: $i] : ( zip_tseitin_5 @ X0 @ sk__25 )
<= ! [X0: $i] : ( zip_tseitin_5 @ X0 @ sk__25 ) ),
inference(split,[status(esa)],[zip_derived_cl47]) ).
thf(zip_derived_cl21_074,plain,
! [X0: $i,X1: $i] :
( ~ ( r @ X0 )
| ( r @ X1 )
| ~ ( zip_tseitin_5 @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl366,plain,
( ! [X0: $i] :
( ~ ( r @ sk__25 )
| ( r @ X0 ) )
<= ! [X0: $i] : ( zip_tseitin_5 @ X0 @ sk__25 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl151,zip_derived_cl21]) ).
thf('92',plain,
( ~ ( r @ sk__25 )
| ~ ! [X0: $i] : ( zip_tseitin_5 @ X0 @ sk__25 )
| ! [X1: $i] : ( r @ X1 ) ),
inference(split,[status(esa)],[zip_derived_cl366]) ).
thf(zip_derived_cl151_075,plain,
( ! [X0: $i] : ( zip_tseitin_5 @ X0 @ sk__25 )
<= ! [X0: $i] : ( zip_tseitin_5 @ X0 @ sk__25 ) ),
inference(split,[status(esa)],[zip_derived_cl47]) ).
thf(zip_derived_cl20_076,plain,
! [X0: $i,X1: $i] :
( ~ ( r @ X0 )
| ( r @ X1 )
| ~ ( zip_tseitin_5 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl365,plain,
( ! [X0: $i] :
( ~ ( r @ X0 )
| ( r @ sk__25 ) )
<= ! [X0: $i] : ( zip_tseitin_5 @ X0 @ sk__25 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl151,zip_derived_cl20]) ).
thf('93',plain,
( ( r @ sk__25 )
| ~ ! [X0: $i] : ( zip_tseitin_5 @ X0 @ sk__25 )
| ! [X0: $i] :
~ ( r @ X0 ) ),
inference(split,[status(esa)],[zip_derived_cl365]) ).
thf(zip_derived_cl475,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','28','29','30','31','32','33','34','35','36','37','38','39','40','41','42','43','44','45','46','47','48','49','50','51','52','53','54','55','56','57','58','59','60','61','62','63','64','65','66','67','68','69','70','71','72','73','74','75','76','77','78','79','80','81','82','83','84','85','86','87','88','89','90','91','92','93']) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN723+1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.ELsjs2nR4y true
% 0.14/0.34 % Computer : n025.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Sat Aug 26 20:31:38 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.14/0.35 % Python version: Python 3.6.8
% 0.14/0.35 % Running in FO mode
% 0.20/0.66 % Total configuration time : 435
% 0.20/0.66 % Estimated wc time : 1092
% 0.20/0.66 % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.71 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.54/0.73 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.54/0.74 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.54/0.74 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.54/0.74 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.54/0.75 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.54/0.77 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.55/0.82 % Solved by fo/fo1_av.sh.
% 0.55/0.82 % done 294 iterations in 0.057s
% 0.55/0.82 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.55/0.82 % SZS output start Refutation
% See solution above
% 0.55/0.82
% 0.55/0.82
% 0.55/0.82 % Terminating...
% 1.52/0.93 % Runner terminated.
% 1.52/0.95 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------