TSTP Solution File: SYN036^5 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SYN036^5 : TPTP v8.1.2. Released v4.0.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.zQlBTY75Tk true
% Computer : n001.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 04:01:13 EDT 2023
% Result : Theorem 1.79s 0.89s
% Output : Refutation 1.79s
% Verified :
% SZS Type : Refutation
% Derivation depth : 85
% Number of leaves : 38
% Syntax : Number of formulae : 256 ( 16 unt; 30 typ; 0 def)
% Number of atoms : 673 ( 0 equ; 0 cnn)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 1026 ( 178 ~; 426 |; 0 &; 401 @)
% ( 21 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 14 ( 14 >; 0 *; 0 +; 0 <<)
% Number of symbols : 25 ( 24 usr; 17 con; 0-2 aty)
% Number of variables : 228 ( 0 ^; 220 !; 8 ?; 228 :)
% Comments :
%------------------------------------------------------------------------------
thf(zip_tseitin_3_type,type,
zip_tseitin_3: $i > $i > $o ).
thf(sk__2_type,type,
sk__2: $i ).
thf(sk__5_type,type,
sk__5: $i ).
thf(sk__13_type,type,
sk__13: $i ).
thf(zip_tseitin_1_type,type,
zip_tseitin_1: $o ).
thf(cQ_type,type,
cQ: $i > $o ).
thf(sk__9_type,type,
sk__9: $i ).
thf(sk__3_type,type,
sk__3: $i ).
thf(sk__12_type,type,
sk__12: $i > $i ).
thf(zip_tseitin_5_type,type,
zip_tseitin_5: $o ).
thf(sk__type,type,
sk_: $i ).
thf(sk__15_type,type,
sk__15: $i > $i ).
thf(sk__14_type,type,
sk__14: $i ).
thf(sk__4_type,type,
sk__4: $i > $i ).
thf(sk__1_type,type,
sk__1: $i ).
thf(sk__11_type,type,
sk__11: $i ).
thf(zip_tseitin_0_type,type,
zip_tseitin_0: $i > $i > $o ).
thf(cP_type,type,
cP: $i > $o ).
thf(sk__8_type,type,
sk__8: $i ).
thf(sk__7_type,type,
sk__7: $i > $i ).
thf(sk__10_type,type,
sk__10: $i ).
thf(zip_tseitin_2_type,type,
zip_tseitin_2: $o ).
thf(zip_tseitin_4_type,type,
zip_tseitin_4: $o ).
thf(sk__6_type,type,
sk__6: $i ).
thf(cX2129,conjecture,
( ( ? [Xx: $i] :
! [Xy: $i] :
( ( cP @ Xx )
<=> ( cP @ Xy ) )
<=> ( ? [Xx: $i] : ( cQ @ Xx )
<=> ! [Xy: $i] : ( cP @ Xy ) ) )
<=> ( ? [Xx: $i] :
! [Xy: $i] :
( ( cQ @ Xx )
<=> ( cQ @ Xy ) )
<=> ( ? [Xx: $i] : ( cP @ Xx )
<=> ! [Xy: $i] : ( cQ @ Xy ) ) ) ) ).
thf(zf_stmt_0,axiom,
( zip_tseitin_5
<=> ( ? [Xx: $i] :
! [Xy: $i] : ( zip_tseitin_3 @ Xy @ Xx )
<=> zip_tseitin_4 ) ) ).
thf(zip_derived_cl22,plain,
! [X0: $i] :
( zip_tseitin_5
| ~ zip_tseitin_4
| ~ ( zip_tseitin_3 @ ( sk__12 @ X0 ) @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zf_stmt_1,axiom,
( zip_tseitin_4
<=> ( ? [Xx: $i] : ( cP @ Xx )
<=> ! [Xy: $i] : ( cQ @ Xy ) ) ) ).
thf(zip_derived_cl19,plain,
! [X0: $i] :
( zip_tseitin_4
| ( cQ @ X0 )
| ( cP @ sk__9 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zf_stmt_2,axiom,
( zip_tseitin_1
<=> ( ? [Xx: $i] : ( cQ @ Xx )
<=> ! [Xy: $i] : ( cP @ Xy ) ) ) ).
thf(zip_derived_cl5,plain,
! [X0: $i,X1: $i] :
( ~ ( cQ @ X0 )
| ( cP @ X1 )
| ~ zip_tseitin_1 ),
inference(cnf,[status(esa)],[zf_stmt_2]) ).
thf(zf_stmt_3,axiom,
! [Xy: $i,Xx: $i] :
( ( zip_tseitin_3 @ Xy @ Xx )
<=> ( ( cQ @ Xx )
<=> ( cQ @ Xy ) ) ) ).
thf(zip_derived_cl14,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_3 @ X0 @ X1 )
| ~ ( cQ @ X0 )
| ~ ( cQ @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(zf_stmt_4,axiom,
! [Xy: $i,Xx: $i] :
( ( zip_tseitin_0 @ Xy @ Xx )
<=> ( ( cP @ Xx )
<=> ( cP @ Xy ) ) ) ).
thf(zip_derived_cl3,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_0 @ X0 @ X1 )
| ( cP @ X0 )
| ( cP @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_4]) ).
thf(zip_derived_cl15,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_3 @ X0 @ X1 )
| ( cQ @ X0 )
| ( cQ @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(zf_stmt_5,type,
zip_tseitin_5: $o ).
thf(zf_stmt_6,type,
zip_tseitin_4: $o ).
thf(zf_stmt_7,type,
zip_tseitin_3: $i > $i > $o ).
thf(zf_stmt_8,type,
zip_tseitin_2: $o ).
thf(zf_stmt_9,axiom,
( zip_tseitin_2
<=> ( ? [Xx: $i] :
! [Xy: $i] : ( zip_tseitin_0 @ Xy @ Xx )
<=> zip_tseitin_1 ) ) ).
thf(zf_stmt_10,type,
zip_tseitin_1: $o ).
thf(zf_stmt_11,type,
zip_tseitin_0: $i > $i > $o ).
thf(zf_stmt_12,conjecture,
( zip_tseitin_2
<=> zip_tseitin_5 ) ).
thf(zf_stmt_13,negated_conjecture,
~ ( zip_tseitin_2
<=> zip_tseitin_5 ),
inference('cnf.neg',[status(esa)],[zf_stmt_12]) ).
thf(zip_derived_cl24,plain,
( zip_tseitin_5
| zip_tseitin_2 ),
inference(cnf,[status(esa)],[zf_stmt_13]) ).
thf(zip_derived_cl21,plain,
! [X0: $i] :
( ~ ( zip_tseitin_3 @ ( sk__15 @ X0 ) @ X0 )
| zip_tseitin_4
| ~ zip_tseitin_5 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl59,plain,
! [X0: $i] :
( zip_tseitin_2
| zip_tseitin_4
| ~ ( zip_tseitin_3 @ ( sk__15 @ X0 ) @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl24,zip_derived_cl21]) ).
thf(zip_derived_cl119,plain,
! [X0: $i] :
( ( cQ @ X0 )
| ( cQ @ ( sk__15 @ X0 ) )
| zip_tseitin_4
| zip_tseitin_2 ),
inference('sup-',[status(thm)],[zip_derived_cl15,zip_derived_cl59]) ).
thf(zip_derived_cl19_001,plain,
! [X0: $i] :
( zip_tseitin_4
| ( cQ @ X0 )
| ( cP @ sk__9 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl14_002,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_3 @ X0 @ X1 )
| ~ ( cQ @ X0 )
| ~ ( cQ @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(zip_derived_cl59_003,plain,
! [X0: $i] :
( zip_tseitin_2
| zip_tseitin_4
| ~ ( zip_tseitin_3 @ ( sk__15 @ X0 ) @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl24,zip_derived_cl21]) ).
thf(zip_derived_cl120,plain,
! [X0: $i] :
( ~ ( cQ @ X0 )
| ~ ( cQ @ ( sk__15 @ X0 ) )
| zip_tseitin_4
| zip_tseitin_2 ),
inference('sup-',[status(thm)],[zip_derived_cl14,zip_derived_cl59]) ).
thf(zip_derived_cl154,plain,
! [X0: $i] :
( ( cP @ sk__9 )
| zip_tseitin_4
| zip_tseitin_2
| zip_tseitin_4
| ~ ( cQ @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl19,zip_derived_cl120]) ).
thf(zip_derived_cl159,plain,
! [X0: $i] :
( ~ ( cQ @ X0 )
| zip_tseitin_2
| zip_tseitin_4
| ( cP @ sk__9 ) ),
inference(simplify,[status(thm)],[zip_derived_cl154]) ).
thf(zip_derived_cl19_004,plain,
! [X0: $i] :
( zip_tseitin_4
| ( cQ @ X0 )
| ( cP @ sk__9 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl162,plain,
( ( cP @ sk__9 )
| zip_tseitin_4
| zip_tseitin_2 ),
inference(clc,[status(thm)],[zip_derived_cl159,zip_derived_cl19]) ).
thf(zip_derived_cl11,plain,
! [X0: $i] :
( zip_tseitin_2
| zip_tseitin_1
| ( zip_tseitin_0 @ X0 @ sk__5 ) ),
inference(cnf,[status(esa)],[zf_stmt_9]) ).
thf(zip_derived_cl0,plain,
! [X0: $i,X1: $i] :
( ~ ( cP @ X0 )
| ( cP @ X1 )
| ~ ( zip_tseitin_0 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_4]) ).
thf(zip_derived_cl35,plain,
! [X0: $i] :
( zip_tseitin_1
| zip_tseitin_2
| ( cP @ sk__5 )
| ~ ( cP @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl11,zip_derived_cl0]) ).
thf(zip_derived_cl163,plain,
( zip_tseitin_2
| zip_tseitin_4
| ( cP @ sk__5 )
| zip_tseitin_2
| zip_tseitin_1 ),
inference('sup-',[status(thm)],[zip_derived_cl162,zip_derived_cl35]) ).
thf(zip_derived_cl165,plain,
( zip_tseitin_1
| ( cP @ sk__5 )
| zip_tseitin_4
| zip_tseitin_2 ),
inference(simplify,[status(thm)],[zip_derived_cl163]) ).
thf(zip_derived_cl11_005,plain,
! [X0: $i] :
( zip_tseitin_2
| zip_tseitin_1
| ( zip_tseitin_0 @ X0 @ sk__5 ) ),
inference(cnf,[status(esa)],[zf_stmt_9]) ).
thf(zip_derived_cl1,plain,
! [X0: $i,X1: $i] :
( ~ ( cP @ X0 )
| ( cP @ X1 )
| ~ ( zip_tseitin_0 @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_4]) ).
thf(zip_derived_cl45,plain,
! [X0: $i] :
( zip_tseitin_1
| zip_tseitin_2
| ( cP @ X0 )
| ~ ( cP @ sk__5 ) ),
inference('sup-',[status(thm)],[zip_derived_cl11,zip_derived_cl1]) ).
thf(zip_derived_cl168,plain,
! [X0: $i] :
( zip_tseitin_2
| zip_tseitin_4
| zip_tseitin_1
| ( cP @ X0 )
| zip_tseitin_2
| zip_tseitin_1 ),
inference('sup-',[status(thm)],[zip_derived_cl165,zip_derived_cl45]) ).
thf(zip_derived_cl172,plain,
! [X0: $i] :
( ( cP @ X0 )
| zip_tseitin_1
| zip_tseitin_4
| zip_tseitin_2 ),
inference(simplify,[status(thm)],[zip_derived_cl168]) ).
thf(zip_derived_cl6,plain,
! [X0: $i] :
( zip_tseitin_1
| ~ ( cP @ sk_ )
| ~ ( cQ @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_2]) ).
thf(zip_derived_cl181,plain,
! [X0: $i] :
( zip_tseitin_2
| zip_tseitin_4
| zip_tseitin_1
| ~ ( cQ @ X0 )
| zip_tseitin_1 ),
inference('sup-',[status(thm)],[zip_derived_cl172,zip_derived_cl6]) ).
thf(zip_derived_cl194,plain,
! [X0: $i] :
( ~ ( cQ @ X0 )
| zip_tseitin_1
| zip_tseitin_4
| zip_tseitin_2 ),
inference(simplify,[status(thm)],[zip_derived_cl181]) ).
thf(zip_derived_cl199,plain,
! [X0: $i] :
( zip_tseitin_2
| zip_tseitin_4
| ( cQ @ X0 )
| zip_tseitin_2
| zip_tseitin_4
| zip_tseitin_1 ),
inference('sup-',[status(thm)],[zip_derived_cl119,zip_derived_cl194]) ).
thf(zip_derived_cl207,plain,
! [X0: $i] :
( zip_tseitin_1
| ( cQ @ X0 )
| zip_tseitin_4
| zip_tseitin_2 ),
inference(simplify,[status(thm)],[zip_derived_cl199]) ).
thf(zip_derived_cl194_006,plain,
! [X0: $i] :
( ~ ( cQ @ X0 )
| zip_tseitin_1
| zip_tseitin_4
| zip_tseitin_2 ),
inference(simplify,[status(thm)],[zip_derived_cl181]) ).
thf(zip_derived_cl224,plain,
( zip_tseitin_2
| zip_tseitin_4
| zip_tseitin_1 ),
inference(clc,[status(thm)],[zip_derived_cl207,zip_derived_cl194]) ).
thf(zip_derived_cl9,plain,
! [X0: $i] :
( ~ ( zip_tseitin_0 @ ( sk__7 @ X0 ) @ X0 )
| zip_tseitin_1
| ~ zip_tseitin_2 ),
inference(cnf,[status(esa)],[zf_stmt_9]) ).
thf(zip_derived_cl226,plain,
! [X0: $i] :
( zip_tseitin_1
| zip_tseitin_4
| zip_tseitin_1
| ~ ( zip_tseitin_0 @ ( sk__7 @ X0 ) @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl224,zip_derived_cl9]) ).
thf(zip_derived_cl227,plain,
! [X0: $i] :
( ~ ( zip_tseitin_0 @ ( sk__7 @ X0 ) @ X0 )
| zip_tseitin_4
| zip_tseitin_1 ),
inference(simplify,[status(thm)],[zip_derived_cl226]) ).
thf(zip_derived_cl237,plain,
! [X0: $i] :
( ( cP @ X0 )
| ( cP @ ( sk__7 @ X0 ) )
| zip_tseitin_1
| zip_tseitin_4 ),
inference('sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl227]) ).
thf(zip_derived_cl7,plain,
! [X0: $i] :
( zip_tseitin_1
| ( cP @ X0 )
| ( cQ @ sk__1 ) ),
inference(cnf,[status(esa)],[zf_stmt_2]) ).
thf(zip_derived_cl2,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_0 @ X0 @ X1 )
| ~ ( cP @ X0 )
| ~ ( cP @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_4]) ).
thf(zip_derived_cl227_007,plain,
! [X0: $i] :
( ~ ( zip_tseitin_0 @ ( sk__7 @ X0 ) @ X0 )
| zip_tseitin_4
| zip_tseitin_1 ),
inference(simplify,[status(thm)],[zip_derived_cl226]) ).
thf(zip_derived_cl238,plain,
! [X0: $i] :
( ~ ( cP @ X0 )
| ~ ( cP @ ( sk__7 @ X0 ) )
| zip_tseitin_1
| zip_tseitin_4 ),
inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl227]) ).
thf(zip_derived_cl248,plain,
! [X0: $i] :
( ( cQ @ sk__1 )
| zip_tseitin_1
| zip_tseitin_4
| zip_tseitin_1
| ~ ( cP @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl7,zip_derived_cl238]) ).
thf(zip_derived_cl251,plain,
! [X0: $i] :
( ~ ( cP @ X0 )
| zip_tseitin_4
| zip_tseitin_1
| ( cQ @ sk__1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl248]) ).
thf(zip_derived_cl7_008,plain,
! [X0: $i] :
( zip_tseitin_1
| ( cP @ X0 )
| ( cQ @ sk__1 ) ),
inference(cnf,[status(esa)],[zf_stmt_2]) ).
thf(zip_derived_cl253,plain,
( ( cQ @ sk__1 )
| zip_tseitin_1
| zip_tseitin_4 ),
inference(clc,[status(thm)],[zip_derived_cl251,zip_derived_cl7]) ).
thf(zip_derived_cl23,plain,
! [X0: $i] :
( zip_tseitin_5
| zip_tseitin_4
| ( zip_tseitin_3 @ X0 @ sk__13 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl12,plain,
! [X0: $i,X1: $i] :
( ~ ( cQ @ X0 )
| ( cQ @ X1 )
| ~ ( zip_tseitin_3 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(zip_derived_cl93,plain,
! [X0: $i] :
( zip_tseitin_4
| zip_tseitin_5
| ( cQ @ sk__13 )
| ~ ( cQ @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl23,zip_derived_cl12]) ).
thf(zip_derived_cl254,plain,
( zip_tseitin_4
| zip_tseitin_1
| ( cQ @ sk__13 )
| zip_tseitin_5
| zip_tseitin_4 ),
inference('sup-',[status(thm)],[zip_derived_cl253,zip_derived_cl93]) ).
thf(zip_derived_cl258,plain,
( zip_tseitin_5
| ( cQ @ sk__13 )
| zip_tseitin_1
| zip_tseitin_4 ),
inference(simplify,[status(thm)],[zip_derived_cl254]) ).
thf(zip_derived_cl23_009,plain,
! [X0: $i] :
( zip_tseitin_5
| zip_tseitin_4
| ( zip_tseitin_3 @ X0 @ sk__13 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl13,plain,
! [X0: $i,X1: $i] :
( ~ ( cQ @ X0 )
| ( cQ @ X1 )
| ~ ( zip_tseitin_3 @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(zip_derived_cl102,plain,
! [X0: $i] :
( zip_tseitin_4
| zip_tseitin_5
| ( cQ @ X0 )
| ~ ( cQ @ sk__13 ) ),
inference('sup-',[status(thm)],[zip_derived_cl23,zip_derived_cl13]) ).
thf(zip_derived_cl262,plain,
! [X0: $i] :
( zip_tseitin_4
| zip_tseitin_1
| zip_tseitin_5
| ( cQ @ X0 )
| zip_tseitin_5
| zip_tseitin_4 ),
inference('sup-',[status(thm)],[zip_derived_cl258,zip_derived_cl102]) ).
thf(zip_derived_cl268,plain,
! [X0: $i] :
( ( cQ @ X0 )
| zip_tseitin_5
| zip_tseitin_1
| zip_tseitin_4 ),
inference(simplify,[status(thm)],[zip_derived_cl262]) ).
thf(zip_derived_cl25,plain,
( ~ zip_tseitin_5
| ~ zip_tseitin_2 ),
inference(cnf,[status(esa)],[zf_stmt_13]) ).
thf(zip_derived_cl278,plain,
! [X0: $i] :
( zip_tseitin_4
| zip_tseitin_1
| ( cQ @ X0 )
| ~ zip_tseitin_2 ),
inference('sup-',[status(thm)],[zip_derived_cl268,zip_derived_cl25]) ).
thf(zip_derived_cl224_010,plain,
( zip_tseitin_2
| zip_tseitin_4
| zip_tseitin_1 ),
inference(clc,[status(thm)],[zip_derived_cl207,zip_derived_cl194]) ).
thf(zip_derived_cl307,plain,
! [X0: $i] :
( ( cQ @ X0 )
| zip_tseitin_1
| zip_tseitin_4 ),
inference(clc,[status(thm)],[zip_derived_cl278,zip_derived_cl224]) ).
thf(zip_derived_cl18,plain,
! [X0: $i] :
( zip_tseitin_4
| ~ ( cQ @ sk__8 )
| ~ ( cP @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl315,plain,
! [X0: $i] :
( zip_tseitin_4
| zip_tseitin_1
| ~ ( cP @ X0 )
| zip_tseitin_4 ),
inference('sup-',[status(thm)],[zip_derived_cl307,zip_derived_cl18]) ).
thf(zip_derived_cl329,plain,
! [X0: $i] :
( ~ ( cP @ X0 )
| zip_tseitin_1
| zip_tseitin_4 ),
inference(simplify,[status(thm)],[zip_derived_cl315]) ).
thf(zip_derived_cl410,plain,
! [X0: $i] :
( zip_tseitin_4
| zip_tseitin_1
| ( cP @ ( sk__7 @ X0 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl237,zip_derived_cl329]) ).
thf(zip_derived_cl329_011,plain,
! [X0: $i] :
( ~ ( cP @ X0 )
| zip_tseitin_1
| zip_tseitin_4 ),
inference(simplify,[status(thm)],[zip_derived_cl315]) ).
thf(zip_derived_cl411,plain,
( zip_tseitin_1
| zip_tseitin_4 ),
inference(clc,[status(thm)],[zip_derived_cl410,zip_derived_cl329]) ).
thf(zip_derived_cl22_012,plain,
! [X0: $i] :
( zip_tseitin_5
| ~ zip_tseitin_4
| ~ ( zip_tseitin_3 @ ( sk__12 @ X0 ) @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl413,plain,
! [X0: $i] :
( zip_tseitin_1
| ~ ( zip_tseitin_3 @ ( sk__12 @ X0 ) @ X0 )
| zip_tseitin_5 ),
inference('sup-',[status(thm)],[zip_derived_cl411,zip_derived_cl22]) ).
thf(zip_derived_cl531,plain,
! [X0: $i] :
( ~ ( cQ @ X0 )
| ~ ( cQ @ ( sk__12 @ X0 ) )
| zip_tseitin_5
| zip_tseitin_1 ),
inference('sup-',[status(thm)],[zip_derived_cl14,zip_derived_cl413]) ).
thf(zip_derived_cl3_013,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_0 @ X0 @ X1 )
| ( cP @ X0 )
| ( cP @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_4]) ).
thf(zip_derived_cl24_014,plain,
( zip_tseitin_5
| zip_tseitin_2 ),
inference(cnf,[status(esa)],[zf_stmt_13]) ).
thf(zip_derived_cl7_015,plain,
! [X0: $i] :
( zip_tseitin_1
| ( cP @ X0 )
| ( cQ @ sk__1 ) ),
inference(cnf,[status(esa)],[zf_stmt_2]) ).
thf(zip_derived_cl307_016,plain,
! [X0: $i] :
( ( cQ @ X0 )
| zip_tseitin_1
| zip_tseitin_4 ),
inference(clc,[status(thm)],[zip_derived_cl278,zip_derived_cl224]) ).
thf(zip_derived_cl17,plain,
! [X0: $i,X1: $i] :
( ~ ( cP @ X0 )
| ( cQ @ X1 )
| ~ zip_tseitin_4 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl310,plain,
! [X0: $i,X1: $i,X2: $i] :
( zip_tseitin_1
| ( cQ @ X2 )
| ( cQ @ X0 )
| ~ ( cP @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl307,zip_derived_cl17]) ).
thf(zip_derived_cl365,plain,
! [X0: $i,X1: $i] :
( zip_tseitin_1
| ~ ( cP @ X0 )
| ( cQ @ X1 ) ),
inference(condensation,[status(thm)],[zip_derived_cl310]) ).
thf(zip_derived_cl370,plain,
! [X1: $i] :
( ( cQ @ sk__1 )
| zip_tseitin_1
| ( cQ @ X1 )
| zip_tseitin_1 ),
inference('sup-',[status(thm)],[zip_derived_cl7,zip_derived_cl365]) ).
thf(zip_derived_cl376,plain,
! [X1: $i] :
( ( cQ @ X1 )
| zip_tseitin_1
| ( cQ @ sk__1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl370]) ).
thf(zip_derived_cl397,plain,
( ( cQ @ sk__1 )
| zip_tseitin_1 ),
inference(condensation,[status(thm)],[zip_derived_cl376]) ).
thf(zip_derived_cl411_017,plain,
( zip_tseitin_1
| zip_tseitin_4 ),
inference(clc,[status(thm)],[zip_derived_cl410,zip_derived_cl329]) ).
thf(zip_derived_cl24_018,plain,
( zip_tseitin_5
| zip_tseitin_2 ),
inference(cnf,[status(esa)],[zf_stmt_13]) ).
thf(zip_derived_cl20,plain,
! [X0: $i] :
( ~ zip_tseitin_4
| ( zip_tseitin_3 @ X0 @ sk__14 )
| ~ zip_tseitin_5 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl12_019,plain,
! [X0: $i,X1: $i] :
( ~ ( cQ @ X0 )
| ( cQ @ X1 )
| ~ ( zip_tseitin_3 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(zip_derived_cl92,plain,
! [X0: $i] :
( ~ zip_tseitin_5
| ~ zip_tseitin_4
| ( cQ @ sk__14 )
| ~ ( cQ @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl20,zip_derived_cl12]) ).
thf(zip_derived_cl100,plain,
! [X0: $i] :
( zip_tseitin_2
| ~ ( cQ @ X0 )
| ( cQ @ sk__14 )
| ~ zip_tseitin_4 ),
inference('sup-',[status(thm)],[zip_derived_cl24,zip_derived_cl92]) ).
thf(zip_derived_cl412,plain,
! [X0: $i] :
( zip_tseitin_1
| ( cQ @ sk__14 )
| ~ ( cQ @ X0 )
| zip_tseitin_2 ),
inference('sup-',[status(thm)],[zip_derived_cl411,zip_derived_cl100]) ).
thf(zip_derived_cl426,plain,
( zip_tseitin_1
| zip_tseitin_2
| ( cQ @ sk__14 )
| zip_tseitin_1 ),
inference('sup-',[status(thm)],[zip_derived_cl397,zip_derived_cl412]) ).
thf(zip_derived_cl436,plain,
( ( cQ @ sk__14 )
| zip_tseitin_2
| zip_tseitin_1 ),
inference(simplify,[status(thm)],[zip_derived_cl426]) ).
thf(zip_derived_cl20_020,plain,
! [X0: $i] :
( ~ zip_tseitin_4
| ( zip_tseitin_3 @ X0 @ sk__14 )
| ~ zip_tseitin_5 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl13_021,plain,
! [X0: $i,X1: $i] :
( ~ ( cQ @ X0 )
| ( cQ @ X1 )
| ~ ( zip_tseitin_3 @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(zip_derived_cl101,plain,
! [X0: $i] :
( ~ zip_tseitin_5
| ~ zip_tseitin_4
| ( cQ @ X0 )
| ~ ( cQ @ sk__14 ) ),
inference('sup-',[status(thm)],[zip_derived_cl20,zip_derived_cl13]) ).
thf(zip_derived_cl439,plain,
! [X0: $i] :
( zip_tseitin_1
| zip_tseitin_2
| ( cQ @ X0 )
| ~ zip_tseitin_4
| ~ zip_tseitin_5 ),
inference('sup-',[status(thm)],[zip_derived_cl436,zip_derived_cl101]) ).
thf(zip_derived_cl25_022,plain,
( ~ zip_tseitin_5
| ~ zip_tseitin_2 ),
inference(cnf,[status(esa)],[zf_stmt_13]) ).
thf(zip_derived_cl445,plain,
! [X0: $i] :
( ~ zip_tseitin_5
| ~ zip_tseitin_4
| ( cQ @ X0 )
| zip_tseitin_1 ),
inference(clc,[status(thm)],[zip_derived_cl439,zip_derived_cl25]) ).
thf(zip_derived_cl411_023,plain,
( zip_tseitin_1
| zip_tseitin_4 ),
inference(clc,[status(thm)],[zip_derived_cl410,zip_derived_cl329]) ).
thf(zip_derived_cl446,plain,
! [X0: $i] :
( zip_tseitin_1
| ( cQ @ X0 )
| ~ zip_tseitin_5 ),
inference(clc,[status(thm)],[zip_derived_cl445,zip_derived_cl411]) ).
thf(zip_derived_cl447,plain,
! [X0: $i] :
( zip_tseitin_2
| ( cQ @ X0 )
| zip_tseitin_1 ),
inference('sup-',[status(thm)],[zip_derived_cl24,zip_derived_cl446]) ).
thf(zip_derived_cl16,plain,
( ~ ( cQ @ sk__11 )
| ( cP @ sk__10 )
| ~ zip_tseitin_4 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl35_024,plain,
! [X0: $i] :
( zip_tseitin_1
| zip_tseitin_2
| ( cP @ sk__5 )
| ~ ( cP @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl11,zip_derived_cl0]) ).
thf(zip_derived_cl60,plain,
( ~ zip_tseitin_4
| ~ ( cQ @ sk__11 )
| ( cP @ sk__5 )
| zip_tseitin_2
| zip_tseitin_1 ),
inference('sup-',[status(thm)],[zip_derived_cl16,zip_derived_cl35]) ).
thf(zip_derived_cl194_025,plain,
! [X0: $i] :
( ~ ( cQ @ X0 )
| zip_tseitin_1
| zip_tseitin_4
| zip_tseitin_2 ),
inference(simplify,[status(thm)],[zip_derived_cl181]) ).
thf(zip_derived_cl220,plain,
( zip_tseitin_1
| zip_tseitin_2
| ( cP @ sk__5 )
| ~ ( cQ @ sk__11 ) ),
inference(clc,[status(thm)],[zip_derived_cl60,zip_derived_cl194]) ).
thf(zip_derived_cl5_026,plain,
! [X0: $i,X1: $i] :
( ~ ( cQ @ X0 )
| ( cP @ X1 )
| ~ zip_tseitin_1 ),
inference(cnf,[status(esa)],[zf_stmt_2]) ).
thf(zip_derived_cl221,plain,
( ~ ( cQ @ sk__11 )
| ( cP @ sk__5 )
| zip_tseitin_2 ),
inference(clc,[status(thm)],[zip_derived_cl220,zip_derived_cl5]) ).
thf(zip_derived_cl452,plain,
( zip_tseitin_1
| zip_tseitin_2
| zip_tseitin_2
| ( cP @ sk__5 ) ),
inference('sup-',[status(thm)],[zip_derived_cl447,zip_derived_cl221]) ).
thf(zip_derived_cl468,plain,
( ( cP @ sk__5 )
| zip_tseitin_2
| zip_tseitin_1 ),
inference(simplify,[status(thm)],[zip_derived_cl452]) ).
thf(zip_derived_cl45_027,plain,
! [X0: $i] :
( zip_tseitin_1
| zip_tseitin_2
| ( cP @ X0 )
| ~ ( cP @ sk__5 ) ),
inference('sup-',[status(thm)],[zip_derived_cl11,zip_derived_cl1]) ).
thf(zip_derived_cl475,plain,
! [X0: $i] :
( zip_tseitin_1
| zip_tseitin_2
| ( cP @ X0 )
| zip_tseitin_2
| zip_tseitin_1 ),
inference('sup-',[status(thm)],[zip_derived_cl468,zip_derived_cl45]) ).
thf(zip_derived_cl479,plain,
! [X0: $i] :
( ( cP @ X0 )
| zip_tseitin_2
| zip_tseitin_1 ),
inference(simplify,[status(thm)],[zip_derived_cl475]) ).
thf(zip_derived_cl6_028,plain,
! [X0: $i] :
( zip_tseitin_1
| ~ ( cP @ sk_ )
| ~ ( cQ @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_2]) ).
thf(zip_derived_cl495,plain,
! [X0: $i] :
( zip_tseitin_1
| zip_tseitin_2
| ~ ( cQ @ X0 )
| zip_tseitin_1 ),
inference('sup-',[status(thm)],[zip_derived_cl479,zip_derived_cl6]) ).
thf(zip_derived_cl506,plain,
! [X0: $i] :
( ~ ( cQ @ X0 )
| zip_tseitin_2
| zip_tseitin_1 ),
inference(simplify,[status(thm)],[zip_derived_cl495]) ).
thf(zip_derived_cl447_029,plain,
! [X0: $i] :
( zip_tseitin_2
| ( cQ @ X0 )
| zip_tseitin_1 ),
inference('sup-',[status(thm)],[zip_derived_cl24,zip_derived_cl446]) ).
thf(zip_derived_cl510,plain,
( zip_tseitin_1
| zip_tseitin_2 ),
inference(clc,[status(thm)],[zip_derived_cl506,zip_derived_cl447]) ).
thf(zip_derived_cl9_030,plain,
! [X0: $i] :
( ~ ( zip_tseitin_0 @ ( sk__7 @ X0 ) @ X0 )
| zip_tseitin_1
| ~ zip_tseitin_2 ),
inference(cnf,[status(esa)],[zf_stmt_9]) ).
thf(zip_derived_cl512,plain,
! [X0: $i] :
( zip_tseitin_1
| zip_tseitin_1
| ~ ( zip_tseitin_0 @ ( sk__7 @ X0 ) @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl510,zip_derived_cl9]) ).
thf(zip_derived_cl513,plain,
! [X0: $i] :
( ~ ( zip_tseitin_0 @ ( sk__7 @ X0 ) @ X0 )
| zip_tseitin_1 ),
inference(simplify,[status(thm)],[zip_derived_cl512]) ).
thf(zip_derived_cl519,plain,
! [X0: $i] :
( ( cP @ X0 )
| ( cP @ ( sk__7 @ X0 ) )
| zip_tseitin_1 ),
inference('sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl513]) ).
thf(zip_derived_cl365_031,plain,
! [X0: $i,X1: $i] :
( zip_tseitin_1
| ~ ( cP @ X0 )
| ( cQ @ X1 ) ),
inference(condensation,[status(thm)],[zip_derived_cl310]) ).
thf(zip_derived_cl541,plain,
! [X0: $i,X1: $i] :
( zip_tseitin_1
| ( cP @ X0 )
| ( cQ @ X1 )
| zip_tseitin_1 ),
inference('sup-',[status(thm)],[zip_derived_cl519,zip_derived_cl365]) ).
thf(zip_derived_cl545,plain,
! [X0: $i,X1: $i] :
( ( cQ @ X1 )
| ( cP @ X0 )
| zip_tseitin_1 ),
inference(simplify,[status(thm)],[zip_derived_cl541]) ).
thf(zip_derived_cl365_032,plain,
! [X0: $i,X1: $i] :
( zip_tseitin_1
| ~ ( cP @ X0 )
| ( cQ @ X1 ) ),
inference(condensation,[status(thm)],[zip_derived_cl310]) ).
thf(zip_derived_cl552,plain,
! [X1: $i] :
( zip_tseitin_1
| ( cQ @ X1 ) ),
inference(clc,[status(thm)],[zip_derived_cl545,zip_derived_cl365]) ).
thf(zip_derived_cl598,plain,
! [X0: $i] :
( zip_tseitin_1
| zip_tseitin_5
| ~ ( cQ @ ( sk__12 @ X0 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl531,zip_derived_cl552]) ).
thf(zip_derived_cl552_033,plain,
! [X1: $i] :
( zip_tseitin_1
| ( cQ @ X1 ) ),
inference(clc,[status(thm)],[zip_derived_cl545,zip_derived_cl365]) ).
thf(zip_derived_cl599,plain,
( zip_tseitin_5
| zip_tseitin_1 ),
inference(clc,[status(thm)],[zip_derived_cl598,zip_derived_cl552]) ).
thf(zip_derived_cl25_034,plain,
( ~ zip_tseitin_5
| ~ zip_tseitin_2 ),
inference(cnf,[status(esa)],[zf_stmt_13]) ).
thf(zip_derived_cl601,plain,
( zip_tseitin_1
| ~ zip_tseitin_2 ),
inference('sup-',[status(thm)],[zip_derived_cl599,zip_derived_cl25]) ).
thf(zip_derived_cl510_035,plain,
( zip_tseitin_1
| zip_tseitin_2 ),
inference(clc,[status(thm)],[zip_derived_cl506,zip_derived_cl447]) ).
thf(zip_derived_cl603,plain,
zip_tseitin_1,
inference(clc,[status(thm)],[zip_derived_cl601,zip_derived_cl510]) ).
thf(zip_derived_cl605,plain,
! [X0: $i,X1: $i] :
( ~ ( cQ @ X0 )
| ( cP @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl5,zip_derived_cl603]) ).
thf(zip_derived_cl620,plain,
! [X1: $i] :
( ( cP @ sk__9 )
| zip_tseitin_4
| ( cP @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl19,zip_derived_cl605]) ).
thf(zip_derived_cl639,plain,
( ( cP @ sk__9 )
| zip_tseitin_4 ),
inference(condensation,[status(thm)],[zip_derived_cl620]) ).
thf(zip_derived_cl119_036,plain,
! [X0: $i] :
( ( cQ @ X0 )
| ( cQ @ ( sk__15 @ X0 ) )
| zip_tseitin_4
| zip_tseitin_2 ),
inference('sup-',[status(thm)],[zip_derived_cl15,zip_derived_cl59]) ).
thf(zip_derived_cl605_037,plain,
! [X0: $i,X1: $i] :
( ~ ( cQ @ X0 )
| ( cP @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl5,zip_derived_cl603]) ).
thf(zip_derived_cl618,plain,
! [X0: $i,X1: $i] :
( zip_tseitin_2
| zip_tseitin_4
| ( cQ @ X0 )
| ( cP @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl119,zip_derived_cl605]) ).
thf(zip_derived_cl605_038,plain,
! [X0: $i,X1: $i] :
( ~ ( cQ @ X0 )
| ( cP @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl5,zip_derived_cl603]) ).
thf(zip_derived_cl644,plain,
! [X1: $i] :
( ( cP @ X1 )
| zip_tseitin_4
| zip_tseitin_2 ),
inference(clc,[status(thm)],[zip_derived_cl618,zip_derived_cl605]) ).
thf(zip_derived_cl2_039,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_0 @ X0 @ X1 )
| ~ ( cP @ X0 )
| ~ ( cP @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_4]) ).
thf(zip_derived_cl10,plain,
! [X0: $i] :
( zip_tseitin_2
| ~ zip_tseitin_1
| ~ ( zip_tseitin_0 @ ( sk__4 @ X0 ) @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_9]) ).
thf(zip_derived_cl603_040,plain,
zip_tseitin_1,
inference(clc,[status(thm)],[zip_derived_cl601,zip_derived_cl510]) ).
thf(zip_derived_cl607,plain,
! [X0: $i] :
( zip_tseitin_2
| ~ ( zip_tseitin_0 @ ( sk__4 @ X0 ) @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl10,zip_derived_cl603]) ).
thf(zip_derived_cl629,plain,
! [X0: $i] :
( ~ ( cP @ X0 )
| ~ ( cP @ ( sk__4 @ X0 ) )
| zip_tseitin_2 ),
inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl607]) ).
thf(zip_derived_cl647,plain,
! [X0: $i] :
( zip_tseitin_2
| zip_tseitin_4
| zip_tseitin_2
| ~ ( cP @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl644,zip_derived_cl629]) ).
thf(zip_derived_cl656,plain,
! [X0: $i] :
( ~ ( cP @ X0 )
| zip_tseitin_4
| zip_tseitin_2 ),
inference(simplify,[status(thm)],[zip_derived_cl647]) ).
thf(zip_derived_cl644_041,plain,
! [X1: $i] :
( ( cP @ X1 )
| zip_tseitin_4
| zip_tseitin_2 ),
inference(clc,[status(thm)],[zip_derived_cl618,zip_derived_cl605]) ).
thf(zip_derived_cl664,plain,
( zip_tseitin_2
| zip_tseitin_4 ),
inference(clc,[status(thm)],[zip_derived_cl656,zip_derived_cl644]) ).
thf(zip_derived_cl8,plain,
! [X0: $i] :
( ~ zip_tseitin_1
| ( zip_tseitin_0 @ X0 @ sk__6 )
| ~ zip_tseitin_2 ),
inference(cnf,[status(esa)],[zf_stmt_9]) ).
thf(zip_derived_cl0_042,plain,
! [X0: $i,X1: $i] :
( ~ ( cP @ X0 )
| ( cP @ X1 )
| ~ ( zip_tseitin_0 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_4]) ).
thf(zip_derived_cl56,plain,
! [X0: $i] :
( ~ zip_tseitin_2
| ~ zip_tseitin_1
| ( cP @ sk__6 )
| ~ ( cP @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl8,zip_derived_cl0]) ).
thf(zip_derived_cl603_043,plain,
zip_tseitin_1,
inference(clc,[status(thm)],[zip_derived_cl601,zip_derived_cl510]) ).
thf(zip_derived_cl609,plain,
! [X0: $i] :
( ~ zip_tseitin_2
| ( cP @ sk__6 )
| ~ ( cP @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl56,zip_derived_cl603]) ).
thf(zip_derived_cl665,plain,
! [X0: $i] :
( zip_tseitin_4
| ~ ( cP @ X0 )
| ( cP @ sk__6 ) ),
inference('sup-',[status(thm)],[zip_derived_cl664,zip_derived_cl609]) ).
thf(zip_derived_cl667,plain,
( zip_tseitin_4
| ( cP @ sk__6 )
| zip_tseitin_4 ),
inference('sup-',[status(thm)],[zip_derived_cl639,zip_derived_cl665]) ).
thf(zip_derived_cl675,plain,
( ( cP @ sk__6 )
| zip_tseitin_4 ),
inference(simplify,[status(thm)],[zip_derived_cl667]) ).
thf(zip_derived_cl8_044,plain,
! [X0: $i] :
( ~ zip_tseitin_1
| ( zip_tseitin_0 @ X0 @ sk__6 )
| ~ zip_tseitin_2 ),
inference(cnf,[status(esa)],[zf_stmt_9]) ).
thf(zip_derived_cl1_045,plain,
! [X0: $i,X1: $i] :
( ~ ( cP @ X0 )
| ( cP @ X1 )
| ~ ( zip_tseitin_0 @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_4]) ).
thf(zip_derived_cl55,plain,
! [X0: $i] :
( ~ zip_tseitin_2
| ~ zip_tseitin_1
| ( cP @ X0 )
| ~ ( cP @ sk__6 ) ),
inference('sup-',[status(thm)],[zip_derived_cl8,zip_derived_cl1]) ).
thf(zip_derived_cl603_046,plain,
zip_tseitin_1,
inference(clc,[status(thm)],[zip_derived_cl601,zip_derived_cl510]) ).
thf(zip_derived_cl608,plain,
! [X0: $i] :
( ~ zip_tseitin_2
| ( cP @ X0 )
| ~ ( cP @ sk__6 ) ),
inference(demod,[status(thm)],[zip_derived_cl55,zip_derived_cl603]) ).
thf(zip_derived_cl677,plain,
! [X0: $i] :
( zip_tseitin_4
| ( cP @ X0 )
| ~ zip_tseitin_2 ),
inference('sup-',[status(thm)],[zip_derived_cl675,zip_derived_cl608]) ).
thf(zip_derived_cl664_047,plain,
( zip_tseitin_2
| zip_tseitin_4 ),
inference(clc,[status(thm)],[zip_derived_cl656,zip_derived_cl644]) ).
thf(zip_derived_cl681,plain,
! [X0: $i] :
( ( cP @ X0 )
| zip_tseitin_4 ),
inference(clc,[status(thm)],[zip_derived_cl677,zip_derived_cl664]) ).
thf(zip_derived_cl4,plain,
( ~ ( cP @ sk__3 )
| ( cQ @ sk__2 )
| ~ zip_tseitin_1 ),
inference(cnf,[status(esa)],[zf_stmt_2]) ).
thf(zip_derived_cl603_048,plain,
zip_tseitin_1,
inference(clc,[status(thm)],[zip_derived_cl601,zip_derived_cl510]) ).
thf(zip_derived_cl604,plain,
( ~ ( cP @ sk__3 )
| ( cQ @ sk__2 ) ),
inference(demod,[status(thm)],[zip_derived_cl4,zip_derived_cl603]) ).
thf(zip_derived_cl687,plain,
( zip_tseitin_4
| ( cQ @ sk__2 ) ),
inference('sup-',[status(thm)],[zip_derived_cl681,zip_derived_cl604]) ).
thf(zip_derived_cl93_049,plain,
! [X0: $i] :
( zip_tseitin_4
| zip_tseitin_5
| ( cQ @ sk__13 )
| ~ ( cQ @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl23,zip_derived_cl12]) ).
thf(zip_derived_cl697,plain,
( zip_tseitin_4
| ( cQ @ sk__13 )
| zip_tseitin_5
| zip_tseitin_4 ),
inference('sup-',[status(thm)],[zip_derived_cl687,zip_derived_cl93]) ).
thf(zip_derived_cl700,plain,
( zip_tseitin_5
| ( cQ @ sk__13 )
| zip_tseitin_4 ),
inference(simplify,[status(thm)],[zip_derived_cl697]) ).
thf(zip_derived_cl102_050,plain,
! [X0: $i] :
( zip_tseitin_4
| zip_tseitin_5
| ( cQ @ X0 )
| ~ ( cQ @ sk__13 ) ),
inference('sup-',[status(thm)],[zip_derived_cl23,zip_derived_cl13]) ).
thf(zip_derived_cl706,plain,
! [X0: $i] :
( zip_tseitin_4
| zip_tseitin_5
| ( cQ @ X0 )
| zip_tseitin_5
| zip_tseitin_4 ),
inference('sup-',[status(thm)],[zip_derived_cl700,zip_derived_cl102]) ).
thf(zip_derived_cl710,plain,
! [X0: $i] :
( ( cQ @ X0 )
| zip_tseitin_5
| zip_tseitin_4 ),
inference(simplify,[status(thm)],[zip_derived_cl706]) ).
thf(zip_derived_cl25_051,plain,
( ~ zip_tseitin_5
| ~ zip_tseitin_2 ),
inference(cnf,[status(esa)],[zf_stmt_13]) ).
thf(zip_derived_cl726,plain,
! [X0: $i] :
( zip_tseitin_4
| ( cQ @ X0 )
| ~ zip_tseitin_2 ),
inference('sup-',[status(thm)],[zip_derived_cl710,zip_derived_cl25]) ).
thf(zip_derived_cl664_052,plain,
( zip_tseitin_2
| zip_tseitin_4 ),
inference(clc,[status(thm)],[zip_derived_cl656,zip_derived_cl644]) ).
thf(zip_derived_cl739,plain,
! [X0: $i] :
( ( cQ @ X0 )
| zip_tseitin_4 ),
inference(clc,[status(thm)],[zip_derived_cl726,zip_derived_cl664]) ).
thf(zip_derived_cl18_053,plain,
! [X0: $i] :
( zip_tseitin_4
| ~ ( cQ @ sk__8 )
| ~ ( cP @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl744,plain,
! [X0: $i] :
( zip_tseitin_4
| ~ ( cP @ X0 )
| zip_tseitin_4 ),
inference('sup-',[status(thm)],[zip_derived_cl739,zip_derived_cl18]) ).
thf(zip_derived_cl751,plain,
! [X0: $i] :
( ~ ( cP @ X0 )
| zip_tseitin_4 ),
inference(simplify,[status(thm)],[zip_derived_cl744]) ).
thf(zip_derived_cl681_054,plain,
! [X0: $i] :
( ( cP @ X0 )
| zip_tseitin_4 ),
inference(clc,[status(thm)],[zip_derived_cl677,zip_derived_cl664]) ).
thf(zip_derived_cl753,plain,
zip_tseitin_4,
inference(clc,[status(thm)],[zip_derived_cl751,zip_derived_cl681]) ).
thf(zip_derived_cl756,plain,
! [X0: $i] :
( zip_tseitin_5
| ~ ( zip_tseitin_3 @ ( sk__12 @ X0 ) @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl22,zip_derived_cl753]) ).
thf(zip_derived_cl25_055,plain,
( ~ zip_tseitin_5
| ~ zip_tseitin_2 ),
inference(cnf,[status(esa)],[zf_stmt_13]) ).
thf(zip_derived_cl3_056,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_0 @ X0 @ X1 )
| ( cP @ X0 )
| ( cP @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_4]) ).
thf(zip_derived_cl607_057,plain,
! [X0: $i] :
( zip_tseitin_2
| ~ ( zip_tseitin_0 @ ( sk__4 @ X0 ) @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl10,zip_derived_cl603]) ).
thf(zip_derived_cl628,plain,
! [X0: $i] :
( ( cP @ X0 )
| ( cP @ ( sk__4 @ X0 ) )
| zip_tseitin_2 ),
inference('sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl607]) ).
thf(zip_derived_cl681_058,plain,
! [X0: $i] :
( ( cP @ X0 )
| zip_tseitin_4 ),
inference(clc,[status(thm)],[zip_derived_cl677,zip_derived_cl664]) ).
thf(zip_derived_cl17_059,plain,
! [X0: $i,X1: $i] :
( ~ ( cP @ X0 )
| ( cQ @ X1 )
| ~ zip_tseitin_4 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl684,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( cP @ X2 )
| ( cQ @ X0 )
| ~ ( cP @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl681,zip_derived_cl17]) ).
thf(zip_derived_cl605_060,plain,
! [X0: $i,X1: $i] :
( ~ ( cQ @ X0 )
| ( cP @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl5,zip_derived_cl603]) ).
thf(zip_derived_cl714,plain,
! [X1: $i,X2: $i] :
( ~ ( cP @ X1 )
| ( cP @ X2 ) ),
inference(clc,[status(thm)],[zip_derived_cl684,zip_derived_cl605]) ).
thf(zip_derived_cl715,plain,
! [X0: $i,X1: $i] :
( zip_tseitin_2
| ( cP @ X0 )
| ( cP @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl628,zip_derived_cl714]) ).
thf(zip_derived_cl768,plain,
! [X0: $i] :
( zip_tseitin_2
| ( cP @ X0 ) ),
inference(condensation,[status(thm)],[zip_derived_cl715]) ).
thf(zip_derived_cl629_061,plain,
! [X0: $i] :
( ~ ( cP @ X0 )
| ~ ( cP @ ( sk__4 @ X0 ) )
| zip_tseitin_2 ),
inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl607]) ).
thf(zip_derived_cl769,plain,
! [X0: $i] :
( zip_tseitin_2
| zip_tseitin_2
| ~ ( cP @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl768,zip_derived_cl629]) ).
thf(zip_derived_cl777,plain,
! [X0: $i] :
( ~ ( cP @ X0 )
| zip_tseitin_2 ),
inference(simplify,[status(thm)],[zip_derived_cl769]) ).
thf(zip_derived_cl768_062,plain,
! [X0: $i] :
( zip_tseitin_2
| ( cP @ X0 ) ),
inference(condensation,[status(thm)],[zip_derived_cl715]) ).
thf(zip_derived_cl782,plain,
zip_tseitin_2,
inference(clc,[status(thm)],[zip_derived_cl777,zip_derived_cl768]) ).
thf(zip_derived_cl783,plain,
~ zip_tseitin_5,
inference(demod,[status(thm)],[zip_derived_cl25,zip_derived_cl782]) ).
thf(zip_derived_cl794,plain,
! [X0: $i] :
~ ( zip_tseitin_3 @ ( sk__12 @ X0 ) @ X0 ),
inference(demod,[status(thm)],[zip_derived_cl756,zip_derived_cl783]) ).
thf(zip_derived_cl14_063,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_3 @ X0 @ X1 )
| ~ ( cQ @ X0 )
| ~ ( cQ @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(zip_derived_cl17_064,plain,
! [X0: $i,X1: $i] :
( ~ ( cP @ X0 )
| ( cQ @ X1 )
| ~ zip_tseitin_4 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl753_065,plain,
zip_tseitin_4,
inference(clc,[status(thm)],[zip_derived_cl751,zip_derived_cl681]) ).
thf(zip_derived_cl754,plain,
! [X0: $i,X1: $i] :
( ~ ( cP @ X0 )
| ( cQ @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl17,zip_derived_cl753]) ).
thf(zip_derived_cl15_066,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_3 @ X0 @ X1 )
| ( cQ @ X0 )
| ( cQ @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(zip_derived_cl794_067,plain,
! [X0: $i] :
~ ( zip_tseitin_3 @ ( sk__12 @ X0 ) @ X0 ),
inference(demod,[status(thm)],[zip_derived_cl756,zip_derived_cl783]) ).
thf(zip_derived_cl795,plain,
! [X0: $i] :
( ( cQ @ X0 )
| ( cQ @ ( sk__12 @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl15,zip_derived_cl794]) ).
thf(zip_derived_cl605_068,plain,
! [X0: $i,X1: $i] :
( ~ ( cQ @ X0 )
| ( cP @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl5,zip_derived_cl603]) ).
thf(zip_derived_cl799,plain,
! [X0: $i,X1: $i] :
( ( cQ @ X0 )
| ( cP @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl795,zip_derived_cl605]) ).
thf(zip_derived_cl605_069,plain,
! [X0: $i,X1: $i] :
( ~ ( cQ @ X0 )
| ( cP @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl5,zip_derived_cl603]) ).
thf(zip_derived_cl801,plain,
! [X1: $i] : ( cP @ X1 ),
inference(clc,[status(thm)],[zip_derived_cl799,zip_derived_cl605]) ).
thf(zip_derived_cl803,plain,
! [X1: $i] : ( cQ @ X1 ),
inference(demod,[status(thm)],[zip_derived_cl754,zip_derived_cl801]) ).
thf(zip_derived_cl803_070,plain,
! [X1: $i] : ( cQ @ X1 ),
inference(demod,[status(thm)],[zip_derived_cl754,zip_derived_cl801]) ).
thf(zip_derived_cl804,plain,
! [X0: $i,X1: $i] : ( zip_tseitin_3 @ X0 @ X1 ),
inference(demod,[status(thm)],[zip_derived_cl14,zip_derived_cl803,zip_derived_cl803]) ).
thf(zip_derived_cl805,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl794,zip_derived_cl804]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN036^5 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.zQlBTY75Tk true
% 0.18/0.34 % Computer : n001.cluster.edu
% 0.18/0.34 % Model : x86_64 x86_64
% 0.18/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.34 % Memory : 8042.1875MB
% 0.18/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.18/0.34 % CPULimit : 300
% 0.18/0.34 % WCLimit : 300
% 0.18/0.34 % DateTime : Sat Aug 26 21:11:31 EDT 2023
% 0.18/0.34 % CPUTime :
% 0.18/0.34 % Running portfolio for 300 s
% 0.18/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.34 % Number of cores: 8
% 0.18/0.35 % Python version: Python 3.6.8
% 0.18/0.35 % Running in HO mode
% 0.20/0.68 % Total configuration time : 828
% 0.20/0.68 % Estimated wc time : 1656
% 0.20/0.68 % Estimated cpu time (8 cpus) : 207.0
% 0.20/0.75 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.20/0.75 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.20/0.75 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.20/0.77 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.20/0.78 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.20/0.79 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.20/0.81 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 0.20/0.82 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 1.79/0.89 % Solved by lams/40_c.s.sh.
% 1.79/0.89 % done 276 iterations in 0.119s
% 1.79/0.89 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.79/0.89 % SZS output start Refutation
% See solution above
% 1.79/0.90
% 1.79/0.90
% 1.79/0.90 % Terminating...
% 2.33/0.97 % Runner terminated.
% 2.33/0.98 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------