TSTP Solution File: SYN551+2 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SYN551+2 : TPTP v8.1.2. Bugfixed v3.1.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.yjrswMfQLu true
% Computer : n007.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 04:04:33 EDT 2023
% Result : Theorem 1.25s 0.79s
% Output : Refutation 1.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 14
% Syntax : Number of formulae : 82 ( 7 unt; 10 typ; 0 def)
% Number of atoms : 190 ( 98 equ; 0 cnn)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 575 ( 96 ~; 63 |; 12 &; 361 @)
% ( 9 <=>; 0 =>; 34 <=; 0 <~>)
% Maximal formula depth : 8 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 12 ( 12 >; 0 *; 0 +; 0 <<)
% Number of symbols : 10 ( 8 usr; 3 con; 0-2 aty)
% Number of variables : 141 ( 0 ^; 135 !; 6 ?; 141 :)
% Comments :
%------------------------------------------------------------------------------
thf(sk__type,type,
sk_: $i > $i ).
thf(zip_tseitin_1_type,type,
zip_tseitin_1: $i > $i > $o ).
thf(f_type,type,
f: $i > $i ).
thf(g_type,type,
g: $i > $i ).
thf(sk__3_type,type,
sk__3: $i ).
thf(sk__2_type,type,
sk__2: $i ).
thf(sk__1_type,type,
sk__1: $i > $i ).
thf(zip_tseitin_0_type,type,
zip_tseitin_0: $i > $i > $o ).
thf(prove_this_cute_thing,conjecture,
( ? [X: $i] :
! [Y: $i] :
( ( Y
= ( f @ ( g @ Y ) ) )
<=> ( X = Y ) )
<=> ? [X: $i] :
! [Y: $i] :
( ( Y
= ( g @ ( f @ Y ) ) )
<=> ( X = Y ) ) ) ).
thf(zf_stmt_0,type,
zip_tseitin_1: $i > $i > $o ).
thf(zf_stmt_1,axiom,
! [Y: $i,X: $i] :
( ( zip_tseitin_1 @ Y @ X )
<=> ( ( Y
= ( g @ ( f @ Y ) ) )
<=> ( X = Y ) ) ) ).
thf(zf_stmt_2,type,
zip_tseitin_0: $i > $i > $o ).
thf(zf_stmt_3,axiom,
! [Y: $i,X: $i] :
( ( zip_tseitin_0 @ Y @ X )
<=> ( ( Y
= ( f @ ( g @ Y ) ) )
<=> ( X = Y ) ) ) ).
thf(zf_stmt_4,conjecture,
( ? [X: $i] :
! [Y: $i] : ( zip_tseitin_0 @ Y @ X )
<=> ? [X: $i] :
! [Y: $i] : ( zip_tseitin_1 @ Y @ X ) ) ).
thf(zf_stmt_5,negated_conjecture,
~ ( ? [X: $i] :
! [Y: $i] : ( zip_tseitin_0 @ Y @ X )
<=> ? [X: $i] :
! [Y: $i] : ( zip_tseitin_1 @ Y @ X ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_4]) ).
thf(zip_derived_cl8,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_1 @ X0 @ sk__2 )
| ( zip_tseitin_0 @ X1 @ sk__3 ) ),
inference(cnf,[status(esa)],[zf_stmt_5]) ).
thf(zip_derived_cl10,plain,
( ! [X1: $i] : ( zip_tseitin_0 @ X1 @ sk__3 )
<= ! [X1: $i] : ( zip_tseitin_0 @ X1 @ sk__3 ) ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
thf(zip_derived_cl0,plain,
! [X0: $i,X1: $i] :
( ( X1 != X0 )
| ( X0
= ( f @ ( g @ X0 ) ) )
| ~ ( zip_tseitin_0 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(zip_derived_cl16,plain,
( ! [X0: $i] :
( ( sk__3 != X0 )
| ( X0
= ( f @ ( g @ X0 ) ) ) )
<= ! [X1: $i] : ( zip_tseitin_0 @ X1 @ sk__3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl10,zip_derived_cl0]) ).
thf(zip_derived_cl11,plain,
( ! [X0: $i] : ( zip_tseitin_1 @ X0 @ sk__2 )
<= ! [X0: $i] : ( zip_tseitin_1 @ X0 @ sk__2 ) ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
thf(zip_derived_cl4,plain,
! [X0: $i,X1: $i] :
( ( X1 != X0 )
| ( X0
= ( g @ ( f @ X0 ) ) )
| ~ ( zip_tseitin_1 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl81,plain,
( ! [X0: $i] :
( ( sk__2 != X0 )
| ( X0
= ( g @ ( f @ X0 ) ) ) )
<= ! [X0: $i] : ( zip_tseitin_1 @ X0 @ sk__2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl11,zip_derived_cl4]) ).
thf(zip_derived_cl3,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_0 @ X0 @ X1 )
| ( X1 = X0 )
| ( X0
= ( f @ ( g @ X0 ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(zip_derived_cl9,plain,
! [X2: $i,X3: $i] :
( ~ ( zip_tseitin_1 @ ( sk_ @ X2 ) @ X2 )
| ~ ( zip_tseitin_0 @ ( sk__1 @ X3 ) @ X3 ) ),
inference(cnf,[status(esa)],[zf_stmt_5]) ).
thf(zip_derived_cl12,plain,
( ! [X3: $i] :
~ ( zip_tseitin_0 @ ( sk__1 @ X3 ) @ X3 )
<= ! [X3: $i] :
~ ( zip_tseitin_0 @ ( sk__1 @ X3 ) @ X3 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl46,plain,
( ! [X0: $i] :
( ( ( sk__1 @ X0 )
= ( f @ ( g @ ( sk__1 @ X0 ) ) ) )
| ( X0
= ( sk__1 @ X0 ) ) )
<= ! [X3: $i] :
~ ( zip_tseitin_0 @ ( sk__1 @ X3 ) @ X3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl12]) ).
thf(zip_derived_cl11_001,plain,
( ! [X0: $i] : ( zip_tseitin_1 @ X0 @ sk__2 )
<= ! [X0: $i] : ( zip_tseitin_1 @ X0 @ sk__2 ) ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
thf(zip_derived_cl5,plain,
! [X0: $i,X1: $i] :
( ( X0
!= ( g @ ( f @ X0 ) ) )
| ( X1 = X0 )
| ~ ( zip_tseitin_1 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl22,plain,
( ! [X0: $i] :
( ( X0
!= ( g @ ( f @ X0 ) ) )
| ( sk__2 = X0 ) )
<= ! [X0: $i] : ( zip_tseitin_1 @ X0 @ sk__2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl11,zip_derived_cl5]) ).
thf(zip_derived_cl50,plain,
( ! [X0: $i] :
( ( X0
= ( sk__1 @ X0 ) )
| ( ( g @ ( sk__1 @ X0 ) )
!= ( g @ ( sk__1 @ X0 ) ) )
| ( sk__2
= ( g @ ( sk__1 @ X0 ) ) ) )
<= ( ! [X0: $i] : ( zip_tseitin_1 @ X0 @ sk__2 )
& ! [X3: $i] :
~ ( zip_tseitin_0 @ ( sk__1 @ X3 ) @ X3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl46,zip_derived_cl22]) ).
thf(zip_derived_cl55,plain,
( ! [X0: $i] :
( ( sk__2
= ( g @ ( sk__1 @ X0 ) ) )
| ( X0
= ( sk__1 @ X0 ) ) )
<= ( ! [X0: $i] : ( zip_tseitin_1 @ X0 @ sk__2 )
& ! [X3: $i] :
~ ( zip_tseitin_0 @ ( sk__1 @ X3 ) @ X3 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl50]) ).
thf(zip_derived_cl46_002,plain,
( ! [X0: $i] :
( ( ( sk__1 @ X0 )
= ( f @ ( g @ ( sk__1 @ X0 ) ) ) )
| ( X0
= ( sk__1 @ X0 ) ) )
<= ! [X3: $i] :
~ ( zip_tseitin_0 @ ( sk__1 @ X3 ) @ X3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl12]) ).
thf(zip_derived_cl61,plain,
( ! [X0: $i] :
( ( X0
= ( sk__1 @ X0 ) )
| ( ( sk__1 @ X0 )
= ( f @ sk__2 ) )
| ( X0
= ( sk__1 @ X0 ) ) )
<= ( ! [X0: $i] : ( zip_tseitin_1 @ X0 @ sk__2 )
& ! [X3: $i] :
~ ( zip_tseitin_0 @ ( sk__1 @ X3 ) @ X3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl55,zip_derived_cl46]) ).
thf(zip_derived_cl64,plain,
( ! [X0: $i] :
( ( ( sk__1 @ X0 )
= ( f @ sk__2 ) )
| ( X0
= ( sk__1 @ X0 ) ) )
<= ( ! [X0: $i] : ( zip_tseitin_1 @ X0 @ sk__2 )
& ! [X3: $i] :
~ ( zip_tseitin_0 @ ( sk__1 @ X3 ) @ X3 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl61]) ).
thf(zip_derived_cl78,plain,
( ! [X0: $i] :
( ( ( f @ sk__2 )
!= X0 )
| ( X0
= ( sk__1 @ X0 ) ) )
<= ( ! [X0: $i] : ( zip_tseitin_1 @ X0 @ sk__2 )
& ! [X3: $i] :
~ ( zip_tseitin_0 @ ( sk__1 @ X3 ) @ X3 ) ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl64]) ).
thf(zip_derived_cl2,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_0 @ X0 @ X1 )
| ( X1 != X0 )
| ( X0
!= ( f @ ( g @ X0 ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(zip_derived_cl12_003,plain,
( ! [X3: $i] :
~ ( zip_tseitin_0 @ ( sk__1 @ X3 ) @ X3 )
<= ! [X3: $i] :
~ ( zip_tseitin_0 @ ( sk__1 @ X3 ) @ X3 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl32,plain,
( ! [X0: $i] :
( ( ( sk__1 @ X0 )
!= ( f @ ( g @ ( sk__1 @ X0 ) ) ) )
| ( X0
!= ( sk__1 @ X0 ) ) )
<= ! [X3: $i] :
~ ( zip_tseitin_0 @ ( sk__1 @ X3 ) @ X3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl12]) ).
thf(zip_derived_cl149,plain,
( ! [X0: $i] :
( ( ( f @ sk__2 )
!= X0 )
| ( X0
!= ( f @ ( g @ X0 ) ) )
| ( X0 != X0 ) )
<= ( ! [X0: $i] : ( zip_tseitin_1 @ X0 @ sk__2 )
& ! [X3: $i] :
~ ( zip_tseitin_0 @ ( sk__1 @ X3 ) @ X3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl78,zip_derived_cl32]) ).
thf(zip_derived_cl153,plain,
( ! [X0: $i] :
( ( X0
!= ( f @ ( g @ X0 ) ) )
| ( ( f @ sk__2 )
!= X0 ) )
<= ( ! [X0: $i] : ( zip_tseitin_1 @ X0 @ sk__2 )
& ! [X3: $i] :
~ ( zip_tseitin_0 @ ( sk__1 @ X3 ) @ X3 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl149]) ).
thf(zip_derived_cl180,plain,
( ! [X0: $i] :
( ( sk__2 != X0 )
| ( ( f @ X0 )
!= ( f @ X0 ) )
| ( ( f @ sk__2 )
!= ( f @ X0 ) ) )
<= ( ! [X0: $i] : ( zip_tseitin_1 @ X0 @ sk__2 )
& ! [X3: $i] :
~ ( zip_tseitin_0 @ ( sk__1 @ X3 ) @ X3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl81,zip_derived_cl153]) ).
thf(zip_derived_cl191,plain,
( ! [X0: $i] :
( ( ( f @ sk__2 )
!= ( f @ X0 ) )
| ( sk__2 != X0 ) )
<= ( ! [X0: $i] : ( zip_tseitin_1 @ X0 @ sk__2 )
& ! [X3: $i] :
~ ( zip_tseitin_0 @ ( sk__1 @ X3 ) @ X3 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl180]) ).
thf(zip_derived_cl203,plain,
( ( sk__2 != sk__2 )
<= ( ! [X0: $i] : ( zip_tseitin_1 @ X0 @ sk__2 )
& ! [X3: $i] :
~ ( zip_tseitin_0 @ ( sk__1 @ X3 ) @ X3 ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl191]) ).
thf('0',plain,
( ~ ! [X3: $i] :
~ ( zip_tseitin_0 @ ( sk__1 @ X3 ) @ X3 )
| ~ ! [X0: $i] : ( zip_tseitin_1 @ X0 @ sk__2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl203]) ).
thf(zip_derived_cl11_004,plain,
( ! [X0: $i] : ( zip_tseitin_1 @ X0 @ sk__2 )
<= ! [X0: $i] : ( zip_tseitin_1 @ X0 @ sk__2 ) ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
thf(zip_derived_cl13,plain,
( ! [X2: $i] :
~ ( zip_tseitin_1 @ ( sk_ @ X2 ) @ X2 )
<= ! [X2: $i] :
~ ( zip_tseitin_1 @ ( sk_ @ X2 ) @ X2 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf('1',plain,
( ~ ! [X0: $i] : ( zip_tseitin_1 @ X0 @ sk__2 )
| ~ ! [X2: $i] :
~ ( zip_tseitin_1 @ ( sk_ @ X2 ) @ X2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl11,zip_derived_cl13]) ).
thf('2',plain,
( ! [X2: $i] :
~ ( zip_tseitin_1 @ ( sk_ @ X2 ) @ X2 )
| ! [X3: $i] :
~ ( zip_tseitin_0 @ ( sk__1 @ X3 ) @ X3 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf('3',plain,
( ! [X1: $i] : ( zip_tseitin_0 @ X1 @ sk__3 )
| ! [X0: $i] : ( zip_tseitin_1 @ X0 @ sk__2 ) ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
thf('4',plain,
! [X1: $i] : ( zip_tseitin_0 @ X1 @ sk__3 ),
inference('sat_resolution*',[status(thm)],['0','1','2','3']) ).
thf(zip_derived_cl222,plain,
! [X0: $i] :
( ( sk__3 != X0 )
| ( X0
= ( f @ ( g @ X0 ) ) ) ),
inference(simpl_trail,[status(thm)],[zip_derived_cl16,'4']) ).
thf(zip_derived_cl7,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_1 @ X0 @ X1 )
| ( X1 = X0 )
| ( X0
= ( g @ ( f @ X0 ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl13_005,plain,
( ! [X2: $i] :
~ ( zip_tseitin_1 @ ( sk_ @ X2 ) @ X2 )
<= ! [X2: $i] :
~ ( zip_tseitin_1 @ ( sk_ @ X2 ) @ X2 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl144,plain,
( ! [X0: $i] :
( ( ( sk_ @ X0 )
= ( g @ ( f @ ( sk_ @ X0 ) ) ) )
| ( X0
= ( sk_ @ X0 ) ) )
<= ! [X2: $i] :
~ ( zip_tseitin_1 @ ( sk_ @ X2 ) @ X2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl7,zip_derived_cl13]) ).
thf(zip_derived_cl10_006,plain,
( ! [X1: $i] : ( zip_tseitin_0 @ X1 @ sk__3 )
<= ! [X1: $i] : ( zip_tseitin_0 @ X1 @ sk__3 ) ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
thf(zip_derived_cl1,plain,
! [X0: $i,X1: $i] :
( ( X0
!= ( f @ ( g @ X0 ) ) )
| ( X1 = X0 )
| ~ ( zip_tseitin_0 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(zip_derived_cl19,plain,
( ! [X0: $i] :
( ( X0
!= ( f @ ( g @ X0 ) ) )
| ( sk__3 = X0 ) )
<= ! [X1: $i] : ( zip_tseitin_0 @ X1 @ sk__3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl10,zip_derived_cl1]) ).
thf(zip_derived_cl155,plain,
( ! [X0: $i] :
( ( X0
= ( sk_ @ X0 ) )
| ( ( f @ ( sk_ @ X0 ) )
!= ( f @ ( sk_ @ X0 ) ) )
| ( sk__3
= ( f @ ( sk_ @ X0 ) ) ) )
<= ( ! [X1: $i] : ( zip_tseitin_0 @ X1 @ sk__3 )
& ! [X2: $i] :
~ ( zip_tseitin_1 @ ( sk_ @ X2 ) @ X2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl144,zip_derived_cl19]) ).
thf(zip_derived_cl161,plain,
( ! [X0: $i] :
( ( sk__3
= ( f @ ( sk_ @ X0 ) ) )
| ( X0
= ( sk_ @ X0 ) ) )
<= ( ! [X1: $i] : ( zip_tseitin_0 @ X1 @ sk__3 )
& ! [X2: $i] :
~ ( zip_tseitin_1 @ ( sk_ @ X2 ) @ X2 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl155]) ).
thf('5',plain,
! [X1: $i] : ( zip_tseitin_0 @ X1 @ sk__3 ),
inference('sat_resolution*',[status(thm)],['0','1','2','3']) ).
thf(zip_derived_cl12_007,plain,
( ! [X3: $i] :
~ ( zip_tseitin_0 @ ( sk__1 @ X3 ) @ X3 )
<= ! [X3: $i] :
~ ( zip_tseitin_0 @ ( sk__1 @ X3 ) @ X3 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl10_008,plain,
( ! [X1: $i] : ( zip_tseitin_0 @ X1 @ sk__3 )
<= ! [X1: $i] : ( zip_tseitin_0 @ X1 @ sk__3 ) ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
thf('6',plain,
( ~ ! [X3: $i] :
~ ( zip_tseitin_0 @ ( sk__1 @ X3 ) @ X3 )
| ~ ! [X1: $i] : ( zip_tseitin_0 @ X1 @ sk__3 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl12,zip_derived_cl10]) ).
thf('7',plain,
! [X2: $i] :
~ ( zip_tseitin_1 @ ( sk_ @ X2 ) @ X2 ),
inference('sat_resolution*',[status(thm)],['0','1','3','6','2']) ).
thf(zip_derived_cl219,plain,
! [X0: $i] :
( ( sk__3
= ( f @ ( sk_ @ X0 ) ) )
| ( X0
= ( sk_ @ X0 ) ) ),
inference(simpl_trail,[status(thm)],[zip_derived_cl161,'5','7']) ).
thf(zip_derived_cl144_009,plain,
( ! [X0: $i] :
( ( ( sk_ @ X0 )
= ( g @ ( f @ ( sk_ @ X0 ) ) ) )
| ( X0
= ( sk_ @ X0 ) ) )
<= ! [X2: $i] :
~ ( zip_tseitin_1 @ ( sk_ @ X2 ) @ X2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl7,zip_derived_cl13]) ).
thf('8',plain,
! [X2: $i] :
~ ( zip_tseitin_1 @ ( sk_ @ X2 ) @ X2 ),
inference('sat_resolution*',[status(thm)],['0','1','3','6','2']) ).
thf(zip_derived_cl225,plain,
! [X0: $i] :
( ( ( sk_ @ X0 )
= ( g @ ( f @ ( sk_ @ X0 ) ) ) )
| ( X0
= ( sk_ @ X0 ) ) ),
inference(simpl_trail,[status(thm)],[zip_derived_cl144,'8']) ).
thf(zip_derived_cl238,plain,
! [X0: $i] :
( ( X0
= ( sk_ @ X0 ) )
| ( ( sk_ @ X0 )
= ( g @ sk__3 ) )
| ( X0
= ( sk_ @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl219,zip_derived_cl225]) ).
thf(zip_derived_cl239,plain,
! [X0: $i] :
( ( ( sk_ @ X0 )
= ( g @ sk__3 ) )
| ( X0
= ( sk_ @ X0 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl238]) ).
thf(zip_derived_cl254,plain,
! [X0: $i] :
( ( ( g @ sk__3 )
!= X0 )
| ( X0
= ( sk_ @ X0 ) ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl239]) ).
thf(zip_derived_cl6,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_1 @ X0 @ X1 )
| ( X1 != X0 )
| ( X0
!= ( g @ ( f @ X0 ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl13_010,plain,
( ! [X2: $i] :
~ ( zip_tseitin_1 @ ( sk_ @ X2 ) @ X2 )
<= ! [X2: $i] :
~ ( zip_tseitin_1 @ ( sk_ @ X2 ) @ X2 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl118,plain,
( ! [X0: $i] :
( ( ( sk_ @ X0 )
!= ( g @ ( f @ ( sk_ @ X0 ) ) ) )
| ( X0
!= ( sk_ @ X0 ) ) )
<= ! [X2: $i] :
~ ( zip_tseitin_1 @ ( sk_ @ X2 ) @ X2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl6,zip_derived_cl13]) ).
thf('9',plain,
! [X2: $i] :
~ ( zip_tseitin_1 @ ( sk_ @ X2 ) @ X2 ),
inference('sat_resolution*',[status(thm)],['0','1','3','6','2']) ).
thf(zip_derived_cl224,plain,
! [X0: $i] :
( ( ( sk_ @ X0 )
!= ( g @ ( f @ ( sk_ @ X0 ) ) ) )
| ( X0
!= ( sk_ @ X0 ) ) ),
inference(simpl_trail,[status(thm)],[zip_derived_cl118,'9']) ).
thf(zip_derived_cl259,plain,
! [X0: $i] :
( ( ( g @ sk__3 )
!= X0 )
| ( X0
!= ( g @ ( f @ X0 ) ) )
| ( X0 != X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl254,zip_derived_cl224]) ).
thf(zip_derived_cl262,plain,
! [X0: $i] :
( ( X0
!= ( g @ ( f @ X0 ) ) )
| ( ( g @ sk__3 )
!= X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl259]) ).
thf(zip_derived_cl268,plain,
! [X0: $i] :
( ( sk__3 != X0 )
| ( ( g @ X0 )
!= ( g @ X0 ) )
| ( ( g @ sk__3 )
!= ( g @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl222,zip_derived_cl262]) ).
thf(zip_derived_cl271,plain,
! [X0: $i] :
( ( ( g @ sk__3 )
!= ( g @ X0 ) )
| ( sk__3 != X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl268]) ).
thf(zip_derived_cl280,plain,
sk__3 != sk__3,
inference(eq_res,[status(thm)],[zip_derived_cl271]) ).
thf(zip_derived_cl281,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl280]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SYN551+2 : TPTP v8.1.2. Bugfixed v3.1.0.
% 0.12/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.yjrswMfQLu true
% 0.13/0.34 % Computer : n007.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sat Aug 26 17:03:41 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % Running in FO mode
% 0.20/0.63 % Total configuration time : 435
% 0.20/0.63 % Estimated wc time : 1092
% 0.20/0.63 % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.70 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.73 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.20/0.73 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.20/0.74 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.20/0.75 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.20/0.75 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.20/0.76 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.25/0.79 % Solved by fo/fo1_av.sh.
% 1.25/0.79 % done 96 iterations in 0.026s
% 1.25/0.79 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.25/0.79 % SZS output start Refutation
% See solution above
% 1.25/0.79
% 1.25/0.79
% 1.25/0.79 % Terminating...
% 1.47/0.84 % Runner terminated.
% 1.47/0.85 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------