TSTP Solution File: SYN417+1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SYN417+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.PLXvCl2HlN true
% Computer : n004.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 04:03:21 EDT 2023
% Result : Theorem 1.08s 0.77s
% Output : Refutation 1.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 14
% Syntax : Number of formulae : 99 ( 12 unt; 10 typ; 0 def)
% Number of atoms : 240 ( 163 equ; 0 cnn)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 639 ( 110 ~; 138 |; 4 &; 378 @)
% ( 5 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 8 ( 8 >; 0 *; 0 +; 0 <<)
% Number of symbols : 10 ( 8 usr; 3 con; 0-2 aty)
% Number of variables : 87 ( 0 ^; 81 !; 6 ?; 87 :)
% Comments :
%------------------------------------------------------------------------------
thf(f_type,type,
f: $i > $i ).
thf(zip_tseitin_1_type,type,
zip_tseitin_1: $i > $o ).
thf(sk__1_type,type,
sk__1: $i > $i ).
thf(g_type,type,
g: $i > $i ).
thf(sk__2_type,type,
sk__2: $i ).
thf(sk__3_type,type,
sk__3: $i ).
thf(sk__type,type,
sk_: $i > $i ).
thf(zip_tseitin_0_type,type,
zip_tseitin_0: $i > $o ).
thf(cute,conjecture,
( ? [X: $i] :
( ( X
= ( f @ ( g @ X ) ) )
& ! [Y: $i] :
( ( Y
= ( f @ ( g @ Y ) ) )
=> ( X = Y ) ) )
<=> ? [X: $i] :
( ( X
= ( g @ ( f @ X ) ) )
& ! [Y: $i] :
( ( Y
= ( g @ ( f @ Y ) ) )
=> ( X = Y ) ) ) ) ).
thf(zf_stmt_0,type,
zip_tseitin_1: $i > $o ).
thf(zf_stmt_1,axiom,
! [X: $i] :
( ( zip_tseitin_1 @ X )
<=> ( ! [Y: $i] :
( ( Y
= ( g @ ( f @ Y ) ) )
=> ( X = Y ) )
& ( X
= ( g @ ( f @ X ) ) ) ) ) ).
thf(zf_stmt_2,type,
zip_tseitin_0: $i > $o ).
thf(zf_stmt_3,axiom,
! [X: $i] :
( ( zip_tseitin_0 @ X )
<=> ( ! [Y: $i] :
( ( Y
= ( f @ ( g @ Y ) ) )
=> ( X = Y ) )
& ( X
= ( f @ ( g @ X ) ) ) ) ) ).
thf(zf_stmt_4,conjecture,
( ? [X: $i] : ( zip_tseitin_0 @ X )
<=> ? [X: $i] : ( zip_tseitin_1 @ X ) ) ).
thf(zf_stmt_5,negated_conjecture,
~ ( ? [X: $i] : ( zip_tseitin_0 @ X )
<=> ? [X: $i] : ( zip_tseitin_1 @ X ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_4]) ).
thf(zip_derived_cl8,plain,
( ( zip_tseitin_1 @ sk__2 )
| ( zip_tseitin_0 @ sk__3 ) ),
inference(cnf,[status(esa)],[zf_stmt_5]) ).
thf(zip_derived_cl1,plain,
! [X0: $i] :
( ( X0
= ( f @ ( g @ X0 ) ) )
| ~ ( zip_tseitin_0 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(zip_derived_cl49,plain,
( ( zip_tseitin_1 @ sk__2 )
| ( sk__3
= ( f @ ( g @ sk__3 ) ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl8,zip_derived_cl1]) ).
thf(zip_derived_cl5,plain,
! [X0: $i] :
( ( X0
= ( g @ ( f @ X0 ) ) )
| ~ ( zip_tseitin_1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl57,plain,
( ( sk__3
= ( f @ ( g @ sk__3 ) ) )
| ( sk__2
= ( g @ ( f @ sk__2 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl49,zip_derived_cl5]) ).
thf(zip_derived_cl49_001,plain,
( ( zip_tseitin_1 @ sk__2 )
| ( sk__3
= ( f @ ( g @ sk__3 ) ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl8,zip_derived_cl1]) ).
thf(zip_derived_cl49_002,plain,
( ( zip_tseitin_1 @ sk__2 )
| ( sk__3
= ( f @ ( g @ sk__3 ) ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl8,zip_derived_cl1]) ).
thf(zip_derived_cl2,plain,
! [X0: $i] :
( ( zip_tseitin_0 @ X0 )
| ( X0
!= ( f @ ( g @ X0 ) ) )
| ( ( sk_ @ X0 )
= ( f @ ( g @ ( sk_ @ X0 ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(zip_derived_cl9,plain,
! [X0: $i,X1: $i] :
( ~ ( zip_tseitin_1 @ X0 )
| ~ ( zip_tseitin_0 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_5]) ).
thf(zip_derived_cl44,plain,
! [X0: $i,X1: $i] :
( ( ( sk_ @ X0 )
= ( f @ ( g @ ( sk_ @ X0 ) ) ) )
| ( X0
!= ( f @ ( g @ X0 ) ) )
| ~ ( zip_tseitin_1 @ X1 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl2,zip_derived_cl9]) ).
thf(zip_derived_cl72,plain,
! [X0: $i] :
( ( sk__3
= ( f @ ( g @ sk__3 ) ) )
| ( X0
!= ( f @ ( g @ X0 ) ) )
| ( ( sk_ @ X0 )
= ( f @ ( g @ ( sk_ @ X0 ) ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl49,zip_derived_cl44]) ).
thf(zip_derived_cl4,plain,
! [X0: $i,X1: $i] :
( ( X0
!= ( g @ ( f @ X0 ) ) )
| ( X1 = X0 )
| ~ ( zip_tseitin_1 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl141,plain,
! [X0: $i,X1: $i] :
( ( ( g @ ( sk_ @ X0 ) )
!= ( g @ ( sk_ @ X0 ) ) )
| ( X0
!= ( f @ ( g @ X0 ) ) )
| ( sk__3
= ( f @ ( g @ sk__3 ) ) )
| ~ ( zip_tseitin_1 @ X1 )
| ( X1
= ( g @ ( sk_ @ X0 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl72,zip_derived_cl4]) ).
thf(zip_derived_cl146,plain,
! [X0: $i,X1: $i] :
( ( X1
= ( g @ ( sk_ @ X0 ) ) )
| ~ ( zip_tseitin_1 @ X1 )
| ( sk__3
= ( f @ ( g @ sk__3 ) ) )
| ( X0
!= ( f @ ( g @ X0 ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl141]) ).
thf(zip_derived_cl153,plain,
! [X0: $i] :
( ( sk__3
= ( f @ ( g @ sk__3 ) ) )
| ( X0
!= ( f @ ( g @ X0 ) ) )
| ( sk__3
= ( f @ ( g @ sk__3 ) ) )
| ( sk__2
= ( g @ ( sk_ @ X0 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl49,zip_derived_cl146]) ).
thf(zip_derived_cl155,plain,
! [X0: $i] :
( ( sk__2
= ( g @ ( sk_ @ X0 ) ) )
| ( X0
!= ( f @ ( g @ X0 ) ) )
| ( sk__3
= ( f @ ( g @ sk__3 ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl153]) ).
thf(zip_derived_cl72_003,plain,
! [X0: $i] :
( ( sk__3
= ( f @ ( g @ sk__3 ) ) )
| ( X0
!= ( f @ ( g @ X0 ) ) )
| ( ( sk_ @ X0 )
= ( f @ ( g @ ( sk_ @ X0 ) ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl49,zip_derived_cl44]) ).
thf(zip_derived_cl161,plain,
! [X0: $i] :
( ( ( sk_ @ X0 )
= ( f @ sk__2 ) )
| ( sk__3
= ( f @ ( g @ sk__3 ) ) )
| ( X0
!= ( f @ ( g @ X0 ) ) )
| ( X0
!= ( f @ ( g @ X0 ) ) )
| ( sk__3
= ( f @ ( g @ sk__3 ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl155,zip_derived_cl72]) ).
thf(zip_derived_cl165,plain,
! [X0: $i] :
( ( X0
!= ( f @ ( g @ X0 ) ) )
| ( sk__3
= ( f @ ( g @ sk__3 ) ) )
| ( ( sk_ @ X0 )
= ( f @ sk__2 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl161]) ).
thf(zip_derived_cl49_004,plain,
( ( zip_tseitin_1 @ sk__2 )
| ( sk__3
= ( f @ ( g @ sk__3 ) ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl8,zip_derived_cl1]) ).
thf(zip_derived_cl3,plain,
! [X0: $i] :
( ( zip_tseitin_0 @ X0 )
| ( X0
!= ( f @ ( g @ X0 ) ) )
| ( X0
!= ( sk_ @ X0 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(zip_derived_cl9_005,plain,
! [X0: $i,X1: $i] :
( ~ ( zip_tseitin_1 @ X0 )
| ~ ( zip_tseitin_0 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_5]) ).
thf(zip_derived_cl47,plain,
! [X0: $i,X1: $i] :
( ( X0
!= ( sk_ @ X0 ) )
| ( X0
!= ( f @ ( g @ X0 ) ) )
| ~ ( zip_tseitin_1 @ X1 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl3,zip_derived_cl9]) ).
thf(zip_derived_cl56,plain,
! [X0: $i] :
( ( sk__3
= ( f @ ( g @ sk__3 ) ) )
| ( X0
!= ( f @ ( g @ X0 ) ) )
| ( X0
!= ( sk_ @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl49,zip_derived_cl47]) ).
thf(zip_derived_cl166,plain,
! [X0: $i] :
( ( X0
!= ( f @ sk__2 ) )
| ( sk__3
= ( f @ ( g @ sk__3 ) ) )
| ( X0
!= ( f @ ( g @ X0 ) ) )
| ( X0
!= ( f @ ( g @ X0 ) ) )
| ( sk__3
= ( f @ ( g @ sk__3 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl165,zip_derived_cl56]) ).
thf(zip_derived_cl171,plain,
! [X0: $i] :
( ( X0
!= ( f @ ( g @ X0 ) ) )
| ( sk__3
= ( f @ ( g @ sk__3 ) ) )
| ( X0
!= ( f @ sk__2 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl166]) ).
thf(zip_derived_cl180,plain,
( ( ( f @ sk__2 )
!= ( f @ sk__2 ) )
| ( sk__3
= ( f @ ( g @ sk__3 ) ) )
| ( ( f @ sk__2 )
!= ( f @ sk__2 ) )
| ( sk__3
= ( f @ ( g @ sk__3 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl57,zip_derived_cl171]) ).
thf(zip_derived_cl185,plain,
( sk__3
= ( f @ ( g @ sk__3 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl180]) ).
thf(zip_derived_cl4_006,plain,
! [X0: $i,X1: $i] :
( ( X0
!= ( g @ ( f @ X0 ) ) )
| ( X1 = X0 )
| ~ ( zip_tseitin_1 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl190,plain,
! [X0: $i] :
( ( ( g @ sk__3 )
!= ( g @ sk__3 ) )
| ~ ( zip_tseitin_1 @ X0 )
| ( X0
= ( g @ sk__3 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl185,zip_derived_cl4]) ).
thf(zip_derived_cl195,plain,
! [X0: $i] :
( ( X0
= ( g @ sk__3 ) )
| ~ ( zip_tseitin_1 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl190]) ).
thf(zip_derived_cl185_007,plain,
( sk__3
= ( f @ ( g @ sk__3 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl180]) ).
thf(zip_derived_cl6,plain,
! [X0: $i] :
( ( zip_tseitin_1 @ X0 )
| ( X0
!= ( g @ ( f @ X0 ) ) )
| ( ( sk__1 @ X0 )
= ( g @ ( f @ ( sk__1 @ X0 ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl8_008,plain,
( ( zip_tseitin_1 @ sk__2 )
| ( zip_tseitin_0 @ sk__3 ) ),
inference(cnf,[status(esa)],[zf_stmt_5]) ).
thf(zip_derived_cl0,plain,
! [X0: $i,X1: $i] :
( ( X0
!= ( f @ ( g @ X0 ) ) )
| ( X1 = X0 )
| ~ ( zip_tseitin_0 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(zip_derived_cl48,plain,
! [X0: $i] :
( ( zip_tseitin_1 @ sk__2 )
| ( sk__3 = X0 )
| ( X0
!= ( f @ ( g @ X0 ) ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl8,zip_derived_cl0]) ).
thf(zip_derived_cl52,plain,
! [X0: $i] :
( ( ( f @ ( sk__1 @ X0 ) )
!= ( f @ ( sk__1 @ X0 ) ) )
| ( X0
!= ( g @ ( f @ X0 ) ) )
| ( zip_tseitin_1 @ X0 )
| ( sk__3
= ( f @ ( sk__1 @ X0 ) ) )
| ( zip_tseitin_1 @ sk__2 ) ),
inference('sup-',[status(thm)],[zip_derived_cl6,zip_derived_cl48]) ).
thf(zip_derived_cl54,plain,
! [X0: $i] :
( ( zip_tseitin_1 @ sk__2 )
| ( sk__3
= ( f @ ( sk__1 @ X0 ) ) )
| ( zip_tseitin_1 @ X0 )
| ( X0
!= ( g @ ( f @ X0 ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl52]) ).
thf(zip_derived_cl8_009,plain,
( ( zip_tseitin_1 @ sk__2 )
| ( zip_tseitin_0 @ sk__3 ) ),
inference(cnf,[status(esa)],[zf_stmt_5]) ).
thf(zip_derived_cl9_010,plain,
! [X0: $i,X1: $i] :
( ~ ( zip_tseitin_1 @ X0 )
| ~ ( zip_tseitin_0 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_5]) ).
thf(zip_derived_cl50,plain,
! [X0: $i] :
( ( zip_tseitin_1 @ sk__2 )
| ~ ( zip_tseitin_1 @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl8,zip_derived_cl9]) ).
thf(zip_derived_cl78,plain,
! [X0: $i] :
( ( X0
!= ( g @ ( f @ X0 ) ) )
| ( sk__3
= ( f @ ( sk__1 @ X0 ) ) )
| ( zip_tseitin_1 @ sk__2 ) ),
inference(clc,[status(thm)],[zip_derived_cl54,zip_derived_cl50]) ).
thf(zip_derived_cl78_011,plain,
! [X0: $i] :
( ( X0
!= ( g @ ( f @ X0 ) ) )
| ( sk__3
= ( f @ ( sk__1 @ X0 ) ) )
| ( zip_tseitin_1 @ sk__2 ) ),
inference(clc,[status(thm)],[zip_derived_cl54,zip_derived_cl50]) ).
thf(zip_derived_cl6_012,plain,
! [X0: $i] :
( ( zip_tseitin_1 @ X0 )
| ( X0
!= ( g @ ( f @ X0 ) ) )
| ( ( sk__1 @ X0 )
= ( g @ ( f @ ( sk__1 @ X0 ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl80,plain,
! [X0: $i] :
( ( ( sk__1 @ X0 )
= ( g @ sk__3 ) )
| ( zip_tseitin_1 @ sk__2 )
| ( X0
!= ( g @ ( f @ X0 ) ) )
| ( X0
!= ( g @ ( f @ X0 ) ) )
| ( zip_tseitin_1 @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl78,zip_derived_cl6]) ).
thf(zip_derived_cl82,plain,
! [X0: $i] :
( ( zip_tseitin_1 @ X0 )
| ( X0
!= ( g @ ( f @ X0 ) ) )
| ( zip_tseitin_1 @ sk__2 )
| ( ( sk__1 @ X0 )
= ( g @ sk__3 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl80]) ).
thf(zip_derived_cl50_013,plain,
! [X0: $i] :
( ( zip_tseitin_1 @ sk__2 )
| ~ ( zip_tseitin_1 @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl8,zip_derived_cl9]) ).
thf(zip_derived_cl85,plain,
! [X0: $i] :
( ( ( sk__1 @ X0 )
= ( g @ sk__3 ) )
| ( zip_tseitin_1 @ sk__2 )
| ( X0
!= ( g @ ( f @ X0 ) ) ) ),
inference(clc,[status(thm)],[zip_derived_cl82,zip_derived_cl50]) ).
thf(zip_derived_cl7,plain,
! [X0: $i] :
( ( zip_tseitin_1 @ X0 )
| ( X0
!= ( g @ ( f @ X0 ) ) )
| ( X0
!= ( sk__1 @ X0 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl87,plain,
! [X0: $i] :
( ( X0
!= ( g @ sk__3 ) )
| ( X0
!= ( g @ ( f @ X0 ) ) )
| ( zip_tseitin_1 @ sk__2 )
| ( X0
!= ( g @ ( f @ X0 ) ) )
| ( zip_tseitin_1 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl85,zip_derived_cl7]) ).
thf(zip_derived_cl90,plain,
! [X0: $i] :
( ( zip_tseitin_1 @ X0 )
| ( zip_tseitin_1 @ sk__2 )
| ( X0
!= ( g @ ( f @ X0 ) ) )
| ( X0
!= ( g @ sk__3 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl87]) ).
thf(zip_derived_cl50_014,plain,
! [X0: $i] :
( ( zip_tseitin_1 @ sk__2 )
| ~ ( zip_tseitin_1 @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl8,zip_derived_cl9]) ).
thf(zip_derived_cl92,plain,
! [X0: $i] :
( ( X0
!= ( g @ sk__3 ) )
| ( X0
!= ( g @ ( f @ X0 ) ) )
| ( zip_tseitin_1 @ sk__2 ) ),
inference(clc,[status(thm)],[zip_derived_cl90,zip_derived_cl50]) ).
thf(zip_derived_cl95,plain,
! [X0: $i] :
( ( ( sk__1 @ X0 )
!= ( g @ sk__3 ) )
| ( zip_tseitin_1 @ sk__2 )
| ( X0
!= ( g @ ( f @ X0 ) ) )
| ( zip_tseitin_1 @ sk__2 )
| ( ( sk__1 @ X0 )
!= ( g @ sk__3 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl78,zip_derived_cl92]) ).
thf(zip_derived_cl99,plain,
! [X0: $i] :
( ( X0
!= ( g @ ( f @ X0 ) ) )
| ( zip_tseitin_1 @ sk__2 )
| ( ( sk__1 @ X0 )
!= ( g @ sk__3 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl95]) ).
thf(zip_derived_cl85_015,plain,
! [X0: $i] :
( ( ( sk__1 @ X0 )
= ( g @ sk__3 ) )
| ( zip_tseitin_1 @ sk__2 )
| ( X0
!= ( g @ ( f @ X0 ) ) ) ),
inference(clc,[status(thm)],[zip_derived_cl82,zip_derived_cl50]) ).
thf(zip_derived_cl121,plain,
! [X0: $i] :
( ( zip_tseitin_1 @ sk__2 )
| ( X0
!= ( g @ ( f @ X0 ) ) ) ),
inference(clc,[status(thm)],[zip_derived_cl99,zip_derived_cl85]) ).
thf(zip_derived_cl191,plain,
( ( ( g @ sk__3 )
!= ( g @ sk__3 ) )
| ( zip_tseitin_1 @ sk__2 ) ),
inference('sup-',[status(thm)],[zip_derived_cl185,zip_derived_cl121]) ).
thf(zip_derived_cl196,plain,
zip_tseitin_1 @ sk__2,
inference(simplify,[status(thm)],[zip_derived_cl191]) ).
thf(zip_derived_cl219,plain,
( sk__2
= ( g @ sk__3 ) ),
inference('sup+',[status(thm)],[zip_derived_cl195,zip_derived_cl196]) ).
thf(zip_derived_cl196_016,plain,
zip_tseitin_1 @ sk__2,
inference(simplify,[status(thm)],[zip_derived_cl191]) ).
thf(zip_derived_cl196_017,plain,
zip_tseitin_1 @ sk__2,
inference(simplify,[status(thm)],[zip_derived_cl191]) ).
thf(zip_derived_cl44_018,plain,
! [X0: $i,X1: $i] :
( ( ( sk_ @ X0 )
= ( f @ ( g @ ( sk_ @ X0 ) ) ) )
| ( X0
!= ( f @ ( g @ X0 ) ) )
| ~ ( zip_tseitin_1 @ X1 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl2,zip_derived_cl9]) ).
thf(zip_derived_cl200,plain,
! [X0: $i] :
( ( X0
!= ( f @ ( g @ X0 ) ) )
| ( ( sk_ @ X0 )
= ( f @ ( g @ ( sk_ @ X0 ) ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl196,zip_derived_cl44]) ).
thf(zip_derived_cl4_019,plain,
! [X0: $i,X1: $i] :
( ( X0
!= ( g @ ( f @ X0 ) ) )
| ( X1 = X0 )
| ~ ( zip_tseitin_1 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl248,plain,
! [X0: $i,X1: $i] :
( ( ( g @ ( sk_ @ X0 ) )
!= ( g @ ( sk_ @ X0 ) ) )
| ( X0
!= ( f @ ( g @ X0 ) ) )
| ~ ( zip_tseitin_1 @ X1 )
| ( X1
= ( g @ ( sk_ @ X0 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl200,zip_derived_cl4]) ).
thf(zip_derived_cl249,plain,
! [X0: $i,X1: $i] :
( ( X1
= ( g @ ( sk_ @ X0 ) ) )
| ~ ( zip_tseitin_1 @ X1 )
| ( X0
!= ( f @ ( g @ X0 ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl248]) ).
thf(zip_derived_cl259,plain,
! [X0: $i] :
( ( X0
!= ( f @ ( g @ X0 ) ) )
| ( sk__2
= ( g @ ( sk_ @ X0 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl196,zip_derived_cl249]) ).
thf(zip_derived_cl200_020,plain,
! [X0: $i] :
( ( X0
!= ( f @ ( g @ X0 ) ) )
| ( ( sk_ @ X0 )
= ( f @ ( g @ ( sk_ @ X0 ) ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl196,zip_derived_cl44]) ).
thf(zip_derived_cl260,plain,
! [X0: $i] :
( ( ( sk_ @ X0 )
= ( f @ sk__2 ) )
| ( X0
!= ( f @ ( g @ X0 ) ) )
| ( X0
!= ( f @ ( g @ X0 ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl259,zip_derived_cl200]) ).
thf(zip_derived_cl185_021,plain,
( sk__3
= ( f @ ( g @ sk__3 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl180]) ).
thf(zip_derived_cl219_022,plain,
( sk__2
= ( g @ sk__3 ) ),
inference('sup+',[status(thm)],[zip_derived_cl195,zip_derived_cl196]) ).
thf(zip_derived_cl221,plain,
( sk__3
= ( f @ sk__2 ) ),
inference(demod,[status(thm)],[zip_derived_cl185,zip_derived_cl219]) ).
thf(zip_derived_cl261,plain,
! [X0: $i] :
( ( ( sk_ @ X0 )
= sk__3 )
| ( X0
!= ( f @ ( g @ X0 ) ) )
| ( X0
!= ( f @ ( g @ X0 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl260,zip_derived_cl221]) ).
thf(zip_derived_cl262,plain,
! [X0: $i] :
( ( X0
!= ( f @ ( g @ X0 ) ) )
| ( ( sk_ @ X0 )
= sk__3 ) ),
inference(simplify,[status(thm)],[zip_derived_cl261]) ).
thf(zip_derived_cl196_023,plain,
zip_tseitin_1 @ sk__2,
inference(simplify,[status(thm)],[zip_derived_cl191]) ).
thf(zip_derived_cl47_024,plain,
! [X0: $i,X1: $i] :
( ( X0
!= ( sk_ @ X0 ) )
| ( X0
!= ( f @ ( g @ X0 ) ) )
| ~ ( zip_tseitin_1 @ X1 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl3,zip_derived_cl9]) ).
thf(zip_derived_cl201,plain,
! [X0: $i] :
( ( X0
!= ( f @ ( g @ X0 ) ) )
| ( X0
!= ( sk_ @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl196,zip_derived_cl47]) ).
thf(zip_derived_cl264,plain,
! [X0: $i] :
( ( X0 != sk__3 )
| ( X0
!= ( f @ ( g @ X0 ) ) )
| ( X0
!= ( f @ ( g @ X0 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl262,zip_derived_cl201]) ).
thf(zip_derived_cl268,plain,
! [X0: $i] :
( ( X0
!= ( f @ ( g @ X0 ) ) )
| ( X0 != sk__3 ) ),
inference(simplify,[status(thm)],[zip_derived_cl264]) ).
thf(zip_derived_cl273,plain,
( ( sk__3
!= ( f @ sk__2 ) )
| ( sk__3 != sk__3 ) ),
inference('sup-',[status(thm)],[zip_derived_cl219,zip_derived_cl268]) ).
thf(zip_derived_cl221_025,plain,
( sk__3
= ( f @ sk__2 ) ),
inference(demod,[status(thm)],[zip_derived_cl185,zip_derived_cl219]) ).
thf(zip_derived_cl278,plain,
( ( sk__3 != sk__3 )
| ( sk__3 != sk__3 ) ),
inference(demod,[status(thm)],[zip_derived_cl273,zip_derived_cl221]) ).
thf(zip_derived_cl279,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl278]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SYN417+1 : TPTP v8.1.2. Released v2.0.0.
% 0.14/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.PLXvCl2HlN true
% 0.14/0.36 % Computer : n004.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Sat Aug 26 20:19:08 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % Running portfolio for 300 s
% 0.14/0.36 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.36 % Number of cores: 8
% 0.14/0.36 % Python version: Python 3.6.8
% 0.14/0.37 % Running in FO mode
% 0.22/0.68 % Total configuration time : 435
% 0.22/0.68 % Estimated wc time : 1092
% 0.22/0.68 % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 1.08/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 1.08/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 1.08/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.08/0.77 % Solved by fo/fo3_bce.sh.
% 1.08/0.77 % BCE start: 10
% 1.08/0.77 % BCE eliminated: 0
% 1.08/0.77 % PE start: 10
% 1.08/0.77 logic: eq
% 1.08/0.77 % PE eliminated: -1
% 1.08/0.77 % done 75 iterations in 0.028s
% 1.08/0.77 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.08/0.77 % SZS output start Refutation
% See solution above
% 1.08/0.77
% 1.08/0.77
% 1.08/0.77 % Terminating...
% 1.44/0.87 % Runner terminated.
% 1.44/0.88 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------