TSTP Solution File: SYN084+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SYN084+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.fwVxR5MdVt true
% Computer : n009.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 04:01:39 EDT 2023
% Result : Theorem 0.56s 0.77s
% Output : Refutation 0.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 22
% Syntax : Number of formulae : 109 ( 1 unt; 15 typ; 0 def)
% Number of atoms : 304 ( 0 equ; 0 cnn)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 774 ( 152 ~; 142 |; 12 &; 412 @)
% ( 8 <=>; 4 =>; 44 <=; 0 <~>)
% Maximal formula depth : 10 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 12 ( 12 >; 0 *; 0 +; 0 <<)
% Number of symbols : 11 ( 10 usr; 4 con; 0-1 aty)
% Number of variables : 112 ( 0 ^; 112 !; 0 ?; 112 :)
% Comments :
%------------------------------------------------------------------------------
thf(zip_tseitin_1_type,type,
zip_tseitin_1: $i > $o ).
thf(big_p_type,type,
big_p: $i > $o ).
thf(zip_tseitin_4_type,type,
zip_tseitin_4: $i > $o ).
thf(zip_tseitin_3_type,type,
zip_tseitin_3: $i > $o ).
thf(a_type,type,
a: $i ).
thf(f_type,type,
f: $i > $i ).
thf(sk__1_type,type,
sk__1: $i ).
thf(sk__type,type,
sk_: $i ).
thf(zip_tseitin_0_type,type,
zip_tseitin_0: $i > $o ).
thf(zip_tseitin_2_type,type,
zip_tseitin_2: $i > $o ).
thf(pel62,conjecture,
( ! [X: $i] :
( ( ( ( big_p @ X )
=> ( big_p @ ( f @ X ) ) )
& ( big_p @ a ) )
=> ( big_p @ ( f @ ( f @ X ) ) ) )
<=> ! [X1: $i] :
( ( ~ ( big_p @ a )
| ( big_p @ X1 )
| ( big_p @ ( f @ ( f @ X1 ) ) ) )
& ( ~ ( big_p @ a )
| ~ ( big_p @ ( f @ X1 ) )
| ( big_p @ ( f @ ( f @ X1 ) ) ) ) ) ) ).
thf(zf_stmt_0,axiom,
! [X1: $i] :
( ( zip_tseitin_2 @ X1 )
<=> ( ( big_p @ ( f @ ( f @ X1 ) ) )
| ( big_p @ X1 )
| ~ ( big_p @ a ) ) ) ).
thf(zip_derived_cl7,plain,
! [X0: $i] :
( ~ ( big_p @ a )
| ( big_p @ X0 )
| ( big_p @ ( f @ ( f @ X0 ) ) )
| ~ ( zip_tseitin_2 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('0',plain,
( ! [X0: $i] :
( ( big_p @ X0 )
| ( big_p @ ( f @ ( f @ X0 ) ) )
| ~ ( zip_tseitin_2 @ X0 ) )
| ~ ( big_p @ a ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zf_stmt_1,axiom,
! [X: $i] :
( ( zip_tseitin_1 @ X )
<=> ( ( ( big_p @ a )
& ( zip_tseitin_0 @ X ) )
=> ( big_p @ ( f @ ( f @ X ) ) ) ) ) ).
thf(zip_derived_cl5,plain,
! [X0: $i] :
( ( zip_tseitin_1 @ X0 )
| ( zip_tseitin_0 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zf_stmt_2,axiom,
! [X: $i] :
( ( zip_tseitin_0 @ X )
<=> ( ( big_p @ X )
=> ( big_p @ ( f @ X ) ) ) ) ).
thf(zip_derived_cl0,plain,
! [X0: $i] :
( ~ ( big_p @ X0 )
| ( big_p @ ( f @ X0 ) )
| ~ ( zip_tseitin_0 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_2]) ).
thf(zip_derived_cl49,plain,
! [X0: $i] :
( ( zip_tseitin_1 @ X0 )
| ~ ( big_p @ X0 )
| ( big_p @ ( f @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl0]) ).
thf(zf_stmt_3,type,
zip_tseitin_4: $i > $o ).
thf(zf_stmt_4,axiom,
! [X1: $i] :
( ( zip_tseitin_4 @ X1 )
<=> ( ( zip_tseitin_3 @ X1 )
& ( zip_tseitin_2 @ X1 ) ) ) ).
thf(zf_stmt_5,type,
zip_tseitin_3: $i > $o ).
thf(zf_stmt_6,axiom,
! [X1: $i] :
( ( zip_tseitin_3 @ X1 )
<=> ( ( big_p @ ( f @ ( f @ X1 ) ) )
| ~ ( big_p @ ( f @ X1 ) )
| ~ ( big_p @ a ) ) ) ).
thf(zf_stmt_7,type,
zip_tseitin_2: $i > $o ).
thf(zf_stmt_8,type,
zip_tseitin_1: $i > $o ).
thf(zf_stmt_9,type,
zip_tseitin_0: $i > $o ).
thf(zf_stmt_10,conjecture,
( ! [X: $i] : ( zip_tseitin_1 @ X )
<=> ! [X1: $i] : ( zip_tseitin_4 @ X1 ) ) ).
thf(zf_stmt_11,negated_conjecture,
~ ( ! [X: $i] : ( zip_tseitin_1 @ X )
<=> ! [X1: $i] : ( zip_tseitin_4 @ X1 ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_10]) ).
thf(zip_derived_cl19,plain,
( ~ ( zip_tseitin_4 @ sk_ )
| ~ ( zip_tseitin_1 @ sk__1 ) ),
inference(cnf,[status(esa)],[zf_stmt_11]) ).
thf(zip_derived_cl34,plain,
( ~ ( zip_tseitin_1 @ sk__1 )
<= ~ ( zip_tseitin_1 @ sk__1 ) ),
inference(split,[status(esa)],[zip_derived_cl19]) ).
thf(zip_derived_cl99,plain,
( ( ( big_p @ ( f @ sk__1 ) )
| ~ ( big_p @ sk__1 ) )
<= ~ ( zip_tseitin_1 @ sk__1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl49,zip_derived_cl34]) ).
thf(zip_derived_cl128,plain,
( ~ ( big_p @ sk__1 )
<= ~ ( big_p @ sk__1 ) ),
inference(split,[status(esa)],[zip_derived_cl99]) ).
thf(zip_derived_cl18,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_4 @ X0 )
| ( zip_tseitin_1 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_11]) ).
thf(zip_derived_cl33,plain,
( ! [X0: $i] : ( zip_tseitin_4 @ X0 )
<= ! [X0: $i] : ( zip_tseitin_4 @ X0 ) ),
inference(split,[status(esa)],[zip_derived_cl18]) ).
thf(zip_derived_cl16,plain,
! [X0: $i] :
( ( zip_tseitin_2 @ X0 )
| ~ ( zip_tseitin_4 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_4]) ).
thf(zip_derived_cl86,plain,
( ! [X0: $i] : ( zip_tseitin_2 @ X0 )
<= ! [X0: $i] : ( zip_tseitin_4 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl33,zip_derived_cl16]) ).
thf(zip_derived_cl24,plain,
( ! [X0: $i] :
( ( big_p @ X0 )
| ( big_p @ ( f @ ( f @ X0 ) ) )
| ~ ( zip_tseitin_2 @ X0 ) )
<= ! [X0: $i] :
( ( big_p @ X0 )
| ( big_p @ ( f @ ( f @ X0 ) ) )
| ~ ( zip_tseitin_2 @ X0 ) ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl4,plain,
! [X0: $i] :
( ( zip_tseitin_1 @ X0 )
| ~ ( big_p @ ( f @ ( f @ X0 ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl44,plain,
( ! [X0: $i] :
( ~ ( zip_tseitin_2 @ X0 )
| ( big_p @ X0 )
| ( zip_tseitin_1 @ X0 ) )
<= ! [X0: $i] :
( ( big_p @ X0 )
| ( big_p @ ( f @ ( f @ X0 ) ) )
| ~ ( zip_tseitin_2 @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl24,zip_derived_cl4]) ).
thf(zip_derived_cl87,plain,
( ! [X0: $i] :
( ( big_p @ X0 )
| ( zip_tseitin_1 @ X0 ) )
<= ( ! [X0: $i] :
( ( big_p @ X0 )
| ( big_p @ ( f @ ( f @ X0 ) ) )
| ~ ( zip_tseitin_2 @ X0 ) )
& ! [X0: $i] : ( zip_tseitin_4 @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl86,zip_derived_cl44]) ).
thf(zip_derived_cl34_001,plain,
( ~ ( zip_tseitin_1 @ sk__1 )
<= ~ ( zip_tseitin_1 @ sk__1 ) ),
inference(split,[status(esa)],[zip_derived_cl19]) ).
thf(zip_derived_cl96,plain,
( ( big_p @ sk__1 )
<= ( ~ ( zip_tseitin_1 @ sk__1 )
& ! [X0: $i] :
( ( big_p @ X0 )
| ( big_p @ ( f @ ( f @ X0 ) ) )
| ~ ( zip_tseitin_2 @ X0 ) )
& ! [X0: $i] : ( zip_tseitin_4 @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl87,zip_derived_cl34]) ).
thf('1',plain,
( ( big_p @ sk__1 )
| ~ ! [X0: $i] :
( ( big_p @ X0 )
| ( big_p @ ( f @ ( f @ X0 ) ) )
| ~ ( zip_tseitin_2 @ X0 ) )
| ~ ! [X0: $i] : ( zip_tseitin_4 @ X0 )
| ( zip_tseitin_1 @ sk__1 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl128,zip_derived_cl96]) ).
thf(zip_derived_cl33_002,plain,
( ! [X0: $i] : ( zip_tseitin_4 @ X0 )
<= ! [X0: $i] : ( zip_tseitin_4 @ X0 ) ),
inference(split,[status(esa)],[zip_derived_cl18]) ).
thf(zip_derived_cl35,plain,
( ~ ( zip_tseitin_4 @ sk_ )
<= ~ ( zip_tseitin_4 @ sk_ ) ),
inference(split,[status(esa)],[zip_derived_cl19]) ).
thf('2',plain,
( ( zip_tseitin_4 @ sk_ )
| ~ ! [X0: $i] : ( zip_tseitin_4 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl33,zip_derived_cl35]) ).
thf(zip_derived_cl14,plain,
! [X0: $i] :
( ( zip_tseitin_3 @ X0 )
| ( big_p @ a ) ),
inference(cnf,[status(esa)],[zf_stmt_6]) ).
thf('3',plain,
( ( big_p @ a )
| ! [X0: $i] : ( zip_tseitin_3 @ X0 ) ),
inference(split,[status(esa)],[zip_derived_cl14]) ).
thf(zip_derived_cl17,plain,
! [X0: $i] :
( ( zip_tseitin_4 @ X0 )
| ~ ( zip_tseitin_2 @ X0 )
| ~ ( zip_tseitin_3 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_4]) ).
thf(zip_derived_cl35_003,plain,
( ~ ( zip_tseitin_4 @ sk_ )
<= ~ ( zip_tseitin_4 @ sk_ ) ),
inference(split,[status(esa)],[zip_derived_cl19]) ).
thf(zip_derived_cl102,plain,
( ( ~ ( zip_tseitin_3 @ sk_ )
| ~ ( zip_tseitin_2 @ sk_ ) )
<= ~ ( zip_tseitin_4 @ sk_ ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl17,zip_derived_cl35]) ).
thf(zip_derived_cl104,plain,
( ~ ( zip_tseitin_3 @ sk_ )
<= ~ ( zip_tseitin_3 @ sk_ ) ),
inference(split,[status(esa)],[zip_derived_cl102]) ).
thf(zip_derived_cl3,plain,
! [X0: $i] :
( ~ ( big_p @ a )
| ~ ( zip_tseitin_0 @ X0 )
| ( big_p @ ( f @ ( f @ X0 ) ) )
| ~ ( zip_tseitin_1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl20,plain,
( ! [X0: $i] :
( ~ ( zip_tseitin_0 @ X0 )
| ( big_p @ ( f @ ( f @ X0 ) ) )
| ~ ( zip_tseitin_1 @ X0 ) )
<= ! [X0: $i] :
( ~ ( zip_tseitin_0 @ X0 )
| ( big_p @ ( f @ ( f @ X0 ) ) )
| ~ ( zip_tseitin_1 @ X0 ) ) ),
inference(split,[status(esa)],[zip_derived_cl3]) ).
thf(zip_derived_cl12,plain,
! [X0: $i] :
( ( zip_tseitin_3 @ X0 )
| ~ ( big_p @ ( f @ ( f @ X0 ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_6]) ).
thf(zip_derived_cl62,plain,
( ! [X0: $i] :
( ~ ( zip_tseitin_1 @ X0 )
| ~ ( zip_tseitin_0 @ X0 )
| ( zip_tseitin_3 @ X0 ) )
<= ! [X0: $i] :
( ~ ( zip_tseitin_0 @ X0 )
| ( big_p @ ( f @ ( f @ X0 ) ) )
| ~ ( zip_tseitin_1 @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl20,zip_derived_cl12]) ).
thf(zip_derived_cl1,plain,
! [X0: $i] :
( ( zip_tseitin_0 @ X0 )
| ~ ( big_p @ ( f @ X0 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_2]) ).
thf(zip_derived_cl75,plain,
( ! [X0: $i] :
( ( zip_tseitin_3 @ X0 )
| ~ ( zip_tseitin_1 @ X0 )
| ~ ( big_p @ ( f @ X0 ) ) )
<= ! [X0: $i] :
( ~ ( zip_tseitin_0 @ X0 )
| ( big_p @ ( f @ ( f @ X0 ) ) )
| ~ ( zip_tseitin_1 @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl62,zip_derived_cl1]) ).
thf(zip_derived_cl13,plain,
! [X0: $i] :
( ( zip_tseitin_3 @ X0 )
| ( big_p @ ( f @ X0 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_6]) ).
thf(zip_derived_cl88,plain,
( ! [X0: $i] :
( ~ ( zip_tseitin_1 @ X0 )
| ( zip_tseitin_3 @ X0 ) )
<= ! [X0: $i] :
( ~ ( zip_tseitin_0 @ X0 )
| ( big_p @ ( f @ ( f @ X0 ) ) )
| ~ ( zip_tseitin_1 @ X0 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl75,zip_derived_cl13]) ).
thf(zip_derived_cl110,plain,
( ~ ( zip_tseitin_1 @ sk_ )
<= ( ~ ( zip_tseitin_3 @ sk_ )
& ! [X0: $i] :
( ~ ( zip_tseitin_0 @ X0 )
| ( big_p @ ( f @ ( f @ X0 ) ) )
| ~ ( zip_tseitin_1 @ X0 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl104,zip_derived_cl88]) ).
thf(zip_derived_cl6,plain,
! [X0: $i] :
( ( zip_tseitin_1 @ X0 )
| ( big_p @ a ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl22,plain,
( ! [X0: $i] : ( zip_tseitin_1 @ X0 )
<= ! [X0: $i] : ( zip_tseitin_1 @ X0 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf('4',plain,
( ( zip_tseitin_3 @ sk_ )
| ~ ! [X0: $i] :
( ~ ( zip_tseitin_0 @ X0 )
| ( big_p @ ( f @ ( f @ X0 ) ) )
| ~ ( zip_tseitin_1 @ X0 ) )
| ~ ! [X0: $i] : ( zip_tseitin_1 @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl110,zip_derived_cl22]) ).
thf(zip_derived_cl104_004,plain,
( ~ ( zip_tseitin_3 @ sk_ )
<= ~ ( zip_tseitin_3 @ sk_ ) ),
inference(split,[status(esa)],[zip_derived_cl102]) ).
thf(zip_derived_cl30,plain,
( ! [X0: $i] : ( zip_tseitin_3 @ X0 )
<= ! [X0: $i] : ( zip_tseitin_3 @ X0 ) ),
inference(split,[status(esa)],[zip_derived_cl14]) ).
thf('5',plain,
( ~ ! [X0: $i] : ( zip_tseitin_3 @ X0 )
| ( zip_tseitin_3 @ sk_ ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl104,zip_derived_cl30]) ).
thf('6',plain,
( ( zip_tseitin_4 @ sk_ )
| ~ ( zip_tseitin_3 @ sk_ )
| ~ ( zip_tseitin_2 @ sk_ ) ),
inference(split,[status(esa)],[zip_derived_cl102]) ).
thf('7',plain,
( ! [X0: $i] : ( zip_tseitin_4 @ X0 )
| ! [X0: $i] : ( zip_tseitin_1 @ X0 ) ),
inference(split,[status(esa)],[zip_derived_cl18]) ).
thf(zip_derived_cl10,plain,
! [X0: $i] :
( ( zip_tseitin_2 @ X0 )
| ( big_p @ a ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('8',plain,
( ( big_p @ a )
| ! [X0: $i] : ( zip_tseitin_2 @ X0 ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl105,plain,
( ~ ( zip_tseitin_2 @ sk_ )
<= ~ ( zip_tseitin_2 @ sk_ ) ),
inference(split,[status(esa)],[zip_derived_cl102]) ).
thf(zip_derived_cl86_005,plain,
( ! [X0: $i] : ( zip_tseitin_2 @ X0 )
<= ! [X0: $i] : ( zip_tseitin_4 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl33,zip_derived_cl16]) ).
thf('9',plain,
( ( zip_tseitin_2 @ sk_ )
| ~ ! [X0: $i] : ( zip_tseitin_4 @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl105,zip_derived_cl86]) ).
thf(zip_derived_cl105_006,plain,
( ~ ( zip_tseitin_2 @ sk_ )
<= ~ ( zip_tseitin_2 @ sk_ ) ),
inference(split,[status(esa)],[zip_derived_cl102]) ).
thf(zip_derived_cl26,plain,
( ! [X0: $i] : ( zip_tseitin_2 @ X0 )
<= ! [X0: $i] : ( zip_tseitin_2 @ X0 ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf('10',plain,
( ~ ! [X0: $i] : ( zip_tseitin_2 @ X0 )
| ( zip_tseitin_2 @ sk_ ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl105,zip_derived_cl26]) ).
thf(zip_derived_cl105_007,plain,
( ~ ( zip_tseitin_2 @ sk_ )
<= ~ ( zip_tseitin_2 @ sk_ ) ),
inference(split,[status(esa)],[zip_derived_cl102]) ).
thf(zip_derived_cl20_008,plain,
( ! [X0: $i] :
( ~ ( zip_tseitin_0 @ X0 )
| ( big_p @ ( f @ ( f @ X0 ) ) )
| ~ ( zip_tseitin_1 @ X0 ) )
<= ! [X0: $i] :
( ~ ( zip_tseitin_0 @ X0 )
| ( big_p @ ( f @ ( f @ X0 ) ) )
| ~ ( zip_tseitin_1 @ X0 ) ) ),
inference(split,[status(esa)],[zip_derived_cl3]) ).
thf(zip_derived_cl8,plain,
! [X0: $i] :
( ( zip_tseitin_2 @ X0 )
| ~ ( big_p @ ( f @ ( f @ X0 ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl55,plain,
( ! [X0: $i] :
( ~ ( zip_tseitin_1 @ X0 )
| ~ ( zip_tseitin_0 @ X0 )
| ( zip_tseitin_2 @ X0 ) )
<= ! [X0: $i] :
( ~ ( zip_tseitin_0 @ X0 )
| ( big_p @ ( f @ ( f @ X0 ) ) )
| ~ ( zip_tseitin_1 @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl20,zip_derived_cl8]) ).
thf(zip_derived_cl2,plain,
! [X0: $i] :
( ( zip_tseitin_0 @ X0 )
| ( big_p @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_2]) ).
thf(zip_derived_cl70,plain,
( ! [X0: $i] :
( ( zip_tseitin_2 @ X0 )
| ~ ( zip_tseitin_1 @ X0 )
| ( big_p @ X0 ) )
<= ! [X0: $i] :
( ~ ( zip_tseitin_0 @ X0 )
| ( big_p @ ( f @ ( f @ X0 ) ) )
| ~ ( zip_tseitin_1 @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl55,zip_derived_cl2]) ).
thf(zip_derived_cl9,plain,
! [X0: $i] :
( ( zip_tseitin_2 @ X0 )
| ~ ( big_p @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl93,plain,
( ! [X0: $i] :
( ~ ( zip_tseitin_1 @ X0 )
| ( zip_tseitin_2 @ X0 ) )
<= ! [X0: $i] :
( ~ ( zip_tseitin_0 @ X0 )
| ( big_p @ ( f @ ( f @ X0 ) ) )
| ~ ( zip_tseitin_1 @ X0 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl70,zip_derived_cl9]) ).
thf(zip_derived_cl120,plain,
( ~ ( zip_tseitin_1 @ sk_ )
<= ( ~ ( zip_tseitin_2 @ sk_ )
& ! [X0: $i] :
( ~ ( zip_tseitin_0 @ X0 )
| ( big_p @ ( f @ ( f @ X0 ) ) )
| ~ ( zip_tseitin_1 @ X0 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl105,zip_derived_cl93]) ).
thf(zip_derived_cl22_009,plain,
( ! [X0: $i] : ( zip_tseitin_1 @ X0 )
<= ! [X0: $i] : ( zip_tseitin_1 @ X0 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf('11',plain,
( ( zip_tseitin_2 @ sk_ )
| ~ ! [X0: $i] :
( ~ ( zip_tseitin_0 @ X0 )
| ( big_p @ ( f @ ( f @ X0 ) ) )
| ~ ( zip_tseitin_1 @ X0 ) )
| ~ ! [X0: $i] : ( zip_tseitin_1 @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl120,zip_derived_cl22]) ).
thf('12',plain,
( ~ ( zip_tseitin_1 @ sk__1 )
| ~ ( zip_tseitin_4 @ sk_ ) ),
inference(split,[status(esa)],[zip_derived_cl19]) ).
thf(zip_derived_cl22_010,plain,
( ! [X0: $i] : ( zip_tseitin_1 @ X0 )
<= ! [X0: $i] : ( zip_tseitin_1 @ X0 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl34_011,plain,
( ~ ( zip_tseitin_1 @ sk__1 )
<= ~ ( zip_tseitin_1 @ sk__1 ) ),
inference(split,[status(esa)],[zip_derived_cl19]) ).
thf('13',plain,
( ~ ! [X0: $i] : ( zip_tseitin_1 @ X0 )
| ( zip_tseitin_1 @ sk__1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl22,zip_derived_cl34]) ).
thf('14',plain,
( ! [X0: $i] :
( ~ ( zip_tseitin_0 @ X0 )
| ( big_p @ ( f @ ( f @ X0 ) ) )
| ~ ( zip_tseitin_1 @ X0 ) )
| ~ ( big_p @ a ) ),
inference(split,[status(esa)],[zip_derived_cl3]) ).
thf('15',plain,
( ( big_p @ a )
| ! [X0: $i] : ( zip_tseitin_1 @ X0 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl11,plain,
! [X0: $i] :
( ~ ( big_p @ a )
| ~ ( big_p @ ( f @ X0 ) )
| ( big_p @ ( f @ ( f @ X0 ) ) )
| ~ ( zip_tseitin_3 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_6]) ).
thf('16',plain,
( ! [X0: $i] :
( ~ ( big_p @ ( f @ X0 ) )
| ( big_p @ ( f @ ( f @ X0 ) ) )
| ~ ( zip_tseitin_3 @ X0 ) )
| ~ ( big_p @ a ) ),
inference(split,[status(esa)],[zip_derived_cl11]) ).
thf(zip_derived_cl129,plain,
( ( big_p @ ( f @ sk__1 ) )
<= ( big_p @ ( f @ sk__1 ) ) ),
inference(split,[status(esa)],[zip_derived_cl99]) ).
thf(zip_derived_cl33_012,plain,
( ! [X0: $i] : ( zip_tseitin_4 @ X0 )
<= ! [X0: $i] : ( zip_tseitin_4 @ X0 ) ),
inference(split,[status(esa)],[zip_derived_cl18]) ).
thf(zip_derived_cl15,plain,
! [X0: $i] :
( ( zip_tseitin_3 @ X0 )
| ~ ( zip_tseitin_4 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_4]) ).
thf(zip_derived_cl82,plain,
( ! [X0: $i] : ( zip_tseitin_3 @ X0 )
<= ! [X0: $i] : ( zip_tseitin_4 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl33,zip_derived_cl15]) ).
thf(zip_derived_cl28,plain,
( ! [X0: $i] :
( ~ ( big_p @ ( f @ X0 ) )
| ( big_p @ ( f @ ( f @ X0 ) ) )
| ~ ( zip_tseitin_3 @ X0 ) )
<= ! [X0: $i] :
( ~ ( big_p @ ( f @ X0 ) )
| ( big_p @ ( f @ ( f @ X0 ) ) )
| ~ ( zip_tseitin_3 @ X0 ) ) ),
inference(split,[status(esa)],[zip_derived_cl11]) ).
thf(zip_derived_cl4_013,plain,
! [X0: $i] :
( ( zip_tseitin_1 @ X0 )
| ~ ( big_p @ ( f @ ( f @ X0 ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl45,plain,
( ! [X0: $i] :
( ~ ( zip_tseitin_3 @ X0 )
| ~ ( big_p @ ( f @ X0 ) )
| ( zip_tseitin_1 @ X0 ) )
<= ! [X0: $i] :
( ~ ( big_p @ ( f @ X0 ) )
| ( big_p @ ( f @ ( f @ X0 ) ) )
| ~ ( zip_tseitin_3 @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl28,zip_derived_cl4]) ).
thf(zip_derived_cl83,plain,
( ! [X0: $i] :
( ~ ( big_p @ ( f @ X0 ) )
| ( zip_tseitin_1 @ X0 ) )
<= ( ! [X0: $i] :
( ~ ( big_p @ ( f @ X0 ) )
| ( big_p @ ( f @ ( f @ X0 ) ) )
| ~ ( zip_tseitin_3 @ X0 ) )
& ! [X0: $i] : ( zip_tseitin_4 @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl82,zip_derived_cl45]) ).
thf(zip_derived_cl34_014,plain,
( ~ ( zip_tseitin_1 @ sk__1 )
<= ~ ( zip_tseitin_1 @ sk__1 ) ),
inference(split,[status(esa)],[zip_derived_cl19]) ).
thf(zip_derived_cl85,plain,
( ~ ( big_p @ ( f @ sk__1 ) )
<= ( ~ ( zip_tseitin_1 @ sk__1 )
& ! [X0: $i] :
( ~ ( big_p @ ( f @ X0 ) )
| ( big_p @ ( f @ ( f @ X0 ) ) )
| ~ ( zip_tseitin_3 @ X0 ) )
& ! [X0: $i] : ( zip_tseitin_4 @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl83,zip_derived_cl34]) ).
thf('17',plain,
( ~ ( big_p @ ( f @ sk__1 ) )
| ~ ! [X0: $i] :
( ~ ( big_p @ ( f @ X0 ) )
| ( big_p @ ( f @ ( f @ X0 ) ) )
| ~ ( zip_tseitin_3 @ X0 ) )
| ~ ! [X0: $i] : ( zip_tseitin_4 @ X0 )
| ( zip_tseitin_1 @ sk__1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl129,zip_derived_cl85]) ).
thf('18',plain,
( ( big_p @ ( f @ sk__1 ) )
| ( zip_tseitin_1 @ sk__1 )
| ~ ( big_p @ sk__1 ) ),
inference(split,[status(esa)],[zip_derived_cl99]) ).
thf(zip_derived_cl176,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']) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : SYN084+1 : TPTP v8.1.2. Released v2.0.0.
% 0.07/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.fwVxR5MdVt true
% 0.12/0.33 % Computer : n009.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Sat Aug 26 17:04:05 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.12/0.34 % Running portfolio for 300 s
% 0.12/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.34 % Number of cores: 8
% 0.12/0.34 % Python version: Python 3.6.8
% 0.12/0.34 % Running in FO mode
% 0.54/0.63 % Total configuration time : 435
% 0.54/0.63 % Estimated wc time : 1092
% 0.54/0.63 % Estimated cpu time (7 cpus) : 156.0
% 0.55/0.71 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.55/0.73 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.55/0.73 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.55/0.74 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.55/0.75 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.55/0.75 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.55/0.75 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.56/0.77 % Solved by fo/fo1_av.sh.
% 0.56/0.77 % done 105 iterations in 0.024s
% 0.56/0.77 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.56/0.77 % SZS output start Refutation
% See solution above
% 0.56/0.77
% 0.56/0.77
% 0.56/0.77 % Terminating...
% 1.80/0.84 % Runner terminated.
% 1.80/0.85 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------