TSTP Solution File: NUM537+2 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUM537+2 : 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.denBZuVljU true
% Computer : n022.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 : Thu Aug 31 12:42:12 EDT 2023
% Result : Theorem 0.58s 0.91s
% Output : Refutation 0.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 29
% Syntax : Number of formulae : 94 ( 12 unt; 18 typ; 0 def)
% Number of atoms : 249 ( 28 equ; 0 cnn)
% Maximal formula atoms : 26 ( 3 avg)
% Number of connectives : 808 ( 72 ~; 100 |; 31 &; 563 @)
% ( 20 <=>; 22 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 22 ( 22 >; 0 *; 0 +; 0 <<)
% Number of symbols : 16 ( 14 usr; 5 con; 0-3 aty)
% Number of variables : 86 ( 0 ^; 86 !; 0 ?; 86 :)
% Comments :
%------------------------------------------------------------------------------
thf(aSet0_type,type,
aSet0: $i > $o ).
thf(xx_type,type,
xx: $i ).
thf(sk__4_type,type,
sk__4: $i ).
thf(aElement0_type,type,
aElement0: $i > $o ).
thf(zip_tseitin_0_type,type,
zip_tseitin_0: $i > $i > $i > $o ).
thf(zip_tseitin_3_type,type,
zip_tseitin_3: $i > $o ).
thf(sk__5_type,type,
sk__5: $i ).
thf(zip_tseitin_2_type,type,
zip_tseitin_2: $i > $o ).
thf(sdtmndt0_type,type,
sdtmndt0: $i > $i > $i ).
thf(aSubsetOf0_type,type,
aSubsetOf0: $i > $i > $o ).
thf(sdtpldt0_type,type,
sdtpldt0: $i > $i > $i ).
thf(zip_tseitin_4_type,type,
zip_tseitin_4: $i > $o ).
thf(xS_type,type,
xS: $i ).
thf(aElementOf0_type,type,
aElementOf0: $i > $i > $o ).
thf(m__,conjecture,
( ( ( ! [W0: $i] :
( ( aElementOf0 @ W0 @ ( sdtpldt0 @ xS @ xx ) )
<=> ( ( ( W0 = xx )
| ( aElementOf0 @ W0 @ xS ) )
& ( aElement0 @ W0 ) ) )
& ( aSet0 @ ( sdtpldt0 @ xS @ xx ) ) )
=> ( ( ! [W0: $i] :
( ( aElementOf0 @ W0 @ ( sdtmndt0 @ ( sdtpldt0 @ xS @ xx ) @ xx ) )
<=> ( ( W0 != xx )
& ( aElementOf0 @ W0 @ ( sdtpldt0 @ xS @ xx ) )
& ( aElement0 @ W0 ) ) )
& ( aSet0 @ ( sdtmndt0 @ ( sdtpldt0 @ xS @ xx ) @ xx ) ) )
=> ( ( aSubsetOf0 @ ( sdtmndt0 @ ( sdtpldt0 @ xS @ xx ) @ xx ) @ xS )
| ! [W0: $i] :
( ( aElementOf0 @ W0 @ ( sdtmndt0 @ ( sdtpldt0 @ xS @ xx ) @ xx ) )
=> ( aElementOf0 @ W0 @ xS ) ) ) ) )
& ( ( ! [W0: $i] :
( ( aElementOf0 @ W0 @ ( sdtpldt0 @ xS @ xx ) )
<=> ( ( ( W0 = xx )
| ( aElementOf0 @ W0 @ xS ) )
& ( aElement0 @ W0 ) ) )
& ( aSet0 @ ( sdtpldt0 @ xS @ xx ) ) )
=> ( ( ! [W0: $i] :
( ( aElementOf0 @ W0 @ ( sdtmndt0 @ ( sdtpldt0 @ xS @ xx ) @ xx ) )
<=> ( ( W0 != xx )
& ( aElementOf0 @ W0 @ ( sdtpldt0 @ xS @ xx ) )
& ( aElement0 @ W0 ) ) )
& ( aSet0 @ ( sdtmndt0 @ ( sdtpldt0 @ xS @ xx ) @ xx ) ) )
=> ( ( aSubsetOf0 @ xS @ ( sdtmndt0 @ ( sdtpldt0 @ xS @ xx ) @ xx ) )
| ! [W0: $i] :
( ( aElementOf0 @ W0 @ xS )
=> ( aElementOf0 @ W0 @ ( sdtmndt0 @ ( sdtpldt0 @ xS @ xx ) @ xx ) ) ) ) ) ) ) ).
thf(zf_stmt_0,type,
zip_tseitin_4: $i > $o ).
thf(zf_stmt_1,axiom,
! [W0: $i] :
( ( zip_tseitin_4 @ W0 )
<=> ( ( aElement0 @ W0 )
& ( aElementOf0 @ W0 @ ( sdtpldt0 @ xS @ xx ) )
& ( W0 != xx ) ) ) ).
thf(zf_stmt_2,type,
zip_tseitin_3: $i > $o ).
thf(zf_stmt_3,axiom,
! [W0: $i] :
( ( zip_tseitin_3 @ W0 )
<=> ( ( aElement0 @ W0 )
& ( zip_tseitin_2 @ W0 ) ) ) ).
thf(zf_stmt_4,type,
zip_tseitin_2: $i > $o ).
thf(zf_stmt_5,axiom,
! [W0: $i] :
( ( zip_tseitin_2 @ W0 )
<=> ( ( aElementOf0 @ W0 @ xS )
| ( W0 = xx ) ) ) ).
thf(zf_stmt_6,conjecture,
( ( ( ( aSet0 @ ( sdtpldt0 @ xS @ xx ) )
& ! [W0: $i] :
( ( aElementOf0 @ W0 @ ( sdtpldt0 @ xS @ xx ) )
<=> ( zip_tseitin_3 @ W0 ) ) )
=> ( ( ( aSet0 @ ( sdtmndt0 @ ( sdtpldt0 @ xS @ xx ) @ xx ) )
& ! [W0: $i] :
( ( aElementOf0 @ W0 @ ( sdtmndt0 @ ( sdtpldt0 @ xS @ xx ) @ xx ) )
<=> ( zip_tseitin_4 @ W0 ) ) )
=> ( ! [W0: $i] :
( ( aElementOf0 @ W0 @ xS )
=> ( aElementOf0 @ W0 @ ( sdtmndt0 @ ( sdtpldt0 @ xS @ xx ) @ xx ) ) )
| ( aSubsetOf0 @ xS @ ( sdtmndt0 @ ( sdtpldt0 @ xS @ xx ) @ xx ) ) ) ) )
& ( ( ( aSet0 @ ( sdtpldt0 @ xS @ xx ) )
& ! [W0: $i] :
( ( aElementOf0 @ W0 @ ( sdtpldt0 @ xS @ xx ) )
<=> ( zip_tseitin_3 @ W0 ) ) )
=> ( ( ( aSet0 @ ( sdtmndt0 @ ( sdtpldt0 @ xS @ xx ) @ xx ) )
& ! [W0: $i] :
( ( aElementOf0 @ W0 @ ( sdtmndt0 @ ( sdtpldt0 @ xS @ xx ) @ xx ) )
<=> ( zip_tseitin_4 @ W0 ) ) )
=> ( ! [W0: $i] :
( ( aElementOf0 @ W0 @ ( sdtmndt0 @ ( sdtpldt0 @ xS @ xx ) @ xx ) )
=> ( aElementOf0 @ W0 @ xS ) )
| ( aSubsetOf0 @ ( sdtmndt0 @ ( sdtpldt0 @ xS @ xx ) @ xx ) @ xS ) ) ) ) ) ).
thf(zf_stmt_7,negated_conjecture,
~ ( ( ( ( aSet0 @ ( sdtpldt0 @ xS @ xx ) )
& ! [W0: $i] :
( ( aElementOf0 @ W0 @ ( sdtpldt0 @ xS @ xx ) )
<=> ( zip_tseitin_3 @ W0 ) ) )
=> ( ( ( aSet0 @ ( sdtmndt0 @ ( sdtpldt0 @ xS @ xx ) @ xx ) )
& ! [W0: $i] :
( ( aElementOf0 @ W0 @ ( sdtmndt0 @ ( sdtpldt0 @ xS @ xx ) @ xx ) )
<=> ( zip_tseitin_4 @ W0 ) ) )
=> ( ! [W0: $i] :
( ( aElementOf0 @ W0 @ xS )
=> ( aElementOf0 @ W0 @ ( sdtmndt0 @ ( sdtpldt0 @ xS @ xx ) @ xx ) ) )
| ( aSubsetOf0 @ xS @ ( sdtmndt0 @ ( sdtpldt0 @ xS @ xx ) @ xx ) ) ) ) )
& ( ( ( aSet0 @ ( sdtpldt0 @ xS @ xx ) )
& ! [W0: $i] :
( ( aElementOf0 @ W0 @ ( sdtpldt0 @ xS @ xx ) )
<=> ( zip_tseitin_3 @ W0 ) ) )
=> ( ( ( aSet0 @ ( sdtmndt0 @ ( sdtpldt0 @ xS @ xx ) @ xx ) )
& ! [W0: $i] :
( ( aElementOf0 @ W0 @ ( sdtmndt0 @ ( sdtpldt0 @ xS @ xx ) @ xx ) )
<=> ( zip_tseitin_4 @ W0 ) ) )
=> ( ! [W0: $i] :
( ( aElementOf0 @ W0 @ ( sdtmndt0 @ ( sdtpldt0 @ xS @ xx ) @ xx ) )
=> ( aElementOf0 @ W0 @ xS ) )
| ( aSubsetOf0 @ ( sdtmndt0 @ ( sdtpldt0 @ xS @ xx ) @ xx ) @ xS ) ) ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_6]) ).
thf(zip_derived_cl81,plain,
( ( aElementOf0 @ sk__4 @ xS )
| ( aElementOf0 @ sk__5 @ ( sdtmndt0 @ ( sdtpldt0 @ xS @ xx ) @ xx ) ) ),
inference(cnf,[status(esa)],[zf_stmt_7]) ).
thf(zip_derived_cl61,plain,
! [X0: $i,X4: $i] :
( ~ ( aElementOf0 @ X4 @ ( sdtmndt0 @ ( sdtpldt0 @ xS @ xx ) @ xx ) )
| ( zip_tseitin_4 @ X4 )
| ( zip_tseitin_4 @ X0 )
| ~ ( aElementOf0 @ X0 @ ( sdtmndt0 @ ( sdtpldt0 @ xS @ xx ) @ xx ) ) ),
inference(cnf,[status(esa)],[zf_stmt_7]) ).
thf(zip_derived_cl1133,plain,
! [X0: $i] :
( ~ ( aElementOf0 @ X0 @ ( sdtmndt0 @ ( sdtpldt0 @ xS @ xx ) @ xx ) )
| ( zip_tseitin_4 @ X0 )
| ( zip_tseitin_4 @ X0 ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl61]) ).
thf(zip_derived_cl1134,plain,
! [X0: $i] :
( ( zip_tseitin_4 @ X0 )
| ~ ( aElementOf0 @ X0 @ ( sdtmndt0 @ ( sdtpldt0 @ xS @ xx ) @ xx ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl1133]) ).
thf(zip_derived_cl1143,plain,
( ( aElementOf0 @ sk__4 @ xS )
| ( zip_tseitin_4 @ sk__5 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl81,zip_derived_cl1134]) ).
thf(zip_derived_cl48,plain,
! [X0: $i] :
( ( aElementOf0 @ X0 @ ( sdtpldt0 @ xS @ xx ) )
| ~ ( zip_tseitin_4 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl84,plain,
! [X2: $i] :
( ( aElementOf0 @ sk__4 @ xS )
| ( zip_tseitin_3 @ X2 )
| ~ ( aElementOf0 @ X2 @ ( sdtpldt0 @ xS @ xx ) ) ),
inference(cnf,[status(esa)],[zf_stmt_7]) ).
thf(zip_derived_cl1157,plain,
! [X0: $i] :
( ~ ( zip_tseitin_4 @ X0 )
| ( aElementOf0 @ sk__4 @ xS )
| ( zip_tseitin_3 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl48,zip_derived_cl84]) ).
thf(zip_derived_cl45,plain,
! [X0: $i] :
( ( zip_tseitin_2 @ X0 )
| ~ ( zip_tseitin_3 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(zip_derived_cl41,plain,
! [X0: $i] :
( ( X0 = xx )
| ( aElementOf0 @ X0 @ xS )
| ~ ( zip_tseitin_2 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_5]) ).
thf(zip_derived_cl864,plain,
! [X0: $i] :
( ~ ( zip_tseitin_3 @ X0 )
| ( aElementOf0 @ X0 @ xS )
| ( X0 = xx ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl45,zip_derived_cl41]) ).
thf(zip_derived_cl1163,plain,
! [X0: $i] :
( ( aElementOf0 @ sk__4 @ xS )
| ~ ( zip_tseitin_4 @ X0 )
| ( aElementOf0 @ X0 @ xS )
| ( X0 = xx ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1157,zip_derived_cl864]) ).
thf(zip_derived_cl49,plain,
! [X0: $i] :
( ( X0 != xx )
| ~ ( zip_tseitin_4 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl1189,plain,
! [X0: $i] :
( ( aElementOf0 @ X0 @ xS )
| ~ ( zip_tseitin_4 @ X0 )
| ( aElementOf0 @ sk__4 @ xS ) ),
inference(clc,[status(thm)],[zip_derived_cl1163,zip_derived_cl49]) ).
thf(zip_derived_cl1193,plain,
( ( aElementOf0 @ sk__4 @ xS )
| ( aElementOf0 @ sk__5 @ xS )
| ( aElementOf0 @ sk__4 @ xS ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1143,zip_derived_cl1189]) ).
thf(zip_derived_cl1194,plain,
( ( aElementOf0 @ sk__5 @ xS )
| ( aElementOf0 @ sk__4 @ xS ) ),
inference(simplify,[status(thm)],[zip_derived_cl1193]) ).
thf(zip_derived_cl82,plain,
( ( aElementOf0 @ sk__4 @ xS )
| ~ ( aElementOf0 @ sk__5 @ xS ) ),
inference(cnf,[status(esa)],[zf_stmt_7]) ).
thf(zip_derived_cl1211,plain,
aElementOf0 @ sk__4 @ xS,
inference(clc,[status(thm)],[zip_derived_cl1194,zip_derived_cl82]) ).
thf(zip_derived_cl71,plain,
! [X1: $i,X5: $i] :
( ~ ( zip_tseitin_4 @ X5 )
| ( aElementOf0 @ X5 @ ( sdtmndt0 @ ( sdtpldt0 @ xS @ xx ) @ xx ) )
| ( aElementOf0 @ X1 @ ( sdtmndt0 @ ( sdtpldt0 @ xS @ xx ) @ xx ) )
| ~ ( zip_tseitin_4 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_7]) ).
thf(zip_derived_cl1256,plain,
! [X0: $i] :
( ~ ( zip_tseitin_4 @ X0 )
| ( aElementOf0 @ X0 @ ( sdtmndt0 @ ( sdtpldt0 @ xS @ xx ) @ xx ) )
| ~ ( zip_tseitin_4 @ X0 ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl71]) ).
thf(zip_derived_cl1258,plain,
! [X0: $i] :
( ( aElementOf0 @ X0 @ ( sdtmndt0 @ ( sdtpldt0 @ xS @ xx ) @ xx ) )
| ~ ( zip_tseitin_4 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl1256]) ).
thf(zip_derived_cl48_001,plain,
! [X0: $i] :
( ( aElementOf0 @ X0 @ ( sdtpldt0 @ xS @ xx ) )
| ~ ( zip_tseitin_4 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl111,plain,
! [X2: $i,X6: $i] :
( ~ ( aElementOf0 @ X6 @ ( sdtpldt0 @ xS @ xx ) )
| ( zip_tseitin_3 @ X6 )
| ( zip_tseitin_3 @ X2 )
| ~ ( aElementOf0 @ X2 @ ( sdtpldt0 @ xS @ xx ) ) ),
inference(cnf,[status(esa)],[zf_stmt_7]) ).
thf(zip_derived_cl1435,plain,
! [X0: $i] :
( ~ ( aElementOf0 @ X0 @ ( sdtpldt0 @ xS @ xx ) )
| ( zip_tseitin_3 @ X0 )
| ( zip_tseitin_3 @ X0 ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl111]) ).
thf(zip_derived_cl1436,plain,
! [X0: $i] :
( ( zip_tseitin_3 @ X0 )
| ~ ( aElementOf0 @ X0 @ ( sdtpldt0 @ xS @ xx ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl1435]) ).
thf(zip_derived_cl1444,plain,
! [X0: $i] :
( ~ ( zip_tseitin_4 @ X0 )
| ( zip_tseitin_3 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl48,zip_derived_cl1436]) ).
thf(zip_derived_cl864_002,plain,
! [X0: $i] :
( ~ ( zip_tseitin_3 @ X0 )
| ( aElementOf0 @ X0 @ xS )
| ( X0 = xx ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl45,zip_derived_cl41]) ).
thf(zip_derived_cl1461,plain,
! [X0: $i] :
( ~ ( zip_tseitin_4 @ X0 )
| ( aElementOf0 @ X0 @ xS )
| ( X0 = xx ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1444,zip_derived_cl864]) ).
thf(zip_derived_cl49_003,plain,
! [X0: $i] :
( ( X0 != xx )
| ~ ( zip_tseitin_4 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl1465,plain,
! [X0: $i] :
( ( aElementOf0 @ X0 @ xS )
| ~ ( zip_tseitin_4 @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl1461,zip_derived_cl49]) ).
thf(zip_derived_cl1211_004,plain,
aElementOf0 @ sk__4 @ xS,
inference(clc,[status(thm)],[zip_derived_cl1194,zip_derived_cl82]) ).
thf(mDefCons,axiom,
! [W0: $i,W1: $i] :
( ( ( aElement0 @ W1 )
& ( aSet0 @ W0 ) )
=> ! [W2: $i] :
( ( W2
= ( sdtpldt0 @ W0 @ W1 ) )
<=> ( ! [W3: $i] :
( ( aElementOf0 @ W3 @ W2 )
<=> ( ( ( W3 = W1 )
| ( aElementOf0 @ W3 @ W0 ) )
& ( aElement0 @ W3 ) ) )
& ( aSet0 @ W2 ) ) ) ) ).
thf(zf_stmt_8,axiom,
! [W3: $i,W1: $i,W0: $i] :
( ( zip_tseitin_0 @ W3 @ W1 @ W0 )
<=> ( ( aElement0 @ W3 )
& ( ( aElementOf0 @ W3 @ W0 )
| ( W3 = W1 ) ) ) ) ).
thf(zip_derived_cl22,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( zip_tseitin_0 @ X0 @ X1 @ X2 )
| ~ ( aElementOf0 @ X0 @ X2 )
| ~ ( aElement0 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_8]) ).
thf(zf_stmt_9,type,
zip_tseitin_0: $i > $i > $i > $o ).
thf(zf_stmt_10,axiom,
! [W0: $i,W1: $i] :
( ( ( aSet0 @ W0 )
& ( aElement0 @ W1 ) )
=> ! [W2: $i] :
( ( W2
= ( sdtpldt0 @ W0 @ W1 ) )
<=> ( ( aSet0 @ W2 )
& ! [W3: $i] :
( ( aElementOf0 @ W3 @ W2 )
<=> ( zip_tseitin_0 @ W3 @ W1 @ W0 ) ) ) ) ) ).
thf(zip_derived_cl25,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( aSet0 @ X0 )
| ~ ( aElement0 @ X1 )
| ~ ( zip_tseitin_0 @ X2 @ X1 @ X0 )
| ( aElementOf0 @ X2 @ X3 )
| ( X3
!= ( sdtpldt0 @ X0 @ X1 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_10]) ).
thf(zip_derived_cl1054,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( aElementOf0 @ X2 @ ( sdtpldt0 @ X1 @ X0 ) )
| ~ ( zip_tseitin_0 @ X2 @ X0 @ X1 )
| ~ ( aElement0 @ X0 )
| ~ ( aSet0 @ X1 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl25]) ).
thf(zip_derived_cl1120,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( aElement0 @ X2 )
| ~ ( aElementOf0 @ X2 @ X0 )
| ( aElementOf0 @ X2 @ ( sdtpldt0 @ X0 @ X1 ) )
| ~ ( aElement0 @ X1 )
| ~ ( aSet0 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl22,zip_derived_cl1054]) ).
thf(mEOfElem,axiom,
! [W0: $i] :
( ( aSet0 @ W0 )
=> ! [W1: $i] :
( ( aElementOf0 @ W1 @ W0 )
=> ( aElement0 @ W1 ) ) ) ).
thf(zip_derived_cl2,plain,
! [X0: $i,X1: $i] :
( ~ ( aElementOf0 @ X0 @ X1 )
| ( aElement0 @ X0 )
| ~ ( aSet0 @ X1 ) ),
inference(cnf,[status(esa)],[mEOfElem]) ).
thf(zip_derived_cl1196,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( aSet0 @ X0 )
| ~ ( aElement0 @ X1 )
| ( aElementOf0 @ X2 @ ( sdtpldt0 @ X0 @ X1 ) )
| ~ ( aElementOf0 @ X2 @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl1120,zip_derived_cl2]) ).
thf(zip_derived_cl1213,plain,
! [X0: $i] :
( ~ ( aSet0 @ xS )
| ~ ( aElement0 @ X0 )
| ( aElementOf0 @ sk__4 @ ( sdtpldt0 @ xS @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1211,zip_derived_cl1196]) ).
thf(m__679,axiom,
( ( aSet0 @ xS )
& ( aElement0 @ xx ) ) ).
thf(zip_derived_cl38,plain,
aSet0 @ xS,
inference(cnf,[status(esa)],[m__679]) ).
thf(zip_derived_cl1216,plain,
! [X0: $i] :
( ~ ( aElement0 @ X0 )
| ( aElementOf0 @ sk__4 @ ( sdtpldt0 @ xS @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1213,zip_derived_cl38]) ).
thf(zip_derived_cl39,plain,
aElement0 @ xx,
inference(cnf,[status(esa)],[m__679]) ).
thf(zip_derived_cl1272,plain,
aElementOf0 @ sk__4 @ ( sdtpldt0 @ xS @ xx ),
inference('s_sup+',[status(thm)],[zip_derived_cl1216,zip_derived_cl39]) ).
thf(zip_derived_cl50,plain,
! [X0: $i] :
( ( zip_tseitin_4 @ X0 )
| ( X0 = xx )
| ~ ( aElementOf0 @ X0 @ ( sdtpldt0 @ xS @ xx ) )
| ~ ( aElement0 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl1284,plain,
( ( zip_tseitin_4 @ sk__4 )
| ( sk__4 = xx )
| ~ ( aElement0 @ sk__4 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1272,zip_derived_cl50]) ).
thf(zip_derived_cl1211_005,plain,
aElementOf0 @ sk__4 @ xS,
inference(clc,[status(thm)],[zip_derived_cl1194,zip_derived_cl82]) ).
thf(zip_derived_cl2_006,plain,
! [X0: $i,X1: $i] :
( ~ ( aElementOf0 @ X0 @ X1 )
| ( aElement0 @ X0 )
| ~ ( aSet0 @ X1 ) ),
inference(cnf,[status(esa)],[mEOfElem]) ).
thf(zip_derived_cl1212,plain,
( ( aElement0 @ sk__4 )
| ~ ( aSet0 @ xS ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1211,zip_derived_cl2]) ).
thf(zip_derived_cl38_007,plain,
aSet0 @ xS,
inference(cnf,[status(esa)],[m__679]) ).
thf(zip_derived_cl1215,plain,
aElement0 @ sk__4,
inference(demod,[status(thm)],[zip_derived_cl1212,zip_derived_cl38]) ).
thf(zip_derived_cl1287,plain,
( ( zip_tseitin_4 @ sk__4 )
| ( sk__4 = xx ) ),
inference(demod,[status(thm)],[zip_derived_cl1284,zip_derived_cl1215]) ).
thf(zip_derived_cl1258_008,plain,
! [X0: $i] :
( ( aElementOf0 @ X0 @ ( sdtmndt0 @ ( sdtpldt0 @ xS @ xx ) @ xx ) )
| ~ ( zip_tseitin_4 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl1256]) ).
thf(zip_derived_cl90,plain,
( ~ ( aElementOf0 @ sk__4 @ ( sdtmndt0 @ ( sdtpldt0 @ xS @ xx ) @ xx ) )
| ( aElementOf0 @ sk__5 @ ( sdtmndt0 @ ( sdtpldt0 @ xS @ xx ) @ xx ) ) ),
inference(cnf,[status(esa)],[zf_stmt_7]) ).
thf(zip_derived_cl1312,plain,
( ~ ( zip_tseitin_4 @ sk__4 )
| ( aElementOf0 @ sk__5 @ ( sdtmndt0 @ ( sdtpldt0 @ xS @ xx ) @ xx ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1258,zip_derived_cl90]) ).
thf(zip_derived_cl1334,plain,
( ( sk__4 = xx )
| ( aElementOf0 @ sk__5 @ ( sdtmndt0 @ ( sdtpldt0 @ xS @ xx ) @ xx ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1287,zip_derived_cl1312]) ).
thf(zip_derived_cl1134_009,plain,
! [X0: $i] :
( ( zip_tseitin_4 @ X0 )
| ~ ( aElementOf0 @ X0 @ ( sdtmndt0 @ ( sdtpldt0 @ xS @ xx ) @ xx ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl1133]) ).
thf(zip_derived_cl1340,plain,
( ( sk__4 = xx )
| ( zip_tseitin_4 @ sk__5 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1334,zip_derived_cl1134]) ).
thf(zip_derived_cl1469,plain,
( ( aElementOf0 @ sk__5 @ xS )
| ( sk__4 = xx ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1465,zip_derived_cl1340]) ).
thf(zip_derived_cl91,plain,
( ~ ( aElementOf0 @ sk__4 @ ( sdtmndt0 @ ( sdtpldt0 @ xS @ xx ) @ xx ) )
| ~ ( aElementOf0 @ sk__5 @ xS ) ),
inference(cnf,[status(esa)],[zf_stmt_7]) ).
thf(zip_derived_cl1478,plain,
( ( sk__4 = xx )
| ~ ( aElementOf0 @ sk__4 @ ( sdtmndt0 @ ( sdtpldt0 @ xS @ xx ) @ xx ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1469,zip_derived_cl91]) ).
thf(zip_derived_cl1493,plain,
( ~ ( zip_tseitin_4 @ sk__4 )
| ( sk__4 = xx ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1258,zip_derived_cl1478]) ).
thf(zip_derived_cl1287_010,plain,
( ( zip_tseitin_4 @ sk__4 )
| ( sk__4 = xx ) ),
inference(demod,[status(thm)],[zip_derived_cl1284,zip_derived_cl1215]) ).
thf(zip_derived_cl1494,plain,
sk__4 = xx,
inference(clc,[status(thm)],[zip_derived_cl1493,zip_derived_cl1287]) ).
thf(m__679_02,axiom,
~ ( aElementOf0 @ xx @ xS ) ).
thf(zip_derived_cl40,plain,
~ ( aElementOf0 @ xx @ xS ),
inference(cnf,[status(esa)],[m__679_02]) ).
thf(zip_derived_cl1499,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl1211,zip_derived_cl1494,zip_derived_cl40]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : NUM537+2 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.denBZuVljU true
% 0.14/0.35 % Computer : n022.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Fri Aug 25 10:50:40 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.36 % Number of cores: 8
% 0.14/0.36 % Python version: Python 3.6.8
% 0.14/0.36 % Running in FO mode
% 0.21/0.67 % Total configuration time : 435
% 0.21/0.67 % Estimated wc time : 1092
% 0.21/0.67 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.73 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.74 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.76 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.76 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.76 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.56/0.76 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.56/0.77 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.58/0.91 % Solved by fo/fo6_bce.sh.
% 0.58/0.91 % BCE start: 132
% 0.58/0.91 % BCE eliminated: 4
% 0.58/0.91 % PE start: 128
% 0.58/0.91 logic: eq
% 0.58/0.91 % PE eliminated: 2
% 0.58/0.91 % done 222 iterations in 0.153s
% 0.58/0.91 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.58/0.91 % SZS output start Refutation
% See solution above
% 0.58/0.91
% 0.58/0.91
% 0.58/0.91 % Terminating...
% 1.74/0.98 % Runner terminated.
% 1.74/0.99 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------