%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : RNG111+1 : TPTP v9.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.JwHU0OKKNP true
% Computer : n021.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 Oct 2 04:50:34 PM UTC 2025
% Result : Theorem 0.62s 0.91s
% Output : Refutation 0.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 1
% Syntax : Number of formulae : 42 ( 9 unt; 0 typ; 0 def)
% Number of atoms : 159 ( 69 equ; 0 cnn)
% Maximal formula atoms : 15 ( 3 avg)
% Number of connectives : 466 ( 89 ~; 76 |; 16 &; 260 @)
% ( 0 <=>; 12 =>; 13 <=; 0 <~>)
% Maximal formula depth : 16 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 10 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 36 ( 0 ^; 32 !; 4 ?; 36 :)
% Comments :
%------------------------------------------------------------------------------
thf(sk__22_type,type,
sk__22: $i ).
thf(sk__23_type,type,
sk__23: $i ).
thf(sbrdtbr0_type,type,
sbrdtbr0: $i > $i ).
thf(sz00_type,type,
sz00: $i ).
thf(iLess0_type,type,
iLess0: $i > $i > $o ).
thf(sk__21_type,type,
sk__21: $i > $i ).
thf(aElementOf0_type,type,
aElementOf0: $i > $i > $o ).
thf(xI_type,type,
xI: $i ).
thf(m__,conjecture,
! [W0: $i] :
( ( ( aElementOf0 @ W0 @ xI )
& ( W0 != sz00 ) )
=> ( ! [W1: $i] :
( ( ( aElementOf0 @ W1 @ xI )
& ( W1 != sz00 ) )
=> ( ( iLess0 @ ( sbrdtbr0 @ W1 ) @ ( sbrdtbr0 @ W0 ) )
=> ? [W2: $i] :
( ! [W3: $i] :
( ( ( aElementOf0 @ W3 @ xI )
& ( W3 != sz00 ) )
=> ~ ( iLess0 @ ( sbrdtbr0 @ W3 ) @ ( sbrdtbr0 @ W2 ) ) )
& ( W2 != sz00 )
& ( aElementOf0 @ W2 @ xI ) ) ) )
=> ? [W1: $i] :
( ! [W2: $i] :
( ( ( aElementOf0 @ W2 @ xI )
& ( W2 != sz00 ) )
=> ~ ( iLess0 @ ( sbrdtbr0 @ W2 ) @ ( sbrdtbr0 @ W1 ) ) )
& ( W1 != sz00 )
& ( aElementOf0 @ W1 @ xI ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [W0: $i] :
( ( ( aElementOf0 @ W0 @ xI )
& ( W0 != sz00 ) )
=> ( ! [W1: $i] :
( ( ( aElementOf0 @ W1 @ xI )
& ( W1 != sz00 ) )
=> ( ( iLess0 @ ( sbrdtbr0 @ W1 ) @ ( sbrdtbr0 @ W0 ) )
=> ? [W2: $i] :
( ! [W3: $i] :
( ( ( aElementOf0 @ W3 @ xI )
& ( W3 != sz00 ) )
=> ~ ( iLess0 @ ( sbrdtbr0 @ W3 ) @ ( sbrdtbr0 @ W2 ) ) )
& ( W2 != sz00 )
& ( aElementOf0 @ W2 @ xI ) ) ) )
=> ? [W1: $i] :
( ! [W2: $i] :
( ( ( aElementOf0 @ W2 @ xI )
& ( W2 != sz00 ) )
=> ~ ( iLess0 @ ( sbrdtbr0 @ W2 ) @ ( sbrdtbr0 @ W1 ) ) )
& ( W1 != sz00 )
& ( aElementOf0 @ W1 @ xI ) ) ) ),
inference('cnf.neg',[status(esa)],[m__]) ).
thf(zip_derived_cl108,plain,
! [X1: $i] :
( ( aElementOf0 @ sk__23 @ xI )
| ~ ( aElementOf0 @ X1 @ xI )
| ( X1 = sz00 )
| ~ ( iLess0 @ ( sbrdtbr0 @ X1 ) @ ( sbrdtbr0 @ sk__22 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('0',plain,
( ( aElementOf0 @ sk__23 @ xI )
| ! [X1: $i] :
( ( X1 = sz00 )
| ~ ( aElementOf0 @ X1 @ xI )
| ~ ( iLess0 @ ( sbrdtbr0 @ X1 ) @ ( sbrdtbr0 @ sk__22 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl108]) ).
thf(zip_derived_cl113,plain,
! [X2: $i] :
( ( aElementOf0 @ ( sk__21 @ X2 ) @ xI )
| ( X2 = sz00 )
| ~ ( aElementOf0 @ X2 @ xI ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl106,plain,
! [X0: $i,X1: $i] :
( ~ ( aElementOf0 @ X0 @ xI )
| ( X0 = sz00 )
| ~ ( iLess0 @ ( sbrdtbr0 @ X0 ) @ ( sbrdtbr0 @ sk__23 ) )
| ~ ( aElementOf0 @ X1 @ xI )
| ( X1 = sz00 )
| ~ ( iLess0 @ ( sbrdtbr0 @ X1 ) @ ( sbrdtbr0 @ sk__22 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl116,plain,
( ! [X1: $i] :
( ( X1 = sz00 )
| ~ ( aElementOf0 @ X1 @ xI )
| ~ ( iLess0 @ ( sbrdtbr0 @ X1 ) @ ( sbrdtbr0 @ sk__22 ) ) )
<= ! [X1: $i] :
( ( X1 = sz00 )
| ~ ( aElementOf0 @ X1 @ xI )
| ~ ( iLess0 @ ( sbrdtbr0 @ X1 ) @ ( sbrdtbr0 @ sk__22 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl106]) ).
thf(zip_derived_cl111,plain,
! [X2: $i] :
( ( iLess0 @ ( sbrdtbr0 @ ( sk__21 @ X2 ) ) @ ( sbrdtbr0 @ X2 ) )
| ( X2 = sz00 )
| ~ ( aElementOf0 @ X2 @ xI ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl185,plain,
( ( ~ ( aElementOf0 @ ( sk__21 @ sk__22 ) @ xI )
| ( ( sk__21 @ sk__22 )
= sz00 )
| ( sk__22 = sz00 )
| ~ ( aElementOf0 @ sk__22 @ xI ) )
<= ! [X1: $i] :
( ( X1 = sz00 )
| ~ ( aElementOf0 @ X1 @ xI )
| ~ ( iLess0 @ ( sbrdtbr0 @ X1 ) @ ( sbrdtbr0 @ sk__22 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl116,zip_derived_cl111]) ).
thf(zip_derived_cl110,plain,
aElementOf0 @ sk__22 @ xI,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl186,plain,
( ( ~ ( aElementOf0 @ ( sk__21 @ sk__22 ) @ xI )
| ( ( sk__21 @ sk__22 )
= sz00 )
| ( sk__22 = sz00 ) )
<= ! [X1: $i] :
( ( X1 = sz00 )
| ~ ( aElementOf0 @ X1 @ xI )
| ~ ( iLess0 @ ( sbrdtbr0 @ X1 ) @ ( sbrdtbr0 @ sk__22 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl185,zip_derived_cl110]) ).
thf(zip_derived_cl109,plain,
sk__22 != sz00,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl187,plain,
( ( ~ ( aElementOf0 @ ( sk__21 @ sk__22 ) @ xI )
| ( ( sk__21 @ sk__22 )
= sz00 ) )
<= ! [X1: $i] :
( ( X1 = sz00 )
| ~ ( aElementOf0 @ X1 @ xI )
| ~ ( iLess0 @ ( sbrdtbr0 @ X1 ) @ ( sbrdtbr0 @ sk__22 ) ) ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl186,zip_derived_cl109]) ).
thf(zip_derived_cl214,plain,
( ~ ( aElementOf0 @ ( sk__21 @ sk__22 ) @ xI )
<= ~ ( aElementOf0 @ ( sk__21 @ sk__22 ) @ xI ) ),
inference(split,[status(esa)],[zip_derived_cl187]) ).
thf(zip_derived_cl217,plain,
( ( ~ ( aElementOf0 @ sk__22 @ xI )
| ( sk__22 = sz00 ) )
<= ~ ( aElementOf0 @ ( sk__21 @ sk__22 ) @ xI ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl113,zip_derived_cl214]) ).
thf(zip_derived_cl110_001,plain,
aElementOf0 @ sk__22 @ xI,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl218,plain,
( ( sk__22 = sz00 )
<= ~ ( aElementOf0 @ ( sk__21 @ sk__22 ) @ xI ) ),
inference(demod,[status(thm)],[zip_derived_cl217,zip_derived_cl110]) ).
thf(zip_derived_cl109_002,plain,
sk__22 != sz00,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('1',plain,
aElementOf0 @ ( sk__21 @ sk__22 ) @ xI,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl218,zip_derived_cl109]) ).
thf(zip_derived_cl215,plain,
( ( ( sk__21 @ sk__22 )
= sz00 )
<= ( ( sk__21 @ sk__22 )
= sz00 ) ),
inference(split,[status(esa)],[zip_derived_cl187]) ).
thf(zip_derived_cl112,plain,
! [X2: $i] :
( ( ( sk__21 @ X2 )
!= sz00 )
| ( X2 = sz00 )
| ~ ( aElementOf0 @ X2 @ xI ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl223,plain,
( ( ( sz00 != sz00 )
| ( sk__22 = sz00 )
| ~ ( aElementOf0 @ sk__22 @ xI ) )
<= ( ( sk__21 @ sk__22 )
= sz00 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl215,zip_derived_cl112]) ).
thf(zip_derived_cl110_003,plain,
aElementOf0 @ sk__22 @ xI,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl228,plain,
( ( ( sz00 != sz00 )
| ( sk__22 = sz00 ) )
<= ( ( sk__21 @ sk__22 )
= sz00 ) ),
inference(demod,[status(thm)],[zip_derived_cl223,zip_derived_cl110]) ).
thf(zip_derived_cl229,plain,
( ( sk__22 = sz00 )
<= ( ( sk__21 @ sk__22 )
= sz00 ) ),
inference(simplify,[status(thm)],[zip_derived_cl228]) ).
thf(zip_derived_cl109_004,plain,
sk__22 != sz00,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('2',plain,
( ( sk__21 @ sk__22 )
!= sz00 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl229,zip_derived_cl109]) ).
thf('3',plain,
( ~ ! [X1: $i] :
( ( X1 = sz00 )
| ~ ( aElementOf0 @ X1 @ xI )
| ~ ( iLess0 @ ( sbrdtbr0 @ X1 ) @ ( sbrdtbr0 @ sk__22 ) ) )
| ( ( sk__21 @ sk__22 )
= sz00 )
| ~ ( aElementOf0 @ ( sk__21 @ sk__22 ) @ xI ) ),
inference(split,[status(esa)],[zip_derived_cl187]) ).
thf(zip_derived_cl107,plain,
! [X1: $i] :
( ( sk__23 != sz00 )
| ~ ( aElementOf0 @ X1 @ xI )
| ( X1 = sz00 )
| ~ ( iLess0 @ ( sbrdtbr0 @ X1 ) @ ( sbrdtbr0 @ sk__22 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('4',plain,
( ( sk__23 != sz00 )
| ! [X1: $i] :
( ( X1 = sz00 )
| ~ ( aElementOf0 @ X1 @ xI )
| ~ ( iLess0 @ ( sbrdtbr0 @ X1 ) @ ( sbrdtbr0 @ sk__22 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl107]) ).
thf(zip_derived_cl111_005,plain,
! [X2: $i] :
( ( iLess0 @ ( sbrdtbr0 @ ( sk__21 @ X2 ) ) @ ( sbrdtbr0 @ X2 ) )
| ( X2 = sz00 )
| ~ ( aElementOf0 @ X2 @ xI ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl117,plain,
( ! [X0: $i] :
( ( X0 = sz00 )
| ~ ( aElementOf0 @ X0 @ xI )
| ~ ( iLess0 @ ( sbrdtbr0 @ X0 ) @ ( sbrdtbr0 @ sk__23 ) ) )
<= ! [X0: $i] :
( ( X0 = sz00 )
| ~ ( aElementOf0 @ X0 @ xI )
| ~ ( iLess0 @ ( sbrdtbr0 @ X0 ) @ ( sbrdtbr0 @ sk__23 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl106]) ).
thf(zip_derived_cl182,plain,
( ( ~ ( aElementOf0 @ sk__23 @ xI )
| ( sk__23 = sz00 )
| ( ( sk__21 @ sk__23 )
= sz00 )
| ~ ( aElementOf0 @ ( sk__21 @ sk__23 ) @ xI ) )
<= ! [X0: $i] :
( ( X0 = sz00 )
| ~ ( aElementOf0 @ X0 @ xI )
| ~ ( iLess0 @ ( sbrdtbr0 @ X0 ) @ ( sbrdtbr0 @ sk__23 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl111,zip_derived_cl117]) ).
thf('5',plain,
( ! [X0: $i] :
( ( X0 = sz00 )
| ~ ( aElementOf0 @ X0 @ xI )
| ~ ( iLess0 @ ( sbrdtbr0 @ X0 ) @ ( sbrdtbr0 @ sk__23 ) ) )
| ! [X1: $i] :
( ( X1 = sz00 )
| ~ ( aElementOf0 @ X1 @ xI )
| ~ ( iLess0 @ ( sbrdtbr0 @ X1 ) @ ( sbrdtbr0 @ sk__22 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl106]) ).
thf('6',plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ ( aElementOf0 @ X0 @ xI )
| ~ ( iLess0 @ ( sbrdtbr0 @ X0 ) @ ( sbrdtbr0 @ sk__23 ) ) ),
inference('sat_resolution*',[status(thm)],['1','2','3','5']) ).
thf(zip_derived_cl235,plain,
( ~ ( aElementOf0 @ sk__23 @ xI )
| ( sk__23 = sz00 )
| ( ( sk__21 @ sk__23 )
= sz00 )
| ~ ( aElementOf0 @ ( sk__21 @ sk__23 ) @ xI ) ),
inference(simpl_trail,[status(thm)],[zip_derived_cl182,'6']) ).
thf(zip_derived_cl112_006,plain,
! [X2: $i] :
( ( ( sk__21 @ X2 )
!= sz00 )
| ( X2 = sz00 )
| ~ ( aElementOf0 @ X2 @ xI ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl236,plain,
( ~ ( aElementOf0 @ ( sk__21 @ sk__23 ) @ xI )
| ( sk__23 = sz00 )
| ~ ( aElementOf0 @ sk__23 @ xI ) ),
inference(clc,[status(thm)],[zip_derived_cl235,zip_derived_cl112]) ).
thf(zip_derived_cl113_007,plain,
! [X2: $i] :
( ( aElementOf0 @ ( sk__21 @ X2 ) @ xI )
| ( X2 = sz00 )
| ~ ( aElementOf0 @ X2 @ xI ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl237,plain,
( ~ ( aElementOf0 @ sk__23 @ xI )
| ( sk__23 = sz00 ) ),
inference(clc,[status(thm)],[zip_derived_cl236,zip_derived_cl113]) ).
thf('7',plain,
( ( sk__23 = sz00 )
| ~ ( aElementOf0 @ sk__23 @ xI ) ),
inference(split,[status(esa)],[zip_derived_cl237]) ).
thf(zip_derived_cl258,plain,
$false,
inference('sat_resolution*',[status(thm)],['0','1','2','3','4','7']) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : RNG111+1 : TPTP v9.2.0. Released v4.0.0.
% 0.08/0.15 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.JwHU0OKKNP true
% 0.15/0.37 % Computer : n021.cluster.edu
% 0.15/0.37 % Model : x86_64 x86_64
% 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37 % Memory : 8042.1875MB
% 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 300
% 0.15/0.37 % WCLimit : 300
% 0.15/0.37 % DateTime : Wed Oct 1 17:20:53 EDT 2025
% 0.15/0.37 % CPUTime :
% 0.15/0.37 % Running portfolio for 300 s
% 0.15/0.37 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.37 % Number of cores: 8
% 0.15/0.37 % Python version: Python 3.6.8
% 0.15/0.37 % Running in FO mode
% 0.60/0.72 % Total configuration time : 435
% 0.60/0.72 % Estimated wc time : 1092
% 0.60/0.72 % Estimated cpu time (7 cpus) : 156.0
% 0.60/0.74 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.60/0.74 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.61/0.80 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.61/0.80 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.61/0.83 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.61/0.83 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.61/0.84 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.62/0.91 % Solved by fo/fo1_av.sh.
% 0.62/0.91 % done 71 iterations in 0.068s
% 0.62/0.91 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.62/0.91 % SZS output start Refutation
% See solution above
% 0.62/0.91
% 0.62/0.91
% 0.62/0.91 % Terminating...
% 1.50/1.10 % Runner terminated.
% 1.50/1.14 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------