%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : LCL623^1 : TPTP v9.3.1. Bugfixed v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.tkJy2sverx true
% Computer : n028.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon Sep 7 01:36:18 PM UTC 2026
% Result : Theorem 9.22s 1.82s
% Output : Refutation 9.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 14
% Syntax : Number of formulae : 45 ( 29 unt; 0 typ; 0 def)
% Number of atoms : 111 ( 15 equ; 0 cnn)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 281 ( 26 ~; 39 |; 0 &; 204 @)
% ( 0 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 42 ( 42 >; 0 *; 0 +; 0 <<)
% Number of symbols : 13 ( 11 usr; 3 con; 0-3 aty)
% Number of variables : 76 ( 33 ^; 43 !; 0 ?; 76 :)
% Comments :
%------------------------------------------------------------------------------
thf(sk__10_type,type,
sk__10: $i ).
thf(mor_type,type,
mor: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(mnot_type,type,
mnot: ( $i > $o ) > $i > $o ).
thf(r_type,type,
r: $i > $i > $o ).
thf(sk__11_type,type,
sk__11: $i > $i ).
thf(mimpl_type,type,
mimpl: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(sk__12_type,type,
sk__12: $i ).
thf(sk__9_type,type,
sk__9: $i > $o ).
thf(mvalid_type,type,
mvalid: ( $i > $o ) > $o ).
thf(mbox_type,type,
mbox: ( $i > $i > $o ) > ( $i > $o ) > $i > $o ).
thf(sk__8_type,type,
sk__8: $i > ( $i > $o ) > $i ).
thf(mvalid,axiom,
( mvalid
= ( ^ [P: $i > $o] :
! [W: $i] : ( P @ W ) ) ) ).
thf('0',plain,
( mvalid
= ( ^ [P: $i > $o] :
! [W: $i] : ( P @ W ) ) ),
inference(simplify_rw_rule,[status(thm)],[mvalid]) ).
thf('1',plain,
( mvalid
= ( ^ [V_1: $i > $o] :
! [X4: $i] : ( V_1 @ X4 ) ) ),
define([status(thm)]) ).
thf(mbox,axiom,
( mbox
= ( ^ [R: $i > $i > $o,P: $i > $o,X: $i] :
! [Y: $i] :
( ( R @ X @ Y )
=> ( P @ Y ) ) ) ) ).
thf('2',plain,
( mbox
= ( ^ [R: $i > $i > $o,P: $i > $o,X: $i] :
! [Y: $i] :
( ( R @ X @ Y )
=> ( P @ Y ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[mbox]) ).
thf('3',plain,
( mbox
= ( ^ [V_1: $i > $i > $o,V_2: $i > $o,V_3: $i] :
! [X4: $i] :
( ( V_1 @ V_3 @ X4 )
=> ( V_2 @ X4 ) ) ) ),
define([status(thm)]) ).
thf(mimpl,axiom,
( mimpl
= ( ^ [U: $i > $o,V: $i > $o] : ( mor @ ( mnot @ U ) @ V ) ) ) ).
thf(mor,axiom,
( mor
= ( ^ [X: $i > $o,Y: $i > $o,U: $i] :
( ( X @ U )
| ( Y @ U ) ) ) ) ).
thf('4',plain,
( mor
= ( ^ [X: $i > $o,Y: $i > $o,U: $i] :
( ( X @ U )
| ( Y @ U ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[mor]) ).
thf('5',plain,
( mor
= ( ^ [V_1: $i > $o,V_2: $i > $o,V_3: $i] :
( ( V_1 @ V_3 )
| ( V_2 @ V_3 ) ) ) ),
define([status(thm)]) ).
thf(mnot,axiom,
( mnot
= ( ^ [X: $i > $o,U: $i] :
~ ( X @ U ) ) ) ).
thf('6',plain,
( mnot
= ( ^ [X: $i > $o,U: $i] :
~ ( X @ U ) ) ),
inference(simplify_rw_rule,[status(thm)],[mnot]) ).
thf('7',plain,
( mnot
= ( ^ [V_1: $i > $o,V_2: $i] :
~ ( V_1 @ V_2 ) ) ),
define([status(thm)]) ).
thf('8',plain,
( mimpl
= ( ^ [U: $i > $o,V: $i > $o] : ( mor @ ( mnot @ U ) @ V ) ) ),
inference(simplify_rw_rule,[status(thm)],[mimpl,'5','7']) ).
thf('9',plain,
( mimpl
= ( ^ [V_1: $i > $o,V_2: $i > $o] : ( mor @ ( mnot @ V_1 ) @ V_2 ) ) ),
define([status(thm)]) ).
thf(loeb,conjecture,
! [P: $i > $o] : ( mvalid @ ( mimpl @ ( mbox @ r @ ( mimpl @ ( mbox @ r @ P ) @ P ) ) @ ( mbox @ r @ P ) ) ) ).
thf(zf_stmt_0,conjecture,
! [X4: $i > $o,X6: $i] :
( ~ ! [X8: $i] :
( ( r @ X6 @ X8 )
=> ( ~ ! [X10: $i] :
( ( r @ X8 @ X10 )
=> ( X4 @ X10 ) )
| ( X4 @ X8 ) ) )
| ! [X12: $i] :
( ( r @ X6 @ X12 )
=> ( X4 @ X12 ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ! [X4: $i > $o,X6: $i] :
( ~ ! [X8: $i] :
( ( r @ X6 @ X8 )
=> ( ~ ! [X10: $i] :
( ( r @ X8 @ X10 )
=> ( X4 @ X10 ) )
| ( X4 @ X8 ) ) )
| ! [X12: $i] :
( ( r @ X6 @ X12 )
=> ( X4 @ X12 ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3,plain,
~ ( sk__9 @ sk__12 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl4,plain,
r @ sk__10 @ sk__12,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(gl,axiom,
! [X: $i > $o] : ( mvalid @ ( mimpl @ ( mbox @ r @ ( mimpl @ ( mbox @ r @ X ) @ X ) ) @ ( mbox @ r @ X ) ) ) ).
thf(zf_stmt_2,axiom,
! [X4: $i > $o,X6: $i] :
( ~ ! [X8: $i] :
( ( r @ X6 @ X8 )
=> ( ~ ! [X10: $i] :
( ( r @ X8 @ X10 )
=> ( X4 @ X10 ) )
| ( X4 @ X8 ) ) )
| ! [X12: $i] :
( ( r @ X6 @ X12 )
=> ( X4 @ X12 ) ) ) ).
thf(zip_derived_cl2,plain,
! [X0: $i,X1: $i > $o,X2: $i] :
( ( r @ X0 @ ( sk__8 @ X0 @ X1 ) )
| ~ ( r @ X0 @ X2 )
| ( X1 @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_2]) ).
thf(zip_derived_cl141,plain,
! [X0: $i > $o] :
( ( X0 @ sk__12 )
| ( r @ sk__10 @ ( sk__8 @ sk__10 @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl2]) ).
thf(zip_derived_cl6,plain,
! [X0: $i] :
( ( sk__9 @ X0 )
| ~ ( sk__9 @ ( sk__11 @ X0 ) )
| ~ ( r @ sk__10 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl4_001,plain,
r @ sk__10 @ sk__12,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl1,plain,
! [X0: $i,X1: $i > $o,X2: $i,X3: $i] :
( ~ ( r @ ( sk__8 @ X0 @ X1 ) @ X2 )
| ( X1 @ X2 )
| ~ ( r @ X0 @ X3 )
| ( X1 @ X3 ) ),
inference(cnf,[status(esa)],[zf_stmt_2]) ).
thf(zip_derived_cl108,plain,
! [X0: $i > $o,X1: $i] :
( ( X0 @ sk__12 )
| ( X0 @ X1 )
| ~ ( r @ ( sk__8 @ sk__10 @ X0 ) @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl1]) ).
thf(zip_derived_cl141_002,plain,
! [X0: $i > $o] :
( ( X0 @ sk__12 )
| ( r @ sk__10 @ ( sk__8 @ sk__10 @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl2]) ).
thf(zip_derived_cl5,plain,
! [X0: $i] :
( ( sk__9 @ X0 )
| ( r @ X0 @ ( sk__11 @ X0 ) )
| ~ ( r @ sk__10 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl170,plain,
! [X0: $i > $o] :
( ( X0 @ sk__12 )
| ( r @ ( sk__8 @ sk__10 @ X0 ) @ ( sk__11 @ ( sk__8 @ sk__10 @ X0 ) ) )
| ( sk__9 @ ( sk__8 @ sk__10 @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl141,zip_derived_cl5]) ).
thf(zip_derived_cl683,plain,
! [X0: $i > $o] :
( ( X0 @ ( sk__11 @ ( sk__8 @ sk__10 @ X0 ) ) )
| ( X0 @ sk__12 )
| ( sk__9 @ ( sk__8 @ sk__10 @ X0 ) )
| ( X0 @ sk__12 ) ),
inference('sup+',[status(thm)],[zip_derived_cl108,zip_derived_cl170]) ).
thf(zip_derived_cl710,plain,
! [X0: $i > $o] :
( ( sk__9 @ ( sk__8 @ sk__10 @ X0 ) )
| ( X0 @ sk__12 )
| ( X0 @ ( sk__11 @ ( sk__8 @ sk__10 @ X0 ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl683]) ).
thf(zip_derived_cl1853,plain,
( ~ ( r @ sk__10 @ ( sk__8 @ sk__10 @ sk__9 ) )
| ( sk__9 @ ( sk__8 @ sk__10 @ sk__9 ) )
| ( sk__9 @ sk__12 )
| ( sk__9 @ ( sk__8 @ sk__10 @ sk__9 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl6,zip_derived_cl710]) ).
thf(zip_derived_cl3_003,plain,
~ ( sk__9 @ sk__12 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl1876,plain,
( ~ ( r @ sk__10 @ ( sk__8 @ sk__10 @ sk__9 ) )
| ( sk__9 @ ( sk__8 @ sk__10 @ sk__9 ) )
| ( sk__9 @ ( sk__8 @ sk__10 @ sk__9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1853,zip_derived_cl3]) ).
thf(zip_derived_cl1877,plain,
( ( sk__9 @ ( sk__8 @ sk__10 @ sk__9 ) )
| ~ ( r @ sk__10 @ ( sk__8 @ sk__10 @ sk__9 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl1876]) ).
thf(zip_derived_cl1894,plain,
( ( sk__9 @ sk__12 )
| ( sk__9 @ ( sk__8 @ sk__10 @ sk__9 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl141,zip_derived_cl1877]) ).
thf(zip_derived_cl3_004,plain,
~ ( sk__9 @ sk__12 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl1896,plain,
sk__9 @ ( sk__8 @ sk__10 @ sk__9 ),
inference(demod,[status(thm)],[zip_derived_cl1894,zip_derived_cl3]) ).
thf(zip_derived_cl4_005,plain,
r @ sk__10 @ sk__12,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl0,plain,
! [X0: $i > $o,X1: $i,X2: $i] :
( ~ ( X0 @ ( sk__8 @ X1 @ X0 ) )
| ~ ( r @ X1 @ X2 )
| ( X0 @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_2]) ).
thf(zip_derived_cl12,plain,
! [X0: $i > $o] :
( ( X0 @ sk__12 )
| ~ ( X0 @ ( sk__8 @ sk__10 @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl0]) ).
thf(zip_derived_cl1898,plain,
sk__9 @ sk__12,
inference('sup-',[status(thm)],[zip_derived_cl1896,zip_derived_cl12]) ).
thf(zip_derived_cl1915,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl3,zip_derived_cl1898]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL623^1 : TPTP v9.3.1. Bugfixed v7.3.0.
% 0.00/0.04 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.tkJy2sverx true
% 0.12/0.37 % Computer : n028.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Sat Sep 5 21:11:00 UTC 2026
% 0.12/0.37 % CPUTime :
% 0.12/0.37 % Running portfolio for 300 s
% 0.12/0.37 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.37 % Number of cores: 8
% 0.12/0.38 % Python version: Python 3.12.3
% 0.12/0.38 % Running in HO mode
% 0.45/0.67 % Total configuration time : 828
% 0.45/0.67 % Estimated wc time : 1656
% 0.45/0.67 % Estimated cpu time (8 cpus) : 207.0
% 0.50/0.74 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.50/0.80 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.50/0.80 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.50/0.80 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.50/0.80 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.50/0.80 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.50/0.87 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.50/0.87 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 9.22/1.82 % Solved by lams/40_c.s.sh.
% 9.22/1.82 % done 152 iterations in 1.058s
% 9.22/1.82 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 9.22/1.82 % SZS output start Refutation
% See solution above
% 9.22/1.83
% 9.22/1.83
% 9.22/1.83 % Terminating...
% 9.22/1.89 % Runner terminated.
% 0.16/1.91 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------