%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : PLA054^4 : TPTP v9.2.0. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.2deL6b99gn true
% Computer : n017.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 04:49:17 PM UTC 2025
% Result : Theorem 1.29s 0.81s
% Output : Refutation 1.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 22
% Syntax : Number of formulae : 51 ( 29 unt; 0 typ; 0 def)
% Number of atoms : 178 ( 21 equ; 0 cnn)
% Maximal formula atoms : 25 ( 3 avg)
% Number of connectives : 410 ( 48 ~; 42 |; 11 &; 286 @)
% ( 0 <=>; 23 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 5 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 33 ( 33 >; 0 *; 0 +; 0 <<)
% Number of symbols : 20 ( 18 usr; 6 con; 0-3 aty)
% Number of variables : 116 ( 50 ^; 58 !; 8 ?; 116 :)
% Comments :
%------------------------------------------------------------------------------
thf(mworld_type,type,
mworld: $tType ).
thf(closed_type,type,
closed: $i > mworld > $o ).
thf(mimplies_type,type,
mimplies: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).
thf(mbox_type,type,
mbox: ( mworld > $o ) > mworld > $o ).
thf(h_type,type,
h: $i > mworld > $o ).
thf(o_type,type,
o: $i ).
thf(mactual_type,type,
mactual: mworld ).
thf(mand_type,type,
mand: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).
thf(mforall_di_type,type,
mforall_di: ( $i > mworld > $o ) > mworld > $o ).
thf(open_type,type,
open: $i > mworld > $o ).
thf(sk__7_type,type,
sk__7: mworld ).
thf(sk__4_type,type,
sk__4: $i > $i > mworld > $i ).
thf(mnot_type,type,
mnot: ( mworld > $o ) > mworld > $o ).
thf(mlocal_type,type,
mlocal: ( mworld > $o ) > $o ).
thf(mexists_di_type,type,
mexists_di: ( $i > mworld > $o ) > mworld > $o ).
thf(combo_type,type,
combo: $i > $i > mworld > $o ).
thf(mrel_type,type,
mrel: mworld > mworld > $o ).
thf(d_type,type,
d: $i ).
thf(sk__6_type,type,
sk__6: mworld ).
thf(mexists_di_def,axiom,
( mexists_di
= ( ^ [A: $i > mworld > $o,W: mworld] :
? [X: $i] : ( A @ X @ W ) ) ) ).
thf('0',plain,
( mexists_di
= ( ^ [A: $i > mworld > $o,W: mworld] :
? [X: $i] : ( A @ X @ W ) ) ),
inference(simplify_rw_rule,[status(thm)],[mexists_di_def]) ).
thf('1',plain,
( mexists_di
= ( ^ [V_1: $i > mworld > $o,V_2: mworld] :
? [X4: $i] : ( V_1 @ X4 @ V_2 ) ) ),
define([status(thm)]) ).
thf(mbox_def,axiom,
( mbox
= ( ^ [Phi: mworld > $o,W: mworld] :
! [V: mworld] :
( ( mrel @ W @ V )
=> ( Phi @ V ) ) ) ) ).
thf('2',plain,
( mbox
= ( ^ [Phi: mworld > $o,W: mworld] :
! [V: mworld] :
( ( mrel @ W @ V )
=> ( Phi @ V ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[mbox_def]) ).
thf('3',plain,
( mbox
= ( ^ [V_1: mworld > $o,V_2: mworld] :
! [X4: mworld] :
( ( mrel @ V_2 @ X4 )
=> ( V_1 @ X4 ) ) ) ),
define([status(thm)]) ).
thf(mimplies_def,axiom,
( mimplies
= ( ^ [A: mworld > $o,B: mworld > $o,W: mworld] :
( ( A @ W )
=> ( B @ W ) ) ) ) ).
thf('4',plain,
( mimplies
= ( ^ [A: mworld > $o,B: mworld > $o,W: mworld] :
( ( A @ W )
=> ( B @ W ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[mimplies_def]) ).
thf('5',plain,
( mimplies
= ( ^ [V_1: mworld > $o,V_2: mworld > $o,V_3: mworld] :
( ( V_1 @ V_3 )
=> ( V_2 @ V_3 ) ) ) ),
define([status(thm)]) ).
thf(mand_def,axiom,
( mand
= ( ^ [A: mworld > $o,B: mworld > $o,W: mworld] :
( ( A @ W )
& ( B @ W ) ) ) ) ).
thf('6',plain,
( mand
= ( ^ [A: mworld > $o,B: mworld > $o,W: mworld] :
( ( A @ W )
& ( B @ W ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[mand_def]) ).
thf('7',plain,
( mand
= ( ^ [V_1: mworld > $o,V_2: mworld > $o,V_3: mworld] :
( ( V_1 @ V_3 )
& ( V_2 @ V_3 ) ) ) ),
define([status(thm)]) ).
thf(mlocal_def,axiom,
( mlocal
= ( ^ [Phi: mworld > $o] : ( Phi @ mactual ) ) ) ).
thf('8',plain,
( mlocal
= ( ^ [Phi: mworld > $o] : ( Phi @ mactual ) ) ),
inference(simplify_rw_rule,[status(thm)],[mlocal_def]) ).
thf('9',plain,
( mlocal
= ( ^ [V_1: mworld > $o] : ( V_1 @ mactual ) ) ),
define([status(thm)]) ).
thf(con,conjecture,
( mlocal
@ ( mbox
@ ( mexists_di
@ ^ [V: $i] :
( mexists_di
@ ^ [O: $i] : ( mimplies @ ( mbox @ ( mand @ ( combo @ d @ V ) @ ( h @ O ) ) ) @ ( mbox @ ( open @ d ) ) ) ) ) ) ) ).
thf(zf_stmt_0,conjecture,
! [X4: mworld] :
( ( mrel @ mactual @ X4 )
=> ? [X6: $i,X8: $i] :
( ! [X10: mworld] :
( ( mrel @ X4 @ X10 )
=> ( ( combo @ d @ X6 @ X10 )
& ( h @ X8 @ X10 ) ) )
=> ! [X12: mworld] :
( ( mrel @ X4 @ X12 )
=> ( open @ d @ X12 ) ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ! [X4: mworld] :
( ( mrel @ mactual @ X4 )
=> ? [X6: $i,X8: $i] :
( ! [X10: mworld] :
( ( mrel @ X4 @ X10 )
=> ( ( combo @ d @ X6 @ X10 )
& ( h @ X8 @ X10 ) ) )
=> ! [X12: mworld] :
( ( mrel @ X4 @ X12 )
=> ( open @ d @ X12 ) ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl10,plain,
~ ( open @ d @ sk__7 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl9,plain,
mrel @ sk__6 @ sk__7,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(ax2,axiom,
mlocal @ ( mbox @ ( closed @ d ) ) ).
thf(zf_stmt_2,axiom,
! [X4: mworld] :
( ( mrel @ mactual @ X4 )
=> ( closed @ d @ X4 ) ) ).
thf(zip_derived_cl4,plain,
! [X0: mworld] :
( ( closed @ d @ X0 )
| ~ ( mrel @ mactual @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_2]) ).
thf(zip_derived_cl8,plain,
mrel @ mactual @ sk__6,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl11,plain,
! [X0: $i,X1: mworld] :
( ( combo @ d @ X0 @ X1 )
| ~ ( mrel @ sk__6 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl12,plain,
! [X1: mworld,X2: $i] :
( ( h @ X2 @ X1 )
| ~ ( mrel @ sk__6 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(mforall_di_def,axiom,
( mforall_di
= ( ^ [A: $i > mworld > $o,W: mworld] :
! [X: $i] : ( A @ X @ W ) ) ) ).
thf('10',plain,
( mforall_di
= ( ^ [A: $i > mworld > $o,W: mworld] :
! [X: $i] : ( A @ X @ W ) ) ),
inference(simplify_rw_rule,[status(thm)],[mforall_di_def]) ).
thf('11',plain,
( mforall_di
= ( ^ [V_1: $i > mworld > $o,V_2: mworld] :
! [X4: $i] : ( V_1 @ X4 @ V_2 ) ) ),
define([status(thm)]) ).
thf(mnot_def,axiom,
( mnot
= ( ^ [A: mworld > $o,W: mworld] :
~ ( A @ W ) ) ) ).
thf('12',plain,
( mnot
= ( ^ [A: mworld > $o,W: mworld] :
~ ( A @ W ) ) ),
inference(simplify_rw_rule,[status(thm)],[mnot_def]) ).
thf('13',plain,
( mnot
= ( ^ [V_1: mworld > $o,V_2: mworld] :
~ ( V_1 @ V_2 ) ) ),
define([status(thm)]) ).
thf(ax1,axiom,
( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [S: $i] :
( mforall_di
@ ^ [V: $i] :
( mexists_di
@ ^ [O: $i] : ( mand @ ( mbox @ ( mimplies @ ( mand @ ( closed @ S ) @ ( mand @ ( combo @ S @ V ) @ ( h @ O ) ) ) @ ( mbox @ ( open @ S ) ) ) ) @ ( mbox @ ( mimplies @ ( mand @ ( closed @ S ) @ ( mand @ ( mnot @ ( combo @ S @ V ) ) @ ( h @ o ) ) ) @ ( mbox @ ( closed @ S ) ) ) ) ) ) ) ) ) ) ).
thf(zf_stmt_3,axiom,
! [X4: mworld] :
( ( mrel @ mactual @ X4 )
=> ! [X6: $i,X8: $i] :
? [X10: $i] :
( ! [X12: mworld] :
( ( mrel @ X4 @ X12 )
=> ( ( ( closed @ X6 @ X12 )
& ( combo @ X6 @ X8 @ X12 )
& ( h @ X10 @ X12 ) )
=> ! [X14: mworld] :
( ( mrel @ X12 @ X14 )
=> ( open @ X6 @ X14 ) ) ) )
& ! [X16: mworld] :
( ( mrel @ X4 @ X16 )
=> ( ( ( closed @ X6 @ X16 )
& ~ ( combo @ X6 @ X8 @ X16 )
& ( h @ o @ X16 ) )
=> ! [X18: mworld] :
( ( mrel @ X16 @ X18 )
=> ( closed @ X6 @ X18 ) ) ) ) ) ) ).
thf(zip_derived_cl3,plain,
! [X0: mworld,X1: mworld,X2: $i,X3: mworld,X4: $i] :
( ~ ( mrel @ X0 @ X1 )
| ( open @ X2 @ X3 )
| ~ ( mrel @ X1 @ X3 )
| ~ ( h @ ( sk__4 @ X4 @ X2 @ X0 ) @ X1 )
| ~ ( combo @ X2 @ X4 @ X1 )
| ~ ( closed @ X2 @ X1 )
| ~ ( mrel @ mactual @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(zip_derived_cl84,plain,
! [X0: mworld,X1: mworld,X2: $i,X3: $i,X4: mworld] :
( ~ ( mrel @ sk__6 @ X0 )
| ~ ( mrel @ mactual @ X1 )
| ~ ( closed @ X2 @ X0 )
| ~ ( combo @ X2 @ X3 @ X0 )
| ~ ( mrel @ X0 @ X4 )
| ( open @ X2 @ X4 )
| ~ ( mrel @ X1 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl12,zip_derived_cl3]) ).
thf(zip_derived_cl90,plain,
! [X0: mworld,X2: mworld,X3: mworld] :
( ~ ( mrel @ sk__6 @ X0 )
| ~ ( mrel @ X2 @ X0 )
| ( open @ d @ X3 )
| ~ ( mrel @ X0 @ X3 )
| ~ ( closed @ d @ X0 )
| ~ ( mrel @ mactual @ X2 )
| ~ ( mrel @ sk__6 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl11,zip_derived_cl84]) ).
thf(zip_derived_cl95,plain,
! [X0: mworld,X2: mworld,X3: mworld] :
( ~ ( mrel @ mactual @ X2 )
| ~ ( closed @ d @ X0 )
| ~ ( mrel @ X0 @ X3 )
| ( open @ d @ X3 )
| ~ ( mrel @ X2 @ X0 )
| ~ ( mrel @ sk__6 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl90]) ).
thf(zip_derived_cl99,plain,
! [X0: mworld,X1: mworld] :
( ~ ( mrel @ sk__6 @ X0 )
| ~ ( mrel @ sk__6 @ X0 )
| ( open @ d @ X1 )
| ~ ( mrel @ X0 @ X1 )
| ~ ( closed @ d @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl8,zip_derived_cl95]) ).
thf(zip_derived_cl104,plain,
! [X0: mworld,X1: mworld] :
( ~ ( closed @ d @ X0 )
| ~ ( mrel @ X0 @ X1 )
| ( open @ d @ X1 )
| ~ ( mrel @ sk__6 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl99]) ).
thf(zip_derived_cl106,plain,
! [X0: mworld,X1: mworld] :
( ~ ( mrel @ mactual @ X0 )
| ~ ( mrel @ sk__6 @ X0 )
| ( open @ d @ X1 )
| ~ ( mrel @ X0 @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl104]) ).
thf(zip_derived_cl8_001,plain,
mrel @ mactual @ sk__6,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(mrel_transitive,axiom,
! [W: mworld,V: mworld,U: mworld] :
( ( ( mrel @ W @ V )
& ( mrel @ V @ U ) )
=> ( mrel @ W @ U ) ) ).
thf(zip_derived_cl1,plain,
! [X0: mworld,X1: mworld,X2: mworld] :
( ~ ( mrel @ X0 @ X1 )
| ~ ( mrel @ X1 @ X2 )
| ( mrel @ X0 @ X2 ) ),
inference(cnf,[status(esa)],[mrel_transitive]) ).
thf(zip_derived_cl18,plain,
! [X0: mworld] :
( ( mrel @ mactual @ X0 )
| ~ ( mrel @ sk__6 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl8,zip_derived_cl1]) ).
thf(zip_derived_cl108,plain,
! [X0: mworld,X1: mworld] :
( ~ ( mrel @ X0 @ X1 )
| ( open @ d @ X1 )
| ~ ( mrel @ sk__6 @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl106,zip_derived_cl18]) ).
thf(zip_derived_cl109,plain,
( ~ ( mrel @ sk__6 @ sk__6 )
| ( open @ d @ sk__7 ) ),
inference('sup-',[status(thm)],[zip_derived_cl9,zip_derived_cl108]) ).
thf(mrel_reflexive,axiom,
! [W: mworld] : ( mrel @ W @ W ) ).
thf(zip_derived_cl0,plain,
! [X0: mworld] : ( mrel @ X0 @ X0 ),
inference(cnf,[status(esa)],[mrel_reflexive]) ).
thf(zip_derived_cl117,plain,
open @ d @ sk__7,
inference(demod,[status(thm)],[zip_derived_cl109,zip_derived_cl0]) ).
thf(zip_derived_cl119,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl10,zip_derived_cl117]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : PLA054^4 : TPTP v9.2.0. Released v8.1.0.
% 0.11/0.12 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.2deL6b99gn true
% 0.11/0.33 % Computer : n017.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Wed Oct 1 11:06:38 EDT 2025
% 0.11/0.34 % CPUTime :
% 0.11/0.34 % Running portfolio for 300 s
% 0.11/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.34 % Number of cores: 8
% 0.11/0.34 % Python version: Python 3.6.8
% 0.11/0.34 % Running in HO mode
% 0.58/0.61 % Total configuration time : 828
% 0.58/0.61 % Estimated wc time : 1656
% 0.58/0.61 % Estimated cpu time (8 cpus) : 207.0
% 0.77/0.69 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.77/0.70 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.77/0.70 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.77/0.70 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.77/0.71 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.77/0.71 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 1.22/0.71 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 1.29/0.79 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 1.29/0.81 % Solved by lams/40_c_ic.sh.
% 1.29/0.81 % done 56 iterations in 0.045s
% 1.29/0.81 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.29/0.81 % SZS output start Refutation
% See solution above
% 1.29/0.81
% 1.29/0.81
% 1.29/0.81 % Terminating...
% 1.76/0.90 % Runner terminated.
% 1.76/0.91 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------