%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : LCL953^8 : TPTP v9.3.1. 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.5Y6ZruQGL1 true
% Computer : n016.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 01:37:40 PM UTC 2026
% Result : Theorem 25.63s 3.86s
% Output : Refutation 25.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 14
% Syntax : Number of formulae : 23 ( 16 unt; 0 typ; 0 def)
% Number of atoms : 131 ( 15 equ; 2 cnn)
% Maximal formula atoms : 19 ( 5 avg)
% Number of connectives : 280 ( 10 ~; 0 |; 0 &; 200 @)
% ( 0 <=>; 54 =>; 0 <=; 0 <~>)
% Maximal formula depth : 28 ( 7 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 21 ( 21 >; 0 *; 0 +; 0 <<)
% Number of symbols : 15 ( 11 usr; 4 con; 0-3 aty)
% ( 16 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 80 ( 50 ^; 30 !; 0 ?; 80 :)
% Comments :
%------------------------------------------------------------------------------
thf(mworld_type,type,
mworld: $tType ).
thf(mimplies_type,type,
mimplies: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).
thf(mbox_type,type,
mbox: ( mworld > $o ) > mworld > $o ).
thf(singleton_type,type,
singleton: $i > $i ).
thf(eiw_di_type,type,
eiw_di: $i > mworld > $o ).
thf(mactual_type,type,
mactual: mworld ).
thf(mforall_di_type,type,
mforall_di: ( $i > mworld > $o ) > mworld > $o ).
thf(mnot_type,type,
mnot: ( mworld > $o ) > mworld > $o ).
thf(disjoint_type,type,
disjoint: $i > $i > mworld > $o ).
thf(mlocal_type,type,
mlocal: ( mworld > $o ) > $o ).
thf(mrel_type,type,
mrel: mworld > mworld > $o ).
thf(in_type,type,
in: $i > $i > mworld > $o ).
thf(mforall_di_def,axiom,
( mforall_di
= ( ^ [A: $i > mworld > $o,W: mworld] :
! [X: $i] :
( ( eiw_di @ X @ W )
=> ( A @ X @ W ) ) ) ) ).
thf('0',plain,
( mforall_di
= ( ^ [A: $i > mworld > $o,W: mworld] :
! [X: $i] :
( ( eiw_di @ X @ W )
=> ( A @ X @ W ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[mforall_di_def]) ).
thf('1',plain,
( mforall_di
= ( ^ [V_1: $i > mworld > $o,V_2: mworld] :
! [X4: $i] :
( ( eiw_di @ X4 @ V_2 )
=> ( 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(mnot_def,axiom,
( mnot
= ( ^ [A: mworld > $o,W: mworld] :
~ ( A @ W ) ) ) ).
thf('6',plain,
( mnot
= ( ^ [A: mworld > $o,W: mworld] :
~ ( A @ W ) ) ),
inference(simplify_rw_rule,[status(thm)],[mnot_def]) ).
thf('7',plain,
( mnot
= ( ^ [V_1: mworld > $o,V_2: mworld] :
~ ( V_1 @ V_2 ) ) ),
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(t56_zfmisc_1,conjecture,
( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [A: $i] :
( mbox
@ ( mforall_di
@ ^ [B: $i] : ( mbox @ ( mimplies @ ( mbox @ ( mnot @ ( mbox @ ( in @ A @ B ) ) ) ) @ ( mbox @ ( disjoint @ ( singleton @ A ) @ B ) ) ) ) ) ) ) ) ) ).
thf(zf_stmt_0,conjecture,
! [X4: mworld] :
( ( mrel @ mactual @ X4 )
=> ! [X6: $i] :
( ( eiw_di @ X6 @ X4 )
=> ! [X8: mworld] :
( ( mrel @ X4 @ X8 )
=> ! [X10: $i] :
( ( eiw_di @ X10 @ X8 )
=> ! [X12: mworld] :
( ( mrel @ X8 @ X12 )
=> ( ! [X14: mworld] :
( ( mrel @ X12 @ X14 )
=> ~ ! [X16: mworld] :
( ( mrel @ X14 @ X16 )
=> ( in @ X6 @ X10 @ X16 ) ) )
=> ! [X18: mworld] :
( ( mrel @ X12 @ X18 )
=> ( disjoint @ ( singleton @ X6 ) @ X10 @ X18 ) ) ) ) ) ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ! [X4: mworld] :
( ( mrel @ mactual @ X4 )
=> ! [X6: $i] :
( ( eiw_di @ X6 @ X4 )
=> ! [X8: mworld] :
( ( mrel @ X4 @ X8 )
=> ! [X10: $i] :
( ( eiw_di @ X10 @ X8 )
=> ! [X12: mworld] :
( ( mrel @ X8 @ X12 )
=> ( ! [X14: mworld] :
( ( mrel @ X12 @ X14 )
=> ~ ! [X16: mworld] :
( ( mrel @ X14 @ X16 )
=> ( in @ X6 @ X10 @ X16 ) ) )
=> ! [X18: mworld] :
( ( mrel @ X12 @ X18 )
=> ( disjoint @ ( singleton @ X6 ) @ X10 @ X18 ) ) ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl6,plain,
~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( !!
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ Y0 )
=> ( !!
@ ^ [Y2: mworld] :
( ( mrel @ Y0 @ Y2 )
=> ( !!
@ ^ [Y3: $i] :
( ( eiw_di @ Y3 @ Y2 )
=> ( !!
@ ^ [Y4: mworld] :
( ( mrel @ Y2 @ Y4 )
=> ( ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y4 @ Y5 )
=> ( (~)
@ ( !!
@ ^ [Y6: mworld] :
( ( mrel @ Y5 @ Y6 )
=> ( in @ Y1 @ Y3 @ Y6 ) ) ) ) ) )
=> ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y4 @ Y5 )
=> ( disjoint @ ( singleton @ Y1 ) @ Y3 @ Y5 ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(l28_zfmisc_1,axiom,
( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [A: $i] :
( mbox
@ ( mforall_di
@ ^ [B: $i] : ( mbox @ ( mimplies @ ( mbox @ ( mnot @ ( mbox @ ( in @ A @ B ) ) ) ) @ ( mbox @ ( disjoint @ ( singleton @ A ) @ B ) ) ) ) ) ) ) ) ) ).
thf(zf_stmt_2,axiom,
! [X4: mworld] :
( ( mrel @ mactual @ X4 )
=> ! [X6: $i] :
( ( eiw_di @ X6 @ X4 )
=> ! [X8: mworld] :
( ( mrel @ X4 @ X8 )
=> ! [X10: $i] :
( ( eiw_di @ X10 @ X8 )
=> ! [X12: mworld] :
( ( mrel @ X8 @ X12 )
=> ( ! [X14: mworld] :
( ( mrel @ X12 @ X14 )
=> ~ ! [X16: mworld] :
( ( mrel @ X14 @ X16 )
=> ( in @ X6 @ X10 @ X16 ) ) )
=> ! [X18: mworld] :
( ( mrel @ X12 @ X18 )
=> ( disjoint @ ( singleton @ X6 ) @ X10 @ X18 ) ) ) ) ) ) ) ) ).
thf(zip_derived_cl7,plain,
( !!
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( !!
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ Y0 )
=> ( !!
@ ^ [Y2: mworld] :
( ( mrel @ Y0 @ Y2 )
=> ( !!
@ ^ [Y3: $i] :
( ( eiw_di @ Y3 @ Y2 )
=> ( !!
@ ^ [Y4: mworld] :
( ( mrel @ Y2 @ Y4 )
=> ( ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y4 @ Y5 )
=> ( (~)
@ ( !!
@ ^ [Y6: mworld] :
( ( mrel @ Y5 @ Y6 )
=> ( in @ Y1 @ Y3 @ Y6 ) ) ) ) ) )
=> ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y4 @ Y5 )
=> ( disjoint @ ( singleton @ Y1 ) @ Y3 @ Y5 ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_2]) ).
thf(zip_derived_cl1103,plain,
$false,
inference(eprover,[status(thm)],[zip_derived_cl6,zip_derived_cl7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL953^8 : TPTP v9.3.1. Released v8.1.0.
% 0.00/0.05 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.5Y6ZruQGL1 true
% 0.09/0.36 % Computer : n016.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Sat Sep 5 16:57:00 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 % Running portfolio for 300 s
% 0.09/0.37 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.37 % Number of cores: 8
% 0.09/0.37 % Python version: Python 3.12.3
% 0.09/0.38 % Running in HO mode
% 0.38/0.60 % Total configuration time : 828
% 0.38/0.60 % Estimated wc time : 1656
% 0.38/0.60 % Estimated cpu time (8 cpus) : 207.0
% 0.42/0.67 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.42/0.73 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.42/0.73 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.42/0.73 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.42/0.73 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.42/0.74 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.42/0.74 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.42/0.77 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 25.63/3.86 % Solved by lams/15_e_short1.sh.
% 25.63/3.86 % done 324 iterations in 3.089s
% 25.63/3.86 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 25.63/3.86 % SZS output start Refutation
% See solution above
% 25.63/3.86
% 25.63/3.86
% 25.63/3.86 % Terminating...
% 4.65/3.91 % Runner terminated.
% 4.65/3.94 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------