%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : LCL947_10 : TPTP v9.3.1. Released v8.2.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.6BIKT9w2Gq 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 01:37:39 PM UTC 2026
% Result : Theorem 11.04s 2.20s
% Output : Refutation 11.04s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 4
% Syntax : Number of formulae : 38 ( 17 unt; 0 typ; 0 def)
% Number of atoms : 120 ( 0 equ; 0 cnn)
% Maximal formula atoms : 9 ( 3 avg)
% Number of connectives : 491 ( 62 ~; 65 |; 0 &; 347 @)
% ( 0 <=>; 17 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 8 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 11 ( 10 usr; 5 con; 0-3 aty)
% Number of variables : 71 ( 0 ^; 71 !; 0 ?; 71 :)
% Comments :
%------------------------------------------------------------------------------
thf('$ki_world_type',type,
'$ki_world': $tType ).
thf(sk__36_type,type,
sk__36: '$ki_world' ).
thf('$ki_exists_in_world_$i_type',type,
'$ki_exists_in_world_$i': '$ki_world' > $i > $o ).
thf(sk__37_type,type,
sk__37: $i ).
thf('$ki_accessible_type',type,
'$ki_accessible': '$ki_world' > '$ki_world' > $o ).
thf(subset_type,type,
subset: '$ki_world' > $i > $i > $o ).
thf(qmltpeq_type,type,
qmltpeq: '$ki_world' > $i > $i > $o ).
thf(sk__38_type,type,
sk__38: '$ki_world' ).
thf(union_type,type,
union: $i > $i > $i ).
thf('$ki_local_world_type',type,
'$ki_local_world': '$ki_world' ).
thf(sk__14_type,type,
sk__14: '$ki_world' > $i > $i > '$ki_world' ).
thf(mrel_reflexive,axiom,
! [W: '$ki_world'] : ( '$ki_accessible' @ W @ W ) ).
thf(zip_derived_cl0,plain,
! [X0: '$ki_world'] : ( '$ki_accessible' @ X0 @ X0 ),
inference(cnf,[status(esa)],[mrel_reflexive]) ).
thf(verify,conjecture,
! [W: '$ki_world'] :
( ( '$ki_accessible' @ '$ki_local_world' @ W )
=> ! [B: $i] :
( ( '$ki_exists_in_world_$i' @ W @ B )
=> ! [W0: '$ki_world'] :
( ( '$ki_accessible' @ W @ W0 )
=> ( qmltpeq @ W0 @ ( union @ B @ B ) @ B ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [W: '$ki_world'] :
( ( '$ki_accessible' @ '$ki_local_world' @ W )
=> ! [B: $i] :
( ( '$ki_exists_in_world_$i' @ W @ B )
=> ! [W0: '$ki_world'] :
( ( '$ki_accessible' @ W @ W0 )
=> ( qmltpeq @ W0 @ ( union @ B @ B ) @ B ) ) ) ),
inference('cnf.neg',[status(esa)],[verify]) ).
thf(zip_derived_cl89,plain,
'$ki_exists_in_world_$i' @ sk__36 @ sk__37,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl0_001,plain,
! [X0: '$ki_world'] : ( '$ki_accessible' @ X0 @ X0 ),
inference(cnf,[status(esa)],[mrel_reflexive]) ).
thf(zip_derived_cl89_002,plain,
'$ki_exists_in_world_$i' @ sk__36 @ sk__37,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl86,plain,
'$ki_accessible' @ '$ki_local_world' @ sk__36,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(subset_union,axiom,
! [W: '$ki_world'] :
( ( '$ki_accessible' @ '$ki_local_world' @ W )
=> ! [B: $i] :
( ( '$ki_exists_in_world_$i' @ W @ B )
=> ! [W0: '$ki_world'] :
( ( '$ki_accessible' @ W @ W0 )
=> ! [C: $i] :
( ( '$ki_exists_in_world_$i' @ W0 @ C )
=> ! [W1: '$ki_world'] :
( ( '$ki_accessible' @ W0 @ W1 )
=> ( ! [W2: '$ki_world'] :
( ( '$ki_accessible' @ W1 @ W2 )
=> ( subset @ W2 @ B @ C ) )
=> ! [W2: '$ki_world'] :
( ( '$ki_accessible' @ W1 @ W2 )
=> ( qmltpeq @ W2 @ ( union @ B @ C ) @ C ) ) ) ) ) ) ) ) ).
thf(zip_derived_cl36,plain,
! [X0: '$ki_world',X1: $i,X2: '$ki_world',X3: $i,X4: '$ki_world',X5: '$ki_world'] :
( ~ ( '$ki_exists_in_world_$i' @ X0 @ X1 )
| ~ ( '$ki_exists_in_world_$i' @ X2 @ X3 )
| ( '$ki_accessible' @ X4 @ ( sk__14 @ X4 @ X3 @ X1 ) )
| ~ ( '$ki_accessible' @ X4 @ X5 )
| ( qmltpeq @ X5 @ ( union @ X1 @ X3 ) @ X3 )
| ~ ( '$ki_accessible' @ X2 @ X4 )
| ~ ( '$ki_accessible' @ X0 @ X2 )
| ~ ( '$ki_accessible' @ '$ki_local_world' @ X0 ) ),
inference(cnf,[status(esa)],[subset_union]) ).
thf(zip_derived_cl214,plain,
! [X0: $i,X1: $i,X2: '$ki_world',X3: '$ki_world',X4: '$ki_world'] :
( ~ ( '$ki_exists_in_world_$i' @ sk__36 @ X0 )
| ~ ( '$ki_exists_in_world_$i' @ X2 @ X1 )
| ( '$ki_accessible' @ X3 @ ( sk__14 @ X3 @ X1 @ X0 ) )
| ~ ( '$ki_accessible' @ X3 @ X4 )
| ( qmltpeq @ X4 @ ( union @ X0 @ X1 ) @ X1 )
| ~ ( '$ki_accessible' @ X2 @ X3 )
| ~ ( '$ki_accessible' @ sk__36 @ X2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl86,zip_derived_cl36]) ).
thf(zip_derived_cl420,plain,
! [X0: $i,X1: '$ki_world',X2: '$ki_world',X3: '$ki_world'] :
( ~ ( '$ki_exists_in_world_$i' @ X1 @ X0 )
| ( '$ki_accessible' @ X2 @ ( sk__14 @ X2 @ X0 @ sk__37 ) )
| ~ ( '$ki_accessible' @ X2 @ X3 )
| ( qmltpeq @ X3 @ ( union @ sk__37 @ X0 ) @ X0 )
| ~ ( '$ki_accessible' @ X1 @ X2 )
| ~ ( '$ki_accessible' @ sk__36 @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl89,zip_derived_cl214]) ).
thf(zip_derived_cl2638,plain,
! [X0: $i,X1: '$ki_world',X2: '$ki_world'] :
( ~ ( '$ki_exists_in_world_$i' @ sk__36 @ X0 )
| ( '$ki_accessible' @ X1 @ ( sk__14 @ X1 @ X0 @ sk__37 ) )
| ~ ( '$ki_accessible' @ X1 @ X2 )
| ( qmltpeq @ X2 @ ( union @ sk__37 @ X0 ) @ X0 )
| ~ ( '$ki_accessible' @ sk__36 @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl420]) ).
thf(zip_derived_cl2669,plain,
! [X0: '$ki_world',X1: '$ki_world'] :
( ( '$ki_accessible' @ X0 @ ( sk__14 @ X0 @ sk__37 @ sk__37 ) )
| ~ ( '$ki_accessible' @ X0 @ X1 )
| ( qmltpeq @ X1 @ ( union @ sk__37 @ sk__37 ) @ sk__37 )
| ~ ( '$ki_accessible' @ sk__36 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl89,zip_derived_cl2638]) ).
thf(zip_derived_cl3540,plain,
! [X0: '$ki_world'] :
( ( '$ki_accessible' @ sk__36 @ ( sk__14 @ sk__36 @ sk__37 @ sk__37 ) )
| ~ ( '$ki_accessible' @ sk__36 @ X0 )
| ( qmltpeq @ X0 @ ( union @ sk__37 @ sk__37 ) @ sk__37 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl2669]) ).
thf(zip_derived_cl86_003,plain,
'$ki_accessible' @ '$ki_local_world' @ sk__36,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(reflexivity_of_subset,axiom,
! [W: '$ki_world'] :
( ( '$ki_accessible' @ '$ki_local_world' @ W )
=> ! [B: $i] :
( ( '$ki_exists_in_world_$i' @ W @ B )
=> ! [W0: '$ki_world'] :
( ( '$ki_accessible' @ W @ W0 )
=> ( subset @ W0 @ B @ B ) ) ) ) ).
thf(zip_derived_cl65,plain,
! [X0: '$ki_world',X1: $i,X2: '$ki_world'] :
( ~ ( '$ki_exists_in_world_$i' @ X0 @ X1 )
| ( subset @ X2 @ X1 @ X1 )
| ~ ( '$ki_accessible' @ X0 @ X2 )
| ~ ( '$ki_accessible' @ '$ki_local_world' @ X0 ) ),
inference(cnf,[status(esa)],[reflexivity_of_subset]) ).
thf(zip_derived_cl193,plain,
! [X0: $i,X1: '$ki_world'] :
( ~ ( '$ki_exists_in_world_$i' @ sk__36 @ X0 )
| ( subset @ X1 @ X0 @ X0 )
| ~ ( '$ki_accessible' @ sk__36 @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl86,zip_derived_cl65]) ).
thf(zip_derived_cl0_004,plain,
! [X0: '$ki_world'] : ( '$ki_accessible' @ X0 @ X0 ),
inference(cnf,[status(esa)],[mrel_reflexive]) ).
thf(zip_derived_cl89_005,plain,
'$ki_exists_in_world_$i' @ sk__36 @ sk__37,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl0_006,plain,
! [X0: '$ki_world'] : ( '$ki_accessible' @ X0 @ X0 ),
inference(cnf,[status(esa)],[mrel_reflexive]) ).
thf(zip_derived_cl89_007,plain,
'$ki_exists_in_world_$i' @ sk__36 @ sk__37,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl86_008,plain,
'$ki_accessible' @ '$ki_local_world' @ sk__36,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl35,plain,
! [X0: '$ki_world',X1: $i,X2: '$ki_world',X3: $i,X4: '$ki_world',X5: '$ki_world'] :
( ~ ( '$ki_exists_in_world_$i' @ X0 @ X1 )
| ~ ( '$ki_exists_in_world_$i' @ X2 @ X3 )
| ~ ( subset @ ( sk__14 @ X4 @ X3 @ X1 ) @ X1 @ X3 )
| ~ ( '$ki_accessible' @ X4 @ X5 )
| ( qmltpeq @ X5 @ ( union @ X1 @ X3 ) @ X3 )
| ~ ( '$ki_accessible' @ X2 @ X4 )
| ~ ( '$ki_accessible' @ X0 @ X2 )
| ~ ( '$ki_accessible' @ '$ki_local_world' @ X0 ) ),
inference(cnf,[status(esa)],[subset_union]) ).
thf(zip_derived_cl210,plain,
! [X0: $i,X1: $i,X2: '$ki_world',X3: '$ki_world',X4: '$ki_world'] :
( ~ ( '$ki_exists_in_world_$i' @ sk__36 @ X0 )
| ~ ( '$ki_exists_in_world_$i' @ X2 @ X1 )
| ~ ( subset @ ( sk__14 @ X3 @ X1 @ X0 ) @ X0 @ X1 )
| ~ ( '$ki_accessible' @ X3 @ X4 )
| ( qmltpeq @ X4 @ ( union @ X0 @ X1 ) @ X1 )
| ~ ( '$ki_accessible' @ X2 @ X3 )
| ~ ( '$ki_accessible' @ sk__36 @ X2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl86,zip_derived_cl35]) ).
thf(zip_derived_cl288,plain,
! [X0: $i,X1: '$ki_world',X2: '$ki_world',X3: '$ki_world'] :
( ~ ( '$ki_exists_in_world_$i' @ X1 @ X0 )
| ~ ( subset @ ( sk__14 @ X2 @ X0 @ sk__37 ) @ sk__37 @ X0 )
| ~ ( '$ki_accessible' @ X2 @ X3 )
| ( qmltpeq @ X3 @ ( union @ sk__37 @ X0 ) @ X0 )
| ~ ( '$ki_accessible' @ X1 @ X2 )
| ~ ( '$ki_accessible' @ sk__36 @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl89,zip_derived_cl210]) ).
thf(zip_derived_cl636,plain,
! [X0: $i,X1: '$ki_world',X2: '$ki_world'] :
( ~ ( '$ki_exists_in_world_$i' @ sk__36 @ X0 )
| ~ ( subset @ ( sk__14 @ X1 @ X0 @ sk__37 ) @ sk__37 @ X0 )
| ~ ( '$ki_accessible' @ X1 @ X2 )
| ( qmltpeq @ X2 @ ( union @ sk__37 @ X0 ) @ X0 )
| ~ ( '$ki_accessible' @ sk__36 @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl288]) ).
thf(zip_derived_cl651,plain,
! [X0: '$ki_world',X1: '$ki_world'] :
( ~ ( subset @ ( sk__14 @ X0 @ sk__37 @ sk__37 ) @ sk__37 @ sk__37 )
| ~ ( '$ki_accessible' @ X0 @ X1 )
| ( qmltpeq @ X1 @ ( union @ sk__37 @ sk__37 ) @ sk__37 )
| ~ ( '$ki_accessible' @ sk__36 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl89,zip_derived_cl636]) ).
thf(zip_derived_cl670,plain,
! [X0: '$ki_world'] :
( ~ ( subset @ ( sk__14 @ sk__36 @ sk__37 @ sk__37 ) @ sk__37 @ sk__37 )
| ~ ( '$ki_accessible' @ sk__36 @ X0 )
| ( qmltpeq @ X0 @ ( union @ sk__37 @ sk__37 ) @ sk__37 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl651]) ).
thf(zip_derived_cl673,plain,
! [X0: '$ki_world'] :
( ~ ( '$ki_accessible' @ sk__36 @ ( sk__14 @ sk__36 @ sk__37 @ sk__37 ) )
| ~ ( '$ki_exists_in_world_$i' @ sk__36 @ sk__37 )
| ~ ( '$ki_accessible' @ sk__36 @ X0 )
| ( qmltpeq @ X0 @ ( union @ sk__37 @ sk__37 ) @ sk__37 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl193,zip_derived_cl670]) ).
thf(zip_derived_cl89_009,plain,
'$ki_exists_in_world_$i' @ sk__36 @ sk__37,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl675,plain,
! [X0: '$ki_world'] :
( ~ ( '$ki_accessible' @ sk__36 @ ( sk__14 @ sk__36 @ sk__37 @ sk__37 ) )
| ~ ( '$ki_accessible' @ sk__36 @ X0 )
| ( qmltpeq @ X0 @ ( union @ sk__37 @ sk__37 ) @ sk__37 ) ),
inference(demod,[status(thm)],[zip_derived_cl673,zip_derived_cl89]) ).
thf(zip_derived_cl3560,plain,
! [X0: '$ki_world'] :
( ( qmltpeq @ X0 @ ( union @ sk__37 @ sk__37 ) @ sk__37 )
| ~ ( '$ki_accessible' @ sk__36 @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl3540,zip_derived_cl675]) ).
thf(zip_derived_cl88,plain,
~ ( qmltpeq @ sk__38 @ ( union @ sk__37 @ sk__37 ) @ sk__37 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3561,plain,
~ ( '$ki_accessible' @ sk__36 @ sk__38 ),
inference('s_sup-',[status(thm)],[zip_derived_cl3560,zip_derived_cl88]) ).
thf(zip_derived_cl87,plain,
'$ki_accessible' @ sk__36 @ sk__38,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3562,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl3561,zip_derived_cl87]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL947_10 : TPTP v9.3.1. Released v8.2.0.
% 0.00/0.04 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.6BIKT9w2Gq true
% 0.09/0.37 % Computer : n016.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % 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 00:05:28 UTC 2026
% 0.13/0.37 % CPUTime :
% 0.13/0.37 % Running portfolio for 300 s
% 0.13/0.37 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.38 % Number of cores: 8
% 0.13/0.38 % Python version: Python 3.12.3
% 0.13/0.38 % Running in FO mode
% 0.45/0.66 % Total configuration time : 435
% 0.45/0.66 % Estimated wc time : 1092
% 0.45/0.66 % Estimated cpu time (7 cpus) : 156.0
% 0.47/0.74 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.47/0.80 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.47/0.81 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.47/0.81 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.47/0.81 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.47/0.81 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.47/0.81 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 11.04/2.20 % Solved by fo/fo6_bce.sh.
% 11.04/2.20 % BCE start: 90
% 11.04/2.20 % BCE eliminated: 0
% 11.04/2.20 % PE start: 90
% 11.04/2.20 logic: neq
% 11.04/2.20 % PE eliminated: 12
% 11.04/2.20 % done 693 iterations in 1.447s
% 11.04/2.20 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 11.04/2.20 % SZS output start Refutation
% See solution above
% 11.04/2.21
% 11.04/2.21
% 11.04/2.21 % Terminating...
% 11.04/2.24 % Runner terminated.
% 11.04/2.26 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------