%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : LCL957^6 : TPTP v9.3.1. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.qRhxkhMIDZ true
% Computer : n012.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 0.77s 0.54s
% Output : Refutation 0.77s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 13
% Syntax : Number of formulae : 24 ( 20 unt; 0 typ; 0 def)
% Number of atoms : 87 ( 15 equ; 0 cnn)
% Maximal formula atoms : 21 ( 3 avg)
% Number of connectives : 171 ( 3 ~; 1 |; 0 &; 137 @)
% ( 0 <=>; 30 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 4 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 24 ( 24 >; 0 *; 0 +; 0 <<)
% Number of symbols : 13 ( 11 usr; 2 con; 0-3 aty)
% Number of variables : 78 ( 34 ^; 37 !; 7 ?; 78 :)
% Comments :
%------------------------------------------------------------------------------
thf(mworld_type,type,
mworld: $tType ).
thf(sk__9_type,type,
sk__9: $i > mworld ).
thf(mimplies_type,type,
mimplies: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).
thf(mbox_type,type,
mbox: ( mworld > $o ) > mworld > $o ).
thf(mactual_type,type,
mactual: mworld ).
thf(sk__7_type,type,
sk__7: $i > $i ).
thf(mlocal_type,type,
mlocal: ( mworld > $o ) > $o ).
thf(mrel_type,type,
mrel: mworld > mworld > $o ).
thf(mexists_di_type,type,
mexists_di: ( $i > mworld > $o ) > mworld > $o ).
thf(mforall_di_type,type,
mforall_di: ( $i > mworld > $o ) > mworld > $o ).
thf(sk__8_type,type,
sk__8: $i > mworld ).
thf(big_r_type,type,
big_r: $i > $i > mworld > $o ).
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(mforall_di_def,axiom,
( mforall_di
= ( ^ [A: $i > mworld > $o,W: mworld] :
! [X: $i] : ( A @ X @ W ) ) ) ).
thf('2',plain,
( mforall_di
= ( ^ [A: $i > mworld > $o,W: mworld] :
! [X: $i] : ( A @ X @ W ) ) ),
inference(simplify_rw_rule,[status(thm)],[mforall_di_def]) ).
thf('3',plain,
( mforall_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('4',plain,
( mbox
= ( ^ [Phi: mworld > $o,W: mworld] :
! [V: mworld] :
( ( mrel @ W @ V )
=> ( Phi @ V ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[mbox_def]) ).
thf('5',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('6',plain,
( mimplies
= ( ^ [A: mworld > $o,B: mworld > $o,W: mworld] :
( ( A @ W )
=> ( B @ W ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[mimplies_def]) ).
thf('7',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(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(x2122,conjecture,
( mlocal
@ ( mbox
@ ( mimplies
@ ( mbox
@ ( mimplies
@ ( mexists_di
@ ^ [X: $i] : ( mbox @ ( big_r @ X @ X ) ) )
@ ( mbox
@ ( mforall_di
@ ^ [Y: $i] : ( mbox @ ( big_r @ Y @ Y ) ) ) ) ) )
@ ( mexists_di
@ ^ [U: $i] :
( mbox
@ ( mforall_di
@ ^ [V: $i] : ( mbox @ ( mimplies @ ( mbox @ ( big_r @ U @ U ) ) @ ( mbox @ ( big_r @ V @ V ) ) ) ) ) ) ) ) ) ) ).
thf(zf_stmt_0,conjecture,
! [X4: mworld] :
( ( mrel @ mactual @ X4 )
=> ( ! [X6: mworld] :
( ( mrel @ X4 @ X6 )
=> ( ? [X8: $i] :
! [X10: mworld] :
( ( mrel @ X6 @ X10 )
=> ( big_r @ X8 @ X8 @ X10 ) )
=> ! [X12: mworld] :
( ( mrel @ X6 @ X12 )
=> ! [X14: $i,X16: mworld] :
( ( mrel @ X12 @ X16 )
=> ( big_r @ X14 @ X14 @ X16 ) ) ) ) )
=> ? [X18: $i] :
! [X20: mworld] :
( ( mrel @ X4 @ X20 )
=> ! [X22: $i,X24: mworld] :
( ( mrel @ X20 @ X24 )
=> ( ! [X26: mworld] :
( ( mrel @ X24 @ X26 )
=> ( big_r @ X18 @ X18 @ X26 ) )
=> ! [X28: mworld] :
( ( mrel @ X24 @ X28 )
=> ( big_r @ X22 @ X22 @ X28 ) ) ) ) ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ! [X4: mworld] :
( ( mrel @ mactual @ X4 )
=> ( ! [X6: mworld] :
( ( mrel @ X4 @ X6 )
=> ( ? [X8: $i] :
! [X10: mworld] :
( ( mrel @ X6 @ X10 )
=> ( big_r @ X8 @ X8 @ X10 ) )
=> ! [X12: mworld] :
( ( mrel @ X6 @ X12 )
=> ! [X14: $i,X16: mworld] :
( ( mrel @ X12 @ X16 )
=> ( big_r @ X14 @ X14 @ X16 ) ) ) ) )
=> ? [X18: $i] :
! [X20: mworld] :
( ( mrel @ X4 @ X20 )
=> ! [X22: $i,X24: mworld] :
( ( mrel @ X20 @ X24 )
=> ( ! [X26: mworld] :
( ( mrel @ X24 @ X26 )
=> ( big_r @ X18 @ X18 @ X26 ) )
=> ! [X28: mworld] :
( ( mrel @ X24 @ X28 )
=> ( big_r @ X22 @ X22 @ X28 ) ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3,plain,
! [X0: $i] :
~ ( big_r @ ( sk__7 @ X0 ) @ ( sk__7 @ X0 ) @ ( sk__9 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl5,plain,
! [X0: $i,X1: mworld] :
( ( big_r @ X0 @ X0 @ X1 )
| ~ ( mrel @ ( sk__8 @ X0 ) @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(mrel_universal,axiom,
! [W: mworld,V: mworld] : ( mrel @ W @ V ) ).
thf(zip_derived_cl0,plain,
! [X0: mworld,X1: mworld] : ( mrel @ X0 @ X1 ),
inference(cnf,[status(esa)],[mrel_universal]) ).
thf(zip_derived_cl9,plain,
! [X0: $i,X1: mworld] : ( big_r @ X0 @ X0 @ X1 ),
inference(demod,[status(thm)],[zip_derived_cl5,zip_derived_cl0]) ).
thf(zip_derived_cl10,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl3,zip_derived_cl9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : LCL957^6 : TPTP v9.3.1. Released v8.1.0.
% 0.00/0.02 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.qRhxkhMIDZ true
% 0.03/0.29 % Computer : n012.cluster.edu
% 0.03/0.29 % Model : x86_64 x86_64
% 0.03/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/0.29 % Memory : 8046.5625MB
% 0.03/0.29 % OS : Linux 6.8.0-71-generic
% 0.03/0.29 % CPULimit : 300
% 0.03/0.29 % WCLimit : 300
% 0.03/0.29 % DateTime : Fri Sep 4 22:29:42 UTC 2026
% 0.03/0.30 % CPUTime :
% 0.03/0.30 % Running portfolio for 300 s
% 0.03/0.30 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.03/0.30 % Number of cores: 8
% 0.03/0.30 % Python version: Python 3.12.3
% 0.03/0.30 % Running in HO mode
% 0.19/0.44 % Total configuration time : 828
% 0.19/0.44 % Estimated wc time : 1656
% 0.19/0.44 % Estimated cpu time (8 cpus) : 207.0
% 0.19/0.51 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.19/0.51 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.19/0.52 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.19/0.52 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.19/0.52 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.19/0.52 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.19/0.52 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.19/0.52 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 0.77/0.54 % Solved by lams/40_noforms.sh.
% 0.77/0.54 % done 4 iterations in 0.012s
% 0.77/0.54 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.77/0.54 % SZS output start Refutation
% See solution above
% 0.77/0.54
% 0.77/0.54
% 0.77/0.54 % Terminating...
% 0.77/0.57 % Runner terminated.
% 0.77/0.58 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------