%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : LCL721^1 : TPTP v9.3.1. Bugfixed v5.0.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.EjuypJk3sU true
% Computer : n004.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 01:37:07 PM UTC 2026
% Result : Theorem 0.48s 0.80s
% Output : Refutation 0.48s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 18
% Syntax : Number of formulae : 31 ( 25 unt; 0 typ; 0 def)
% Number of atoms : 84 ( 21 equ; 0 cnn)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 111 ( 21 ~; 14 |; 0 &; 76 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 30 ( 30 >; 0 *; 0 +; 0 <<)
% Number of symbols : 13 ( 11 usr; 2 con; 0-3 aty)
% Number of variables : 60 ( 36 ^; 20 !; 4 ?; 60 :)
% Comments :
%------------------------------------------------------------------------------
thf(sk__5_type,type,
sk__5: $i ).
thf(sk__4_type,type,
sk__4: $i > $i ).
thf(rel_d_type,type,
rel_d: $i > $i > $o ).
thf(mnot_type,type,
mnot: ( $i > $o ) > $i > $o ).
thf(mimplies_type,type,
mimplies: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(phi_type,type,
phi: $i > $o ).
thf(mdia_d_type,type,
mdia_d: ( $i > $o ) > $i > $o ).
thf(mbox_d_type,type,
mbox_d: ( $i > $o ) > $i > $o ).
thf(mserial_type,type,
mserial: ( $i > $i > $o ) > $o ).
thf(mor_type,type,
mor: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(mvalid_type,type,
mvalid: ( $i > $o ) > $o ).
thf(mserial,axiom,
( mserial
= ( ^ [R: $i > $i > $o] :
! [S: $i] :
? [T: $i] : ( R @ S @ T ) ) ) ).
thf('0',plain,
( mserial
= ( ^ [R: $i > $i > $o] :
! [S: $i] :
? [T: $i] : ( R @ S @ T ) ) ),
inference(simplify_rw_rule,[status(thm)],[mserial]) ).
thf('1',plain,
( mserial
= ( ^ [V_1: $i > $i > $o] :
! [X4: $i] :
? [X6: $i] : ( V_1 @ X4 @ X6 ) ) ),
define([status(thm)]) ).
thf(a1,axiom,
mserial @ rel_d ).
thf(zf_stmt_0,axiom,
! [X4: $i] :
? [X6: $i] : ( rel_d @ X4 @ X6 ) ).
thf(zip_derived_cl0,plain,
! [X0: $i] : ( rel_d @ X0 @ ( sk__4 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(mdia_d,axiom,
( mdia_d
= ( ^ [Phi: $i > $o] : ( mnot @ ( mbox_d @ ( mnot @ Phi ) ) ) ) ) ).
thf(mbox_d,axiom,
( mbox_d
= ( ^ [Phi: $i > $o,W: $i] :
! [V: $i] :
( ( Phi @ V )
| ~ ( rel_d @ W @ V ) ) ) ) ).
thf('2',plain,
( mbox_d
= ( ^ [Phi: $i > $o,W: $i] :
! [V: $i] :
( ( Phi @ V )
| ~ ( rel_d @ W @ V ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[mbox_d]) ).
thf('3',plain,
( mbox_d
= ( ^ [V_1: $i > $o,V_2: $i] :
! [X4: $i] :
( ( V_1 @ X4 )
| ~ ( rel_d @ V_2 @ X4 ) ) ) ),
define([status(thm)]) ).
thf(mnot,axiom,
( mnot
= ( ^ [Phi: $i > $o,W: $i] :
~ ( Phi @ W ) ) ) ).
thf('4',plain,
( mnot
= ( ^ [Phi: $i > $o,W: $i] :
~ ( Phi @ W ) ) ),
inference(simplify_rw_rule,[status(thm)],[mnot]) ).
thf('5',plain,
( mnot
= ( ^ [V_1: $i > $o,V_2: $i] :
~ ( V_1 @ V_2 ) ) ),
define([status(thm)]) ).
thf('6',plain,
( mdia_d
= ( ^ [Phi: $i > $o] : ( mnot @ ( mbox_d @ ( mnot @ Phi ) ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[mdia_d,'3','5']) ).
thf('7',plain,
( mdia_d
= ( ^ [V_1: $i > $o] : ( mnot @ ( mbox_d @ ( mnot @ V_1 ) ) ) ) ),
define([status(thm)]) ).
thf(mvalid,axiom,
( mvalid
= ( ^ [Phi: $i > $o] :
! [W: $i] : ( Phi @ W ) ) ) ).
thf('8',plain,
( mvalid
= ( ^ [Phi: $i > $o] :
! [W: $i] : ( Phi @ W ) ) ),
inference(simplify_rw_rule,[status(thm)],[mvalid]) ).
thf('9',plain,
( mvalid
= ( ^ [V_1: $i > $o] :
! [X4: $i] : ( V_1 @ X4 ) ) ),
define([status(thm)]) ).
thf(mimplies,axiom,
( mimplies
= ( ^ [Phi: $i > $o,Psi: $i > $o] : ( mor @ ( mnot @ Phi ) @ Psi ) ) ) ).
thf(mor,axiom,
( mor
= ( ^ [Phi: $i > $o,Psi: $i > $o,W: $i] :
( ( Phi @ W )
| ( Psi @ W ) ) ) ) ).
thf('10',plain,
( mor
= ( ^ [Phi: $i > $o,Psi: $i > $o,W: $i] :
( ( Phi @ W )
| ( Psi @ W ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[mor]) ).
thf('11',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('12',plain,
( mimplies
= ( ^ [Phi: $i > $o,Psi: $i > $o] : ( mor @ ( mnot @ Phi ) @ Psi ) ) ),
inference(simplify_rw_rule,[status(thm)],[mimplies,'11','5']) ).
thf('13',plain,
( mimplies
= ( ^ [V_1: $i > $o,V_2: $i > $o] : ( mor @ ( mnot @ V_1 ) @ V_2 ) ) ),
define([status(thm)]) ).
thf(conj,conjecture,
mvalid @ ( mimplies @ ( mbox_d @ phi ) @ ( mdia_d @ phi ) ) ).
thf(zf_stmt_1,conjecture,
! [X4: $i] :
( ~ ! [X6: $i] :
( ( phi @ X6 )
| ~ ( rel_d @ X4 @ X6 ) )
| ~ ! [X8: $i] :
( ~ ( phi @ X8 )
| ~ ( rel_d @ X4 @ X8 ) ) ) ).
thf(zf_stmt_2,negated_conjecture,
~ ! [X4: $i] :
( ~ ! [X6: $i] :
( ( phi @ X6 )
| ~ ( rel_d @ X4 @ X6 ) )
| ~ ! [X8: $i] :
( ~ ( phi @ X8 )
| ~ ( rel_d @ X4 @ X8 ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl1,plain,
! [X0: $i] :
( ~ ( phi @ X0 )
| ~ ( rel_d @ sk__5 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_2]) ).
thf(zip_derived_cl2,plain,
! [X1: $i] :
( ( phi @ X1 )
| ~ ( rel_d @ sk__5 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_2]) ).
thf(zip_derived_cl7,plain,
! [X0: $i] :
~ ( rel_d @ sk__5 @ X0 ),
inference(clc,[status(thm)],[zip_derived_cl1,zip_derived_cl2]) ).
thf(zip_derived_cl8,plain,
$false,
inference('sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL721^1 : TPTP v9.3.1. Bugfixed v5.0.0.
% 0.00/0.04 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.EjuypJk3sU true
% 0.10/0.39 % Computer : n004.cluster.edu
% 0.10/0.39 % Model : x86_64 x86_64
% 0.10/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.39 % Memory : 8046.5625MB
% 0.10/0.39 % OS : Linux 6.8.0-71-generic
% 0.10/0.39 % CPULimit : 300
% 0.10/0.39 % WCLimit : 300
% 0.10/0.39 % DateTime : Sat Sep 5 10:54:59 UTC 2026
% 0.10/0.39 % CPUTime :
% 0.10/0.39 % Running portfolio for 300 s
% 0.10/0.39 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.40 % Number of cores: 8
% 0.10/0.40 % Python version: Python 3.12.3
% 0.10/0.40 % Running in HO mode
% 0.43/0.69 % Total configuration time : 828
% 0.43/0.69 % Estimated wc time : 1656
% 0.43/0.69 % Estimated cpu time (8 cpus) : 207.0
% 0.48/0.76 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.48/0.80 % Solved by lams/40_c.s.sh.
% 0.48/0.80 % done 6 iterations in 0.012s
% 0.48/0.80 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.48/0.80 % SZS output start Refutation
% See solution above
% 0.48/0.80
% 0.48/0.80
% 0.48/0.80 % Terminating...
% 0.48/0.84 % Runner terminated.
% 0.48/0.85 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------