%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : LCL722^1 : 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.A41thtKq7s true
% Computer : n005.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 0.52s 0.80s
% Output : Refutation 0.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 16
% Syntax : Number of formulae : 28 ( 23 unt; 0 typ; 0 def)
% Number of atoms : 65 ( 18 equ; 0 cnn)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 82 ( 13 ~; 11 |; 0 &; 58 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 27 ( 27 >; 0 *; 0 +; 0 <<)
% Number of symbols : 11 ( 9 usr; 2 con; 0-3 aty)
% Number of variables : 49 ( 33 ^; 16 !; 0 ?; 49 :)
% Comments :
%------------------------------------------------------------------------------
thf(rel_m_type,type,
rel_m: $i > $i > $o ).
thf(mreflexive_type,type,
mreflexive: ( $i > $i > $o ) > $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(sk__3_type,type,
sk__3: $i ).
thf(mbox_m_type,type,
mbox_m: ( $i > $o ) > $i > $o ).
thf(mor_type,type,
mor: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(mvalid_type,type,
mvalid: ( $i > $o ) > $o ).
thf(mbox_m,axiom,
( mbox_m
= ( ^ [Phi: $i > $o,W: $i] :
! [V: $i] :
( ( Phi @ V )
| ~ ( rel_m @ W @ V ) ) ) ) ).
thf('0',plain,
( mbox_m
= ( ^ [Phi: $i > $o,W: $i] :
! [V: $i] :
( ( Phi @ V )
| ~ ( rel_m @ W @ V ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[mbox_m]) ).
thf('1',plain,
( mbox_m
= ( ^ [V_1: $i > $o,V_2: $i] :
! [X4: $i] :
( ( V_1 @ X4 )
| ~ ( rel_m @ V_2 @ X4 ) ) ) ),
define([status(thm)]) ).
thf(mvalid,axiom,
( mvalid
= ( ^ [Phi: $i > $o] :
! [W: $i] : ( Phi @ W ) ) ) ).
thf('2',plain,
( mvalid
= ( ^ [Phi: $i > $o] :
! [W: $i] : ( Phi @ W ) ) ),
inference(simplify_rw_rule,[status(thm)],[mvalid]) ).
thf('3',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('4',plain,
( mor
= ( ^ [Phi: $i > $o,Psi: $i > $o,W: $i] :
( ( Phi @ W )
| ( Psi @ W ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[mor]) ).
thf('5',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(mnot,axiom,
( mnot
= ( ^ [Phi: $i > $o,W: $i] :
~ ( Phi @ W ) ) ) ).
thf('6',plain,
( mnot
= ( ^ [Phi: $i > $o,W: $i] :
~ ( Phi @ W ) ) ),
inference(simplify_rw_rule,[status(thm)],[mnot]) ).
thf('7',plain,
( mnot
= ( ^ [V_1: $i > $o,V_2: $i] :
~ ( V_1 @ V_2 ) ) ),
define([status(thm)]) ).
thf('8',plain,
( mimplies
= ( ^ [Phi: $i > $o,Psi: $i > $o] : ( mor @ ( mnot @ Phi ) @ Psi ) ) ),
inference(simplify_rw_rule,[status(thm)],[mimplies,'5','7']) ).
thf('9',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_m @ phi ) @ phi ) ).
thf(zf_stmt_0,conjecture,
! [X4: $i] :
( ~ ! [X6: $i] :
( ( phi @ X6 )
| ~ ( rel_m @ X4 @ X6 ) )
| ( phi @ X4 ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ! [X4: $i] :
( ~ ! [X6: $i] :
( ( phi @ X6 )
| ~ ( rel_m @ X4 @ X6 ) )
| ( phi @ X4 ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1,plain,
~ ( phi @ sk__3 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl2,plain,
! [X0: $i] :
( ( phi @ X0 )
| ~ ( rel_m @ sk__3 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(mreflexive,axiom,
( mreflexive
= ( ^ [R: $i > $i > $o] :
! [S: $i] : ( R @ S @ S ) ) ) ).
thf('10',plain,
( mreflexive
= ( ^ [R: $i > $i > $o] :
! [S: $i] : ( R @ S @ S ) ) ),
inference(simplify_rw_rule,[status(thm)],[mreflexive]) ).
thf('11',plain,
( mreflexive
= ( ^ [V_1: $i > $i > $o] :
! [X4: $i] : ( V_1 @ X4 @ X4 ) ) ),
define([status(thm)]) ).
thf(a1,axiom,
mreflexive @ rel_m ).
thf(zf_stmt_2,axiom,
! [X4: $i] : ( rel_m @ X4 @ X4 ) ).
thf(zip_derived_cl0,plain,
! [X0: $i] : ( rel_m @ X0 @ X0 ),
inference(cnf,[status(esa)],[zf_stmt_2]) ).
thf(zip_derived_cl3,plain,
phi @ sk__3,
inference('sup+',[status(thm)],[zip_derived_cl2,zip_derived_cl0]) ).
thf(zip_derived_cl7,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl1,zip_derived_cl3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL722^1 : 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.A41thtKq7s true
% 0.09/0.35 % Computer : n005.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Sat Sep 5 10:26:05 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 % Running portfolio for 300 s
% 0.09/0.36 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.36 % Number of cores: 8
% 0.14/0.36 % Python version: Python 3.12.3
% 0.14/0.36 % Running in HO mode
% 0.46/0.66 % Total configuration time : 828
% 0.46/0.66 % Estimated wc time : 1656
% 0.46/0.66 % Estimated cpu time (8 cpus) : 207.0
% 0.49/0.74 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.49/0.79 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.49/0.79 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.49/0.79 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.52/0.80 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.52/0.80 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.52/0.80 % Solved by lams/40_c.s.sh.
% 0.52/0.80 % done 3 iterations in 0.019s
% 0.52/0.80 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.52/0.80 % SZS output start Refutation
% See solution above
% 0.52/0.80
% 0.52/0.80
% 0.52/0.80 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.52/0.80 % Terminating...
% 0.52/0.84 % Runner terminated.
% 0.52/0.85 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------