%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : LCL723^1 : TPTP v9.3.1. Bugfixed v5.0.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.cuTrDrzJ4k true
% Computer : n009.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 0.77s
% Output : Refutation 0.48s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 22
% Syntax : Number of formulae : 50 ( 32 unt; 0 typ; 0 def)
% Number of atoms : 135 ( 24 equ; 0 cnn)
% Maximal formula atoms : 11 ( 2 avg)
% Number of connectives : 227 ( 39 ~; 34 |; 3 &; 147 @)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 36 ( 36 >; 0 *; 0 +; 0 <<)
% Number of symbols : 15 ( 13 usr; 4 con; 0-3 aty)
% Number of variables : 80 ( 39 ^; 41 !; 0 ?; 80 :)
% Comments :
%------------------------------------------------------------------------------
thf(rel_b_type,type,
rel_b: $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__5_type,type,
sk__5: $i ).
thf(mdia_b_type,type,
mdia_b: ( $i > $o ) > $i > $o ).
thf(mbox_b_type,type,
mbox_b: ( $i > $o ) > $i > $o ).
thf(msymmetric_type,type,
msymmetric: ( $i > $i > $o ) > $o ).
thf(sk__7_type,type,
sk__7: $i ).
thf(mor_type,type,
mor: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(mvalid_type,type,
mvalid: ( $i > $o ) > $o ).
thf(sk__6_type,type,
sk__6: $i ).
thf(mreflexive,axiom,
( mreflexive
= ( ^ [R: $i > $i > $o] :
! [S: $i] : ( R @ S @ S ) ) ) ).
thf('0',plain,
( mreflexive
= ( ^ [R: $i > $i > $o] :
! [S: $i] : ( R @ S @ S ) ) ),
inference(simplify_rw_rule,[status(thm)],[mreflexive]) ).
thf('1',plain,
( mreflexive
= ( ^ [V_1: $i > $i > $o] :
! [X4: $i] : ( V_1 @ X4 @ X4 ) ) ),
define([status(thm)]) ).
thf(a1,axiom,
mreflexive @ rel_b ).
thf(zf_stmt_0,axiom,
! [X4: $i] : ( rel_b @ X4 @ X4 ) ).
thf(zip_derived_cl0,plain,
! [X0: $i] : ( rel_b @ X0 @ X0 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(mdia_b,axiom,
( mdia_b
= ( ^ [Phi: $i > $o] : ( mnot @ ( mbox_b @ ( mnot @ Phi ) ) ) ) ) ).
thf(mbox_b,axiom,
( mbox_b
= ( ^ [Phi: $i > $o,W: $i] :
! [V: $i] :
( ( Phi @ V )
| ~ ( rel_b @ W @ V ) ) ) ) ).
thf('2',plain,
( mbox_b
= ( ^ [Phi: $i > $o,W: $i] :
! [V: $i] :
( ( Phi @ V )
| ~ ( rel_b @ W @ V ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[mbox_b]) ).
thf('3',plain,
( mbox_b
= ( ^ [V_1: $i > $o,V_2: $i] :
! [X4: $i] :
( ( V_1 @ X4 )
| ~ ( rel_b @ 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_b
= ( ^ [Phi: $i > $o] : ( mnot @ ( mbox_b @ ( mnot @ Phi ) ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[mdia_b,'3','5']) ).
thf('7',plain,
( mdia_b
= ( ^ [V_1: $i > $o] : ( mnot @ ( mbox_b @ ( 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 @ phi @ ( mbox_b @ ( mdia_b @ phi ) ) ) )
& ( mvalid @ ( mimplies @ ( mbox_b @ phi ) @ phi ) ) ) ).
thf(zf_stmt_1,conjecture,
( ! [X10: $i] :
( ~ ! [X12: $i] :
( ( phi @ X12 )
| ~ ( rel_b @ X10 @ X12 ) )
| ( phi @ X10 ) )
& ! [X4: $i] :
( ~ ( phi @ X4 )
| ! [X6: $i] :
( ~ ! [X8: $i] :
( ~ ( phi @ X8 )
| ~ ( rel_b @ X6 @ X8 ) )
| ~ ( rel_b @ X4 @ X6 ) ) ) ) ).
thf(zf_stmt_2,negated_conjecture,
~ ( ! [X10: $i] :
( ~ ! [X12: $i] :
( ( phi @ X12 )
| ~ ( rel_b @ X10 @ X12 ) )
| ( phi @ X10 ) )
& ! [X4: $i] :
( ~ ( phi @ X4 )
| ! [X6: $i] :
( ~ ! [X8: $i] :
( ~ ( phi @ X8 )
| ~ ( rel_b @ X6 @ X8 ) )
| ~ ( rel_b @ X4 @ X6 ) ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl3,plain,
! [X0: $i] :
( ~ ( rel_b @ sk__5 @ X0 )
| ( phi @ X0 )
| ( rel_b @ sk__6 @ sk__7 ) ),
inference(cnf,[status(esa)],[zf_stmt_2]) ).
thf(zip_derived_cl11,plain,
( ( rel_b @ sk__6 @ sk__7 )
| ( phi @ sk__5 ) ),
inference('sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl3]) ).
thf(zip_derived_cl6,plain,
( ~ ( phi @ sk__5 )
| ( rel_b @ sk__6 @ sk__7 ) ),
inference(cnf,[status(esa)],[zf_stmt_2]) ).
thf(zip_derived_cl13,plain,
rel_b @ sk__6 @ sk__7,
inference(clc,[status(thm)],[zip_derived_cl11,zip_derived_cl6]) ).
thf(msymmetric,axiom,
( msymmetric
= ( ^ [R: $i > $i > $o] :
! [S: $i,T: $i] :
( ( R @ S @ T )
=> ( R @ T @ S ) ) ) ) ).
thf('14',plain,
( msymmetric
= ( ^ [R: $i > $i > $o] :
! [S: $i,T: $i] :
( ( R @ S @ T )
=> ( R @ T @ S ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[msymmetric]) ).
thf('15',plain,
( msymmetric
= ( ^ [V_1: $i > $i > $o] :
! [X4: $i,X6: $i] :
( ( V_1 @ X4 @ X6 )
=> ( V_1 @ X6 @ X4 ) ) ) ),
define([status(thm)]) ).
thf(a2,axiom,
msymmetric @ rel_b ).
thf(zf_stmt_3,axiom,
! [X4: $i,X6: $i] :
( ( rel_b @ X4 @ X6 )
=> ( rel_b @ X6 @ X4 ) ) ).
thf(zip_derived_cl1,plain,
! [X0: $i,X1: $i] :
( ( rel_b @ X0 @ X1 )
| ~ ( rel_b @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(zip_derived_cl0_001,plain,
! [X0: $i] : ( rel_b @ X0 @ X0 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl4,plain,
! [X0: $i,X1: $i] :
( ~ ( rel_b @ sk__5 @ X0 )
| ( phi @ X0 )
| ~ ( phi @ X1 )
| ~ ( rel_b @ sk__7 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_2]) ).
thf(zip_derived_cl29,plain,
! [X0: $i] :
( ~ ( rel_b @ sk__7 @ X0 )
| ~ ( phi @ X0 )
| ( phi @ sk__5 ) ),
inference('sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl4]) ).
thf(zip_derived_cl7,plain,
! [X1: $i] :
( ~ ( phi @ sk__5 )
| ~ ( phi @ X1 )
| ~ ( rel_b @ sk__7 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_2]) ).
thf(zip_derived_cl32,plain,
! [X0: $i] :
( ~ ( phi @ X0 )
| ~ ( rel_b @ sk__7 @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl29,zip_derived_cl7]) ).
thf(zip_derived_cl33,plain,
! [X0: $i] :
( ~ ( rel_b @ X0 @ sk__7 )
| ~ ( phi @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl1,zip_derived_cl32]) ).
thf(zip_derived_cl37,plain,
~ ( phi @ sk__6 ),
inference('sup-',[status(thm)],[zip_derived_cl13,zip_derived_cl33]) ).
thf(zip_derived_cl0_002,plain,
! [X0: $i] : ( rel_b @ X0 @ X0 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2,plain,
! [X0: $i] :
( ~ ( rel_b @ sk__5 @ X0 )
| ( phi @ X0 )
| ( phi @ sk__6 ) ),
inference(cnf,[status(esa)],[zf_stmt_2]) ).
thf(zip_derived_cl8,plain,
( ( phi @ sk__6 )
| ( phi @ sk__5 ) ),
inference('sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl2]) ).
thf(zip_derived_cl5,plain,
( ~ ( phi @ sk__5 )
| ( phi @ sk__6 ) ),
inference(cnf,[status(esa)],[zf_stmt_2]) ).
thf(zip_derived_cl10,plain,
phi @ sk__6,
inference(clc,[status(thm)],[zip_derived_cl8,zip_derived_cl5]) ).
thf(zip_derived_cl43,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl37,zip_derived_cl10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL723^1 : TPTP v9.3.1. Bugfixed v5.0.0.
% 0.00/0.05 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.cuTrDrzJ4k true
% 0.11/0.36 % Computer : n009.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Sun Sep 6 01:41:37 UTC 2026
% 0.11/0.36 % CPUTime :
% 0.11/0.36 % Running portfolio for 300 s
% 0.11/0.36 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.37 % Number of cores: 8
% 0.11/0.37 % Python version: Python 3.12.3
% 0.11/0.37 % Running in HO mode
% 0.46/0.65 % Total configuration time : 828
% 0.46/0.65 % Estimated wc time : 1656
% 0.46/0.65 % Estimated cpu time (8 cpus) : 207.0
% 0.48/0.73 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.48/0.77 % Solved by lams/40_c.s.sh.
% 0.48/0.77 % done 17 iterations in 0.019s
% 0.48/0.77 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.48/0.77 % SZS output start Refutation
% See solution above
% 0.48/0.77
% 0.48/0.77
% 0.48/0.77 % Terminating...
% 1.52/0.81 % Runner terminated.
% 1.52/0.82 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------