%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU622^2 : TPTP v9.2.0. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.aGApEk81VG true
% Computer : n015.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Oct 2 04:55:25 PM UTC 2025
% Result : Theorem 1.62s 0.81s
% Output : Refutation 1.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 6
% Syntax : Number of formulae : 14 ( 9 unt; 0 typ; 0 def)
% Number of atoms : 41 ( 4 equ; 0 cnn)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 114 ( 6 ~; 2 |; 0 &; 89 @)
% ( 0 <=>; 17 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 11 ( 9 usr; 6 con; 0-2 aty)
% Number of variables : 26 ( 0 ^; 26 !; 0 ?; 26 :)
% Comments :
%------------------------------------------------------------------------------
thf(sk__4_type,type,
sk__4: $i ).
thf(subset_type,type,
subset: $i > $i > $o ).
thf(in_type,type,
in: $i > $i > $o ).
thf(singletonsubset_type,type,
singletonsubset: $o ).
thf(setadjoin_type,type,
setadjoin: $i > $i > $i ).
thf(sk__5_type,type,
sk__5: $i ).
thf(powersetI1_type,type,
powersetI1: $o ).
thf(powerset_type,type,
powerset: $i > $i ).
thf(emptyset_type,type,
emptyset: $i ).
thf(singletonsubset,axiom,
( singletonsubset
= ( ! [A: $i,Xx: $i] :
( ( in @ Xx @ A )
=> ( subset @ ( setadjoin @ Xx @ emptyset ) @ A ) ) ) ) ).
thf('0',plain,
( singletonsubset
= ( ! [X4: $i,X6: $i] :
( ( in @ X6 @ X4 )
=> ( subset @ ( setadjoin @ X6 @ emptyset ) @ X4 ) ) ) ),
define([status(thm)]) ).
thf(powersetI1,axiom,
( powersetI1
= ( ! [A: $i,B: $i] :
( ( subset @ B @ A )
=> ( in @ B @ ( powerset @ A ) ) ) ) ) ).
thf('1',plain,
( powersetI1
= ( ! [X4: $i,X6: $i] :
( ( subset @ X6 @ X4 )
=> ( in @ X6 @ ( powerset @ X4 ) ) ) ) ),
define([status(thm)]) ).
thf(singletoninpowerset,conjecture,
( powersetI1
=> ( singletonsubset
=> ! [A: $i,Xx: $i] :
( ( in @ Xx @ A )
=> ( in @ ( setadjoin @ Xx @ emptyset ) @ ( powerset @ A ) ) ) ) ) ).
thf(zf_stmt_0,conjecture,
( ! [X4: $i,X6: $i] :
( ( subset @ X6 @ X4 )
=> ( in @ X6 @ ( powerset @ X4 ) ) )
=> ( ! [X8: $i,X10: $i] :
( ( in @ X10 @ X8 )
=> ( subset @ ( setadjoin @ X10 @ emptyset ) @ X8 ) )
=> ! [X12: $i,X14: $i] :
( ( in @ X14 @ X12 )
=> ( in @ ( setadjoin @ X14 @ emptyset ) @ ( powerset @ X12 ) ) ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ( ! [X4: $i,X6: $i] :
( ( subset @ X6 @ X4 )
=> ( in @ X6 @ ( powerset @ X4 ) ) )
=> ( ! [X8: $i,X10: $i] :
( ( in @ X10 @ X8 )
=> ( subset @ ( setadjoin @ X10 @ emptyset ) @ X8 ) )
=> ! [X12: $i,X14: $i] :
( ( in @ X14 @ X12 )
=> ( in @ ( setadjoin @ X14 @ emptyset ) @ ( powerset @ X12 ) ) ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3,plain,
! [X2: $i,X3: $i] :
( ( subset @ ( setadjoin @ X2 @ emptyset ) @ X3 )
| ~ ( in @ X2 @ X3 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl0,plain,
! [X0: $i,X1: $i] :
( ( in @ X0 @ ( powerset @ X1 ) )
| ~ ( subset @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl1,plain,
~ ( in @ ( setadjoin @ sk__5 @ emptyset ) @ ( powerset @ sk__4 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl4,plain,
~ ( subset @ ( setadjoin @ sk__5 @ emptyset ) @ sk__4 ),
inference('sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl1]) ).
thf(zip_derived_cl6,plain,
~ ( in @ sk__5 @ sk__4 ),
inference('sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl4]) ).
thf(zip_derived_cl2,plain,
in @ sk__5 @ sk__4,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl8,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl6,zip_derived_cl2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SEU622^2 : TPTP v9.2.0. Released v3.7.0.
% 0.12/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.aGApEk81VG true
% 0.13/0.35 % Computer : n015.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Wed Oct 1 16:15:23 EDT 2025
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.36 % Running in HO mode
% 0.20/0.66 % Total configuration time : 828
% 0.20/0.66 % Estimated wc time : 1656
% 0.20/0.66 % Estimated cpu time (8 cpus) : 207.0
% 0.20/0.76 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 1.43/0.78 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 1.43/0.80 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 1.62/0.81 % Solved by lams/40_c.s.sh.
% 1.62/0.81 % done 4 iterations in 0.011s
% 1.62/0.81 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.62/0.81 % SZS output start Refutation
% See solution above
% 1.62/0.81
% 1.62/0.81
% 1.62/0.81 % Terminating...
% 1.69/0.87 % Runner terminated.
% 1.69/0.89 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------