%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU728^2 : TPTP v9.2.0. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.v3wEr8zp9H true
% Computer : n026.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 04:55:59 PM UTC 2025
% Result : Theorem 0.93s 2.30s
% Output : Refutation 0.93s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 6
% Syntax : Number of formulae : 16 ( 10 unt; 0 typ; 0 def)
% Number of atoms : 55 ( 4 equ; 0 cnn)
% Maximal formula atoms : 9 ( 3 avg)
% Number of connectives : 176 ( 14 ~; 4 |; 0 &; 131 @)
% ( 0 <=>; 27 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 10 ( 8 usr; 6 con; 0-2 aty)
% Number of variables : 40 ( 0 ^; 40 !; 0 ?; 40 :)
% Comments :
%------------------------------------------------------------------------------
thf(in_type,type,
in: $i > $i > $o ).
thf(setminus_type,type,
setminus: $i > $i > $i ).
thf(setminusER_type,type,
setminusER: $o ).
thf(setminusI_type,type,
setminusI: $o ).
thf(sk__8_type,type,
sk__8: $i ).
thf(powerset_type,type,
powerset: $i > $i ).
thf(sk__6_type,type,
sk__6: $i ).
thf(sk__7_type,type,
sk__7: $i ).
thf(setminusER,axiom,
( setminusER
= ( ! [A: $i,B: $i,Xx: $i] :
( ( in @ Xx @ ( setminus @ A @ B ) )
=> ~ ( in @ Xx @ B ) ) ) ) ).
thf('0',plain,
( setminusER
= ( ! [X4: $i,X6: $i,X8: $i] :
( ( in @ X8 @ ( setminus @ X4 @ X6 ) )
=> ~ ( in @ X8 @ X6 ) ) ) ),
define([status(thm)]) ).
thf(setminusI,axiom,
( setminusI
= ( ! [A: $i,B: $i,Xx: $i] :
( ( in @ Xx @ A )
=> ( ~ ( in @ Xx @ B )
=> ( in @ Xx @ ( setminus @ A @ B ) ) ) ) ) ) ).
thf('1',plain,
( setminusI
= ( ! [X4: $i,X6: $i,X8: $i] :
( ( in @ X8 @ X4 )
=> ( ~ ( in @ X8 @ X6 )
=> ( in @ X8 @ ( setminus @ X4 @ X6 ) ) ) ) ) ),
define([status(thm)]) ).
thf(doubleComplementE1,conjecture,
( setminusI
=> ( setminusER
=> ! [A: $i,X: $i] :
( ( in @ X @ ( powerset @ A ) )
=> ! [Xx: $i] :
( ( in @ Xx @ A )
=> ( ( in @ Xx @ ( setminus @ A @ ( setminus @ A @ X ) ) )
=> ( in @ Xx @ X ) ) ) ) ) ) ).
thf(zf_stmt_0,conjecture,
( ! [X4: $i,X6: $i,X8: $i] :
( ( in @ X8 @ X4 )
=> ( ~ ( in @ X8 @ X6 )
=> ( in @ X8 @ ( setminus @ X4 @ X6 ) ) ) )
=> ( ! [X10: $i,X12: $i,X14: $i] :
( ( in @ X14 @ ( setminus @ X10 @ X12 ) )
=> ~ ( in @ X14 @ X12 ) )
=> ! [X16: $i,X18: $i] :
( ( in @ X18 @ ( powerset @ X16 ) )
=> ! [X20: $i] :
( ( in @ X20 @ X16 )
=> ( ( in @ X20 @ ( setminus @ X16 @ ( setminus @ X16 @ X18 ) ) )
=> ( in @ X20 @ X18 ) ) ) ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ( ! [X4: $i,X6: $i,X8: $i] :
( ( in @ X8 @ X4 )
=> ( ~ ( in @ X8 @ X6 )
=> ( in @ X8 @ ( setminus @ X4 @ X6 ) ) ) )
=> ( ! [X10: $i,X12: $i,X14: $i] :
( ( in @ X14 @ ( setminus @ X10 @ X12 ) )
=> ~ ( in @ X14 @ X12 ) )
=> ! [X16: $i,X18: $i] :
( ( in @ X18 @ ( powerset @ X16 ) )
=> ! [X20: $i] :
( ( in @ X20 @ X16 )
=> ( ( in @ X20 @ ( setminus @ X16 @ ( setminus @ X16 @ X18 ) ) )
=> ( in @ X20 @ X18 ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2,plain,
~ ( in @ sk__8 @ sk__7 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl1,plain,
in @ sk__8 @ sk__6,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl0,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( in @ X0 @ X1 )
| ( in @ X0 @ ( setminus @ X2 @ X1 ) )
| ~ ( in @ X0 @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl6,plain,
! [X0: $i] :
( ( in @ sk__8 @ ( setminus @ sk__6 @ X0 ) )
| ( in @ sk__8 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl1,zip_derived_cl0]) ).
thf(zip_derived_cl3,plain,
in @ sk__8 @ ( setminus @ sk__6 @ ( setminus @ sk__6 @ sk__7 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl5,plain,
! [X3: $i,X4: $i,X5: $i] :
( ~ ( in @ X3 @ X4 )
| ~ ( in @ X3 @ ( setminus @ X5 @ X4 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl15,plain,
~ ( in @ sk__8 @ ( setminus @ sk__6 @ sk__7 ) ),
inference('sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl5]) ).
thf(zip_derived_cl18,plain,
in @ sk__8 @ sk__7,
inference('sup-',[status(thm)],[zip_derived_cl6,zip_derived_cl15]) ).
thf(zip_derived_cl20,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl2,zip_derived_cl18]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.92 % Problem : SEU728^2 : TPTP v9.2.0. Released v3.7.0.
% 0.09/1.02 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.v3wEr8zp9H true
% 0.11/1.39 % Computer : n026.cluster.edu
% 0.11/1.39 % Model : x86_64 x86_64
% 0.11/1.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/1.39 % Memory : 8042.1875MB
% 0.11/1.39 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/1.39 % CPULimit : 300
% 0.11/1.39 % WCLimit : 300
% 0.11/1.39 % DateTime : Wed Oct 1 16:08:39 EDT 2025
% 0.11/1.41 % CPUTime :
% 0.11/1.41 % Running portfolio for 300 s
% 0.11/1.41 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/1.42 % Number of cores: 8
% 0.14/1.44 % Python version: Python 3.6.8
% 0.15/1.46 % Running in HO mode
% 0.34/1.77 % Total configuration time : 828
% 0.34/1.77 % Estimated wc time : 1656
% 0.34/1.77 % Estimated cpu time (8 cpus) : 207.0
% 0.36/2.14 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.36/2.17 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.90/2.20 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.90/2.22 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.90/2.23 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.90/2.25 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.90/2.25 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.92/2.26 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 0.93/2.30 % Solved by lams/40_c_ic.sh.
% 0.93/2.30 % done 8 iterations in 0.022s
% 0.93/2.30 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.93/2.30 % SZS output start Refutation
% See solution above
% 0.93/2.30
% 0.93/2.30
% 0.93/2.30 % Terminating...
% 1.31/2.58 % Runner terminated.
% 1.31/2.58 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------