%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU756^2 : 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.zePPLLNVRO 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 04:56:09 PM UTC 2025
% Result : Theorem 1.33s 1.15s
% Output : Refutation 1.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 8
% Syntax : Number of formulae : 22 ( 15 unt; 0 typ; 0 def)
% Number of atoms : 94 ( 6 equ; 0 cnn)
% Maximal formula atoms : 15 ( 4 avg)
% Number of connectives : 364 ( 14 ~; 11 |; 0 &; 290 @)
% ( 0 <=>; 49 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 14 ( 12 usr; 8 con; 0-2 aty)
% Number of variables : 62 ( 0 ^; 62 !; 0 ?; 62 :)
% Comments :
%------------------------------------------------------------------------------
thf(demorgan2b2_type,type,
demorgan2b2: $o ).
thf(sk__13_type,type,
sk__13: $i ).
thf(binintersectEL_type,type,
binintersectEL: $o ).
thf(sk__12_type,type,
sk__12: $i ).
thf(in_type,type,
in: $i > $i > $o ).
thf(binintersectER_type,type,
binintersectER: $o ).
thf(binunion_type,type,
binunion: $i > $i > $i ).
thf(sk__11_type,type,
sk__11: $i ).
thf(binintersect_type,type,
binintersect: $i > $i > $i ).
thf(powerset_type,type,
powerset: $i > $i ).
thf(sk__10_type,type,
sk__10: $i ).
thf(setminus_type,type,
setminus: $i > $i > $i ).
thf(demorgan2b2,axiom,
( demorgan2b2
= ( ! [A: $i,X: $i] :
( ( in @ X @ ( powerset @ A ) )
=> ! [Y: $i] :
( ( in @ Y @ ( powerset @ A ) )
=> ! [Xx: $i] :
( ( in @ Xx @ A )
=> ( ( in @ Xx @ ( setminus @ A @ X ) )
=> ( ( in @ Xx @ ( setminus @ A @ Y ) )
=> ( in @ Xx @ ( setminus @ A @ ( binunion @ X @ Y ) ) ) ) ) ) ) ) ) ) ).
thf('0',plain,
( demorgan2b2
= ( ! [X4: $i,X6: $i] :
( ( in @ X6 @ ( powerset @ X4 ) )
=> ! [X8: $i] :
( ( in @ X8 @ ( powerset @ X4 ) )
=> ! [X10: $i] :
( ( in @ X10 @ X4 )
=> ( ( in @ X10 @ ( setminus @ X4 @ X6 ) )
=> ( ( in @ X10 @ ( setminus @ X4 @ X8 ) )
=> ( in @ X10 @ ( setminus @ X4 @ ( binunion @ X6 @ X8 ) ) ) ) ) ) ) ) ) ),
define([status(thm)]) ).
thf(binintersectER,axiom,
( binintersectER
= ( ! [A: $i,B: $i,Xx: $i] :
( ( in @ Xx @ ( binintersect @ A @ B ) )
=> ( in @ Xx @ B ) ) ) ) ).
thf('1',plain,
( binintersectER
= ( ! [X4: $i,X6: $i,X8: $i] :
( ( in @ X8 @ ( binintersect @ X4 @ X6 ) )
=> ( in @ X8 @ X6 ) ) ) ),
define([status(thm)]) ).
thf(binintersectEL,axiom,
( binintersectEL
= ( ! [A: $i,B: $i,Xx: $i] :
( ( in @ Xx @ ( binintersect @ A @ B ) )
=> ( in @ Xx @ A ) ) ) ) ).
thf('2',plain,
( binintersectEL
= ( ! [X4: $i,X6: $i,X8: $i] :
( ( in @ X8 @ ( binintersect @ X4 @ X6 ) )
=> ( in @ X8 @ X4 ) ) ) ),
define([status(thm)]) ).
thf(demorgan2b,conjecture,
( binintersectEL
=> ( binintersectER
=> ( demorgan2b2
=> ! [A: $i,X: $i] :
( ( in @ X @ ( powerset @ A ) )
=> ! [Y: $i] :
( ( in @ Y @ ( powerset @ A ) )
=> ! [Xx: $i] :
( ( in @ Xx @ A )
=> ( ( in @ Xx @ ( binintersect @ ( setminus @ A @ X ) @ ( setminus @ A @ Y ) ) )
=> ( in @ Xx @ ( setminus @ A @ ( binunion @ X @ Y ) ) ) ) ) ) ) ) ) ) ).
thf(zf_stmt_0,conjecture,
( ! [X4: $i,X6: $i,X8: $i] :
( ( in @ X8 @ ( binintersect @ X4 @ X6 ) )
=> ( in @ X8 @ X4 ) )
=> ( ! [X10: $i,X12: $i,X14: $i] :
( ( in @ X14 @ ( binintersect @ X10 @ X12 ) )
=> ( in @ X14 @ X12 ) )
=> ( ! [X16: $i,X18: $i] :
( ( in @ X18 @ ( powerset @ X16 ) )
=> ! [X20: $i] :
( ( in @ X20 @ ( powerset @ X16 ) )
=> ! [X22: $i] :
( ( in @ X22 @ X16 )
=> ( ( in @ X22 @ ( setminus @ X16 @ X18 ) )
=> ( ( in @ X22 @ ( setminus @ X16 @ X20 ) )
=> ( in @ X22 @ ( setminus @ X16 @ ( binunion @ X18 @ X20 ) ) ) ) ) ) ) )
=> ! [X24: $i,X26: $i] :
( ( in @ X26 @ ( powerset @ X24 ) )
=> ! [X28: $i] :
( ( in @ X28 @ ( powerset @ X24 ) )
=> ! [X30: $i] :
( ( in @ X30 @ X24 )
=> ( ( in @ X30 @ ( binintersect @ ( setminus @ X24 @ X26 ) @ ( setminus @ X24 @ X28 ) ) )
=> ( in @ X30 @ ( setminus @ X24 @ ( binunion @ X26 @ X28 ) ) ) ) ) ) ) ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ( ! [X4: $i,X6: $i,X8: $i] :
( ( in @ X8 @ ( binintersect @ X4 @ X6 ) )
=> ( in @ X8 @ X4 ) )
=> ( ! [X10: $i,X12: $i,X14: $i] :
( ( in @ X14 @ ( binintersect @ X10 @ X12 ) )
=> ( in @ X14 @ X12 ) )
=> ( ! [X16: $i,X18: $i] :
( ( in @ X18 @ ( powerset @ X16 ) )
=> ! [X20: $i] :
( ( in @ X20 @ ( powerset @ X16 ) )
=> ! [X22: $i] :
( ( in @ X22 @ X16 )
=> ( ( in @ X22 @ ( setminus @ X16 @ X18 ) )
=> ( ( in @ X22 @ ( setminus @ X16 @ X20 ) )
=> ( in @ X22 @ ( setminus @ X16 @ ( binunion @ X18 @ X20 ) ) ) ) ) ) ) )
=> ! [X24: $i,X26: $i] :
( ( in @ X26 @ ( powerset @ X24 ) )
=> ! [X28: $i] :
( ( in @ X28 @ ( powerset @ X24 ) )
=> ! [X30: $i] :
( ( in @ X30 @ X24 )
=> ( ( in @ X30 @ ( binintersect @ ( setminus @ X24 @ X26 ) @ ( setminus @ X24 @ X28 ) ) )
=> ( in @ X30 @ ( setminus @ X24 @ ( binunion @ X26 @ X28 ) ) ) ) ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1,plain,
! [X3: $i,X4: $i,X5: $i,X6: $i] :
( ~ ( in @ X3 @ ( powerset @ X4 ) )
| ~ ( in @ X5 @ ( setminus @ X4 @ X6 ) )
| ( in @ X5 @ ( setminus @ X4 @ ( binunion @ X6 @ X3 ) ) )
| ~ ( in @ X5 @ ( setminus @ X4 @ X3 ) )
| ~ ( in @ X5 @ X4 )
| ~ ( in @ X6 @ ( powerset @ X4 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl4,plain,
~ ( in @ sk__13 @ ( setminus @ sk__10 @ ( binunion @ sk__11 @ sk__12 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl12,plain,
( ~ ( in @ sk__11 @ ( powerset @ sk__10 ) )
| ~ ( in @ sk__13 @ sk__10 )
| ~ ( in @ sk__13 @ ( setminus @ sk__10 @ sk__12 ) )
| ~ ( in @ sk__13 @ ( setminus @ sk__10 @ sk__11 ) )
| ~ ( in @ sk__12 @ ( powerset @ sk__10 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl1,zip_derived_cl4]) ).
thf(zip_derived_cl6,plain,
in @ sk__11 @ ( powerset @ sk__10 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl5,plain,
in @ sk__13 @ sk__10,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl3,plain,
in @ sk__13 @ ( binintersect @ ( setminus @ sk__10 @ sk__11 ) @ ( setminus @ sk__10 @ sk__12 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl7,plain,
! [X7: $i,X8: $i,X9: $i] :
( ( in @ X7 @ X8 )
| ~ ( in @ X7 @ ( binintersect @ X9 @ X8 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl10,plain,
in @ sk__13 @ ( setminus @ sk__10 @ sk__12 ),
inference('sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl7]) ).
thf(zip_derived_cl3_001,plain,
in @ sk__13 @ ( binintersect @ ( setminus @ sk__10 @ sk__11 ) @ ( setminus @ sk__10 @ sk__12 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl0,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( in @ X0 @ X1 )
| ~ ( in @ X0 @ ( binintersect @ X1 @ X2 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl8,plain,
in @ sk__13 @ ( setminus @ sk__10 @ sk__11 ),
inference('sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl0]) ).
thf(zip_derived_cl2,plain,
in @ sk__12 @ ( powerset @ sk__10 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl14,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl12,zip_derived_cl6,zip_derived_cl5,zip_derived_cl10,zip_derived_cl8,zip_derived_cl2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.21 % Problem : SEU756^2 : TPTP v9.2.0. Released v3.7.0.
% 0.09/0.24 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.zePPLLNVRO true
% 0.09/0.51 % Computer : n015.cluster.edu
% 0.09/0.51 % Model : x86_64 x86_64
% 0.09/0.51 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.51 % Memory : 8042.1875MB
% 0.09/0.51 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.51 % CPULimit : 300
% 0.09/0.51 % WCLimit : 300
% 0.09/0.51 % DateTime : Wed Oct 1 16:13:53 EDT 2025
% 0.09/0.51 % CPUTime :
% 0.09/0.51 % Running portfolio for 300 s
% 0.09/0.51 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.51 % Number of cores: 8
% 0.09/0.52 % Python version: Python 3.6.8
% 0.09/0.52 % Running in HO mode
% 0.26/0.83 % Total configuration time : 828
% 0.26/0.83 % Estimated wc time : 1656
% 0.26/0.83 % Estimated cpu time (8 cpus) : 207.0
% 0.28/1.07 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 1.33/1.11 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 1.33/1.12 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 1.33/1.12 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 1.33/1.12 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 1.33/1.14 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 1.33/1.14 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 1.33/1.15 % Solved by lams/40_c.s.sh.
% 1.33/1.15 % done 11 iterations in 0.022s
% 1.33/1.15 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.33/1.15 % SZS output start Refutation
% See solution above
% 1.33/1.15
% 1.33/1.15
% 1.33/1.15 % Terminating...
% 1.76/1.36 % Runner terminated.
% 1.76/1.37 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------