%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU764^2 : 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.RzNcxp1OTA true
% Computer : n002.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 04:56:12 PM UTC 2025
% Result : Theorem 0.93s 0.81s
% Output : Refutation 0.93s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 8
% Syntax : Number of formulae : 33 ( 19 unt; 0 typ; 0 def)
% Number of atoms : 110 ( 26 equ; 0 cnn)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 632 ( 31 ~; 20 |; 0 &; 536 @)
% ( 0 <=>; 45 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 15 ( 13 usr; 9 con; 0-2 aty)
% Number of variables : 66 ( 0 ^; 66 !; 0 ?; 66 :)
% Comments :
%------------------------------------------------------------------------------
thf(demorgan2_type,type,
demorgan2: $o ).
thf(setminus_type,type,
setminus: $i > $i > $i ).
thf(sk__10_type,type,
sk__10: $i ).
thf(sk__13_type,type,
sk__13: $i ).
thf(in_type,type,
in: $i > $i > $o ).
thf(binunion_type,type,
binunion: $i > $i > $i ).
thf(demorgan1_type,type,
demorgan1: $o ).
thf(sk__9_type,type,
sk__9: $i ).
thf(sk__12_type,type,
sk__12: $i ).
thf(binunionT_lem_type,type,
binunionT_lem: $o ).
thf(binintersect_type,type,
binintersect: $i > $i > $i ).
thf(powerset_type,type,
powerset: $i > $i ).
thf(sk__11_type,type,
sk__11: $i ).
thf(demorgan2,axiom,
( demorgan2
= ( ! [A: $i,X: $i] :
( ( in @ X @ ( powerset @ A ) )
=> ! [Y: $i] :
( ( in @ Y @ ( powerset @ A ) )
=> ( ( setminus @ A @ ( binunion @ X @ Y ) )
= ( binintersect @ ( setminus @ A @ X ) @ ( setminus @ A @ Y ) ) ) ) ) ) ) ).
thf('0',plain,
( demorgan2
= ( ! [X4: $i,X6: $i] :
( ( in @ X6 @ ( powerset @ X4 ) )
=> ! [X8: $i] :
( ( in @ X8 @ ( powerset @ X4 ) )
=> ( ( setminus @ X4 @ ( binunion @ X6 @ X8 ) )
= ( binintersect @ ( setminus @ X4 @ X6 ) @ ( setminus @ X4 @ X8 ) ) ) ) ) ) ),
define([status(thm)]) ).
thf(demorgan1,axiom,
( demorgan1
= ( ! [A: $i,X: $i] :
( ( in @ X @ ( powerset @ A ) )
=> ! [Y: $i] :
( ( in @ Y @ ( powerset @ A ) )
=> ( ( setminus @ A @ ( binintersect @ X @ Y ) )
= ( binunion @ ( setminus @ A @ X ) @ ( setminus @ A @ Y ) ) ) ) ) ) ) ).
thf('1',plain,
( demorgan1
= ( ! [X4: $i,X6: $i] :
( ( in @ X6 @ ( powerset @ X4 ) )
=> ! [X8: $i] :
( ( in @ X8 @ ( powerset @ X4 ) )
=> ( ( setminus @ X4 @ ( binintersect @ X6 @ X8 ) )
= ( binunion @ ( setminus @ X4 @ X6 ) @ ( setminus @ X4 @ X8 ) ) ) ) ) ) ),
define([status(thm)]) ).
thf(binunionT_lem,axiom,
( binunionT_lem
= ( ! [A: $i,X: $i] :
( ( in @ X @ ( powerset @ A ) )
=> ! [Y: $i] :
( ( in @ Y @ ( powerset @ A ) )
=> ( in @ ( binunion @ X @ Y ) @ ( powerset @ A ) ) ) ) ) ) ).
thf('2',plain,
( binunionT_lem
= ( ! [X4: $i,X6: $i] :
( ( in @ X6 @ ( powerset @ X4 ) )
=> ! [X8: $i] :
( ( in @ X8 @ ( powerset @ X4 ) )
=> ( in @ ( binunion @ X6 @ X8 ) @ ( powerset @ X4 ) ) ) ) ) ),
define([status(thm)]) ).
thf(woz1_2,conjecture,
( binunionT_lem
=> ( demorgan1
=> ( demorgan2
=> ! [A: $i,X: $i] :
( ( in @ X @ ( powerset @ A ) )
=> ! [Y: $i] :
( ( in @ Y @ ( powerset @ A ) )
=> ! [Z: $i] :
( ( in @ Z @ ( powerset @ A ) )
=> ! [W: $i] :
( ( in @ W @ ( powerset @ A ) )
=> ( ( setminus @ A @ ( binintersect @ ( binunion @ X @ Y ) @ ( binunion @ Z @ W ) ) )
= ( binunion @ ( binintersect @ ( setminus @ A @ X ) @ ( setminus @ A @ Y ) ) @ ( binintersect @ ( setminus @ A @ Z ) @ ( setminus @ A @ W ) ) ) ) ) ) ) ) ) ) ) ).
thf(zf_stmt_0,conjecture,
( ! [X4: $i,X6: $i] :
( ( in @ X6 @ ( powerset @ X4 ) )
=> ! [X8: $i] :
( ( in @ X8 @ ( powerset @ X4 ) )
=> ( in @ ( binunion @ X6 @ X8 ) @ ( powerset @ X4 ) ) ) )
=> ( ! [X10: $i,X12: $i] :
( ( in @ X12 @ ( powerset @ X10 ) )
=> ! [X14: $i] :
( ( in @ X14 @ ( powerset @ X10 ) )
=> ( ( setminus @ X10 @ ( binintersect @ X12 @ X14 ) )
= ( binunion @ ( setminus @ X10 @ X12 ) @ ( setminus @ X10 @ X14 ) ) ) ) )
=> ( ! [X16: $i,X18: $i] :
( ( in @ X18 @ ( powerset @ X16 ) )
=> ! [X20: $i] :
( ( in @ X20 @ ( powerset @ X16 ) )
=> ( ( setminus @ X16 @ ( binunion @ X18 @ X20 ) )
= ( binintersect @ ( setminus @ X16 @ X18 ) @ ( setminus @ X16 @ X20 ) ) ) ) )
=> ! [X22: $i,X24: $i] :
( ( in @ X24 @ ( powerset @ X22 ) )
=> ! [X26: $i] :
( ( in @ X26 @ ( powerset @ X22 ) )
=> ! [X28: $i] :
( ( in @ X28 @ ( powerset @ X22 ) )
=> ! [X30: $i] :
( ( in @ X30 @ ( powerset @ X22 ) )
=> ( ( setminus @ X22 @ ( binintersect @ ( binunion @ X24 @ X26 ) @ ( binunion @ X28 @ X30 ) ) )
= ( binunion @ ( binintersect @ ( setminus @ X22 @ X24 ) @ ( setminus @ X22 @ X26 ) ) @ ( binintersect @ ( setminus @ X22 @ X28 ) @ ( setminus @ X22 @ X30 ) ) ) ) ) ) ) ) ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ( ! [X4: $i,X6: $i] :
( ( in @ X6 @ ( powerset @ X4 ) )
=> ! [X8: $i] :
( ( in @ X8 @ ( powerset @ X4 ) )
=> ( in @ ( binunion @ X6 @ X8 ) @ ( powerset @ X4 ) ) ) )
=> ( ! [X10: $i,X12: $i] :
( ( in @ X12 @ ( powerset @ X10 ) )
=> ! [X14: $i] :
( ( in @ X14 @ ( powerset @ X10 ) )
=> ( ( setminus @ X10 @ ( binintersect @ X12 @ X14 ) )
= ( binunion @ ( setminus @ X10 @ X12 ) @ ( setminus @ X10 @ X14 ) ) ) ) )
=> ( ! [X16: $i,X18: $i] :
( ( in @ X18 @ ( powerset @ X16 ) )
=> ! [X20: $i] :
( ( in @ X20 @ ( powerset @ X16 ) )
=> ( ( setminus @ X16 @ ( binunion @ X18 @ X20 ) )
= ( binintersect @ ( setminus @ X16 @ X18 ) @ ( setminus @ X16 @ X20 ) ) ) ) )
=> ! [X22: $i,X24: $i] :
( ( in @ X24 @ ( powerset @ X22 ) )
=> ! [X26: $i] :
( ( in @ X26 @ ( powerset @ X22 ) )
=> ! [X28: $i] :
( ( in @ X28 @ ( powerset @ X22 ) )
=> ! [X30: $i] :
( ( in @ X30 @ ( powerset @ X22 ) )
=> ( ( setminus @ X22 @ ( binintersect @ ( binunion @ X24 @ X26 ) @ ( binunion @ X28 @ X30 ) ) )
= ( binunion @ ( binintersect @ ( setminus @ X22 @ X24 ) @ ( setminus @ X22 @ X26 ) ) @ ( binintersect @ ( setminus @ X22 @ X28 ) @ ( setminus @ X22 @ X30 ) ) ) ) ) ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl0,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( in @ X0 @ ( powerset @ X1 ) )
| ( in @ ( binunion @ X2 @ X0 ) @ ( powerset @ X1 ) )
| ~ ( in @ X2 @ ( powerset @ X1 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl0_001,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( in @ X0 @ ( powerset @ X1 ) )
| ( in @ ( binunion @ X2 @ X0 ) @ ( powerset @ X1 ) )
| ~ ( in @ X2 @ ( powerset @ X1 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl7,plain,
! [X6: $i,X7: $i,X8: $i] :
( ~ ( in @ X6 @ ( powerset @ X7 ) )
| ( ( setminus @ X7 @ ( binintersect @ X8 @ X6 ) )
= ( binunion @ ( setminus @ X7 @ X8 ) @ ( setminus @ X7 @ X6 ) ) )
| ~ ( in @ X8 @ ( powerset @ X7 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl1,plain,
! [X3: $i,X4: $i,X5: $i] :
( ~ ( in @ X3 @ ( powerset @ X4 ) )
| ( ( setminus @ X4 @ ( binunion @ X5 @ X3 ) )
= ( binintersect @ ( setminus @ X4 @ X5 ) @ ( setminus @ X4 @ X3 ) ) )
| ~ ( in @ X5 @ ( powerset @ X4 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl1_002,plain,
! [X3: $i,X4: $i,X5: $i] :
( ~ ( in @ X3 @ ( powerset @ X4 ) )
| ( ( setminus @ X4 @ ( binunion @ X5 @ X3 ) )
= ( binintersect @ ( setminus @ X4 @ X5 ) @ ( setminus @ X4 @ X3 ) ) )
| ~ ( in @ X5 @ ( powerset @ X4 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl4,plain,
( ( setminus @ sk__9 @ ( binintersect @ ( binunion @ sk__10 @ sk__11 ) @ ( binunion @ sk__12 @ sk__13 ) ) )
!= ( binunion @ ( binintersect @ ( setminus @ sk__9 @ sk__10 ) @ ( setminus @ sk__9 @ sk__11 ) ) @ ( binintersect @ ( setminus @ sk__9 @ sk__12 ) @ ( setminus @ sk__9 @ sk__13 ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl8,plain,
( ( ( setminus @ sk__9 @ ( binintersect @ ( binunion @ sk__10 @ sk__11 ) @ ( binunion @ sk__12 @ sk__13 ) ) )
!= ( binunion @ ( setminus @ sk__9 @ ( binunion @ sk__10 @ sk__11 ) ) @ ( binintersect @ ( setminus @ sk__9 @ sk__12 ) @ ( setminus @ sk__9 @ sk__13 ) ) ) )
| ~ ( in @ sk__10 @ ( powerset @ sk__9 ) )
| ~ ( in @ sk__11 @ ( powerset @ sk__9 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl1,zip_derived_cl4]) ).
thf(zip_derived_cl6,plain,
in @ sk__10 @ ( powerset @ sk__9 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl2,plain,
in @ sk__11 @ ( powerset @ sk__9 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl12,plain,
( ( setminus @ sk__9 @ ( binintersect @ ( binunion @ sk__10 @ sk__11 ) @ ( binunion @ sk__12 @ sk__13 ) ) )
!= ( binunion @ ( setminus @ sk__9 @ ( binunion @ sk__10 @ sk__11 ) ) @ ( binintersect @ ( setminus @ sk__9 @ sk__12 ) @ ( setminus @ sk__9 @ sk__13 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8,zip_derived_cl6,zip_derived_cl2]) ).
thf(zip_derived_cl16,plain,
( ( ( setminus @ sk__9 @ ( binintersect @ ( binunion @ sk__10 @ sk__11 ) @ ( binunion @ sk__12 @ sk__13 ) ) )
!= ( binunion @ ( setminus @ sk__9 @ ( binunion @ sk__10 @ sk__11 ) ) @ ( setminus @ sk__9 @ ( binunion @ sk__12 @ sk__13 ) ) ) )
| ~ ( in @ sk__12 @ ( powerset @ sk__9 ) )
| ~ ( in @ sk__13 @ ( powerset @ sk__9 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl1,zip_derived_cl12]) ).
thf(zip_derived_cl5,plain,
in @ sk__12 @ ( powerset @ sk__9 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl3,plain,
in @ sk__13 @ ( powerset @ sk__9 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl18,plain,
( ( setminus @ sk__9 @ ( binintersect @ ( binunion @ sk__10 @ sk__11 ) @ ( binunion @ sk__12 @ sk__13 ) ) )
!= ( binunion @ ( setminus @ sk__9 @ ( binunion @ sk__10 @ sk__11 ) ) @ ( setminus @ sk__9 @ ( binunion @ sk__12 @ sk__13 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl16,zip_derived_cl5,zip_derived_cl3]) ).
thf(zip_derived_cl24,plain,
( ( ( setminus @ sk__9 @ ( binintersect @ ( binunion @ sk__10 @ sk__11 ) @ ( binunion @ sk__12 @ sk__13 ) ) )
!= ( setminus @ sk__9 @ ( binintersect @ ( binunion @ sk__10 @ sk__11 ) @ ( binunion @ sk__12 @ sk__13 ) ) ) )
| ~ ( in @ ( binunion @ sk__10 @ sk__11 ) @ ( powerset @ sk__9 ) )
| ~ ( in @ ( binunion @ sk__12 @ sk__13 ) @ ( powerset @ sk__9 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl7,zip_derived_cl18]) ).
thf(zip_derived_cl28,plain,
( ~ ( in @ ( binunion @ sk__12 @ sk__13 ) @ ( powerset @ sk__9 ) )
| ~ ( in @ ( binunion @ sk__10 @ sk__11 ) @ ( powerset @ sk__9 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl24]) ).
thf(zip_derived_cl32,plain,
( ~ ( in @ sk__12 @ ( powerset @ sk__9 ) )
| ~ ( in @ sk__13 @ ( powerset @ sk__9 ) )
| ~ ( in @ ( binunion @ sk__10 @ sk__11 ) @ ( powerset @ sk__9 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl28]) ).
thf(zip_derived_cl5_003,plain,
in @ sk__12 @ ( powerset @ sk__9 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl3_004,plain,
in @ sk__13 @ ( powerset @ sk__9 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl34,plain,
~ ( in @ ( binunion @ sk__10 @ sk__11 ) @ ( powerset @ sk__9 ) ),
inference(demod,[status(thm)],[zip_derived_cl32,zip_derived_cl5,zip_derived_cl3]) ).
thf(zip_derived_cl36,plain,
( ~ ( in @ sk__10 @ ( powerset @ sk__9 ) )
| ~ ( in @ sk__11 @ ( powerset @ sk__9 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl34]) ).
thf(zip_derived_cl6_005,plain,
in @ sk__10 @ ( powerset @ sk__9 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl2_006,plain,
in @ sk__11 @ ( powerset @ sk__9 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl38,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl36,zip_derived_cl6,zip_derived_cl2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.14 % Problem : SEU764^2 : TPTP v9.2.0. Released v3.7.0.
% 0.07/0.15 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.RzNcxp1OTA true
% 0.16/0.36 % Computer : n002.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37 % CPULimit : 300
% 0.16/0.37 % WCLimit : 300
% 0.16/0.37 % DateTime : Wed Oct 1 16:06:23 EDT 2025
% 0.16/0.37 % CPUTime :
% 0.16/0.37 % Running portfolio for 300 s
% 0.16/0.37 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/0.37 % Number of cores: 8
% 0.16/0.37 % Python version: Python 3.6.8
% 0.16/0.37 % Running in HO mode
% 0.56/0.64 % Total configuration time : 828
% 0.56/0.64 % Estimated wc time : 1656
% 0.56/0.64 % Estimated cpu time (8 cpus) : 207.0
% 0.83/0.73 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.83/0.73 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.83/0.73 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.83/0.75 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.93/0.75 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.93/0.75 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.93/0.75 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 0.93/0.77 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.93/0.81 % Solved by lams/40_c_ic.sh.
% 0.93/0.81 % done 15 iterations in 0.036s
% 0.93/0.81 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.93/0.81 % SZS output start Refutation
% See solution above
% 0.93/0.81
% 0.93/0.81
% 0.93/0.81 % Terminating...
% 1.13/0.93 % Runner terminated.
% 2.15/0.96 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------