%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU726^2 : 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.GGtdI1dEal 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 04:55:59 PM UTC 2025
% Result : Theorem 0.60s 0.84s
% Output : Refutation 0.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 10
% Syntax : Number of formulae : 41 ( 23 unt; 0 typ; 0 def)
% Number of atoms : 144 ( 8 equ; 0 cnn)
% Maximal formula atoms : 18 ( 3 avg)
% Number of connectives : 485 ( 30 ~; 26 |; 0 &; 368 @)
% ( 0 <=>; 61 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 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; 0-3 aty)
% Number of variables : 83 ( 0 ^; 83 !; 0 ?; 83 :)
% Comments :
%------------------------------------------------------------------------------
thf(sk__13_type,type,
sk__13: $i > $i > $i > $i ).
thf(in_type,type,
in: $i > $i > $o ).
thf(setminusI_type,type,
setminusI: $o ).
thf(subsetTI_type,type,
subsetTI: $o ).
thf(subset_type,type,
subset: $i > $i > $o ).
thf(setminus_type,type,
setminus: $i > $i > $i ).
thf(subsetE_type,type,
subsetE: $o ).
thf(sk__14_type,type,
sk__14: $i ).
thf(powerset_type,type,
powerset: $i > $i ).
thf(sk__16_type,type,
sk__16: $i ).
thf(sk__15_type,type,
sk__15: $i ).
thf(setminusER_type,type,
setminusER: $o ).
thf(subsetTI,axiom,
( subsetTI
= ( ! [A: $i,X: $i] :
( ( in @ X @ ( powerset @ A ) )
=> ! [Y: $i] :
( ( in @ Y @ ( powerset @ A ) )
=> ( ! [Xx: $i] :
( ( in @ Xx @ A )
=> ( ( in @ Xx @ X )
=> ( in @ Xx @ Y ) ) )
=> ( subset @ X @ Y ) ) ) ) ) ) ).
thf('0',plain,
( subsetTI
= ( ! [X4: $i,X6: $i] :
( ( in @ X6 @ ( powerset @ X4 ) )
=> ! [X8: $i] :
( ( in @ X8 @ ( powerset @ X4 ) )
=> ( ! [X10: $i] :
( ( in @ X10 @ X4 )
=> ( ( in @ X10 @ X6 )
=> ( in @ X10 @ X8 ) ) )
=> ( subset @ X6 @ X8 ) ) ) ) ) ),
define([status(thm)]) ).
thf(setminusER,axiom,
( setminusER
= ( ! [A: $i,B: $i,Xx: $i] :
( ( in @ Xx @ ( setminus @ A @ B ) )
=> ~ ( in @ Xx @ B ) ) ) ) ).
thf('1',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('2',plain,
( setminusI
= ( ! [X4: $i,X6: $i,X8: $i] :
( ( in @ X8 @ X4 )
=> ( ~ ( in @ X8 @ X6 )
=> ( in @ X8 @ ( setminus @ X4 @ X6 ) ) ) ) ) ),
define([status(thm)]) ).
thf(subsetE,axiom,
( subsetE
= ( ! [A: $i,B: $i,Xx: $i] :
( ( subset @ A @ B )
=> ( ( in @ Xx @ A )
=> ( in @ Xx @ B ) ) ) ) ) ).
thf('3',plain,
( subsetE
= ( ! [X4: $i,X6: $i,X8: $i] :
( ( subset @ X4 @ X6 )
=> ( ( in @ X8 @ X4 )
=> ( in @ X8 @ X6 ) ) ) ) ),
define([status(thm)]) ).
thf(contrasubsetT3,conjecture,
( subsetE
=> ( setminusI
=> ( setminusER
=> ( subsetTI
=> ! [A: $i,X: $i] :
( ( in @ X @ ( powerset @ A ) )
=> ! [Y: $i] :
( ( in @ Y @ ( powerset @ A ) )
=> ( ( subset @ ( setminus @ A @ Y ) @ ( setminus @ A @ X ) )
=> ( subset @ X @ Y ) ) ) ) ) ) ) ) ).
thf(zf_stmt_0,conjecture,
( ! [X4: $i,X6: $i,X8: $i] :
( ( subset @ X4 @ X6 )
=> ( ( in @ X8 @ X4 )
=> ( in @ X8 @ X6 ) ) )
=> ( ! [X10: $i,X12: $i,X14: $i] :
( ( in @ X14 @ X10 )
=> ( ~ ( in @ X14 @ X12 )
=> ( in @ X14 @ ( setminus @ X10 @ X12 ) ) ) )
=> ( ! [X16: $i,X18: $i,X20: $i] :
( ( in @ X20 @ ( setminus @ X16 @ X18 ) )
=> ~ ( in @ X20 @ X18 ) )
=> ( ! [X22: $i,X24: $i] :
( ( in @ X24 @ ( powerset @ X22 ) )
=> ! [X26: $i] :
( ( in @ X26 @ ( powerset @ X22 ) )
=> ( ! [X28: $i] :
( ( in @ X28 @ X22 )
=> ( ( in @ X28 @ X24 )
=> ( in @ X28 @ X26 ) ) )
=> ( subset @ X24 @ X26 ) ) ) )
=> ! [X30: $i,X32: $i] :
( ( in @ X32 @ ( powerset @ X30 ) )
=> ! [X34: $i] :
( ( in @ X34 @ ( powerset @ X30 ) )
=> ( ( subset @ ( setminus @ X30 @ X34 ) @ ( setminus @ X30 @ X32 ) )
=> ( subset @ X32 @ X34 ) ) ) ) ) ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ( ! [X4: $i,X6: $i,X8: $i] :
( ( subset @ X4 @ X6 )
=> ( ( in @ X8 @ X4 )
=> ( in @ X8 @ X6 ) ) )
=> ( ! [X10: $i,X12: $i,X14: $i] :
( ( in @ X14 @ X10 )
=> ( ~ ( in @ X14 @ X12 )
=> ( in @ X14 @ ( setminus @ X10 @ X12 ) ) ) )
=> ( ! [X16: $i,X18: $i,X20: $i] :
( ( in @ X20 @ ( setminus @ X16 @ X18 ) )
=> ~ ( in @ X20 @ X18 ) )
=> ( ! [X22: $i,X24: $i] :
( ( in @ X24 @ ( powerset @ X22 ) )
=> ! [X26: $i] :
( ( in @ X26 @ ( powerset @ X22 ) )
=> ( ! [X28: $i] :
( ( in @ X28 @ X22 )
=> ( ( in @ X28 @ X24 )
=> ( in @ X28 @ X26 ) ) )
=> ( subset @ X24 @ X26 ) ) ) )
=> ! [X30: $i,X32: $i] :
( ( in @ X32 @ ( powerset @ X30 ) )
=> ! [X34: $i] :
( ( in @ X34 @ ( powerset @ X30 ) )
=> ( ( subset @ ( setminus @ X30 @ X34 ) @ ( setminus @ X30 @ X32 ) )
=> ( subset @ X32 @ X34 ) ) ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3,plain,
~ ( subset @ sk__15 @ sk__16 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl5,plain,
in @ sk__15 @ ( powerset @ sk__14 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl2,plain,
in @ sk__16 @ ( powerset @ sk__14 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl8,plain,
! [X6: $i,X7: $i,X8: $i] :
( ~ ( in @ X6 @ ( powerset @ X7 ) )
| ( subset @ X8 @ X6 )
| ( in @ ( sk__13 @ X6 @ X8 @ X7 ) @ X7 )
| ~ ( in @ X8 @ ( powerset @ X7 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl28,plain,
! [X0: $i] :
( ~ ( in @ X0 @ ( powerset @ sk__14 ) )
| ( in @ ( sk__13 @ sk__16 @ X0 @ sk__14 ) @ sk__14 )
| ( subset @ X0 @ sk__16 ) ),
inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl8]) ).
thf(zip_derived_cl77,plain,
( ( subset @ sk__15 @ sk__16 )
| ( in @ ( sk__13 @ sk__16 @ sk__15 @ sk__14 ) @ sk__14 ) ),
inference('sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl28]) ).
thf(zip_derived_cl3_001,plain,
~ ( subset @ sk__15 @ sk__16 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl81,plain,
in @ ( sk__13 @ sk__16 @ sk__15 @ sk__14 ) @ sk__14,
inference(demod,[status(thm)],[zip_derived_cl77,zip_derived_cl3]) ).
thf(zip_derived_cl9,plain,
! [X9: $i,X10: $i,X11: $i] :
( ( in @ X9 @ X10 )
| ( in @ X9 @ ( setminus @ X11 @ X10 ) )
| ~ ( in @ X9 @ X11 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl84,plain,
! [X0: $i] :
( ( in @ ( sk__13 @ sk__16 @ sk__15 @ sk__14 ) @ ( setminus @ sk__14 @ X0 ) )
| ( in @ ( sk__13 @ sk__16 @ sk__15 @ sk__14 ) @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl81,zip_derived_cl9]) ).
thf(zip_derived_cl4,plain,
subset @ ( setminus @ sk__14 @ sk__16 ) @ ( setminus @ sk__14 @ sk__15 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl0,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( subset @ X0 @ X1 )
| ( in @ X2 @ X1 )
| ~ ( in @ X2 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl18,plain,
! [X0: $i] :
( ~ ( in @ X0 @ ( setminus @ sk__14 @ sk__16 ) )
| ( in @ X0 @ ( setminus @ sk__14 @ sk__15 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl0]) ).
thf(zip_derived_cl86,plain,
( ( in @ ( sk__13 @ sk__16 @ sk__15 @ sk__14 ) @ sk__16 )
| ( in @ ( sk__13 @ sk__16 @ sk__15 @ sk__14 ) @ ( setminus @ sk__14 @ sk__15 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl84,zip_derived_cl18]) ).
thf(zip_derived_cl1,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_cl94,plain,
( ( in @ ( sk__13 @ sk__16 @ sk__15 @ sk__14 ) @ sk__16 )
| ~ ( in @ ( sk__13 @ sk__16 @ sk__15 @ sk__14 ) @ sk__15 ) ),
inference('sup-',[status(thm)],[zip_derived_cl86,zip_derived_cl1]) ).
thf(zip_derived_cl5_002,plain,
in @ sk__15 @ ( powerset @ sk__14 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl2_003,plain,
in @ sk__16 @ ( powerset @ sk__14 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl6,plain,
! [X6: $i,X7: $i,X8: $i] :
( ~ ( in @ X6 @ ( powerset @ X7 ) )
| ( subset @ X8 @ X6 )
| ( in @ ( sk__13 @ X6 @ X8 @ X7 ) @ X8 )
| ~ ( in @ X8 @ ( powerset @ X7 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl24,plain,
! [X0: $i] :
( ~ ( in @ X0 @ ( powerset @ sk__14 ) )
| ( in @ ( sk__13 @ sk__16 @ X0 @ sk__14 ) @ X0 )
| ( subset @ X0 @ sk__16 ) ),
inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl6]) ).
thf(zip_derived_cl33,plain,
( ( subset @ sk__15 @ sk__16 )
| ( in @ ( sk__13 @ sk__16 @ sk__15 @ sk__14 ) @ sk__15 ) ),
inference('sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl24]) ).
thf(zip_derived_cl3_004,plain,
~ ( subset @ sk__15 @ sk__16 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl36,plain,
in @ ( sk__13 @ sk__16 @ sk__15 @ sk__14 ) @ sk__15,
inference(demod,[status(thm)],[zip_derived_cl33,zip_derived_cl3]) ).
thf(zip_derived_cl98,plain,
in @ ( sk__13 @ sk__16 @ sk__15 @ sk__14 ) @ sk__16,
inference(demod,[status(thm)],[zip_derived_cl94,zip_derived_cl36]) ).
thf(zip_derived_cl7,plain,
! [X6: $i,X7: $i,X8: $i] :
( ~ ( in @ X6 @ ( powerset @ X7 ) )
| ( subset @ X8 @ X6 )
| ~ ( in @ ( sk__13 @ X6 @ X8 @ X7 ) @ X6 )
| ~ ( in @ X8 @ ( powerset @ X7 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl100,plain,
( ~ ( in @ sk__15 @ ( powerset @ sk__14 ) )
| ( subset @ sk__15 @ sk__16 )
| ~ ( in @ sk__16 @ ( powerset @ sk__14 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl98,zip_derived_cl7]) ).
thf(zip_derived_cl5_005,plain,
in @ sk__15 @ ( powerset @ sk__14 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl2_006,plain,
in @ sk__16 @ ( powerset @ sk__14 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl104,plain,
subset @ sk__15 @ sk__16,
inference(demod,[status(thm)],[zip_derived_cl100,zip_derived_cl5,zip_derived_cl2]) ).
thf(zip_derived_cl106,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl3,zip_derived_cl104]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SEU726^2 : TPTP v9.2.0. Released v3.7.0.
% 0.07/0.15 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.GGtdI1dEal true
% 0.14/0.36 % Computer : n002.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Wed Oct 1 16:02:53 EDT 2025
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % Running portfolio for 300 s
% 0.14/0.36 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.36 % Number of cores: 8
% 0.14/0.37 % Python version: Python 3.6.8
% 0.14/0.37 % Running in HO mode
% 0.55/0.69 % Total configuration time : 828
% 0.55/0.69 % Estimated wc time : 1656
% 0.55/0.69 % Estimated cpu time (8 cpus) : 207.0
% 0.58/0.77 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.58/0.77 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.58/0.77 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.58/0.78 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.58/0.78 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.58/0.78 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.58/0.79 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.58/0.79 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 0.60/0.84 % Solved by lams/40_c_ic.sh.
% 0.60/0.84 % done 42 iterations in 0.029s
% 0.60/0.84 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.60/0.84 % SZS output start Refutation
% See solution above
% 0.60/0.84
% 0.60/0.84
% 0.60/0.84 % Terminating...
% 0.60/0.90 % Runner terminated.
% 0.60/0.91 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------