%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU813^2 : 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.iAep68GmzP true
% Computer : n023.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 04:56:35 PM UTC 2025
% Result : Theorem 0.56s 0.94s
% Output : Refutation 0.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 12
% Syntax : Number of formulae : 29 ( 19 unt; 0 typ; 0 def)
% Number of atoms : 112 ( 11 equ; 0 cnn)
% Maximal formula atoms : 17 ( 3 avg)
% Number of connectives : 286 ( 14 ~; 8 |; 0 &; 211 @)
% ( 0 <=>; 53 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 13 ( 11 usr; 8 con; 0-2 aty)
% Number of variables : 75 ( 3 ^; 72 !; 0 ?; 75 :)
% Comments :
%------------------------------------------------------------------------------
thf(sk__13_type,type,
sk__13: $i ).
thf(binintersectER_type,type,
binintersectER: $o ).
thf(in_type,type,
in: $i > $i > $o ).
thf(transitiveset_type,type,
transitiveset: $i > $o ).
thf(transitivesetOp1_type,type,
transitivesetOp1: $o ).
thf(binintersect_type,type,
binintersect: $i > $i > $i ).
thf(binintersectEL_type,type,
binintersectEL: $o ).
thf(binintersectSubset5_type,type,
binintersectSubset5: $o ).
thf(sk__14_type,type,
sk__14: $i ).
thf(subset_type,type,
subset: $i > $i > $o ).
thf(sk__15_type,type,
sk__15: $i ).
thf(transitivesetOp1,axiom,
( transitivesetOp1
= ( ! [X: $i] :
( ( transitiveset @ X )
=> ! [A: $i] :
( ( in @ A @ X )
=> ( subset @ A @ X ) ) ) ) ) ).
thf('0',plain,
( transitivesetOp1
= ( ! [X4: $i] :
( ( transitiveset @ X4 )
=> ! [X6: $i] :
( ( in @ X6 @ X4 )
=> ( subset @ X6 @ X4 ) ) ) ) ),
define([status(thm)]) ).
thf(transitiveset,axiom,
( transitiveset
= ( ^ [A: $i] :
! [X: $i] :
( ( in @ X @ A )
=> ( subset @ X @ A ) ) ) ) ).
thf('1',plain,
( transitiveset
= ( ^ [A: $i] :
! [X: $i] :
( ( in @ X @ A )
=> ( subset @ X @ A ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[transitiveset]) ).
thf('2',plain,
( transitiveset
= ( ^ [V_1: $i] :
! [X4: $i] :
( ( in @ X4 @ V_1 )
=> ( subset @ X4 @ V_1 ) ) ) ),
define([status(thm)]) ).
thf(binintersectER,axiom,
( binintersectER
= ( ! [A: $i,B: $i,Xx: $i] :
( ( in @ Xx @ ( binintersect @ A @ B ) )
=> ( in @ Xx @ B ) ) ) ) ).
thf('3',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('4',plain,
( binintersectEL
= ( ! [X4: $i,X6: $i,X8: $i] :
( ( in @ X8 @ ( binintersect @ X4 @ X6 ) )
=> ( in @ X8 @ X4 ) ) ) ),
define([status(thm)]) ).
thf(binintersectSubset5,axiom,
( binintersectSubset5
= ( ! [A: $i,B: $i,C: $i] :
( ( subset @ C @ A )
=> ( ( subset @ C @ B )
=> ( subset @ C @ ( binintersect @ A @ B ) ) ) ) ) ) ).
thf('5',plain,
( binintersectSubset5
= ( ! [X4: $i,X6: $i,X8: $i] :
( ( subset @ X8 @ X4 )
=> ( ( subset @ X8 @ X6 )
=> ( subset @ X8 @ ( binintersect @ X4 @ X6 ) ) ) ) ) ),
define([status(thm)]) ).
thf(binintTransitive,conjecture,
( binintersectSubset5
=> ( binintersectEL
=> ( binintersectER
=> ( transitivesetOp1
=> ! [X: $i] :
( ( transitiveset @ X )
=> ! [Y: $i] :
( ( transitiveset @ Y )
=> ( transitiveset @ ( binintersect @ X @ Y ) ) ) ) ) ) ) ) ).
thf(zf_stmt_0,conjecture,
( ! [X4: $i,X6: $i,X8: $i] :
( ( subset @ X8 @ X4 )
=> ( ( subset @ X8 @ X6 )
=> ( subset @ X8 @ ( binintersect @ X4 @ X6 ) ) ) )
=> ( ! [X10: $i,X12: $i,X14: $i] :
( ( in @ X14 @ ( binintersect @ X10 @ X12 ) )
=> ( in @ X14 @ X10 ) )
=> ( ! [X16: $i,X18: $i,X20: $i] :
( ( in @ X20 @ ( binintersect @ X16 @ X18 ) )
=> ( in @ X20 @ X18 ) )
=> ( ! [X22: $i] :
( ! [X24: $i] :
( ( in @ X24 @ X22 )
=> ( subset @ X24 @ X22 ) )
=> ! [X26: $i] :
( ( in @ X26 @ X22 )
=> ( subset @ X26 @ X22 ) ) )
=> ! [X28: $i] :
( ! [X30: $i] :
( ( in @ X30 @ X28 )
=> ( subset @ X30 @ X28 ) )
=> ! [X32: $i] :
( ! [X34: $i] :
( ( in @ X34 @ X32 )
=> ( subset @ X34 @ X32 ) )
=> ! [X36: $i] :
( ( in @ X36 @ ( binintersect @ X28 @ X32 ) )
=> ( subset @ X36 @ ( binintersect @ X28 @ X32 ) ) ) ) ) ) ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ( ! [X4: $i,X6: $i,X8: $i] :
( ( subset @ X8 @ X4 )
=> ( ( subset @ X8 @ X6 )
=> ( subset @ X8 @ ( binintersect @ X4 @ X6 ) ) ) )
=> ( ! [X10: $i,X12: $i,X14: $i] :
( ( in @ X14 @ ( binintersect @ X10 @ X12 ) )
=> ( in @ X14 @ X10 ) )
=> ( ! [X16: $i,X18: $i,X20: $i] :
( ( in @ X20 @ ( binintersect @ X16 @ X18 ) )
=> ( in @ X20 @ X18 ) )
=> ( ! [X22: $i] :
( ! [X24: $i] :
( ( in @ X24 @ X22 )
=> ( subset @ X24 @ X22 ) )
=> ! [X26: $i] :
( ( in @ X26 @ X22 )
=> ( subset @ X26 @ X22 ) ) )
=> ! [X28: $i] :
( ! [X30: $i] :
( ( in @ X30 @ X28 )
=> ( subset @ X30 @ X28 ) )
=> ! [X32: $i] :
( ! [X34: $i] :
( ( in @ X34 @ X32 )
=> ( subset @ X34 @ X32 ) )
=> ! [X36: $i] :
( ( in @ X36 @ ( binintersect @ X28 @ X32 ) )
=> ( subset @ X36 @ ( binintersect @ X28 @ X32 ) ) ) ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2,plain,
! [X6: $i] :
( ( subset @ X6 @ sk__14 )
| ~ ( in @ X6 @ sk__14 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl5,plain,
! [X7: $i] :
( ( subset @ X7 @ sk__13 )
| ~ ( in @ X7 @ sk__13 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl0,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( subset @ X0 @ X1 )
| ( subset @ X0 @ ( binintersect @ X2 @ X1 ) )
| ~ ( subset @ X0 @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl3,plain,
~ ( subset @ sk__15 @ ( binintersect @ sk__13 @ sk__14 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl29,plain,
( ~ ( subset @ sk__15 @ sk__13 )
| ~ ( subset @ sk__15 @ sk__14 ) ),
inference('sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl3]) ).
thf(zip_derived_cl33,plain,
( ~ ( in @ sk__15 @ sk__13 )
| ~ ( subset @ sk__15 @ sk__14 ) ),
inference('sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl29]) ).
thf(zip_derived_cl4,plain,
in @ sk__15 @ ( binintersect @ sk__13 @ sk__14 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl8,plain,
! [X10: $i,X11: $i,X12: $i] :
( ( in @ X10 @ X11 )
| ~ ( in @ X10 @ ( binintersect @ X11 @ X12 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl23,plain,
in @ sk__15 @ sk__13,
inference('sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl8]) ).
thf(zip_derived_cl35,plain,
~ ( subset @ sk__15 @ sk__14 ),
inference(demod,[status(thm)],[zip_derived_cl33,zip_derived_cl23]) ).
thf(zip_derived_cl37,plain,
~ ( in @ sk__15 @ sk__14 ),
inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl35]) ).
thf(zip_derived_cl4_001,plain,
in @ sk__15 @ ( binintersect @ sk__13 @ sk__14 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl1,plain,
! [X3: $i,X4: $i,X5: $i] :
( ( in @ X3 @ X4 )
| ~ ( in @ X3 @ ( binintersect @ X5 @ X4 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl17,plain,
in @ sk__15 @ sk__14,
inference('sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl1]) ).
thf(zip_derived_cl39,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl37,zip_derived_cl17]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.13 % Problem : SEU813^2 : TPTP v9.2.0. Released v3.7.0.
% 0.06/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.iAep68GmzP true
% 0.12/0.38 % Computer : n023.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8042.1875MB
% 0.12/0.38 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Wed Oct 1 16:02:23 EDT 2025
% 0.12/0.38 % CPUTime :
% 0.12/0.38 % Running portfolio for 300 s
% 0.12/0.38 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.38 % Number of cores: 8
% 0.12/0.39 % Python version: Python 3.6.8
% 0.12/0.39 % Running in HO mode
% 0.50/0.71 % Total configuration time : 828
% 0.50/0.71 % Estimated wc time : 1656
% 0.50/0.71 % Estimated cpu time (8 cpus) : 207.0
% 0.54/0.85 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.55/0.86 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.55/0.88 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.55/0.89 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.55/0.91 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.56/0.93 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.56/0.94 % Solved by lams/40_c.s.sh.
% 0.56/0.94 % done 15 iterations in 0.023s
% 0.56/0.94 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.56/0.94 % SZS output start Refutation
% See solution above
% 0.56/0.94
% 0.56/0.94
% 0.56/0.95 % Terminating...
% 0.57/1.07 % Runner terminated.
% 1.88/1.09 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------