%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU592^2 : 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.8adorF0bdX 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 04:55:14 PM UTC 2025
% Result : Theorem 1.54s 1.23s
% Output : Refutation 1.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 8
% Syntax : Number of formulae : 18 ( 8 unt; 0 typ; 0 def)
% Number of atoms : 63 ( 7 equ; 0 cnn)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 165 ( 4 ~; 5 |; 0 &; 138 @)
% ( 0 <=>; 18 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 11 ( 9 usr; 5 con; 0-2 aty)
% Number of variables : 64 ( 20 ^; 44 !; 0 ?; 64 :)
% Comments :
%------------------------------------------------------------------------------
thf(binintersectEL_type,type,
binintersectEL: $o ).
thf(in_type,type,
in: $i > $i > $o ).
thf(sk__7_type,type,
sk__7: $i ).
thf(sk__6_type,type,
sk__6: $i ).
thf(subset_type,type,
subset: $i > $i > $o ).
thf(binintersect_type,type,
binintersect: $i > $i > $i ).
thf(sk__8_type,type,
sk__8: $i > $i > $i ).
thf(subsetI2_type,type,
subsetI2: $o ).
thf(dsetconstr_type,type,
dsetconstr: $i > ( $i > $o ) > $i ).
thf(binintersectEL,axiom,
( binintersectEL
= ( ! [A: $i,B: $i,Xx: $i] :
( ( in @ Xx @ ( binintersect @ A @ B ) )
=> ( in @ Xx @ A ) ) ) ) ).
thf('0',plain,
( binintersectEL
= ( ! [X4: $i,X6: $i,X8: $i] :
( ( in @ X8 @ ( binintersect @ X4 @ X6 ) )
=> ( in @ X8 @ X4 ) ) ) ),
define([status(thm)]) ).
thf(binintersect,axiom,
( binintersect
= ( ^ [A: $i,B: $i] :
( dsetconstr @ A
@ ^ [Xx: $i] : ( in @ Xx @ B ) ) ) ) ).
thf('1',plain,
( binintersect
= ( ^ [A: $i,B: $i] :
( dsetconstr @ A
@ ^ [Xx: $i] : ( in @ Xx @ B ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[binintersect]) ).
thf('2',plain,
( binintersect
= ( ^ [V_1: $i,V_2: $i] :
( dsetconstr @ V_1
@ ^ [V_3: $i] : ( in @ V_3 @ V_2 ) ) ) ),
define([status(thm)]) ).
thf(subsetI2,axiom,
( subsetI2
= ( ! [A: $i,B: $i] :
( ! [Xx: $i] :
( ( in @ Xx @ A )
=> ( in @ Xx @ B ) )
=> ( subset @ A @ B ) ) ) ) ).
thf('3',plain,
( subsetI2
= ( ! [X4: $i,X6: $i] :
( ! [X8: $i] :
( ( in @ X8 @ X4 )
=> ( in @ X8 @ X6 ) )
=> ( subset @ X4 @ X6 ) ) ) ),
define([status(thm)]) ).
thf(binintersectLsub,conjecture,
( subsetI2
=> ( binintersectEL
=> ! [A: $i,B: $i] : ( subset @ ( binintersect @ A @ B ) @ A ) ) ) ).
thf(zf_stmt_0,conjecture,
( ! [X4: $i,X6: $i] :
( ! [X8: $i] :
( ( in @ X8 @ X4 )
=> ( in @ X8 @ X6 ) )
=> ( subset @ X4 @ X6 ) )
=> ( ! [X10: $i,X12: $i,X14: $i] :
( ( in @ X14
@ ( dsetconstr @ X10
@ ^ [V_1: $i] : ( in @ V_1 @ X12 ) ) )
=> ( in @ X14 @ X10 ) )
=> ! [X16: $i,X18: $i] :
( subset
@ ( dsetconstr @ X16
@ ^ [V_2: $i] : ( in @ V_2 @ X18 ) )
@ X16 ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ( ! [X4: $i,X6: $i] :
( ! [X8: $i] :
( ( in @ X8 @ X4 )
=> ( in @ X8 @ X6 ) )
=> ( subset @ X4 @ X6 ) )
=> ( ! [X10: $i,X12: $i,X14: $i] :
( ( in @ X14
@ ( dsetconstr @ X10
@ ^ [V_1: $i] : ( in @ V_1 @ X12 ) ) )
=> ( in @ X14 @ X10 ) )
=> ! [X16: $i,X18: $i] :
( subset
@ ( dsetconstr @ X16
@ ^ [V_2: $i] : ( in @ V_2 @ X18 ) )
@ X16 ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2,plain,
~ ( subset
@ ( dsetconstr @ sk__6
@ ^ [Y0: $i] : ( in @ Y0 @ sk__7 ) )
@ sk__6 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl0,plain,
! [X0: $i,X1: $i] :
( ( subset @ X0 @ X1 )
| ~ ( in @ ( sk__8 @ X1 @ X0 ) @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl1,plain,
! [X0: $i,X1: $i] :
( ( subset @ X0 @ X1 )
| ( in @ ( sk__8 @ X1 @ X0 ) @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl3,plain,
! [X2: $i,X3: $i,X4: $i] :
( ( in @ X2 @ X3 )
| ~ ( in @ X2
@ ( dsetconstr @ X3
@ ^ [Y0: $i] : ( in @ Y0 @ X4 ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl12,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( subset
@ ( dsetconstr @ X1
@ ^ [Y0: $i] : ( in @ Y0 @ X0 ) )
@ X2 )
| ( in
@ ( sk__8 @ X2
@ ( dsetconstr @ X1
@ ^ [Y0: $i] : ( in @ Y0 @ X0 ) ) )
@ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl1,zip_derived_cl3]) ).
thf(zip_derived_cl15,plain,
! [X0: $i,X1: $i] :
( ( subset
@ ( dsetconstr @ X0
@ ^ [Y0: $i] : ( in @ Y0 @ X1 ) )
@ X0 )
| ( subset
@ ( dsetconstr @ X0
@ ^ [Y0: $i] : ( in @ Y0 @ X1 ) )
@ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl0,zip_derived_cl12]) ).
thf(zip_derived_cl16,plain,
! [X0: $i,X1: $i] :
( subset
@ ( dsetconstr @ X0
@ ^ [Y0: $i] : ( in @ Y0 @ X1 ) )
@ X0 ),
inference(simplify,[status(thm)],[zip_derived_cl15]) ).
thf(zip_derived_cl18,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl2,zip_derived_cl16]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.17 % Problem : SEU592^2 : TPTP v9.2.0. Released v3.7.0.
% 0.11/0.21 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.8adorF0bdX true
% 0.12/0.49 % Computer : n002.cluster.edu
% 0.12/0.49 % Model : x86_64 x86_64
% 0.12/0.49 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.49 % Memory : 8042.1875MB
% 0.12/0.49 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.49 % CPULimit : 300
% 0.12/0.49 % WCLimit : 300
% 0.12/0.49 % DateTime : Wed Oct 1 16:11:08 EDT 2025
% 0.12/0.51 % CPUTime :
% 0.12/0.51 % Running portfolio for 300 s
% 0.12/0.51 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.52 % Number of cores: 8
% 0.12/0.54 % Python version: Python 3.6.8
% 0.12/0.56 % Running in HO mode
% 0.33/0.97 % Total configuration time : 828
% 0.33/0.97 % Estimated wc time : 1656
% 0.33/0.97 % Estimated cpu time (8 cpus) : 207.0
% 0.33/1.09 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.33/1.15 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 1.54/1.23 % Solved by lams/40_c.s.sh.
% 1.54/1.23 % done 9 iterations in 0.018s
% 1.54/1.23 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.54/1.23 % SZS output start Refutation
% See solution above
% 1.60/1.23
% 1.60/1.23
% 1.60/1.24 % Terminating...
% 1.75/1.42 % Runner terminated.
% 1.75/1.43 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------