%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU090+1 : TPTP v9.2.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.IO8BmWiWSF true
% Computer : n007.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 04:53:25 PM UTC 2025
% Result : Theorem 0.59s 0.88s
% Output : Refutation 0.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 4
% Syntax : Number of formulae : 18 ( 9 unt; 0 typ; 0 def)
% Number of atoms : 41 ( 2 equ; 0 cnn)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 129 ( 15 ~; 10 |; 9 &; 91 @)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 10 ( 8 usr; 5 con; 0-4 aty)
% Number of variables : 30 ( 0 ^; 30 !; 0 ?; 30 :)
% Comments :
%------------------------------------------------------------------------------
thf(sk__27_type,type,
sk__27: $i ).
thf(finite_type,type,
finite: $i > $o ).
thf(sk__26_type,type,
sk__26: $i ).
thf(sk__28_type,type,
sk__28: $i ).
thf(cartesian_product4_type,type,
cartesian_product4: $i > $i > $i > $i > $i ).
thf(cartesian_product3_type,type,
cartesian_product3: $i > $i > $i > $i ).
thf(cartesian_product2_type,type,
cartesian_product2: $i > $i > $i ).
thf(sk__29_type,type,
sk__29: $i ).
thf(fc15_finset_1,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( finite @ A )
& ( finite @ B )
& ( finite @ C ) )
=> ( finite @ ( cartesian_product3 @ A @ B @ C ) ) ) ).
thf(zip_derived_cl32,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( finite @ X0 )
| ~ ( finite @ X1 )
| ~ ( finite @ X2 )
| ( finite @ ( cartesian_product3 @ X1 @ X0 @ X2 ) ) ),
inference(cnf,[status(esa)],[fc15_finset_1]) ).
thf(d4_zfmisc_1,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ( cartesian_product4 @ A @ B @ C @ D )
= ( cartesian_product2 @ ( cartesian_product3 @ A @ B @ C ) @ D ) ) ).
thf(zip_derived_cl26,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( cartesian_product4 @ X0 @ X1 @ X2 @ X3 )
= ( cartesian_product2 @ ( cartesian_product3 @ X0 @ X1 @ X2 ) @ X3 ) ),
inference(cnf,[status(esa)],[d4_zfmisc_1]) ).
thf(fc14_finset_1,axiom,
! [A: $i,B: $i] :
( ( ( finite @ A )
& ( finite @ B ) )
=> ( finite @ ( cartesian_product2 @ A @ B ) ) ) ).
thf(zip_derived_cl31,plain,
! [X0: $i,X1: $i] :
( ~ ( finite @ X0 )
| ~ ( finite @ X1 )
| ( finite @ ( cartesian_product2 @ X0 @ X1 ) ) ),
inference(cnf,[status(esa)],[fc14_finset_1]) ).
thf(zip_derived_cl914,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( finite @ ( cartesian_product3 @ X3 @ X2 @ X1 ) )
| ~ ( finite @ X0 )
| ( finite @ ( cartesian_product4 @ X3 @ X2 @ X1 @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl26,zip_derived_cl31]) ).
thf(t21_finset_1,conjecture,
! [A: $i,B: $i,C: $i,D: $i] :
( ( ( finite @ A )
& ( finite @ B )
& ( finite @ C )
& ( finite @ D ) )
=> ( finite @ ( cartesian_product4 @ A @ B @ C @ D ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [A: $i,B: $i,C: $i,D: $i] :
( ( ( finite @ A )
& ( finite @ B )
& ( finite @ C )
& ( finite @ D ) )
=> ( finite @ ( cartesian_product4 @ A @ B @ C @ D ) ) ),
inference('cnf.neg',[status(esa)],[t21_finset_1]) ).
thf(zip_derived_cl138,plain,
~ ( finite @ ( cartesian_product4 @ sk__26 @ sk__27 @ sk__28 @ sk__29 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1156,plain,
( ~ ( finite @ sk__29 )
| ~ ( finite @ ( cartesian_product3 @ sk__26 @ sk__27 @ sk__28 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl914,zip_derived_cl138]) ).
thf(zip_derived_cl139,plain,
finite @ sk__29,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1159,plain,
~ ( finite @ ( cartesian_product3 @ sk__26 @ sk__27 @ sk__28 ) ),
inference(demod,[status(thm)],[zip_derived_cl1156,zip_derived_cl139]) ).
thf(zip_derived_cl1161,plain,
( ~ ( finite @ sk__28 )
| ~ ( finite @ sk__26 )
| ~ ( finite @ sk__27 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl32,zip_derived_cl1159]) ).
thf(zip_derived_cl142,plain,
finite @ sk__28,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl140,plain,
finite @ sk__26,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl141,plain,
finite @ sk__27,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1164,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl1161,zip_derived_cl142,zip_derived_cl140,zip_derived_cl141]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU090+1 : TPTP v9.2.0. Released v3.2.0.
% 0.03/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.IO8BmWiWSF true
% 0.14/0.35 % Computer : n007.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Wed Oct 1 16:16:08 EDT 2025
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.21/0.36 % Python version: Python 3.6.8
% 0.21/0.36 % Running in FO mode
% 0.57/0.68 % Total configuration time : 435
% 0.57/0.68 % Estimated wc time : 1092
% 0.57/0.68 % Estimated cpu time (7 cpus) : 156.0
% 0.58/0.73 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.58/0.78 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.58/0.78 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.58/0.79 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.58/0.79 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.58/0.80 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.58/0.81 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.59/0.88 % Solved by fo/fo6_bce.sh.
% 0.59/0.88 % BCE start: 151
% 0.59/0.88 % BCE eliminated: 20
% 0.59/0.88 % PE start: 131
% 0.59/0.88 logic: eq
% 0.59/0.88 % PE eliminated: 6
% 0.59/0.88 % done 198 iterations in 0.110s
% 0.59/0.88 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.59/0.88 % SZS output start Refutation
% See solution above
% 0.59/0.88
% 0.59/0.88
% 0.59/0.88 % Terminating...
% 2.04/0.96 % Runner terminated.
% 2.04/0.97 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------