%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU096+1 : TPTP v9.2.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.OF2zLT7BGs true
% Computer : n021.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 0.63s 0.88s
% Output : Refutation 0.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 3
% Syntax : Number of formulae : 17 ( 6 unt; 0 typ; 0 def)
% Number of atoms : 58 ( 13 equ; 0 cnn)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 161 ( 30 ~; 27 |; 7 &; 90 @)
% ( 0 <=>; 7 =>; 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; 3 con; 0-2 aty)
% Number of variables : 18 ( 0 ^; 18 !; 0 ?; 18 :)
% Comments :
%------------------------------------------------------------------------------
thf(finite_type,type,
finite: $i > $o ).
thf(sk__27_type,type,
sk__27: $i ).
thf(relation_image_type,type,
relation_image: $i > $i > $i ).
thf(relation_rng_type,type,
relation_rng: $i > $i ).
thf(subset_type,type,
subset: $i > $i > $o ).
thf(sk__26_type,type,
sk__26: $i ).
thf(function_type,type,
function: $i > $o ).
thf(relation_type,type,
relation: $i > $o ).
thf(relation_inverse_image_type,type,
relation_inverse_image: $i > $i > $i ).
thf(t27_finset_1,conjecture,
! [A: $i,B: $i] :
( ( ( relation @ B )
& ( function @ B ) )
=> ( ( ( subset @ A @ ( relation_rng @ B ) )
& ( finite @ ( relation_inverse_image @ B @ A ) ) )
=> ( finite @ A ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [A: $i,B: $i] :
( ( ( relation @ B )
& ( function @ B ) )
=> ( ( ( subset @ A @ ( relation_rng @ B ) )
& ( finite @ ( relation_inverse_image @ B @ A ) ) )
=> ( finite @ A ) ) ),
inference('cnf.neg',[status(esa)],[t27_finset_1]) ).
thf(zip_derived_cl137,plain,
finite @ ( relation_inverse_image @ sk__27 @ sk__26 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl136,plain,
subset @ sk__26 @ ( relation_rng @ sk__27 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(t147_funct_1,axiom,
! [A: $i,B: $i] :
( ( ( relation @ B )
& ( function @ B ) )
=> ( ( subset @ A @ ( relation_rng @ B ) )
=> ( ( relation_image @ B @ ( relation_inverse_image @ B @ A ) )
= A ) ) ) ).
thf(zip_derived_cl133,plain,
! [X0: $i,X1: $i] :
( ~ ( subset @ X0 @ ( relation_rng @ X1 ) )
| ( ( relation_image @ X1 @ ( relation_inverse_image @ X1 @ X0 ) )
= X0 )
| ~ ( function @ X1 )
| ~ ( relation @ X1 ) ),
inference(cnf,[status(esa)],[t147_funct_1]) ).
thf(zip_derived_cl553,plain,
! [X0: $i,X1: $i] :
( ( sk__26 != X1 )
| ( ( relation_rng @ sk__27 )
!= ( relation_rng @ X0 ) )
| ~ ( relation @ X0 )
| ~ ( function @ X0 )
| ( ( relation_image @ X0 @ ( relation_inverse_image @ X0 @ X1 ) )
= X1 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl136,zip_derived_cl133]) ).
thf(fc13_finset_1,axiom,
! [A: $i,B: $i] :
( ( ( relation @ A )
& ( function @ A )
& ( finite @ B ) )
=> ( finite @ ( relation_image @ A @ B ) ) ) ).
thf(zip_derived_cl29,plain,
! [X0: $i,X1: $i] :
( ~ ( function @ X0 )
| ~ ( relation @ X0 )
| ~ ( finite @ X1 )
| ( finite @ ( relation_image @ X0 @ X1 ) ) ),
inference(cnf,[status(esa)],[fc13_finset_1]) ).
thf(zip_derived_cl1164,plain,
! [X0: $i,X1: $i] :
( ( finite @ X0 )
| ~ ( function @ X1 )
| ~ ( relation @ X1 )
| ( ( relation_rng @ sk__27 )
!= ( relation_rng @ X1 ) )
| ( sk__26 != X0 )
| ~ ( finite @ ( relation_inverse_image @ X1 @ X0 ) )
| ~ ( relation @ X1 )
| ~ ( function @ X1 ) ),
inference('sup+',[status(thm)],[zip_derived_cl553,zip_derived_cl29]) ).
thf(zip_derived_cl1165,plain,
! [X0: $i,X1: $i] :
( ~ ( finite @ ( relation_inverse_image @ X1 @ X0 ) )
| ( sk__26 != X0 )
| ( ( relation_rng @ sk__27 )
!= ( relation_rng @ X1 ) )
| ~ ( relation @ X1 )
| ~ ( function @ X1 )
| ( finite @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl1164]) ).
thf(zip_derived_cl1175,plain,
( ( finite @ sk__26 )
| ~ ( function @ sk__27 )
| ~ ( relation @ sk__27 )
| ( ( relation_rng @ sk__27 )
!= ( relation_rng @ sk__27 ) )
| ( sk__26 != sk__26 ) ),
inference('sup-',[status(thm)],[zip_derived_cl137,zip_derived_cl1165]) ).
thf(zip_derived_cl140,plain,
~ ( finite @ sk__26 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl138,plain,
function @ sk__27,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl139,plain,
relation @ sk__27,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1176,plain,
( ( ( relation_rng @ sk__27 )
!= ( relation_rng @ sk__27 ) )
| ( sk__26 != sk__26 ) ),
inference(demod,[status(thm)],[zip_derived_cl1175,zip_derived_cl140,zip_derived_cl138,zip_derived_cl139]) ).
thf(zip_derived_cl1177,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl1176]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU096+1 : TPTP v9.2.0. Released v3.2.0.
% 0.12/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.OF2zLT7BGs true
% 0.14/0.35 % Computer : n021.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 16:07:53 EDT 2025
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.14/0.35 % Python version: Python 3.6.8
% 0.14/0.36 % Running in FO mode
% 0.59/0.69 % Total configuration time : 435
% 0.59/0.69 % Estimated wc time : 1092
% 0.59/0.69 % Estimated cpu time (7 cpus) : 156.0
% 0.61/0.79 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.61/0.79 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.61/0.79 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.61/0.79 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.61/0.79 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.61/0.79 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.61/0.81 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.63/0.88 % Solved by fo/fo3_bce.sh.
% 0.63/0.88 % BCE start: 149
% 0.63/0.88 % BCE eliminated: 21
% 0.63/0.88 % PE start: 128
% 0.63/0.88 logic: eq
% 0.63/0.88 % PE eliminated: 4
% 0.63/0.88 % done 216 iterations in 0.058s
% 0.63/0.88 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.63/0.88 % SZS output start Refutation
% See solution above
% 0.63/0.88
% 0.63/0.88
% 0.63/0.88 % Terminating...
% 0.66/0.98 % Runner terminated.
% 0.66/0.99 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------