%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU056+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.nxqIFgAQN6 true
% Computer : n026.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 04:53:22 PM UTC 2025
% Result : Theorem 1.55s 2.48s
% Output : Refutation 1.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 4
% Syntax : Number of formulae : 22 ( 11 unt; 0 typ; 0 def)
% Number of atoms : 45 ( 13 equ; 0 cnn)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 136 ( 17 ~; 10 |; 5 &; 96 @)
% ( 1 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 12 ( 10 usr; 5 con; 0-2 aty)
% Number of variables : 20 ( 0 ^; 20 !; 0 ?; 20 :)
% Comments :
%------------------------------------------------------------------------------
thf(disjoint_type,type,
disjoint: $i > $i > $o ).
thf(sk__13_type,type,
sk__13: $i ).
thf(function_type,type,
function: $i > $o ).
thf(sk__12_type,type,
sk__12: $i ).
thf(set_intersection2_type,type,
set_intersection2: $i > $i > $i ).
thf(sk__11_type,type,
sk__11: $i ).
thf(empty_set_type,type,
empty_set: $i ).
thf(relation_type,type,
relation: $i > $o ).
thf(relation_image_type,type,
relation_image: $i > $i > $i ).
thf(one_to_one_type,type,
one_to_one: $i > $o ).
thf(t149_relat_1,axiom,
! [A: $i] :
( ( relation @ A )
=> ( ( relation_image @ A @ empty_set )
= empty_set ) ) ).
thf(zip_derived_cl47,plain,
! [X0: $i] :
( ( ( relation_image @ X0 @ empty_set )
= empty_set )
| ~ ( relation @ X0 ) ),
inference(cnf,[status(esa)],[t149_relat_1]) ).
thf(t121_funct_1,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( relation @ C )
& ( function @ C ) )
=> ( ( one_to_one @ C )
=> ( ( relation_image @ C @ ( set_intersection2 @ A @ B ) )
= ( set_intersection2 @ ( relation_image @ C @ A ) @ ( relation_image @ C @ B ) ) ) ) ) ).
thf(zip_derived_cl41,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( one_to_one @ X0 )
| ( ( relation_image @ X0 @ ( set_intersection2 @ X1 @ X2 ) )
= ( set_intersection2 @ ( relation_image @ X0 @ X1 ) @ ( relation_image @ X0 @ X2 ) ) )
| ~ ( function @ X0 )
| ~ ( relation @ X0 ) ),
inference(cnf,[status(esa)],[t121_funct_1]) ).
thf(d7_xboole_0,axiom,
! [A: $i,B: $i] :
( ( disjoint @ A @ B )
<=> ( ( set_intersection2 @ A @ B )
= empty_set ) ) ).
thf(zip_derived_cl8,plain,
! [X0: $i,X1: $i] :
( ( disjoint @ X0 @ X1 )
| ( ( set_intersection2 @ X0 @ X1 )
!= empty_set ) ),
inference(cnf,[status(esa)],[d7_xboole_0]) ).
thf(t125_funct_1,conjecture,
! [A: $i,B: $i,C: $i] :
( ( ( relation @ C )
& ( function @ C ) )
=> ( ( ( disjoint @ A @ B )
& ( one_to_one @ C ) )
=> ( disjoint @ ( relation_image @ C @ A ) @ ( relation_image @ C @ B ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [A: $i,B: $i,C: $i] :
( ( ( relation @ C )
& ( function @ C ) )
=> ( ( ( disjoint @ A @ B )
& ( one_to_one @ C ) )
=> ( disjoint @ ( relation_image @ C @ A ) @ ( relation_image @ C @ B ) ) ) ),
inference('cnf.neg',[status(esa)],[t125_funct_1]) ).
thf(zip_derived_cl43,plain,
~ ( disjoint @ ( relation_image @ sk__13 @ sk__11 ) @ ( relation_image @ sk__13 @ sk__12 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl100,plain,
( ( set_intersection2 @ ( relation_image @ sk__13 @ sk__11 ) @ ( relation_image @ sk__13 @ sk__12 ) )
!= empty_set ),
inference('s_sup-',[status(thm)],[zip_derived_cl8,zip_derived_cl43]) ).
thf(zip_derived_cl164,plain,
( ~ ( relation @ sk__13 )
| ~ ( function @ sk__13 )
| ~ ( one_to_one @ sk__13 )
| ( ( relation_image @ sk__13 @ ( set_intersection2 @ sk__11 @ sk__12 ) )
!= empty_set ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl41,zip_derived_cl100]) ).
thf(zip_derived_cl45,plain,
relation @ sk__13,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl44,plain,
function @ sk__13,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl42,plain,
one_to_one @ sk__13,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl46,plain,
disjoint @ sk__11 @ sk__12,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl7,plain,
! [X0: $i,X1: $i] :
( ( ( set_intersection2 @ X0 @ X1 )
= empty_set )
| ~ ( disjoint @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[d7_xboole_0]) ).
thf(zip_derived_cl93,plain,
( ( set_intersection2 @ sk__11 @ sk__12 )
= empty_set ),
inference('s_sup-',[status(thm)],[zip_derived_cl46,zip_derived_cl7]) ).
thf(zip_derived_cl172,plain,
( ( relation_image @ sk__13 @ empty_set )
!= empty_set ),
inference(demod,[status(thm)],[zip_derived_cl164,zip_derived_cl45,zip_derived_cl44,zip_derived_cl42,zip_derived_cl93]) ).
thf(zip_derived_cl173,plain,
( ~ ( relation @ sk__13 )
| ( empty_set != empty_set ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl47,zip_derived_cl172]) ).
thf(zip_derived_cl45_001,plain,
relation @ sk__13,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl174,plain,
empty_set != empty_set,
inference(demod,[status(thm)],[zip_derived_cl173,zip_derived_cl45]) ).
thf(zip_derived_cl175,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl174]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/1.05 % Problem : SEU056+1 : TPTP v9.2.0. Released v3.2.0.
% 0.12/1.06 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.nxqIFgAQN6 true
% 0.14/1.45 % Computer : n026.cluster.edu
% 0.14/1.45 % Model : x86_64 x86_64
% 0.14/1.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/1.45 % Memory : 8042.1875MB
% 0.14/1.45 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/1.45 % CPULimit : 300
% 0.14/1.45 % WCLimit : 300
% 0.14/1.45 % DateTime : Wed Oct 1 16:04:39 EDT 2025
% 0.14/1.47 % CPUTime :
% 0.14/1.47 % Running portfolio for 300 s
% 0.14/1.47 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/1.48 % Number of cores: 8
% 0.14/1.49 % Python version: Python 3.6.8
% 0.21/1.51 % Running in FO mode
% 0.36/2.06 % Total configuration time : 435
% 0.36/2.06 % Estimated wc time : 1092
% 0.36/2.06 % Estimated cpu time (7 cpus) : 156.0
% 1.36/2.35 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 1.36/2.36 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 1.47/2.37 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 1.47/2.41 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 1.55/2.48 % Solved by fo/fo1_av.sh.
% 1.55/2.48 % done 105 iterations in 0.059s
% 1.55/2.48 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.55/2.48 % SZS output start Refutation
% See solution above
% 1.55/2.48
% 1.55/2.48
% 1.55/2.48 % Terminating...
% 1.89/2.81 % Runner terminated.
% 1.93/2.85 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------