%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU131+1 : TPTP v9.2.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.IkSmAOIbj1 true
% Computer : n031.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 04:53:31 PM UTC 2025
% Result : Theorem 0.59s 0.96s
% Output : Refutation 0.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 4
% Syntax : Number of formulae : 37 ( 9 unt; 0 typ; 0 def)
% Number of atoms : 84 ( 24 equ; 0 cnn)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 267 ( 33 ~; 40 |; 1 &; 187 @)
% ( 5 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 10 ( 8 usr; 4 con; 0-3 aty)
% Number of variables : 59 ( 0 ^; 59 !; 0 ?; 59 :)
% Comments :
%------------------------------------------------------------------------------
thf(sk__2_type,type,
sk__2: $i ).
thf(subset_type,type,
subset: $i > $i > $o ).
thf(in_type,type,
in: $i > $i > $o ).
thf(sk__1_type,type,
sk__1: $i > $i > $i > $i ).
thf(sk__type,type,
sk_: $i > $i > $i ).
thf(empty_set_type,type,
empty_set: $i ).
thf(sk__3_type,type,
sk__3: $i ).
thf(set_difference_type,type,
set_difference: $i > $i > $i ).
thf(d4_xboole_0,axiom,
! [A: $i,B: $i,C: $i] :
( ( C
= ( set_difference @ A @ B ) )
<=> ! [D: $i] :
( ( in @ D @ C )
<=> ( ( in @ D @ A )
& ~ ( in @ D @ B ) ) ) ) ).
thf(zip_derived_cl9,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2
= ( set_difference @ X0 @ X1 ) )
| ( in @ ( sk__1 @ X2 @ X1 @ X0 ) @ X0 )
| ( in @ ( sk__1 @ X2 @ X1 @ X0 ) @ X2 ) ),
inference(cnf,[status(esa)],[d4_xboole_0]) ).
thf(t4_boole,axiom,
! [A: $i] :
( ( set_difference @ empty_set @ A )
= empty_set ) ).
thf(zip_derived_cl21,plain,
! [X0: $i] :
( ( set_difference @ empty_set @ X0 )
= empty_set ),
inference(cnf,[status(esa)],[t4_boole]) ).
thf(zip_derived_cl5,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( in @ X0 @ X1 )
| ~ ( in @ X0 @ X2 )
| ( X1
!= ( set_difference @ X3 @ X2 ) ) ),
inference(cnf,[status(esa)],[d4_xboole_0]) ).
thf(zip_derived_cl139,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 != empty_set )
| ~ ( in @ X2 @ X0 )
| ~ ( in @ X2 @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl21,zip_derived_cl5]) ).
thf(zip_derived_cl185,plain,
! [X0: $i,X1: $i] :
( ( X0 != empty_set )
| ~ ( in @ X1 @ X0 ) ),
inference(condensation,[status(thm)],[zip_derived_cl139]) ).
thf(zip_derived_cl189,plain,
! [X0: $i] :
~ ( in @ X0 @ empty_set ),
inference(eq_res,[status(thm)],[zip_derived_cl185]) ).
thf(zip_derived_cl459,plain,
! [X0: $i,X1: $i] :
( ( in @ ( sk__1 @ empty_set @ X1 @ X0 ) @ X0 )
| ( empty_set
= ( set_difference @ X0 @ X1 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl9,zip_derived_cl189]) ).
thf(d3_tarski,axiom,
! [A: $i,B: $i] :
( ( subset @ A @ B )
<=> ! [C: $i] :
( ( in @ C @ A )
=> ( in @ C @ B ) ) ) ).
thf(zip_derived_cl3,plain,
! [X0: $i,X1: $i] :
( ( subset @ X0 @ X1 )
| ( in @ ( sk_ @ X1 @ X0 ) @ X0 ) ),
inference(cnf,[status(esa)],[d3_tarski]) ).
thf(l32_xboole_1,conjecture,
! [A: $i,B: $i] :
( ( ( set_difference @ A @ B )
= empty_set )
<=> ( subset @ A @ B ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [A: $i,B: $i] :
( ( ( set_difference @ A @ B )
= empty_set )
<=> ( subset @ A @ B ) ),
inference('cnf.neg',[status(esa)],[l32_xboole_1]) ).
thf(zip_derived_cl13,plain,
( ( subset @ sk__2 @ sk__3 )
| ( ( set_difference @ sk__2 @ sk__3 )
= empty_set ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl4,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( in @ X0 @ X1 )
| ( in @ X0 @ X2 )
| ( in @ X0 @ X3 )
| ( X3
!= ( set_difference @ X1 @ X2 ) ) ),
inference(cnf,[status(esa)],[d4_xboole_0]) ).
thf(zip_derived_cl183,plain,
! [X0: $i,X1: $i] :
( ( X0 != empty_set )
| ( subset @ sk__2 @ sk__3 )
| ( in @ X1 @ X0 )
| ( in @ X1 @ sk__3 )
| ~ ( in @ X1 @ sk__2 ) ),
inference('sup-',[status(thm)],[zip_derived_cl13,zip_derived_cl4]) ).
thf(zip_derived_cl1,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( in @ X0 @ X1 )
| ( in @ X0 @ X2 )
| ~ ( subset @ X1 @ X2 ) ),
inference(cnf,[status(esa)],[d3_tarski]) ).
thf(zip_derived_cl223,plain,
! [X0: $i,X1: $i] :
( ~ ( in @ X1 @ sk__2 )
| ( in @ X1 @ sk__3 )
| ( in @ X1 @ X0 )
| ( X0 != empty_set ) ),
inference(clc,[status(thm)],[zip_derived_cl183,zip_derived_cl1]) ).
thf(zip_derived_cl185_001,plain,
! [X0: $i,X1: $i] :
( ( X0 != empty_set )
| ~ ( in @ X1 @ X0 ) ),
inference(condensation,[status(thm)],[zip_derived_cl139]) ).
thf(zip_derived_cl224,plain,
! [X0: $i,X1: $i] :
( ( X0 != empty_set )
| ( in @ X1 @ sk__3 )
| ~ ( in @ X1 @ sk__2 ) ),
inference(clc,[status(thm)],[zip_derived_cl223,zip_derived_cl185]) ).
thf(zip_derived_cl225,plain,
! [X0: $i,X1: $i] :
( ( subset @ sk__2 @ X0 )
| ( in @ ( sk_ @ X0 @ sk__2 ) @ sk__3 )
| ( X1 != empty_set ) ),
inference('sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl224]) ).
thf(zip_derived_cl404,plain,
! [X0: $i] :
( ( in @ ( sk_ @ X0 @ sk__2 ) @ sk__3 )
| ( subset @ sk__2 @ X0 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl225]) ).
thf(zip_derived_cl2,plain,
! [X0: $i,X1: $i] :
( ( subset @ X0 @ X1 )
| ~ ( in @ ( sk_ @ X1 @ X0 ) @ X1 ) ),
inference(cnf,[status(esa)],[d3_tarski]) ).
thf(zip_derived_cl411,plain,
( ( subset @ sk__2 @ sk__3 )
| ( subset @ sk__2 @ sk__3 ) ),
inference('sup-',[status(thm)],[zip_derived_cl404,zip_derived_cl2]) ).
thf(zip_derived_cl420,plain,
subset @ sk__2 @ sk__3,
inference(simplify,[status(thm)],[zip_derived_cl411]) ).
thf(zip_derived_cl1_002,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( in @ X0 @ X1 )
| ( in @ X0 @ X2 )
| ~ ( subset @ X1 @ X2 ) ),
inference(cnf,[status(esa)],[d3_tarski]) ).
thf(zip_derived_cl422,plain,
! [X0: $i] :
( ( in @ X0 @ sk__3 )
| ~ ( in @ X0 @ sk__2 ) ),
inference('sup-',[status(thm)],[zip_derived_cl420,zip_derived_cl1]) ).
thf(zip_derived_cl618,plain,
! [X0: $i] :
( ( empty_set
= ( set_difference @ sk__2 @ X0 ) )
| ( in @ ( sk__1 @ empty_set @ X0 @ sk__2 ) @ sk__3 ) ),
inference('sup-',[status(thm)],[zip_derived_cl459,zip_derived_cl422]) ).
thf(zip_derived_cl8,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2
= ( set_difference @ X0 @ X1 ) )
| ~ ( in @ ( sk__1 @ X2 @ X1 @ X0 ) @ X1 )
| ( in @ ( sk__1 @ X2 @ X1 @ X0 ) @ X2 ) ),
inference(cnf,[status(esa)],[d4_xboole_0]) ).
thf(zip_derived_cl757,plain,
( ( empty_set
= ( set_difference @ sk__2 @ sk__3 ) )
| ( in @ ( sk__1 @ empty_set @ sk__3 @ sk__2 ) @ empty_set )
| ( empty_set
= ( set_difference @ sk__2 @ sk__3 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl618,zip_derived_cl8]) ).
thf(zip_derived_cl774,plain,
( ( in @ ( sk__1 @ empty_set @ sk__3 @ sk__2 ) @ empty_set )
| ( empty_set
= ( set_difference @ sk__2 @ sk__3 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl757]) ).
thf(zip_derived_cl14,plain,
( ~ ( subset @ sk__2 @ sk__3 )
| ( ( set_difference @ sk__2 @ sk__3 )
!= empty_set ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl420_003,plain,
subset @ sk__2 @ sk__3,
inference(simplify,[status(thm)],[zip_derived_cl411]) ).
thf(zip_derived_cl421,plain,
( ( set_difference @ sk__2 @ sk__3 )
!= empty_set ),
inference(demod,[status(thm)],[zip_derived_cl14,zip_derived_cl420]) ).
thf(zip_derived_cl775,plain,
in @ ( sk__1 @ empty_set @ sk__3 @ sk__2 ) @ empty_set,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl774,zip_derived_cl421]) ).
thf(zip_derived_cl189_004,plain,
! [X0: $i] :
~ ( in @ X0 @ empty_set ),
inference(eq_res,[status(thm)],[zip_derived_cl185]) ).
thf(zip_derived_cl778,plain,
$false,
inference('sup-',[status(thm)],[zip_derived_cl775,zip_derived_cl189]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SEU131+1 : TPTP v9.2.0. Released v3.3.0.
% 0.07/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.IkSmAOIbj1 true
% 0.14/0.35 % Computer : n031.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 16:06:38 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
% 0.14/0.36 % Python version: Python 3.6.8
% 0.14/0.36 % Running in FO mode
% 0.55/0.66 % Total configuration time : 435
% 0.55/0.66 % Estimated wc time : 1092
% 0.55/0.66 % Estimated cpu time (7 cpus) : 156.0
% 0.57/0.76 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.57/0.76 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.58/0.76 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.58/0.76 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.58/0.78 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.58/0.78 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.58/0.79 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.59/0.96 % Solved by fo/fo5.sh.
% 0.59/0.96 % done 170 iterations in 0.137s
% 0.59/0.96 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.59/0.96 % SZS output start Refutation
% See solution above
% 0.59/0.96
% 0.59/0.96
% 0.59/0.96 % Terminating...
% 1.67/0.99 % Runner terminated.
% 1.67/1.00 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------