%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU141+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.xN1ScugheU true
% Computer : n029.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 04:53:33 PM UTC 2025
% Result : Theorem 8.59s 1.87s
% Output : Refutation 8.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 7
% Syntax : Number of formulae : 54 ( 14 unt; 0 typ; 0 def)
% Number of atoms : 126 ( 55 equ; 0 cnn)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 411 ( 56 ~; 60 |; 5 &; 283 @)
% ( 7 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 11 ( 9 usr; 4 con; 0-3 aty)
% Number of variables : 93 ( 0 ^; 92 !; 1 ?; 93 :)
% Comments :
%------------------------------------------------------------------------------
thf(sk__6_type,type,
sk__6: $i ).
thf(sk__7_type,type,
sk__7: $i ).
thf(sk__2_type,type,
sk__2: $i > $i > $i > $i ).
thf(set_difference_type,type,
set_difference: $i > $i > $i ).
thf(set_intersection2_type,type,
set_intersection2: $i > $i > $i ).
thf(sk__1_type,type,
sk__1: $i > $i > $i > $i ).
thf(disjoint_type,type,
disjoint: $i > $i > $o ).
thf(in_type,type,
in: $i > $i > $o ).
thf(empty_set_type,type,
empty_set: $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_cl17,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2
= ( set_difference @ X0 @ X1 ) )
| ( in @ ( sk__2 @ X2 @ X1 @ X0 ) @ X1 )
| ~ ( in @ ( sk__2 @ X2 @ X1 @ X0 ) @ X0 )
| ~ ( in @ ( sk__2 @ X2 @ X1 @ X0 ) @ X2 ) ),
inference(cnf,[status(esa)],[d4_xboole_0]) ).
thf(zip_derived_cl513,plain,
! [X0: $i,X1: $i] :
( ~ ( in @ ( sk__2 @ X0 @ X1 @ X0 ) @ X0 )
| ( in @ ( sk__2 @ X0 @ X1 @ X0 ) @ X1 )
| ( X0
= ( set_difference @ X0 @ X1 ) ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl17]) ).
thf(zip_derived_cl19,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2
= ( set_difference @ X0 @ X1 ) )
| ( in @ ( sk__2 @ X2 @ X1 @ X0 ) @ X0 )
| ( in @ ( sk__2 @ X2 @ X1 @ X0 ) @ X2 ) ),
inference(cnf,[status(esa)],[d4_xboole_0]) ).
thf(zip_derived_cl577,plain,
! [X0: $i,X1: $i] :
( ( in @ ( sk__2 @ X0 @ X1 @ X0 ) @ X0 )
| ( X0
= ( set_difference @ X0 @ X1 ) ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl19]) ).
thf(zip_derived_cl8097,plain,
! [X0: $i,X1: $i] :
( ( X0
= ( set_difference @ X0 @ X1 ) )
| ( in @ ( sk__2 @ X0 @ X1 @ X0 ) @ X1 ) ),
inference(clc,[status(thm)],[zip_derived_cl513,zip_derived_cl577]) ).
thf(zip_derived_cl577_001,plain,
! [X0: $i,X1: $i] :
( ( in @ ( sk__2 @ X0 @ X1 @ X0 ) @ X0 )
| ( X0
= ( set_difference @ X0 @ X1 ) ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl19]) ).
thf(d3_xboole_0,axiom,
! [A: $i,B: $i,C: $i] :
( ( C
= ( set_intersection2 @ A @ B ) )
<=> ! [D: $i] :
( ( in @ D @ C )
<=> ( ( in @ D @ A )
& ( in @ D @ B ) ) ) ) ).
thf(zip_derived_cl13,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2
= ( set_intersection2 @ X0 @ X1 ) )
| ( in @ ( sk__1 @ X2 @ X1 @ X0 ) @ X0 )
| ( in @ ( sk__1 @ X2 @ X1 @ X0 ) @ X2 ) ),
inference(cnf,[status(esa)],[d3_xboole_0]) ).
thf(zip_derived_cl12,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2
= ( set_intersection2 @ X0 @ X1 ) )
| ( in @ ( sk__1 @ X2 @ X1 @ X0 ) @ X1 )
| ( in @ ( sk__1 @ X2 @ X1 @ X0 ) @ X2 ) ),
inference(cnf,[status(esa)],[d3_xboole_0]) ).
thf(t2_boole,axiom,
! [A: $i] :
( ( set_intersection2 @ A @ empty_set )
= empty_set ) ).
thf(zip_derived_cl31,plain,
! [X0: $i] :
( ( set_intersection2 @ X0 @ empty_set )
= empty_set ),
inference(cnf,[status(esa)],[t2_boole]) ).
thf(t4_xboole_0,axiom,
! [A: $i,B: $i] :
( ~ ( ? [C: $i] : ( in @ C @ ( set_intersection2 @ A @ B ) )
& ( disjoint @ A @ B ) )
& ~ ( ~ ( disjoint @ A @ B )
& ! [C: $i] :
~ ( in @ C @ ( set_intersection2 @ A @ B ) ) ) ) ).
thf(zip_derived_cl35,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( in @ X0 @ ( set_intersection2 @ X1 @ X2 ) )
| ~ ( disjoint @ X1 @ X2 ) ),
inference(cnf,[status(esa)],[t4_xboole_0]) ).
thf(zip_derived_cl58,plain,
! [X0: $i,X1: $i] :
( ~ ( in @ X1 @ empty_set )
| ~ ( disjoint @ X0 @ empty_set ) ),
inference('sup-',[status(thm)],[zip_derived_cl31,zip_derived_cl35]) ).
thf(zip_derived_cl31_002,plain,
! [X0: $i] :
( ( set_intersection2 @ X0 @ empty_set )
= empty_set ),
inference(cnf,[status(esa)],[t2_boole]) ).
thf(d7_xboole_0,axiom,
! [A: $i,B: $i] :
( ( disjoint @ A @ B )
<=> ( ( set_intersection2 @ A @ B )
= empty_set ) ) ).
thf(zip_derived_cl21,plain,
! [X0: $i,X1: $i] :
( ( disjoint @ X0 @ X1 )
| ( ( set_intersection2 @ X0 @ X1 )
!= empty_set ) ),
inference(cnf,[status(esa)],[d7_xboole_0]) ).
thf(zip_derived_cl55,plain,
! [X0: $i] :
( ( empty_set != empty_set )
| ( disjoint @ X0 @ empty_set ) ),
inference('sup-',[status(thm)],[zip_derived_cl31,zip_derived_cl21]) ).
thf(zip_derived_cl56,plain,
! [X0: $i] : ( disjoint @ X0 @ empty_set ),
inference(simplify,[status(thm)],[zip_derived_cl55]) ).
thf(zip_derived_cl79,plain,
! [X1: $i] :
~ ( in @ X1 @ empty_set ),
inference(demod,[status(thm)],[zip_derived_cl58,zip_derived_cl56]) ).
thf(zip_derived_cl353,plain,
! [X0: $i,X1: $i] :
( ( in @ ( sk__1 @ empty_set @ X1 @ X0 ) @ X1 )
| ( empty_set
= ( set_intersection2 @ X0 @ X1 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl12,zip_derived_cl79]) ).
thf(t83_xboole_1,conjecture,
! [A: $i,B: $i] :
( ( disjoint @ A @ B )
<=> ( ( set_difference @ A @ B )
= A ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [A: $i,B: $i] :
( ( disjoint @ A @ B )
<=> ( ( set_difference @ A @ B )
= A ) ),
inference('cnf.neg',[status(esa)],[t83_xboole_1]) ).
thf(zip_derived_cl38,plain,
( ( ( set_difference @ sk__6 @ sk__7 )
= sk__6 )
| ( disjoint @ sk__6 @ sk__7 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl15,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_cl194,plain,
! [X0: $i,X1: $i] :
( ( X0 != sk__6 )
| ( disjoint @ sk__6 @ sk__7 )
| ~ ( in @ X1 @ sk__7 )
| ~ ( in @ X1 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl38,zip_derived_cl15]) ).
thf(zip_derived_cl902,plain,
! [X0: $i,X1: $i] :
( ( empty_set
= ( set_intersection2 @ X0 @ sk__7 ) )
| ~ ( in @ ( sk__1 @ empty_set @ sk__7 @ X0 ) @ X1 )
| ( disjoint @ sk__6 @ sk__7 )
| ( X1 != sk__6 ) ),
inference('sup-',[status(thm)],[zip_derived_cl353,zip_derived_cl194]) ).
thf(zip_derived_cl1047,plain,
! [X0: $i] :
( ( in @ ( sk__1 @ empty_set @ sk__7 @ X0 ) @ empty_set )
| ( empty_set
= ( set_intersection2 @ X0 @ sk__7 ) )
| ( X0 != sk__6 )
| ( disjoint @ sk__6 @ sk__7 )
| ( empty_set
= ( set_intersection2 @ X0 @ sk__7 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl13,zip_derived_cl902]) ).
thf(zip_derived_cl1059,plain,
! [X0: $i] :
( ( disjoint @ sk__6 @ sk__7 )
| ( X0 != sk__6 )
| ( empty_set
= ( set_intersection2 @ X0 @ sk__7 ) )
| ( in @ ( sk__1 @ empty_set @ sk__7 @ X0 ) @ empty_set ) ),
inference(simplify,[status(thm)],[zip_derived_cl1047]) ).
thf(zip_derived_cl79_003,plain,
! [X1: $i] :
~ ( in @ X1 @ empty_set ),
inference(demod,[status(thm)],[zip_derived_cl58,zip_derived_cl56]) ).
thf(zip_derived_cl1140,plain,
! [X0: $i] :
( ( empty_set
= ( set_intersection2 @ X0 @ sk__7 ) )
| ( X0 != sk__6 )
| ( disjoint @ sk__6 @ sk__7 ) ),
inference(clc,[status(thm)],[zip_derived_cl1059,zip_derived_cl79]) ).
thf(zip_derived_cl1141,plain,
( ( disjoint @ sk__6 @ sk__7 )
| ( empty_set
= ( set_intersection2 @ sk__6 @ sk__7 ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl1140]) ).
thf(zip_derived_cl20,plain,
! [X0: $i,X1: $i] :
( ( ( set_intersection2 @ X0 @ X1 )
= empty_set )
| ~ ( disjoint @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[d7_xboole_0]) ).
thf(zip_derived_cl1142,plain,
( empty_set
= ( set_intersection2 @ sk__6 @ sk__7 ) ),
inference(clc,[status(thm)],[zip_derived_cl1141,zip_derived_cl20]) ).
thf(zip_derived_cl8,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( in @ X0 @ X1 )
| ~ ( in @ X0 @ X2 )
| ( in @ X0 @ X3 )
| ( X3
!= ( set_intersection2 @ X1 @ X2 ) ) ),
inference(cnf,[status(esa)],[d3_xboole_0]) ).
thf(zip_derived_cl1151,plain,
! [X0: $i,X1: $i] :
( ( X0 != empty_set )
| ( in @ X1 @ X0 )
| ~ ( in @ X1 @ sk__7 )
| ~ ( in @ X1 @ sk__6 ) ),
inference('sup-',[status(thm)],[zip_derived_cl1142,zip_derived_cl8]) ).
thf(t4_boole,axiom,
! [A: $i] :
( ( set_difference @ empty_set @ A )
= empty_set ) ).
thf(zip_derived_cl33,plain,
! [X0: $i] :
( ( set_difference @ empty_set @ X0 )
= empty_set ),
inference(cnf,[status(esa)],[t4_boole]) ).
thf(zip_derived_cl15_004,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_cl193,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 != empty_set )
| ~ ( in @ X2 @ X0 )
| ~ ( in @ X2 @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl33,zip_derived_cl15]) ).
thf(zip_derived_cl245,plain,
! [X0: $i,X1: $i] :
( ( X0 != empty_set )
| ~ ( in @ X1 @ X0 ) ),
inference(condensation,[status(thm)],[zip_derived_cl193]) ).
thf(zip_derived_cl1279,plain,
! [X0: $i,X1: $i] :
( ~ ( in @ X1 @ sk__6 )
| ~ ( in @ X1 @ sk__7 )
| ( X0 != empty_set ) ),
inference(clc,[status(thm)],[zip_derived_cl1151,zip_derived_cl245]) ).
thf(zip_derived_cl1712,plain,
! [X0: $i,X1: $i] :
( ( sk__6
= ( set_difference @ sk__6 @ X0 ) )
| ( X1 != empty_set )
| ~ ( in @ ( sk__2 @ sk__6 @ X0 @ sk__6 ) @ sk__7 ) ),
inference('sup-',[status(thm)],[zip_derived_cl577,zip_derived_cl1279]) ).
thf(zip_derived_cl8120,plain,
! [X0: $i] :
( ( sk__6
= ( set_difference @ sk__6 @ sk__7 ) )
| ( X0 != empty_set )
| ( sk__6
= ( set_difference @ sk__6 @ sk__7 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl8097,zip_derived_cl1712]) ).
thf(zip_derived_cl8144,plain,
! [X0: $i] :
( ( X0 != empty_set )
| ( sk__6
= ( set_difference @ sk__6 @ sk__7 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl8120]) ).
thf(zip_derived_cl39,plain,
( ( ( set_difference @ sk__6 @ sk__7 )
!= sk__6 )
| ~ ( disjoint @ sk__6 @ sk__7 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1142_005,plain,
( empty_set
= ( set_intersection2 @ sk__6 @ sk__7 ) ),
inference(clc,[status(thm)],[zip_derived_cl1141,zip_derived_cl20]) ).
thf(zip_derived_cl21_006,plain,
! [X0: $i,X1: $i] :
( ( disjoint @ X0 @ X1 )
| ( ( set_intersection2 @ X0 @ X1 )
!= empty_set ) ),
inference(cnf,[status(esa)],[d7_xboole_0]) ).
thf(zip_derived_cl1143,plain,
( ( empty_set != empty_set )
| ( disjoint @ sk__6 @ sk__7 ) ),
inference('sup-',[status(thm)],[zip_derived_cl1142,zip_derived_cl21]) ).
thf(zip_derived_cl1158,plain,
disjoint @ sk__6 @ sk__7,
inference(simplify,[status(thm)],[zip_derived_cl1143]) ).
thf(zip_derived_cl1163,plain,
( ( set_difference @ sk__6 @ sk__7 )
!= sk__6 ),
inference(demod,[status(thm)],[zip_derived_cl39,zip_derived_cl1158]) ).
thf(zip_derived_cl8145,plain,
! [X0: $i] : ( X0 != empty_set ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl8144,zip_derived_cl1163]) ).
thf(zip_derived_cl8149,plain,
$false,
inference(eq_res,[status(thm)],[zip_derived_cl8145]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : SEU141+1 : TPTP v9.2.0. Released v3.3.0.
% 0.08/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.xN1ScugheU true
% 0.15/0.35 % Computer : n029.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Wed Oct 1 16:05:53 EDT 2025
% 0.15/0.35 % CPUTime :
% 0.15/0.35 % Running portfolio for 300 s
% 0.15/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.35 % Number of cores: 8
% 0.15/0.36 % Python version: Python 3.6.8
% 0.15/0.36 % Running in FO mode
% 0.56/0.64 % Total configuration time : 435
% 0.56/0.64 % Estimated wc time : 1092
% 0.56/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.56/0.72 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.58/0.73 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.58/0.74 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.58/0.77 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.58/0.78 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.58/0.78 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.59/0.80 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 8.59/1.87 % Solved by fo/fo5.sh.
% 8.59/1.87 % done 1775 iterations in 1.044s
% 8.59/1.87 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 8.59/1.87 % SZS output start Refutation
% See solution above
% 8.59/1.87
% 8.59/1.87
% 8.59/1.87 % Terminating...
% 9.17/1.97 % Runner terminated.
% 9.17/1.98 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------