%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU162+2 : 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.T4nPKFUIWs 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 04:53:40 PM UTC 2025
% Result : Theorem 3.14s 1.15s
% Output : Refutation 3.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 11
% Syntax : Number of formulae : 60 ( 18 unt; 0 typ; 0 def)
% Number of atoms : 115 ( 50 equ; 0 cnn)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 364 ( 48 ~; 42 |; 1 &; 261 @)
% ( 8 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 11 ( 9 usr; 4 con; 0-2 aty)
% Number of variables : 99 ( 0 ^; 99 !; 0 ?; 99 :)
% Comments :
%------------------------------------------------------------------------------
thf(singleton_type,type,
singleton: $i > $i ).
thf(set_difference_type,type,
set_difference: $i > $i > $i ).
thf(subset_type,type,
subset: $i > $i > $o ).
thf(in_type,type,
in: $i > $i > $o ).
thf(empty_set_type,type,
empty_set: $i ).
thf(sk__1_type,type,
sk__1: $i > $i > $i ).
thf(sk__4_type,type,
sk__4: $i ).
thf(sk__5_type,type,
sk__5: $i ).
thf(set_union2_type,type,
set_union2: $i > $i > $i ).
thf(t36_xboole_1,axiom,
! [A: $i,B: $i] : ( subset @ ( set_difference @ A @ B ) @ A ) ).
thf(zip_derived_cl27,plain,
! [X0: $i,X1: $i] : ( subset @ ( set_difference @ X0 @ X1 ) @ X0 ),
inference(cnf,[status(esa)],[t36_xboole_1]) ).
thf(l32_xboole_1,axiom,
! [A: $i,B: $i] :
( ( ( set_difference @ A @ B )
= empty_set )
<=> ( subset @ A @ B ) ) ).
thf(zip_derived_cl19,plain,
! [X0: $i,X1: $i] :
( ( ( set_difference @ X0 @ X1 )
= empty_set )
| ~ ( subset @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[l32_xboole_1]) ).
thf(zip_derived_cl359,plain,
! [X0: $i,X1: $i] :
( ( set_difference @ ( set_difference @ X0 @ X1 ) @ X0 )
= empty_set ),
inference('sup-',[status(thm)],[zip_derived_cl27,zip_derived_cl19]) ).
thf(d3_tarski,axiom,
! [A: $i,B: $i] :
( ( subset @ A @ B )
<=> ! [C: $i] :
( ( in @ C @ A )
=> ( in @ C @ B ) ) ) ).
thf(zip_derived_cl7,plain,
! [X0: $i,X1: $i] :
( ( subset @ X0 @ X1 )
| ( in @ ( sk__1 @ X1 @ X0 ) @ X0 ) ),
inference(cnf,[status(esa)],[d3_tarski]) ).
thf(t4_boole,axiom,
! [A: $i] :
( ( set_difference @ empty_set @ A )
= empty_set ) ).
thf(zip_derived_cl41,plain,
! [X0: $i] :
( ( set_difference @ empty_set @ X0 )
= empty_set ),
inference(cnf,[status(esa)],[t4_boole]) ).
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,X3: $i] :
( ~ ( in @ X0 @ X1 )
| ~ ( in @ X0 @ X2 )
| ( X1
!= ( set_difference @ X3 @ X2 ) ) ),
inference(cnf,[status(esa)],[d4_xboole_0]) ).
thf(zip_derived_cl46,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0
!= ( set_difference @ X2 @ X0 ) )
| ~ ( in @ X1 @ X0 ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl9]) ).
thf(zip_derived_cl51,plain,
! [X0: $i,X1: $i] :
( ( X0 != empty_set )
| ~ ( in @ X1 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl41,zip_derived_cl46]) ).
thf(zip_derived_cl240,plain,
! [X0: $i,X1: $i] :
( ( subset @ X0 @ X1 )
| ( X0 != empty_set ) ),
inference('sup-',[status(thm)],[zip_derived_cl7,zip_derived_cl51]) ).
thf(zip_derived_cl19_001,plain,
! [X0: $i,X1: $i] :
( ( ( set_difference @ X0 @ X1 )
= empty_set )
| ~ ( subset @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[l32_xboole_1]) ).
thf(zip_derived_cl385,plain,
! [X0: $i,X1: $i] :
( ( X1 != empty_set )
| ( ( set_difference @ X1 @ X0 )
= empty_set ) ),
inference('sup-',[status(thm)],[zip_derived_cl240,zip_derived_cl19]) ).
thf(t39_xboole_1,axiom,
! [A: $i,B: $i] :
( ( set_union2 @ A @ ( set_difference @ B @ A ) )
= ( set_union2 @ A @ B ) ) ).
thf(zip_derived_cl32,plain,
! [X0: $i,X1: $i] :
( ( set_union2 @ X0 @ ( set_difference @ X1 @ X0 ) )
= ( set_union2 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[t39_xboole_1]) ).
thf(zip_derived_cl532,plain,
! [X0: $i,X1: $i] :
( ( ( set_union2 @ X1 @ empty_set )
= ( set_union2 @ X1 @ X0 ) )
| ( X0 != empty_set ) ),
inference('sup+',[status(thm)],[zip_derived_cl385,zip_derived_cl32]) ).
thf(zip_derived_cl6,plain,
! [X0: $i,X1: $i] :
( ( subset @ X0 @ X1 )
| ~ ( in @ ( sk__1 @ X1 @ X0 ) @ X1 ) ),
inference(cnf,[status(esa)],[d3_tarski]) ).
thf(zip_derived_cl7_002,plain,
! [X0: $i,X1: $i] :
( ( subset @ X0 @ X1 )
| ( in @ ( sk__1 @ X1 @ X0 ) @ X0 ) ),
inference(cnf,[status(esa)],[d3_tarski]) ).
thf(zip_derived_cl244,plain,
! [X0: $i] :
( ( subset @ X0 @ X0 )
| ( subset @ X0 @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl6,zip_derived_cl7]) ).
thf(zip_derived_cl247,plain,
! [X0: $i] : ( subset @ X0 @ X0 ),
inference(simplify,[status(thm)],[zip_derived_cl244]) ).
thf(zip_derived_cl19_003,plain,
! [X0: $i,X1: $i] :
( ( ( set_difference @ X0 @ X1 )
= empty_set )
| ~ ( subset @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[l32_xboole_1]) ).
thf(zip_derived_cl255,plain,
! [X0: $i] :
( ( set_difference @ X0 @ X0 )
= empty_set ),
inference('sup-',[status(thm)],[zip_derived_cl247,zip_derived_cl19]) ).
thf(t45_xboole_1,axiom,
! [A: $i,B: $i] :
( ( subset @ A @ B )
=> ( B
= ( set_union2 @ A @ ( set_difference @ B @ A ) ) ) ) ).
thf(zip_derived_cl38,plain,
! [X0: $i,X1: $i] :
( ( X1
= ( set_union2 @ X0 @ ( set_difference @ X1 @ X0 ) ) )
| ~ ( subset @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[t45_xboole_1]) ).
thf(zip_derived_cl414,plain,
! [X0: $i] :
( ( X0
= ( set_union2 @ X0 @ empty_set ) )
| ~ ( subset @ X0 @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl255,zip_derived_cl38]) ).
thf(zip_derived_cl247_004,plain,
! [X0: $i] : ( subset @ X0 @ X0 ),
inference(simplify,[status(thm)],[zip_derived_cl244]) ).
thf(zip_derived_cl418,plain,
! [X0: $i] :
( X0
= ( set_union2 @ X0 @ empty_set ) ),
inference(demod,[status(thm)],[zip_derived_cl414,zip_derived_cl247]) ).
thf(zip_derived_cl540,plain,
! [X0: $i,X1: $i] :
( ( X1
= ( set_union2 @ X1 @ X0 ) )
| ( X0 != empty_set ) ),
inference(demod,[status(thm)],[zip_derived_cl532,zip_derived_cl418]) ).
thf(zip_derived_cl38_005,plain,
! [X0: $i,X1: $i] :
( ( X1
= ( set_union2 @ X0 @ ( set_difference @ X1 @ X0 ) ) )
| ~ ( subset @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[t45_xboole_1]) ).
thf(zip_derived_cl1024,plain,
! [X0: $i,X1: $i] :
( ( X1 = X0 )
| ( ( set_difference @ X1 @ X0 )
!= empty_set )
| ~ ( subset @ X0 @ X1 ) ),
inference('sup+',[status(thm)],[zip_derived_cl540,zip_derived_cl38]) ).
thf(t65_zfmisc_1,conjecture,
! [A: $i,B: $i] :
( ( ( set_difference @ A @ ( singleton @ B ) )
= A )
<=> ~ ( in @ B @ A ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [A: $i,B: $i] :
( ( ( set_difference @ A @ ( singleton @ B ) )
= A )
<=> ~ ( in @ B @ A ) ),
inference('cnf.neg',[status(esa)],[t65_zfmisc_1]) ).
thf(zip_derived_cl43,plain,
( ~ ( in @ sk__5 @ sk__4 )
| ( ( set_difference @ sk__4 @ ( singleton @ sk__5 ) )
= sk__4 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(t33_xboole_1,axiom,
! [A: $i,B: $i,C: $i] :
( ( subset @ A @ B )
=> ( subset @ ( set_difference @ A @ C ) @ ( set_difference @ B @ C ) ) ) ).
thf(zip_derived_cl26,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( subset @ X0 @ X1 )
| ( subset @ ( set_difference @ X0 @ X2 ) @ ( set_difference @ X1 @ X2 ) ) ),
inference(cnf,[status(esa)],[t33_xboole_1]) ).
thf(zip_derived_cl700,plain,
! [X0: $i] :
( ( subset @ sk__4 @ ( set_difference @ X0 @ ( singleton @ sk__5 ) ) )
| ~ ( in @ sk__5 @ sk__4 )
| ~ ( subset @ sk__4 @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl43,zip_derived_cl26]) ).
thf(l3_zfmisc_1,axiom,
! [A: $i,B: $i,C: $i] :
( ( subset @ A @ B )
=> ( ( in @ C @ A )
| ( subset @ A @ ( set_difference @ B @ ( singleton @ C ) ) ) ) ) ).
thf(zip_derived_cl20,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( subset @ X0 @ X1 )
| ( in @ X2 @ X0 )
| ( subset @ X0 @ ( set_difference @ X1 @ ( singleton @ X2 ) ) ) ),
inference(cnf,[status(esa)],[l3_zfmisc_1]) ).
thf(zip_derived_cl973,plain,
! [X0: $i] :
( ~ ( subset @ sk__4 @ X0 )
| ( subset @ sk__4 @ ( set_difference @ X0 @ ( singleton @ sk__5 ) ) ) ),
inference(clc,[status(thm)],[zip_derived_cl700,zip_derived_cl20]) ).
thf(zip_derived_cl1046,plain,
! [X0: $i] :
( ( ( set_difference @ ( set_difference @ X0 @ ( singleton @ sk__5 ) ) @ sk__4 )
!= empty_set )
| ( ( set_difference @ X0 @ ( singleton @ sk__5 ) )
= sk__4 )
| ~ ( subset @ sk__4 @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl1024,zip_derived_cl973]) ).
thf(zip_derived_cl1281,plain,
( ( empty_set != empty_set )
| ~ ( subset @ sk__4 @ sk__4 )
| ( ( set_difference @ sk__4 @ ( singleton @ sk__5 ) )
= sk__4 ) ),
inference('sup-',[status(thm)],[zip_derived_cl359,zip_derived_cl1046]) ).
thf(zip_derived_cl247_006,plain,
! [X0: $i] : ( subset @ X0 @ X0 ),
inference(simplify,[status(thm)],[zip_derived_cl244]) ).
thf(zip_derived_cl1304,plain,
( ( empty_set != empty_set )
| ( ( set_difference @ sk__4 @ ( singleton @ sk__5 ) )
= sk__4 ) ),
inference(demod,[status(thm)],[zip_derived_cl1281,zip_derived_cl247]) ).
thf(zip_derived_cl1305,plain,
( ( set_difference @ sk__4 @ ( singleton @ sk__5 ) )
= sk__4 ),
inference(simplify,[status(thm)],[zip_derived_cl1304]) ).
thf(zip_derived_cl44,plain,
( ( in @ sk__5 @ sk__4 )
| ( ( set_difference @ sk__4 @ ( singleton @ sk__5 ) )
!= sk__4 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1305_007,plain,
( ( set_difference @ sk__4 @ ( singleton @ sk__5 ) )
= sk__4 ),
inference(simplify,[status(thm)],[zip_derived_cl1304]) ).
thf(zip_derived_cl1351,plain,
( ( in @ sk__5 @ sk__4 )
| ( sk__4 != sk__4 ) ),
inference(demod,[status(thm)],[zip_derived_cl44,zip_derived_cl1305]) ).
thf(zip_derived_cl1352,plain,
in @ sk__5 @ sk__4,
inference(simplify,[status(thm)],[zip_derived_cl1351]) ).
thf(zip_derived_cl9_008,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_cl1463,plain,
! [X0: $i,X1: $i] :
( ( sk__4
!= ( set_difference @ X1 @ X0 ) )
| ~ ( in @ sk__5 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl1352,zip_derived_cl9]) ).
thf(zip_derived_cl1569,plain,
( ( sk__4 != sk__4 )
| ~ ( in @ sk__5 @ ( singleton @ sk__5 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl1305,zip_derived_cl1463]) ).
thf(d1_tarski,axiom,
! [A: $i,B: $i] :
( ( B
= ( singleton @ A ) )
<=> ! [C: $i] :
( ( in @ C @ B )
<=> ( C = A ) ) ) ).
thf(zip_derived_cl1,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 != X0 )
| ( in @ X1 @ X2 )
| ( X2
!= ( singleton @ X0 ) ) ),
inference(cnf,[status(esa)],[d1_tarski]) ).
thf(zip_derived_cl47,plain,
! [X0: $i,X1: $i] :
( ( X0
!= ( singleton @ X1 ) )
| ( in @ X1 @ X0 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl61,plain,
! [X0: $i] : ( in @ X0 @ ( singleton @ X0 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl47]) ).
thf(zip_derived_cl1570,plain,
sk__4 != sk__4,
inference(demod,[status(thm)],[zip_derived_cl1569,zip_derived_cl61]) ).
thf(zip_derived_cl1571,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl1570]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.01/0.12 % Problem : SEU162+2 : TPTP v9.2.0. Released v3.3.0.
% 0.12/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.T4nPKFUIWs true
% 0.13/0.34 % Computer : n031.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Wed Oct 1 16:10:38 EDT 2025
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % Running in FO mode
% 0.54/0.64 % Total configuration time : 435
% 0.54/0.64 % Estimated wc time : 1092
% 0.54/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.54/0.72 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.54/0.73 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.54/0.73 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.54/0.75 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.54/0.75 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.55/0.76 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.55/0.79 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 3.14/1.15 % Solved by fo/fo4.sh.
% 3.14/1.15 % done 401 iterations in 0.329s
% 3.14/1.15 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 3.14/1.15 % SZS output start Refutation
% See solution above
% 3.14/1.15
% 3.14/1.15
% 3.14/1.15 % Terminating...
% 3.98/1.26 % Runner terminated.
% 3.98/1.27 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------