%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET580+3 : TPTP v9.2.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.yk9JSCwwh9 true
% Computer : n018.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 04:52:16 PM UTC 2025
% Result : Theorem 0.59s 0.84s
% Output : Refutation 0.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 4
% Syntax : Number of formulae : 48 ( 15 unt; 0 typ; 0 def)
% Number of atoms : 102 ( 5 equ; 0 cnn)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 442 ( 50 ~; 47 |; 1 &; 338 @)
% ( 6 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 9 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 52 ( 0 ^; 52 !; 0 ?; 52 :)
% Comments :
%------------------------------------------------------------------------------
thf(union_type,type,
union: $i > $i > $i ).
thf(difference_type,type,
difference: $i > $i > $i ).
thf(sk__1_type,type,
sk__1: $i ).
thf(member_type,type,
member: $i > $i > $o ).
thf(sk__2_type,type,
sk__2: $i ).
thf(sk__3_type,type,
sk__3: $i ).
thf(symmetric_difference_type,type,
symmetric_difference: $i > $i > $i ).
thf(prove_th23,conjecture,
! [B: $i,C: $i,D: $i] :
( ( member @ B @ ( symmetric_difference @ C @ D ) )
<=> ~ ( ( member @ B @ C )
<=> ( member @ B @ D ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [B: $i,C: $i,D: $i] :
( ( member @ B @ ( symmetric_difference @ C @ D ) )
<=> ~ ( ( member @ B @ C )
<=> ( member @ B @ D ) ) ),
inference('cnf.neg',[status(esa)],[prove_th23]) ).
thf(zip_derived_cl15,plain,
( ~ ( member @ sk__1 @ sk__3 )
| ( member @ sk__1 @ sk__2 )
| ~ ( member @ sk__1 @ ( symmetric_difference @ sk__2 @ sk__3 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(symmetric_difference_defn,axiom,
! [B: $i,C: $i] :
( ( symmetric_difference @ B @ C )
= ( union @ ( difference @ B @ C ) @ ( difference @ C @ B ) ) ) ).
thf(zip_derived_cl6,plain,
! [X0: $i,X1: $i] :
( ( symmetric_difference @ X0 @ X1 )
= ( union @ ( difference @ X0 @ X1 ) @ ( difference @ X1 @ X0 ) ) ),
inference(cnf,[status(esa)],[symmetric_difference_defn]) ).
thf(zip_derived_cl102,plain,
( ~ ( member @ sk__1 @ sk__3 )
| ( member @ sk__1 @ sk__2 )
| ~ ( member @ sk__1 @ ( union @ ( difference @ sk__2 @ sk__3 ) @ ( difference @ sk__3 @ sk__2 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl15,zip_derived_cl6]) ).
thf(union_defn,axiom,
! [B: $i,C: $i,D: $i] :
( ( member @ D @ ( union @ B @ C ) )
<=> ( ( member @ D @ B )
| ( member @ D @ C ) ) ) ).
thf(zip_derived_cl2,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( member @ X0 @ ( union @ X1 @ X2 ) )
| ~ ( member @ X0 @ X2 ) ),
inference(cnf,[status(esa)],[union_defn]) ).
thf(zip_derived_cl104,plain,
( ( member @ sk__1 @ sk__2 )
| ~ ( member @ sk__1 @ sk__3 )
| ~ ( member @ sk__1 @ ( difference @ sk__3 @ sk__2 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl102,zip_derived_cl2]) ).
thf(difference_defn,axiom,
! [B: $i,C: $i,D: $i] :
( ( member @ D @ ( difference @ B @ C ) )
<=> ( ( member @ D @ B )
& ~ ( member @ D @ C ) ) ) ).
thf(zip_derived_cl4,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( member @ X0 @ X1 )
| ~ ( member @ X0 @ ( difference @ X2 @ X1 ) ) ),
inference(cnf,[status(esa)],[difference_defn]) ).
thf(zip_derived_cl126,plain,
( ~ ( member @ sk__1 @ ( difference @ sk__3 @ sk__2 ) )
| ~ ( member @ sk__1 @ sk__3 ) ),
inference(clc,[status(thm)],[zip_derived_cl104,zip_derived_cl4]) ).
thf(zip_derived_cl3,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( member @ X0 @ X1 )
| ~ ( member @ X0 @ ( difference @ X1 @ X2 ) ) ),
inference(cnf,[status(esa)],[difference_defn]) ).
thf(zip_derived_cl127,plain,
~ ( member @ sk__1 @ ( difference @ sk__3 @ sk__2 ) ),
inference(clc,[status(thm)],[zip_derived_cl126,zip_derived_cl3]) ).
thf(zip_derived_cl0,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( member @ X0 @ X1 )
| ( member @ X0 @ X2 )
| ~ ( member @ X0 @ ( union @ X2 @ X1 ) ) ),
inference(cnf,[status(esa)],[union_defn]) ).
thf(zip_derived_cl14,plain,
( ( member @ sk__1 @ sk__2 )
| ( member @ sk__1 @ sk__3 )
| ( member @ sk__1 @ ( symmetric_difference @ sk__2 @ sk__3 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl6_001,plain,
! [X0: $i,X1: $i] :
( ( symmetric_difference @ X0 @ X1 )
= ( union @ ( difference @ X0 @ X1 ) @ ( difference @ X1 @ X0 ) ) ),
inference(cnf,[status(esa)],[symmetric_difference_defn]) ).
thf(zip_derived_cl130,plain,
( ( member @ sk__1 @ sk__2 )
| ( member @ sk__1 @ sk__3 )
| ( member @ sk__1 @ ( union @ ( difference @ sk__2 @ sk__3 ) @ ( difference @ sk__3 @ sk__2 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl14,zip_derived_cl6]) ).
thf(zip_derived_cl127_002,plain,
~ ( member @ sk__1 @ ( difference @ sk__3 @ sk__2 ) ),
inference(clc,[status(thm)],[zip_derived_cl126,zip_derived_cl3]) ).
thf(zip_derived_cl5,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( member @ X0 @ ( difference @ X1 @ X2 ) )
| ( member @ X0 @ X2 )
| ~ ( member @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[difference_defn]) ).
thf(zip_derived_cl128,plain,
( ~ ( member @ sk__1 @ sk__3 )
| ( member @ sk__1 @ sk__2 ) ),
inference('sup+',[status(thm)],[zip_derived_cl127,zip_derived_cl5]) ).
thf(zip_derived_cl131,plain,
( ( member @ sk__1 @ ( union @ ( difference @ sk__2 @ sk__3 ) @ ( difference @ sk__3 @ sk__2 ) ) )
| ( member @ sk__1 @ sk__2 ) ),
inference(clc,[status(thm)],[zip_derived_cl130,zip_derived_cl128]) ).
thf(zip_derived_cl13,plain,
( ~ ( member @ sk__1 @ sk__2 )
| ~ ( member @ sk__1 @ sk__3 )
| ( member @ sk__1 @ ( symmetric_difference @ sk__2 @ sk__3 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl6_003,plain,
! [X0: $i,X1: $i] :
( ( symmetric_difference @ X0 @ X1 )
= ( union @ ( difference @ X0 @ X1 ) @ ( difference @ X1 @ X0 ) ) ),
inference(cnf,[status(esa)],[symmetric_difference_defn]) ).
thf(zip_derived_cl99,plain,
( ~ ( member @ sk__1 @ sk__2 )
| ~ ( member @ sk__1 @ sk__3 )
| ( member @ sk__1 @ ( union @ ( difference @ sk__2 @ sk__3 ) @ ( difference @ sk__3 @ sk__2 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13,zip_derived_cl6]) ).
thf(zip_derived_cl0_004,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( member @ X0 @ X1 )
| ( member @ X0 @ X2 )
| ~ ( member @ X0 @ ( union @ X2 @ X1 ) ) ),
inference(cnf,[status(esa)],[union_defn]) ).
thf(zip_derived_cl100,plain,
( ~ ( member @ sk__1 @ sk__3 )
| ~ ( member @ sk__1 @ sk__2 )
| ( member @ sk__1 @ ( difference @ sk__2 @ sk__3 ) )
| ( member @ sk__1 @ ( difference @ sk__3 @ sk__2 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl99,zip_derived_cl0]) ).
thf(zip_derived_cl16,plain,
( ~ ( member @ sk__1 @ sk__2 )
| ( member @ sk__1 @ sk__3 )
| ~ ( member @ sk__1 @ ( symmetric_difference @ sk__2 @ sk__3 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl6_005,plain,
! [X0: $i,X1: $i] :
( ( symmetric_difference @ X0 @ X1 )
= ( union @ ( difference @ X0 @ X1 ) @ ( difference @ X1 @ X0 ) ) ),
inference(cnf,[status(esa)],[symmetric_difference_defn]) ).
thf(zip_derived_cl111,plain,
( ~ ( member @ sk__1 @ sk__2 )
| ( member @ sk__1 @ sk__3 )
| ~ ( member @ sk__1 @ ( union @ ( difference @ sk__2 @ sk__3 ) @ ( difference @ sk__3 @ sk__2 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl16,zip_derived_cl6]) ).
thf(zip_derived_cl1,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( member @ X0 @ ( union @ X1 @ X2 ) )
| ~ ( member @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[union_defn]) ).
thf(zip_derived_cl112,plain,
( ( member @ sk__1 @ sk__3 )
| ~ ( member @ sk__1 @ sk__2 )
| ~ ( member @ sk__1 @ ( difference @ sk__2 @ sk__3 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl111,zip_derived_cl1]) ).
thf(zip_derived_cl4_006,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( member @ X0 @ X1 )
| ~ ( member @ X0 @ ( difference @ X2 @ X1 ) ) ),
inference(cnf,[status(esa)],[difference_defn]) ).
thf(zip_derived_cl136,plain,
( ~ ( member @ sk__1 @ ( difference @ sk__2 @ sk__3 ) )
| ~ ( member @ sk__1 @ sk__2 ) ),
inference(clc,[status(thm)],[zip_derived_cl112,zip_derived_cl4]) ).
thf(zip_derived_cl3_007,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( member @ X0 @ X1 )
| ~ ( member @ X0 @ ( difference @ X1 @ X2 ) ) ),
inference(cnf,[status(esa)],[difference_defn]) ).
thf(zip_derived_cl137,plain,
~ ( member @ sk__1 @ ( difference @ sk__2 @ sk__3 ) ),
inference(clc,[status(thm)],[zip_derived_cl136,zip_derived_cl3]) ).
thf(zip_derived_cl160,plain,
( ~ ( member @ sk__1 @ sk__3 )
| ~ ( member @ sk__1 @ sk__2 )
| ( member @ sk__1 @ ( difference @ sk__3 @ sk__2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl100,zip_derived_cl137]) ).
thf(zip_derived_cl137_008,plain,
~ ( member @ sk__1 @ ( difference @ sk__2 @ sk__3 ) ),
inference(clc,[status(thm)],[zip_derived_cl136,zip_derived_cl3]) ).
thf(zip_derived_cl5_009,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( member @ X0 @ ( difference @ X1 @ X2 ) )
| ( member @ X0 @ X2 )
| ~ ( member @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[difference_defn]) ).
thf(zip_derived_cl138,plain,
( ~ ( member @ sk__1 @ sk__2 )
| ( member @ sk__1 @ sk__3 ) ),
inference('sup+',[status(thm)],[zip_derived_cl137,zip_derived_cl5]) ).
thf(zip_derived_cl161,plain,
( ( member @ sk__1 @ ( difference @ sk__3 @ sk__2 ) )
| ~ ( member @ sk__1 @ sk__2 ) ),
inference(clc,[status(thm)],[zip_derived_cl160,zip_derived_cl138]) ).
thf(zip_derived_cl127_010,plain,
~ ( member @ sk__1 @ ( difference @ sk__3 @ sk__2 ) ),
inference(clc,[status(thm)],[zip_derived_cl126,zip_derived_cl3]) ).
thf(zip_derived_cl162,plain,
~ ( member @ sk__1 @ sk__2 ),
inference(clc,[status(thm)],[zip_derived_cl161,zip_derived_cl127]) ).
thf(zip_derived_cl164,plain,
member @ sk__1 @ ( union @ ( difference @ sk__2 @ sk__3 ) @ ( difference @ sk__3 @ sk__2 ) ),
inference(demod,[status(thm)],[zip_derived_cl131,zip_derived_cl162]) ).
thf(zip_derived_cl166,plain,
( ( member @ sk__1 @ ( difference @ sk__2 @ sk__3 ) )
| ( member @ sk__1 @ ( difference @ sk__3 @ sk__2 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl0,zip_derived_cl164]) ).
thf(zip_derived_cl137_011,plain,
~ ( member @ sk__1 @ ( difference @ sk__2 @ sk__3 ) ),
inference(clc,[status(thm)],[zip_derived_cl136,zip_derived_cl3]) ).
thf(zip_derived_cl167,plain,
member @ sk__1 @ ( difference @ sk__3 @ sk__2 ),
inference(demod,[status(thm)],[zip_derived_cl166,zip_derived_cl137]) ).
thf(zip_derived_cl169,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl127,zip_derived_cl167]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SET580+3 : TPTP v9.2.0. Released v2.2.0.
% 0.13/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.yk9JSCwwh9 true
% 0.14/0.35 % Computer : n018.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 13:19:38 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
% 0.20/0.35 % Python version: Python 3.6.8
% 0.20/0.35 % Running in FO mode
% 0.58/0.66 % Total configuration time : 435
% 0.58/0.66 % Estimated wc time : 1092
% 0.58/0.66 % Estimated cpu time (7 cpus) : 156.0
% 0.59/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.59/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.59/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.59/0.80 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.59/0.80 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.59/0.81 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.59/0.84 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.59/0.84 % Solved by fo/fo3_bce.sh.
% 0.59/0.84 % BCE start: 17
% 0.59/0.84 % BCE eliminated: 0
% 0.59/0.84 % PE start: 17
% 0.59/0.84 logic: eq
% 0.59/0.84 % PE eliminated: 0
% 0.59/0.84 % done 32 iterations in 0.043s
% 0.59/0.84 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.59/0.84 % SZS output start Refutation
% See solution above
% 0.59/0.84
% 0.59/0.84
% 0.59/0.84 % Terminating...
% 1.71/0.90 % Runner terminated.
% 1.71/0.90 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------