%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU255+1 : TPTP v9.2.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.hbXO8bvUfp true
% Computer : n022.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 04:54:01 PM UTC 2025
% Result : Theorem 0.53s 0.83s
% Output : Refutation 0.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 6
% Syntax : Number of formulae : 47 ( 21 unt; 0 typ; 0 def)
% Number of atoms : 95 ( 18 equ; 0 cnn)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 500 ( 42 ~; 36 |; 2 &; 410 @)
% ( 2 <=>; 8 =>; 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 : 14 ( 12 usr; 3 con; 0-2 aty)
% Number of variables : 50 ( 0 ^; 50 !; 0 ?; 50 :)
% Comments :
%------------------------------------------------------------------------------
thf(cartesian_product2_type,type,
cartesian_product2: $i > $i > $i ).
thf(relation_restriction_type,type,
relation_restriction: $i > $i > $i ).
thf(sk__1_type,type,
sk__1: $i > $i ).
thf(sk__2_type,type,
sk__2: $i > $i ).
thf(ordered_pair_type,type,
ordered_pair: $i > $i > $i ).
thf(sk__9_type,type,
sk__9: $i ).
thf(in_type,type,
in: $i > $i > $o ).
thf(antisymmetric_type,type,
antisymmetric: $i > $o ).
thf(singleton_type,type,
singleton: $i > $i ).
thf(relation_type,type,
relation: $i > $o ).
thf(sk__8_type,type,
sk__8: $i ).
thf(unordered_pair_type,type,
unordered_pair: $i > $i > $i ).
thf(dt_k2_wellord1,axiom,
! [A: $i,B: $i] :
( ( relation @ A )
=> ( relation @ ( relation_restriction @ A @ B ) ) ) ).
thf(zip_derived_cl12,plain,
! [X0: $i,X1: $i] :
( ~ ( relation @ X0 )
| ( relation @ ( relation_restriction @ X0 @ X1 ) ) ),
inference(cnf,[status(esa)],[dt_k2_wellord1]) ).
thf(t16_wellord1,axiom,
! [A: $i,B: $i,C: $i] :
( ( relation @ C )
=> ( ( in @ A @ ( relation_restriction @ C @ B ) )
<=> ( ( in @ A @ C )
& ( in @ A @ ( cartesian_product2 @ B @ B ) ) ) ) ) ).
thf(zip_derived_cl37,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( in @ X0 @ ( relation_restriction @ X1 @ X2 ) )
| ( in @ X0 @ X1 )
| ~ ( relation @ X1 ) ),
inference(cnf,[status(esa)],[t16_wellord1]) ).
thf(l3_wellord1,axiom,
! [A: $i] :
( ( relation @ A )
=> ( ( antisymmetric @ A )
<=> ! [B: $i,C: $i] :
( ( ( in @ ( ordered_pair @ B @ C ) @ A )
& ( in @ ( ordered_pair @ C @ B ) @ A ) )
=> ( B = C ) ) ) ) ).
thf(zip_derived_cl22,plain,
! [X0: $i] :
( ( in @ ( ordered_pair @ ( sk__2 @ X0 ) @ ( sk__1 @ X0 ) ) @ X0 )
| ( antisymmetric @ X0 )
| ~ ( relation @ X0 ) ),
inference(cnf,[status(esa)],[l3_wellord1]) ).
thf(t25_wellord1,conjecture,
! [A: $i,B: $i] :
( ( relation @ B )
=> ( ( antisymmetric @ B )
=> ( antisymmetric @ ( relation_restriction @ B @ A ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [A: $i,B: $i] :
( ( relation @ B )
=> ( ( antisymmetric @ B )
=> ( antisymmetric @ ( relation_restriction @ B @ A ) ) ) ),
inference('cnf.neg',[status(esa)],[t25_wellord1]) ).
thf(zip_derived_cl40,plain,
~ ( antisymmetric @ ( relation_restriction @ sk__9 @ sk__8 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl180,plain,
( ~ ( relation @ ( relation_restriction @ sk__9 @ sk__8 ) )
| ( in @ ( ordered_pair @ ( sk__2 @ ( relation_restriction @ sk__9 @ sk__8 ) ) @ ( sk__1 @ ( relation_restriction @ sk__9 @ sk__8 ) ) ) @ ( relation_restriction @ sk__9 @ sk__8 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl22,zip_derived_cl40]) ).
thf(d5_tarski,axiom,
! [A: $i,B: $i] :
( ( ordered_pair @ A @ B )
= ( unordered_pair @ ( unordered_pair @ A @ B ) @ ( singleton @ A ) ) ) ).
thf(zip_derived_cl7,plain,
! [X0: $i,X1: $i] :
( ( ordered_pair @ X0 @ X1 )
= ( unordered_pair @ ( unordered_pair @ X0 @ X1 ) @ ( singleton @ X0 ) ) ),
inference(cnf,[status(esa)],[d5_tarski]) ).
thf(commutativity_k2_tarski,axiom,
! [A: $i,B: $i] :
( ( unordered_pair @ A @ B )
= ( unordered_pair @ B @ A ) ) ).
thf(zip_derived_cl5,plain,
! [X0: $i,X1: $i] :
( ( unordered_pair @ X1 @ X0 )
= ( unordered_pair @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[commutativity_k2_tarski]) ).
thf(zip_derived_cl226,plain,
! [X0: $i,X1: $i] :
( ( ordered_pair @ X0 @ X1 )
= ( unordered_pair @ ( singleton @ X0 ) @ ( unordered_pair @ X0 @ X1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl7,zip_derived_cl5]) ).
thf(zip_derived_cl5_001,plain,
! [X0: $i,X1: $i] :
( ( unordered_pair @ X1 @ X0 )
= ( unordered_pair @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[commutativity_k2_tarski]) ).
thf(zip_derived_cl275,plain,
( ~ ( relation @ ( relation_restriction @ sk__9 @ sk__8 ) )
| ( in @ ( unordered_pair @ ( singleton @ ( sk__2 @ ( relation_restriction @ sk__9 @ sk__8 ) ) ) @ ( unordered_pair @ ( sk__1 @ ( relation_restriction @ sk__9 @ sk__8 ) ) @ ( sk__2 @ ( relation_restriction @ sk__9 @ sk__8 ) ) ) ) @ ( relation_restriction @ sk__9 @ sk__8 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl180,zip_derived_cl226,zip_derived_cl5]) ).
thf(zip_derived_cl281,plain,
( ~ ( relation @ sk__9 )
| ( in @ ( unordered_pair @ ( singleton @ ( sk__2 @ ( relation_restriction @ sk__9 @ sk__8 ) ) ) @ ( unordered_pair @ ( sk__1 @ ( relation_restriction @ sk__9 @ sk__8 ) ) @ ( sk__2 @ ( relation_restriction @ sk__9 @ sk__8 ) ) ) ) @ sk__9 )
| ~ ( relation @ ( relation_restriction @ sk__9 @ sk__8 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl37,zip_derived_cl275]) ).
thf(zip_derived_cl39,plain,
relation @ sk__9,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl283,plain,
( ( in @ ( unordered_pair @ ( singleton @ ( sk__2 @ ( relation_restriction @ sk__9 @ sk__8 ) ) ) @ ( unordered_pair @ ( sk__1 @ ( relation_restriction @ sk__9 @ sk__8 ) ) @ ( sk__2 @ ( relation_restriction @ sk__9 @ sk__8 ) ) ) ) @ sk__9 )
| ~ ( relation @ ( relation_restriction @ sk__9 @ sk__8 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl281,zip_derived_cl39]) ).
thf(zip_derived_cl37_002,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( in @ X0 @ ( relation_restriction @ X1 @ X2 ) )
| ( in @ X0 @ X1 )
| ~ ( relation @ X1 ) ),
inference(cnf,[status(esa)],[t16_wellord1]) ).
thf(zip_derived_cl21,plain,
! [X0: $i] :
( ( in @ ( ordered_pair @ ( sk__1 @ X0 ) @ ( sk__2 @ X0 ) ) @ X0 )
| ( antisymmetric @ X0 )
| ~ ( relation @ X0 ) ),
inference(cnf,[status(esa)],[l3_wellord1]) ).
thf(zip_derived_cl40_003,plain,
~ ( antisymmetric @ ( relation_restriction @ sk__9 @ sk__8 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl178,plain,
( ~ ( relation @ ( relation_restriction @ sk__9 @ sk__8 ) )
| ( in @ ( ordered_pair @ ( sk__1 @ ( relation_restriction @ sk__9 @ sk__8 ) ) @ ( sk__2 @ ( relation_restriction @ sk__9 @ sk__8 ) ) ) @ ( relation_restriction @ sk__9 @ sk__8 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl21,zip_derived_cl40]) ).
thf(zip_derived_cl226_004,plain,
! [X0: $i,X1: $i] :
( ( ordered_pair @ X0 @ X1 )
= ( unordered_pair @ ( singleton @ X0 ) @ ( unordered_pair @ X0 @ X1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl7,zip_derived_cl5]) ).
thf(zip_derived_cl240,plain,
( ~ ( relation @ ( relation_restriction @ sk__9 @ sk__8 ) )
| ( in @ ( unordered_pair @ ( singleton @ ( sk__1 @ ( relation_restriction @ sk__9 @ sk__8 ) ) ) @ ( unordered_pair @ ( sk__1 @ ( relation_restriction @ sk__9 @ sk__8 ) ) @ ( sk__2 @ ( relation_restriction @ sk__9 @ sk__8 ) ) ) ) @ ( relation_restriction @ sk__9 @ sk__8 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl178,zip_derived_cl226]) ).
thf(zip_derived_cl246,plain,
( ~ ( relation @ sk__9 )
| ( in @ ( unordered_pair @ ( singleton @ ( sk__1 @ ( relation_restriction @ sk__9 @ sk__8 ) ) ) @ ( unordered_pair @ ( sk__1 @ ( relation_restriction @ sk__9 @ sk__8 ) ) @ ( sk__2 @ ( relation_restriction @ sk__9 @ sk__8 ) ) ) ) @ sk__9 )
| ~ ( relation @ ( relation_restriction @ sk__9 @ sk__8 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl37,zip_derived_cl240]) ).
thf(zip_derived_cl39_005,plain,
relation @ sk__9,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl247,plain,
( ( in @ ( unordered_pair @ ( singleton @ ( sk__1 @ ( relation_restriction @ sk__9 @ sk__8 ) ) ) @ ( unordered_pair @ ( sk__1 @ ( relation_restriction @ sk__9 @ sk__8 ) ) @ ( sk__2 @ ( relation_restriction @ sk__9 @ sk__8 ) ) ) ) @ sk__9 )
| ~ ( relation @ ( relation_restriction @ sk__9 @ sk__8 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl246,zip_derived_cl39]) ).
thf(zip_derived_cl41,plain,
antisymmetric @ sk__9,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl24,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( antisymmetric @ X0 )
| ( X2 = X1 )
| ~ ( in @ ( ordered_pair @ X1 @ X2 ) @ X0 )
| ~ ( in @ ( ordered_pair @ X2 @ X1 ) @ X0 )
| ~ ( relation @ X0 ) ),
inference(cnf,[status(esa)],[l3_wellord1]) ).
thf(zip_derived_cl183,plain,
! [X0: $i,X1: $i] :
( ~ ( relation @ sk__9 )
| ~ ( in @ ( ordered_pair @ X0 @ X1 ) @ sk__9 )
| ~ ( in @ ( ordered_pair @ X1 @ X0 ) @ sk__9 )
| ( X0 = X1 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl41,zip_derived_cl24]) ).
thf(zip_derived_cl39_006,plain,
relation @ sk__9,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl226_007,plain,
! [X0: $i,X1: $i] :
( ( ordered_pair @ X0 @ X1 )
= ( unordered_pair @ ( singleton @ X0 ) @ ( unordered_pair @ X0 @ X1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl7,zip_derived_cl5]) ).
thf(zip_derived_cl226_008,plain,
! [X0: $i,X1: $i] :
( ( ordered_pair @ X0 @ X1 )
= ( unordered_pair @ ( singleton @ X0 ) @ ( unordered_pair @ X0 @ X1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl7,zip_derived_cl5]) ).
thf(zip_derived_cl235,plain,
! [X0: $i,X1: $i] :
( ~ ( in @ ( unordered_pair @ ( singleton @ X0 ) @ ( unordered_pair @ X0 @ X1 ) ) @ sk__9 )
| ~ ( in @ ( unordered_pair @ ( singleton @ X1 ) @ ( unordered_pair @ X1 @ X0 ) ) @ sk__9 )
| ( X0 = X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl183,zip_derived_cl39,zip_derived_cl226,zip_derived_cl226]) ).
thf(zip_derived_cl315,plain,
( ~ ( relation @ ( relation_restriction @ sk__9 @ sk__8 ) )
| ( ( sk__1 @ ( relation_restriction @ sk__9 @ sk__8 ) )
= ( sk__2 @ ( relation_restriction @ sk__9 @ sk__8 ) ) )
| ~ ( in @ ( unordered_pair @ ( singleton @ ( sk__2 @ ( relation_restriction @ sk__9 @ sk__8 ) ) ) @ ( unordered_pair @ ( sk__2 @ ( relation_restriction @ sk__9 @ sk__8 ) ) @ ( sk__1 @ ( relation_restriction @ sk__9 @ sk__8 ) ) ) ) @ sk__9 ) ),
inference('sup-',[status(thm)],[zip_derived_cl247,zip_derived_cl235]) ).
thf(zip_derived_cl5_009,plain,
! [X0: $i,X1: $i] :
( ( unordered_pair @ X1 @ X0 )
= ( unordered_pair @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[commutativity_k2_tarski]) ).
thf(zip_derived_cl320,plain,
( ~ ( relation @ ( relation_restriction @ sk__9 @ sk__8 ) )
| ( ( sk__1 @ ( relation_restriction @ sk__9 @ sk__8 ) )
= ( sk__2 @ ( relation_restriction @ sk__9 @ sk__8 ) ) )
| ~ ( in @ ( unordered_pair @ ( singleton @ ( sk__2 @ ( relation_restriction @ sk__9 @ sk__8 ) ) ) @ ( unordered_pair @ ( sk__1 @ ( relation_restriction @ sk__9 @ sk__8 ) ) @ ( sk__2 @ ( relation_restriction @ sk__9 @ sk__8 ) ) ) ) @ sk__9 ) ),
inference(demod,[status(thm)],[zip_derived_cl315,zip_derived_cl5]) ).
thf(zip_derived_cl23,plain,
! [X0: $i] :
( ( ( sk__1 @ X0 )
!= ( sk__2 @ X0 ) )
| ( antisymmetric @ X0 )
| ~ ( relation @ X0 ) ),
inference(cnf,[status(esa)],[l3_wellord1]) ).
thf(zip_derived_cl40_010,plain,
~ ( antisymmetric @ ( relation_restriction @ sk__9 @ sk__8 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl182,plain,
( ~ ( relation @ ( relation_restriction @ sk__9 @ sk__8 ) )
| ( ( sk__1 @ ( relation_restriction @ sk__9 @ sk__8 ) )
!= ( sk__2 @ ( relation_restriction @ sk__9 @ sk__8 ) ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl23,zip_derived_cl40]) ).
thf(zip_derived_cl339,plain,
( ~ ( in @ ( unordered_pair @ ( singleton @ ( sk__2 @ ( relation_restriction @ sk__9 @ sk__8 ) ) ) @ ( unordered_pair @ ( sk__1 @ ( relation_restriction @ sk__9 @ sk__8 ) ) @ ( sk__2 @ ( relation_restriction @ sk__9 @ sk__8 ) ) ) ) @ sk__9 )
| ~ ( relation @ ( relation_restriction @ sk__9 @ sk__8 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl320,zip_derived_cl182]) ).
thf(zip_derived_cl342,plain,
~ ( relation @ ( relation_restriction @ sk__9 @ sk__8 ) ),
inference(clc,[status(thm)],[zip_derived_cl283,zip_derived_cl339]) ).
thf(zip_derived_cl344,plain,
~ ( relation @ sk__9 ),
inference('sup-',[status(thm)],[zip_derived_cl12,zip_derived_cl342]) ).
thf(zip_derived_cl39_011,plain,
relation @ sk__9,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl345,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl344,zip_derived_cl39]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SEU255+1 : TPTP v9.2.0. Released v3.3.0.
% 0.10/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.hbXO8bvUfp true
% 0.11/0.33 % Computer : n022.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Wed Oct 1 16:14:38 EDT 2025
% 0.11/0.33 % CPUTime :
% 0.11/0.33 % Running portfolio for 300 s
% 0.11/0.33 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.34 % Number of cores: 8
% 0.11/0.34 % Python version: Python 3.6.8
% 0.11/0.34 % Running in FO mode
% 0.50/0.65 % Total configuration time : 435
% 0.50/0.65 % Estimated wc time : 1092
% 0.50/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.50/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.50/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.50/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.50/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.50/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.50/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.50/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.53/0.83 % Solved by fo/fo3_bce.sh.
% 0.53/0.83 % BCE start: 47
% 0.53/0.83 % BCE eliminated: 2
% 0.53/0.83 % PE start: 45
% 0.53/0.83 logic: eq
% 0.53/0.83 % PE eliminated: 0
% 0.53/0.83 % done 88 iterations in 0.079s
% 0.53/0.83 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.53/0.83 % SZS output start Refutation
% See solution above
% 0.53/0.83
% 0.53/0.83
% 0.53/0.83 % Terminating...
% 0.58/0.97 % Runner terminated.
% 0.58/0.98 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------