%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU268+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.H9iivYslUU true
% Computer : n014.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 04:54:04 PM UTC 2025
% Result : Theorem 0.53s 0.99s
% Output : Refutation 0.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 8
% Syntax : Number of formulae : 44 ( 24 unt; 0 typ; 0 def)
% Number of atoms : 90 ( 22 equ; 0 cnn)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 371 ( 43 ~; 35 |; 2 &; 282 @)
% ( 4 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 14 ( 12 usr; 2 con; 0-2 aty)
% Number of variables : 56 ( 0 ^; 56 !; 0 ?; 56 :)
% Comments :
%------------------------------------------------------------------------------
thf(is_reflexive_in_type,type,
is_reflexive_in: $i > $i > $o ).
thf(sk__13_type,type,
sk__13: $i ).
thf(subset_type,type,
subset: $i > $i > $o ).
thf(unordered_pair_type,type,
unordered_pair: $i > $i > $i ).
thf(singleton_type,type,
singleton: $i > $i ).
thf(reflexive_type,type,
reflexive: $i > $o ).
thf(in_type,type,
in: $i > $i > $o ).
thf(relation_field_type,type,
relation_field: $i > $i ).
thf(ordered_pair_type,type,
ordered_pair: $i > $i > $i ).
thf(sk__type,type,
sk_: $i > $i > $i ).
thf(inclusion_relation_type,type,
inclusion_relation: $i > $i ).
thf(relation_type,type,
relation: $i > $o ).
thf(d1_relat_2,axiom,
! [A: $i] :
( ( relation @ A )
=> ! [B: $i] :
( ( is_reflexive_in @ A @ B )
<=> ! [C: $i] :
( ( in @ C @ B )
=> ( in @ ( ordered_pair @ C @ C ) @ A ) ) ) ) ).
thf(zip_derived_cl14,plain,
! [X0: $i,X1: $i] :
( ~ ( in @ ( ordered_pair @ ( sk_ @ X0 @ X1 ) @ ( sk_ @ X0 @ X1 ) ) @ X1 )
| ( is_reflexive_in @ X1 @ X0 )
| ~ ( relation @ X1 ) ),
inference(cnf,[status(esa)],[d1_relat_2]) ).
thf(d9_relat_2,axiom,
! [A: $i] :
( ( relation @ A )
=> ( ( reflexive @ A )
<=> ( is_reflexive_in @ A @ ( relation_field @ A ) ) ) ) ).
thf(zip_derived_cl25,plain,
! [X0: $i] :
( ~ ( is_reflexive_in @ X0 @ ( relation_field @ X0 ) )
| ( reflexive @ X0 )
| ~ ( relation @ X0 ) ),
inference(cnf,[status(esa)],[d9_relat_2]) ).
thf(t2_wellord2,conjecture,
! [A: $i] : ( reflexive @ ( inclusion_relation @ A ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [A: $i] : ( reflexive @ ( inclusion_relation @ A ) ),
inference('cnf.neg',[status(esa)],[t2_wellord2]) ).
thf(zip_derived_cl83,plain,
~ ( reflexive @ ( inclusion_relation @ sk__13 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl347,plain,
( ~ ( relation @ ( inclusion_relation @ sk__13 ) )
| ~ ( is_reflexive_in @ ( inclusion_relation @ sk__13 ) @ ( relation_field @ ( inclusion_relation @ sk__13 ) ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl25,zip_derived_cl83]) ).
thf(zip_derived_cl351,plain,
( ~ ( relation @ ( inclusion_relation @ sk__13 ) )
| ~ ( in @ ( ordered_pair @ ( sk_ @ ( relation_field @ ( inclusion_relation @ sk__13 ) ) @ ( inclusion_relation @ sk__13 ) ) @ ( sk_ @ ( relation_field @ ( inclusion_relation @ sk__13 ) ) @ ( inclusion_relation @ sk__13 ) ) ) @ ( inclusion_relation @ sk__13 ) )
| ~ ( relation @ ( inclusion_relation @ sk__13 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl14,zip_derived_cl347]) ).
thf(zip_derived_cl491,plain,
( ~ ( in @ ( ordered_pair @ ( sk_ @ ( relation_field @ ( inclusion_relation @ sk__13 ) ) @ ( inclusion_relation @ sk__13 ) ) @ ( sk_ @ ( relation_field @ ( inclusion_relation @ sk__13 ) ) @ ( inclusion_relation @ sk__13 ) ) ) @ ( inclusion_relation @ sk__13 ) )
| ~ ( relation @ ( inclusion_relation @ sk__13 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl351]) ).
thf(d1_wellord2,axiom,
! [A: $i,B: $i] :
( ( relation @ B )
=> ( ( B
= ( inclusion_relation @ A ) )
<=> ( ( ( relation_field @ B )
= A )
& ! [C: $i,D: $i] :
( ( ( in @ C @ A )
& ( in @ D @ A ) )
=> ( ( in @ ( ordered_pair @ C @ D ) @ B )
<=> ( subset @ C @ D ) ) ) ) ) ) ).
thf(zip_derived_cl22,plain,
! [X0: $i,X1: $i] :
( ( X1
!= ( inclusion_relation @ X0 ) )
| ( ( relation_field @ X1 )
= X0 )
| ~ ( relation @ X1 ) ),
inference(cnf,[status(esa)],[d1_wellord2]) ).
thf(zip_derived_cl420,plain,
! [X0: $i] :
( ~ ( relation @ ( inclusion_relation @ X0 ) )
| ( ( relation_field @ ( inclusion_relation @ X0 ) )
= X0 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl22]) ).
thf(dt_k1_wellord2,axiom,
! [A: $i] : ( relation @ ( inclusion_relation @ A ) ) ).
thf(zip_derived_cl29,plain,
! [X0: $i] : ( relation @ ( inclusion_relation @ X0 ) ),
inference(cnf,[status(esa)],[dt_k1_wellord2]) ).
thf(zip_derived_cl421,plain,
! [X0: $i] :
( ( relation_field @ ( inclusion_relation @ X0 ) )
= X0 ),
inference(demod,[status(thm)],[zip_derived_cl420,zip_derived_cl29]) ).
thf(zip_derived_cl421_001,plain,
! [X0: $i] :
( ( relation_field @ ( inclusion_relation @ X0 ) )
= X0 ),
inference(demod,[status(thm)],[zip_derived_cl420,zip_derived_cl29]) ).
thf(d5_tarski,axiom,
! [A: $i,B: $i] :
( ( ordered_pair @ A @ B )
= ( unordered_pair @ ( unordered_pair @ A @ B ) @ ( singleton @ A ) ) ) ).
thf(zip_derived_cl23,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_cl11,plain,
! [X0: $i,X1: $i] :
( ( unordered_pair @ X1 @ X0 )
= ( unordered_pair @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[commutativity_k2_tarski]) ).
thf(zip_derived_cl435,plain,
! [X0: $i,X1: $i] :
( ( ordered_pair @ X0 @ X1 )
= ( unordered_pair @ ( singleton @ X0 ) @ ( unordered_pair @ X0 @ X1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl23,zip_derived_cl11]) ).
thf(zip_derived_cl29_002,plain,
! [X0: $i] : ( relation @ ( inclusion_relation @ X0 ) ),
inference(cnf,[status(esa)],[dt_k1_wellord2]) ).
thf(zip_derived_cl492,plain,
~ ( in @ ( unordered_pair @ ( singleton @ ( sk_ @ sk__13 @ ( inclusion_relation @ sk__13 ) ) ) @ ( unordered_pair @ ( sk_ @ sk__13 @ ( inclusion_relation @ sk__13 ) ) @ ( sk_ @ sk__13 @ ( inclusion_relation @ sk__13 ) ) ) ) @ ( inclusion_relation @ sk__13 ) ),
inference(demod,[status(thm)],[zip_derived_cl491,zip_derived_cl421,zip_derived_cl421,zip_derived_cl435,zip_derived_cl29]) ).
thf(zip_derived_cl13,plain,
! [X0: $i,X1: $i] :
( ( in @ ( sk_ @ X0 @ X1 ) @ X0 )
| ( is_reflexive_in @ X1 @ X0 )
| ~ ( relation @ X1 ) ),
inference(cnf,[status(esa)],[d1_relat_2]) ).
thf(zip_derived_cl347_003,plain,
( ~ ( relation @ ( inclusion_relation @ sk__13 ) )
| ~ ( is_reflexive_in @ ( inclusion_relation @ sk__13 ) @ ( relation_field @ ( inclusion_relation @ sk__13 ) ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl25,zip_derived_cl83]) ).
thf(zip_derived_cl349,plain,
( ~ ( relation @ ( inclusion_relation @ sk__13 ) )
| ( in @ ( sk_ @ ( relation_field @ ( inclusion_relation @ sk__13 ) ) @ ( inclusion_relation @ sk__13 ) ) @ ( relation_field @ ( inclusion_relation @ sk__13 ) ) )
| ~ ( relation @ ( inclusion_relation @ sk__13 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl13,zip_derived_cl347]) ).
thf(zip_derived_cl462,plain,
( ( in @ ( sk_ @ ( relation_field @ ( inclusion_relation @ sk__13 ) ) @ ( inclusion_relation @ sk__13 ) ) @ ( relation_field @ ( inclusion_relation @ sk__13 ) ) )
| ~ ( relation @ ( inclusion_relation @ sk__13 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl349]) ).
thf(zip_derived_cl421_004,plain,
! [X0: $i] :
( ( relation_field @ ( inclusion_relation @ X0 ) )
= X0 ),
inference(demod,[status(thm)],[zip_derived_cl420,zip_derived_cl29]) ).
thf(zip_derived_cl421_005,plain,
! [X0: $i] :
( ( relation_field @ ( inclusion_relation @ X0 ) )
= X0 ),
inference(demod,[status(thm)],[zip_derived_cl420,zip_derived_cl29]) ).
thf(zip_derived_cl29_006,plain,
! [X0: $i] : ( relation @ ( inclusion_relation @ X0 ) ),
inference(cnf,[status(esa)],[dt_k1_wellord2]) ).
thf(zip_derived_cl463,plain,
in @ ( sk_ @ sk__13 @ ( inclusion_relation @ sk__13 ) ) @ sk__13,
inference(demod,[status(thm)],[zip_derived_cl462,zip_derived_cl421,zip_derived_cl421,zip_derived_cl29]) ).
thf(reflexivity_r1_tarski,axiom,
! [A: $i,B: $i] : ( subset @ A @ A ) ).
thf(zip_derived_cl79,plain,
! [X0: $i] : ( subset @ X0 @ X0 ),
inference(cnf,[status(esa)],[reflexivity_r1_tarski]) ).
thf(zip_derived_cl21,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1
!= ( inclusion_relation @ X0 ) )
| ~ ( in @ X2 @ X0 )
| ~ ( in @ X3 @ X0 )
| ( in @ ( ordered_pair @ X2 @ X3 ) @ X1 )
| ~ ( subset @ X2 @ X3 )
| ~ ( relation @ X1 ) ),
inference(cnf,[status(esa)],[d1_wellord2]) ).
thf(zip_derived_cl369,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( relation @ X1 )
| ( in @ ( ordered_pair @ X0 @ X0 ) @ X1 )
| ~ ( in @ X0 @ X2 )
| ~ ( in @ X0 @ X2 )
| ( X1
!= ( inclusion_relation @ X2 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl79,zip_derived_cl21]) ).
thf(zip_derived_cl449,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1
!= ( inclusion_relation @ X2 ) )
| ~ ( in @ X0 @ X2 )
| ( in @ ( ordered_pair @ X0 @ X0 ) @ X1 )
| ~ ( relation @ X1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl369]) ).
thf(zip_derived_cl435_007,plain,
! [X0: $i,X1: $i] :
( ( ordered_pair @ X0 @ X1 )
= ( unordered_pair @ ( singleton @ X0 ) @ ( unordered_pair @ X0 @ X1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl23,zip_derived_cl11]) ).
thf(zip_derived_cl450,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1
!= ( inclusion_relation @ X2 ) )
| ~ ( in @ X0 @ X2 )
| ( in @ ( unordered_pair @ ( singleton @ X0 ) @ ( unordered_pair @ X0 @ X0 ) ) @ X1 )
| ~ ( relation @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl449,zip_derived_cl435]) ).
thf(zip_derived_cl466,plain,
! [X0: $i] :
( ~ ( relation @ X0 )
| ( in @ ( unordered_pair @ ( singleton @ ( sk_ @ sk__13 @ ( inclusion_relation @ sk__13 ) ) ) @ ( unordered_pair @ ( sk_ @ sk__13 @ ( inclusion_relation @ sk__13 ) ) @ ( sk_ @ sk__13 @ ( inclusion_relation @ sk__13 ) ) ) ) @ X0 )
| ( X0
!= ( inclusion_relation @ sk__13 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl463,zip_derived_cl450]) ).
thf(zip_derived_cl514,plain,
( ( ( inclusion_relation @ sk__13 )
!= ( inclusion_relation @ sk__13 ) )
| ~ ( relation @ ( inclusion_relation @ sk__13 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl492,zip_derived_cl466]) ).
thf(zip_derived_cl29_008,plain,
! [X0: $i] : ( relation @ ( inclusion_relation @ X0 ) ),
inference(cnf,[status(esa)],[dt_k1_wellord2]) ).
thf(zip_derived_cl518,plain,
( ( inclusion_relation @ sk__13 )
!= ( inclusion_relation @ sk__13 ) ),
inference(demod,[status(thm)],[zip_derived_cl514,zip_derived_cl29]) ).
thf(zip_derived_cl519,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl518]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.13 % Problem : SEU268+1 : TPTP v9.2.0. Released v3.3.0.
% 0.10/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.H9iivYslUU true
% 0.11/0.34 % Computer : n014.cluster.edu
% 0.11/0.34 % Model : x86_64 x86_64
% 0.11/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.34 % Memory : 8042.1875MB
% 0.11/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.34 % CPULimit : 300
% 0.11/0.34 % WCLimit : 300
% 0.11/0.34 % DateTime : Wed Oct 1 16:01:23 EDT 2025
% 0.11/0.35 % CPUTime :
% 0.11/0.35 % Running portfolio for 300 s
% 0.11/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.35 % Number of cores: 8
% 0.11/0.35 % Python version: Python 3.6.8
% 0.11/0.35 % Running in FO mode
% 0.48/0.69 % Total configuration time : 435
% 0.48/0.69 % Estimated wc time : 1092
% 0.48/0.69 % Estimated cpu time (7 cpus) : 156.0
% 0.50/0.83 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.50/0.83 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.50/0.85 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.52/0.85 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.52/0.87 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.52/0.90 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.53/0.94 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.53/0.99 % Solved by fo/fo3_bce.sh.
% 0.53/0.99 % BCE start: 91
% 0.53/0.99 % BCE eliminated: 6
% 0.53/0.99 % PE start: 85
% 0.53/0.99 logic: eq
% 0.53/0.99 % PE eliminated: 16
% 0.53/0.99 % done 99 iterations in 0.100s
% 0.53/0.99 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.53/0.99 % SZS output start Refutation
% See solution above
% 0.53/0.99
% 0.53/0.99
% 0.53/0.99 % Terminating...
% 2.08/1.18 % Runner terminated.
% 2.10/1.22 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------