%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET751+4 : TPTP v9.2.0. Bugfixed v2.2.1.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.SK7eIXymCv true
% Computer : n012.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 04:52:47 PM UTC 2025
% Result : Theorem 10.31s 3.04s
% Output : Refutation 10.31s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 3
% Syntax : Number of formulae : 21 ( 4 unt; 0 typ; 0 def)
% Number of atoms : 54 ( 0 equ; 0 cnn)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 243 ( 19 ~; 21 |; 7 &; 191 @)
% ( 2 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 9 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 11 ( 10 usr; 4 con; 0-3 aty)
% Number of variables : 58 ( 0 ^; 57 !; 1 ?; 58 :)
% Comments :
%------------------------------------------------------------------------------
thf(member_type,type,
member: $i > $i > $o ).
thf(sk__11_type,type,
sk__11: $i ).
thf(sk__6_type,type,
sk__6: $i > $i > $i > $i ).
thf(maps_type,type,
maps: $i > $i > $i > $o ).
thf(subset_type,type,
subset: $i > $i > $o ).
thf(image2_type,type,
image2: $i > $i > $i ).
thf(apply_type,type,
apply: $i > $i > $i > $o ).
thf(sk__10_type,type,
sk__10: $i ).
thf(sk__type,type,
sk_: $i > $i > $i ).
thf(sk__7_type,type,
sk__7: $i ).
thf(thIIa01,conjecture,
! [F: $i,A: $i,B: $i,X: $i,Y: $i] :
( ( ( maps @ F @ A @ B )
& ( subset @ X @ A )
& ( subset @ Y @ A )
& ( subset @ X @ Y ) )
=> ( subset @ ( image2 @ F @ X ) @ ( image2 @ F @ Y ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [F: $i,A: $i,B: $i,X: $i,Y: $i] :
( ( ( maps @ F @ A @ B )
& ( subset @ X @ A )
& ( subset @ Y @ A )
& ( subset @ X @ Y ) )
=> ( subset @ ( image2 @ F @ X ) @ ( image2 @ F @ Y ) ) ),
inference('cnf.neg',[status(esa)],[thIIa01]) ).
thf(zip_derived_cl22,plain,
~ ( subset @ ( image2 @ sk__7 @ sk__10 ) @ ( image2 @ sk__7 @ sk__11 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(subset,axiom,
! [A: $i,B: $i] :
( ( subset @ A @ B )
<=> ! [X: $i] :
( ( member @ X @ A )
=> ( member @ X @ B ) ) ) ).
thf(zip_derived_cl1,plain,
! [X0: $i,X1: $i] :
( ( subset @ X0 @ X1 )
| ~ ( member @ ( sk_ @ X1 @ X0 ) @ X1 ) ),
inference(cnf,[status(esa)],[subset]) ).
thf(zip_derived_cl23,plain,
subset @ sk__10 @ sk__11,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2,plain,
! [X0: $i,X1: $i] :
( ( subset @ X0 @ X1 )
| ( member @ ( sk_ @ X1 @ X0 ) @ X0 ) ),
inference(cnf,[status(esa)],[subset]) ).
thf(image2,axiom,
! [F: $i,A: $i,Y: $i] :
( ( member @ Y @ ( image2 @ F @ A ) )
<=> ? [X: $i] :
( ( apply @ F @ X @ Y )
& ( member @ X @ A ) ) ) ).
thf(zip_derived_cl20,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( member @ ( sk__6 @ X0 @ X1 @ X2 ) @ X1 )
| ~ ( member @ X0 @ ( image2 @ X2 @ X1 ) ) ),
inference(cnf,[status(esa)],[image2]) ).
thf(zip_derived_cl0,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( member @ X0 @ X1 )
| ( member @ X0 @ X2 )
| ~ ( subset @ X1 @ X2 ) ),
inference(cnf,[status(esa)],[subset]) ).
thf(zip_derived_cl75,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( member @ X2 @ ( image2 @ X1 @ X0 ) )
| ~ ( subset @ X0 @ X3 )
| ( member @ ( sk__6 @ X2 @ X0 @ X1 ) @ X3 ) ),
inference('sup-',[status(thm)],[zip_derived_cl20,zip_derived_cl0]) ).
thf(zip_derived_cl19,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( apply @ X0 @ ( sk__6 @ X1 @ X2 @ X0 ) @ X1 )
| ~ ( member @ X1 @ ( image2 @ X0 @ X2 ) ) ),
inference(cnf,[status(esa)],[image2]) ).
thf(zip_derived_cl21,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( member @ X0 @ ( image2 @ X1 @ X2 ) )
| ~ ( member @ X3 @ X2 )
| ~ ( apply @ X1 @ X3 @ X0 ) ),
inference(cnf,[status(esa)],[image2]) ).
thf(zip_derived_cl77,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( member @ X0 @ ( image2 @ X1 @ X2 ) )
| ~ ( member @ ( sk__6 @ X0 @ X2 @ X1 ) @ X3 )
| ( member @ X0 @ ( image2 @ X1 @ X3 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl19,zip_derived_cl21]) ).
thf(zip_derived_cl131,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( subset @ X2 @ X0 )
| ~ ( member @ X3 @ ( image2 @ X1 @ X2 ) )
| ( member @ X3 @ ( image2 @ X1 @ X0 ) )
| ~ ( member @ X3 @ ( image2 @ X1 @ X2 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl75,zip_derived_cl77]) ).
thf(zip_derived_cl134,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( member @ X3 @ ( image2 @ X1 @ X0 ) )
| ~ ( member @ X3 @ ( image2 @ X1 @ X2 ) )
| ~ ( subset @ X2 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl131]) ).
thf(zip_derived_cl135,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( subset @ ( image2 @ X1 @ X0 ) @ X2 )
| ~ ( subset @ X0 @ X3 )
| ( member @ ( sk_ @ X2 @ ( image2 @ X1 @ X0 ) ) @ ( image2 @ X1 @ X3 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl134]) ).
thf(zip_derived_cl152,plain,
! [X0: $i,X1: $i] :
( ( member @ ( sk_ @ X1 @ ( image2 @ X0 @ sk__10 ) ) @ ( image2 @ X0 @ sk__11 ) )
| ( subset @ ( image2 @ X0 @ sk__10 ) @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl23,zip_derived_cl135]) ).
thf(zip_derived_cl4289,plain,
! [X0: $i] :
( ( subset @ ( image2 @ X0 @ sk__10 ) @ ( image2 @ X0 @ sk__11 ) )
| ( subset @ ( image2 @ X0 @ sk__10 ) @ ( image2 @ X0 @ sk__11 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl1,zip_derived_cl152]) ).
thf(zip_derived_cl4292,plain,
! [X0: $i] : ( subset @ ( image2 @ X0 @ sk__10 ) @ ( image2 @ X0 @ sk__11 ) ),
inference(simplify,[status(thm)],[zip_derived_cl4289]) ).
thf(zip_derived_cl4297,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl22,zip_derived_cl4292]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.18 % Problem : SET751+4 : TPTP v9.2.0. Bugfixed v2.2.1.
% 0.08/0.19 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.SK7eIXymCv true
% 0.09/0.40 % Computer : n012.cluster.edu
% 0.09/0.40 % Model : x86_64 x86_64
% 0.09/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.40 % Memory : 8042.1875MB
% 0.09/0.40 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.40 % CPULimit : 300
% 0.09/0.40 % WCLimit : 300
% 0.09/0.40 % DateTime : Wed Oct 1 12:52:53 EDT 2025
% 0.09/0.41 % CPUTime :
% 0.09/0.41 % Running portfolio for 300 s
% 0.09/0.41 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.41 % Number of cores: 8
% 0.09/0.41 % Python version: Python 3.6.8
% 0.09/0.41 % Running in FO mode
% 0.40/0.66 % Total configuration time : 435
% 0.40/0.66 % Estimated wc time : 1092
% 0.40/0.66 % Estimated cpu time (7 cpus) : 156.0
% 0.40/0.77 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.40/0.80 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.40/0.80 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.40/0.83 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.40/0.84 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.40/0.85 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.40/0.87 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 10.31/3.04 % Solved by fo/fo4.sh.
% 10.31/3.04 % done 638 iterations in 2.044s
% 10.31/3.04 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 10.31/3.04 % SZS output start Refutation
% See solution above
% 10.31/3.04
% 10.31/3.04
% 10.31/3.04 % Terminating...
% 10.71/3.23 % Runner terminated.
% 10.71/3.24 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------