%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET753^4 : TPTP v9.2.0. Released v3.6.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.9daNNuTb9U 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 04:52:47 PM UTC 2025
% Result : Theorem 0.61s 0.79s
% Output : Refutation 0.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 8
% Syntax : Number of formulae : 23 ( 16 unt; 0 typ; 0 def)
% Number of atoms : 52 ( 29 equ; 0 cnn)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 104 ( 15 ~; 8 |; 16 &; 60 @)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 27 ( 27 >; 0 *; 0 +; 0 <<)
% Number of symbols : 10 ( 8 usr; 3 con; 0-3 aty)
% Number of variables : 52 ( 24 ^; 19 !; 9 ?; 52 :)
% Comments :
%------------------------------------------------------------------------------
thf(intersection_type,type,
intersection: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(sk__14_type,type,
sk__14: $i > $o ).
thf(sk__16_type,type,
sk__16: $i ).
thf(sk__15_type,type,
sk__15: $i > $i ).
thf(sk__13_type,type,
sk__13: $i > $o ).
thf(sk__17_type,type,
sk__17: $i ).
thf(fun_image_type,type,
fun_image: ( $i > $i ) > ( $i > $o ) > $i > $o ).
thf(subset_type,type,
subset: ( $i > $o ) > ( $i > $o ) > $o ).
thf(fun_image,axiom,
( fun_image
= ( ^ [F: $i > $i,A: $i > $o,Y: $i] :
? [X: $i] :
( ( Y
= ( F @ X ) )
& ( A @ X ) ) ) ) ).
thf('0',plain,
( fun_image
= ( ^ [F: $i > $i,A: $i > $o,Y: $i] :
? [X: $i] :
( ( Y
= ( F @ X ) )
& ( A @ X ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[fun_image]) ).
thf('1',plain,
( fun_image
= ( ^ [V_1: $i > $i,V_2: $i > $o,V_3: $i] :
? [X4: $i] :
( ( V_3
= ( V_1 @ X4 ) )
& ( V_2 @ X4 ) ) ) ),
define([status(thm)]) ).
thf(subset,axiom,
( subset
= ( ^ [X: $i > $o,Y: $i > $o] :
! [U: $i] :
( ( X @ U )
=> ( Y @ U ) ) ) ) ).
thf('2',plain,
( subset
= ( ^ [X: $i > $o,Y: $i > $o] :
! [U: $i] :
( ( X @ U )
=> ( Y @ U ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[subset]) ).
thf('3',plain,
( subset
= ( ^ [V_1: $i > $o,V_2: $i > $o] :
! [X4: $i] :
( ( V_1 @ X4 )
=> ( V_2 @ X4 ) ) ) ),
define([status(thm)]) ).
thf(intersection,axiom,
( intersection
= ( ^ [X: $i > $o,Y: $i > $o,U: $i] :
( ( X @ U )
& ( Y @ U ) ) ) ) ).
thf('4',plain,
( intersection
= ( ^ [X: $i > $o,Y: $i > $o,U: $i] :
( ( X @ U )
& ( Y @ U ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[intersection]) ).
thf('5',plain,
( intersection
= ( ^ [V_1: $i > $o,V_2: $i > $o,V_3: $i] :
( ( V_1 @ V_3 )
& ( V_2 @ V_3 ) ) ) ),
define([status(thm)]) ).
thf(thm,conjecture,
! [X: $i > $o,Y: $i > $o,F: $i > $i] : ( subset @ ( fun_image @ F @ ( intersection @ X @ Y ) ) @ ( intersection @ ( fun_image @ F @ X ) @ ( fun_image @ F @ Y ) ) ) ).
thf(zf_stmt_0,conjecture,
! [X4: $i > $o,X6: $i > $o,X8: $i > $i,X10: $i] :
( ? [X12: $i] :
( ( X10
= ( X8 @ X12 ) )
& ( X4 @ X12 )
& ( X6 @ X12 ) )
=> ( ? [X14: $i] :
( ( X10
= ( X8 @ X14 ) )
& ( X4 @ X14 ) )
& ? [X16: $i] :
( ( X10
= ( X8 @ X16 ) )
& ( X6 @ X16 ) ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ! [X4: $i > $o,X6: $i > $o,X8: $i > $i,X10: $i] :
( ? [X12: $i] :
( ( X10
= ( X8 @ X12 ) )
& ( X4 @ X12 )
& ( X6 @ X12 ) )
=> ( ? [X14: $i] :
( ( X10
= ( X8 @ X14 ) )
& ( X4 @ X14 ) )
& ? [X16: $i] :
( ( X10
= ( X8 @ X16 ) )
& ( X6 @ X16 ) ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2,plain,
sk__14 @ sk__17,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl1,plain,
sk__13 @ sk__17,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl3,plain,
! [X0: $i,X1: $i] :
( ~ ( sk__13 @ X0 )
| ( sk__16
!= ( sk__15 @ X0 ) )
| ~ ( sk__14 @ X1 )
| ( sk__16
!= ( sk__15 @ X1 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl4,plain,
! [X0: $i] :
( ( sk__16
!= ( sk__15 @ X0 ) )
| ~ ( sk__14 @ X0 )
| ( sk__16
!= ( sk__15 @ sk__17 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl1,zip_derived_cl3]) ).
thf(zip_derived_cl0,plain,
( sk__16
= ( sk__15 @ sk__17 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl6,plain,
! [X0: $i] :
( ( sk__16
!= ( sk__15 @ X0 ) )
| ~ ( sk__14 @ X0 )
| ( sk__16 != sk__16 ) ),
inference(demod,[status(thm)],[zip_derived_cl4,zip_derived_cl0]) ).
thf(zip_derived_cl7,plain,
! [X0: $i] :
( ~ ( sk__14 @ X0 )
| ( sk__16
!= ( sk__15 @ X0 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl6]) ).
thf(zip_derived_cl10,plain,
( sk__16
!= ( sk__15 @ sk__17 ) ),
inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl7]) ).
thf(zip_derived_cl0_001,plain,
( sk__16
= ( sk__15 @ sk__17 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl12,plain,
sk__16 != sk__16,
inference(demod,[status(thm)],[zip_derived_cl10,zip_derived_cl0]) ).
thf(zip_derived_cl13,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET753^4 : TPTP v9.2.0. Released v3.6.0.
% 0.03/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.9daNNuTb9U true
% 0.13/0.34 % Computer : n018.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 13:07:53 EDT 2025
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox2/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 HO mode
% 0.60/0.68 % Total configuration time : 828
% 0.60/0.68 % Estimated wc time : 1656
% 0.60/0.68 % Estimated cpu time (8 cpus) : 207.0
% 0.61/0.76 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.61/0.76 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.61/0.77 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.61/0.77 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.61/0.77 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.61/0.78 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.61/0.78 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.61/0.78 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 0.61/0.79 % Solved by lams/40_c.s.sh.
% 0.61/0.79 % done 4 iterations in 0.012s
% 0.61/0.79 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.61/0.79 % SZS output start Refutation
% See solution above
% 0.61/0.79
% 0.61/0.79
% 0.61/0.79 % Terminating...
% 1.95/0.88 % Runner terminated.
% 1.95/0.88 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------