%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET904+1 : TPTP v9.2.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.sJ2FWO1sn1 true
% Computer : n002.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 04:53:07 PM UTC 2025
% Result : Theorem 0.52s 0.76s
% Output : Refutation 0.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 3
% Syntax : Number of formulae : 14 ( 6 unt; 0 typ; 0 def)
% Number of atoms : 24 ( 11 equ; 0 cnn)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 96 ( 11 ~; 7 |; 0 &; 75 @)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 8 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 18 ( 0 ^; 18 !; 0 ?; 18 :)
% Comments :
%------------------------------------------------------------------------------
thf(subset_type,type,
subset: $i > $i > $o ).
thf(sk__2_type,type,
sk__2: $i ).
thf(singleton_type,type,
singleton: $i > $i ).
thf(sk__3_type,type,
sk__3: $i ).
thf(set_union2_type,type,
set_union2: $i > $i > $i ).
thf(in_type,type,
in: $i > $i > $o ).
thf(t45_zfmisc_1,conjecture,
! [A: $i,B: $i] :
( ( subset @ ( set_union2 @ ( singleton @ A ) @ B ) @ B )
=> ( in @ A @ B ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [A: $i,B: $i] :
( ( subset @ ( set_union2 @ ( singleton @ A ) @ B ) @ B )
=> ( in @ A @ B ) ),
inference('cnf.neg',[status(esa)],[t45_zfmisc_1]) ).
thf(zip_derived_cl9,plain,
~ ( in @ sk__2 @ sk__3 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl8,plain,
subset @ ( set_union2 @ ( singleton @ sk__2 ) @ sk__3 ) @ sk__3,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(l21_zfmisc_1,axiom,
! [A: $i,B: $i] :
( ( subset @ ( set_union2 @ ( singleton @ A ) @ B ) @ B )
=> ( in @ A @ B ) ) ).
thf(zip_derived_cl10,plain,
! [X0: $i,X1: $i] :
( ( in @ X0 @ X1 )
| ~ ( subset @ ( set_union2 @ ( singleton @ X0 ) @ X1 ) @ X1 ) ),
inference(cnf,[status(esa)],[l21_zfmisc_1]) ).
thf(zip_derived_cl42,plain,
! [X0: $i,X1: $i] :
( ( ( set_union2 @ ( singleton @ sk__2 ) @ sk__3 )
!= ( set_union2 @ ( singleton @ X1 ) @ X0 ) )
| ( sk__3 != X0 )
| ( in @ X1 @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl8,zip_derived_cl10]) ).
thf(commutativity_k2_xboole_0,axiom,
! [A: $i,B: $i] :
( ( set_union2 @ A @ B )
= ( set_union2 @ B @ A ) ) ).
thf(zip_derived_cl2,plain,
! [X0: $i,X1: $i] :
( ( set_union2 @ X1 @ X0 )
= ( set_union2 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[commutativity_k2_xboole_0]) ).
thf(zip_derived_cl53,plain,
! [X0: $i,X1: $i] :
( ( ( set_union2 @ sk__3 @ ( singleton @ sk__2 ) )
!= ( set_union2 @ ( singleton @ X1 ) @ X0 ) )
| ( sk__3 != X0 )
| ( in @ X1 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl42,zip_derived_cl2]) ).
thf(zip_derived_cl56,plain,
( ( sk__3 != sk__3 )
| ( ( set_union2 @ sk__3 @ ( singleton @ sk__2 ) )
!= ( set_union2 @ ( singleton @ sk__2 ) @ sk__3 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl9,zip_derived_cl53]) ).
thf(zip_derived_cl2_001,plain,
! [X0: $i,X1: $i] :
( ( set_union2 @ X1 @ X0 )
= ( set_union2 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[commutativity_k2_xboole_0]) ).
thf(zip_derived_cl57,plain,
( ( sk__3 != sk__3 )
| ( ( set_union2 @ sk__3 @ ( singleton @ sk__2 ) )
!= ( set_union2 @ sk__3 @ ( singleton @ sk__2 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl56,zip_derived_cl2]) ).
thf(zip_derived_cl58,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl57]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.13 % Problem : SET904+1 : TPTP v9.2.0. Released v3.2.0.
% 0.06/0.15 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.sJ2FWO1sn1 true
% 0.13/0.35 % Computer : n002.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Wed Oct 1 12:58:53 EDT 2025
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.36 % Python version: Python 3.6.8
% 0.13/0.36 % Running in FO mode
% 0.51/0.63 % Total configuration time : 435
% 0.51/0.63 % Estimated wc time : 1092
% 0.51/0.63 % Estimated cpu time (7 cpus) : 156.0
% 0.52/0.72 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.52/0.72 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.52/0.73 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.52/0.73 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.52/0.73 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.52/0.74 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.52/0.74 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.52/0.76 % Solved by fo/fo3_bce.sh.
% 0.52/0.76 % BCE start: 11
% 0.52/0.76 % BCE eliminated: 0
% 0.52/0.76 % PE start: 11
% 0.52/0.76 logic: eq
% 0.52/0.76 % PE eliminated: 1
% 0.52/0.76 % done 10 iterations in 0.014s
% 0.52/0.76 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.52/0.76 % SZS output start Refutation
% See solution above
% 0.52/0.76
% 0.52/0.76
% 0.52/0.76 % Terminating...
% 0.55/0.84 % Runner terminated.
% 0.55/0.85 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------