%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET928+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.trrnlg5S51 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 04:53:11 PM UTC 2025
% Result : Theorem 0.89s 0.68s
% Output : Refutation 0.89s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 5
% Syntax : Number of formulae : 33 ( 9 unt; 0 typ; 0 def)
% Number of atoms : 67 ( 15 equ; 0 cnn)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 262 ( 34 ~; 26 |; 5 &; 194 @)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 9 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 39 ( 0 ^; 39 !; 0 ?; 39 :)
% Comments :
%------------------------------------------------------------------------------
thf(sk__3_type,type,
sk__3: $i ).
thf(unordered_pair_type,type,
unordered_pair: $i > $i > $i ).
thf(in_type,type,
in: $i > $i > $o ).
thf(disjoint_type,type,
disjoint: $i > $i > $o ).
thf(sk__4_type,type,
sk__4: $i ).
thf(sk__2_type,type,
sk__2: $i ).
thf(set_difference_type,type,
set_difference: $i > $i > $i ).
thf(commutativity_k2_tarski,axiom,
! [A: $i,B: $i] :
( ( unordered_pair @ A @ B )
= ( unordered_pair @ B @ A ) ) ).
thf(zip_derived_cl1,plain,
! [X0: $i,X1: $i] :
( ( unordered_pair @ X1 @ X0 )
= ( unordered_pair @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[commutativity_k2_tarski]) ).
thf(t55_zfmisc_1,axiom,
! [A: $i,B: $i,C: $i] :
~ ( ( disjoint @ ( unordered_pair @ A @ B ) @ C )
& ( in @ A @ C ) ) ).
thf(zip_derived_cl5,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( disjoint @ ( unordered_pair @ X0 @ X1 ) @ X2 )
| ~ ( in @ X0 @ X2 ) ),
inference(cnf,[status(esa)],[t55_zfmisc_1]) ).
thf(zip_derived_cl54,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( disjoint @ ( unordered_pair @ X1 @ X0 ) @ X2 )
| ~ ( in @ X0 @ X2 ) ),
inference('sup-',[status(thm)],[zip_derived_cl1,zip_derived_cl5]) ).
thf(t72_zfmisc_1,conjecture,
! [A: $i,B: $i,C: $i] :
( ( ( set_difference @ ( unordered_pair @ A @ B ) @ C )
= ( unordered_pair @ A @ B ) )
<=> ( ~ ( in @ A @ C )
& ~ ( in @ B @ C ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [A: $i,B: $i,C: $i] :
( ( ( set_difference @ ( unordered_pair @ A @ B ) @ C )
= ( unordered_pair @ A @ B ) )
<=> ( ~ ( in @ A @ C )
& ~ ( in @ B @ C ) ) ),
inference('cnf.neg',[status(esa)],[t72_zfmisc_1]) ).
thf(zip_derived_cl8,plain,
( ~ ( in @ sk__3 @ sk__4 )
| ( ( set_difference @ ( unordered_pair @ sk__2 @ sk__3 ) @ sk__4 )
= ( unordered_pair @ sk__2 @ sk__3 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(t57_zfmisc_1,axiom,
! [A: $i,B: $i,C: $i] :
~ ( ~ ( in @ A @ B )
& ~ ( in @ C @ B )
& ~ ( disjoint @ ( unordered_pair @ A @ C ) @ B ) ) ).
thf(zip_derived_cl6,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( in @ X0 @ X1 )
| ( disjoint @ ( unordered_pair @ X0 @ X2 ) @ X1 )
| ( in @ X2 @ X1 ) ),
inference(cnf,[status(esa)],[t57_zfmisc_1]) ).
thf(t83_xboole_1,axiom,
! [A: $i,B: $i] :
( ( disjoint @ A @ B )
<=> ( ( set_difference @ A @ B )
= A ) ) ).
thf(zip_derived_cl10,plain,
! [X0: $i,X1: $i] :
( ( ( set_difference @ X0 @ X1 )
= X0 )
| ~ ( disjoint @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[t83_xboole_1]) ).
thf(zip_derived_cl9,plain,
( ( in @ sk__3 @ sk__4 )
| ( in @ sk__2 @ sk__4 )
| ( ( set_difference @ ( unordered_pair @ sk__2 @ sk__3 ) @ sk__4 )
!= ( unordered_pair @ sk__2 @ sk__3 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl61,plain,
( ( ( unordered_pair @ sk__2 @ sk__3 )
!= ( unordered_pair @ sk__2 @ sk__3 ) )
| ~ ( disjoint @ ( unordered_pair @ sk__2 @ sk__3 ) @ sk__4 )
| ( in @ sk__2 @ sk__4 )
| ( in @ sk__3 @ sk__4 ) ),
inference('sup-',[status(thm)],[zip_derived_cl10,zip_derived_cl9]) ).
thf(zip_derived_cl62,plain,
( ( in @ sk__3 @ sk__4 )
| ( in @ sk__2 @ sk__4 )
| ~ ( disjoint @ ( unordered_pair @ sk__2 @ sk__3 ) @ sk__4 ) ),
inference(simplify,[status(thm)],[zip_derived_cl61]) ).
thf(zip_derived_cl5_001,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( disjoint @ ( unordered_pair @ X0 @ X1 ) @ X2 )
| ~ ( in @ X0 @ X2 ) ),
inference(cnf,[status(esa)],[t55_zfmisc_1]) ).
thf(zip_derived_cl63,plain,
( ~ ( disjoint @ ( unordered_pair @ sk__2 @ sk__3 ) @ sk__4 )
| ( in @ sk__3 @ sk__4 ) ),
inference(clc,[status(thm)],[zip_derived_cl62,zip_derived_cl5]) ).
thf(zip_derived_cl65,plain,
( ( in @ sk__3 @ sk__4 )
| ( in @ sk__2 @ sk__4 )
| ( in @ sk__3 @ sk__4 ) ),
inference('sup-',[status(thm)],[zip_derived_cl6,zip_derived_cl63]) ).
thf(zip_derived_cl66,plain,
( ( in @ sk__2 @ sk__4 )
| ( in @ sk__3 @ sk__4 ) ),
inference(simplify,[status(thm)],[zip_derived_cl65]) ).
thf(zip_derived_cl7,plain,
( ~ ( in @ sk__2 @ sk__4 )
| ( ( set_difference @ ( unordered_pair @ sk__2 @ sk__3 ) @ sk__4 )
= ( unordered_pair @ sk__2 @ sk__3 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl11,plain,
! [X0: $i,X1: $i] :
( ( disjoint @ X0 @ X1 )
| ( ( set_difference @ X0 @ X1 )
!= X0 ) ),
inference(cnf,[status(esa)],[t83_xboole_1]) ).
thf(zip_derived_cl73,plain,
( ( ( unordered_pair @ sk__2 @ sk__3 )
!= ( unordered_pair @ sk__2 @ sk__3 ) )
| ~ ( in @ sk__2 @ sk__4 )
| ( disjoint @ ( unordered_pair @ sk__2 @ sk__3 ) @ sk__4 ) ),
inference('sup-',[status(thm)],[zip_derived_cl7,zip_derived_cl11]) ).
thf(zip_derived_cl74,plain,
( ( disjoint @ ( unordered_pair @ sk__2 @ sk__3 ) @ sk__4 )
| ~ ( in @ sk__2 @ sk__4 ) ),
inference(simplify,[status(thm)],[zip_derived_cl73]) ).
thf(zip_derived_cl5_002,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( disjoint @ ( unordered_pair @ X0 @ X1 ) @ X2 )
| ~ ( in @ X0 @ X2 ) ),
inference(cnf,[status(esa)],[t55_zfmisc_1]) ).
thf(zip_derived_cl75,plain,
~ ( in @ sk__2 @ sk__4 ),
inference(clc,[status(thm)],[zip_derived_cl74,zip_derived_cl5]) ).
thf(zip_derived_cl76,plain,
in @ sk__3 @ sk__4,
inference(demod,[status(thm)],[zip_derived_cl66,zip_derived_cl75]) ).
thf(zip_derived_cl79,plain,
( ( set_difference @ ( unordered_pair @ sk__2 @ sk__3 ) @ sk__4 )
= ( unordered_pair @ sk__2 @ sk__3 ) ),
inference(demod,[status(thm)],[zip_derived_cl8,zip_derived_cl76]) ).
thf(zip_derived_cl11_003,plain,
! [X0: $i,X1: $i] :
( ( disjoint @ X0 @ X1 )
| ( ( set_difference @ X0 @ X1 )
!= X0 ) ),
inference(cnf,[status(esa)],[t83_xboole_1]) ).
thf(zip_derived_cl80,plain,
( ( ( unordered_pair @ sk__2 @ sk__3 )
!= ( unordered_pair @ sk__2 @ sk__3 ) )
| ( disjoint @ ( unordered_pair @ sk__2 @ sk__3 ) @ sk__4 ) ),
inference('sup-',[status(thm)],[zip_derived_cl79,zip_derived_cl11]) ).
thf(zip_derived_cl81,plain,
disjoint @ ( unordered_pair @ sk__2 @ sk__3 ) @ sk__4,
inference(simplify,[status(thm)],[zip_derived_cl80]) ).
thf(zip_derived_cl86,plain,
~ ( in @ sk__3 @ sk__4 ),
inference('sup+',[status(thm)],[zip_derived_cl54,zip_derived_cl81]) ).
thf(zip_derived_cl76_004,plain,
in @ sk__3 @ sk__4,
inference(demod,[status(thm)],[zip_derived_cl66,zip_derived_cl75]) ).
thf(zip_derived_cl87,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl86,zip_derived_cl76]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.08 % Problem : SET928+1 : TPTP v9.2.0. Released v3.2.0.
% 0.00/0.09 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.trrnlg5S51 true
% 0.09/0.29 % Computer : n012.cluster.edu
% 0.09/0.29 % Model : x86_64 x86_64
% 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29 % Memory : 8042.1875MB
% 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29 % CPULimit : 300
% 0.09/0.29 % WCLimit : 300
% 0.09/0.29 % DateTime : Wed Oct 1 12:59:53 EDT 2025
% 0.09/0.29 % CPUTime :
% 0.09/0.29 % Running portfolio for 300 s
% 0.09/0.29 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.29 % Number of cores: 8
% 0.09/0.29 % Python version: Python 3.6.8
% 0.09/0.29 % Running in FO mode
% 0.15/0.54 % Total configuration time : 435
% 0.15/0.54 % Estimated wc time : 1092
% 0.15/0.54 % Estimated cpu time (7 cpus) : 156.0
% 0.89/0.63 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.89/0.64 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.89/0.64 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.89/0.65 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.89/0.66 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.89/0.67 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.89/0.67 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.89/0.68 % Solved by fo/fo3_bce.sh.
% 0.89/0.68 % BCE start: 12
% 0.89/0.68 % BCE eliminated: 0
% 0.89/0.68 % PE start: 12
% 0.89/0.68 logic: eq
% 0.89/0.68 % PE eliminated: 1
% 0.89/0.68 % done 24 iterations in 0.013s
% 0.89/0.68 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.89/0.68 % SZS output start Refutation
% See solution above
% 0.89/0.68
% 0.89/0.68
% 0.89/0.68 % Terminating...
% 1.09/0.75 % Runner terminated.
% 1.09/0.76 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------