%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET878+1 : TPTP v9.2.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.1srQOPFBMt true
% Computer : n025.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 04:53:04 PM UTC 2025
% Result : Theorem 1.24s 0.72s
% Output : Refutation 1.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 4
% Syntax : Number of formulae : 15 ( 8 unt; 0 typ; 0 def)
% Number of atoms : 25 ( 15 equ; 0 cnn)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 90 ( 10 ~; 7 |; 0 &; 70 @)
% ( 2 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 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 : 27 ( 0 ^; 27 !; 0 ?; 27 :)
% Comments :
%------------------------------------------------------------------------------
thf(set_intersection2_type,type,
set_intersection2: $i > $i > $i ).
thf(unordered_pair_type,type,
unordered_pair: $i > $i > $i ).
thf(in_type,type,
in: $i > $i > $o ).
thf(sk__3_type,type,
sk__3: $i ).
thf(singleton_type,type,
singleton: $i > $i ).
thf(sk__4_type,type,
sk__4: $i ).
thf(l32_zfmisc_1,axiom,
! [A: $i,B: $i] :
( ( in @ A @ B )
=> ( ( set_intersection2 @ B @ ( singleton @ A ) )
= ( singleton @ A ) ) ) ).
thf(zip_derived_cl10,plain,
! [X0: $i,X1: $i] :
( ( ( set_intersection2 @ X1 @ ( singleton @ X0 ) )
= ( singleton @ X0 ) )
| ~ ( in @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[l32_zfmisc_1]) ).
thf(commutativity_k3_xboole_0,axiom,
! [A: $i,B: $i] :
( ( set_intersection2 @ A @ B )
= ( set_intersection2 @ B @ A ) ) ).
thf(zip_derived_cl2,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2 @ X1 @ X0 )
= ( set_intersection2 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[commutativity_k3_xboole_0]) ).
thf(zip_derived_cl44,plain,
! [X0: $i,X1: $i] :
( ( ( set_intersection2 @ ( singleton @ X0 ) @ X1 )
= ( singleton @ X0 ) )
| ~ ( in @ X0 @ X1 ) ),
inference('sup+',[status(thm)],[zip_derived_cl10,zip_derived_cl2]) ).
thf(t19_zfmisc_1,conjecture,
! [A: $i,B: $i] :
( ( set_intersection2 @ ( singleton @ A ) @ ( unordered_pair @ A @ B ) )
= ( singleton @ A ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [A: $i,B: $i] :
( ( set_intersection2 @ ( singleton @ A ) @ ( unordered_pair @ A @ B ) )
= ( singleton @ A ) ),
inference('cnf.neg',[status(esa)],[t19_zfmisc_1]) ).
thf(zip_derived_cl13,plain,
( ( set_intersection2 @ ( singleton @ sk__3 ) @ ( unordered_pair @ sk__3 @ sk__4 ) )
!= ( singleton @ sk__3 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl67,plain,
( ( ( singleton @ sk__3 )
!= ( singleton @ sk__3 ) )
| ~ ( in @ sk__3 @ ( unordered_pair @ sk__3 @ sk__4 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl44,zip_derived_cl13]) ).
thf(zip_derived_cl68,plain,
~ ( in @ sk__3 @ ( unordered_pair @ sk__3 @ sk__4 ) ),
inference(simplify,[status(thm)],[zip_derived_cl67]) ).
thf(d2_tarski,axiom,
! [A: $i,B: $i,C: $i] :
( ( C
= ( unordered_pair @ A @ B ) )
<=> ! [D: $i] :
( ( in @ D @ C )
<=> ( ( D = A )
| ( D = B ) ) ) ) ).
thf(zip_derived_cl4,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1 != X0 )
| ( in @ X1 @ X2 )
| ( X2
!= ( unordered_pair @ X0 @ X3 ) ) ),
inference(cnf,[status(esa)],[d2_tarski]) ).
thf(zip_derived_cl43,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0
!= ( unordered_pair @ X2 @ X1 ) )
| ( in @ X2 @ X0 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl52,plain,
! [X0: $i,X1: $i] : ( in @ X1 @ ( unordered_pair @ X1 @ X0 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl43]) ).
thf(zip_derived_cl74,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl68,zip_derived_cl52]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SET878+1 : TPTP v9.2.0. Released v3.2.0.
% 0.07/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.1srQOPFBMt true
% 0.13/0.34 % Computer : n025.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 13:05:53 EDT 2025
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % 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 FO mode
% 0.19/0.58 % Total configuration time : 435
% 0.19/0.58 % Estimated wc time : 1092
% 0.19/0.58 % Estimated cpu time (7 cpus) : 156.0
% 0.84/0.67 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.84/0.68 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.84/0.69 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.84/0.69 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.84/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.84/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 1.24/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.24/0.72 % Solved by fo/fo3_bce.sh.
% 1.24/0.72 % BCE start: 14
% 1.24/0.72 % BCE eliminated: 0
% 1.24/0.72 % PE start: 14
% 1.24/0.72 logic: eq
% 1.24/0.72 % PE eliminated: 1
% 1.24/0.72 % done 31 iterations in 0.016s
% 1.24/0.72 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.24/0.72 % SZS output start Refutation
% See solution above
% 1.24/0.72
% 1.24/0.72
% 1.24/0.72 % Terminating...
% 1.54/0.80 % Runner terminated.
% 1.54/0.81 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------