%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET979+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.PsKqz6Kcr6 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 04:53:16 PM UTC 2025
% Result : Theorem 1.17s 0.67s
% Output : Refutation 1.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of formulae : 11 ( 6 unt; 0 typ; 0 def)
% Number of atoms : 16 ( 15 equ; 0 cnn)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 156 ( 5 ~; 2 |; 3 &; 146 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Number of types : 1 ( 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 : 21 ( 0 ^; 21 !; 0 ?; 21 :)
% Comments :
%------------------------------------------------------------------------------
thf(set_union2_type,type,
set_union2: $i > $i > $i ).
thf(unordered_pair_type,type,
unordered_pair: $i > $i > $i ).
thf(singleton_type,type,
singleton: $i > $i ).
thf(cartesian_product2_type,type,
cartesian_product2: $i > $i > $i ).
thf(sk__4_type,type,
sk__4: $i ).
thf(sk__3_type,type,
sk__3: $i ).
thf(sk__2_type,type,
sk__2: $i ).
thf(t132_zfmisc_1,conjecture,
! [A: $i,B: $i,C: $i] :
( ( ( cartesian_product2 @ C @ ( unordered_pair @ A @ B ) )
= ( set_union2 @ ( cartesian_product2 @ C @ ( singleton @ A ) ) @ ( cartesian_product2 @ C @ ( singleton @ B ) ) ) )
& ( ( cartesian_product2 @ ( unordered_pair @ A @ B ) @ C )
= ( set_union2 @ ( cartesian_product2 @ ( singleton @ A ) @ C ) @ ( cartesian_product2 @ ( singleton @ B ) @ C ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [A: $i,B: $i,C: $i] :
( ( ( cartesian_product2 @ C @ ( unordered_pair @ A @ B ) )
= ( set_union2 @ ( cartesian_product2 @ C @ ( singleton @ A ) ) @ ( cartesian_product2 @ C @ ( singleton @ B ) ) ) )
& ( ( cartesian_product2 @ ( unordered_pair @ A @ B ) @ C )
= ( set_union2 @ ( cartesian_product2 @ ( singleton @ A ) @ C ) @ ( cartesian_product2 @ ( singleton @ B ) @ C ) ) ) ),
inference('cnf.neg',[status(esa)],[t132_zfmisc_1]) ).
thf(zip_derived_cl9,plain,
( ( ( cartesian_product2 @ sk__4 @ ( unordered_pair @ sk__2 @ sk__3 ) )
!= ( set_union2 @ ( cartesian_product2 @ sk__4 @ ( singleton @ sk__2 ) ) @ ( cartesian_product2 @ sk__4 @ ( singleton @ sk__3 ) ) ) )
| ( ( cartesian_product2 @ ( unordered_pair @ sk__2 @ sk__3 ) @ sk__4 )
!= ( set_union2 @ ( cartesian_product2 @ ( singleton @ sk__2 ) @ sk__4 ) @ ( cartesian_product2 @ ( singleton @ sk__3 ) @ sk__4 ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(t120_zfmisc_1,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( cartesian_product2 @ C @ ( set_union2 @ A @ B ) )
= ( set_union2 @ ( cartesian_product2 @ C @ A ) @ ( cartesian_product2 @ C @ B ) ) )
& ( ( cartesian_product2 @ ( set_union2 @ A @ B ) @ C )
= ( set_union2 @ ( cartesian_product2 @ A @ C ) @ ( cartesian_product2 @ B @ C ) ) ) ) ).
thf(zip_derived_cl8,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( cartesian_product2 @ X0 @ ( set_union2 @ X1 @ X2 ) )
= ( set_union2 @ ( cartesian_product2 @ X0 @ X1 ) @ ( cartesian_product2 @ X0 @ X2 ) ) ),
inference(cnf,[status(esa)],[t120_zfmisc_1]) ).
thf(t41_enumset1,axiom,
! [A: $i,B: $i] :
( ( unordered_pair @ A @ B )
= ( set_union2 @ ( singleton @ A ) @ ( singleton @ B ) ) ) ).
thf(zip_derived_cl10,plain,
! [X0: $i,X1: $i] :
( ( unordered_pair @ X0 @ X1 )
= ( set_union2 @ ( singleton @ X0 ) @ ( singleton @ X1 ) ) ),
inference(cnf,[status(esa)],[t41_enumset1]) ).
thf(zip_derived_cl7,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( cartesian_product2 @ ( set_union2 @ X0 @ X2 ) @ X1 )
= ( set_union2 @ ( cartesian_product2 @ X0 @ X1 ) @ ( cartesian_product2 @ X2 @ X1 ) ) ),
inference(cnf,[status(esa)],[t120_zfmisc_1]) ).
thf(zip_derived_cl10_001,plain,
! [X0: $i,X1: $i] :
( ( unordered_pair @ X0 @ X1 )
= ( set_union2 @ ( singleton @ X0 ) @ ( singleton @ X1 ) ) ),
inference(cnf,[status(esa)],[t41_enumset1]) ).
thf(zip_derived_cl11,plain,
( ( ( cartesian_product2 @ sk__4 @ ( unordered_pair @ sk__2 @ sk__3 ) )
!= ( cartesian_product2 @ sk__4 @ ( unordered_pair @ sk__2 @ sk__3 ) ) )
| ( ( cartesian_product2 @ ( unordered_pair @ sk__2 @ sk__3 ) @ sk__4 )
!= ( cartesian_product2 @ ( unordered_pair @ sk__2 @ sk__3 ) @ sk__4 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9,zip_derived_cl8,zip_derived_cl10,zip_derived_cl7,zip_derived_cl10]) ).
thf(zip_derived_cl12,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl11]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.10 % Problem : SET979+1 : TPTP v9.2.0. Released v3.2.0.
% 0.03/0.10 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.PsKqz6Kcr6 true
% 0.10/0.31 % Computer : n002.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Wed Oct 1 13:11:23 EDT 2025
% 0.10/0.31 % CPUTime :
% 0.10/0.31 % Running portfolio for 300 s
% 0.10/0.31 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.31 % Number of cores: 8
% 0.10/0.31 % Python version: Python 3.6.8
% 0.10/0.32 % Running in FO mode
% 0.16/0.56 % Total configuration time : 435
% 0.16/0.56 % Estimated wc time : 1092
% 0.16/0.56 % Estimated cpu time (7 cpus) : 156.0
% 1.06/0.63 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 1.06/0.63 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 1.06/0.64 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 1.06/0.64 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 1.06/0.64 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 1.17/0.65 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 1.17/0.65 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.17/0.67 % Solved by fo/fo13.sh.
% 1.17/0.67 % done 0 iterations in 0.009s
% 1.17/0.67 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.17/0.67 % SZS output start Refutation
% See solution above
% 1.17/0.67
% 1.17/0.67
% 1.17/0.67 % Terminating...
% 1.45/0.76 % Runner terminated.
% 1.58/0.77 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------