TSTP Solution File: SET971+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET971+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.pKwjCNncNm true
% Computer : n016.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 Aug 31 16:17:02 EDT 2023
% Result : Theorem 0.20s 0.73s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 11
% Syntax : Number of formulae : 23 ( 11 unt; 7 typ; 0 def)
% Number of atoms : 23 ( 13 equ; 0 cnn)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 100 ( 5 ~; 2 |; 2 &; 88 @)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 6 ( 6 >; 0 *; 0 +; 0 <<)
% Number of symbols : 9 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 26 ( 0 ^; 26 !; 0 ?; 26 :)
% Comments :
%------------------------------------------------------------------------------
thf(set_intersection2_type,type,
set_intersection2: $i > $i > $i ).
thf(sk__3_type,type,
sk__3: $i ).
thf(sk__5_type,type,
sk__5: $i ).
thf(sk__4_type,type,
sk__4: $i ).
thf(subset_type,type,
subset: $i > $i > $o ).
thf(sk__2_type,type,
sk__2: $i ).
thf(cartesian_product2_type,type,
cartesian_product2: $i > $i > $i ).
thf(t124_zfmisc_1,conjecture,
! [A: $i,B: $i,C: $i,D: $i] :
( ( ( subset @ A @ B )
& ( subset @ C @ D ) )
=> ( ( set_intersection2 @ ( cartesian_product2 @ A @ D ) @ ( cartesian_product2 @ B @ C ) )
= ( cartesian_product2 @ A @ C ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [A: $i,B: $i,C: $i,D: $i] :
( ( ( subset @ A @ B )
& ( subset @ C @ D ) )
=> ( ( set_intersection2 @ ( cartesian_product2 @ A @ D ) @ ( cartesian_product2 @ B @ C ) )
= ( cartesian_product2 @ A @ C ) ) ),
inference('cnf.neg',[status(esa)],[t124_zfmisc_1]) ).
thf(zip_derived_cl6,plain,
( ( set_intersection2 @ ( cartesian_product2 @ sk__2 @ sk__5 ) @ ( cartesian_product2 @ sk__3 @ sk__4 ) )
!= ( cartesian_product2 @ sk__2 @ sk__4 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(t123_zfmisc_1,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ( cartesian_product2 @ ( set_intersection2 @ A @ B ) @ ( set_intersection2 @ C @ D ) )
= ( set_intersection2 @ ( cartesian_product2 @ A @ C ) @ ( cartesian_product2 @ B @ D ) ) ) ).
thf(zip_derived_cl5,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( cartesian_product2 @ ( set_intersection2 @ X0 @ X2 ) @ ( set_intersection2 @ X1 @ X3 ) )
= ( set_intersection2 @ ( cartesian_product2 @ X0 @ X1 ) @ ( cartesian_product2 @ X2 @ X3 ) ) ),
inference(cnf,[status(esa)],[t123_zfmisc_1]) ).
thf(zip_derived_cl8,plain,
subset @ sk__2 @ sk__3,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(t28_xboole_1,axiom,
! [A: $i,B: $i] :
( ( subset @ A @ B )
=> ( ( set_intersection2 @ A @ B )
= A ) ) ).
thf(zip_derived_cl9,plain,
! [X0: $i,X1: $i] :
( ( ( set_intersection2 @ X0 @ X1 )
= X0 )
| ~ ( subset @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[t28_xboole_1]) ).
thf(zip_derived_cl27,plain,
( ( set_intersection2 @ sk__2 @ sk__3 )
= sk__2 ),
inference('dp-resolution',[status(thm)],[zip_derived_cl8,zip_derived_cl9]) ).
thf(commutativity_k3_xboole_0,axiom,
! [A: $i,B: $i] :
( ( set_intersection2 @ A @ B )
= ( set_intersection2 @ B @ A ) ) ).
thf(zip_derived_cl0,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2 @ X1 @ X0 )
= ( set_intersection2 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[commutativity_k3_xboole_0]) ).
thf(zip_derived_cl7,plain,
subset @ sk__4 @ sk__5,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl9_001,plain,
! [X0: $i,X1: $i] :
( ( ( set_intersection2 @ X0 @ X1 )
= X0 )
| ~ ( subset @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[t28_xboole_1]) ).
thf(zip_derived_cl26,plain,
( ( set_intersection2 @ sk__4 @ sk__5 )
= sk__4 ),
inference('dp-resolution',[status(thm)],[zip_derived_cl7,zip_derived_cl9]) ).
thf(zip_derived_cl34,plain,
( ( cartesian_product2 @ sk__2 @ sk__4 )
!= ( cartesian_product2 @ sk__2 @ sk__4 ) ),
inference(demod,[status(thm)],[zip_derived_cl6,zip_derived_cl5,zip_derived_cl27,zip_derived_cl0,zip_derived_cl26]) ).
thf(zip_derived_cl35,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl34]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET971+1 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.pKwjCNncNm true
% 0.16/0.35 % Computer : n016.cluster.edu
% 0.16/0.35 % Model : x86_64 x86_64
% 0.16/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.35 % Memory : 8042.1875MB
% 0.16/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.35 % CPULimit : 300
% 0.16/0.35 % WCLimit : 300
% 0.16/0.35 % DateTime : Sat Aug 26 11:58:57 EDT 2023
% 0.16/0.35 % CPUTime :
% 0.16/0.35 % Running portfolio for 300 s
% 0.16/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/0.35 % Number of cores: 8
% 0.16/0.35 % Python version: Python 3.6.8
% 0.16/0.35 % Running in FO mode
% 0.20/0.64 % Total configuration time : 435
% 0.20/0.64 % Estimated wc time : 1092
% 0.20/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.73 % Solved by fo/fo6_bce.sh.
% 0.20/0.73 % BCE start: 10
% 0.20/0.73 % BCE eliminated: 0
% 0.20/0.73 % PE start: 10
% 0.20/0.73 logic: eq
% 0.20/0.73 % PE eliminated: 2
% 0.20/0.73 % done 7 iterations in 0.006s
% 0.20/0.73 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.20/0.73 % SZS output start Refutation
% See solution above
% 0.20/0.73
% 0.20/0.73
% 0.20/0.73 % Terminating...
% 1.32/0.85 % Runner terminated.
% 1.47/0.87 % Zipperpin 1.5 exiting
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