TSTP Solution File: SET983+1 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET983+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.72jQRHqG8t true
% Computer : n009.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 16:17:05 EDT 2023
% Result : Theorem 0.61s 0.81s
% Output : Refutation 0.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 11
% Syntax : Number of formulae : 22 ( 8 unt; 8 typ; 0 def)
% Number of atoms : 27 ( 5 equ; 0 cnn)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 139 ( 10 ~; 6 |; 3 &; 116 @)
% ( 2 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 6 ( 6 >; 0 *; 0 +; 0 <<)
% Number of symbols : 10 ( 8 usr; 6 con; 0-2 aty)
% Number of variables : 29 ( 0 ^; 29 !; 0 ?; 29 :)
% Comments :
%------------------------------------------------------------------------------
thf(sk__6_type,type,
sk__6: $i ).
thf(set_intersection2_type,type,
set_intersection2: $i > $i > $i ).
thf(cartesian_product2_type,type,
cartesian_product2: $i > $i > $i ).
thf(in_type,type,
in: $i > $i > $o ).
thf(sk__5_type,type,
sk__5: $i ).
thf(sk__4_type,type,
sk__4: $i ).
thf(sk__7_type,type,
sk__7: $i ).
thf(sk__3_type,type,
sk__3: $i ).
thf(t137_zfmisc_1,conjecture,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( ( in @ A @ ( cartesian_product2 @ B @ C ) )
& ( in @ A @ ( cartesian_product2 @ D @ E ) ) )
=> ( in @ A @ ( cartesian_product2 @ ( set_intersection2 @ B @ D ) @ ( set_intersection2 @ C @ E ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( ( in @ A @ ( cartesian_product2 @ B @ C ) )
& ( in @ A @ ( cartesian_product2 @ D @ E ) ) )
=> ( in @ A @ ( cartesian_product2 @ ( set_intersection2 @ B @ D ) @ ( set_intersection2 @ C @ E ) ) ) ),
inference('cnf.neg',[status(esa)],[t137_zfmisc_1]) ).
thf(zip_derived_cl14,plain,
in @ sk__3 @ ( cartesian_product2 @ sk__4 @ sk__5 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(d3_xboole_0,axiom,
! [A: $i,B: $i,C: $i] :
( ( C
= ( set_intersection2 @ A @ B ) )
<=> ! [D: $i] :
( ( in @ D @ C )
<=> ( ( in @ D @ A )
& ( in @ D @ B ) ) ) ) ).
thf(zip_derived_cl2,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( in @ X0 @ X1 )
| ~ ( in @ X0 @ X2 )
| ( in @ X0 @ X3 )
| ( X3
!= ( set_intersection2 @ X1 @ X2 ) ) ),
inference(cnf,[status(esa)],[d3_xboole_0]) ).
thf(zip_derived_cl76,plain,
! [X0: $i,X1: $i] :
( ( X0
!= ( set_intersection2 @ ( cartesian_product2 @ sk__4 @ sk__5 ) @ X1 ) )
| ( in @ sk__3 @ X0 )
| ~ ( in @ sk__3 @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl14,zip_derived_cl2]) ).
thf(zip_derived_cl101,plain,
! [X0: $i] :
( ~ ( in @ sk__3 @ X0 )
| ( in @ sk__3 @ ( set_intersection2 @ ( cartesian_product2 @ sk__4 @ sk__5 ) @ X0 ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl76]) ).
thf(zip_derived_cl12,plain,
~ ( in @ sk__3 @ ( cartesian_product2 @ ( set_intersection2 @ sk__4 @ sk__6 ) @ ( set_intersection2 @ sk__5 @ sk__7 ) ) ),
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_cl11,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_cl170,plain,
~ ( in @ sk__3 @ ( set_intersection2 @ ( cartesian_product2 @ sk__4 @ sk__5 ) @ ( cartesian_product2 @ sk__6 @ sk__7 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl12,zip_derived_cl11]) ).
thf(zip_derived_cl186,plain,
~ ( in @ sk__3 @ ( cartesian_product2 @ sk__6 @ sk__7 ) ),
inference('sup-',[status(thm)],[zip_derived_cl101,zip_derived_cl170]) ).
thf(zip_derived_cl13,plain,
in @ sk__3 @ ( cartesian_product2 @ sk__6 @ sk__7 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl187,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl186,zip_derived_cl13]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : SET983+1 : TPTP v8.1.2. Released v3.2.0.
% 0.08/0.15 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.72jQRHqG8t true
% 0.16/0.36 % Computer : n009.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 300
% 0.16/0.36 % DateTime : Sat Aug 26 12:43:20 EDT 2023
% 0.16/0.36 % CPUTime :
% 0.16/0.36 % Running portfolio for 300 s
% 0.16/0.36 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/0.37 % Number of cores: 8
% 0.16/0.37 % Python version: Python 3.6.8
% 0.16/0.37 % Running in FO mode
% 0.57/0.66 % Total configuration time : 435
% 0.57/0.66 % Estimated wc time : 1092
% 0.57/0.66 % Estimated cpu time (7 cpus) : 156.0
% 0.60/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.60/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.60/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.60/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.60/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.60/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.60/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.61/0.81 % Solved by fo/fo3_bce.sh.
% 0.61/0.81 % BCE start: 15
% 0.61/0.81 % BCE eliminated: 0
% 0.61/0.81 % PE start: 15
% 0.61/0.81 logic: eq
% 0.61/0.81 % PE eliminated: 1
% 0.61/0.81 % done 66 iterations in 0.030s
% 0.61/0.81 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.61/0.81 % SZS output start Refutation
% See solution above
% 0.61/0.81
% 0.61/0.81
% 0.61/0.81 % Terminating...
% 0.65/0.87 % Runner terminated.
% 0.65/0.88 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------