TSTP Solution File: SET974+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET974+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.TWJhkUtlhR true
% Computer : n029.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 16:17:03 EDT 2023
% Result : Theorem 0.23s 0.78s
% Output : Refutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 15
% Syntax : Number of formulae : 33 ( 6 unt; 12 typ; 0 def)
% Number of atoms : 42 ( 1 equ; 0 cnn)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 214 ( 23 ~; 13 |; 6 &; 170 @)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 9 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 22 ( 22 >; 0 *; 0 +; 0 <<)
% Number of symbols : 14 ( 12 usr; 5 con; 0-5 aty)
% Number of variables : 57 ( 0 ^; 56 !; 1 ?; 57 :)
% Comments :
%------------------------------------------------------------------------------
thf(set_intersection2_type,type,
set_intersection2: $i > $i > $i ).
thf(sk__4_type,type,
sk__4: $i ).
thf(sk__5_type,type,
sk__5: $i ).
thf(disjoint_type,type,
disjoint: $i > $i > $o ).
thf(in_type,type,
in: $i > $i > $o ).
thf(sk__8_type,type,
sk__8: $i > $i > $i ).
thf(sk__6_type,type,
sk__6: $i ).
thf(sk__3_type,type,
sk__3: $i > $i > $i > $i > $i > $i ).
thf(sk__7_type,type,
sk__7: $i ).
thf(cartesian_product2_type,type,
cartesian_product2: $i > $i > $i ).
thf(sk__2_type,type,
sk__2: $i > $i > $i > $i > $i > $i ).
thf(ordered_pair_type,type,
ordered_pair: $i > $i > $i ).
thf(t4_xboole_0,axiom,
! [A: $i,B: $i] :
( ~ ( ? [C: $i] : ( in @ C @ ( set_intersection2 @ A @ B ) )
& ( disjoint @ A @ B ) )
& ~ ( ~ ( disjoint @ A @ B )
& ! [C: $i] :
~ ( in @ C @ ( set_intersection2 @ A @ B ) ) ) ) ).
thf(zip_derived_cl14,plain,
! [X0: $i,X1: $i] :
( ( disjoint @ X0 @ X1 )
| ( in @ ( sk__8 @ X1 @ X0 ) @ ( set_intersection2 @ X0 @ X1 ) ) ),
inference(cnf,[status(esa)],[t4_xboole_0]) ).
thf(t104_zfmisc_1,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
~ ( ( in @ A @ ( set_intersection2 @ ( cartesian_product2 @ B @ C ) @ ( cartesian_product2 @ D @ E ) ) )
& ! [F: $i,G: $i] :
~ ( ( A
= ( ordered_pair @ F @ G ) )
& ( in @ F @ ( set_intersection2 @ B @ D ) )
& ( in @ G @ ( set_intersection2 @ C @ E ) ) ) ) ).
thf(zip_derived_cl10,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ ( in @ X0 @ ( set_intersection2 @ ( cartesian_product2 @ X1 @ X2 ) @ ( cartesian_product2 @ X3 @ X4 ) ) )
| ( in @ ( sk__3 @ X4 @ X3 @ X2 @ X1 @ X0 ) @ ( set_intersection2 @ X2 @ X4 ) ) ),
inference(cnf,[status(esa)],[t104_zfmisc_1]) ).
thf(zip_derived_cl15,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( in @ X0 @ ( set_intersection2 @ X1 @ X2 ) )
| ~ ( disjoint @ X1 @ X2 ) ),
inference(cnf,[status(esa)],[t4_xboole_0]) ).
thf(zip_derived_cl95,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ ( in @ X2 @ ( set_intersection2 @ ( cartesian_product2 @ X3 @ X1 ) @ ( cartesian_product2 @ X4 @ X0 ) ) )
| ~ ( disjoint @ X1 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl10,zip_derived_cl15]) ).
thf(zip_derived_cl123,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( disjoint @ ( cartesian_product2 @ X3 @ X2 ) @ ( cartesian_product2 @ X1 @ X0 ) )
| ~ ( disjoint @ X2 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl14,zip_derived_cl95]) ).
thf(t127_zfmisc_1,conjecture,
! [A: $i,B: $i,C: $i,D: $i] :
( ( ( disjoint @ A @ B )
| ( disjoint @ C @ D ) )
=> ( disjoint @ ( cartesian_product2 @ A @ C ) @ ( cartesian_product2 @ B @ D ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [A: $i,B: $i,C: $i,D: $i] :
( ( ( disjoint @ A @ B )
| ( disjoint @ C @ D ) )
=> ( disjoint @ ( cartesian_product2 @ A @ C ) @ ( cartesian_product2 @ B @ D ) ) ),
inference('cnf.neg',[status(esa)],[t127_zfmisc_1]) ).
thf(zip_derived_cl13,plain,
~ ( disjoint @ ( cartesian_product2 @ sk__4 @ sk__6 ) @ ( cartesian_product2 @ sk__5 @ sk__7 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl148,plain,
~ ( disjoint @ sk__6 @ sk__7 ),
inference('s_sup-',[status(thm)],[zip_derived_cl123,zip_derived_cl13]) ).
thf(zip_derived_cl12,plain,
( ( disjoint @ sk__4 @ sk__5 )
| ( disjoint @ sk__6 @ sk__7 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl14_001,plain,
! [X0: $i,X1: $i] :
( ( disjoint @ X0 @ X1 )
| ( in @ ( sk__8 @ X1 @ X0 ) @ ( set_intersection2 @ X0 @ X1 ) ) ),
inference(cnf,[status(esa)],[t4_xboole_0]) ).
thf(zip_derived_cl9,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ ( in @ X0 @ ( set_intersection2 @ ( cartesian_product2 @ X1 @ X2 ) @ ( cartesian_product2 @ X3 @ X4 ) ) )
| ( in @ ( sk__2 @ X4 @ X3 @ X2 @ X1 @ X0 ) @ ( set_intersection2 @ X1 @ X3 ) ) ),
inference(cnf,[status(esa)],[t104_zfmisc_1]) ).
thf(zip_derived_cl15_002,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( in @ X0 @ ( set_intersection2 @ X1 @ X2 ) )
| ~ ( disjoint @ X1 @ X2 ) ),
inference(cnf,[status(esa)],[t4_xboole_0]) ).
thf(zip_derived_cl80,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ ( in @ X2 @ ( set_intersection2 @ ( cartesian_product2 @ X1 @ X3 ) @ ( cartesian_product2 @ X0 @ X4 ) ) )
| ~ ( disjoint @ X1 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl9,zip_derived_cl15]) ).
thf(zip_derived_cl121,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( disjoint @ ( cartesian_product2 @ X3 @ X2 ) @ ( cartesian_product2 @ X1 @ X0 ) )
| ~ ( disjoint @ X3 @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl14,zip_derived_cl80]) ).
thf(zip_derived_cl13_003,plain,
~ ( disjoint @ ( cartesian_product2 @ sk__4 @ sk__6 ) @ ( cartesian_product2 @ sk__5 @ sk__7 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl140,plain,
~ ( disjoint @ sk__4 @ sk__5 ),
inference('s_sup-',[status(thm)],[zip_derived_cl121,zip_derived_cl13]) ).
thf(zip_derived_cl143,plain,
disjoint @ sk__6 @ sk__7,
inference(demod,[status(thm)],[zip_derived_cl12,zip_derived_cl140]) ).
thf(zip_derived_cl149,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl148,zip_derived_cl143]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : SET974+1 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.15 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.TWJhkUtlhR true
% 0.15/0.36 % Computer : n029.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Sat Aug 26 13:01:10 EDT 2023
% 0.23/0.37 % CPUTime :
% 0.23/0.37 % Running portfolio for 300 s
% 0.23/0.37 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.23/0.37 % Number of cores: 8
% 0.23/0.37 % Python version: Python 3.6.8
% 0.23/0.37 % Running in FO mode
% 0.23/0.67 % Total configuration time : 435
% 0.23/0.67 % Estimated wc time : 1092
% 0.23/0.67 % Estimated cpu time (7 cpus) : 156.0
% 0.23/0.72 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.23/0.74 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.23/0.76 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.23/0.78 % Solved by fo/fo6_bce.sh.
% 0.23/0.78 % BCE start: 16
% 0.23/0.78 % BCE eliminated: 0
% 0.23/0.78 % PE start: 16
% 0.23/0.78 logic: eq
% 0.23/0.78 % PE eliminated: 1
% 0.23/0.78 % done 45 iterations in 0.027s
% 0.23/0.78 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.23/0.78 % SZS output start Refutation
% See solution above
% 0.23/0.78
% 0.23/0.78
% 0.23/0.78 % Terminating...
% 0.83/0.88 % Runner terminated.
% 0.83/0.90 % Zipperpin 1.5 exiting
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