TSTP Solution File: SET977+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET977+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.spevNlrgRX true
% Computer : n010.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 16:17:04 EDT 2023
% Result : Theorem 1.58s 0.86s
% Output : Refutation 1.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 12
% Syntax : Number of formulae : 33 ( 8 unt; 8 typ; 0 def)
% Number of atoms : 49 ( 24 equ; 0 cnn)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 162 ( 24 ~; 15 |; 4 &; 114 @)
% ( 3 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 8 ( 8 >; 0 *; 0 +; 0 <<)
% Number of symbols : 10 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 38 ( 0 ^; 38 !; 0 ?; 38 :)
% Comments :
%------------------------------------------------------------------------------
thf(ordered_pair_type,type,
ordered_pair: $i > $i > $i ).
thf(cartesian_product2_type,type,
cartesian_product2: $i > $i > $i ).
thf(singleton_type,type,
singleton: $i > $i ).
thf(sk__4_type,type,
sk__4: $i ).
thf(empty_set_type,type,
empty_set: $i ).
thf(in_type,type,
in: $i > $i > $o ).
thf(sk__type,type,
sk_: $i > $i ).
thf(sk__3_type,type,
sk__3: $i ).
thf(d1_xboole_0,axiom,
! [A: $i] :
( ( A = empty_set )
<=> ! [B: $i] :
~ ( in @ B @ A ) ) ).
thf(zip_derived_cl3,plain,
! [X0: $i] :
( ( X0 = empty_set )
| ( in @ ( sk_ @ X0 ) @ X0 ) ),
inference(cnf,[status(esa)],[d1_xboole_0]) ).
thf(zip_derived_cl3_001,plain,
! [X0: $i] :
( ( X0 = empty_set )
| ( in @ ( sk_ @ X0 ) @ X0 ) ),
inference(cnf,[status(esa)],[d1_xboole_0]) ).
thf(t130_zfmisc_1,conjecture,
! [A: $i,B: $i] :
( ( A != empty_set )
=> ( ( ( cartesian_product2 @ ( singleton @ B ) @ A )
!= empty_set )
& ( ( cartesian_product2 @ A @ ( singleton @ B ) )
!= empty_set ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [A: $i,B: $i] :
( ( A != empty_set )
=> ( ( ( cartesian_product2 @ ( singleton @ B ) @ A )
!= empty_set )
& ( ( cartesian_product2 @ A @ ( singleton @ B ) )
!= empty_set ) ) ),
inference('cnf.neg',[status(esa)],[t130_zfmisc_1]) ).
thf(zip_derived_cl15,plain,
( ( ( cartesian_product2 @ ( singleton @ sk__4 ) @ sk__3 )
= empty_set )
| ( ( cartesian_product2 @ sk__3 @ ( singleton @ sk__4 ) )
= empty_set ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(t128_zfmisc_1,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ( in @ ( ordered_pair @ A @ B ) @ ( cartesian_product2 @ ( singleton @ C ) @ D ) )
<=> ( ( A = C )
& ( in @ B @ D ) ) ) ).
thf(zip_derived_cl11,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( in @ ( ordered_pair @ X0 @ X1 ) @ ( cartesian_product2 @ ( singleton @ X2 ) @ X3 ) )
| ~ ( in @ X1 @ X3 )
| ( X0 != X2 ) ),
inference(cnf,[status(esa)],[t128_zfmisc_1]) ).
thf(zip_derived_cl89,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( in @ X1 @ X0 )
| ( in @ ( ordered_pair @ X2 @ X1 ) @ ( cartesian_product2 @ ( singleton @ X2 ) @ X0 ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl11]) ).
thf(zip_derived_cl135,plain,
! [X0: $i] :
( ( ( cartesian_product2 @ sk__3 @ ( singleton @ sk__4 ) )
= empty_set )
| ~ ( in @ X0 @ sk__3 )
| ( in @ ( ordered_pair @ sk__4 @ X0 ) @ empty_set ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl15,zip_derived_cl89]) ).
thf(zip_derived_cl2,plain,
! [X0: $i,X1: $i] :
( ~ ( in @ X0 @ X1 )
| ( X1 != empty_set ) ),
inference(cnf,[status(esa)],[d1_xboole_0]) ).
thf(zip_derived_cl68,plain,
! [X0: $i] :
~ ( in @ X0 @ empty_set ),
inference(eq_res,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl136,plain,
! [X0: $i] :
( ~ ( in @ X0 @ sk__3 )
| ( ( cartesian_product2 @ sk__3 @ ( singleton @ sk__4 ) )
= empty_set ) ),
inference(clc,[status(thm)],[zip_derived_cl135,zip_derived_cl68]) ).
thf(zip_derived_cl137,plain,
( ( sk__3 = empty_set )
| ( ( cartesian_product2 @ sk__3 @ ( singleton @ sk__4 ) )
= empty_set ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl136]) ).
thf(zip_derived_cl16,plain,
sk__3 != empty_set,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl138,plain,
( ( cartesian_product2 @ sk__3 @ ( singleton @ sk__4 ) )
= empty_set ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl137,zip_derived_cl16]) ).
thf(t129_zfmisc_1,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ( in @ ( ordered_pair @ A @ B ) @ ( cartesian_product2 @ C @ ( singleton @ D ) ) )
<=> ( ( in @ A @ C )
& ( B = D ) ) ) ).
thf(zip_derived_cl14,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( in @ ( ordered_pair @ X0 @ X1 ) @ ( cartesian_product2 @ X2 @ ( singleton @ X3 ) ) )
| ( X1 != X3 )
| ~ ( in @ X0 @ X2 ) ),
inference(cnf,[status(esa)],[t129_zfmisc_1]) ).
thf(zip_derived_cl90,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( in @ X1 @ X0 )
| ( in @ ( ordered_pair @ X1 @ X2 ) @ ( cartesian_product2 @ X0 @ ( singleton @ X2 ) ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl14]) ).
thf(zip_derived_cl211,plain,
! [X0: $i] :
( ~ ( in @ X0 @ sk__3 )
| ( in @ ( ordered_pair @ X0 @ sk__4 ) @ empty_set ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl138,zip_derived_cl90]) ).
thf(zip_derived_cl68_002,plain,
! [X0: $i] :
~ ( in @ X0 @ empty_set ),
inference(eq_res,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl213,plain,
! [X0: $i] :
~ ( in @ X0 @ sk__3 ),
inference(clc,[status(thm)],[zip_derived_cl211,zip_derived_cl68]) ).
thf(zip_derived_cl214,plain,
sk__3 = empty_set,
inference('s_sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl213]) ).
thf(zip_derived_cl16_003,plain,
sk__3 != empty_set,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl215,plain,
$false,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl214,zip_derived_cl16]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SET977+1 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.spevNlrgRX true
% 0.15/0.35 % Computer : n010.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Sat Aug 26 09:22:05 EDT 2023
% 0.15/0.35 % CPUTime :
% 0.15/0.35 % Running portfolio for 300 s
% 0.15/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.35 % Number of cores: 8
% 0.22/0.36 % Python version: Python 3.6.8
% 0.22/0.36 % Running in FO mode
% 0.22/0.64 % Total configuration time : 435
% 0.22/0.64 % Estimated wc time : 1092
% 0.22/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.98/0.79 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.98/0.80 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.98/0.80 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.98/0.82 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 1.58/0.83 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 1.58/0.84 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 1.58/0.84 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.58/0.86 % Solved by fo/fo6_bce.sh.
% 1.58/0.86 % BCE start: 17
% 1.58/0.86 % BCE eliminated: 0
% 1.58/0.86 % PE start: 17
% 1.58/0.86 logic: eq
% 1.58/0.86 % PE eliminated: 0
% 1.58/0.86 % done 56 iterations in 0.038s
% 1.58/0.86 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.58/0.86 % SZS output start Refutation
% See solution above
% 1.58/0.86
% 1.58/0.86
% 1.58/0.86 % Terminating...
% 1.89/0.97 % Runner terminated.
% 1.89/0.98 % Zipperpin 1.5 exiting
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