TSTP Solution File: SET961+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET961+1 : TPTP v8.1.2. Bugfixed v4.0.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.Fm060c1veh true
% Computer : n008.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 16:17:00 EDT 2023
% Result : Theorem 0.20s 0.79s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 12
% Syntax : Number of formulae : 49 ( 13 unt; 8 typ; 0 def)
% Number of atoms : 87 ( 30 equ; 0 cnn)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 264 ( 29 ~; 39 |; 1 &; 189 @)
% ( 3 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 9 ( 9 >; 0 *; 0 +; 0 <<)
% Number of symbols : 10 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 53 ( 0 ^; 53 !; 0 ?; 53 :)
% Comments :
%------------------------------------------------------------------------------
thf(ordered_pair_type,type,
ordered_pair: $i > $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(cartesian_product2_type,type,
cartesian_product2: $i > $i > $i ).
thf(sk__5_type,type,
sk__5: $i > $i > $i ).
thf(sk__3_type,type,
sk__3: $i ).
thf(sk__type,type,
sk_: $i > $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(l55_zfmisc_1,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ( in @ ( ordered_pair @ A @ B ) @ ( cartesian_product2 @ C @ D ) )
<=> ( ( in @ A @ C )
& ( in @ B @ D ) ) ) ).
thf(zip_derived_cl9,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( in @ ( ordered_pair @ X0 @ X1 ) @ ( cartesian_product2 @ X2 @ X3 ) )
| ~ ( in @ X1 @ X3 )
| ~ ( in @ X0 @ X2 ) ),
inference(cnf,[status(esa)],[l55_zfmisc_1]) ).
thf(t114_zfmisc_1,conjecture,
! [A: $i,B: $i] :
( ( ( cartesian_product2 @ A @ B )
= ( cartesian_product2 @ B @ A ) )
=> ( ( A = empty_set )
| ( B = empty_set )
| ( A = B ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [A: $i,B: $i] :
( ( ( cartesian_product2 @ A @ B )
= ( cartesian_product2 @ B @ A ) )
=> ( ( A = empty_set )
| ( B = empty_set )
| ( A = B ) ) ),
inference('cnf.neg',[status(esa)],[t114_zfmisc_1]) ).
thf(zip_derived_cl14,plain,
( ( cartesian_product2 @ sk__3 @ sk__4 )
= ( cartesian_product2 @ sk__4 @ sk__3 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl7,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( in @ X0 @ X1 )
| ~ ( in @ ( ordered_pair @ X0 @ X2 ) @ ( cartesian_product2 @ X1 @ X3 ) ) ),
inference(cnf,[status(esa)],[l55_zfmisc_1]) ).
thf(zip_derived_cl74,plain,
! [X0: $i,X1: $i] :
( ( in @ X1 @ sk__4 )
| ~ ( in @ ( ordered_pair @ X1 @ X0 ) @ ( cartesian_product2 @ sk__3 @ sk__4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl14,zip_derived_cl7]) ).
thf(zip_derived_cl94,plain,
! [X0: $i,X1: $i] :
( ~ ( in @ X1 @ sk__3 )
| ~ ( in @ X0 @ sk__4 )
| ( in @ X1 @ sk__4 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl9,zip_derived_cl74]) ).
thf(zip_derived_cl96,plain,
! [X0: $i] :
( ( sk__3 = empty_set )
| ~ ( in @ X0 @ sk__4 )
| ( in @ ( sk_ @ sk__3 ) @ sk__4 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl94]) ).
thf(zip_derived_cl15,plain,
sk__3 != empty_set,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl97,plain,
! [X0: $i] :
( ~ ( in @ X0 @ sk__4 )
| ( in @ ( sk_ @ sk__3 ) @ sk__4 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl96,zip_derived_cl15]) ).
thf(zip_derived_cl98,plain,
( ( sk__4 = empty_set )
| ( in @ ( sk_ @ sk__3 ) @ sk__4 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl97]) ).
thf(zip_derived_cl13,plain,
sk__4 != empty_set,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl100,plain,
in @ ( sk_ @ sk__3 ) @ sk__4,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl98,zip_derived_cl13]) ).
thf(t2_tarski,axiom,
! [A: $i,B: $i] :
( ! [C: $i] :
( ( in @ C @ A )
<=> ( in @ C @ B ) )
=> ( A = B ) ) ).
thf(zip_derived_cl17,plain,
! [X0: $i,X1: $i] :
( ( X1 = X0 )
| ( in @ ( sk__5 @ X0 @ X1 ) @ X0 )
| ( in @ ( sk__5 @ X0 @ X1 ) @ X1 ) ),
inference(cnf,[status(esa)],[t2_tarski]) ).
thf(zip_derived_cl94_002,plain,
! [X0: $i,X1: $i] :
( ~ ( in @ X1 @ sk__3 )
| ~ ( in @ X0 @ sk__4 )
| ( in @ X1 @ sk__4 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl9,zip_derived_cl74]) ).
thf(zip_derived_cl104,plain,
! [X0: $i,X1: $i] :
( ( in @ ( sk__5 @ sk__3 @ X0 ) @ X0 )
| ( X0 = sk__3 )
| ~ ( in @ X1 @ sk__4 )
| ( in @ ( sk__5 @ sk__3 @ X0 ) @ sk__4 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl17,zip_derived_cl94]) ).
thf(zip_derived_cl164,plain,
! [X0: $i] :
( ( in @ ( sk__5 @ sk__3 @ X0 ) @ X0 )
| ( X0 = sk__3 )
| ( in @ ( sk__5 @ sk__3 @ X0 ) @ sk__4 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl100,zip_derived_cl104]) ).
thf(zip_derived_cl363,plain,
( ( sk__4 = sk__3 )
| ( in @ ( sk__5 @ sk__3 @ sk__4 ) @ sk__4 ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl164]) ).
thf(zip_derived_cl12,plain,
sk__3 != sk__4,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl364,plain,
in @ ( sk__5 @ sk__3 @ sk__4 ) @ sk__4,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl363,zip_derived_cl12]) ).
thf(zip_derived_cl3_003,plain,
! [X0: $i] :
( ( X0 = empty_set )
| ( in @ ( sk_ @ X0 ) @ X0 ) ),
inference(cnf,[status(esa)],[d1_xboole_0]) ).
thf(zip_derived_cl9_004,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( in @ ( ordered_pair @ X0 @ X1 ) @ ( cartesian_product2 @ X2 @ X3 ) )
| ~ ( in @ X1 @ X3 )
| ~ ( in @ X0 @ X2 ) ),
inference(cnf,[status(esa)],[l55_zfmisc_1]) ).
thf(zip_derived_cl14_005,plain,
( ( cartesian_product2 @ sk__3 @ sk__4 )
= ( cartesian_product2 @ sk__4 @ sk__3 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl8,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( in @ X0 @ X1 )
| ~ ( in @ ( ordered_pair @ X2 @ X0 ) @ ( cartesian_product2 @ X3 @ X1 ) ) ),
inference(cnf,[status(esa)],[l55_zfmisc_1]) ).
thf(zip_derived_cl75,plain,
! [X0: $i,X1: $i] :
( ( in @ X0 @ sk__3 )
| ~ ( in @ ( ordered_pair @ X1 @ X0 ) @ ( cartesian_product2 @ sk__3 @ sk__4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl14,zip_derived_cl8]) ).
thf(zip_derived_cl121,plain,
! [X0: $i,X1: $i] :
( ~ ( in @ X1 @ sk__3 )
| ~ ( in @ X0 @ sk__4 )
| ( in @ X0 @ sk__3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl9,zip_derived_cl75]) ).
thf(zip_derived_cl199,plain,
! [X0: $i] :
( ( sk__3 = empty_set )
| ~ ( in @ X0 @ sk__4 )
| ( in @ X0 @ sk__3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl121]) ).
thf(zip_derived_cl15_006,plain,
sk__3 != empty_set,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl204,plain,
! [X0: $i] :
( ~ ( in @ X0 @ sk__4 )
| ( in @ X0 @ sk__3 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl199,zip_derived_cl15]) ).
thf(zip_derived_cl389,plain,
in @ ( sk__5 @ sk__3 @ sk__4 ) @ sk__3,
inference('s_sup-',[status(thm)],[zip_derived_cl364,zip_derived_cl204]) ).
thf(zip_derived_cl16,plain,
! [X0: $i,X1: $i] :
( ( X1 = X0 )
| ~ ( in @ ( sk__5 @ X0 @ X1 ) @ X0 )
| ~ ( in @ ( sk__5 @ X0 @ X1 ) @ X1 ) ),
inference(cnf,[status(esa)],[t2_tarski]) ).
thf(zip_derived_cl458,plain,
( ( sk__4 = sk__3 )
| ~ ( in @ ( sk__5 @ sk__3 @ sk__4 ) @ sk__4 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl389,zip_derived_cl16]) ).
thf(zip_derived_cl364_007,plain,
in @ ( sk__5 @ sk__3 @ sk__4 ) @ sk__4,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl363,zip_derived_cl12]) ).
thf(zip_derived_cl459,plain,
sk__4 = sk__3,
inference(demod,[status(thm)],[zip_derived_cl458,zip_derived_cl364]) ).
thf(zip_derived_cl12_008,plain,
sk__3 != sk__4,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl460,plain,
$false,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl459,zip_derived_cl12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET961+1 : TPTP v8.1.2. Bugfixed v4.0.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.Fm060c1veh true
% 0.13/0.34 % Computer : n008.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sat Aug 26 14:19:02 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % Running in FO mode
% 0.20/0.65 % Total configuration time : 435
% 0.20/0.65 % Estimated wc time : 1092
% 0.20/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.69 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.70 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.20/0.72 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.20/0.74 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.20/0.74 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.20/0.74 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.20/0.74 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.20/0.79 % Solved by fo/fo6_bce.sh.
% 0.20/0.79 % BCE start: 18
% 0.20/0.79 % BCE eliminated: 0
% 0.20/0.79 % PE start: 18
% 0.20/0.79 logic: eq
% 0.20/0.79 % PE eliminated: 0
% 0.20/0.79 % done 119 iterations in 0.060s
% 0.20/0.79 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.20/0.79 % SZS output start Refutation
% See solution above
% 0.20/0.79
% 0.20/0.79
% 0.20/0.79 % Terminating...
% 0.20/0.85 % Runner terminated.
% 0.20/0.86 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------