%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET964+1 : TPTP v9.2.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.3vPiem2aAm 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 Oct 2 04:53:14 PM UTC 2025
% Result : Theorem 6.74s 1.61s
% Output : Refutation 6.74s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 4
% Syntax : Number of formulae : 39 ( 5 unt; 0 typ; 0 def)
% Number of atoms : 100 ( 6 equ; 0 cnn)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 418 ( 48 ~; 39 |; 5 &; 309 @)
% ( 3 <=>; 1 =>; 13 <=; 0 <~>)
% Maximal formula depth : 13 ( 8 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 12 ( 10 usr; 5 con; 0-2 aty)
% Number of variables : 69 ( 0 ^; 69 !; 0 ?; 69 :)
% Comments :
%------------------------------------------------------------------------------
thf(sk__10_type,type,
sk__10: $i ).
thf(ordered_pair_type,type,
ordered_pair: $i > $i > $i ).
thf(sk__9_type,type,
sk__9: $i ).
thf(sk__6_type,type,
sk__6: $i > $i > $i ).
thf(empty_set_type,type,
empty_set: $i ).
thf(in_type,type,
in: $i > $i > $o ).
thf(sk__11_type,type,
sk__11: $i ).
thf(sk__type,type,
sk_: $i > $i ).
thf(subset_type,type,
subset: $i > $i > $o ).
thf(cartesian_product2_type,type,
cartesian_product2: $i > $i > $i ).
thf(d3_tarski,axiom,
! [A: $i,B: $i] :
( ( subset @ A @ B )
<=> ! [C: $i] :
( ( in @ C @ A )
=> ( in @ C @ B ) ) ) ).
thf(zip_derived_cl14,plain,
! [X0: $i,X1: $i] :
( ( subset @ X0 @ X1 )
| ( in @ ( sk__6 @ X1 @ X0 ) @ X0 ) ),
inference(cnf,[status(esa)],[d3_tarski]) ).
thf(t117_zfmisc_1,conjecture,
! [A: $i,B: $i,C: $i] :
~ ( ( A != empty_set )
& ( ( subset @ ( cartesian_product2 @ B @ A ) @ ( cartesian_product2 @ C @ A ) )
| ( subset @ ( cartesian_product2 @ A @ B ) @ ( cartesian_product2 @ A @ C ) ) )
& ~ ( subset @ B @ C ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [A: $i,B: $i,C: $i] :
~ ( ( A != empty_set )
& ( ( subset @ ( cartesian_product2 @ B @ A ) @ ( cartesian_product2 @ C @ A ) )
| ( subset @ ( cartesian_product2 @ A @ B ) @ ( cartesian_product2 @ A @ C ) ) )
& ~ ( subset @ B @ C ) ),
inference('cnf.neg',[status(esa)],[t117_zfmisc_1]) ).
thf(zip_derived_cl24,plain,
( ( subset @ ( cartesian_product2 @ sk__10 @ sk__9 ) @ ( cartesian_product2 @ sk__11 @ sk__9 ) )
| ( subset @ ( cartesian_product2 @ sk__9 @ sk__10 ) @ ( cartesian_product2 @ sk__9 @ sk__11 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl28,plain,
( ( subset @ ( cartesian_product2 @ sk__10 @ sk__9 ) @ ( cartesian_product2 @ sk__11 @ sk__9 ) )
<= ( subset @ ( cartesian_product2 @ sk__10 @ sk__9 ) @ ( cartesian_product2 @ sk__11 @ sk__9 ) ) ),
inference(split,[status(esa)],[zip_derived_cl24]) ).
thf(zip_derived_cl12,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( in @ X0 @ X1 )
| ( in @ X0 @ X2 )
| ~ ( subset @ X1 @ X2 ) ),
inference(cnf,[status(esa)],[d3_tarski]) ).
thf(zip_derived_cl40,plain,
( ! [X0: $i] :
( ~ ( in @ X0 @ ( cartesian_product2 @ sk__10 @ sk__9 ) )
| ( in @ X0 @ ( cartesian_product2 @ sk__11 @ sk__9 ) ) )
<= ( subset @ ( cartesian_product2 @ sk__10 @ sk__9 ) @ ( cartesian_product2 @ sk__11 @ sk__9 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl28,zip_derived_cl12]) ).
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_cl18,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_cl224,plain,
( ! [X0: $i,X1: $i] :
( ~ ( in @ ( ordered_pair @ X1 @ X0 ) @ ( cartesian_product2 @ sk__10 @ sk__9 ) )
| ( in @ X1 @ sk__11 ) )
<= ( subset @ ( cartesian_product2 @ sk__10 @ sk__9 ) @ ( cartesian_product2 @ sk__11 @ sk__9 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl40,zip_derived_cl18]) ).
thf(zip_derived_cl20,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_cl303,plain,
( ! [X0: $i,X1: $i] :
( ( in @ X1 @ sk__11 )
| ~ ( in @ X0 @ sk__9 )
| ~ ( in @ X1 @ sk__10 ) )
<= ( subset @ ( cartesian_product2 @ sk__10 @ sk__9 ) @ ( cartesian_product2 @ sk__11 @ sk__9 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl224,zip_derived_cl20]) ).
thf(zip_derived_cl307,plain,
( ! [X1: $i] :
( ( in @ X1 @ sk__11 )
| ~ ( in @ X1 @ sk__10 ) )
<= ! [X1: $i] :
( ( in @ X1 @ sk__11 )
| ~ ( in @ X1 @ sk__10 ) ) ),
inference(split,[status(esa)],[zip_derived_cl303]) ).
thf(zip_derived_cl13,plain,
! [X0: $i,X1: $i] :
( ( subset @ X0 @ X1 )
| ~ ( in @ ( sk__6 @ X1 @ X0 ) @ X1 ) ),
inference(cnf,[status(esa)],[d3_tarski]) ).
thf(zip_derived_cl317,plain,
( ! [X0: $i] :
( ~ ( in @ ( sk__6 @ sk__11 @ X0 ) @ sk__10 )
| ( subset @ X0 @ sk__11 ) )
<= ! [X1: $i] :
( ( in @ X1 @ sk__11 )
| ~ ( in @ X1 @ sk__10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl307,zip_derived_cl13]) ).
thf(zip_derived_cl397,plain,
( ( ( subset @ sk__10 @ sk__11 )
| ( subset @ sk__10 @ sk__11 ) )
<= ! [X1: $i] :
( ( in @ X1 @ sk__11 )
| ~ ( in @ X1 @ sk__10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl14,zip_derived_cl317]) ).
thf(zip_derived_cl398,plain,
( ( subset @ sk__10 @ sk__11 )
<= ! [X1: $i] :
( ( in @ X1 @ sk__11 )
| ~ ( in @ X1 @ sk__10 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl397]) ).
thf(zip_derived_cl25,plain,
~ ( subset @ sk__10 @ sk__11 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('0',plain,
~ ! [X1: $i] :
( ( in @ X1 @ sk__11 )
| ~ ( in @ X1 @ sk__10 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl398,zip_derived_cl25]) ).
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_cl308,plain,
( ! [X0: $i] :
~ ( in @ X0 @ sk__9 )
<= ! [X0: $i] :
~ ( in @ X0 @ sk__9 ) ),
inference(split,[status(esa)],[zip_derived_cl303]) ).
thf(zip_derived_cl321,plain,
( ( sk__9 = empty_set )
<= ! [X0: $i] :
~ ( in @ X0 @ sk__9 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl308]) ).
thf(zip_derived_cl26,plain,
sk__9 != empty_set,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('1',plain,
~ ! [X0: $i] :
~ ( in @ X0 @ sk__9 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl321,zip_derived_cl26]) ).
thf(zip_derived_cl27,plain,
( ( subset @ ( cartesian_product2 @ sk__9 @ sk__10 ) @ ( cartesian_product2 @ sk__9 @ sk__11 ) )
<= ( subset @ ( cartesian_product2 @ sk__9 @ sk__10 ) @ ( cartesian_product2 @ sk__9 @ sk__11 ) ) ),
inference(split,[status(esa)],[zip_derived_cl24]) ).
thf(zip_derived_cl12_001,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( in @ X0 @ X1 )
| ( in @ X0 @ X2 )
| ~ ( subset @ X1 @ X2 ) ),
inference(cnf,[status(esa)],[d3_tarski]) ).
thf(zip_derived_cl39,plain,
( ! [X0: $i] :
( ~ ( in @ X0 @ ( cartesian_product2 @ sk__9 @ sk__10 ) )
| ( in @ X0 @ ( cartesian_product2 @ sk__9 @ sk__11 ) ) )
<= ( subset @ ( cartesian_product2 @ sk__9 @ sk__10 ) @ ( cartesian_product2 @ sk__9 @ sk__11 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl27,zip_derived_cl12]) ).
thf(zip_derived_cl19,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_cl247,plain,
( ! [X0: $i,X1: $i] :
( ~ ( in @ ( ordered_pair @ X1 @ X0 ) @ ( cartesian_product2 @ sk__9 @ sk__10 ) )
| ( in @ X0 @ sk__11 ) )
<= ( subset @ ( cartesian_product2 @ sk__9 @ sk__10 ) @ ( cartesian_product2 @ sk__9 @ sk__11 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl39,zip_derived_cl19]) ).
thf('2',plain,
( ~ ( subset @ ( cartesian_product2 @ sk__10 @ sk__9 ) @ ( cartesian_product2 @ sk__11 @ sk__9 ) )
| ! [X1: $i] :
( ( in @ X1 @ sk__11 )
| ~ ( in @ X1 @ sk__10 ) )
| ! [X0: $i] :
~ ( in @ X0 @ sk__9 ) ),
inference(split,[status(esa)],[zip_derived_cl303]) ).
thf('3',plain,
( ( subset @ ( cartesian_product2 @ sk__9 @ sk__10 ) @ ( cartesian_product2 @ sk__9 @ sk__11 ) )
| ( subset @ ( cartesian_product2 @ sk__10 @ sk__9 ) @ ( cartesian_product2 @ sk__11 @ sk__9 ) ) ),
inference(split,[status(esa)],[zip_derived_cl24]) ).
thf('4',plain,
subset @ ( cartesian_product2 @ sk__9 @ sk__10 ) @ ( cartesian_product2 @ sk__9 @ sk__11 ),
inference('sat_resolution*',[status(thm)],['1','0','2','3']) ).
thf(zip_derived_cl414,plain,
! [X0: $i,X1: $i] :
( ~ ( in @ ( ordered_pair @ X1 @ X0 ) @ ( cartesian_product2 @ sk__9 @ sk__10 ) )
| ( in @ X0 @ sk__11 ) ),
inference(simpl_trail,[status(thm)],[zip_derived_cl247,'4']) ).
thf(zip_derived_cl20_002,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_cl433,plain,
! [X0: $i,X1: $i] :
( ( in @ X0 @ sk__11 )
| ~ ( in @ X0 @ sk__10 )
| ~ ( in @ X1 @ sk__9 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl414,zip_derived_cl20]) ).
thf('5',plain,
( ! [X0: $i] :
~ ( in @ X0 @ sk__9 )
| ! [X1: $i] :
( ( in @ X1 @ sk__11 )
| ~ ( in @ X1 @ sk__10 ) ) ),
inference(split,[status(esa)],[zip_derived_cl433]) ).
thf(zip_derived_cl3199,plain,
$false,
inference('sat_resolution*',[status(thm)],['0','1','5']) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : SET964+1 : TPTP v9.2.0. Released v3.2.0.
% 0.04/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.3vPiem2aAm true
% 0.15/0.35 % Computer : n008.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 : Wed Oct 1 13:11:38 EDT 2025
% 0.15/0.36 % CPUTime :
% 0.15/0.36 % Running portfolio for 300 s
% 0.15/0.36 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.36 % Number of cores: 8
% 0.21/0.36 % Python version: Python 3.6.8
% 0.21/0.36 % Running in FO mode
% 0.59/0.69 % Total configuration time : 435
% 0.59/0.69 % Estimated wc time : 1092
% 0.59/0.69 % Estimated cpu time (7 cpus) : 156.0
% 0.59/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.59/0.79 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.59/0.79 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.59/0.79 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.59/0.80 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.59/0.80 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.59/0.80 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 6.74/1.61 % Solved by fo/fo1_av.sh.
% 6.74/1.61 % done 623 iterations in 0.793s
% 6.74/1.61 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 6.74/1.61 % SZS output start Refutation
% See solution above
% 6.74/1.61
% 6.74/1.61
% 6.74/1.61 % Terminating...
% 7.05/1.72 % Runner terminated.
% 7.05/1.73 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------