TSTP Solution File: SEU154+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU154+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.IfEz4GnimI true
% Computer : n018.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 19:10:49 EDT 2023
% Result : Theorem 1.34s 0.84s
% Output : Refutation 1.34s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 17
% Syntax : Number of formulae : 45 ( 11 unt; 9 typ; 0 def)
% Number of atoms : 70 ( 20 equ; 0 cnn)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 226 ( 20 ~; 22 |; 2 &; 172 @)
% ( 7 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 11 ( 11 >; 0 *; 0 +; 0 <<)
% Number of symbols : 11 ( 9 usr; 4 con; 0-2 aty)
% Number of variables : 70 ( 0 ^; 70 !; 0 ?; 70 :)
% Comments :
%------------------------------------------------------------------------------
thf(subset_type,type,
subset: $i > $i > $o ).
thf(disjoint_type,type,
disjoint: $i > $i > $o ).
thf(empty_set_type,type,
empty_set: $i ).
thf(set_intersection2_type,type,
set_intersection2: $i > $i > $i ).
thf(in_type,type,
in: $i > $i > $o ).
thf(singleton_type,type,
singleton: $i > $i ).
thf(sk__1_type,type,
sk__1: $i > $i > $i ).
thf(sk__3_type,type,
sk__3: $i ).
thf(sk__4_type,type,
sk__4: $i ).
thf(l28_zfmisc_1,conjecture,
! [A: $i,B: $i] :
( ~ ( in @ A @ B )
=> ( disjoint @ ( singleton @ A ) @ B ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [A: $i,B: $i] :
( ~ ( in @ A @ B )
=> ( disjoint @ ( singleton @ A ) @ B ) ),
inference('cnf.neg',[status(esa)],[l28_zfmisc_1]) ).
thf(zip_derived_cl25,plain,
~ ( in @ sk__3 @ sk__4 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(d3_tarski,axiom,
! [A: $i,B: $i] :
( ( subset @ A @ B )
<=> ! [C: $i] :
( ( in @ C @ A )
=> ( in @ C @ B ) ) ) ).
thf(zip_derived_cl11,plain,
! [X0: $i,X1: $i] :
( ( subset @ X0 @ X1 )
| ( in @ ( sk__1 @ X1 @ X0 ) @ X0 ) ),
inference(cnf,[status(esa)],[d3_tarski]) ).
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_cl13,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( in @ X0 @ X1 )
| ( in @ X0 @ X2 )
| ( X1
!= ( set_intersection2 @ X3 @ X2 ) ) ),
inference(cnf,[status(esa)],[d3_xboole_0]) ).
thf(zip_derived_cl74,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( in @ X1 @ X0 )
| ~ ( in @ X1 @ ( set_intersection2 @ X2 @ X0 ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl13]) ).
thf(zip_derived_cl75,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( subset @ ( set_intersection2 @ X1 @ X0 ) @ X2 )
| ( in @ ( sk__1 @ X2 @ ( set_intersection2 @ X1 @ X0 ) ) @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl11,zip_derived_cl74]) ).
thf(d1_tarski,axiom,
! [A: $i,B: $i] :
( ( B
= ( singleton @ A ) )
<=> ! [C: $i] :
( ( in @ C @ B )
<=> ( C = A ) ) ) ).
thf(zip_derived_cl6,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( in @ X0 @ X1 )
| ( X0 = X2 )
| ( X1
!= ( singleton @ X2 ) ) ),
inference(cnf,[status(esa)],[d1_tarski]) ).
thf(zip_derived_cl36,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ ( in @ X0 @ ( singleton @ X1 ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl6]) ).
thf(zip_derived_cl98,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( subset @ ( set_intersection2 @ X1 @ ( singleton @ X0 ) ) @ X2 )
| ( ( sk__1 @ X2 @ ( set_intersection2 @ X1 @ ( singleton @ X0 ) ) )
= X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl75,zip_derived_cl36]) ).
thf(zip_derived_cl11_001,plain,
! [X0: $i,X1: $i] :
( ( subset @ X0 @ X1 )
| ( in @ ( sk__1 @ X1 @ X0 ) @ X0 ) ),
inference(cnf,[status(esa)],[d3_tarski]) ).
thf(commutativity_k3_xboole_0,axiom,
! [A: $i,B: $i] :
( ( set_intersection2 @ A @ B )
= ( set_intersection2 @ B @ A ) ) ).
thf(zip_derived_cl1,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2 @ X1 @ X0 )
= ( set_intersection2 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[commutativity_k3_xboole_0]) ).
thf(zip_derived_cl74_002,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( in @ X1 @ X0 )
| ~ ( in @ X1 @ ( set_intersection2 @ X2 @ X0 ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl13]) ).
thf(zip_derived_cl76,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( in @ X2 @ ( set_intersection2 @ X1 @ X0 ) )
| ( in @ X2 @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl1,zip_derived_cl74]) ).
thf(zip_derived_cl112,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( subset @ ( set_intersection2 @ X1 @ X0 ) @ X2 )
| ( in @ ( sk__1 @ X2 @ ( set_intersection2 @ X1 @ X0 ) ) @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl11,zip_derived_cl76]) ).
thf(zip_derived_cl237,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( in @ X0 @ X1 )
| ( subset @ ( set_intersection2 @ X1 @ ( singleton @ X0 ) ) @ X2 )
| ( subset @ ( set_intersection2 @ X1 @ ( singleton @ X0 ) ) @ X2 ) ),
inference('sup+',[status(thm)],[zip_derived_cl98,zip_derived_cl112]) ).
thf(zip_derived_cl243,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( subset @ ( set_intersection2 @ X1 @ ( singleton @ X0 ) ) @ X2 )
| ( in @ X0 @ X1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl237]) ).
thf(t2_xboole_1,axiom,
! [A: $i] : ( subset @ empty_set @ A ) ).
thf(zip_derived_cl31,plain,
! [X0: $i] : ( subset @ empty_set @ X0 ),
inference(cnf,[status(esa)],[t2_xboole_1]) ).
thf(d10_xboole_0,axiom,
! [A: $i,B: $i] :
( ( A = B )
<=> ( ( subset @ A @ B )
& ( subset @ B @ A ) ) ) ).
thf(zip_derived_cl4,plain,
! [X0: $i,X1: $i] :
( ( X1 = X0 )
| ~ ( subset @ X0 @ X1 )
| ~ ( subset @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[d10_xboole_0]) ).
thf(zip_derived_cl38,plain,
! [X0: $i] :
( ~ ( subset @ X0 @ empty_set )
| ( X0 = empty_set ) ),
inference('sup-',[status(thm)],[zip_derived_cl31,zip_derived_cl4]) ).
thf(zip_derived_cl340,plain,
! [X0: $i,X1: $i] :
( ( in @ X0 @ X1 )
| ( ( set_intersection2 @ X1 @ ( singleton @ X0 ) )
= empty_set ) ),
inference('sup-',[status(thm)],[zip_derived_cl243,zip_derived_cl38]) ).
thf(d7_xboole_0,axiom,
! [A: $i,B: $i] :
( ( disjoint @ A @ B )
<=> ( ( set_intersection2 @ A @ B )
= empty_set ) ) ).
thf(zip_derived_cl19,plain,
! [X0: $i,X1: $i] :
( ( disjoint @ X0 @ X1 )
| ( ( set_intersection2 @ X0 @ X1 )
!= empty_set ) ),
inference(cnf,[status(esa)],[d7_xboole_0]) ).
thf(zip_derived_cl26,plain,
~ ( disjoint @ ( singleton @ sk__3 ) @ sk__4 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl53,plain,
( ( set_intersection2 @ ( singleton @ sk__3 ) @ sk__4 )
!= empty_set ),
inference('sup-',[status(thm)],[zip_derived_cl19,zip_derived_cl26]) ).
thf(zip_derived_cl1_003,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2 @ X1 @ X0 )
= ( set_intersection2 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[commutativity_k3_xboole_0]) ).
thf(zip_derived_cl54,plain,
( ( set_intersection2 @ sk__4 @ ( singleton @ sk__3 ) )
!= empty_set ),
inference(demod,[status(thm)],[zip_derived_cl53,zip_derived_cl1]) ).
thf(zip_derived_cl388,plain,
( ( empty_set != empty_set )
| ( in @ sk__3 @ sk__4 ) ),
inference('sup-',[status(thm)],[zip_derived_cl340,zip_derived_cl54]) ).
thf(zip_derived_cl392,plain,
in @ sk__3 @ sk__4,
inference(simplify,[status(thm)],[zip_derived_cl388]) ).
thf(zip_derived_cl393,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl25,zip_derived_cl392]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SEU154+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.IfEz4GnimI true
% 0.15/0.35 % Computer : n018.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
% 0.20/0.35 % CPULimit : 300
% 0.20/0.35 % WCLimit : 300
% 0.20/0.35 % DateTime : Wed Aug 23 16:32:26 EDT 2023
% 0.20/0.35 % CPUTime :
% 0.20/0.35 % Running portfolio for 300 s
% 0.20/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.36 % Number of cores: 8
% 0.20/0.36 % Python version: Python 3.6.8
% 0.20/0.36 % Running in FO mode
% 0.21/0.66 % Total configuration time : 435
% 0.21/0.66 % Estimated wc time : 1092
% 0.21/0.66 % Estimated cpu time (7 cpus) : 156.0
% 0.70/0.72 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.70/0.74 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.70/0.75 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.70/0.77 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.70/0.77 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.70/0.77 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.70/0.77 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 1.34/0.84 % Solved by fo/fo7.sh.
% 1.34/0.84 % done 142 iterations in 0.055s
% 1.34/0.84 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.34/0.84 % SZS output start Refutation
% See solution above
% 1.34/0.84
% 1.34/0.84
% 1.34/0.84 % Terminating...
% 1.42/0.96 % Runner terminated.
% 1.42/0.98 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------