TSTP Solution File: SET945+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET945+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.qZNQJBF3zm 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 16:16:56 EDT 2023
% Result : Theorem 1.29s 0.90s
% Output : Refutation 1.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 14
% Syntax : Number of formulae : 45 ( 13 unt; 8 typ; 0 def)
% Number of atoms : 77 ( 9 equ; 0 cnn)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 314 ( 36 ~; 26 |; 5 &; 238 @)
% ( 4 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 11 ( 11 >; 0 *; 0 +; 0 <<)
% Number of symbols : 10 ( 8 usr; 3 con; 0-2 aty)
% Number of variables : 69 ( 0 ^; 67 !; 2 ?; 69 :)
% Comments :
%------------------------------------------------------------------------------
thf(sk__3_type,type,
sk__3: $i > $i > $i ).
thf(sk__7_type,type,
sk__7: $i ).
thf(set_intersection2_type,type,
set_intersection2: $i > $i > $i ).
thf(sk__6_type,type,
sk__6: $i > $i > $i ).
thf(in_type,type,
in: $i > $i > $o ).
thf(union_type,type,
union: $i > $i ).
thf(disjoint_type,type,
disjoint: $i > $i > $o ).
thf(sk__8_type,type,
sk__8: $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_cl18,plain,
! [X0: $i,X1: $i] :
( ( disjoint @ X0 @ X1 )
| ( in @ ( sk__6 @ X1 @ X0 ) @ ( set_intersection2 @ X0 @ X1 ) ) ),
inference(cnf,[status(esa)],[t4_xboole_0]) ).
thf(t98_zfmisc_1,conjecture,
! [A: $i,B: $i] :
( ! [C: $i] :
( ( in @ C @ A )
=> ( disjoint @ C @ B ) )
=> ( disjoint @ ( union @ A ) @ B ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [A: $i,B: $i] :
( ! [C: $i] :
( ( in @ C @ A )
=> ( disjoint @ C @ B ) )
=> ( disjoint @ ( union @ A ) @ B ) ),
inference('cnf.neg',[status(esa)],[t98_zfmisc_1]) ).
thf(zip_derived_cl21,plain,
~ ( disjoint @ ( union @ sk__7 ) @ sk__8 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl57,plain,
in @ ( sk__6 @ sk__8 @ ( union @ sk__7 ) ) @ ( set_intersection2 @ ( union @ sk__7 ) @ sk__8 ),
inference('sup-',[status(thm)],[zip_derived_cl18,zip_derived_cl21]) ).
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_cl58,plain,
in @ ( sk__6 @ sk__8 @ ( union @ sk__7 ) ) @ ( set_intersection2 @ sk__8 @ ( union @ sk__7 ) ),
inference(demod,[status(thm)],[zip_derived_cl57,zip_derived_cl1]) ).
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_cl3,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_cl24,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( in @ X1 @ X0 )
| ~ ( in @ X1 @ ( set_intersection2 @ X2 @ X0 ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl3]) ).
thf(zip_derived_cl63,plain,
in @ ( sk__6 @ sk__8 @ ( union @ sk__7 ) ) @ ( union @ sk__7 ),
inference('sup-',[status(thm)],[zip_derived_cl58,zip_derived_cl24]) ).
thf(d4_tarski,axiom,
! [A: $i,B: $i] :
( ( B
= ( union @ A ) )
<=> ! [C: $i] :
( ( in @ C @ B )
<=> ? [D: $i] :
( ( in @ D @ A )
& ( in @ C @ D ) ) ) ) ).
thf(zip_derived_cl10,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( in @ X0 @ X1 )
| ( in @ ( sk__3 @ X0 @ X2 ) @ X2 )
| ( X1
!= ( union @ X2 ) ) ),
inference(cnf,[status(esa)],[d4_tarski]) ).
thf(zip_derived_cl81,plain,
! [X0: $i,X1: $i] :
( ( in @ ( sk__3 @ X1 @ X0 ) @ X0 )
| ~ ( in @ X1 @ ( union @ X0 ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl10]) ).
thf(zip_derived_cl106,plain,
in @ ( sk__3 @ ( sk__6 @ sk__8 @ ( union @ sk__7 ) ) @ sk__7 ) @ sk__7,
inference('sup-',[status(thm)],[zip_derived_cl63,zip_derived_cl81]) ).
thf(zip_derived_cl20,plain,
! [X0: $i] :
( ( disjoint @ X0 @ sk__8 )
| ~ ( in @ X0 @ sk__7 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(symmetry_r1_xboole_0,axiom,
! [A: $i,B: $i] :
( ( disjoint @ A @ B )
=> ( disjoint @ B @ A ) ) ).
thf(zip_derived_cl17,plain,
! [X0: $i,X1: $i] :
( ( disjoint @ X0 @ X1 )
| ~ ( disjoint @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[symmetry_r1_xboole_0]) ).
thf(zip_derived_cl50,plain,
! [X0: $i] :
( ~ ( in @ X0 @ sk__7 )
| ( disjoint @ sk__8 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl20,zip_derived_cl17]) ).
thf(zip_derived_cl58_001,plain,
in @ ( sk__6 @ sk__8 @ ( union @ sk__7 ) ) @ ( set_intersection2 @ sk__8 @ ( union @ sk__7 ) ),
inference(demod,[status(thm)],[zip_derived_cl57,zip_derived_cl1]) ).
thf(zip_derived_cl4,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( in @ X0 @ X1 )
| ( in @ X0 @ X2 )
| ( X1
!= ( set_intersection2 @ X2 @ X3 ) ) ),
inference(cnf,[status(esa)],[d3_xboole_0]) ).
thf(zip_derived_cl25,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( in @ X1 @ X0 )
| ~ ( in @ X1 @ ( set_intersection2 @ X0 @ X2 ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl64,plain,
in @ ( sk__6 @ sk__8 @ ( union @ sk__7 ) ) @ sk__8,
inference('sup-',[status(thm)],[zip_derived_cl58,zip_derived_cl25]) ).
thf(zip_derived_cl2,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( in @ X0 @ X1 )
| ~ ( in @ X0 @ X2 )
| ( in @ X0 @ X3 )
| ( X3
!= ( set_intersection2 @ X1 @ X2 ) ) ),
inference(cnf,[status(esa)],[d3_xboole_0]) ).
thf(zip_derived_cl34,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( in @ X2 @ ( set_intersection2 @ X1 @ X0 ) )
| ~ ( in @ X2 @ X0 )
| ~ ( in @ X2 @ X1 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl19,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_cl87,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( in @ X2 @ X1 )
| ~ ( in @ X2 @ X0 )
| ~ ( disjoint @ X1 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl34,zip_derived_cl19]) ).
thf(zip_derived_cl112,plain,
! [X0: $i] :
( ~ ( disjoint @ sk__8 @ X0 )
| ~ ( in @ ( sk__6 @ sk__8 @ ( union @ sk__7 ) ) @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl64,zip_derived_cl87]) ).
thf(zip_derived_cl136,plain,
! [X0: $i] :
( ~ ( in @ X0 @ sk__7 )
| ~ ( in @ ( sk__6 @ sk__8 @ ( union @ sk__7 ) ) @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl50,zip_derived_cl112]) ).
thf(zip_derived_cl158,plain,
~ ( in @ ( sk__6 @ sk__8 @ ( union @ sk__7 ) ) @ ( sk__3 @ ( sk__6 @ sk__8 @ ( union @ sk__7 ) ) @ sk__7 ) ),
inference('sup-',[status(thm)],[zip_derived_cl106,zip_derived_cl136]) ).
thf(zip_derived_cl63_002,plain,
in @ ( sk__6 @ sk__8 @ ( union @ sk__7 ) ) @ ( union @ sk__7 ),
inference('sup-',[status(thm)],[zip_derived_cl58,zip_derived_cl24]) ).
thf(zip_derived_cl9,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( in @ X0 @ X1 )
| ( in @ X0 @ ( sk__3 @ X0 @ X2 ) )
| ( X1
!= ( union @ X2 ) ) ),
inference(cnf,[status(esa)],[d4_tarski]) ).
thf(zip_derived_cl80,plain,
! [X0: $i,X1: $i] :
( ( in @ X1 @ ( sk__3 @ X1 @ X0 ) )
| ~ ( in @ X1 @ ( union @ X0 ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl9]) ).
thf(zip_derived_cl105,plain,
in @ ( sk__6 @ sk__8 @ ( union @ sk__7 ) ) @ ( sk__3 @ ( sk__6 @ sk__8 @ ( union @ sk__7 ) ) @ sk__7 ),
inference('sup-',[status(thm)],[zip_derived_cl63,zip_derived_cl80]) ).
thf(zip_derived_cl350,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl158,zip_derived_cl105]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET945+1 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.qZNQJBF3zm true
% 0.13/0.34 % Computer : n010.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 09:58:50 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % 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
% 0.20/0.73 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.75 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.20/0.75 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.20/0.75 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.20/0.75 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.20/0.75 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.20/0.75 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.29/0.90 % Solved by fo/fo7.sh.
% 1.29/0.90 % done 167 iterations in 0.080s
% 1.29/0.90 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.29/0.90 % SZS output start Refutation
% See solution above
% 1.29/0.90
% 1.29/0.90
% 1.29/0.90 % Terminating...
% 1.41/0.96 % Runner terminated.
% 1.41/0.98 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------