TSTP Solution File: SEU056+1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU056+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.jfxEjVyy3b true
% Computer : n026.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 19:10:20 EDT 2023
% Result : Theorem 0.20s 0.77s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 15
% Syntax : Number of formulae : 38 ( 17 unt; 10 typ; 0 def)
% Number of atoms : 50 ( 19 equ; 0 cnn)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 173 ( 14 ~; 9 |; 5 &; 137 @)
% ( 1 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 9 ( 9 >; 0 *; 0 +; 0 <<)
% Number of symbols : 12 ( 10 usr; 5 con; 0-2 aty)
% Number of variables : 30 ( 0 ^; 30 !; 0 ?; 30 :)
% Comments :
%------------------------------------------------------------------------------
thf(disjoint_type,type,
disjoint: $i > $i > $o ).
thf(sk__13_type,type,
sk__13: $i ).
thf(function_type,type,
function: $i > $o ).
thf(sk__12_type,type,
sk__12: $i ).
thf(set_intersection2_type,type,
set_intersection2: $i > $i > $i ).
thf(sk__11_type,type,
sk__11: $i ).
thf(empty_set_type,type,
empty_set: $i ).
thf(relation_type,type,
relation: $i > $o ).
thf(relation_image_type,type,
relation_image: $i > $i > $i ).
thf(one_to_one_type,type,
one_to_one: $i > $o ).
thf(d7_xboole_0,axiom,
! [A: $i,B: $i] :
( ( disjoint @ A @ B )
<=> ( ( set_intersection2 @ A @ B )
= empty_set ) ) ).
thf(zip_derived_cl8,plain,
! [X0: $i,X1: $i] :
( ( disjoint @ X0 @ X1 )
| ( ( set_intersection2 @ X0 @ X1 )
!= empty_set ) ),
inference(cnf,[status(esa)],[d7_xboole_0]) ).
thf(t125_funct_1,conjecture,
! [A: $i,B: $i,C: $i] :
( ( ( relation @ C )
& ( function @ C ) )
=> ( ( ( disjoint @ A @ B )
& ( one_to_one @ C ) )
=> ( disjoint @ ( relation_image @ C @ A ) @ ( relation_image @ C @ B ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [A: $i,B: $i,C: $i] :
( ( ( relation @ C )
& ( function @ C ) )
=> ( ( ( disjoint @ A @ B )
& ( one_to_one @ C ) )
=> ( disjoint @ ( relation_image @ C @ A ) @ ( relation_image @ C @ B ) ) ) ),
inference('cnf.neg',[status(esa)],[t125_funct_1]) ).
thf(zip_derived_cl43,plain,
~ ( disjoint @ ( relation_image @ sk__13 @ sk__11 ) @ ( relation_image @ sk__13 @ sk__12 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl272,plain,
( ( set_intersection2 @ ( relation_image @ sk__13 @ sk__11 ) @ ( relation_image @ sk__13 @ sk__12 ) )
!= empty_set ),
inference('s_sup-',[status(thm)],[zip_derived_cl8,zip_derived_cl43]) ).
thf(zip_derived_cl42,plain,
one_to_one @ sk__13,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(t121_funct_1,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( relation @ C )
& ( function @ C ) )
=> ( ( one_to_one @ C )
=> ( ( relation_image @ C @ ( set_intersection2 @ A @ B ) )
= ( set_intersection2 @ ( relation_image @ C @ A ) @ ( relation_image @ C @ B ) ) ) ) ) ).
thf(zip_derived_cl41,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( one_to_one @ X0 )
| ( ( relation_image @ X0 @ ( set_intersection2 @ X1 @ X2 ) )
= ( set_intersection2 @ ( relation_image @ X0 @ X1 ) @ ( relation_image @ X0 @ X2 ) ) )
| ~ ( function @ X0 )
| ~ ( relation @ X0 ) ),
inference(cnf,[status(esa)],[t121_funct_1]) ).
thf(zip_derived_cl241,plain,
! [X0: $i,X1: $i] :
( ~ ( relation @ sk__13 )
| ~ ( function @ sk__13 )
| ( ( relation_image @ sk__13 @ ( set_intersection2 @ X1 @ X0 ) )
= ( set_intersection2 @ ( relation_image @ sk__13 @ X1 ) @ ( relation_image @ sk__13 @ X0 ) ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl42,zip_derived_cl41]) ).
thf(zip_derived_cl45,plain,
relation @ sk__13,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl44,plain,
function @ sk__13,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl409,plain,
! [X0: $i,X1: $i] :
( ( relation_image @ sk__13 @ ( set_intersection2 @ X1 @ X0 ) )
= ( set_intersection2 @ ( relation_image @ sk__13 @ X1 ) @ ( relation_image @ sk__13 @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl241,zip_derived_cl45,zip_derived_cl44]) ).
thf(zip_derived_cl46,plain,
disjoint @ sk__11 @ sk__12,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl7,plain,
! [X0: $i,X1: $i] :
( ( ( set_intersection2 @ X0 @ X1 )
= empty_set )
| ~ ( disjoint @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[d7_xboole_0]) ).
thf(zip_derived_cl270,plain,
( ( set_intersection2 @ sk__11 @ sk__12 )
= empty_set ),
inference('s_sup-',[status(thm)],[zip_derived_cl46,zip_derived_cl7]) ).
thf(zip_derived_cl410,plain,
( ( relation_image @ sk__13 @ empty_set )
!= empty_set ),
inference(demod,[status(thm)],[zip_derived_cl272,zip_derived_cl409,zip_derived_cl270]) ).
thf(t149_relat_1,axiom,
! [A: $i] :
( ( relation @ A )
=> ( ( relation_image @ A @ empty_set )
= empty_set ) ) ).
thf(zip_derived_cl47,plain,
! [X0: $i] :
( ( ( relation_image @ X0 @ empty_set )
= empty_set )
| ~ ( relation @ X0 ) ),
inference(cnf,[status(esa)],[t149_relat_1]) ).
thf(zip_derived_cl409_001,plain,
! [X0: $i,X1: $i] :
( ( relation_image @ sk__13 @ ( set_intersection2 @ X1 @ X0 ) )
= ( set_intersection2 @ ( relation_image @ sk__13 @ X1 ) @ ( relation_image @ sk__13 @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl241,zip_derived_cl45,zip_derived_cl44]) ).
thf(zip_derived_cl417,plain,
! [X0: $i] :
( ~ ( relation @ sk__13 )
| ( ( relation_image @ sk__13 @ ( set_intersection2 @ X0 @ empty_set ) )
= ( set_intersection2 @ ( relation_image @ sk__13 @ X0 ) @ empty_set ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl47,zip_derived_cl409]) ).
thf(zip_derived_cl45_002,plain,
relation @ sk__13,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(t2_boole,axiom,
! [A: $i] :
( ( set_intersection2 @ A @ empty_set )
= empty_set ) ).
thf(zip_derived_cl49,plain,
! [X0: $i] :
( ( set_intersection2 @ X0 @ empty_set )
= empty_set ),
inference(cnf,[status(esa)],[t2_boole]) ).
thf(zip_derived_cl49_003,plain,
! [X0: $i] :
( ( set_intersection2 @ X0 @ empty_set )
= empty_set ),
inference(cnf,[status(esa)],[t2_boole]) ).
thf(zip_derived_cl421,plain,
( ( relation_image @ sk__13 @ empty_set )
= empty_set ),
inference(demod,[status(thm)],[zip_derived_cl417,zip_derived_cl45,zip_derived_cl49,zip_derived_cl49]) ).
thf(zip_derived_cl458,plain,
empty_set != empty_set,
inference(demod,[status(thm)],[zip_derived_cl410,zip_derived_cl421]) ).
thf(zip_derived_cl459,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl458]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU056+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.jfxEjVyy3b true
% 0.17/0.35 % Computer : n026.cluster.edu
% 0.17/0.35 % Model : x86_64 x86_64
% 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.35 % Memory : 8042.1875MB
% 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.35 % CPULimit : 300
% 0.17/0.35 % WCLimit : 300
% 0.17/0.35 % DateTime : Wed Aug 23 18:47:31 EDT 2023
% 0.17/0.35 % CPUTime :
% 0.17/0.35 % Running portfolio for 300 s
% 0.17/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.35 % Number of cores: 8
% 0.17/0.35 % Python version: Python 3.6.8
% 0.17/0.36 % Running in FO mode
% 0.20/0.64 % Total configuration time : 435
% 0.20/0.64 % Estimated wc time : 1092
% 0.20/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.71 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.72 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.20/0.72 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.20/0.75 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.20/0.76 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.20/0.76 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.20/0.76 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.20/0.77 % Solved by fo/fo6_bce.sh.
% 0.20/0.77 % BCE start: 58
% 0.20/0.77 % BCE eliminated: 2
% 0.20/0.77 % PE start: 56
% 0.20/0.77 logic: eq
% 0.20/0.77 % PE eliminated: 3
% 0.20/0.77 % done 95 iterations in 0.044s
% 0.20/0.77 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.20/0.77 % SZS output start Refutation
% See solution above
% 0.20/0.77
% 0.20/0.77
% 0.20/0.77 % Terminating...
% 1.63/0.85 % Runner terminated.
% 1.63/0.86 % Zipperpin 1.5 exiting
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