TSTP Solution File: SEU759^2 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU759^2 : TPTP v8.1.2. Released v3.7.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.fGFp1KEQhu 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 19:17:08 EDT 2023
% Result : Theorem 0.20s 0.74s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 19
% Syntax : Number of formulae : 32 ( 10 unt; 11 typ; 0 def)
% Number of atoms : 83 ( 6 equ; 0 cnn)
% Maximal formula atoms : 13 ( 3 avg)
% Number of connectives : 237 ( 8 ~; 9 |; 0 &; 179 @)
% ( 0 <=>; 41 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 9 ( 9 >; 0 *; 0 +; 0 <<)
% Number of symbols : 13 ( 11 usr; 7 con; 0-2 aty)
% Number of variables : 65 ( 0 ^; 65 !; 0 ?; 65 :)
% Comments :
%------------------------------------------------------------------------------
thf(sk__10_type,type,
sk__10: $i ).
thf(binintersect_type,type,
binintersect: $i > $i > $i ).
thf(in_type,type,
in: $i > $i > $o ).
thf(sk__11_type,type,
sk__11: $i ).
thf(subset_type,type,
subset: $i > $i > $o ).
thf(sk__12_type,type,
sk__12: $i ).
thf(subsetE_type,type,
subsetE: $o ).
thf(subsetI1_type,type,
subsetI1: $o ).
thf(sk__13_type,type,
sk__13: $i > $i > $i ).
thf(powerset_type,type,
powerset: $i > $i ).
thf(binintersectEL_type,type,
binintersectEL: $o ).
thf(binintersectEL,axiom,
( binintersectEL
= ( ! [A: $i,B: $i,Xx: $i] :
( ( in @ Xx @ ( binintersect @ A @ B ) )
=> ( in @ Xx @ A ) ) ) ) ).
thf('0',plain,
( binintersectEL
= ( ! [X4: $i,X6: $i,X8: $i] :
( ( in @ X8 @ ( binintersect @ X4 @ X6 ) )
=> ( in @ X8 @ X4 ) ) ) ),
define([status(thm)]) ).
thf(subsetE,axiom,
( subsetE
= ( ! [A: $i,B: $i,Xx: $i] :
( ( subset @ A @ B )
=> ( ( in @ Xx @ A )
=> ( in @ Xx @ B ) ) ) ) ) ).
thf('1',plain,
( subsetE
= ( ! [X4: $i,X6: $i,X8: $i] :
( ( subset @ X4 @ X6 )
=> ( ( in @ X8 @ X4 )
=> ( in @ X8 @ X6 ) ) ) ) ),
define([status(thm)]) ).
thf(subsetI1,axiom,
( subsetI1
= ( ! [A: $i,B: $i] :
( ! [Xx: $i] :
( ( in @ Xx @ A )
=> ( in @ Xx @ B ) )
=> ( subset @ A @ B ) ) ) ) ).
thf('2',plain,
( subsetI1
= ( ! [X4: $i,X6: $i] :
( ! [X8: $i] :
( ( in @ X8 @ X4 )
=> ( in @ X8 @ X6 ) )
=> ( subset @ X4 @ X6 ) ) ) ),
define([status(thm)]) ).
thf(woz13rule1,conjecture,
( subsetI1
=> ( subsetE
=> ( binintersectEL
=> ! [A: $i,X: $i] :
( ( in @ X @ ( powerset @ A ) )
=> ! [Y: $i] :
( ( in @ Y @ ( powerset @ A ) )
=> ! [Z: $i] :
( ( in @ Z @ ( powerset @ A ) )
=> ( ( subset @ X @ Z )
=> ( subset @ ( binintersect @ X @ Y ) @ Z ) ) ) ) ) ) ) ) ).
thf(zf_stmt_0,conjecture,
( ! [X4: $i,X6: $i] :
( ! [X8: $i] :
( ( in @ X8 @ X4 )
=> ( in @ X8 @ X6 ) )
=> ( subset @ X4 @ X6 ) )
=> ( ! [X10: $i,X12: $i,X14: $i] :
( ( subset @ X10 @ X12 )
=> ( ( in @ X14 @ X10 )
=> ( in @ X14 @ X12 ) ) )
=> ( ! [X16: $i,X18: $i,X20: $i] :
( ( in @ X20 @ ( binintersect @ X16 @ X18 ) )
=> ( in @ X20 @ X16 ) )
=> ! [X22: $i,X24: $i] :
( ( in @ X24 @ ( powerset @ X22 ) )
=> ! [X26: $i] :
( ( in @ X26 @ ( powerset @ X22 ) )
=> ! [X28: $i] :
( ( in @ X28 @ ( powerset @ X22 ) )
=> ( ( subset @ X24 @ X28 )
=> ( subset @ ( binintersect @ X24 @ X26 ) @ X28 ) ) ) ) ) ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ( ! [X4: $i,X6: $i] :
( ! [X8: $i] :
( ( in @ X8 @ X4 )
=> ( in @ X8 @ X6 ) )
=> ( subset @ X4 @ X6 ) )
=> ( ! [X10: $i,X12: $i,X14: $i] :
( ( subset @ X10 @ X12 )
=> ( ( in @ X14 @ X10 )
=> ( in @ X14 @ X12 ) ) )
=> ( ! [X16: $i,X18: $i,X20: $i] :
( ( in @ X20 @ ( binintersect @ X16 @ X18 ) )
=> ( in @ X20 @ X16 ) )
=> ! [X22: $i,X24: $i] :
( ( in @ X24 @ ( powerset @ X22 ) )
=> ! [X26: $i] :
( ( in @ X26 @ ( powerset @ X22 ) )
=> ! [X28: $i] :
( ( in @ X28 @ ( powerset @ X22 ) )
=> ( ( subset @ X24 @ X28 )
=> ( subset @ ( binintersect @ X24 @ X26 ) @ X28 ) ) ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl5,plain,
~ ( subset @ ( binintersect @ sk__10 @ sk__11 ) @ sk__12 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl1,plain,
! [X0: $i,X1: $i] :
( ( subset @ X0 @ X1 )
| ( in @ ( sk__13 @ X1 @ X0 ) @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl2,plain,
! [X2: $i,X3: $i,X4: $i] :
( ( in @ X2 @ X3 )
| ~ ( in @ X2 @ ( binintersect @ X3 @ X4 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl9,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( subset @ ( binintersect @ X1 @ X0 ) @ X2 )
| ( in @ ( sk__13 @ X2 @ ( binintersect @ X1 @ X0 ) ) @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl1,zip_derived_cl2]) ).
thf(zip_derived_cl0,plain,
! [X0: $i,X1: $i] :
( ( subset @ X0 @ X1 )
| ~ ( in @ ( sk__13 @ X1 @ X0 ) @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl4,plain,
subset @ sk__10 @ sk__12,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl8,plain,
! [X5: $i,X6: $i,X7: $i] :
( ~ ( subset @ X5 @ X6 )
| ( in @ X7 @ X6 )
| ~ ( in @ X7 @ X5 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl11,plain,
! [X0: $i] :
( ~ ( in @ X0 @ sk__10 )
| ( in @ X0 @ sk__12 ) ),
inference('sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl8]) ).
thf(zip_derived_cl14,plain,
! [X0: $i] :
( ( subset @ X0 @ sk__12 )
| ~ ( in @ ( sk__13 @ sk__12 @ X0 ) @ sk__10 ) ),
inference('sup+',[status(thm)],[zip_derived_cl0,zip_derived_cl11]) ).
thf(zip_derived_cl55,plain,
! [X0: $i] :
( ( subset @ ( binintersect @ sk__10 @ X0 ) @ sk__12 )
| ( subset @ ( binintersect @ sk__10 @ X0 ) @ sk__12 ) ),
inference('sup-',[status(thm)],[zip_derived_cl9,zip_derived_cl14]) ).
thf(zip_derived_cl64,plain,
! [X0: $i] : ( subset @ ( binintersect @ sk__10 @ X0 ) @ sk__12 ),
inference(simplify,[status(thm)],[zip_derived_cl55]) ).
thf(zip_derived_cl75,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl5,zip_derived_cl64]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU759^2 : TPTP v8.1.2. Released v3.7.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.fGFp1KEQhu true
% 0.17/0.34 % Computer : n018.cluster.edu
% 0.17/0.34 % Model : x86_64 x86_64
% 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.34 % Memory : 8042.1875MB
% 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.34 % CPULimit : 300
% 0.17/0.34 % WCLimit : 300
% 0.17/0.34 % DateTime : Wed Aug 23 23:10:27 EDT 2023
% 0.17/0.34 % CPUTime :
% 0.17/0.34 % Running portfolio for 300 s
% 0.17/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.34 % Number of cores: 8
% 0.19/0.34 % Python version: Python 3.6.8
% 0.19/0.35 % Running in HO mode
% 0.20/0.65 % Total configuration time : 828
% 0.20/0.65 % Estimated wc time : 1656
% 0.20/0.65 % Estimated cpu time (8 cpus) : 207.0
% 0.20/0.69 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.20/0.70 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.20/0.72 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.20/0.74 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.20/0.74 % Solved by lams/40_c.s.sh.
% 0.20/0.74 % done 31 iterations in 0.023s
% 0.20/0.74 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.20/0.74 % SZS output start Refutation
% See solution above
% 0.20/0.74
% 0.20/0.74
% 0.20/0.74 % Terminating...
% 0.20/0.77 % Runner terminated.
% 0.20/0.78 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------