TSTP Solution File: SEU623^2 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU623^2 : TPTP v8.1.2. Released v3.7.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.09gQZi9pXE 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 Aug 31 19:14:49 EDT 2023
% Result : Theorem 0.20s 0.75s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 23
% Syntax : Number of formulae : 33 ( 14 unt; 13 typ; 0 def)
% Number of atoms : 71 ( 8 equ; 0 cnn)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 200 ( 8 ~; 4 |; 0 &; 157 @)
% ( 0 <=>; 31 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 9 ( 9 >; 0 *; 0 +; 0 <<)
% Number of symbols : 15 ( 13 usr; 9 con; 0-2 aty)
% Number of variables : 55 ( 0 ^; 55 !; 0 ?; 55 :)
% Comments :
%------------------------------------------------------------------------------
thf(binunionLsub_type,type,
binunionLsub: $o ).
thf(subset_type,type,
subset: $i > $i > $o ).
thf(sk__11_type,type,
sk__11: $i ).
thf(in_type,type,
in: $i > $i > $o ).
thf(singletoninpowerset_type,type,
singletoninpowerset: $o ).
thf(sk__9_type,type,
sk__9: $i ).
thf(setadjoin_type,type,
setadjoin: $i > $i > $i ).
thf(powersetsubset_type,type,
powersetsubset: $o ).
thf(sk__10_type,type,
sk__10: $i ).
thf(subsetE_type,type,
subsetE: $o ).
thf(powerset_type,type,
powerset: $i > $i ).
thf(emptyset_type,type,
emptyset: $i ).
thf(binunion_type,type,
binunion: $i > $i > $i ).
thf(singletoninpowerset,axiom,
( singletoninpowerset
= ( ! [A: $i,Xx: $i] :
( ( in @ Xx @ A )
=> ( in @ ( setadjoin @ Xx @ emptyset ) @ ( powerset @ A ) ) ) ) ) ).
thf('0',plain,
( singletoninpowerset
= ( ! [X4: $i,X6: $i] :
( ( in @ X6 @ X4 )
=> ( in @ ( setadjoin @ X6 @ emptyset ) @ ( powerset @ X4 ) ) ) ) ),
define([status(thm)]) ).
thf(binunionLsub,axiom,
( binunionLsub
= ( ! [A: $i,B: $i] : ( subset @ A @ ( binunion @ A @ B ) ) ) ) ).
thf('1',plain,
( binunionLsub
= ( ! [X4: $i,X6: $i] : ( subset @ X4 @ ( binunion @ X4 @ X6 ) ) ) ),
define([status(thm)]) ).
thf(powersetsubset,axiom,
( powersetsubset
= ( ! [A: $i,B: $i] :
( ( subset @ A @ B )
=> ( subset @ ( powerset @ A ) @ ( powerset @ B ) ) ) ) ) ).
thf('2',plain,
( powersetsubset
= ( ! [X4: $i,X6: $i] :
( ( subset @ X4 @ X6 )
=> ( subset @ ( powerset @ X4 ) @ ( powerset @ X6 ) ) ) ) ),
define([status(thm)]) ).
thf(subsetE,axiom,
( subsetE
= ( ! [A: $i,B: $i,Xx: $i] :
( ( subset @ A @ B )
=> ( ( in @ Xx @ A )
=> ( in @ Xx @ B ) ) ) ) ) ).
thf('3',plain,
( subsetE
= ( ! [X4: $i,X6: $i,X8: $i] :
( ( subset @ X4 @ X6 )
=> ( ( in @ X8 @ X4 )
=> ( in @ X8 @ X6 ) ) ) ) ),
define([status(thm)]) ).
thf(singletoninpowunion,conjecture,
( subsetE
=> ( powersetsubset
=> ( binunionLsub
=> ( singletoninpowerset
=> ! [A: $i,B: $i,Xx: $i] :
( ( in @ Xx @ A )
=> ( in @ ( setadjoin @ Xx @ emptyset ) @ ( powerset @ ( binunion @ A @ B ) ) ) ) ) ) ) ) ).
thf(zf_stmt_0,conjecture,
( ! [X4: $i,X6: $i,X8: $i] :
( ( subset @ X4 @ X6 )
=> ( ( in @ X8 @ X4 )
=> ( in @ X8 @ X6 ) ) )
=> ( ! [X10: $i,X12: $i] :
( ( subset @ X10 @ X12 )
=> ( subset @ ( powerset @ X10 ) @ ( powerset @ X12 ) ) )
=> ( ! [X14: $i,X16: $i] : ( subset @ X14 @ ( binunion @ X14 @ X16 ) )
=> ( ! [X18: $i,X20: $i] :
( ( in @ X20 @ X18 )
=> ( in @ ( setadjoin @ X20 @ emptyset ) @ ( powerset @ X18 ) ) )
=> ! [X22: $i,X24: $i,X26: $i] :
( ( in @ X26 @ X22 )
=> ( in @ ( setadjoin @ X26 @ emptyset ) @ ( powerset @ ( binunion @ X22 @ X24 ) ) ) ) ) ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ( ! [X4: $i,X6: $i,X8: $i] :
( ( subset @ X4 @ X6 )
=> ( ( in @ X8 @ X4 )
=> ( in @ X8 @ X6 ) ) )
=> ( ! [X10: $i,X12: $i] :
( ( subset @ X10 @ X12 )
=> ( subset @ ( powerset @ X10 ) @ ( powerset @ X12 ) ) )
=> ( ! [X14: $i,X16: $i] : ( subset @ X14 @ ( binunion @ X14 @ X16 ) )
=> ( ! [X18: $i,X20: $i] :
( ( in @ X20 @ X18 )
=> ( in @ ( setadjoin @ X20 @ emptyset ) @ ( powerset @ X18 ) ) )
=> ! [X22: $i,X24: $i,X26: $i] :
( ( in @ X26 @ X22 )
=> ( in @ ( setadjoin @ X26 @ emptyset ) @ ( powerset @ ( binunion @ X22 @ X24 ) ) ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1,plain,
! [X3: $i,X4: $i] : ( subset @ X3 @ ( binunion @ X3 @ X4 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl0,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( subset @ X0 @ X1 )
| ( in @ X2 @ X1 )
| ~ ( in @ X2 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl9,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( in @ X2 @ X1 )
| ( in @ X2 @ ( binunion @ X1 @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl1,zip_derived_cl0]) ).
thf(zip_derived_cl4,plain,
! [X5: $i,X6: $i] :
( ( in @ ( setadjoin @ X5 @ emptyset ) @ ( powerset @ X6 ) )
| ~ ( in @ X5 @ X6 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl2,plain,
~ ( in @ ( setadjoin @ sk__11 @ emptyset ) @ ( powerset @ ( binunion @ sk__9 @ sk__10 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl6,plain,
~ ( in @ sk__11 @ ( binunion @ sk__9 @ sk__10 ) ),
inference('sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl2]) ).
thf(zip_derived_cl12,plain,
~ ( in @ sk__11 @ sk__9 ),
inference('sup-',[status(thm)],[zip_derived_cl9,zip_derived_cl6]) ).
thf(zip_derived_cl3,plain,
in @ sk__11 @ sk__9,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl14,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl12,zip_derived_cl3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU623^2 : TPTP v8.1.2. Released v3.7.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.09gQZi9pXE true
% 0.13/0.34 % Computer : n008.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 : Wed Aug 23 15:07:33 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox2/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 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
% 0.20/0.72 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.20/0.72 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.20/0.73 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.20/0.73 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.20/0.75 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.20/0.75 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.20/0.75 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.20/0.75 % Solved by lams/40_c.s.sh.
% 0.20/0.75 % done 8 iterations in 0.010s
% 0.20/0.75 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.20/0.75 % SZS output start Refutation
% See solution above
% 0.20/0.75
% 0.20/0.75
% 0.20/0.75 % Terminating...
% 0.20/0.85 % Runner terminated.
% 0.20/0.86 % Zipperpin 1.5 exiting
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