TSTP Solution File: SEU587^2 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU587^2 : 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.oEcQsZxl7N true
% Computer : n004.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 19:14:10 EDT 2023
% Result : Theorem 0.21s 0.76s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 14
% Syntax : Number of formulae : 36 ( 7 unt; 8 typ; 0 def)
% Number of atoms : 109 ( 4 equ; 0 cnn)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 309 ( 11 ~; 7 |; 0 &; 225 @)
% ( 0 <=>; 37 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 8 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 8 ( 8 >; 0 *; 0 +; 0 <<)
% Number of symbols : 11 ( 8 usr; 6 con; 0-2 aty)
% ( 29 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 86 ( 29 ^; 57 !; 0 ?; 86 :)
% Comments :
%------------------------------------------------------------------------------
thf('#sk2_type',type,
'#sk2': $i ).
thf(in_type,type,
in: $i > $i > $o ).
thf('#sk3_type',type,
'#sk3': $i > $i > $i ).
thf(subsetI2_type,type,
subsetI2: $o ).
thf(binunion_type,type,
binunion: $i > $i > $i ).
thf(binunionIL_type,type,
binunionIL: $o ).
thf('#sk1_type',type,
'#sk1': $i ).
thf(subset_type,type,
subset: $i > $i > $o ).
thf(binunionIL,axiom,
( binunionIL
= ( ! [A: $i,B: $i,Xx: $i] :
( ( in @ Xx @ A )
=> ( in @ Xx @ ( binunion @ A @ B ) ) ) ) ) ).
thf('0',plain,
( binunionIL
= ( ! [X4: $i,X6: $i,X8: $i] :
( ( in @ X8 @ X4 )
=> ( in @ X8 @ ( binunion @ X4 @ X6 ) ) ) ) ),
define([status(thm)]) ).
thf(subsetI2,axiom,
( subsetI2
= ( ! [A: $i,B: $i] :
( ! [Xx: $i] :
( ( in @ Xx @ A )
=> ( in @ Xx @ B ) )
=> ( subset @ A @ B ) ) ) ) ).
thf('1',plain,
( subsetI2
= ( ! [X4: $i,X6: $i] :
( ! [X8: $i] :
( ( in @ X8 @ X4 )
=> ( in @ X8 @ X6 ) )
=> ( subset @ X4 @ X6 ) ) ) ),
define([status(thm)]) ).
thf(binunionLsub,conjecture,
( subsetI2
=> ( binunionIL
=> ! [A: $i,B: $i] : ( subset @ A @ ( binunion @ A @ B ) ) ) ) ).
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] :
( ( in @ X14 @ X10 )
=> ( in @ X14 @ ( binunion @ X10 @ X12 ) ) )
=> ! [X16: $i,X18: $i] : ( subset @ X16 @ ( binunion @ X16 @ X18 ) ) ) ) ).
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] :
( ( in @ X14 @ X10 )
=> ( in @ X14 @ ( binunion @ X10 @ X12 ) ) )
=> ! [X16: $i,X18: $i] : ( subset @ X16 @ ( binunion @ X16 @ X18 ) ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl0,plain,
~ ( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( !!
@ ^ [Y2: $i] :
( ( in @ Y2 @ Y0 )
=> ( in @ Y2 @ Y1 ) ) )
=> ( subset @ Y0 @ Y1 ) ) ) )
=> ( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( in @ Y2 @ Y0 )
=> ( in @ Y2 @ ( binunion @ Y0 @ Y1 ) ) ) ) ) )
=> ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] : ( subset @ Y0 @ ( binunion @ Y0 @ Y1 ) ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl2,plain,
~ ( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( in @ Y2 @ Y0 )
=> ( in @ Y2 @ ( binunion @ Y0 @ Y1 ) ) ) ) ) )
=> ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] : ( subset @ Y0 @ ( binunion @ Y0 @ Y1 ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl5,plain,
~ ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] : ( subset @ Y0 @ ( binunion @ Y0 @ Y1 ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl8,plain,
~ ( !!
@ ^ [Y0: $i] : ( subset @ '#sk1' @ ( binunion @ '#sk1' @ Y0 ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl11,plain,
~ ( subset @ '#sk1' @ ( binunion @ '#sk1' @ '#sk2' ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl8]) ).
thf(zip_derived_cl1,plain,
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( !!
@ ^ [Y2: $i] :
( ( in @ Y2 @ Y0 )
=> ( in @ Y2 @ Y1 ) ) )
=> ( subset @ Y0 @ Y1 ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl3,plain,
! [X2: $i] :
( !!
@ ^ [Y0: $i] :
( ( !!
@ ^ [Y1: $i] :
( ( in @ Y1 @ X2 )
=> ( in @ Y1 @ Y0 ) ) )
=> ( subset @ X2 @ Y0 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl6,plain,
! [X2: $i,X4: $i] :
( ( !!
@ ^ [Y0: $i] :
( ( in @ Y0 @ X2 )
=> ( in @ Y0 @ X4 ) ) )
=> ( subset @ X2 @ X4 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl3]) ).
thf(zip_derived_cl9,plain,
! [X2: $i,X4: $i] :
( ~ ( !!
@ ^ [Y0: $i] :
( ( in @ Y0 @ X2 )
=> ( in @ Y0 @ X4 ) ) )
| ( subset @ X2 @ X4 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl6]) ).
thf(zip_derived_cl12,plain,
! [X2: $i,X4: $i] :
( ~ ( ( in @ ( '#sk3' @ X2 @ X4 ) @ X2 )
=> ( in @ ( '#sk3' @ X2 @ X4 ) @ X4 ) )
| ( subset @ X2 @ X4 ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl9]) ).
thf(zip_derived_cl14,plain,
! [X2: $i,X4: $i] :
( ( in @ ( '#sk3' @ X2 @ X4 ) @ X2 )
| ( subset @ X2 @ X4 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl12]) ).
thf(zip_derived_cl4,plain,
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( in @ Y2 @ Y0 )
=> ( in @ Y2 @ ( binunion @ Y0 @ Y1 ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl7,plain,
! [X2: $i] :
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( in @ Y1 @ X2 )
=> ( in @ Y1 @ ( binunion @ X2 @ Y0 ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl10,plain,
! [X2: $i,X4: $i] :
( !!
@ ^ [Y0: $i] :
( ( in @ Y0 @ X2 )
=> ( in @ Y0 @ ( binunion @ X2 @ X4 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl7]) ).
thf(zip_derived_cl13,plain,
! [X2: $i,X4: $i,X6: $i] :
( ( in @ X6 @ X2 )
=> ( in @ X6 @ ( binunion @ X2 @ X4 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl10]) ).
thf(zip_derived_cl16,plain,
! [X2: $i,X4: $i,X6: $i] :
( ~ ( in @ X6 @ X2 )
| ( in @ X6 @ ( binunion @ X2 @ X4 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl13]) ).
thf(zip_derived_cl15,plain,
! [X2: $i,X4: $i] :
( ~ ( in @ ( '#sk3' @ X2 @ X4 ) @ X4 )
| ( subset @ X2 @ X4 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl12]) ).
thf(zip_derived_cl17,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( in @ ( '#sk3' @ X2 @ ( binunion @ X1 @ X0 ) ) @ X1 )
| ( subset @ X2 @ ( binunion @ X1 @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl16,zip_derived_cl15]) ).
thf(zip_derived_cl31,plain,
! [X0: $i,X1: $i] :
( ( subset @ X0 @ ( binunion @ X0 @ X1 ) )
| ( subset @ X0 @ ( binunion @ X0 @ X1 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl14,zip_derived_cl17]) ).
thf(zip_derived_cl37,plain,
! [X0: $i,X1: $i] : ( subset @ X0 @ ( binunion @ X0 @ X1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl31]) ).
thf(zip_derived_cl41,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl11,zip_derived_cl37]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU587^2 : TPTP v8.1.2. Released v3.7.0.
% 0.13/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.oEcQsZxl7N true
% 0.15/0.34 % Computer : n004.cluster.edu
% 0.15/0.34 % Model : x86_64 x86_64
% 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.34 % Memory : 8042.1875MB
% 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.34 % CPULimit : 300
% 0.15/0.34 % WCLimit : 300
% 0.15/0.34 % DateTime : Wed Aug 23 12:37:38 EDT 2023
% 0.15/0.34 % CPUTime :
% 0.15/0.34 % Running portfolio for 300 s
% 0.15/0.34 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.34 % Number of cores: 8
% 0.20/0.35 % Python version: Python 3.6.8
% 0.20/0.35 % Running in HO mode
% 0.21/0.66 % Total configuration time : 828
% 0.21/0.66 % Estimated wc time : 1656
% 0.21/0.66 % Estimated cpu time (8 cpus) : 207.0
% 0.21/0.72 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.21/0.72 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.21/0.73 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.21/0.74 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.21/0.75 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.21/0.75 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.21/0.76 % Solved by lams/35_full_unif4.sh.
% 0.21/0.76 % done 9 iterations in 0.016s
% 0.21/0.76 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.21/0.76 % SZS output start Refutation
% See solution above
% 0.21/0.76
% 0.21/0.76
% 0.21/0.76 % Terminating...
% 1.15/0.85 % Runner terminated.
% 1.76/0.85 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------