TSTP Solution File: SEU814^2 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU814^2 : 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.sZk0wbsg9I true
% Computer : n031.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 19:18:17 EDT 2023
% Result : Theorem 1.20s 0.75s
% Output : Refutation 1.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 16
% Syntax : Number of formulae : 42 ( 12 unt; 8 typ; 0 def)
% Number of atoms : 171 ( 7 equ; 0 cnn)
% Maximal formula atoms : 22 ( 5 avg)
% Number of connectives : 411 ( 17 ~; 7 |; 0 &; 271 @)
% ( 0 <=>; 82 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 5 ( 5 >; 0 *; 0 +; 0 <<)
% Number of symbols : 11 ( 8 usr; 7 con; 0-2 aty)
% ( 34 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 90 ( 37 ^; 53 !; 0 ?; 90 :)
% Comments :
%------------------------------------------------------------------------------
thf('#sk2_type',type,
'#sk2': $i ).
thf(in_type,type,
in: $i > $i > $o ).
thf(subsetE_type,type,
subsetE: $o ).
thf(transitiveset_type,type,
transitiveset: $i > $o ).
thf(transitivesetOp1_type,type,
transitivesetOp1: $o ).
thf('#sk3_type',type,
'#sk3': $i ).
thf('#sk1_type',type,
'#sk1': $i ).
thf(subset_type,type,
subset: $i > $i > $o ).
thf(transitivesetOp1,axiom,
( transitivesetOp1
= ( ! [X: $i] :
( ( transitiveset @ X )
=> ! [A: $i] :
( ( in @ A @ X )
=> ( subset @ A @ X ) ) ) ) ) ).
thf('0',plain,
( transitivesetOp1
= ( ! [X4: $i] :
( ( transitiveset @ X4 )
=> ! [X6: $i] :
( ( in @ X6 @ X4 )
=> ( subset @ X6 @ X4 ) ) ) ) ),
define([status(thm)]) ).
thf(transitiveset,axiom,
( transitiveset
= ( ^ [A: $i] :
! [X: $i] :
( ( in @ X @ A )
=> ( subset @ X @ A ) ) ) ) ).
thf('1',plain,
( transitiveset
= ( ^ [A: $i] :
! [X: $i] :
( ( in @ X @ A )
=> ( subset @ X @ A ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[transitiveset]) ).
thf('2',plain,
( transitiveset
= ( ^ [V_1: $i] :
! [X4: $i] :
( ( in @ X4 @ V_1 )
=> ( subset @ X4 @ V_1 ) ) ) ),
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(transitivesetOp2,conjecture,
( subsetE
=> ( transitivesetOp1
=> ! [X: $i] :
( ( transitiveset @ X )
=> ! [A: $i,Xx: $i] :
( ( in @ A @ X )
=> ( ( in @ Xx @ A )
=> ( in @ Xx @ X ) ) ) ) ) ) ).
thf(zf_stmt_0,conjecture,
( ! [X4: $i,X6: $i,X8: $i] :
( ( subset @ X4 @ X6 )
=> ( ( in @ X8 @ X4 )
=> ( in @ X8 @ X6 ) ) )
=> ( ! [X10: $i] :
( ! [X12: $i] :
( ( in @ X12 @ X10 )
=> ( subset @ X12 @ X10 ) )
=> ! [X14: $i] :
( ( in @ X14 @ X10 )
=> ( subset @ X14 @ X10 ) ) )
=> ! [X16: $i] :
( ! [X18: $i] :
( ( in @ X18 @ X16 )
=> ( subset @ X18 @ X16 ) )
=> ! [X20: $i,X22: $i] :
( ( in @ X20 @ X16 )
=> ( ( in @ X22 @ X20 )
=> ( in @ X22 @ X16 ) ) ) ) ) ) ).
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] :
( ( in @ X12 @ X10 )
=> ( subset @ X12 @ X10 ) )
=> ! [X14: $i] :
( ( in @ X14 @ X10 )
=> ( subset @ X14 @ X10 ) ) )
=> ! [X16: $i] :
( ! [X18: $i] :
( ( in @ X18 @ X16 )
=> ( subset @ X18 @ X16 ) )
=> ! [X20: $i,X22: $i] :
( ( in @ X20 @ X16 )
=> ( ( in @ X22 @ X20 )
=> ( in @ X22 @ X16 ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl0,plain,
~ ( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( subset @ Y0 @ Y1 )
=> ( ( in @ Y2 @ Y0 )
=> ( in @ Y2 @ Y1 ) ) ) ) ) )
=> ( ( !!
@ ^ [Y0: $i] :
( ( !!
@ ^ [Y1: $i] :
( ( in @ Y1 @ Y0 )
=> ( subset @ Y1 @ Y0 ) ) )
=> ( !!
@ ^ [Y1: $i] :
( ( in @ Y1 @ Y0 )
=> ( subset @ Y1 @ Y0 ) ) ) ) )
=> ( !!
@ ^ [Y0: $i] :
( ( !!
@ ^ [Y1: $i] :
( ( in @ Y1 @ Y0 )
=> ( subset @ Y1 @ Y0 ) ) )
=> ( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( in @ Y1 @ Y0 )
=> ( ( in @ Y2 @ Y1 )
=> ( in @ Y2 @ Y0 ) ) ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl1,plain,
~ ( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( subset @ Y0 @ Y1 )
=> ( ( in @ Y2 @ Y0 )
=> ( in @ Y2 @ Y1 ) ) ) ) ) )
=> ( !!
@ ^ [Y0: $i] :
( ( !!
@ ^ [Y1: $i] :
( ( in @ Y1 @ Y0 )
=> ( subset @ Y1 @ Y0 ) ) )
=> ( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( in @ Y1 @ Y0 )
=> ( ( in @ Y2 @ Y1 )
=> ( in @ Y2 @ Y0 ) ) ) ) ) ) ) ),
inference('simplify boolean subterms',[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl3,plain,
~ ( !!
@ ^ [Y0: $i] :
( ( !!
@ ^ [Y1: $i] :
( ( in @ Y1 @ Y0 )
=> ( subset @ Y1 @ Y0 ) ) )
=> ( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( in @ Y1 @ Y0 )
=> ( ( in @ Y2 @ Y1 )
=> ( in @ Y2 @ Y0 ) ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl5,plain,
~ ( ( !!
@ ^ [Y0: $i] :
( ( in @ Y0 @ '#sk1' )
=> ( subset @ Y0 @ '#sk1' ) ) )
=> ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( in @ Y0 @ '#sk1' )
=> ( ( in @ Y1 @ Y0 )
=> ( in @ Y1 @ '#sk1' ) ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl3]) ).
thf(zip_derived_cl8,plain,
~ ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( in @ Y0 @ '#sk1' )
=> ( ( in @ Y1 @ Y0 )
=> ( in @ Y1 @ '#sk1' ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl11,plain,
~ ( !!
@ ^ [Y0: $i] :
( ( in @ '#sk2' @ '#sk1' )
=> ( ( in @ Y0 @ '#sk2' )
=> ( in @ Y0 @ '#sk1' ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl8]) ).
thf(zip_derived_cl14,plain,
~ ( ( in @ '#sk2' @ '#sk1' )
=> ( ( in @ '#sk3' @ '#sk2' )
=> ( in @ '#sk3' @ '#sk1' ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl11]) ).
thf(zip_derived_cl17,plain,
~ ( ( in @ '#sk3' @ '#sk2' )
=> ( in @ '#sk3' @ '#sk1' ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl14]) ).
thf(zip_derived_cl19,plain,
~ ( in @ '#sk3' @ '#sk1' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl17]) ).
thf(zip_derived_cl18,plain,
in @ '#sk3' @ '#sk2',
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl17]) ).
thf(zip_derived_cl16,plain,
in @ '#sk2' @ '#sk1',
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl14]) ).
thf(zip_derived_cl7,plain,
( !!
@ ^ [Y0: $i] :
( ( in @ Y0 @ '#sk1' )
=> ( subset @ Y0 @ '#sk1' ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl10,plain,
! [X2: $i] :
( ( in @ X2 @ '#sk1' )
=> ( subset @ X2 @ '#sk1' ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl7]) ).
thf(zip_derived_cl13,plain,
! [X2: $i] :
( ~ ( in @ X2 @ '#sk1' )
| ( subset @ X2 @ '#sk1' ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl10]) ).
thf(zip_derived_cl2,plain,
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( subset @ Y0 @ Y1 )
=> ( ( in @ Y2 @ Y0 )
=> ( in @ Y2 @ Y1 ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl4,plain,
! [X2: $i] :
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( subset @ X2 @ Y0 )
=> ( ( in @ Y1 @ X2 )
=> ( in @ Y1 @ Y0 ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl6,plain,
! [X2: $i,X4: $i] :
( !!
@ ^ [Y0: $i] :
( ( subset @ X2 @ X4 )
=> ( ( in @ Y0 @ X2 )
=> ( in @ Y0 @ X4 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl9,plain,
! [X2: $i,X4: $i,X6: $i] :
( ( subset @ X2 @ X4 )
=> ( ( in @ X6 @ X2 )
=> ( in @ X6 @ X4 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl6]) ).
thf(zip_derived_cl12,plain,
! [X2: $i,X4: $i,X6: $i] :
( ~ ( subset @ X2 @ X4 )
| ( ( in @ X6 @ X2 )
=> ( in @ X6 @ X4 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl9]) ).
thf(zip_derived_cl15,plain,
! [X2: $i,X4: $i,X6: $i] :
( ~ ( in @ X6 @ X2 )
| ( in @ X6 @ X4 )
| ~ ( subset @ X2 @ X4 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl12]) ).
thf(zip_derived_cl20,plain,
! [X0: $i,X1: $i] :
( ~ ( in @ X0 @ '#sk1' )
| ( in @ X1 @ '#sk1' )
| ~ ( in @ X1 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl13,zip_derived_cl15]) ).
thf(zip_derived_cl22,plain,
! [X0: $i] :
( ~ ( in @ X0 @ '#sk2' )
| ( in @ X0 @ '#sk1' ) ),
inference('sup-',[status(thm)],[zip_derived_cl16,zip_derived_cl20]) ).
thf(zip_derived_cl28,plain,
in @ '#sk3' @ '#sk1',
inference('sup-',[status(thm)],[zip_derived_cl18,zip_derived_cl22]) ).
thf(zip_derived_cl30,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl19,zip_derived_cl28]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SEU814^2 : TPTP v8.1.2. Released v3.7.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.sZk0wbsg9I true
% 0.15/0.36 % Computer : n031.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Wed Aug 23 15:50:05 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.15/0.36 % Running portfolio for 300 s
% 0.15/0.36 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.36 % Number of cores: 8
% 0.15/0.36 % Python version: Python 3.6.8
% 0.15/0.36 % Running in HO mode
% 0.22/0.63 % Total configuration time : 828
% 0.22/0.63 % Estimated wc time : 1656
% 0.22/0.63 % Estimated cpu time (8 cpus) : 207.0
% 0.22/0.72 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.22/0.72 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 1.20/0.75 % Solved by lams/35_full_unif4.sh.
% 1.20/0.75 % done 7 iterations in 0.012s
% 1.20/0.75 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.20/0.75 % SZS output start Refutation
% See solution above
% 1.20/0.75
% 1.20/0.75
% 1.20/0.76 % Terminating...
% 1.53/0.85 % Runner terminated.
% 1.53/0.86 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------