TSTP Solution File: SEU523^2 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU523^2 : 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.YbtmXTH6s9 true
% Computer : n028.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 19:13:32 EDT 2023
% Result : Theorem 1.10s 0.80s
% Output : Refutation 1.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 11
% Syntax : Number of formulae : 42 ( 15 unt; 7 typ; 0 def)
% Number of atoms : 134 ( 8 equ; 0 cnn)
% Maximal formula atoms : 13 ( 3 avg)
% Number of connectives : 364 ( 15 ~; 6 |; 15 &; 250 @)
% ( 8 <=>; 43 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 5 ( 5 >; 0 *; 0 +; 0 <<)
% Number of symbols : 12 ( 7 usr; 8 con; 0-2 aty)
% ( 22 !!; 5 ??; 0 @@+; 0 @@-)
% Number of variables : 71 ( 28 ^; 39 !; 4 ?; 71 :)
% Comments :
%------------------------------------------------------------------------------
thf(in_type,type,
in: $i > $i > $o ).
thf('#sk1_type',type,
'#sk1': $i ).
thf(setunionAx_type,type,
setunionAx: $o ).
thf('#sk4_type',type,
'#sk4': $o ).
thf('#sk2_type',type,
'#sk2': $i ).
thf(setunion_type,type,
setunion: $i > $i ).
thf('#sk3_type',type,
'#sk3': $i > $i > $i ).
thf(setunionAx,axiom,
( setunionAx
= ( ! [A: $i,Xx: $i] :
( ( in @ Xx @ ( setunion @ A ) )
<=> ? [B: $i] :
( ( in @ B @ A )
& ( in @ Xx @ B ) ) ) ) ) ).
thf('0',plain,
( setunionAx
= ( ! [X4: $i,X6: $i] :
( ( in @ X6 @ ( setunion @ X4 ) )
<=> ? [X8: $i] :
( ( in @ X8 @ X4 )
& ( in @ X6 @ X8 ) ) ) ) ),
define([status(thm)]) ).
thf(setunionE,conjecture,
( setunionAx
=> ! [A: $i,Xx: $i] :
( ( in @ Xx @ ( setunion @ A ) )
=> ! [Xphi: $o] :
( ! [B: $i] :
( ( in @ Xx @ B )
=> ( ( in @ B @ A )
=> Xphi ) )
=> Xphi ) ) ) ).
thf(zf_stmt_0,conjecture,
( ! [X4: $i,X6: $i] :
( ( in @ X6 @ ( setunion @ X4 ) )
<=> ? [X8: $i] :
( ( in @ X6 @ X8 )
& ( in @ X8 @ X4 ) ) )
=> ! [X10: $i,X12: $i] :
( ( in @ X12 @ ( setunion @ X10 ) )
=> ! [X14: $o] :
( ! [X16: $i] :
( ( in @ X12 @ X16 )
=> ( ( in @ X16 @ X10 )
=> X14 ) )
=> X14 ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ( ! [X4: $i,X6: $i] :
( ( in @ X6 @ ( setunion @ X4 ) )
<=> ? [X8: $i] :
( ( in @ X6 @ X8 )
& ( in @ X8 @ X4 ) ) )
=> ! [X10: $i,X12: $i] :
( ( in @ X12 @ ( setunion @ X10 ) )
=> ! [X14: $o] :
( ! [X16: $i] :
( ( in @ X12 @ X16 )
=> ( ( in @ X16 @ X10 )
=> X14 ) )
=> X14 ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl0,plain,
~ ( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( in @ Y1 @ ( setunion @ Y0 ) )
<=> ( ??
@ ^ [Y2: $i] :
( ( in @ Y1 @ Y2 )
& ( in @ Y2 @ Y0 ) ) ) ) ) )
=> ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( in @ Y1 @ ( setunion @ Y0 ) )
=> ( !!
@ ^ [Y2: $o] :
( ( !!
@ ^ [Y3: $i] :
( ( in @ Y1 @ Y3 )
=> ( ( in @ Y3 @ Y0 )
=> Y2 ) ) )
=> Y2 ) ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl2,plain,
~ ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( in @ Y1 @ ( setunion @ Y0 ) )
=> ( !!
@ ^ [Y2: $o] :
( ( !!
@ ^ [Y3: $i] :
( ( in @ Y1 @ Y3 )
=> ( ( in @ Y3 @ Y0 )
=> Y2 ) ) )
=> Y2 ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl4,plain,
~ ( !!
@ ^ [Y0: $i] :
( ( in @ Y0 @ ( setunion @ '#sk1' ) )
=> ( !!
@ ^ [Y1: $o] :
( ( !!
@ ^ [Y2: $i] :
( ( in @ Y0 @ Y2 )
=> ( ( in @ Y2 @ '#sk1' )
=> Y1 ) ) )
=> Y1 ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl6,plain,
~ ( ( in @ '#sk2' @ ( setunion @ '#sk1' ) )
=> ( !!
@ ^ [Y0: $o] :
( ( !!
@ ^ [Y1: $i] :
( ( in @ '#sk2' @ Y1 )
=> ( ( in @ Y1 @ '#sk1' )
=> Y0 ) ) )
=> Y0 ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl10,plain,
in @ '#sk2' @ ( setunion @ '#sk1' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl6]) ).
thf(zip_derived_cl1,plain,
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( in @ Y1 @ ( setunion @ Y0 ) )
<=> ( ??
@ ^ [Y2: $i] :
( ( in @ Y1 @ Y2 )
& ( in @ Y2 @ Y0 ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl3,plain,
! [X2: $i] :
( !!
@ ^ [Y0: $i] :
( ( in @ Y0 @ ( setunion @ X2 ) )
<=> ( ??
@ ^ [Y1: $i] :
( ( in @ Y0 @ Y1 )
& ( in @ Y1 @ X2 ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl5,plain,
! [X2: $i,X4: $i] :
( ( in @ X4 @ ( setunion @ X2 ) )
<=> ( ??
@ ^ [Y0: $i] :
( ( in @ X4 @ Y0 )
& ( in @ Y0 @ X2 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl3]) ).
thf(zip_derived_cl7,plain,
! [X2: $i,X4: $i] :
( ( in @ X4 @ ( setunion @ X2 ) )
= ( ??
@ ^ [Y0: $i] :
( ( in @ X4 @ Y0 )
& ( in @ Y0 @ X2 ) ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl9,plain,
! [X2: $i,X4: $i] :
( ( in @ X4 @ ( setunion @ X2 ) )
= ( ^ [Y0: $i] :
( ( in @ X4 @ Y0 )
& ( in @ Y0 @ X2 ) )
@ ( '#sk3' @ X2 @ X4 ) ) ),
inference(quantifier_rw,[status(thm)],[zip_derived_cl7]) ).
thf(zip_derived_cl12,plain,
! [X2: $i,X4: $i] :
( ( in @ X4 @ ( setunion @ X2 ) )
= ( ( in @ X4 @ ( '#sk3' @ X2 @ X4 ) )
& ( in @ ( '#sk3' @ X2 @ X4 ) @ X2 ) ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl9]) ).
thf(zip_derived_cl25,plain,
! [X2: $i,X4: $i] :
( ( in @ X4 @ ( '#sk3' @ X2 @ X4 ) )
| ( ( in @ X4 @ ( setunion @ X2 ) )
= ( $false
& ( in @ ( '#sk3' @ X2 @ X4 ) @ X2 ) ) ) ),
inference(bool_hoist,[status(thm)],[zip_derived_cl12]) ).
thf(zip_derived_cl26,plain,
! [X2: $i,X4: $i] :
( ( in @ X4 @ ( '#sk3' @ X2 @ X4 ) )
| ~ ( in @ X4 @ ( setunion @ X2 ) ) ),
inference('simplify boolean subterms',[status(thm)],[zip_derived_cl25]) ).
thf(zip_derived_cl27,plain,
in @ '#sk2' @ ( '#sk3' @ '#sk1' @ '#sk2' ),
inference('sup-',[status(thm)],[zip_derived_cl10,zip_derived_cl26]) ).
thf(zip_derived_cl12_001,plain,
! [X2: $i,X4: $i] :
( ( in @ X4 @ ( setunion @ X2 ) )
= ( ( in @ X4 @ ( '#sk3' @ X2 @ X4 ) )
& ( in @ ( '#sk3' @ X2 @ X4 ) @ X2 ) ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl9]) ).
thf(zip_derived_cl29,plain,
( ( in @ '#sk2' @ ( setunion @ '#sk1' ) )
= ( $true
& ( in @ ( '#sk3' @ '#sk1' @ '#sk2' ) @ '#sk1' ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl27,zip_derived_cl12]) ).
thf(zip_derived_cl10_002,plain,
in @ '#sk2' @ ( setunion @ '#sk1' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl6]) ).
thf(zip_derived_cl31,plain,
( $true
& ( in @ ( '#sk3' @ '#sk1' @ '#sk2' ) @ '#sk1' ) ),
inference(demod,[status(thm)],[zip_derived_cl29,zip_derived_cl10]) ).
thf(zip_derived_cl32,plain,
in @ ( '#sk3' @ '#sk1' @ '#sk2' ) @ '#sk1',
inference('simplify boolean subterms',[status(thm)],[zip_derived_cl31]) ).
thf(zip_derived_cl11,plain,
~ ( !!
@ ^ [Y0: $o] :
( ( !!
@ ^ [Y1: $i] :
( ( in @ '#sk2' @ Y1 )
=> ( ( in @ Y1 @ '#sk1' )
=> Y0 ) ) )
=> Y0 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl6]) ).
thf(zip_derived_cl16,plain,
~ ( ( !!
@ ^ [Y0: $i] :
( ( in @ '#sk2' @ Y0 )
=> ( ( in @ Y0 @ '#sk1' )
=> '#sk4' ) ) )
=> '#sk4' ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl11]) ).
thf(zip_derived_cl17,plain,
( !!
@ ^ [Y0: $i] :
( ( in @ '#sk2' @ Y0 )
=> ( ( in @ Y0 @ '#sk1' )
=> '#sk4' ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl16]) ).
thf(zip_derived_cl19,plain,
! [X2: $i] :
( ( in @ '#sk2' @ X2 )
=> ( ( in @ X2 @ '#sk1' )
=> '#sk4' ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl17]) ).
thf(zip_derived_cl20,plain,
! [X2: $i] :
( ~ ( in @ '#sk2' @ X2 )
| ( ( in @ X2 @ '#sk1' )
=> '#sk4' ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl19]) ).
thf(zip_derived_cl21,plain,
! [X2: $i] :
( ~ ( in @ X2 @ '#sk1' )
| '#sk4'
| ~ ( in @ '#sk2' @ X2 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl20]) ).
thf(zip_derived_cl18,plain,
~ '#sk4',
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl16]) ).
thf(zip_derived_cl22,plain,
! [X2: $i] :
( ~ ( in @ X2 @ '#sk1' )
| ~ ( in @ '#sk2' @ X2 ) ),
inference(demod,[status(thm)],[zip_derived_cl21,zip_derived_cl18]) ).
thf(zip_derived_cl35,plain,
~ ( in @ '#sk2' @ ( '#sk3' @ '#sk1' @ '#sk2' ) ),
inference('sup-',[status(thm)],[zip_derived_cl32,zip_derived_cl22]) ).
thf(zip_derived_cl27_003,plain,
in @ '#sk2' @ ( '#sk3' @ '#sk1' @ '#sk2' ),
inference('sup-',[status(thm)],[zip_derived_cl10,zip_derived_cl26]) ).
thf(zip_derived_cl37,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl35,zip_derived_cl27]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SEU523^2 : TPTP v8.1.2. Released v3.7.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.YbtmXTH6s9 true
% 0.14/0.35 % Computer : n028.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Wed Aug 23 19:57:04 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % Running portfolio for 300 s
% 0.14/0.36 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.36 % Number of cores: 8
% 0.14/0.36 % Python version: Python 3.6.8
% 0.14/0.36 % Running in HO mode
% 0.22/0.65 % Total configuration time : 828
% 0.22/0.65 % Estimated wc time : 1656
% 0.22/0.65 % Estimated cpu time (8 cpus) : 207.0
% 1.10/0.77 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 1.10/0.77 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 1.10/0.77 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 1.10/0.77 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 1.10/0.77 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 1.10/0.77 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 1.10/0.78 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 1.10/0.80 % Solved by lams/35_full_unif4.sh.
% 1.10/0.80 % done 6 iterations in 0.013s
% 1.10/0.80 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.10/0.80 % SZS output start Refutation
% See solution above
% 1.10/0.80
% 1.10/0.80
% 1.10/0.80 % Terminating...
% 1.53/0.86 % Runner terminated.
% 1.83/0.87 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------