TSTP Solution File: SEU752^2 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU752^2 : 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.qETa0AZ51u true
% Computer : n007.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 19:17:03 EDT 2023
% Result : Theorem 0.24s 0.81s
% Output : Refutation 0.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 26
% Syntax : Number of formulae : 56 ( 25 unt; 14 typ; 0 def)
% Number of atoms : 169 ( 10 equ; 0 cnn)
% Maximal formula atoms : 23 ( 4 avg)
% Number of connectives : 592 ( 55 ~; 32 |; 0 &; 430 @)
% ( 0 <=>; 75 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 9 ( 9 >; 0 *; 0 +; 0 <<)
% Number of symbols : 16 ( 14 usr; 10 con; 0-2 aty)
% Number of variables : 104 ( 0 ^; 104 !; 0 ?; 104 :)
% Comments :
%------------------------------------------------------------------------------
thf(setminusER_type,type,
setminusER: $o ).
thf(in_type,type,
in: $i > $i > $o ).
thf(setminus_type,type,
setminus: $i > $i > $i ).
thf(sk__17_type,type,
sk__17: $i ).
thf(binunion_type,type,
binunion: $i > $i > $i ).
thf(setminusI_type,type,
setminusI: $o ).
thf(binintersect_type,type,
binintersect: $i > $i > $i ).
thf(sk__18_type,type,
sk__18: $i ).
thf(sk__20_type,type,
sk__20: $i ).
thf(binunionE_type,type,
binunionE: $o ).
thf(binintersectTERcontra_type,type,
binintersectTERcontra: $o ).
thf(powerset_type,type,
powerset: $i > $i ).
thf(sk__19_type,type,
sk__19: $i ).
thf(binintersectTELcontra_type,type,
binintersectTELcontra: $o ).
thf(binintersectTERcontra,axiom,
( binintersectTERcontra
= ( ! [A: $i,X: $i] :
( ( in @ X @ ( powerset @ A ) )
=> ! [Y: $i] :
( ( in @ Y @ ( powerset @ A ) )
=> ! [Xx: $i] :
( ( in @ Xx @ A )
=> ( ~ ( in @ Xx @ Y )
=> ~ ( in @ Xx @ ( binintersect @ X @ Y ) ) ) ) ) ) ) ) ).
thf('0',plain,
( binintersectTERcontra
= ( ! [X4: $i,X6: $i] :
( ( in @ X6 @ ( powerset @ X4 ) )
=> ! [X8: $i] :
( ( in @ X8 @ ( powerset @ X4 ) )
=> ! [X10: $i] :
( ( in @ X10 @ X4 )
=> ( ~ ( in @ X10 @ X8 )
=> ~ ( in @ X10 @ ( binintersect @ X6 @ X8 ) ) ) ) ) ) ) ),
define([status(thm)]) ).
thf(binintersectTELcontra,axiom,
( binintersectTELcontra
= ( ! [A: $i,X: $i] :
( ( in @ X @ ( powerset @ A ) )
=> ! [Y: $i] :
( ( in @ Y @ ( powerset @ A ) )
=> ! [Xx: $i] :
( ( in @ Xx @ A )
=> ( ~ ( in @ Xx @ X )
=> ~ ( in @ Xx @ ( binintersect @ X @ Y ) ) ) ) ) ) ) ) ).
thf('1',plain,
( binintersectTELcontra
= ( ! [X4: $i,X6: $i] :
( ( in @ X6 @ ( powerset @ X4 ) )
=> ! [X8: $i] :
( ( in @ X8 @ ( powerset @ X4 ) )
=> ! [X10: $i] :
( ( in @ X10 @ X4 )
=> ( ~ ( in @ X10 @ X6 )
=> ~ ( in @ X10 @ ( binintersect @ X6 @ X8 ) ) ) ) ) ) ) ),
define([status(thm)]) ).
thf(setminusER,axiom,
( setminusER
= ( ! [A: $i,B: $i,Xx: $i] :
( ( in @ Xx @ ( setminus @ A @ B ) )
=> ~ ( in @ Xx @ B ) ) ) ) ).
thf('2',plain,
( setminusER
= ( ! [X4: $i,X6: $i,X8: $i] :
( ( in @ X8 @ ( setminus @ X4 @ X6 ) )
=> ~ ( in @ X8 @ X6 ) ) ) ),
define([status(thm)]) ).
thf(setminusI,axiom,
( setminusI
= ( ! [A: $i,B: $i,Xx: $i] :
( ( in @ Xx @ A )
=> ( ~ ( in @ Xx @ B )
=> ( in @ Xx @ ( setminus @ A @ B ) ) ) ) ) ) ).
thf('3',plain,
( setminusI
= ( ! [X4: $i,X6: $i,X8: $i] :
( ( in @ X8 @ X4 )
=> ( ~ ( in @ X8 @ X6 )
=> ( in @ X8 @ ( setminus @ X4 @ X6 ) ) ) ) ) ),
define([status(thm)]) ).
thf(binunionE,axiom,
( binunionE
= ( ! [A: $i,B: $i,Xx: $i] :
( ( in @ Xx @ ( binunion @ A @ B ) )
=> ( ( in @ Xx @ A )
| ( in @ Xx @ B ) ) ) ) ) ).
thf('4',plain,
( binunionE
= ( ! [X4: $i,X6: $i,X8: $i] :
( ( in @ X8 @ ( binunion @ X4 @ X6 ) )
=> ( ( in @ X8 @ X4 )
| ( in @ X8 @ X6 ) ) ) ) ),
define([status(thm)]) ).
thf(demorgan1b,conjecture,
( binunionE
=> ( setminusI
=> ( setminusER
=> ( binintersectTELcontra
=> ( binintersectTERcontra
=> ! [A: $i,X: $i] :
( ( in @ X @ ( powerset @ A ) )
=> ! [Y: $i] :
( ( in @ Y @ ( powerset @ A ) )
=> ! [Xx: $i] :
( ( in @ Xx @ A )
=> ( ( in @ Xx @ ( binunion @ ( setminus @ A @ X ) @ ( setminus @ A @ Y ) ) )
=> ( in @ Xx @ ( setminus @ A @ ( binintersect @ X @ Y ) ) ) ) ) ) ) ) ) ) ) ) ).
thf(zf_stmt_0,conjecture,
( ! [X4: $i,X6: $i,X8: $i] :
( ( in @ X8 @ ( binunion @ X4 @ X6 ) )
=> ( ( in @ X8 @ X4 )
| ( in @ X8 @ X6 ) ) )
=> ( ! [X10: $i,X12: $i,X14: $i] :
( ( in @ X14 @ X10 )
=> ( ~ ( in @ X14 @ X12 )
=> ( in @ X14 @ ( setminus @ X10 @ X12 ) ) ) )
=> ( ! [X16: $i,X18: $i,X20: $i] :
( ( in @ X20 @ ( setminus @ X16 @ X18 ) )
=> ~ ( in @ X20 @ X18 ) )
=> ( ! [X22: $i,X24: $i] :
( ( in @ X24 @ ( powerset @ X22 ) )
=> ! [X26: $i] :
( ( in @ X26 @ ( powerset @ X22 ) )
=> ! [X28: $i] :
( ( in @ X28 @ X22 )
=> ( ~ ( in @ X28 @ X24 )
=> ~ ( in @ X28 @ ( binintersect @ X24 @ X26 ) ) ) ) ) )
=> ( ! [X30: $i,X32: $i] :
( ( in @ X32 @ ( powerset @ X30 ) )
=> ! [X34: $i] :
( ( in @ X34 @ ( powerset @ X30 ) )
=> ! [X36: $i] :
( ( in @ X36 @ X30 )
=> ( ~ ( in @ X36 @ X34 )
=> ~ ( in @ X36 @ ( binintersect @ X32 @ X34 ) ) ) ) ) )
=> ! [X38: $i,X40: $i] :
( ( in @ X40 @ ( powerset @ X38 ) )
=> ! [X42: $i] :
( ( in @ X42 @ ( powerset @ X38 ) )
=> ! [X44: $i] :
( ( in @ X44 @ X38 )
=> ( ( in @ X44 @ ( binunion @ ( setminus @ X38 @ X40 ) @ ( setminus @ X38 @ X42 ) ) )
=> ( in @ X44 @ ( setminus @ X38 @ ( binintersect @ X40 @ X42 ) ) ) ) ) ) ) ) ) ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ( ! [X4: $i,X6: $i,X8: $i] :
( ( in @ X8 @ ( binunion @ X4 @ X6 ) )
=> ( ( in @ X8 @ X4 )
| ( in @ X8 @ X6 ) ) )
=> ( ! [X10: $i,X12: $i,X14: $i] :
( ( in @ X14 @ X10 )
=> ( ~ ( in @ X14 @ X12 )
=> ( in @ X14 @ ( setminus @ X10 @ X12 ) ) ) )
=> ( ! [X16: $i,X18: $i,X20: $i] :
( ( in @ X20 @ ( setminus @ X16 @ X18 ) )
=> ~ ( in @ X20 @ X18 ) )
=> ( ! [X22: $i,X24: $i] :
( ( in @ X24 @ ( powerset @ X22 ) )
=> ! [X26: $i] :
( ( in @ X26 @ ( powerset @ X22 ) )
=> ! [X28: $i] :
( ( in @ X28 @ X22 )
=> ( ~ ( in @ X28 @ X24 )
=> ~ ( in @ X28 @ ( binintersect @ X24 @ X26 ) ) ) ) ) )
=> ( ! [X30: $i,X32: $i] :
( ( in @ X32 @ ( powerset @ X30 ) )
=> ! [X34: $i] :
( ( in @ X34 @ ( powerset @ X30 ) )
=> ! [X36: $i] :
( ( in @ X36 @ X30 )
=> ( ~ ( in @ X36 @ X34 )
=> ~ ( in @ X36 @ ( binintersect @ X32 @ X34 ) ) ) ) ) )
=> ! [X38: $i,X40: $i] :
( ( in @ X40 @ ( powerset @ X38 ) )
=> ! [X42: $i] :
( ( in @ X42 @ ( powerset @ X38 ) )
=> ! [X44: $i] :
( ( in @ X44 @ X38 )
=> ( ( in @ X44 @ ( binunion @ ( setminus @ X38 @ X40 ) @ ( setminus @ X38 @ X42 ) ) )
=> ( in @ X44 @ ( setminus @ X38 @ ( binintersect @ X40 @ X42 ) ) ) ) ) ) ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3,plain,
in @ sk__19 @ ( powerset @ sk__17 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl6,plain,
in @ sk__20 @ sk__17,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl9,plain,
! [X14: $i,X15: $i,X16: $i] :
( ( in @ X14 @ X15 )
| ( in @ X14 @ ( setminus @ X16 @ X15 ) )
| ~ ( in @ X14 @ X16 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl10,plain,
! [X0: $i] :
( ( in @ sk__20 @ ( setminus @ sk__17 @ X0 ) )
| ( in @ sk__20 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl6,zip_derived_cl9]) ).
thf(zip_derived_cl5,plain,
~ ( in @ sk__20 @ ( setminus @ sk__17 @ ( binintersect @ sk__18 @ sk__19 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl18,plain,
in @ sk__20 @ ( binintersect @ sk__18 @ sk__19 ),
inference('sup-',[status(thm)],[zip_derived_cl10,zip_derived_cl5]) ).
thf(zip_derived_cl8,plain,
! [X10: $i,X11: $i,X12: $i,X13: $i] :
( ~ ( in @ X10 @ ( powerset @ X11 ) )
| ( in @ X12 @ X13 )
| ~ ( in @ X12 @ ( binintersect @ X13 @ X10 ) )
| ~ ( in @ X12 @ X11 )
| ~ ( in @ X13 @ ( powerset @ X11 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl68,plain,
! [X0: $i] :
( ~ ( in @ sk__18 @ ( powerset @ X0 ) )
| ~ ( in @ sk__20 @ X0 )
| ( in @ sk__20 @ sk__18 )
| ~ ( in @ sk__19 @ ( powerset @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl18,zip_derived_cl8]) ).
thf(zip_derived_cl4,plain,
in @ sk__20 @ ( binunion @ ( setminus @ sk__17 @ sk__18 ) @ ( setminus @ sk__17 @ sk__19 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl0,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( in @ X0 @ X1 )
| ( in @ X0 @ X2 )
| ~ ( in @ X0 @ ( binunion @ X2 @ X1 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl30,plain,
( ( in @ sk__20 @ ( setminus @ sk__17 @ sk__18 ) )
| ( in @ sk__20 @ ( setminus @ sk__17 @ sk__19 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl0]) ).
thf(zip_derived_cl1,plain,
! [X3: $i,X4: $i,X5: $i] :
( ~ ( in @ X3 @ X4 )
| ~ ( in @ X3 @ ( setminus @ X5 @ X4 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl50,plain,
( ( in @ sk__20 @ ( setminus @ sk__17 @ sk__18 ) )
| ~ ( in @ sk__20 @ sk__19 ) ),
inference('sup-',[status(thm)],[zip_derived_cl30,zip_derived_cl1]) ).
thf(zip_derived_cl7,plain,
in @ sk__18 @ ( powerset @ sk__17 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl18_001,plain,
in @ sk__20 @ ( binintersect @ sk__18 @ sk__19 ),
inference('sup-',[status(thm)],[zip_derived_cl10,zip_derived_cl5]) ).
thf(zip_derived_cl2,plain,
! [X6: $i,X7: $i,X8: $i,X9: $i] :
( ~ ( in @ X6 @ ( powerset @ X7 ) )
| ( in @ X8 @ X6 )
| ~ ( in @ X8 @ ( binintersect @ X9 @ X6 ) )
| ~ ( in @ X8 @ X7 )
| ~ ( in @ X9 @ ( powerset @ X7 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl36,plain,
! [X0: $i] :
( ~ ( in @ sk__18 @ ( powerset @ X0 ) )
| ~ ( in @ sk__20 @ X0 )
| ( in @ sk__20 @ sk__19 )
| ~ ( in @ sk__19 @ ( powerset @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl18,zip_derived_cl2]) ).
thf(zip_derived_cl40,plain,
( ~ ( in @ sk__19 @ ( powerset @ sk__17 ) )
| ( in @ sk__20 @ sk__19 )
| ~ ( in @ sk__20 @ sk__17 ) ),
inference('sup-',[status(thm)],[zip_derived_cl7,zip_derived_cl36]) ).
thf(zip_derived_cl3_002,plain,
in @ sk__19 @ ( powerset @ sk__17 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl6_003,plain,
in @ sk__20 @ sk__17,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl42,plain,
in @ sk__20 @ sk__19,
inference(demod,[status(thm)],[zip_derived_cl40,zip_derived_cl3,zip_derived_cl6]) ).
thf(zip_derived_cl54,plain,
in @ sk__20 @ ( setminus @ sk__17 @ sk__18 ),
inference(demod,[status(thm)],[zip_derived_cl50,zip_derived_cl42]) ).
thf(zip_derived_cl1_004,plain,
! [X3: $i,X4: $i,X5: $i] :
( ~ ( in @ X3 @ X4 )
| ~ ( in @ X3 @ ( setminus @ X5 @ X4 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl56,plain,
~ ( in @ sk__20 @ sk__18 ),
inference('sup-',[status(thm)],[zip_derived_cl54,zip_derived_cl1]) ).
thf(zip_derived_cl72,plain,
! [X0: $i] :
( ~ ( in @ sk__19 @ ( powerset @ X0 ) )
| ~ ( in @ sk__20 @ X0 )
| ~ ( in @ sk__18 @ ( powerset @ X0 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl68,zip_derived_cl56]) ).
thf(zip_derived_cl73,plain,
( ~ ( in @ sk__18 @ ( powerset @ sk__17 ) )
| ~ ( in @ sk__20 @ sk__17 ) ),
inference('sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl72]) ).
thf(zip_derived_cl7_005,plain,
in @ sk__18 @ ( powerset @ sk__17 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl6_006,plain,
in @ sk__20 @ sk__17,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl75,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl73,zip_derived_cl7,zip_derived_cl6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : SEU752^2 : TPTP v8.1.2. Released v3.7.0.
% 0.00/0.15 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.qETa0AZ51u true
% 0.15/0.37 % Computer : n007.cluster.edu
% 0.15/0.37 % Model : x86_64 x86_64
% 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37 % Memory : 8042.1875MB
% 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 300
% 0.15/0.37 % WCLimit : 300
% 0.15/0.37 % DateTime : Wed Aug 23 14:41:24 EDT 2023
% 0.15/0.37 % CPUTime :
% 0.15/0.37 % Running portfolio for 300 s
% 0.15/0.37 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.38 % Number of cores: 8
% 0.15/0.38 % Python version: Python 3.6.8
% 0.15/0.38 % Running in HO mode
% 0.24/0.66 % Total configuration time : 828
% 0.24/0.66 % Estimated wc time : 1656
% 0.24/0.66 % Estimated cpu time (8 cpus) : 207.0
% 0.24/0.74 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.24/0.75 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.24/0.75 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.24/0.77 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.24/0.78 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.24/0.78 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.24/0.81 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 0.24/0.81 % Solved by lams/40_c.s.sh.
% 0.24/0.81 % done 31 iterations in 0.029s
% 0.24/0.81 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.24/0.81 % SZS output start Refutation
% See solution above
% 0.24/0.81
% 0.24/0.81
% 0.24/0.81 % Terminating...
% 0.24/0.88 % Runner terminated.
% 0.24/0.89 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------