TSTP Solution File: SEU755^2 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU755^2 : 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.jJnIxq6SCl 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 19:17:05 EDT 2023
% Result : Theorem 0.21s 0.72s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 19
% Syntax : Number of formulae : 40 ( 17 unt; 11 typ; 0 def)
% Number of atoms : 117 ( 6 equ; 0 cnn)
% Maximal formula atoms : 17 ( 4 avg)
% Number of connectives : 415 ( 44 ~; 20 |; 0 &; 295 @)
% ( 0 <=>; 56 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 7 ( 7 >; 0 *; 0 +; 0 <<)
% Number of symbols : 13 ( 11 usr; 8 con; 0-2 aty)
% Number of variables : 69 ( 0 ^; 69 !; 0 ?; 69 :)
% Comments :
%------------------------------------------------------------------------------
thf(setminusI_type,type,
setminusI: $o ).
thf(sk__10_type,type,
sk__10: $i ).
thf(sk__13_type,type,
sk__13: $i ).
thf(in_type,type,
in: $i > $i > $o ).
thf(setminusER_type,type,
setminusER: $o ).
thf(binunion_type,type,
binunion: $i > $i > $i ).
thf(sk__12_type,type,
sk__12: $i ).
thf(setminus_type,type,
setminus: $i > $i > $i ).
thf(powerset_type,type,
powerset: $i > $i ).
thf(sk__11_type,type,
sk__11: $i ).
thf(binunionTEcontra_type,type,
binunionTEcontra: $o ).
thf(binunionTEcontra,axiom,
( binunionTEcontra
= ( ! [A: $i,X: $i] :
( ( in @ X @ ( powerset @ A ) )
=> ! [Y: $i] :
( ( in @ Y @ ( powerset @ A ) )
=> ! [Xx: $i] :
( ( in @ Xx @ A )
=> ( ~ ( in @ Xx @ X )
=> ( ~ ( in @ Xx @ Y )
=> ~ ( in @ Xx @ ( binunion @ X @ Y ) ) ) ) ) ) ) ) ) ).
thf('0',plain,
( binunionTEcontra
= ( ! [X4: $i,X6: $i] :
( ( in @ X6 @ ( powerset @ X4 ) )
=> ! [X8: $i] :
( ( in @ X8 @ ( powerset @ X4 ) )
=> ! [X10: $i] :
( ( in @ X10 @ X4 )
=> ( ~ ( in @ X10 @ X6 )
=> ( ~ ( in @ X10 @ X8 )
=> ~ ( in @ X10 @ ( binunion @ X6 @ X8 ) ) ) ) ) ) ) ) ),
define([status(thm)]) ).
thf(setminusER,axiom,
( setminusER
= ( ! [A: $i,B: $i,Xx: $i] :
( ( in @ Xx @ ( setminus @ A @ B ) )
=> ~ ( in @ Xx @ B ) ) ) ) ).
thf('1',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('2',plain,
( setminusI
= ( ! [X4: $i,X6: $i,X8: $i] :
( ( in @ X8 @ X4 )
=> ( ~ ( in @ X8 @ X6 )
=> ( in @ X8 @ ( setminus @ X4 @ X6 ) ) ) ) ) ),
define([status(thm)]) ).
thf(demorgan2b2,conjecture,
( setminusI
=> ( setminusER
=> ( binunionTEcontra
=> ! [A: $i,X: $i] :
( ( in @ X @ ( powerset @ A ) )
=> ! [Y: $i] :
( ( in @ Y @ ( powerset @ A ) )
=> ! [Xx: $i] :
( ( in @ Xx @ A )
=> ( ( in @ Xx @ ( setminus @ A @ X ) )
=> ( ( in @ Xx @ ( setminus @ A @ Y ) )
=> ( in @ Xx @ ( setminus @ A @ ( binunion @ X @ Y ) ) ) ) ) ) ) ) ) ) ) ).
thf(zf_stmt_0,conjecture,
( ! [X4: $i,X6: $i,X8: $i] :
( ( in @ X8 @ X4 )
=> ( ~ ( in @ X8 @ X6 )
=> ( in @ X8 @ ( setminus @ X4 @ X6 ) ) ) )
=> ( ! [X10: $i,X12: $i,X14: $i] :
( ( in @ X14 @ ( setminus @ X10 @ X12 ) )
=> ~ ( in @ X14 @ X12 ) )
=> ( ! [X16: $i,X18: $i] :
( ( in @ X18 @ ( powerset @ X16 ) )
=> ! [X20: $i] :
( ( in @ X20 @ ( powerset @ X16 ) )
=> ! [X22: $i] :
( ( in @ X22 @ X16 )
=> ( ~ ( in @ X22 @ X18 )
=> ( ~ ( in @ X22 @ X20 )
=> ~ ( in @ X22 @ ( binunion @ X18 @ X20 ) ) ) ) ) ) )
=> ! [X24: $i,X26: $i] :
( ( in @ X26 @ ( powerset @ X24 ) )
=> ! [X28: $i] :
( ( in @ X28 @ ( powerset @ X24 ) )
=> ! [X30: $i] :
( ( in @ X30 @ X24 )
=> ( ( in @ X30 @ ( setminus @ X24 @ X26 ) )
=> ( ( in @ X30 @ ( setminus @ X24 @ X28 ) )
=> ( in @ X30 @ ( setminus @ X24 @ ( binunion @ X26 @ X28 ) ) ) ) ) ) ) ) ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ( ! [X4: $i,X6: $i,X8: $i] :
( ( in @ X8 @ X4 )
=> ( ~ ( in @ X8 @ X6 )
=> ( in @ X8 @ ( setminus @ X4 @ X6 ) ) ) )
=> ( ! [X10: $i,X12: $i,X14: $i] :
( ( in @ X14 @ ( setminus @ X10 @ X12 ) )
=> ~ ( in @ X14 @ X12 ) )
=> ( ! [X16: $i,X18: $i] :
( ( in @ X18 @ ( powerset @ X16 ) )
=> ! [X20: $i] :
( ( in @ X20 @ ( powerset @ X16 ) )
=> ! [X22: $i] :
( ( in @ X22 @ X16 )
=> ( ~ ( in @ X22 @ X18 )
=> ( ~ ( in @ X22 @ X20 )
=> ~ ( in @ X22 @ ( binunion @ X18 @ X20 ) ) ) ) ) ) )
=> ! [X24: $i,X26: $i] :
( ( in @ X26 @ ( powerset @ X24 ) )
=> ! [X28: $i] :
( ( in @ X28 @ ( powerset @ X24 ) )
=> ! [X30: $i] :
( ( in @ X30 @ X24 )
=> ( ( in @ X30 @ ( setminus @ X24 @ X26 ) )
=> ( ( in @ X30 @ ( setminus @ X24 @ X28 ) )
=> ( in @ X30 @ ( setminus @ X24 @ ( binunion @ X26 @ X28 ) ) ) ) ) ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2,plain,
in @ sk__12 @ ( powerset @ sk__10 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl6,plain,
in @ sk__13 @ sk__10,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl0,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( in @ X0 @ X1 )
| ( in @ X0 @ ( setminus @ X2 @ X1 ) )
| ~ ( in @ X0 @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl13,plain,
! [X0: $i] :
( ( in @ sk__13 @ ( setminus @ sk__10 @ X0 ) )
| ( in @ sk__13 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl6,zip_derived_cl0]) ).
thf(zip_derived_cl4,plain,
~ ( in @ sk__13 @ ( setminus @ sk__10 @ ( binunion @ sk__11 @ sk__12 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl25,plain,
in @ sk__13 @ ( binunion @ sk__11 @ sk__12 ),
inference('sup-',[status(thm)],[zip_derived_cl13,zip_derived_cl4]) ).
thf(zip_derived_cl1,plain,
! [X3: $i,X4: $i,X5: $i,X6: $i] :
( ~ ( in @ X3 @ ( powerset @ X4 ) )
| ( in @ X5 @ X6 )
| ~ ( in @ X5 @ ( binunion @ X6 @ X3 ) )
| ( in @ X5 @ X3 )
| ~ ( in @ X5 @ X4 )
| ~ ( in @ X6 @ ( powerset @ X4 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl31,plain,
! [X0: $i] :
( ~ ( in @ sk__11 @ ( powerset @ X0 ) )
| ~ ( in @ sk__13 @ X0 )
| ( in @ sk__13 @ sk__12 )
| ( in @ sk__13 @ sk__11 )
| ~ ( in @ sk__12 @ ( powerset @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl25,zip_derived_cl1]) ).
thf(zip_derived_cl3,plain,
in @ sk__13 @ ( setminus @ sk__10 @ sk__11 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl8,plain,
! [X7: $i,X8: $i,X9: $i] :
( ~ ( in @ X7 @ X8 )
| ~ ( in @ X7 @ ( setminus @ X9 @ X8 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl10,plain,
~ ( in @ sk__13 @ sk__11 ),
inference('sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl8]) ).
thf(zip_derived_cl35,plain,
! [X0: $i] :
( ~ ( in @ sk__11 @ ( powerset @ X0 ) )
| ~ ( in @ sk__13 @ X0 )
| ( in @ sk__13 @ sk__12 )
| ~ ( in @ sk__12 @ ( powerset @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl31,zip_derived_cl10]) ).
thf(zip_derived_cl5,plain,
in @ sk__13 @ ( setminus @ sk__10 @ sk__12 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl8_001,plain,
! [X7: $i,X8: $i,X9: $i] :
( ~ ( in @ X7 @ X8 )
| ~ ( in @ X7 @ ( setminus @ X9 @ X8 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl9,plain,
~ ( in @ sk__13 @ sk__12 ),
inference('sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl8]) ).
thf(zip_derived_cl37,plain,
! [X0: $i] :
( ~ ( in @ sk__12 @ ( powerset @ X0 ) )
| ~ ( in @ sk__13 @ X0 )
| ~ ( in @ sk__11 @ ( powerset @ X0 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl35,zip_derived_cl9]) ).
thf(zip_derived_cl38,plain,
( ~ ( in @ sk__11 @ ( powerset @ sk__10 ) )
| ~ ( in @ sk__13 @ sk__10 ) ),
inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl37]) ).
thf(zip_derived_cl7,plain,
in @ sk__11 @ ( powerset @ sk__10 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl6_002,plain,
in @ sk__13 @ sk__10,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl40,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl38,zip_derived_cl7,zip_derived_cl6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU755^2 : 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.jJnIxq6SCl true
% 0.16/0.34 % Computer : n004.cluster.edu
% 0.16/0.34 % Model : x86_64 x86_64
% 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.34 % Memory : 8042.1875MB
% 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.34 % CPULimit : 300
% 0.16/0.34 % WCLimit : 300
% 0.16/0.34 % DateTime : Wed Aug 23 14:49:38 EDT 2023
% 0.16/0.34 % CPUTime :
% 0.16/0.34 % Running portfolio for 300 s
% 0.16/0.34 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/0.35 % Number of cores: 8
% 0.16/0.35 % Python version: Python 3.6.8
% 0.21/0.35 % Running in HO mode
% 0.21/0.65 % Total configuration time : 828
% 0.21/0.65 % Estimated wc time : 1656
% 0.21/0.65 % Estimated cpu time (8 cpus) : 207.0
% 0.21/0.69 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.21/0.70 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.21/0.72 % Solved by lams/40_c.s.sh.
% 0.21/0.72 % done 16 iterations in 0.016s
% 0.21/0.72 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.21/0.72 % SZS output start Refutation
% See solution above
% 0.21/0.73
% 0.21/0.73
% 0.21/0.73 % Terminating...
% 0.21/0.75 % Runner terminated.
% 0.21/0.76 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------