TSTP Solution File: SEU744^2 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU744^2 : 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.KlCgfgy5cb true
% Computer : n027.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 19:16:57 EDT 2023
% Result : Theorem 0.22s 0.74s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 16
% Syntax : Number of formulae : 28 ( 11 unt; 10 typ; 0 def)
% Number of atoms : 74 ( 4 equ; 0 cnn)
% Maximal formula atoms : 12 ( 4 avg)
% Number of connectives : 263 ( 29 ~; 10 |; 0 &; 186 @)
% ( 0 <=>; 38 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 7 ( 7 >; 0 *; 0 +; 0 <<)
% Number of symbols : 12 ( 10 usr; 7 con; 0-2 aty)
% Number of variables : 49 ( 0 ^; 49 !; 0 ?; 49 :)
% Comments :
%------------------------------------------------------------------------------
thf(setminusER_type,type,
setminusER: $o ).
thf(sk__9_type,type,
sk__9: $i ).
thf(in_type,type,
in: $i > $i > $o ).
thf(binunionTILcontra_type,type,
binunionTILcontra: $o ).
thf(sk__8_type,type,
sk__8: $i ).
thf(sk__7_type,type,
sk__7: $i ).
thf(binunion_type,type,
binunion: $i > $i > $i ).
thf(setminus_type,type,
setminus: $i > $i > $i ).
thf(sk__10_type,type,
sk__10: $i ).
thf(powerset_type,type,
powerset: $i > $i ).
thf(binunionTILcontra,axiom,
( binunionTILcontra
= ( ! [A: $i,X: $i] :
( ( in @ X @ ( powerset @ A ) )
=> ! [Y: $i] :
( ( in @ Y @ ( powerset @ A ) )
=> ! [Xx: $i] :
( ( in @ Xx @ A )
=> ( ~ ( in @ Xx @ ( binunion @ X @ Y ) )
=> ~ ( in @ Xx @ X ) ) ) ) ) ) ) ).
thf('0',plain,
( binunionTILcontra
= ( ! [X4: $i,X6: $i] :
( ( in @ X6 @ ( powerset @ X4 ) )
=> ! [X8: $i] :
( ( in @ X8 @ ( powerset @ X4 ) )
=> ! [X10: $i] :
( ( in @ X10 @ X4 )
=> ( ~ ( in @ X10 @ ( binunion @ X6 @ X8 ) )
=> ~ ( in @ X10 @ X6 ) ) ) ) ) ) ),
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(inComplementUnionImpNotIn1,conjecture,
( setminusER
=> ( binunionTILcontra
=> ! [A: $i,X: $i] :
( ( in @ X @ ( powerset @ A ) )
=> ! [Y: $i] :
( ( in @ Y @ ( powerset @ A ) )
=> ! [Xx: $i] :
( ( in @ Xx @ A )
=> ( ( in @ Xx @ ( setminus @ A @ ( binunion @ X @ Y ) ) )
=> ~ ( in @ Xx @ X ) ) ) ) ) ) ) ).
thf(zf_stmt_0,conjecture,
( ! [X4: $i,X6: $i,X8: $i] :
( ( in @ X8 @ ( setminus @ X4 @ X6 ) )
=> ~ ( in @ X8 @ X6 ) )
=> ( ! [X10: $i,X12: $i] :
( ( in @ X12 @ ( powerset @ X10 ) )
=> ! [X14: $i] :
( ( in @ X14 @ ( powerset @ X10 ) )
=> ! [X16: $i] :
( ( in @ X16 @ X10 )
=> ( ~ ( in @ X16 @ ( binunion @ X12 @ X14 ) )
=> ~ ( in @ X16 @ X12 ) ) ) ) )
=> ! [X18: $i,X20: $i] :
( ( in @ X20 @ ( powerset @ X18 ) )
=> ! [X22: $i] :
( ( in @ X22 @ ( powerset @ X18 ) )
=> ! [X24: $i] :
( ( in @ X24 @ X18 )
=> ( ( in @ X24 @ ( setminus @ X18 @ ( binunion @ X20 @ X22 ) ) )
=> ~ ( in @ X24 @ X20 ) ) ) ) ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ( ! [X4: $i,X6: $i,X8: $i] :
( ( in @ X8 @ ( setminus @ X4 @ X6 ) )
=> ~ ( in @ X8 @ X6 ) )
=> ( ! [X10: $i,X12: $i] :
( ( in @ X12 @ ( powerset @ X10 ) )
=> ! [X14: $i] :
( ( in @ X14 @ ( powerset @ X10 ) )
=> ! [X16: $i] :
( ( in @ X16 @ X10 )
=> ( ~ ( in @ X16 @ ( binunion @ X12 @ X14 ) )
=> ~ ( in @ X16 @ X12 ) ) ) ) )
=> ! [X18: $i,X20: $i] :
( ( in @ X20 @ ( powerset @ X18 ) )
=> ! [X22: $i] :
( ( in @ X22 @ ( powerset @ X18 ) )
=> ! [X24: $i] :
( ( in @ X24 @ X18 )
=> ( ( in @ X24 @ ( setminus @ X18 @ ( binunion @ X20 @ X22 ) ) )
=> ~ ( in @ X24 @ X20 ) ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1,plain,
in @ sk__9 @ ( powerset @ sk__7 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl6,plain,
! [X3: $i,X4: $i,X5: $i,X6: $i] :
( ~ ( in @ X3 @ ( powerset @ X4 ) )
| ( in @ X5 @ ( binunion @ X6 @ X3 ) )
| ~ ( in @ X5 @ X6 )
| ~ ( in @ X5 @ X4 )
| ~ ( in @ X6 @ ( powerset @ X4 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl9,plain,
! [X0: $i,X1: $i] :
( ~ ( in @ X0 @ ( powerset @ sk__7 ) )
| ~ ( in @ X1 @ sk__7 )
| ~ ( in @ X1 @ X0 )
| ( in @ X1 @ ( binunion @ X0 @ sk__9 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl1,zip_derived_cl6]) ).
thf(zip_derived_cl2,plain,
in @ sk__10 @ ( setminus @ sk__7 @ ( binunion @ sk__8 @ sk__9 ) ),
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 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl7,plain,
~ ( in @ sk__10 @ ( binunion @ sk__8 @ sk__9 ) ),
inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl0]) ).
thf(zip_derived_cl19,plain,
( ~ ( in @ sk__10 @ sk__8 )
| ~ ( in @ sk__10 @ sk__7 )
| ~ ( in @ sk__8 @ ( powerset @ sk__7 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl9,zip_derived_cl7]) ).
thf(zip_derived_cl3,plain,
in @ sk__10 @ sk__8,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl4,plain,
in @ sk__10 @ sk__7,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl5,plain,
in @ sk__8 @ ( powerset @ sk__7 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl21,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl19,zip_derived_cl3,zip_derived_cl4,zip_derived_cl5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU744^2 : TPTP v8.1.2. Released v3.7.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.KlCgfgy5cb true
% 0.13/0.34 % Computer : n027.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Wed Aug 23 13:18:01 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % 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
% 0.22/0.71 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.22/0.71 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.22/0.74 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.22/0.74 % Solved by lams/40_c.s.sh.
% 0.22/0.74 % done 12 iterations in 0.014s
% 0.22/0.74 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.22/0.74 % SZS output start Refutation
% See solution above
% 0.22/0.74
% 0.22/0.74
% 0.22/0.75 % Terminating...
% 1.24/0.84 % Runner terminated.
% 1.24/0.85 % Zipperpin 1.5 exiting
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