TSTP Solution File: SEU626^2 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU626^2 : 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.d6R2wWkiLD 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 19:14:50 EDT 2023
% Result : Theorem 0.22s 0.76s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 18
% Syntax : Number of formulae : 27 ( 9 unt; 12 typ; 0 def)
% Number of atoms : 51 ( 4 equ; 0 cnn)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 185 ( 8 ~; 4 |; 0 &; 149 @)
% ( 0 <=>; 24 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 9 ( 9 >; 0 *; 0 +; 0 <<)
% Number of symbols : 14 ( 12 usr; 8 con; 0-2 aty)
% Number of variables : 42 ( 0 ^; 42 !; 0 ?; 42 :)
% Comments :
%------------------------------------------------------------------------------
thf(subset_type,type,
subset: $i > $i > $o ).
thf(in_type,type,
in: $i > $i > $o ).
thf(binunion_type,type,
binunion: $i > $i > $i ).
thf(sk__9_type,type,
sk__9: $i ).
thf(sk__8_type,type,
sk__8: $i ).
thf(setadjoin_type,type,
setadjoin: $i > $i > $i ).
thf(upairsubunion_type,type,
upairsubunion: $o ).
thf(powersetI1_type,type,
powersetI1: $o ).
thf(sk__7_type,type,
sk__7: $i ).
thf(powerset_type,type,
powerset: $i > $i ).
thf(emptyset_type,type,
emptyset: $i ).
thf(sk__6_type,type,
sk__6: $i ).
thf(upairsubunion,axiom,
( upairsubunion
= ( ! [A: $i,B: $i,Xx: $i] :
( ( in @ Xx @ A )
=> ! [Xy: $i] :
( ( in @ Xy @ B )
=> ( subset @ ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) @ ( binunion @ A @ B ) ) ) ) ) ) ).
thf('0',plain,
( upairsubunion
= ( ! [X4: $i,X6: $i,X8: $i] :
( ( in @ X8 @ X4 )
=> ! [X10: $i] :
( ( in @ X10 @ X6 )
=> ( subset @ ( setadjoin @ X8 @ ( setadjoin @ X10 @ emptyset ) ) @ ( binunion @ X4 @ X6 ) ) ) ) ) ),
define([status(thm)]) ).
thf(powersetI1,axiom,
( powersetI1
= ( ! [A: $i,B: $i] :
( ( subset @ B @ A )
=> ( in @ B @ ( powerset @ A ) ) ) ) ) ).
thf('1',plain,
( powersetI1
= ( ! [X4: $i,X6: $i] :
( ( subset @ X6 @ X4 )
=> ( in @ X6 @ ( powerset @ X4 ) ) ) ) ),
define([status(thm)]) ).
thf(upairinpowunion,conjecture,
( powersetI1
=> ( upairsubunion
=> ! [A: $i,B: $i,Xx: $i] :
( ( in @ Xx @ A )
=> ! [Xy: $i] :
( ( in @ Xy @ B )
=> ( in @ ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) @ ( powerset @ ( binunion @ A @ B ) ) ) ) ) ) ) ).
thf(zf_stmt_0,conjecture,
( ! [X4: $i,X6: $i] :
( ( subset @ X6 @ X4 )
=> ( in @ X6 @ ( powerset @ X4 ) ) )
=> ( ! [X8: $i,X10: $i,X12: $i] :
( ( in @ X12 @ X8 )
=> ! [X14: $i] :
( ( in @ X14 @ X10 )
=> ( subset @ ( setadjoin @ X12 @ ( setadjoin @ X14 @ emptyset ) ) @ ( binunion @ X8 @ X10 ) ) ) )
=> ! [X16: $i,X18: $i,X20: $i] :
( ( in @ X20 @ X16 )
=> ! [X22: $i] :
( ( in @ X22 @ X18 )
=> ( in @ ( setadjoin @ X20 @ ( setadjoin @ X22 @ emptyset ) ) @ ( powerset @ ( binunion @ X16 @ X18 ) ) ) ) ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ( ! [X4: $i,X6: $i] :
( ( subset @ X6 @ X4 )
=> ( in @ X6 @ ( powerset @ X4 ) ) )
=> ( ! [X8: $i,X10: $i,X12: $i] :
( ( in @ X12 @ X8 )
=> ! [X14: $i] :
( ( in @ X14 @ X10 )
=> ( subset @ ( setadjoin @ X12 @ ( setadjoin @ X14 @ emptyset ) ) @ ( binunion @ X8 @ X10 ) ) ) )
=> ! [X16: $i,X18: $i,X20: $i] :
( ( in @ X20 @ X16 )
=> ! [X22: $i] :
( ( in @ X22 @ X18 )
=> ( in @ ( setadjoin @ X20 @ ( setadjoin @ X22 @ emptyset ) ) @ ( powerset @ ( binunion @ X16 @ X18 ) ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl4,plain,
! [X2: $i,X3: $i,X4: $i,X5: $i] :
( ~ ( in @ X2 @ X3 )
| ( subset @ ( setadjoin @ X4 @ ( setadjoin @ X2 @ emptyset ) ) @ ( binunion @ X5 @ X3 ) )
| ~ ( in @ X4 @ X5 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl0,plain,
! [X0: $i,X1: $i] :
( ( in @ X0 @ ( powerset @ X1 ) )
| ~ ( subset @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl2,plain,
~ ( in @ ( setadjoin @ sk__8 @ ( setadjoin @ sk__9 @ emptyset ) ) @ ( powerset @ ( binunion @ sk__6 @ sk__7 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl5,plain,
~ ( subset @ ( setadjoin @ sk__8 @ ( setadjoin @ sk__9 @ emptyset ) ) @ ( binunion @ sk__6 @ sk__7 ) ),
inference('sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl2]) ).
thf(zip_derived_cl7,plain,
( ~ ( in @ sk__8 @ sk__6 )
| ~ ( in @ sk__9 @ sk__7 ) ),
inference('sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl5]) ).
thf(zip_derived_cl3,plain,
in @ sk__8 @ sk__6,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl1,plain,
in @ sk__9 @ sk__7,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl9,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl7,zip_derived_cl3,zip_derived_cl1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SEU626^2 : TPTP v8.1.2. Released v3.7.0.
% 0.12/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.d6R2wWkiLD true
% 0.14/0.35 % Computer : n031.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 20:54:35 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % Running portfolio for 300 s
% 0.14/0.36 % File : /export/starexec/sandbox2/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
% 0.22/0.67 % Total configuration time : 828
% 0.22/0.67 % Estimated wc time : 1656
% 0.22/0.67 % Estimated cpu time (8 cpus) : 207.0
% 0.22/0.72 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.22/0.76 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.22/0.76 % Solved by lams/40_c.s.sh.
% 0.22/0.76 % done 5 iterations in 0.009s
% 0.22/0.76 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.22/0.76 % SZS output start Refutation
% See solution above
% 0.22/0.76
% 0.22/0.76
% 0.22/0.76 % Terminating...
% 0.22/0.76 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 1.54/0.87 % Runner terminated.
% 1.54/0.88 % Zipperpin 1.5 exiting
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