TSTP Solution File: SEU586^2 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU586^2 : 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.wLU2i645M2 true
% Computer : n002.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 19:14:10 EDT 2023
% Result : Theorem 0.21s 0.75s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 10
% Syntax : Number of formulae : 19 ( 7 unt; 6 typ; 0 def)
% Number of atoms : 39 ( 2 equ; 0 cnn)
% Maximal formula atoms : 6 ( 3 avg)
% Number of connectives : 126 ( 5 ~; 9 |; 0 &; 86 @)
% ( 0 <=>; 26 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 4 ( 4 >; 0 *; 0 +; 0 <<)
% Number of symbols : 8 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 32 ( 0 ^; 32 !; 0 ?; 32 :)
% Comments :
%------------------------------------------------------------------------------
thf(in_type,type,
in: $i > $i > $o ).
thf(binunionEcases_type,type,
binunionEcases: $o ).
thf(sk__5_type,type,
sk__5: $i ).
thf(binunion_type,type,
binunion: $i > $i > $i ).
thf(sk__6_type,type,
sk__6: $i ).
thf(sk__4_type,type,
sk__4: $i ).
thf(binunionEcases,axiom,
( binunionEcases
= ( ! [A: $i,B: $i,Xx: $i,Xphi: $o] :
( ( in @ Xx @ ( binunion @ A @ B ) )
=> ( ( ( in @ Xx @ A )
=> Xphi )
=> ( ( ( in @ Xx @ B )
=> Xphi )
=> Xphi ) ) ) ) ) ).
thf('0',plain,
( binunionEcases
= ( ! [X4: $i,X6: $i,X8: $i,X10: $o] :
( ( in @ X8 @ ( binunion @ X4 @ X6 ) )
=> ( ( ( in @ X8 @ X4 )
=> X10 )
=> ( ( ( in @ X8 @ X6 )
=> X10 )
=> X10 ) ) ) ) ),
define([status(thm)]) ).
thf(binunionE,conjecture,
( binunionEcases
=> ! [A: $i,B: $i,Xx: $i] :
( ( in @ Xx @ ( binunion @ A @ B ) )
=> ( ( in @ Xx @ A )
| ( in @ Xx @ B ) ) ) ) ).
thf(zf_stmt_0,conjecture,
( ! [X4: $i,X6: $i,X8: $i,X10: $o] :
( ( in @ X8 @ ( binunion @ X4 @ X6 ) )
=> ( ( ( in @ X8 @ X4 )
=> X10 )
=> ( ( ( in @ X8 @ X6 )
=> X10 )
=> X10 ) ) )
=> ! [X12: $i,X14: $i,X16: $i] :
( ( in @ X16 @ ( binunion @ X12 @ X14 ) )
=> ( ( in @ X16 @ X12 )
| ( in @ X16 @ X14 ) ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ( ! [X4: $i,X6: $i,X8: $i,X10: $o] :
( ( in @ X8 @ ( binunion @ X4 @ X6 ) )
=> ( ( ( in @ X8 @ X4 )
=> X10 )
=> ( ( ( in @ X8 @ X6 )
=> X10 )
=> X10 ) ) )
=> ! [X12: $i,X14: $i,X16: $i] :
( ( in @ X16 @ ( binunion @ X12 @ X14 ) )
=> ( ( in @ X16 @ X12 )
| ( in @ X16 @ X14 ) ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl4,plain,
~ ( in @ sk__6 @ sk__5 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl6,plain,
in @ sk__6 @ ( binunion @ sk__4 @ sk__5 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl1,plain,
! [X0: $i,X1: $i,X2: $i,X3: $o] :
( ~ ( in @ X0 @ ( binunion @ X1 @ X2 ) )
| ( in @ X0 @ X2 )
| X3
| ( in @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl7,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( in @ X2 @ ( binunion @ X1 @ X0 ) )
| ( in @ X2 @ X0 )
| ( in @ X2 @ X1 ) ),
inference(condensation,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl8,plain,
( ( in @ sk__6 @ sk__4 )
| ( in @ sk__6 @ sk__5 ) ),
inference('sup-',[status(thm)],[zip_derived_cl6,zip_derived_cl7]) ).
thf(zip_derived_cl5,plain,
~ ( in @ sk__6 @ sk__4 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl10,plain,
in @ sk__6 @ sk__5,
inference(demod,[status(thm)],[zip_derived_cl8,zip_derived_cl5]) ).
thf(zip_derived_cl12,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl4,zip_derived_cl10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU586^2 : 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.wLU2i645M2 true
% 0.14/0.35 % Computer : n002.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 : Thu Aug 24 02:03:33 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.14/0.35 % Python version: Python 3.6.8
% 0.14/0.35 % Running in HO mode
% 0.21/0.63 % Total configuration time : 828
% 0.21/0.63 % Estimated wc time : 1656
% 0.21/0.63 % Estimated cpu time (8 cpus) : 207.0
% 0.21/0.70 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.21/0.75 % Solved by lams/40_c.s.sh.
% 0.21/0.75 % done 4 iterations in 0.008s
% 0.21/0.75 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.21/0.75 % SZS output start Refutation
% See solution above
% 0.21/0.75
% 0.21/0.75
% 0.21/0.75 % Terminating...
% 1.43/0.85 % Runner terminated.
% 1.57/0.87 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------