TSTP Solution File: SEU714^2 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU714^2 : 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.cKBdiNPXeg true
% Computer : n005.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 19:16:31 EDT 2023
% Result : Theorem 0.22s 0.76s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 14
% Syntax : Number of formulae : 23 ( 7 unt; 8 typ; 0 def)
% Number of atoms : 49 ( 4 equ; 0 cnn)
% Maximal formula atoms : 7 ( 3 avg)
% Number of connectives : 157 ( 4 ~; 5 |; 0 &; 127 @)
% ( 0 <=>; 21 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 7 ( 7 >; 0 *; 0 +; 0 <<)
% Number of symbols : 10 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 44 ( 0 ^; 44 !; 0 ?; 44 :)
% Comments :
%------------------------------------------------------------------------------
thf(in_type,type,
in: $i > $i > $o ).
thf(powersetI_type,type,
powersetI: $o ).
thf(setminus_type,type,
setminus: $i > $i > $i ).
thf(setminusEL_type,type,
setminusEL: $o ).
thf(sk__6_type,type,
sk__6: $i ).
thf(sk__8_type,type,
sk__8: $i > $i > $i ).
thf(powerset_type,type,
powerset: $i > $i ).
thf(sk__7_type,type,
sk__7: $i ).
thf(setminusEL,axiom,
( setminusEL
= ( ! [A: $i,B: $i,Xx: $i] :
( ( in @ Xx @ ( setminus @ A @ B ) )
=> ( in @ Xx @ A ) ) ) ) ).
thf('0',plain,
( setminusEL
= ( ! [X4: $i,X6: $i,X8: $i] :
( ( in @ X8 @ ( setminus @ X4 @ X6 ) )
=> ( in @ X8 @ X4 ) ) ) ),
define([status(thm)]) ).
thf(powersetI,axiom,
( powersetI
= ( ! [A: $i,B: $i] :
( ! [Xx: $i] :
( ( in @ Xx @ B )
=> ( in @ Xx @ A ) )
=> ( in @ B @ ( powerset @ A ) ) ) ) ) ).
thf('1',plain,
( powersetI
= ( ! [X4: $i,X6: $i] :
( ! [X8: $i] :
( ( in @ X8 @ X6 )
=> ( in @ X8 @ X4 ) )
=> ( in @ X6 @ ( powerset @ X4 ) ) ) ) ),
define([status(thm)]) ).
thf(complementT_lem,conjecture,
( powersetI
=> ( setminusEL
=> ! [A: $i,X: $i] :
( ( in @ X @ ( powerset @ A ) )
=> ( in @ ( setminus @ A @ X ) @ ( powerset @ A ) ) ) ) ) ).
thf(zf_stmt_0,conjecture,
( ! [X4: $i,X6: $i] :
( ! [X8: $i] :
( ( in @ X8 @ X6 )
=> ( in @ X8 @ X4 ) )
=> ( in @ X6 @ ( powerset @ X4 ) ) )
=> ( ! [X10: $i,X12: $i,X14: $i] :
( ( in @ X14 @ ( setminus @ X10 @ X12 ) )
=> ( in @ X14 @ X10 ) )
=> ! [X16: $i,X18: $i] :
( ( in @ X18 @ ( powerset @ X16 ) )
=> ( in @ ( setminus @ X16 @ X18 ) @ ( powerset @ X16 ) ) ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ( ! [X4: $i,X6: $i] :
( ! [X8: $i] :
( ( in @ X8 @ X6 )
=> ( in @ X8 @ X4 ) )
=> ( in @ X6 @ ( powerset @ X4 ) ) )
=> ( ! [X10: $i,X12: $i,X14: $i] :
( ( in @ X14 @ ( setminus @ X10 @ X12 ) )
=> ( in @ X14 @ X10 ) )
=> ! [X16: $i,X18: $i] :
( ( in @ X18 @ ( powerset @ X16 ) )
=> ( in @ ( setminus @ X16 @ X18 ) @ ( powerset @ X16 ) ) ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2,plain,
~ ( in @ ( setminus @ sk__6 @ sk__7 ) @ ( powerset @ sk__6 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl1,plain,
! [X0: $i,X1: $i] :
( ( in @ X0 @ ( powerset @ X1 ) )
| ( in @ ( sk__8 @ X0 @ X1 ) @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl4,plain,
! [X2: $i,X3: $i,X4: $i] :
( ( in @ X2 @ X3 )
| ~ ( in @ X2 @ ( setminus @ X3 @ X4 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl5,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( in @ ( setminus @ X1 @ X0 ) @ ( powerset @ X2 ) )
| ( in @ ( sk__8 @ ( setminus @ X1 @ X0 ) @ X2 ) @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl1,zip_derived_cl4]) ).
thf(zip_derived_cl0,plain,
! [X0: $i,X1: $i] :
( ( in @ X0 @ ( powerset @ X1 ) )
| ~ ( in @ ( sk__8 @ X0 @ X1 ) @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl11,plain,
! [X0: $i,X1: $i] :
( ( in @ ( setminus @ X0 @ X1 ) @ ( powerset @ X0 ) )
| ( in @ ( setminus @ X0 @ X1 ) @ ( powerset @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl0]) ).
thf(zip_derived_cl17,plain,
! [X0: $i,X1: $i] : ( in @ ( setminus @ X0 @ X1 ) @ ( powerset @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl11]) ).
thf(zip_derived_cl25,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl2,zip_derived_cl17]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU714^2 : TPTP v8.1.2. Released v3.7.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.cKBdiNPXeg true
% 0.14/0.35 % Computer : n005.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 15:23:39 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.35 % 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/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.22/0.76 % Solved by lams/40_c.s.sh.
% 0.22/0.76 % done 11 iterations in 0.014s
% 0.22/0.76 % SZS status Theorem for '/export/starexec/sandbox/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...
% 1.11/0.88 % Runner terminated.
% 1.69/0.89 % Zipperpin 1.5 exiting
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