TSTP Solution File: SEU599^2 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU599^2 : 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.mUYbwH4eqS true
% Computer : n028.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 19:14:29 EDT 2023
% Result : Theorem 0.22s 0.74s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 17
% Syntax : Number of formulae : 28 ( 10 unt; 9 typ; 0 def)
% Number of atoms : 73 ( 18 equ; 0 cnn)
% Maximal formula atoms : 11 ( 3 avg)
% Number of connectives : 162 ( 6 ~; 6 |; 0 &; 114 @)
% ( 4 <=>; 32 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 8 ( 8 >; 0 *; 0 +; 0 <<)
% Number of symbols : 11 ( 9 usr; 6 con; 0-2 aty)
% Number of variables : 55 ( 0 ^; 55 !; 0 ?; 55 :)
% Comments :
%------------------------------------------------------------------------------
thf(sk__12_type,type,
sk__12: $i ).
thf(binintersect_type,type,
binintersect: $i > $i > $i ).
thf(in_type,type,
in: $i > $i > $o ).
thf(subset_type,type,
subset: $i > $i > $o ).
thf(subsetI1_type,type,
subsetI1: $o ).
thf(sk__11_type,type,
sk__11: $i ).
thf(in__Cong_type,type,
in__Cong: $o ).
thf(sk__10_type,type,
sk__10: $i > $i > $i ).
thf(binintersectER_type,type,
binintersectER: $o ).
thf(binintersectER,axiom,
( binintersectER
= ( ! [A: $i,B: $i,Xx: $i] :
( ( in @ Xx @ ( binintersect @ A @ B ) )
=> ( in @ Xx @ B ) ) ) ) ).
thf('0',plain,
( binintersectER
= ( ! [X4: $i,X6: $i,X8: $i] :
( ( in @ X8 @ ( binintersect @ X4 @ X6 ) )
=> ( in @ X8 @ X6 ) ) ) ),
define([status(thm)]) ).
thf(subsetI1,axiom,
( subsetI1
= ( ! [A: $i,B: $i] :
( ! [Xx: $i] :
( ( in @ Xx @ A )
=> ( in @ Xx @ B ) )
=> ( subset @ A @ B ) ) ) ) ).
thf('1',plain,
( subsetI1
= ( ! [X4: $i,X6: $i] :
( ! [X8: $i] :
( ( in @ X8 @ X4 )
=> ( in @ X8 @ X6 ) )
=> ( subset @ X4 @ X6 ) ) ) ),
define([status(thm)]) ).
thf(in__Cong,axiom,
( in__Cong
= ( ! [A: $i,B: $i] :
( ( A = B )
=> ! [Xx: $i,Xy: $i] :
( ( Xx = Xy )
=> ( ( in @ Xx @ A )
<=> ( in @ Xy @ B ) ) ) ) ) ) ).
thf('2',plain,
( in__Cong
= ( ! [X4: $i,X6: $i] :
( ( X4 = X6 )
=> ! [X8: $i,X10: $i] :
( ( X8 = X10 )
=> ( ( in @ X8 @ X4 )
<=> ( in @ X10 @ X6 ) ) ) ) ) ),
define([status(thm)]) ).
thf(binintersectSubset1,conjecture,
( in__Cong
=> ( subsetI1
=> ( binintersectER
=> ! [A: $i,B: $i] :
( ( ( binintersect @ A @ B )
= A )
=> ( subset @ A @ B ) ) ) ) ) ).
thf(zf_stmt_0,conjecture,
( ! [X4: $i,X6: $i] :
( ( X4 = X6 )
=> ! [X8: $i,X10: $i] :
( ( X8 = X10 )
=> ( ( in @ X8 @ X4 )
<=> ( in @ X10 @ X6 ) ) ) )
=> ( ! [X12: $i,X14: $i] :
( ! [X16: $i] :
( ( in @ X16 @ X12 )
=> ( in @ X16 @ X14 ) )
=> ( subset @ X12 @ X14 ) )
=> ( ! [X18: $i,X20: $i,X22: $i] :
( ( in @ X22 @ ( binintersect @ X18 @ X20 ) )
=> ( in @ X22 @ X20 ) )
=> ! [X24: $i,X26: $i] :
( ( ( binintersect @ X24 @ X26 )
= X24 )
=> ( subset @ X24 @ X26 ) ) ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ( ! [X4: $i,X6: $i] :
( ( X4 = X6 )
=> ! [X8: $i,X10: $i] :
( ( X8 = X10 )
=> ( ( in @ X8 @ X4 )
<=> ( in @ X10 @ X6 ) ) ) )
=> ( ! [X12: $i,X14: $i] :
( ! [X16: $i] :
( ( in @ X16 @ X12 )
=> ( in @ X16 @ X14 ) )
=> ( subset @ X12 @ X14 ) )
=> ( ! [X18: $i,X20: $i,X22: $i] :
( ( in @ X22 @ ( binintersect @ X18 @ X20 ) )
=> ( in @ X22 @ X20 ) )
=> ! [X24: $i,X26: $i] :
( ( ( binintersect @ X24 @ X26 )
= X24 )
=> ( subset @ X24 @ X26 ) ) ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3,plain,
~ ( subset @ sk__11 @ sk__12 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl6,plain,
! [X7: $i,X8: $i] :
( ( subset @ X7 @ X8 )
| ( in @ ( sk__10 @ X8 @ X7 ) @ X7 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl5,plain,
! [X7: $i,X8: $i] :
( ( subset @ X7 @ X8 )
| ~ ( in @ ( sk__10 @ X8 @ X7 ) @ X8 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl4,plain,
( ( binintersect @ sk__11 @ sk__12 )
= sk__11 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl2,plain,
! [X4: $i,X5: $i,X6: $i] :
( ( in @ X4 @ X5 )
| ~ ( in @ X4 @ ( binintersect @ X6 @ X5 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl7,plain,
! [X0: $i] :
( ~ ( in @ X0 @ sk__11 )
| ( in @ X0 @ sk__12 ) ),
inference('sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl2]) ).
thf(zip_derived_cl12,plain,
! [X0: $i] :
( ( subset @ X0 @ sk__12 )
| ~ ( in @ ( sk__10 @ sk__12 @ X0 ) @ sk__11 ) ),
inference('sup+',[status(thm)],[zip_derived_cl5,zip_derived_cl7]) ).
thf(zip_derived_cl24,plain,
( ( subset @ sk__11 @ sk__12 )
| ( subset @ sk__11 @ sk__12 ) ),
inference('sup-',[status(thm)],[zip_derived_cl6,zip_derived_cl12]) ).
thf(zip_derived_cl27,plain,
subset @ sk__11 @ sk__12,
inference(simplify,[status(thm)],[zip_derived_cl24]) ).
thf(zip_derived_cl32,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl3,zip_derived_cl27]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SEU599^2 : 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.mUYbwH4eqS true
% 0.14/0.36 % Computer : n028.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Wed Aug 23 21:39:04 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % Running portfolio for 300 s
% 0.14/0.36 % File : /export/starexec/sandbox/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
% 0.22/0.64 % Total configuration time : 828
% 0.22/0.64 % Estimated wc time : 1656
% 0.22/0.64 % Estimated cpu time (8 cpus) : 207.0
% 0.22/0.71 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.22/0.74 % Solved by lams/40_c.s.sh.
% 0.22/0.74 % done 13 iterations in 0.012s
% 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
% 0.22/0.74 % Terminating...
% 0.22/0.75 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 1.53/0.86 % Runner terminated.
% 1.53/0.87 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------