TSTP Solution File: SEU594^2 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU594^2 : 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.5NzQrhUFIr true
% Computer : n008.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 19:14:18 EDT 2023
% Result : Theorem 0.21s 0.76s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 20
% Syntax : Number of formulae : 32 ( 13 unt; 10 typ; 0 def)
% Number of atoms : 85 ( 21 equ; 0 cnn)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 186 ( 6 ~; 6 |; 0 &; 138 @)
% ( 4 <=>; 32 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 11 ( 11 >; 0 *; 0 +; 0 <<)
% Number of symbols : 12 ( 10 usr; 6 con; 0-2 aty)
% Number of variables : 70 ( 15 ^; 55 !; 0 ?; 70 :)
% Comments :
%------------------------------------------------------------------------------
thf(sk__11_type,type,
sk__11: $i ).
thf(sk__10_type,type,
sk__10: $i > $i > $i ).
thf(in_type,type,
in: $i > $i > $o ).
thf(subsetI1_type,type,
subsetI1: $o ).
thf(binintersectEL_type,type,
binintersectEL: $o ).
thf(in__Cong_type,type,
in__Cong: $o ).
thf(subset_type,type,
subset: $i > $i > $o ).
thf(sk__12_type,type,
sk__12: $i ).
thf(dsetconstr_type,type,
dsetconstr: $i > ( $i > $o ) > $i ).
thf(binintersect_type,type,
binintersect: $i > $i > $i ).
thf(binintersectEL,axiom,
( binintersectEL
= ( ! [A: $i,B: $i,Xx: $i] :
( ( in @ Xx @ ( binintersect @ A @ B ) )
=> ( in @ Xx @ A ) ) ) ) ).
thf('0',plain,
( binintersectEL
= ( ! [X4: $i,X6: $i,X8: $i] :
( ( in @ X8 @ ( binintersect @ X4 @ X6 ) )
=> ( in @ X8 @ X4 ) ) ) ),
define([status(thm)]) ).
thf(binintersect,axiom,
( binintersect
= ( ^ [A: $i,B: $i] :
( dsetconstr @ A
@ ^ [Xx: $i] : ( in @ Xx @ B ) ) ) ) ).
thf('1',plain,
( binintersect
= ( ^ [A: $i,B: $i] :
( dsetconstr @ A
@ ^ [Xx: $i] : ( in @ Xx @ B ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[binintersect]) ).
thf('2',plain,
( binintersect
= ( ^ [V_1: $i,V_2: $i] :
( dsetconstr @ V_1
@ ^ [V_3: $i] : ( in @ V_3 @ V_2 ) ) ) ),
define([status(thm)]) ).
thf(subsetI1,axiom,
( subsetI1
= ( ! [A: $i,B: $i] :
( ! [Xx: $i] :
( ( in @ Xx @ A )
=> ( in @ Xx @ B ) )
=> ( subset @ A @ B ) ) ) ) ).
thf('3',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('4',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(binintersectSubset3,conjecture,
( in__Cong
=> ( subsetI1
=> ( binintersectEL
=> ! [A: $i,B: $i] :
( ( ( binintersect @ A @ B )
= B )
=> ( subset @ B @ A ) ) ) ) ) ).
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
@ ( dsetconstr @ X18
@ ^ [V_1: $i] : ( in @ V_1 @ X20 ) ) )
=> ( in @ X22 @ X18 ) )
=> ! [X24: $i,X26: $i] :
( ( ( dsetconstr @ X24
@ ^ [V_2: $i] : ( in @ V_2 @ X26 ) )
= X26 )
=> ( subset @ X26 @ X24 ) ) ) ) ) ).
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
@ ( dsetconstr @ X18
@ ^ [V_1: $i] : ( in @ V_1 @ X20 ) ) )
=> ( in @ X22 @ X18 ) )
=> ! [X24: $i,X26: $i] :
( ( ( dsetconstr @ X24
@ ^ [V_2: $i] : ( in @ V_2 @ X26 ) )
= X26 )
=> ( subset @ X26 @ X24 ) ) ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3,plain,
~ ( subset @ sk__12 @ sk__11 ),
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_cl4,plain,
( ( dsetconstr @ sk__11
@ ^ [Y0: $i] : ( in @ Y0 @ sk__12 ) )
= sk__12 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl2,plain,
! [X4: $i,X5: $i,X6: $i] :
( ( in @ X4 @ X5 )
| ~ ( in @ X4
@ ( dsetconstr @ X5
@ ^ [Y0: $i] : ( in @ Y0 @ X6 ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl15,plain,
! [X0: $i] :
( ~ ( in @ X0 @ sk__12 )
| ( in @ X0 @ sk__11 ) ),
inference('sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl2]) ).
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_cl17,plain,
! [X0: $i] :
( ~ ( in @ ( sk__10 @ sk__11 @ X0 ) @ sk__12 )
| ( subset @ X0 @ sk__11 ) ),
inference('sup-',[status(thm)],[zip_derived_cl15,zip_derived_cl5]) ).
thf(zip_derived_cl22,plain,
( ( subset @ sk__12 @ sk__11 )
| ( subset @ sk__12 @ sk__11 ) ),
inference('sup-',[status(thm)],[zip_derived_cl6,zip_derived_cl17]) ).
thf(zip_derived_cl25,plain,
subset @ sk__12 @ sk__11,
inference(simplify,[status(thm)],[zip_derived_cl22]) ).
thf(zip_derived_cl29,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl3,zip_derived_cl25]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SEU594^2 : TPTP v8.1.2. Released v3.7.0.
% 0.13/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.5NzQrhUFIr true
% 0.13/0.35 % Computer : n008.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Wed Aug 23 15:01:33 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.36 % 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
% 0.21/0.72 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.21/0.73 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.21/0.73 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.21/0.74 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.21/0.76 % Solved by lams/40_c.s.sh.
% 0.21/0.76 % done 11 iterations in 0.011s
% 0.21/0.76 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.21/0.76 % SZS output start Refutation
% See solution above
% 0.21/0.76
% 0.21/0.76
% 0.21/0.76 % Terminating...
% 1.54/0.85 % Runner terminated.
% 1.54/0.86 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------