TSTP Solution File: SEU580^2 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU580^2 : 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.vcqE2RPjf4 true
% Computer : n023.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 19:14:06 EDT 2023
% Result : Theorem 1.12s 0.72s
% Output : Refutation 1.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 14
% Syntax : Number of formulae : 25 ( 6 unt; 8 typ; 0 def)
% Number of atoms : 51 ( 4 equ; 0 cnn)
% Maximal formula atoms : 6 ( 3 avg)
% Number of connectives : 168 ( 6 ~; 6 |; 0 &; 138 @)
% ( 0 <=>; 18 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 21 ( 21 >; 0 *; 0 +; 0 <<)
% Number of symbols : 10 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 56 ( 9 ^; 47 !; 0 ?; 56 :)
% Comments :
%------------------------------------------------------------------------------
thf(in_type,type,
in: $i > $i > $o ).
thf(powersetI_type,type,
powersetI: $o ).
thf(sk__6_type,type,
sk__6: $i > $i > $i ).
thf(dsetconstr_type,type,
dsetconstr: $i > ( $i > $o ) > $i ).
thf(dsetconstrEL_type,type,
dsetconstrEL: $o ).
thf(sk__8_type,type,
sk__8: $i > $o ).
thf(powerset_type,type,
powerset: $i > $i ).
thf(sk__7_type,type,
sk__7: $i ).
thf(powersetI,axiom,
( powersetI
= ( ! [A: $i,B: $i] :
( ! [Xx: $i] :
( ( in @ Xx @ B )
=> ( in @ Xx @ A ) )
=> ( in @ B @ ( powerset @ A ) ) ) ) ) ).
thf('0',plain,
( powersetI
= ( ! [X4: $i,X6: $i] :
( ! [X8: $i] :
( ( in @ X8 @ X6 )
=> ( in @ X8 @ X4 ) )
=> ( in @ X6 @ ( powerset @ X4 ) ) ) ) ),
define([status(thm)]) ).
thf(dsetconstrEL,axiom,
( dsetconstrEL
= ( ! [A: $i,Xphi: $i > $o,Xx: $i] :
( ( in @ Xx
@ ( dsetconstr @ A
@ ^ [Xy: $i] : ( Xphi @ Xy ) ) )
=> ( in @ Xx @ A ) ) ) ) ).
thf('1',plain,
( dsetconstrEL
= ( ! [X4: $i,X6: $i > $o,X8: $i] :
( ( in @ X8
@ ( dsetconstr @ X4
@ ^ [V_1: $i] : ( X6 @ V_1 ) ) )
=> ( in @ X8 @ X4 ) ) ) ),
define([status(thm)]) ).
thf(sepInPowerset,conjecture,
( dsetconstrEL
=> ( powersetI
=> ! [A: $i,Xphi: $i > $o] :
( in
@ ( dsetconstr @ A
@ ^ [Xx: $i] : ( Xphi @ Xx ) )
@ ( powerset @ A ) ) ) ) ).
thf(zf_stmt_0,conjecture,
( ! [X4: $i,X6: $i > $o,X8: $i] :
( ( in @ X8
@ ( dsetconstr @ X4
@ ^ [V_1: $i] : ( X6 @ V_1 ) ) )
=> ( in @ X8 @ X4 ) )
=> ( ! [X10: $i,X12: $i] :
( ! [X14: $i] :
( ( in @ X14 @ X12 )
=> ( in @ X14 @ X10 ) )
=> ( in @ X12 @ ( powerset @ X10 ) ) )
=> ! [X16: $i,X18: $i > $o] :
( in
@ ( dsetconstr @ X16
@ ^ [V_2: $i] : ( X18 @ V_2 ) )
@ ( powerset @ X16 ) ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ( ! [X4: $i,X6: $i > $o,X8: $i] :
( ( in @ X8
@ ( dsetconstr @ X4
@ ^ [V_1: $i] : ( X6 @ V_1 ) ) )
=> ( in @ X8 @ X4 ) )
=> ( ! [X10: $i,X12: $i] :
( ! [X14: $i] :
( ( in @ X14 @ X12 )
=> ( in @ X14 @ X10 ) )
=> ( in @ X12 @ ( powerset @ X10 ) ) )
=> ! [X16: $i,X18: $i > $o] :
( in
@ ( dsetconstr @ X16
@ ^ [V_2: $i] : ( X18 @ V_2 ) )
@ ( powerset @ X16 ) ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1,plain,
~ ( in
@ ( dsetconstr @ sk__7
@ ^ [Y0: $i] : ( sk__8 @ Y0 ) )
@ ( powerset @ sk__7 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl4,plain,
~ ( in @ ( dsetconstr @ sk__7 @ sk__8 ) @ ( powerset @ sk__7 ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl2,plain,
! [X3: $i,X4: $i] :
( ( in @ X3 @ ( powerset @ X4 ) )
| ~ ( in @ ( sk__6 @ X3 @ X4 ) @ X4 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl3,plain,
! [X3: $i,X4: $i] :
( ( in @ X3 @ ( powerset @ X4 ) )
| ( in @ ( sk__6 @ X3 @ X4 ) @ X3 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl0,plain,
! [X0: $i,X1: $i,X2: $i > $o] :
( ( in @ X0 @ X1 )
| ~ ( in @ X0
@ ( dsetconstr @ X1
@ ^ [Y0: $i] : ( X2 @ Y0 ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl13,plain,
! [X0: $i,X1: $i,X2: $i > $o] :
( ( in @ X0 @ X1 )
| ~ ( in @ X0 @ ( dsetconstr @ X1 @ X2 ) ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl14,plain,
! [X0: $i > $o,X1: $i,X2: $i] :
( ( in @ ( dsetconstr @ X1 @ X0 ) @ ( powerset @ X2 ) )
| ( in @ ( sk__6 @ ( dsetconstr @ X1 @ X0 ) @ X2 ) @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl13]) ).
thf(zip_derived_cl18,plain,
! [X0: $i,X1: $i > $o] :
( ( in @ ( dsetconstr @ X0 @ X1 ) @ ( powerset @ X0 ) )
| ( in @ ( dsetconstr @ X0 @ X1 ) @ ( powerset @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl2,zip_derived_cl14]) ).
thf(zip_derived_cl22,plain,
! [X0: $i,X1: $i > $o] : ( in @ ( dsetconstr @ X0 @ X1 ) @ ( powerset @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl18]) ).
thf(zip_derived_cl26,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl4,zip_derived_cl22]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SEU580^2 : TPTP v8.1.2. Released v3.7.0.
% 0.10/0.12 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.vcqE2RPjf4 true
% 0.10/0.32 % Computer : n023.cluster.edu
% 0.10/0.32 % Model : x86_64 x86_64
% 0.10/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32 % Memory : 8042.1875MB
% 0.10/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32 % CPULimit : 300
% 0.10/0.32 % WCLimit : 300
% 0.10/0.32 % DateTime : Wed Aug 23 17:10:58 EDT 2023
% 0.10/0.32 % CPUTime :
% 0.10/0.32 % Running portfolio for 300 s
% 0.10/0.32 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.32 % Number of cores: 8
% 0.10/0.32 % Python version: Python 3.6.8
% 0.10/0.32 % Running in HO mode
% 0.16/0.57 % Total configuration time : 828
% 0.16/0.57 % Estimated wc time : 1656
% 0.16/0.57 % Estimated cpu time (8 cpus) : 207.0
% 0.16/0.67 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.16/0.67 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.16/0.67 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.16/0.67 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.16/0.68 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 1.12/0.68 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 1.12/0.68 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 1.12/0.69 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 1.12/0.72 % Solved by lams/40_c.s.sh.
% 1.12/0.72 % done 9 iterations in 0.022s
% 1.12/0.72 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.12/0.72 % SZS output start Refutation
% See solution above
% 1.12/0.72
% 1.12/0.72
% 1.12/0.72 % Terminating...
% 1.75/0.77 % Runner terminated.
% 1.75/0.79 % Zipperpin 1.5 exiting
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