TSTP Solution File: SEU510^2 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU510^2 : 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.uQYtuhMpnc true
% Computer : n004.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 19:13:25 EDT 2023
% Result : Theorem 0.56s 0.77s
% Output : Refutation 0.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 17
% Syntax : Number of formulae : 31 ( 15 unt; 9 typ; 0 def)
% Number of atoms : 56 ( 14 equ; 0 cnn)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 144 ( 17 ~; 8 |; 0 &; 95 @)
% ( 0 <=>; 24 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 16 ( 16 >; 0 *; 0 +; 0 <<)
% Number of symbols : 11 ( 9 usr; 6 con; 0-2 aty)
% Number of variables : 52 ( 12 ^; 40 !; 0 ?; 52 :)
% Comments :
%------------------------------------------------------------------------------
thf(nonempty_type,type,
nonempty: $i > $o ).
thf(in_type,type,
in: $i > $i > $o ).
thf(emptysetE_type,type,
emptysetE: $o ).
thf(dsetconstr_type,type,
dsetconstr: $i > ( $i > $o ) > $i ).
thf(sk__7_type,type,
sk__7: $i ).
thf(dsetconstrI_type,type,
dsetconstrI: $o ).
thf(sk__6_type,type,
sk__6: $i > $o ).
thf(emptyset_type,type,
emptyset: $i ).
thf(sk__5_type,type,
sk__5: $i ).
thf(nonempty,axiom,
( nonempty
= ( ^ [Xx: $i] : ( Xx != emptyset ) ) ) ).
thf('0',plain,
( nonempty
= ( ^ [Xx: $i] : ( Xx != emptyset ) ) ),
inference(simplify_rw_rule,[status(thm)],[nonempty]) ).
thf('1',plain,
( nonempty
= ( ^ [V_1: $i] : ( V_1 != emptyset ) ) ),
define([status(thm)]) ).
thf(emptysetE,axiom,
( emptysetE
= ( ! [Xx: $i] :
( ( in @ Xx @ emptyset )
=> ! [Xphi: $o] : Xphi ) ) ) ).
thf('2',plain,
( emptysetE
= ( ! [X4: $i] :
( ( in @ X4 @ emptyset )
=> ! [X6: $o] : X6 ) ) ),
define([status(thm)]) ).
thf(dsetconstrI,axiom,
( dsetconstrI
= ( ! [A: $i,Xphi: $i > $o,Xx: $i] :
( ( in @ Xx @ A )
=> ( ( Xphi @ Xx )
=> ( in @ Xx
@ ( dsetconstr @ A
@ ^ [Xy: $i] : ( Xphi @ Xy ) ) ) ) ) ) ) ).
thf('3',plain,
( dsetconstrI
= ( ! [X4: $i,X6: $i > $o,X8: $i] :
( ( in @ X8 @ X4 )
=> ( ( X6 @ X8 )
=> ( in @ X8
@ ( dsetconstr @ X4
@ ^ [V_1: $i] : ( X6 @ V_1 ) ) ) ) ) ) ),
define([status(thm)]) ).
thf(nonemptyI,conjecture,
( dsetconstrI
=> ( emptysetE
=> ! [A: $i,Xphi: $i > $o,Xx: $i] :
( ( in @ Xx @ A )
=> ( ( Xphi @ Xx )
=> ( nonempty
@ ( dsetconstr @ A
@ ^ [Xy: $i] : ( Xphi @ Xy ) ) ) ) ) ) ) ).
thf(zf_stmt_0,conjecture,
( ! [X4: $i,X6: $i > $o,X8: $i] :
( ( in @ X8 @ X4 )
=> ( ( X6 @ X8 )
=> ( in @ X8
@ ( dsetconstr @ X4
@ ^ [V_1: $i] : ( X6 @ V_1 ) ) ) ) )
=> ( ! [X10: $i] :
( ( in @ X10 @ emptyset )
=> ! [X12: $o] : X12 )
=> ! [X14: $i,X16: $i > $o,X18: $i] :
( ( in @ X18 @ X14 )
=> ( ( X16 @ X18 )
=> ( ( dsetconstr @ X14
@ ^ [V_2: $i] : ( X16 @ V_2 ) )
!= emptyset ) ) ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ( ! [X4: $i,X6: $i > $o,X8: $i] :
( ( in @ X8 @ X4 )
=> ( ( X6 @ X8 )
=> ( in @ X8
@ ( dsetconstr @ X4
@ ^ [V_1: $i] : ( X6 @ V_1 ) ) ) ) )
=> ( ! [X10: $i] :
( ( in @ X10 @ emptyset )
=> ! [X12: $o] : X12 )
=> ! [X14: $i,X16: $i > $o,X18: $i] :
( ( in @ X18 @ X14 )
=> ( ( X16 @ X18 )
=> ( ( dsetconstr @ X14
@ ^ [V_2: $i] : ( X16 @ V_2 ) )
!= emptyset ) ) ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2,plain,
in @ sk__7 @ sk__5,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl1,plain,
( ( dsetconstr @ sk__5
@ ^ [Y0: $i] : ( sk__6 @ Y0 ) )
= emptyset ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl5,plain,
( ( dsetconstr @ sk__5 @ sk__6 )
= emptyset ),
inference(ho_norm,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl0,plain,
! [X0: $i > $o,X1: $i,X2: $i] :
( ~ ( X0 @ X1 )
| ( in @ X1
@ ( dsetconstr @ X2
@ ^ [Y0: $i] : ( X0 @ Y0 ) ) )
| ~ ( in @ X1 @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl18,plain,
! [X0: $i > $o,X1: $i,X2: $i] :
( ~ ( X0 @ X1 )
| ( in @ X1 @ ( dsetconstr @ X2 @ X0 ) )
| ~ ( in @ X1 @ X2 ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl21,plain,
! [X0: $i] :
( ( in @ X0 @ emptyset )
| ~ ( in @ X0 @ sk__5 )
| ~ ( sk__6 @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl5,zip_derived_cl18]) ).
thf(zip_derived_cl4,plain,
! [X3: $o,X4: $i] :
( X3
| ~ ( in @ X4 @ emptyset ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl12,plain,
! [X0: $i] :
~ ( in @ X0 @ emptyset ),
inference(ho_elim_pred,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl48,plain,
! [X0: $i] :
( ~ ( in @ X0 @ sk__5 )
| ~ ( sk__6 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl21,zip_derived_cl12]) ).
thf(zip_derived_cl60,plain,
~ ( sk__6 @ sk__7 ),
inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl48]) ).
thf(zip_derived_cl3,plain,
sk__6 @ sk__7,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl66,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl60,zip_derived_cl3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU510^2 : 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.uQYtuhMpnc true
% 0.13/0.34 % Computer : n004.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Wed Aug 23 12:30:23 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
% 0.13/0.35 % Running in HO mode
% 0.20/0.63 % Total configuration time : 828
% 0.20/0.63 % Estimated wc time : 1656
% 0.20/0.63 % Estimated cpu time (8 cpus) : 207.0
% 0.20/0.73 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.20/0.75 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.20/0.75 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.20/0.75 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.56/0.77 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.56/0.77 % Solved by lams/40_c.s.sh.
% 0.56/0.77 % done 8 iterations in 0.028s
% 0.56/0.77 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.56/0.77 % SZS output start Refutation
% See solution above
% 0.56/0.77
% 0.56/0.77
% 0.56/0.77 % Terminating...
% 1.72/0.85 % Runner terminated.
% 1.72/0.86 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------