TSTP Solution File: LCL586^1 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : LCL586^1 : TPTP v8.1.2. Released v3.6.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.miZeMhq09F true
% Computer : n011.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 09:00:17 EDT 2023
% Result : Theorem 1.05s 0.75s
% Output : Refutation 1.05s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 25
% Syntax : Number of formulae : 37 ( 22 unt; 11 typ; 0 def)
% Number of atoms : 69 ( 18 equ; 0 cnn)
% Maximal formula atoms : 11 ( 2 avg)
% Number of connectives : 97 ( 9 ~; 8 |; 5 &; 70 @)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 67 ( 67 >; 0 *; 0 +; 0 <<)
% Number of symbols : 13 ( 11 usr; 3 con; 0-3 aty)
% Number of variables : 58 ( 42 ^; 11 !; 5 ?; 58 :)
% Comments :
%------------------------------------------------------------------------------
thf(r_type,type,
r: $i > $i > $o ).
thf(mor_type,type,
mor: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(mnot_type,type,
mnot: ( $i > $o ) > $i > $o ).
thf(sk__8_type,type,
sk__8: $i ).
thf(a_type,type,
a: $i > $o ).
thf(b_type,type,
b: $i > $o ).
thf(mimpl_type,type,
mimpl: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(mdia_type,type,
mdia: ( $i > $i > $o ) > ( $i > $o ) > $i > $o ).
thf(sk__9_type,type,
sk__9: $i ).
thf(mvalid_type,type,
mvalid: ( $i > $o ) > $o ).
thf(mbox_type,type,
mbox: ( $i > $i > $o ) > ( $i > $o ) > $i > $o ).
thf(mvalid,axiom,
( mvalid
= ( ^ [P: $i > $o] :
! [W: $i] : ( P @ W ) ) ) ).
thf('0',plain,
( mvalid
= ( ^ [P: $i > $o] :
! [W: $i] : ( P @ W ) ) ),
inference(simplify_rw_rule,[status(thm)],[mvalid]) ).
thf('1',plain,
( mvalid
= ( ^ [V_1: $i > $o] :
! [X4: $i] : ( V_1 @ X4 ) ) ),
define([status(thm)]) ).
thf(mdia,axiom,
( mdia
= ( ^ [R: $i > $i > $o,P: $i > $o,X: $i] :
? [Y: $i] :
( ( P @ Y )
& ( R @ X @ Y ) ) ) ) ).
thf('2',plain,
( mdia
= ( ^ [R: $i > $i > $o,P: $i > $o,X: $i] :
? [Y: $i] :
( ( P @ Y )
& ( R @ X @ Y ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[mdia]) ).
thf('3',plain,
( mdia
= ( ^ [V_1: $i > $i > $o,V_2: $i > $o,V_3: $i] :
? [X4: $i] :
( ( V_2 @ X4 )
& ( V_1 @ V_3 @ X4 ) ) ) ),
define([status(thm)]) ).
thf(mbox,axiom,
( mbox
= ( ^ [R: $i > $i > $o,P: $i > $o,X: $i] :
! [Y: $i] :
( ( R @ X @ Y )
=> ( P @ Y ) ) ) ) ).
thf('4',plain,
( mbox
= ( ^ [R: $i > $i > $o,P: $i > $o,X: $i] :
! [Y: $i] :
( ( R @ X @ Y )
=> ( P @ Y ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[mbox]) ).
thf('5',plain,
( mbox
= ( ^ [V_1: $i > $i > $o,V_2: $i > $o,V_3: $i] :
! [X4: $i] :
( ( V_1 @ V_3 @ X4 )
=> ( V_2 @ X4 ) ) ) ),
define([status(thm)]) ).
thf(mimpl,axiom,
( mimpl
= ( ^ [U: $i > $o,V: $i > $o] : ( mor @ ( mnot @ U ) @ V ) ) ) ).
thf(mor,axiom,
( mor
= ( ^ [X: $i > $o,Y: $i > $o,U: $i] :
( ( X @ U )
| ( Y @ U ) ) ) ) ).
thf('6',plain,
( mor
= ( ^ [X: $i > $o,Y: $i > $o,U: $i] :
( ( X @ U )
| ( Y @ U ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[mor]) ).
thf('7',plain,
( mor
= ( ^ [V_1: $i > $o,V_2: $i > $o,V_3: $i] :
( ( V_1 @ V_3 )
| ( V_2 @ V_3 ) ) ) ),
define([status(thm)]) ).
thf(mnot,axiom,
( mnot
= ( ^ [X: $i > $o,U: $i] :
~ ( X @ U ) ) ) ).
thf('8',plain,
( mnot
= ( ^ [X: $i > $o,U: $i] :
~ ( X @ U ) ) ),
inference(simplify_rw_rule,[status(thm)],[mnot]) ).
thf('9',plain,
( mnot
= ( ^ [V_1: $i > $o,V_2: $i] :
~ ( V_1 @ V_2 ) ) ),
define([status(thm)]) ).
thf('10',plain,
( mimpl
= ( ^ [U: $i > $o,V: $i > $o] : ( mor @ ( mnot @ U ) @ V ) ) ),
inference(simplify_rw_rule,[status(thm)],[mimpl,'7','9']) ).
thf('11',plain,
( mimpl
= ( ^ [V_1: $i > $o,V_2: $i > $o] : ( mor @ ( mnot @ V_1 ) @ V_2 ) ) ),
define([status(thm)]) ).
thf(thm,conjecture,
mvalid @ ( mimpl @ ( mnot @ ( mdia @ r @ a ) ) @ ( mbox @ r @ ( mimpl @ a @ b ) ) ) ).
thf(zf_stmt_0,conjecture,
! [X4: $i] :
( ? [X6: $i] :
( ( a @ X6 )
& ( r @ X4 @ X6 ) )
| ! [X8: $i] :
( ( r @ X4 @ X8 )
=> ( ~ ( a @ X8 )
| ( b @ X8 ) ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ! [X4: $i] :
( ? [X6: $i] :
( ( a @ X6 )
& ( r @ X4 @ X6 ) )
| ! [X8: $i] :
( ( r @ X4 @ X8 )
=> ( ~ ( a @ X8 )
| ( b @ X8 ) ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2,plain,
r @ sk__8 @ sk__9,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl3,plain,
! [X0: $i] :
( ~ ( a @ X0 )
| ~ ( r @ sk__8 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl4,plain,
~ ( a @ sk__9 ),
inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl3]) ).
thf(zip_derived_cl1,plain,
a @ sk__9,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl6,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl4,zip_derived_cl1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : LCL586^1 : TPTP v8.1.2. Released v3.6.0.
% 0.08/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.miZeMhq09F true
% 0.14/0.36 % Computer : n011.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 : Fri Aug 25 02:07:23 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % Running portfolio for 300 s
% 0.14/0.36 % File : /export/starexec/sandbox2/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
% 0.23/0.69 % Total configuration time : 828
% 0.23/0.69 % Estimated wc time : 1656
% 0.23/0.69 % Estimated cpu time (8 cpus) : 207.0
% 1.05/0.72 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 1.05/0.75 % Solved by lams/40_c.s.sh.
% 1.05/0.75 % done 3 iterations in 0.010s
% 1.05/0.75 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.05/0.75 % SZS output start Refutation
% See solution above
% 1.05/0.75
% 1.05/0.75
% 1.05/0.75 % Terminating...
% 1.05/0.78 % Runner terminated.
% 1.05/0.79 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------