TSTP Solution File: LCL587^1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : LCL587^1 : TPTP v8.1.2. Released v3.6.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.zEu9phn9tn true
% Computer : n010.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 0.79s
% Output : Refutation 1.05s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 22
% Syntax : Number of formulae : 33 ( 19 unt; 10 typ; 0 def)
% Number of atoms : 62 ( 15 equ; 0 cnn)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 85 ( 10 ~; 8 |; 0 &; 60 @)
% ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 52 ( 52 >; 0 *; 0 +; 0 <<)
% Number of symbols : 12 ( 10 usr; 3 con; 0-3 aty)
% Number of variables : 46 ( 33 ^; 13 !; 0 ?; 46 :)
% 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(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(mbox,axiom,
( mbox
= ( ^ [R: $i > $i > $o,P: $i > $o,X: $i] :
! [Y: $i] :
( ( R @ X @ Y )
=> ( P @ Y ) ) ) ) ).
thf('2',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('3',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('4',plain,
( mor
= ( ^ [X: $i > $o,Y: $i > $o,U: $i] :
( ( X @ U )
| ( Y @ U ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[mor]) ).
thf('5',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('6',plain,
( mnot
= ( ^ [X: $i > $o,U: $i] :
~ ( X @ U ) ) ),
inference(simplify_rw_rule,[status(thm)],[mnot]) ).
thf('7',plain,
( mnot
= ( ^ [V_1: $i > $o,V_2: $i] :
~ ( V_1 @ V_2 ) ) ),
define([status(thm)]) ).
thf('8',plain,
( mimpl
= ( ^ [U: $i > $o,V: $i > $o] : ( mor @ ( mnot @ U ) @ V ) ) ),
inference(simplify_rw_rule,[status(thm)],[mimpl,'5','7']) ).
thf('9',plain,
( mimpl
= ( ^ [V_1: $i > $o,V_2: $i > $o] : ( mor @ ( mnot @ V_1 ) @ V_2 ) ) ),
define([status(thm)]) ).
thf(thm,conjecture,
mvalid @ ( mimpl @ ( mbox @ r @ b ) @ ( mbox @ r @ ( mimpl @ a @ b ) ) ) ).
thf(zf_stmt_0,conjecture,
! [X4: $i] :
( ~ ! [X6: $i] :
( ( r @ X4 @ X6 )
=> ( b @ X6 ) )
| ! [X8: $i] :
( ( r @ X4 @ X8 )
=> ( ~ ( a @ X8 )
| ( b @ X8 ) ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ! [X4: $i] :
( ~ ! [X6: $i] :
( ( r @ X4 @ X6 )
=> ( b @ X6 ) )
| ! [X8: $i] :
( ( r @ X4 @ X8 )
=> ( ~ ( a @ X8 )
| ( b @ X8 ) ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl0,plain,
~ ( b @ sk__9 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl3,plain,
! [X0: $i] :
( ( b @ X0 )
| ~ ( r @ sk__8 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl2,plain,
r @ sk__8 @ sk__9,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl4,plain,
b @ sk__9,
inference('sup+',[status(thm)],[zip_derived_cl3,zip_derived_cl2]) ).
thf(zip_derived_cl8,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl0,zip_derived_cl4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : LCL587^1 : TPTP v8.1.2. Released v3.6.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.zEu9phn9tn true
% 0.13/0.35 % Computer : n010.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 : Fri Aug 25 04:35:35 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.36 % Python version: Python 3.6.8
% 0.13/0.36 % Running in HO mode
% 0.22/0.66 % Total configuration time : 828
% 0.22/0.66 % Estimated wc time : 1656
% 0.22/0.66 % Estimated cpu time (8 cpus) : 207.0
% 1.05/0.76 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 1.05/0.76 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 1.05/0.76 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 1.05/0.77 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 1.05/0.78 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 1.05/0.78 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 1.05/0.78 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 1.05/0.78 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 1.05/0.79 % Solved by lams/40_c_ic.sh.
% 1.05/0.79 % done 4 iterations in 0.011s
% 1.05/0.79 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.05/0.79 % SZS output start Refutation
% See solution above
% 1.05/0.79
% 1.05/0.79
% 1.05/0.79 % Terminating...
% 1.64/0.86 % Runner terminated.
% 1.80/0.87 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------