TSTP Solution File: LCL607^1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : LCL607^1 : 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.1SCLSAZMmi true
% Computer : n022.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 09:00:22 EDT 2023
% Result : Theorem 0.22s 0.76s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 31
% Syntax : Number of formulae : 66 ( 32 unt; 13 typ; 0 def)
% Number of atoms : 123 ( 24 equ; 0 cnn)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 259 ( 35 ~; 35 |; 12 &; 170 @)
% ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 97 ( 97 >; 0 *; 0 +; 0 <<)
% Number of symbols : 15 ( 13 usr; 4 con; 0-3 aty)
% Number of variables : 90 ( 57 ^; 26 !; 7 ?; 90 :)
% Comments :
%------------------------------------------------------------------------------
thf(sk__12_type,type,
sk__12: $i ).
thf(mor_type,type,
mor: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(mnot_type,type,
mnot: ( $i > $o ) > $i > $o ).
thf(sk__9_type,type,
sk__9: $i > $o ).
thf(mand_type,type,
mand: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(sk__11_type,type,
sk__11: $i ).
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__10_type,type,
sk__10: $i ).
thf(miff_type,type,
miff: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(mvalid_type,type,
mvalid: ( $i > $o ) > $o ).
thf(sk__8_type,type,
sk__8: $i > $i > $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(miff,axiom,
( miff
= ( ^ [U: $i > $o,V: $i > $o] : ( mand @ ( mimpl @ U @ V ) @ ( mimpl @ V @ U ) ) ) ) ).
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(mand,axiom,
( mand
= ( ^ [X: $i > $o,Y: $i > $o,U: $i] :
( ( X @ U )
& ( Y @ U ) ) ) ) ).
thf('12',plain,
( mand
= ( ^ [X: $i > $o,Y: $i > $o,U: $i] :
( ( X @ U )
& ( Y @ U ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[mand]) ).
thf('13',plain,
( mand
= ( ^ [V_1: $i > $o,V_2: $i > $o,V_3: $i] :
( ( V_1 @ V_3 )
& ( V_2 @ V_3 ) ) ) ),
define([status(thm)]) ).
thf('14',plain,
( miff
= ( ^ [U: $i > $o,V: $i > $o] : ( mand @ ( mimpl @ U @ V ) @ ( mimpl @ V @ U ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[miff,'11','13','7','9']) ).
thf('15',plain,
( miff
= ( ^ [V_1: $i > $o,V_2: $i > $o] : ( mand @ ( mimpl @ V_1 @ V_2 ) @ ( mimpl @ V_2 @ V_1 ) ) ) ),
define([status(thm)]) ).
thf(thm,conjecture,
! [R: $i > $i > $o,A: $i > $o] : ( mvalid @ ( miff @ ( mdia @ R @ A ) @ ( mnot @ ( mbox @ R @ ( mnot @ A ) ) ) ) ) ).
thf(zf_stmt_0,conjecture,
! [X4: $i > $i > $o,X6: $i > $o,X8: $i] :
( ( ~ ? [X10: $i] :
( ( X6 @ X10 )
& ( X4 @ X8 @ X10 ) )
| ~ ! [X12: $i] :
( ( X4 @ X8 @ X12 )
=> ~ ( X6 @ X12 ) ) )
& ( ! [X14: $i] :
( ( X4 @ X8 @ X14 )
=> ~ ( X6 @ X14 ) )
| ? [X16: $i] :
( ( X6 @ X16 )
& ( X4 @ X8 @ X16 ) ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ! [X4: $i > $i > $o,X6: $i > $o,X8: $i] :
( ( ~ ? [X10: $i] :
( ( X6 @ X10 )
& ( X4 @ X8 @ X10 ) )
| ~ ! [X12: $i] :
( ( X4 @ X8 @ X12 )
=> ~ ( X6 @ X12 ) ) )
& ( ! [X14: $i] :
( ( X4 @ X8 @ X14 )
=> ~ ( X6 @ X14 ) )
| ? [X16: $i] :
( ( X6 @ X16 )
& ( X4 @ X8 @ X16 ) ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl0,plain,
( ( sk__8 @ sk__10 @ sk__11 )
| ( sk__8 @ sk__10 @ sk__12 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl2,plain,
! [X0: $i] :
( ( sk__8 @ sk__10 @ sk__11 )
| ~ ( sk__9 @ X0 )
| ~ ( sk__8 @ sk__10 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl27,plain,
( ( sk__8 @ sk__10 @ sk__11 )
| ~ ( sk__9 @ sk__12 )
| ( sk__8 @ sk__10 @ sk__11 ) ),
inference('sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl2]) ).
thf(zip_derived_cl1,plain,
( ( sk__8 @ sk__10 @ sk__11 )
| ( sk__9 @ sk__12 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl7,plain,
! [X1: $i] :
( ~ ( sk__8 @ sk__10 @ X1 )
| ~ ( sk__9 @ X1 )
| ( sk__9 @ sk__12 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl20,plain,
( ( sk__9 @ sk__12 )
| ( sk__9 @ sk__12 )
| ~ ( sk__9 @ sk__11 ) ),
inference('sup-',[status(thm)],[zip_derived_cl1,zip_derived_cl7]) ).
thf(zip_derived_cl3,plain,
( ( sk__9 @ sk__11 )
| ( sk__8 @ sk__10 @ sk__12 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl5,plain,
! [X0: $i] :
( ( sk__9 @ sk__11 )
| ~ ( sk__9 @ X0 )
| ~ ( sk__8 @ sk__10 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl9,plain,
( ( sk__9 @ sk__11 )
| ~ ( sk__9 @ sk__12 )
| ( sk__9 @ sk__11 ) ),
inference('sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl5]) ).
thf(zip_derived_cl15,plain,
( ~ ( sk__9 @ sk__12 )
| ( sk__9 @ sk__11 ) ),
inference(simplify,[status(thm)],[zip_derived_cl9]) ).
thf(zip_derived_cl4,plain,
( ( sk__9 @ sk__11 )
| ( sk__9 @ sk__12 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl17,plain,
sk__9 @ sk__11,
inference(clc,[status(thm)],[zip_derived_cl15,zip_derived_cl4]) ).
thf(zip_derived_cl23,plain,
( ( sk__9 @ sk__12 )
| ( sk__9 @ sk__12 ) ),
inference(demod,[status(thm)],[zip_derived_cl20,zip_derived_cl17]) ).
thf(zip_derived_cl24,plain,
sk__9 @ sk__12,
inference(simplify,[status(thm)],[zip_derived_cl23]) ).
thf(zip_derived_cl31,plain,
( ( sk__8 @ sk__10 @ sk__11 )
| ( sk__8 @ sk__10 @ sk__11 ) ),
inference(demod,[status(thm)],[zip_derived_cl27,zip_derived_cl24]) ).
thf(zip_derived_cl32,plain,
sk__8 @ sk__10 @ sk__11,
inference(simplify,[status(thm)],[zip_derived_cl31]) ).
thf(zip_derived_cl6,plain,
! [X1: $i] :
( ~ ( sk__8 @ sk__10 @ X1 )
| ~ ( sk__9 @ X1 )
| ( sk__8 @ sk__10 @ sk__12 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl36,plain,
( ( sk__8 @ sk__10 @ sk__12 )
| ~ ( sk__9 @ sk__11 ) ),
inference('sup-',[status(thm)],[zip_derived_cl32,zip_derived_cl6]) ).
thf(zip_derived_cl17_001,plain,
sk__9 @ sk__11,
inference(clc,[status(thm)],[zip_derived_cl15,zip_derived_cl4]) ).
thf(zip_derived_cl40,plain,
sk__8 @ sk__10 @ sk__12,
inference(demod,[status(thm)],[zip_derived_cl36,zip_derived_cl17]) ).
thf(zip_derived_cl8,plain,
! [X0: $i,X1: $i] :
( ~ ( sk__8 @ sk__10 @ X1 )
| ~ ( sk__9 @ X1 )
| ~ ( sk__9 @ X0 )
| ~ ( sk__8 @ sk__10 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl45,plain,
! [X0: $i] :
( ~ ( sk__8 @ sk__10 @ X0 )
| ~ ( sk__9 @ X0 )
| ~ ( sk__9 @ X0 ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl8]) ).
thf(zip_derived_cl46,plain,
! [X0: $i] :
( ~ ( sk__9 @ X0 )
| ~ ( sk__8 @ sk__10 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl45]) ).
thf(zip_derived_cl55,plain,
~ ( sk__9 @ sk__12 ),
inference('sup-',[status(thm)],[zip_derived_cl40,zip_derived_cl46]) ).
thf(zip_derived_cl24_002,plain,
sk__9 @ sk__12,
inference(simplify,[status(thm)],[zip_derived_cl23]) ).
thf(zip_derived_cl59,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl55,zip_derived_cl24]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LCL607^1 : TPTP v8.1.2. Released v3.6.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.1SCLSAZMmi true
% 0.14/0.35 % Computer : n022.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Thu Aug 24 22:22:40 EDT 2023
% 0.21/0.35 % CPUTime :
% 0.21/0.35 % Running portfolio for 300 s
% 0.21/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.35 % Number of cores: 8
% 0.21/0.35 % Python version: Python 3.6.8
% 0.21/0.36 % Running in HO mode
% 0.22/0.65 % Total configuration time : 828
% 0.22/0.65 % Estimated wc time : 1656
% 0.22/0.65 % Estimated cpu time (8 cpus) : 207.0
% 0.22/0.71 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.22/0.72 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.22/0.72 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.22/0.72 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.22/0.73 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.22/0.76 % Solved by lams/40_c.s.sh.
% 0.22/0.76 % done 17 iterations in 0.018s
% 0.22/0.76 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.22/0.76 % SZS output start Refutation
% See solution above
% 0.22/0.76
% 0.22/0.76
% 0.22/0.76 % Terminating...
% 0.95/0.83 % Runner terminated.
% 1.77/0.84 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------