TSTP Solution File: LCL604^1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : LCL604^1 : 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.6k1GAzPO9o true
% Computer : n003.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 1.46s 0.80s
% Output : Refutation 1.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 29
% Syntax : Number of formulae : 69 ( 34 unt; 13 typ; 0 def)
% Number of atoms : 118 ( 21 equ; 0 cnn)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 298 ( 35 ~; 35 |; 11 &; 198 @)
% ( 0 <=>; 19 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 78 ( 78 >; 0 *; 0 +; 0 <<)
% Number of symbols : 15 ( 13 usr; 5 con; 0-3 aty)
% Number of variables : 100 ( 39 ^; 61 !; 0 ?; 100 :)
% Comments :
%------------------------------------------------------------------------------
thf(sk__13_type,type,
sk__13: $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(sk__8_type,type,
sk__8: $i > $i > $o ).
thf(transitive_type,type,
transitive: ( $i > $i > $o ) > $o ).
thf(mimpl_type,type,
mimpl: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(sk__10_type,type,
sk__10: $i ).
thf(sk__12_type,type,
sk__12: $i ).
thf(sk__11_type,type,
sk__11: $i ).
thf(mvalid_type,type,
mvalid: ( $i > $o ) > $o ).
thf(reflexive_type,type,
reflexive: ( $i > $i > $o ) > $o ).
thf(mbox_type,type,
mbox: ( $i > $i > $o ) > ( $i > $o ) > $i > $o ).
thf(transitive,axiom,
( transitive
= ( ^ [R: $i > $i > $o] :
! [X: $i,Y: $i,Z: $i] :
( ( ( R @ X @ Y )
& ( R @ Y @ Z ) )
=> ( R @ X @ Z ) ) ) ) ).
thf('0',plain,
( transitive
= ( ^ [R: $i > $i > $o] :
! [X: $i,Y: $i,Z: $i] :
( ( ( R @ X @ Y )
& ( R @ Y @ Z ) )
=> ( R @ X @ Z ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[transitive]) ).
thf('1',plain,
( transitive
= ( ^ [V_1: $i > $i > $o] :
! [X4: $i,X6: $i,X8: $i] :
( ( ( V_1 @ X4 @ X6 )
& ( V_1 @ X6 @ X8 ) )
=> ( V_1 @ X4 @ X8 ) ) ) ),
define([status(thm)]) ).
thf(reflexive,axiom,
( reflexive
= ( ^ [R: $i > $i > $o] :
! [X: $i] : ( R @ X @ X ) ) ) ).
thf('2',plain,
( reflexive
= ( ^ [R: $i > $i > $o] :
! [X: $i] : ( R @ X @ X ) ) ),
inference(simplify_rw_rule,[status(thm)],[reflexive]) ).
thf('3',plain,
( reflexive
= ( ^ [V_1: $i > $i > $o] :
! [X4: $i] : ( V_1 @ X4 @ X4 ) ) ),
define([status(thm)]) ).
thf(mvalid,axiom,
( mvalid
= ( ^ [P: $i > $o] :
! [W: $i] : ( P @ W ) ) ) ).
thf('4',plain,
( mvalid
= ( ^ [P: $i > $o] :
! [W: $i] : ( P @ W ) ) ),
inference(simplify_rw_rule,[status(thm)],[mvalid]) ).
thf('5',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('6',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('7',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('8',plain,
( mor
= ( ^ [X: $i > $o,Y: $i > $o,U: $i] :
( ( X @ U )
| ( Y @ U ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[mor]) ).
thf('9',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('10',plain,
( mnot
= ( ^ [X: $i > $o,U: $i] :
~ ( X @ U ) ) ),
inference(simplify_rw_rule,[status(thm)],[mnot]) ).
thf('11',plain,
( mnot
= ( ^ [V_1: $i > $o,V_2: $i] :
~ ( V_1 @ V_2 ) ) ),
define([status(thm)]) ).
thf('12',plain,
( mimpl
= ( ^ [U: $i > $o,V: $i > $o] : ( mor @ ( mnot @ U ) @ V ) ) ),
inference(simplify_rw_rule,[status(thm)],[mimpl,'9','11']) ).
thf('13',plain,
( mimpl
= ( ^ [V_1: $i > $o,V_2: $i > $o] : ( mor @ ( mnot @ V_1 ) @ V_2 ) ) ),
define([status(thm)]) ).
thf(thm,conjecture,
! [R: $i > $i > $o] :
( ( ( reflexive @ R )
& ( transitive @ R ) )
=> ! [A: $i > $o] :
( ( mvalid @ ( mimpl @ ( mbox @ R @ A ) @ A ) )
& ( mvalid @ ( mimpl @ ( mbox @ R @ A ) @ ( mbox @ R @ ( mbox @ R @ A ) ) ) ) ) ) ).
thf(zf_stmt_0,conjecture,
! [X4: $i > $i > $o] :
( ( ! [X6: $i] : ( X4 @ X6 @ X6 )
& ! [X8: $i,X10: $i,X12: $i] :
( ( ( X4 @ X8 @ X10 )
& ( X4 @ X10 @ X12 ) )
=> ( X4 @ X8 @ X12 ) ) )
=> ! [X14: $i > $o] :
( ! [X16: $i] :
( ~ ! [X18: $i] :
( ( X4 @ X16 @ X18 )
=> ( X14 @ X18 ) )
| ( X14 @ X16 ) )
& ! [X20: $i] :
( ~ ! [X22: $i] :
( ( X4 @ X20 @ X22 )
=> ( X14 @ X22 ) )
| ! [X24: $i] :
( ( X4 @ X20 @ X24 )
=> ! [X26: $i] :
( ( X4 @ X24 @ X26 )
=> ( X14 @ X26 ) ) ) ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ! [X4: $i > $i > $o] :
( ( ! [X6: $i] : ( X4 @ X6 @ X6 )
& ! [X8: $i,X10: $i,X12: $i] :
( ( ( X4 @ X8 @ X10 )
& ( X4 @ X10 @ X12 ) )
=> ( X4 @ X8 @ X12 ) ) )
=> ! [X14: $i > $o] :
( ! [X16: $i] :
( ~ ! [X18: $i] :
( ( X4 @ X16 @ X18 )
=> ( X14 @ X18 ) )
| ( X14 @ X16 ) )
& ! [X20: $i] :
( ~ ! [X22: $i] :
( ( X4 @ X20 @ X22 )
=> ( X14 @ X22 ) )
| ! [X24: $i] :
( ( X4 @ X20 @ X24 )
=> ! [X26: $i] :
( ( X4 @ X24 @ X26 )
=> ( X14 @ X26 ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl0,plain,
! [X0: $i] : ( sk__8 @ X0 @ X0 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl4,plain,
! [X4: $i] :
( ~ ( sk__8 @ sk__10 @ X4 )
| ( sk__9 @ X4 )
| ~ ( sk__9 @ sk__13 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl56,plain,
( ~ ( sk__9 @ sk__13 )
| ( sk__9 @ sk__10 ) ),
inference('sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl4]) ).
thf(zip_derived_cl6,plain,
! [X5: $i] :
( ~ ( sk__9 @ sk__10 )
| ( sk__9 @ X5 )
| ~ ( sk__8 @ sk__11 @ X5 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl0_001,plain,
! [X0: $i] : ( sk__8 @ X0 @ X0 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl3,plain,
! [X4: $i] :
( ~ ( sk__8 @ sk__10 @ X4 )
| ( sk__9 @ X4 )
| ( sk__8 @ sk__11 @ sk__12 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl10,plain,
( ( sk__8 @ sk__11 @ sk__12 )
| ( sk__9 @ sk__10 ) ),
inference('sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl3]) ).
thf(zip_derived_cl7,plain,
( ~ ( sk__9 @ sk__10 )
| ( sk__8 @ sk__11 @ sk__12 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl12,plain,
sk__8 @ sk__11 @ sk__12,
inference(clc,[status(thm)],[zip_derived_cl10,zip_derived_cl7]) ).
thf(zip_derived_cl1,plain,
! [X1: $i,X2: $i,X3: $i] :
( ~ ( sk__8 @ X1 @ X2 )
| ~ ( sk__8 @ X2 @ X3 )
| ( sk__8 @ X1 @ X3 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl22,plain,
! [X0: $i] :
( ( sk__8 @ sk__11 @ X0 )
| ~ ( sk__8 @ sk__12 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl12,zip_derived_cl1]) ).
thf(zip_derived_cl9,plain,
( ~ ( sk__9 @ sk__10 )
| ( sk__8 @ sk__12 @ sk__13 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl33,plain,
( ( sk__8 @ sk__11 @ sk__13 )
| ~ ( sk__9 @ sk__10 ) ),
inference('sup+',[status(thm)],[zip_derived_cl22,zip_derived_cl9]) ).
thf(zip_derived_cl43,plain,
( ( sk__9 @ sk__13 )
| ~ ( sk__9 @ sk__10 )
| ~ ( sk__9 @ sk__10 ) ),
inference('sup+',[status(thm)],[zip_derived_cl6,zip_derived_cl33]) ).
thf(zip_derived_cl47,plain,
( ~ ( sk__9 @ sk__10 )
| ( sk__9 @ sk__13 ) ),
inference(simplify,[status(thm)],[zip_derived_cl43]) ).
thf(zip_derived_cl8,plain,
( ~ ( sk__9 @ sk__10 )
| ~ ( sk__9 @ sk__13 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl51,plain,
~ ( sk__9 @ sk__10 ),
inference(clc,[status(thm)],[zip_derived_cl47,zip_derived_cl8]) ).
thf(zip_derived_cl59,plain,
~ ( sk__9 @ sk__13 ),
inference(demod,[status(thm)],[zip_derived_cl56,zip_derived_cl51]) ).
thf(zip_derived_cl0_002,plain,
! [X0: $i] : ( sk__8 @ X0 @ X0 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl5,plain,
! [X4: $i] :
( ~ ( sk__8 @ sk__10 @ X4 )
| ( sk__9 @ X4 )
| ( sk__8 @ sk__12 @ sk__13 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl75,plain,
( ( sk__8 @ sk__12 @ sk__13 )
| ( sk__9 @ sk__10 ) ),
inference('sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl5]) ).
thf(zip_derived_cl51_003,plain,
~ ( sk__9 @ sk__10 ),
inference(clc,[status(thm)],[zip_derived_cl47,zip_derived_cl8]) ).
thf(zip_derived_cl77,plain,
sk__8 @ sk__12 @ sk__13,
inference(demod,[status(thm)],[zip_derived_cl75,zip_derived_cl51]) ).
thf(zip_derived_cl22_004,plain,
! [X0: $i] :
( ( sk__8 @ sk__11 @ X0 )
| ~ ( sk__8 @ sk__12 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl12,zip_derived_cl1]) ).
thf(zip_derived_cl79,plain,
sk__8 @ sk__11 @ sk__13,
inference('sup-',[status(thm)],[zip_derived_cl77,zip_derived_cl22]) ).
thf(zip_derived_cl0_005,plain,
! [X0: $i] : ( sk__8 @ X0 @ X0 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl2,plain,
! [X4: $i,X5: $i] :
( ~ ( sk__8 @ sk__10 @ X4 )
| ( sk__9 @ X4 )
| ( sk__9 @ X5 )
| ~ ( sk__8 @ sk__11 @ X5 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl63,plain,
! [X0: $i] :
( ~ ( sk__8 @ sk__11 @ X0 )
| ( sk__9 @ X0 )
| ( sk__9 @ sk__10 ) ),
inference('sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl2]) ).
thf(zip_derived_cl51_006,plain,
~ ( sk__9 @ sk__10 ),
inference(clc,[status(thm)],[zip_derived_cl47,zip_derived_cl8]) ).
thf(zip_derived_cl65,plain,
! [X0: $i] :
( ~ ( sk__8 @ sk__11 @ X0 )
| ( sk__9 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl63,zip_derived_cl51]) ).
thf(zip_derived_cl85,plain,
sk__9 @ sk__13,
inference('sup-',[status(thm)],[zip_derived_cl79,zip_derived_cl65]) ).
thf(zip_derived_cl91,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl59,zip_derived_cl85]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : LCL604^1 : TPTP v8.1.2. Released v3.6.0.
% 0.13/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.6k1GAzPO9o true
% 0.13/0.35 % Computer : n003.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 04:54:23 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
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.36 % Running in HO mode
% 0.20/0.67 % Total configuration time : 828
% 0.20/0.67 % Estimated wc time : 1656
% 0.20/0.67 % Estimated cpu time (8 cpus) : 207.0
% 0.20/0.75 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 1.07/0.76 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 1.07/0.76 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 1.07/0.76 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 1.07/0.76 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 1.07/0.77 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 1.07/0.77 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 1.46/0.79 % /export/starexec/sandbox/solver/bin/lams/30_b.l.sh running for 90s
% 1.46/0.80 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 1.46/0.80 % Solved by lams/40_c.s.sh.
% 1.46/0.80 % done 47 iterations in 0.026s
% 1.46/0.80 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.46/0.80 % SZS output start Refutation
% See solution above
% 1.46/0.80
% 1.46/0.80
% 1.46/0.80 % Terminating...
% 1.87/0.87 % Runner terminated.
% 1.87/0.88 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------