TSTP Solution File: LCL624^1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : LCL624^1 : 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.ArVC3jdX31 true
% Computer : n012.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 09:00:26 EDT 2023
% Result : Theorem 0.22s 0.77s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 29
% Syntax : Number of formulae : 51 ( 26 unt; 13 typ; 0 def)
% Number of atoms : 86 ( 21 equ; 0 cnn)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 218 ( 25 ~; 19 |; 18 &; 149 @)
% ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 91 ( 91 >; 0 *; 0 +; 0 <<)
% Number of symbols : 15 ( 13 usr; 3 con; 0-3 aty)
% Number of variables : 92 ( 51 ^; 30 !; 11 ?; 92 :)
% Comments :
%------------------------------------------------------------------------------
thf(sk__11_type,type,
sk__11: $i ).
thf(sk__13_type,type,
sk__13: $i ).
thf(sk__9_type,type,
sk__9: $i > $o ).
thf(mor_type,type,
mor: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(mnot_type,type,
mnot: ( $i > $o ) > $i > $o ).
thf(mand_type,type,
mand: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(mimpl_type,type,
mimpl: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(sk__8_type,type,
sk__8: $i > $i > $o ).
thf(mdia_type,type,
mdia: ( $i > $i > $o ) > ( $i > $o ) > $i > $o ).
thf(sk__12_type,type,
sk__12: $i > $i ).
thf(mvalid_type,type,
mvalid: ( $i > $o ) > $o ).
thf(mbox_type,type,
mbox: ( $i > $i > $o ) > ( $i > $o ) > $i > $o ).
thf(sk__10_type,type,
sk__10: $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(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(thm,conjecture,
! [R: $i > $i > $o,P: $i > $o,Q: $i > $o] : ( mvalid @ ( mimpl @ ( mand @ ( mdia @ R @ ( mbox @ R @ P ) ) @ ( mbox @ R @ ( mdia @ R @ Q ) ) ) @ ( mdia @ R @ ( mdia @ R @ ( mand @ P @ Q ) ) ) ) ) ).
thf(zf_stmt_0,conjecture,
! [X4: $i > $i > $o,X6: $i > $o,X8: $i > $o,X10: $i] :
( ~ ( ? [X12: $i] :
( ! [X14: $i] :
( ( X4 @ X12 @ X14 )
=> ( X6 @ X14 ) )
& ( X4 @ X10 @ X12 ) )
& ! [X16: $i] :
( ( X4 @ X10 @ X16 )
=> ? [X18: $i] :
( ( X8 @ X18 )
& ( X4 @ X16 @ X18 ) ) ) )
| ? [X20: $i] :
( ? [X22: $i] :
( ( X6 @ X22 )
& ( X8 @ X22 )
& ( X4 @ X20 @ X22 ) )
& ( X4 @ X10 @ X20 ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ! [X4: $i > $i > $o,X6: $i > $o,X8: $i > $o,X10: $i] :
( ~ ( ? [X12: $i] :
( ! [X14: $i] :
( ( X4 @ X12 @ X14 )
=> ( X6 @ X14 ) )
& ( X4 @ X10 @ X12 ) )
& ! [X16: $i] :
( ( X4 @ X10 @ X16 )
=> ? [X18: $i] :
( ( X8 @ X18 )
& ( X4 @ X16 @ X18 ) ) ) )
| ? [X20: $i] :
( ? [X22: $i] :
( ( X6 @ X22 )
& ( X8 @ X22 )
& ( X4 @ X20 @ X22 ) )
& ( X4 @ X10 @ X20 ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2,plain,
sk__8 @ sk__11 @ sk__13,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl4,plain,
! [X3: $i] :
( ( sk__8 @ X3 @ ( sk__12 @ X3 ) )
| ~ ( sk__8 @ sk__11 @ X3 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl0,plain,
! [X0: $i,X1: $i] :
( ~ ( sk__8 @ X0 @ X1 )
| ~ ( sk__10 @ X1 )
| ~ ( sk__9 @ X1 )
| ~ ( sk__8 @ sk__11 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl14,plain,
! [X0: $i] :
( ~ ( sk__8 @ sk__11 @ X0 )
| ~ ( sk__8 @ sk__11 @ X0 )
| ~ ( sk__9 @ ( sk__12 @ X0 ) )
| ~ ( sk__10 @ ( sk__12 @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl0]) ).
thf(zip_derived_cl17,plain,
! [X0: $i] :
( ~ ( sk__10 @ ( sk__12 @ X0 ) )
| ~ ( sk__9 @ ( sk__12 @ X0 ) )
| ~ ( sk__8 @ sk__11 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl14]) ).
thf(zip_derived_cl3,plain,
! [X3: $i] :
( ( sk__10 @ ( sk__12 @ X3 ) )
| ~ ( sk__8 @ sk__11 @ X3 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl19,plain,
! [X0: $i] :
( ~ ( sk__8 @ sk__11 @ X0 )
| ~ ( sk__9 @ ( sk__12 @ X0 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl17,zip_derived_cl3]) ).
thf(zip_derived_cl20,plain,
~ ( sk__9 @ ( sk__12 @ sk__13 ) ),
inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl19]) ).
thf(zip_derived_cl4_001,plain,
! [X3: $i] :
( ( sk__8 @ X3 @ ( sk__12 @ X3 ) )
| ~ ( sk__8 @ sk__11 @ X3 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl1,plain,
! [X2: $i] :
( ( sk__9 @ X2 )
| ~ ( sk__8 @ sk__13 @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl6,plain,
( ~ ( sk__8 @ sk__11 @ sk__13 )
| ( sk__9 @ ( sk__12 @ sk__13 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl1]) ).
thf(zip_derived_cl2_002,plain,
sk__8 @ sk__11 @ sk__13,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl9,plain,
sk__9 @ ( sk__12 @ sk__13 ),
inference(demod,[status(thm)],[zip_derived_cl6,zip_derived_cl2]) ).
thf(zip_derived_cl24,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl20,zip_derived_cl9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13 % Problem : LCL624^1 : 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.ArVC3jdX31 true
% 0.15/0.35 % Computer : n012.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Thu Aug 24 21:12:41 EDT 2023
% 0.15/0.35 % CPUTime :
% 0.15/0.35 % Running portfolio for 300 s
% 0.15/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.35 % Number of cores: 8
% 0.15/0.36 % Python version: Python 3.6.8
% 0.15/0.36 % Running in HO mode
% 0.22/0.68 % Total configuration time : 828
% 0.22/0.68 % Estimated wc time : 1656
% 0.22/0.68 % Estimated cpu time (8 cpus) : 207.0
% 0.22/0.74 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.22/0.75 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.22/0.75 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.22/0.75 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.22/0.76 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.22/0.77 % Solved by lams/40_c.s.sh.
% 0.22/0.77 % done 11 iterations in 0.013s
% 0.22/0.77 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.22/0.77 % SZS output start Refutation
% See solution above
% 0.22/0.77
% 0.22/0.77
% 0.22/0.77 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.22/0.77 % Terminating...
% 1.58/0.87 % Runner terminated.
% 1.58/0.89 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------