TSTP Solution File: LCL612^1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : LCL612^1 : 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.FwHkaYO8bV true
% Computer : n027.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 09:00:24 EDT 2023
% Result : Theorem 0.20s 0.78s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 17
% Syntax : Number of formulae : 36 ( 16 unt; 7 typ; 0 def)
% Number of atoms : 85 ( 12 equ; 7 cnn)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 165 ( 20 ~; 13 |; 8 &; 94 @)
% ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 54 ( 54 >; 0 *; 0 +; 0 <<)
% Number of symbols : 11 ( 7 usr; 4 con; 0-3 aty)
% ( 23 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 69 ( 47 ^; 22 !; 0 ?; 69 :)
% Comments :
%------------------------------------------------------------------------------
thf(mor_type,type,
mor: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(mnot_type,type,
mnot: ( $i > $o ) > $i > $o ).
thf('#sk2_type',type,
'#sk2': $i > $o ).
thf('#sk3_type',type,
'#sk3': $i > $o ).
thf(mimpl_type,type,
mimpl: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(mvalid_type,type,
mvalid: ( $i > $o ) > $o ).
thf('#sk4_type',type,
'#sk4': $i ).
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(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('2',plain,
( mor
= ( ^ [X: $i > $o,Y: $i > $o,U: $i] :
( ( X @ U )
| ( Y @ U ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[mor]) ).
thf('3',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('4',plain,
( mnot
= ( ^ [X: $i > $o,U: $i] :
~ ( X @ U ) ) ),
inference(simplify_rw_rule,[status(thm)],[mnot]) ).
thf('5',plain,
( mnot
= ( ^ [V_1: $i > $o,V_2: $i] :
~ ( V_1 @ V_2 ) ) ),
define([status(thm)]) ).
thf('6',plain,
( mimpl
= ( ^ [U: $i > $o,V: $i > $o] : ( mor @ ( mnot @ U ) @ V ) ) ),
inference(simplify_rw_rule,[status(thm)],[mimpl,'3','5']) ).
thf('7',plain,
( mimpl
= ( ^ [V_1: $i > $o,V_2: $i > $o] : ( mor @ ( mnot @ V_1 ) @ V_2 ) ) ),
define([status(thm)]) ).
thf(modus_ponens,conjecture,
! [R: $i > $i > $o,X: $i > $o,Y: $i > $o] :
( ( ( mvalid @ X )
& ( mvalid @ ( mimpl @ X @ Y ) ) )
=> ( mvalid @ Y ) ) ).
thf(zf_stmt_0,conjecture,
! [X4: $i > $i > $o,X6: $i > $o,X8: $i > $o] :
( ( ! [X12: $i] :
( ( X8 @ X12 )
| ~ ( X6 @ X12 ) )
& ! [X10: $i] : ( X6 @ X10 ) )
=> ! [X14: $i] : ( X8 @ X14 ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ! [X4: $i > $i > $o,X6: $i > $o,X8: $i > $o] :
( ( ! [X12: $i] :
( ( X8 @ X12 )
| ~ ( X6 @ X12 ) )
& ! [X10: $i] : ( X6 @ X10 ) )
=> ! [X14: $i] : ( X8 @ X14 ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl0,plain,
~ ( !!
@ ^ [Y0: $i > $i > $o] :
( !!
@ ^ [Y1: $i > $o] :
( !!
@ ^ [Y2: $i > $o] :
( ( ( !!
@ ^ [Y3: $i] :
( ( Y2 @ Y3 )
| ( (~) @ ( Y1 @ Y3 ) ) ) )
& ( !!
@ ^ [Y3: $i] : ( Y1 @ Y3 ) ) )
=> ( !!
@ ^ [Y3: $i] : ( Y2 @ Y3 ) ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl1,plain,
~ ( !!
@ ^ [Y0: $i > $o] :
( !!
@ ^ [Y1: $i > $o] :
( ( ( !!
@ ^ [Y2: $i] :
( ( Y1 @ Y2 )
| ( (~) @ ( Y0 @ Y2 ) ) ) )
& ( !!
@ ^ [Y2: $i] : ( Y0 @ Y2 ) ) )
=> ( !!
@ ^ [Y2: $i] : ( Y1 @ Y2 ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl2,plain,
~ ( !!
@ ^ [Y0: $i > $o] :
( ( ( !!
@ ^ [Y1: $i] :
( ( Y0 @ Y1 )
| ( (~) @ ( '#sk2' @ Y1 ) ) ) )
& ( !!
@ ^ [Y1: $i] : ( '#sk2' @ Y1 ) ) )
=> ( !!
@ ^ [Y1: $i] : ( Y0 @ Y1 ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl3,plain,
~ ( ( ( !!
@ ^ [Y0: $i] :
( ( '#sk3' @ Y0 )
| ( (~) @ ( '#sk2' @ Y0 ) ) ) )
& ( !!
@ ^ [Y0: $i] : ( '#sk2' @ Y0 ) ) )
=> ( !!
@ ^ [Y0: $i] : ( '#sk3' @ Y0 ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl5,plain,
~ ( !!
@ ^ [Y0: $i] : ( '#sk3' @ Y0 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl3]) ).
thf(zip_derived_cl8,plain,
~ ( '#sk3' @ '#sk4' ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl4,plain,
( ( !!
@ ^ [Y0: $i] :
( ( '#sk3' @ Y0 )
| ( (~) @ ( '#sk2' @ Y0 ) ) ) )
& ( !!
@ ^ [Y0: $i] : ( '#sk2' @ Y0 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl3]) ).
thf(zip_derived_cl6,plain,
( !!
@ ^ [Y0: $i] :
( ( '#sk3' @ Y0 )
| ( (~) @ ( '#sk2' @ Y0 ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl9,plain,
! [X2: $i] :
( ( '#sk3' @ X2 )
| ( (~) @ ( '#sk2' @ X2 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl6]) ).
thf(zip_derived_cl11,plain,
! [X2: $i] :
( ( '#sk3' @ X2 )
| ~ ( '#sk2' @ X2 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl9]) ).
thf(zip_derived_cl7,plain,
( !!
@ ^ [Y0: $i] : ( '#sk2' @ Y0 ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl10,plain,
! [X2: $i] : ( '#sk2' @ X2 ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl7]) ).
thf(zip_derived_cl12,plain,
! [X2: $i] : ( '#sk3' @ X2 ),
inference(demod,[status(thm)],[zip_derived_cl11,zip_derived_cl10]) ).
thf(zip_derived_cl13,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl8,zip_derived_cl12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : LCL612^1 : TPTP v8.1.2. Released v3.6.0.
% 0.12/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.FwHkaYO8bV true
% 0.15/0.34 % Computer : n027.cluster.edu
% 0.15/0.34 % Model : x86_64 x86_64
% 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.34 % Memory : 8042.1875MB
% 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.34 % CPULimit : 300
% 0.15/0.34 % WCLimit : 300
% 0.15/0.34 % DateTime : Fri Aug 25 01:31:18 EDT 2023
% 0.15/0.34 % CPUTime :
% 0.15/0.34 % Running portfolio for 300 s
% 0.15/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.35 % Number of cores: 8
% 0.15/0.35 % Python version: Python 3.6.8
% 0.15/0.35 % Running in HO mode
% 0.20/0.63 % Total configuration time : 828
% 0.20/0.63 % Estimated wc time : 1656
% 0.20/0.63 % Estimated cpu time (8 cpus) : 207.0
% 0.20/0.74 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.20/0.74 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.20/0.75 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.20/0.76 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.20/0.77 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.20/0.77 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.20/0.77 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 0.20/0.77 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.20/0.78 % Solved by lams/35_full_unif4.sh.
% 0.20/0.78 % done 2 iterations in 0.010s
% 0.20/0.78 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.20/0.78 % SZS output start Refutation
% See solution above
% 0.20/0.78
% 0.20/0.78
% 0.20/0.79 % Terminating...
% 1.40/0.84 % Runner terminated.
% 1.40/0.85 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------