TSTP Solution File: SWV443^1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWV443^1 : TPTP v8.1.2. Released v3.7.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.IUbUEc3AMa true
% Computer : n006.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 : Fri Sep 1 00:09:59 EDT 2023
% Result : Theorem 0.55s 0.79s
% Output : Refutation 0.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 45
% Syntax : Number of formulae : 61 ( 40 unt; 17 typ; 0 def)
% Number of atoms : 198 ( 39 equ; 3 cnn)
% Maximal formula atoms : 30 ( 4 avg)
% Number of connectives : 273 ( 14 ~; 12 |; 0 &; 197 @)
% ( 0 <=>; 36 =>; 0 <=; 0 <~>)
% Maximal formula depth : 29 ( 3 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 113 ( 113 >; 0 *; 0 +; 0 <<)
% Number of symbols : 20 ( 16 usr; 3 con; 0-3 aty)
% ( 14 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 113 ( 77 ^; 36 !; 0 ?; 113 :)
% Comments :
%------------------------------------------------------------------------------
thf(individuals_type,type,
individuals: $tType ).
thf(cs4_atom_type,type,
cs4_atom: ( $i > $o ) > $i > $o ).
thf(cs4_impl_type,type,
cs4_impl: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(mor_type,type,
mor: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(mnot_type,type,
mnot: ( $i > $o ) > $i > $o ).
thf(reli_type,type,
reli: $i > $i > $o ).
thf(relr_type,type,
relr: $i > $i > $o ).
thf(mimpl_type,type,
mimpl: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(bl_valid_type,type,
bl_valid: ( $i > $o ) > $o ).
thf(bl_atom_type,type,
bl_atom: ( $i > $o ) > $i > $o ).
thf(cs4_box_type,type,
cs4_box: ( $i > $o ) > $i > $o ).
thf(bl_impl_type,type,
bl_impl: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(bl_says_type,type,
bl_says: individuals > ( $i > $o ) > $i > $o ).
thf(bl_princ_type,type,
bl_princ: ( $i > $o ) > $i > $o ).
thf(mvalid_type,type,
mvalid: ( $i > $o ) > $o ).
thf(princ_inj_type,type,
princ_inj: individuals > $i > $o ).
thf(mbox_type,type,
mbox: ( $i > $i > $o ) > ( $i > $o ) > $i > $o ).
thf(bl_valid_def,axiom,
bl_valid = mvalid ).
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('2',plain,
bl_valid = mvalid,
inference(simplify_rw_rule,[status(thm)],[bl_valid_def,'1']) ).
thf('3',plain,
bl_valid = mvalid,
define([status(thm)]) ).
thf(bl_says,axiom,
( bl_says
= ( ^ [K: individuals,A: $i > $o] : ( cs4_box @ ( cs4_impl @ ( bl_princ @ ( princ_inj @ K ) ) @ A ) ) ) ) ).
thf(bl_princ,axiom,
( bl_princ
= ( ^ [P: $i > $o] : ( cs4_atom @ P ) ) ) ).
thf(cs4_atom,axiom,
( cs4_atom
= ( ^ [P: $i > $o] : ( mbox @ reli @ P ) ) ) ).
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('6',plain,
( cs4_atom
= ( ^ [P: $i > $o] : ( mbox @ reli @ P ) ) ),
inference(simplify_rw_rule,[status(thm)],[cs4_atom,'5']) ).
thf('7',plain,
( cs4_atom
= ( ^ [V_1: $i > $o] : ( mbox @ reli @ V_1 ) ) ),
define([status(thm)]) ).
thf('8',plain,
( bl_princ
= ( ^ [P: $i > $o] : ( cs4_atom @ P ) ) ),
inference(simplify_rw_rule,[status(thm)],[bl_princ,'7','5']) ).
thf('9',plain,
( bl_princ
= ( ^ [V_1: $i > $o] : ( cs4_atom @ V_1 ) ) ),
define([status(thm)]) ).
thf(cs4_box,axiom,
( cs4_box
= ( ^ [A: $i > $o] : ( mbox @ reli @ ( mbox @ relr @ A ) ) ) ) ).
thf('10',plain,
( cs4_box
= ( ^ [A: $i > $o] : ( mbox @ reli @ ( mbox @ relr @ A ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[cs4_box,'5']) ).
thf('11',plain,
( cs4_box
= ( ^ [V_1: $i > $o] : ( mbox @ reli @ ( mbox @ relr @ V_1 ) ) ) ),
define([status(thm)]) ).
thf(cs4_impl,axiom,
( cs4_impl
= ( ^ [A: $i > $o,B: $i > $o] : ( mbox @ reli @ ( mimpl @ A @ B ) ) ) ) ).
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('12',plain,
( mor
= ( ^ [X: $i > $o,Y: $i > $o,U: $i] :
( ( X @ U )
| ( Y @ U ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[mor]) ).
thf('13',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('14',plain,
( mnot
= ( ^ [X: $i > $o,U: $i] :
~ ( X @ U ) ) ),
inference(simplify_rw_rule,[status(thm)],[mnot]) ).
thf('15',plain,
( mnot
= ( ^ [V_1: $i > $o,V_2: $i] :
~ ( V_1 @ V_2 ) ) ),
define([status(thm)]) ).
thf('16',plain,
( mimpl
= ( ^ [U: $i > $o,V: $i > $o] : ( mor @ ( mnot @ U ) @ V ) ) ),
inference(simplify_rw_rule,[status(thm)],[mimpl,'13','15']) ).
thf('17',plain,
( mimpl
= ( ^ [V_1: $i > $o,V_2: $i > $o] : ( mor @ ( mnot @ V_1 ) @ V_2 ) ) ),
define([status(thm)]) ).
thf('18',plain,
( cs4_impl
= ( ^ [A: $i > $o,B: $i > $o] : ( mbox @ reli @ ( mimpl @ A @ B ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[cs4_impl,'5','17','13','15']) ).
thf('19',plain,
( cs4_impl
= ( ^ [V_1: $i > $o,V_2: $i > $o] : ( mbox @ reli @ ( mimpl @ V_1 @ V_2 ) ) ) ),
define([status(thm)]) ).
thf('20',plain,
( bl_says
= ( ^ [K: individuals,A: $i > $o] : ( cs4_box @ ( cs4_impl @ ( bl_princ @ ( princ_inj @ K ) ) @ A ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[bl_says,'9','11','19','7','5','17','13','15']) ).
thf('21',plain,
( bl_says
= ( ^ [V_1: individuals,V_2: $i > $o] : ( cs4_box @ ( cs4_impl @ ( bl_princ @ ( princ_inj @ V_1 ) ) @ V_2 ) ) ) ),
define([status(thm)]) ).
thf(bl_impl,axiom,
( bl_impl
= ( ^ [A: $i > $o,B: $i > $o] : ( cs4_impl @ A @ B ) ) ) ).
thf('22',plain,
( bl_impl
= ( ^ [A: $i > $o,B: $i > $o] : ( cs4_impl @ A @ B ) ) ),
inference(simplify_rw_rule,[status(thm)],[bl_impl,'19','5','17','13','15']) ).
thf('23',plain,
( bl_impl
= ( ^ [V_1: $i > $o,V_2: $i > $o] : ( cs4_impl @ V_1 @ V_2 ) ) ),
define([status(thm)]) ).
thf(bl_atom,axiom,
( bl_atom
= ( ^ [P: $i > $o] : ( cs4_atom @ P ) ) ) ).
thf('24',plain,
( bl_atom
= ( ^ [P: $i > $o] : ( cs4_atom @ P ) ) ),
inference(simplify_rw_rule,[status(thm)],[bl_atom,'7','5']) ).
thf('25',plain,
( bl_atom
= ( ^ [V_1: $i > $o] : ( cs4_atom @ V_1 ) ) ),
define([status(thm)]) ).
thf(bl_id2,conjecture,
! [K: individuals,A: $i > $o] : ( bl_valid @ ( bl_impl @ ( bl_says @ K @ ( bl_atom @ A ) ) @ ( bl_says @ K @ ( bl_atom @ A ) ) ) ) ).
thf(zf_stmt_0,conjecture,
! [X4: individuals,X6: $i > $o,X8: $i,X10: $i] :
( ( reli @ X8 @ X10 )
=> ( ! [X22: $i] :
( ( reli @ X10 @ X22 )
=> ! [X24: $i] :
( ( relr @ X22 @ X24 )
=> ! [X26: $i] :
( ( reli @ X24 @ X26 )
=> ( ! [X30: $i] :
( ( reli @ X26 @ X30 )
=> ( X6 @ X30 ) )
| ~ ! [X28: $i] :
( ( reli @ X26 @ X28 )
=> ( princ_inj @ X4 @ X28 ) ) ) ) ) )
| ~ ! [X12: $i] :
( ( reli @ X10 @ X12 )
=> ! [X14: $i] :
( ( relr @ X12 @ X14 )
=> ! [X16: $i] :
( ( reli @ X14 @ X16 )
=> ( ! [X20: $i] :
( ( reli @ X16 @ X20 )
=> ( X6 @ X20 ) )
| ~ ! [X18: $i] :
( ( reli @ X16 @ X18 )
=> ( princ_inj @ X4 @ X18 ) ) ) ) ) ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ! [X4: individuals,X6: $i > $o,X8: $i,X10: $i] :
( ( reli @ X8 @ X10 )
=> ( ! [X22: $i] :
( ( reli @ X10 @ X22 )
=> ! [X24: $i] :
( ( relr @ X22 @ X24 )
=> ! [X26: $i] :
( ( reli @ X24 @ X26 )
=> ( ! [X30: $i] :
( ( reli @ X26 @ X30 )
=> ( X6 @ X30 ) )
| ~ ! [X28: $i] :
( ( reli @ X26 @ X28 )
=> ( princ_inj @ X4 @ X28 ) ) ) ) ) )
| ~ ! [X12: $i] :
( ( reli @ X10 @ X12 )
=> ! [X14: $i] :
( ( relr @ X12 @ X14 )
=> ! [X16: $i] :
( ( reli @ X14 @ X16 )
=> ( ! [X20: $i] :
( ( reli @ X16 @ X20 )
=> ( X6 @ X20 ) )
| ~ ! [X18: $i] :
( ( reli @ X16 @ X18 )
=> ( princ_inj @ X4 @ X18 ) ) ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl0,plain,
~ ( !!
@ ^ [Y0: individuals] :
( !!
@ ^ [Y1: $i > $o] :
( !!
@ ^ [Y2: $i] :
( !!
@ ^ [Y3: $i] :
( ( reli @ Y2 @ Y3 )
=> ( ( !!
@ ^ [Y4: $i] :
( ( reli @ Y3 @ Y4 )
=> ( !!
@ ^ [Y5: $i] :
( ( relr @ Y4 @ Y5 )
=> ( !!
@ ^ [Y6: $i] :
( ( reli @ Y5 @ Y6 )
=> ( ( !!
@ ^ [Y7: $i] :
( ( reli @ Y6 @ Y7 )
=> ( Y1 @ Y7 ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( reli @ Y6 @ Y7 )
=> ( princ_inj @ Y0 @ Y7 ) ) ) ) ) ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( reli @ Y3 @ Y4 )
=> ( !!
@ ^ [Y5: $i] :
( ( relr @ Y4 @ Y5 )
=> ( !!
@ ^ [Y6: $i] :
( ( reli @ Y5 @ Y6 )
=> ( ( !!
@ ^ [Y7: $i] :
( ( reli @ Y6 @ Y7 )
=> ( Y1 @ Y7 ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( reli @ Y6 @ Y7 )
=> ( princ_inj @ Y0 @ Y7 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl1,plain,
$false,
inference('simplify boolean subterms',[status(thm)],[zip_derived_cl0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWV443^1 : TPTP v8.1.2. Released v3.7.0.
% 0.07/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.IUbUEc3AMa true
% 0.13/0.33 % Computer : n006.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Tue Aug 29 10:13:36 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.34 % Number of cores: 8
% 0.13/0.34 % Python version: Python 3.6.8
% 0.13/0.34 % Running in HO mode
% 0.19/0.61 % Total configuration time : 828
% 0.19/0.61 % Estimated wc time : 1656
% 0.19/0.61 % Estimated cpu time (8 cpus) : 207.0
% 0.49/0.68 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.53/0.71 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.53/0.71 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.53/0.74 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.53/0.74 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.53/0.74 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.53/0.74 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.53/0.74 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 0.53/0.76 % /export/starexec/sandbox/solver/bin/lams/30_b.l.sh running for 90s
% 0.55/0.79 % Solved by lams/20_acsne_simpl.sh.
% 0.55/0.79 % done 0 iterations in 0.019s
% 0.55/0.79 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.55/0.79 % SZS output start Refutation
% See solution above
% 0.55/0.79
% 0.55/0.79
% 0.55/0.79 % Terminating...
% 0.55/0.83 % Runner terminated.
% 0.55/0.84 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------