TSTP Solution File: SWV431^2 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWV431^2 : 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.72tpBg6XVQ true
% Computer : n017.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 00:09:55 EDT 2023
% Result : Theorem 36.01s 5.26s
% Output : Refutation 36.01s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 46
% Syntax : Number of formulae : 111 ( 45 unt; 20 typ; 0 def)
% Number of atoms : 447 ( 33 equ; 21 cnn)
% Maximal formula atoms : 24 ( 4 avg)
% Number of connectives : 937 ( 79 ~; 95 |; 0 &; 593 @)
% ( 0 <=>; 98 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 123 ( 123 >; 0 *; 0 +; 0 <<)
% Number of symbols : 24 ( 20 usr; 7 con; 0-3 aty)
% ( 72 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 207 ( 132 ^; 75 !; 0 ?; 207 :)
% Comments :
%------------------------------------------------------------------------------
thf('#sk5_type',type,
'#sk5': ( $i > $o ) > $i > $i ).
thf(icl_says_type,type,
icl_says: ( $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(icl_impl_princ_type,type,
icl_impl_princ: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(rel_type,type,
rel: $i > $i > $o ).
thf(icl_atom_type,type,
icl_atom: ( $i > $o ) > $i > $o ).
thf(mimpl_type,type,
mimpl: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(b_type,type,
b: $i > $o ).
thf('#sk399_type',type,
'#sk399': $i ).
thf(icl_impl_type,type,
icl_impl: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf('#sk397_type',type,
'#sk397': $i ).
thf(s_type,type,
s: $i > $o ).
thf(icl_princ_type,type,
icl_princ: ( $i > $o ) > $i > $o ).
thf(mvalid_type,type,
mvalid: ( $i > $o ) > $o ).
thf(a_type,type,
a: $i > $o ).
thf('#sk400_type',type,
'#sk400': $i ).
thf(iclval_type,type,
iclval: ( $i > $o ) > $o ).
thf(mbox_type,type,
mbox: ( $i > $i > $o ) > ( $i > $o ) > $i > $o ).
thf('#sk398_type',type,
'#sk398': $i ).
thf(icl_impl_princ,axiom,
( icl_impl_princ
= ( ^ [A: $i > $o,B: $i > $o] : ( mbox @ rel @ ( mimpl @ A @ B ) ) ) ) ).
thf(mbox,axiom,
( mbox
= ( ^ [R: $i > $i > $o,P: $i > $o,X: $i] :
! [Y: $i] :
( ( R @ X @ Y )
=> ( P @ Y ) ) ) ) ).
thf('0',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('1',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('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('8',plain,
( icl_impl_princ
= ( ^ [A: $i > $o,B: $i > $o] : ( mbox @ rel @ ( mimpl @ A @ B ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[icl_impl_princ,'1','7','3','5']) ).
thf('9',plain,
( icl_impl_princ
= ( ^ [V_1: $i > $o,V_2: $i > $o] : ( mbox @ rel @ ( mimpl @ V_1 @ V_2 ) ) ) ),
define([status(thm)]) ).
thf(icl_s4_valid,axiom,
( iclval
= ( ^ [X: $i > $o] : ( mvalid @ X ) ) ) ).
thf(mvalid,axiom,
( mvalid
= ( ^ [P: $i > $o] :
! [W: $i] : ( P @ W ) ) ) ).
thf('10',plain,
( mvalid
= ( ^ [P: $i > $o] :
! [W: $i] : ( P @ W ) ) ),
inference(simplify_rw_rule,[status(thm)],[mvalid]) ).
thf('11',plain,
( mvalid
= ( ^ [V_1: $i > $o] :
! [X4: $i] : ( V_1 @ X4 ) ) ),
define([status(thm)]) ).
thf('12',plain,
( iclval
= ( ^ [X: $i > $o] : ( mvalid @ X ) ) ),
inference(simplify_rw_rule,[status(thm)],[icl_s4_valid,'11']) ).
thf('13',plain,
( iclval
= ( ^ [V_1: $i > $o] : ( mvalid @ V_1 ) ) ),
define([status(thm)]) ).
thf(icl_says,axiom,
( icl_says
= ( ^ [A: $i > $o,S: $i > $o] : ( mbox @ rel @ ( mor @ A @ S ) ) ) ) ).
thf('14',plain,
( icl_says
= ( ^ [A: $i > $o,S: $i > $o] : ( mbox @ rel @ ( mor @ A @ S ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[icl_says,'1','3']) ).
thf('15',plain,
( icl_says
= ( ^ [V_1: $i > $o,V_2: $i > $o] : ( mbox @ rel @ ( mor @ V_1 @ V_2 ) ) ) ),
define([status(thm)]) ).
thf(icl_impl,axiom,
( icl_impl
= ( ^ [A: $i > $o,B: $i > $o] : ( mbox @ rel @ ( mimpl @ A @ B ) ) ) ) ).
thf('16',plain,
( icl_impl
= ( ^ [A: $i > $o,B: $i > $o] : ( mbox @ rel @ ( mimpl @ A @ B ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[icl_impl,'1','7','3','5']) ).
thf('17',plain,
( icl_impl
= ( ^ [V_1: $i > $o,V_2: $i > $o] : ( mbox @ rel @ ( mimpl @ V_1 @ V_2 ) ) ) ),
define([status(thm)]) ).
thf(icl_princ,axiom,
( icl_princ
= ( ^ [P: $i > $o] : P ) ) ).
thf('18',plain,
( icl_princ
= ( ^ [P: $i > $o] : P ) ),
inference(simplify_rw_rule,[status(thm)],[icl_princ]) ).
thf('19',plain,
( icl_princ
= ( ^ [V_1: $i > $o] : V_1 ) ),
define([status(thm)]) ).
thf(icl_atom,axiom,
( icl_atom
= ( ^ [P: $i > $o] : ( mbox @ rel @ P ) ) ) ).
thf('20',plain,
( icl_atom
= ( ^ [P: $i > $o] : ( mbox @ rel @ P ) ) ),
inference(simplify_rw_rule,[status(thm)],[icl_atom,'1']) ).
thf('21',plain,
( icl_atom
= ( ^ [V_1: $i > $o] : ( mbox @ rel @ V_1 ) ) ),
define([status(thm)]) ).
thf(speaking_for,conjecture,
iclval @ ( icl_impl @ ( icl_impl_princ @ ( icl_princ @ a ) @ ( icl_princ @ b ) ) @ ( icl_impl @ ( icl_says @ ( icl_princ @ a ) @ ( icl_atom @ s ) ) @ ( icl_says @ ( icl_princ @ b ) @ ( icl_atom @ s ) ) ) ) ).
thf(zf_stmt_0,conjecture,
! [X4: $i,X6: $i] :
( ( rel @ X4 @ X6 )
=> ( ! [X10: $i] :
( ( rel @ X6 @ X10 )
=> ( ! [X16: $i] :
( ( rel @ X10 @ X16 )
=> ( ! [X18: $i] :
( ( rel @ X16 @ X18 )
=> ( s @ X18 ) )
| ( b @ X16 ) ) )
| ~ ! [X12: $i] :
( ( rel @ X10 @ X12 )
=> ( ! [X14: $i] :
( ( rel @ X12 @ X14 )
=> ( s @ X14 ) )
| ( a @ X12 ) ) ) ) )
| ~ ! [X8: $i] :
( ( rel @ X6 @ X8 )
=> ( ( b @ X8 )
| ~ ( a @ X8 ) ) ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ! [X4: $i,X6: $i] :
( ( rel @ X4 @ X6 )
=> ( ! [X10: $i] :
( ( rel @ X6 @ X10 )
=> ( ! [X16: $i] :
( ( rel @ X10 @ X16 )
=> ( ! [X18: $i] :
( ( rel @ X16 @ X18 )
=> ( s @ X18 ) )
| ( b @ X16 ) ) )
| ~ ! [X12: $i] :
( ( rel @ X10 @ X12 )
=> ( ! [X14: $i] :
( ( rel @ X12 @ X14 )
=> ( s @ X14 ) )
| ( a @ X12 ) ) ) ) )
| ~ ! [X8: $i] :
( ( rel @ X6 @ X8 )
=> ( ( b @ X8 )
| ~ ( a @ X8 ) ) ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2,plain,
~ ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( rel @ Y0 @ Y1 )
=> ( ( !!
@ ^ [Y2: $i] :
( ( rel @ Y1 @ Y2 )
=> ( ( !!
@ ^ [Y3: $i] :
( ( rel @ Y2 @ Y3 )
=> ( ( !!
@ ^ [Y4: $i] :
( ( rel @ Y3 @ Y4 )
=> ( s @ Y4 ) ) )
| ( b @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( rel @ Y2 @ Y3 )
=> ( ( !!
@ ^ [Y4: $i] :
( ( rel @ Y3 @ Y4 )
=> ( s @ Y4 ) ) )
| ( a @ Y3 ) ) ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( rel @ Y1 @ Y2 )
=> ( ( b @ Y2 )
| ( (~) @ ( a @ Y2 ) ) ) ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl236,plain,
~ ( !!
@ ^ [Y0: $i] :
( ( rel @ '#sk397' @ Y0 )
=> ( ( !!
@ ^ [Y1: $i] :
( ( rel @ Y0 @ Y1 )
=> ( ( !!
@ ^ [Y2: $i] :
( ( rel @ Y1 @ Y2 )
=> ( ( !!
@ ^ [Y3: $i] :
( ( rel @ Y2 @ Y3 )
=> ( s @ Y3 ) ) )
| ( b @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( rel @ Y1 @ Y2 )
=> ( ( !!
@ ^ [Y3: $i] :
( ( rel @ Y2 @ Y3 )
=> ( s @ Y3 ) ) )
| ( a @ Y2 ) ) ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( rel @ Y0 @ Y1 )
=> ( ( b @ Y1 )
| ( (~) @ ( a @ Y1 ) ) ) ) ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl237,plain,
~ ( ( rel @ '#sk397' @ '#sk398' )
=> ( ( !!
@ ^ [Y0: $i] :
( ( rel @ '#sk398' @ Y0 )
=> ( ( !!
@ ^ [Y1: $i] :
( ( rel @ Y0 @ Y1 )
=> ( ( !!
@ ^ [Y2: $i] :
( ( rel @ Y1 @ Y2 )
=> ( s @ Y2 ) ) )
| ( b @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( rel @ Y0 @ Y1 )
=> ( ( !!
@ ^ [Y2: $i] :
( ( rel @ Y1 @ Y2 )
=> ( s @ Y2 ) ) )
| ( a @ Y1 ) ) ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( rel @ '#sk398' @ Y0 )
=> ( ( b @ Y0 )
| ( (~) @ ( a @ Y0 ) ) ) ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl236]) ).
thf(zip_derived_cl239,plain,
~ ( ( !!
@ ^ [Y0: $i] :
( ( rel @ '#sk398' @ Y0 )
=> ( ( !!
@ ^ [Y1: $i] :
( ( rel @ Y0 @ Y1 )
=> ( ( !!
@ ^ [Y2: $i] :
( ( rel @ Y1 @ Y2 )
=> ( s @ Y2 ) ) )
| ( b @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( rel @ Y0 @ Y1 )
=> ( ( !!
@ ^ [Y2: $i] :
( ( rel @ Y1 @ Y2 )
=> ( s @ Y2 ) ) )
| ( a @ Y1 ) ) ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( rel @ '#sk398' @ Y0 )
=> ( ( b @ Y0 )
| ( (~) @ ( a @ Y0 ) ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl237]) ).
thf(zip_derived_cl241,plain,
( !!
@ ^ [Y0: $i] :
( ( rel @ '#sk398' @ Y0 )
=> ( ( b @ Y0 )
| ( (~) @ ( a @ Y0 ) ) ) ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl239]) ).
thf(zip_derived_cl243,plain,
! [X2: $i] :
( ( rel @ '#sk398' @ X2 )
=> ( ( b @ X2 )
| ( (~) @ ( a @ X2 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl241]) ).
thf(zip_derived_cl246,plain,
! [X2: $i] :
( ~ ( rel @ '#sk398' @ X2 )
| ( b @ X2 )
| ( (~) @ ( a @ X2 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl243]) ).
thf(zip_derived_cl249,plain,
! [X2: $i] :
( ( b @ X2 )
| ~ ( a @ X2 )
| ~ ( rel @ '#sk398' @ X2 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl246]) ).
thf(zip_derived_cl240,plain,
~ ( !!
@ ^ [Y0: $i] :
( ( rel @ '#sk398' @ Y0 )
=> ( ( !!
@ ^ [Y1: $i] :
( ( rel @ Y0 @ Y1 )
=> ( ( !!
@ ^ [Y2: $i] :
( ( rel @ Y1 @ Y2 )
=> ( s @ Y2 ) ) )
| ( b @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( rel @ Y0 @ Y1 )
=> ( ( !!
@ ^ [Y2: $i] :
( ( rel @ Y1 @ Y2 )
=> ( s @ Y2 ) ) )
| ( a @ Y1 ) ) ) ) ) ) ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl239]) ).
thf(zip_derived_cl242,plain,
~ ( ( rel @ '#sk398' @ '#sk399' )
=> ( ( !!
@ ^ [Y0: $i] :
( ( rel @ '#sk399' @ Y0 )
=> ( ( !!
@ ^ [Y1: $i] :
( ( rel @ Y0 @ Y1 )
=> ( s @ Y1 ) ) )
| ( b @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( rel @ '#sk399' @ Y0 )
=> ( ( !!
@ ^ [Y1: $i] :
( ( rel @ Y0 @ Y1 )
=> ( s @ Y1 ) ) )
| ( a @ Y0 ) ) ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl240]) ).
thf(zip_derived_cl245,plain,
~ ( ( !!
@ ^ [Y0: $i] :
( ( rel @ '#sk399' @ Y0 )
=> ( ( !!
@ ^ [Y1: $i] :
( ( rel @ Y0 @ Y1 )
=> ( s @ Y1 ) ) )
| ( b @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( rel @ '#sk399' @ Y0 )
=> ( ( !!
@ ^ [Y1: $i] :
( ( rel @ Y0 @ Y1 )
=> ( s @ Y1 ) ) )
| ( a @ Y0 ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl242]) ).
thf(zip_derived_cl247,plain,
~ ( !!
@ ^ [Y0: $i] :
( ( rel @ '#sk399' @ Y0 )
=> ( ( !!
@ ^ [Y1: $i] :
( ( rel @ Y0 @ Y1 )
=> ( s @ Y1 ) ) )
| ( b @ Y0 ) ) ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl245]) ).
thf(zip_derived_cl250,plain,
~ ( ( rel @ '#sk399' @ '#sk400' )
=> ( ( !!
@ ^ [Y0: $i] :
( ( rel @ '#sk400' @ Y0 )
=> ( s @ Y0 ) ) )
| ( b @ '#sk400' ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl247]) ).
thf(zip_derived_cl253,plain,
~ ( ( !!
@ ^ [Y0: $i] :
( ( rel @ '#sk400' @ Y0 )
=> ( s @ Y0 ) ) )
| ( b @ '#sk400' ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl250]) ).
thf(zip_derived_cl256,plain,
~ ( b @ '#sk400' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl253]) ).
thf(zip_derived_cl369,plain,
( ~ ( rel @ '#sk398' @ '#sk400' )
| ~ ( a @ '#sk400' ) ),
inference('sup-',[status(thm)],[zip_derived_cl249,zip_derived_cl256]) ).
thf(zip_derived_cl255,plain,
~ ( !!
@ ^ [Y0: $i] :
( ( rel @ '#sk400' @ Y0 )
=> ( s @ Y0 ) ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl253]) ).
thf(zip_derived_cl258,plain,
~ ( ( rel @ '#sk400' @ ( '#sk5' @ s @ '#sk400' ) )
=> ( s @ ( '#sk5' @ s @ '#sk400' ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl255]) ).
thf(zip_derived_cl260,plain,
rel @ '#sk400' @ ( '#sk5' @ s @ '#sk400' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl258]) ).
thf(zip_derived_cl248,plain,
( !!
@ ^ [Y0: $i] :
( ( rel @ '#sk399' @ Y0 )
=> ( ( !!
@ ^ [Y1: $i] :
( ( rel @ Y0 @ Y1 )
=> ( s @ Y1 ) ) )
| ( a @ Y0 ) ) ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl245]) ).
thf(zip_derived_cl251,plain,
! [X2: $i] :
( ( rel @ '#sk399' @ X2 )
=> ( ( !!
@ ^ [Y0: $i] :
( ( rel @ X2 @ Y0 )
=> ( s @ Y0 ) ) )
| ( a @ X2 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl248]) ).
thf(zip_derived_cl254,plain,
! [X2: $i] :
( ~ ( rel @ '#sk399' @ X2 )
| ( !!
@ ^ [Y0: $i] :
( ( rel @ X2 @ Y0 )
=> ( s @ Y0 ) ) )
| ( a @ X2 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl251]) ).
thf(zip_derived_cl257,plain,
! [X2: $i] :
( ( !!
@ ^ [Y0: $i] :
( ( rel @ X2 @ Y0 )
=> ( s @ Y0 ) ) )
| ( a @ X2 )
| ~ ( rel @ '#sk399' @ X2 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl254]) ).
thf(zip_derived_cl259,plain,
! [X2: $i,X4: $i] :
( ( ( rel @ X2 @ X4 )
=> ( s @ X4 ) )
| ~ ( rel @ '#sk399' @ X2 )
| ( a @ X2 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl257]) ).
thf(zip_derived_cl262,plain,
! [X2: $i,X4: $i] :
( ~ ( rel @ X2 @ X4 )
| ( s @ X4 )
| ( a @ X2 )
| ~ ( rel @ '#sk399' @ X2 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl259]) ).
thf(zip_derived_cl656,plain,
( ~ ( rel @ '#sk399' @ '#sk400' )
| ( a @ '#sk400' )
| ( s @ ( '#sk5' @ s @ '#sk400' ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl260,zip_derived_cl262]) ).
thf(zip_derived_cl252,plain,
rel @ '#sk399' @ '#sk400',
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl250]) ).
thf(zip_derived_cl677,plain,
( ( a @ '#sk400' )
| ( s @ ( '#sk5' @ s @ '#sk400' ) ) ),
inference(demod,[status(thm)],[zip_derived_cl656,zip_derived_cl252]) ).
thf(zip_derived_cl261,plain,
~ ( s @ ( '#sk5' @ s @ '#sk400' ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl258]) ).
thf(zip_derived_cl695,plain,
a @ '#sk400',
inference(clc,[status(thm)],[zip_derived_cl677,zip_derived_cl261]) ).
thf(zip_derived_cl696,plain,
~ ( rel @ '#sk398' @ '#sk400' ),
inference(demod,[status(thm)],[zip_derived_cl369,zip_derived_cl695]) ).
thf(zip_derived_cl244,plain,
rel @ '#sk398' @ '#sk399',
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl242]) ).
thf(zip_derived_cl252_001,plain,
rel @ '#sk399' @ '#sk400',
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl250]) ).
thf(trans_axiom,axiom,
! [B: $i > $o] : ( mvalid @ ( mimpl @ ( mbox @ rel @ B ) @ ( mbox @ rel @ ( mbox @ rel @ B ) ) ) ) ).
thf(zf_stmt_2,axiom,
! [X4: $i > $o,X6: $i] :
( ! [X10: $i] :
( ( rel @ X6 @ X10 )
=> ! [X12: $i] :
( ( rel @ X10 @ X12 )
=> ( X4 @ X12 ) ) )
| ~ ! [X8: $i] :
( ( rel @ X6 @ X8 )
=> ( X4 @ X8 ) ) ) ).
thf(zip_derived_cl1,plain,
( !!
@ ^ [Y0: $i > $o] :
( !!
@ ^ [Y1: $i] :
( ( !!
@ ^ [Y2: $i] :
( ( rel @ Y1 @ Y2 )
=> ( !!
@ ^ [Y3: $i] :
( ( rel @ Y2 @ Y3 )
=> ( Y0 @ Y3 ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( rel @ Y1 @ Y2 )
=> ( Y0 @ Y2 ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_2]) ).
thf(zip_derived_cl181,plain,
! [X2: $i > $o] :
( !!
@ ^ [Y0: $i] :
( ( !!
@ ^ [Y1: $i] :
( ( rel @ Y0 @ Y1 )
=> ( !!
@ ^ [Y2: $i] :
( ( rel @ Y1 @ Y2 )
=> ( X2 @ Y2 ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( rel @ Y0 @ Y1 )
=> ( X2 @ Y1 ) ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl182,plain,
! [X2: $i > $o,X4: $i] :
( ( !!
@ ^ [Y0: $i] :
( ( rel @ X4 @ Y0 )
=> ( !!
@ ^ [Y1: $i] :
( ( rel @ Y0 @ Y1 )
=> ( X2 @ Y1 ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( rel @ X4 @ Y0 )
=> ( X2 @ Y0 ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl181]) ).
thf(zip_derived_cl183,plain,
! [X2: $i > $o,X4: $i] :
( ( !!
@ ^ [Y0: $i] :
( ( rel @ X4 @ Y0 )
=> ( !!
@ ^ [Y1: $i] :
( ( rel @ Y0 @ Y1 )
=> ( X2 @ Y1 ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( rel @ X4 @ Y0 )
=> ( X2 @ Y0 ) ) ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl182]) ).
thf(zip_derived_cl184,plain,
! [X2: $i > $o,X4: $i,X6: $i] :
( ( ( rel @ X4 @ X6 )
=> ( !!
@ ^ [Y0: $i] :
( ( rel @ X6 @ Y0 )
=> ( X2 @ Y0 ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( rel @ X4 @ Y0 )
=> ( X2 @ Y0 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl183]) ).
thf(zip_derived_cl185,plain,
! [X2: $i > $o,X4: $i,X6: $i] :
( ~ ( rel @ X4 @ X6 )
| ( !!
@ ^ [Y0: $i] :
( ( rel @ X6 @ Y0 )
=> ( X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( rel @ X4 @ Y0 )
=> ( X2 @ Y0 ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl184]) ).
thf(zip_derived_cl186,plain,
! [X2: $i > $o,X4: $i,X6: $i,X8: $i] :
( ( ( rel @ X6 @ X8 )
=> ( X2 @ X8 ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( rel @ X4 @ Y0 )
=> ( X2 @ Y0 ) ) )
| ~ ( rel @ X4 @ X6 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl185]) ).
thf(zip_derived_cl187,plain,
! [X2: $i > $o,X4: $i,X6: $i,X8: $i] :
( ~ ( rel @ X6 @ X8 )
| ( X2 @ X8 )
| ~ ( rel @ X4 @ X6 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( rel @ X4 @ Y0 )
=> ( X2 @ Y0 ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl186]) ).
thf(zip_derived_cl188,plain,
! [X2: $i > $o,X4: $i,X6: $i,X8: $i] :
( ~ ( ( rel @ X4 @ ( '#sk5' @ X2 @ X4 ) )
=> ( X2 @ ( '#sk5' @ X2 @ X4 ) ) )
| ~ ( rel @ X4 @ X6 )
| ( X2 @ X8 )
| ~ ( rel @ X6 @ X8 ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl187]) ).
thf(zip_derived_cl190,plain,
! [X2: $i > $o,X4: $i,X6: $i,X8: $i] :
( ~ ( X2 @ ( '#sk5' @ X2 @ X4 ) )
| ~ ( rel @ X6 @ X8 )
| ( X2 @ X8 )
| ~ ( rel @ X4 @ X6 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl188]) ).
thf(zip_derived_cl317,plain,
! [X0: $i,X1: $i > $o] :
( ~ ( rel @ X0 @ '#sk399' )
| ( X1 @ '#sk400' )
| ~ ( X1 @ ( '#sk5' @ X1 @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl252,zip_derived_cl190]) ).
thf(zip_derived_cl1210,plain,
! [X0: $i > $o] :
( ~ ( X0 @ ( '#sk5' @ X0 @ '#sk398' ) )
| ( X0 @ '#sk400' ) ),
inference('sup-',[status(thm)],[zip_derived_cl244,zip_derived_cl317]) ).
thf(zip_derived_cl244_002,plain,
rel @ '#sk398' @ '#sk399',
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl242]) ).
thf(zip_derived_cl252_003,plain,
rel @ '#sk399' @ '#sk400',
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl250]) ).
thf(zip_derived_cl189,plain,
! [X2: $i > $o,X4: $i,X6: $i,X8: $i] :
( ( rel @ X4 @ ( '#sk5' @ X2 @ X4 ) )
| ~ ( rel @ X6 @ X8 )
| ( X2 @ X8 )
| ~ ( rel @ X4 @ X6 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl188]) ).
thf(zip_derived_cl318,plain,
! [X0: $i,X1: $i > $o] :
( ~ ( rel @ X0 @ '#sk399' )
| ( X1 @ '#sk400' )
| ( rel @ X0 @ ( '#sk5' @ X1 @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl252,zip_derived_cl189]) ).
thf(zip_derived_cl4783,plain,
! [X0: $i > $o] :
( ( rel @ '#sk398' @ ( '#sk5' @ X0 @ '#sk398' ) )
| ( X0 @ '#sk400' ) ),
inference('sup-',[status(thm)],[zip_derived_cl244,zip_derived_cl318]) ).
thf(zip_derived_cl4912,plain,
( ( rel @ '#sk398' @ '#sk400' )
| ( rel @ '#sk398' @ '#sk400' ) ),
inference('sup+',[status(thm)],[zip_derived_cl1210,zip_derived_cl4783]) ).
thf(zip_derived_cl4927,plain,
rel @ '#sk398' @ '#sk400',
inference(simplify,[status(thm)],[zip_derived_cl4912]) ).
thf(zip_derived_cl4966,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl696,zip_derived_cl4927]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWV431^2 : TPTP v8.1.2. Released v3.6.0.
% 0.07/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.72tpBg6XVQ true
% 0.13/0.34 % Computer : n017.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 29 05:28:13 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
% 0.13/0.35 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % 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
% 1.18/0.74 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 1.18/0.74 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 1.30/0.75 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 1.30/0.76 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 1.30/0.76 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 1.30/0.76 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 1.30/0.77 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 1.46/0.79 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 1.46/0.81 % /export/starexec/sandbox/solver/bin/lams/30_b.l.sh running for 90s
% 1.46/0.81 % /export/starexec/sandbox/solver/bin/lams/35_full_unif.sh running for 56s
% 36.01/5.26 % Solved by lams/35_full_unif4.sh.
% 36.01/5.26 % done 654 iterations in 4.495s
% 36.01/5.26 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 36.01/5.26 % SZS output start Refutation
% See solution above
% 36.01/5.26
% 36.01/5.26
% 36.01/5.26 % Terminating...
% 37.22/5.39 % Runner terminated.
% 37.22/5.39 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------