%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWV430^2 : TPTP v9.2.0. Released v3.6.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.03IkkTz5Zv true
% Computer : n022.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 Oct 2 05:01:09 PM UTC 2025
% Result : Theorem 3.67s 1.13s
% Output : Refutation 3.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 22
% Syntax : Number of formulae : 79 ( 38 unt; 0 typ; 0 def)
% Number of atoms : 453 ( 27 equ; 72 cnn)
% Maximal formula atoms : 22 ( 5 avg)
% Number of connectives : 855 ( 108 ~; 85 |; 0 &; 509 @)
% ( 0 <=>; 91 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 50 ( 50 >; 0 *; 0 +; 0 <<)
% Number of symbols : 22 ( 17 usr; 8 con; 0-3 aty)
% ( 62 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 144 ( 114 ^; 30 !; 0 ?; 144 :)
% Comments :
%------------------------------------------------------------------------------
thf(mor_type,type,
mor: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(mnot_type,type,
mnot: ( $i > $o ) > $i > $o ).
thf('#sk35_type',type,
'#sk35': $i ).
thf(icl_impl_princ_type,type,
icl_impl_princ: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(rel_type,type,
rel: $i > $i > $o ).
thf('#sk51_type',type,
'#sk51': $i ).
thf('#sk36_type',type,
'#sk36': $i ).
thf(mimpl_type,type,
mimpl: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf('#sk58_type',type,
'#sk58': $i ).
thf(b_type,type,
b: $i > $o ).
thf(icl_impl_type,type,
icl_impl: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(c_type,type,
c: $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(iclval_type,type,
iclval: ( $i > $o ) > $o ).
thf(mbox_type,type,
mbox: ( $i > $i > $o ) > ( $i > $o ) > $i > $o ).
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_impl,axiom,
( icl_impl
= ( ^ [A: $i > $o,B: $i > $o] : ( mbox @ rel @ ( mimpl @ A @ B ) ) ) ) ).
thf('14',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('15',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('16',plain,
( icl_princ
= ( ^ [P: $i > $o] : P ) ),
inference(simplify_rw_rule,[status(thm)],[icl_princ]) ).
thf('17',plain,
( icl_princ
= ( ^ [V_1: $i > $o] : V_1 ) ),
define([status(thm)]) ).
thf(trans,conjecture,
iclval @ ( icl_impl @ ( icl_impl_princ @ ( icl_princ @ a ) @ ( icl_princ @ b ) ) @ ( icl_impl @ ( icl_impl_princ @ ( icl_princ @ b ) @ ( icl_princ @ c ) ) @ ( icl_impl_princ @ ( icl_princ @ a ) @ ( icl_princ @ c ) ) ) ) ).
thf(zf_stmt_0,conjecture,
! [X4: $i,X6: $i] :
( ( rel @ X4 @ X6 )
=> ( ! [X10: $i] :
( ( rel @ X6 @ X10 )
=> ( ! [X14: $i] :
( ( rel @ X10 @ X14 )
=> ( ( c @ X14 )
| ~ ( a @ X14 ) ) )
| ~ ! [X12: $i] :
( ( rel @ X10 @ X12 )
=> ( ( c @ X12 )
| ~ ( b @ 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 )
=> ( ! [X14: $i] :
( ( rel @ X10 @ X14 )
=> ( ( c @ X14 )
| ~ ( a @ X14 ) ) )
| ~ ! [X12: $i] :
( ( rel @ X10 @ X12 )
=> ( ( c @ X12 )
| ~ ( b @ 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 )
=> ( ( c @ Y3 )
| ( (~) @ ( a @ Y3 ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( rel @ Y2 @ Y3 )
=> ( ( c @ Y3 )
| ( (~) @ ( b @ Y3 ) ) ) ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( rel @ Y1 @ Y2 )
=> ( ( b @ Y2 )
| ( (~) @ ( a @ Y2 ) ) ) ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl19,plain,
~ ( !!
@ ^ [Y0: $i] :
( ( rel @ '#sk35' @ Y0 )
=> ( ( !!
@ ^ [Y1: $i] :
( ( rel @ Y0 @ Y1 )
=> ( ( !!
@ ^ [Y2: $i] :
( ( rel @ Y1 @ Y2 )
=> ( ( c @ Y2 )
| ( (~) @ ( a @ Y2 ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( rel @ Y1 @ Y2 )
=> ( ( c @ Y2 )
| ( (~) @ ( b @ Y2 ) ) ) ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( rel @ Y0 @ Y1 )
=> ( ( b @ Y1 )
| ( (~) @ ( a @ Y1 ) ) ) ) ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl22,plain,
~ ( ( rel @ '#sk35' @ '#sk36' )
=> ( ( !!
@ ^ [Y0: $i] :
( ( rel @ '#sk36' @ Y0 )
=> ( ( !!
@ ^ [Y1: $i] :
( ( rel @ Y0 @ Y1 )
=> ( ( c @ Y1 )
| ( (~) @ ( a @ Y1 ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( rel @ Y0 @ Y1 )
=> ( ( c @ Y1 )
| ( (~) @ ( b @ Y1 ) ) ) ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( rel @ '#sk36' @ Y0 )
=> ( ( b @ Y0 )
| ( (~) @ ( a @ Y0 ) ) ) ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl19]) ).
thf(zip_derived_cl22_001,plain,
~ ( ( rel @ '#sk35' @ '#sk36' )
=> ( ( !!
@ ^ [Y0: $i] :
( ( rel @ '#sk36' @ Y0 )
=> ( ( !!
@ ^ [Y1: $i] :
( ( rel @ Y0 @ Y1 )
=> ( ( c @ Y1 )
| ( (~) @ ( a @ Y1 ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( rel @ Y0 @ Y1 )
=> ( ( c @ Y1 )
| ( (~) @ ( b @ Y1 ) ) ) ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( rel @ '#sk36' @ Y0 )
=> ( ( b @ Y0 )
| ( (~) @ ( a @ Y0 ) ) ) ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl19]) ).
thf(zip_derived_cl27,plain,
rel @ '#sk35' @ '#sk36',
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl22]) ).
thf(zip_derived_cl29,plain,
~ ( $true
=> ( ( !!
@ ^ [Y0: $i] :
( ( rel @ '#sk36' @ Y0 )
=> ( ( !!
@ ^ [Y1: $i] :
( ( rel @ Y0 @ Y1 )
=> ( ( c @ Y1 )
| ( (~) @ ( a @ Y1 ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( rel @ Y0 @ Y1 )
=> ( ( c @ Y1 )
| ( (~) @ ( b @ Y1 ) ) ) ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( rel @ '#sk36' @ Y0 )
=> ( ( b @ Y0 )
| ( (~) @ ( a @ Y0 ) ) ) ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl22,zip_derived_cl27]) ).
thf(zip_derived_cl30,plain,
~ ( ( !!
@ ^ [Y0: $i] :
( ( rel @ '#sk36' @ Y0 )
=> ( ( !!
@ ^ [Y1: $i] :
( ( rel @ Y0 @ Y1 )
=> ( ( c @ Y1 )
| ( (~) @ ( a @ Y1 ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( rel @ Y0 @ Y1 )
=> ( ( c @ Y1 )
| ( (~) @ ( b @ Y1 ) ) ) ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( rel @ '#sk36' @ Y0 )
=> ( ( b @ Y0 )
| ( (~) @ ( a @ Y0 ) ) ) ) ) ) ),
inference('simplify boolean subterms',[status(thm)],[zip_derived_cl29]) ).
thf(zip_derived_cl31,plain,
~ ( !!
@ ^ [Y0: $i] :
( ( rel @ '#sk36' @ Y0 )
=> ( ( !!
@ ^ [Y1: $i] :
( ( rel @ Y0 @ Y1 )
=> ( ( c @ Y1 )
| ( (~) @ ( a @ Y1 ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( rel @ Y0 @ Y1 )
=> ( ( c @ Y1 )
| ( (~) @ ( b @ Y1 ) ) ) ) ) ) ) ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl30]) ).
thf(zip_derived_cl56,plain,
~ ( ( rel @ '#sk36' @ '#sk51' )
=> ( ( !!
@ ^ [Y0: $i] :
( ( rel @ '#sk51' @ Y0 )
=> ( ( c @ Y0 )
| ( (~) @ ( a @ Y0 ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( rel @ '#sk51' @ Y0 )
=> ( ( c @ Y0 )
| ( (~) @ ( b @ Y0 ) ) ) ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl31]) ).
thf(zip_derived_cl56_002,plain,
~ ( ( rel @ '#sk36' @ '#sk51' )
=> ( ( !!
@ ^ [Y0: $i] :
( ( rel @ '#sk51' @ Y0 )
=> ( ( c @ Y0 )
| ( (~) @ ( a @ Y0 ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( rel @ '#sk51' @ Y0 )
=> ( ( c @ Y0 )
| ( (~) @ ( b @ Y0 ) ) ) ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl31]) ).
thf(zip_derived_cl61,plain,
rel @ '#sk36' @ '#sk51',
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl56]) ).
thf(zip_derived_cl63,plain,
~ ( $true
=> ( ( !!
@ ^ [Y0: $i] :
( ( rel @ '#sk51' @ Y0 )
=> ( ( c @ Y0 )
| ( (~) @ ( a @ Y0 ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( rel @ '#sk51' @ Y0 )
=> ( ( c @ Y0 )
| ( (~) @ ( b @ Y0 ) ) ) ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl56,zip_derived_cl61]) ).
thf(zip_derived_cl64,plain,
~ ( ( !!
@ ^ [Y0: $i] :
( ( rel @ '#sk51' @ Y0 )
=> ( ( c @ Y0 )
| ( (~) @ ( a @ Y0 ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( rel @ '#sk51' @ Y0 )
=> ( ( c @ Y0 )
| ( (~) @ ( b @ Y0 ) ) ) ) ) ) ),
inference('simplify boolean subterms',[status(thm)],[zip_derived_cl63]) ).
thf(zip_derived_cl96,plain,
~ ( !!
@ ^ [Y0: $i] :
( ( rel @ '#sk51' @ Y0 )
=> ( ( c @ Y0 )
| ( (~) @ ( a @ Y0 ) ) ) ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl64]) ).
thf(zip_derived_cl98,plain,
~ ( ( rel @ '#sk51' @ '#sk58' )
=> ( ( c @ '#sk58' )
| ( (~) @ ( a @ '#sk58' ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl96]) ).
thf(zip_derived_cl99,plain,
rel @ '#sk51' @ '#sk58',
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl98]) ).
thf(zip_derived_cl97,plain,
( !!
@ ^ [Y0: $i] :
( ( rel @ '#sk51' @ Y0 )
=> ( ( c @ Y0 )
| ( (~) @ ( b @ Y0 ) ) ) ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl64]) ).
thf(zip_derived_cl145,plain,
! [X2: $i] :
( ( rel @ '#sk51' @ X2 )
=> ( ( c @ X2 )
| ( (~) @ ( b @ X2 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl97]) ).
thf(zip_derived_cl165,plain,
( $true
=> ( ( c @ '#sk58' )
| ( (~) @ ( b @ '#sk58' ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl99,zip_derived_cl145]) ).
thf(zip_derived_cl98_003,plain,
~ ( ( rel @ '#sk51' @ '#sk58' )
=> ( ( c @ '#sk58' )
| ( (~) @ ( a @ '#sk58' ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl96]) ).
thf(zip_derived_cl99_004,plain,
rel @ '#sk51' @ '#sk58',
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl98]) ).
thf(zip_derived_cl101,plain,
~ ( $true
=> ( ( c @ '#sk58' )
| ( (~) @ ( a @ '#sk58' ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl98,zip_derived_cl99]) ).
thf(zip_derived_cl102,plain,
~ ( ( c @ '#sk58' )
| ( (~) @ ( a @ '#sk58' ) ) ),
inference('simplify boolean subterms',[status(thm)],[zip_derived_cl101]) ).
thf(zip_derived_cl103,plain,
~ ( c @ '#sk58' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl102]) ).
thf(zip_derived_cl99_005,plain,
rel @ '#sk51' @ '#sk58',
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl98]) ).
thf(zip_derived_cl61_006,plain,
rel @ '#sk36' @ '#sk51',
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl56]) ).
thf(zip_derived_cl32,plain,
( !!
@ ^ [Y0: $i] :
( ( rel @ '#sk36' @ Y0 )
=> ( ( b @ Y0 )
| ( (~) @ ( a @ Y0 ) ) ) ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl30]) ).
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_cl8,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_cl13,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_cl8]) ).
thf(zip_derived_cl34,plain,
( ( !!
@ ^ [Y0: $i] :
( ( rel @ '#sk36' @ Y0 )
=> ( !!
@ ^ [Y1: $i] :
( ( rel @ Y0 @ Y1 )
=> ( ^ [Y2: $i] :
( ( b @ Y2 )
| ( (~) @ ( a @ Y2 ) ) )
@ Y1 ) ) ) ) )
| ( (~) @ $true ) ),
inference('sup+',[status(thm)],[zip_derived_cl32,zip_derived_cl13]) ).
thf(zip_derived_cl38,plain,
( ( !!
@ ^ [Y0: $i] :
( ( rel @ '#sk36' @ Y0 )
=> ( !!
@ ^ [Y1: $i] :
( ( rel @ Y0 @ Y1 )
=> ( ( b @ Y1 )
| ( (~) @ ( a @ Y1 ) ) ) ) ) ) )
| ( (~) @ $true ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl34]) ).
thf(zip_derived_cl39,plain,
( !!
@ ^ [Y0: $i] :
( ( rel @ '#sk36' @ Y0 )
=> ( !!
@ ^ [Y1: $i] :
( ( rel @ Y0 @ Y1 )
=> ( ( b @ Y1 )
| ( (~) @ ( a @ Y1 ) ) ) ) ) ) ),
inference('simplify boolean subterms',[status(thm)],[zip_derived_cl38]) ).
thf(zip_derived_cl49,plain,
! [X2: $i] :
( ( rel @ '#sk36' @ X2 )
=> ( !!
@ ^ [Y0: $i] :
( ( rel @ X2 @ Y0 )
=> ( ( b @ Y0 )
| ( (~) @ ( a @ Y0 ) ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl39]) ).
thf(zip_derived_cl81,plain,
( $true
=> ( !!
@ ^ [Y0: $i] :
( ( rel @ '#sk51' @ Y0 )
=> ( ( b @ Y0 )
| ( (~) @ ( a @ Y0 ) ) ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl61,zip_derived_cl49]) ).
thf(zip_derived_cl84,plain,
( !!
@ ^ [Y0: $i] :
( ( rel @ '#sk51' @ Y0 )
=> ( ( b @ Y0 )
| ( (~) @ ( a @ Y0 ) ) ) ) ),
inference('simplify boolean subterms',[status(thm)],[zip_derived_cl81]) ).
thf(zip_derived_cl89,plain,
! [X2: $i] :
( ( rel @ '#sk51' @ X2 )
=> ( ( b @ X2 )
| ( (~) @ ( a @ X2 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl84]) ).
thf(zip_derived_cl114,plain,
( $true
=> ( ( b @ '#sk58' )
| ( (~) @ ( a @ '#sk58' ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl99,zip_derived_cl89]) ).
thf(zip_derived_cl102_007,plain,
~ ( ( c @ '#sk58' )
| ( (~) @ ( a @ '#sk58' ) ) ),
inference('simplify boolean subterms',[status(thm)],[zip_derived_cl101]) ).
thf(zip_derived_cl103_008,plain,
~ ( c @ '#sk58' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl102]) ).
thf(zip_derived_cl105,plain,
~ ( $false
| ( (~) @ ( a @ '#sk58' ) ) ),
inference(demod,[status(thm)],[zip_derived_cl102,zip_derived_cl103]) ).
thf(zip_derived_cl106,plain,
~ ( (~) @ ( a @ '#sk58' ) ),
inference('simplify boolean subterms',[status(thm)],[zip_derived_cl105]) ).
thf(zip_derived_cl107,plain,
a @ '#sk58',
inference('simplify nested equalities',[status(thm)],[zip_derived_cl106]) ).
thf(zip_derived_cl119,plain,
( $true
=> ( ( b @ '#sk58' )
| ( (~) @ $true ) ) ),
inference(demod,[status(thm)],[zip_derived_cl114,zip_derived_cl107]) ).
thf(zip_derived_cl120,plain,
b @ '#sk58',
inference('simplify boolean subterms',[status(thm)],[zip_derived_cl119]) ).
thf(zip_derived_cl170,plain,
( $true
=> ( $false
| ( (~) @ $true ) ) ),
inference(demod,[status(thm)],[zip_derived_cl165,zip_derived_cl103,zip_derived_cl120]) ).
thf(zip_derived_cl171,plain,
$false,
inference('simplify boolean subterms',[status(thm)],[zip_derived_cl170]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SWV430^2 : TPTP v9.2.0. Released v3.6.0.
% 0.03/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.03IkkTz5Zv true
% 0.13/0.35 % Computer : n022.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 : Wed Oct 1 12:40:08 EDT 2025
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.36 % Python version: Python 3.6.8
% 0.13/0.36 % Running in HO mode
% 0.55/0.67 % Total configuration time : 828
% 0.55/0.67 % Estimated wc time : 1656
% 0.55/0.67 % Estimated cpu time (8 cpus) : 207.0
% 0.55/0.74 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.56/0.75 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.56/0.76 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.56/0.76 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.56/0.76 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.56/0.77 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.56/0.77 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.56/0.77 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 0.57/0.82 % /export/starexec/sandbox2/solver/bin/lams/30_b.l.sh running for 90s
% 0.57/0.83 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif.sh running for 56s
% 0.57/0.87 % /export/starexec/sandbox2/solver/bin/lams/15_old_s4.sh running for 30s
% 3.67/1.13 % Solved by lams/15_old_s4.sh.
% 3.67/1.13 % done 59 iterations in 0.155s
% 3.67/1.13 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 3.67/1.13 % SZS output start Refutation
% See solution above
% 3.67/1.14
% 3.67/1.14
% 3.67/1.14 % Terminating...
% 4.14/1.19 % Runner terminated.
% 4.14/1.21 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------