%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SYO439^1 : TPTP v9.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.N7OkuF531d true
% Computer : n018.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 05:07:29 PM UTC 2025
% Result : Theorem 1.33s 0.82s
% Output : Refutation 1.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 22
% Syntax : Number of formulae : 68 ( 30 unt; 0 typ; 0 def)
% Number of atoms : 314 ( 24 equ; 62 cnn)
% Maximal formula atoms : 26 ( 4 avg)
% Number of connectives : 714 ( 131 ~; 86 |; 9 &; 440 @)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 24 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 36 ( 36 >; 0 *; 0 +; 0 <<)
% Number of symbols : 18 ( 14 usr; 5 con; 0-3 aty)
% ( 40 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 153 ( 79 ^; 74 !; 0 ?; 153 :)
% Comments :
%------------------------------------------------------------------------------
thf(rel_s4_type,type,
rel_s4: $i > $i > $o ).
thf(mreflexive_type,type,
mreflexive: ( $i > $i > $o ) > $o ).
thf(mnot_type,type,
mnot: ( $i > $o ) > $i > $o ).
thf('#sk1_type',type,
'#sk1': $i ).
thf(mimplies_type,type,
mimplies: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(p_type,type,
p: $i > $o ).
thf(mdia_s4_type,type,
mdia_s4: ( $i > $o ) > $i > $o ).
thf('#sk2_type',type,
'#sk2': $i ).
thf(mtransitive_type,type,
mtransitive: ( $i > $i > $o ) > $o ).
thf(mbox_s4_type,type,
mbox_s4: ( $i > $o ) > $i > $o ).
thf('#sk4_type',type,
'#sk4': $i > $i ).
thf(mor_type,type,
mor: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf('#sk3_type',type,
'#sk3': $i > $i ).
thf(mvalid_type,type,
mvalid: ( $i > $o ) > $o ).
thf(mdia_s4,axiom,
( mdia_s4
= ( ^ [Phi: $i > $o] : ( mnot @ ( mbox_s4 @ ( mnot @ Phi ) ) ) ) ) ).
thf(mbox_s4,axiom,
( mbox_s4
= ( ^ [Phi: $i > $o,W: $i] :
! [V: $i] :
( ( Phi @ V )
| ~ ( rel_s4 @ W @ V ) ) ) ) ).
thf('0',plain,
( mbox_s4
= ( ^ [Phi: $i > $o,W: $i] :
! [V: $i] :
( ( Phi @ V )
| ~ ( rel_s4 @ W @ V ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[mbox_s4]) ).
thf('1',plain,
( mbox_s4
= ( ^ [V_1: $i > $o,V_2: $i] :
! [X4: $i] :
( ( V_1 @ X4 )
| ~ ( rel_s4 @ V_2 @ X4 ) ) ) ),
define([status(thm)]) ).
thf(mnot,axiom,
( mnot
= ( ^ [Phi: $i > $o,W: $i] :
~ ( Phi @ W ) ) ) ).
thf('2',plain,
( mnot
= ( ^ [Phi: $i > $o,W: $i] :
~ ( Phi @ W ) ) ),
inference(simplify_rw_rule,[status(thm)],[mnot]) ).
thf('3',plain,
( mnot
= ( ^ [V_1: $i > $o,V_2: $i] :
~ ( V_1 @ V_2 ) ) ),
define([status(thm)]) ).
thf('4',plain,
( mdia_s4
= ( ^ [Phi: $i > $o] : ( mnot @ ( mbox_s4 @ ( mnot @ Phi ) ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[mdia_s4,'1','3']) ).
thf('5',plain,
( mdia_s4
= ( ^ [V_1: $i > $o] : ( mnot @ ( mbox_s4 @ ( mnot @ V_1 ) ) ) ) ),
define([status(thm)]) ).
thf(mvalid,axiom,
( mvalid
= ( ^ [Phi: $i > $o] :
! [W: $i] : ( Phi @ W ) ) ) ).
thf('6',plain,
( mvalid
= ( ^ [Phi: $i > $o] :
! [W: $i] : ( Phi @ W ) ) ),
inference(simplify_rw_rule,[status(thm)],[mvalid]) ).
thf('7',plain,
( mvalid
= ( ^ [V_1: $i > $o] :
! [X4: $i] : ( V_1 @ X4 ) ) ),
define([status(thm)]) ).
thf(mimplies,axiom,
( mimplies
= ( ^ [Phi: $i > $o,Psi: $i > $o] : ( mor @ ( mnot @ Phi ) @ Psi ) ) ) ).
thf(mor,axiom,
( mor
= ( ^ [Phi: $i > $o,Psi: $i > $o,W: $i] :
( ( Phi @ W )
| ( Psi @ W ) ) ) ) ).
thf('8',plain,
( mor
= ( ^ [Phi: $i > $o,Psi: $i > $o,W: $i] :
( ( Phi @ W )
| ( Psi @ W ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[mor]) ).
thf('9',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('10',plain,
( mimplies
= ( ^ [Phi: $i > $o,Psi: $i > $o] : ( mor @ ( mnot @ Phi ) @ Psi ) ) ),
inference(simplify_rw_rule,[status(thm)],[mimplies,'9','3']) ).
thf('11',plain,
( mimplies
= ( ^ [V_1: $i > $o,V_2: $i > $o] : ( mor @ ( mnot @ V_1 ) @ V_2 ) ) ),
define([status(thm)]) ).
thf(prove,conjecture,
mvalid @ ( mimplies @ ( mdia_s4 @ ( mbox_s4 @ p ) ) @ ( mdia_s4 @ ( mbox_s4 @ ( mdia_s4 @ ( mbox_s4 @ p ) ) ) ) ) ).
thf(zf_stmt_0,conjecture,
! [X4: $i] :
( ~ ! [X10: $i] :
( ~ ( rel_s4 @ X4 @ X10 )
| ~ ! [X12: $i] :
( ~ ( rel_s4 @ X10 @ X12 )
| ~ ! [X14: $i] :
( ~ ( rel_s4 @ X12 @ X14 )
| ~ ! [X16: $i] :
( ~ ( rel_s4 @ X14 @ X16 )
| ( p @ X16 ) ) ) ) )
| ! [X6: $i] :
( ~ ( rel_s4 @ X4 @ X6 )
| ~ ! [X8: $i] :
( ~ ( rel_s4 @ X6 @ X8 )
| ( p @ X8 ) ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ! [X4: $i] :
( ~ ! [X10: $i] :
( ~ ( rel_s4 @ X4 @ X10 )
| ~ ! [X12: $i] :
( ~ ( rel_s4 @ X10 @ X12 )
| ~ ! [X14: $i] :
( ~ ( rel_s4 @ X12 @ X14 )
| ~ ! [X16: $i] :
( ~ ( rel_s4 @ X14 @ X16 )
| ( p @ X16 ) ) ) ) )
| ! [X6: $i] :
( ~ ( rel_s4 @ X4 @ X6 )
| ~ ! [X8: $i] :
( ~ ( rel_s4 @ X6 @ X8 )
| ( p @ X8 ) ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2,plain,
~ ( !!
@ ^ [Y0: $i] :
( ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y2 ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ Y2 @ Y3 ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ Y3 @ Y4 ) )
| ( p @ Y4 ) ) ) ) ) ) ) ) ) ) ) ) )
| ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y2 ) )
| ( p @ Y2 ) ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl17,plain,
~ ( ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk1' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y2 ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ Y2 @ Y3 ) )
| ( p @ Y3 ) ) ) ) ) ) ) ) ) ) ) ) )
| ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk1' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( p @ Y1 ) ) ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl18,plain,
( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk1' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y2 ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ Y2 @ Y3 ) )
| ( p @ Y3 ) ) ) ) ) ) ) ) ) ) ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl17]) ).
thf(zip_derived_cl20,plain,
! [X2: $i] :
( ( (~) @ ( rel_s4 @ '#sk1' @ X2 ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ X2 @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y2 ) )
| ( p @ Y2 ) ) ) ) ) ) ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl18]) ).
thf(zip_derived_cl22,plain,
! [X2: $i] :
( ~ ( rel_s4 @ '#sk1' @ X2 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ X2 @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y2 ) )
| ( p @ Y2 ) ) ) ) ) ) ) ) ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl20]) ).
thf(zip_derived_cl25,plain,
! [X2: $i] :
( ~ ( ( (~) @ ( rel_s4 @ X2 @ ( '#sk3' @ X2 ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ ( '#sk3' @ X2 ) @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( p @ Y1 ) ) ) ) ) ) ) )
| ~ ( rel_s4 @ '#sk1' @ X2 ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl22]) ).
thf(zip_derived_cl27,plain,
! [X2: $i] :
( ( rel_s4 @ X2 @ ( '#sk3' @ X2 ) )
| ~ ( rel_s4 @ '#sk1' @ X2 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl25]) ).
thf(mreflexive,axiom,
( mreflexive
= ( ^ [R: $i > $i > $o] :
! [S: $i] : ( R @ S @ S ) ) ) ).
thf('12',plain,
( mreflexive
= ( ^ [R: $i > $i > $o] :
! [S: $i] : ( R @ S @ S ) ) ),
inference(simplify_rw_rule,[status(thm)],[mreflexive]) ).
thf('13',plain,
( mreflexive
= ( ^ [V_1: $i > $i > $o] :
! [X4: $i] : ( V_1 @ X4 @ X4 ) ) ),
define([status(thm)]) ).
thf(a1,axiom,
mreflexive @ rel_s4 ).
thf(zf_stmt_2,axiom,
! [X4: $i] : ( rel_s4 @ X4 @ X4 ) ).
thf(zip_derived_cl0,plain,
( !!
@ ^ [Y0: $i] : ( rel_s4 @ Y0 @ Y0 ) ),
inference(cnf,[status(esa)],[zf_stmt_2]) ).
thf(zip_derived_cl3,plain,
! [X2: $i] : ( rel_s4 @ X2 @ X2 ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl28,plain,
! [X2: $i] :
( ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ ( '#sk3' @ X2 ) @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( p @ Y1 ) ) ) ) ) )
| ~ ( rel_s4 @ '#sk1' @ X2 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl25]) ).
thf(zip_derived_cl30,plain,
! [X2: $i,X4: $i] :
( ( (~) @ ( rel_s4 @ ( '#sk3' @ X2 ) @ X4 ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ X4 @ Y0 ) )
| ( p @ Y0 ) ) ) )
| ~ ( rel_s4 @ '#sk1' @ X2 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl28]) ).
thf(zip_derived_cl31,plain,
! [X2: $i,X4: $i] :
( ~ ( rel_s4 @ ( '#sk3' @ X2 ) @ X4 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ X4 @ Y0 ) )
| ( p @ Y0 ) ) )
| ~ ( rel_s4 @ '#sk1' @ X2 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl30]) ).
thf(zip_derived_cl32,plain,
! [X2: $i,X4: $i] :
( ~ ( ( (~) @ ( rel_s4 @ X4 @ ( '#sk4' @ X4 ) ) )
| ( p @ ( '#sk4' @ X4 ) ) )
| ~ ( rel_s4 @ '#sk1' @ X2 )
| ~ ( rel_s4 @ ( '#sk3' @ X2 ) @ X4 ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl31]) ).
thf(zip_derived_cl34,plain,
! [X2: $i,X4: $i] :
( ~ ( p @ ( '#sk4' @ X4 ) )
| ~ ( rel_s4 @ ( '#sk3' @ X2 ) @ X4 )
| ~ ( rel_s4 @ '#sk1' @ X2 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl32]) ).
thf(zip_derived_cl42,plain,
! [X0: $i] :
( ~ ( rel_s4 @ '#sk1' @ X0 )
| ~ ( p @ ( '#sk4' @ ( '#sk3' @ X0 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl34]) ).
thf(zip_derived_cl19,plain,
~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk1' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( p @ Y1 ) ) ) ) ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl17]) ).
thf(zip_derived_cl21,plain,
~ ( ( (~) @ ( rel_s4 @ '#sk1' @ '#sk2' ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( p @ Y0 ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl19]) ).
thf(zip_derived_cl24,plain,
( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( p @ Y0 ) ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl21]) ).
thf(zip_derived_cl26,plain,
! [X2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ X2 ) )
| ( p @ X2 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl24]) ).
thf(zip_derived_cl29,plain,
! [X2: $i] :
( ~ ( rel_s4 @ '#sk2' @ X2 )
| ( p @ X2 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl26]) ).
thf(zip_derived_cl45,plain,
! [X0: $i] :
( ~ ( rel_s4 @ '#sk1' @ X0 )
| ~ ( rel_s4 @ '#sk2' @ ( '#sk4' @ ( '#sk3' @ X0 ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl42,zip_derived_cl29]) ).
thf(zip_derived_cl3_001,plain,
! [X2: $i] : ( rel_s4 @ X2 @ X2 ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl33,plain,
! [X2: $i,X4: $i] :
( ( rel_s4 @ X4 @ ( '#sk4' @ X4 ) )
| ~ ( rel_s4 @ ( '#sk3' @ X2 ) @ X4 )
| ~ ( rel_s4 @ '#sk1' @ X2 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl32]) ).
thf(zip_derived_cl50,plain,
! [X0: $i] :
( ~ ( rel_s4 @ '#sk1' @ X0 )
| ( rel_s4 @ ( '#sk3' @ X0 ) @ ( '#sk4' @ ( '#sk3' @ X0 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl33]) ).
thf(mtransitive,axiom,
( mtransitive
= ( ^ [R: $i > $i > $o] :
! [S: $i,T: $i,U: $i] :
( ( ( R @ S @ T )
& ( R @ T @ U ) )
=> ( R @ S @ U ) ) ) ) ).
thf('14',plain,
( mtransitive
= ( ^ [R: $i > $i > $o] :
! [S: $i,T: $i,U: $i] :
( ( ( R @ S @ T )
& ( R @ T @ U ) )
=> ( R @ S @ U ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[mtransitive]) ).
thf('15',plain,
( mtransitive
= ( ^ [V_1: $i > $i > $o] :
! [X4: $i,X6: $i,X8: $i] :
( ( ( V_1 @ X4 @ X6 )
& ( V_1 @ X6 @ X8 ) )
=> ( V_1 @ X4 @ X8 ) ) ) ),
define([status(thm)]) ).
thf(a2,axiom,
mtransitive @ rel_s4 ).
thf(zf_stmt_3,axiom,
! [X4: $i,X6: $i,X8: $i] :
( ( ( rel_s4 @ X6 @ X8 )
& ( rel_s4 @ X4 @ X6 ) )
=> ( rel_s4 @ X4 @ X8 ) ) ).
thf(zip_derived_cl1,plain,
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( ( rel_s4 @ Y1 @ Y2 )
& ( rel_s4 @ Y0 @ Y1 ) )
=> ( rel_s4 @ Y0 @ Y2 ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(zip_derived_cl4,plain,
! [X2: $i] :
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( ( rel_s4 @ Y0 @ Y1 )
& ( rel_s4 @ X2 @ Y0 ) )
=> ( rel_s4 @ X2 @ Y1 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl5,plain,
! [X2: $i,X4: $i] :
( !!
@ ^ [Y0: $i] :
( ( ( rel_s4 @ X4 @ Y0 )
& ( rel_s4 @ X2 @ X4 ) )
=> ( rel_s4 @ X2 @ Y0 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl6,plain,
! [X2: $i,X4: $i,X6: $i] :
( ( ( rel_s4 @ X4 @ X6 )
& ( rel_s4 @ X2 @ X4 ) )
=> ( rel_s4 @ X2 @ X6 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl7,plain,
! [X2: $i,X4: $i,X6: $i] :
( ~ ( ( rel_s4 @ X4 @ X6 )
& ( rel_s4 @ X2 @ X4 ) )
| ( rel_s4 @ X2 @ X6 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl6]) ).
thf(zip_derived_cl8,plain,
! [X2: $i,X4: $i,X6: $i] :
( ~ ( rel_s4 @ X4 @ X6 )
| ~ ( rel_s4 @ X2 @ X4 )
| ( rel_s4 @ X2 @ X6 ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl7]) ).
thf(zip_derived_cl55,plain,
! [X0: $i,X1: $i] :
( ~ ( rel_s4 @ '#sk1' @ X0 )
| ( rel_s4 @ X1 @ ( '#sk4' @ ( '#sk3' @ X0 ) ) )
| ~ ( rel_s4 @ X1 @ ( '#sk3' @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl50,zip_derived_cl8]) ).
thf(zip_derived_cl81,plain,
! [X0: $i] :
( ~ ( rel_s4 @ '#sk1' @ X0 )
| ~ ( rel_s4 @ '#sk2' @ ( '#sk3' @ X0 ) )
| ~ ( rel_s4 @ '#sk1' @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl45,zip_derived_cl55]) ).
thf(zip_derived_cl87,plain,
! [X0: $i] :
( ~ ( rel_s4 @ '#sk2' @ ( '#sk3' @ X0 ) )
| ~ ( rel_s4 @ '#sk1' @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl81]) ).
thf(zip_derived_cl94,plain,
( ~ ( rel_s4 @ '#sk1' @ '#sk2' )
| ~ ( rel_s4 @ '#sk1' @ '#sk2' ) ),
inference('sup-',[status(thm)],[zip_derived_cl27,zip_derived_cl87]) ).
thf(zip_derived_cl23,plain,
rel_s4 @ '#sk1' @ '#sk2',
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl21]) ).
thf(zip_derived_cl23_002,plain,
rel_s4 @ '#sk1' @ '#sk2',
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl21]) ).
thf(zip_derived_cl100,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl94,zip_derived_cl23,zip_derived_cl23]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SYO439^1 : TPTP v9.2.0. Released v4.0.0.
% 0.11/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.N7OkuF531d true
% 0.12/0.34 % Computer : n018.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Wed Oct 1 18:07:23 EDT 2025
% 0.12/0.34 % CPUTime :
% 0.12/0.35 % Running portfolio for 300 s
% 0.12/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.35 % Number of cores: 8
% 0.12/0.35 % Python version: Python 3.6.8
% 0.12/0.35 % Running in HO mode
% 0.61/0.61 % Total configuration time : 828
% 0.61/0.61 % Estimated wc time : 1656
% 0.61/0.61 % Estimated cpu time (8 cpus) : 207.0
% 0.77/0.69 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 1.24/0.71 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 1.24/0.71 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 1.24/0.71 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 1.24/0.71 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 1.24/0.71 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 1.24/0.71 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 1.24/0.72 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 1.24/0.75 % /export/starexec/sandbox2/solver/bin/lams/30_b.l.sh running for 90s
% 1.33/0.77 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif.sh running for 56s
% 1.33/0.82 % Solved by lams/35_full_unif4.sh.
% 1.33/0.82 % done 32 iterations in 0.070s
% 1.33/0.82 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.33/0.82 % SZS output start Refutation
% See solution above
% 1.33/0.82
% 1.33/0.82
% 1.33/0.82 % Terminating...
% 2.08/0.93 % Runner terminated.
% 2.10/0.95 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------