%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : PHI002^1 : TPTP v9.2.0. Released v6.1.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.w7MgPfdVzm true
% Computer : n023.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 04:49:02 PM UTC 2025
% Result : Theorem 0.58s 0.88s
% Output : Refutation 0.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 30
% Syntax : Number of formulae : 75 ( 39 unt; 0 typ; 0 def)
% Number of atoms : 245 ( 37 equ; 15 cnn)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 573 ( 49 ~; 31 |; 19 &; 408 @)
% ( 7 <=>; 23 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 6 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 156 ( 156 >; 0 *; 0 +; 0 <<)
% Number of symbols : 23 ( 18 usr; 5 con; 0-3 aty)
% ( 26 !!; 10 ??; 0 @@+; 0 @@-)
% Number of variables : 201 ( 127 ^; 64 !; 10 ?; 201 :)
% Comments :
%------------------------------------------------------------------------------
thf(mu_type,type,
mu: $tType ).
thf(mdia_type,type,
mdia: ( $i > $o ) > $i > $o ).
thf(mexists_ind_type,type,
mexists_ind: ( mu > $i > $o ) > $i > $o ).
thf('#sk1_type',type,
'#sk1': $i ).
thf(mand_type,type,
mand: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(rel_type,type,
rel: $i > $i > $o ).
thf(positive_type,type,
positive: ( mu > $i > $o ) > $i > $o ).
thf(mnot_type,type,
mnot: ( $i > $o ) > $i > $o ).
thf(mforall_ind_type,type,
mforall_ind: ( mu > $i > $o ) > $i > $o ).
thf(mbox_generic_type,type,
mbox_generic: ( $i > $i > $o ) > ( $i > $o ) > $i > $o ).
thf('#sk192_type',type,
'#sk192': $i > ( mu > $i > $o ) > ( mu > $i > $o ) > mu ).
thf('#sk151_type',type,
'#sk151': $i > ( mu > $i > $o ) > ( mu > $i > $o ) > $i ).
thf(mdia_generic_type,type,
mdia_generic: ( $i > $i > $o ) > ( $i > $o ) > $i > $o ).
thf('#sk2_type',type,
'#sk2': mu > $i > $o ).
thf(mequiv_type,type,
mequiv: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(mforall_indset_type,type,
mforall_indset: ( ( mu > $i > $o ) > $i > $o ) > $i > $o ).
thf(mvalid_type,type,
mvalid: ( $i > $o ) > $o ).
thf(mbox_type,type,
mbox: ( $i > $o ) > $i > $o ).
thf(mimplies_type,type,
mimplies: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(mvalid,axiom,
( mvalid
= ( ^ [Phi: $i > $o] :
! [W: $i] : ( Phi @ W ) ) ) ).
thf('0',plain,
( mvalid
= ( ^ [Phi: $i > $o] :
! [W: $i] : ( Phi @ 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(mdia,axiom,
( mdia
= ( mdia_generic @ rel ) ) ).
thf(mdia_generic,axiom,
( mdia_generic
= ( ^ [R: $i > $i > $o,Phi: $i > $o,W: $i] :
? [V: $i] :
( ( Phi @ V )
& ( R @ W @ V ) ) ) ) ).
thf('2',plain,
( mdia_generic
= ( ^ [R: $i > $i > $o,Phi: $i > $o,W: $i] :
? [V: $i] :
( ( Phi @ V )
& ( R @ W @ V ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[mdia_generic]) ).
thf('3',plain,
( mdia_generic
= ( ^ [V_1: $i > $i > $o,V_2: $i > $o,V_3: $i] :
? [X4: $i] :
( ( V_2 @ X4 )
& ( V_1 @ V_3 @ X4 ) ) ) ),
define([status(thm)]) ).
thf('4',plain,
( mdia
= ( mdia_generic @ rel ) ),
inference(simplify_rw_rule,[status(thm)],[mdia,'3']) ).
thf('5',plain,
( mdia
= ( mdia_generic @ rel ) ),
define([status(thm)]) ).
thf(mexists_ind,axiom,
( mexists_ind
= ( ^ [Phi: mu > $i > $o,W: $i] :
? [X: mu] : ( Phi @ X @ W ) ) ) ).
thf('6',plain,
( mexists_ind
= ( ^ [Phi: mu > $i > $o,W: $i] :
? [X: mu] : ( Phi @ X @ W ) ) ),
inference(simplify_rw_rule,[status(thm)],[mexists_ind]) ).
thf('7',plain,
( mexists_ind
= ( ^ [V_1: mu > $i > $o,V_2: $i] :
? [X4: mu] : ( V_1 @ X4 @ V_2 ) ) ),
define([status(thm)]) ).
thf(mforall_indset,axiom,
( mforall_indset
= ( ^ [Phi: ( mu > $i > $o ) > $i > $o,W: $i] :
! [X: mu > $i > $o] : ( Phi @ X @ W ) ) ) ).
thf('8',plain,
( mforall_indset
= ( ^ [Phi: ( mu > $i > $o ) > $i > $o,W: $i] :
! [X: mu > $i > $o] : ( Phi @ X @ W ) ) ),
inference(simplify_rw_rule,[status(thm)],[mforall_indset]) ).
thf('9',plain,
( mforall_indset
= ( ^ [V_1: ( mu > $i > $o ) > $i > $o,V_2: $i] :
! [X4: mu > $i > $o] : ( V_1 @ X4 @ V_2 ) ) ),
define([status(thm)]) ).
thf(mimplies,axiom,
( mimplies
= ( ^ [Phi: $i > $o,Psi: $i > $o,W: $i] :
( ( Phi @ W )
=> ( Psi @ W ) ) ) ) ).
thf('10',plain,
( mimplies
= ( ^ [Phi: $i > $o,Psi: $i > $o,W: $i] :
( ( Phi @ W )
=> ( Psi @ W ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[mimplies]) ).
thf('11',plain,
( mimplies
= ( ^ [V_1: $i > $o,V_2: $i > $o,V_3: $i] :
( ( V_1 @ V_3 )
=> ( V_2 @ V_3 ) ) ) ),
define([status(thm)]) ).
thf(thmT1,conjecture,
( mvalid
@ ( mforall_indset
@ ^ [Phi: mu > $i > $o] :
( mimplies @ ( positive @ Phi )
@ ( mdia
@ ( mexists_ind
@ ^ [X: mu] : ( Phi @ X ) ) ) ) ) ) ).
thf(zf_stmt_0,conjecture,
! [X4: $i,X6: mu > $i > $o] :
( ( positive @ X6 @ X4 )
=> ? [X8: $i] :
( ( rel @ X4 @ X8 )
& ? [X10: mu] : ( X6 @ X10 @ X8 ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ! [X4: $i,X6: mu > $i > $o] :
( ( positive @ X6 @ X4 )
=> ? [X8: $i] :
( ( rel @ X4 @ X8 )
& ? [X10: mu] : ( X6 @ X10 @ X8 ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl5,plain,
~ ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: mu > $i > $o] :
( ( positive @ Y1 @ Y0 )
=> ( ??
@ ^ [Y2: $i] :
( ( rel @ Y0 @ Y2 )
& ( ??
@ ^ [Y3: mu] : ( Y1 @ Y3 @ Y2 ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl6,plain,
~ ( !!
@ ^ [Y0: mu > $i > $o] :
( ( positive @ Y0 @ '#sk1' )
=> ( ??
@ ^ [Y1: $i] :
( ( rel @ '#sk1' @ Y1 )
& ( ??
@ ^ [Y2: mu] : ( Y0 @ Y2 @ Y1 ) ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl7,plain,
~ ( ( positive @ '#sk2' @ '#sk1' )
=> ( ??
@ ^ [Y0: $i] :
( ( rel @ '#sk1' @ Y0 )
& ( ??
@ ^ [Y1: mu] : ( '#sk2' @ Y1 @ Y0 ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl6]) ).
thf(zip_derived_cl8,plain,
positive @ '#sk2' @ '#sk1',
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl7]) ).
thf(mequiv,axiom,
( mequiv
= ( ^ [Phi: $i > $o,Psi: $i > $o,W: $i] :
( ( Phi @ W )
<=> ( Psi @ W ) ) ) ) ).
thf('12',plain,
( mequiv
= ( ^ [Phi: $i > $o,Psi: $i > $o,W: $i] :
( ( Phi @ W )
<=> ( Psi @ W ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[mequiv]) ).
thf('13',plain,
( mequiv
= ( ^ [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
= ( ^ [Phi: $i > $o,W: $i] :
~ ( Phi @ W ) ) ) ).
thf('14',plain,
( mnot
= ( ^ [Phi: $i > $o,W: $i] :
~ ( Phi @ W ) ) ),
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(axA1,axiom,
( mvalid
@ ( mforall_indset
@ ^ [Phi: mu > $i > $o] :
( mequiv
@ ( positive
@ ^ [X: mu] : ( mnot @ ( Phi @ X ) ) )
@ ( mnot @ ( positive @ Phi ) ) ) ) ) ).
thf(zf_stmt_2,axiom,
! [X4: $i,X6: mu > $i > $o] :
( ( positive
@ ^ [V_1: mu,V_2: $i] :
~ ( X6 @ V_1 @ V_2 )
@ X4 )
<=> ~ ( positive @ X6 @ X4 ) ) ).
thf(zip_derived_cl0,plain,
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: mu > $i > $o] :
( ( positive
@ ^ [Y2: mu,Y3: $i] : ( (~) @ ( Y1 @ Y2 @ Y3 ) )
@ Y0 )
<=> ( (~) @ ( positive @ Y1 @ Y0 ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_2]) ).
thf(zip_derived_cl18,plain,
! [X2: $i] :
( !!
@ ^ [Y0: mu > $i > $o] :
( ( positive
@ ^ [Y1: mu,Y2: $i] : ( (~) @ ( Y0 @ Y1 @ Y2 ) )
@ X2 )
<=> ( (~) @ ( positive @ Y0 @ X2 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl19,plain,
! [X2: $i,X4: mu > $i > $o] :
( ( positive
@ ^ [Y0: mu,Y1: $i] : ( (~) @ ( X4 @ Y0 @ Y1 ) )
@ X2 )
<=> ( (~) @ ( positive @ X4 @ X2 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl18]) ).
thf(zip_derived_cl22,plain,
! [X2: $i,X4: mu > $i > $o] :
( ( positive
@ ^ [Y0: mu,Y1: $i] : ( (~) @ ( X4 @ Y0 @ Y1 ) )
@ X2 )
!= ( positive @ X4 @ X2 ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl19]) ).
thf(zip_derived_cl27,plain,
~ ( positive
@ ^ [Y0: mu,Y1: $i] : ( (~) @ ( '#sk2' @ Y0 @ Y1 ) )
@ '#sk1' ),
inference('sup-',[status(thm)],[zip_derived_cl8,zip_derived_cl22]) ).
thf(mbox,axiom,
( mbox
= ( mbox_generic @ rel ) ) ).
thf(mbox_generic,axiom,
( mbox_generic
= ( ^ [R: $i > $i > $o,Phi: $i > $o,W: $i] :
! [V: $i] :
( ( Phi @ V )
| ~ ( R @ W @ V ) ) ) ) ).
thf('16',plain,
( mbox_generic
= ( ^ [R: $i > $i > $o,Phi: $i > $o,W: $i] :
! [V: $i] :
( ( Phi @ V )
| ~ ( R @ W @ V ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[mbox_generic]) ).
thf('17',plain,
( mbox_generic
= ( ^ [V_1: $i > $i > $o,V_2: $i > $o,V_3: $i] :
! [X4: $i] :
( ( V_2 @ X4 )
| ~ ( V_1 @ V_3 @ X4 ) ) ) ),
define([status(thm)]) ).
thf('18',plain,
( mbox
= ( mbox_generic @ rel ) ),
inference(simplify_rw_rule,[status(thm)],[mbox,'17']) ).
thf('19',plain,
( mbox
= ( mbox_generic @ rel ) ),
define([status(thm)]) ).
thf(mforall_ind,axiom,
( mforall_ind
= ( ^ [Phi: mu > $i > $o,W: $i] :
! [X: mu] : ( Phi @ X @ W ) ) ) ).
thf('20',plain,
( mforall_ind
= ( ^ [Phi: mu > $i > $o,W: $i] :
! [X: mu] : ( Phi @ X @ W ) ) ),
inference(simplify_rw_rule,[status(thm)],[mforall_ind]) ).
thf('21',plain,
( mforall_ind
= ( ^ [V_1: mu > $i > $o,V_2: $i] :
! [X4: mu] : ( V_1 @ X4 @ V_2 ) ) ),
define([status(thm)]) ).
thf(mand,axiom,
( mand
= ( ^ [Phi: $i > $o,Psi: $i > $o,W: $i] :
( ( Phi @ W )
& ( Psi @ W ) ) ) ) ).
thf('22',plain,
( mand
= ( ^ [Phi: $i > $o,Psi: $i > $o,W: $i] :
( ( Phi @ W )
& ( Psi @ W ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[mand]) ).
thf('23',plain,
( mand
= ( ^ [V_1: $i > $o,V_2: $i > $o,V_3: $i] :
( ( V_1 @ V_3 )
& ( V_2 @ V_3 ) ) ) ),
define([status(thm)]) ).
thf(axA2,axiom,
( mvalid
@ ( mforall_indset
@ ^ [Phi: mu > $i > $o] :
( mforall_indset
@ ^ [Psi: mu > $i > $o] :
( mimplies
@ ( mand @ ( positive @ Phi )
@ ( mbox
@ ( mforall_ind
@ ^ [X: mu] : ( mimplies @ ( Phi @ X ) @ ( Psi @ X ) ) ) ) )
@ ( positive @ Psi ) ) ) ) ) ).
thf(zf_stmt_3,axiom,
! [X4: $i,X6: mu > $i > $o,X8: mu > $i > $o] :
( ( ! [X10: $i] :
( ~ ( rel @ X4 @ X10 )
| ! [X12: mu] :
( ( X6 @ X12 @ X10 )
=> ( X8 @ X12 @ X10 ) ) )
& ( positive @ X6 @ X4 ) )
=> ( positive @ X8 @ X4 ) ) ).
thf(zip_derived_cl1,plain,
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: mu > $i > $o] :
( !!
@ ^ [Y2: mu > $i > $o] :
( ( ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel @ Y0 @ Y3 ) )
| ( !!
@ ^ [Y4: mu] :
( ( Y1 @ Y4 @ Y3 )
=> ( Y2 @ Y4 @ Y3 ) ) ) ) )
& ( positive @ Y1 @ Y0 ) )
=> ( positive @ Y2 @ Y0 ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(zip_derived_cl69,plain,
! [X2: $i] :
( !!
@ ^ [Y0: mu > $i > $o] :
( !!
@ ^ [Y1: mu > $i > $o] :
( ( ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel @ X2 @ Y2 ) )
| ( !!
@ ^ [Y3: mu] :
( ( Y0 @ Y3 @ Y2 )
=> ( Y1 @ Y3 @ Y2 ) ) ) ) )
& ( positive @ Y0 @ X2 ) )
=> ( positive @ Y1 @ X2 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl70,plain,
! [X2: $i,X4: mu > $i > $o] :
( !!
@ ^ [Y0: mu > $i > $o] :
( ( ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel @ X2 @ Y1 ) )
| ( !!
@ ^ [Y2: mu] :
( ( X4 @ Y2 @ Y1 )
=> ( Y0 @ Y2 @ Y1 ) ) ) ) )
& ( positive @ X4 @ X2 ) )
=> ( positive @ Y0 @ X2 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl69]) ).
thf(zip_derived_cl74,plain,
! [X2: $i,X4: mu > $i > $o,X6: mu > $i > $o] :
( ( ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel @ X2 @ Y0 ) )
| ( !!
@ ^ [Y1: mu] :
( ( X4 @ Y1 @ Y0 )
=> ( X6 @ Y1 @ Y0 ) ) ) ) )
& ( positive @ X4 @ X2 ) )
=> ( positive @ X6 @ X2 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl70]) ).
thf(zip_derived_cl78,plain,
! [X2: $i,X4: mu > $i > $o,X6: mu > $i > $o] :
( ~ ( ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel @ X2 @ Y0 ) )
| ( !!
@ ^ [Y1: mu] :
( ( X4 @ Y1 @ Y0 )
=> ( X6 @ Y1 @ Y0 ) ) ) ) )
& ( positive @ X4 @ X2 ) )
| ( positive @ X6 @ X2 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl74]) ).
thf(zip_derived_cl79,plain,
! [X2: $i,X4: mu > $i > $o,X6: mu > $i > $o] :
( ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel @ X2 @ Y0 ) )
| ( !!
@ ^ [Y1: mu] :
( ( X4 @ Y1 @ Y0 )
=> ( X6 @ Y1 @ Y0 ) ) ) ) )
| ~ ( positive @ X4 @ X2 )
| ( positive @ X6 @ X2 ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl78]) ).
thf(zip_derived_cl80,plain,
! [X2: $i,X4: mu > $i > $o,X6: mu > $i > $o] :
( ~ ( ( (~) @ ( rel @ X2 @ ( '#sk151' @ X2 @ X4 @ X6 ) ) )
| ( !!
@ ^ [Y0: mu] :
( ( X4 @ Y0 @ ( '#sk151' @ X2 @ X4 @ X6 ) )
=> ( X6 @ Y0 @ ( '#sk151' @ X2 @ X4 @ X6 ) ) ) ) )
| ( positive @ X6 @ X2 )
| ~ ( positive @ X4 @ X2 ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl79]) ).
thf(zip_derived_cl81,plain,
! [X2: $i,X4: mu > $i > $o,X6: mu > $i > $o] :
( ( rel @ X2 @ ( '#sk151' @ X2 @ X4 @ X6 ) )
| ~ ( positive @ X4 @ X2 )
| ( positive @ X6 @ X2 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl80]) ).
thf(zip_derived_cl8_001,plain,
positive @ '#sk2' @ '#sk1',
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl7]) ).
thf(zip_derived_cl82,plain,
! [X2: $i,X4: mu > $i > $o,X6: mu > $i > $o] :
( ~ ( !!
@ ^ [Y0: mu] :
( ( X4 @ Y0 @ ( '#sk151' @ X2 @ X4 @ X6 ) )
=> ( X6 @ Y0 @ ( '#sk151' @ X2 @ X4 @ X6 ) ) ) )
| ~ ( positive @ X4 @ X2 )
| ( positive @ X6 @ X2 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl80]) ).
thf(zip_derived_cl83,plain,
! [X2: $i,X4: mu > $i > $o,X6: mu > $i > $o] :
( ~ ( ( X4 @ ( '#sk192' @ X2 @ X4 @ X6 ) @ ( '#sk151' @ X2 @ X4 @ X6 ) )
=> ( X6 @ ( '#sk192' @ X2 @ X4 @ X6 ) @ ( '#sk151' @ X2 @ X4 @ X6 ) ) )
| ( positive @ X6 @ X2 )
| ~ ( positive @ X4 @ X2 ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl82]) ).
thf(zip_derived_cl84,plain,
! [X2: $i,X4: mu > $i > $o,X6: mu > $i > $o] :
( ( X4 @ ( '#sk192' @ X2 @ X4 @ X6 ) @ ( '#sk151' @ X2 @ X4 @ X6 ) )
| ~ ( positive @ X4 @ X2 )
| ( positive @ X6 @ X2 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl83]) ).
thf(zip_derived_cl100,plain,
! [X0: mu > $i > $o] :
( ( positive @ X0 @ '#sk1' )
| ( '#sk2' @ ( '#sk192' @ '#sk1' @ '#sk2' @ X0 ) @ ( '#sk151' @ '#sk1' @ '#sk2' @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl8,zip_derived_cl84]) ).
thf(zip_derived_cl9,plain,
~ ( ??
@ ^ [Y0: $i] :
( ( rel @ '#sk1' @ Y0 )
& ( ??
@ ^ [Y1: mu] : ( '#sk2' @ Y1 @ Y0 ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl7]) ).
thf(zip_derived_cl10,plain,
! [X2: $i] :
~ ( ( rel @ '#sk1' @ X2 )
& ( ??
@ ^ [Y0: mu] : ( '#sk2' @ Y0 @ X2 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl9]) ).
thf(zip_derived_cl11,plain,
! [X2: $i] :
( ~ ( rel @ '#sk1' @ X2 )
| ~ ( ??
@ ^ [Y0: mu] : ( '#sk2' @ Y0 @ X2 ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl10]) ).
thf(zip_derived_cl12,plain,
! [X2: $i,X4: mu] :
( ~ ( '#sk2' @ X4 @ X2 )
| ~ ( rel @ '#sk1' @ X2 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl11]) ).
thf(zip_derived_cl117,plain,
! [X0: mu > $i > $o] :
( ( positive @ X0 @ '#sk1' )
| ~ ( rel @ '#sk1' @ ( '#sk151' @ '#sk1' @ '#sk2' @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl100,zip_derived_cl12]) ).
thf(zip_derived_cl148,plain,
! [X0: mu > $i > $o] :
( ( positive @ X0 @ '#sk1' )
| ~ ( positive @ '#sk2' @ '#sk1' )
| ( positive @ X0 @ '#sk1' ) ),
inference('sup-',[status(thm)],[zip_derived_cl81,zip_derived_cl117]) ).
thf(zip_derived_cl8_002,plain,
positive @ '#sk2' @ '#sk1',
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl7]) ).
thf(zip_derived_cl151,plain,
! [X0: mu > $i > $o] :
( ( positive @ X0 @ '#sk1' )
| ( positive @ X0 @ '#sk1' ) ),
inference(demod,[status(thm)],[zip_derived_cl148,zip_derived_cl8]) ).
thf(zip_derived_cl152,plain,
! [X0: mu > $i > $o] : ( positive @ X0 @ '#sk1' ),
inference(simplify,[status(thm)],[zip_derived_cl151]) ).
thf(zip_derived_cl159,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl27,zip_derived_cl152]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : PHI002^1 : TPTP v9.2.0. Released v6.1.0.
% 0.11/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.w7MgPfdVzm true
% 0.14/0.34 % Computer : n023.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Wed Oct 1 16:57:08 EDT 2025
% 0.14/0.34 % CPUTime :
% 0.14/0.34 % Running portfolio for 300 s
% 0.14/0.34 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.34 % Number of cores: 8
% 0.14/0.35 % Python version: Python 3.6.8
% 0.14/0.35 % Running in HO mode
% 0.56/0.65 % Total configuration time : 828
% 0.56/0.65 % Estimated wc time : 1656
% 0.56/0.65 % Estimated cpu time (8 cpus) : 207.0
% 0.56/0.72 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.56/0.72 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.56/0.74 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.56/0.74 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.56/0.76 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 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/20_acsne_simpl.sh running for 40s
% 0.57/0.77 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 0.57/0.78 % /export/starexec/sandbox2/solver/bin/lams/30_b.l.sh running for 90s
% 0.57/0.81 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif.sh running for 56s
% 0.58/0.88 % Solved by lams/35_full_unif4.sh.
% 0.58/0.88 % done 24 iterations in 0.138s
% 0.58/0.88 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.58/0.88 % SZS output start Refutation
% See solution above
% 0.59/0.88
% 0.59/0.88
% 0.59/0.88 % Terminating...
% 0.61/1.00 % Runner terminated.
% 0.61/1.01 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------