%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SYO462^3 : 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.wa2Zokb7MK true
% Computer : n005.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 05:07:37 PM UTC 2025
% Result : Theorem 0.56s 0.78s
% Output : Refutation 0.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 16
% Syntax : Number of formulae : 88 ( 32 unt; 0 typ; 0 def)
% Number of atoms : 459 ( 21 equ; 95 cnn)
% Maximal formula atoms : 35 ( 5 avg)
% Number of connectives : 975 ( 202 ~; 180 |; 0 &; 552 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 33 ( 33 >; 0 *; 0 +; 0 <<)
% Number of symbols : 18 ( 13 usr; 7 con; 0-3 aty)
% ( 41 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 125 ( 83 ^; 42 !; 0 ?; 125 :)
% Comments :
%------------------------------------------------------------------------------
thf('#sk1_type',type,
'#sk1': $i ).
thf(q_type,type,
q: $i > $o ).
thf(rel_m_type,type,
rel_m: $i > $i > $o ).
thf(mand_type,type,
mand: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(mnot_type,type,
mnot: ( $i > $o ) > $i > $o ).
thf(mimplies_type,type,
mimplies: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf('#sk3_type',type,
'#sk3': $i ).
thf('#sk2_type',type,
'#sk2': $i ).
thf(p_type,type,
p: $i > $o ).
thf(mbox_m_type,type,
mbox_m: ( $i > $o ) > $i > $o ).
thf(mequiv_type,type,
mequiv: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(mor_type,type,
mor: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(mvalid_type,type,
mvalid: ( $i > $o ) > $o ).
thf(mbox_m,axiom,
( mbox_m
= ( ^ [Phi: $i > $o,W: $i] :
! [V: $i] :
( ( Phi @ V )
| ~ ( rel_m @ W @ V ) ) ) ) ).
thf('0',plain,
( mbox_m
= ( ^ [Phi: $i > $o,W: $i] :
! [V: $i] :
( ( Phi @ V )
| ~ ( rel_m @ W @ V ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[mbox_m]) ).
thf('1',plain,
( mbox_m
= ( ^ [V_1: $i > $o,V_2: $i] :
! [X4: $i] :
( ( V_1 @ X4 )
| ~ ( rel_m @ V_2 @ X4 ) ) ) ),
define([status(thm)]) ).
thf(mvalid,axiom,
( mvalid
= ( ^ [Phi: $i > $o] :
! [W: $i] : ( Phi @ W ) ) ) ).
thf('2',plain,
( mvalid
= ( ^ [Phi: $i > $o] :
! [W: $i] : ( Phi @ W ) ) ),
inference(simplify_rw_rule,[status(thm)],[mvalid]) ).
thf('3',plain,
( mvalid
= ( ^ [V_1: $i > $o] :
! [X4: $i] : ( V_1 @ X4 ) ) ),
define([status(thm)]) ).
thf(mequiv,axiom,
( mequiv
= ( ^ [Phi: $i > $o,Psi: $i > $o] : ( mand @ ( mimplies @ Phi @ Psi ) @ ( mimplies @ Psi @ Phi ) ) ) ) ).
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('4',plain,
( mor
= ( ^ [Phi: $i > $o,Psi: $i > $o,W: $i] :
( ( Phi @ W )
| ( Psi @ W ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[mor]) ).
thf('5',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
= ( ^ [Phi: $i > $o,W: $i] :
~ ( Phi @ W ) ) ) ).
thf('6',plain,
( mnot
= ( ^ [Phi: $i > $o,W: $i] :
~ ( Phi @ W ) ) ),
inference(simplify_rw_rule,[status(thm)],[mnot]) ).
thf('7',plain,
( mnot
= ( ^ [V_1: $i > $o,V_2: $i] :
~ ( V_1 @ V_2 ) ) ),
define([status(thm)]) ).
thf('8',plain,
( mimplies
= ( ^ [Phi: $i > $o,Psi: $i > $o] : ( mor @ ( mnot @ Phi ) @ Psi ) ) ),
inference(simplify_rw_rule,[status(thm)],[mimplies,'5','7']) ).
thf('9',plain,
( mimplies
= ( ^ [V_1: $i > $o,V_2: $i > $o] : ( mor @ ( mnot @ V_1 ) @ V_2 ) ) ),
define([status(thm)]) ).
thf(mand,axiom,
( mand
= ( ^ [Phi: $i > $o,Psi: $i > $o] : ( mnot @ ( mor @ ( mnot @ Phi ) @ ( mnot @ Psi ) ) ) ) ) ).
thf('10',plain,
( mand
= ( ^ [Phi: $i > $o,Psi: $i > $o] : ( mnot @ ( mor @ ( mnot @ Phi ) @ ( mnot @ Psi ) ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[mand,'5','7']) ).
thf('11',plain,
( mand
= ( ^ [V_1: $i > $o,V_2: $i > $o] : ( mnot @ ( mor @ ( mnot @ V_1 ) @ ( mnot @ V_2 ) ) ) ) ),
define([status(thm)]) ).
thf('12',plain,
( mequiv
= ( ^ [Phi: $i > $o,Psi: $i > $o] : ( mand @ ( mimplies @ Phi @ Psi ) @ ( mimplies @ Psi @ Phi ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[mequiv,'9','11','5','7']) ).
thf('13',plain,
( mequiv
= ( ^ [V_1: $i > $o,V_2: $i > $o] : ( mand @ ( mimplies @ V_1 @ V_2 ) @ ( mimplies @ V_2 @ V_1 ) ) ) ),
define([status(thm)]) ).
thf(prove,conjecture,
mvalid @ ( mimplies @ ( mbox_m @ ( mequiv @ p @ q ) ) @ ( mequiv @ ( mbox_m @ p ) @ ( mbox_m @ q ) ) ) ).
thf(zf_stmt_0,conjecture,
! [X4: $i] :
( ~ ( ~ ( ! [X14: $i] :
( ~ ( rel_m @ X4 @ X14 )
| ( p @ X14 ) )
| ~ ! [X12: $i] :
( ~ ( rel_m @ X4 @ X12 )
| ( q @ X12 ) ) )
| ~ ( ! [X10: $i] :
( ~ ( rel_m @ X4 @ X10 )
| ( q @ X10 ) )
| ~ ! [X8: $i] :
( ~ ( rel_m @ X4 @ X8 )
| ( p @ X8 ) ) ) )
| ~ ! [X6: $i] :
( ~ ( rel_m @ X4 @ X6 )
| ~ ( ~ ( ( p @ X6 )
| ~ ( q @ X6 ) )
| ~ ( ( q @ X6 )
| ~ ( p @ X6 ) ) ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ! [X4: $i] :
( ~ ( ~ ( ! [X14: $i] :
( ~ ( rel_m @ X4 @ X14 )
| ( p @ X14 ) )
| ~ ! [X12: $i] :
( ~ ( rel_m @ X4 @ X12 )
| ( q @ X12 ) ) )
| ~ ( ! [X10: $i] :
( ~ ( rel_m @ X4 @ X10 )
| ( q @ X10 ) )
| ~ ! [X8: $i] :
( ~ ( rel_m @ X4 @ X8 )
| ( p @ X8 ) ) ) )
| ~ ! [X6: $i] :
( ~ ( rel_m @ X4 @ X6 )
| ~ ( ~ ( ( p @ X6 )
| ~ ( q @ X6 ) )
| ~ ( ( q @ X6 )
| ~ ( p @ X6 ) ) ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1,plain,
~ ( !!
@ ^ [Y0: $i] :
( ( (~)
@ ( ( (~)
@ ( ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_m @ Y0 @ Y1 ) )
| ( p @ Y1 ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_m @ Y0 @ Y1 ) )
| ( q @ Y1 ) ) ) ) ) )
| ( (~)
@ ( ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_m @ Y0 @ Y1 ) )
| ( q @ Y1 ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_m @ Y0 @ Y1 ) )
| ( p @ Y1 ) ) ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_m @ Y0 @ Y1 ) )
| ( (~)
@ ( ( (~)
@ ( ( p @ Y1 )
| ( (~) @ ( q @ Y1 ) ) ) )
| ( (~)
@ ( ( q @ Y1 )
| ( (~) @ ( p @ Y1 ) ) ) ) ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl3,plain,
~ ( ( (~)
@ ( ( (~)
@ ( ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_m @ '#sk1' @ Y0 ) )
| ( p @ Y0 ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_m @ '#sk1' @ Y0 ) )
| ( q @ Y0 ) ) ) ) ) )
| ( (~)
@ ( ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_m @ '#sk1' @ Y0 ) )
| ( q @ Y0 ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_m @ '#sk1' @ Y0 ) )
| ( p @ Y0 ) ) ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_m @ '#sk1' @ Y0 ) )
| ( (~)
@ ( ( (~)
@ ( ( p @ Y0 )
| ( (~) @ ( q @ Y0 ) ) ) )
| ( (~)
@ ( ( q @ Y0 )
| ( (~) @ ( p @ Y0 ) ) ) ) ) ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl4,plain,
( ( (~)
@ ( ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_m @ '#sk1' @ Y0 ) )
| ( p @ Y0 ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_m @ '#sk1' @ Y0 ) )
| ( q @ Y0 ) ) ) ) ) )
| ( (~)
@ ( ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_m @ '#sk1' @ Y0 ) )
| ( q @ Y0 ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_m @ '#sk1' @ Y0 ) )
| ( p @ Y0 ) ) ) ) ) ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl3]) ).
thf(zip_derived_cl6,plain,
( ~ ( ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_m @ '#sk1' @ Y0 ) )
| ( p @ Y0 ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_m @ '#sk1' @ Y0 ) )
| ( q @ Y0 ) ) ) ) )
| ~ ( ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_m @ '#sk1' @ Y0 ) )
| ( q @ Y0 ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_m @ '#sk1' @ Y0 ) )
| ( p @ Y0 ) ) ) ) ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl8,plain,
( ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_m @ '#sk1' @ Y0 ) )
| ( p @ Y0 ) ) )
| ~ ( ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_m @ '#sk1' @ Y0 ) )
| ( q @ Y0 ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_m @ '#sk1' @ Y0 ) )
| ( p @ Y0 ) ) ) ) ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl6]) ).
thf(zip_derived_cl11,plain,
( ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_m @ '#sk1' @ Y0 ) )
| ( p @ Y0 ) ) )
| ~ ( ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_m @ '#sk1' @ Y0 ) )
| ( q @ Y0 ) ) )
| ( (~) @ $true ) ) ),
inference(local_rewriting,[status(thm)],[zip_derived_cl8]) ).
thf(zip_derived_cl12,plain,
( ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_m @ '#sk1' @ Y0 ) )
| ( p @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_m @ '#sk1' @ Y0 ) )
| ( q @ Y0 ) ) ) ),
inference('simplify boolean subterms',[status(thm)],[zip_derived_cl11]) ).
thf(zip_derived_cl13,plain,
( ~ ( ( (~) @ ( rel_m @ '#sk1' @ '#sk2' ) )
| ( p @ '#sk2' ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_m @ '#sk1' @ Y0 ) )
| ( q @ Y0 ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl12]) ).
thf(zip_derived_cl21,plain,
( ~ ( p @ '#sk2' )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_m @ '#sk1' @ Y0 ) )
| ( q @ Y0 ) ) ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl13]) ).
thf(zip_derived_cl26,plain,
( ~ ( ( (~) @ ( rel_m @ '#sk1' @ '#sk3' ) )
| ( q @ '#sk3' ) )
| ~ ( p @ '#sk2' ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl21]) ).
thf(zip_derived_cl31,plain,
( ~ ( q @ '#sk3' )
| ~ ( p @ '#sk2' ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl26]) ).
thf(zip_derived_cl20,plain,
( ( rel_m @ '#sk1' @ '#sk2' )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_m @ '#sk1' @ Y0 ) )
| ( q @ Y0 ) ) ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl13]) ).
thf(zip_derived_cl25,plain,
( ~ ( ( (~) @ ( rel_m @ '#sk1' @ '#sk3' ) )
| ( q @ '#sk3' ) )
| ( rel_m @ '#sk1' @ '#sk2' ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl20]) ).
thf(zip_derived_cl29,plain,
( ~ ( q @ '#sk3' )
| ( rel_m @ '#sk1' @ '#sk2' ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl25]) ).
thf(zip_derived_cl28,plain,
( ( rel_m @ '#sk1' @ '#sk3' )
| ( rel_m @ '#sk1' @ '#sk2' ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl25]) ).
thf(zip_derived_cl9,plain,
( ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_m @ '#sk1' @ Y0 ) )
| ( q @ Y0 ) ) )
| ~ ( ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_m @ '#sk1' @ Y0 ) )
| ( q @ Y0 ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_m @ '#sk1' @ Y0 ) )
| ( p @ Y0 ) ) ) ) ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl6]) ).
thf(zip_derived_cl14,plain,
( ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_m @ '#sk1' @ Y0 ) )
| ( q @ Y0 ) ) )
| ~ ( $false
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_m @ '#sk1' @ Y0 ) )
| ( p @ Y0 ) ) ) ) ) ),
inference(local_rewriting,[status(thm)],[zip_derived_cl9]) ).
thf(zip_derived_cl15,plain,
( ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_m @ '#sk1' @ Y0 ) )
| ( q @ Y0 ) ) )
| ~ ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_m @ '#sk1' @ Y0 ) )
| ( p @ Y0 ) ) ) ) ),
inference('simplify boolean subterms',[status(thm)],[zip_derived_cl14]) ).
thf(zip_derived_cl16,plain,
( ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_m @ '#sk1' @ Y0 ) )
| ( q @ Y0 ) ) )
| ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_m @ '#sk1' @ Y0 ) )
| ( p @ Y0 ) ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl15]) ).
thf(zip_derived_cl17,plain,
! [X2: $i] :
( ( (~) @ ( rel_m @ '#sk1' @ X2 ) )
| ( q @ X2 )
| ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_m @ '#sk1' @ Y0 ) )
| ( p @ Y0 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl16]) ).
thf(zip_derived_cl22,plain,
! [X2: $i] :
( ~ ( rel_m @ '#sk1' @ X2 )
| ( q @ X2 )
| ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_m @ '#sk1' @ Y0 ) )
| ( p @ Y0 ) ) ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl17]) ).
thf(zip_derived_cl27,plain,
! [X2: $i,X4: $i] :
( ( (~) @ ( rel_m @ '#sk1' @ X4 ) )
| ( p @ X4 )
| ( q @ X2 )
| ~ ( rel_m @ '#sk1' @ X2 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl22]) ).
thf(zip_derived_cl32,plain,
! [X2: $i,X4: $i] :
( ~ ( rel_m @ '#sk1' @ X4 )
| ( p @ X4 )
| ~ ( rel_m @ '#sk1' @ X2 )
| ( q @ X2 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl27]) ).
thf(zip_derived_cl54,plain,
! [X0: $i] :
( ( rel_m @ '#sk1' @ '#sk2' )
| ( q @ X0 )
| ~ ( rel_m @ '#sk1' @ X0 )
| ( p @ '#sk3' ) ),
inference('sup-',[status(thm)],[zip_derived_cl28,zip_derived_cl32]) ).
thf(zip_derived_cl5,plain,
( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_m @ '#sk1' @ Y0 ) )
| ( (~)
@ ( ( (~)
@ ( ( p @ Y0 )
| ( (~) @ ( q @ Y0 ) ) ) )
| ( (~)
@ ( ( q @ Y0 )
| ( (~) @ ( p @ Y0 ) ) ) ) ) ) ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl3]) ).
thf(zip_derived_cl7,plain,
! [X2: $i] :
( ( (~) @ ( rel_m @ '#sk1' @ X2 ) )
| ( (~)
@ ( ( (~)
@ ( ( p @ X2 )
| ( (~) @ ( q @ X2 ) ) ) )
| ( (~)
@ ( ( q @ X2 )
| ( (~) @ ( p @ X2 ) ) ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl10,plain,
! [X2: $i] :
( ~ ( rel_m @ '#sk1' @ X2 )
| ~ ( ( (~)
@ ( ( p @ X2 )
| ( (~) @ ( q @ X2 ) ) ) )
| ( (~)
@ ( ( q @ X2 )
| ( (~) @ ( p @ X2 ) ) ) ) ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl7]) ).
thf(zip_derived_cl19,plain,
! [X2: $i] :
( ( q @ X2 )
| ( (~) @ ( p @ X2 ) )
| ~ ( rel_m @ '#sk1' @ X2 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl10]) ).
thf(zip_derived_cl24,plain,
! [X2: $i] :
( ( q @ X2 )
| ~ ( p @ X2 )
| ~ ( rel_m @ '#sk1' @ X2 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl19]) ).
thf(zip_derived_cl29_001,plain,
( ~ ( q @ '#sk3' )
| ( rel_m @ '#sk1' @ '#sk2' ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl25]) ).
thf(zip_derived_cl34,plain,
( ~ ( rel_m @ '#sk1' @ '#sk3' )
| ~ ( p @ '#sk3' )
| ( rel_m @ '#sk1' @ '#sk2' ) ),
inference('sup-',[status(thm)],[zip_derived_cl24,zip_derived_cl29]) ).
thf(zip_derived_cl28_002,plain,
( ( rel_m @ '#sk1' @ '#sk3' )
| ( rel_m @ '#sk1' @ '#sk2' ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl25]) ).
thf(zip_derived_cl53,plain,
( ( rel_m @ '#sk1' @ '#sk2' )
| ~ ( p @ '#sk3' ) ),
inference(clc,[status(thm)],[zip_derived_cl34,zip_derived_cl28]) ).
thf(zip_derived_cl86,plain,
! [X0: $i] :
( ~ ( rel_m @ '#sk1' @ X0 )
| ( q @ X0 )
| ( rel_m @ '#sk1' @ '#sk2' ) ),
inference(clc,[status(thm)],[zip_derived_cl54,zip_derived_cl53]) ).
thf(zip_derived_cl91,plain,
( ( rel_m @ '#sk1' @ '#sk2' )
| ( rel_m @ '#sk1' @ '#sk2' )
| ~ ( rel_m @ '#sk1' @ '#sk3' ) ),
inference('sup+',[status(thm)],[zip_derived_cl29,zip_derived_cl86]) ).
thf(zip_derived_cl99,plain,
( ~ ( rel_m @ '#sk1' @ '#sk3' )
| ( rel_m @ '#sk1' @ '#sk2' ) ),
inference(simplify,[status(thm)],[zip_derived_cl91]) ).
thf(zip_derived_cl28_003,plain,
( ( rel_m @ '#sk1' @ '#sk3' )
| ( rel_m @ '#sk1' @ '#sk2' ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl25]) ).
thf(zip_derived_cl107,plain,
rel_m @ '#sk1' @ '#sk2',
inference(clc,[status(thm)],[zip_derived_cl99,zip_derived_cl28]) ).
thf(zip_derived_cl18,plain,
! [X2: $i] :
( ( p @ X2 )
| ( (~) @ ( q @ X2 ) )
| ~ ( rel_m @ '#sk1' @ X2 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl10]) ).
thf(zip_derived_cl23,plain,
! [X2: $i] :
( ( p @ X2 )
| ~ ( q @ X2 )
| ~ ( rel_m @ '#sk1' @ X2 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl18]) ).
thf(zip_derived_cl107_004,plain,
rel_m @ '#sk1' @ '#sk2',
inference(clc,[status(thm)],[zip_derived_cl99,zip_derived_cl28]) ).
thf(zip_derived_cl32_005,plain,
! [X2: $i,X4: $i] :
( ~ ( rel_m @ '#sk1' @ X4 )
| ( p @ X4 )
| ~ ( rel_m @ '#sk1' @ X2 )
| ( q @ X2 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl27]) ).
thf(zip_derived_cl108,plain,
! [X0: $i] :
( ( q @ X0 )
| ~ ( rel_m @ '#sk1' @ X0 )
| ( p @ '#sk2' ) ),
inference('sup-',[status(thm)],[zip_derived_cl107,zip_derived_cl32]) ).
thf(zip_derived_cl113,plain,
! [X0: $i] :
( ~ ( rel_m @ '#sk1' @ X0 )
| ( p @ X0 )
| ( p @ '#sk2' )
| ~ ( rel_m @ '#sk1' @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl23,zip_derived_cl108]) ).
thf(zip_derived_cl118,plain,
! [X0: $i] :
( ( p @ '#sk2' )
| ( p @ X0 )
| ~ ( rel_m @ '#sk1' @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl113]) ).
thf(zip_derived_cl139,plain,
( ( p @ '#sk2' )
| ( p @ '#sk2' ) ),
inference('sup-',[status(thm)],[zip_derived_cl107,zip_derived_cl118]) ).
thf(zip_derived_cl143,plain,
p @ '#sk2',
inference(simplify,[status(thm)],[zip_derived_cl139]) ).
thf(zip_derived_cl146,plain,
~ ( q @ '#sk3' ),
inference(demod,[status(thm)],[zip_derived_cl31,zip_derived_cl143]) ).
thf(zip_derived_cl30,plain,
( ( rel_m @ '#sk1' @ '#sk3' )
| ~ ( p @ '#sk2' ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl26]) ).
thf(zip_derived_cl143_006,plain,
p @ '#sk2',
inference(simplify,[status(thm)],[zip_derived_cl139]) ).
thf(zip_derived_cl145,plain,
rel_m @ '#sk1' @ '#sk3',
inference(demod,[status(thm)],[zip_derived_cl30,zip_derived_cl143]) ).
thf(zip_derived_cl32_007,plain,
! [X2: $i,X4: $i] :
( ~ ( rel_m @ '#sk1' @ X4 )
| ( p @ X4 )
| ~ ( rel_m @ '#sk1' @ X2 )
| ( q @ X2 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl27]) ).
thf(zip_derived_cl148,plain,
! [X0: $i] :
( ( q @ X0 )
| ~ ( rel_m @ '#sk1' @ X0 )
| ( p @ '#sk3' ) ),
inference('sup-',[status(thm)],[zip_derived_cl145,zip_derived_cl32]) ).
thf(zip_derived_cl24_008,plain,
! [X2: $i] :
( ( q @ X2 )
| ~ ( p @ X2 )
| ~ ( rel_m @ '#sk1' @ X2 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl19]) ).
thf(zip_derived_cl31_009,plain,
( ~ ( q @ '#sk3' )
| ~ ( p @ '#sk2' ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl26]) ).
thf(zip_derived_cl33,plain,
( ~ ( rel_m @ '#sk1' @ '#sk3' )
| ~ ( p @ '#sk3' )
| ~ ( p @ '#sk2' ) ),
inference('sup-',[status(thm)],[zip_derived_cl24,zip_derived_cl31]) ).
thf(zip_derived_cl30_010,plain,
( ( rel_m @ '#sk1' @ '#sk3' )
| ~ ( p @ '#sk2' ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl26]) ).
thf(zip_derived_cl49,plain,
( ~ ( p @ '#sk2' )
| ~ ( p @ '#sk3' ) ),
inference(clc,[status(thm)],[zip_derived_cl33,zip_derived_cl30]) ).
thf(zip_derived_cl143_011,plain,
p @ '#sk2',
inference(simplify,[status(thm)],[zip_derived_cl139]) ).
thf(zip_derived_cl147,plain,
~ ( p @ '#sk3' ),
inference(demod,[status(thm)],[zip_derived_cl49,zip_derived_cl143]) ).
thf(zip_derived_cl158,plain,
! [X0: $i] :
( ( q @ X0 )
| ~ ( rel_m @ '#sk1' @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl148,zip_derived_cl147]) ).
thf(zip_derived_cl161,plain,
~ ( rel_m @ '#sk1' @ '#sk3' ),
inference('sup+',[status(thm)],[zip_derived_cl146,zip_derived_cl158]) ).
thf(zip_derived_cl145_012,plain,
rel_m @ '#sk1' @ '#sk3',
inference(demod,[status(thm)],[zip_derived_cl30,zip_derived_cl143]) ).
thf(zip_derived_cl167,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl161,zip_derived_cl145]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : SYO462^3 : 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.wa2Zokb7MK true
% 0.12/0.33 % Computer : n005.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Wed Oct 1 18:05:53 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.33 % Running portfolio for 300 s
% 0.12/0.33 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.34 % Number of cores: 8
% 0.12/0.34 % Python version: Python 3.6.8
% 0.12/0.34 % Running in HO mode
% 0.54/0.64 % Total configuration time : 828
% 0.54/0.64 % Estimated wc time : 1656
% 0.54/0.64 % Estimated cpu time (8 cpus) : 207.0
% 0.54/0.71 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.54/0.72 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.54/0.72 % /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
% 0.56/0.74 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.56/0.74 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.56/0.75 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.56/0.77 % /export/starexec/sandbox2/solver/bin/lams/30_b.l.sh running for 90s
% 0.56/0.78 % Solved by lams/35_full_unif4.sh.
% 0.56/0.78 % done 50 iterations in 0.043s
% 0.56/0.78 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.56/0.78 % SZS output start Refutation
% See solution above
% 0.56/0.78
% 0.56/0.78
% 0.56/0.78 % Terminating...
% 0.57/0.83 % Runner terminated.
% 0.57/0.84 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------