%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SYO048^1 : TPTP v9.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.u3WEFBHFza true
% Computer : n007.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 05:06:18 PM UTC 2025
% Result : Theorem 0.57s 0.80s
% Output : Refutation 0.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 22
% Syntax : Number of formulae : 105 ( 37 unt; 0 typ; 0 def)
% Number of atoms : 813 ( 24 equ; 296 cnn)
% Maximal formula atoms : 40 ( 7 avg)
% Number of connectives : 1864 ( 435 ~; 314 |; 0 &;1008 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 23 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 72 ( 72 >; 0 *; 0 +; 0 <<)
% Number of symbols : 21 ( 16 usr; 9 con; 0-3 aty)
% ( 107 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 213 ( 160 ^; 53 !; 0 ?; 213 :)
% Comments :
%------------------------------------------------------------------------------
thf(mbox_type,type,
mbox: ( $i > $i > $o ) > ( $i > $o ) > $i > $o ).
thf(mand_type,type,
mand: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf('#sk2_type',type,
'#sk2': $i ).
thf(mnot_type,type,
mnot: ( $i > $o ) > $i > $o ).
thf(mimplies_type,type,
mimplies: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf('#sk8_type',type,
'#sk8': $i ).
thf('#sk1_type',type,
'#sk1': $i > $i > $o ).
thf('#form7_type',type,
'#form7': $o ).
thf('#sk5_type',type,
'#sk5': $i ).
thf('#sk6_type',type,
'#sk6': $i ).
thf('#sk4_type',type,
'#sk4': $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('#sk3_type',type,
'#sk3': $i > $o ).
thf(mforall_prop_type,type,
mforall_prop: ( ( $i > $o ) > $i > $o ) > $i > $o ).
thf(mvalid_type,type,
mvalid: ( $i > $o ) > $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(mbox,axiom,
( mbox
= ( ^ [R: $i > $i > $o,Phi: $i > $o,W: $i] :
! [V: $i] :
( ( Phi @ V )
| ~ ( R @ W @ V ) ) ) ) ).
thf('2',plain,
( mbox
= ( ^ [R: $i > $i > $o,Phi: $i > $o,W: $i] :
! [V: $i] :
( ( Phi @ V )
| ~ ( R @ W @ V ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[mbox]) ).
thf('3',plain,
( mbox
= ( ^ [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(mforall_prop,axiom,
( mforall_prop
= ( ^ [Phi: ( $i > $o ) > $i > $o,W: $i] :
! [P: $i > $o] : ( Phi @ P @ W ) ) ) ).
thf('4',plain,
( mforall_prop
= ( ^ [Phi: ( $i > $o ) > $i > $o,W: $i] :
! [P: $i > $o] : ( Phi @ P @ W ) ) ),
inference(simplify_rw_rule,[status(thm)],[mforall_prop]) ).
thf('5',plain,
( mforall_prop
= ( ^ [V_1: ( $i > $o ) > $i > $o,V_2: $i] :
! [X4: $i > $o] : ( V_1 @ X4 @ V_2 ) ) ),
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('6',plain,
( mor
= ( ^ [Phi: $i > $o,Psi: $i > $o,W: $i] :
( ( Phi @ W )
| ( Psi @ W ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[mor]) ).
thf('7',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('8',plain,
( mnot
= ( ^ [Phi: $i > $o,W: $i] :
~ ( Phi @ W ) ) ),
inference(simplify_rw_rule,[status(thm)],[mnot]) ).
thf('9',plain,
( mnot
= ( ^ [V_1: $i > $o,V_2: $i] :
~ ( V_1 @ V_2 ) ) ),
define([status(thm)]) ).
thf('10',plain,
( mimplies
= ( ^ [Phi: $i > $o,Psi: $i > $o] : ( mor @ ( mnot @ Phi ) @ Psi ) ) ),
inference(simplify_rw_rule,[status(thm)],[mimplies,'7','9']) ).
thf('11',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('12',plain,
( mand
= ( ^ [Phi: $i > $o,Psi: $i > $o] : ( mnot @ ( mor @ ( mnot @ Phi ) @ ( mnot @ Psi ) ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[mand,'7','9']) ).
thf('13',plain,
( mand
= ( ^ [V_1: $i > $o,V_2: $i > $o] : ( mnot @ ( mor @ ( mnot @ V_1 ) @ ( mnot @ V_2 ) ) ) ) ),
define([status(thm)]) ).
thf('14',plain,
( mequiv
= ( ^ [Phi: $i > $o,Psi: $i > $o] : ( mand @ ( mimplies @ Phi @ Psi ) @ ( mimplies @ Psi @ Phi ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[mequiv,'11','13','7','9']) ).
thf('15',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(conj,conjecture,
! [R: $i > $i > $o] :
( mvalid
@ ( mforall_prop
@ ^ [A: $i > $o] :
( mforall_prop
@ ^ [B: $i > $o] : ( mequiv @ ( mbox @ R @ ( mand @ A @ B ) ) @ ( mand @ ( mbox @ R @ A ) @ ( mbox @ R @ B ) ) ) ) ) ) ).
thf(zf_stmt_0,conjecture,
! [X4: $i > $i > $o,X6: $i,X8: $i > $o,X10: $i > $o] :
~ ( ~ ( ! [X22: $i] :
( ~ ( X4 @ X6 @ X22 )
| ~ ( ~ ( X10 @ X22 )
| ~ ( X8 @ X22 ) ) )
| ~ ! [X18: $i] :
( ~ ( X4 @ X6 @ X18 )
| ( X8 @ X18 ) )
| ~ ! [X20: $i] :
( ~ ( X4 @ X6 @ X20 )
| ( X10 @ X20 ) ) )
| ~ ( ~ ( ~ ! [X16: $i] :
( ~ ( X4 @ X6 @ X16 )
| ( X10 @ X16 ) )
| ~ ! [X14: $i] :
( ~ ( X4 @ X6 @ X14 )
| ( X8 @ X14 ) ) )
| ~ ! [X12: $i] :
( ~ ( X4 @ X6 @ X12 )
| ~ ( ~ ( X10 @ X12 )
| ~ ( X8 @ X12 ) ) ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ! [X4: $i > $i > $o,X6: $i,X8: $i > $o,X10: $i > $o] :
~ ( ~ ( ! [X22: $i] :
( ~ ( X4 @ X6 @ X22 )
| ~ ( ~ ( X10 @ X22 )
| ~ ( X8 @ X22 ) ) )
| ~ ! [X18: $i] :
( ~ ( X4 @ X6 @ X18 )
| ( X8 @ X18 ) )
| ~ ! [X20: $i] :
( ~ ( X4 @ X6 @ X20 )
| ( X10 @ X20 ) ) )
| ~ ( ~ ( ~ ! [X16: $i] :
( ~ ( X4 @ X6 @ X16 )
| ( X10 @ X16 ) )
| ~ ! [X14: $i] :
( ~ ( X4 @ X6 @ X14 )
| ( X8 @ X14 ) ) )
| ~ ! [X12: $i] :
( ~ ( X4 @ X6 @ X12 )
| ~ ( ~ ( X10 @ X12 )
| ~ ( X8 @ X12 ) ) ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl0,plain,
~ ( !!
@ ^ [Y0: $i > $i > $o] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i > $o] :
( !!
@ ^ [Y3: $i > $o] :
( (~)
@ ( ( (~)
@ ( ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( Y0 @ Y1 @ Y4 ) )
| ( (~)
@ ( ( (~) @ ( Y3 @ Y4 ) )
| ( (~) @ ( Y2 @ Y4 ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( Y0 @ Y1 @ Y4 ) )
| ( Y2 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( Y0 @ Y1 @ Y4 ) )
| ( Y3 @ Y4 ) ) ) ) ) )
| ( (~)
@ ( ( (~)
@ ( ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( Y0 @ Y1 @ Y4 ) )
| ( Y3 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( Y0 @ Y1 @ Y4 ) )
| ( Y2 @ Y4 ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( Y0 @ Y1 @ Y4 ) )
| ( (~)
@ ( ( (~) @ ( Y3 @ Y4 ) )
| ( (~) @ ( Y2 @ Y4 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl1,plain,
~ ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i > $o] :
( !!
@ ^ [Y2: $i > $o] :
( (~)
@ ( ( (~)
@ ( ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( '#sk1' @ Y0 @ Y3 ) )
| ( (~)
@ ( ( (~) @ ( Y2 @ Y3 ) )
| ( (~) @ ( Y1 @ Y3 ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( '#sk1' @ Y0 @ Y3 ) )
| ( Y1 @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( '#sk1' @ Y0 @ Y3 ) )
| ( Y2 @ Y3 ) ) ) ) ) )
| ( (~)
@ ( ( (~)
@ ( ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( '#sk1' @ Y0 @ Y3 ) )
| ( Y2 @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( '#sk1' @ Y0 @ Y3 ) )
| ( Y1 @ Y3 ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( '#sk1' @ Y0 @ Y3 ) )
| ( (~)
@ ( ( (~) @ ( Y2 @ Y3 ) )
| ( (~) @ ( Y1 @ Y3 ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl2,plain,
~ ( !!
@ ^ [Y0: $i > $o] :
( !!
@ ^ [Y1: $i > $o] :
( (~)
@ ( ( (~)
@ ( ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( '#sk1' @ '#sk2' @ Y2 ) )
| ( (~)
@ ( ( (~) @ ( Y1 @ Y2 ) )
| ( (~) @ ( Y0 @ Y2 ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( '#sk1' @ '#sk2' @ Y2 ) )
| ( Y0 @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( '#sk1' @ '#sk2' @ Y2 ) )
| ( Y1 @ Y2 ) ) ) ) ) )
| ( (~)
@ ( ( (~)
@ ( ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( '#sk1' @ '#sk2' @ Y2 ) )
| ( Y1 @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( '#sk1' @ '#sk2' @ Y2 ) )
| ( Y0 @ Y2 ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( '#sk1' @ '#sk2' @ Y2 ) )
| ( (~)
@ ( ( (~) @ ( Y1 @ Y2 ) )
| ( (~) @ ( Y0 @ Y2 ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl3,plain,
~ ( !!
@ ^ [Y0: $i > $o] :
( (~)
@ ( ( (~)
@ ( ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( '#sk1' @ '#sk2' @ Y1 ) )
| ( (~)
@ ( ( (~) @ ( Y0 @ Y1 ) )
| ( (~) @ ( '#sk3' @ Y1 ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( '#sk1' @ '#sk2' @ Y1 ) )
| ( '#sk3' @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( '#sk1' @ '#sk2' @ Y1 ) )
| ( Y0 @ Y1 ) ) ) ) ) )
| ( (~)
@ ( ( (~)
@ ( ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( '#sk1' @ '#sk2' @ Y1 ) )
| ( Y0 @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( '#sk1' @ '#sk2' @ Y1 ) )
| ( '#sk3' @ Y1 ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( '#sk1' @ '#sk2' @ Y1 ) )
| ( (~)
@ ( ( (~) @ ( Y0 @ Y1 ) )
| ( (~) @ ( '#sk3' @ Y1 ) ) ) ) ) ) ) ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl4,plain,
( ( (~)
@ ( ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( '#sk1' @ '#sk2' @ Y0 ) )
| ( (~)
@ ( ( (~) @ ( '#sk4' @ Y0 ) )
| ( (~) @ ( '#sk3' @ Y0 ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( '#sk1' @ '#sk2' @ Y0 ) )
| ( '#sk3' @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( '#sk1' @ '#sk2' @ Y0 ) )
| ( '#sk4' @ Y0 ) ) ) ) ) )
| ( (~)
@ ( ( (~)
@ ( ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( '#sk1' @ '#sk2' @ Y0 ) )
| ( '#sk4' @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( '#sk1' @ '#sk2' @ Y0 ) )
| ( '#sk3' @ Y0 ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( '#sk1' @ '#sk2' @ Y0 ) )
| ( (~)
@ ( ( (~) @ ( '#sk4' @ Y0 ) )
| ( (~) @ ( '#sk3' @ Y0 ) ) ) ) ) ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl3]) ).
thf(zip_derived_cl5,plain,
( ~ ( ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( '#sk1' @ '#sk2' @ Y0 ) )
| ( (~)
@ ( ( (~) @ ( '#sk4' @ Y0 ) )
| ( (~) @ ( '#sk3' @ Y0 ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( '#sk1' @ '#sk2' @ Y0 ) )
| ( '#sk3' @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( '#sk1' @ '#sk2' @ Y0 ) )
| ( '#sk4' @ Y0 ) ) ) ) )
| ~ ( ( (~)
@ ( ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( '#sk1' @ '#sk2' @ Y0 ) )
| ( '#sk4' @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( '#sk1' @ '#sk2' @ Y0 ) )
| ( '#sk3' @ Y0 ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( '#sk1' @ '#sk2' @ Y0 ) )
| ( (~)
@ ( ( (~) @ ( '#sk4' @ Y0 ) )
| ( (~) @ ( '#sk3' @ Y0 ) ) ) ) ) ) ) ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl6,plain,
( ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( '#sk1' @ '#sk2' @ Y0 ) )
| ( (~)
@ ( ( (~) @ ( '#sk4' @ Y0 ) )
| ( (~) @ ( '#sk3' @ Y0 ) ) ) ) ) )
| ~ ( ( (~)
@ ( ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( '#sk1' @ '#sk2' @ Y0 ) )
| ( '#sk4' @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( '#sk1' @ '#sk2' @ Y0 ) )
| ( '#sk3' @ Y0 ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( '#sk1' @ '#sk2' @ Y0 ) )
| ( (~)
@ ( ( (~) @ ( '#sk4' @ Y0 ) )
| ( (~) @ ( '#sk3' @ Y0 ) ) ) ) ) ) ) ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl9,plain,
( ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( '#sk1' @ '#sk2' @ Y0 ) )
| ( (~)
@ ( ( (~) @ ( '#sk4' @ Y0 ) )
| ( (~) @ ( '#sk3' @ Y0 ) ) ) ) ) )
| ~ ( ( (~)
@ ( ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( '#sk1' @ '#sk2' @ Y0 ) )
| ( '#sk4' @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( '#sk1' @ '#sk2' @ Y0 ) )
| ( '#sk3' @ Y0 ) ) ) ) ) )
| ( (~) @ $true ) ) ),
inference(local_rewriting,[status(thm)],[zip_derived_cl6]) ).
thf(zip_derived_cl10,plain,
( ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( '#sk1' @ '#sk2' @ Y0 ) )
| ( (~)
@ ( ( (~) @ ( '#sk4' @ Y0 ) )
| ( (~) @ ( '#sk3' @ Y0 ) ) ) ) ) )
| ~ ( (~)
@ ( ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( '#sk1' @ '#sk2' @ Y0 ) )
| ( '#sk4' @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( '#sk1' @ '#sk2' @ Y0 ) )
| ( '#sk3' @ Y0 ) ) ) ) ) ) ),
inference('simplify boolean subterms',[status(thm)],[zip_derived_cl9]) ).
thf(zip_derived_cl11,plain,
( ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( '#sk1' @ '#sk2' @ Y0 ) )
| ( (~)
@ ( ( (~) @ ( '#sk4' @ Y0 ) )
| ( (~) @ ( '#sk3' @ Y0 ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( '#sk1' @ '#sk2' @ Y0 ) )
| ( '#sk4' @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( '#sk1' @ '#sk2' @ Y0 ) )
| ( '#sk3' @ Y0 ) ) ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl10]) ).
thf(zip_derived_cl12,plain,
( ~ ( ( (~) @ ( '#sk1' @ '#sk2' @ '#sk5' ) )
| ( (~)
@ ( ( (~) @ ( '#sk4' @ '#sk5' ) )
| ( (~) @ ( '#sk3' @ '#sk5' ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( '#sk1' @ '#sk2' @ Y0 ) )
| ( '#sk4' @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( '#sk1' @ '#sk2' @ Y0 ) )
| ( '#sk3' @ Y0 ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl11]) ).
thf(zip_derived_cl22,plain,
( ( (~) @ ( '#sk4' @ '#sk5' ) )
| ( (~) @ ( '#sk3' @ '#sk5' ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( '#sk1' @ '#sk2' @ Y0 ) )
| ( '#sk4' @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( '#sk1' @ '#sk2' @ Y0 ) )
| ( '#sk3' @ Y0 ) ) ) ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl12]) ).
thf(zip_derived_cl26,plain,
( ~ ( '#sk4' @ '#sk5' )
| ~ ( '#sk3' @ '#sk5' )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( '#sk1' @ '#sk2' @ Y0 ) )
| ( '#sk4' @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( '#sk1' @ '#sk2' @ Y0 ) )
| ( '#sk3' @ Y0 ) ) ) ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl22]) ).
thf(zip_derived_cl30,plain,
( ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( '#sk1' @ '#sk2' @ Y0 ) )
| ( '#sk4' @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( '#sk1' @ '#sk2' @ Y0 ) )
| ( '#sk3' @ Y0 ) ) )
| ~ ( '#sk3' @ '#sk5' )
| ~ ( '#sk4' @ '#sk5' ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl26]) ).
thf(zip_derived_cl30_001,plain,
( ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( '#sk1' @ '#sk2' @ Y0 ) )
| ( '#sk4' @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( '#sk1' @ '#sk2' @ Y0 ) )
| ( '#sk3' @ Y0 ) ) )
| ~ ( '#sk3' @ '#sk5' )
| ~ ( '#sk4' @ '#sk5' ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl26]) ).
thf(zip_derived_cl35,plain,
( '#form7'
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( '#sk1' @ '#sk2' @ Y0 ) )
| ( '#sk3' @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl37,plain,
( ~ '#form7'
| ~ ( '#sk4' @ '#sk5' )
| ~ ( '#sk3' @ '#sk5' )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( '#sk1' @ '#sk2' @ Y0 ) )
| ( '#sk4' @ Y0 ) ) ) ),
inference(renaming,[status(thm)],[zip_derived_cl30,zip_derived_cl35]) ).
thf(zip_derived_cl44,plain,
( ~ ( ( (~) @ ( '#sk1' @ '#sk2' @ '#sk6' ) )
| ( '#sk4' @ '#sk6' ) )
| ~ ( '#sk3' @ '#sk5' )
| ~ ( '#sk4' @ '#sk5' )
| ~ '#form7' ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl37]) ).
thf(zip_derived_cl48,plain,
( ~ ( '#sk4' @ '#sk6' )
| ~ '#form7'
| ~ ( '#sk4' @ '#sk5' )
| ~ ( '#sk3' @ '#sk5' ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl44]) ).
thf(zip_derived_cl7,plain,
( ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( '#sk1' @ '#sk2' @ Y0 ) )
| ( '#sk3' @ Y0 ) ) )
| ~ ( ( (~)
@ ( ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( '#sk1' @ '#sk2' @ Y0 ) )
| ( '#sk4' @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( '#sk1' @ '#sk2' @ Y0 ) )
| ( '#sk3' @ Y0 ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( '#sk1' @ '#sk2' @ Y0 ) )
| ( (~)
@ ( ( (~) @ ( '#sk4' @ Y0 ) )
| ( (~) @ ( '#sk3' @ Y0 ) ) ) ) ) ) ) ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl13,plain,
( ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( '#sk1' @ '#sk2' @ Y0 ) )
| ( '#sk3' @ Y0 ) ) )
| ~ ( ( (~)
@ ( ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( '#sk1' @ '#sk2' @ Y0 ) )
| ( '#sk4' @ Y0 ) ) ) )
| ( (~) @ $false ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( '#sk1' @ '#sk2' @ Y0 ) )
| ( (~)
@ ( ( (~) @ ( '#sk4' @ Y0 ) )
| ( (~) @ ( '#sk3' @ Y0 ) ) ) ) ) ) ) ) ),
inference(local_rewriting,[status(thm)],[zip_derived_cl7]) ).
thf(zip_derived_cl14,plain,
( ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( '#sk1' @ '#sk2' @ Y0 ) )
| ( '#sk3' @ Y0 ) ) )
| ~ ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( '#sk1' @ '#sk2' @ Y0 ) )
| ( (~)
@ ( ( (~) @ ( '#sk4' @ Y0 ) )
| ( (~) @ ( '#sk3' @ Y0 ) ) ) ) ) ) ) ),
inference('simplify boolean subterms',[status(thm)],[zip_derived_cl13]) ).
thf(zip_derived_cl15,plain,
( ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( '#sk1' @ '#sk2' @ Y0 ) )
| ( '#sk3' @ Y0 ) ) )
| ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( '#sk1' @ '#sk2' @ Y0 ) )
| ( (~)
@ ( ( (~) @ ( '#sk4' @ Y0 ) )
| ( (~) @ ( '#sk3' @ Y0 ) ) ) ) ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl14]) ).
thf(zip_derived_cl16,plain,
! [X2: $i] :
( ( (~) @ ( '#sk1' @ '#sk2' @ X2 ) )
| ( '#sk3' @ X2 )
| ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( '#sk1' @ '#sk2' @ Y0 ) )
| ( (~)
@ ( ( (~) @ ( '#sk4' @ Y0 ) )
| ( (~) @ ( '#sk3' @ Y0 ) ) ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl15]) ).
thf(zip_derived_cl23,plain,
! [X2: $i] :
( ~ ( '#sk1' @ '#sk2' @ X2 )
| ( '#sk3' @ X2 )
| ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( '#sk1' @ '#sk2' @ Y0 ) )
| ( (~)
@ ( ( (~) @ ( '#sk4' @ Y0 ) )
| ( (~) @ ( '#sk3' @ Y0 ) ) ) ) ) ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl16]) ).
thf(zip_derived_cl27,plain,
! [X2: $i,X4: $i] :
( ( (~) @ ( '#sk1' @ '#sk2' @ X4 ) )
| ( (~)
@ ( ( (~) @ ( '#sk4' @ X4 ) )
| ( (~) @ ( '#sk3' @ X4 ) ) ) )
| ( '#sk3' @ X2 )
| ~ ( '#sk1' @ '#sk2' @ X2 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl23]) ).
thf(zip_derived_cl31,plain,
! [X2: $i,X4: $i] :
( ~ ( '#sk1' @ '#sk2' @ X4 )
| ~ ( ( (~) @ ( '#sk4' @ X4 ) )
| ( (~) @ ( '#sk3' @ X4 ) ) )
| ~ ( '#sk1' @ '#sk2' @ X2 )
| ( '#sk3' @ X2 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl27]) ).
thf(zip_derived_cl39,plain,
! [X2: $i,X4: $i] :
( ( '#sk3' @ X4 )
| ( '#sk3' @ X2 )
| ~ ( '#sk1' @ '#sk2' @ X2 )
| ~ ( '#sk1' @ '#sk2' @ X4 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl31]) ).
thf(zip_derived_cl88,plain,
! [X0: $i] :
( ~ ( '#sk1' @ '#sk2' @ X0 )
| ( '#sk3' @ X0 )
| ( '#sk3' @ X0 ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl39]) ).
thf(zip_derived_cl89,plain,
! [X0: $i] :
( ( '#sk3' @ X0 )
| ~ ( '#sk1' @ '#sk2' @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl88]) ).
thf(zip_derived_cl35_002,plain,
( '#form7'
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( '#sk1' @ '#sk2' @ Y0 ) )
| ( '#sk3' @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl36,plain,
( ~ ( ( (~) @ ( '#sk1' @ '#sk2' @ '#sk8' ) )
| ( '#sk3' @ '#sk8' ) )
| '#form7' ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl35]) ).
thf(zip_derived_cl45,plain,
( ( '#sk1' @ '#sk2' @ '#sk8' )
| '#form7' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl36]) ).
thf(zip_derived_cl97,plain,
( ( '#sk3' @ '#sk8' )
| '#form7' ),
inference('sup+',[status(thm)],[zip_derived_cl89,zip_derived_cl45]) ).
thf(zip_derived_cl46,plain,
( ~ ( '#sk3' @ '#sk8' )
| '#form7' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl36]) ).
thf(zip_derived_cl117,plain,
'#form7',
inference(clc,[status(thm)],[zip_derived_cl97,zip_derived_cl46]) ).
thf(zip_derived_cl121,plain,
( ~ ( '#sk4' @ '#sk6' )
| ~ ( '#sk4' @ '#sk5' )
| ~ ( '#sk3' @ '#sk5' ) ),
inference(demod,[status(thm)],[zip_derived_cl48,zip_derived_cl117]) ).
thf(zip_derived_cl8,plain,
( ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( '#sk1' @ '#sk2' @ Y0 ) )
| ( '#sk4' @ Y0 ) ) )
| ~ ( ( (~)
@ ( ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( '#sk1' @ '#sk2' @ Y0 ) )
| ( '#sk4' @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( '#sk1' @ '#sk2' @ Y0 ) )
| ( '#sk3' @ Y0 ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( '#sk1' @ '#sk2' @ Y0 ) )
| ( (~)
@ ( ( (~) @ ( '#sk4' @ Y0 ) )
| ( (~) @ ( '#sk3' @ Y0 ) ) ) ) ) ) ) ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl17,plain,
( ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( '#sk1' @ '#sk2' @ Y0 ) )
| ( '#sk4' @ Y0 ) ) )
| ~ ( ( (~)
@ ( ( (~) @ $false )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( '#sk1' @ '#sk2' @ Y0 ) )
| ( '#sk3' @ Y0 ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( '#sk1' @ '#sk2' @ Y0 ) )
| ( (~)
@ ( ( (~) @ ( '#sk4' @ Y0 ) )
| ( (~) @ ( '#sk3' @ Y0 ) ) ) ) ) ) ) ) ),
inference(local_rewriting,[status(thm)],[zip_derived_cl8]) ).
thf(zip_derived_cl18,plain,
( ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( '#sk1' @ '#sk2' @ Y0 ) )
| ( '#sk4' @ Y0 ) ) )
| ~ ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( '#sk1' @ '#sk2' @ Y0 ) )
| ( (~)
@ ( ( (~) @ ( '#sk4' @ Y0 ) )
| ( (~) @ ( '#sk3' @ Y0 ) ) ) ) ) ) ) ),
inference('simplify boolean subterms',[status(thm)],[zip_derived_cl17]) ).
thf(zip_derived_cl19,plain,
( ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( '#sk1' @ '#sk2' @ Y0 ) )
| ( '#sk4' @ Y0 ) ) )
| ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( '#sk1' @ '#sk2' @ Y0 ) )
| ( (~)
@ ( ( (~) @ ( '#sk4' @ Y0 ) )
| ( (~) @ ( '#sk3' @ Y0 ) ) ) ) ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl18]) ).
thf(zip_derived_cl20,plain,
! [X2: $i] :
( ( (~) @ ( '#sk1' @ '#sk2' @ X2 ) )
| ( '#sk4' @ X2 )
| ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( '#sk1' @ '#sk2' @ Y0 ) )
| ( (~)
@ ( ( (~) @ ( '#sk4' @ Y0 ) )
| ( (~) @ ( '#sk3' @ Y0 ) ) ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl19]) ).
thf(zip_derived_cl24,plain,
! [X2: $i] :
( ~ ( '#sk1' @ '#sk2' @ X2 )
| ( '#sk4' @ X2 )
| ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( '#sk1' @ '#sk2' @ Y0 ) )
| ( (~)
@ ( ( (~) @ ( '#sk4' @ Y0 ) )
| ( (~) @ ( '#sk3' @ Y0 ) ) ) ) ) ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl20]) ).
thf(zip_derived_cl28,plain,
! [X2: $i,X4: $i] :
( ( (~) @ ( '#sk1' @ '#sk2' @ X4 ) )
| ( (~)
@ ( ( (~) @ ( '#sk4' @ X4 ) )
| ( (~) @ ( '#sk3' @ X4 ) ) ) )
| ( '#sk4' @ X2 )
| ~ ( '#sk1' @ '#sk2' @ X2 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl24]) ).
thf(zip_derived_cl32,plain,
! [X2: $i,X4: $i] :
( ~ ( '#sk1' @ '#sk2' @ X4 )
| ~ ( ( (~) @ ( '#sk4' @ X4 ) )
| ( (~) @ ( '#sk3' @ X4 ) ) )
| ~ ( '#sk1' @ '#sk2' @ X2 )
| ( '#sk4' @ X2 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl28]) ).
thf(zip_derived_cl40,plain,
! [X2: $i,X4: $i] :
( ( '#sk4' @ X4 )
| ( '#sk4' @ X2 )
| ~ ( '#sk1' @ '#sk2' @ X2 )
| ~ ( '#sk1' @ '#sk2' @ X4 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl32]) ).
thf(zip_derived_cl148,plain,
! [X0: $i] :
( ~ ( '#sk1' @ '#sk2' @ X0 )
| ( '#sk4' @ X0 )
| ( '#sk4' @ X0 ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl40]) ).
thf(zip_derived_cl149,plain,
! [X0: $i] :
( ( '#sk4' @ X0 )
| ~ ( '#sk1' @ '#sk2' @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl148]) ).
thf(zip_derived_cl21,plain,
( ( '#sk1' @ '#sk2' @ '#sk5' )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( '#sk1' @ '#sk2' @ Y0 ) )
| ( '#sk4' @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( '#sk1' @ '#sk2' @ Y0 ) )
| ( '#sk3' @ Y0 ) ) ) ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl12]) ).
thf(zip_derived_cl25,plain,
( ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( '#sk1' @ '#sk2' @ Y0 ) )
| ( '#sk4' @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( '#sk1' @ '#sk2' @ Y0 ) )
| ( '#sk3' @ Y0 ) ) )
| ( '#sk1' @ '#sk2' @ '#sk5' ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl21]) ).
thf(zip_derived_cl29,plain,
( ~ ( ( (~) @ ( '#sk1' @ '#sk2' @ '#sk6' ) )
| ( '#sk4' @ '#sk6' ) )
| ( '#sk1' @ '#sk2' @ '#sk5' )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( '#sk1' @ '#sk2' @ Y0 ) )
| ( '#sk3' @ Y0 ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl25]) ).
thf(zip_derived_cl33,plain,
( ( '#sk1' @ '#sk2' @ '#sk6' )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( '#sk1' @ '#sk2' @ Y0 ) )
| ( '#sk3' @ Y0 ) ) )
| ( '#sk1' @ '#sk2' @ '#sk5' ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl29]) ).
thf(zip_derived_cl35_003,plain,
( '#form7'
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( '#sk1' @ '#sk2' @ Y0 ) )
| ( '#sk3' @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl42,plain,
( ~ '#form7'
| ( '#sk1' @ '#sk2' @ '#sk5' )
| ( '#sk1' @ '#sk2' @ '#sk6' ) ),
inference(renaming,[status(thm)],[zip_derived_cl33,zip_derived_cl35]) ).
thf(zip_derived_cl117_004,plain,
'#form7',
inference(clc,[status(thm)],[zip_derived_cl97,zip_derived_cl46]) ).
thf(zip_derived_cl118,plain,
( ( '#sk1' @ '#sk2' @ '#sk5' )
| ( '#sk1' @ '#sk2' @ '#sk6' ) ),
inference(demod,[status(thm)],[zip_derived_cl42,zip_derived_cl117]) ).
thf(zip_derived_cl158,plain,
( ( '#sk4' @ '#sk6' )
| ( '#sk1' @ '#sk2' @ '#sk5' ) ),
inference('sup+',[status(thm)],[zip_derived_cl149,zip_derived_cl118]) ).
thf(zip_derived_cl34,plain,
( ~ ( '#sk4' @ '#sk6' )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( '#sk1' @ '#sk2' @ Y0 ) )
| ( '#sk3' @ Y0 ) ) )
| ( '#sk1' @ '#sk2' @ '#sk5' ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl29]) ).
thf(zip_derived_cl35_005,plain,
( '#form7'
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( '#sk1' @ '#sk2' @ Y0 ) )
| ( '#sk3' @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl43,plain,
( ~ '#form7'
| ( '#sk1' @ '#sk2' @ '#sk5' )
| ~ ( '#sk4' @ '#sk6' ) ),
inference(renaming,[status(thm)],[zip_derived_cl34,zip_derived_cl35]) ).
thf(zip_derived_cl117_006,plain,
'#form7',
inference(clc,[status(thm)],[zip_derived_cl97,zip_derived_cl46]) ).
thf(zip_derived_cl119,plain,
( ( '#sk1' @ '#sk2' @ '#sk5' )
| ~ ( '#sk4' @ '#sk6' ) ),
inference(demod,[status(thm)],[zip_derived_cl43,zip_derived_cl117]) ).
thf(zip_derived_cl180,plain,
'#sk1' @ '#sk2' @ '#sk5',
inference(clc,[status(thm)],[zip_derived_cl158,zip_derived_cl119]) ).
thf(zip_derived_cl149_007,plain,
! [X0: $i] :
( ( '#sk4' @ X0 )
| ~ ( '#sk1' @ '#sk2' @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl148]) ).
thf(zip_derived_cl181,plain,
'#sk4' @ '#sk5',
inference('sup-',[status(thm)],[zip_derived_cl180,zip_derived_cl149]) ).
thf(zip_derived_cl189,plain,
( ~ ( '#sk4' @ '#sk6' )
| ~ ( '#sk3' @ '#sk5' ) ),
inference(demod,[status(thm)],[zip_derived_cl121,zip_derived_cl181]) ).
thf(zip_derived_cl47,plain,
( ( '#sk1' @ '#sk2' @ '#sk6' )
| ~ '#form7'
| ~ ( '#sk4' @ '#sk5' )
| ~ ( '#sk3' @ '#sk5' ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl44]) ).
thf(zip_derived_cl117_008,plain,
'#form7',
inference(clc,[status(thm)],[zip_derived_cl97,zip_derived_cl46]) ).
thf(zip_derived_cl120,plain,
( ( '#sk1' @ '#sk2' @ '#sk6' )
| ~ ( '#sk4' @ '#sk5' )
| ~ ( '#sk3' @ '#sk5' ) ),
inference(demod,[status(thm)],[zip_derived_cl47,zip_derived_cl117]) ).
thf(zip_derived_cl181_009,plain,
'#sk4' @ '#sk5',
inference('sup-',[status(thm)],[zip_derived_cl180,zip_derived_cl149]) ).
thf(zip_derived_cl180_010,plain,
'#sk1' @ '#sk2' @ '#sk5',
inference(clc,[status(thm)],[zip_derived_cl158,zip_derived_cl119]) ).
thf(zip_derived_cl89_011,plain,
! [X0: $i] :
( ( '#sk3' @ X0 )
| ~ ( '#sk1' @ '#sk2' @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl88]) ).
thf(zip_derived_cl182,plain,
'#sk3' @ '#sk5',
inference('sup-',[status(thm)],[zip_derived_cl180,zip_derived_cl89]) ).
thf(zip_derived_cl190,plain,
'#sk1' @ '#sk2' @ '#sk6',
inference(demod,[status(thm)],[zip_derived_cl120,zip_derived_cl181,zip_derived_cl182]) ).
thf(zip_derived_cl149_012,plain,
! [X0: $i] :
( ( '#sk4' @ X0 )
| ~ ( '#sk1' @ '#sk2' @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl148]) ).
thf(zip_derived_cl191,plain,
'#sk4' @ '#sk6',
inference('sup-',[status(thm)],[zip_derived_cl190,zip_derived_cl149]) ).
thf(zip_derived_cl182_013,plain,
'#sk3' @ '#sk5',
inference('sup-',[status(thm)],[zip_derived_cl180,zip_derived_cl89]) ).
thf(zip_derived_cl199,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl189,zip_derived_cl191,zip_derived_cl182]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SYO048^1 : TPTP v9.2.0. Released v4.0.0.
% 0.07/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.u3WEFBHFza true
% 0.14/0.35 % Computer : n007.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Wed Oct 1 18:01:23 EDT 2025
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.36 % Number of cores: 8
% 0.14/0.36 % Python version: Python 3.6.8
% 0.14/0.36 % Running in HO mode
% 0.53/0.63 % Total configuration time : 828
% 0.53/0.63 % Estimated wc time : 1656
% 0.53/0.63 % Estimated cpu time (8 cpus) : 207.0
% 0.55/0.70 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.55/0.70 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.55/0.71 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.55/0.72 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.55/0.73 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.57/0.74 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.57/0.77 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.57/0.79 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 0.57/0.80 % /export/starexec/sandbox/solver/bin/lams/30_b.l.sh running for 90s
% 0.57/0.80 % Solved by lams/35_full_unif4.sh.
% 0.57/0.80 % done 62 iterations in 0.060s
% 0.57/0.80 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.57/0.80 % SZS output start Refutation
% See solution above
% 0.57/0.80
% 0.57/0.80
% 0.57/0.80 % Terminating...
% 0.57/0.85 % Runner terminated.
% 1.82/0.86 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------