TSTP Solution File: SEU868^5 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU868^5 : TPTP v8.1.2. Released v4.0.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.HvlTk1O6xi true
% Computer : n002.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 Aug 31 19:18:40 EDT 2023
% Result : Theorem 47.83s 6.86s
% Output : Refutation 47.83s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 19
% Syntax : Number of formulae : 66 ( 14 unt; 10 typ; 0 def)
% Number of atoms : 288 ( 42 equ; 7 cnn)
% Maximal formula atoms : 16 ( 5 avg)
% Number of connectives : 640 ( 48 ~; 73 |; 29 &; 353 @)
% ( 14 <=>; 52 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 9 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 134 ( 134 >; 0 *; 0 +; 0 <<)
% Number of symbols : 14 ( 9 usr; 4 con; 0-3 aty)
% ( 64 !!; 7 ??; 0 @@+; 0 @@-)
% Number of variables : 196 ( 128 ^; 66 !; 2 ?; 196 :)
% Comments :
%------------------------------------------------------------------------------
thf(a_type,type,
a: $tType ).
thf('#sk15_type',type,
'#sk15': ( ( a > $o ) > $o ) > a ).
thf('#sk27_type',type,
'#sk27': ( a > $o ) > a ).
thf('#sk1_type',type,
'#sk1': ( a > $o ) > $o ).
thf('#l_lift15248_type',type,
'#l_lift15248': $o > a > $o ).
thf('#sk146_type',type,
'#sk146': ( ( a > $o ) > $o ) > a > ( a > $o ) > a ).
thf('#l_lift15247_type',type,
'#l_lift15247': ( ( a > $o ) > $o ) > a > $o ).
thf(cC_type,type,
cC: a > $o ).
thf('#l_lift15246_type',type,
'#l_lift15246': a > $o ).
thf('#sk11_type',type,
'#sk11': ( ( a > $o ) > $o ) > a > $o ).
thf(cTHM551_pme,conjecture,
( ! [Xw: ( a > $o ) > $o] :
( ( ! [Xr: a > $o,Xx: a] :
( ( Xw @ Xr )
=> ( Xw
@ ^ [Xt: a] :
( ( Xt = Xx )
| ( Xr @ Xt ) ) ) )
& ( Xw
@ ^ [Xx: a] : $false ) )
=> ( Xw @ cC ) )
=> ! [P: ( a > $o ) > $o] :
( ( ! [Y: a > $o,Xx: a,Z: a > $o] :
( ( ! [Xx_16: a] :
( ( Z @ Xx_16 )
<=> ( ( Xx_16 = Xx )
| ( Y @ Xx_16 ) ) )
& ( P @ Y ) )
=> ( P @ Z ) )
& ! [E: a > $o] :
( ~ ? [Xt: a] : ( E @ Xt )
=> ( P @ E ) ) )
=> ( P @ cC ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ( ! [Xw: ( a > $o ) > $o] :
( ( ! [Xr: a > $o,Xx: a] :
( ( Xw @ Xr )
=> ( Xw
@ ^ [Xt: a] :
( ( Xt = Xx )
| ( Xr @ Xt ) ) ) )
& ( Xw
@ ^ [Xx: a] : $false ) )
=> ( Xw @ cC ) )
=> ! [P: ( a > $o ) > $o] :
( ( ! [Y: a > $o,Xx: a,Z: a > $o] :
( ( ! [Xx_16: a] :
( ( Z @ Xx_16 )
<=> ( ( Xx_16 = Xx )
| ( Y @ Xx_16 ) ) )
& ( P @ Y ) )
=> ( P @ Z ) )
& ! [E: a > $o] :
( ~ ? [Xt: a] : ( E @ Xt )
=> ( P @ E ) ) )
=> ( P @ cC ) ) ),
inference('cnf.neg',[status(esa)],[cTHM551_pme]) ).
thf(zip_derived_cl0,plain,
~ ( ( !!
@ ^ [Y0: ( a > $o ) > $o] :
( ( ( !!
@ ^ [Y1: a > $o] :
( !!
@ ^ [Y2: a] :
( ( Y0 @ Y1 )
=> ( Y0
@ ^ [Y3: a] :
( ( Y3 = Y2 )
| ( Y1 @ Y3 ) ) ) ) ) )
& ( Y0
@ ^ [Y1: a] : $false ) )
=> ( Y0 @ cC ) ) )
=> ( !!
@ ^ [Y0: ( a > $o ) > $o] :
( ( ( !!
@ ^ [Y1: a > $o] :
( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a > $o] :
( ( ( !!
@ ^ [Y4: a] :
( ( Y3 @ Y4 )
<=> ( ( Y4 = Y2 )
| ( Y1 @ Y4 ) ) ) )
& ( Y0 @ Y1 ) )
=> ( Y0 @ Y3 ) ) ) ) )
& ( !!
@ ^ [Y1: a > $o] :
( ( (~)
@ ( ??
@ ^ [Y2: a] : ( Y1 @ Y2 ) ) )
=> ( Y0 @ Y1 ) ) ) )
=> ( Y0 @ cC ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1,plain,
( !!
@ ^ [Y0: ( a > $o ) > $o] :
( ( ( !!
@ ^ [Y1: a > $o] :
( !!
@ ^ [Y2: a] :
( ( Y0 @ Y1 )
=> ( Y0
@ ^ [Y3: a] :
( ( Y3 = Y2 )
| ( Y1 @ Y3 ) ) ) ) ) )
& ( Y0
@ ^ [Y1: a] : $false ) )
=> ( Y0 @ cC ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl3,plain,
! [X2: ( a > $o ) > $o] :
( ( ( !!
@ ^ [Y0: a > $o] :
( !!
@ ^ [Y1: a] :
( ( X2 @ Y0 )
=> ( X2
@ ^ [Y2: a] :
( ( Y2 = Y1 )
| ( Y0 @ Y2 ) ) ) ) ) )
& ( X2
@ ^ [Y0: a] : $false ) )
=> ( X2 @ cC ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl4,plain,
( ( ( !!
@ ^ [Y0: a > $o] :
( !!
@ ^ [Y1: a] :
( ( '#sk1' @ Y0 )
=> ( '#sk1'
@ ^ [Y2: a] :
( ( Y2 = Y1 )
| ( Y0 @ Y2 ) ) ) ) ) )
& ( '#sk1'
@ ^ [Y0: a] : $false ) )
=> ( '#sk1' @ cC ) ),
inference(triggered_bool_instantiation,[status(thm)],[zip_derived_cl3]) ).
thf(zip_derived_cl2,plain,
~ ( !!
@ ^ [Y0: ( a > $o ) > $o] :
( ( ( !!
@ ^ [Y1: a > $o] :
( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a > $o] :
( ( ( !!
@ ^ [Y4: a] :
( ( Y3 @ Y4 )
<=> ( ( Y4 = Y2 )
| ( Y1 @ Y4 ) ) ) )
& ( Y0 @ Y1 ) )
=> ( Y0 @ Y3 ) ) ) ) )
& ( !!
@ ^ [Y1: a > $o] :
( ( (~)
@ ( ??
@ ^ [Y2: a] : ( Y1 @ Y2 ) ) )
=> ( Y0 @ Y1 ) ) ) )
=> ( Y0 @ cC ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl5,plain,
~ ( ( ( !!
@ ^ [Y0: a > $o] :
( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a > $o] :
( ( ( !!
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
<=> ( ( Y3 = Y1 )
| ( Y0 @ Y3 ) ) ) )
& ( '#sk1' @ Y0 ) )
=> ( '#sk1' @ Y2 ) ) ) ) )
& ( !!
@ ^ [Y0: a > $o] :
( ( (~)
@ ( ??
@ ^ [Y1: a] : ( Y0 @ Y1 ) ) )
=> ( '#sk1' @ Y0 ) ) ) )
=> ( '#sk1' @ cC ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl8,plain,
~ ( '#sk1' @ cC ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl79,plain,
( ( ( !!
@ ^ [Y0: a > $o] :
( !!
@ ^ [Y1: a] :
( ( '#sk1' @ Y0 )
=> ( '#sk1'
@ ^ [Y2: a] :
( ( Y2 = Y1 )
| ( Y0 @ Y2 ) ) ) ) ) )
& ( '#sk1'
@ ^ [Y0: a] : $false ) )
=> $false ),
inference(demod,[status(thm)],[zip_derived_cl4,zip_derived_cl8]) ).
thf(zip_derived_cl80,plain,
( (~)
@ ( ( !!
@ ^ [Y0: a > $o] :
( !!
@ ^ [Y1: a] :
( ( '#sk1' @ Y0 )
=> ( '#sk1'
@ ^ [Y2: a] :
( ( Y2 = Y1 )
| ( Y0 @ Y2 ) ) ) ) ) )
& ( '#sk1'
@ ^ [Y0: a] : $false ) ) ),
inference('simplify boolean subterms',[status(thm)],[zip_derived_cl79]) ).
thf(zip_derived_cl81,plain,
~ ( ( !!
@ ^ [Y0: a > $o] :
( !!
@ ^ [Y1: a] :
( ( '#sk1' @ Y0 )
=> ( '#sk1'
@ ^ [Y2: a] :
( ( Y2 = Y1 )
| ( Y0 @ Y2 ) ) ) ) ) )
& ( '#sk1'
@ ^ [Y0: a] : $false ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl80]) ).
thf(zip_derived_cl82,plain,
( ~ ( !!
@ ^ [Y0: a > $o] :
( !!
@ ^ [Y1: a] :
( ( '#sk1' @ Y0 )
=> ( '#sk1'
@ ^ [Y2: a] :
( ( Y2 = Y1 )
| ( Y0 @ Y2 ) ) ) ) ) )
| ~ ( '#sk1'
@ ^ [Y0: a] : $false ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl81]) ).
thf(zip_derived_cl83,plain,
( ~ ( !!
@ ^ [Y0: a] :
( ( '#sk1' @ ( '#sk11' @ '#sk1' ) )
=> ( '#sk1'
@ ^ [Y1: a] :
( ( Y1 = Y0 )
| ( '#sk11' @ '#sk1' @ Y1 ) ) ) ) )
| ~ ( '#sk1'
@ ^ [Y0: a] : $false ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl82]) ).
thf(zip_derived_cl84,plain,
( ~ ( ( '#sk1' @ ( '#sk11' @ '#sk1' ) )
=> ( '#sk1'
@ ^ [Y0: a] :
( ( Y0
= ( '#sk15' @ '#sk1' ) )
| ( '#sk11' @ '#sk1' @ Y0 ) ) ) )
| ~ ( '#sk1'
@ ^ [Y0: a] : $false ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl83]) ).
thf(zip_derived_cl86,plain,
( ~ ( '#sk1'
@ ^ [Y0: a] :
( ( Y0
= ( '#sk15' @ '#sk1' ) )
| ( '#sk11' @ '#sk1' @ Y0 ) ) )
| ~ ( '#sk1'
@ ^ [Y0: a] : $false ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl84]) ).
thf(zip_derived_cl3_001,plain,
! [X2: ( a > $o ) > $o] :
( ( ( !!
@ ^ [Y0: a > $o] :
( !!
@ ^ [Y1: a] :
( ( X2 @ Y0 )
=> ( X2
@ ^ [Y2: a] :
( ( Y2 = Y1 )
| ( Y0 @ Y2 ) ) ) ) ) )
& ( X2
@ ^ [Y0: a] : $false ) )
=> ( X2 @ cC ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl6,plain,
! [X2: ( a > $o ) > $o] :
( ~ ( ( !!
@ ^ [Y0: a > $o] :
( !!
@ ^ [Y1: a] :
( ( X2 @ Y0 )
=> ( X2
@ ^ [Y2: a] :
( ( Y2 = Y1 )
| ( Y0 @ Y2 ) ) ) ) ) )
& ( X2
@ ^ [Y0: a] : $false ) )
| ( X2 @ cC ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl3]) ).
thf(zip_derived_cl9,plain,
! [X2: ( a > $o ) > $o] :
( ~ ( !!
@ ^ [Y0: a > $o] :
( !!
@ ^ [Y1: a] :
( ( X2 @ Y0 )
=> ( X2
@ ^ [Y2: a] :
( ( Y2 = Y1 )
| ( Y0 @ Y2 ) ) ) ) ) )
| ~ ( X2
@ ^ [Y0: a] : $false )
| ( X2 @ cC ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl6]) ).
thf(zip_derived_cl12,plain,
! [X2: ( a > $o ) > $o] :
( ~ ( !!
@ ^ [Y0: a] :
( ( X2 @ ( '#sk11' @ X2 ) )
=> ( X2
@ ^ [Y1: a] :
( ( Y1 = Y0 )
| ( '#sk11' @ X2 @ Y1 ) ) ) ) )
| ( X2 @ cC )
| ~ ( X2
@ ^ [Y0: a] : $false ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl9]) ).
thf(zip_derived_cl17,plain,
! [X2: ( a > $o ) > $o] :
( ~ ( ( X2 @ ( '#sk11' @ X2 ) )
=> ( X2
@ ^ [Y0: a] :
( ( Y0
= ( '#sk15' @ X2 ) )
| ( '#sk11' @ X2 @ Y0 ) ) ) )
| ~ ( X2
@ ^ [Y0: a] : $false )
| ( X2 @ cC ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl12]) ).
thf(zip_derived_cl21,plain,
! [X2: ( a > $o ) > $o] :
( ~ ( X2
@ ^ [Y0: a] :
( ( Y0
= ( '#sk15' @ X2 ) )
| ( '#sk11' @ X2 @ Y0 ) ) )
| ( X2 @ cC )
| ~ ( X2
@ ^ [Y0: a] : $false ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl17]) ).
thf(zip_derived_cl6697,plain,
! [X2: ( a > $o ) > $o,X3: a] :
( ( '#l_lift15247' @ X2 @ X3 )
= ( ( X3
= ( '#sk15' @ X2 ) )
| ( '#sk11' @ X2 @ X3 ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl20,plain,
! [X2: ( a > $o ) > $o] :
( ( X2 @ ( '#sk11' @ X2 ) )
| ( X2 @ cC )
| ~ ( X2
@ ^ [Y0: a] : $false ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl17]) ).
thf(zip_derived_cl6695,plain,
! [X3: a] :
~ ( '#l_lift15246' @ X3 ),
define([status(thm)]) ).
thf(zip_derived_cl6700,plain,
( ~ ( '#sk1' @ ( '#l_lift15247' @ '#sk1' ) )
| ~ ( '#sk1' @ '#l_lift15246' ) ),
inference(lambda_lifting,[status(thm)],[zip_derived_cl86,zip_derived_cl6697,zip_derived_cl6695]) ).
thf(zip_derived_cl6697_002,plain,
! [X2: ( a > $o ) > $o,X3: a] :
( ( '#l_lift15247' @ X2 @ X3 )
= ( ( X3
= ( '#sk15' @ X2 ) )
| ( '#sk11' @ X2 @ X3 ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl7,plain,
( ( !!
@ ^ [Y0: a > $o] :
( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a > $o] :
( ( ( !!
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
<=> ( ( Y3 = Y1 )
| ( Y0 @ Y3 ) ) ) )
& ( '#sk1' @ Y0 ) )
=> ( '#sk1' @ Y2 ) ) ) ) )
& ( !!
@ ^ [Y0: a > $o] :
( ( (~)
@ ( ??
@ ^ [Y1: a] : ( Y0 @ Y1 ) ) )
=> ( '#sk1' @ Y0 ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl11,plain,
( !!
@ ^ [Y0: a > $o] :
( ( (~)
@ ( ??
@ ^ [Y1: a] : ( Y0 @ Y1 ) ) )
=> ( '#sk1' @ Y0 ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl7]) ).
thf(zip_derived_cl15,plain,
! [X2: a > $o] :
( ( (~)
@ ( ??
@ ^ [Y0: a] : ( X2 @ Y0 ) ) )
=> ( '#sk1' @ X2 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl11]) ).
thf(zip_derived_cl19,plain,
! [X2: a > $o] :
( ( ??
@ ^ [Y0: a] : ( X2 @ Y0 ) )
| ( '#sk1' @ X2 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl15]) ).
thf(zip_derived_cl24,plain,
! [X2: a > $o] :
( ( X2 @ ( '#sk27' @ X2 ) )
| ( '#sk1' @ X2 ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl19]) ).
thf(zip_derived_cl20_003,plain,
! [X2: ( a > $o ) > $o] :
( ( X2 @ ( '#sk11' @ X2 ) )
| ( X2 @ cC )
| ~ ( X2
@ ^ [Y0: a] : $false ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl17]) ).
thf(zip_derived_cl136,plain,
! [X0: $o,X1: ( a > $o ) > a,X2: a > a > $o] :
( ( '#sk1'
@ ^ [Y0: a] :
( ^ [Y1: a > $o,Y2: a] : X0
@ ( X2 @ Y0 )
@ Y0 ) )
| ( ^ [Y0: a > $o] :
( ^ [Y1: a > $o,Y2: a] : X0
@ Y0
@ ( X1 @ Y0 ) )
@ cC )
| ( ^ [Y0: a > $o] :
( ^ [Y1: a > $o,Y2: a] : X0
@ Y0
@ ( X1 @ Y0 ) )
@ ( '#sk11'
@ ^ [Y0: a > $o] :
( ^ [Y1: a > $o,Y2: a] : X0
@ Y0
@ ( X1 @ Y0 ) ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl24,zip_derived_cl20]) ).
thf(zip_derived_cl152,plain,
! [X0: $o] :
( ( '#sk1'
@ ^ [Y0: a] : X0 )
| X0
| X0 ),
inference(ho_norm,[status(thm)],[zip_derived_cl136]) ).
thf(zip_derived_cl153,plain,
! [X0: $o] :
( X0
| ( '#sk1'
@ ^ [Y0: a] : X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl152]) ).
thf(zip_derived_cl153_004,plain,
! [X0: $o] :
( X0
| ( '#sk1'
@ ^ [Y0: a] : X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl152]) ).
thf(zip_derived_cl6695_005,plain,
! [X3: a] :
~ ( '#l_lift15246' @ X3 ),
define([status(thm)]) ).
thf(zip_derived_cl6710,plain,
( ( '#l_lift15248' @ $false )
= '#l_lift15246' ),
define([status(thm)]) ).
thf(zip_derived_cl153_006,plain,
! [X0: $o] :
( X0
| ( '#sk1'
@ ^ [Y0: a] : X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl152]) ).
thf(zip_derived_cl6709,plain,
! [X0: $o,X1: a] :
( ( '#l_lift15248' @ X0 @ X1 )
= X0 ),
define([status(thm)]) ).
thf(zip_derived_cl6711,plain,
! [X0: $o] :
( X0
| ( '#sk1' @ ( '#l_lift15248' @ X0 ) ) ),
inference(lambda_lifting,[status(thm)],[zip_derived_cl153,zip_derived_cl6710,zip_derived_cl6709]) ).
thf(zip_derived_cl6710_007,plain,
( ( '#l_lift15248' @ $false )
= '#l_lift15246' ),
define([status(thm)]) ).
thf(zip_derived_cl85,plain,
( ( '#sk1' @ ( '#sk11' @ '#sk1' ) )
| ~ ( '#sk1'
@ ^ [Y0: a] : $false ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl84]) ).
thf(zip_derived_cl6695_008,plain,
! [X3: a] :
~ ( '#l_lift15246' @ X3 ),
define([status(thm)]) ).
thf(zip_derived_cl6699,plain,
( ( '#sk1' @ ( '#sk11' @ '#sk1' ) )
| ~ ( '#sk1' @ '#l_lift15246' ) ),
inference(lambda_lifting,[status(thm)],[zip_derived_cl85,zip_derived_cl6695]) ).
thf(zip_derived_cl10,plain,
( !!
@ ^ [Y0: a > $o] :
( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a > $o] :
( ( ( !!
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
<=> ( ( Y3 = Y1 )
| ( Y0 @ Y3 ) ) ) )
& ( '#sk1' @ Y0 ) )
=> ( '#sk1' @ Y2 ) ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl7]) ).
thf(zip_derived_cl13,plain,
! [X2: a > $o] :
( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a > $o] :
( ( ( !!
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
<=> ( ( Y2 = Y0 )
| ( X2 @ Y2 ) ) ) )
& ( '#sk1' @ X2 ) )
=> ( '#sk1' @ Y1 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl10]) ).
thf(zip_derived_cl14,plain,
! [X0: ( a > $o ) > $o] :
( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a > $o] :
( ( ( !!
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
<=> ( ( Y2 = Y0 )
| ( '#sk11' @ X0 @ Y2 ) ) ) )
& ( '#sk1' @ ( '#sk11' @ X0 ) ) )
=> ( '#sk1' @ Y1 ) ) ) ),
inference(triggered_bool_instantiation,[status(thm)],[zip_derived_cl13]) ).
thf(zip_derived_cl58,plain,
! [X0: ( a > $o ) > $o,X2: a] :
( !!
@ ^ [Y0: a > $o] :
( ( ( !!
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
<=> ( ( Y1 = X2 )
| ( '#sk11' @ X0 @ Y1 ) ) ) )
& ( '#sk1' @ ( '#sk11' @ X0 ) ) )
=> ( '#sk1' @ Y0 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl14]) ).
thf(zip_derived_cl59,plain,
! [X0: ( a > $o ) > $o,X2: a,X4: a > $o] :
( ( ( !!
@ ^ [Y0: a] :
( ( X4 @ Y0 )
<=> ( ( Y0 = X2 )
| ( '#sk11' @ X0 @ Y0 ) ) ) )
& ( '#sk1' @ ( '#sk11' @ X0 ) ) )
=> ( '#sk1' @ X4 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl58]) ).
thf(zip_derived_cl63,plain,
! [X0: ( a > $o ) > $o,X2: a,X4: a > $o] :
( ~ ( ( !!
@ ^ [Y0: a] :
( ( X4 @ Y0 )
<=> ( ( Y0 = X2 )
| ( '#sk11' @ X0 @ Y0 ) ) ) )
& ( '#sk1' @ ( '#sk11' @ X0 ) ) )
| ( '#sk1' @ X4 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl59]) ).
thf(zip_derived_cl64,plain,
! [X0: ( a > $o ) > $o,X2: a,X4: a > $o] :
( ~ ( !!
@ ^ [Y0: a] :
( ( X4 @ Y0 )
<=> ( ( Y0 = X2 )
| ( '#sk11' @ X0 @ Y0 ) ) ) )
| ~ ( '#sk1' @ ( '#sk11' @ X0 ) )
| ( '#sk1' @ X4 ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl63]) ).
thf(zip_derived_cl65,plain,
! [X0: ( a > $o ) > $o,X2: a,X4: a > $o] :
( ~ ( ( X4 @ ( '#sk146' @ X0 @ X2 @ X4 ) )
<=> ( ( ( '#sk146' @ X0 @ X2 @ X4 )
= X2 )
| ( '#sk11' @ X0 @ ( '#sk146' @ X0 @ X2 @ X4 ) ) ) )
| ( '#sk1' @ X4 )
| ~ ( '#sk1' @ ( '#sk11' @ X0 ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl64]) ).
thf(zip_derived_cl66,plain,
! [X0: ( a > $o ) > $o,X2: a,X4: a > $o] :
( ( ( X4 @ ( '#sk146' @ X0 @ X2 @ X4 ) )
!= ( ( ( '#sk146' @ X0 @ X2 @ X4 )
= X2 )
| ( '#sk11' @ X0 @ ( '#sk146' @ X0 @ X2 @ X4 ) ) ) )
| ( '#sk1' @ X4 )
| ~ ( '#sk1' @ ( '#sk11' @ X0 ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl65]) ).
thf(zip_derived_cl6716,plain,
$false,
inference(eprover,[status(thm)],[zip_derived_cl6700,zip_derived_cl6697,zip_derived_cl6711,zip_derived_cl6710,zip_derived_cl6699,zip_derived_cl66]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU868^5 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.HvlTk1O6xi true
% 0.13/0.35 % Computer : n002.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 : Thu Aug 24 00:24:16 EDT 2023
% 0.20/0.35 % CPUTime :
% 0.20/0.35 % Running portfolio for 300 s
% 0.20/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.35 % Number of cores: 8
% 0.20/0.36 % Python version: Python 3.6.8
% 0.20/0.36 % Running in HO mode
% 0.20/0.65 % Total configuration time : 828
% 0.20/0.65 % Estimated wc time : 1656
% 0.20/0.65 % Estimated cpu time (8 cpus) : 207.0
% 0.20/0.75 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.20/0.76 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.20/0.76 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.20/0.77 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.20/0.77 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.20/0.77 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.20/0.77 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 1.46/0.84 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 47.83/6.86 % Solved by lams/20_acsne_simpl.sh.
% 47.83/6.86 % done 372 iterations in 6.040s
% 47.83/6.86 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 47.83/6.86 % SZS output start Refutation
% See solution above
% 47.83/6.86
% 47.83/6.86
% 47.83/6.86 % Terminating...
% 48.87/6.99 % Runner terminated.
% 48.87/7.01 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------