TSTP Solution File: SYO263^5 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SYO263^5 : TPTP v8.1.2. Released v4.0.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.xl2LdolcXq true
% Computer : n008.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 : Fri Sep 1 05:50:30 EDT 2023
% Result : Theorem 1.50s 1.69s
% Output : Refutation 1.50s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 14
% Syntax : Number of formulae : 68 ( 6 unt; 9 typ; 0 def)
% Number of atoms : 268 ( 9 equ; 80 cnn)
% Maximal formula atoms : 9 ( 4 avg)
% Number of connectives : 858 ( 174 ~; 129 |; 51 &; 425 @)
% ( 27 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 9 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 83 ( 83 >; 0 *; 0 +; 0 <<)
% Number of symbols : 15 ( 9 usr; 9 con; 0-2 aty)
% ( 38 !!; 14 ??; 0 @@+; 0 @@-)
% Number of variables : 125 ( 57 ^; 64 !; 4 ?; 125 :)
% Comments :
%------------------------------------------------------------------------------
thf('#sk4_type',type,
'#sk4': $i > $o ).
thf('#sk1_type',type,
'#sk1': $i ).
thf('#sk129_type',type,
'#sk129': $i ).
thf('#sk11_type',type,
'#sk11': ( $i > $o ) > $i ).
thf('#sk2_type',type,
'#sk2': $i ).
thf('#form185_type',type,
'#form185': ( $i > $o ) > $o ).
thf('#sk133_type',type,
'#sk133': ( $i > $o ) > $i ).
thf('#sk3_type',type,
'#sk3': $i ).
thf('#form27_type',type,
'#form27': ( $i > $o ) > $o ).
thf(cTHM125D,conjecture,
! [Xa: $i,Xb: $i,Xc: $i,P: $i > $o] :
? [Xm: $i > $o,Xn: $i > $o] :
( ( ( Xn @ Xa )
| ( Xm @ Xa ) )
& ( ( P @ Xb )
| ( Xn @ Xb ) )
& ( ( Xm @ Xc )
| ~ ( P @ Xc ) )
& ! [Xx: $i] :
( ( Xn @ Xx )
<=> ~ ( P @ Xx ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [Xa: $i,Xb: $i,Xc: $i,P: $i > $o] :
? [Xm: $i > $o,Xn: $i > $o] :
( ( ( Xn @ Xa )
| ( Xm @ Xa ) )
& ( ( P @ Xb )
| ( Xn @ Xb ) )
& ( ( Xm @ Xc )
| ~ ( P @ Xc ) )
& ! [Xx: $i] :
( ( Xn @ Xx )
<=> ~ ( P @ Xx ) ) ),
inference('cnf.neg',[status(esa)],[cTHM125D]) ).
thf(zip_derived_cl0,plain,
~ ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( !!
@ ^ [Y3: $i > $o] :
( ??
@ ^ [Y4: $i > $o] :
( ??
@ ^ [Y5: $i > $o] :
( ( ( Y5 @ Y0 )
| ( Y4 @ Y0 ) )
& ( ( Y3 @ Y1 )
| ( Y5 @ Y1 ) )
& ( ( Y4 @ Y2 )
| ( (~) @ ( Y3 @ Y2 ) ) )
& ( !!
@ ^ [Y6: $i] :
( ( Y5 @ Y6 )
<=> ( (~) @ ( Y3 @ Y6 ) ) ) ) ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1,plain,
~ ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i > $o] :
( ??
@ ^ [Y3: $i > $o] :
( ??
@ ^ [Y4: $i > $o] :
( ( ( Y4 @ '#sk1' )
| ( Y3 @ '#sk1' ) )
& ( ( Y2 @ Y0 )
| ( Y4 @ Y0 ) )
& ( ( Y3 @ Y1 )
| ( (~) @ ( Y2 @ Y1 ) ) )
& ( !!
@ ^ [Y5: $i] :
( ( Y4 @ Y5 )
<=> ( (~) @ ( Y2 @ Y5 ) ) ) ) ) ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl2,plain,
~ ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i > $o] :
( ??
@ ^ [Y2: $i > $o] :
( ??
@ ^ [Y3: $i > $o] :
( ( ( Y3 @ '#sk1' )
| ( Y2 @ '#sk1' ) )
& ( ( Y1 @ '#sk2' )
| ( Y3 @ '#sk2' ) )
& ( ( Y2 @ Y0 )
| ( (~) @ ( Y1 @ Y0 ) ) )
& ( !!
@ ^ [Y4: $i] :
( ( Y3 @ Y4 )
<=> ( (~) @ ( Y1 @ Y4 ) ) ) ) ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl3,plain,
~ ( !!
@ ^ [Y0: $i > $o] :
( ??
@ ^ [Y1: $i > $o] :
( ??
@ ^ [Y2: $i > $o] :
( ( ( Y2 @ '#sk1' )
| ( Y1 @ '#sk1' ) )
& ( ( Y0 @ '#sk2' )
| ( Y2 @ '#sk2' ) )
& ( ( Y1 @ '#sk3' )
| ( (~) @ ( Y0 @ '#sk3' ) ) )
& ( !!
@ ^ [Y3: $i] :
( ( Y2 @ Y3 )
<=> ( (~) @ ( Y0 @ Y3 ) ) ) ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl4,plain,
~ ( ??
@ ^ [Y0: $i > $o] :
( ??
@ ^ [Y1: $i > $o] :
( ( ( Y1 @ '#sk1' )
| ( Y0 @ '#sk1' ) )
& ( ( '#sk4' @ '#sk2' )
| ( Y1 @ '#sk2' ) )
& ( ( Y0 @ '#sk3' )
| ( (~) @ ( '#sk4' @ '#sk3' ) ) )
& ( !!
@ ^ [Y2: $i] :
( ( Y1 @ Y2 )
<=> ( (~) @ ( '#sk4' @ Y2 ) ) ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl3]) ).
thf(zip_derived_cl5,plain,
! [X2: $i > $o] :
~ ( ??
@ ^ [Y0: $i > $o] :
( ( ( Y0 @ '#sk1' )
| ( X2 @ '#sk1' ) )
& ( ( '#sk4' @ '#sk2' )
| ( Y0 @ '#sk2' ) )
& ( ( X2 @ '#sk3' )
| ( (~) @ ( '#sk4' @ '#sk3' ) ) )
& ( !!
@ ^ [Y1: $i] :
( ( Y0 @ Y1 )
<=> ( (~) @ ( '#sk4' @ Y1 ) ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl8,plain,
~ ( ??
@ ^ [Y0: $i > $o] :
( ( ( Y0 @ '#sk1' )
| $true )
& ( ( '#sk4' @ '#sk2' )
| ( Y0 @ '#sk2' ) )
& ( $true
| ( (~) @ ( '#sk4' @ '#sk3' ) ) )
& ( !!
@ ^ [Y1: $i] :
( ( Y0 @ Y1 )
<=> ( (~) @ ( '#sk4' @ Y1 ) ) ) ) ) ),
inference('ho.refine.early.bird',[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl102,plain,
~ ( ??
@ ^ [Y0: $i > $o] :
( ( ( '#sk4' @ '#sk2' )
| ( Y0 @ '#sk2' ) )
& ( !!
@ ^ [Y1: $i] :
( ( Y0 @ Y1 )
<=> ( (~) @ ( '#sk4' @ Y1 ) ) ) ) ) ),
inference('simplify boolean subterms',[status(thm)],[zip_derived_cl8]) ).
thf(zip_derived_cl103,plain,
! [X2: $i > $o] :
~ ( ( ( '#sk4' @ '#sk2' )
| ( X2 @ '#sk2' ) )
& ( !!
@ ^ [Y0: $i] :
( ( X2 @ Y0 )
<=> ( (~) @ ( '#sk4' @ Y0 ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl102]) ).
thf(zip_derived_cl104,plain,
! [X0: $i > $o] :
~ ( ( ( '#sk4' @ '#sk2' )
| ( (~) @ ( X0 @ '#sk2' ) ) )
& ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( X0 @ Y0 ) )
<=> ( (~) @ ( '#sk4' @ Y0 ) ) ) ) ),
inference('ho.refine.early.bird',[status(thm)],[zip_derived_cl103]) ).
thf(zip_derived_cl116,plain,
! [X0: $i > $o] :
( ~ ( ( '#sk4' @ '#sk2' )
| ( (~) @ ( X0 @ '#sk2' ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( X0 @ Y0 ) )
<=> ( (~) @ ( '#sk4' @ Y0 ) ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl104]) ).
thf(zip_derived_cl117,plain,
! [X0: $i > $o] :
( ~ ( '#sk4' @ '#sk2' )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( X0 @ Y0 ) )
<=> ( (~) @ ( '#sk4' @ Y0 ) ) ) ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl116]) ).
thf(zip_derived_cl119,plain,
! [X0: $i > $o] :
( ~ ( ( (~) @ ( X0 @ ( '#sk133' @ X0 ) ) )
<=> ( (~) @ ( '#sk4' @ ( '#sk133' @ X0 ) ) ) )
| ~ ( '#sk4' @ '#sk2' ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl117]) ).
thf(zip_derived_cl121,plain,
! [X0: $i > $o] :
( ( ( X0 @ ( '#sk133' @ X0 ) )
!= ( '#sk4' @ ( '#sk133' @ X0 ) ) )
| ~ ( '#sk4' @ '#sk2' ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl119]) ).
thf(zip_derived_cl269,plain,
~ ( '#sk4' @ '#sk2' ),
inference(eq_res,[status(thm)],[zip_derived_cl121]) ).
thf(zip_derived_cl5_001,plain,
! [X2: $i > $o] :
~ ( ??
@ ^ [Y0: $i > $o] :
( ( ( Y0 @ '#sk1' )
| ( X2 @ '#sk1' ) )
& ( ( '#sk4' @ '#sk2' )
| ( Y0 @ '#sk2' ) )
& ( ( X2 @ '#sk3' )
| ( (~) @ ( '#sk4' @ '#sk3' ) ) )
& ( !!
@ ^ [Y1: $i] :
( ( Y0 @ Y1 )
<=> ( (~) @ ( '#sk4' @ Y1 ) ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl9,plain,
! [X2: $i > $o,X4: $i > $o] :
~ ( ( ( X4 @ '#sk1' )
| ( X2 @ '#sk1' ) )
& ( ( '#sk4' @ '#sk2' )
| ( X4 @ '#sk2' ) )
& ( ( X2 @ '#sk3' )
| ( (~) @ ( '#sk4' @ '#sk3' ) ) )
& ( !!
@ ^ [Y0: $i] :
( ( X4 @ Y0 )
<=> ( (~) @ ( '#sk4' @ Y0 ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl10,plain,
! [X0: $i > $o,X1: $i > $o] :
~ ( ( ( (~) @ ( X0 @ '#sk1' ) )
| ( X1 @ '#sk1' ) )
& ( ( '#sk4' @ '#sk2' )
| ( (~) @ ( X0 @ '#sk2' ) ) )
& ( ( X1 @ '#sk3' )
| ( (~) @ ( '#sk4' @ '#sk3' ) ) )
& ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( X0 @ Y0 ) )
<=> ( (~) @ ( '#sk4' @ Y0 ) ) ) ) ),
inference('ho.refine.early.bird',[status(thm)],[zip_derived_cl9]) ).
thf(zip_derived_cl133,plain,
! [X0: $i > $o,X1: $i > $o] :
( ~ ( ( (~) @ ( X0 @ '#sk1' ) )
| ( X1 @ '#sk1' ) )
| ~ ( ( '#sk4' @ '#sk2' )
| ( (~) @ ( X0 @ '#sk2' ) ) )
| ~ ( ( X1 @ '#sk3' )
| ( (~) @ ( '#sk4' @ '#sk3' ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( X0 @ Y0 ) )
<=> ( (~) @ ( '#sk4' @ Y0 ) ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl10]) ).
thf(zip_derived_cl9_002,plain,
! [X2: $i > $o,X4: $i > $o] :
~ ( ( ( X4 @ '#sk1' )
| ( X2 @ '#sk1' ) )
& ( ( '#sk4' @ '#sk2' )
| ( X4 @ '#sk2' ) )
& ( ( X2 @ '#sk3' )
| ( (~) @ ( '#sk4' @ '#sk3' ) ) )
& ( !!
@ ^ [Y0: $i] :
( ( X4 @ Y0 )
<=> ( (~) @ ( '#sk4' @ Y0 ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl13,plain,
! [X2: $i > $o,X4: $i > $o] :
( ~ ( ( X4 @ '#sk1' )
| ( X2 @ '#sk1' ) )
| ~ ( ( '#sk4' @ '#sk2' )
| ( X4 @ '#sk2' ) )
| ~ ( ( X2 @ '#sk3' )
| ( (~) @ ( '#sk4' @ '#sk3' ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( X4 @ Y0 )
<=> ( (~) @ ( '#sk4' @ Y0 ) ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl9]) ).
thf(zip_derived_cl15,plain,
! [X2: $i > $o,X4: $i > $o] :
( ~ ( X2 @ '#sk1' )
| ~ ( !!
@ ^ [Y0: $i] :
( ( X4 @ Y0 )
<=> ( (~) @ ( '#sk4' @ Y0 ) ) ) )
| ~ ( ( X2 @ '#sk3' )
| ( (~) @ ( '#sk4' @ '#sk3' ) ) )
| ~ ( ( '#sk4' @ '#sk2' )
| ( X4 @ '#sk2' ) ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl13]) ).
thf(zip_derived_cl19,plain,
! [X2: $i > $o,X4: $i > $o] :
( ~ ( ( X4 @ ( '#sk11' @ X4 ) )
<=> ( (~) @ ( '#sk4' @ ( '#sk11' @ X4 ) ) ) )
| ~ ( ( '#sk4' @ '#sk2' )
| ( X4 @ '#sk2' ) )
| ~ ( ( X2 @ '#sk3' )
| ( (~) @ ( '#sk4' @ '#sk3' ) ) )
| ~ ( X2 @ '#sk1' ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl15]) ).
thf(zip_derived_cl23,plain,
! [X2: $i > $o,X4: $i > $o] :
( ( ( X4 @ ( '#sk11' @ X4 ) )
= ( '#sk4' @ ( '#sk11' @ X4 ) ) )
| ~ ( ( '#sk4' @ '#sk2' )
| ( X4 @ '#sk2' ) )
| ~ ( ( X2 @ '#sk3' )
| ( (~) @ ( '#sk4' @ '#sk3' ) ) )
| ~ ( X2 @ '#sk1' ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl19]) ).
thf(zip_derived_cl24,plain,
! [X2: $i > $o,X4: $i > $o] :
( ~ ( '#sk4' @ '#sk2' )
| ~ ( X2 @ '#sk1' )
| ~ ( ( X2 @ '#sk3' )
| ( (~) @ ( '#sk4' @ '#sk3' ) ) )
| ( ( X4 @ ( '#sk11' @ X4 ) )
= ( '#sk4' @ ( '#sk11' @ X4 ) ) ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl23]) ).
thf(zip_derived_cl30,plain,
! [X2: $i > $o] :
( ( '#form27' @ X2 )
| ~ ( ( X2 @ '#sk3' )
| ( (~) @ ( '#sk4' @ '#sk3' ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl134,plain,
! [X0: $i > $o,X1: $i > $o] :
( ~ ( '#form27' @ X1 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( X0 @ Y0 ) )
<=> ( (~) @ ( '#sk4' @ Y0 ) ) ) )
| ~ ( ( '#sk4' @ '#sk2' )
| ( (~) @ ( X0 @ '#sk2' ) ) )
| ~ ( ( (~) @ ( X0 @ '#sk1' ) )
| ( X1 @ '#sk1' ) ) ),
inference(renaming,[status(thm)],[zip_derived_cl133,zip_derived_cl30]) ).
thf(zip_derived_cl135,plain,
! [X0: $i > $o,X1: $i > $o] :
( ~ ( ( (~) @ ( X0 @ ( '#sk133' @ X0 ) ) )
<=> ( (~) @ ( '#sk4' @ ( '#sk133' @ X0 ) ) ) )
| ~ ( ( (~) @ ( X0 @ '#sk1' ) )
| ( X1 @ '#sk1' ) )
| ~ ( ( '#sk4' @ '#sk2' )
| ( (~) @ ( X0 @ '#sk2' ) ) )
| ~ ( '#form27' @ X1 ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl134]) ).
thf(zip_derived_cl136,plain,
! [X0: $i > $o,X1: $i > $o] :
( ( ( X0 @ ( '#sk133' @ X0 ) )
!= ( '#sk4' @ ( '#sk133' @ X0 ) ) )
| ~ ( ( (~) @ ( X0 @ '#sk1' ) )
| ( X1 @ '#sk1' ) )
| ~ ( ( '#sk4' @ '#sk2' )
| ( (~) @ ( X0 @ '#sk2' ) ) )
| ~ ( '#form27' @ X1 ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl135]) ).
thf(zip_derived_cl137,plain,
! [X0: $i > $o,X1: $i > $o] :
( ( X0 @ '#sk1' )
| ~ ( '#form27' @ X1 )
| ~ ( ( '#sk4' @ '#sk2' )
| ( (~) @ ( X0 @ '#sk2' ) ) )
| ( ( X0 @ ( '#sk133' @ X0 ) )
!= ( '#sk4' @ ( '#sk133' @ X0 ) ) ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl136]) ).
thf(zip_derived_cl139,plain,
! [X0: $i > $o] :
( ( '#form185' @ X0 )
| ~ ( ( '#sk4' @ '#sk2' )
| ( (~) @ ( X0 @ '#sk2' ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl141,plain,
! [X0: $i > $o] :
( ( X0 @ '#sk2' )
| ( '#form185' @ X0 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl139]) ).
thf(zip_derived_cl299,plain,
( '#form185'
@ ^ [Y0: $i] : ( '#sk4' @ Y0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl269,zip_derived_cl141]) ).
thf(zip_derived_cl303,plain,
'#form185' @ '#sk4',
inference(ho_norm,[status(thm)],[zip_derived_cl299]) ).
thf(zip_derived_cl138,plain,
! [X0: $i > $o,X1: $i > $o] :
( ~ ( X1 @ '#sk1' )
| ~ ( '#form27' @ X1 )
| ~ ( ( '#sk4' @ '#sk2' )
| ( (~) @ ( X0 @ '#sk2' ) ) )
| ( ( X0 @ ( '#sk133' @ X0 ) )
!= ( '#sk4' @ ( '#sk133' @ X0 ) ) ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl136]) ).
thf(zip_derived_cl139_003,plain,
! [X0: $i > $o] :
( ( '#form185' @ X0 )
| ~ ( ( '#sk4' @ '#sk2' )
| ( (~) @ ( X0 @ '#sk2' ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl143,plain,
! [X0: $i > $o,X1: $i > $o] :
( ~ ( '#form185' @ X0 )
| ( ( X0 @ ( '#sk133' @ X0 ) )
!= ( '#sk4' @ ( '#sk133' @ X0 ) ) )
| ~ ( '#form27' @ X1 )
| ~ ( X1 @ '#sk1' ) ),
inference(renaming,[status(thm)],[zip_derived_cl138,zip_derived_cl139]) ).
thf(zip_derived_cl890,plain,
! [X0: $i > $o] :
( ~ ( '#form27'
@ ^ [Y0: $i] : ( '#form185' @ '#sk4' ) )
| ( ( X0 @ ( '#sk133' @ X0 ) )
!= ( '#sk4' @ ( '#sk133' @ X0 ) ) )
| ~ ( '#form185' @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl303,zip_derived_cl143]) ).
thf(zip_derived_cl303_004,plain,
'#form185' @ '#sk4',
inference(ho_norm,[status(thm)],[zip_derived_cl299]) ).
thf(zip_derived_cl9_005,plain,
! [X2: $i > $o,X4: $i > $o] :
~ ( ( ( X4 @ '#sk1' )
| ( X2 @ '#sk1' ) )
& ( ( '#sk4' @ '#sk2' )
| ( X4 @ '#sk2' ) )
& ( ( X2 @ '#sk3' )
| ( (~) @ ( '#sk4' @ '#sk3' ) ) )
& ( !!
@ ^ [Y0: $i] :
( ( X4 @ Y0 )
<=> ( (~) @ ( '#sk4' @ Y0 ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl12,plain,
! [X0: $i > $o] :
~ ( ( $true
| ( X0 @ '#sk1' ) )
& ( ( '#sk4' @ '#sk2' )
| $true )
& ( ( X0 @ '#sk3' )
| ( (~) @ ( '#sk4' @ '#sk3' ) ) )
& ( !!
@ ^ [Y0: $i] :
( $true
<=> ( (~) @ ( '#sk4' @ Y0 ) ) ) ) ),
inference('ho.refine.early.bird',[status(thm)],[zip_derived_cl9]) ).
thf(zip_derived_cl82,plain,
! [X0: $i > $o] :
~ ( ( ( X0 @ '#sk3' )
| ( (~) @ ( '#sk4' @ '#sk3' ) ) )
& ( !!
@ ^ [Y0: $i] : ( (~) @ ( '#sk4' @ Y0 ) ) ) ),
inference('simplify boolean subterms',[status(thm)],[zip_derived_cl12]) ).
thf(zip_derived_cl83,plain,
! [X0: $o] :
~ ( ( ( ^ [Y0: $i] : X0
@ '#sk3' )
| ( (~) @ ( '#sk4' @ '#sk3' ) ) )
& ( !!
@ ^ [Y0: $i] : ( (~) @ ( '#sk4' @ Y0 ) ) ) ),
inference(prune_arg_fun,[status(thm)],[zip_derived_cl82]) ).
thf(zip_derived_cl84,plain,
! [X0: $o] :
~ ( ( X0
| ( (~) @ ( '#sk4' @ '#sk3' ) ) )
& ( !!
@ ^ [Y0: $i] : ( (~) @ ( '#sk4' @ Y0 ) ) ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl83]) ).
thf(zip_derived_cl85,plain,
! [X0: $o] :
( ~ ( X0
| ( (~) @ ( '#sk4' @ '#sk3' ) ) )
| ~ ( !!
@ ^ [Y0: $i] : ( (~) @ ( '#sk4' @ Y0 ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl84]) ).
thf(zip_derived_cl86,plain,
! [X0: $o] :
( ~ X0
| ~ ( !!
@ ^ [Y0: $i] : ( (~) @ ( '#sk4' @ Y0 ) ) ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl85]) ).
thf(zip_derived_cl88,plain,
~ ( !!
@ ^ [Y0: $i] : ( (~) @ ( '#sk4' @ Y0 ) ) ),
inference(condensation,[status(thm)],[zip_derived_cl86]) ).
thf(zip_derived_cl89,plain,
'#sk4' @ '#sk129',
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl88]) ).
thf(zip_derived_cl30_006,plain,
! [X2: $i > $o] :
( ( '#form27' @ X2 )
| ~ ( ( X2 @ '#sk3' )
| ( (~) @ ( '#sk4' @ '#sk3' ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl31,plain,
! [X2: $i > $o] :
( ~ ( X2 @ '#sk3' )
| ( '#form27' @ X2 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl30]) ).
thf(zip_derived_cl156,plain,
( '#form27'
@ ^ [Y0: $i] : ( '#sk4' @ '#sk129' ) ),
inference('sup-',[status(thm)],[zip_derived_cl89,zip_derived_cl31]) ).
thf(zip_derived_cl89_007,plain,
'#sk4' @ '#sk129',
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl88]) ).
thf(zip_derived_cl159,plain,
( '#form27'
@ ^ [Y0: $i] : $true ),
inference(demod,[status(thm)],[zip_derived_cl156,zip_derived_cl89]) ).
thf(zip_derived_cl930,plain,
! [X0: $i > $o] :
( ( ( X0 @ ( '#sk133' @ X0 ) )
!= ( '#sk4' @ ( '#sk133' @ X0 ) ) )
| ~ ( '#form185' @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl890,zip_derived_cl303,zip_derived_cl159]) ).
thf(zip_derived_cl1364,plain,
~ ( '#form185' @ '#sk4' ),
inference(eq_res,[status(thm)],[zip_derived_cl930]) ).
thf(zip_derived_cl303_008,plain,
'#form185' @ '#sk4',
inference(ho_norm,[status(thm)],[zip_derived_cl299]) ).
thf(zip_derived_cl1385,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl1364,zip_derived_cl303]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SYO263^5 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.xl2LdolcXq true
% 0.13/0.35 % Computer : n008.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 : Fri Aug 25 22:59:02 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.36 % Python version: Python 3.6.8
% 0.13/0.36 % Running in HO mode
% 0.22/0.67 % Total configuration time : 828
% 0.22/0.67 % Estimated wc time : 1656
% 0.22/0.67 % Estimated cpu time (8 cpus) : 207.0
% 0.22/0.72 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.22/0.76 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.22/0.77 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.22/0.78 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.22/0.78 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.22/0.78 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.22/0.79 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.22/0.81 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 1.50/1.69 % Solved by lams/30_sp5.sh.
% 1.50/1.69 % done 80 iterations in 0.811s
% 1.50/1.69 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.50/1.69 % SZS output start Refutation
% See solution above
% 1.50/1.69
% 1.50/1.69
% 1.50/1.69 % Terminating...
% 8.73/1.79 % Runner terminated.
% 8.73/1.80 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------