%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SYO264^5 : 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.i76d8zv4x9 true
% Computer : n014.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 05:07:08 PM UTC 2025
% Result : Theorem 8.30s 1.78s
% Output : Refutation 8.30s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 5
% Syntax : Number of formulae : 59 ( 6 unt; 0 typ; 0 def)
% Number of atoms : 268 ( 9 equ; 80 cnn)
% Maximal formula atoms : 9 ( 4 avg)
% Number of connectives : 859 ( 175 ~; 129 |; 51 &; 425 @)
% ( 27 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 9 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 74 ( 74 >; 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('#sk136_type',type,
'#sk136': ( $i > $o ) > $i ).
thf('#sk4_type',type,
'#sk4': $i > $o ).
thf('#sk1_type',type,
'#sk1': $i ).
thf('#sk132_type',type,
'#sk132': $i ).
thf('#sk8_type',type,
'#sk8': ( $i > $o ) > $i ).
thf('#form188_type',type,
'#form188': ( $i > $o ) > $o ).
thf('#sk2_type',type,
'#sk2': $i ).
thf('#form23_type',type,
'#form23': ( $i > $o ) > $o ).
thf('#sk3_type',type,
'#sk3': $i ).
thf(cTHM125C,conjecture,
! [Xa: $i,Xb: $i,Xc: $i,P: $i > $o] :
? [Xm: $i > $o,Xn: $i > $o] :
( ( ( Xm @ Xa )
| ( Xn @ 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] :
( ( ( Xm @ Xa )
| ( Xn @ Xa ) )
& ( ( P @ Xb )
| ( Xn @ Xb ) )
& ( ( Xm @ Xc )
| ~ ( P @ Xc ) )
& ! [Xx: $i] :
( ( Xn @ Xx )
<=> ~ ( P @ Xx ) ) ),
inference('cnf.neg',[status(esa)],[cTHM125C]) ).
thf(zip_derived_cl0,plain,
~ ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( !!
@ ^ [Y3: $i > $o] :
( ??
@ ^ [Y4: $i > $o] :
( ??
@ ^ [Y5: $i > $o] :
( ( ( Y4 @ Y0 )
| ( Y5 @ 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] :
( ( ( Y3 @ '#sk1' )
| ( Y4 @ '#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] :
( ( ( Y2 @ '#sk1' )
| ( Y3 @ '#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] :
( ( ( Y1 @ '#sk1' )
| ( Y2 @ '#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] :
( ( ( Y0 @ '#sk1' )
| ( Y1 @ '#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] :
( ( ( X2 @ '#sk1' )
| ( Y0 @ '#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] :
( ( $true
| ( Y0 @ '#sk1' ) )
& ( ( '#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_cl103,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_cl104,plain,
! [X2: $i > $o] :
~ ( ( ( '#sk4' @ '#sk2' )
| ( X2 @ '#sk2' ) )
& ( !!
@ ^ [Y0: $i] :
( ( X2 @ Y0 )
<=> ( (~) @ ( '#sk4' @ Y0 ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl103]) ).
thf(zip_derived_cl105,plain,
! [X0: $i > $o] :
~ ( ( ( '#sk4' @ '#sk2' )
| ( (~) @ ( X0 @ '#sk2' ) ) )
& ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( X0 @ Y0 ) )
<=> ( (~) @ ( '#sk4' @ Y0 ) ) ) ) ),
inference('ho.refine.early.bird',[status(thm)],[zip_derived_cl104]) ).
thf(zip_derived_cl117,plain,
! [X0: $i > $o] :
( ~ ( ( '#sk4' @ '#sk2' )
| ( (~) @ ( X0 @ '#sk2' ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( X0 @ Y0 ) )
<=> ( (~) @ ( '#sk4' @ Y0 ) ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl105]) ).
thf(zip_derived_cl118,plain,
! [X0: $i > $o] :
( ~ ( '#sk4' @ '#sk2' )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( X0 @ Y0 ) )
<=> ( (~) @ ( '#sk4' @ Y0 ) ) ) ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl117]) ).
thf(zip_derived_cl120,plain,
! [X0: $i > $o] :
( ~ ( ( (~) @ ( X0 @ ( '#sk136' @ X0 ) ) )
<=> ( (~) @ ( '#sk4' @ ( '#sk136' @ X0 ) ) ) )
| ~ ( '#sk4' @ '#sk2' ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl118]) ).
thf(zip_derived_cl122,plain,
! [X0: $i > $o] :
( ( ( X0 @ ( '#sk136' @ X0 ) )
!= ( '#sk4' @ ( '#sk136' @ X0 ) ) )
| ~ ( '#sk4' @ '#sk2' ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl120]) ).
thf(zip_derived_cl270,plain,
~ ( '#sk4' @ '#sk2' ),
inference(eq_res,[status(thm)],[zip_derived_cl122]) ).
thf(zip_derived_cl5_001,plain,
! [X2: $i > $o] :
~ ( ??
@ ^ [Y0: $i > $o] :
( ( ( X2 @ '#sk1' )
| ( Y0 @ '#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] :
~ ( ( ( X2 @ '#sk1' )
| ( X4 @ '#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] :
~ ( ( ( X1 @ '#sk1' )
| ( (~) @ ( X0 @ '#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_cl134,plain,
! [X0: $i > $o,X1: $i > $o] :
( ~ ( ( X1 @ '#sk1' )
| ( (~) @ ( X0 @ '#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] :
~ ( ( ( X2 @ '#sk1' )
| ( X4 @ '#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] :
( ~ ( ( X2 @ '#sk1' )
| ( X4 @ '#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_cl14,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_cl16,plain,
! [X2: $i > $o,X4: $i > $o] :
( ~ ( ( X4 @ ( '#sk8' @ X4 ) )
<=> ( (~) @ ( '#sk4' @ ( '#sk8' @ X4 ) ) ) )
| ~ ( ( '#sk4' @ '#sk2' )
| ( X4 @ '#sk2' ) )
| ~ ( ( X2 @ '#sk3' )
| ( (~) @ ( '#sk4' @ '#sk3' ) ) )
| ~ ( X2 @ '#sk1' ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl14]) ).
thf(zip_derived_cl20,plain,
! [X2: $i > $o,X4: $i > $o] :
( ( ( X4 @ ( '#sk8' @ X4 ) )
= ( '#sk4' @ ( '#sk8' @ X4 ) ) )
| ~ ( ( '#sk4' @ '#sk2' )
| ( X4 @ '#sk2' ) )
| ~ ( ( X2 @ '#sk3' )
| ( (~) @ ( '#sk4' @ '#sk3' ) ) )
| ~ ( X2 @ '#sk1' ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl16]) ).
thf(zip_derived_cl21,plain,
! [X2: $i > $o,X4: $i > $o] :
( ~ ( '#sk4' @ '#sk2' )
| ~ ( X2 @ '#sk1' )
| ~ ( ( X2 @ '#sk3' )
| ( (~) @ ( '#sk4' @ '#sk3' ) ) )
| ( ( X4 @ ( '#sk8' @ X4 ) )
= ( '#sk4' @ ( '#sk8' @ X4 ) ) ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl20]) ).
thf(zip_derived_cl26,plain,
! [X2: $i > $o] :
( ( '#form23' @ X2 )
| ~ ( ( X2 @ '#sk3' )
| ( (~) @ ( '#sk4' @ '#sk3' ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl135,plain,
! [X0: $i > $o,X1: $i > $o] :
( ~ ( '#form23' @ X1 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( X0 @ Y0 ) )
<=> ( (~) @ ( '#sk4' @ Y0 ) ) ) )
| ~ ( ( '#sk4' @ '#sk2' )
| ( (~) @ ( X0 @ '#sk2' ) ) )
| ~ ( ( X1 @ '#sk1' )
| ( (~) @ ( X0 @ '#sk1' ) ) ) ),
inference(renaming,[status(thm)],[zip_derived_cl134,zip_derived_cl26]) ).
thf(zip_derived_cl136,plain,
! [X0: $i > $o,X1: $i > $o] :
( ~ ( ( (~) @ ( X0 @ ( '#sk136' @ X0 ) ) )
<=> ( (~) @ ( '#sk4' @ ( '#sk136' @ X0 ) ) ) )
| ~ ( ( X1 @ '#sk1' )
| ( (~) @ ( X0 @ '#sk1' ) ) )
| ~ ( ( '#sk4' @ '#sk2' )
| ( (~) @ ( X0 @ '#sk2' ) ) )
| ~ ( '#form23' @ X1 ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl135]) ).
thf(zip_derived_cl137,plain,
! [X0: $i > $o,X1: $i > $o] :
( ( ( X0 @ ( '#sk136' @ X0 ) )
!= ( '#sk4' @ ( '#sk136' @ X0 ) ) )
| ~ ( ( X1 @ '#sk1' )
| ( (~) @ ( X0 @ '#sk1' ) ) )
| ~ ( ( '#sk4' @ '#sk2' )
| ( (~) @ ( X0 @ '#sk2' ) ) )
| ~ ( '#form23' @ X1 ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl136]) ).
thf(zip_derived_cl138,plain,
! [X0: $i > $o,X1: $i > $o] :
( ~ ( X1 @ '#sk1' )
| ~ ( '#form23' @ X1 )
| ~ ( ( '#sk4' @ '#sk2' )
| ( (~) @ ( X0 @ '#sk2' ) ) )
| ( ( X0 @ ( '#sk136' @ X0 ) )
!= ( '#sk4' @ ( '#sk136' @ X0 ) ) ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl137]) ).
thf(zip_derived_cl140,plain,
! [X0: $i > $o] :
( ( '#form188' @ X0 )
| ~ ( ( '#sk4' @ '#sk2' )
| ( (~) @ ( X0 @ '#sk2' ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl142,plain,
! [X0: $i > $o] :
( ( X0 @ '#sk2' )
| ( '#form188' @ X0 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl140]) ).
thf(zip_derived_cl300,plain,
( '#form188'
@ ^ [Y0: $i] : ( '#sk4' @ Y0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl270,zip_derived_cl142]) ).
thf(zip_derived_cl304,plain,
'#form188' @ '#sk4',
inference(ho_norm,[status(thm)],[zip_derived_cl300]) ).
thf(zip_derived_cl138_003,plain,
! [X0: $i > $o,X1: $i > $o] :
( ~ ( X1 @ '#sk1' )
| ~ ( '#form23' @ X1 )
| ~ ( ( '#sk4' @ '#sk2' )
| ( (~) @ ( X0 @ '#sk2' ) ) )
| ( ( X0 @ ( '#sk136' @ X0 ) )
!= ( '#sk4' @ ( '#sk136' @ X0 ) ) ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl137]) ).
thf(zip_derived_cl140_004,plain,
! [X0: $i > $o] :
( ( '#form188' @ X0 )
| ~ ( ( '#sk4' @ '#sk2' )
| ( (~) @ ( X0 @ '#sk2' ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl143,plain,
! [X0: $i > $o,X1: $i > $o] :
( ~ ( '#form188' @ X0 )
| ( ( X0 @ ( '#sk136' @ X0 ) )
!= ( '#sk4' @ ( '#sk136' @ X0 ) ) )
| ~ ( '#form23' @ X1 )
| ~ ( X1 @ '#sk1' ) ),
inference(renaming,[status(thm)],[zip_derived_cl138,zip_derived_cl140]) ).
thf(zip_derived_cl891,plain,
! [X0: $i > $o] :
( ~ ( '#form23'
@ ^ [Y0: $i] : ( '#form188' @ '#sk4' ) )
| ( ( X0 @ ( '#sk136' @ X0 ) )
!= ( '#sk4' @ ( '#sk136' @ X0 ) ) )
| ~ ( '#form188' @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl304,zip_derived_cl143]) ).
thf(zip_derived_cl304_005,plain,
'#form188' @ '#sk4',
inference(ho_norm,[status(thm)],[zip_derived_cl300]) ).
thf(zip_derived_cl9_006,plain,
! [X2: $i > $o,X4: $i > $o] :
~ ( ( ( X2 @ '#sk1' )
| ( X4 @ '#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] :
~ ( ( ( X0 @ '#sk1' )
| $true )
& ( ( '#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_cl83,plain,
! [X0: $i > $o] :
~ ( ( ( X0 @ '#sk3' )
| ( (~) @ ( '#sk4' @ '#sk3' ) ) )
& ( !!
@ ^ [Y0: $i] : ( (~) @ ( '#sk4' @ Y0 ) ) ) ),
inference('simplify boolean subterms',[status(thm)],[zip_derived_cl12]) ).
thf(zip_derived_cl84,plain,
! [X0: $o] :
~ ( ( ( ^ [Y0: $i] : X0
@ '#sk3' )
| ( (~) @ ( '#sk4' @ '#sk3' ) ) )
& ( !!
@ ^ [Y0: $i] : ( (~) @ ( '#sk4' @ Y0 ) ) ) ),
inference(prune_arg_fun,[status(thm)],[zip_derived_cl83]) ).
thf(zip_derived_cl85,plain,
! [X0: $o] :
~ ( ( X0
| ( (~) @ ( '#sk4' @ '#sk3' ) ) )
& ( !!
@ ^ [Y0: $i] : ( (~) @ ( '#sk4' @ Y0 ) ) ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl84]) ).
thf(zip_derived_cl86,plain,
! [X0: $o] :
( ~ ( X0
| ( (~) @ ( '#sk4' @ '#sk3' ) ) )
| ~ ( !!
@ ^ [Y0: $i] : ( (~) @ ( '#sk4' @ Y0 ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl85]) ).
thf(zip_derived_cl87,plain,
! [X0: $o] :
( ~ X0
| ~ ( !!
@ ^ [Y0: $i] : ( (~) @ ( '#sk4' @ Y0 ) ) ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl86]) ).
thf(zip_derived_cl89,plain,
~ ( !!
@ ^ [Y0: $i] : ( (~) @ ( '#sk4' @ Y0 ) ) ),
inference(condensation,[status(thm)],[zip_derived_cl87]) ).
thf(zip_derived_cl90,plain,
'#sk4' @ '#sk132',
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl89]) ).
thf(zip_derived_cl26_007,plain,
! [X2: $i > $o] :
( ( '#form23' @ X2 )
| ~ ( ( X2 @ '#sk3' )
| ( (~) @ ( '#sk4' @ '#sk3' ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl27,plain,
! [X2: $i > $o] :
( ~ ( X2 @ '#sk3' )
| ( '#form23' @ X2 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl26]) ).
thf(zip_derived_cl157,plain,
( '#form23'
@ ^ [Y0: $i] : ( '#sk4' @ '#sk132' ) ),
inference('sup-',[status(thm)],[zip_derived_cl90,zip_derived_cl27]) ).
thf(zip_derived_cl90_008,plain,
'#sk4' @ '#sk132',
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl89]) ).
thf(zip_derived_cl160,plain,
( '#form23'
@ ^ [Y0: $i] : $true ),
inference(demod,[status(thm)],[zip_derived_cl157,zip_derived_cl90]) ).
thf(zip_derived_cl931,plain,
! [X0: $i > $o] :
( ( ( X0 @ ( '#sk136' @ X0 ) )
!= ( '#sk4' @ ( '#sk136' @ X0 ) ) )
| ~ ( '#form188' @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl891,zip_derived_cl304,zip_derived_cl160]) ).
thf(zip_derived_cl1365,plain,
~ ( '#form188' @ '#sk4' ),
inference(eq_res,[status(thm)],[zip_derived_cl931]) ).
thf(zip_derived_cl304_009,plain,
'#form188' @ '#sk4',
inference(ho_norm,[status(thm)],[zip_derived_cl300]) ).
thf(zip_derived_cl1386,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl1365,zip_derived_cl304]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : SYO264^5 : TPTP v9.2.0. Released v4.0.0.
% 0.08/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.i76d8zv4x9 true
% 0.13/0.35 % Computer : n014.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 : Wed Oct 1 18:16:24 EDT 2025
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.36 % Number of cores: 8
% 0.13/0.36 % Python version: Python 3.6.8
% 0.13/0.36 % Running in HO mode
% 0.53/0.67 % Total configuration time : 828
% 0.53/0.67 % Estimated wc time : 1656
% 0.53/0.67 % Estimated cpu time (8 cpus) : 207.0
% 0.55/0.74 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.55/0.74 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.55/0.75 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.55/0.75 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.55/0.77 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.56/0.79 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.56/0.79 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.56/0.82 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 8.30/1.78 % Solved by lams/30_sp5.sh.
% 8.30/1.78 % done 80 iterations in 0.852s
% 8.30/1.78 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 8.30/1.78 % SZS output start Refutation
% See solution above
% 8.30/1.79
% 8.30/1.79
% 8.30/1.79 % Terminating...
% 8.66/2.01 % Runner terminated.
% 8.66/2.02 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------