%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU960^5 : 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.ryLpnaW1ZE true
% Computer : n013.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 04:56:55 PM UTC 2025
% Result : Theorem 6.59s 1.62s
% Output : Refutation 6.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 1
% Syntax : Number of formulae : 50 ( 14 unt; 0 typ; 0 def)
% Number of atoms : 109 ( 0 equ; 0 cnn)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 696 ( 33 ~; 30 |; 36 &; 481 @)
% ( 0 <=>; 67 =>; 0 <=; 0 <~>)
% Maximal formula depth : 23 ( 10 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 166 ( 166 >; 0 *; 0 +; 0 <<)
% Number of symbols : 7 ( 5 usr; 2 con; 0-2 aty)
% ( 49 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 232 ( 198 ^; 34 !; 0 ?; 232 :)
% Comments :
%------------------------------------------------------------------------------
thf(a_type,type,
a: $tType ).
thf('#sk15_type',type,
'#sk15': ( ( a > a ) > $o ) > a > a ).
thf('#sk2_type',type,
'#sk2': a > a ).
thf('#sk1_type',type,
'#sk1': a > a ).
thf('#sk4_type',type,
'#sk4': ( a > a ) > $o ).
thf('#sk3_type',type,
'#sk3': a > a ).
thf(cTHM135D_pme,conjecture,
! [Xf: a > a,Xg1: a > a,Xg2: a > a] :
( ( ! [Xp: ( a > a ) > $o] :
( ( ! [Xj: a > a] :
( ( Xp @ Xj )
=> ( Xp
@ ^ [Xx: a] : ( Xf @ ( Xj @ Xx ) ) ) )
& ( Xp @ Xf ) )
=> ( Xp @ Xg2 ) )
& ! [Xp: ( a > a ) > $o] :
( ( ! [Xj: a > a] :
( ( Xp @ Xj )
=> ( Xp
@ ^ [Xx: a] : ( Xf @ ( Xj @ Xx ) ) ) )
& ( Xp @ Xf ) )
=> ( Xp @ Xg1 ) ) )
=> ! [Xp: ( a > a ) > $o] :
( ( ! [Xj: a > a] :
( ( Xp @ Xj )
=> ( Xp
@ ^ [Xx: a] : ( Xf @ ( Xj @ Xx ) ) ) )
& ( Xp @ Xf ) )
=> ( Xp
@ ^ [Xx: a] : ( Xg1 @ ( Xg2 @ Xx ) ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [Xf: a > a,Xg1: a > a,Xg2: a > a] :
( ( ! [Xp: ( a > a ) > $o] :
( ( ! [Xj: a > a] :
( ( Xp @ Xj )
=> ( Xp
@ ^ [Xx: a] : ( Xf @ ( Xj @ Xx ) ) ) )
& ( Xp @ Xf ) )
=> ( Xp @ Xg2 ) )
& ! [Xp: ( a > a ) > $o] :
( ( ! [Xj: a > a] :
( ( Xp @ Xj )
=> ( Xp
@ ^ [Xx: a] : ( Xf @ ( Xj @ Xx ) ) ) )
& ( Xp @ Xf ) )
=> ( Xp @ Xg1 ) ) )
=> ! [Xp: ( a > a ) > $o] :
( ( ! [Xj: a > a] :
( ( Xp @ Xj )
=> ( Xp
@ ^ [Xx: a] : ( Xf @ ( Xj @ Xx ) ) ) )
& ( Xp @ Xf ) )
=> ( Xp
@ ^ [Xx: a] : ( Xg1 @ ( Xg2 @ Xx ) ) ) ) ),
inference('cnf.neg',[status(esa)],[cTHM135D_pme]) ).
thf(zip_derived_cl0,plain,
~ ( !!
@ ^ [Y0: a > a] :
( !!
@ ^ [Y1: a > a] :
( !!
@ ^ [Y2: a > a] :
( ( ( !!
@ ^ [Y3: ( a > a ) > $o] :
( ( ( !!
@ ^ [Y4: a > a] :
( ( Y3 @ Y4 )
=> ( Y3
@ ^ [Y5: a] : ( Y0 @ ( Y4 @ Y5 ) ) ) ) )
& ( Y3 @ Y0 ) )
=> ( Y3 @ Y2 ) ) )
& ( !!
@ ^ [Y3: ( a > a ) > $o] :
( ( ( !!
@ ^ [Y4: a > a] :
( ( Y3 @ Y4 )
=> ( Y3
@ ^ [Y5: a] : ( Y0 @ ( Y4 @ Y5 ) ) ) ) )
& ( Y3 @ Y0 ) )
=> ( Y3 @ Y1 ) ) ) )
=> ( !!
@ ^ [Y3: ( a > a ) > $o] :
( ( ( !!
@ ^ [Y4: a > a] :
( ( Y3 @ Y4 )
=> ( Y3
@ ^ [Y5: a] : ( Y0 @ ( Y4 @ Y5 ) ) ) ) )
& ( Y3 @ Y0 ) )
=> ( Y3
@ ^ [Y4: a] : ( Y1 @ ( Y2 @ Y4 ) ) ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1,plain,
~ ( !!
@ ^ [Y0: a > a] :
( !!
@ ^ [Y1: a > a] :
( ( ( !!
@ ^ [Y2: ( a > a ) > $o] :
( ( ( !!
@ ^ [Y3: a > a] :
( ( Y2 @ Y3 )
=> ( Y2
@ ^ [Y4: a] : ( '#sk1' @ ( Y3 @ Y4 ) ) ) ) )
& ( Y2 @ '#sk1' ) )
=> ( Y2 @ Y1 ) ) )
& ( !!
@ ^ [Y2: ( a > a ) > $o] :
( ( ( !!
@ ^ [Y3: a > a] :
( ( Y2 @ Y3 )
=> ( Y2
@ ^ [Y4: a] : ( '#sk1' @ ( Y3 @ Y4 ) ) ) ) )
& ( Y2 @ '#sk1' ) )
=> ( Y2 @ Y0 ) ) ) )
=> ( !!
@ ^ [Y2: ( a > a ) > $o] :
( ( ( !!
@ ^ [Y3: a > a] :
( ( Y2 @ Y3 )
=> ( Y2
@ ^ [Y4: a] : ( '#sk1' @ ( Y3 @ Y4 ) ) ) ) )
& ( Y2 @ '#sk1' ) )
=> ( Y2
@ ^ [Y3: a] : ( Y0 @ ( Y1 @ Y3 ) ) ) ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl2,plain,
~ ( !!
@ ^ [Y0: a > a] :
( ( ( !!
@ ^ [Y1: ( a > a ) > $o] :
( ( ( !!
@ ^ [Y2: a > a] :
( ( Y1 @ Y2 )
=> ( Y1
@ ^ [Y3: a] : ( '#sk1' @ ( Y2 @ Y3 ) ) ) ) )
& ( Y1 @ '#sk1' ) )
=> ( Y1 @ Y0 ) ) )
& ( !!
@ ^ [Y1: ( a > a ) > $o] :
( ( ( !!
@ ^ [Y2: a > a] :
( ( Y1 @ Y2 )
=> ( Y1
@ ^ [Y3: a] : ( '#sk1' @ ( Y2 @ Y3 ) ) ) ) )
& ( Y1 @ '#sk1' ) )
=> ( Y1 @ '#sk2' ) ) ) )
=> ( !!
@ ^ [Y1: ( a > a ) > $o] :
( ( ( !!
@ ^ [Y2: a > a] :
( ( Y1 @ Y2 )
=> ( Y1
@ ^ [Y3: a] : ( '#sk1' @ ( Y2 @ Y3 ) ) ) ) )
& ( Y1 @ '#sk1' ) )
=> ( Y1
@ ^ [Y2: a] : ( '#sk2' @ ( Y0 @ Y2 ) ) ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl3,plain,
~ ( ( ( !!
@ ^ [Y0: ( a > a ) > $o] :
( ( ( !!
@ ^ [Y1: a > a] :
( ( Y0 @ Y1 )
=> ( Y0
@ ^ [Y2: a] : ( '#sk1' @ ( Y1 @ Y2 ) ) ) ) )
& ( Y0 @ '#sk1' ) )
=> ( Y0 @ '#sk3' ) ) )
& ( !!
@ ^ [Y0: ( a > a ) > $o] :
( ( ( !!
@ ^ [Y1: a > a] :
( ( Y0 @ Y1 )
=> ( Y0
@ ^ [Y2: a] : ( '#sk1' @ ( Y1 @ Y2 ) ) ) ) )
& ( Y0 @ '#sk1' ) )
=> ( Y0 @ '#sk2' ) ) ) )
=> ( !!
@ ^ [Y0: ( a > a ) > $o] :
( ( ( !!
@ ^ [Y1: a > a] :
( ( Y0 @ Y1 )
=> ( Y0
@ ^ [Y2: a] : ( '#sk1' @ ( Y1 @ Y2 ) ) ) ) )
& ( Y0 @ '#sk1' ) )
=> ( Y0
@ ^ [Y1: a] : ( '#sk2' @ ( '#sk3' @ Y1 ) ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl5,plain,
~ ( !!
@ ^ [Y0: ( a > a ) > $o] :
( ( ( !!
@ ^ [Y1: a > a] :
( ( Y0 @ Y1 )
=> ( Y0
@ ^ [Y2: a] : ( '#sk1' @ ( Y1 @ Y2 ) ) ) ) )
& ( Y0 @ '#sk1' ) )
=> ( Y0
@ ^ [Y1: a] : ( '#sk2' @ ( '#sk3' @ Y1 ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl3]) ).
thf(zip_derived_cl8,plain,
~ ( ( ( !!
@ ^ [Y0: a > a] :
( ( '#sk4' @ Y0 )
=> ( '#sk4'
@ ^ [Y1: a] : ( '#sk1' @ ( Y0 @ Y1 ) ) ) ) )
& ( '#sk4' @ '#sk1' ) )
=> ( '#sk4'
@ ^ [Y0: a] : ( '#sk2' @ ( '#sk3' @ Y0 ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl17,plain,
( ( !!
@ ^ [Y0: a > a] :
( ( '#sk4' @ Y0 )
=> ( '#sk4'
@ ^ [Y1: a] : ( '#sk1' @ ( Y0 @ Y1 ) ) ) ) )
& ( '#sk4' @ '#sk1' ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl8]) ).
thf(zip_derived_cl22,plain,
'#sk4' @ '#sk1',
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl17]) ).
thf(zip_derived_cl4,plain,
( ( !!
@ ^ [Y0: ( a > a ) > $o] :
( ( ( !!
@ ^ [Y1: a > a] :
( ( Y0 @ Y1 )
=> ( Y0
@ ^ [Y2: a] : ( '#sk1' @ ( Y1 @ Y2 ) ) ) ) )
& ( Y0 @ '#sk1' ) )
=> ( Y0 @ '#sk3' ) ) )
& ( !!
@ ^ [Y0: ( a > a ) > $o] :
( ( ( !!
@ ^ [Y1: a > a] :
( ( Y0 @ Y1 )
=> ( Y0
@ ^ [Y2: a] : ( '#sk1' @ ( Y1 @ Y2 ) ) ) ) )
& ( Y0 @ '#sk1' ) )
=> ( Y0 @ '#sk2' ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl3]) ).
thf(zip_derived_cl6,plain,
( !!
@ ^ [Y0: ( a > a ) > $o] :
( ( ( !!
@ ^ [Y1: a > a] :
( ( Y0 @ Y1 )
=> ( Y0
@ ^ [Y2: a] : ( '#sk1' @ ( Y1 @ Y2 ) ) ) ) )
& ( Y0 @ '#sk1' ) )
=> ( Y0 @ '#sk3' ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl9,plain,
! [X2: ( a > a ) > $o] :
( ( ( !!
@ ^ [Y0: a > a] :
( ( X2 @ Y0 )
=> ( X2
@ ^ [Y1: a] : ( '#sk1' @ ( Y0 @ Y1 ) ) ) ) )
& ( X2 @ '#sk1' ) )
=> ( X2 @ '#sk3' ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl6]) ).
thf(zip_derived_cl19,plain,
! [X2: ( a > a ) > $o] :
( ~ ( ( !!
@ ^ [Y0: a > a] :
( ( X2 @ Y0 )
=> ( X2
@ ^ [Y1: a] : ( '#sk1' @ ( Y0 @ Y1 ) ) ) ) )
& ( X2 @ '#sk1' ) )
| ( X2 @ '#sk3' ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl9]) ).
thf(zip_derived_cl23,plain,
! [X2: ( a > a ) > $o] :
( ~ ( !!
@ ^ [Y0: a > a] :
( ( X2 @ Y0 )
=> ( X2
@ ^ [Y1: a] : ( '#sk1' @ ( Y0 @ Y1 ) ) ) ) )
| ~ ( X2 @ '#sk1' )
| ( X2 @ '#sk3' ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl19]) ).
thf(zip_derived_cl26,plain,
! [X2: ( a > a ) > $o] :
( ~ ( ( X2 @ ( '#sk15' @ X2 ) )
=> ( X2
@ ^ [Y0: a] : ( '#sk1' @ ( '#sk15' @ X2 @ Y0 ) ) ) )
| ( X2 @ '#sk3' )
| ~ ( X2 @ '#sk1' ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl23]) ).
thf(zip_derived_cl29,plain,
! [X2: ( a > a ) > $o] :
( ( X2 @ ( '#sk15' @ X2 ) )
| ~ ( X2 @ '#sk1' )
| ( X2 @ '#sk3' ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl26]) ).
thf(zip_derived_cl104,plain,
( ( ^ [Y0: a > a] :
( '#sk4'
@ ( ^ [Y1: a > a,Y2: a] :
( Y1
@ ( ^ [Y3: a > a,Y4: a] : Y4
@ Y1
@ Y2 ) )
@ Y0 ) )
@ '#sk3' )
| ( ^ [Y0: a > a] :
( '#sk4'
@ ( ^ [Y1: a > a,Y2: a] :
( Y1
@ ( ^ [Y3: a > a,Y4: a] : Y4
@ Y1
@ Y2 ) )
@ Y0 ) )
@ ( '#sk15'
@ ^ [Y0: a > a] :
( '#sk4'
@ ( ^ [Y1: a > a,Y2: a] :
( Y1
@ ( ^ [Y3: a > a,Y4: a] : Y4
@ Y1
@ Y2 ) )
@ Y0 ) ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl22,zip_derived_cl29]) ).
thf(zip_derived_cl112,plain,
( ( '#sk4' @ '#sk3' )
| ( '#sk4' @ ( '#sk15' @ '#sk4' ) ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl104]) ).
thf(zip_derived_cl21,plain,
( !!
@ ^ [Y0: a > a] :
( ( '#sk4' @ Y0 )
=> ( '#sk4'
@ ^ [Y1: a] : ( '#sk1' @ ( Y0 @ Y1 ) ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl17]) ).
thf(zip_derived_cl25,plain,
! [X2: a > a] :
( ( '#sk4' @ X2 )
=> ( '#sk4'
@ ^ [Y0: a] : ( '#sk1' @ ( X2 @ Y0 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl21]) ).
thf(zip_derived_cl28,plain,
! [X2: a > a] :
( ~ ( '#sk4' @ X2 )
| ( '#sk4'
@ ^ [Y0: a] : ( '#sk1' @ ( X2 @ Y0 ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl25]) ).
thf(zip_derived_cl130,plain,
( ( '#sk4' @ '#sk3' )
| ( '#sk4'
@ ^ [Y0: a] : ( '#sk1' @ ( '#sk15' @ '#sk4' @ Y0 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl112,zip_derived_cl28]) ).
thf(zip_derived_cl22_001,plain,
'#sk4' @ '#sk1',
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl17]) ).
thf(zip_derived_cl30,plain,
! [X2: ( a > a ) > $o] :
( ~ ( X2
@ ^ [Y0: a] : ( '#sk1' @ ( '#sk15' @ X2 @ Y0 ) ) )
| ~ ( X2 @ '#sk1' )
| ( X2 @ '#sk3' ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl26]) ).
thf(zip_derived_cl210,plain,
( ( ^ [Y0: a > a] :
( '#sk4'
@ ( ^ [Y1: a > a,Y2: a] :
( Y1
@ ( ^ [Y3: a > a,Y4: a] : Y4
@ Y1
@ Y2 ) )
@ Y0 ) )
@ '#sk3' )
| ~ ( ^ [Y0: a > a] :
( '#sk4'
@ ( ^ [Y1: a > a,Y2: a] :
( Y1
@ ( ^ [Y3: a > a,Y4: a] : Y4
@ Y1
@ Y2 ) )
@ Y0 ) )
@ ^ [Y0: a] :
( '#sk1'
@ ( '#sk15'
@ ^ [Y1: a > a] :
( '#sk4'
@ ( ^ [Y2: a > a,Y3: a] :
( Y2
@ ( ^ [Y4: a > a,Y5: a] : Y5
@ Y2
@ Y3 ) )
@ Y1 ) )
@ Y0 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl22,zip_derived_cl30]) ).
thf(zip_derived_cl224,plain,
( ( '#sk4' @ '#sk3' )
| ~ ( '#sk4'
@ ^ [Y0: a] : ( '#sk1' @ ( '#sk15' @ '#sk4' @ Y0 ) ) ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl210]) ).
thf(zip_derived_cl379,plain,
'#sk4' @ '#sk3',
inference(clc,[status(thm)],[zip_derived_cl130,zip_derived_cl224]) ).
thf(zip_derived_cl28_002,plain,
! [X2: a > a] :
( ~ ( '#sk4' @ X2 )
| ( '#sk4'
@ ^ [Y0: a] : ( '#sk1' @ ( X2 @ Y0 ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl25]) ).
thf(zip_derived_cl380,plain,
( '#sk4'
@ ^ [Y0: a] : ( '#sk1' @ ( '#sk3' @ Y0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl379,zip_derived_cl28]) ).
thf(zip_derived_cl7,plain,
( !!
@ ^ [Y0: ( a > a ) > $o] :
( ( ( !!
@ ^ [Y1: a > a] :
( ( Y0 @ Y1 )
=> ( Y0
@ ^ [Y2: a] : ( '#sk1' @ ( Y1 @ Y2 ) ) ) ) )
& ( Y0 @ '#sk1' ) )
=> ( Y0 @ '#sk2' ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl13,plain,
! [X2: ( a > a ) > $o] :
( ( ( !!
@ ^ [Y0: a > a] :
( ( X2 @ Y0 )
=> ( X2
@ ^ [Y1: a] : ( '#sk1' @ ( Y0 @ Y1 ) ) ) ) )
& ( X2 @ '#sk1' ) )
=> ( X2 @ '#sk2' ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl7]) ).
thf(zip_derived_cl20,plain,
! [X2: ( a > a ) > $o] :
( ~ ( ( !!
@ ^ [Y0: a > a] :
( ( X2 @ Y0 )
=> ( X2
@ ^ [Y1: a] : ( '#sk1' @ ( Y0 @ Y1 ) ) ) ) )
& ( X2 @ '#sk1' ) )
| ( X2 @ '#sk2' ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl13]) ).
thf(zip_derived_cl24,plain,
! [X2: ( a > a ) > $o] :
( ~ ( !!
@ ^ [Y0: a > a] :
( ( X2 @ Y0 )
=> ( X2
@ ^ [Y1: a] : ( '#sk1' @ ( Y0 @ Y1 ) ) ) ) )
| ~ ( X2 @ '#sk1' )
| ( X2 @ '#sk2' ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl20]) ).
thf(zip_derived_cl27,plain,
! [X2: ( a > a ) > $o] :
( ~ ( ( X2 @ ( '#sk15' @ X2 ) )
=> ( X2
@ ^ [Y0: a] : ( '#sk1' @ ( '#sk15' @ X2 @ Y0 ) ) ) )
| ( X2 @ '#sk2' )
| ~ ( X2 @ '#sk1' ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl24]) ).
thf(zip_derived_cl32,plain,
! [X2: ( a > a ) > $o] :
( ~ ( X2
@ ^ [Y0: a] : ( '#sk1' @ ( '#sk15' @ X2 @ Y0 ) ) )
| ~ ( X2 @ '#sk1' )
| ( X2 @ '#sk2' ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl27]) ).
thf(zip_derived_cl426,plain,
( ( ^ [Y0: a > a] :
( '#sk4'
@ ( ^ [Y1: a > a,Y2: a] :
( Y1
@ ( ^ [Y3: a > a,Y4: a] :
( '#sk3'
@ ( ^ [Y5: a > a,Y6: a] : Y6
@ Y3
@ Y4 ) )
@ Y1
@ Y2 ) )
@ Y0 ) )
@ '#sk2' )
| ~ ( ^ [Y0: a > a] :
( '#sk4'
@ ( ^ [Y1: a > a,Y2: a] :
( Y1
@ ( ^ [Y3: a > a,Y4: a] :
( '#sk3'
@ ( ^ [Y5: a > a,Y6: a] : Y6
@ Y3
@ Y4 ) )
@ Y1
@ Y2 ) )
@ Y0 ) )
@ ^ [Y0: a] :
( '#sk1'
@ ( '#sk15'
@ ^ [Y1: a > a] :
( '#sk4'
@ ( ^ [Y2: a > a,Y3: a] :
( Y2
@ ( ^ [Y4: a > a,Y5: a] :
( '#sk3'
@ ( ^ [Y6: a > a,Y7: a] : Y7
@ Y4
@ Y5 ) )
@ Y2
@ Y3 ) )
@ Y1 ) )
@ Y0 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl380,zip_derived_cl32]) ).
thf(zip_derived_cl442,plain,
( ( '#sk4'
@ ^ [Y0: a] : ( '#sk2' @ ( '#sk3' @ Y0 ) ) )
| ~ ( '#sk4'
@ ^ [Y0: a] :
( '#sk1'
@ ( '#sk15'
@ ^ [Y1: a > a] :
( '#sk4'
@ ^ [Y2: a] : ( Y1 @ ( '#sk3' @ Y2 ) ) )
@ ( '#sk3' @ Y0 ) ) ) ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl426]) ).
thf(zip_derived_cl18,plain,
~ ( '#sk4'
@ ^ [Y0: a] : ( '#sk2' @ ( '#sk3' @ Y0 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl8]) ).
thf(zip_derived_cl443,plain,
~ ( '#sk4'
@ ^ [Y0: a] :
( '#sk1'
@ ( '#sk15'
@ ^ [Y1: a > a] :
( '#sk4'
@ ^ [Y2: a] : ( Y1 @ ( '#sk3' @ Y2 ) ) )
@ ( '#sk3' @ Y0 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl442,zip_derived_cl18]) ).
thf(zip_derived_cl380_003,plain,
( '#sk4'
@ ^ [Y0: a] : ( '#sk1' @ ( '#sk3' @ Y0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl379,zip_derived_cl28]) ).
thf(zip_derived_cl31,plain,
! [X2: ( a > a ) > $o] :
( ( X2 @ ( '#sk15' @ X2 ) )
| ~ ( X2 @ '#sk1' )
| ( X2 @ '#sk2' ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl27]) ).
thf(zip_derived_cl428,plain,
( ( ^ [Y0: a > a] :
( '#sk4'
@ ( ^ [Y1: a > a,Y2: a] :
( Y1
@ ( ^ [Y3: a > a,Y4: a] :
( '#sk3'
@ ( ^ [Y5: a > a,Y6: a] : Y6
@ Y3
@ Y4 ) )
@ Y1
@ Y2 ) )
@ Y0 ) )
@ '#sk2' )
| ( ^ [Y0: a > a] :
( '#sk4'
@ ( ^ [Y1: a > a,Y2: a] :
( Y1
@ ( ^ [Y3: a > a,Y4: a] :
( '#sk3'
@ ( ^ [Y5: a > a,Y6: a] : Y6
@ Y3
@ Y4 ) )
@ Y1
@ Y2 ) )
@ Y0 ) )
@ ( '#sk15'
@ ^ [Y0: a > a] :
( '#sk4'
@ ( ^ [Y1: a > a,Y2: a] :
( Y1
@ ( ^ [Y3: a > a,Y4: a] :
( '#sk3'
@ ( ^ [Y5: a > a,Y6: a] : Y6
@ Y3
@ Y4 ) )
@ Y1
@ Y2 ) )
@ Y0 ) ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl380,zip_derived_cl31]) ).
thf(zip_derived_cl445,plain,
( ( '#sk4'
@ ^ [Y0: a] : ( '#sk2' @ ( '#sk3' @ Y0 ) ) )
| ( '#sk4'
@ ^ [Y0: a] :
( '#sk15'
@ ^ [Y1: a > a] :
( '#sk4'
@ ^ [Y2: a] : ( Y1 @ ( '#sk3' @ Y2 ) ) )
@ ( '#sk3' @ Y0 ) ) ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl428]) ).
thf(zip_derived_cl18_004,plain,
~ ( '#sk4'
@ ^ [Y0: a] : ( '#sk2' @ ( '#sk3' @ Y0 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl8]) ).
thf(zip_derived_cl446,plain,
( '#sk4'
@ ^ [Y0: a] :
( '#sk15'
@ ^ [Y1: a > a] :
( '#sk4'
@ ^ [Y2: a] : ( Y1 @ ( '#sk3' @ Y2 ) ) )
@ ( '#sk3' @ Y0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl445,zip_derived_cl18]) ).
thf(zip_derived_cl28_005,plain,
! [X2: a > a] :
( ~ ( '#sk4' @ X2 )
| ( '#sk4'
@ ^ [Y0: a] : ( '#sk1' @ ( X2 @ Y0 ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl25]) ).
thf(zip_derived_cl685,plain,
( '#sk4'
@ ^ [Y0: a] :
( '#sk1'
@ ( ^ [Y1: a] :
( '#sk15'
@ ^ [Y2: a > a] :
( '#sk4'
@ ^ [Y3: a] : ( Y2 @ ( '#sk3' @ Y3 ) ) )
@ ( '#sk3' @ Y1 ) )
@ Y0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl446,zip_derived_cl28]) ).
thf(zip_derived_cl686,plain,
( '#sk4'
@ ^ [Y0: a] :
( '#sk1'
@ ( '#sk15'
@ ^ [Y1: a > a] :
( '#sk4'
@ ^ [Y2: a] : ( Y1 @ ( '#sk3' @ Y2 ) ) )
@ ( '#sk3' @ Y0 ) ) ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl685]) ).
thf(zip_derived_cl697,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl443,zip_derived_cl686]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SEU960^5 : TPTP v9.2.0. Released v4.0.0.
% 0.11/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.ryLpnaW1ZE true
% 0.13/0.35 % Computer : n013.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 16:10:53 EDT 2025
% 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
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.36 % Running in HO mode
% 0.55/0.65 % Total configuration time : 828
% 0.55/0.65 % Estimated wc time : 1656
% 0.55/0.65 % Estimated cpu time (8 cpus) : 207.0
% 0.56/0.73 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.56/0.73 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.56/0.77 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.56/0.77 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.56/0.77 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.57/0.78 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.57/0.79 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.57/0.86 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 6.59/1.62 % Solved by lams/30_sp5.sh.
% 6.59/1.62 % done 104 iterations in 0.695s
% 6.59/1.62 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 6.59/1.62 % SZS output start Refutation
% See solution above
% 6.59/1.62
% 6.59/1.62
% 6.59/1.62 % Terminating...
% 7.72/1.83 % Runner terminated.
% 7.72/1.83 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------