%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU969^5 : TPTP v9.2.0. Bugfixed v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.4phjITqKMu true
% Computer : n021.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 04:56:56 PM UTC 2025
% Result : Theorem 1.31s 0.83s
% Output : Refutation 1.31s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 10
% Syntax : Number of formulae : 80 ( 14 unt; 0 typ; 0 def)
% Number of atoms : 232 ( 6 equ; 0 cnn)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 1102 ( 84 ~; 76 |; 64 &; 714 @)
% ( 0 <=>; 95 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 8 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 65 ( 65 >; 0 *; 0 +; 0 <<)
% Number of symbols : 14 ( 11 usr; 6 con; 0-2 aty)
% ( 69 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 251 ( 199 ^; 52 !; 0 ?; 251 :)
% Comments :
%------------------------------------------------------------------------------
thf('#form23_type',type,
'#form23': $o ).
thf('#sk24_type',type,
'#sk24': $i > $o ).
thf('#sk1_type',type,
'#sk1': $i ).
thf(c1_type,type,
c1: $i ).
thf('#sk2_type',type,
'#sk2': $i ).
thf(cCKB6_BLACK_type,type,
cCKB6_BLACK: $i > $i > $o ).
thf('#sk22_type',type,
'#sk22': ( $i > $i > $o ) > $i ).
thf('#sk34_type',type,
'#sk34': ( $i > $i > $o ) > $i ).
thf(cCKB6_NUM_type,type,
cCKB6_NUM: $i > $o ).
thf('#sk9_type',type,
'#sk9': $i > $o ).
thf(s_type,type,
s: $i > $i ).
thf(cCKB6_NUM_def,axiom,
( cCKB6_NUM
= ( ^ [Xx: $i] :
! [Xp: $i > $o] :
( ( ( Xp @ c1 )
& ! [Xw: $i] :
( ( Xp @ Xw )
=> ( Xp @ ( s @ Xw ) ) ) )
=> ( Xp @ Xx ) ) ) ) ).
thf('0',plain,
( cCKB6_NUM
= ( ^ [Xx: $i] :
! [Xp: $i > $o] :
( ( ( Xp @ c1 )
& ! [Xw: $i] :
( ( Xp @ Xw )
=> ( Xp @ ( s @ Xw ) ) ) )
=> ( Xp @ Xx ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[cCKB6_NUM_def]) ).
thf('1',plain,
( cCKB6_NUM
= ( ^ [V_1: $i] :
! [X4: $i > $o] :
( ( ( X4 @ c1 )
& ! [X6: $i] :
( ( X4 @ X6 )
=> ( X4 @ ( s @ X6 ) ) ) )
=> ( X4 @ V_1 ) ) ) ),
define([status(thm)]) ).
thf(cCKB6_BLACK_def,axiom,
( cCKB6_BLACK
= ( ^ [Xu: $i,Xv: $i] :
! [Xw: $i > $i > $o] :
( ( ( Xw @ c1 @ c1 )
& ! [Xj: $i,Xk: $i] :
( ( Xw @ Xj @ Xk )
=> ( ( Xw @ ( s @ ( s @ Xj ) ) @ Xk )
& ( Xw @ ( s @ Xj ) @ ( s @ Xk ) ) ) ) )
=> ( Xw @ Xu @ Xv ) ) ) ) ).
thf('2',plain,
( cCKB6_BLACK
= ( ^ [Xu: $i,Xv: $i] :
! [Xw: $i > $i > $o] :
( ( ( Xw @ c1 @ c1 )
& ! [Xj: $i,Xk: $i] :
( ( Xw @ Xj @ Xk )
=> ( ( Xw @ ( s @ ( s @ Xj ) ) @ Xk )
& ( Xw @ ( s @ Xj ) @ ( s @ Xk ) ) ) ) )
=> ( Xw @ Xu @ Xv ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[cCKB6_BLACK_def]) ).
thf('3',plain,
( cCKB6_BLACK
= ( ^ [V_1: $i,V_2: $i] :
! [X4: $i > $i > $o] :
( ( ( X4 @ c1 @ c1 )
& ! [X6: $i,X8: $i] :
( ( X4 @ X6 @ X8 )
=> ( ( X4 @ ( s @ ( s @ X6 ) ) @ X8 )
& ( X4 @ ( s @ X6 ) @ ( s @ X8 ) ) ) ) )
=> ( X4 @ V_1 @ V_2 ) ) ) ),
define([status(thm)]) ).
thf(cCKB6_L6000_pme,conjecture,
! [Xx: $i,Xy: $i] :
( ( cCKB6_BLACK @ Xx @ Xy )
=> ( ( cCKB6_NUM @ Xx )
& ( cCKB6_NUM @ Xy ) ) ) ).
thf(zf_stmt_0,conjecture,
! [X4: $i,X6: $i] :
( ! [X8: $i > $i > $o] :
( ( ! [X10: $i,X12: $i] :
( ( X8 @ X10 @ X12 )
=> ( ( X8 @ ( s @ X10 ) @ ( s @ X12 ) )
& ( X8 @ ( s @ ( s @ X10 ) ) @ X12 ) ) )
& ( X8 @ c1 @ c1 ) )
=> ( X8 @ X4 @ X6 ) )
=> ( ! [X18: $i > $o] :
( ( ! [X20: $i] :
( ( X18 @ X20 )
=> ( X18 @ ( s @ X20 ) ) )
& ( X18 @ c1 ) )
=> ( X18 @ X6 ) )
& ! [X14: $i > $o] :
( ( ! [X16: $i] :
( ( X14 @ X16 )
=> ( X14 @ ( s @ X16 ) ) )
& ( X14 @ c1 ) )
=> ( X14 @ X4 ) ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ! [X4: $i,X6: $i] :
( ! [X8: $i > $i > $o] :
( ( ! [X10: $i,X12: $i] :
( ( X8 @ X10 @ X12 )
=> ( ( X8 @ ( s @ X10 ) @ ( s @ X12 ) )
& ( X8 @ ( s @ ( s @ X10 ) ) @ X12 ) ) )
& ( X8 @ c1 @ c1 ) )
=> ( X8 @ X4 @ X6 ) )
=> ( ! [X18: $i > $o] :
( ( ! [X20: $i] :
( ( X18 @ X20 )
=> ( X18 @ ( s @ X20 ) ) )
& ( X18 @ c1 ) )
=> ( X18 @ X6 ) )
& ! [X14: $i > $o] :
( ( ! [X16: $i] :
( ( X14 @ X16 )
=> ( X14 @ ( s @ X16 ) ) )
& ( X14 @ c1 ) )
=> ( X14 @ X4 ) ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl0,plain,
~ ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( !!
@ ^ [Y2: $i > $i > $o] :
( ( ( !!
@ ^ [Y3: $i] :
( !!
@ ^ [Y4: $i] :
( ( Y2 @ Y3 @ Y4 )
=> ( ( Y2 @ ( s @ Y3 ) @ ( s @ Y4 ) )
& ( Y2 @ ( s @ ( s @ Y3 ) ) @ Y4 ) ) ) ) )
& ( Y2 @ c1 @ c1 ) )
=> ( Y2 @ Y0 @ Y1 ) ) )
=> ( ( !!
@ ^ [Y2: $i > $o] :
( ( ( !!
@ ^ [Y3: $i] :
( ( Y2 @ Y3 )
=> ( Y2 @ ( s @ Y3 ) ) ) )
& ( Y2 @ c1 ) )
=> ( Y2 @ Y1 ) ) )
& ( !!
@ ^ [Y2: $i > $o] :
( ( ( !!
@ ^ [Y3: $i] :
( ( Y2 @ Y3 )
=> ( Y2 @ ( s @ Y3 ) ) ) )
& ( Y2 @ c1 ) )
=> ( Y2 @ Y0 ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl1,plain,
~ ( !!
@ ^ [Y0: $i] :
( ( !!
@ ^ [Y1: $i > $i > $o] :
( ( ( !!
@ ^ [Y2: $i] :
( !!
@ ^ [Y3: $i] :
( ( Y1 @ Y2 @ Y3 )
=> ( ( Y1 @ ( s @ Y2 ) @ ( s @ Y3 ) )
& ( Y1 @ ( s @ ( s @ Y2 ) ) @ Y3 ) ) ) ) )
& ( Y1 @ c1 @ c1 ) )
=> ( Y1 @ '#sk1' @ Y0 ) ) )
=> ( ( !!
@ ^ [Y1: $i > $o] :
( ( ( !!
@ ^ [Y2: $i] :
( ( Y1 @ Y2 )
=> ( Y1 @ ( s @ Y2 ) ) ) )
& ( Y1 @ c1 ) )
=> ( Y1 @ Y0 ) ) )
& ( !!
@ ^ [Y1: $i > $o] :
( ( ( !!
@ ^ [Y2: $i] :
( ( Y1 @ Y2 )
=> ( Y1 @ ( s @ Y2 ) ) ) )
& ( Y1 @ c1 ) )
=> ( Y1 @ '#sk1' ) ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl2,plain,
~ ( ( !!
@ ^ [Y0: $i > $i > $o] :
( ( ( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( Y0 @ Y1 @ Y2 )
=> ( ( Y0 @ ( s @ Y1 ) @ ( s @ Y2 ) )
& ( Y0 @ ( s @ ( s @ Y1 ) ) @ Y2 ) ) ) ) )
& ( Y0 @ c1 @ c1 ) )
=> ( Y0 @ '#sk1' @ '#sk2' ) ) )
=> ( ( !!
@ ^ [Y0: $i > $o] :
( ( ( !!
@ ^ [Y1: $i] :
( ( Y0 @ Y1 )
=> ( Y0 @ ( s @ Y1 ) ) ) )
& ( Y0 @ c1 ) )
=> ( Y0 @ '#sk2' ) ) )
& ( !!
@ ^ [Y0: $i > $o] :
( ( ( !!
@ ^ [Y1: $i] :
( ( Y0 @ Y1 )
=> ( Y0 @ ( s @ Y1 ) ) ) )
& ( Y0 @ c1 ) )
=> ( Y0 @ '#sk1' ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl4,plain,
~ ( ( !!
@ ^ [Y0: $i > $o] :
( ( ( !!
@ ^ [Y1: $i] :
( ( Y0 @ Y1 )
=> ( Y0 @ ( s @ Y1 ) ) ) )
& ( Y0 @ c1 ) )
=> ( Y0 @ '#sk2' ) ) )
& ( !!
@ ^ [Y0: $i > $o] :
( ( ( !!
@ ^ [Y1: $i] :
( ( Y0 @ Y1 )
=> ( Y0 @ ( s @ Y1 ) ) ) )
& ( Y0 @ c1 ) )
=> ( Y0 @ '#sk1' ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl6,plain,
( ~ ( !!
@ ^ [Y0: $i > $o] :
( ( ( !!
@ ^ [Y1: $i] :
( ( Y0 @ Y1 )
=> ( Y0 @ ( s @ Y1 ) ) ) )
& ( Y0 @ c1 ) )
=> ( Y0 @ '#sk2' ) ) )
| ~ ( !!
@ ^ [Y0: $i > $o] :
( ( ( !!
@ ^ [Y1: $i] :
( ( Y0 @ Y1 )
=> ( Y0 @ ( s @ Y1 ) ) ) )
& ( Y0 @ c1 ) )
=> ( Y0 @ '#sk1' ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl8,plain,
( ~ ( ( ( !!
@ ^ [Y0: $i] :
( ( '#sk9' @ Y0 )
=> ( '#sk9' @ ( s @ Y0 ) ) ) )
& ( '#sk9' @ c1 ) )
=> ( '#sk9' @ '#sk2' ) )
| ~ ( !!
@ ^ [Y0: $i > $o] :
( ( ( !!
@ ^ [Y1: $i] :
( ( Y0 @ Y1 )
=> ( Y0 @ ( s @ Y1 ) ) ) )
& ( Y0 @ c1 ) )
=> ( Y0 @ '#sk1' ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl6]) ).
thf(zip_derived_cl11,plain,
( ~ ( '#sk9' @ '#sk2' )
| ~ ( !!
@ ^ [Y0: $i > $o] :
( ( ( !!
@ ^ [Y1: $i] :
( ( Y0 @ Y1 )
=> ( Y0 @ ( s @ Y1 ) ) ) )
& ( Y0 @ c1 ) )
=> ( Y0 @ '#sk1' ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl8]) ).
thf(zip_derived_cl15,plain,
( '#form23'
| ~ ( !!
@ ^ [Y0: $i > $o] :
( ( ( !!
@ ^ [Y1: $i] :
( ( Y0 @ Y1 )
=> ( Y0 @ ( s @ Y1 ) ) ) )
& ( Y0 @ c1 ) )
=> ( Y0 @ '#sk1' ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl16,plain,
( ~ ( ( ( !!
@ ^ [Y0: $i] :
( ( '#sk24' @ Y0 )
=> ( '#sk24' @ ( s @ Y0 ) ) ) )
& ( '#sk24' @ c1 ) )
=> ( '#sk24' @ '#sk1' ) )
| '#form23' ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl15]) ).
thf(zip_derived_cl21,plain,
( ( ( !!
@ ^ [Y0: $i] :
( ( '#sk24' @ Y0 )
=> ( '#sk24' @ ( s @ Y0 ) ) ) )
& ( '#sk24' @ c1 ) )
| '#form23' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl16]) ).
thf(zip_derived_cl26,plain,
( ( !!
@ ^ [Y0: $i] :
( ( '#sk24' @ Y0 )
=> ( '#sk24' @ ( s @ Y0 ) ) ) )
| '#form23' ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl21]) ).
thf(zip_derived_cl30,plain,
! [X2: $i] :
( ( ( '#sk24' @ X2 )
=> ( '#sk24' @ ( s @ X2 ) ) )
| '#form23' ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl26]) ).
thf(zip_derived_cl31,plain,
! [X2: $i] :
( ~ ( '#sk24' @ X2 )
| ( '#sk24' @ ( s @ X2 ) )
| '#form23' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl30]) ).
thf(zip_derived_cl10,plain,
( ( ( !!
@ ^ [Y0: $i] :
( ( '#sk9' @ Y0 )
=> ( '#sk9' @ ( s @ Y0 ) ) ) )
& ( '#sk9' @ c1 ) )
| ~ ( !!
@ ^ [Y0: $i > $o] :
( ( ( !!
@ ^ [Y1: $i] :
( ( Y0 @ Y1 )
=> ( Y0 @ ( s @ Y1 ) ) ) )
& ( Y0 @ c1 ) )
=> ( Y0 @ '#sk1' ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl8]) ).
thf(zip_derived_cl14,plain,
( ( '#sk9' @ c1 )
| ~ ( !!
@ ^ [Y0: $i > $o] :
( ( ( !!
@ ^ [Y1: $i] :
( ( Y0 @ Y1 )
=> ( Y0 @ ( s @ Y1 ) ) ) )
& ( Y0 @ c1 ) )
=> ( Y0 @ '#sk1' ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl10]) ).
thf(zip_derived_cl15_001,plain,
( '#form23'
| ~ ( !!
@ ^ [Y0: $i > $o] :
( ( ( !!
@ ^ [Y1: $i] :
( ( Y0 @ Y1 )
=> ( Y0 @ ( s @ Y1 ) ) ) )
& ( Y0 @ c1 ) )
=> ( Y0 @ '#sk1' ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl20,plain,
( ~ '#form23'
| ( '#sk9' @ c1 ) ),
inference(renaming,[status(thm)],[zip_derived_cl14,zip_derived_cl15]) ).
thf(zip_derived_cl3,plain,
( !!
@ ^ [Y0: $i > $i > $o] :
( ( ( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( Y0 @ Y1 @ Y2 )
=> ( ( Y0 @ ( s @ Y1 ) @ ( s @ Y2 ) )
& ( Y0 @ ( s @ ( s @ Y1 ) ) @ Y2 ) ) ) ) )
& ( Y0 @ c1 @ c1 ) )
=> ( Y0 @ '#sk1' @ '#sk2' ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl5,plain,
! [X2: $i > $i > $o] :
( ( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( X2 @ Y0 @ Y1 )
=> ( ( X2 @ ( s @ Y0 ) @ ( s @ Y1 ) )
& ( X2 @ ( s @ ( s @ Y0 ) ) @ Y1 ) ) ) ) )
& ( X2 @ c1 @ c1 ) )
=> ( X2 @ '#sk1' @ '#sk2' ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl3]) ).
thf(zip_derived_cl7,plain,
! [X2: $i > $i > $o] :
( ~ ( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( X2 @ Y0 @ Y1 )
=> ( ( X2 @ ( s @ Y0 ) @ ( s @ Y1 ) )
& ( X2 @ ( s @ ( s @ Y0 ) ) @ Y1 ) ) ) ) )
& ( X2 @ c1 @ c1 ) )
| ( X2 @ '#sk1' @ '#sk2' ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl9,plain,
! [X2: $i > $i > $o] :
( ~ ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( X2 @ Y0 @ Y1 )
=> ( ( X2 @ ( s @ Y0 ) @ ( s @ Y1 ) )
& ( X2 @ ( s @ ( s @ Y0 ) ) @ Y1 ) ) ) ) )
| ~ ( X2 @ c1 @ c1 )
| ( X2 @ '#sk1' @ '#sk2' ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl7]) ).
thf(zip_derived_cl12,plain,
! [X2: $i > $i > $o] :
( ~ ( !!
@ ^ [Y0: $i] :
( ( X2 @ ( '#sk22' @ X2 ) @ Y0 )
=> ( ( X2 @ ( s @ ( '#sk22' @ X2 ) ) @ ( s @ Y0 ) )
& ( X2 @ ( s @ ( s @ ( '#sk22' @ X2 ) ) ) @ Y0 ) ) ) )
| ( X2 @ '#sk1' @ '#sk2' )
| ~ ( X2 @ c1 @ c1 ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl9]) ).
thf(zip_derived_cl18,plain,
! [X2: $i > $i > $o] :
( ~ ( ( X2 @ ( '#sk22' @ X2 ) @ ( '#sk34' @ X2 ) )
=> ( ( X2 @ ( s @ ( '#sk22' @ X2 ) ) @ ( s @ ( '#sk34' @ X2 ) ) )
& ( X2 @ ( s @ ( s @ ( '#sk22' @ X2 ) ) ) @ ( '#sk34' @ X2 ) ) ) )
| ~ ( X2 @ c1 @ c1 )
| ( X2 @ '#sk1' @ '#sk2' ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl12]) ).
thf(zip_derived_cl24,plain,
! [X2: $i > $i > $o] :
( ~ ( ( X2 @ ( s @ ( '#sk22' @ X2 ) ) @ ( s @ ( '#sk34' @ X2 ) ) )
& ( X2 @ ( s @ ( s @ ( '#sk22' @ X2 ) ) ) @ ( '#sk34' @ X2 ) ) )
| ( X2 @ '#sk1' @ '#sk2' )
| ~ ( X2 @ c1 @ c1 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl18]) ).
thf(zip_derived_cl28,plain,
! [X2: $i > $i > $o] :
( ~ ( X2 @ ( s @ ( '#sk22' @ X2 ) ) @ ( s @ ( '#sk34' @ X2 ) ) )
| ~ ( X2 @ ( s @ ( s @ ( '#sk22' @ X2 ) ) ) @ ( '#sk34' @ X2 ) )
| ~ ( X2 @ c1 @ c1 )
| ( X2 @ '#sk1' @ '#sk2' ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl24]) ).
thf(zip_derived_cl92,plain,
( ~ '#form23'
| ( ^ [Y0: $i,Y1: $i] :
( '#sk9'
@ ( ^ [Y2: $i,Y3: $i] : Y3
@ Y0
@ Y1 ) )
@ '#sk1'
@ '#sk2' )
| ~ ( ^ [Y0: $i,Y1: $i] :
( '#sk9'
@ ( ^ [Y2: $i,Y3: $i] : Y3
@ Y0
@ Y1 ) )
@ ( s
@ ( s
@ ( '#sk22'
@ ^ [Y0: $i,Y1: $i] :
( '#sk9'
@ ( ^ [Y2: $i,Y3: $i] : Y3
@ Y0
@ Y1 ) ) ) ) )
@ ( '#sk34'
@ ^ [Y0: $i,Y1: $i] :
( '#sk9'
@ ( ^ [Y2: $i,Y3: $i] : Y3
@ Y0
@ Y1 ) ) ) )
| ~ ( ^ [Y0: $i,Y1: $i] :
( '#sk9'
@ ( ^ [Y2: $i,Y3: $i] : Y3
@ Y0
@ Y1 ) )
@ ( s
@ ( '#sk22'
@ ^ [Y0: $i,Y1: $i] :
( '#sk9'
@ ( ^ [Y2: $i,Y3: $i] : Y3
@ Y0
@ Y1 ) ) ) )
@ ( s
@ ( '#sk34'
@ ^ [Y0: $i,Y1: $i] :
( '#sk9'
@ ( ^ [Y2: $i,Y3: $i] : Y3
@ Y0
@ Y1 ) ) ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl20,zip_derived_cl28]) ).
thf(zip_derived_cl99,plain,
( ~ '#form23'
| ( '#sk9' @ '#sk2' )
| ~ ( '#sk9'
@ ( '#sk34'
@ ^ [Y0: $i] : '#sk9' ) )
| ~ ( '#sk9'
@ ( s
@ ( '#sk34'
@ ^ [Y0: $i] : '#sk9' ) ) ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl92]) ).
thf(zip_derived_cl11_002,plain,
( ~ ( '#sk9' @ '#sk2' )
| ~ ( !!
@ ^ [Y0: $i > $o] :
( ( ( !!
@ ^ [Y1: $i] :
( ( Y0 @ Y1 )
=> ( Y0 @ ( s @ Y1 ) ) ) )
& ( Y0 @ c1 ) )
=> ( Y0 @ '#sk1' ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl8]) ).
thf(zip_derived_cl15_003,plain,
( '#form23'
| ~ ( !!
@ ^ [Y0: $i > $o] :
( ( ( !!
@ ^ [Y1: $i] :
( ( Y0 @ Y1 )
=> ( Y0 @ ( s @ Y1 ) ) ) )
& ( Y0 @ c1 ) )
=> ( Y0 @ '#sk1' ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl17,plain,
( ~ '#form23'
| ~ ( '#sk9' @ '#sk2' ) ),
inference(renaming,[status(thm)],[zip_derived_cl11,zip_derived_cl15]) ).
thf(zip_derived_cl104,plain,
( ~ ( '#sk9'
@ ( s
@ ( '#sk34'
@ ^ [Y0: $i] : '#sk9' ) ) )
| ~ ( '#sk9'
@ ( '#sk34'
@ ^ [Y0: $i] : '#sk9' ) )
| ~ '#form23' ),
inference(clc,[status(thm)],[zip_derived_cl99,zip_derived_cl17]) ).
thf(zip_derived_cl13,plain,
( ( !!
@ ^ [Y0: $i] :
( ( '#sk9' @ Y0 )
=> ( '#sk9' @ ( s @ Y0 ) ) ) )
| ~ ( !!
@ ^ [Y0: $i > $o] :
( ( ( !!
@ ^ [Y1: $i] :
( ( Y0 @ Y1 )
=> ( Y0 @ ( s @ Y1 ) ) ) )
& ( Y0 @ c1 ) )
=> ( Y0 @ '#sk1' ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl10]) ).
thf(zip_derived_cl15_004,plain,
( '#form23'
| ~ ( !!
@ ^ [Y0: $i > $o] :
( ( ( !!
@ ^ [Y1: $i] :
( ( Y0 @ Y1 )
=> ( Y0 @ ( s @ Y1 ) ) ) )
& ( Y0 @ c1 ) )
=> ( Y0 @ '#sk1' ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl19,plain,
( ~ '#form23'
| ( !!
@ ^ [Y0: $i] :
( ( '#sk9' @ Y0 )
=> ( '#sk9' @ ( s @ Y0 ) ) ) ) ),
inference(renaming,[status(thm)],[zip_derived_cl13,zip_derived_cl15]) ).
thf(zip_derived_cl25,plain,
! [X2: $i] :
( ( ( '#sk9' @ X2 )
=> ( '#sk9' @ ( s @ X2 ) ) )
| ~ '#form23' ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl19]) ).
thf(zip_derived_cl29,plain,
! [X2: $i] :
( ~ ( '#sk9' @ X2 )
| ( '#sk9' @ ( s @ X2 ) )
| ~ '#form23' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl25]) ).
thf(zip_derived_cl105,plain,
( ~ '#form23'
| ~ ( '#sk9'
@ ( '#sk34'
@ ^ [Y0: $i] : '#sk9' ) ) ),
inference(clc,[status(thm)],[zip_derived_cl104,zip_derived_cl29]) ).
thf(zip_derived_cl20_005,plain,
( ~ '#form23'
| ( '#sk9' @ c1 ) ),
inference(renaming,[status(thm)],[zip_derived_cl14,zip_derived_cl15]) ).
thf(zip_derived_cl23,plain,
! [X2: $i > $i > $o] :
( ( X2 @ ( '#sk22' @ X2 ) @ ( '#sk34' @ X2 ) )
| ( X2 @ '#sk1' @ '#sk2' )
| ~ ( X2 @ c1 @ c1 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl18]) ).
thf(zip_derived_cl47,plain,
( ~ '#form23'
| ( ^ [Y0: $i,Y1: $i] :
( '#sk9'
@ ( ^ [Y2: $i,Y3: $i] : Y3
@ Y0
@ Y1 ) )
@ '#sk1'
@ '#sk2' )
| ( ^ [Y0: $i,Y1: $i] :
( '#sk9'
@ ( ^ [Y2: $i,Y3: $i] : Y3
@ Y0
@ Y1 ) )
@ ( '#sk22'
@ ^ [Y0: $i,Y1: $i] :
( '#sk9'
@ ( ^ [Y2: $i,Y3: $i] : Y3
@ Y0
@ Y1 ) ) )
@ ( '#sk34'
@ ^ [Y0: $i,Y1: $i] :
( '#sk9'
@ ( ^ [Y2: $i,Y3: $i] : Y3
@ Y0
@ Y1 ) ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl20,zip_derived_cl23]) ).
thf(zip_derived_cl53,plain,
( ~ '#form23'
| ( '#sk9' @ '#sk2' )
| ( '#sk9'
@ ( '#sk34'
@ ^ [Y0: $i] : '#sk9' ) ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl47]) ).
thf(zip_derived_cl17_006,plain,
( ~ '#form23'
| ~ ( '#sk9' @ '#sk2' ) ),
inference(renaming,[status(thm)],[zip_derived_cl11,zip_derived_cl15]) ).
thf(zip_derived_cl63,plain,
( ( '#sk9'
@ ( '#sk34'
@ ^ [Y0: $i] : '#sk9' ) )
| ~ '#form23' ),
inference(clc,[status(thm)],[zip_derived_cl53,zip_derived_cl17]) ).
thf(zip_derived_cl106,plain,
~ '#form23',
inference(clc,[status(thm)],[zip_derived_cl105,zip_derived_cl63]) ).
thf(zip_derived_cl109,plain,
! [X2: $i] :
( ~ ( '#sk24' @ X2 )
| ( '#sk24' @ ( s @ X2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl31,zip_derived_cl106]) ).
thf(zip_derived_cl109_007,plain,
! [X2: $i] :
( ~ ( '#sk24' @ X2 )
| ( '#sk24' @ ( s @ X2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl31,zip_derived_cl106]) ).
thf(zip_derived_cl109_008,plain,
! [X2: $i] :
( ~ ( '#sk24' @ X2 )
| ( '#sk24' @ ( s @ X2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl31,zip_derived_cl106]) ).
thf(zip_derived_cl27,plain,
( ( '#sk24' @ c1 )
| '#form23' ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl21]) ).
thf(zip_derived_cl106_009,plain,
~ '#form23',
inference(clc,[status(thm)],[zip_derived_cl105,zip_derived_cl63]) ).
thf(zip_derived_cl108,plain,
'#sk24' @ c1,
inference(demod,[status(thm)],[zip_derived_cl27,zip_derived_cl106]) ).
thf(zip_derived_cl28_010,plain,
! [X2: $i > $i > $o] :
( ~ ( X2 @ ( s @ ( '#sk22' @ X2 ) ) @ ( s @ ( '#sk34' @ X2 ) ) )
| ~ ( X2 @ ( s @ ( s @ ( '#sk22' @ X2 ) ) ) @ ( '#sk34' @ X2 ) )
| ~ ( X2 @ c1 @ c1 )
| ( X2 @ '#sk1' @ '#sk2' ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl24]) ).
thf(zip_derived_cl121,plain,
( ( ^ [Y0: $i,Y1: $i] :
( '#sk24'
@ ( ^ [Y2: $i,Y3: $i] : Y2
@ Y0
@ Y1 ) )
@ '#sk1'
@ '#sk2' )
| ~ ( ^ [Y0: $i,Y1: $i] :
( '#sk24'
@ ( ^ [Y2: $i,Y3: $i] : Y2
@ Y0
@ Y1 ) )
@ ( s
@ ( s
@ ( '#sk22'
@ ^ [Y0: $i,Y1: $i] :
( '#sk24'
@ ( ^ [Y2: $i,Y3: $i] : Y2
@ Y0
@ Y1 ) ) ) ) )
@ ( '#sk34'
@ ^ [Y0: $i,Y1: $i] :
( '#sk24'
@ ( ^ [Y2: $i,Y3: $i] : Y2
@ Y0
@ Y1 ) ) ) )
| ~ ( ^ [Y0: $i,Y1: $i] :
( '#sk24'
@ ( ^ [Y2: $i,Y3: $i] : Y2
@ Y0
@ Y1 ) )
@ ( s
@ ( '#sk22'
@ ^ [Y0: $i,Y1: $i] :
( '#sk24'
@ ( ^ [Y2: $i,Y3: $i] : Y2
@ Y0
@ Y1 ) ) ) )
@ ( s
@ ( '#sk34'
@ ^ [Y0: $i,Y1: $i] :
( '#sk24'
@ ( ^ [Y2: $i,Y3: $i] : Y2
@ Y0
@ Y1 ) ) ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl108,zip_derived_cl28]) ).
thf(zip_derived_cl125,plain,
( ( '#sk24' @ '#sk1' )
| ~ ( '#sk24'
@ ( s
@ ( s
@ ( '#sk22'
@ ^ [Y0: $i,Y1: $i] : ( '#sk24' @ Y0 ) ) ) ) )
| ~ ( '#sk24'
@ ( s
@ ( '#sk22'
@ ^ [Y0: $i,Y1: $i] : ( '#sk24' @ Y0 ) ) ) ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl121]) ).
thf(zip_derived_cl22,plain,
( ~ ( '#sk24' @ '#sk1' )
| '#form23' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl16]) ).
thf(zip_derived_cl106_011,plain,
~ '#form23',
inference(clc,[status(thm)],[zip_derived_cl105,zip_derived_cl63]) ).
thf(zip_derived_cl107,plain,
~ ( '#sk24' @ '#sk1' ),
inference(demod,[status(thm)],[zip_derived_cl22,zip_derived_cl106]) ).
thf(zip_derived_cl126,plain,
( ~ ( '#sk24'
@ ( s
@ ( s
@ ( '#sk22'
@ ^ [Y0: $i,Y1: $i] : ( '#sk24' @ Y0 ) ) ) ) )
| ~ ( '#sk24'
@ ( s
@ ( '#sk22'
@ ^ [Y0: $i,Y1: $i] : ( '#sk24' @ Y0 ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl125,zip_derived_cl107]) ).
thf(zip_derived_cl135,plain,
( ~ ( '#sk24'
@ ( '#sk22'
@ ^ [Y0: $i,Y1: $i] : ( '#sk24' @ Y0 ) ) )
| ~ ( '#sk24'
@ ( s
@ ( s
@ ( '#sk22'
@ ^ [Y0: $i,Y1: $i] : ( '#sk24' @ Y0 ) ) ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl109,zip_derived_cl126]) ).
thf(zip_derived_cl27_012,plain,
( ( '#sk24' @ c1 )
| '#form23' ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl21]) ).
thf(zip_derived_cl23_013,plain,
! [X2: $i > $i > $o] :
( ( X2 @ ( '#sk22' @ X2 ) @ ( '#sk34' @ X2 ) )
| ( X2 @ '#sk1' @ '#sk2' )
| ~ ( X2 @ c1 @ c1 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl18]) ).
thf(zip_derived_cl44,plain,
( '#form23'
| ( ^ [Y0: $i,Y1: $i] :
( '#sk24'
@ ( ^ [Y2: $i,Y3: $i] : Y2
@ Y0
@ Y1 ) )
@ '#sk1'
@ '#sk2' )
| ( ^ [Y0: $i,Y1: $i] :
( '#sk24'
@ ( ^ [Y2: $i,Y3: $i] : Y2
@ Y0
@ Y1 ) )
@ ( '#sk22'
@ ^ [Y0: $i,Y1: $i] :
( '#sk24'
@ ( ^ [Y2: $i,Y3: $i] : Y2
@ Y0
@ Y1 ) ) )
@ ( '#sk34'
@ ^ [Y0: $i,Y1: $i] :
( '#sk24'
@ ( ^ [Y2: $i,Y3: $i] : Y2
@ Y0
@ Y1 ) ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl27,zip_derived_cl23]) ).
thf(zip_derived_cl50,plain,
( '#form23'
| ( '#sk24' @ '#sk1' )
| ( '#sk24'
@ ( '#sk22'
@ ^ [Y0: $i,Y1: $i] : ( '#sk24' @ Y0 ) ) ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl44]) ).
thf(zip_derived_cl22_014,plain,
( ~ ( '#sk24' @ '#sk1' )
| '#form23' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl16]) ).
thf(zip_derived_cl66,plain,
( ( '#sk24'
@ ( '#sk22'
@ ^ [Y0: $i,Y1: $i] : ( '#sk24' @ Y0 ) ) )
| '#form23' ),
inference(clc,[status(thm)],[zip_derived_cl50,zip_derived_cl22]) ).
thf(zip_derived_cl106_015,plain,
~ '#form23',
inference(clc,[status(thm)],[zip_derived_cl105,zip_derived_cl63]) ).
thf(zip_derived_cl116,plain,
( '#sk24'
@ ( '#sk22'
@ ^ [Y0: $i,Y1: $i] : ( '#sk24' @ Y0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl66,zip_derived_cl106]) ).
thf(zip_derived_cl146,plain,
~ ( '#sk24'
@ ( s
@ ( s
@ ( '#sk22'
@ ^ [Y0: $i,Y1: $i] : ( '#sk24' @ Y0 ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl135,zip_derived_cl116]) ).
thf(zip_derived_cl147,plain,
~ ( '#sk24'
@ ( s
@ ( '#sk22'
@ ^ [Y0: $i,Y1: $i] : ( '#sk24' @ Y0 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl109,zip_derived_cl146]) ).
thf(zip_derived_cl148,plain,
~ ( '#sk24'
@ ( '#sk22'
@ ^ [Y0: $i,Y1: $i] : ( '#sk24' @ Y0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl109,zip_derived_cl147]) ).
thf(zip_derived_cl116_016,plain,
( '#sk24'
@ ( '#sk22'
@ ^ [Y0: $i,Y1: $i] : ( '#sk24' @ Y0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl66,zip_derived_cl106]) ).
thf(zip_derived_cl149,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl148,zip_derived_cl116]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : SEU969^5 : TPTP v9.2.0. Bugfixed v5.2.0.
% 0.00/0.11 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.4phjITqKMu true
% 0.10/0.30 % Computer : n021.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 300
% 0.10/0.30 % DateTime : Wed Oct 1 16:11:53 EDT 2025
% 0.10/0.31 % CPUTime :
% 0.10/0.31 % Running portfolio for 300 s
% 0.10/0.31 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.31 % Number of cores: 8
% 0.10/0.31 % Python version: Python 3.6.8
% 0.10/0.31 % Running in HO mode
% 0.53/0.58 % Total configuration time : 828
% 0.53/0.58 % Estimated wc time : 1656
% 0.53/0.58 % Estimated cpu time (8 cpus) : 207.0
% 0.91/0.68 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.91/0.68 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.91/0.68 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.91/0.68 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.91/0.68 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.91/0.69 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.91/0.70 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 1.31/0.70 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 1.31/0.83 % Solved by lams/20_acsne_simpl.sh.
% 1.31/0.83 % done 46 iterations in 0.091s
% 1.31/0.83 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.31/0.83 % SZS output start Refutation
% See solution above
% 1.31/0.83
% 1.31/0.83
% 1.31/0.83 % Terminating...
% 1.51/0.98 % Runner terminated.
% 1.51/0.99 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------