%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU498^1 : TPTP v9.2.0. Released v3.6.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.vHT1WNXMj9 true
% Computer : n017.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 04:54:48 PM UTC 2025
% Result : Theorem 0.54s 0.84s
% Output : Refutation 0.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 19
% Syntax : Number of formulae : 87 ( 30 unt; 0 typ; 0 def)
% Number of atoms : 423 ( 125 equ; 21 cnn)
% Maximal formula atoms : 29 ( 4 avg)
% Number of connectives : 1005 ( 171 ~; 50 |; 141 &; 498 @)
% ( 0 <=>; 63 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 44 ( 44 >; 0 *; 0 +; 0 <<)
% Number of symbols : 17 ( 13 usr; 9 con; 0-2 aty)
% ( 82 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 175 ( 102 ^; 73 !; 0 ?; 175 :)
% Comments :
%------------------------------------------------------------------------------
thf('#sk2_type',type,
'#sk2': $i ).
thf(so_type,type,
so: ( $i > $i > $o ) > $o ).
thf(antisymm_type,type,
antisymm: ( $i > $i > $o ) > $o ).
thf('#sk4_type',type,
'#sk4': $i ).
thf('#sk1_type',type,
'#sk1': $i > $i > $o ).
thf(refl_type,type,
refl: ( $i > $i > $o ) > $o ).
thf('#sk3_type',type,
'#sk3': $i ).
thf(trans_type,type,
trans: ( $i > $i > $o ) > $o ).
thf(po_type,type,
po: ( $i > $i > $o ) > $o ).
thf('#sk7_type',type,
'#sk7': $i ).
thf(asymm_type,type,
asymm: ( $i > $i > $o ) > $o ).
thf('#sk6_type',type,
'#sk6': $i ).
thf('#form5_type',type,
'#form5': $o ).
thf(strict_order,axiom,
( so
= ( ^ [R: $i > $i > $o] :
( ( asymm @ R )
& ( trans @ R ) ) ) ) ).
thf(transitive,axiom,
( trans
= ( ^ [R: $i > $i > $o] :
! [X: $i,Y: $i,Z: $i] :
( ( ( R @ X @ Y )
& ( R @ Y @ Z ) )
=> ( R @ X @ Z ) ) ) ) ).
thf('0',plain,
( trans
= ( ^ [R: $i > $i > $o] :
! [X: $i,Y: $i,Z: $i] :
( ( ( R @ X @ Y )
& ( R @ Y @ Z ) )
=> ( R @ X @ Z ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[transitive]) ).
thf('1',plain,
( trans
= ( ^ [V_1: $i > $i > $o] :
! [X4: $i,X6: $i,X8: $i] :
( ( ( V_1 @ X4 @ X6 )
& ( V_1 @ X6 @ X8 ) )
=> ( V_1 @ X4 @ X8 ) ) ) ),
define([status(thm)]) ).
thf(asymmetric,axiom,
( asymm
= ( ^ [R: $i > $i > $o] :
! [X: $i,Y: $i] :
( ( R @ X @ Y )
=> ~ ( R @ Y @ X ) ) ) ) ).
thf('2',plain,
( asymm
= ( ^ [R: $i > $i > $o] :
! [X: $i,Y: $i] :
( ( R @ X @ Y )
=> ~ ( R @ Y @ X ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[asymmetric]) ).
thf('3',plain,
( asymm
= ( ^ [V_1: $i > $i > $o] :
! [X4: $i,X6: $i] :
( ( V_1 @ X4 @ X6 )
=> ~ ( V_1 @ X6 @ X4 ) ) ) ),
define([status(thm)]) ).
thf('4',plain,
( so
= ( ^ [R: $i > $i > $o] :
( ( asymm @ R )
& ( trans @ R ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[strict_order,'1','3']) ).
thf('5',plain,
( so
= ( ^ [V_1: $i > $i > $o] :
( ( asymm @ V_1 )
& ( trans @ V_1 ) ) ) ),
define([status(thm)]) ).
thf(partial_order,axiom,
( po
= ( ^ [R: $i > $i > $o] :
( ( refl @ R )
& ( antisymm @ R )
& ( trans @ R ) ) ) ) ).
thf(antisymmetric,axiom,
( antisymm
= ( ^ [R: $i > $i > $o] :
! [X: $i,Y: $i] :
( ( ( R @ X @ Y )
& ( R @ Y @ X ) )
=> ( X = Y ) ) ) ) ).
thf('6',plain,
( antisymm
= ( ^ [R: $i > $i > $o] :
! [X: $i,Y: $i] :
( ( ( R @ X @ Y )
& ( R @ Y @ X ) )
=> ( X = Y ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[antisymmetric]) ).
thf('7',plain,
( antisymm
= ( ^ [V_1: $i > $i > $o] :
! [X4: $i,X6: $i] :
( ( ( V_1 @ X4 @ X6 )
& ( V_1 @ X6 @ X4 ) )
=> ( X4 = X6 ) ) ) ),
define([status(thm)]) ).
thf(reflexive,axiom,
( refl
= ( ^ [R: $i > $i > $o] :
! [X: $i] : ( R @ X @ X ) ) ) ).
thf('8',plain,
( refl
= ( ^ [R: $i > $i > $o] :
! [X: $i] : ( R @ X @ X ) ) ),
inference(simplify_rw_rule,[status(thm)],[reflexive]) ).
thf('9',plain,
( refl
= ( ^ [V_1: $i > $i > $o] :
! [X4: $i] : ( V_1 @ X4 @ X4 ) ) ),
define([status(thm)]) ).
thf('10',plain,
( po
= ( ^ [R: $i > $i > $o] :
( ( refl @ R )
& ( antisymm @ R )
& ( trans @ R ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[partial_order,'1','7','9']) ).
thf('11',plain,
( po
= ( ^ [V_1: $i > $i > $o] :
( ( refl @ V_1 )
& ( antisymm @ V_1 )
& ( trans @ V_1 ) ) ) ),
define([status(thm)]) ).
thf(partial_order_induces_strict_order,conjecture,
! [R: $i > $i > $o] :
( ( po @ R )
=> ( so
@ ^ [X: $i,Y: $i] :
( ( R @ X @ Y )
& ( X != Y ) ) ) ) ).
thf(zf_stmt_0,conjecture,
! [X4: $i > $i > $o] :
( ( ! [X12: $i,X14: $i,X16: $i] :
( ( ( X4 @ X14 @ X16 )
& ( X4 @ X12 @ X14 ) )
=> ( X4 @ X12 @ X16 ) )
& ! [X8: $i,X10: $i] :
( ( ( X4 @ X10 @ X8 )
& ( X4 @ X8 @ X10 ) )
=> ( X8 = X10 ) )
& ! [X6: $i] : ( X4 @ X6 @ X6 ) )
=> ( ! [X22: $i,X24: $i,X26: $i] :
( ( ( X24 != X26 )
& ( X4 @ X24 @ X26 )
& ( X22 != X24 )
& ( X4 @ X22 @ X24 ) )
=> ( ( X22 != X26 )
& ( X4 @ X22 @ X26 ) ) )
& ! [X18: $i,X20: $i] :
( ( ( X18 != X20 )
& ( X4 @ X18 @ X20 ) )
=> ~ ( ( X20 != X18 )
& ( X4 @ X20 @ X18 ) ) ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ! [X4: $i > $i > $o] :
( ( ! [X12: $i,X14: $i,X16: $i] :
( ( ( X4 @ X14 @ X16 )
& ( X4 @ X12 @ X14 ) )
=> ( X4 @ X12 @ X16 ) )
& ! [X8: $i,X10: $i] :
( ( ( X4 @ X10 @ X8 )
& ( X4 @ X8 @ X10 ) )
=> ( X8 = X10 ) )
& ! [X6: $i] : ( X4 @ X6 @ X6 ) )
=> ( ! [X22: $i,X24: $i,X26: $i] :
( ( ( X24 != X26 )
& ( X4 @ X24 @ X26 )
& ( X22 != X24 )
& ( X4 @ X22 @ X24 ) )
=> ( ( X22 != X26 )
& ( X4 @ X22 @ X26 ) ) )
& ! [X18: $i,X20: $i] :
( ( ( X18 != X20 )
& ( X4 @ X18 @ X20 ) )
=> ~ ( ( X20 != X18 )
& ( X4 @ X20 @ X18 ) ) ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl0,plain,
~ ( !!
@ ^ [Y0: $i > $i > $o] :
( ( ( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( !!
@ ^ [Y3: $i] :
( ( ( Y0 @ Y2 @ Y3 )
& ( Y0 @ Y1 @ Y2 ) )
=> ( Y0 @ Y1 @ Y3 ) ) ) ) )
& ( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( ( Y0 @ Y2 @ Y1 )
& ( Y0 @ Y1 @ Y2 ) )
=> ( Y1 = Y2 ) ) ) )
& ( !!
@ ^ [Y1: $i] : ( Y0 @ Y1 @ Y1 ) ) )
=> ( ( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( !!
@ ^ [Y3: $i] :
( ( ( Y2 != Y3 )
& ( Y0 @ Y2 @ Y3 )
& ( Y1 != Y2 )
& ( Y0 @ Y1 @ Y2 ) )
=> ( ( Y1 != Y3 )
& ( Y0 @ Y1 @ Y3 ) ) ) ) ) )
& ( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( ( Y1 != Y2 )
& ( Y0 @ Y1 @ Y2 ) )
=> ( (~)
@ ( ( Y2 != Y1 )
& ( Y0 @ Y2 @ Y1 ) ) ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl1,plain,
~ ( ( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( ( '#sk1' @ Y1 @ Y2 )
& ( '#sk1' @ Y0 @ Y1 ) )
=> ( '#sk1' @ Y0 @ Y2 ) ) ) ) )
& ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( ( '#sk1' @ Y1 @ Y0 )
& ( '#sk1' @ Y0 @ Y1 ) )
=> ( Y0 = Y1 ) ) ) )
& ( !!
@ ^ [Y0: $i] : ( '#sk1' @ Y0 @ Y0 ) ) )
=> ( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( ( Y1 != Y2 )
& ( '#sk1' @ Y1 @ Y2 )
& ( Y0 != Y1 )
& ( '#sk1' @ Y0 @ Y1 ) )
=> ( ( Y0 != Y2 )
& ( '#sk1' @ Y0 @ Y2 ) ) ) ) ) )
& ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( ( Y0 != Y1 )
& ( '#sk1' @ Y0 @ Y1 ) )
=> ( (~)
@ ( ( Y1 != Y0 )
& ( '#sk1' @ Y1 @ Y0 ) ) ) ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl3,plain,
~ ( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( ( Y1 != Y2 )
& ( '#sk1' @ Y1 @ Y2 )
& ( Y0 != Y1 )
& ( '#sk1' @ Y0 @ Y1 ) )
=> ( ( Y0 != Y2 )
& ( '#sk1' @ Y0 @ Y2 ) ) ) ) ) )
& ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( ( Y0 != Y1 )
& ( '#sk1' @ Y0 @ Y1 ) )
=> ( (~)
@ ( ( Y1 != Y0 )
& ( '#sk1' @ Y1 @ Y0 ) ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl7,plain,
( ~ ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( ( Y1 != Y2 )
& ( '#sk1' @ Y1 @ Y2 )
& ( Y0 != Y1 )
& ( '#sk1' @ Y0 @ Y1 ) )
=> ( ( Y0 != Y2 )
& ( '#sk1' @ Y0 @ Y2 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( ( Y0 != Y1 )
& ( '#sk1' @ Y0 @ Y1 ) )
=> ( (~)
@ ( ( Y1 != Y0 )
& ( '#sk1' @ Y1 @ Y0 ) ) ) ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl3]) ).
thf(zip_derived_cl11,plain,
( ~ ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( ( Y0 != Y1 )
& ( '#sk1' @ Y0 @ Y1 )
& ( '#sk2' != Y0 )
& ( '#sk1' @ '#sk2' @ Y0 ) )
=> ( ( '#sk2' != Y1 )
& ( '#sk1' @ '#sk2' @ Y1 ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( ( Y0 != Y1 )
& ( '#sk1' @ Y0 @ Y1 ) )
=> ( (~)
@ ( ( Y1 != Y0 )
& ( '#sk1' @ Y1 @ Y0 ) ) ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl7]) ).
thf(zip_derived_cl14,plain,
( ~ ( !!
@ ^ [Y0: $i] :
( ( ( '#sk3' != Y0 )
& ( '#sk1' @ '#sk3' @ Y0 )
& ( '#sk2' != '#sk3' )
& ( '#sk1' @ '#sk2' @ '#sk3' ) )
=> ( ( '#sk2' != Y0 )
& ( '#sk1' @ '#sk2' @ Y0 ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( ( Y0 != Y1 )
& ( '#sk1' @ Y0 @ Y1 ) )
=> ( (~)
@ ( ( Y1 != Y0 )
& ( '#sk1' @ Y1 @ Y0 ) ) ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl11]) ).
thf(zip_derived_cl17,plain,
( ~ ( ( ( '#sk3' != '#sk4' )
& ( '#sk1' @ '#sk3' @ '#sk4' )
& ( '#sk2' != '#sk3' )
& ( '#sk1' @ '#sk2' @ '#sk3' ) )
=> ( ( '#sk2' != '#sk4' )
& ( '#sk1' @ '#sk2' @ '#sk4' ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( ( Y0 != Y1 )
& ( '#sk1' @ Y0 @ Y1 ) )
=> ( (~)
@ ( ( Y1 != Y0 )
& ( '#sk1' @ Y1 @ Y0 ) ) ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl14]) ).
thf(zip_derived_cl22,plain,
( ~ ( ( '#sk2' != '#sk4' )
& ( '#sk1' @ '#sk2' @ '#sk4' ) )
| ~ ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( ( Y0 != Y1 )
& ( '#sk1' @ Y0 @ Y1 ) )
=> ( (~)
@ ( ( Y1 != Y0 )
& ( '#sk1' @ Y1 @ Y0 ) ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl17]) ).
thf(zip_derived_cl22_001,plain,
( ~ ( ( '#sk2' != '#sk4' )
& ( '#sk1' @ '#sk2' @ '#sk4' ) )
| ~ ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( ( Y0 != Y1 )
& ( '#sk1' @ Y0 @ Y1 ) )
=> ( (~)
@ ( ( Y1 != Y0 )
& ( '#sk1' @ Y1 @ Y0 ) ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl17]) ).
thf(zip_derived_cl28,plain,
( '#form5'
| ~ ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( ( Y0 != Y1 )
& ( '#sk1' @ Y0 @ Y1 ) )
=> ( (~)
@ ( ( Y1 != Y0 )
& ( '#sk1' @ Y1 @ Y0 ) ) ) ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl30,plain,
( ~ '#form5'
| ~ ( ( '#sk2' != '#sk4' )
& ( '#sk1' @ '#sk2' @ '#sk4' ) ) ),
inference(renaming,[status(thm)],[zip_derived_cl22,zip_derived_cl28]) ).
thf(zip_derived_cl37,plain,
( ~ ( ( '#sk2' != '#sk4' ) )
| ~ ( '#sk1' @ '#sk2' @ '#sk4' )
| ~ '#form5' ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl30]) ).
thf(zip_derived_cl39,plain,
( ( '#sk2' = '#sk4' )
| ~ ( '#sk1' @ '#sk2' @ '#sk4' )
| ~ '#form5' ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl37]) ).
thf(zip_derived_cl28_002,plain,
( '#form5'
| ~ ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( ( Y0 != Y1 )
& ( '#sk1' @ Y0 @ Y1 ) )
=> ( (~)
@ ( ( Y1 != Y0 )
& ( '#sk1' @ Y1 @ Y0 ) ) ) ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl29,plain,
( ~ ( !!
@ ^ [Y0: $i] :
( ( ( '#sk6' != Y0 )
& ( '#sk1' @ '#sk6' @ Y0 ) )
=> ( (~)
@ ( ( Y0 != '#sk6' )
& ( '#sk1' @ Y0 @ '#sk6' ) ) ) ) )
| '#form5' ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl28]) ).
thf(zip_derived_cl38,plain,
( ~ ( ( ( '#sk6' != '#sk7' )
& ( '#sk1' @ '#sk6' @ '#sk7' ) )
=> ( (~)
@ ( ( '#sk7' != '#sk6' )
& ( '#sk1' @ '#sk7' @ '#sk6' ) ) ) )
| '#form5' ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl29]) ).
thf(zip_derived_cl41,plain,
( ( ( '#sk7' != '#sk6' )
& ( '#sk1' @ '#sk7' @ '#sk6' ) )
| '#form5' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl38]) ).
thf(zip_derived_cl45,plain,
( ( '#sk1' @ '#sk7' @ '#sk6' )
| '#form5' ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl41]) ).
thf(zip_derived_cl2,plain,
( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( ( '#sk1' @ Y1 @ Y2 )
& ( '#sk1' @ Y0 @ Y1 ) )
=> ( '#sk1' @ Y0 @ Y2 ) ) ) ) )
& ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( ( '#sk1' @ Y1 @ Y0 )
& ( '#sk1' @ Y0 @ Y1 ) )
=> ( Y0 = Y1 ) ) ) )
& ( !!
@ ^ [Y0: $i] : ( '#sk1' @ Y0 @ Y0 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl5,plain,
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( ( '#sk1' @ Y1 @ Y0 )
& ( '#sk1' @ Y0 @ Y1 ) )
=> ( Y0 = Y1 ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl9,plain,
! [X2: $i] :
( !!
@ ^ [Y0: $i] :
( ( ( '#sk1' @ Y0 @ X2 )
& ( '#sk1' @ X2 @ Y0 ) )
=> ( X2 = Y0 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl13,plain,
! [X2: $i,X4: $i] :
( ( ( '#sk1' @ X4 @ X2 )
& ( '#sk1' @ X2 @ X4 ) )
=> ( X2 = X4 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl9]) ).
thf(zip_derived_cl16,plain,
! [X2: $i,X4: $i] :
( ~ ( ( '#sk1' @ X4 @ X2 )
& ( '#sk1' @ X2 @ X4 ) )
| ( X2 = X4 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl13]) ).
thf(zip_derived_cl19,plain,
! [X2: $i,X4: $i] :
( ~ ( ( '#sk1' @ X4 @ X2 )
& ( '#sk1' @ X2 @ X4 ) )
| ( X2 = X4 ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl16]) ).
thf(zip_derived_cl20,plain,
! [X2: $i,X4: $i] :
( ~ ( '#sk1' @ X4 @ X2 )
| ~ ( '#sk1' @ X2 @ X4 )
| ( X2 = X4 ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl19]) ).
thf(zip_derived_cl48,plain,
( '#form5'
| ( '#sk6' = '#sk7' )
| ~ ( '#sk1' @ '#sk6' @ '#sk7' ) ),
inference('sup-',[status(thm)],[zip_derived_cl45,zip_derived_cl20]) ).
thf(zip_derived_cl40,plain,
( ( ( '#sk6' != '#sk7' )
& ( '#sk1' @ '#sk6' @ '#sk7' ) )
| '#form5' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl38]) ).
thf(zip_derived_cl42,plain,
( ( '#sk6' != '#sk7' )
| '#form5' ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl40]) ).
thf(zip_derived_cl46,plain,
( ( '#sk6' != '#sk7' )
| '#form5' ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl42]) ).
thf(zip_derived_cl83,plain,
( ~ ( '#sk1' @ '#sk6' @ '#sk7' )
| '#form5' ),
inference(clc,[status(thm)],[zip_derived_cl48,zip_derived_cl46]) ).
thf(zip_derived_cl43,plain,
( ( '#sk1' @ '#sk6' @ '#sk7' )
| '#form5' ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl40]) ).
thf(zip_derived_cl84,plain,
'#form5',
inference(clc,[status(thm)],[zip_derived_cl83,zip_derived_cl43]) ).
thf(zip_derived_cl89,plain,
( ( '#sk2' = '#sk4' )
| ~ ( '#sk1' @ '#sk2' @ '#sk4' ) ),
inference(demod,[status(thm)],[zip_derived_cl39,zip_derived_cl84]) ).
thf(zip_derived_cl21,plain,
( ( ( '#sk3' != '#sk4' )
& ( '#sk1' @ '#sk3' @ '#sk4' )
& ( '#sk2' != '#sk3' )
& ( '#sk1' @ '#sk2' @ '#sk3' ) )
| ~ ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( ( Y0 != Y1 )
& ( '#sk1' @ Y0 @ Y1 ) )
=> ( (~)
@ ( ( Y1 != Y0 )
& ( '#sk1' @ Y1 @ Y0 ) ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl17]) ).
thf(zip_derived_cl27,plain,
( ( '#sk1' @ '#sk2' @ '#sk3' )
| ~ ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( ( Y0 != Y1 )
& ( '#sk1' @ Y0 @ Y1 ) )
=> ( (~)
@ ( ( Y1 != Y0 )
& ( '#sk1' @ Y1 @ Y0 ) ) ) ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl21]) ).
thf(zip_derived_cl28_003,plain,
( '#form5'
| ~ ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( ( Y0 != Y1 )
& ( '#sk1' @ Y0 @ Y1 ) )
=> ( (~)
@ ( ( Y1 != Y0 )
& ( '#sk1' @ Y1 @ Y0 ) ) ) ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl36,plain,
( ~ '#form5'
| ( '#sk1' @ '#sk2' @ '#sk3' ) ),
inference(renaming,[status(thm)],[zip_derived_cl27,zip_derived_cl28]) ).
thf(zip_derived_cl84_004,plain,
'#form5',
inference(clc,[status(thm)],[zip_derived_cl83,zip_derived_cl43]) ).
thf(zip_derived_cl88,plain,
'#sk1' @ '#sk2' @ '#sk3',
inference(demod,[status(thm)],[zip_derived_cl36,zip_derived_cl84]) ).
thf(zip_derived_cl25,plain,
( ( '#sk1' @ '#sk3' @ '#sk4' )
| ~ ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( ( Y0 != Y1 )
& ( '#sk1' @ Y0 @ Y1 ) )
=> ( (~)
@ ( ( Y1 != Y0 )
& ( '#sk1' @ Y1 @ Y0 ) ) ) ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl21]) ).
thf(zip_derived_cl28_005,plain,
( '#form5'
| ~ ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( ( Y0 != Y1 )
& ( '#sk1' @ Y0 @ Y1 ) )
=> ( (~)
@ ( ( Y1 != Y0 )
& ( '#sk1' @ Y1 @ Y0 ) ) ) ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl33,plain,
( ~ '#form5'
| ( '#sk1' @ '#sk3' @ '#sk4' ) ),
inference(renaming,[status(thm)],[zip_derived_cl25,zip_derived_cl28]) ).
thf(zip_derived_cl84_006,plain,
'#form5',
inference(clc,[status(thm)],[zip_derived_cl83,zip_derived_cl43]) ).
thf(zip_derived_cl86,plain,
'#sk1' @ '#sk3' @ '#sk4',
inference(demod,[status(thm)],[zip_derived_cl33,zip_derived_cl84]) ).
thf(zip_derived_cl4,plain,
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( ( '#sk1' @ Y1 @ Y2 )
& ( '#sk1' @ Y0 @ Y1 ) )
=> ( '#sk1' @ Y0 @ Y2 ) ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl8,plain,
! [X2: $i] :
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( ( '#sk1' @ Y0 @ Y1 )
& ( '#sk1' @ X2 @ Y0 ) )
=> ( '#sk1' @ X2 @ Y1 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl12,plain,
! [X2: $i,X4: $i] :
( !!
@ ^ [Y0: $i] :
( ( ( '#sk1' @ X4 @ Y0 )
& ( '#sk1' @ X2 @ X4 ) )
=> ( '#sk1' @ X2 @ Y0 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl8]) ).
thf(zip_derived_cl15,plain,
! [X2: $i,X4: $i,X6: $i] :
( ( ( '#sk1' @ X4 @ X6 )
& ( '#sk1' @ X2 @ X4 ) )
=> ( '#sk1' @ X2 @ X6 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl12]) ).
thf(zip_derived_cl18,plain,
! [X2: $i,X4: $i,X6: $i] :
( ~ ( ( '#sk1' @ X4 @ X6 )
& ( '#sk1' @ X2 @ X4 ) )
| ( '#sk1' @ X2 @ X6 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl15]) ).
thf(zip_derived_cl23,plain,
! [X2: $i,X4: $i,X6: $i] :
( ~ ( '#sk1' @ X4 @ X6 )
| ~ ( '#sk1' @ X2 @ X4 )
| ( '#sk1' @ X2 @ X6 ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl18]) ).
thf(zip_derived_cl92,plain,
! [X0: $i] :
( ( '#sk1' @ X0 @ '#sk4' )
| ~ ( '#sk1' @ X0 @ '#sk3' ) ),
inference('sup-',[status(thm)],[zip_derived_cl86,zip_derived_cl23]) ).
thf(zip_derived_cl104,plain,
'#sk1' @ '#sk2' @ '#sk4',
inference('sup-',[status(thm)],[zip_derived_cl88,zip_derived_cl92]) ).
thf(zip_derived_cl108,plain,
'#sk2' = '#sk4',
inference(demod,[status(thm)],[zip_derived_cl89,zip_derived_cl104]) ).
thf(zip_derived_cl36_007,plain,
( ~ '#form5'
| ( '#sk1' @ '#sk2' @ '#sk3' ) ),
inference(renaming,[status(thm)],[zip_derived_cl27,zip_derived_cl28]) ).
thf(zip_derived_cl20_008,plain,
! [X2: $i,X4: $i] :
( ~ ( '#sk1' @ X4 @ X2 )
| ~ ( '#sk1' @ X2 @ X4 )
| ( X2 = X4 ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl19]) ).
thf(zip_derived_cl51,plain,
( ~ '#form5'
| ( '#sk3' = '#sk2' )
| ~ ( '#sk1' @ '#sk3' @ '#sk2' ) ),
inference('sup-',[status(thm)],[zip_derived_cl36,zip_derived_cl20]) ).
thf(zip_derived_cl26,plain,
( ( '#sk2' != '#sk3' )
| ~ ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( ( Y0 != Y1 )
& ( '#sk1' @ Y0 @ Y1 ) )
=> ( (~)
@ ( ( Y1 != Y0 )
& ( '#sk1' @ Y1 @ Y0 ) ) ) ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl21]) ).
thf(zip_derived_cl34,plain,
( ( '#sk2' != '#sk3' )
| ~ ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( ( Y0 != Y1 )
& ( '#sk1' @ Y0 @ Y1 ) )
=> ( (~)
@ ( ( Y1 != Y0 )
& ( '#sk1' @ Y1 @ Y0 ) ) ) ) ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl26]) ).
thf(zip_derived_cl28_009,plain,
( '#form5'
| ~ ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( ( Y0 != Y1 )
& ( '#sk1' @ Y0 @ Y1 ) )
=> ( (~)
@ ( ( Y1 != Y0 )
& ( '#sk1' @ Y1 @ Y0 ) ) ) ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl35,plain,
( ~ '#form5'
| ( '#sk2' != '#sk3' ) ),
inference(renaming,[status(thm)],[zip_derived_cl34,zip_derived_cl28]) ).
thf(zip_derived_cl80,plain,
( ~ ( '#sk1' @ '#sk3' @ '#sk2' )
| ~ '#form5' ),
inference(clc,[status(thm)],[zip_derived_cl51,zip_derived_cl35]) ).
thf(zip_derived_cl84_010,plain,
'#form5',
inference(clc,[status(thm)],[zip_derived_cl83,zip_derived_cl43]) ).
thf(zip_derived_cl91,plain,
~ ( '#sk1' @ '#sk3' @ '#sk2' ),
inference(demod,[status(thm)],[zip_derived_cl80,zip_derived_cl84]) ).
thf(zip_derived_cl114,plain,
~ ( '#sk1' @ '#sk3' @ '#sk4' ),
inference('sup-',[status(thm)],[zip_derived_cl108,zip_derived_cl91]) ).
thf(zip_derived_cl86_011,plain,
'#sk1' @ '#sk3' @ '#sk4',
inference(demod,[status(thm)],[zip_derived_cl33,zip_derived_cl84]) ).
thf(zip_derived_cl121,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl114,zip_derived_cl86]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU498^1 : TPTP v9.2.0. Released v3.6.0.
% 0.03/0.12 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.vHT1WNXMj9 true
% 0.12/0.33 % Computer : n017.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Wed Oct 1 16:08:53 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.33 % Running portfolio for 300 s
% 0.12/0.33 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.33 % Number of cores: 8
% 0.12/0.34 % Python version: Python 3.6.8
% 0.12/0.34 % Running in HO mode
% 0.52/0.65 % Total configuration time : 828
% 0.52/0.65 % Estimated wc time : 1656
% 0.52/0.65 % Estimated cpu time (8 cpus) : 207.0
% 0.53/0.72 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.53/0.73 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.53/0.73 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.53/0.73 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.53/0.73 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.53/0.73 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.53/0.74 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.53/0.74 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 0.54/0.77 % /export/starexec/sandbox2/solver/bin/lams/30_b.l.sh running for 90s
% 0.54/0.84 % Solved by lams/35_full_unif4.sh.
% 0.54/0.84 % done 30 iterations in 0.078s
% 0.54/0.84 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.54/0.84 % SZS output start Refutation
% See solution above
% 0.56/0.84
% 0.56/0.84
% 0.56/0.84 % Terminating...
% 2.33/0.95 % Runner terminated.
% 2.33/0.96 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------