TSTP Solution File: SET752^4 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET752^4 : TPTP v8.1.2. Released v3.6.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.HpO9dVO4I0 true
% Computer : n025.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 Aug 31 16:15:50 EDT 2023
% Result : Theorem 1.65s 0.82s
% Output : Refutation 1.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 22
% Syntax : Number of formulae : 100 ( 22 unt; 10 typ; 0 def)
% Number of atoms : 400 ( 141 equ; 0 cnn)
% Maximal formula atoms : 10 ( 4 avg)
% Number of connectives : 735 ( 93 ~; 146 |; 80 &; 346 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 40 ( 40 >; 0 *; 0 +; 0 <<)
% Number of symbols : 14 ( 10 usr; 8 con; 0-3 aty)
% ( 6 !!; 64 ??; 0 @@+; 0 @@-)
% Number of variables : 138 ( 104 ^; 25 !; 9 ?; 138 :)
% Comments :
%------------------------------------------------------------------------------
thf('#sk1_type',type,
'#sk1': $i > $o ).
thf('#sk8_type',type,
'#sk8': $i ).
thf(union_type,type,
union: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf('#_fresh_sk4_type',type,
'#_fresh_sk4': $i ).
thf('#sk5_type',type,
'#sk5': $i ).
thf('#sk7_type',type,
'#sk7': $i ).
thf('#sk2_type',type,
'#sk2': $i > $o ).
thf(fun_image_type,type,
fun_image: ( $i > $i ) > ( $i > $o ) > $i > $o ).
thf('#form6_type',type,
'#form6': $o ).
thf('#sk3_type',type,
'#sk3': $i > $i ).
thf(fun_image,axiom,
( fun_image
= ( ^ [F: $i > $i,A: $i > $o,Y: $i] :
? [X: $i] :
( ( Y
= ( F @ X ) )
& ( A @ X ) ) ) ) ).
thf('0',plain,
( fun_image
= ( ^ [F: $i > $i,A: $i > $o,Y: $i] :
? [X: $i] :
( ( Y
= ( F @ X ) )
& ( A @ X ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[fun_image]) ).
thf('1',plain,
( fun_image
= ( ^ [V_1: $i > $i,V_2: $i > $o,V_3: $i] :
? [X4: $i] :
( ( V_3
= ( V_1 @ X4 ) )
& ( V_2 @ X4 ) ) ) ),
define([status(thm)]) ).
thf(union,axiom,
( union
= ( ^ [X: $i > $o,Y: $i > $o,U: $i] :
( ( X @ U )
| ( Y @ U ) ) ) ) ).
thf('2',plain,
( union
= ( ^ [X: $i > $o,Y: $i > $o,U: $i] :
( ( X @ U )
| ( Y @ U ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[union]) ).
thf('3',plain,
( union
= ( ^ [V_1: $i > $o,V_2: $i > $o,V_3: $i] :
( ( V_1 @ V_3 )
| ( V_2 @ V_3 ) ) ) ),
define([status(thm)]) ).
thf(thm,conjecture,
! [X: $i > $o,Y: $i > $o,F: $i > $i] :
( ( fun_image @ F @ ( union @ X @ Y ) )
= ( union @ ( fun_image @ F @ X ) @ ( fun_image @ F @ Y ) ) ) ).
thf(zf_stmt_0,conjecture,
! [X4: $i > $o,X6: $i > $o,X8: $i > $i] :
( ( ^ [V_1: $i] :
? [X10: $i] :
( ( ( X6 @ X10 )
| ( X4 @ X10 ) )
& ( V_1
= ( X8 @ X10 ) ) ) )
= ( ^ [V_2: $i] :
( ? [X14: $i] :
( ( X6 @ X14 )
& ( V_2
= ( X8 @ X14 ) ) )
| ? [X12: $i] :
( ( X4 @ X12 )
& ( V_2
= ( X8 @ X12 ) ) ) ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ! [X4: $i > $o,X6: $i > $o,X8: $i > $i] :
( ( ^ [V_1: $i] :
? [X10: $i] :
( ( ( X6 @ X10 )
| ( X4 @ X10 ) )
& ( V_1
= ( X8 @ X10 ) ) ) )
= ( ^ [V_2: $i] :
( ? [X14: $i] :
( ( X6 @ X14 )
& ( V_2
= ( X8 @ X14 ) ) )
| ? [X12: $i] :
( ( X4 @ X12 )
& ( V_2
= ( X8 @ X12 ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl0,plain,
~ ( !!
@ ^ [Y0: $i > $o] :
( !!
@ ^ [Y1: $i > $o] :
( !!
@ ^ [Y2: $i > $i] :
( ( ^ [Y3: $i] :
( ??
@ ^ [Y4: $i] :
( ( ( Y1 @ Y4 )
| ( Y0 @ Y4 ) )
& ( Y3
= ( Y2 @ Y4 ) ) ) ) )
= ( ^ [Y3: $i] :
( ( ??
@ ^ [Y4: $i] :
( ( Y1 @ Y4 )
& ( Y3
= ( Y2 @ Y4 ) ) ) )
| ( ??
@ ^ [Y4: $i] :
( ( Y0 @ Y4 )
& ( Y3
= ( Y2 @ Y4 ) ) ) ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl1,plain,
~ ( !!
@ ^ [Y0: $i > $o] :
( !!
@ ^ [Y1: $i > $i] :
( ( ^ [Y2: $i] :
( ??
@ ^ [Y3: $i] :
( ( ( Y0 @ Y3 )
| ( '#sk1' @ Y3 ) )
& ( Y2
= ( Y1 @ Y3 ) ) ) ) )
= ( ^ [Y2: $i] :
( ( ??
@ ^ [Y3: $i] :
( ( Y0 @ Y3 )
& ( Y2
= ( Y1 @ Y3 ) ) ) )
| ( ??
@ ^ [Y3: $i] :
( ( '#sk1' @ Y3 )
& ( Y2
= ( Y1 @ Y3 ) ) ) ) ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl2,plain,
~ ( !!
@ ^ [Y0: $i > $i] :
( ( ^ [Y1: $i] :
( ??
@ ^ [Y2: $i] :
( ( ( '#sk2' @ Y2 )
| ( '#sk1' @ Y2 ) )
& ( Y1
= ( Y0 @ Y2 ) ) ) ) )
= ( ^ [Y1: $i] :
( ( ??
@ ^ [Y2: $i] :
( ( '#sk2' @ Y2 )
& ( Y1
= ( Y0 @ Y2 ) ) ) )
| ( ??
@ ^ [Y2: $i] :
( ( '#sk1' @ Y2 )
& ( Y1
= ( Y0 @ Y2 ) ) ) ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl3,plain,
( ( ^ [Y0: $i] :
( ??
@ ^ [Y1: $i] :
( ( ( '#sk2' @ Y1 )
| ( '#sk1' @ Y1 ) )
& ( Y0
= ( '#sk3' @ Y1 ) ) ) ) )
!= ( ^ [Y0: $i] :
( ( ??
@ ^ [Y1: $i] :
( ( '#sk2' @ Y1 )
& ( Y0
= ( '#sk3' @ Y1 ) ) ) )
| ( ??
@ ^ [Y1: $i] :
( ( '#sk1' @ Y1 )
& ( Y0
= ( '#sk3' @ Y1 ) ) ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl4,plain,
( ( ^ [Y0: $i] :
( ??
@ ^ [Y1: $i] :
( ( ( '#sk2' @ Y1 )
| ( '#sk1' @ Y1 ) )
& ( Y0
= ( '#sk3' @ Y1 ) ) ) ) )
!= ( ^ [Y0: $i] :
( ( ??
@ ^ [Y1: $i] :
( ( '#sk2' @ Y1 )
& ( Y0
= ( '#sk3' @ Y1 ) ) ) )
| ( ??
@ ^ [Y1: $i] :
( ( '#sk1' @ Y1 )
& ( Y0
= ( '#sk3' @ Y1 ) ) ) ) ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl3]) ).
thf(zip_derived_cl5,plain,
( ( ^ [Y0: $i] :
( ??
@ ^ [Y1: $i] :
( ( ( '#sk2' @ Y1 )
| ( '#sk1' @ Y1 ) )
& ( Y0
= ( '#sk3' @ Y1 ) ) ) )
@ '#_fresh_sk4' )
!= ( ^ [Y0: $i] :
( ( ??
@ ^ [Y1: $i] :
( ( '#sk2' @ Y1 )
& ( Y0
= ( '#sk3' @ Y1 ) ) ) )
| ( ??
@ ^ [Y1: $i] :
( ( '#sk1' @ Y1 )
& ( Y0
= ( '#sk3' @ Y1 ) ) ) ) )
@ '#_fresh_sk4' ) ),
inference(neg_ext_simpl,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl6,plain,
( ( ??
@ ^ [Y0: $i] :
( ( ( '#sk2' @ Y0 )
| ( '#sk1' @ Y0 ) )
& ( '#_fresh_sk4'
= ( '#sk3' @ Y0 ) ) ) )
!= ( ( ??
@ ^ [Y0: $i] :
( ( '#sk2' @ Y0 )
& ( '#_fresh_sk4'
= ( '#sk3' @ Y0 ) ) ) )
| ( ??
@ ^ [Y0: $i] :
( ( '#sk1' @ Y0 )
& ( '#_fresh_sk4'
= ( '#sk3' @ Y0 ) ) ) ) ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl7,plain,
( ( ??
@ ^ [Y0: $i] :
( ( ( '#sk2' @ Y0 )
| ( '#sk1' @ Y0 ) )
& ( '#_fresh_sk4'
= ( '#sk3' @ Y0 ) ) ) )
| ( ??
@ ^ [Y0: $i] :
( ( '#sk2' @ Y0 )
& ( '#_fresh_sk4'
= ( '#sk3' @ Y0 ) ) ) )
| ( ??
@ ^ [Y0: $i] :
( ( '#sk1' @ Y0 )
& ( '#_fresh_sk4'
= ( '#sk3' @ Y0 ) ) ) ) ),
inference(eq_elim,[status(thm)],[zip_derived_cl6]) ).
thf(zip_derived_cl9,plain,
( ( ( ( '#sk2' @ '#sk5' )
| ( '#sk1' @ '#sk5' ) )
& ( '#_fresh_sk4'
= ( '#sk3' @ '#sk5' ) ) )
| ( ??
@ ^ [Y0: $i] :
( ( '#sk2' @ Y0 )
& ( '#_fresh_sk4'
= ( '#sk3' @ Y0 ) ) ) )
| ( ??
@ ^ [Y0: $i] :
( ( '#sk1' @ Y0 )
& ( '#_fresh_sk4'
= ( '#sk3' @ Y0 ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl7]) ).
thf(zip_derived_cl10,plain,
( ( '#sk2' @ '#sk5' )
| ( '#sk1' @ '#sk5' )
| ( ??
@ ^ [Y0: $i] :
( ( '#sk2' @ Y0 )
& ( '#_fresh_sk4'
= ( '#sk3' @ Y0 ) ) ) )
| ( ??
@ ^ [Y0: $i] :
( ( '#sk1' @ Y0 )
& ( '#_fresh_sk4'
= ( '#sk3' @ Y0 ) ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl9]) ).
thf(zip_derived_cl12,plain,
( ~ '#form6'
| ( ??
@ ^ [Y0: $i] :
( ( '#sk2' @ Y0 )
& ( '#_fresh_sk4'
= ( '#sk3' @ Y0 ) ) ) )
| ( ??
@ ^ [Y0: $i] :
( ( '#sk1' @ Y0 )
& ( '#_fresh_sk4'
= ( '#sk3' @ Y0 ) ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl13,plain,
( ( ??
@ ^ [Y0: $i] :
( ( '#sk2' @ Y0 )
& ( '#_fresh_sk4'
= ( '#sk3' @ Y0 ) ) ) )
| ( ??
@ ^ [Y0: $i] :
( ( '#sk1' @ Y0 )
& ( '#_fresh_sk4'
= ( '#sk3' @ Y0 ) ) ) )
| ~ '#form6' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl12]) ).
thf(zip_derived_cl18,plain,
( ( ( '#sk2' @ '#sk7' )
& ( '#_fresh_sk4'
= ( '#sk3' @ '#sk7' ) ) )
| ~ '#form6'
| ( ??
@ ^ [Y0: $i] :
( ( '#sk1' @ Y0 )
& ( '#_fresh_sk4'
= ( '#sk3' @ Y0 ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl13]) ).
thf(zip_derived_cl20,plain,
( ( '#_fresh_sk4'
= ( '#sk3' @ '#sk7' ) )
| ( ??
@ ^ [Y0: $i] :
( ( '#sk1' @ Y0 )
& ( '#_fresh_sk4'
= ( '#sk3' @ Y0 ) ) ) )
| ~ '#form6' ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl18]) ).
thf(zip_derived_cl22,plain,
( ( '#_fresh_sk4'
= ( '#sk3' @ '#sk7' ) )
| ( ??
@ ^ [Y0: $i] :
( ( '#sk1' @ Y0 )
& ( '#_fresh_sk4'
= ( '#sk3' @ Y0 ) ) ) )
| ~ '#form6' ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl20]) ).
thf(zip_derived_cl23,plain,
( ( ( '#sk1' @ '#sk8' )
& ( '#_fresh_sk4'
= ( '#sk3' @ '#sk8' ) ) )
| ~ '#form6'
| ( '#_fresh_sk4'
= ( '#sk3' @ '#sk7' ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl22]) ).
thf(zip_derived_cl27,plain,
( ( '#_fresh_sk4'
= ( '#sk3' @ '#sk8' ) )
| ( '#_fresh_sk4'
= ( '#sk3' @ '#sk7' ) )
| ~ '#form6' ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl23]) ).
thf(zip_derived_cl29,plain,
( ( '#_fresh_sk4'
= ( '#sk3' @ '#sk8' ) )
| ( '#_fresh_sk4'
= ( '#sk3' @ '#sk7' ) )
| ~ '#form6' ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl27]) ).
thf(zip_derived_cl10_001,plain,
( ( '#sk2' @ '#sk5' )
| ( '#sk1' @ '#sk5' )
| ( ??
@ ^ [Y0: $i] :
( ( '#sk2' @ Y0 )
& ( '#_fresh_sk4'
= ( '#sk3' @ Y0 ) ) ) )
| ( ??
@ ^ [Y0: $i] :
( ( '#sk1' @ Y0 )
& ( '#_fresh_sk4'
= ( '#sk3' @ Y0 ) ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl9]) ).
thf(zip_derived_cl12_002,plain,
( ~ '#form6'
| ( ??
@ ^ [Y0: $i] :
( ( '#sk2' @ Y0 )
& ( '#_fresh_sk4'
= ( '#sk3' @ Y0 ) ) ) )
| ( ??
@ ^ [Y0: $i] :
( ( '#sk1' @ Y0 )
& ( '#_fresh_sk4'
= ( '#sk3' @ Y0 ) ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl14,plain,
( '#form6'
| ( '#sk2' @ '#sk5' )
| ( '#sk1' @ '#sk5' ) ),
inference(renaming,[status(thm)],[zip_derived_cl10,zip_derived_cl12]) ).
thf(zip_derived_cl17,plain,
( ( '#sk2' @ '#sk5' )
| ( '#sk1' @ '#sk5' )
| '#form6' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl14]) ).
thf(zip_derived_cl11,plain,
( ( '#_fresh_sk4'
= ( '#sk3' @ '#sk5' ) )
| ( ??
@ ^ [Y0: $i] :
( ( '#sk2' @ Y0 )
& ( '#_fresh_sk4'
= ( '#sk3' @ Y0 ) ) ) )
| ( ??
@ ^ [Y0: $i] :
( ( '#sk1' @ Y0 )
& ( '#_fresh_sk4'
= ( '#sk3' @ Y0 ) ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl9]) ).
thf(zip_derived_cl15,plain,
( ( '#_fresh_sk4'
= ( '#sk3' @ '#sk5' ) )
| ( ??
@ ^ [Y0: $i] :
( ( '#sk2' @ Y0 )
& ( '#_fresh_sk4'
= ( '#sk3' @ Y0 ) ) ) )
| ( ??
@ ^ [Y0: $i] :
( ( '#sk1' @ Y0 )
& ( '#_fresh_sk4'
= ( '#sk3' @ Y0 ) ) ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl11]) ).
thf(zip_derived_cl12_003,plain,
( ~ '#form6'
| ( ??
@ ^ [Y0: $i] :
( ( '#sk2' @ Y0 )
& ( '#_fresh_sk4'
= ( '#sk3' @ Y0 ) ) ) )
| ( ??
@ ^ [Y0: $i] :
( ( '#sk1' @ Y0 )
& ( '#_fresh_sk4'
= ( '#sk3' @ Y0 ) ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl16,plain,
( '#form6'
| ( '#_fresh_sk4'
= ( '#sk3' @ '#sk5' ) ) ),
inference(renaming,[status(thm)],[zip_derived_cl15,zip_derived_cl12]) ).
thf(zip_derived_cl6_004,plain,
( ( ??
@ ^ [Y0: $i] :
( ( ( '#sk2' @ Y0 )
| ( '#sk1' @ Y0 ) )
& ( '#_fresh_sk4'
= ( '#sk3' @ Y0 ) ) ) )
!= ( ( ??
@ ^ [Y0: $i] :
( ( '#sk2' @ Y0 )
& ( '#_fresh_sk4'
= ( '#sk3' @ Y0 ) ) ) )
| ( ??
@ ^ [Y0: $i] :
( ( '#sk1' @ Y0 )
& ( '#_fresh_sk4'
= ( '#sk3' @ Y0 ) ) ) ) ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl8,plain,
( ~ ( ??
@ ^ [Y0: $i] :
( ( ( '#sk2' @ Y0 )
| ( '#sk1' @ Y0 ) )
& ( '#_fresh_sk4'
= ( '#sk3' @ Y0 ) ) ) )
| ~ ( ( ??
@ ^ [Y0: $i] :
( ( '#sk2' @ Y0 )
& ( '#_fresh_sk4'
= ( '#sk3' @ Y0 ) ) ) )
| ( ??
@ ^ [Y0: $i] :
( ( '#sk1' @ Y0 )
& ( '#_fresh_sk4'
= ( '#sk3' @ Y0 ) ) ) ) ) ),
inference(eq_elim,[status(thm)],[zip_derived_cl6]) ).
thf(zip_derived_cl30,plain,
( '#form6'
| ~ ( ( ??
@ ^ [Y0: $i] :
( ( '#sk2' @ Y0 )
& ( '#_fresh_sk4'
= ( '#sk3' @ Y0 ) ) ) )
| ( ??
@ ^ [Y0: $i] :
( ( '#sk1' @ Y0 )
& ( '#_fresh_sk4'
= ( '#sk3' @ Y0 ) ) ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl31,plain,
( ~ ( ??
@ ^ [Y0: $i] :
( ( '#sk2' @ Y0 )
& ( '#_fresh_sk4'
= ( '#sk3' @ Y0 ) ) ) )
| '#form6' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl30]) ).
thf(zip_derived_cl35,plain,
! [X2: $i] :
( ~ ( ( '#sk2' @ X2 )
& ( '#_fresh_sk4'
= ( '#sk3' @ X2 ) ) )
| '#form6' ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl31]) ).
thf(zip_derived_cl38,plain,
! [X2: $i] :
( ~ ( '#sk2' @ X2 )
| ( '#_fresh_sk4'
!= ( '#sk3' @ X2 ) )
| '#form6' ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl35]) ).
thf(zip_derived_cl43,plain,
! [X2: $i] :
( ~ ( '#sk2' @ X2 )
| ( '#_fresh_sk4'
!= ( '#sk3' @ X2 ) )
| '#form6' ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl38]) ).
thf(zip_derived_cl8_005,plain,
( ~ ( ??
@ ^ [Y0: $i] :
( ( ( '#sk2' @ Y0 )
| ( '#sk1' @ Y0 ) )
& ( '#_fresh_sk4'
= ( '#sk3' @ Y0 ) ) ) )
| ~ ( ( ??
@ ^ [Y0: $i] :
( ( '#sk2' @ Y0 )
& ( '#_fresh_sk4'
= ( '#sk3' @ Y0 ) ) ) )
| ( ??
@ ^ [Y0: $i] :
( ( '#sk1' @ Y0 )
& ( '#_fresh_sk4'
= ( '#sk3' @ Y0 ) ) ) ) ) ),
inference(eq_elim,[status(thm)],[zip_derived_cl6]) ).
thf(zip_derived_cl30_006,plain,
( '#form6'
| ~ ( ( ??
@ ^ [Y0: $i] :
( ( '#sk2' @ Y0 )
& ( '#_fresh_sk4'
= ( '#sk3' @ Y0 ) ) ) )
| ( ??
@ ^ [Y0: $i] :
( ( '#sk1' @ Y0 )
& ( '#_fresh_sk4'
= ( '#sk3' @ Y0 ) ) ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl12_007,plain,
( ~ '#form6'
| ( ??
@ ^ [Y0: $i] :
( ( '#sk2' @ Y0 )
& ( '#_fresh_sk4'
= ( '#sk3' @ Y0 ) ) ) )
| ( ??
@ ^ [Y0: $i] :
( ( '#sk1' @ Y0 )
& ( '#_fresh_sk4'
= ( '#sk3' @ Y0 ) ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl33,plain,
( ~ '#form6'
| ~ ( ??
@ ^ [Y0: $i] :
( ( ( '#sk2' @ Y0 )
| ( '#sk1' @ Y0 ) )
& ( '#_fresh_sk4'
= ( '#sk3' @ Y0 ) ) ) ) ),
inference(renaming,[status(thm)],[zip_derived_cl8,zip_derived_cl30,zip_derived_cl12]) ).
thf(zip_derived_cl34,plain,
! [X2: $i] :
( ~ ( ( ( '#sk2' @ X2 )
| ( '#sk1' @ X2 ) )
& ( '#_fresh_sk4'
= ( '#sk3' @ X2 ) ) )
| ~ '#form6' ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl33]) ).
thf(zip_derived_cl37,plain,
! [X2: $i] :
( ~ ( ( '#sk2' @ X2 )
| ( '#sk1' @ X2 ) )
| ( '#_fresh_sk4'
!= ( '#sk3' @ X2 ) )
| ~ '#form6' ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl34]) ).
thf(zip_derived_cl40,plain,
! [X2: $i] :
( ~ ( ( '#sk2' @ X2 )
| ( '#sk1' @ X2 ) )
| ( '#_fresh_sk4'
!= ( '#sk3' @ X2 ) )
| ~ '#form6' ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl37]) ).
thf(zip_derived_cl41,plain,
! [X2: $i] :
( ~ ( '#sk2' @ X2 )
| ~ '#form6'
| ( '#_fresh_sk4'
!= ( '#sk3' @ X2 ) ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl40]) ).
thf(zip_derived_cl61,plain,
! [X2: $i] :
( ( '#_fresh_sk4'
!= ( '#sk3' @ X2 ) )
| ~ ( '#sk2' @ X2 ) ),
inference(clc,[status(thm)],[zip_derived_cl43,zip_derived_cl41]) ).
thf(zip_derived_cl63,plain,
( ( '#_fresh_sk4' != '#_fresh_sk4' )
| '#form6'
| ~ ( '#sk2' @ '#sk5' ) ),
inference('sup-',[status(thm)],[zip_derived_cl16,zip_derived_cl61]) ).
thf(zip_derived_cl67,plain,
( ~ ( '#sk2' @ '#sk5' )
| '#form6' ),
inference(simplify,[status(thm)],[zip_derived_cl63]) ).
thf(zip_derived_cl71,plain,
( '#form6'
| ( '#sk1' @ '#sk5' )
| '#form6' ),
inference('sup-',[status(thm)],[zip_derived_cl17,zip_derived_cl67]) ).
thf(zip_derived_cl74,plain,
( ( '#sk1' @ '#sk5' )
| '#form6' ),
inference(simplify,[status(thm)],[zip_derived_cl71]) ).
thf(zip_derived_cl16_008,plain,
( '#form6'
| ( '#_fresh_sk4'
= ( '#sk3' @ '#sk5' ) ) ),
inference(renaming,[status(thm)],[zip_derived_cl15,zip_derived_cl12]) ).
thf(zip_derived_cl32,plain,
( ~ ( ??
@ ^ [Y0: $i] :
( ( '#sk1' @ Y0 )
& ( '#_fresh_sk4'
= ( '#sk3' @ Y0 ) ) ) )
| '#form6' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl30]) ).
thf(zip_derived_cl36,plain,
! [X2: $i] :
( ~ ( ( '#sk1' @ X2 )
& ( '#_fresh_sk4'
= ( '#sk3' @ X2 ) ) )
| '#form6' ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl32]) ).
thf(zip_derived_cl39,plain,
! [X2: $i] :
( ~ ( '#sk1' @ X2 )
| ( '#_fresh_sk4'
!= ( '#sk3' @ X2 ) )
| '#form6' ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl36]) ).
thf(zip_derived_cl44,plain,
! [X2: $i] :
( ~ ( '#sk1' @ X2 )
| ( '#_fresh_sk4'
!= ( '#sk3' @ X2 ) )
| '#form6' ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl39]) ).
thf(zip_derived_cl42,plain,
! [X2: $i] :
( ~ ( '#sk1' @ X2 )
| ~ '#form6'
| ( '#_fresh_sk4'
!= ( '#sk3' @ X2 ) ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl40]) ).
thf(zip_derived_cl78,plain,
! [X2: $i] :
( ( '#_fresh_sk4'
!= ( '#sk3' @ X2 ) )
| ~ ( '#sk1' @ X2 ) ),
inference(clc,[status(thm)],[zip_derived_cl44,zip_derived_cl42]) ).
thf(zip_derived_cl80,plain,
( ( '#_fresh_sk4' != '#_fresh_sk4' )
| '#form6'
| ~ ( '#sk1' @ '#sk5' ) ),
inference('sup-',[status(thm)],[zip_derived_cl16,zip_derived_cl78]) ).
thf(zip_derived_cl84,plain,
( ~ ( '#sk1' @ '#sk5' )
| '#form6' ),
inference(simplify,[status(thm)],[zip_derived_cl80]) ).
thf(zip_derived_cl95,plain,
'#form6',
inference(clc,[status(thm)],[zip_derived_cl74,zip_derived_cl84]) ).
thf(zip_derived_cl130,plain,
( ( '#_fresh_sk4'
= ( '#sk3' @ '#sk8' ) )
| ( '#_fresh_sk4'
= ( '#sk3' @ '#sk7' ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29,zip_derived_cl95]) ).
thf(zip_derived_cl26,plain,
( ( '#sk1' @ '#sk8' )
| ( '#_fresh_sk4'
= ( '#sk3' @ '#sk7' ) )
| ~ '#form6' ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl23]) ).
thf(zip_derived_cl42_009,plain,
! [X2: $i] :
( ~ ( '#sk1' @ X2 )
| ~ '#form6'
| ( '#_fresh_sk4'
!= ( '#sk3' @ X2 ) ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl40]) ).
thf(zip_derived_cl51,plain,
( ~ '#form6'
| ( '#_fresh_sk4'
= ( '#sk3' @ '#sk7' ) )
| ( '#_fresh_sk4'
!= ( '#sk3' @ '#sk8' ) )
| ~ '#form6' ),
inference('sup-',[status(thm)],[zip_derived_cl26,zip_derived_cl42]) ).
thf(zip_derived_cl57,plain,
( ( '#_fresh_sk4'
!= ( '#sk3' @ '#sk8' ) )
| ( '#_fresh_sk4'
= ( '#sk3' @ '#sk7' ) )
| ~ '#form6' ),
inference(simplify,[status(thm)],[zip_derived_cl51]) ).
thf(zip_derived_cl95_010,plain,
'#form6',
inference(clc,[status(thm)],[zip_derived_cl74,zip_derived_cl84]) ).
thf(zip_derived_cl98,plain,
( ( '#_fresh_sk4'
!= ( '#sk3' @ '#sk8' ) )
| ( '#_fresh_sk4'
= ( '#sk3' @ '#sk7' ) ) ),
inference(demod,[status(thm)],[zip_derived_cl57,zip_derived_cl95]) ).
thf(zip_derived_cl131,plain,
( '#_fresh_sk4'
= ( '#sk3' @ '#sk7' ) ),
inference(clc,[status(thm)],[zip_derived_cl130,zip_derived_cl98]) ).
thf(zip_derived_cl61_011,plain,
! [X2: $i] :
( ( '#_fresh_sk4'
!= ( '#sk3' @ X2 ) )
| ~ ( '#sk2' @ X2 ) ),
inference(clc,[status(thm)],[zip_derived_cl43,zip_derived_cl41]) ).
thf(zip_derived_cl133,plain,
( ( '#_fresh_sk4' != '#_fresh_sk4' )
| ~ ( '#sk2' @ '#sk7' ) ),
inference('sup-',[status(thm)],[zip_derived_cl131,zip_derived_cl61]) ).
thf(zip_derived_cl19,plain,
( ( '#sk2' @ '#sk7' )
| ( ??
@ ^ [Y0: $i] :
( ( '#sk1' @ Y0 )
& ( '#_fresh_sk4'
= ( '#sk3' @ Y0 ) ) ) )
| ~ '#form6' ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl18]) ).
thf(zip_derived_cl21,plain,
( ( ( '#sk1' @ '#sk8' )
& ( '#_fresh_sk4'
= ( '#sk3' @ '#sk8' ) ) )
| ~ '#form6'
| ( '#sk2' @ '#sk7' ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl19]) ).
thf(zip_derived_cl24,plain,
( ( '#sk1' @ '#sk8' )
| ( '#sk2' @ '#sk7' )
| ~ '#form6' ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl21]) ).
thf(zip_derived_cl42_012,plain,
! [X2: $i] :
( ~ ( '#sk1' @ X2 )
| ~ '#form6'
| ( '#_fresh_sk4'
!= ( '#sk3' @ X2 ) ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl40]) ).
thf(zip_derived_cl52,plain,
( ~ '#form6'
| ( '#sk2' @ '#sk7' )
| ( '#_fresh_sk4'
!= ( '#sk3' @ '#sk8' ) )
| ~ '#form6' ),
inference('sup-',[status(thm)],[zip_derived_cl24,zip_derived_cl42]) ).
thf(zip_derived_cl58,plain,
( ( '#_fresh_sk4'
!= ( '#sk3' @ '#sk8' ) )
| ( '#sk2' @ '#sk7' )
| ~ '#form6' ),
inference(simplify,[status(thm)],[zip_derived_cl52]) ).
thf(zip_derived_cl95_013,plain,
'#form6',
inference(clc,[status(thm)],[zip_derived_cl74,zip_derived_cl84]) ).
thf(zip_derived_cl125,plain,
( ( '#_fresh_sk4'
!= ( '#sk3' @ '#sk8' ) )
| ( '#sk2' @ '#sk7' ) ),
inference(demod,[status(thm)],[zip_derived_cl58,zip_derived_cl95]) ).
thf(zip_derived_cl25,plain,
( ( '#_fresh_sk4'
= ( '#sk3' @ '#sk8' ) )
| ( '#sk2' @ '#sk7' )
| ~ '#form6' ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl21]) ).
thf(zip_derived_cl28,plain,
( ( '#_fresh_sk4'
= ( '#sk3' @ '#sk8' ) )
| ( '#sk2' @ '#sk7' )
| ~ '#form6' ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl25]) ).
thf(zip_derived_cl95_014,plain,
'#form6',
inference(clc,[status(thm)],[zip_derived_cl74,zip_derived_cl84]) ).
thf(zip_derived_cl99,plain,
( ( '#_fresh_sk4'
= ( '#sk3' @ '#sk8' ) )
| ( '#sk2' @ '#sk7' ) ),
inference(demod,[status(thm)],[zip_derived_cl28,zip_derived_cl95]) ).
thf(zip_derived_cl126,plain,
'#sk2' @ '#sk7',
inference(clc,[status(thm)],[zip_derived_cl125,zip_derived_cl99]) ).
thf(zip_derived_cl137,plain,
'#_fresh_sk4' != '#_fresh_sk4',
inference(demod,[status(thm)],[zip_derived_cl133,zip_derived_cl126]) ).
thf(zip_derived_cl138,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl137]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET752^4 : TPTP v8.1.2. Released v3.6.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.HpO9dVO4I0 true
% 0.12/0.34 % Computer : n025.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Sat Aug 26 15:09:38 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.12/0.34 % Running portfolio for 300 s
% 0.12/0.34 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.34 % Number of cores: 8
% 0.20/0.35 % Python version: Python 3.6.8
% 0.20/0.35 % Running in HO mode
% 0.21/0.66 % Total configuration time : 828
% 0.21/0.66 % Estimated wc time : 1656
% 0.21/0.66 % Estimated cpu time (8 cpus) : 207.0
% 0.21/0.71 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.21/0.74 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.21/0.74 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.21/0.75 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.21/0.75 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.21/0.75 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.21/0.75 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 0.21/0.75 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 1.65/0.82 % Solved by lams/20_acsne_simpl.sh.
% 1.65/0.82 % done 36 iterations in 0.046s
% 1.65/0.82 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.65/0.82 % SZS output start Refutation
% See solution above
% 1.65/0.82
% 1.65/0.82
% 1.65/0.82 % Terminating...
% 2.11/0.87 % Runner terminated.
% 2.11/0.88 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------