TSTP Solution File: SET623^3 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET623^3 : 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.wK1E8bcG17 true
% Computer : n018.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 16:15:06 EDT 2023
% Result : Theorem 0.22s 0.80s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 9
% Syntax : Number of formulae : 41 ( 28 unt; 5 typ; 0 def)
% Number of atoms : 385 ( 25 equ; 135 cnn)
% Maximal formula atoms : 4 ( 10 avg)
% Number of connectives : 865 ( 179 ~; 86 |; 162 &; 432 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 29 ( 29 >; 0 *; 0 +; 0 <<)
% Number of symbols : 10 ( 5 usr; 5 con; 0-3 aty)
% ( 6 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 38 ( 29 ^; 9 !; 0 ?; 38 :)
% Comments :
%------------------------------------------------------------------------------
thf('#sk1_type',type,
'#sk1': $i > $o ).
thf(excl_union_type,type,
excl_union: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf('#sk2_type',type,
'#sk2': $i > $o ).
thf('#sk4_type',type,
'#sk4': $i ).
thf('#sk3_type',type,
'#sk3': $i > $o ).
thf(excl_union,axiom,
( excl_union
= ( ^ [X: $i > $o,Y: $i > $o,U: $i] :
( ( ( X @ U )
& ~ ( Y @ U ) )
| ( ~ ( X @ U )
& ( Y @ U ) ) ) ) ) ).
thf('0',plain,
( excl_union
= ( ^ [X: $i > $o,Y: $i > $o,U: $i] :
( ( ( X @ U )
& ~ ( Y @ U ) )
| ( ~ ( X @ U )
& ( Y @ U ) ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[excl_union]) ).
thf('1',plain,
( excl_union
= ( ^ [V_1: $i > $o,V_2: $i > $o,V_3: $i] :
( ( ( V_1 @ V_3 )
& ~ ( V_2 @ V_3 ) )
| ( ~ ( V_1 @ V_3 )
& ( V_2 @ V_3 ) ) ) ) ),
define([status(thm)]) ).
thf(thm,conjecture,
! [X: $i > $o,Y: $i > $o,Z: $i > $o] :
( ( excl_union @ ( excl_union @ X @ Y ) @ Z )
= ( excl_union @ X @ ( excl_union @ Y @ Z ) ) ) ).
thf(zf_stmt_0,conjecture,
! [X4: $i > $o,X6: $i > $o,X8: $i > $o] :
( ( ^ [V_1: $i] :
( ( ( X8 @ V_1 )
& ~ ( ( ( X6 @ V_1 )
& ~ ( X4 @ V_1 ) )
| ( ~ ( X6 @ V_1 )
& ( X4 @ V_1 ) ) ) )
| ( ~ ( X8 @ V_1 )
& ( ( ( X6 @ V_1 )
& ~ ( X4 @ V_1 ) )
| ( ~ ( X6 @ V_1 )
& ( X4 @ V_1 ) ) ) ) ) )
= ( ^ [V_2: $i] :
( ( ( ( ( X8 @ V_2 )
& ~ ( X6 @ V_2 ) )
| ( ~ ( X8 @ V_2 )
& ( X6 @ V_2 ) ) )
& ~ ( X4 @ V_2 ) )
| ( ~ ( ( ( X8 @ V_2 )
& ~ ( X6 @ V_2 ) )
| ( ~ ( X8 @ V_2 )
& ( X6 @ V_2 ) ) )
& ( X4 @ V_2 ) ) ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ! [X4: $i > $o,X6: $i > $o,X8: $i > $o] :
( ( ^ [V_1: $i] :
( ( ( X8 @ V_1 )
& ~ ( ( ( X6 @ V_1 )
& ~ ( X4 @ V_1 ) )
| ( ~ ( X6 @ V_1 )
& ( X4 @ V_1 ) ) ) )
| ( ~ ( X8 @ V_1 )
& ( ( ( X6 @ V_1 )
& ~ ( X4 @ V_1 ) )
| ( ~ ( X6 @ V_1 )
& ( X4 @ V_1 ) ) ) ) ) )
= ( ^ [V_2: $i] :
( ( ( ( ( X8 @ V_2 )
& ~ ( X6 @ V_2 ) )
| ( ~ ( X8 @ V_2 )
& ( X6 @ V_2 ) ) )
& ~ ( X4 @ V_2 ) )
| ( ~ ( ( ( X8 @ V_2 )
& ~ ( X6 @ V_2 ) )
| ( ~ ( X8 @ V_2 )
& ( X6 @ V_2 ) ) )
& ( X4 @ V_2 ) ) ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl0,plain,
~ ( !!
@ ^ [Y0: $i > $o] :
( !!
@ ^ [Y1: $i > $o] :
( !!
@ ^ [Y2: $i > $o] :
( ( ^ [Y3: $i] :
( ( ( Y2 @ Y3 )
& ( (~)
@ ( ( ( Y1 @ Y3 )
& ( (~) @ ( Y0 @ Y3 ) ) )
| ( ( (~) @ ( Y1 @ Y3 ) )
& ( Y0 @ Y3 ) ) ) ) )
| ( ( (~) @ ( Y2 @ Y3 ) )
& ( ( ( Y1 @ Y3 )
& ( (~) @ ( Y0 @ Y3 ) ) )
| ( ( (~) @ ( Y1 @ Y3 ) )
& ( Y0 @ Y3 ) ) ) ) ) )
= ( ^ [Y3: $i] :
( ( ( ( ( Y2 @ Y3 )
& ( (~) @ ( Y1 @ Y3 ) ) )
| ( ( (~) @ ( Y2 @ Y3 ) )
& ( Y1 @ Y3 ) ) )
& ( (~) @ ( Y0 @ Y3 ) ) )
| ( ( (~)
@ ( ( ( Y2 @ Y3 )
& ( (~) @ ( Y1 @ Y3 ) ) )
| ( ( (~) @ ( Y2 @ Y3 ) )
& ( Y1 @ Y3 ) ) ) )
& ( Y0 @ Y3 ) ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl1,plain,
~ ( !!
@ ^ [Y0: $i > $o] :
( !!
@ ^ [Y1: $i > $o] :
( ( ^ [Y2: $i] :
( ( ( Y1 @ Y2 )
& ( (~)
@ ( ( ( Y0 @ Y2 )
& ( (~) @ ( '#sk1' @ Y2 ) ) )
| ( ( (~) @ ( Y0 @ Y2 ) )
& ( '#sk1' @ Y2 ) ) ) ) )
| ( ( (~) @ ( Y1 @ Y2 ) )
& ( ( ( Y0 @ Y2 )
& ( (~) @ ( '#sk1' @ Y2 ) ) )
| ( ( (~) @ ( Y0 @ Y2 ) )
& ( '#sk1' @ Y2 ) ) ) ) ) )
= ( ^ [Y2: $i] :
( ( ( ( ( Y1 @ Y2 )
& ( (~) @ ( Y0 @ Y2 ) ) )
| ( ( (~) @ ( Y1 @ Y2 ) )
& ( Y0 @ Y2 ) ) )
& ( (~) @ ( '#sk1' @ Y2 ) ) )
| ( ( (~)
@ ( ( ( Y1 @ Y2 )
& ( (~) @ ( Y0 @ Y2 ) ) )
| ( ( (~) @ ( Y1 @ Y2 ) )
& ( Y0 @ Y2 ) ) ) )
& ( '#sk1' @ Y2 ) ) ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl2,plain,
~ ( !!
@ ^ [Y0: $i > $o] :
( ( ^ [Y1: $i] :
( ( ( Y0 @ Y1 )
& ( (~)
@ ( ( ( '#sk2' @ Y1 )
& ( (~) @ ( '#sk1' @ Y1 ) ) )
| ( ( (~) @ ( '#sk2' @ Y1 ) )
& ( '#sk1' @ Y1 ) ) ) ) )
| ( ( (~) @ ( Y0 @ Y1 ) )
& ( ( ( '#sk2' @ Y1 )
& ( (~) @ ( '#sk1' @ Y1 ) ) )
| ( ( (~) @ ( '#sk2' @ Y1 ) )
& ( '#sk1' @ Y1 ) ) ) ) ) )
= ( ^ [Y1: $i] :
( ( ( ( ( Y0 @ Y1 )
& ( (~) @ ( '#sk2' @ Y1 ) ) )
| ( ( (~) @ ( Y0 @ Y1 ) )
& ( '#sk2' @ Y1 ) ) )
& ( (~) @ ( '#sk1' @ Y1 ) ) )
| ( ( (~)
@ ( ( ( Y0 @ Y1 )
& ( (~) @ ( '#sk2' @ Y1 ) ) )
| ( ( (~) @ ( Y0 @ Y1 ) )
& ( '#sk2' @ Y1 ) ) ) )
& ( '#sk1' @ Y1 ) ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl3,plain,
( ( ^ [Y0: $i] :
( ( ( '#sk3' @ Y0 )
& ( (~)
@ ( ( ( '#sk2' @ Y0 )
& ( (~) @ ( '#sk1' @ Y0 ) ) )
| ( ( (~) @ ( '#sk2' @ Y0 ) )
& ( '#sk1' @ Y0 ) ) ) ) )
| ( ( (~) @ ( '#sk3' @ Y0 ) )
& ( ( ( '#sk2' @ Y0 )
& ( (~) @ ( '#sk1' @ Y0 ) ) )
| ( ( (~) @ ( '#sk2' @ Y0 ) )
& ( '#sk1' @ Y0 ) ) ) ) ) )
!= ( ^ [Y0: $i] :
( ( ( ( ( '#sk3' @ Y0 )
& ( (~) @ ( '#sk2' @ Y0 ) ) )
| ( ( (~) @ ( '#sk3' @ Y0 ) )
& ( '#sk2' @ Y0 ) ) )
& ( (~) @ ( '#sk1' @ Y0 ) ) )
| ( ( (~)
@ ( ( ( '#sk3' @ Y0 )
& ( (~) @ ( '#sk2' @ Y0 ) ) )
| ( ( (~) @ ( '#sk3' @ Y0 ) )
& ( '#sk2' @ Y0 ) ) ) )
& ( '#sk1' @ Y0 ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl4,plain,
( ( ^ [Y0: $i] :
( ( ( '#sk3' @ Y0 )
& ( (~)
@ ( ( ( '#sk2' @ Y0 )
& ( (~) @ ( '#sk1' @ Y0 ) ) )
| ( ( (~) @ ( '#sk2' @ Y0 ) )
& ( '#sk1' @ Y0 ) ) ) ) )
| ( ( (~) @ ( '#sk3' @ Y0 ) )
& ( ( ( '#sk2' @ Y0 )
& ( (~) @ ( '#sk1' @ Y0 ) ) )
| ( ( (~) @ ( '#sk2' @ Y0 ) )
& ( '#sk1' @ Y0 ) ) ) ) ) )
!= ( ^ [Y0: $i] :
( ( ( ( ( '#sk3' @ Y0 )
& ( (~) @ ( '#sk2' @ Y0 ) ) )
| ( ( (~) @ ( '#sk3' @ Y0 ) )
& ( '#sk2' @ Y0 ) ) )
& ( (~) @ ( '#sk1' @ Y0 ) ) )
| ( ( (~)
@ ( ( ( '#sk3' @ Y0 )
& ( (~) @ ( '#sk2' @ Y0 ) ) )
| ( ( (~) @ ( '#sk3' @ Y0 ) )
& ( '#sk2' @ Y0 ) ) ) )
& ( '#sk1' @ Y0 ) ) ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl3]) ).
thf(zip_derived_cl5,plain,
( ( ( ( '#sk3' @ '#sk4' )
& ( (~)
@ ( ( ( '#sk2' @ '#sk4' )
& ( (~) @ ( '#sk1' @ '#sk4' ) ) )
| ( ( (~) @ ( '#sk2' @ '#sk4' ) )
& ( '#sk1' @ '#sk4' ) ) ) ) )
| ( ( (~) @ ( '#sk3' @ '#sk4' ) )
& ( ( ( '#sk2' @ '#sk4' )
& ( (~) @ ( '#sk1' @ '#sk4' ) ) )
| ( ( (~) @ ( '#sk2' @ '#sk4' ) )
& ( '#sk1' @ '#sk4' ) ) ) ) )
!= ( ( ( ( ( '#sk3' @ '#sk4' )
& ( (~) @ ( '#sk2' @ '#sk4' ) ) )
| ( ( (~) @ ( '#sk3' @ '#sk4' ) )
& ( '#sk2' @ '#sk4' ) ) )
& ( (~) @ ( '#sk1' @ '#sk4' ) ) )
| ( ( (~)
@ ( ( ( '#sk3' @ '#sk4' )
& ( (~) @ ( '#sk2' @ '#sk4' ) ) )
| ( ( (~) @ ( '#sk3' @ '#sk4' ) )
& ( '#sk2' @ '#sk4' ) ) ) )
& ( '#sk1' @ '#sk4' ) ) ) ),
inference(neg_ext,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl5_001,plain,
( ( ( ( '#sk3' @ '#sk4' )
& ( (~)
@ ( ( ( '#sk2' @ '#sk4' )
& ( (~) @ ( '#sk1' @ '#sk4' ) ) )
| ( ( (~) @ ( '#sk2' @ '#sk4' ) )
& ( '#sk1' @ '#sk4' ) ) ) ) )
| ( ( (~) @ ( '#sk3' @ '#sk4' ) )
& ( ( ( '#sk2' @ '#sk4' )
& ( (~) @ ( '#sk1' @ '#sk4' ) ) )
| ( ( (~) @ ( '#sk2' @ '#sk4' ) )
& ( '#sk1' @ '#sk4' ) ) ) ) )
!= ( ( ( ( ( '#sk3' @ '#sk4' )
& ( (~) @ ( '#sk2' @ '#sk4' ) ) )
| ( ( (~) @ ( '#sk3' @ '#sk4' ) )
& ( '#sk2' @ '#sk4' ) ) )
& ( (~) @ ( '#sk1' @ '#sk4' ) ) )
| ( ( (~)
@ ( ( ( '#sk3' @ '#sk4' )
& ( (~) @ ( '#sk2' @ '#sk4' ) ) )
| ( ( (~) @ ( '#sk3' @ '#sk4' ) )
& ( '#sk2' @ '#sk4' ) ) ) )
& ( '#sk1' @ '#sk4' ) ) ) ),
inference(neg_ext,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl8,plain,
( ( '#sk3' @ '#sk4' )
| ( ( ( $false
& ( (~)
@ ( ( ( '#sk2' @ '#sk4' )
& ( (~) @ ( '#sk1' @ '#sk4' ) ) )
| ( ( (~) @ ( '#sk2' @ '#sk4' ) )
& ( '#sk1' @ '#sk4' ) ) ) ) )
| ( ( (~) @ $false )
& ( ( ( '#sk2' @ '#sk4' )
& ( (~) @ ( '#sk1' @ '#sk4' ) ) )
| ( ( (~) @ ( '#sk2' @ '#sk4' ) )
& ( '#sk1' @ '#sk4' ) ) ) ) )
!= ( ( ( ( $false
& ( (~) @ ( '#sk2' @ '#sk4' ) ) )
| ( ( (~) @ $false )
& ( '#sk2' @ '#sk4' ) ) )
& ( (~) @ ( '#sk1' @ '#sk4' ) ) )
| ( ( (~)
@ ( ( $false
& ( (~) @ ( '#sk2' @ '#sk4' ) ) )
| ( ( (~) @ $false )
& ( '#sk2' @ '#sk4' ) ) ) )
& ( '#sk1' @ '#sk4' ) ) ) ) ),
inference(bool_hoist,[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl9,plain,
( ( '#sk3' @ '#sk4' )
| ( ( ( ( '#sk2' @ '#sk4' )
& ( (~) @ ( '#sk1' @ '#sk4' ) ) )
| ( ( (~) @ ( '#sk2' @ '#sk4' ) )
& ( '#sk1' @ '#sk4' ) ) )
!= ( ( ( '#sk2' @ '#sk4' )
& ( (~) @ ( '#sk1' @ '#sk4' ) ) )
| ( ( (~) @ ( '#sk2' @ '#sk4' ) )
& ( '#sk1' @ '#sk4' ) ) ) ) ),
inference('simplify boolean subterms',[status(thm)],[zip_derived_cl8]) ).
thf(zip_derived_cl10,plain,
'#sk3' @ '#sk4',
inference(simplify,[status(thm)],[zip_derived_cl9]) ).
thf(zip_derived_cl10_002,plain,
'#sk3' @ '#sk4',
inference(simplify,[status(thm)],[zip_derived_cl9]) ).
thf(zip_derived_cl10_003,plain,
'#sk3' @ '#sk4',
inference(simplify,[status(thm)],[zip_derived_cl9]) ).
thf(zip_derived_cl10_004,plain,
'#sk3' @ '#sk4',
inference(simplify,[status(thm)],[zip_derived_cl9]) ).
thf(zip_derived_cl10_005,plain,
'#sk3' @ '#sk4',
inference(simplify,[status(thm)],[zip_derived_cl9]) ).
thf(zip_derived_cl10_006,plain,
'#sk3' @ '#sk4',
inference(simplify,[status(thm)],[zip_derived_cl9]) ).
thf(zip_derived_cl11,plain,
( ( ( $true
& ( (~)
@ ( ( ( '#sk2' @ '#sk4' )
& ( (~) @ ( '#sk1' @ '#sk4' ) ) )
| ( ( (~) @ ( '#sk2' @ '#sk4' ) )
& ( '#sk1' @ '#sk4' ) ) ) ) )
| ( ( (~) @ $true )
& ( ( ( '#sk2' @ '#sk4' )
& ( (~) @ ( '#sk1' @ '#sk4' ) ) )
| ( ( (~) @ ( '#sk2' @ '#sk4' ) )
& ( '#sk1' @ '#sk4' ) ) ) ) )
!= ( ( ( ( $true
& ( (~) @ ( '#sk2' @ '#sk4' ) ) )
| ( ( (~) @ $true )
& ( '#sk2' @ '#sk4' ) ) )
& ( (~) @ ( '#sk1' @ '#sk4' ) ) )
| ( ( (~)
@ ( ( $true
& ( (~) @ ( '#sk2' @ '#sk4' ) ) )
| ( ( (~) @ $true )
& ( '#sk2' @ '#sk4' ) ) ) )
& ( '#sk1' @ '#sk4' ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl5,zip_derived_cl10,zip_derived_cl10,zip_derived_cl10,zip_derived_cl10,zip_derived_cl10,zip_derived_cl10]) ).
thf(zip_derived_cl12,plain,
( ( (~)
@ ( ( ( '#sk2' @ '#sk4' )
& ( (~) @ ( '#sk1' @ '#sk4' ) ) )
| ( ( (~) @ ( '#sk2' @ '#sk4' ) )
& ( '#sk1' @ '#sk4' ) ) ) )
!= ( ( ( (~) @ ( '#sk2' @ '#sk4' ) )
& ( (~) @ ( '#sk1' @ '#sk4' ) ) )
| ( ( '#sk2' @ '#sk4' )
& ( '#sk1' @ '#sk4' ) ) ) ),
inference('simplify boolean subterms',[status(thm)],[zip_derived_cl11]) ).
thf(zip_derived_cl13,plain,
( ( ( ( '#sk2' @ '#sk4' )
& ( (~) @ ( '#sk1' @ '#sk4' ) ) )
| ( ( (~) @ ( '#sk2' @ '#sk4' ) )
& ( '#sk1' @ '#sk4' ) ) )
= ( ( ( (~) @ ( '#sk2' @ '#sk4' ) )
& ( (~) @ ( '#sk1' @ '#sk4' ) ) )
| ( ( '#sk2' @ '#sk4' )
& ( '#sk1' @ '#sk4' ) ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl12]) ).
thf(zip_derived_cl13_007,plain,
( ( ( ( '#sk2' @ '#sk4' )
& ( (~) @ ( '#sk1' @ '#sk4' ) ) )
| ( ( (~) @ ( '#sk2' @ '#sk4' ) )
& ( '#sk1' @ '#sk4' ) ) )
= ( ( ( (~) @ ( '#sk2' @ '#sk4' ) )
& ( (~) @ ( '#sk1' @ '#sk4' ) ) )
| ( ( '#sk2' @ '#sk4' )
& ( '#sk1' @ '#sk4' ) ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl12]) ).
thf(zip_derived_cl16,plain,
( ( '#sk2' @ '#sk4' )
| ( ( ( $false
& ( (~) @ ( '#sk1' @ '#sk4' ) ) )
| ( ( (~) @ $false )
& ( '#sk1' @ '#sk4' ) ) )
= ( ( ( (~) @ $false )
& ( (~) @ ( '#sk1' @ '#sk4' ) ) )
| ( $false
& ( '#sk1' @ '#sk4' ) ) ) ) ),
inference(bool_hoist,[status(thm)],[zip_derived_cl13]) ).
thf(zip_derived_cl17,plain,
( ( '#sk2' @ '#sk4' )
| ( ( '#sk1' @ '#sk4' )
= ( (~) @ ( '#sk1' @ '#sk4' ) ) ) ),
inference('simplify boolean subterms',[status(thm)],[zip_derived_cl16]) ).
thf(zip_derived_cl18,plain,
( ( '#sk2' @ '#sk4' )
| ( ( '#sk1' @ '#sk4' )
!= ( '#sk1' @ '#sk4' ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl17]) ).
thf(zip_derived_cl19,plain,
'#sk2' @ '#sk4',
inference(simplify,[status(thm)],[zip_derived_cl18]) ).
thf(zip_derived_cl19_008,plain,
'#sk2' @ '#sk4',
inference(simplify,[status(thm)],[zip_derived_cl18]) ).
thf(zip_derived_cl19_009,plain,
'#sk2' @ '#sk4',
inference(simplify,[status(thm)],[zip_derived_cl18]) ).
thf(zip_derived_cl19_010,plain,
'#sk2' @ '#sk4',
inference(simplify,[status(thm)],[zip_derived_cl18]) ).
thf(zip_derived_cl20,plain,
( ( ( $true
& ( (~) @ ( '#sk1' @ '#sk4' ) ) )
| ( ( (~) @ $true )
& ( '#sk1' @ '#sk4' ) ) )
= ( ( ( (~) @ $true )
& ( (~) @ ( '#sk1' @ '#sk4' ) ) )
| ( $true
& ( '#sk1' @ '#sk4' ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13,zip_derived_cl19,zip_derived_cl19,zip_derived_cl19,zip_derived_cl19]) ).
thf(zip_derived_cl21,plain,
( ( (~) @ ( '#sk1' @ '#sk4' ) )
= ( '#sk1' @ '#sk4' ) ),
inference('simplify boolean subterms',[status(thm)],[zip_derived_cl20]) ).
thf(zip_derived_cl22,plain,
( ( '#sk1' @ '#sk4' )
!= ( '#sk1' @ '#sk4' ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl21]) ).
thf(zip_derived_cl23,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl22]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SET623^3 : TPTP v8.1.2. Released v3.6.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.wK1E8bcG17 true
% 0.18/0.36 % Computer : n018.cluster.edu
% 0.18/0.36 % Model : x86_64 x86_64
% 0.18/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.36 % Memory : 8042.1875MB
% 0.18/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.18/0.36 % CPULimit : 300
% 0.18/0.36 % WCLimit : 300
% 0.18/0.36 % DateTime : Sat Aug 26 12:17:45 EDT 2023
% 0.18/0.36 % CPUTime :
% 0.18/0.36 % Running portfolio for 300 s
% 0.18/0.36 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.36 % Number of cores: 8
% 0.18/0.36 % Python version: Python 3.6.8
% 0.18/0.36 % Running in HO mode
% 0.22/0.68 % Total configuration time : 828
% 0.22/0.68 % Estimated wc time : 1656
% 0.22/0.68 % Estimated cpu time (8 cpus) : 207.0
% 0.22/0.74 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.22/0.75 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.22/0.78 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.22/0.78 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.22/0.78 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.22/0.78 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.22/0.78 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.22/0.80 % Solved by lams/35_full_unif4.sh.
% 0.22/0.80 % done 4 iterations in 0.020s
% 0.22/0.80 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.22/0.80 % SZS output start Refutation
% See solution above
% 0.22/0.81
% 0.22/0.81
% 0.22/0.81 % Terminating...
% 1.83/0.89 % Runner terminated.
% 1.83/0.90 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------