%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET671^3 : 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.JHiuhiGjGg true
% Computer : n016.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 04:52:38 PM UTC 2025
% Result : Theorem 0.45s 0.73s
% Output : Refutation 0.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 8
% Syntax : Number of formulae : 40 ( 22 unt; 0 typ; 0 def)
% Number of atoms : 139 ( 21 equ; 0 cnn)
% Maximal formula atoms : 9 ( 3 avg)
% Number of connectives : 322 ( 15 ~; 5 |; 41 &; 194 @)
% ( 0 <=>; 35 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 54 ( 54 >; 0 *; 0 +; 0 <<)
% Number of symbols : 13 ( 9 usr; 5 con; 0-4 aty)
% ( 32 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 113 ( 77 ^; 36 !; 0 ?; 113 :)
% Comments :
%------------------------------------------------------------------------------
thf('#sk4_type',type,
'#sk4': $i > $o ).
thf('#sk3_type',type,
'#sk3': $i > $o ).
thf(is_rel_on_type,type,
is_rel_on: ( $i > $i > $o ) > ( $i > $o ) > ( $i > $o ) > $o ).
thf(subset_type,type,
subset: ( $i > $o ) > ( $i > $o ) > $o ).
thf('#sk2_type',type,
'#sk2': $i > $i > $o ).
thf('#sk1_type',type,
'#sk1': $i > $o ).
thf('#sk5_type',type,
'#sk5': $i ).
thf(restrict_rel_domain_type,type,
restrict_rel_domain: ( $i > $i > $o ) > ( $i > $o ) > $i > $i > $o ).
thf('#sk6_type',type,
'#sk6': $i ).
thf(restrict_rel_domain,axiom,
( restrict_rel_domain
= ( ^ [R: $i > $i > $o,S: $i > $o,X: $i,Y: $i] :
( ( S @ X )
& ( R @ X @ Y ) ) ) ) ).
thf('0',plain,
( restrict_rel_domain
= ( ^ [R: $i > $i > $o,S: $i > $o,X: $i,Y: $i] :
( ( S @ X )
& ( R @ X @ Y ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[restrict_rel_domain]) ).
thf('1',plain,
( restrict_rel_domain
= ( ^ [V_1: $i > $i > $o,V_2: $i > $o,V_3: $i,V_4: $i] :
( ( V_2 @ V_3 )
& ( V_1 @ V_3 @ V_4 ) ) ) ),
define([status(thm)]) ).
thf(is_rel_on,axiom,
( is_rel_on
= ( ^ [R: $i > $i > $o,A: $i > $o,B: $i > $o] :
! [X: $i,Y: $i] :
( ( R @ X @ Y )
=> ( ( A @ X )
& ( B @ Y ) ) ) ) ) ).
thf('2',plain,
( is_rel_on
= ( ^ [R: $i > $i > $o,A: $i > $o,B: $i > $o] :
! [X: $i,Y: $i] :
( ( R @ X @ Y )
=> ( ( A @ X )
& ( B @ Y ) ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[is_rel_on]) ).
thf('3',plain,
( is_rel_on
= ( ^ [V_1: $i > $i > $o,V_2: $i > $o,V_3: $i > $o] :
! [X4: $i,X6: $i] :
( ( V_1 @ X4 @ X6 )
=> ( ( V_2 @ X4 )
& ( V_3 @ X6 ) ) ) ) ),
define([status(thm)]) ).
thf(subset,axiom,
( subset
= ( ^ [X: $i > $o,Y: $i > $o] :
! [U: $i] :
( ( X @ U )
=> ( Y @ U ) ) ) ) ).
thf('4',plain,
( subset
= ( ^ [X: $i > $o,Y: $i > $o] :
! [U: $i] :
( ( X @ U )
=> ( Y @ U ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[subset]) ).
thf('5',plain,
( subset
= ( ^ [V_1: $i > $o,V_2: $i > $o] :
! [X4: $i] :
( ( V_1 @ X4 )
=> ( V_2 @ X4 ) ) ) ),
define([status(thm)]) ).
thf(thm,conjecture,
! [Z: $i > $o,R: $i > $i > $o,X: $i > $o,Y: $i > $o] :
( ( ( is_rel_on @ R @ X @ Y )
& ( subset @ X @ Z ) )
=> ( ( restrict_rel_domain @ R @ Z )
= R ) ) ).
thf(zf_stmt_0,conjecture,
! [X4: $i > $o,X6: $i > $i > $o,X8: $i > $o,X10: $i > $o] :
( ( ! [X16: $i] :
( ( X8 @ X16 )
=> ( X4 @ X16 ) )
& ! [X12: $i,X14: $i] :
( ( X6 @ X12 @ X14 )
=> ( ( X10 @ X14 )
& ( X8 @ X12 ) ) ) )
=> ( ( ^ [V_1: $i,V_2: $i] :
( ( X6 @ V_1 @ V_2 )
& ( X4 @ V_1 ) ) )
= X6 ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ! [X4: $i > $o,X6: $i > $i > $o,X8: $i > $o,X10: $i > $o] :
( ( ! [X16: $i] :
( ( X8 @ X16 )
=> ( X4 @ X16 ) )
& ! [X12: $i,X14: $i] :
( ( X6 @ X12 @ X14 )
=> ( ( X10 @ X14 )
& ( X8 @ X12 ) ) ) )
=> ( ( ^ [V_1: $i,V_2: $i] :
( ( X6 @ V_1 @ V_2 )
& ( X4 @ V_1 ) ) )
= X6 ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl0,plain,
~ ( !!
@ ^ [Y0: $i > $o] :
( !!
@ ^ [Y1: $i > $i > $o] :
( !!
@ ^ [Y2: $i > $o] :
( !!
@ ^ [Y3: $i > $o] :
( ( ( !!
@ ^ [Y4: $i] :
( ( Y2 @ Y4 )
=> ( Y0 @ Y4 ) ) )
& ( !!
@ ^ [Y4: $i] :
( !!
@ ^ [Y5: $i] :
( ( Y1 @ Y4 @ Y5 )
=> ( ( Y3 @ Y5 )
& ( Y2 @ Y4 ) ) ) ) ) )
=> ( ( ^ [Y4: $i,Y5: $i] :
( ( Y1 @ Y4 @ Y5 )
& ( Y0 @ Y4 ) ) )
= Y1 ) ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl1,plain,
~ ( !!
@ ^ [Y0: $i > $i > $o] :
( !!
@ ^ [Y1: $i > $o] :
( !!
@ ^ [Y2: $i > $o] :
( ( ( !!
@ ^ [Y3: $i] :
( ( Y1 @ Y3 )
=> ( '#sk1' @ Y3 ) ) )
& ( !!
@ ^ [Y3: $i] :
( !!
@ ^ [Y4: $i] :
( ( Y0 @ Y3 @ Y4 )
=> ( ( Y2 @ Y4 )
& ( Y1 @ Y3 ) ) ) ) ) )
=> ( ( ^ [Y3: $i,Y4: $i] :
( ( Y0 @ Y3 @ Y4 )
& ( '#sk1' @ Y3 ) ) )
= Y0 ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl2,plain,
~ ( !!
@ ^ [Y0: $i > $o] :
( !!
@ ^ [Y1: $i > $o] :
( ( ( !!
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
=> ( '#sk1' @ Y2 ) ) )
& ( !!
@ ^ [Y2: $i] :
( !!
@ ^ [Y3: $i] :
( ( '#sk2' @ Y2 @ Y3 )
=> ( ( Y1 @ Y3 )
& ( Y0 @ Y2 ) ) ) ) ) )
=> ( ( ^ [Y2: $i,Y3: $i] :
( ( '#sk2' @ Y2 @ Y3 )
& ( '#sk1' @ Y2 ) ) )
= '#sk2' ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl3,plain,
~ ( !!
@ ^ [Y0: $i > $o] :
( ( ( !!
@ ^ [Y1: $i] :
( ( '#sk3' @ Y1 )
=> ( '#sk1' @ Y1 ) ) )
& ( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( '#sk2' @ Y1 @ Y2 )
=> ( ( Y0 @ Y2 )
& ( '#sk3' @ Y1 ) ) ) ) ) )
=> ( ( ^ [Y1: $i,Y2: $i] :
( ( '#sk2' @ Y1 @ Y2 )
& ( '#sk1' @ Y1 ) ) )
= '#sk2' ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl4,plain,
~ ( ( ( !!
@ ^ [Y0: $i] :
( ( '#sk3' @ Y0 )
=> ( '#sk1' @ Y0 ) ) )
& ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( '#sk2' @ Y0 @ Y1 )
=> ( ( '#sk4' @ Y1 )
& ( '#sk3' @ Y0 ) ) ) ) ) )
=> ( ( ^ [Y0: $i,Y1: $i] :
( ( '#sk2' @ Y0 @ Y1 )
& ( '#sk1' @ Y0 ) ) )
= '#sk2' ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl3]) ).
thf(zip_derived_cl6,plain,
( ( ^ [Y0: $i,Y1: $i] :
( ( '#sk2' @ Y0 @ Y1 )
& ( '#sk1' @ Y0 ) ) )
!= '#sk2' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl9,plain,
( ( ^ [Y0: $i,Y1: $i] :
( ( '#sk2' @ Y0 @ Y1 )
& ( '#sk1' @ Y0 ) ) )
!= '#sk2' ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl6]) ).
thf(zip_derived_cl17,plain,
( ( ( '#sk2' @ '#sk5' @ '#sk6' )
& ( '#sk1' @ '#sk5' ) )
!= ( '#sk2' @ '#sk5' @ '#sk6' ) ),
inference(neg_ext,[status(thm)],[zip_derived_cl9]) ).
thf(zip_derived_cl17_001,plain,
( ( ( '#sk2' @ '#sk5' @ '#sk6' )
& ( '#sk1' @ '#sk5' ) )
!= ( '#sk2' @ '#sk5' @ '#sk6' ) ),
inference(neg_ext,[status(thm)],[zip_derived_cl9]) ).
thf(zip_derived_cl20,plain,
( ( ( '#sk2' @ '#sk5' @ '#sk6' )
& ( '#sk1' @ '#sk5' ) )
| ( '#sk2' @ '#sk5' @ '#sk6' ) ),
inference(eq_elim,[status(thm)],[zip_derived_cl17]) ).
thf(zip_derived_cl24,plain,
( ( $false
& ( '#sk1' @ '#sk5' ) )
| ( '#sk2' @ '#sk5' @ '#sk6' ) ),
inference(local_rewriting,[status(thm)],[zip_derived_cl20]) ).
thf(zip_derived_cl25,plain,
'#sk2' @ '#sk5' @ '#sk6',
inference('simplify boolean subterms',[status(thm)],[zip_derived_cl24]) ).
thf(zip_derived_cl25_002,plain,
'#sk2' @ '#sk5' @ '#sk6',
inference('simplify boolean subterms',[status(thm)],[zip_derived_cl24]) ).
thf(zip_derived_cl28,plain,
~ ( $true
& ( '#sk1' @ '#sk5' ) ),
inference(demod,[status(thm)],[zip_derived_cl17,zip_derived_cl25,zip_derived_cl25]) ).
thf(zip_derived_cl29,plain,
~ ( '#sk1' @ '#sk5' ),
inference('simplify boolean subterms',[status(thm)],[zip_derived_cl28]) ).
thf(zip_derived_cl25_003,plain,
'#sk2' @ '#sk5' @ '#sk6',
inference('simplify boolean subterms',[status(thm)],[zip_derived_cl24]) ).
thf(zip_derived_cl5,plain,
( ( !!
@ ^ [Y0: $i] :
( ( '#sk3' @ Y0 )
=> ( '#sk1' @ Y0 ) ) )
& ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( '#sk2' @ Y0 @ Y1 )
=> ( ( '#sk4' @ Y1 )
& ( '#sk3' @ Y0 ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl8,plain,
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( '#sk2' @ Y0 @ Y1 )
=> ( ( '#sk4' @ Y1 )
& ( '#sk3' @ Y0 ) ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl11,plain,
! [X2: $i] :
( !!
@ ^ [Y0: $i] :
( ( '#sk2' @ X2 @ Y0 )
=> ( ( '#sk4' @ Y0 )
& ( '#sk3' @ X2 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl8]) ).
thf(zip_derived_cl13,plain,
! [X2: $i,X4: $i] :
( ( '#sk2' @ X2 @ X4 )
=> ( ( '#sk4' @ X4 )
& ( '#sk3' @ X2 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl11]) ).
thf(zip_derived_cl14,plain,
! [X2: $i,X4: $i] :
( ~ ( '#sk2' @ X2 @ X4 )
| ( ( '#sk4' @ X4 )
& ( '#sk3' @ X2 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl13]) ).
thf(zip_derived_cl16,plain,
! [X2: $i,X4: $i] :
( ( '#sk3' @ X2 )
| ~ ( '#sk2' @ X2 @ X4 ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl14]) ).
thf(zip_derived_cl30,plain,
'#sk3' @ '#sk5',
inference('sup-',[status(thm)],[zip_derived_cl25,zip_derived_cl16]) ).
thf(zip_derived_cl7,plain,
( !!
@ ^ [Y0: $i] :
( ( '#sk3' @ Y0 )
=> ( '#sk1' @ Y0 ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl10,plain,
! [X2: $i] :
( ( '#sk3' @ X2 )
=> ( '#sk1' @ X2 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl7]) ).
thf(zip_derived_cl12,plain,
! [X2: $i] :
( ~ ( '#sk3' @ X2 )
| ( '#sk1' @ X2 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl10]) ).
thf(zip_derived_cl38,plain,
'#sk1' @ '#sk5',
inference('sup-',[status(thm)],[zip_derived_cl30,zip_derived_cl12]) ).
thf(zip_derived_cl41,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl29,zip_derived_cl38]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.10 % Problem : SET671^3 : TPTP v9.2.0. Released v3.6.0.
% 0.04/0.10 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.JHiuhiGjGg true
% 0.09/0.31 % Computer : n016.cluster.edu
% 0.09/0.31 % Model : x86_64 x86_64
% 0.09/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.31 % Memory : 8042.1875MB
% 0.09/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.31 % CPULimit : 300
% 0.09/0.31 % WCLimit : 300
% 0.09/0.31 % DateTime : Wed Oct 1 13:19:53 EDT 2025
% 0.09/0.31 % CPUTime :
% 0.09/0.31 % Running portfolio for 300 s
% 0.09/0.31 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.31 % Number of cores: 8
% 0.09/0.31 % Python version: Python 3.6.8
% 0.15/0.31 % Running in HO mode
% 0.44/0.59 % Total configuration time : 828
% 0.44/0.59 % Estimated wc time : 1656
% 0.44/0.59 % Estimated cpu time (8 cpus) : 207.0
% 0.45/0.67 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.45/0.67 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.45/0.67 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.45/0.67 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.45/0.67 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.45/0.68 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.45/0.68 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.45/0.68 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 0.45/0.73 % Solved by lams/35_full_unif4.sh.
% 0.45/0.73 % done 16 iterations in 0.031s
% 0.45/0.73 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.45/0.73 % SZS output start Refutation
% See solution above
% 0.47/0.73
% 0.47/0.73
% 0.47/0.73 % Terminating...
% 0.50/0.79 % Runner terminated.
% 0.50/0.81 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------