%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET651^3 : TPTP v9.2.0. Released v3.6.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.nqiW43K7nH true
% Computer : n004.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 04:52:35 PM UTC 2025
% Result : Theorem 0.56s 0.76s
% Output : Refutation 0.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 10
% Syntax : Number of formulae : 28 ( 16 unt; 0 typ; 0 def)
% Number of atoms : 75 ( 12 equ; 0 cnn)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 156 ( 9 ~; 2 |; 3 &; 102 @)
% ( 0 <=>; 24 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 38 ( 38 >; 0 *; 0 +; 0 <<)
% Number of symbols : 13 ( 8 usr; 6 con; 0-4 aty)
% ( 11 !!; 5 ??; 0 @@+; 0 @@-)
% Number of variables : 74 ( 47 ^; 22 !; 5 ?; 74 :)
% Comments :
%------------------------------------------------------------------------------
thf(rel_domain_type,type,
rel_domain: ( $i > $i > $o ) > $i > $o ).
thf('#sk1_type',type,
'#sk1': $i > $i > $o ).
thf(a_type,type,
a: $i > $o ).
thf('#sk2_type',type,
'#sk2': $i ).
thf(cartesian_product_type,type,
cartesian_product: ( $i > $o ) > ( $i > $o ) > $i > $i > $o ).
thf(sub_rel_type,type,
sub_rel: ( $i > $i > $o ) > ( $i > $i > $o ) > $o ).
thf(subset_type,type,
subset: ( $i > $o ) > ( $i > $o ) > $o ).
thf('#sk3_type',type,
'#sk3': $i ).
thf(rel_domain,axiom,
( rel_domain
= ( ^ [R: $i > $i > $o,X: $i] :
? [Y: $i] : ( R @ X @ Y ) ) ) ).
thf('0',plain,
( rel_domain
= ( ^ [R: $i > $i > $o,X: $i] :
? [Y: $i] : ( R @ X @ Y ) ) ),
inference(simplify_rw_rule,[status(thm)],[rel_domain]) ).
thf('1',plain,
( rel_domain
= ( ^ [V_1: $i > $i > $o,V_2: $i] :
? [X4: $i] : ( V_1 @ V_2 @ X4 ) ) ),
define([status(thm)]) ).
thf(sub_rel,axiom,
( sub_rel
= ( ^ [R1: $i > $i > $o,R2: $i > $i > $o] :
! [X: $i,Y: $i] :
( ( R1 @ X @ Y )
=> ( R2 @ X @ Y ) ) ) ) ).
thf('2',plain,
( sub_rel
= ( ^ [R1: $i > $i > $o,R2: $i > $i > $o] :
! [X: $i,Y: $i] :
( ( R1 @ X @ Y )
=> ( R2 @ X @ Y ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[sub_rel]) ).
thf('3',plain,
( sub_rel
= ( ^ [V_1: $i > $i > $o,V_2: $i > $i > $o] :
! [X4: $i,X6: $i] :
( ( V_1 @ X4 @ X6 )
=> ( V_2 @ X4 @ X6 ) ) ) ),
define([status(thm)]) ).
thf(cartesian_product,axiom,
( cartesian_product
= ( ^ [X: $i > $o,Y: $i > $o,U: $i,V: $i] :
( ( X @ U )
& ( Y @ V ) ) ) ) ).
thf('4',plain,
( cartesian_product
= ( ^ [X: $i > $o,Y: $i > $o,U: $i,V: $i] :
( ( X @ U )
& ( Y @ V ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[cartesian_product]) ).
thf('5',plain,
( cartesian_product
= ( ^ [V_1: $i > $o,V_2: $i > $o,V_3: $i,V_4: $i] :
( ( V_1 @ V_3 )
& ( V_2 @ V_4 ) ) ) ),
define([status(thm)]) ).
thf(subset,axiom,
( subset
= ( ^ [X: $i > $o,Y: $i > $o] :
! [U: $i] :
( ( X @ U )
=> ( Y @ U ) ) ) ) ).
thf('6',plain,
( subset
= ( ^ [X: $i > $o,Y: $i > $o] :
! [U: $i] :
( ( X @ U )
=> ( Y @ U ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[subset]) ).
thf('7',plain,
( subset
= ( ^ [V_1: $i > $o,V_2: $i > $o] :
! [X4: $i] :
( ( V_1 @ X4 )
=> ( V_2 @ X4 ) ) ) ),
define([status(thm)]) ).
thf(thm,conjecture,
! [R: $i > $i > $o] :
( ( subset @ ( rel_domain @ R ) @ a )
=> ( sub_rel @ R
@ ( cartesian_product @ a
@ ^ [X: $i] : $true ) ) ) ).
thf(zf_stmt_0,conjecture,
! [X4: $i > $i > $o] :
( ! [X6: $i] :
( ? [X8: $i] : ( X4 @ X6 @ X8 )
=> ( a @ X6 ) )
=> ! [X10: $i,X12: $i] :
( ( X4 @ X10 @ X12 )
=> ( a @ X10 ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ! [X4: $i > $i > $o] :
( ! [X6: $i] :
( ? [X8: $i] : ( X4 @ X6 @ X8 )
=> ( a @ X6 ) )
=> ! [X10: $i,X12: $i] :
( ( X4 @ X10 @ X12 )
=> ( a @ X10 ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl0,plain,
~ ( !!
@ ^ [Y0: $i > $i > $o] :
( ( !!
@ ^ [Y1: $i] :
( ( ??
@ ^ [Y2: $i] : ( Y0 @ Y1 @ Y2 ) )
=> ( a @ Y1 ) ) )
=> ( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( Y0 @ Y1 @ Y2 )
=> ( a @ Y1 ) ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl1,plain,
~ ( ( !!
@ ^ [Y0: $i] :
( ( ??
@ ^ [Y1: $i] : ( '#sk1' @ Y0 @ Y1 ) )
=> ( a @ Y0 ) ) )
=> ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( '#sk1' @ Y0 @ Y1 )
=> ( a @ Y0 ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl3,plain,
~ ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( '#sk1' @ Y0 @ Y1 )
=> ( a @ Y0 ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl5,plain,
~ ( !!
@ ^ [Y0: $i] :
( ( '#sk1' @ '#sk2' @ Y0 )
=> ( a @ '#sk2' ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl3]) ).
thf(zip_derived_cl7,plain,
~ ( ( '#sk1' @ '#sk2' @ '#sk3' )
=> ( a @ '#sk2' ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl10,plain,
~ ( a @ '#sk2' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl7]) ).
thf(zip_derived_cl9,plain,
'#sk1' @ '#sk2' @ '#sk3',
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl7]) ).
thf(zip_derived_cl2,plain,
( !!
@ ^ [Y0: $i] :
( ( ??
@ ^ [Y1: $i] : ( '#sk1' @ Y0 @ Y1 ) )
=> ( a @ Y0 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl4,plain,
! [X2: $i] :
( ( ??
@ ^ [Y0: $i] : ( '#sk1' @ X2 @ Y0 ) )
=> ( a @ X2 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl6,plain,
! [X2: $i] :
( ~ ( ??
@ ^ [Y0: $i] : ( '#sk1' @ X2 @ Y0 ) )
| ( a @ X2 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl8,plain,
! [X2: $i,X4: $i] :
( ~ ( '#sk1' @ X2 @ X4 )
| ( a @ X2 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl6]) ).
thf(zip_derived_cl11,plain,
a @ '#sk2',
inference('sup-',[status(thm)],[zip_derived_cl9,zip_derived_cl8]) ).
thf(zip_derived_cl13,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl10,zip_derived_cl11]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET651^3 : TPTP v9.2.0. Released v3.6.0.
% 0.12/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.nqiW43K7nH true
% 0.13/0.34 % Computer : n004.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Wed Oct 1 13:20:08 EDT 2025
% 0.19/0.34 % CPUTime :
% 0.19/0.34 % Running portfolio for 300 s
% 0.19/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.34 % Number of cores: 8
% 0.19/0.34 % Python version: Python 3.6.8
% 0.19/0.35 % Running in HO mode
% 0.56/0.66 % Total configuration time : 828
% 0.56/0.66 % Estimated wc time : 1656
% 0.56/0.66 % Estimated cpu time (8 cpus) : 207.0
% 0.56/0.72 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.56/0.72 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.56/0.72 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.56/0.74 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.56/0.74 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.56/0.75 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 0.56/0.75 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.56/0.75 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.56/0.76 % Solved by lams/35_full_unif4.sh.
% 0.56/0.76 % done 3 iterations in 0.014s
% 0.56/0.76 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.56/0.76 % SZS output start Refutation
% See solution above
% 0.56/0.76
% 0.56/0.76
% 0.56/0.76 % Terminating...
% 1.10/0.86 % Runner terminated.
% 1.10/0.87 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------