%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU777^2 : TPTP v9.2.0. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.ds4B8qycBD 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 04:56:19 PM UTC 2025
% Result : Theorem 0.57s 0.76s
% Output : Refutation 0.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 9
% Syntax : Number of formulae : 38 ( 16 unt; 0 typ; 0 def)
% Number of atoms : 163 ( 12 equ; 0 cnn)
% Maximal formula atoms : 15 ( 4 avg)
% Number of connectives : 616 ( 14 ~; 2 |; 0 &; 491 @)
% ( 0 <=>; 61 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 9 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 20 ( 20 >; 0 *; 0 +; 0 <<)
% Number of symbols : 16 ( 13 usr; 7 con; 0-3 aty)
% ( 48 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 158 ( 95 ^; 63 !; 0 ?; 158 :)
% Comments :
%------------------------------------------------------------------------------
thf(breln_type,type,
breln: $i > $i > $i > $o ).
thf('#sk13_type',type,
'#sk13': $i ).
thf(in_type,type,
in: $i > $i > $o ).
thf(dpsetconstr_type,type,
dpsetconstr: $i > $i > ( $i > $i > $o ) > $i ).
thf('#sk2_type',type,
'#sk2': $i ).
thf('#sk1_type',type,
'#sk1': $i ).
thf(kpair_type,type,
kpair: $i > $i > $i ).
thf(dpsetconstrER_type,type,
dpsetconstrER: $o ).
thf(cartprod_type,type,
cartprod: $i > $i > $i ).
thf(subset_type,type,
subset: $i > $i > $o ).
thf(breln1invset_type,type,
breln1invset: $i > $i > $i ).
thf(breln1_type,type,
breln1: $i > $i > $o ).
thf('#sk7_type',type,
'#sk7': $i ).
thf(breln1,axiom,
( breln1
= ( ^ [A: $i,R: $i] : ( breln @ A @ A @ R ) ) ) ).
thf(breln,axiom,
( breln
= ( ^ [A: $i,B: $i,C: $i] : ( subset @ C @ ( cartprod @ A @ B ) ) ) ) ).
thf('0',plain,
( breln
= ( ^ [A: $i,B: $i,C: $i] : ( subset @ C @ ( cartprod @ A @ B ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[breln]) ).
thf('1',plain,
( breln
= ( ^ [V_1: $i,V_2: $i,V_3: $i] : ( subset @ V_3 @ ( cartprod @ V_1 @ V_2 ) ) ) ),
define([status(thm)]) ).
thf('2',plain,
( breln1
= ( ^ [A: $i,R: $i] : ( breln @ A @ A @ R ) ) ),
inference(simplify_rw_rule,[status(thm)],[breln1,'1']) ).
thf('3',plain,
( breln1
= ( ^ [V_1: $i,V_2: $i] : ( breln @ V_1 @ V_1 @ V_2 ) ) ),
define([status(thm)]) ).
thf(dpsetconstrER,axiom,
( dpsetconstrER
= ( ! [A: $i,B: $i,Xphi: $i > $i > $o,Xx: $i,Xy: $i] :
( ( in @ ( kpair @ Xx @ Xy )
@ ( dpsetconstr @ A @ B
@ ^ [Xz: $i,Xu: $i] : ( Xphi @ Xz @ Xu ) ) )
=> ( Xphi @ Xx @ Xy ) ) ) ) ).
thf('4',plain,
( dpsetconstrER
= ( ! [X4: $i,X6: $i,X8: $i > $i > $o,X10: $i,X12: $i] :
( ( in @ ( kpair @ X10 @ X12 )
@ ( dpsetconstr @ X4 @ X6
@ ^ [V_1: $i,V_2: $i] : ( X8 @ V_1 @ V_2 ) ) )
=> ( X8 @ X10 @ X12 ) ) ) ),
define([status(thm)]) ).
thf(breln1invE,conjecture,
( dpsetconstrER
=> ! [A: $i,R: $i] :
( ( breln1 @ A @ R )
=> ! [Xx: $i] :
( ( in @ Xx @ A )
=> ! [Xy: $i] :
( ( in @ Xy @ A )
=> ( ( in @ ( kpair @ Xy @ Xx ) @ ( breln1invset @ A @ R ) )
=> ( in @ ( kpair @ Xx @ Xy ) @ R ) ) ) ) ) ) ).
thf(zf_stmt_0,conjecture,
( ! [X4: $i,X6: $i,X8: $i > $i > $o,X10: $i,X12: $i] :
( ( in @ ( kpair @ X10 @ X12 )
@ ( dpsetconstr @ X4 @ X6
@ ^ [V_1: $i,V_2: $i] : ( X8 @ V_1 @ V_2 ) ) )
=> ( X8 @ X10 @ X12 ) )
=> ! [X14: $i,X16: $i] :
( ( subset @ X16 @ ( cartprod @ X14 @ X14 ) )
=> ! [X18: $i] :
( ( in @ X18 @ X14 )
=> ! [X20: $i] :
( ( in @ X20 @ X14 )
=> ( ( in @ ( kpair @ X20 @ X18 ) @ ( breln1invset @ X14 @ X16 ) )
=> ( in @ ( kpair @ X18 @ X20 ) @ X16 ) ) ) ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ( ! [X4: $i,X6: $i,X8: $i > $i > $o,X10: $i,X12: $i] :
( ( in @ ( kpair @ X10 @ X12 )
@ ( dpsetconstr @ X4 @ X6
@ ^ [V_1: $i,V_2: $i] : ( X8 @ V_1 @ V_2 ) ) )
=> ( X8 @ X10 @ X12 ) )
=> ! [X14: $i,X16: $i] :
( ( subset @ X16 @ ( cartprod @ X14 @ X14 ) )
=> ! [X18: $i] :
( ( in @ X18 @ X14 )
=> ! [X20: $i] :
( ( in @ X20 @ X14 )
=> ( ( in @ ( kpair @ X20 @ X18 ) @ ( breln1invset @ X14 @ X16 ) )
=> ( in @ ( kpair @ X18 @ X20 ) @ X16 ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1,plain,
~ ( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i > $i > $o] :
( !!
@ ^ [Y3: $i] :
( !!
@ ^ [Y4: $i] :
( ( in @ ( kpair @ Y3 @ Y4 )
@ ( dpsetconstr @ Y0 @ Y1
@ ^ [Y5: $i,Y6: $i] : ( Y2 @ Y5 @ Y6 ) ) )
=> ( Y2 @ Y3 @ Y4 ) ) ) ) ) ) )
=> ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( subset @ Y1 @ ( cartprod @ Y0 @ Y0 ) )
=> ( !!
@ ^ [Y2: $i] :
( ( in @ Y2 @ Y0 )
=> ( !!
@ ^ [Y3: $i] :
( ( in @ Y3 @ Y0 )
=> ( ( in @ ( kpair @ Y3 @ Y2 ) @ ( breln1invset @ Y0 @ Y1 ) )
=> ( in @ ( kpair @ Y2 @ Y3 ) @ Y1 ) ) ) ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl8,plain,
~ ( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i > $i > $o] :
( !!
@ ^ [Y3: $i] :
( !!
@ ^ [Y4: $i] :
( ( in @ ( kpair @ Y3 @ Y4 ) @ ( dpsetconstr @ Y0 @ Y1 @ Y2 ) )
=> ( Y2 @ Y3 @ Y4 ) ) ) ) ) ) )
=> ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( subset @ Y1 @ ( cartprod @ Y0 @ Y0 ) )
=> ( !!
@ ^ [Y2: $i] :
( ( in @ Y2 @ Y0 )
=> ( !!
@ ^ [Y3: $i] :
( ( in @ Y3 @ Y0 )
=> ( ( in @ ( kpair @ Y3 @ Y2 ) @ ( breln1invset @ Y0 @ Y1 ) )
=> ( in @ ( kpair @ Y2 @ Y3 ) @ Y1 ) ) ) ) ) ) ) ) ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl10,plain,
~ ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( subset @ Y1 @ ( cartprod @ Y0 @ Y0 ) )
=> ( !!
@ ^ [Y2: $i] :
( ( in @ Y2 @ Y0 )
=> ( !!
@ ^ [Y3: $i] :
( ( in @ Y3 @ Y0 )
=> ( ( in @ ( kpair @ Y3 @ Y2 ) @ ( breln1invset @ Y0 @ Y1 ) )
=> ( in @ ( kpair @ Y2 @ Y3 ) @ Y1 ) ) ) ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl8]) ).
thf(zip_derived_cl12,plain,
~ ( !!
@ ^ [Y0: $i] :
( ( subset @ Y0 @ ( cartprod @ '#sk1' @ '#sk1' ) )
=> ( !!
@ ^ [Y1: $i] :
( ( in @ Y1 @ '#sk1' )
=> ( !!
@ ^ [Y2: $i] :
( ( in @ Y2 @ '#sk1' )
=> ( ( in @ ( kpair @ Y2 @ Y1 ) @ ( breln1invset @ '#sk1' @ Y0 ) )
=> ( in @ ( kpair @ Y1 @ Y2 ) @ Y0 ) ) ) ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl10]) ).
thf(zip_derived_cl14,plain,
~ ( ( subset @ '#sk2' @ ( cartprod @ '#sk1' @ '#sk1' ) )
=> ( !!
@ ^ [Y0: $i] :
( ( in @ Y0 @ '#sk1' )
=> ( !!
@ ^ [Y1: $i] :
( ( in @ Y1 @ '#sk1' )
=> ( ( in @ ( kpair @ Y1 @ Y0 ) @ ( breln1invset @ '#sk1' @ '#sk2' ) )
=> ( in @ ( kpair @ Y0 @ Y1 ) @ '#sk2' ) ) ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl12]) ).
thf(zip_derived_cl18,plain,
~ ( !!
@ ^ [Y0: $i] :
( ( in @ Y0 @ '#sk1' )
=> ( !!
@ ^ [Y1: $i] :
( ( in @ Y1 @ '#sk1' )
=> ( ( in @ ( kpair @ Y1 @ Y0 ) @ ( breln1invset @ '#sk1' @ '#sk2' ) )
=> ( in @ ( kpair @ Y0 @ Y1 ) @ '#sk2' ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl14]) ).
thf(zip_derived_cl20,plain,
~ ( ( in @ '#sk7' @ '#sk1' )
=> ( !!
@ ^ [Y0: $i] :
( ( in @ Y0 @ '#sk1' )
=> ( ( in @ ( kpair @ Y0 @ '#sk7' ) @ ( breln1invset @ '#sk1' @ '#sk2' ) )
=> ( in @ ( kpair @ '#sk7' @ Y0 ) @ '#sk2' ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl18]) ).
thf(zip_derived_cl23,plain,
~ ( !!
@ ^ [Y0: $i] :
( ( in @ Y0 @ '#sk1' )
=> ( ( in @ ( kpair @ Y0 @ '#sk7' ) @ ( breln1invset @ '#sk1' @ '#sk2' ) )
=> ( in @ ( kpair @ '#sk7' @ Y0 ) @ '#sk2' ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl20]) ).
thf(zip_derived_cl25,plain,
~ ( ( in @ '#sk13' @ '#sk1' )
=> ( ( in @ ( kpair @ '#sk13' @ '#sk7' ) @ ( breln1invset @ '#sk1' @ '#sk2' ) )
=> ( in @ ( kpair @ '#sk7' @ '#sk13' ) @ '#sk2' ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl23]) ).
thf(zip_derived_cl27,plain,
~ ( ( in @ ( kpair @ '#sk13' @ '#sk7' ) @ ( breln1invset @ '#sk1' @ '#sk2' ) )
=> ( in @ ( kpair @ '#sk7' @ '#sk13' ) @ '#sk2' ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl25]) ).
thf(zip_derived_cl29,plain,
~ ( in @ ( kpair @ '#sk7' @ '#sk13' ) @ '#sk2' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl27]) ).
thf(breln1invset,axiom,
( breln1invset
= ( ^ [A: $i,R: $i] :
( dpsetconstr @ A @ A
@ ^ [Xx: $i,Xy: $i] : ( in @ ( kpair @ Xy @ Xx ) @ R ) ) ) ) ).
thf(zip_derived_cl0,plain,
( breln1invset
= ( ^ [Y0: $i,Y1: $i] :
( dpsetconstr @ Y0 @ Y0
@ ^ [Y2: $i,Y3: $i] : ( in @ ( kpair @ Y3 @ Y2 ) @ Y1 ) ) ) ),
inference(cnf,[status(esa)],[breln1invset]) ).
thf(zip_derived_cl3,plain,
! [X1: $i,X2: $i] :
( ( breln1invset @ X1 @ X2 )
= ( ^ [Y0: $i,Y1: $i] :
( dpsetconstr @ Y0 @ Y0
@ ^ [Y2: $i,Y3: $i] : ( in @ ( kpair @ Y3 @ Y2 ) @ Y1 ) )
@ X1
@ X2 ) ),
inference(ho_complete_eq,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl5,plain,
! [X1: $i,X2: $i] :
( ( breln1invset @ X1 @ X2 )
= ( dpsetconstr @ X1 @ X1
@ ^ [Y0: $i,Y1: $i] : ( in @ ( kpair @ Y1 @ Y0 ) @ X2 ) ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl3]) ).
thf(zip_derived_cl9,plain,
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i > $i > $o] :
( !!
@ ^ [Y3: $i] :
( !!
@ ^ [Y4: $i] :
( ( in @ ( kpair @ Y3 @ Y4 ) @ ( dpsetconstr @ Y0 @ Y1 @ Y2 ) )
=> ( Y2 @ Y3 @ Y4 ) ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl8]) ).
thf(zip_derived_cl11,plain,
! [X2: $i] :
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i > $i > $o] :
( !!
@ ^ [Y2: $i] :
( !!
@ ^ [Y3: $i] :
( ( in @ ( kpair @ Y2 @ Y3 ) @ ( dpsetconstr @ X2 @ Y0 @ Y1 ) )
=> ( Y1 @ Y2 @ Y3 ) ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl9]) ).
thf(zip_derived_cl13,plain,
! [X2: $i,X4: $i] :
( !!
@ ^ [Y0: $i > $i > $o] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( in @ ( kpair @ Y1 @ Y2 ) @ ( dpsetconstr @ X2 @ X4 @ Y0 ) )
=> ( Y0 @ Y1 @ Y2 ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl11]) ).
thf(zip_derived_cl15,plain,
! [X2: $i,X4: $i,X6: $i > $i > $o] :
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( in @ ( kpair @ Y0 @ Y1 ) @ ( dpsetconstr @ X2 @ X4 @ X6 ) )
=> ( X6 @ Y0 @ Y1 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl13]) ).
thf(zip_derived_cl16,plain,
! [X0: $i,X1: $i,X2: $i] :
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( in @ ( kpair @ Y0 @ Y1 )
@ ( dpsetconstr @ X2 @ X1
@ ^ [Y2: $i,Y3: $i] : ( in @ ( kpair @ Y3 @ Y2 ) @ X0 ) ) )
=> ( in @ ( kpair @ Y1 @ Y0 ) @ X0 ) ) ) ),
inference(triggered_bool_instantiation,[status(thm)],[zip_derived_cl15]) ).
thf(zip_derived_cl30,plain,
! [X0: $i,X1: $i,X2: $i,X4: $i] :
( !!
@ ^ [Y0: $i] :
( ( in @ ( kpair @ X4 @ Y0 )
@ ( dpsetconstr @ X2 @ X1
@ ^ [Y1: $i,Y2: $i] : ( in @ ( kpair @ Y2 @ Y1 ) @ X0 ) ) )
=> ( in @ ( kpair @ Y0 @ X4 ) @ X0 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl16]) ).
thf(zip_derived_cl31,plain,
! [X0: $i,X1: $i,X2: $i,X4: $i,X6: $i] :
( ( in @ ( kpair @ X4 @ X6 )
@ ( dpsetconstr @ X2 @ X1
@ ^ [Y0: $i,Y1: $i] : ( in @ ( kpair @ Y1 @ Y0 ) @ X0 ) ) )
=> ( in @ ( kpair @ X6 @ X4 ) @ X0 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl30]) ).
thf(zip_derived_cl32,plain,
! [X0: $i,X1: $i,X2: $i,X4: $i,X6: $i] :
( ~ ( in @ ( kpair @ X4 @ X6 )
@ ( dpsetconstr @ X2 @ X1
@ ^ [Y0: $i,Y1: $i] : ( in @ ( kpair @ Y1 @ Y0 ) @ X0 ) ) )
| ( in @ ( kpair @ X6 @ X4 ) @ X0 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl31]) ).
thf(zip_derived_cl33,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( in @ ( kpair @ X3 @ X2 ) @ ( breln1invset @ X1 @ X0 ) )
| ( in @ ( kpair @ X2 @ X3 ) @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl32]) ).
thf(zip_derived_cl28,plain,
in @ ( kpair @ '#sk13' @ '#sk7' ) @ ( breln1invset @ '#sk1' @ '#sk2' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl27]) ).
thf(zip_derived_cl34,plain,
in @ ( kpair @ '#sk7' @ '#sk13' ) @ '#sk2',
inference('sup+',[status(thm)],[zip_derived_cl33,zip_derived_cl28]) ).
thf(zip_derived_cl40,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl29,zip_derived_cl34]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SEU777^2 : TPTP v9.2.0. Released v3.7.0.
% 0.10/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.ds4B8qycBD true
% 0.12/0.34 % Computer : n017.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 : Wed Oct 1 16:09:53 EDT 2025
% 0.12/0.34 % CPUTime :
% 0.12/0.34 % Running portfolio for 300 s
% 0.12/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.34 % Number of cores: 8
% 0.12/0.34 % Python version: Python 3.6.8
% 0.12/0.35 % Running in HO mode
% 0.55/0.68 % Total configuration time : 828
% 0.55/0.68 % Estimated wc time : 1656
% 0.55/0.68 % Estimated cpu time (8 cpus) : 207.0
% 0.55/0.71 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.57/0.72 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.57/0.74 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.57/0.75 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.57/0.76 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.57/0.76 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.57/0.76 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.57/0.76 % Solved by lams/35_full_unif4.sh.
% 0.57/0.76 % done 11 iterations in 0.019s
% 0.57/0.76 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.57/0.76 % SZS output start Refutation
% See solution above
% 0.57/0.77
% 0.57/0.77
% 0.57/0.77 % Terminating...
% 1.81/0.87 % Runner terminated.
% 1.82/0.88 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------