%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU671^2 : TPTP v9.2.0. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.UrsfoMUgIp 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 04:55:40 PM UTC 2025
% Result : Theorem 1.30s 0.85s
% Output : Refutation 1.30s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 9
% Syntax : Number of formulae : 63 ( 17 unt; 0 typ; 0 def)
% Number of atoms : 276 ( 88 equ; 0 cnn)
% Maximal formula atoms : 22 ( 4 avg)
% Number of connectives : 974 ( 32 ~; 20 |; 25 &; 724 @)
% ( 0 <=>; 66 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 9 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 67 ( 67 >; 0 *; 0 +; 0 <<)
% Number of symbols : 19 ( 15 usr; 10 con; 0-4 aty)
% ( 95 !!; 12 ??; 0 @@+; 0 @@-)
% Number of variables : 304 ( 134 ^; 168 !; 2 ?; 304 :)
% Comments :
%------------------------------------------------------------------------------
thf('#sk74_type',type,
'#sk74': ( $i > $i > $o ) > $i > $i > $i > $i ).
thf('#sk57_type',type,
'#sk57': $i ).
thf(in_type,type,
in: $i > $i > $o ).
thf(cartprod_type,type,
cartprod: $i > $i > $i ).
thf('#sk53_type',type,
'#sk53': $i ).
thf(dsetconstrER_type,type,
dsetconstrER: $o ).
thf(setukpairinjL_type,type,
setukpairinjL: $o ).
thf('#sk56_type',type,
'#sk56': $i ).
thf(dpsetconstr_type,type,
dpsetconstr: $i > $i > ( $i > $i > $o ) > $i ).
thf('#sk51_type',type,
'#sk51': $i ).
thf(kpair_type,type,
kpair: $i > $i > $i ).
thf(dsetconstr_type,type,
dsetconstr: $i > ( $i > $o ) > $i ).
thf('#sk95_type',type,
'#sk95': ( $i > $i > $o ) > $i > $i > $i > $i ).
thf('#sk55_type',type,
'#sk55': $i > $i > $o ).
thf(setukpairinjR_type,type,
setukpairinjR: $o ).
thf(setukpairinjR,axiom,
( setukpairinjR
= ( ! [Xx: $i,Xy: $i,Xz: $i,Xu: $i] :
( ( ( kpair @ Xx @ Xy )
= ( kpair @ Xz @ Xu ) )
=> ( Xy = Xu ) ) ) ) ).
thf('0',plain,
( setukpairinjR
= ( ! [X4: $i,X6: $i,X8: $i,X10: $i] :
( ( ( kpair @ X4 @ X6 )
= ( kpair @ X8 @ X10 ) )
=> ( X6 = X10 ) ) ) ),
define([status(thm)]) ).
thf(setukpairinjL,axiom,
( setukpairinjL
= ( ! [Xx: $i,Xy: $i,Xz: $i,Xu: $i] :
( ( ( kpair @ Xx @ Xy )
= ( kpair @ Xz @ Xu ) )
=> ( Xx = Xz ) ) ) ) ).
thf('1',plain,
( setukpairinjL
= ( ! [X4: $i,X6: $i,X8: $i,X10: $i] :
( ( ( kpair @ X4 @ X6 )
= ( kpair @ X8 @ X10 ) )
=> ( X4 = X8 ) ) ) ),
define([status(thm)]) ).
thf(dsetconstrER,axiom,
( dsetconstrER
= ( ! [A: $i,Xphi: $i > $o,Xx: $i] :
( ( in @ Xx
@ ( dsetconstr @ A
@ ^ [Xy: $i] : ( Xphi @ Xy ) ) )
=> ( Xphi @ Xx ) ) ) ) ).
thf('2',plain,
( dsetconstrER
= ( ! [X4: $i,X6: $i > $o,X8: $i] :
( ( in @ X8
@ ( dsetconstr @ X4
@ ^ [V_1: $i] : ( X6 @ V_1 ) ) )
=> ( X6 @ X8 ) ) ) ),
define([status(thm)]) ).
thf(dpsetconstrER,conjecture,
( dsetconstrER
=> ( setukpairinjL
=> ( setukpairinjR
=> ! [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(zf_stmt_0,conjecture,
( ! [X4: $i,X6: $i > $o,X8: $i] :
( ( in @ X8
@ ( dsetconstr @ X4
@ ^ [V_1: $i] : ( X6 @ V_1 ) ) )
=> ( X6 @ X8 ) )
=> ( ! [X10: $i,X12: $i,X14: $i,X16: $i] :
( ( ( kpair @ X10 @ X12 )
= ( kpair @ X14 @ X16 ) )
=> ( X10 = X14 ) )
=> ( ! [X18: $i,X20: $i,X22: $i,X24: $i] :
( ( ( kpair @ X18 @ X20 )
= ( kpair @ X22 @ X24 ) )
=> ( X20 = X24 ) )
=> ! [X26: $i,X28: $i,X30: $i > $i > $o,X32: $i,X34: $i] :
( ( in @ ( kpair @ X32 @ X34 )
@ ( dpsetconstr @ X26 @ X28
@ ^ [V_2: $i,V_3: $i] : ( X30 @ V_2 @ V_3 ) ) )
=> ( X30 @ X32 @ X34 ) ) ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ( ! [X4: $i,X6: $i > $o,X8: $i] :
( ( in @ X8
@ ( dsetconstr @ X4
@ ^ [V_1: $i] : ( X6 @ V_1 ) ) )
=> ( X6 @ X8 ) )
=> ( ! [X10: $i,X12: $i,X14: $i,X16: $i] :
( ( ( kpair @ X10 @ X12 )
= ( kpair @ X14 @ X16 ) )
=> ( X10 = X14 ) )
=> ( ! [X18: $i,X20: $i,X22: $i,X24: $i] :
( ( ( kpair @ X18 @ X20 )
= ( kpair @ X22 @ X24 ) )
=> ( X20 = X24 ) )
=> ! [X26: $i,X28: $i,X30: $i > $i > $o,X32: $i,X34: $i] :
( ( in @ ( kpair @ X32 @ X34 )
@ ( dpsetconstr @ X26 @ X28
@ ^ [V_2: $i,V_3: $i] : ( X30 @ V_2 @ V_3 ) ) )
=> ( X30 @ X32 @ X34 ) ) ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1,plain,
~ ( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i > $o] :
( !!
@ ^ [Y2: $i] :
( ( in @ Y2
@ ( dsetconstr @ Y0
@ ^ [Y3: $i] : ( Y1 @ Y3 ) ) )
=> ( Y1 @ Y2 ) ) ) ) )
=> ( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( !!
@ ^ [Y3: $i] :
( ( ( kpair @ Y0 @ Y1 )
= ( kpair @ Y2 @ Y3 ) )
=> ( Y0 = Y2 ) ) ) ) ) )
=> ( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( !!
@ ^ [Y3: $i] :
( ( ( kpair @ Y0 @ Y1 )
= ( kpair @ Y2 @ Y3 ) )
=> ( Y1 = Y3 ) ) ) ) ) )
=> ( !!
@ ^ [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 ) ) ) ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl14,plain,
~ ( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i > $o] :
( !!
@ ^ [Y2: $i] :
( ( in @ Y2 @ ( dsetconstr @ Y0 @ Y1 ) )
=> ( Y1 @ Y2 ) ) ) ) )
=> ( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( !!
@ ^ [Y3: $i] :
( ( ( kpair @ Y0 @ Y1 )
= ( kpair @ Y2 @ Y3 ) )
=> ( Y0 = Y2 ) ) ) ) ) )
=> ( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( !!
@ ^ [Y3: $i] :
( ( ( kpair @ Y0 @ Y1 )
= ( kpair @ Y2 @ Y3 ) )
=> ( Y1 = Y3 ) ) ) ) ) )
=> ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i > $i > $o] :
( !!
@ ^ [Y3: $i] :
( !!
@ ^ [Y4: $i] :
( ( in @ ( kpair @ Y3 @ Y4 ) @ ( dpsetconstr @ Y0 @ Y1 @ Y2 ) )
=> ( Y2 @ Y3 @ Y4 ) ) ) ) ) ) ) ) ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl16,plain,
~ ( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( !!
@ ^ [Y3: $i] :
( ( ( kpair @ Y0 @ Y1 )
= ( kpair @ Y2 @ Y3 ) )
=> ( Y0 = Y2 ) ) ) ) ) )
=> ( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( !!
@ ^ [Y3: $i] :
( ( ( kpair @ Y0 @ Y1 )
= ( kpair @ Y2 @ Y3 ) )
=> ( Y1 = Y3 ) ) ) ) ) )
=> ( !!
@ ^ [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_cl14]) ).
thf(zip_derived_cl19,plain,
~ ( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( !!
@ ^ [Y3: $i] :
( ( ( kpair @ Y0 @ Y1 )
= ( kpair @ Y2 @ Y3 ) )
=> ( Y1 = Y3 ) ) ) ) ) )
=> ( !!
@ ^ [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_cl16]) ).
thf(zip_derived_cl24,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_cl19]) ).
thf(zip_derived_cl28,plain,
~ ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i > $i > $o] :
( !!
@ ^ [Y2: $i] :
( !!
@ ^ [Y3: $i] :
( ( in @ ( kpair @ Y2 @ Y3 ) @ ( dpsetconstr @ '#sk51' @ Y0 @ Y1 ) )
=> ( Y1 @ Y2 @ Y3 ) ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl24]) ).
thf(zip_derived_cl32,plain,
~ ( !!
@ ^ [Y0: $i > $i > $o] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( in @ ( kpair @ Y1 @ Y2 ) @ ( dpsetconstr @ '#sk51' @ '#sk53' @ Y0 ) )
=> ( Y0 @ Y1 @ Y2 ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl28]) ).
thf(zip_derived_cl35,plain,
~ ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( in @ ( kpair @ Y0 @ Y1 ) @ ( dpsetconstr @ '#sk51' @ '#sk53' @ '#sk55' ) )
=> ( '#sk55' @ Y0 @ Y1 ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl32]) ).
thf(zip_derived_cl38,plain,
~ ( !!
@ ^ [Y0: $i] :
( ( in @ ( kpair @ '#sk56' @ Y0 ) @ ( dpsetconstr @ '#sk51' @ '#sk53' @ '#sk55' ) )
=> ( '#sk55' @ '#sk56' @ Y0 ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl35]) ).
thf(zip_derived_cl41,plain,
~ ( ( in @ ( kpair @ '#sk56' @ '#sk57' ) @ ( dpsetconstr @ '#sk51' @ '#sk53' @ '#sk55' ) )
=> ( '#sk55' @ '#sk56' @ '#sk57' ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl38]) ).
thf(zip_derived_cl43,plain,
in @ ( kpair @ '#sk56' @ '#sk57' ) @ ( dpsetconstr @ '#sk51' @ '#sk53' @ '#sk55' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl41]) ).
thf(dpsetconstr,axiom,
( dpsetconstr
= ( ^ [A: $i,B: $i,Xphi: $i > $i > $o] :
( dsetconstr @ ( cartprod @ A @ B )
@ ^ [Xu: $i] :
? [Xx: $i] :
( ( in @ Xx @ A )
& ? [Xy: $i] :
( ( in @ Xy @ B )
& ( Xphi @ Xx @ Xy )
& ( Xu
= ( kpair @ Xx @ Xy ) ) ) ) ) ) ) ).
thf(zip_derived_cl0,plain,
( dpsetconstr
= ( ^ [Y0: $i,Y1: $i,Y2: $i > $i > $o] :
( dsetconstr @ ( cartprod @ Y0 @ Y1 )
@ ^ [Y3: $i] :
( ??
@ ^ [Y4: $i] :
( ( in @ Y4 @ Y0 )
& ( ??
@ ^ [Y5: $i] :
( ( in @ Y5 @ Y1 )
& ( Y2 @ Y4 @ Y5 )
& ( Y3
= ( kpair @ Y4 @ Y5 ) ) ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[dpsetconstr]) ).
thf(zip_derived_cl4,plain,
! [X1: $i,X2: $i,X3: $i > $i > $o] :
( ( dpsetconstr @ X1 @ X2 @ X3 )
= ( ^ [Y0: $i,Y1: $i,Y2: $i > $i > $o] :
( dsetconstr @ ( cartprod @ Y0 @ Y1 )
@ ^ [Y3: $i] :
( ??
@ ^ [Y4: $i] :
( ( in @ Y4 @ Y0 )
& ( ??
@ ^ [Y5: $i] :
( ( in @ Y5 @ Y1 )
& ( Y2 @ Y4 @ Y5 )
& ( Y3
= ( kpair @ Y4 @ Y5 ) ) ) ) ) ) )
@ X1
@ X2
@ X3 ) ),
inference(ho_complete_eq,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl7,plain,
! [X1: $i,X2: $i,X3: $i > $i > $o] :
( ( dpsetconstr @ X1 @ X2 @ X3 )
= ( dsetconstr @ ( cartprod @ X1 @ X2 )
@ ^ [Y0: $i] :
( ??
@ ^ [Y1: $i] :
( ( in @ Y1 @ X1 )
& ( ??
@ ^ [Y2: $i] :
( ( in @ Y2 @ X2 )
& ( X3 @ Y1 @ Y2 )
& ( Y0
= ( kpair @ Y1 @ Y2 ) ) ) ) ) ) ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl15,plain,
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i > $o] :
( !!
@ ^ [Y2: $i] :
( ( in @ Y2 @ ( dsetconstr @ Y0 @ Y1 ) )
=> ( Y1 @ Y2 ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl14]) ).
thf(zip_derived_cl17,plain,
! [X2: $i] :
( !!
@ ^ [Y0: $i > $o] :
( !!
@ ^ [Y1: $i] :
( ( in @ Y1 @ ( dsetconstr @ X2 @ Y0 ) )
=> ( Y0 @ Y1 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl15]) ).
thf(zip_derived_cl20,plain,
! [X2: $i,X4: $i > $o] :
( !!
@ ^ [Y0: $i] :
( ( in @ Y0 @ ( dsetconstr @ X2 @ X4 ) )
=> ( X4 @ Y0 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl17]) ).
thf(zip_derived_cl25,plain,
! [X2: $i,X4: $i > $o,X6: $i] :
( ( in @ X6 @ ( dsetconstr @ X2 @ X4 ) )
=> ( X4 @ X6 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl20]) ).
thf(zip_derived_cl29,plain,
! [X2: $i,X4: $i > $o,X6: $i] :
( ~ ( in @ X6 @ ( dsetconstr @ X2 @ X4 ) )
| ( X4 @ X6 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl25]) ).
thf(zip_derived_cl45,plain,
! [X0: $i > $i > $o,X1: $i,X2: $i,X3: $i] :
( ~ ( in @ X3 @ ( dpsetconstr @ X2 @ X1 @ X0 ) )
| ( ^ [Y0: $i] :
( ??
@ ^ [Y1: $i] :
( ( in @ Y1 @ X2 )
& ( ??
@ ^ [Y2: $i] :
( ( in @ Y2 @ X1 )
& ( X0 @ Y1 @ Y2 )
& ( Y0
= ( kpair @ Y1 @ Y2 ) ) ) ) ) )
@ X3 ) ),
inference('sup-',[status(thm)],[zip_derived_cl7,zip_derived_cl29]) ).
thf(zip_derived_cl54,plain,
! [X0: $i > $i > $o,X1: $i,X2: $i,X3: $i] :
( ~ ( in @ X3 @ ( dpsetconstr @ X2 @ X1 @ X0 ) )
| ( ??
@ ^ [Y0: $i] :
( ( in @ Y0 @ X2 )
& ( ??
@ ^ [Y1: $i] :
( ( in @ Y1 @ X1 )
& ( X0 @ Y0 @ Y1 )
& ( X3
= ( kpair @ Y0 @ Y1 ) ) ) ) ) ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl45]) ).
thf(zip_derived_cl60,plain,
! [X0: $i > $i > $o,X1: $i,X2: $i,X3: $i] :
( ( ( in @ ( '#sk74' @ X0 @ X1 @ X2 @ X3 ) @ X2 )
& ( ??
@ ^ [Y0: $i] :
( ( in @ Y0 @ X1 )
& ( X0 @ ( '#sk74' @ X0 @ X1 @ X2 @ X3 ) @ Y0 )
& ( X3
= ( kpair @ ( '#sk74' @ X0 @ X1 @ X2 @ X3 ) @ Y0 ) ) ) ) )
| ~ ( in @ X3 @ ( dpsetconstr @ X2 @ X1 @ X0 ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl54]) ).
thf(zip_derived_cl62,plain,
! [X0: $i > $i > $o,X1: $i,X2: $i,X3: $i] :
( ( ??
@ ^ [Y0: $i] :
( ( in @ Y0 @ X1 )
& ( X0 @ ( '#sk74' @ X0 @ X1 @ X2 @ X3 ) @ Y0 )
& ( X3
= ( kpair @ ( '#sk74' @ X0 @ X1 @ X2 @ X3 ) @ Y0 ) ) ) )
| ~ ( in @ X3 @ ( dpsetconstr @ X2 @ X1 @ X0 ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl60]) ).
thf(zip_derived_cl63,plain,
! [X0: $i > $i > $o,X1: $i,X2: $i,X3: $i] :
( ( ( in @ ( '#sk95' @ X0 @ X1 @ X2 @ X3 ) @ X1 )
& ( X0 @ ( '#sk74' @ X0 @ X1 @ X2 @ X3 ) @ ( '#sk95' @ X0 @ X1 @ X2 @ X3 ) )
& ( X3
= ( kpair @ ( '#sk74' @ X0 @ X1 @ X2 @ X3 ) @ ( '#sk95' @ X0 @ X1 @ X2 @ X3 ) ) ) )
| ~ ( in @ X3 @ ( dpsetconstr @ X2 @ X1 @ X0 ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl62]) ).
thf(zip_derived_cl65,plain,
! [X0: $i > $i > $o,X1: $i,X2: $i,X3: $i] :
( ( X0 @ ( '#sk74' @ X0 @ X1 @ X2 @ X3 ) @ ( '#sk95' @ X0 @ X1 @ X2 @ X3 ) )
| ~ ( in @ X3 @ ( dpsetconstr @ X2 @ X1 @ X0 ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl63]) ).
thf(zip_derived_cl132,plain,
'#sk55' @ ( '#sk74' @ '#sk55' @ '#sk53' @ '#sk51' @ ( kpair @ '#sk56' @ '#sk57' ) ) @ ( '#sk95' @ '#sk55' @ '#sk53' @ '#sk51' @ ( kpair @ '#sk56' @ '#sk57' ) ),
inference('sup-',[status(thm)],[zip_derived_cl43,zip_derived_cl65]) ).
thf(zip_derived_cl66,plain,
! [X0: $i > $i > $o,X1: $i,X2: $i,X3: $i] :
( ( X3
= ( kpair @ ( '#sk74' @ X0 @ X1 @ X2 @ X3 ) @ ( '#sk95' @ X0 @ X1 @ X2 @ X3 ) ) )
| ~ ( in @ X3 @ ( dpsetconstr @ X2 @ X1 @ X0 ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl63]) ).
thf(zip_derived_cl67,plain,
! [X0: $i > $i > $o,X1: $i,X2: $i,X3: $i] :
( ( X3
= ( kpair @ ( '#sk74' @ X0 @ X1 @ X2 @ X3 ) @ ( '#sk95' @ X0 @ X1 @ X2 @ X3 ) ) )
| ~ ( in @ X3 @ ( dpsetconstr @ X2 @ X1 @ X0 ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl66]) ).
thf(zip_derived_cl18,plain,
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( !!
@ ^ [Y3: $i] :
( ( ( kpair @ Y0 @ Y1 )
= ( kpair @ Y2 @ Y3 ) )
=> ( Y0 = Y2 ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl16]) ).
thf(zip_derived_cl22,plain,
! [X2: $i] :
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( ( kpair @ X2 @ Y0 )
= ( kpair @ Y1 @ Y2 ) )
=> ( X2 = Y1 ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl18]) ).
thf(zip_derived_cl26,plain,
! [X2: $i,X4: $i] :
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( ( kpair @ X2 @ X4 )
= ( kpair @ Y0 @ Y1 ) )
=> ( X2 = Y0 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl22]) ).
thf(zip_derived_cl30,plain,
! [X2: $i,X4: $i,X6: $i] :
( !!
@ ^ [Y0: $i] :
( ( ( kpair @ X2 @ X4 )
= ( kpair @ X6 @ Y0 ) )
=> ( X2 = X6 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl26]) ).
thf(zip_derived_cl33,plain,
! [X2: $i,X4: $i,X6: $i,X8: $i] :
( ( ( kpair @ X2 @ X4 )
= ( kpair @ X6 @ X8 ) )
=> ( X2 = X6 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl30]) ).
thf(zip_derived_cl36,plain,
! [X2: $i,X4: $i,X6: $i,X8: $i] :
( ( ( kpair @ X2 @ X4 )
!= ( kpair @ X6 @ X8 ) )
| ( X2 = X6 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl33]) ).
thf(zip_derived_cl39,plain,
! [X2: $i,X4: $i,X6: $i,X8: $i] :
( ( ( kpair @ X2 @ X4 )
!= ( kpair @ X6 @ X8 ) )
| ( X2 = X6 ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl36]) ).
thf(zip_derived_cl73,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i > $i > $o,X4: $i,X5: $i] :
( ( ( kpair @ X5 @ X4 )
!= X0 )
| ~ ( in @ X0 @ ( dpsetconstr @ X1 @ X2 @ X3 ) )
| ( X5
= ( '#sk74' @ X3 @ X2 @ X1 @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl67,zip_derived_cl39]) ).
thf(zip_derived_cl81,plain,
! [X1: $i,X2: $i,X3: $i > $i > $o,X4: $i,X5: $i] :
( ( X5
= ( '#sk74' @ X3 @ X2 @ X1 @ ( kpair @ X5 @ X4 ) ) )
| ~ ( in @ ( kpair @ X5 @ X4 ) @ ( dpsetconstr @ X1 @ X2 @ X3 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl73]) ).
thf(zip_derived_cl43_001,plain,
in @ ( kpair @ '#sk56' @ '#sk57' ) @ ( dpsetconstr @ '#sk51' @ '#sk53' @ '#sk55' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl41]) ).
thf(zip_derived_cl116,plain,
( '#sk56'
= ( '#sk74' @ '#sk55' @ '#sk53' @ '#sk51' @ ( kpair @ '#sk56' @ '#sk57' ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl81,zip_derived_cl43]) ).
thf(zip_derived_cl67_002,plain,
! [X0: $i > $i > $o,X1: $i,X2: $i,X3: $i] :
( ( X3
= ( kpair @ ( '#sk74' @ X0 @ X1 @ X2 @ X3 ) @ ( '#sk95' @ X0 @ X1 @ X2 @ X3 ) ) )
| ~ ( in @ X3 @ ( dpsetconstr @ X2 @ X1 @ X0 ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl66]) ).
thf(zip_derived_cl23,plain,
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( !!
@ ^ [Y3: $i] :
( ( ( kpair @ Y0 @ Y1 )
= ( kpair @ Y2 @ Y3 ) )
=> ( Y1 = Y3 ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl19]) ).
thf(zip_derived_cl27,plain,
! [X2: $i] :
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( ( kpair @ X2 @ Y0 )
= ( kpair @ Y1 @ Y2 ) )
=> ( Y0 = Y2 ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl23]) ).
thf(zip_derived_cl31,plain,
! [X2: $i,X4: $i] :
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( ( kpair @ X2 @ X4 )
= ( kpair @ Y0 @ Y1 ) )
=> ( X4 = Y1 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl27]) ).
thf(zip_derived_cl34,plain,
! [X2: $i,X4: $i,X6: $i] :
( !!
@ ^ [Y0: $i] :
( ( ( kpair @ X2 @ X4 )
= ( kpair @ X6 @ Y0 ) )
=> ( X4 = Y0 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl31]) ).
thf(zip_derived_cl37,plain,
! [X2: $i,X4: $i,X6: $i,X8: $i] :
( ( ( kpair @ X2 @ X4 )
= ( kpair @ X6 @ X8 ) )
=> ( X4 = X8 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl34]) ).
thf(zip_derived_cl40,plain,
! [X2: $i,X4: $i,X6: $i,X8: $i] :
( ( ( kpair @ X2 @ X4 )
!= ( kpair @ X6 @ X8 ) )
| ( X4 = X8 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl37]) ).
thf(zip_derived_cl42,plain,
! [X2: $i,X4: $i,X6: $i,X8: $i] :
( ( ( kpair @ X2 @ X4 )
!= ( kpair @ X6 @ X8 ) )
| ( X4 = X8 ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl40]) ).
thf(zip_derived_cl72,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i > $i > $o,X4: $i,X5: $i] :
( ( ( kpair @ X5 @ X4 )
!= X0 )
| ~ ( in @ X0 @ ( dpsetconstr @ X1 @ X2 @ X3 ) )
| ( X4
= ( '#sk95' @ X3 @ X2 @ X1 @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl67,zip_derived_cl42]) ).
thf(zip_derived_cl80,plain,
! [X1: $i,X2: $i,X3: $i > $i > $o,X4: $i,X5: $i] :
( ( X4
= ( '#sk95' @ X3 @ X2 @ X1 @ ( kpair @ X5 @ X4 ) ) )
| ~ ( in @ ( kpair @ X5 @ X4 ) @ ( dpsetconstr @ X1 @ X2 @ X3 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl72]) ).
thf(zip_derived_cl43_003,plain,
in @ ( kpair @ '#sk56' @ '#sk57' ) @ ( dpsetconstr @ '#sk51' @ '#sk53' @ '#sk55' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl41]) ).
thf(zip_derived_cl92,plain,
( '#sk57'
= ( '#sk95' @ '#sk55' @ '#sk53' @ '#sk51' @ ( kpair @ '#sk56' @ '#sk57' ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl80,zip_derived_cl43]) ).
thf(zip_derived_cl44,plain,
~ ( '#sk55' @ '#sk56' @ '#sk57' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl41]) ).
thf(zip_derived_cl142,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl132,zip_derived_cl116,zip_derived_cl92,zip_derived_cl44]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10 % Problem : SEU671^2 : TPTP v9.2.0. Released v3.7.0.
% 0.02/0.11 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.UrsfoMUgIp true
% 0.09/0.30 % Computer : n004.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 300
% 0.09/0.30 % WCLimit : 300
% 0.09/0.30 % DateTime : Wed Oct 1 16:11:38 EDT 2025
% 0.09/0.30 % CPUTime :
% 0.09/0.30 % Running portfolio for 300 s
% 0.09/0.30 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.30 % Number of cores: 8
% 0.09/0.31 % Python version: Python 3.6.8
% 0.09/0.31 % Running in HO mode
% 0.73/0.60 % Total configuration time : 828
% 0.73/0.60 % Estimated wc time : 1656
% 0.73/0.60 % Estimated cpu time (8 cpus) : 207.0
% 1.10/0.65 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 1.19/0.66 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 1.19/0.66 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 1.19/0.66 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 1.19/0.66 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 1.19/0.67 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 1.19/0.68 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 1.19/0.68 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 1.30/0.85 % Solved by lams/35_full_unif4.sh.
% 1.30/0.85 % done 36 iterations in 0.153s
% 1.30/0.85 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.30/0.85 % SZS output start Refutation
% See solution above
% 1.30/0.85
% 1.30/0.85
% 1.30/0.85 % Terminating...
% 1.68/0.93 % Runner terminated.
% 1.81/0.95 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------