%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU695^2 : 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.AgXHYeaMIE true
% Computer : n023.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 04:55:49 PM UTC 2025
% Result : Theorem 3.25s 1.37s
% Output : Refutation 3.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 10
% Syntax : Number of formulae : 46 ( 18 unt; 0 typ; 0 def)
% Number of atoms : 177 ( 55 equ; 0 cnn)
% Maximal formula atoms : 16 ( 3 avg)
% Number of connectives : 729 ( 56 ~; 40 |; 0 &; 579 @)
% ( 0 <=>; 54 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 26 ( 26 >; 0 *; 0 +; 0 <<)
% Number of symbols : 16 ( 14 usr; 7 con; 0-4 aty)
% Number of variables : 170 ( 67 ^; 103 !; 0 ?; 170 :)
% Comments :
%------------------------------------------------------------------------------
thf(lam_type,type,
lam: $i > $i > ( $i > $i ) > $i ).
thf(sk__17_type,type,
sk__17: $i > $i ).
thf(func_type,type,
func: $i > $i > $i > $o ).
thf(in_type,type,
in: $i > $i > $o ).
thf(dpsetconstr_type,type,
dpsetconstr: $i > $i > ( $i > $i > $o ) > $i ).
thf(sk__14_type,type,
sk__14: ( $i > $i ) > $i > $i > $i ).
thf(sk__16_type,type,
sk__16: $i ).
thf(lamp_type,type,
lamp: $o ).
thf(sk__18_type,type,
sk__18: $i ).
thf(dpsetconstrI_type,type,
dpsetconstrI: $o ).
thf(kpair_type,type,
kpair: $i > $i > $i ).
thf(sk__15_type,type,
sk__15: $i ).
thf(funcGraphProp2_type,type,
funcGraphProp2: $o ).
thf(ap_type,type,
ap: $i > $i > $i > $i > $i ).
thf(funcGraphProp2,axiom,
( funcGraphProp2
= ( ! [A: $i,B: $i,Xf: $i] :
( ( func @ A @ B @ Xf )
=> ! [Xx: $i] :
( ( in @ Xx @ A )
=> ! [Xy: $i] :
( ( in @ Xy @ B )
=> ( ( in @ ( kpair @ Xx @ Xy ) @ Xf )
=> ( ( ap @ A @ B @ Xf @ Xx )
= Xy ) ) ) ) ) ) ) ).
thf('0',plain,
( funcGraphProp2
= ( ! [X4: $i,X6: $i,X8: $i] :
( ( func @ X4 @ X6 @ X8 )
=> ! [X10: $i] :
( ( in @ X10 @ X4 )
=> ! [X12: $i] :
( ( in @ X12 @ X6 )
=> ( ( in @ ( kpair @ X10 @ X12 ) @ X8 )
=> ( ( ap @ X4 @ X6 @ X8 @ X10 )
= X12 ) ) ) ) ) ) ),
define([status(thm)]) ).
thf(lamp,axiom,
( lamp
= ( ! [A: $i,B: $i,Xf: $i > $i] :
( ! [Xx: $i] :
( ( in @ Xx @ A )
=> ( in @ ( Xf @ Xx ) @ B ) )
=> ( func @ A @ B
@ ( lam @ A @ B
@ ^ [Xx: $i] : ( Xf @ Xx ) ) ) ) ) ) ).
thf('1',plain,
( lamp
= ( ! [X4: $i,X6: $i,X8: $i > $i] :
( ! [X10: $i] :
( ( in @ X10 @ X4 )
=> ( in @ ( X8 @ X10 ) @ X6 ) )
=> ( func @ X4 @ X6
@ ( lam @ X4 @ X6
@ ^ [V_1: $i] : ( X8 @ V_1 ) ) ) ) ) ),
define([status(thm)]) ).
thf(lam,axiom,
( lam
= ( ^ [A: $i,B: $i,Xf: $i > $i] :
( dpsetconstr @ A @ B
@ ^ [Xx: $i,Xy: $i] :
( ( Xf @ Xx )
= Xy ) ) ) ) ).
thf('2',plain,
( lam
= ( ^ [A: $i,B: $i,Xf: $i > $i] :
( dpsetconstr @ A @ B
@ ^ [Xx: $i,Xy: $i] :
( ( Xf @ Xx )
= Xy ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[lam]) ).
thf('3',plain,
( lam
= ( ^ [V_1: $i,V_2: $i,V_3: $i > $i] :
( dpsetconstr @ V_1 @ V_2
@ ^ [V_4: $i,V_5: $i] :
( ( V_3 @ V_4 )
= V_5 ) ) ) ),
define([status(thm)]) ).
thf(dpsetconstrI,axiom,
( dpsetconstrI
= ( ! [A: $i,B: $i,Xphi: $i > $i > $o,Xx: $i] :
( ( in @ Xx @ A )
=> ! [Xy: $i] :
( ( in @ Xy @ B )
=> ( ( Xphi @ Xx @ Xy )
=> ( in @ ( kpair @ Xx @ Xy )
@ ( dpsetconstr @ A @ B
@ ^ [Xz: $i,Xu: $i] : ( Xphi @ Xz @ Xu ) ) ) ) ) ) ) ) ).
thf('4',plain,
( dpsetconstrI
= ( ! [X4: $i,X6: $i,X8: $i > $i > $o,X10: $i] :
( ( in @ X10 @ X4 )
=> ! [X12: $i] :
( ( in @ X12 @ X6 )
=> ( ( X8 @ X10 @ X12 )
=> ( in @ ( kpair @ X10 @ X12 )
@ ( dpsetconstr @ X4 @ X6
@ ^ [V_1: $i,V_2: $i] : ( X8 @ V_1 @ V_2 ) ) ) ) ) ) ) ),
define([status(thm)]) ).
thf(beta1,conjecture,
( dpsetconstrI
=> ( lamp
=> ( funcGraphProp2
=> ! [A: $i,B: $i,Xf: $i > $i] :
( ! [Xx: $i] :
( ( in @ Xx @ A )
=> ( in @ ( Xf @ Xx ) @ B ) )
=> ! [Xx: $i] :
( ( in @ Xx @ A )
=> ( ( ap @ A @ B
@ ( lam @ A @ B
@ ^ [Xy: $i] : ( Xf @ Xy ) )
@ Xx )
= ( Xf @ Xx ) ) ) ) ) ) ) ).
thf(zf_stmt_0,conjecture,
( ! [X4: $i,X6: $i,X8: $i > $i > $o,X10: $i] :
( ( in @ X10 @ X4 )
=> ! [X12: $i] :
( ( in @ X12 @ X6 )
=> ( ( X8 @ X10 @ X12 )
=> ( in @ ( kpair @ X10 @ X12 )
@ ( dpsetconstr @ X4 @ X6
@ ^ [V_1: $i,V_2: $i] : ( X8 @ V_1 @ V_2 ) ) ) ) ) )
=> ( ! [X14: $i,X16: $i,X18: $i > $i] :
( ! [X20: $i] :
( ( in @ X20 @ X14 )
=> ( in @ ( X18 @ X20 ) @ X16 ) )
=> ( func @ X14 @ X16
@ ( dpsetconstr @ X14 @ X16
@ ^ [V_3: $i,V_4: $i] :
( ( X18 @ V_3 )
= V_4 ) ) ) )
=> ( ! [X22: $i,X24: $i,X26: $i] :
( ( func @ X22 @ X24 @ X26 )
=> ! [X28: $i] :
( ( in @ X28 @ X22 )
=> ! [X30: $i] :
( ( in @ X30 @ X24 )
=> ( ( in @ ( kpair @ X28 @ X30 ) @ X26 )
=> ( ( ap @ X22 @ X24 @ X26 @ X28 )
= X30 ) ) ) ) )
=> ! [X32: $i,X34: $i,X36: $i > $i] :
( ! [X38: $i] :
( ( in @ X38 @ X32 )
=> ( in @ ( X36 @ X38 ) @ X34 ) )
=> ! [X40: $i] :
( ( in @ X40 @ X32 )
=> ( ( ap @ X32 @ X34
@ ( dpsetconstr @ X32 @ X34
@ ^ [V_5: $i,V_6: $i] :
( ( X36 @ V_5 )
= V_6 ) )
@ X40 )
= ( X36 @ X40 ) ) ) ) ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ( ! [X4: $i,X6: $i,X8: $i > $i > $o,X10: $i] :
( ( in @ X10 @ X4 )
=> ! [X12: $i] :
( ( in @ X12 @ X6 )
=> ( ( X8 @ X10 @ X12 )
=> ( in @ ( kpair @ X10 @ X12 )
@ ( dpsetconstr @ X4 @ X6
@ ^ [V_1: $i,V_2: $i] : ( X8 @ V_1 @ V_2 ) ) ) ) ) )
=> ( ! [X14: $i,X16: $i,X18: $i > $i] :
( ! [X20: $i] :
( ( in @ X20 @ X14 )
=> ( in @ ( X18 @ X20 ) @ X16 ) )
=> ( func @ X14 @ X16
@ ( dpsetconstr @ X14 @ X16
@ ^ [V_3: $i,V_4: $i] :
( ( X18 @ V_3 )
= V_4 ) ) ) )
=> ( ! [X22: $i,X24: $i,X26: $i] :
( ( func @ X22 @ X24 @ X26 )
=> ! [X28: $i] :
( ( in @ X28 @ X22 )
=> ! [X30: $i] :
( ( in @ X30 @ X24 )
=> ( ( in @ ( kpair @ X28 @ X30 ) @ X26 )
=> ( ( ap @ X22 @ X24 @ X26 @ X28 )
= X30 ) ) ) ) )
=> ! [X32: $i,X34: $i,X36: $i > $i] :
( ! [X38: $i] :
( ( in @ X38 @ X32 )
=> ( in @ ( X36 @ X38 ) @ X34 ) )
=> ! [X40: $i] :
( ( in @ X40 @ X32 )
=> ( ( ap @ X32 @ X34
@ ( dpsetconstr @ X32 @ X34
@ ^ [V_5: $i,V_6: $i] :
( ( X36 @ V_5 )
= V_6 ) )
@ X40 )
= ( X36 @ X40 ) ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl4,plain,
! [X10: $i] :
( ( in @ ( sk__17 @ X10 ) @ sk__16 )
| ~ ( in @ X10 @ sk__15 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl0,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i > $i > $o] :
( ~ ( in @ X0 @ X1 )
| ( in @ ( kpair @ X2 @ X0 )
@ ( dpsetconstr @ X3 @ X1
@ ^ [Y0: $i,Y1: $i] : ( X4 @ Y0 @ Y1 ) ) )
| ~ ( X4 @ X2 @ X0 )
| ~ ( in @ X2 @ X3 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl9,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i > $i > $o] :
( ~ ( in @ X0 @ X1 )
| ( in @ ( kpair @ X2 @ X0 ) @ ( dpsetconstr @ X3 @ X1 @ X4 ) )
| ~ ( X4 @ X2 @ X0 )
| ~ ( in @ X2 @ X3 ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl4_001,plain,
! [X10: $i] :
( ( in @ ( sk__17 @ X10 ) @ sk__16 )
| ~ ( in @ X10 @ sk__15 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl5,plain,
! [X11: $i,X12: $i,X13: $i > $i] :
( ( func @ X11 @ X12
@ ( dpsetconstr @ X11 @ X12
@ ^ [Y0: $i,Y1: $i] :
( ( X13 @ Y0 )
= Y1 ) ) )
| ~ ( in @ ( X13 @ ( sk__14 @ X13 @ X12 @ X11 ) ) @ X12 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl150,plain,
! [X11: $i,X12: $i,X13: $i > $i] :
( ( func @ X11 @ X12
@ ( dpsetconstr @ X11 @ X12
@ ^ [Y0: $i] :
( $i
= ( X13 @ Y0 ) ) ) )
| ~ ( in @ ( X13 @ ( sk__14 @ X13 @ X12 @ X11 ) ) @ X12 ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl4_002,plain,
! [X10: $i] :
( ( in @ ( sk__17 @ X10 ) @ sk__16 )
| ~ ( in @ X10 @ sk__15 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl1,plain,
! [X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( ~ ( in @ X5 @ X6 )
| ~ ( in @ ( kpair @ X5 @ X7 ) @ X8 )
| ( ( ap @ X6 @ X9 @ X8 @ X5 )
= X7 )
| ~ ( in @ X7 @ X9 )
| ~ ( func @ X6 @ X9 @ X8 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl3,plain,
( ( ap @ sk__15 @ sk__16
@ ( dpsetconstr @ sk__15 @ sk__16
@ ^ [Y0: $i,Y1: $i] :
( ( sk__17 @ Y0 )
= Y1 ) )
@ sk__18 )
!= ( sk__17 @ sk__18 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl8,plain,
( ( ap @ sk__15 @ sk__16
@ ( dpsetconstr @ sk__15 @ sk__16
@ ^ [Y0: $i] :
( $i
= ( sk__17 @ Y0 ) ) )
@ sk__18 )
!= ( sk__17 @ sk__18 ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl3]) ).
thf(zip_derived_cl84,plain,
! [X0: $i] :
( ( X0
!= ( sk__17 @ sk__18 ) )
| ~ ( func @ sk__15 @ sk__16
@ ( dpsetconstr @ sk__15 @ sk__16
@ ^ [Y0: $i] :
( $i
= ( sk__17 @ Y0 ) ) ) )
| ~ ( in @ X0 @ sk__16 )
| ~ ( in @ ( kpair @ sk__18 @ X0 )
@ ( dpsetconstr @ sk__15 @ sk__16
@ ^ [Y0: $i] :
( $i
= ( sk__17 @ Y0 ) ) ) )
| ~ ( in @ sk__18 @ sk__15 ) ),
inference('sup-',[status(thm)],[zip_derived_cl1,zip_derived_cl8]) ).
thf(zip_derived_cl2,plain,
in @ sk__18 @ sk__15,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl111,plain,
! [X0: $i] :
( ( X0
!= ( sk__17 @ sk__18 ) )
| ~ ( func @ sk__15 @ sk__16
@ ( dpsetconstr @ sk__15 @ sk__16
@ ^ [Y0: $i] :
( $i
= ( sk__17 @ Y0 ) ) ) )
| ~ ( in @ X0 @ sk__16 )
| ~ ( in @ ( kpair @ sk__18 @ X0 )
@ ( dpsetconstr @ sk__15 @ sk__16
@ ^ [Y0: $i] :
( $i
= ( sk__17 @ Y0 ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl84,zip_derived_cl2]) ).
thf(zip_derived_cl112,plain,
( ~ ( in @ ( kpair @ sk__18 @ ( sk__17 @ sk__18 ) )
@ ( dpsetconstr @ sk__15 @ sk__16
@ ^ [Y0: $i] :
( $i
= ( sk__17 @ Y0 ) ) ) )
| ~ ( in @ ( sk__17 @ sk__18 ) @ sk__16 )
| ~ ( func @ sk__15 @ sk__16
@ ( dpsetconstr @ sk__15 @ sk__16
@ ^ [Y0: $i] :
( $i
= ( sk__17 @ Y0 ) ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl111]) ).
thf(zip_derived_cl119,plain,
( ~ ( in @ sk__18 @ sk__15 )
| ~ ( func @ sk__15 @ sk__16
@ ( dpsetconstr @ sk__15 @ sk__16
@ ^ [Y0: $i] :
( $i
= ( sk__17 @ Y0 ) ) ) )
| ~ ( in @ ( kpair @ sk__18 @ ( sk__17 @ sk__18 ) )
@ ( dpsetconstr @ sk__15 @ sk__16
@ ^ [Y0: $i] :
( $i
= ( sk__17 @ Y0 ) ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl112]) ).
thf(zip_derived_cl2_003,plain,
in @ sk__18 @ sk__15,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl121,plain,
( ~ ( func @ sk__15 @ sk__16
@ ( dpsetconstr @ sk__15 @ sk__16
@ ^ [Y0: $i] :
( $i
= ( sk__17 @ Y0 ) ) ) )
| ~ ( in @ ( kpair @ sk__18 @ ( sk__17 @ sk__18 ) )
@ ( dpsetconstr @ sk__15 @ sk__16
@ ^ [Y0: $i] :
( $i
= ( sk__17 @ Y0 ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl119,zip_derived_cl2]) ).
thf(zip_derived_cl153,plain,
( ~ ( in
@ ( ^ [Y0: $i] : ( sk__17 @ Y0 )
@ ( sk__14
@ ^ [Y0: $i] : ( sk__17 @ Y0 )
@ sk__16
@ sk__15 ) )
@ sk__16 )
| ~ ( in @ ( kpair @ sk__18 @ ( sk__17 @ sk__18 ) )
@ ( dpsetconstr @ sk__15 @ sk__16
@ ^ [Y0: $i] :
( $i
= ( sk__17 @ Y0 ) ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl150,zip_derived_cl121]) ).
thf(zip_derived_cl180,plain,
( ~ ( in @ ( sk__17 @ ( sk__14 @ sk__17 @ sk__16 @ sk__15 ) ) @ sk__16 )
| ~ ( in @ ( kpair @ sk__18 @ ( sk__17 @ sk__18 ) )
@ ( dpsetconstr @ sk__15 @ sk__16
@ ^ [Y0: $i] :
( $i
= ( sk__17 @ Y0 ) ) ) ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl153]) ).
thf(zip_derived_cl204,plain,
( ~ ( in @ ( sk__14 @ sk__17 @ sk__16 @ sk__15 ) @ sk__15 )
| ~ ( in @ ( kpair @ sk__18 @ ( sk__17 @ sk__18 ) )
@ ( dpsetconstr @ sk__15 @ sk__16
@ ^ [Y0: $i] :
( $i
= ( sk__17 @ Y0 ) ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl180]) ).
thf(zip_derived_cl6,plain,
! [X11: $i,X12: $i,X13: $i > $i] :
( ( func @ X11 @ X12
@ ( dpsetconstr @ X11 @ X12
@ ^ [Y0: $i,Y1: $i] :
( ( X13 @ Y0 )
= Y1 ) ) )
| ( in @ ( sk__14 @ X13 @ X12 @ X11 ) @ X11 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl7,plain,
! [X11: $i,X12: $i,X13: $i > $i] :
( ( func @ X11 @ X12
@ ( dpsetconstr @ X11 @ X12
@ ^ [Y0: $i] :
( $i
= ( X13 @ Y0 ) ) ) )
| ( in @ ( sk__14 @ X13 @ X12 @ X11 ) @ X11 ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl6]) ).
thf(zip_derived_cl121_004,plain,
( ~ ( func @ sk__15 @ sk__16
@ ( dpsetconstr @ sk__15 @ sk__16
@ ^ [Y0: $i] :
( $i
= ( sk__17 @ Y0 ) ) ) )
| ~ ( in @ ( kpair @ sk__18 @ ( sk__17 @ sk__18 ) )
@ ( dpsetconstr @ sk__15 @ sk__16
@ ^ [Y0: $i] :
( $i
= ( sk__17 @ Y0 ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl119,zip_derived_cl2]) ).
thf(zip_derived_cl129,plain,
( ( in
@ ( sk__14
@ ^ [Y0: $i] : ( sk__17 @ Y0 )
@ sk__16
@ sk__15 )
@ sk__15 )
| ~ ( in @ ( kpair @ sk__18 @ ( sk__17 @ sk__18 ) )
@ ( dpsetconstr @ sk__15 @ sk__16
@ ^ [Y0: $i] :
( $i
= ( sk__17 @ Y0 ) ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl7,zip_derived_cl121]) ).
thf(zip_derived_cl134,plain,
( ( in @ ( sk__14 @ sk__17 @ sk__16 @ sk__15 ) @ sk__15 )
| ~ ( in @ ( kpair @ sk__18 @ ( sk__17 @ sk__18 ) )
@ ( dpsetconstr @ sk__15 @ sk__16
@ ^ [Y0: $i] :
( $i
= ( sk__17 @ Y0 ) ) ) ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl129]) ).
thf(zip_derived_cl206,plain,
~ ( in @ ( kpair @ sk__18 @ ( sk__17 @ sk__18 ) )
@ ( dpsetconstr @ sk__15 @ sk__16
@ ^ [Y0: $i] :
( $i
= ( sk__17 @ Y0 ) ) ) ),
inference(clc,[status(thm)],[zip_derived_cl204,zip_derived_cl134]) ).
thf(zip_derived_cl210,plain,
( ~ ( in @ sk__18 @ sk__15 )
| ~ ( ^ [Y0: $i] :
( $i
= ( sk__17 @ Y0 ) )
@ sk__18
@ ( sk__17 @ sk__18 ) )
| ~ ( in @ ( sk__17 @ sk__18 ) @ sk__16 ) ),
inference('sup-',[status(thm)],[zip_derived_cl9,zip_derived_cl206]) ).
thf(zip_derived_cl211,plain,
( ~ ( in @ sk__18 @ sk__15 )
| ( ( sk__17 @ sk__18 )
!= ( sk__17 @ sk__18 ) )
| ~ ( in @ ( sk__17 @ sk__18 ) @ sk__16 ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl210]) ).
thf(zip_derived_cl2_005,plain,
in @ sk__18 @ sk__15,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl212,plain,
( ( ( sk__17 @ sk__18 )
!= ( sk__17 @ sk__18 ) )
| ~ ( in @ ( sk__17 @ sk__18 ) @ sk__16 ) ),
inference(demod,[status(thm)],[zip_derived_cl211,zip_derived_cl2]) ).
thf(zip_derived_cl213,plain,
~ ( in @ ( sk__17 @ sk__18 ) @ sk__16 ),
inference('simplify boolean subterms',[status(thm)],[zip_derived_cl212]) ).
thf(zip_derived_cl221,plain,
~ ( in @ sk__18 @ sk__15 ),
inference('sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl213]) ).
thf(zip_derived_cl2_006,plain,
in @ sk__18 @ sk__15,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl223,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl221,zip_derived_cl2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : SEU695^2 : TPTP v9.2.0. Released v3.7.0.
% 0.08/0.15 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.AgXHYeaMIE true
% 0.15/0.37 % Computer : n023.cluster.edu
% 0.15/0.37 % Model : x86_64 x86_64
% 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37 % Memory : 8042.1875MB
% 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 300
% 0.15/0.37 % WCLimit : 300
% 0.15/0.37 % DateTime : Wed Oct 1 16:09:38 EDT 2025
% 0.15/0.37 % CPUTime :
% 0.15/0.37 % Running portfolio for 300 s
% 0.15/0.37 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.37 % Number of cores: 8
% 0.15/0.38 % Python version: Python 3.6.8
% 0.15/0.38 % Running in HO mode
% 0.55/0.65 % Total configuration time : 828
% 0.55/0.65 % Estimated wc time : 1656
% 0.55/0.65 % Estimated cpu time (8 cpus) : 207.0
% 0.55/0.78 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.55/0.81 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.55/0.83 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.55/0.83 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.55/0.83 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.55/0.84 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.55/0.84 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.56/0.86 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 3.25/1.37 % Solved by lams/40_c.s.sh.
% 3.25/1.37 % done 18 iterations in 0.562s
% 3.25/1.37 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 3.25/1.37 % SZS output start Refutation
% See solution above
% 3.25/1.37
% 3.25/1.37
% 3.25/1.38 % Terminating...
% 3.81/1.54 % Runner terminated.
% 3.84/1.57 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------