%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU427+1 : TPTP v9.2.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.KplCGBBqE5 true
% Computer : n028.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 04:54:36 PM UTC 2025
% Result : Theorem 6.65s 1.98s
% Output : Refutation 6.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 14
% Syntax : Number of formulae : 88 ( 27 unt; 0 typ; 0 def)
% Number of atoms : 193 ( 57 equ; 0 cnn)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 1451 ( 102 ~; 81 |; 5 &;1244 @)
% ( 0 <=>; 19 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 8 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 25 ( 23 usr; 7 con; 0-4 aty)
% Number of variables : 146 ( 0 ^; 146 !; 0 ?; 146 :)
% Comments :
%------------------------------------------------------------------------------
thf(v1_funct_2_type,type,
v1_funct_2: $i > $i > $i > $o ).
thf(sk__3_type,type,
sk__3: $i ).
thf(k9_relat_1_type,type,
k9_relat_1: $i > $i > $i ).
thf(k5_relset_2_type,type,
k5_relset_2: $i > $i > $i ).
thf(k4_subset_1_type,type,
k4_subset_1: $i > $i > $i > $i ).
thf(m1_subset_1_type,type,
m1_subset_1: $i > $i > $o ).
thf(k1_xboole_0_type,type,
k1_xboole_0: $i ).
thf(sk__type,type,
sk_: $i ).
thf(sk__1_type,type,
sk__1: $i ).
thf(v1_funct_1_type,type,
v1_funct_1: $i > $o ).
thf(k8_setfam_1_type,type,
k8_setfam_1: $i > $i > $i ).
thf(k2_xboole_0_type,type,
k2_xboole_0: $i > $i > $i ).
thf(k7_relset_2_type,type,
k7_relset_2: $i > $i > $i > $i > $i ).
thf(k4_relset_2_type,type,
k4_relset_2: $i > $i > $i > $i > $i ).
thf(v1_relat_1_type,type,
v1_relat_1: $i > $o ).
thf(k3_pua2mss1_type,type,
k3_pua2mss1: $i > $i ).
thf(k2_zfmisc_1_type,type,
k2_zfmisc_1: $i > $i > $i ).
thf(sk__2_type,type,
sk__2: $i ).
thf(sk__4_type,type,
sk__4: $i ).
thf(k8_relset_2_type,type,
k8_relset_2: $i > $i > $i > $i > $i ).
thf(m2_relset_1_type,type,
m2_relset_1: $i > $i > $i > $o ).
thf(k1_zfmisc_1_type,type,
k1_zfmisc_1: $i > $i ).
thf(k6_relset_2_type,type,
k6_relset_2: $i > $i > $i > $i ).
thf(redefinition_k4_subset_1,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) )
& ( m1_subset_1 @ C @ ( k1_zfmisc_1 @ A ) ) )
=> ( ( k4_subset_1 @ A @ B @ C )
= ( k2_xboole_0 @ B @ C ) ) ) ).
thf(zip_derived_cl60,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( m1_subset_1 @ X0 @ ( k1_zfmisc_1 @ X1 ) )
| ~ ( m1_subset_1 @ X2 @ ( k1_zfmisc_1 @ X1 ) )
| ( ( k4_subset_1 @ X1 @ X0 @ X2 )
= ( k2_xboole_0 @ X0 @ X2 ) ) ),
inference(cnf,[status(esa)],[redefinition_k4_subset_1]) ).
thf(dt_k4_subset_1,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) )
& ( m1_subset_1 @ C @ ( k1_zfmisc_1 @ A ) ) )
=> ( m1_subset_1 @ ( k4_subset_1 @ A @ B @ C ) @ ( k1_zfmisc_1 @ A ) ) ) ).
thf(zip_derived_cl17,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( m1_subset_1 @ X0 @ ( k1_zfmisc_1 @ X1 ) )
| ~ ( m1_subset_1 @ X2 @ ( k1_zfmisc_1 @ X1 ) )
| ( m1_subset_1 @ ( k4_subset_1 @ X1 @ X0 @ X2 ) @ ( k1_zfmisc_1 @ X1 ) ) ),
inference(cnf,[status(esa)],[dt_k4_subset_1]) ).
thf(zip_derived_cl532,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( m1_subset_1 @ ( k2_xboole_0 @ X1 @ X0 ) @ ( k1_zfmisc_1 @ X2 ) )
| ~ ( m1_subset_1 @ X0 @ ( k1_zfmisc_1 @ X2 ) )
| ~ ( m1_subset_1 @ X1 @ ( k1_zfmisc_1 @ X2 ) )
| ~ ( m1_subset_1 @ X0 @ ( k1_zfmisc_1 @ X2 ) )
| ~ ( m1_subset_1 @ X1 @ ( k1_zfmisc_1 @ X2 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl60,zip_derived_cl17]) ).
thf(zip_derived_cl538,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( m1_subset_1 @ X1 @ ( k1_zfmisc_1 @ X2 ) )
| ~ ( m1_subset_1 @ X0 @ ( k1_zfmisc_1 @ X2 ) )
| ( m1_subset_1 @ ( k2_xboole_0 @ X1 @ X0 ) @ ( k1_zfmisc_1 @ X2 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl532]) ).
thf(t3_relset_2,axiom,
! [A: $i,B: $i] :
( ( k3_pua2mss1 @ ( k2_xboole_0 @ A @ B ) )
= ( k2_xboole_0 @ ( k3_pua2mss1 @ A ) @ ( k3_pua2mss1 @ B ) ) ) ).
thf(zip_derived_cl70,plain,
! [X0: $i,X1: $i] :
( ( k3_pua2mss1 @ ( k2_xboole_0 @ X0 @ X1 ) )
= ( k2_xboole_0 @ ( k3_pua2mss1 @ X0 ) @ ( k3_pua2mss1 @ X1 ) ) ),
inference(cnf,[status(esa)],[t3_relset_2]) ).
thf(t153_relat_1,axiom,
! [A: $i,B: $i,C: $i] :
( ( v1_relat_1 @ C )
=> ( ( k9_relat_1 @ C @ ( k2_xboole_0 @ A @ B ) )
= ( k2_xboole_0 @ ( k9_relat_1 @ C @ A ) @ ( k9_relat_1 @ C @ B ) ) ) ) ).
thf(zip_derived_cl66,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( k9_relat_1 @ X0 @ ( k2_xboole_0 @ X1 @ X2 ) )
= ( k2_xboole_0 @ ( k9_relat_1 @ X0 @ X1 ) @ ( k9_relat_1 @ X0 @ X2 ) ) )
| ~ ( v1_relat_1 @ X0 ) ),
inference(cnf,[status(esa)],[t153_relat_1]) ).
thf(zip_derived_cl563,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( k9_relat_1 @ X2 @ ( k3_pua2mss1 @ ( k2_xboole_0 @ X1 @ X0 ) ) )
= ( k2_xboole_0 @ ( k9_relat_1 @ X2 @ ( k3_pua2mss1 @ X1 ) ) @ ( k9_relat_1 @ X2 @ ( k3_pua2mss1 @ X0 ) ) ) )
| ~ ( v1_relat_1 @ X2 ) ),
inference('sup+',[status(thm)],[zip_derived_cl70,zip_derived_cl66]) ).
thf(dt_k6_relset_2,axiom,
! [A: $i,B: $i,C: $i] :
( ( m1_subset_1 @ C @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ B @ A ) ) )
=> ( ( v1_funct_1 @ ( k6_relset_2 @ A @ B @ C ) )
& ( v1_funct_2 @ ( k6_relset_2 @ A @ B @ C ) @ ( k1_zfmisc_1 @ B ) @ ( k1_zfmisc_1 @ A ) )
& ( m2_relset_1 @ ( k6_relset_2 @ A @ B @ C ) @ ( k1_zfmisc_1 @ B ) @ ( k1_zfmisc_1 @ A ) ) ) ) ).
thf(zip_derived_cl22,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( m2_relset_1 @ ( k6_relset_2 @ X0 @ X1 @ X2 ) @ ( k1_zfmisc_1 @ X1 ) @ ( k1_zfmisc_1 @ X0 ) )
| ~ ( m1_subset_1 @ X2 @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ X1 @ X0 ) ) ) ),
inference(cnf,[status(esa)],[dt_k6_relset_2]) ).
thf(dt_m2_relset_1,axiom,
! [A: $i,B: $i,C: $i] :
( ( m2_relset_1 @ C @ A @ B )
=> ( m1_subset_1 @ C @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ A @ B ) ) ) ) ).
thf(zip_derived_cl30,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( m1_subset_1 @ X0 @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ X1 @ X2 ) ) )
| ~ ( m2_relset_1 @ X0 @ X1 @ X2 ) ),
inference(cnf,[status(esa)],[dt_m2_relset_1]) ).
thf(zip_derived_cl283,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( m1_subset_1 @ X2 @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ X1 @ X0 ) ) )
| ( m1_subset_1 @ ( k6_relset_2 @ X0 @ X1 @ X2 ) @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ ( k1_zfmisc_1 @ X1 ) @ ( k1_zfmisc_1 @ X0 ) ) ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl22,zip_derived_cl30]) ).
thf(redefinition_k6_relset_2,axiom,
! [A: $i,B: $i,C: $i] :
( ( m1_subset_1 @ C @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ B @ A ) ) )
=> ( ( k6_relset_2 @ A @ B @ C )
= ( k5_relset_2 @ B @ C ) ) ) ).
thf(zip_derived_cl61,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( k6_relset_2 @ X2 @ X0 @ X1 )
= ( k5_relset_2 @ X0 @ X1 ) )
| ~ ( m1_subset_1 @ X1 @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ X0 @ X2 ) ) ) ),
inference(cnf,[status(esa)],[redefinition_k6_relset_2]) ).
thf(zip_derived_cl61_001,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( k6_relset_2 @ X2 @ X0 @ X1 )
= ( k5_relset_2 @ X0 @ X1 ) )
| ~ ( m1_subset_1 @ X1 @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ X0 @ X2 ) ) ) ),
inference(cnf,[status(esa)],[redefinition_k6_relset_2]) ).
thf(redefinition_k4_relset_2,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ( m1_subset_1 @ C @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ A @ ( k1_zfmisc_1 @ B ) ) ) )
=> ( ( k4_relset_2 @ A @ B @ C @ D )
= ( k9_relat_1 @ C @ D ) ) ) ).
thf(zip_derived_cl59,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( m1_subset_1 @ X0 @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ X1 @ ( k1_zfmisc_1 @ X2 ) ) ) )
| ( ( k4_relset_2 @ X1 @ X2 @ X0 @ X3 )
= ( k9_relat_1 @ X0 @ X3 ) ) ),
inference(cnf,[status(esa)],[redefinition_k4_relset_2]) ).
thf(zip_derived_cl59_002,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( m1_subset_1 @ X0 @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ X1 @ ( k1_zfmisc_1 @ X2 ) ) ) )
| ( ( k4_relset_2 @ X1 @ X2 @ X0 @ X3 )
= ( k9_relat_1 @ X0 @ X3 ) ) ),
inference(cnf,[status(esa)],[redefinition_k4_relset_2]) ).
thf(redefinition_k8_relset_2,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ( ( m1_subset_1 @ C @ ( k1_zfmisc_1 @ A ) )
& ( m1_subset_1 @ D @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ A @ B ) ) ) )
=> ( ( k8_relset_2 @ A @ B @ C @ D )
= ( k7_relset_2 @ A @ B @ C @ D ) ) ) ).
thf(zip_derived_cl62,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( m1_subset_1 @ X0 @ ( k1_zfmisc_1 @ X1 ) )
| ~ ( m1_subset_1 @ X2 @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ X1 @ X3 ) ) )
| ( ( k8_relset_2 @ X1 @ X3 @ X0 @ X2 )
= ( k7_relset_2 @ X1 @ X3 @ X0 @ X2 ) ) ),
inference(cnf,[status(esa)],[redefinition_k8_relset_2]) ).
thf(d4_relset_2,axiom,
! [A: $i,B: $i,C: $i] :
( ( m1_subset_1 @ C @ ( k1_zfmisc_1 @ A ) )
=> ! [D: $i] :
( ( m1_subset_1 @ D @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ A @ B ) ) )
=> ( ( k7_relset_2 @ A @ B @ C @ D )
= ( k8_setfam_1 @ B @ ( k4_relset_2 @ ( k1_zfmisc_1 @ A ) @ B @ ( k6_relset_2 @ B @ A @ D ) @ ( k3_pua2mss1 @ C ) ) ) ) ) ) ).
thf(zip_derived_cl10,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( m1_subset_1 @ X0 @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ X1 @ X2 ) ) )
| ( ( k7_relset_2 @ X1 @ X2 @ X3 @ X0 )
= ( k8_setfam_1 @ X2 @ ( k4_relset_2 @ ( k1_zfmisc_1 @ X1 ) @ X2 @ ( k6_relset_2 @ X2 @ X1 @ X0 ) @ ( k3_pua2mss1 @ X3 ) ) ) )
| ~ ( m1_subset_1 @ X3 @ ( k1_zfmisc_1 @ X1 ) ) ),
inference(cnf,[status(esa)],[d4_relset_2]) ).
thf(zip_derived_cl556,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ( k8_relset_2 @ X3 @ X2 @ X1 @ X0 )
= ( k8_setfam_1 @ X2 @ ( k4_relset_2 @ ( k1_zfmisc_1 @ X3 ) @ X2 @ ( k6_relset_2 @ X2 @ X3 @ X0 ) @ ( k3_pua2mss1 @ X1 ) ) ) )
| ~ ( m1_subset_1 @ X0 @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ X3 @ X2 ) ) )
| ~ ( m1_subset_1 @ X1 @ ( k1_zfmisc_1 @ X3 ) )
| ~ ( m1_subset_1 @ X1 @ ( k1_zfmisc_1 @ X3 ) )
| ~ ( m1_subset_1 @ X0 @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ X3 @ X2 ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl62,zip_derived_cl10]) ).
thf(zip_derived_cl557,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( m1_subset_1 @ X1 @ ( k1_zfmisc_1 @ X3 ) )
| ~ ( m1_subset_1 @ X0 @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ X3 @ X2 ) ) )
| ( ( k8_relset_2 @ X3 @ X2 @ X1 @ X0 )
= ( k8_setfam_1 @ X2 @ ( k4_relset_2 @ ( k1_zfmisc_1 @ X3 ) @ X2 @ ( k6_relset_2 @ X2 @ X3 @ X0 ) @ ( k3_pua2mss1 @ X1 ) ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl556]) ).
thf(zip_derived_cl557_003,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( m1_subset_1 @ X1 @ ( k1_zfmisc_1 @ X3 ) )
| ~ ( m1_subset_1 @ X0 @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ X3 @ X2 ) ) )
| ( ( k8_relset_2 @ X3 @ X2 @ X1 @ X0 )
= ( k8_setfam_1 @ X2 @ ( k4_relset_2 @ ( k1_zfmisc_1 @ X3 ) @ X2 @ ( k6_relset_2 @ X2 @ X3 @ X0 ) @ ( k3_pua2mss1 @ X1 ) ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl556]) ).
thf(zip_derived_cl60_004,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( m1_subset_1 @ X0 @ ( k1_zfmisc_1 @ X1 ) )
| ~ ( m1_subset_1 @ X2 @ ( k1_zfmisc_1 @ X1 ) )
| ( ( k4_subset_1 @ X1 @ X0 @ X2 )
= ( k2_xboole_0 @ X0 @ X2 ) ) ),
inference(cnf,[status(esa)],[redefinition_k4_subset_1]) ).
thf(t26_relset_2,conjecture,
! [A: $i,B: $i,C: $i] :
( ( m1_subset_1 @ C @ ( k1_zfmisc_1 @ A ) )
=> ! [D: $i] :
( ( m1_subset_1 @ D @ ( k1_zfmisc_1 @ A ) )
=> ! [E: $i] :
( ( m1_subset_1 @ E @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ A @ B ) ) )
=> ( ( ( k4_relset_2 @ ( k1_zfmisc_1 @ A ) @ B @ ( k6_relset_2 @ B @ A @ E ) @ ( k3_pua2mss1 @ C ) )
= k1_xboole_0 )
=> ( ( k8_relset_2 @ A @ B @ ( k4_subset_1 @ A @ C @ D ) @ E )
= ( k8_relset_2 @ A @ B @ D @ E ) ) ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [A: $i,B: $i,C: $i] :
( ( m1_subset_1 @ C @ ( k1_zfmisc_1 @ A ) )
=> ! [D: $i] :
( ( m1_subset_1 @ D @ ( k1_zfmisc_1 @ A ) )
=> ! [E: $i] :
( ( m1_subset_1 @ E @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ A @ B ) ) )
=> ( ( ( k4_relset_2 @ ( k1_zfmisc_1 @ A ) @ B @ ( k6_relset_2 @ B @ A @ E ) @ ( k3_pua2mss1 @ C ) )
= k1_xboole_0 )
=> ( ( k8_relset_2 @ A @ B @ ( k4_subset_1 @ A @ C @ D ) @ E )
= ( k8_relset_2 @ A @ B @ D @ E ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[t26_relset_2]) ).
thf(zip_derived_cl2,plain,
( ( k8_relset_2 @ sk_ @ sk__1 @ ( k4_subset_1 @ sk_ @ sk__2 @ sk__3 ) @ sk__4 )
!= ( k8_relset_2 @ sk_ @ sk__1 @ sk__3 @ sk__4 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl533,plain,
( ( ( k8_relset_2 @ sk_ @ sk__1 @ ( k2_xboole_0 @ sk__2 @ sk__3 ) @ sk__4 )
!= ( k8_relset_2 @ sk_ @ sk__1 @ sk__3 @ sk__4 ) )
| ~ ( m1_subset_1 @ sk__3 @ ( k1_zfmisc_1 @ sk_ ) )
| ~ ( m1_subset_1 @ sk__2 @ ( k1_zfmisc_1 @ sk_ ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl60,zip_derived_cl2]) ).
thf(zip_derived_cl4,plain,
m1_subset_1 @ sk__3 @ ( k1_zfmisc_1 @ sk_ ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl0,plain,
m1_subset_1 @ sk__2 @ ( k1_zfmisc_1 @ sk_ ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl539,plain,
( ( k8_relset_2 @ sk_ @ sk__1 @ ( k2_xboole_0 @ sk__2 @ sk__3 ) @ sk__4 )
!= ( k8_relset_2 @ sk_ @ sk__1 @ sk__3 @ sk__4 ) ),
inference(demod,[status(thm)],[zip_derived_cl533,zip_derived_cl4,zip_derived_cl0]) ).
thf(zip_derived_cl2120,plain,
( ( ( k8_setfam_1 @ sk__1 @ ( k4_relset_2 @ ( k1_zfmisc_1 @ sk_ ) @ sk__1 @ ( k6_relset_2 @ sk__1 @ sk_ @ sk__4 ) @ ( k3_pua2mss1 @ ( k2_xboole_0 @ sk__2 @ sk__3 ) ) ) )
!= ( k8_relset_2 @ sk_ @ sk__1 @ sk__3 @ sk__4 ) )
| ~ ( m1_subset_1 @ sk__4 @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ sk_ @ sk__1 ) ) )
| ~ ( m1_subset_1 @ ( k2_xboole_0 @ sk__2 @ sk__3 ) @ ( k1_zfmisc_1 @ sk_ ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl557,zip_derived_cl539]) ).
thf(zip_derived_cl1,plain,
m1_subset_1 @ sk__4 @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ sk_ @ sk__1 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2126,plain,
( ( ( k8_setfam_1 @ sk__1 @ ( k4_relset_2 @ ( k1_zfmisc_1 @ sk_ ) @ sk__1 @ ( k6_relset_2 @ sk__1 @ sk_ @ sk__4 ) @ ( k3_pua2mss1 @ ( k2_xboole_0 @ sk__2 @ sk__3 ) ) ) )
!= ( k8_relset_2 @ sk_ @ sk__1 @ sk__3 @ sk__4 ) )
| ~ ( m1_subset_1 @ ( k2_xboole_0 @ sk__2 @ sk__3 ) @ ( k1_zfmisc_1 @ sk_ ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2120,zip_derived_cl1]) ).
thf(zip_derived_cl2130,plain,
( ( ( k8_setfam_1 @ sk__1 @ ( k4_relset_2 @ ( k1_zfmisc_1 @ sk_ ) @ sk__1 @ ( k6_relset_2 @ sk__1 @ sk_ @ sk__4 ) @ ( k3_pua2mss1 @ ( k2_xboole_0 @ sk__2 @ sk__3 ) ) ) )
!= ( k8_setfam_1 @ sk__1 @ ( k4_relset_2 @ ( k1_zfmisc_1 @ sk_ ) @ sk__1 @ ( k6_relset_2 @ sk__1 @ sk_ @ sk__4 ) @ ( k3_pua2mss1 @ sk__3 ) ) ) )
| ~ ( m1_subset_1 @ sk__4 @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ sk_ @ sk__1 ) ) )
| ~ ( m1_subset_1 @ sk__3 @ ( k1_zfmisc_1 @ sk_ ) )
| ~ ( m1_subset_1 @ ( k2_xboole_0 @ sk__2 @ sk__3 ) @ ( k1_zfmisc_1 @ sk_ ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl557,zip_derived_cl2126]) ).
thf(zip_derived_cl1_005,plain,
m1_subset_1 @ sk__4 @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ sk_ @ sk__1 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl4_006,plain,
m1_subset_1 @ sk__3 @ ( k1_zfmisc_1 @ sk_ ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2131,plain,
( ( ( k8_setfam_1 @ sk__1 @ ( k4_relset_2 @ ( k1_zfmisc_1 @ sk_ ) @ sk__1 @ ( k6_relset_2 @ sk__1 @ sk_ @ sk__4 ) @ ( k3_pua2mss1 @ ( k2_xboole_0 @ sk__2 @ sk__3 ) ) ) )
!= ( k8_setfam_1 @ sk__1 @ ( k4_relset_2 @ ( k1_zfmisc_1 @ sk_ ) @ sk__1 @ ( k6_relset_2 @ sk__1 @ sk_ @ sk__4 ) @ ( k3_pua2mss1 @ sk__3 ) ) ) )
| ~ ( m1_subset_1 @ ( k2_xboole_0 @ sk__2 @ sk__3 ) @ ( k1_zfmisc_1 @ sk_ ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2130,zip_derived_cl1,zip_derived_cl4]) ).
thf(zip_derived_cl2168,plain,
( ( ( k8_setfam_1 @ sk__1 @ ( k9_relat_1 @ ( k6_relset_2 @ sk__1 @ sk_ @ sk__4 ) @ ( k3_pua2mss1 @ ( k2_xboole_0 @ sk__2 @ sk__3 ) ) ) )
!= ( k8_setfam_1 @ sk__1 @ ( k4_relset_2 @ ( k1_zfmisc_1 @ sk_ ) @ sk__1 @ ( k6_relset_2 @ sk__1 @ sk_ @ sk__4 ) @ ( k3_pua2mss1 @ sk__3 ) ) ) )
| ~ ( m1_subset_1 @ ( k6_relset_2 @ sk__1 @ sk_ @ sk__4 ) @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ ( k1_zfmisc_1 @ sk_ ) @ ( k1_zfmisc_1 @ sk__1 ) ) ) )
| ~ ( m1_subset_1 @ ( k2_xboole_0 @ sk__2 @ sk__3 ) @ ( k1_zfmisc_1 @ sk_ ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl59,zip_derived_cl2131]) ).
thf(zip_derived_cl2447,plain,
( ( ( k8_setfam_1 @ sk__1 @ ( k9_relat_1 @ ( k6_relset_2 @ sk__1 @ sk_ @ sk__4 ) @ ( k3_pua2mss1 @ ( k2_xboole_0 @ sk__2 @ sk__3 ) ) ) )
!= ( k8_setfam_1 @ sk__1 @ ( k9_relat_1 @ ( k6_relset_2 @ sk__1 @ sk_ @ sk__4 ) @ ( k3_pua2mss1 @ sk__3 ) ) ) )
| ~ ( m1_subset_1 @ ( k6_relset_2 @ sk__1 @ sk_ @ sk__4 ) @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ ( k1_zfmisc_1 @ sk_ ) @ ( k1_zfmisc_1 @ sk__1 ) ) ) )
| ~ ( m1_subset_1 @ ( k2_xboole_0 @ sk__2 @ sk__3 ) @ ( k1_zfmisc_1 @ sk_ ) )
| ~ ( m1_subset_1 @ ( k6_relset_2 @ sk__1 @ sk_ @ sk__4 ) @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ ( k1_zfmisc_1 @ sk_ ) @ ( k1_zfmisc_1 @ sk__1 ) ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl59,zip_derived_cl2168]) ).
thf(zip_derived_cl2449,plain,
( ~ ( m1_subset_1 @ ( k2_xboole_0 @ sk__2 @ sk__3 ) @ ( k1_zfmisc_1 @ sk_ ) )
| ~ ( m1_subset_1 @ ( k6_relset_2 @ sk__1 @ sk_ @ sk__4 ) @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ ( k1_zfmisc_1 @ sk_ ) @ ( k1_zfmisc_1 @ sk__1 ) ) ) )
| ( ( k8_setfam_1 @ sk__1 @ ( k9_relat_1 @ ( k6_relset_2 @ sk__1 @ sk_ @ sk__4 ) @ ( k3_pua2mss1 @ ( k2_xboole_0 @ sk__2 @ sk__3 ) ) ) )
!= ( k8_setfam_1 @ sk__1 @ ( k9_relat_1 @ ( k6_relset_2 @ sk__1 @ sk_ @ sk__4 ) @ ( k3_pua2mss1 @ sk__3 ) ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl2447]) ).
thf(zip_derived_cl2498,plain,
( ( ( k8_setfam_1 @ sk__1 @ ( k9_relat_1 @ ( k5_relset_2 @ sk_ @ sk__4 ) @ ( k3_pua2mss1 @ ( k2_xboole_0 @ sk__2 @ sk__3 ) ) ) )
!= ( k8_setfam_1 @ sk__1 @ ( k9_relat_1 @ ( k6_relset_2 @ sk__1 @ sk_ @ sk__4 ) @ ( k3_pua2mss1 @ sk__3 ) ) ) )
| ~ ( m1_subset_1 @ sk__4 @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ sk_ @ sk__1 ) ) )
| ~ ( m1_subset_1 @ ( k6_relset_2 @ sk__1 @ sk_ @ sk__4 ) @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ ( k1_zfmisc_1 @ sk_ ) @ ( k1_zfmisc_1 @ sk__1 ) ) ) )
| ~ ( m1_subset_1 @ ( k2_xboole_0 @ sk__2 @ sk__3 ) @ ( k1_zfmisc_1 @ sk_ ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl61,zip_derived_cl2449]) ).
thf(zip_derived_cl1_007,plain,
m1_subset_1 @ sk__4 @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ sk_ @ sk__1 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2500,plain,
( ( ( k8_setfam_1 @ sk__1 @ ( k9_relat_1 @ ( k5_relset_2 @ sk_ @ sk__4 ) @ ( k3_pua2mss1 @ ( k2_xboole_0 @ sk__2 @ sk__3 ) ) ) )
!= ( k8_setfam_1 @ sk__1 @ ( k9_relat_1 @ ( k6_relset_2 @ sk__1 @ sk_ @ sk__4 ) @ ( k3_pua2mss1 @ sk__3 ) ) ) )
| ~ ( m1_subset_1 @ ( k6_relset_2 @ sk__1 @ sk_ @ sk__4 ) @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ ( k1_zfmisc_1 @ sk_ ) @ ( k1_zfmisc_1 @ sk__1 ) ) ) )
| ~ ( m1_subset_1 @ ( k2_xboole_0 @ sk__2 @ sk__3 ) @ ( k1_zfmisc_1 @ sk_ ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2498,zip_derived_cl1]) ).
thf(zip_derived_cl2501,plain,
( ( ( k8_setfam_1 @ sk__1 @ ( k9_relat_1 @ ( k5_relset_2 @ sk_ @ sk__4 ) @ ( k3_pua2mss1 @ ( k2_xboole_0 @ sk__2 @ sk__3 ) ) ) )
!= ( k8_setfam_1 @ sk__1 @ ( k9_relat_1 @ ( k5_relset_2 @ sk_ @ sk__4 ) @ ( k3_pua2mss1 @ sk__3 ) ) ) )
| ~ ( m1_subset_1 @ sk__4 @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ sk_ @ sk__1 ) ) )
| ~ ( m1_subset_1 @ ( k2_xboole_0 @ sk__2 @ sk__3 ) @ ( k1_zfmisc_1 @ sk_ ) )
| ~ ( m1_subset_1 @ ( k6_relset_2 @ sk__1 @ sk_ @ sk__4 ) @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ ( k1_zfmisc_1 @ sk_ ) @ ( k1_zfmisc_1 @ sk__1 ) ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl61,zip_derived_cl2500]) ).
thf(zip_derived_cl1_008,plain,
m1_subset_1 @ sk__4 @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ sk_ @ sk__1 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2502,plain,
( ( ( k8_setfam_1 @ sk__1 @ ( k9_relat_1 @ ( k5_relset_2 @ sk_ @ sk__4 ) @ ( k3_pua2mss1 @ ( k2_xboole_0 @ sk__2 @ sk__3 ) ) ) )
!= ( k8_setfam_1 @ sk__1 @ ( k9_relat_1 @ ( k5_relset_2 @ sk_ @ sk__4 ) @ ( k3_pua2mss1 @ sk__3 ) ) ) )
| ~ ( m1_subset_1 @ ( k2_xboole_0 @ sk__2 @ sk__3 ) @ ( k1_zfmisc_1 @ sk_ ) )
| ~ ( m1_subset_1 @ ( k6_relset_2 @ sk__1 @ sk_ @ sk__4 ) @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ ( k1_zfmisc_1 @ sk_ ) @ ( k1_zfmisc_1 @ sk__1 ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2501,zip_derived_cl1]) ).
thf(zip_derived_cl2504,plain,
( ~ ( m1_subset_1 @ sk__4 @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ sk_ @ sk__1 ) ) )
| ~ ( m1_subset_1 @ ( k2_xboole_0 @ sk__2 @ sk__3 ) @ ( k1_zfmisc_1 @ sk_ ) )
| ( ( k8_setfam_1 @ sk__1 @ ( k9_relat_1 @ ( k5_relset_2 @ sk_ @ sk__4 ) @ ( k3_pua2mss1 @ ( k2_xboole_0 @ sk__2 @ sk__3 ) ) ) )
!= ( k8_setfam_1 @ sk__1 @ ( k9_relat_1 @ ( k5_relset_2 @ sk_ @ sk__4 ) @ ( k3_pua2mss1 @ sk__3 ) ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl283,zip_derived_cl2502]) ).
thf(zip_derived_cl1_009,plain,
m1_subset_1 @ sk__4 @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ sk_ @ sk__1 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2506,plain,
( ~ ( m1_subset_1 @ ( k2_xboole_0 @ sk__2 @ sk__3 ) @ ( k1_zfmisc_1 @ sk_ ) )
| ( ( k8_setfam_1 @ sk__1 @ ( k9_relat_1 @ ( k5_relset_2 @ sk_ @ sk__4 ) @ ( k3_pua2mss1 @ ( k2_xboole_0 @ sk__2 @ sk__3 ) ) ) )
!= ( k8_setfam_1 @ sk__1 @ ( k9_relat_1 @ ( k5_relset_2 @ sk_ @ sk__4 ) @ ( k3_pua2mss1 @ sk__3 ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2504,zip_derived_cl1]) ).
thf(zip_derived_cl2509,plain,
( ( ( k8_setfam_1 @ sk__1 @ ( k2_xboole_0 @ ( k9_relat_1 @ ( k5_relset_2 @ sk_ @ sk__4 ) @ ( k3_pua2mss1 @ sk__2 ) ) @ ( k9_relat_1 @ ( k5_relset_2 @ sk_ @ sk__4 ) @ ( k3_pua2mss1 @ sk__3 ) ) ) )
!= ( k8_setfam_1 @ sk__1 @ ( k9_relat_1 @ ( k5_relset_2 @ sk_ @ sk__4 ) @ ( k3_pua2mss1 @ sk__3 ) ) ) )
| ~ ( v1_relat_1 @ ( k5_relset_2 @ sk_ @ sk__4 ) )
| ~ ( m1_subset_1 @ ( k2_xboole_0 @ sk__2 @ sk__3 ) @ ( k1_zfmisc_1 @ sk_ ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl563,zip_derived_cl2506]) ).
thf(zip_derived_cl283_010,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( m1_subset_1 @ X2 @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ X1 @ X0 ) ) )
| ( m1_subset_1 @ ( k6_relset_2 @ X0 @ X1 @ X2 ) @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ ( k1_zfmisc_1 @ X1 ) @ ( k1_zfmisc_1 @ X0 ) ) ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl22,zip_derived_cl30]) ).
thf(zip_derived_cl61_011,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( k6_relset_2 @ X2 @ X0 @ X1 )
= ( k5_relset_2 @ X0 @ X1 ) )
| ~ ( m1_subset_1 @ X1 @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ X0 @ X2 ) ) ) ),
inference(cnf,[status(esa)],[redefinition_k6_relset_2]) ).
thf(zip_derived_cl59_012,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( m1_subset_1 @ X0 @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ X1 @ ( k1_zfmisc_1 @ X2 ) ) ) )
| ( ( k4_relset_2 @ X1 @ X2 @ X0 @ X3 )
= ( k9_relat_1 @ X0 @ X3 ) ) ),
inference(cnf,[status(esa)],[redefinition_k4_relset_2]) ).
thf(zip_derived_cl3,plain,
( ( k4_relset_2 @ ( k1_zfmisc_1 @ sk_ ) @ sk__1 @ ( k6_relset_2 @ sk__1 @ sk_ @ sk__4 ) @ ( k3_pua2mss1 @ sk__2 ) )
= k1_xboole_0 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl528,plain,
( ( ( k9_relat_1 @ ( k6_relset_2 @ sk__1 @ sk_ @ sk__4 ) @ ( k3_pua2mss1 @ sk__2 ) )
= k1_xboole_0 )
| ~ ( m1_subset_1 @ ( k6_relset_2 @ sk__1 @ sk_ @ sk__4 ) @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ ( k1_zfmisc_1 @ sk_ ) @ ( k1_zfmisc_1 @ sk__1 ) ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl59,zip_derived_cl3]) ).
thf(zip_derived_cl601,plain,
( ( ( k9_relat_1 @ ( k5_relset_2 @ sk_ @ sk__4 ) @ ( k3_pua2mss1 @ sk__2 ) )
= k1_xboole_0 )
| ~ ( m1_subset_1 @ sk__4 @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ sk_ @ sk__1 ) ) )
| ~ ( m1_subset_1 @ ( k6_relset_2 @ sk__1 @ sk_ @ sk__4 ) @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ ( k1_zfmisc_1 @ sk_ ) @ ( k1_zfmisc_1 @ sk__1 ) ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl61,zip_derived_cl528]) ).
thf(zip_derived_cl1_013,plain,
m1_subset_1 @ sk__4 @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ sk_ @ sk__1 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl602,plain,
( ( ( k9_relat_1 @ ( k5_relset_2 @ sk_ @ sk__4 ) @ ( k3_pua2mss1 @ sk__2 ) )
= k1_xboole_0 )
| ~ ( m1_subset_1 @ ( k6_relset_2 @ sk__1 @ sk_ @ sk__4 ) @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ ( k1_zfmisc_1 @ sk_ ) @ ( k1_zfmisc_1 @ sk__1 ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl601,zip_derived_cl1]) ).
thf(zip_derived_cl604,plain,
( ~ ( m1_subset_1 @ sk__4 @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ sk_ @ sk__1 ) ) )
| ( ( k9_relat_1 @ ( k5_relset_2 @ sk_ @ sk__4 ) @ ( k3_pua2mss1 @ sk__2 ) )
= k1_xboole_0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl283,zip_derived_cl602]) ).
thf(zip_derived_cl1_014,plain,
m1_subset_1 @ sk__4 @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ sk_ @ sk__1 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl606,plain,
( ( k9_relat_1 @ ( k5_relset_2 @ sk_ @ sk__4 ) @ ( k3_pua2mss1 @ sk__2 ) )
= k1_xboole_0 ),
inference(demod,[status(thm)],[zip_derived_cl604,zip_derived_cl1]) ).
thf(t1_boole,axiom,
! [A: $i] :
( ( k2_xboole_0 @ A @ k1_xboole_0 )
= A ) ).
thf(zip_derived_cl67,plain,
! [X0: $i] :
( ( k2_xboole_0 @ X0 @ k1_xboole_0 )
= X0 ),
inference(cnf,[status(esa)],[t1_boole]) ).
thf(commutativity_k2_xboole_0,axiom,
! [A: $i,B: $i] :
( ( k2_xboole_0 @ A @ B )
= ( k2_xboole_0 @ B @ A ) ) ).
thf(zip_derived_cl8,plain,
! [X0: $i,X1: $i] :
( ( k2_xboole_0 @ X1 @ X0 )
= ( k2_xboole_0 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[commutativity_k2_xboole_0]) ).
thf(zip_derived_cl305,plain,
! [X0: $i] :
( X0
= ( k2_xboole_0 @ k1_xboole_0 @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl67,zip_derived_cl8]) ).
thf(zip_derived_cl1_015,plain,
m1_subset_1 @ sk__4 @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ sk_ @ sk__1 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl61_016,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( k6_relset_2 @ X2 @ X0 @ X1 )
= ( k5_relset_2 @ X0 @ X1 ) )
| ~ ( m1_subset_1 @ X1 @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ X0 @ X2 ) ) ) ),
inference(cnf,[status(esa)],[redefinition_k6_relset_2]) ).
thf(zip_derived_cl283_017,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( m1_subset_1 @ X2 @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ X1 @ X0 ) ) )
| ( m1_subset_1 @ ( k6_relset_2 @ X0 @ X1 @ X2 ) @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ ( k1_zfmisc_1 @ X1 ) @ ( k1_zfmisc_1 @ X0 ) ) ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl22,zip_derived_cl30]) ).
thf(cc1_relset_1,axiom,
! [A: $i,B: $i,C: $i] :
( ( m1_subset_1 @ C @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ A @ B ) ) )
=> ( v1_relat_1 @ C ) ) ).
thf(zip_derived_cl7,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( v1_relat_1 @ X0 )
| ~ ( m1_subset_1 @ X0 @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ X1 @ X2 ) ) ) ),
inference(cnf,[status(esa)],[cc1_relset_1]) ).
thf(zip_derived_cl574,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( m1_subset_1 @ X2 @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ X1 @ X0 ) ) )
| ( v1_relat_1 @ ( k6_relset_2 @ X0 @ X1 @ X2 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl283,zip_derived_cl7]) ).
thf(zip_derived_cl2057,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( v1_relat_1 @ ( k5_relset_2 @ X1 @ X0 ) )
| ~ ( m1_subset_1 @ X0 @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ X1 @ X2 ) ) )
| ~ ( m1_subset_1 @ X0 @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ X1 @ X2 ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl61,zip_derived_cl574]) ).
thf(zip_derived_cl2058,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( m1_subset_1 @ X0 @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ X1 @ X2 ) ) )
| ( v1_relat_1 @ ( k5_relset_2 @ X1 @ X0 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl2057]) ).
thf(zip_derived_cl2067,plain,
v1_relat_1 @ ( k5_relset_2 @ sk_ @ sk__4 ),
inference('sup-',[status(thm)],[zip_derived_cl1,zip_derived_cl2058]) ).
thf(zip_derived_cl2511,plain,
( ( ( k8_setfam_1 @ sk__1 @ ( k9_relat_1 @ ( k5_relset_2 @ sk_ @ sk__4 ) @ ( k3_pua2mss1 @ sk__3 ) ) )
!= ( k8_setfam_1 @ sk__1 @ ( k9_relat_1 @ ( k5_relset_2 @ sk_ @ sk__4 ) @ ( k3_pua2mss1 @ sk__3 ) ) ) )
| ~ ( m1_subset_1 @ ( k2_xboole_0 @ sk__2 @ sk__3 ) @ ( k1_zfmisc_1 @ sk_ ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2509,zip_derived_cl606,zip_derived_cl305,zip_derived_cl2067]) ).
thf(zip_derived_cl2512,plain,
~ ( m1_subset_1 @ ( k2_xboole_0 @ sk__2 @ sk__3 ) @ ( k1_zfmisc_1 @ sk_ ) ),
inference(simplify,[status(thm)],[zip_derived_cl2511]) ).
thf(zip_derived_cl2516,plain,
( ~ ( m1_subset_1 @ sk__3 @ ( k1_zfmisc_1 @ sk_ ) )
| ~ ( m1_subset_1 @ sk__2 @ ( k1_zfmisc_1 @ sk_ ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl538,zip_derived_cl2512]) ).
thf(zip_derived_cl4_018,plain,
m1_subset_1 @ sk__3 @ ( k1_zfmisc_1 @ sk_ ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl0_019,plain,
m1_subset_1 @ sk__2 @ ( k1_zfmisc_1 @ sk_ ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2517,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl2516,zip_derived_cl4,zip_derived_cl0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.18 % Problem : SEU427+1 : TPTP v9.2.0. Released v3.4.0.
% 0.11/0.19 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.KplCGBBqE5 true
% 0.12/0.38 % Computer : n028.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8042.1875MB
% 0.12/0.38 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.39 % DateTime : Wed Oct 1 16:11:38 EDT 2025
% 0.12/0.39 % CPUTime :
% 0.12/0.39 % Running portfolio for 300 s
% 0.12/0.39 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.39 % Number of cores: 8
% 0.12/0.39 % Python version: Python 3.6.8
% 0.12/0.40 % Running in FO mode
% 0.32/0.73 % Total configuration time : 435
% 0.32/0.73 % Estimated wc time : 1092
% 0.32/0.73 % Estimated cpu time (7 cpus) : 156.0
% 0.32/0.89 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.32/0.90 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.32/0.92 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.32/0.94 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.32/0.94 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.32/0.96 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.32/0.98 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 6.65/1.98 % Solved by fo/fo3_bce.sh.
% 6.65/1.98 % BCE start: 78
% 6.65/1.98 % BCE eliminated: 6
% 6.65/1.98 % PE start: 72
% 6.65/1.98 logic: eq
% 6.65/1.98 % PE eliminated: 6
% 6.65/1.98 % done 628 iterations in 1.044s
% 6.65/1.98 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 6.65/1.98 % SZS output start Refutation
% See solution above
% 6.65/1.98
% 6.65/1.98
% 6.65/1.98 % Terminating...
% 7.11/2.15 % Runner terminated.
% 7.15/2.18 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------