TSTP Solution File: SEU448+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU448+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.iVK75eobzA true
% Computer : n015.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 Aug 31 19:13:07 EDT 2023
% Result : Theorem 82.60s 12.51s
% Output : Refutation 82.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 33
% Syntax : Number of formulae : 160 ( 69 unt; 18 typ; 0 def)
% Number of atoms : 256 ( 37 equ; 0 cnn)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 1325 ( 83 ~; 87 |; 0 &;1128 @)
% ( 5 <=>; 22 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 28 ( 28 >; 0 *; 0 +; 0 <<)
% Number of symbols : 20 ( 18 usr; 6 con; 0-4 aty)
% Number of variables : 168 ( 0 ^; 168 !; 0 ?; 168 :)
% Comments :
%------------------------------------------------------------------------------
thf(sk__3_type,type,
sk__3: $i ).
thf(k4_relat_1_type,type,
k4_relat_1: $i > $i ).
thf(sk__2_type,type,
sk__2: $i ).
thf(sk__1_type,type,
sk__1: $i ).
thf(m1_relset_1_type,type,
m1_relset_1: $i > $i > $i > $o ).
thf(v1_relat_1_type,type,
v1_relat_1: $i > $o ).
thf(r1_xboole_0_type,type,
r1_xboole_0: $i > $i > $o ).
thf(m1_subset_1_type,type,
m1_subset_1: $i > $i > $o ).
thf(m2_relset_1_type,type,
m2_relset_1: $i > $i > $i > $o ).
thf(k2_zfmisc_1_type,type,
k2_zfmisc_1: $i > $i > $i ).
thf(k6_relset_1_type,type,
k6_relset_1: $i > $i > $i > $i ).
thf(sk__type,type,
sk_: $i ).
thf(k9_relat_1_type,type,
k9_relat_1: $i > $i > $i ).
thf(sk__4_type,type,
sk__4: $i ).
thf(r1_tarski_type,type,
r1_tarski: $i > $i > $o ).
thf(k1_zfmisc_1_type,type,
k1_zfmisc_1: $i > $i ).
thf(k3_subset_1_type,type,
k3_subset_1: $i > $i > $i ).
thf(k10_relset_1_type,type,
k10_relset_1: $i > $i > $i > $i > $i ).
thf(t62_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 @ B ) )
=> ! [E: $i] :
( ( m2_relset_1 @ E @ A @ B )
=> ( ( r1_tarski @ ( k10_relset_1 @ A @ B @ E @ ( k3_subset_1 @ A @ C ) ) @ ( k3_subset_1 @ B @ D ) )
<=> ( r1_tarski @ ( k10_relset_1 @ B @ A @ ( k6_relset_1 @ A @ B @ E ) @ D ) @ C ) ) ) ) ) ).
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 @ B ) )
=> ! [E: $i] :
( ( m2_relset_1 @ E @ A @ B )
=> ( ( r1_tarski @ ( k10_relset_1 @ A @ B @ E @ ( k3_subset_1 @ A @ C ) ) @ ( k3_subset_1 @ B @ D ) )
<=> ( r1_tarski @ ( k10_relset_1 @ B @ A @ ( k6_relset_1 @ A @ B @ E ) @ D ) @ C ) ) ) ) ),
inference('cnf.neg',[status(esa)],[t62_relset_2]) ).
thf(zip_derived_cl2,plain,
( ~ ( r1_tarski @ ( k10_relset_1 @ sk__1 @ sk_ @ ( k6_relset_1 @ sk_ @ sk__1 @ sk__4 ) @ sk__3 ) @ sk__2 )
| ~ ( r1_tarski @ ( k10_relset_1 @ sk_ @ sk__1 @ sk__4 @ ( k3_subset_1 @ sk_ @ sk__2 ) ) @ ( k3_subset_1 @ sk__1 @ sk__3 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1,plain,
m2_relset_1 @ sk__4 @ sk_ @ sk__1,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(redefinition_m2_relset_1,axiom,
! [A: $i,B: $i,C: $i] :
( ( m2_relset_1 @ C @ A @ B )
<=> ( m1_relset_1 @ C @ A @ B ) ) ).
thf(zip_derived_cl47,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( m1_relset_1 @ X0 @ X1 @ X2 )
| ~ ( m2_relset_1 @ X0 @ X1 @ X2 ) ),
inference(cnf,[status(esa)],[redefinition_m2_relset_1]) ).
thf(zip_derived_cl651,plain,
m1_relset_1 @ sk__4 @ sk_ @ sk__1,
inference('sup-',[status(thm)],[zip_derived_cl1,zip_derived_cl47]) ).
thf(redefinition_k6_relset_1,axiom,
! [A: $i,B: $i,C: $i] :
( ( m1_relset_1 @ C @ A @ B )
=> ( ( k6_relset_1 @ A @ B @ C )
= ( k4_relat_1 @ C ) ) ) ).
thf(zip_derived_cl46,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( k6_relset_1 @ X1 @ X2 @ X0 )
= ( k4_relat_1 @ X0 ) )
| ~ ( m1_relset_1 @ X0 @ X1 @ X2 ) ),
inference(cnf,[status(esa)],[redefinition_k6_relset_1]) ).
thf(zip_derived_cl780,plain,
( ( k6_relset_1 @ sk_ @ sk__1 @ sk__4 )
= ( k4_relat_1 @ sk__4 ) ),
inference('sup-',[status(thm)],[zip_derived_cl651,zip_derived_cl46]) ).
thf(zip_derived_cl811,plain,
( ~ ( r1_tarski @ ( k10_relset_1 @ sk__1 @ sk_ @ ( k4_relat_1 @ sk__4 ) @ sk__3 ) @ sk__2 )
| ~ ( r1_tarski @ ( k10_relset_1 @ sk_ @ sk__1 @ sk__4 @ ( k3_subset_1 @ sk_ @ sk__2 ) ) @ ( k3_subset_1 @ sk__1 @ sk__3 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2,zip_derived_cl780]) ).
thf(zip_derived_cl651_001,plain,
m1_relset_1 @ sk__4 @ sk_ @ sk__1,
inference('sup-',[status(thm)],[zip_derived_cl1,zip_derived_cl47]) ).
thf(dt_k6_relset_1,axiom,
! [A: $i,B: $i,C: $i] :
( ( m1_relset_1 @ C @ A @ B )
=> ( m2_relset_1 @ ( k6_relset_1 @ A @ B @ C ) @ B @ A ) ) ).
thf(zip_derived_cl14,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( m2_relset_1 @ ( k6_relset_1 @ X0 @ X1 @ X2 ) @ X1 @ X0 )
| ~ ( m1_relset_1 @ X2 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[dt_k6_relset_1]) ).
thf(zip_derived_cl654,plain,
m2_relset_1 @ ( k6_relset_1 @ sk_ @ sk__1 @ sk__4 ) @ sk__1 @ sk_,
inference('sup-',[status(thm)],[zip_derived_cl651,zip_derived_cl14]) ).
thf(zip_derived_cl780_002,plain,
( ( k6_relset_1 @ sk_ @ sk__1 @ sk__4 )
= ( k4_relat_1 @ sk__4 ) ),
inference('sup-',[status(thm)],[zip_derived_cl651,zip_derived_cl46]) ).
thf(zip_derived_cl821,plain,
m2_relset_1 @ ( k4_relat_1 @ sk__4 ) @ sk__1 @ sk_,
inference(demod,[status(thm)],[zip_derived_cl654,zip_derived_cl780]) ).
thf(zip_derived_cl47_003,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( m1_relset_1 @ X0 @ X1 @ X2 )
| ~ ( m2_relset_1 @ X0 @ X1 @ X2 ) ),
inference(cnf,[status(esa)],[redefinition_m2_relset_1]) ).
thf(zip_derived_cl823,plain,
m1_relset_1 @ ( k4_relat_1 @ sk__4 ) @ sk__1 @ sk_,
inference('sup-',[status(thm)],[zip_derived_cl821,zip_derived_cl47]) ).
thf(redefinition_k10_relset_1,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ( m1_relset_1 @ C @ A @ B )
=> ( ( k10_relset_1 @ A @ B @ C @ D )
= ( k9_relat_1 @ C @ D ) ) ) ).
thf(zip_derived_cl45,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( m1_relset_1 @ X0 @ X1 @ X2 )
| ( ( k10_relset_1 @ X1 @ X2 @ X0 @ X3 )
= ( k9_relat_1 @ X0 @ X3 ) ) ),
inference(cnf,[status(esa)],[redefinition_k10_relset_1]) ).
thf(zip_derived_cl835,plain,
! [X0: $i] :
( ( k10_relset_1 @ sk__1 @ sk_ @ ( k4_relat_1 @ sk__4 ) @ X0 )
= ( k9_relat_1 @ ( k4_relat_1 @ sk__4 ) @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl823,zip_derived_cl45]) ).
thf(zip_derived_cl651_004,plain,
m1_relset_1 @ sk__4 @ sk_ @ sk__1,
inference('sup-',[status(thm)],[zip_derived_cl1,zip_derived_cl47]) ).
thf(zip_derived_cl45_005,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( m1_relset_1 @ X0 @ X1 @ X2 )
| ( ( k10_relset_1 @ X1 @ X2 @ X0 @ X3 )
= ( k9_relat_1 @ X0 @ X3 ) ) ),
inference(cnf,[status(esa)],[redefinition_k10_relset_1]) ).
thf(zip_derived_cl741,plain,
! [X0: $i] :
( ( k10_relset_1 @ sk_ @ sk__1 @ sk__4 @ X0 )
= ( k9_relat_1 @ sk__4 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl651,zip_derived_cl45]) ).
thf(zip_derived_cl20137,plain,
( ~ ( r1_tarski @ ( k9_relat_1 @ ( k4_relat_1 @ sk__4 ) @ sk__3 ) @ sk__2 )
| ~ ( r1_tarski @ ( k9_relat_1 @ sk__4 @ ( k3_subset_1 @ sk_ @ sk__2 ) ) @ ( k3_subset_1 @ sk__1 @ sk__3 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl811,zip_derived_cl835,zip_derived_cl741]) ).
thf(zip_derived_cl3,plain,
( ( r1_tarski @ ( k10_relset_1 @ sk__1 @ sk_ @ ( k6_relset_1 @ sk_ @ sk__1 @ sk__4 ) @ sk__3 ) @ sk__2 )
| ( r1_tarski @ ( k10_relset_1 @ sk_ @ sk__1 @ sk__4 @ ( k3_subset_1 @ sk_ @ sk__2 ) ) @ ( k3_subset_1 @ sk__1 @ sk__3 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl780_006,plain,
( ( k6_relset_1 @ sk_ @ sk__1 @ sk__4 )
= ( k4_relat_1 @ sk__4 ) ),
inference('sup-',[status(thm)],[zip_derived_cl651,zip_derived_cl46]) ).
thf(zip_derived_cl812,plain,
( ( r1_tarski @ ( k10_relset_1 @ sk__1 @ sk_ @ ( k4_relat_1 @ sk__4 ) @ sk__3 ) @ sk__2 )
| ( r1_tarski @ ( k10_relset_1 @ sk_ @ sk__1 @ sk__4 @ ( k3_subset_1 @ sk_ @ sk__2 ) ) @ ( k3_subset_1 @ sk__1 @ sk__3 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3,zip_derived_cl780]) ).
thf(zip_derived_cl835_007,plain,
! [X0: $i] :
( ( k10_relset_1 @ sk__1 @ sk_ @ ( k4_relat_1 @ sk__4 ) @ X0 )
= ( k9_relat_1 @ ( k4_relat_1 @ sk__4 ) @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl823,zip_derived_cl45]) ).
thf(zip_derived_cl741_008,plain,
! [X0: $i] :
( ( k10_relset_1 @ sk_ @ sk__1 @ sk__4 @ X0 )
= ( k9_relat_1 @ sk__4 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl651,zip_derived_cl45]) ).
thf(zip_derived_cl20501,plain,
( ( r1_tarski @ ( k9_relat_1 @ ( k4_relat_1 @ sk__4 ) @ sk__3 ) @ sk__2 )
| ( r1_tarski @ ( k9_relat_1 @ sk__4 @ ( k3_subset_1 @ sk_ @ sk__2 ) ) @ ( k3_subset_1 @ sk__1 @ sk__3 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl812,zip_derived_cl835,zip_derived_cl741]) ).
thf(zip_derived_cl4,plain,
m1_subset_1 @ sk__3 @ ( k1_zfmisc_1 @ sk__1 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(t43_subset_1,axiom,
! [A: $i,B: $i] :
( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) )
=> ! [C: $i] :
( ( m1_subset_1 @ C @ ( k1_zfmisc_1 @ A ) )
=> ( ( r1_xboole_0 @ B @ C )
<=> ( r1_tarski @ B @ ( k3_subset_1 @ A @ C ) ) ) ) ) ).
thf(zip_derived_cl56,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( m1_subset_1 @ X0 @ ( k1_zfmisc_1 @ X1 ) )
| ~ ( r1_tarski @ X2 @ ( k3_subset_1 @ X1 @ X0 ) )
| ( r1_xboole_0 @ X2 @ X0 )
| ~ ( m1_subset_1 @ X2 @ ( k1_zfmisc_1 @ X1 ) ) ),
inference(cnf,[status(esa)],[t43_subset_1]) ).
thf(zip_derived_cl955,plain,
! [X0: $i] :
( ~ ( m1_subset_1 @ X0 @ ( k1_zfmisc_1 @ sk__1 ) )
| ( r1_xboole_0 @ X0 @ sk__3 )
| ~ ( r1_tarski @ X0 @ ( k3_subset_1 @ sk__1 @ sk__3 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl56]) ).
thf(zip_derived_cl20503,plain,
( ( r1_tarski @ ( k9_relat_1 @ ( k4_relat_1 @ sk__4 ) @ sk__3 ) @ sk__2 )
| ( r1_xboole_0 @ ( k9_relat_1 @ sk__4 @ ( k3_subset_1 @ sk_ @ sk__2 ) ) @ sk__3 )
| ~ ( m1_subset_1 @ ( k9_relat_1 @ sk__4 @ ( k3_subset_1 @ sk_ @ sk__2 ) ) @ ( k1_zfmisc_1 @ sk__1 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl20501,zip_derived_cl955]) ).
thf(zip_derived_cl651_009,plain,
m1_relset_1 @ sk__4 @ sk_ @ sk__1,
inference('sup-',[status(thm)],[zip_derived_cl1,zip_derived_cl47]) ).
thf(dt_k10_relset_1,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ( m1_relset_1 @ C @ A @ B )
=> ( m1_subset_1 @ ( k10_relset_1 @ A @ B @ C @ D ) @ ( k1_zfmisc_1 @ B ) ) ) ).
thf(zip_derived_cl8,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( m1_relset_1 @ X0 @ X1 @ X2 )
| ( m1_subset_1 @ ( k10_relset_1 @ X1 @ X2 @ X0 @ X3 ) @ ( k1_zfmisc_1 @ X2 ) ) ),
inference(cnf,[status(esa)],[dt_k10_relset_1]) ).
thf(zip_derived_cl653,plain,
! [X0: $i] : ( m1_subset_1 @ ( k10_relset_1 @ sk_ @ sk__1 @ sk__4 @ X0 ) @ ( k1_zfmisc_1 @ sk__1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl651,zip_derived_cl8]) ).
thf(zip_derived_cl741_010,plain,
! [X0: $i] :
( ( k10_relset_1 @ sk_ @ sk__1 @ sk__4 @ X0 )
= ( k9_relat_1 @ sk__4 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl651,zip_derived_cl45]) ).
thf(zip_derived_cl2362,plain,
! [X0: $i] : ( m1_subset_1 @ ( k9_relat_1 @ sk__4 @ X0 ) @ ( k1_zfmisc_1 @ sk__1 ) ),
inference(demod,[status(thm)],[zip_derived_cl653,zip_derived_cl741]) ).
thf(zip_derived_cl20549,plain,
( ( r1_tarski @ ( k9_relat_1 @ ( k4_relat_1 @ sk__4 ) @ sk__3 ) @ sk__2 )
| ( r1_xboole_0 @ ( k9_relat_1 @ sk__4 @ ( k3_subset_1 @ sk_ @ sk__2 ) ) @ sk__3 ) ),
inference(demod,[status(thm)],[zip_derived_cl20503,zip_derived_cl2362]) ).
thf(symmetry_r1_xboole_0,axiom,
! [A: $i,B: $i] :
( ( r1_xboole_0 @ A @ B )
=> ( r1_xboole_0 @ B @ A ) ) ).
thf(zip_derived_cl50,plain,
! [X0: $i,X1: $i] :
( ( r1_xboole_0 @ X0 @ X1 )
| ~ ( r1_xboole_0 @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[symmetry_r1_xboole_0]) ).
thf(zip_derived_cl33667,plain,
( ( r1_tarski @ ( k9_relat_1 @ ( k4_relat_1 @ sk__4 ) @ sk__3 ) @ sk__2 )
| ( r1_xboole_0 @ sk__3 @ ( k9_relat_1 @ sk__4 @ ( k3_subset_1 @ sk_ @ sk__2 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl20549,zip_derived_cl50]) ).
thf(zip_derived_cl4_011,plain,
m1_subset_1 @ sk__3 @ ( k1_zfmisc_1 @ sk__1 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl821_012,plain,
m2_relset_1 @ ( k4_relat_1 @ sk__4 ) @ sk__1 @ sk_,
inference(demod,[status(thm)],[zip_derived_cl654,zip_derived_cl780]) ).
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_cl18,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_cl822,plain,
m1_subset_1 @ ( k4_relat_1 @ sk__4 ) @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ sk__1 @ sk_ ) ),
inference('sup-',[status(thm)],[zip_derived_cl821,zip_derived_cl18]) ).
thf(t46_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 @ B ) )
=> ! [E: $i] :
( ( m1_subset_1 @ E @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ A @ B ) ) )
=> ( ( r1_xboole_0 @ C @ ( k9_relat_1 @ ( k4_relat_1 @ E ) @ D ) )
<=> ( r1_xboole_0 @ D @ ( k9_relat_1 @ E @ C ) ) ) ) ) ) ).
thf(zip_derived_cl59,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ ( m1_subset_1 @ X0 @ ( k1_zfmisc_1 @ X1 ) )
| ~ ( r1_xboole_0 @ X2 @ ( k9_relat_1 @ ( k4_relat_1 @ X3 ) @ X0 ) )
| ( r1_xboole_0 @ X0 @ ( k9_relat_1 @ X3 @ X2 ) )
| ~ ( m1_subset_1 @ X3 @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ X4 @ X1 ) ) )
| ~ ( m1_subset_1 @ X2 @ ( k1_zfmisc_1 @ X4 ) ) ),
inference(cnf,[status(esa)],[t46_relset_2]) ).
thf(zip_derived_cl1247,plain,
! [X0: $i,X1: $i] :
( ~ ( m1_subset_1 @ X0 @ ( k1_zfmisc_1 @ sk__1 ) )
| ( r1_xboole_0 @ X1 @ ( k9_relat_1 @ ( k4_relat_1 @ sk__4 ) @ X0 ) )
| ~ ( r1_xboole_0 @ X0 @ ( k9_relat_1 @ ( k4_relat_1 @ ( k4_relat_1 @ sk__4 ) ) @ X1 ) )
| ~ ( m1_subset_1 @ X1 @ ( k1_zfmisc_1 @ sk_ ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl822,zip_derived_cl59]) ).
thf(zip_derived_cl823_013,plain,
m1_relset_1 @ ( k4_relat_1 @ sk__4 ) @ sk__1 @ sk_,
inference('sup-',[status(thm)],[zip_derived_cl821,zip_derived_cl47]) ).
thf(zip_derived_cl14_014,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( m2_relset_1 @ ( k6_relset_1 @ X0 @ X1 @ X2 ) @ X1 @ X0 )
| ~ ( m1_relset_1 @ X2 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[dt_k6_relset_1]) ).
thf(zip_derived_cl838,plain,
m2_relset_1 @ ( k6_relset_1 @ sk__1 @ sk_ @ ( k4_relat_1 @ sk__4 ) ) @ sk_ @ sk__1,
inference('sup-',[status(thm)],[zip_derived_cl823,zip_derived_cl14]) ).
thf(zip_derived_cl823_015,plain,
m1_relset_1 @ ( k4_relat_1 @ sk__4 ) @ sk__1 @ sk_,
inference('sup-',[status(thm)],[zip_derived_cl821,zip_derived_cl47]) ).
thf(zip_derived_cl46_016,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( k6_relset_1 @ X1 @ X2 @ X0 )
= ( k4_relat_1 @ X0 ) )
| ~ ( m1_relset_1 @ X0 @ X1 @ X2 ) ),
inference(cnf,[status(esa)],[redefinition_k6_relset_1]) ).
thf(zip_derived_cl836,plain,
( ( k6_relset_1 @ sk__1 @ sk_ @ ( k4_relat_1 @ sk__4 ) )
= ( k4_relat_1 @ ( k4_relat_1 @ sk__4 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl823,zip_derived_cl46]) ).
thf(zip_derived_cl4609,plain,
m2_relset_1 @ ( k4_relat_1 @ ( k4_relat_1 @ sk__4 ) ) @ sk_ @ sk__1,
inference(demod,[status(thm)],[zip_derived_cl838,zip_derived_cl836]) ).
thf(zip_derived_cl47_017,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( m1_relset_1 @ X0 @ X1 @ X2 )
| ~ ( m2_relset_1 @ X0 @ X1 @ X2 ) ),
inference(cnf,[status(esa)],[redefinition_m2_relset_1]) ).
thf(zip_derived_cl4611,plain,
m1_relset_1 @ ( k4_relat_1 @ ( k4_relat_1 @ sk__4 ) ) @ sk_ @ sk__1,
inference('sup-',[status(thm)],[zip_derived_cl4609,zip_derived_cl47]) ).
thf(involutiveness_k6_relset_1,axiom,
! [A: $i,B: $i,C: $i] :
( ( m1_relset_1 @ C @ A @ B )
=> ( ( k6_relset_1 @ A @ B @ ( k6_relset_1 @ A @ B @ C ) )
= C ) ) ).
thf(zip_derived_cl34,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( k6_relset_1 @ X1 @ X2 @ ( k6_relset_1 @ X1 @ X2 @ X0 ) )
= X0 )
| ~ ( m1_relset_1 @ X0 @ X1 @ X2 ) ),
inference(cnf,[status(esa)],[involutiveness_k6_relset_1]) ).
thf(zip_derived_cl4751,plain,
( ( k6_relset_1 @ sk_ @ sk__1 @ ( k6_relset_1 @ sk_ @ sk__1 @ ( k4_relat_1 @ ( k4_relat_1 @ sk__4 ) ) ) )
= ( k4_relat_1 @ ( k4_relat_1 @ sk__4 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl4611,zip_derived_cl34]) ).
thf(zip_derived_cl4611_018,plain,
m1_relset_1 @ ( k4_relat_1 @ ( k4_relat_1 @ sk__4 ) ) @ sk_ @ sk__1,
inference('sup-',[status(thm)],[zip_derived_cl4609,zip_derived_cl47]) ).
thf(zip_derived_cl46_019,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( k6_relset_1 @ X1 @ X2 @ X0 )
= ( k4_relat_1 @ X0 ) )
| ~ ( m1_relset_1 @ X0 @ X1 @ X2 ) ),
inference(cnf,[status(esa)],[redefinition_k6_relset_1]) ).
thf(zip_derived_cl4753,plain,
( ( k6_relset_1 @ sk_ @ sk__1 @ ( k4_relat_1 @ ( k4_relat_1 @ sk__4 ) ) )
= ( k4_relat_1 @ ( k4_relat_1 @ ( k4_relat_1 @ sk__4 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl4611,zip_derived_cl46]) ).
thf(involutiveness_k4_relat_1,axiom,
! [A: $i] :
( ( v1_relat_1 @ A )
=> ( ( k4_relat_1 @ ( k4_relat_1 @ A ) )
= A ) ) ).
thf(zip_derived_cl33,plain,
! [X0: $i] :
( ( ( k4_relat_1 @ ( k4_relat_1 @ X0 ) )
= X0 )
| ~ ( v1_relat_1 @ X0 ) ),
inference(cnf,[status(esa)],[involutiveness_k4_relat_1]) ).
thf(zip_derived_cl4753_020,plain,
( ( k6_relset_1 @ sk_ @ sk__1 @ ( k4_relat_1 @ ( k4_relat_1 @ sk__4 ) ) )
= ( k4_relat_1 @ ( k4_relat_1 @ ( k4_relat_1 @ sk__4 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl4611,zip_derived_cl46]) ).
thf(zip_derived_cl7167,plain,
( ( ( k6_relset_1 @ sk_ @ sk__1 @ sk__4 )
= ( k4_relat_1 @ ( k4_relat_1 @ ( k4_relat_1 @ sk__4 ) ) ) )
| ~ ( v1_relat_1 @ sk__4 ) ),
inference('sup+',[status(thm)],[zip_derived_cl33,zip_derived_cl4753]) ).
thf(zip_derived_cl780_021,plain,
( ( k6_relset_1 @ sk_ @ sk__1 @ sk__4 )
= ( k4_relat_1 @ sk__4 ) ),
inference('sup-',[status(thm)],[zip_derived_cl651,zip_derived_cl46]) ).
thf(zip_derived_cl1_022,plain,
m2_relset_1 @ sk__4 @ sk_ @ sk__1,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl18_023,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_cl427,plain,
m1_subset_1 @ sk__4 @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ sk_ @ sk__1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl1,zip_derived_cl18]) ).
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_cl551,plain,
v1_relat_1 @ sk__4,
inference('sup-',[status(thm)],[zip_derived_cl427,zip_derived_cl7]) ).
thf(zip_derived_cl7189,plain,
( ( k4_relat_1 @ sk__4 )
= ( k4_relat_1 @ ( k4_relat_1 @ ( k4_relat_1 @ sk__4 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl7167,zip_derived_cl780,zip_derived_cl551]) ).
thf(zip_derived_cl7290,plain,
( ( k6_relset_1 @ sk_ @ sk__1 @ ( k4_relat_1 @ ( k4_relat_1 @ sk__4 ) ) )
= ( k4_relat_1 @ sk__4 ) ),
inference(demod,[status(thm)],[zip_derived_cl4753,zip_derived_cl7189]) ).
thf(zip_derived_cl651_024,plain,
m1_relset_1 @ sk__4 @ sk_ @ sk__1,
inference('sup-',[status(thm)],[zip_derived_cl1,zip_derived_cl47]) ).
thf(zip_derived_cl34_025,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( k6_relset_1 @ X1 @ X2 @ ( k6_relset_1 @ X1 @ X2 @ X0 ) )
= X0 )
| ~ ( m1_relset_1 @ X0 @ X1 @ X2 ) ),
inference(cnf,[status(esa)],[involutiveness_k6_relset_1]) ).
thf(zip_derived_cl668,plain,
( ( k6_relset_1 @ sk_ @ sk__1 @ ( k6_relset_1 @ sk_ @ sk__1 @ sk__4 ) )
= sk__4 ),
inference('sup-',[status(thm)],[zip_derived_cl651,zip_derived_cl34]) ).
thf(zip_derived_cl780_026,plain,
( ( k6_relset_1 @ sk_ @ sk__1 @ sk__4 )
= ( k4_relat_1 @ sk__4 ) ),
inference('sup-',[status(thm)],[zip_derived_cl651,zip_derived_cl46]) ).
thf(zip_derived_cl2070,plain,
( ( k6_relset_1 @ sk_ @ sk__1 @ ( k4_relat_1 @ sk__4 ) )
= sk__4 ),
inference(demod,[status(thm)],[zip_derived_cl668,zip_derived_cl780]) ).
thf(zip_derived_cl35629,plain,
( sk__4
= ( k4_relat_1 @ ( k4_relat_1 @ sk__4 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4751,zip_derived_cl7290,zip_derived_cl2070]) ).
thf(zip_derived_cl41263,plain,
! [X0: $i,X1: $i] :
( ~ ( m1_subset_1 @ X0 @ ( k1_zfmisc_1 @ sk__1 ) )
| ( r1_xboole_0 @ X1 @ ( k9_relat_1 @ ( k4_relat_1 @ sk__4 ) @ X0 ) )
| ~ ( r1_xboole_0 @ X0 @ ( k9_relat_1 @ sk__4 @ X1 ) )
| ~ ( m1_subset_1 @ X1 @ ( k1_zfmisc_1 @ sk_ ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1247,zip_derived_cl35629]) ).
thf(zip_derived_cl41286,plain,
! [X0: $i] :
( ~ ( m1_subset_1 @ X0 @ ( k1_zfmisc_1 @ sk_ ) )
| ~ ( r1_xboole_0 @ sk__3 @ ( k9_relat_1 @ sk__4 @ X0 ) )
| ( r1_xboole_0 @ X0 @ ( k9_relat_1 @ ( k4_relat_1 @ sk__4 ) @ sk__3 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl41263]) ).
thf(zip_derived_cl67052,plain,
( ( r1_tarski @ ( k9_relat_1 @ ( k4_relat_1 @ sk__4 ) @ sk__3 ) @ sk__2 )
| ( r1_xboole_0 @ ( k3_subset_1 @ sk_ @ sk__2 ) @ ( k9_relat_1 @ ( k4_relat_1 @ sk__4 ) @ sk__3 ) )
| ~ ( m1_subset_1 @ ( k3_subset_1 @ sk_ @ sk__2 ) @ ( k1_zfmisc_1 @ sk_ ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl33667,zip_derived_cl41286]) ).
thf(zip_derived_cl0,plain,
m1_subset_1 @ sk__2 @ ( k1_zfmisc_1 @ sk_ ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(dt_k3_subset_1,axiom,
! [A: $i,B: $i] :
( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) )
=> ( m1_subset_1 @ ( k3_subset_1 @ A @ B ) @ ( k1_zfmisc_1 @ A ) ) ) ).
thf(zip_derived_cl12,plain,
! [X0: $i,X1: $i] :
( ( m1_subset_1 @ ( k3_subset_1 @ X0 @ X1 ) @ ( k1_zfmisc_1 @ X0 ) )
| ~ ( m1_subset_1 @ X1 @ ( k1_zfmisc_1 @ X0 ) ) ),
inference(cnf,[status(esa)],[dt_k3_subset_1]) ).
thf(zip_derived_cl263,plain,
m1_subset_1 @ ( k3_subset_1 @ sk_ @ sk__2 ) @ ( k1_zfmisc_1 @ sk_ ),
inference('sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl12]) ).
thf(zip_derived_cl67069,plain,
( ( r1_tarski @ ( k9_relat_1 @ ( k4_relat_1 @ sk__4 ) @ sk__3 ) @ sk__2 )
| ( r1_xboole_0 @ ( k3_subset_1 @ sk_ @ sk__2 ) @ ( k9_relat_1 @ ( k4_relat_1 @ sk__4 ) @ sk__3 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl67052,zip_derived_cl263]) ).
thf(zip_derived_cl50_027,plain,
! [X0: $i,X1: $i] :
( ( r1_xboole_0 @ X0 @ X1 )
| ~ ( r1_xboole_0 @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[symmetry_r1_xboole_0]) ).
thf(zip_derived_cl92902,plain,
( ( r1_tarski @ ( k9_relat_1 @ ( k4_relat_1 @ sk__4 ) @ sk__3 ) @ sk__2 )
| ( r1_xboole_0 @ ( k9_relat_1 @ ( k4_relat_1 @ sk__4 ) @ sk__3 ) @ ( k3_subset_1 @ sk_ @ sk__2 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl67069,zip_derived_cl50]) ).
thf(zip_derived_cl823_028,plain,
m1_relset_1 @ ( k4_relat_1 @ sk__4 ) @ sk__1 @ sk_,
inference('sup-',[status(thm)],[zip_derived_cl821,zip_derived_cl47]) ).
thf(zip_derived_cl8_029,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( m1_relset_1 @ X0 @ X1 @ X2 )
| ( m1_subset_1 @ ( k10_relset_1 @ X1 @ X2 @ X0 @ X3 ) @ ( k1_zfmisc_1 @ X2 ) ) ),
inference(cnf,[status(esa)],[dt_k10_relset_1]) ).
thf(zip_derived_cl833,plain,
! [X0: $i] : ( m1_subset_1 @ ( k10_relset_1 @ sk__1 @ sk_ @ ( k4_relat_1 @ sk__4 ) @ X0 ) @ ( k1_zfmisc_1 @ sk_ ) ),
inference('sup-',[status(thm)],[zip_derived_cl823,zip_derived_cl8]) ).
thf(zip_derived_cl835_030,plain,
! [X0: $i] :
( ( k10_relset_1 @ sk__1 @ sk_ @ ( k4_relat_1 @ sk__4 ) @ X0 )
= ( k9_relat_1 @ ( k4_relat_1 @ sk__4 ) @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl823,zip_derived_cl45]) ).
thf(zip_derived_cl10437,plain,
! [X0: $i] : ( m1_subset_1 @ ( k9_relat_1 @ ( k4_relat_1 @ sk__4 ) @ X0 ) @ ( k1_zfmisc_1 @ sk_ ) ),
inference(demod,[status(thm)],[zip_derived_cl833,zip_derived_cl835]) ).
thf(zip_derived_cl263_031,plain,
m1_subset_1 @ ( k3_subset_1 @ sk_ @ sk__2 ) @ ( k1_zfmisc_1 @ sk_ ),
inference('sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl12]) ).
thf(zip_derived_cl56_032,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( m1_subset_1 @ X0 @ ( k1_zfmisc_1 @ X1 ) )
| ~ ( r1_tarski @ X2 @ ( k3_subset_1 @ X1 @ X0 ) )
| ( r1_xboole_0 @ X2 @ X0 )
| ~ ( m1_subset_1 @ X2 @ ( k1_zfmisc_1 @ X1 ) ) ),
inference(cnf,[status(esa)],[t43_subset_1]) ).
thf(zip_derived_cl950,plain,
! [X0: $i] :
( ~ ( m1_subset_1 @ X0 @ ( k1_zfmisc_1 @ sk_ ) )
| ( r1_xboole_0 @ X0 @ ( k3_subset_1 @ sk_ @ sk__2 ) )
| ~ ( r1_tarski @ X0 @ ( k3_subset_1 @ sk_ @ ( k3_subset_1 @ sk_ @ sk__2 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl263,zip_derived_cl56]) ).
thf(zip_derived_cl0_033,plain,
m1_subset_1 @ sk__2 @ ( k1_zfmisc_1 @ sk_ ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(involutiveness_k3_subset_1,axiom,
! [A: $i,B: $i] :
( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) )
=> ( ( k3_subset_1 @ A @ ( k3_subset_1 @ A @ B ) )
= B ) ) ).
thf(zip_derived_cl32,plain,
! [X0: $i,X1: $i] :
( ( ( k3_subset_1 @ X1 @ ( k3_subset_1 @ X1 @ X0 ) )
= X0 )
| ~ ( m1_subset_1 @ X0 @ ( k1_zfmisc_1 @ X1 ) ) ),
inference(cnf,[status(esa)],[involutiveness_k3_subset_1]) ).
thf(zip_derived_cl594,plain,
( ( k3_subset_1 @ sk_ @ ( k3_subset_1 @ sk_ @ sk__2 ) )
= sk__2 ),
inference('sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl32]) ).
thf(zip_derived_cl964,plain,
! [X0: $i] :
( ~ ( m1_subset_1 @ X0 @ ( k1_zfmisc_1 @ sk_ ) )
| ( r1_xboole_0 @ X0 @ ( k3_subset_1 @ sk_ @ sk__2 ) )
| ~ ( r1_tarski @ X0 @ sk__2 ) ),
inference(demod,[status(thm)],[zip_derived_cl950,zip_derived_cl594]) ).
thf(zip_derived_cl10455,plain,
! [X0: $i] :
( ~ ( r1_tarski @ ( k9_relat_1 @ ( k4_relat_1 @ sk__4 ) @ X0 ) @ sk__2 )
| ( r1_xboole_0 @ ( k9_relat_1 @ ( k4_relat_1 @ sk__4 ) @ X0 ) @ ( k3_subset_1 @ sk_ @ sk__2 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl10437,zip_derived_cl964]) ).
thf(zip_derived_cl98395,plain,
r1_xboole_0 @ ( k9_relat_1 @ ( k4_relat_1 @ sk__4 ) @ sk__3 ) @ ( k3_subset_1 @ sk_ @ sk__2 ),
inference(clc,[status(thm)],[zip_derived_cl92902,zip_derived_cl10455]) ).
thf(zip_derived_cl263_034,plain,
m1_subset_1 @ ( k3_subset_1 @ sk_ @ sk__2 ) @ ( k1_zfmisc_1 @ sk_ ),
inference('sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl12]) ).
thf(zip_derived_cl55,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( m1_subset_1 @ X0 @ ( k1_zfmisc_1 @ X1 ) )
| ~ ( r1_xboole_0 @ X2 @ X0 )
| ( r1_tarski @ X2 @ ( k3_subset_1 @ X1 @ X0 ) )
| ~ ( m1_subset_1 @ X2 @ ( k1_zfmisc_1 @ X1 ) ) ),
inference(cnf,[status(esa)],[t43_subset_1]) ).
thf(zip_derived_cl851,plain,
! [X0: $i] :
( ~ ( m1_subset_1 @ X0 @ ( k1_zfmisc_1 @ sk_ ) )
| ( r1_tarski @ X0 @ ( k3_subset_1 @ sk_ @ ( k3_subset_1 @ sk_ @ sk__2 ) ) )
| ~ ( r1_xboole_0 @ X0 @ ( k3_subset_1 @ sk_ @ sk__2 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl263,zip_derived_cl55]) ).
thf(zip_derived_cl594_035,plain,
( ( k3_subset_1 @ sk_ @ ( k3_subset_1 @ sk_ @ sk__2 ) )
= sk__2 ),
inference('sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl32]) ).
thf(zip_derived_cl864,plain,
! [X0: $i] :
( ~ ( m1_subset_1 @ X0 @ ( k1_zfmisc_1 @ sk_ ) )
| ( r1_tarski @ X0 @ sk__2 )
| ~ ( r1_xboole_0 @ X0 @ ( k3_subset_1 @ sk_ @ sk__2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl851,zip_derived_cl594]) ).
thf(zip_derived_cl98397,plain,
( ( r1_tarski @ ( k9_relat_1 @ ( k4_relat_1 @ sk__4 ) @ sk__3 ) @ sk__2 )
| ~ ( m1_subset_1 @ ( k9_relat_1 @ ( k4_relat_1 @ sk__4 ) @ sk__3 ) @ ( k1_zfmisc_1 @ sk_ ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl98395,zip_derived_cl864]) ).
thf(zip_derived_cl10437_036,plain,
! [X0: $i] : ( m1_subset_1 @ ( k9_relat_1 @ ( k4_relat_1 @ sk__4 ) @ X0 ) @ ( k1_zfmisc_1 @ sk_ ) ),
inference(demod,[status(thm)],[zip_derived_cl833,zip_derived_cl835]) ).
thf(zip_derived_cl98453,plain,
r1_tarski @ ( k9_relat_1 @ ( k4_relat_1 @ sk__4 ) @ sk__3 ) @ sk__2,
inference(demod,[status(thm)],[zip_derived_cl98397,zip_derived_cl10437]) ).
thf(zip_derived_cl98462,plain,
~ ( r1_tarski @ ( k9_relat_1 @ sk__4 @ ( k3_subset_1 @ sk_ @ sk__2 ) ) @ ( k3_subset_1 @ sk__1 @ sk__3 ) ),
inference(demod,[status(thm)],[zip_derived_cl20137,zip_derived_cl98453]) ).
thf(zip_derived_cl98395_037,plain,
r1_xboole_0 @ ( k9_relat_1 @ ( k4_relat_1 @ sk__4 ) @ sk__3 ) @ ( k3_subset_1 @ sk_ @ sk__2 ),
inference(clc,[status(thm)],[zip_derived_cl92902,zip_derived_cl10455]) ).
thf(zip_derived_cl50_038,plain,
! [X0: $i,X1: $i] :
( ( r1_xboole_0 @ X0 @ X1 )
| ~ ( r1_xboole_0 @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[symmetry_r1_xboole_0]) ).
thf(zip_derived_cl98396,plain,
r1_xboole_0 @ ( k3_subset_1 @ sk_ @ sk__2 ) @ ( k9_relat_1 @ ( k4_relat_1 @ sk__4 ) @ sk__3 ),
inference('sup-',[status(thm)],[zip_derived_cl98395,zip_derived_cl50]) ).
thf(zip_derived_cl427_039,plain,
m1_subset_1 @ sk__4 @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ sk_ @ sk__1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl1,zip_derived_cl18]) ).
thf(zip_derived_cl59_040,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ ( m1_subset_1 @ X0 @ ( k1_zfmisc_1 @ X1 ) )
| ~ ( r1_xboole_0 @ X2 @ ( k9_relat_1 @ ( k4_relat_1 @ X3 ) @ X0 ) )
| ( r1_xboole_0 @ X0 @ ( k9_relat_1 @ X3 @ X2 ) )
| ~ ( m1_subset_1 @ X3 @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ X4 @ X1 ) ) )
| ~ ( m1_subset_1 @ X2 @ ( k1_zfmisc_1 @ X4 ) ) ),
inference(cnf,[status(esa)],[t46_relset_2]) ).
thf(zip_derived_cl1249,plain,
! [X0: $i,X1: $i] :
( ~ ( m1_subset_1 @ X0 @ ( k1_zfmisc_1 @ sk_ ) )
| ( r1_xboole_0 @ X1 @ ( k9_relat_1 @ sk__4 @ X0 ) )
| ~ ( r1_xboole_0 @ X0 @ ( k9_relat_1 @ ( k4_relat_1 @ sk__4 ) @ X1 ) )
| ~ ( m1_subset_1 @ X1 @ ( k1_zfmisc_1 @ sk__1 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl427,zip_derived_cl59]) ).
thf(zip_derived_cl99132,plain,
( ~ ( m1_subset_1 @ sk__3 @ ( k1_zfmisc_1 @ sk__1 ) )
| ( r1_xboole_0 @ sk__3 @ ( k9_relat_1 @ sk__4 @ ( k3_subset_1 @ sk_ @ sk__2 ) ) )
| ~ ( m1_subset_1 @ ( k3_subset_1 @ sk_ @ sk__2 ) @ ( k1_zfmisc_1 @ sk_ ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl98396,zip_derived_cl1249]) ).
thf(zip_derived_cl4_041,plain,
m1_subset_1 @ sk__3 @ ( k1_zfmisc_1 @ sk__1 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl263_042,plain,
m1_subset_1 @ ( k3_subset_1 @ sk_ @ sk__2 ) @ ( k1_zfmisc_1 @ sk_ ),
inference('sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl12]) ).
thf(zip_derived_cl99189,plain,
r1_xboole_0 @ sk__3 @ ( k9_relat_1 @ sk__4 @ ( k3_subset_1 @ sk_ @ sk__2 ) ),
inference(demod,[status(thm)],[zip_derived_cl99132,zip_derived_cl4,zip_derived_cl263]) ).
thf(zip_derived_cl50_043,plain,
! [X0: $i,X1: $i] :
( ( r1_xboole_0 @ X0 @ X1 )
| ~ ( r1_xboole_0 @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[symmetry_r1_xboole_0]) ).
thf(zip_derived_cl99190,plain,
r1_xboole_0 @ ( k9_relat_1 @ sk__4 @ ( k3_subset_1 @ sk_ @ sk__2 ) ) @ sk__3,
inference('sup-',[status(thm)],[zip_derived_cl99189,zip_derived_cl50]) ).
thf(zip_derived_cl2362_044,plain,
! [X0: $i] : ( m1_subset_1 @ ( k9_relat_1 @ sk__4 @ X0 ) @ ( k1_zfmisc_1 @ sk__1 ) ),
inference(demod,[status(thm)],[zip_derived_cl653,zip_derived_cl741]) ).
thf(zip_derived_cl4_045,plain,
m1_subset_1 @ sk__3 @ ( k1_zfmisc_1 @ sk__1 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl55_046,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( m1_subset_1 @ X0 @ ( k1_zfmisc_1 @ X1 ) )
| ~ ( r1_xboole_0 @ X2 @ X0 )
| ( r1_tarski @ X2 @ ( k3_subset_1 @ X1 @ X0 ) )
| ~ ( m1_subset_1 @ X2 @ ( k1_zfmisc_1 @ X1 ) ) ),
inference(cnf,[status(esa)],[t43_subset_1]) ).
thf(zip_derived_cl855,plain,
! [X0: $i] :
( ~ ( m1_subset_1 @ X0 @ ( k1_zfmisc_1 @ sk__1 ) )
| ( r1_tarski @ X0 @ ( k3_subset_1 @ sk__1 @ sk__3 ) )
| ~ ( r1_xboole_0 @ X0 @ sk__3 ) ),
inference('sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl55]) ).
thf(zip_derived_cl2378,plain,
! [X0: $i] :
( ~ ( r1_xboole_0 @ ( k9_relat_1 @ sk__4 @ X0 ) @ sk__3 )
| ( r1_tarski @ ( k9_relat_1 @ sk__4 @ X0 ) @ ( k3_subset_1 @ sk__1 @ sk__3 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl2362,zip_derived_cl855]) ).
thf(zip_derived_cl99237,plain,
r1_tarski @ ( k9_relat_1 @ sk__4 @ ( k3_subset_1 @ sk_ @ sk__2 ) ) @ ( k3_subset_1 @ sk__1 @ sk__3 ),
inference('sup-',[status(thm)],[zip_derived_cl99190,zip_derived_cl2378]) ).
thf(zip_derived_cl99737,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl98462,zip_derived_cl99237]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SEU448+1 : TPTP v8.1.2. Released v3.4.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.iVK75eobzA true
% 0.14/0.34 % Computer : n015.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Wed Aug 23 20:18:50 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.35 % Number of cores: 8
% 0.19/0.35 % Python version: Python 3.6.8
% 0.19/0.35 % Running in FO mode
% 0.21/0.67 % Total configuration time : 435
% 0.21/0.67 % Estimated wc time : 1092
% 0.21/0.67 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.74 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.74 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.74 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.74 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.75 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.76 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.76 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 82.60/12.51 % Solved by fo/fo5.sh.
% 82.60/12.51 % done 11654 iterations in 11.715s
% 82.60/12.51 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 82.60/12.51 % SZS output start Refutation
% See solution above
% 82.60/12.51
% 82.60/12.51
% 82.60/12.51 % Terminating...
% 83.64/12.69 % Runner terminated.
% 83.64/12.71 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------