TSTP Solution File: SEU235+3 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU235+3 : TPTP v8.1.2. Released v3.2.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.2dkj0dORR2 true
% Computer : n012.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 19:11:29 EDT 2023
% Result : Theorem 88.51s 13.24s
% Output : Refutation 88.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 59
% Number of leaves : 39
% Syntax : Number of formulae : 347 ( 64 unt; 19 typ; 0 def)
% Number of atoms : 856 ( 121 equ; 0 cnn)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 2438 ( 469 ~; 474 |; 31 &;1441 @)
% ( 3 <=>; 20 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 20 ( 20 >; 0 *; 0 +; 0 <<)
% Number of symbols : 21 ( 19 usr; 4 con; 0-2 aty)
% Number of variables : 343 ( 0 ^; 342 !; 1 ?; 343 :)
% Comments :
%------------------------------------------------------------------------------
thf(epsilon_transitive_type,type,
epsilon_transitive: $i > $o ).
thf(sk__17_type,type,
sk__17: $i ).
thf(ordinal_subset_type,type,
ordinal_subset: $i > $i > $o ).
thf(subset_type,type,
subset: $i > $i > $o ).
thf(function_type,type,
function: $i > $o ).
thf(sk__1_type,type,
sk__1: $i > $i ).
thf(sk__18_type,type,
sk__18: $i > $i ).
thf(in_type,type,
in: $i > $i > $o ).
thf(element_type,type,
element: $i > $i > $o ).
thf(one_to_one_type,type,
one_to_one: $i > $o ).
thf(powerset_type,type,
powerset: $i > $i ).
thf(empty_set_type,type,
empty_set: $i ).
thf(sk__15_type,type,
sk__15: $i ).
thf(relation_empty_yielding_type,type,
relation_empty_yielding: $i > $o ).
thf(epsilon_connected_type,type,
epsilon_connected: $i > $o ).
thf(sk__16_type,type,
sk__16: $i > $i ).
thf(ordinal_type,type,
ordinal: $i > $o ).
thf(empty_type,type,
empty: $i > $o ).
thf(relation_type,type,
relation: $i > $o ).
thf(redefinition_r1_ordinal1,axiom,
! [A: $i,B: $i] :
( ( ( ordinal @ A )
& ( ordinal @ B ) )
=> ( ( ordinal_subset @ A @ B )
<=> ( subset @ A @ B ) ) ) ).
thf(zip_derived_cl68,plain,
! [X0: $i,X1: $i] :
( ~ ( ordinal @ X0 )
| ~ ( ordinal @ X1 )
| ( ordinal_subset @ X0 @ X1 )
| ~ ( subset @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[redefinition_r1_ordinal1]) ).
thf(cc3_ordinal1,axiom,
! [A: $i] :
( ( empty @ A )
=> ( ( epsilon_transitive @ A )
& ( epsilon_connected @ A )
& ( ordinal @ A ) ) ) ).
thf(zip_derived_cl11,plain,
! [X0: $i] :
( ( ordinal @ X0 )
| ~ ( empty @ X0 ) ),
inference(cnf,[status(esa)],[cc3_ordinal1]) ).
thf(t24_ordinal1,axiom,
! [A: $i] :
( ( ordinal @ A )
=> ! [B: $i] :
( ( ordinal @ B )
=> ~ ( ~ ( in @ A @ B )
& ( A != B )
& ~ ( in @ B @ A ) ) ) ) ).
thf(zip_derived_cl73,plain,
! [X0: $i,X1: $i] :
( ~ ( ordinal @ X0 )
| ( in @ X1 @ X0 )
| ( X1 = X0 )
| ( in @ X0 @ X1 )
| ~ ( ordinal @ X1 ) ),
inference(cnf,[status(esa)],[t24_ordinal1]) ).
thf(cc1_ordinal1,axiom,
! [A: $i] :
( ( ordinal @ A )
=> ( ( epsilon_transitive @ A )
& ( epsilon_connected @ A ) ) ) ).
thf(zip_derived_cl2,plain,
! [X0: $i] :
( ( epsilon_transitive @ X0 )
| ~ ( ordinal @ X0 ) ),
inference(cnf,[status(esa)],[cc1_ordinal1]) ).
thf(zip_derived_cl11_001,plain,
! [X0: $i] :
( ( ordinal @ X0 )
| ~ ( empty @ X0 ) ),
inference(cnf,[status(esa)],[cc3_ordinal1]) ).
thf(zip_derived_cl73_002,plain,
! [X0: $i,X1: $i] :
( ~ ( ordinal @ X0 )
| ( in @ X1 @ X0 )
| ( X1 = X0 )
| ( in @ X0 @ X1 )
| ~ ( ordinal @ X1 ) ),
inference(cnf,[status(esa)],[t24_ordinal1]) ).
thf(existence_m1_subset_1,axiom,
! [A: $i] :
? [B: $i] : ( element @ B @ A ) ).
thf(zip_derived_cl16,plain,
! [X0: $i] : ( element @ ( sk__1 @ X0 ) @ X0 ),
inference(cnf,[status(esa)],[existence_m1_subset_1]) ).
thf(t2_subset,axiom,
! [A: $i,B: $i] :
( ( element @ A @ B )
=> ( ( empty @ B )
| ( in @ A @ B ) ) ) ).
thf(zip_derived_cl74,plain,
! [X0: $i,X1: $i] :
( ( in @ X0 @ X1 )
| ( empty @ X1 )
| ~ ( element @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[t2_subset]) ).
thf(zip_derived_cl593,plain,
! [X0: $i] :
( ( in @ ( sk__1 @ X0 ) @ X0 )
| ( empty @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl16,zip_derived_cl74]) ).
thf(zip_derived_cl16_003,plain,
! [X0: $i] : ( element @ ( sk__1 @ X0 ) @ X0 ),
inference(cnf,[status(esa)],[existence_m1_subset_1]) ).
thf(t5_subset,axiom,
! [A: $i,B: $i,C: $i] :
~ ( ( in @ A @ B )
& ( element @ B @ ( powerset @ C ) )
& ( empty @ C ) ) ).
thf(zip_derived_cl84,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( in @ X0 @ X1 )
| ~ ( empty @ X2 )
| ~ ( element @ X1 @ ( powerset @ X2 ) ) ),
inference(cnf,[status(esa)],[t5_subset]) ).
thf(zip_derived_cl534,plain,
! [X0: $i,X1: $i] :
( ~ ( in @ X1 @ ( sk__1 @ ( powerset @ X0 ) ) )
| ~ ( empty @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl16,zip_derived_cl84]) ).
thf(zip_derived_cl764,plain,
! [X0: $i] :
( ( empty @ ( sk__1 @ ( powerset @ X0 ) ) )
| ~ ( empty @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl593,zip_derived_cl534]) ).
thf(t6_boole,axiom,
! [A: $i] :
( ( empty @ A )
=> ( A = empty_set ) ) ).
thf(zip_derived_cl85,plain,
! [X0: $i] :
( ( X0 = empty_set )
| ~ ( empty @ X0 ) ),
inference(cnf,[status(esa)],[t6_boole]) ).
thf(zip_derived_cl1474,plain,
! [X0: $i] :
( ~ ( empty @ X0 )
| ( ( sk__1 @ ( powerset @ X0 ) )
= empty_set ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl764,zip_derived_cl85]) ).
thf(zip_derived_cl534_004,plain,
! [X0: $i,X1: $i] :
( ~ ( in @ X1 @ ( sk__1 @ ( powerset @ X0 ) ) )
| ~ ( empty @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl16,zip_derived_cl84]) ).
thf(zip_derived_cl1496,plain,
! [X0: $i,X1: $i] :
( ~ ( empty @ X0 )
| ~ ( in @ X1 @ empty_set )
| ~ ( empty @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1474,zip_derived_cl534]) ).
thf(zip_derived_cl1504,plain,
! [X0: $i,X1: $i] :
( ~ ( in @ X1 @ empty_set )
| ~ ( empty @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl1496]) ).
thf(zip_derived_cl1507,plain,
! [X0: $i,X1: $i] :
( ~ ( ordinal @ empty_set )
| ( empty_set = X0 )
| ( in @ empty_set @ X0 )
| ~ ( ordinal @ X0 )
| ~ ( empty @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl73,zip_derived_cl1504]) ).
thf(fc2_ordinal1,axiom,
( ( ordinal @ empty_set )
& ( epsilon_connected @ empty_set )
& ( epsilon_transitive @ empty_set )
& ( empty @ empty_set )
& ( one_to_one @ empty_set )
& ( function @ empty_set )
& ( relation_empty_yielding @ empty_set )
& ( relation @ empty_set ) ) ).
thf(zip_derived_cl21,plain,
ordinal @ empty_set,
inference(cnf,[status(esa)],[fc2_ordinal1]) ).
thf(zip_derived_cl1514,plain,
! [X0: $i,X1: $i] :
( ( empty_set = X0 )
| ( in @ empty_set @ X0 )
| ~ ( ordinal @ X0 )
| ~ ( empty @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl1507,zip_derived_cl21]) ).
thf(t32_ordinal1,conjecture,
! [A: $i,B: $i] :
( ( ordinal @ B )
=> ~ ( ( subset @ A @ B )
& ( A != empty_set )
& ! [C: $i] :
( ( ordinal @ C )
=> ~ ( ( in @ C @ A )
& ! [D: $i] :
( ( ordinal @ D )
=> ( ( in @ D @ A )
=> ( ordinal_subset @ C @ D ) ) ) ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [A: $i,B: $i] :
( ( ordinal @ B )
=> ~ ( ( subset @ A @ B )
& ( A != empty_set )
& ! [C: $i] :
( ( ordinal @ C )
=> ~ ( ( in @ C @ A )
& ! [D: $i] :
( ( ordinal @ D )
=> ( ( in @ D @ A )
=> ( ordinal_subset @ C @ D ) ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[t32_ordinal1]) ).
thf(zip_derived_cl75,plain,
subset @ sk__15 @ sk__17,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(t3_subset,axiom,
! [A: $i,B: $i] :
( ( element @ A @ ( powerset @ B ) )
<=> ( subset @ A @ B ) ) ).
thf(zip_derived_cl82,plain,
! [X0: $i,X1: $i] :
( ( element @ X0 @ ( powerset @ X1 ) )
| ~ ( subset @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[t3_subset]) ).
thf(t4_subset,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( in @ A @ B )
& ( element @ B @ ( powerset @ C ) ) )
=> ( element @ A @ C ) ) ).
thf(zip_derived_cl83,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( in @ X0 @ X1 )
| ~ ( element @ X1 @ ( powerset @ X2 ) )
| ( element @ X0 @ X2 ) ),
inference(cnf,[status(esa)],[t4_subset]) ).
thf(zip_derived_cl621,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( subset @ X1 @ X0 )
| ~ ( in @ X2 @ X1 )
| ( element @ X2 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl82,zip_derived_cl83]) ).
thf(zip_derived_cl703,plain,
! [X0: $i] :
( ~ ( in @ X0 @ sk__15 )
| ( element @ X0 @ sk__17 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl75,zip_derived_cl621]) ).
thf(zip_derived_cl74_005,plain,
! [X0: $i,X1: $i] :
( ( in @ X0 @ X1 )
| ( empty @ X1 )
| ~ ( element @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[t2_subset]) ).
thf(zip_derived_cl721,plain,
! [X0: $i] :
( ~ ( in @ X0 @ sk__15 )
| ( in @ X0 @ sk__17 )
| ( empty @ sk__17 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl703,zip_derived_cl74]) ).
thf(zip_derived_cl75_006,plain,
subset @ sk__15 @ sk__17,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl82_007,plain,
! [X0: $i,X1: $i] :
( ( element @ X0 @ ( powerset @ X1 ) )
| ~ ( subset @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[t3_subset]) ).
thf(zip_derived_cl84_008,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( in @ X0 @ X1 )
| ~ ( empty @ X2 )
| ~ ( element @ X1 @ ( powerset @ X2 ) ) ),
inference(cnf,[status(esa)],[t5_subset]) ).
thf(zip_derived_cl612,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( subset @ X1 @ X0 )
| ~ ( in @ X2 @ X1 )
| ~ ( empty @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl82,zip_derived_cl84]) ).
thf(zip_derived_cl619,plain,
! [X0: $i] :
( ~ ( in @ X0 @ sk__15 )
| ~ ( empty @ sk__17 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl75,zip_derived_cl612]) ).
thf(zip_derived_cl965,plain,
! [X0: $i] :
( ( in @ X0 @ sk__17 )
| ~ ( in @ X0 @ sk__15 ) ),
inference(clc,[status(thm)],[zip_derived_cl721,zip_derived_cl619]) ).
thf(t7_tarski,axiom,
! [A: $i,B: $i] :
~ ( ( in @ A @ B )
& ! [C: $i] :
~ ( ( in @ C @ B )
& ! [D: $i] :
~ ( ( in @ D @ B )
& ( in @ D @ C ) ) ) ) ).
thf(zip_derived_cl87,plain,
! [X0: $i,X1: $i] :
( ~ ( in @ X0 @ X1 )
| ( in @ ( sk__18 @ X1 ) @ X1 ) ),
inference(cnf,[status(esa)],[t7_tarski]) ).
thf(zip_derived_cl969,plain,
! [X0: $i] :
( ~ ( in @ X0 @ sk__15 )
| ( in @ ( sk__18 @ sk__17 ) @ sk__17 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl965,zip_derived_cl87]) ).
thf(zip_derived_cl1629,plain,
! [X0: $i] :
( ~ ( empty @ X0 )
| ~ ( ordinal @ sk__15 )
| ( empty_set = sk__15 )
| ( in @ ( sk__18 @ sk__17 ) @ sk__17 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1514,zip_derived_cl969]) ).
thf(zip_derived_cl77,plain,
sk__15 != empty_set,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1677,plain,
! [X0: $i] :
( ~ ( empty @ X0 )
| ~ ( ordinal @ sk__15 )
| ( in @ ( sk__18 @ sk__17 ) @ sk__17 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1629,zip_derived_cl77]) ).
thf(zip_derived_cl1795,plain,
! [X0: $i] :
( ~ ( empty @ sk__15 )
| ~ ( empty @ X0 )
| ( in @ ( sk__18 @ sk__17 ) @ sk__17 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl11,zip_derived_cl1677]) ).
thf(zip_derived_cl1972,plain,
( ~ ( empty @ sk__15 )
| ( in @ ( sk__18 @ sk__17 ) @ sk__17 ) ),
inference(condensation,[status(thm)],[zip_derived_cl1795]) ).
thf(zip_derived_cl593_009,plain,
! [X0: $i] :
( ( in @ ( sk__1 @ X0 ) @ X0 )
| ( empty @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl16,zip_derived_cl74]) ).
thf(zip_derived_cl969_010,plain,
! [X0: $i] :
( ~ ( in @ X0 @ sk__15 )
| ( in @ ( sk__18 @ sk__17 ) @ sk__17 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl965,zip_derived_cl87]) ).
thf(zip_derived_cl1059,plain,
( ( empty @ sk__15 )
| ( in @ ( sk__18 @ sk__17 ) @ sk__17 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl593,zip_derived_cl969]) ).
thf(zip_derived_cl1973,plain,
in @ ( sk__18 @ sk__17 ) @ sk__17,
inference(clc,[status(thm)],[zip_derived_cl1972,zip_derived_cl1059]) ).
thf(d2_ordinal1,axiom,
! [A: $i] :
( ( epsilon_transitive @ A )
<=> ! [B: $i] :
( ( in @ B @ A )
=> ( subset @ B @ A ) ) ) ).
thf(zip_derived_cl13,plain,
! [X0: $i,X1: $i] :
( ~ ( in @ X0 @ X1 )
| ( subset @ X0 @ X1 )
| ~ ( epsilon_transitive @ X1 ) ),
inference(cnf,[status(esa)],[d2_ordinal1]) ).
thf(zip_derived_cl621_011,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( subset @ X1 @ X0 )
| ~ ( in @ X2 @ X1 )
| ( element @ X2 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl82,zip_derived_cl83]) ).
thf(zip_derived_cl700,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( epsilon_transitive @ X0 )
| ~ ( in @ X1 @ X0 )
| ~ ( in @ X2 @ X1 )
| ( element @ X2 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl13,zip_derived_cl621]) ).
thf(zip_derived_cl1978,plain,
! [X0: $i] :
( ~ ( epsilon_transitive @ sk__17 )
| ~ ( in @ X0 @ ( sk__18 @ sk__17 ) )
| ( element @ X0 @ sk__17 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1973,zip_derived_cl700]) ).
thf(zip_derived_cl2865,plain,
! [X0: $i] :
( ~ ( ordinal @ sk__17 )
| ~ ( in @ X0 @ ( sk__18 @ sk__17 ) )
| ( element @ X0 @ sk__17 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl1978]) ).
thf(zip_derived_cl76,plain,
ordinal @ sk__17,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2867,plain,
! [X0: $i] :
( ~ ( in @ X0 @ ( sk__18 @ sk__17 ) )
| ( element @ X0 @ sk__17 ) ),
inference(demod,[status(thm)],[zip_derived_cl2865,zip_derived_cl76]) ).
thf(zip_derived_cl593_012,plain,
! [X0: $i] :
( ( in @ ( sk__1 @ X0 ) @ X0 )
| ( empty @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl16,zip_derived_cl74]) ).
thf(zip_derived_cl2867_013,plain,
! [X0: $i] :
( ~ ( in @ X0 @ ( sk__18 @ sk__17 ) )
| ( element @ X0 @ sk__17 ) ),
inference(demod,[status(thm)],[zip_derived_cl2865,zip_derived_cl76]) ).
thf(zip_derived_cl2874,plain,
( ( empty @ ( sk__18 @ sk__17 ) )
| ( element @ ( sk__1 @ ( sk__18 @ sk__17 ) ) @ sk__17 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl593,zip_derived_cl2867]) ).
thf(zip_derived_cl74_014,plain,
! [X0: $i,X1: $i] :
( ( in @ X0 @ X1 )
| ( empty @ X1 )
| ~ ( element @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[t2_subset]) ).
thf(zip_derived_cl2965,plain,
( ( empty @ ( sk__18 @ sk__17 ) )
| ( in @ ( sk__1 @ ( sk__18 @ sk__17 ) ) @ sk__17 )
| ( empty @ sk__17 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2874,zip_derived_cl74]) ).
thf(zip_derived_cl1973_015,plain,
in @ ( sk__18 @ sk__17 ) @ sk__17,
inference(clc,[status(thm)],[zip_derived_cl1972,zip_derived_cl1059]) ).
thf(t7_boole,axiom,
! [A: $i,B: $i] :
~ ( ( in @ A @ B )
& ( empty @ B ) ) ).
thf(zip_derived_cl86,plain,
! [X0: $i,X1: $i] :
( ~ ( in @ X0 @ X1 )
| ~ ( empty @ X1 ) ),
inference(cnf,[status(esa)],[t7_boole]) ).
thf(zip_derived_cl1976,plain,
~ ( empty @ sk__17 ),
inference('s_sup-',[status(thm)],[zip_derived_cl1973,zip_derived_cl86]) ).
thf(zip_derived_cl2976,plain,
( ( empty @ ( sk__18 @ sk__17 ) )
| ( in @ ( sk__1 @ ( sk__18 @ sk__17 ) ) @ sk__17 ) ),
inference(demod,[status(thm)],[zip_derived_cl2965,zip_derived_cl1976]) ).
thf(zip_derived_cl593_016,plain,
! [X0: $i] :
( ( in @ ( sk__1 @ X0 ) @ X0 )
| ( empty @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl16,zip_derived_cl74]) ).
thf(zip_derived_cl88,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( in @ X0 @ X1 )
| ~ ( in @ X2 @ X1 )
| ~ ( in @ X2 @ ( sk__18 @ X1 ) ) ),
inference(cnf,[status(esa)],[t7_tarski]) ).
thf(zip_derived_cl641,plain,
! [X0: $i,X1: $i] :
( ~ ( in @ X1 @ ( sk__18 @ X0 ) )
| ~ ( in @ X1 @ X0 ) ),
inference(condensation,[status(thm)],[zip_derived_cl88]) ).
thf(zip_derived_cl771,plain,
! [X0: $i] :
( ( empty @ ( sk__18 @ X0 ) )
| ~ ( in @ ( sk__1 @ ( sk__18 @ X0 ) ) @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl593,zip_derived_cl641]) ).
thf(zip_derived_cl3154,plain,
empty @ ( sk__18 @ sk__17 ),
inference(clc,[status(thm)],[zip_derived_cl2976,zip_derived_cl771]) ).
thf(zip_derived_cl85_017,plain,
! [X0: $i] :
( ( X0 = empty_set )
| ~ ( empty @ X0 ) ),
inference(cnf,[status(esa)],[t6_boole]) ).
thf(zip_derived_cl3156,plain,
( ( sk__18 @ sk__17 )
= empty_set ),
inference('s_sup-',[status(thm)],[zip_derived_cl3154,zip_derived_cl85]) ).
thf(zip_derived_cl3200,plain,
! [X0: $i] :
( ~ ( in @ X0 @ empty_set )
| ( element @ X0 @ sk__17 ) ),
inference(demod,[status(thm)],[zip_derived_cl2867,zip_derived_cl3156]) ).
thf(zip_derived_cl74_018,plain,
! [X0: $i,X1: $i] :
( ( in @ X0 @ X1 )
| ( empty @ X1 )
| ~ ( element @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[t2_subset]) ).
thf(zip_derived_cl3793,plain,
! [X0: $i] :
( ~ ( in @ X0 @ empty_set )
| ( in @ X0 @ sk__17 )
| ( empty @ sk__17 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl3200,zip_derived_cl74]) ).
thf(zip_derived_cl1976_019,plain,
~ ( empty @ sk__17 ),
inference('s_sup-',[status(thm)],[zip_derived_cl1973,zip_derived_cl86]) ).
thf(zip_derived_cl3794,plain,
! [X0: $i] :
( ~ ( in @ X0 @ empty_set )
| ( in @ X0 @ sk__17 ) ),
inference(demod,[status(thm)],[zip_derived_cl3793,zip_derived_cl1976]) ).
thf(zip_derived_cl3156_020,plain,
( ( sk__18 @ sk__17 )
= empty_set ),
inference('s_sup-',[status(thm)],[zip_derived_cl3154,zip_derived_cl85]) ).
thf(zip_derived_cl641_021,plain,
! [X0: $i,X1: $i] :
( ~ ( in @ X1 @ ( sk__18 @ X0 ) )
| ~ ( in @ X1 @ X0 ) ),
inference(condensation,[status(thm)],[zip_derived_cl88]) ).
thf(zip_derived_cl3204,plain,
! [X0: $i] :
( ~ ( in @ X0 @ empty_set )
| ~ ( in @ X0 @ sk__17 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl3156,zip_derived_cl641]) ).
thf(zip_derived_cl3795,plain,
! [X0: $i] :
~ ( in @ X0 @ empty_set ),
inference(clc,[status(thm)],[zip_derived_cl3794,zip_derived_cl3204]) ).
thf(zip_derived_cl3796,plain,
! [X0: $i] :
( ~ ( ordinal @ empty_set )
| ( empty_set = X0 )
| ( in @ empty_set @ X0 )
| ~ ( ordinal @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl73,zip_derived_cl3795]) ).
thf(zip_derived_cl21_022,plain,
ordinal @ empty_set,
inference(cnf,[status(esa)],[fc2_ordinal1]) ).
thf(zip_derived_cl3806,plain,
! [X0: $i] :
( ( empty_set = X0 )
| ( in @ empty_set @ X0 )
| ~ ( ordinal @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl3796,zip_derived_cl21]) ).
thf(zip_derived_cl87_023,plain,
! [X0: $i,X1: $i] :
( ~ ( in @ X0 @ X1 )
| ( in @ ( sk__18 @ X1 ) @ X1 ) ),
inference(cnf,[status(esa)],[t7_tarski]) ).
thf(zip_derived_cl3836,plain,
! [X0: $i] :
( ~ ( ordinal @ X0 )
| ( empty_set = X0 )
| ( in @ ( sk__18 @ X0 ) @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl3806,zip_derived_cl87]) ).
thf(zip_derived_cl78,plain,
! [X0: $i] :
( ( in @ ( sk__16 @ X0 ) @ sk__15 )
| ~ ( in @ X0 @ sk__15 )
| ~ ( ordinal @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl79,plain,
! [X0: $i] :
( ~ ( ordinal_subset @ X0 @ ( sk__16 @ X0 ) )
| ~ ( in @ X0 @ sk__15 )
| ~ ( ordinal @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl606,plain,
! [X0: $i] :
( ~ ( ordinal @ X0 )
| ~ ( in @ X0 @ sk__15 )
| ~ ( ordinal_subset @ ( sk__16 @ X0 ) @ ( sk__16 @ ( sk__16 @ X0 ) ) )
| ~ ( ordinal @ ( sk__16 @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl78,zip_derived_cl79]) ).
thf(zip_derived_cl80,plain,
! [X0: $i] :
( ( ordinal @ ( sk__16 @ X0 ) )
| ~ ( in @ X0 @ sk__15 )
| ~ ( ordinal @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl647,plain,
! [X0: $i] :
( ~ ( ordinal_subset @ ( sk__16 @ X0 ) @ ( sk__16 @ ( sk__16 @ X0 ) ) )
| ~ ( in @ X0 @ sk__15 )
| ~ ( ordinal @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl606,zip_derived_cl80]) ).
thf(zip_derived_cl4334,plain,
( ( empty_set = sk__15 )
| ~ ( ordinal @ sk__15 )
| ~ ( ordinal_subset @ ( sk__16 @ ( sk__18 @ sk__15 ) ) @ ( sk__16 @ ( sk__16 @ ( sk__18 @ sk__15 ) ) ) )
| ~ ( ordinal @ ( sk__18 @ sk__15 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl3836,zip_derived_cl647]) ).
thf(zip_derived_cl77_024,plain,
sk__15 != empty_set,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl4387,plain,
( ~ ( ordinal @ sk__15 )
| ~ ( ordinal_subset @ ( sk__16 @ ( sk__18 @ sk__15 ) ) @ ( sk__16 @ ( sk__16 @ ( sk__18 @ sk__15 ) ) ) )
| ~ ( ordinal @ ( sk__18 @ sk__15 ) ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4334,zip_derived_cl77]) ).
thf(zip_derived_cl11_025,plain,
! [X0: $i] :
( ( ordinal @ X0 )
| ~ ( empty @ X0 ) ),
inference(cnf,[status(esa)],[cc3_ordinal1]) ).
thf(zip_derived_cl3836_026,plain,
! [X0: $i] :
( ~ ( ordinal @ X0 )
| ( empty_set = X0 )
| ( in @ ( sk__18 @ X0 ) @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl3806,zip_derived_cl87]) ).
thf(zip_derived_cl965_027,plain,
! [X0: $i] :
( ( in @ X0 @ sk__17 )
| ~ ( in @ X0 @ sk__15 ) ),
inference(clc,[status(thm)],[zip_derived_cl721,zip_derived_cl619]) ).
thf(t23_ordinal1,axiom,
! [A: $i,B: $i] :
( ( ordinal @ B )
=> ( ( in @ A @ B )
=> ( ordinal @ A ) ) ) ).
thf(zip_derived_cl72,plain,
! [X0: $i,X1: $i] :
( ( ordinal @ X0 )
| ~ ( ordinal @ X1 )
| ~ ( in @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[t23_ordinal1]) ).
thf(zip_derived_cl967,plain,
! [X0: $i] :
( ~ ( in @ X0 @ sk__15 )
| ( ordinal @ X0 )
| ~ ( ordinal @ sk__17 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl965,zip_derived_cl72]) ).
thf(zip_derived_cl76_028,plain,
ordinal @ sk__17,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl976,plain,
! [X0: $i] :
( ~ ( in @ X0 @ sk__15 )
| ( ordinal @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl967,zip_derived_cl76]) ).
thf(zip_derived_cl4343,plain,
( ( empty_set = sk__15 )
| ~ ( ordinal @ sk__15 )
| ( ordinal @ ( sk__18 @ sk__15 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl3836,zip_derived_cl976]) ).
thf(zip_derived_cl77_029,plain,
sk__15 != empty_set,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl4396,plain,
( ~ ( ordinal @ sk__15 )
| ( ordinal @ ( sk__18 @ sk__15 ) ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4343,zip_derived_cl77]) ).
thf(zip_derived_cl4432,plain,
( ~ ( empty @ sk__15 )
| ( ordinal @ ( sk__18 @ sk__15 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl11,zip_derived_cl4396]) ).
thf(zip_derived_cl593_030,plain,
! [X0: $i] :
( ( in @ ( sk__1 @ X0 ) @ X0 )
| ( empty @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl16,zip_derived_cl74]) ).
thf(zip_derived_cl87_031,plain,
! [X0: $i,X1: $i] :
( ~ ( in @ X0 @ X1 )
| ( in @ ( sk__18 @ X1 ) @ X1 ) ),
inference(cnf,[status(esa)],[t7_tarski]) ).
thf(zip_derived_cl761,plain,
! [X0: $i] :
( ( empty @ X0 )
| ( in @ ( sk__18 @ X0 ) @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl593,zip_derived_cl87]) ).
thf(zip_derived_cl976_032,plain,
! [X0: $i] :
( ~ ( in @ X0 @ sk__15 )
| ( ordinal @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl967,zip_derived_cl76]) ).
thf(zip_derived_cl986,plain,
( ( empty @ sk__15 )
| ( ordinal @ ( sk__18 @ sk__15 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl761,zip_derived_cl976]) ).
thf(zip_derived_cl4441,plain,
ordinal @ ( sk__18 @ sk__15 ),
inference(clc,[status(thm)],[zip_derived_cl4432,zip_derived_cl986]) ).
thf(zip_derived_cl4977,plain,
( ~ ( ordinal @ sk__15 )
| ~ ( ordinal_subset @ ( sk__16 @ ( sk__18 @ sk__15 ) ) @ ( sk__16 @ ( sk__16 @ ( sk__18 @ sk__15 ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4387,zip_derived_cl4441]) ).
thf(zip_derived_cl4978,plain,
( ~ ( empty @ sk__15 )
| ~ ( ordinal_subset @ ( sk__16 @ ( sk__18 @ sk__15 ) ) @ ( sk__16 @ ( sk__16 @ ( sk__18 @ sk__15 ) ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl11,zip_derived_cl4977]) ).
thf(zip_derived_cl761_033,plain,
! [X0: $i] :
( ( empty @ X0 )
| ( in @ ( sk__18 @ X0 ) @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl593,zip_derived_cl87]) ).
thf(zip_derived_cl647_034,plain,
! [X0: $i] :
( ~ ( ordinal_subset @ ( sk__16 @ X0 ) @ ( sk__16 @ ( sk__16 @ X0 ) ) )
| ~ ( in @ X0 @ sk__15 )
| ~ ( ordinal @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl606,zip_derived_cl80]) ).
thf(zip_derived_cl809,plain,
( ( empty @ sk__15 )
| ~ ( ordinal_subset @ ( sk__16 @ ( sk__18 @ sk__15 ) ) @ ( sk__16 @ ( sk__16 @ ( sk__18 @ sk__15 ) ) ) )
| ~ ( ordinal @ ( sk__18 @ sk__15 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl761,zip_derived_cl647]) ).
thf(zip_derived_cl986_035,plain,
( ( empty @ sk__15 )
| ( ordinal @ ( sk__18 @ sk__15 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl761,zip_derived_cl976]) ).
thf(zip_derived_cl1839,plain,
( ~ ( ordinal_subset @ ( sk__16 @ ( sk__18 @ sk__15 ) ) @ ( sk__16 @ ( sk__16 @ ( sk__18 @ sk__15 ) ) ) )
| ( empty @ sk__15 ) ),
inference(clc,[status(thm)],[zip_derived_cl809,zip_derived_cl986]) ).
thf(zip_derived_cl5097,plain,
~ ( ordinal_subset @ ( sk__16 @ ( sk__18 @ sk__15 ) ) @ ( sk__16 @ ( sk__16 @ ( sk__18 @ sk__15 ) ) ) ),
inference(clc,[status(thm)],[zip_derived_cl4978,zip_derived_cl1839]) ).
thf(zip_derived_cl5098,plain,
( ~ ( subset @ ( sk__16 @ ( sk__18 @ sk__15 ) ) @ ( sk__16 @ ( sk__16 @ ( sk__18 @ sk__15 ) ) ) )
| ~ ( ordinal @ ( sk__16 @ ( sk__16 @ ( sk__18 @ sk__15 ) ) ) )
| ~ ( ordinal @ ( sk__16 @ ( sk__18 @ sk__15 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl68,zip_derived_cl5097]) ).
thf(zip_derived_cl761_036,plain,
! [X0: $i] :
( ( empty @ X0 )
| ( in @ ( sk__18 @ X0 ) @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl593,zip_derived_cl87]) ).
thf(zip_derived_cl78_037,plain,
! [X0: $i] :
( ( in @ ( sk__16 @ X0 ) @ sk__15 )
| ~ ( in @ X0 @ sk__15 )
| ~ ( ordinal @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl73_038,plain,
! [X0: $i,X1: $i] :
( ~ ( ordinal @ X0 )
| ( in @ X1 @ X0 )
| ( X1 = X0 )
| ( in @ X0 @ X1 )
| ~ ( ordinal @ X1 ) ),
inference(cnf,[status(esa)],[t24_ordinal1]) ).
thf(zip_derived_cl641_039,plain,
! [X0: $i,X1: $i] :
( ~ ( in @ X1 @ ( sk__18 @ X0 ) )
| ~ ( in @ X1 @ X0 ) ),
inference(condensation,[status(thm)],[zip_derived_cl88]) ).
thf(zip_derived_cl643,plain,
! [X0: $i,X1: $i] :
( ~ ( ordinal @ X1 )
| ( in @ ( sk__18 @ X0 ) @ X1 )
| ( X1
= ( sk__18 @ X0 ) )
| ~ ( ordinal @ ( sk__18 @ X0 ) )
| ~ ( in @ X1 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl73,zip_derived_cl641]) ).
thf(zip_derived_cl761_040,plain,
! [X0: $i] :
( ( empty @ X0 )
| ( in @ ( sk__18 @ X0 ) @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl593,zip_derived_cl87]) ).
thf(zip_derived_cl78_041,plain,
! [X0: $i] :
( ( in @ ( sk__16 @ X0 ) @ sk__15 )
| ~ ( in @ X0 @ sk__15 )
| ~ ( ordinal @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl976_042,plain,
! [X0: $i] :
( ~ ( in @ X0 @ sk__15 )
| ( ordinal @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl967,zip_derived_cl76]) ).
thf(zip_derived_cl984,plain,
! [X0: $i] :
( ~ ( ordinal @ X0 )
| ~ ( in @ X0 @ sk__15 )
| ( ordinal @ ( sk__16 @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl78,zip_derived_cl976]) ).
thf(zip_derived_cl976_043,plain,
! [X0: $i] :
( ~ ( in @ X0 @ sk__15 )
| ( ordinal @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl967,zip_derived_cl76]) ).
thf(zip_derived_cl1015,plain,
! [X0: $i] :
( ( ordinal @ ( sk__16 @ X0 ) )
| ~ ( in @ X0 @ sk__15 ) ),
inference(clc,[status(thm)],[zip_derived_cl984,zip_derived_cl976]) ).
thf(zip_derived_cl2_044,plain,
! [X0: $i] :
( ( epsilon_transitive @ X0 )
| ~ ( ordinal @ X0 ) ),
inference(cnf,[status(esa)],[cc1_ordinal1]) ).
thf(zip_derived_cl13_045,plain,
! [X0: $i,X1: $i] :
( ~ ( in @ X0 @ X1 )
| ( subset @ X0 @ X1 )
| ~ ( epsilon_transitive @ X1 ) ),
inference(cnf,[status(esa)],[d2_ordinal1]) ).
thf(zip_derived_cl761_046,plain,
! [X0: $i] :
( ( empty @ X0 )
| ( in @ ( sk__18 @ X0 ) @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl593,zip_derived_cl87]) ).
thf(zip_derived_cl1015_047,plain,
! [X0: $i] :
( ( ordinal @ ( sk__16 @ X0 ) )
| ~ ( in @ X0 @ sk__15 ) ),
inference(clc,[status(thm)],[zip_derived_cl984,zip_derived_cl976]) ).
thf(zip_derived_cl68_048,plain,
! [X0: $i,X1: $i] :
( ~ ( ordinal @ X0 )
| ~ ( ordinal @ X1 )
| ( ordinal_subset @ X0 @ X1 )
| ~ ( subset @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[redefinition_r1_ordinal1]) ).
thf(zip_derived_cl11_049,plain,
! [X0: $i] :
( ( ordinal @ X0 )
| ~ ( empty @ X0 ) ),
inference(cnf,[status(esa)],[cc3_ordinal1]) ).
thf(zip_derived_cl3836_050,plain,
! [X0: $i] :
( ~ ( ordinal @ X0 )
| ( empty_set = X0 )
| ( in @ ( sk__18 @ X0 ) @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl3806,zip_derived_cl87]) ).
thf(zip_derived_cl79_051,plain,
! [X0: $i] :
( ~ ( ordinal_subset @ X0 @ ( sk__16 @ X0 ) )
| ~ ( in @ X0 @ sk__15 )
| ~ ( ordinal @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl4332,plain,
( ( empty_set = sk__15 )
| ~ ( ordinal @ sk__15 )
| ~ ( ordinal_subset @ ( sk__18 @ sk__15 ) @ ( sk__16 @ ( sk__18 @ sk__15 ) ) )
| ~ ( ordinal @ ( sk__18 @ sk__15 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl3836,zip_derived_cl79]) ).
thf(zip_derived_cl77_052,plain,
sk__15 != empty_set,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl4385,plain,
( ~ ( ordinal @ sk__15 )
| ~ ( ordinal_subset @ ( sk__18 @ sk__15 ) @ ( sk__16 @ ( sk__18 @ sk__15 ) ) )
| ~ ( ordinal @ ( sk__18 @ sk__15 ) ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4332,zip_derived_cl77]) ).
thf(zip_derived_cl4441_053,plain,
ordinal @ ( sk__18 @ sk__15 ),
inference(clc,[status(thm)],[zip_derived_cl4432,zip_derived_cl986]) ).
thf(zip_derived_cl4642,plain,
( ~ ( ordinal @ sk__15 )
| ~ ( ordinal_subset @ ( sk__18 @ sk__15 ) @ ( sk__16 @ ( sk__18 @ sk__15 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4385,zip_derived_cl4441]) ).
thf(zip_derived_cl4643,plain,
( ~ ( empty @ sk__15 )
| ~ ( ordinal_subset @ ( sk__18 @ sk__15 ) @ ( sk__16 @ ( sk__18 @ sk__15 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl11,zip_derived_cl4642]) ).
thf(zip_derived_cl761_054,plain,
! [X0: $i] :
( ( empty @ X0 )
| ( in @ ( sk__18 @ X0 ) @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl593,zip_derived_cl87]) ).
thf(zip_derived_cl79_055,plain,
! [X0: $i] :
( ~ ( ordinal_subset @ X0 @ ( sk__16 @ X0 ) )
| ~ ( in @ X0 @ sk__15 )
| ~ ( ordinal @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl807,plain,
( ( empty @ sk__15 )
| ~ ( ordinal_subset @ ( sk__18 @ sk__15 ) @ ( sk__16 @ ( sk__18 @ sk__15 ) ) )
| ~ ( ordinal @ ( sk__18 @ sk__15 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl761,zip_derived_cl79]) ).
thf(zip_derived_cl986_056,plain,
( ( empty @ sk__15 )
| ( ordinal @ ( sk__18 @ sk__15 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl761,zip_derived_cl976]) ).
thf(zip_derived_cl1826,plain,
( ~ ( ordinal_subset @ ( sk__18 @ sk__15 ) @ ( sk__16 @ ( sk__18 @ sk__15 ) ) )
| ( empty @ sk__15 ) ),
inference(clc,[status(thm)],[zip_derived_cl807,zip_derived_cl986]) ).
thf(zip_derived_cl4766,plain,
~ ( ordinal_subset @ ( sk__18 @ sk__15 ) @ ( sk__16 @ ( sk__18 @ sk__15 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl4643,zip_derived_cl1826]) ).
thf(zip_derived_cl4767,plain,
( ~ ( subset @ ( sk__18 @ sk__15 ) @ ( sk__16 @ ( sk__18 @ sk__15 ) ) )
| ~ ( ordinal @ ( sk__16 @ ( sk__18 @ sk__15 ) ) )
| ~ ( ordinal @ ( sk__18 @ sk__15 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl68,zip_derived_cl4766]) ).
thf(zip_derived_cl4441_057,plain,
ordinal @ ( sk__18 @ sk__15 ),
inference(clc,[status(thm)],[zip_derived_cl4432,zip_derived_cl986]) ).
thf(zip_derived_cl4778,plain,
( ~ ( subset @ ( sk__18 @ sk__15 ) @ ( sk__16 @ ( sk__18 @ sk__15 ) ) )
| ~ ( ordinal @ ( sk__16 @ ( sk__18 @ sk__15 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4767,zip_derived_cl4441]) ).
thf(zip_derived_cl5007,plain,
( ~ ( in @ ( sk__18 @ sk__15 ) @ sk__15 )
| ~ ( subset @ ( sk__18 @ sk__15 ) @ ( sk__16 @ ( sk__18 @ sk__15 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1015,zip_derived_cl4778]) ).
thf(zip_derived_cl5020,plain,
( ( empty @ sk__15 )
| ~ ( subset @ ( sk__18 @ sk__15 ) @ ( sk__16 @ ( sk__18 @ sk__15 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl761,zip_derived_cl5007]) ).
thf(zip_derived_cl11_058,plain,
! [X0: $i] :
( ( ordinal @ X0 )
| ~ ( empty @ X0 ) ),
inference(cnf,[status(esa)],[cc3_ordinal1]) ).
thf(zip_derived_cl3836_059,plain,
! [X0: $i] :
( ~ ( ordinal @ X0 )
| ( empty_set = X0 )
| ( in @ ( sk__18 @ X0 ) @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl3806,zip_derived_cl87]) ).
thf(zip_derived_cl5007_060,plain,
( ~ ( in @ ( sk__18 @ sk__15 ) @ sk__15 )
| ~ ( subset @ ( sk__18 @ sk__15 ) @ ( sk__16 @ ( sk__18 @ sk__15 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1015,zip_derived_cl4778]) ).
thf(zip_derived_cl5021,plain,
( ( empty_set = sk__15 )
| ~ ( ordinal @ sk__15 )
| ~ ( subset @ ( sk__18 @ sk__15 ) @ ( sk__16 @ ( sk__18 @ sk__15 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl3836,zip_derived_cl5007]) ).
thf(zip_derived_cl77_061,plain,
sk__15 != empty_set,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl5028,plain,
( ~ ( ordinal @ sk__15 )
| ~ ( subset @ ( sk__18 @ sk__15 ) @ ( sk__16 @ ( sk__18 @ sk__15 ) ) ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl5021,zip_derived_cl77]) ).
thf(zip_derived_cl5036,plain,
( ~ ( empty @ sk__15 )
| ~ ( subset @ ( sk__18 @ sk__15 ) @ ( sk__16 @ ( sk__18 @ sk__15 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl11,zip_derived_cl5028]) ).
thf(zip_derived_cl5835,plain,
~ ( subset @ ( sk__18 @ sk__15 ) @ ( sk__16 @ ( sk__18 @ sk__15 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl5020,zip_derived_cl5036]) ).
thf(zip_derived_cl5836,plain,
( ~ ( epsilon_transitive @ ( sk__16 @ ( sk__18 @ sk__15 ) ) )
| ~ ( in @ ( sk__18 @ sk__15 ) @ ( sk__16 @ ( sk__18 @ sk__15 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl13,zip_derived_cl5835]) ).
thf(zip_derived_cl6110,plain,
( ~ ( ordinal @ ( sk__16 @ ( sk__18 @ sk__15 ) ) )
| ~ ( in @ ( sk__18 @ sk__15 ) @ ( sk__16 @ ( sk__18 @ sk__15 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl5836]) ).
thf(zip_derived_cl6120,plain,
( ~ ( in @ ( sk__18 @ sk__15 ) @ sk__15 )
| ~ ( in @ ( sk__18 @ sk__15 ) @ ( sk__16 @ ( sk__18 @ sk__15 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1015,zip_derived_cl6110]) ).
thf(zip_derived_cl6169,plain,
( ( empty @ sk__15 )
| ~ ( in @ ( sk__18 @ sk__15 ) @ ( sk__16 @ ( sk__18 @ sk__15 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl761,zip_derived_cl6120]) ).
thf(zip_derived_cl11_062,plain,
! [X0: $i] :
( ( ordinal @ X0 )
| ~ ( empty @ X0 ) ),
inference(cnf,[status(esa)],[cc3_ordinal1]) ).
thf(zip_derived_cl3836_063,plain,
! [X0: $i] :
( ~ ( ordinal @ X0 )
| ( empty_set = X0 )
| ( in @ ( sk__18 @ X0 ) @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl3806,zip_derived_cl87]) ).
thf(zip_derived_cl6120_064,plain,
( ~ ( in @ ( sk__18 @ sk__15 ) @ sk__15 )
| ~ ( in @ ( sk__18 @ sk__15 ) @ ( sk__16 @ ( sk__18 @ sk__15 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1015,zip_derived_cl6110]) ).
thf(zip_derived_cl6170,plain,
( ( empty_set = sk__15 )
| ~ ( ordinal @ sk__15 )
| ~ ( in @ ( sk__18 @ sk__15 ) @ ( sk__16 @ ( sk__18 @ sk__15 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl3836,zip_derived_cl6120]) ).
thf(zip_derived_cl77_065,plain,
sk__15 != empty_set,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl6177,plain,
( ~ ( ordinal @ sk__15 )
| ~ ( in @ ( sk__18 @ sk__15 ) @ ( sk__16 @ ( sk__18 @ sk__15 ) ) ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl6170,zip_derived_cl77]) ).
thf(zip_derived_cl6184,plain,
( ~ ( empty @ sk__15 )
| ~ ( in @ ( sk__18 @ sk__15 ) @ ( sk__16 @ ( sk__18 @ sk__15 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl11,zip_derived_cl6177]) ).
thf(zip_derived_cl6226,plain,
~ ( in @ ( sk__18 @ sk__15 ) @ ( sk__16 @ ( sk__18 @ sk__15 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl6169,zip_derived_cl6184]) ).
thf(zip_derived_cl6228,plain,
( ~ ( in @ ( sk__16 @ ( sk__18 @ sk__15 ) ) @ sk__15 )
| ~ ( ordinal @ ( sk__18 @ sk__15 ) )
| ( ( sk__16 @ ( sk__18 @ sk__15 ) )
= ( sk__18 @ sk__15 ) )
| ~ ( ordinal @ ( sk__16 @ ( sk__18 @ sk__15 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl643,zip_derived_cl6226]) ).
thf(zip_derived_cl4441_066,plain,
ordinal @ ( sk__18 @ sk__15 ),
inference(clc,[status(thm)],[zip_derived_cl4432,zip_derived_cl986]) ).
thf(zip_derived_cl6238,plain,
( ~ ( in @ ( sk__16 @ ( sk__18 @ sk__15 ) ) @ sk__15 )
| ( ( sk__16 @ ( sk__18 @ sk__15 ) )
= ( sk__18 @ sk__15 ) )
| ~ ( ordinal @ ( sk__16 @ ( sk__18 @ sk__15 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6228,zip_derived_cl4441]) ).
thf(zip_derived_cl976_067,plain,
! [X0: $i] :
( ~ ( in @ X0 @ sk__15 )
| ( ordinal @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl967,zip_derived_cl76]) ).
thf(zip_derived_cl78089,plain,
( ( ( sk__16 @ ( sk__18 @ sk__15 ) )
= ( sk__18 @ sk__15 ) )
| ~ ( in @ ( sk__16 @ ( sk__18 @ sk__15 ) ) @ sk__15 ) ),
inference(clc,[status(thm)],[zip_derived_cl6238,zip_derived_cl976]) ).
thf(zip_derived_cl78095,plain,
( ~ ( ordinal @ ( sk__18 @ sk__15 ) )
| ~ ( in @ ( sk__18 @ sk__15 ) @ sk__15 )
| ( ( sk__16 @ ( sk__18 @ sk__15 ) )
= ( sk__18 @ sk__15 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl78,zip_derived_cl78089]) ).
thf(zip_derived_cl4441_068,plain,
ordinal @ ( sk__18 @ sk__15 ),
inference(clc,[status(thm)],[zip_derived_cl4432,zip_derived_cl986]) ).
thf(zip_derived_cl78137,plain,
( ~ ( in @ ( sk__18 @ sk__15 ) @ sk__15 )
| ( ( sk__16 @ ( sk__18 @ sk__15 ) )
= ( sk__18 @ sk__15 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl78095,zip_derived_cl4441]) ).
thf(zip_derived_cl78238,plain,
( ( empty @ sk__15 )
| ( ( sk__16 @ ( sk__18 @ sk__15 ) )
= ( sk__18 @ sk__15 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl761,zip_derived_cl78137]) ).
thf(zip_derived_cl11_069,plain,
! [X0: $i] :
( ( ordinal @ X0 )
| ~ ( empty @ X0 ) ),
inference(cnf,[status(esa)],[cc3_ordinal1]) ).
thf(zip_derived_cl3836_070,plain,
! [X0: $i] :
( ~ ( ordinal @ X0 )
| ( empty_set = X0 )
| ( in @ ( sk__18 @ X0 ) @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl3806,zip_derived_cl87]) ).
thf(zip_derived_cl72_071,plain,
! [X0: $i,X1: $i] :
( ( ordinal @ X0 )
| ~ ( ordinal @ X1 )
| ~ ( in @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[t23_ordinal1]) ).
thf(zip_derived_cl4319,plain,
! [X0: $i] :
( ( empty_set = X0 )
| ~ ( ordinal @ X0 )
| ( ordinal @ ( sk__18 @ X0 ) )
| ~ ( ordinal @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl3836,zip_derived_cl72]) ).
thf(zip_derived_cl4381,plain,
! [X0: $i] :
( ( ordinal @ ( sk__18 @ X0 ) )
| ~ ( ordinal @ X0 )
| ( empty_set = X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl4319]) ).
thf(zip_derived_cl3806_072,plain,
! [X0: $i] :
( ( empty_set = X0 )
| ( in @ empty_set @ X0 )
| ~ ( ordinal @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl3796,zip_derived_cl21]) ).
thf(zip_derived_cl643_073,plain,
! [X0: $i,X1: $i] :
( ~ ( ordinal @ X1 )
| ( in @ ( sk__18 @ X0 ) @ X1 )
| ( X1
= ( sk__18 @ X0 ) )
| ~ ( ordinal @ ( sk__18 @ X0 ) )
| ~ ( in @ X1 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl73,zip_derived_cl641]) ).
thf(zip_derived_cl3795_074,plain,
! [X0: $i] :
~ ( in @ X0 @ empty_set ),
inference(clc,[status(thm)],[zip_derived_cl3794,zip_derived_cl3204]) ).
thf(zip_derived_cl3805,plain,
! [X0: $i] :
( ~ ( in @ empty_set @ X0 )
| ~ ( ordinal @ ( sk__18 @ X0 ) )
| ( empty_set
= ( sk__18 @ X0 ) )
| ~ ( ordinal @ empty_set ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl643,zip_derived_cl3795]) ).
thf(zip_derived_cl21_075,plain,
ordinal @ empty_set,
inference(cnf,[status(esa)],[fc2_ordinal1]) ).
thf(zip_derived_cl3811,plain,
! [X0: $i] :
( ~ ( in @ empty_set @ X0 )
| ~ ( ordinal @ ( sk__18 @ X0 ) )
| ( empty_set
= ( sk__18 @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3805,zip_derived_cl21]) ).
thf(zip_derived_cl4104,plain,
! [X0: $i] :
( ~ ( ordinal @ X0 )
| ( empty_set = X0 )
| ~ ( ordinal @ ( sk__18 @ X0 ) )
| ( empty_set
= ( sk__18 @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl3806,zip_derived_cl3811]) ).
thf(zip_derived_cl4509,plain,
! [X0: $i] :
( ( empty_set = X0 )
| ~ ( ordinal @ X0 )
| ~ ( ordinal @ X0 )
| ( empty_set = X0 )
| ( empty_set
= ( sk__18 @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl4381,zip_derived_cl4104]) ).
thf(zip_derived_cl4517,plain,
! [X0: $i] :
( ( empty_set
= ( sk__18 @ X0 ) )
| ~ ( ordinal @ X0 )
| ( empty_set = X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl4509]) ).
thf(zip_derived_cl761_076,plain,
! [X0: $i] :
( ( empty @ X0 )
| ( in @ ( sk__18 @ X0 ) @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl593,zip_derived_cl87]) ).
thf(zip_derived_cl1015_077,plain,
! [X0: $i] :
( ( ordinal @ ( sk__16 @ X0 ) )
| ~ ( in @ X0 @ sk__15 ) ),
inference(clc,[status(thm)],[zip_derived_cl984,zip_derived_cl976]) ).
thf(zip_derived_cl73_078,plain,
! [X0: $i,X1: $i] :
( ~ ( ordinal @ X0 )
| ( in @ X1 @ X0 )
| ( X1 = X0 )
| ( in @ X0 @ X1 )
| ~ ( ordinal @ X1 ) ),
inference(cnf,[status(esa)],[t24_ordinal1]) ).
thf(zip_derived_cl86_079,plain,
! [X0: $i,X1: $i] :
( ~ ( in @ X0 @ X1 )
| ~ ( empty @ X1 ) ),
inference(cnf,[status(esa)],[t7_boole]) ).
thf(zip_derived_cl540,plain,
! [X0: $i,X1: $i] :
( ~ ( ordinal @ X1 )
| ( in @ X0 @ X1 )
| ( X1 = X0 )
| ~ ( ordinal @ X0 )
| ~ ( empty @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl73,zip_derived_cl86]) ).
thf(zip_derived_cl11_080,plain,
! [X0: $i] :
( ( ordinal @ X0 )
| ~ ( empty @ X0 ) ),
inference(cnf,[status(esa)],[cc3_ordinal1]) ).
thf(zip_derived_cl670,plain,
! [X0: $i,X1: $i] :
( ~ ( empty @ X0 )
| ( X1 = X0 )
| ( in @ X0 @ X1 )
| ~ ( ordinal @ X1 ) ),
inference(clc,[status(thm)],[zip_derived_cl540,zip_derived_cl11]) ).
thf(zip_derived_cl761_081,plain,
! [X0: $i] :
( ( empty @ X0 )
| ( in @ ( sk__18 @ X0 ) @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl593,zip_derived_cl87]) ).
thf(zip_derived_cl72_082,plain,
! [X0: $i,X1: $i] :
( ( ordinal @ X0 )
| ~ ( ordinal @ X1 )
| ~ ( in @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[t23_ordinal1]) ).
thf(zip_derived_cl801,plain,
! [X0: $i] :
( ( empty @ X0 )
| ( ordinal @ ( sk__18 @ X0 ) )
| ~ ( ordinal @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl761,zip_derived_cl72]) ).
thf(zip_derived_cl670_083,plain,
! [X0: $i,X1: $i] :
( ~ ( empty @ X0 )
| ( X1 = X0 )
| ( in @ X0 @ X1 )
| ~ ( ordinal @ X1 ) ),
inference(clc,[status(thm)],[zip_derived_cl540,zip_derived_cl11]) ).
thf(zip_derived_cl641_084,plain,
! [X0: $i,X1: $i] :
( ~ ( in @ X1 @ ( sk__18 @ X0 ) )
| ~ ( in @ X1 @ X0 ) ),
inference(condensation,[status(thm)],[zip_derived_cl88]) ).
thf(zip_derived_cl684,plain,
! [X0: $i,X1: $i] :
( ~ ( ordinal @ ( sk__18 @ X0 ) )
| ( ( sk__18 @ X0 )
= X1 )
| ~ ( empty @ X1 )
| ~ ( in @ X1 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl670,zip_derived_cl641]) ).
thf(zip_derived_cl850,plain,
! [X0: $i,X1: $i] :
( ~ ( ordinal @ X0 )
| ( empty @ X0 )
| ( ( sk__18 @ X0 )
= X1 )
| ~ ( empty @ X1 )
| ~ ( in @ X1 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl801,zip_derived_cl684]) ).
thf(zip_derived_cl86_085,plain,
! [X0: $i,X1: $i] :
( ~ ( in @ X0 @ X1 )
| ~ ( empty @ X1 ) ),
inference(cnf,[status(esa)],[t7_boole]) ).
thf(zip_derived_cl7854,plain,
! [X0: $i,X1: $i] :
( ~ ( in @ X1 @ X0 )
| ~ ( empty @ X1 )
| ( ( sk__18 @ X0 )
= X1 )
| ~ ( ordinal @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl850,zip_derived_cl86]) ).
thf(zip_derived_cl7857,plain,
! [X0: $i,X1: $i] :
( ~ ( ordinal @ X0 )
| ( X0 = X1 )
| ~ ( empty @ X1 )
| ~ ( empty @ X1 )
| ( ( sk__18 @ X0 )
= X1 )
| ~ ( ordinal @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl670,zip_derived_cl7854]) ).
thf(zip_derived_cl7880,plain,
! [X0: $i,X1: $i] :
( ( ( sk__18 @ X0 )
= X1 )
| ~ ( empty @ X1 )
| ( X0 = X1 )
| ~ ( ordinal @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl7857]) ).
thf(t8_boole,axiom,
! [A: $i,B: $i] :
~ ( ( empty @ A )
& ( A != B )
& ( empty @ B ) ) ).
thf(zip_derived_cl89,plain,
! [X0: $i,X1: $i] :
( ~ ( empty @ X0 )
| ~ ( empty @ X1 )
| ( X0 = X1 ) ),
inference(cnf,[status(esa)],[t8_boole]) ).
thf(zip_derived_cl1973_086,plain,
in @ ( sk__18 @ sk__17 ) @ sk__17,
inference(clc,[status(thm)],[zip_derived_cl1972,zip_derived_cl1059]) ).
thf(zip_derived_cl1981,plain,
! [X0: $i] :
( ~ ( empty @ X0 )
| ~ ( empty @ ( sk__18 @ sk__17 ) )
| ( in @ X0 @ sk__17 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl89,zip_derived_cl1973]) ).
thf(zip_derived_cl3154_087,plain,
empty @ ( sk__18 @ sk__17 ),
inference(clc,[status(thm)],[zip_derived_cl2976,zip_derived_cl771]) ).
thf(zip_derived_cl3155,plain,
! [X0: $i] :
( ~ ( empty @ X0 )
| ( in @ X0 @ sk__17 ) ),
inference(demod,[status(thm)],[zip_derived_cl1981,zip_derived_cl3154]) ).
thf(zip_derived_cl1973_088,plain,
in @ ( sk__18 @ sk__17 ) @ sk__17,
inference(clc,[status(thm)],[zip_derived_cl1972,zip_derived_cl1059]) ).
thf(zip_derived_cl72_089,plain,
! [X0: $i,X1: $i] :
( ( ordinal @ X0 )
| ~ ( ordinal @ X1 )
| ~ ( in @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[t23_ordinal1]) ).
thf(zip_derived_cl1975,plain,
( ( ordinal @ ( sk__18 @ sk__17 ) )
| ~ ( ordinal @ sk__17 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1973,zip_derived_cl72]) ).
thf(zip_derived_cl76_090,plain,
ordinal @ sk__17,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1983,plain,
ordinal @ ( sk__18 @ sk__17 ),
inference(demod,[status(thm)],[zip_derived_cl1975,zip_derived_cl76]) ).
thf(zip_derived_cl684_091,plain,
! [X0: $i,X1: $i] :
( ~ ( ordinal @ ( sk__18 @ X0 ) )
| ( ( sk__18 @ X0 )
= X1 )
| ~ ( empty @ X1 )
| ~ ( in @ X1 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl670,zip_derived_cl641]) ).
thf(zip_derived_cl1990,plain,
! [X0: $i] :
( ( ( sk__18 @ sk__17 )
= X0 )
| ~ ( empty @ X0 )
| ~ ( in @ X0 @ sk__17 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1983,zip_derived_cl684]) ).
thf(zip_derived_cl3477,plain,
! [X0: $i] :
( ~ ( empty @ X0 )
| ( ( sk__18 @ sk__17 )
= X0 )
| ~ ( empty @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl3155,zip_derived_cl1990]) ).
thf(zip_derived_cl3486,plain,
! [X0: $i] :
( ( ( sk__18 @ sk__17 )
= X0 )
| ~ ( empty @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl3477]) ).
thf(zip_derived_cl9394,plain,
! [X0: $i,X1: $i] :
( ~ ( ordinal @ X0 )
| ~ ( empty @ ( sk__18 @ sk__17 ) )
| ( ( sk__18 @ X0 )
= ( sk__18 @ sk__17 ) )
| ( X0 = X1 )
| ~ ( empty @ X1 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl7880,zip_derived_cl3486]) ).
thf(zip_derived_cl3156_092,plain,
( ( sk__18 @ sk__17 )
= empty_set ),
inference('s_sup-',[status(thm)],[zip_derived_cl3154,zip_derived_cl85]) ).
thf(fc12_relat_1,axiom,
( ( relation_empty_yielding @ empty_set )
& ( relation @ empty_set )
& ( empty @ empty_set ) ) ).
thf(zip_derived_cl19,plain,
empty @ empty_set,
inference(cnf,[status(esa)],[fc12_relat_1]) ).
thf(zip_derived_cl3156_093,plain,
( ( sk__18 @ sk__17 )
= empty_set ),
inference('s_sup-',[status(thm)],[zip_derived_cl3154,zip_derived_cl85]) ).
thf(zip_derived_cl10185,plain,
! [X0: $i,X1: $i] :
( ~ ( ordinal @ X0 )
| ( ( sk__18 @ X0 )
= empty_set )
| ( X0 = X1 )
| ~ ( empty @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl9394,zip_derived_cl3156,zip_derived_cl19,zip_derived_cl3156]) ).
thf(zip_derived_cl3836_094,plain,
! [X0: $i] :
( ~ ( ordinal @ X0 )
| ( empty_set = X0 )
| ( in @ ( sk__18 @ X0 ) @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl3806,zip_derived_cl87]) ).
thf(zip_derived_cl17805,plain,
! [X0: $i,X1: $i] :
( ~ ( empty @ X1 )
| ( X0 = X1 )
| ~ ( ordinal @ X0 )
| ~ ( ordinal @ X0 )
| ( empty_set = X0 )
| ( in @ empty_set @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl10185,zip_derived_cl3836]) ).
thf(zip_derived_cl20107,plain,
! [X0: $i,X1: $i] :
( ( in @ empty_set @ X0 )
| ( empty_set = X0 )
| ~ ( ordinal @ X0 )
| ( X0 = X1 )
| ~ ( empty @ X1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl17805]) ).
thf(zip_derived_cl1474_095,plain,
! [X0: $i] :
( ~ ( empty @ X0 )
| ( ( sk__1 @ ( powerset @ X0 ) )
= empty_set ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl764,zip_derived_cl85]) ).
thf(zip_derived_cl7880_096,plain,
! [X0: $i,X1: $i] :
( ( ( sk__18 @ X0 )
= X1 )
| ~ ( empty @ X1 )
| ( X0 = X1 )
| ~ ( ordinal @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl7857]) ).
thf(zip_derived_cl764_097,plain,
! [X0: $i] :
( ( empty @ ( sk__1 @ ( powerset @ X0 ) ) )
| ~ ( empty @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl593,zip_derived_cl534]) ).
thf(zip_derived_cl89_098,plain,
! [X0: $i,X1: $i] :
( ~ ( empty @ X0 )
| ~ ( empty @ X1 )
| ( X0 = X1 ) ),
inference(cnf,[status(esa)],[t8_boole]) ).
thf(zip_derived_cl1475,plain,
! [X0: $i,X1: $i] :
( ~ ( empty @ X0 )
| ~ ( empty @ X1 )
| ( ( sk__1 @ ( powerset @ X0 ) )
= X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl764,zip_derived_cl89]) ).
thf(zip_derived_cl7880_099,plain,
! [X0: $i,X1: $i] :
( ( ( sk__18 @ X0 )
= X1 )
| ~ ( empty @ X1 )
| ( X0 = X1 )
| ~ ( ordinal @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl7857]) ).
thf(zip_derived_cl10120,plain,
! [X0: $i,X1: $i] :
( ( ( sk__18 @ X0 )
!= X0 )
| ~ ( ordinal @ X0 )
| ( X0 = X1 )
| ~ ( empty @ X1 ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl7880]) ).
thf(zip_derived_cl10435,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( empty @ ( sk__18 @ X1 ) )
| ~ ( empty @ X0 )
| ( ( sk__1 @ ( powerset @ X0 ) )
!= X1 )
| ~ ( ordinal @ X1 )
| ( X1 = X2 )
| ~ ( empty @ X2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1475,zip_derived_cl10120]) ).
thf(zip_derived_cl16600,plain,
! [X0: $i,X1: $i] :
( ~ ( empty @ ( sk__18 @ X0 ) )
| ( X0
= ( sk__18 @ X0 ) )
| ~ ( ordinal @ X0 )
| ( ( sk__1 @ ( powerset @ X1 ) )
!= X0 )
| ~ ( empty @ X1 ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl10435]) ).
thf(zip_derived_cl16671,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ordinal @ X1 )
| ( X1 = X0 )
| ~ ( empty @ X0 )
| ~ ( empty @ X0 )
| ( X1 = X0 )
| ~ ( ordinal @ X1 )
| ( ( sk__1 @ ( powerset @ X2 ) )
!= X1 )
| ~ ( empty @ X2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl7880,zip_derived_cl16600]) ).
thf(zip_derived_cl16685,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( empty @ X2 )
| ( ( sk__1 @ ( powerset @ X2 ) )
!= X1 )
| ~ ( empty @ X0 )
| ( X1 = X0 )
| ~ ( ordinal @ X1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl16671]) ).
thf(zip_derived_cl16810,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( empty @ X1 )
| ~ ( empty @ X1 )
| ( empty_set != X0 )
| ~ ( empty @ X2 )
| ( X0 = X2 )
| ~ ( ordinal @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1474,zip_derived_cl16685]) ).
thf(zip_derived_cl16822,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ordinal @ X0 )
| ( X0 = X2 )
| ~ ( empty @ X2 )
| ( empty_set != X0 )
| ~ ( empty @ X1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl16810]) ).
thf(zip_derived_cl16867,plain,
! [X0: $i,X1: $i] :
( ~ ( ordinal @ X0 )
| ( X0 = X1 )
| ~ ( empty @ X1 )
| ( empty_set != X0 ) ),
inference(condensation,[status(thm)],[zip_derived_cl16822]) ).
thf(zip_derived_cl29882,plain,
! [X0: $i,X1: $i] :
( ~ ( empty @ X1 )
| ( X0 = X1 )
| ~ ( ordinal @ X0 )
| ( in @ empty_set @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl20107,zip_derived_cl16867]) ).
thf(zip_derived_cl593_100,plain,
! [X0: $i] :
( ( in @ ( sk__1 @ X0 ) @ X0 )
| ( empty @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl16,zip_derived_cl74]) ).
thf(connectedness_r1_ordinal1,axiom,
! [A: $i,B: $i] :
( ( ( ordinal @ A )
& ( ordinal @ B ) )
=> ( ( ordinal_subset @ A @ B )
| ( ordinal_subset @ B @ A ) ) ) ).
thf(zip_derived_cl12,plain,
! [X0: $i,X1: $i] :
( ~ ( ordinal @ X0 )
| ~ ( ordinal @ X1 )
| ( ordinal_subset @ X0 @ X1 )
| ( ordinal_subset @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[connectedness_r1_ordinal1]) ).
thf(zip_derived_cl67,plain,
! [X0: $i,X1: $i] :
( ~ ( ordinal @ X0 )
| ~ ( ordinal @ X1 )
| ( subset @ X0 @ X1 )
| ~ ( ordinal_subset @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[redefinition_r1_ordinal1]) ).
thf(zip_derived_cl513,plain,
! [X0: $i,X1: $i] :
( ( ordinal_subset @ X0 @ X1 )
| ~ ( ordinal @ X0 )
| ~ ( ordinal @ X1 )
| ~ ( ordinal @ X1 )
| ~ ( ordinal @ X0 )
| ( subset @ X1 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl12,zip_derived_cl67]) ).
thf(zip_derived_cl516,plain,
! [X0: $i,X1: $i] :
( ( subset @ X1 @ X0 )
| ~ ( ordinal @ X1 )
| ~ ( ordinal @ X0 )
| ( ordinal_subset @ X0 @ X1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl513]) ).
thf(zip_derived_cl67_101,plain,
! [X0: $i,X1: $i] :
( ~ ( ordinal @ X0 )
| ~ ( ordinal @ X1 )
| ( subset @ X0 @ X1 )
| ~ ( ordinal_subset @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[redefinition_r1_ordinal1]) ).
thf(zip_derived_cl525,plain,
! [X0: $i,X1: $i] :
( ~ ( ordinal @ X1 )
| ~ ( ordinal @ X0 )
| ( subset @ X0 @ X1 )
| ~ ( ordinal @ X1 )
| ~ ( ordinal @ X0 )
| ( subset @ X1 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl516,zip_derived_cl67]) ).
thf(zip_derived_cl526,plain,
! [X0: $i,X1: $i] :
( ( subset @ X1 @ X0 )
| ( subset @ X0 @ X1 )
| ~ ( ordinal @ X0 )
| ~ ( ordinal @ X1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl525]) ).
thf(zip_derived_cl612_102,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( subset @ X1 @ X0 )
| ~ ( in @ X2 @ X1 )
| ~ ( empty @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl82,zip_derived_cl84]) ).
thf(zip_derived_cl834,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ordinal @ X1 )
| ~ ( ordinal @ X0 )
| ( subset @ X0 @ X1 )
| ~ ( in @ X2 @ X1 )
| ~ ( empty @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl526,zip_derived_cl612]) ).
thf(zip_derived_cl11_103,plain,
! [X0: $i] :
( ( ordinal @ X0 )
| ~ ( empty @ X0 ) ),
inference(cnf,[status(esa)],[cc3_ordinal1]) ).
thf(zip_derived_cl864,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( empty @ X0 )
| ~ ( in @ X2 @ X1 )
| ( subset @ X0 @ X1 )
| ~ ( ordinal @ X1 ) ),
inference(clc,[status(thm)],[zip_derived_cl834,zip_derived_cl11]) ).
thf(zip_derived_cl869,plain,
! [X0: $i,X1: $i] :
( ( empty @ X0 )
| ~ ( empty @ X1 )
| ( subset @ X1 @ X0 )
| ~ ( ordinal @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl593,zip_derived_cl864]) ).
thf(zip_derived_cl764_104,plain,
! [X0: $i] :
( ( empty @ ( sk__1 @ ( powerset @ X0 ) ) )
| ~ ( empty @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl593,zip_derived_cl534]) ).
thf(zip_derived_cl89_105,plain,
! [X0: $i,X1: $i] :
( ~ ( empty @ X0 )
| ~ ( empty @ X1 )
| ( X0 = X1 ) ),
inference(cnf,[status(esa)],[t8_boole]) ).
thf(zip_derived_cl16_106,plain,
! [X0: $i] : ( element @ ( sk__1 @ X0 ) @ X0 ),
inference(cnf,[status(esa)],[existence_m1_subset_1]) ).
thf(zip_derived_cl81,plain,
! [X0: $i,X1: $i] :
( ( subset @ X0 @ X1 )
| ~ ( element @ X0 @ ( powerset @ X1 ) ) ),
inference(cnf,[status(esa)],[t3_subset]) ).
thf(zip_derived_cl595,plain,
! [X0: $i] : ( subset @ ( sk__1 @ ( powerset @ X0 ) ) @ X0 ),
inference('s_sup-',[status(thm)],[zip_derived_cl16,zip_derived_cl81]) ).
thf(zip_derived_cl638,plain,
! [X0: $i,X1: $i] :
( ~ ( empty @ ( sk__1 @ ( powerset @ X1 ) ) )
| ~ ( empty @ X0 )
| ( subset @ X0 @ X1 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl89,zip_derived_cl595]) ).
thf(zip_derived_cl2148,plain,
! [X0: $i,X1: $i] :
( ~ ( empty @ X0 )
| ~ ( empty @ X1 )
| ( subset @ X1 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl764,zip_derived_cl638]) ).
thf(zip_derived_cl5032,plain,
! [X0: $i,X1: $i] :
( ~ ( ordinal @ X0 )
| ( subset @ X1 @ X0 )
| ~ ( empty @ X1 ) ),
inference(clc,[status(thm)],[zip_derived_cl869,zip_derived_cl2148]) ).
thf(zip_derived_cl5835_107,plain,
~ ( subset @ ( sk__18 @ sk__15 ) @ ( sk__16 @ ( sk__18 @ sk__15 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl5020,zip_derived_cl5036]) ).
thf(zip_derived_cl5838,plain,
( ~ ( empty @ ( sk__18 @ sk__15 ) )
| ~ ( ordinal @ ( sk__16 @ ( sk__18 @ sk__15 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl5032,zip_derived_cl5835]) ).
thf(zip_derived_cl32859,plain,
! [X0: $i] :
( ( in @ empty_set @ ( sk__18 @ sk__15 ) )
| ~ ( ordinal @ ( sk__18 @ sk__15 ) )
| ~ ( empty @ X0 )
| ~ ( empty @ X0 )
| ~ ( ordinal @ ( sk__16 @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl29882,zip_derived_cl5838]) ).
thf(zip_derived_cl4441_108,plain,
ordinal @ ( sk__18 @ sk__15 ),
inference(clc,[status(thm)],[zip_derived_cl4432,zip_derived_cl986]) ).
thf(zip_derived_cl33430,plain,
! [X0: $i] :
( ( in @ empty_set @ ( sk__18 @ sk__15 ) )
| ~ ( empty @ X0 )
| ~ ( empty @ X0 )
| ~ ( ordinal @ ( sk__16 @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl32859,zip_derived_cl4441]) ).
thf(zip_derived_cl33431,plain,
! [X0: $i] :
( ~ ( ordinal @ ( sk__16 @ X0 ) )
| ~ ( empty @ X0 )
| ( in @ empty_set @ ( sk__18 @ sk__15 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl33430]) ).
thf(zip_derived_cl33891,plain,
! [X0: $i] :
( ~ ( in @ X0 @ sk__15 )
| ~ ( empty @ X0 )
| ( in @ empty_set @ ( sk__18 @ sk__15 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1015,zip_derived_cl33431]) ).
thf(zip_derived_cl33924,plain,
( ( empty @ sk__15 )
| ~ ( empty @ ( sk__18 @ sk__15 ) )
| ( in @ empty_set @ ( sk__18 @ sk__15 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl761,zip_derived_cl33891]) ).
thf(zip_derived_cl11_109,plain,
! [X0: $i] :
( ( ordinal @ X0 )
| ~ ( empty @ X0 ) ),
inference(cnf,[status(esa)],[cc3_ordinal1]) ).
thf(zip_derived_cl3806_110,plain,
! [X0: $i] :
( ( empty_set = X0 )
| ( in @ empty_set @ X0 )
| ~ ( ordinal @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl3796,zip_derived_cl21]) ).
thf(zip_derived_cl33891_111,plain,
! [X0: $i] :
( ~ ( in @ X0 @ sk__15 )
| ~ ( empty @ X0 )
| ( in @ empty_set @ ( sk__18 @ sk__15 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1015,zip_derived_cl33431]) ).
thf(zip_derived_cl33914,plain,
( ~ ( ordinal @ sk__15 )
| ( empty_set = sk__15 )
| ~ ( empty @ empty_set )
| ( in @ empty_set @ ( sk__18 @ sk__15 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl3806,zip_derived_cl33891]) ).
thf(zip_derived_cl19_112,plain,
empty @ empty_set,
inference(cnf,[status(esa)],[fc12_relat_1]) ).
thf(zip_derived_cl33932,plain,
( ~ ( ordinal @ sk__15 )
| ( empty_set = sk__15 )
| ( in @ empty_set @ ( sk__18 @ sk__15 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl33914,zip_derived_cl19]) ).
thf(zip_derived_cl77_113,plain,
sk__15 != empty_set,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl33933,plain,
( ~ ( ordinal @ sk__15 )
| ( in @ empty_set @ ( sk__18 @ sk__15 ) ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl33932,zip_derived_cl77]) ).
thf(zip_derived_cl33941,plain,
( ~ ( empty @ sk__15 )
| ( in @ empty_set @ ( sk__18 @ sk__15 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl11,zip_derived_cl33933]) ).
thf(zip_derived_cl34297,plain,
( ( in @ empty_set @ ( sk__18 @ sk__15 ) )
| ~ ( empty @ ( sk__18 @ sk__15 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl33924,zip_derived_cl33941]) ).
thf(zip_derived_cl86_114,plain,
! [X0: $i,X1: $i] :
( ~ ( in @ X0 @ X1 )
| ~ ( empty @ X1 ) ),
inference(cnf,[status(esa)],[t7_boole]) ).
thf(zip_derived_cl34298,plain,
~ ( empty @ ( sk__18 @ sk__15 ) ),
inference(clc,[status(thm)],[zip_derived_cl34297,zip_derived_cl86]) ).
thf(zip_derived_cl34309,plain,
( ( empty_set = sk__15 )
| ~ ( ordinal @ sk__15 )
| ~ ( empty @ empty_set ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl4517,zip_derived_cl34298]) ).
thf(zip_derived_cl19_115,plain,
empty @ empty_set,
inference(cnf,[status(esa)],[fc12_relat_1]) ).
thf(zip_derived_cl34322,plain,
( ( empty_set = sk__15 )
| ~ ( ordinal @ sk__15 ) ),
inference(demod,[status(thm)],[zip_derived_cl34309,zip_derived_cl19]) ).
thf(zip_derived_cl77_116,plain,
sk__15 != empty_set,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl34323,plain,
~ ( ordinal @ sk__15 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl34322,zip_derived_cl77]) ).
thf(zip_derived_cl34330,plain,
~ ( empty @ sk__15 ),
inference('s_sup-',[status(thm)],[zip_derived_cl11,zip_derived_cl34323]) ).
thf(zip_derived_cl78272,plain,
( ( sk__16 @ ( sk__18 @ sk__15 ) )
= ( sk__18 @ sk__15 ) ),
inference(demod,[status(thm)],[zip_derived_cl78238,zip_derived_cl34330]) ).
thf(zip_derived_cl78272_117,plain,
( ( sk__16 @ ( sk__18 @ sk__15 ) )
= ( sk__18 @ sk__15 ) ),
inference(demod,[status(thm)],[zip_derived_cl78238,zip_derived_cl34330]) ).
thf(zip_derived_cl78272_118,plain,
( ( sk__16 @ ( sk__18 @ sk__15 ) )
= ( sk__18 @ sk__15 ) ),
inference(demod,[status(thm)],[zip_derived_cl78238,zip_derived_cl34330]) ).
thf(reflexivity_r1_tarski,axiom,
! [A: $i,B: $i] : ( subset @ A @ A ) ).
thf(zip_derived_cl70,plain,
! [X0: $i] : ( subset @ X0 @ X0 ),
inference(cnf,[status(esa)],[reflexivity_r1_tarski]) ).
thf(zip_derived_cl78272_119,plain,
( ( sk__16 @ ( sk__18 @ sk__15 ) )
= ( sk__18 @ sk__15 ) ),
inference(demod,[status(thm)],[zip_derived_cl78238,zip_derived_cl34330]) ).
thf(zip_derived_cl78272_120,plain,
( ( sk__16 @ ( sk__18 @ sk__15 ) )
= ( sk__18 @ sk__15 ) ),
inference(demod,[status(thm)],[zip_derived_cl78238,zip_derived_cl34330]) ).
thf(zip_derived_cl4441_121,plain,
ordinal @ ( sk__18 @ sk__15 ),
inference(clc,[status(thm)],[zip_derived_cl4432,zip_derived_cl986]) ).
thf(zip_derived_cl78272_122,plain,
( ( sk__16 @ ( sk__18 @ sk__15 ) )
= ( sk__18 @ sk__15 ) ),
inference(demod,[status(thm)],[zip_derived_cl78238,zip_derived_cl34330]) ).
thf(zip_derived_cl4441_123,plain,
ordinal @ ( sk__18 @ sk__15 ),
inference(clc,[status(thm)],[zip_derived_cl4432,zip_derived_cl986]) ).
thf(zip_derived_cl78326,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl5098,zip_derived_cl78272,zip_derived_cl78272,zip_derived_cl78272,zip_derived_cl70,zip_derived_cl78272,zip_derived_cl78272,zip_derived_cl4441,zip_derived_cl78272,zip_derived_cl4441]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU235+3 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.2dkj0dORR2 true
% 0.15/0.35 % Computer : n012.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Wed Aug 23 13:13:42 EDT 2023
% 0.15/0.35 % CPUTime :
% 0.15/0.35 % Running portfolio for 300 s
% 0.15/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.35 % Number of cores: 8
% 0.15/0.36 % Python version: Python 3.6.8
% 0.15/0.36 % Running in FO mode
% 0.22/0.65 % Total configuration time : 435
% 0.22/0.65 % Estimated wc time : 1092
% 0.22/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.22/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.22/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.22/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 88.51/13.24 % Solved by fo/fo6_bce.sh.
% 88.51/13.24 % BCE start: 90
% 88.51/13.24 % BCE eliminated: 9
% 88.51/13.24 % PE start: 81
% 88.51/13.24 logic: eq
% 88.51/13.24 % PE eliminated: 2
% 88.51/13.24 % done 5881 iterations in 12.481s
% 88.51/13.24 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 88.51/13.24 % SZS output start Refutation
% See solution above
% 88.51/13.24
% 88.51/13.24
% 88.51/13.24 % Terminating...
% 88.51/13.30 % Runner terminated.
% 88.51/13.31 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------