TSTP Solution File: SEU235+1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU235+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.wDgYRVowtB true
% Computer : n018.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 93.37s 14.11s
% Output : Refutation 93.37s
% 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(ordinal_subset_type,type,
ordinal_subset: $i > $i > $o ).
thf(powerset_type,type,
powerset: $i > $i ).
thf(subset_type,type,
subset: $i > $i > $o ).
thf(function_type,type,
function: $i > $o ).
thf(sk__14_type,type,
sk__14: $i ).
thf(sk__1_type,type,
sk__1: $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(sk__15_type,type,
sk__15: $i > $i ).
thf(empty_set_type,type,
empty_set: $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 ).
thf(sk__17_type,type,
sk__17: $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_cl19,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_cl589,plain,
! [X0: $i] :
( ( in @ ( sk__1 @ X0 ) @ X0 )
| ( empty @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl19,zip_derived_cl74]) ).
thf(zip_derived_cl19_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_cl530,plain,
! [X0: $i,X1: $i] :
( ~ ( in @ X1 @ ( sk__1 @ ( powerset @ X0 ) ) )
| ~ ( empty @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl19,zip_derived_cl84]) ).
thf(zip_derived_cl760,plain,
! [X0: $i] :
( ( empty @ ( sk__1 @ ( powerset @ X0 ) ) )
| ~ ( empty @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl589,zip_derived_cl530]) ).
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_cl1470,plain,
! [X0: $i] :
( ~ ( empty @ X0 )
| ( ( sk__1 @ ( powerset @ X0 ) )
= empty_set ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl760,zip_derived_cl85]) ).
thf(zip_derived_cl530_004,plain,
! [X0: $i,X1: $i] :
( ~ ( in @ X1 @ ( sk__1 @ ( powerset @ X0 ) ) )
| ~ ( empty @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl19,zip_derived_cl84]) ).
thf(zip_derived_cl1492,plain,
! [X0: $i,X1: $i] :
( ~ ( empty @ X0 )
| ~ ( in @ X1 @ empty_set )
| ~ ( empty @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1470,zip_derived_cl530]) ).
thf(zip_derived_cl1500,plain,
! [X0: $i,X1: $i] :
( ~ ( in @ X1 @ empty_set )
| ~ ( empty @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl1492]) ).
thf(zip_derived_cl1503,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_cl1500]) ).
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_cl24,plain,
ordinal @ empty_set,
inference(cnf,[status(esa)],[fc2_ordinal1]) ).
thf(zip_derived_cl1510,plain,
! [X0: $i,X1: $i] :
( ( empty_set = X0 )
| ( in @ empty_set @ X0 )
| ~ ( ordinal @ X0 )
| ~ ( empty @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl1503,zip_derived_cl24]) ).
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__14 @ sk__16,
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_cl617,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_cl699,plain,
! [X0: $i] :
( ~ ( in @ X0 @ sk__14 )
| ( element @ X0 @ sk__16 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl75,zip_derived_cl617]) ).
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_cl717,plain,
! [X0: $i] :
( ~ ( in @ X0 @ sk__14 )
| ( in @ X0 @ sk__16 )
| ( empty @ sk__16 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl699,zip_derived_cl74]) ).
thf(zip_derived_cl75_006,plain,
subset @ sk__14 @ sk__16,
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_cl608,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_cl615,plain,
! [X0: $i] :
( ~ ( in @ X0 @ sk__14 )
| ~ ( empty @ sk__16 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl75,zip_derived_cl608]) ).
thf(zip_derived_cl961,plain,
! [X0: $i] :
( ( in @ X0 @ sk__16 )
| ~ ( in @ X0 @ sk__14 ) ),
inference(clc,[status(thm)],[zip_derived_cl717,zip_derived_cl615]) ).
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__17 @ X1 ) @ X1 ) ),
inference(cnf,[status(esa)],[t7_tarski]) ).
thf(zip_derived_cl965,plain,
! [X0: $i] :
( ~ ( in @ X0 @ sk__14 )
| ( in @ ( sk__17 @ sk__16 ) @ sk__16 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl961,zip_derived_cl87]) ).
thf(zip_derived_cl1625,plain,
! [X0: $i] :
( ~ ( empty @ X0 )
| ~ ( ordinal @ sk__14 )
| ( empty_set = sk__14 )
| ( in @ ( sk__17 @ sk__16 ) @ sk__16 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1510,zip_derived_cl965]) ).
thf(zip_derived_cl77,plain,
sk__14 != empty_set,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1673,plain,
! [X0: $i] :
( ~ ( empty @ X0 )
| ~ ( ordinal @ sk__14 )
| ( in @ ( sk__17 @ sk__16 ) @ sk__16 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1625,zip_derived_cl77]) ).
thf(zip_derived_cl1791,plain,
! [X0: $i] :
( ~ ( empty @ sk__14 )
| ~ ( empty @ X0 )
| ( in @ ( sk__17 @ sk__16 ) @ sk__16 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl11,zip_derived_cl1673]) ).
thf(zip_derived_cl1968,plain,
( ~ ( empty @ sk__14 )
| ( in @ ( sk__17 @ sk__16 ) @ sk__16 ) ),
inference(condensation,[status(thm)],[zip_derived_cl1791]) ).
thf(zip_derived_cl589_009,plain,
! [X0: $i] :
( ( in @ ( sk__1 @ X0 ) @ X0 )
| ( empty @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl19,zip_derived_cl74]) ).
thf(zip_derived_cl965_010,plain,
! [X0: $i] :
( ~ ( in @ X0 @ sk__14 )
| ( in @ ( sk__17 @ sk__16 ) @ sk__16 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl961,zip_derived_cl87]) ).
thf(zip_derived_cl1055,plain,
( ( empty @ sk__14 )
| ( in @ ( sk__17 @ sk__16 ) @ sk__16 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl589,zip_derived_cl965]) ).
thf(zip_derived_cl1969,plain,
in @ ( sk__17 @ sk__16 ) @ sk__16,
inference(clc,[status(thm)],[zip_derived_cl1968,zip_derived_cl1055]) ).
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_cl617_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_cl696,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_cl617]) ).
thf(zip_derived_cl1974,plain,
! [X0: $i] :
( ~ ( epsilon_transitive @ sk__16 )
| ~ ( in @ X0 @ ( sk__17 @ sk__16 ) )
| ( element @ X0 @ sk__16 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1969,zip_derived_cl696]) ).
thf(zip_derived_cl2861,plain,
! [X0: $i] :
( ~ ( ordinal @ sk__16 )
| ~ ( in @ X0 @ ( sk__17 @ sk__16 ) )
| ( element @ X0 @ sk__16 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl1974]) ).
thf(zip_derived_cl76,plain,
ordinal @ sk__16,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2863,plain,
! [X0: $i] :
( ~ ( in @ X0 @ ( sk__17 @ sk__16 ) )
| ( element @ X0 @ sk__16 ) ),
inference(demod,[status(thm)],[zip_derived_cl2861,zip_derived_cl76]) ).
thf(zip_derived_cl589_012,plain,
! [X0: $i] :
( ( in @ ( sk__1 @ X0 ) @ X0 )
| ( empty @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl19,zip_derived_cl74]) ).
thf(zip_derived_cl2863_013,plain,
! [X0: $i] :
( ~ ( in @ X0 @ ( sk__17 @ sk__16 ) )
| ( element @ X0 @ sk__16 ) ),
inference(demod,[status(thm)],[zip_derived_cl2861,zip_derived_cl76]) ).
thf(zip_derived_cl2870,plain,
( ( empty @ ( sk__17 @ sk__16 ) )
| ( element @ ( sk__1 @ ( sk__17 @ sk__16 ) ) @ sk__16 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl589,zip_derived_cl2863]) ).
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_cl2961,plain,
( ( empty @ ( sk__17 @ sk__16 ) )
| ( in @ ( sk__1 @ ( sk__17 @ sk__16 ) ) @ sk__16 )
| ( empty @ sk__16 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2870,zip_derived_cl74]) ).
thf(zip_derived_cl1969_015,plain,
in @ ( sk__17 @ sk__16 ) @ sk__16,
inference(clc,[status(thm)],[zip_derived_cl1968,zip_derived_cl1055]) ).
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_cl1972,plain,
~ ( empty @ sk__16 ),
inference('s_sup-',[status(thm)],[zip_derived_cl1969,zip_derived_cl86]) ).
thf(zip_derived_cl2972,plain,
( ( empty @ ( sk__17 @ sk__16 ) )
| ( in @ ( sk__1 @ ( sk__17 @ sk__16 ) ) @ sk__16 ) ),
inference(demod,[status(thm)],[zip_derived_cl2961,zip_derived_cl1972]) ).
thf(zip_derived_cl589_016,plain,
! [X0: $i] :
( ( in @ ( sk__1 @ X0 ) @ X0 )
| ( empty @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl19,zip_derived_cl74]) ).
thf(zip_derived_cl88,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( in @ X0 @ X1 )
| ~ ( in @ X2 @ X1 )
| ~ ( in @ X2 @ ( sk__17 @ X1 ) ) ),
inference(cnf,[status(esa)],[t7_tarski]) ).
thf(zip_derived_cl637,plain,
! [X0: $i,X1: $i] :
( ~ ( in @ X1 @ ( sk__17 @ X0 ) )
| ~ ( in @ X1 @ X0 ) ),
inference(condensation,[status(thm)],[zip_derived_cl88]) ).
thf(zip_derived_cl767,plain,
! [X0: $i] :
( ( empty @ ( sk__17 @ X0 ) )
| ~ ( in @ ( sk__1 @ ( sk__17 @ X0 ) ) @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl589,zip_derived_cl637]) ).
thf(zip_derived_cl3150,plain,
empty @ ( sk__17 @ sk__16 ),
inference(clc,[status(thm)],[zip_derived_cl2972,zip_derived_cl767]) ).
thf(zip_derived_cl85_017,plain,
! [X0: $i] :
( ( X0 = empty_set )
| ~ ( empty @ X0 ) ),
inference(cnf,[status(esa)],[t6_boole]) ).
thf(zip_derived_cl3152,plain,
( ( sk__17 @ sk__16 )
= empty_set ),
inference('s_sup-',[status(thm)],[zip_derived_cl3150,zip_derived_cl85]) ).
thf(zip_derived_cl3196,plain,
! [X0: $i] :
( ~ ( in @ X0 @ empty_set )
| ( element @ X0 @ sk__16 ) ),
inference(demod,[status(thm)],[zip_derived_cl2863,zip_derived_cl3152]) ).
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_cl3789,plain,
! [X0: $i] :
( ~ ( in @ X0 @ empty_set )
| ( in @ X0 @ sk__16 )
| ( empty @ sk__16 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl3196,zip_derived_cl74]) ).
thf(zip_derived_cl1972_019,plain,
~ ( empty @ sk__16 ),
inference('s_sup-',[status(thm)],[zip_derived_cl1969,zip_derived_cl86]) ).
thf(zip_derived_cl3790,plain,
! [X0: $i] :
( ~ ( in @ X0 @ empty_set )
| ( in @ X0 @ sk__16 ) ),
inference(demod,[status(thm)],[zip_derived_cl3789,zip_derived_cl1972]) ).
thf(zip_derived_cl3152_020,plain,
( ( sk__17 @ sk__16 )
= empty_set ),
inference('s_sup-',[status(thm)],[zip_derived_cl3150,zip_derived_cl85]) ).
thf(zip_derived_cl637_021,plain,
! [X0: $i,X1: $i] :
( ~ ( in @ X1 @ ( sk__17 @ X0 ) )
| ~ ( in @ X1 @ X0 ) ),
inference(condensation,[status(thm)],[zip_derived_cl88]) ).
thf(zip_derived_cl3200,plain,
! [X0: $i] :
( ~ ( in @ X0 @ empty_set )
| ~ ( in @ X0 @ sk__16 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl3152,zip_derived_cl637]) ).
thf(zip_derived_cl3791,plain,
! [X0: $i] :
~ ( in @ X0 @ empty_set ),
inference(clc,[status(thm)],[zip_derived_cl3790,zip_derived_cl3200]) ).
thf(zip_derived_cl3792,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_cl3791]) ).
thf(zip_derived_cl24_022,plain,
ordinal @ empty_set,
inference(cnf,[status(esa)],[fc2_ordinal1]) ).
thf(zip_derived_cl3802,plain,
! [X0: $i] :
( ( empty_set = X0 )
| ( in @ empty_set @ X0 )
| ~ ( ordinal @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl3792,zip_derived_cl24]) ).
thf(zip_derived_cl87_023,plain,
! [X0: $i,X1: $i] :
( ~ ( in @ X0 @ X1 )
| ( in @ ( sk__17 @ X1 ) @ X1 ) ),
inference(cnf,[status(esa)],[t7_tarski]) ).
thf(zip_derived_cl3832,plain,
! [X0: $i] :
( ~ ( ordinal @ X0 )
| ( empty_set = X0 )
| ( in @ ( sk__17 @ X0 ) @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl3802,zip_derived_cl87]) ).
thf(zip_derived_cl78,plain,
! [X0: $i] :
( ( in @ ( sk__15 @ X0 ) @ sk__14 )
| ~ ( in @ X0 @ sk__14 )
| ~ ( ordinal @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl79,plain,
! [X0: $i] :
( ~ ( ordinal_subset @ X0 @ ( sk__15 @ X0 ) )
| ~ ( in @ X0 @ sk__14 )
| ~ ( ordinal @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl602,plain,
! [X0: $i] :
( ~ ( ordinal @ X0 )
| ~ ( in @ X0 @ sk__14 )
| ~ ( ordinal_subset @ ( sk__15 @ X0 ) @ ( sk__15 @ ( sk__15 @ X0 ) ) )
| ~ ( ordinal @ ( sk__15 @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl78,zip_derived_cl79]) ).
thf(zip_derived_cl80,plain,
! [X0: $i] :
( ( ordinal @ ( sk__15 @ X0 ) )
| ~ ( in @ X0 @ sk__14 )
| ~ ( ordinal @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl643,plain,
! [X0: $i] :
( ~ ( ordinal_subset @ ( sk__15 @ X0 ) @ ( sk__15 @ ( sk__15 @ X0 ) ) )
| ~ ( in @ X0 @ sk__14 )
| ~ ( ordinal @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl602,zip_derived_cl80]) ).
thf(zip_derived_cl4330,plain,
( ( empty_set = sk__14 )
| ~ ( ordinal @ sk__14 )
| ~ ( ordinal_subset @ ( sk__15 @ ( sk__17 @ sk__14 ) ) @ ( sk__15 @ ( sk__15 @ ( sk__17 @ sk__14 ) ) ) )
| ~ ( ordinal @ ( sk__17 @ sk__14 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl3832,zip_derived_cl643]) ).
thf(zip_derived_cl77_024,plain,
sk__14 != empty_set,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl4383,plain,
( ~ ( ordinal @ sk__14 )
| ~ ( ordinal_subset @ ( sk__15 @ ( sk__17 @ sk__14 ) ) @ ( sk__15 @ ( sk__15 @ ( sk__17 @ sk__14 ) ) ) )
| ~ ( ordinal @ ( sk__17 @ sk__14 ) ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4330,zip_derived_cl77]) ).
thf(zip_derived_cl11_025,plain,
! [X0: $i] :
( ( ordinal @ X0 )
| ~ ( empty @ X0 ) ),
inference(cnf,[status(esa)],[cc3_ordinal1]) ).
thf(zip_derived_cl3832_026,plain,
! [X0: $i] :
( ~ ( ordinal @ X0 )
| ( empty_set = X0 )
| ( in @ ( sk__17 @ X0 ) @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl3802,zip_derived_cl87]) ).
thf(zip_derived_cl961_027,plain,
! [X0: $i] :
( ( in @ X0 @ sk__16 )
| ~ ( in @ X0 @ sk__14 ) ),
inference(clc,[status(thm)],[zip_derived_cl717,zip_derived_cl615]) ).
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_cl963,plain,
! [X0: $i] :
( ~ ( in @ X0 @ sk__14 )
| ( ordinal @ X0 )
| ~ ( ordinal @ sk__16 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl961,zip_derived_cl72]) ).
thf(zip_derived_cl76_028,plain,
ordinal @ sk__16,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl972,plain,
! [X0: $i] :
( ~ ( in @ X0 @ sk__14 )
| ( ordinal @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl963,zip_derived_cl76]) ).
thf(zip_derived_cl4339,plain,
( ( empty_set = sk__14 )
| ~ ( ordinal @ sk__14 )
| ( ordinal @ ( sk__17 @ sk__14 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl3832,zip_derived_cl972]) ).
thf(zip_derived_cl77_029,plain,
sk__14 != empty_set,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl4392,plain,
( ~ ( ordinal @ sk__14 )
| ( ordinal @ ( sk__17 @ sk__14 ) ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4339,zip_derived_cl77]) ).
thf(zip_derived_cl4428,plain,
( ~ ( empty @ sk__14 )
| ( ordinal @ ( sk__17 @ sk__14 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl11,zip_derived_cl4392]) ).
thf(zip_derived_cl589_030,plain,
! [X0: $i] :
( ( in @ ( sk__1 @ X0 ) @ X0 )
| ( empty @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl19,zip_derived_cl74]) ).
thf(zip_derived_cl87_031,plain,
! [X0: $i,X1: $i] :
( ~ ( in @ X0 @ X1 )
| ( in @ ( sk__17 @ X1 ) @ X1 ) ),
inference(cnf,[status(esa)],[t7_tarski]) ).
thf(zip_derived_cl757,plain,
! [X0: $i] :
( ( empty @ X0 )
| ( in @ ( sk__17 @ X0 ) @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl589,zip_derived_cl87]) ).
thf(zip_derived_cl972_032,plain,
! [X0: $i] :
( ~ ( in @ X0 @ sk__14 )
| ( ordinal @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl963,zip_derived_cl76]) ).
thf(zip_derived_cl982,plain,
( ( empty @ sk__14 )
| ( ordinal @ ( sk__17 @ sk__14 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl757,zip_derived_cl972]) ).
thf(zip_derived_cl4437,plain,
ordinal @ ( sk__17 @ sk__14 ),
inference(clc,[status(thm)],[zip_derived_cl4428,zip_derived_cl982]) ).
thf(zip_derived_cl4973,plain,
( ~ ( ordinal @ sk__14 )
| ~ ( ordinal_subset @ ( sk__15 @ ( sk__17 @ sk__14 ) ) @ ( sk__15 @ ( sk__15 @ ( sk__17 @ sk__14 ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4383,zip_derived_cl4437]) ).
thf(zip_derived_cl4974,plain,
( ~ ( empty @ sk__14 )
| ~ ( ordinal_subset @ ( sk__15 @ ( sk__17 @ sk__14 ) ) @ ( sk__15 @ ( sk__15 @ ( sk__17 @ sk__14 ) ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl11,zip_derived_cl4973]) ).
thf(zip_derived_cl757_033,plain,
! [X0: $i] :
( ( empty @ X0 )
| ( in @ ( sk__17 @ X0 ) @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl589,zip_derived_cl87]) ).
thf(zip_derived_cl643_034,plain,
! [X0: $i] :
( ~ ( ordinal_subset @ ( sk__15 @ X0 ) @ ( sk__15 @ ( sk__15 @ X0 ) ) )
| ~ ( in @ X0 @ sk__14 )
| ~ ( ordinal @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl602,zip_derived_cl80]) ).
thf(zip_derived_cl805,plain,
( ( empty @ sk__14 )
| ~ ( ordinal_subset @ ( sk__15 @ ( sk__17 @ sk__14 ) ) @ ( sk__15 @ ( sk__15 @ ( sk__17 @ sk__14 ) ) ) )
| ~ ( ordinal @ ( sk__17 @ sk__14 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl757,zip_derived_cl643]) ).
thf(zip_derived_cl982_035,plain,
( ( empty @ sk__14 )
| ( ordinal @ ( sk__17 @ sk__14 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl757,zip_derived_cl972]) ).
thf(zip_derived_cl1835,plain,
( ~ ( ordinal_subset @ ( sk__15 @ ( sk__17 @ sk__14 ) ) @ ( sk__15 @ ( sk__15 @ ( sk__17 @ sk__14 ) ) ) )
| ( empty @ sk__14 ) ),
inference(clc,[status(thm)],[zip_derived_cl805,zip_derived_cl982]) ).
thf(zip_derived_cl5093,plain,
~ ( ordinal_subset @ ( sk__15 @ ( sk__17 @ sk__14 ) ) @ ( sk__15 @ ( sk__15 @ ( sk__17 @ sk__14 ) ) ) ),
inference(clc,[status(thm)],[zip_derived_cl4974,zip_derived_cl1835]) ).
thf(zip_derived_cl5094,plain,
( ~ ( subset @ ( sk__15 @ ( sk__17 @ sk__14 ) ) @ ( sk__15 @ ( sk__15 @ ( sk__17 @ sk__14 ) ) ) )
| ~ ( ordinal @ ( sk__15 @ ( sk__15 @ ( sk__17 @ sk__14 ) ) ) )
| ~ ( ordinal @ ( sk__15 @ ( sk__17 @ sk__14 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl68,zip_derived_cl5093]) ).
thf(zip_derived_cl757_036,plain,
! [X0: $i] :
( ( empty @ X0 )
| ( in @ ( sk__17 @ X0 ) @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl589,zip_derived_cl87]) ).
thf(zip_derived_cl78_037,plain,
! [X0: $i] :
( ( in @ ( sk__15 @ X0 ) @ sk__14 )
| ~ ( in @ X0 @ sk__14 )
| ~ ( 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_cl637_039,plain,
! [X0: $i,X1: $i] :
( ~ ( in @ X1 @ ( sk__17 @ X0 ) )
| ~ ( in @ X1 @ X0 ) ),
inference(condensation,[status(thm)],[zip_derived_cl88]) ).
thf(zip_derived_cl639,plain,
! [X0: $i,X1: $i] :
( ~ ( ordinal @ X1 )
| ( in @ ( sk__17 @ X0 ) @ X1 )
| ( X1
= ( sk__17 @ X0 ) )
| ~ ( ordinal @ ( sk__17 @ X0 ) )
| ~ ( in @ X1 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl73,zip_derived_cl637]) ).
thf(zip_derived_cl757_040,plain,
! [X0: $i] :
( ( empty @ X0 )
| ( in @ ( sk__17 @ X0 ) @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl589,zip_derived_cl87]) ).
thf(zip_derived_cl78_041,plain,
! [X0: $i] :
( ( in @ ( sk__15 @ X0 ) @ sk__14 )
| ~ ( in @ X0 @ sk__14 )
| ~ ( ordinal @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl972_042,plain,
! [X0: $i] :
( ~ ( in @ X0 @ sk__14 )
| ( ordinal @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl963,zip_derived_cl76]) ).
thf(zip_derived_cl980,plain,
! [X0: $i] :
( ~ ( ordinal @ X0 )
| ~ ( in @ X0 @ sk__14 )
| ( ordinal @ ( sk__15 @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl78,zip_derived_cl972]) ).
thf(zip_derived_cl972_043,plain,
! [X0: $i] :
( ~ ( in @ X0 @ sk__14 )
| ( ordinal @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl963,zip_derived_cl76]) ).
thf(zip_derived_cl1011,plain,
! [X0: $i] :
( ( ordinal @ ( sk__15 @ X0 ) )
| ~ ( in @ X0 @ sk__14 ) ),
inference(clc,[status(thm)],[zip_derived_cl980,zip_derived_cl972]) ).
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_cl757_046,plain,
! [X0: $i] :
( ( empty @ X0 )
| ( in @ ( sk__17 @ X0 ) @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl589,zip_derived_cl87]) ).
thf(zip_derived_cl1011_047,plain,
! [X0: $i] :
( ( ordinal @ ( sk__15 @ X0 ) )
| ~ ( in @ X0 @ sk__14 ) ),
inference(clc,[status(thm)],[zip_derived_cl980,zip_derived_cl972]) ).
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_cl3832_050,plain,
! [X0: $i] :
( ~ ( ordinal @ X0 )
| ( empty_set = X0 )
| ( in @ ( sk__17 @ X0 ) @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl3802,zip_derived_cl87]) ).
thf(zip_derived_cl79_051,plain,
! [X0: $i] :
( ~ ( ordinal_subset @ X0 @ ( sk__15 @ X0 ) )
| ~ ( in @ X0 @ sk__14 )
| ~ ( ordinal @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl4328,plain,
( ( empty_set = sk__14 )
| ~ ( ordinal @ sk__14 )
| ~ ( ordinal_subset @ ( sk__17 @ sk__14 ) @ ( sk__15 @ ( sk__17 @ sk__14 ) ) )
| ~ ( ordinal @ ( sk__17 @ sk__14 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl3832,zip_derived_cl79]) ).
thf(zip_derived_cl77_052,plain,
sk__14 != empty_set,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl4381,plain,
( ~ ( ordinal @ sk__14 )
| ~ ( ordinal_subset @ ( sk__17 @ sk__14 ) @ ( sk__15 @ ( sk__17 @ sk__14 ) ) )
| ~ ( ordinal @ ( sk__17 @ sk__14 ) ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4328,zip_derived_cl77]) ).
thf(zip_derived_cl4437_053,plain,
ordinal @ ( sk__17 @ sk__14 ),
inference(clc,[status(thm)],[zip_derived_cl4428,zip_derived_cl982]) ).
thf(zip_derived_cl4638,plain,
( ~ ( ordinal @ sk__14 )
| ~ ( ordinal_subset @ ( sk__17 @ sk__14 ) @ ( sk__15 @ ( sk__17 @ sk__14 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4381,zip_derived_cl4437]) ).
thf(zip_derived_cl4639,plain,
( ~ ( empty @ sk__14 )
| ~ ( ordinal_subset @ ( sk__17 @ sk__14 ) @ ( sk__15 @ ( sk__17 @ sk__14 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl11,zip_derived_cl4638]) ).
thf(zip_derived_cl757_054,plain,
! [X0: $i] :
( ( empty @ X0 )
| ( in @ ( sk__17 @ X0 ) @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl589,zip_derived_cl87]) ).
thf(zip_derived_cl79_055,plain,
! [X0: $i] :
( ~ ( ordinal_subset @ X0 @ ( sk__15 @ X0 ) )
| ~ ( in @ X0 @ sk__14 )
| ~ ( ordinal @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl803,plain,
( ( empty @ sk__14 )
| ~ ( ordinal_subset @ ( sk__17 @ sk__14 ) @ ( sk__15 @ ( sk__17 @ sk__14 ) ) )
| ~ ( ordinal @ ( sk__17 @ sk__14 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl757,zip_derived_cl79]) ).
thf(zip_derived_cl982_056,plain,
( ( empty @ sk__14 )
| ( ordinal @ ( sk__17 @ sk__14 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl757,zip_derived_cl972]) ).
thf(zip_derived_cl1822,plain,
( ~ ( ordinal_subset @ ( sk__17 @ sk__14 ) @ ( sk__15 @ ( sk__17 @ sk__14 ) ) )
| ( empty @ sk__14 ) ),
inference(clc,[status(thm)],[zip_derived_cl803,zip_derived_cl982]) ).
thf(zip_derived_cl4762,plain,
~ ( ordinal_subset @ ( sk__17 @ sk__14 ) @ ( sk__15 @ ( sk__17 @ sk__14 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl4639,zip_derived_cl1822]) ).
thf(zip_derived_cl4763,plain,
( ~ ( subset @ ( sk__17 @ sk__14 ) @ ( sk__15 @ ( sk__17 @ sk__14 ) ) )
| ~ ( ordinal @ ( sk__15 @ ( sk__17 @ sk__14 ) ) )
| ~ ( ordinal @ ( sk__17 @ sk__14 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl68,zip_derived_cl4762]) ).
thf(zip_derived_cl4437_057,plain,
ordinal @ ( sk__17 @ sk__14 ),
inference(clc,[status(thm)],[zip_derived_cl4428,zip_derived_cl982]) ).
thf(zip_derived_cl4774,plain,
( ~ ( subset @ ( sk__17 @ sk__14 ) @ ( sk__15 @ ( sk__17 @ sk__14 ) ) )
| ~ ( ordinal @ ( sk__15 @ ( sk__17 @ sk__14 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4763,zip_derived_cl4437]) ).
thf(zip_derived_cl5003,plain,
( ~ ( in @ ( sk__17 @ sk__14 ) @ sk__14 )
| ~ ( subset @ ( sk__17 @ sk__14 ) @ ( sk__15 @ ( sk__17 @ sk__14 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1011,zip_derived_cl4774]) ).
thf(zip_derived_cl5016,plain,
( ( empty @ sk__14 )
| ~ ( subset @ ( sk__17 @ sk__14 ) @ ( sk__15 @ ( sk__17 @ sk__14 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl757,zip_derived_cl5003]) ).
thf(zip_derived_cl11_058,plain,
! [X0: $i] :
( ( ordinal @ X0 )
| ~ ( empty @ X0 ) ),
inference(cnf,[status(esa)],[cc3_ordinal1]) ).
thf(zip_derived_cl3832_059,plain,
! [X0: $i] :
( ~ ( ordinal @ X0 )
| ( empty_set = X0 )
| ( in @ ( sk__17 @ X0 ) @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl3802,zip_derived_cl87]) ).
thf(zip_derived_cl5003_060,plain,
( ~ ( in @ ( sk__17 @ sk__14 ) @ sk__14 )
| ~ ( subset @ ( sk__17 @ sk__14 ) @ ( sk__15 @ ( sk__17 @ sk__14 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1011,zip_derived_cl4774]) ).
thf(zip_derived_cl5017,plain,
( ( empty_set = sk__14 )
| ~ ( ordinal @ sk__14 )
| ~ ( subset @ ( sk__17 @ sk__14 ) @ ( sk__15 @ ( sk__17 @ sk__14 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl3832,zip_derived_cl5003]) ).
thf(zip_derived_cl77_061,plain,
sk__14 != empty_set,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl5024,plain,
( ~ ( ordinal @ sk__14 )
| ~ ( subset @ ( sk__17 @ sk__14 ) @ ( sk__15 @ ( sk__17 @ sk__14 ) ) ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl5017,zip_derived_cl77]) ).
thf(zip_derived_cl5032,plain,
( ~ ( empty @ sk__14 )
| ~ ( subset @ ( sk__17 @ sk__14 ) @ ( sk__15 @ ( sk__17 @ sk__14 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl11,zip_derived_cl5024]) ).
thf(zip_derived_cl5831,plain,
~ ( subset @ ( sk__17 @ sk__14 ) @ ( sk__15 @ ( sk__17 @ sk__14 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl5016,zip_derived_cl5032]) ).
thf(zip_derived_cl5832,plain,
( ~ ( epsilon_transitive @ ( sk__15 @ ( sk__17 @ sk__14 ) ) )
| ~ ( in @ ( sk__17 @ sk__14 ) @ ( sk__15 @ ( sk__17 @ sk__14 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl13,zip_derived_cl5831]) ).
thf(zip_derived_cl6106,plain,
( ~ ( ordinal @ ( sk__15 @ ( sk__17 @ sk__14 ) ) )
| ~ ( in @ ( sk__17 @ sk__14 ) @ ( sk__15 @ ( sk__17 @ sk__14 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl5832]) ).
thf(zip_derived_cl6116,plain,
( ~ ( in @ ( sk__17 @ sk__14 ) @ sk__14 )
| ~ ( in @ ( sk__17 @ sk__14 ) @ ( sk__15 @ ( sk__17 @ sk__14 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1011,zip_derived_cl6106]) ).
thf(zip_derived_cl6165,plain,
( ( empty @ sk__14 )
| ~ ( in @ ( sk__17 @ sk__14 ) @ ( sk__15 @ ( sk__17 @ sk__14 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl757,zip_derived_cl6116]) ).
thf(zip_derived_cl11_062,plain,
! [X0: $i] :
( ( ordinal @ X0 )
| ~ ( empty @ X0 ) ),
inference(cnf,[status(esa)],[cc3_ordinal1]) ).
thf(zip_derived_cl3832_063,plain,
! [X0: $i] :
( ~ ( ordinal @ X0 )
| ( empty_set = X0 )
| ( in @ ( sk__17 @ X0 ) @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl3802,zip_derived_cl87]) ).
thf(zip_derived_cl6116_064,plain,
( ~ ( in @ ( sk__17 @ sk__14 ) @ sk__14 )
| ~ ( in @ ( sk__17 @ sk__14 ) @ ( sk__15 @ ( sk__17 @ sk__14 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1011,zip_derived_cl6106]) ).
thf(zip_derived_cl6166,plain,
( ( empty_set = sk__14 )
| ~ ( ordinal @ sk__14 )
| ~ ( in @ ( sk__17 @ sk__14 ) @ ( sk__15 @ ( sk__17 @ sk__14 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl3832,zip_derived_cl6116]) ).
thf(zip_derived_cl77_065,plain,
sk__14 != empty_set,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl6173,plain,
( ~ ( ordinal @ sk__14 )
| ~ ( in @ ( sk__17 @ sk__14 ) @ ( sk__15 @ ( sk__17 @ sk__14 ) ) ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl6166,zip_derived_cl77]) ).
thf(zip_derived_cl6180,plain,
( ~ ( empty @ sk__14 )
| ~ ( in @ ( sk__17 @ sk__14 ) @ ( sk__15 @ ( sk__17 @ sk__14 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl11,zip_derived_cl6173]) ).
thf(zip_derived_cl6222,plain,
~ ( in @ ( sk__17 @ sk__14 ) @ ( sk__15 @ ( sk__17 @ sk__14 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl6165,zip_derived_cl6180]) ).
thf(zip_derived_cl6224,plain,
( ~ ( in @ ( sk__15 @ ( sk__17 @ sk__14 ) ) @ sk__14 )
| ~ ( ordinal @ ( sk__17 @ sk__14 ) )
| ( ( sk__15 @ ( sk__17 @ sk__14 ) )
= ( sk__17 @ sk__14 ) )
| ~ ( ordinal @ ( sk__15 @ ( sk__17 @ sk__14 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl639,zip_derived_cl6222]) ).
thf(zip_derived_cl4437_066,plain,
ordinal @ ( sk__17 @ sk__14 ),
inference(clc,[status(thm)],[zip_derived_cl4428,zip_derived_cl982]) ).
thf(zip_derived_cl6234,plain,
( ~ ( in @ ( sk__15 @ ( sk__17 @ sk__14 ) ) @ sk__14 )
| ( ( sk__15 @ ( sk__17 @ sk__14 ) )
= ( sk__17 @ sk__14 ) )
| ~ ( ordinal @ ( sk__15 @ ( sk__17 @ sk__14 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6224,zip_derived_cl4437]) ).
thf(zip_derived_cl972_067,plain,
! [X0: $i] :
( ~ ( in @ X0 @ sk__14 )
| ( ordinal @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl963,zip_derived_cl76]) ).
thf(zip_derived_cl78085,plain,
( ( ( sk__15 @ ( sk__17 @ sk__14 ) )
= ( sk__17 @ sk__14 ) )
| ~ ( in @ ( sk__15 @ ( sk__17 @ sk__14 ) ) @ sk__14 ) ),
inference(clc,[status(thm)],[zip_derived_cl6234,zip_derived_cl972]) ).
thf(zip_derived_cl78091,plain,
( ~ ( ordinal @ ( sk__17 @ sk__14 ) )
| ~ ( in @ ( sk__17 @ sk__14 ) @ sk__14 )
| ( ( sk__15 @ ( sk__17 @ sk__14 ) )
= ( sk__17 @ sk__14 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl78,zip_derived_cl78085]) ).
thf(zip_derived_cl4437_068,plain,
ordinal @ ( sk__17 @ sk__14 ),
inference(clc,[status(thm)],[zip_derived_cl4428,zip_derived_cl982]) ).
thf(zip_derived_cl78133,plain,
( ~ ( in @ ( sk__17 @ sk__14 ) @ sk__14 )
| ( ( sk__15 @ ( sk__17 @ sk__14 ) )
= ( sk__17 @ sk__14 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl78091,zip_derived_cl4437]) ).
thf(zip_derived_cl78234,plain,
( ( empty @ sk__14 )
| ( ( sk__15 @ ( sk__17 @ sk__14 ) )
= ( sk__17 @ sk__14 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl757,zip_derived_cl78133]) ).
thf(zip_derived_cl11_069,plain,
! [X0: $i] :
( ( ordinal @ X0 )
| ~ ( empty @ X0 ) ),
inference(cnf,[status(esa)],[cc3_ordinal1]) ).
thf(zip_derived_cl3832_070,plain,
! [X0: $i] :
( ~ ( ordinal @ X0 )
| ( empty_set = X0 )
| ( in @ ( sk__17 @ X0 ) @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl3802,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_cl4315,plain,
! [X0: $i] :
( ( empty_set = X0 )
| ~ ( ordinal @ X0 )
| ( ordinal @ ( sk__17 @ X0 ) )
| ~ ( ordinal @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl3832,zip_derived_cl72]) ).
thf(zip_derived_cl4377,plain,
! [X0: $i] :
( ( ordinal @ ( sk__17 @ X0 ) )
| ~ ( ordinal @ X0 )
| ( empty_set = X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl4315]) ).
thf(zip_derived_cl3802_072,plain,
! [X0: $i] :
( ( empty_set = X0 )
| ( in @ empty_set @ X0 )
| ~ ( ordinal @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl3792,zip_derived_cl24]) ).
thf(zip_derived_cl639_073,plain,
! [X0: $i,X1: $i] :
( ~ ( ordinal @ X1 )
| ( in @ ( sk__17 @ X0 ) @ X1 )
| ( X1
= ( sk__17 @ X0 ) )
| ~ ( ordinal @ ( sk__17 @ X0 ) )
| ~ ( in @ X1 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl73,zip_derived_cl637]) ).
thf(zip_derived_cl3791_074,plain,
! [X0: $i] :
~ ( in @ X0 @ empty_set ),
inference(clc,[status(thm)],[zip_derived_cl3790,zip_derived_cl3200]) ).
thf(zip_derived_cl3801,plain,
! [X0: $i] :
( ~ ( in @ empty_set @ X0 )
| ~ ( ordinal @ ( sk__17 @ X0 ) )
| ( empty_set
= ( sk__17 @ X0 ) )
| ~ ( ordinal @ empty_set ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl639,zip_derived_cl3791]) ).
thf(zip_derived_cl24_075,plain,
ordinal @ empty_set,
inference(cnf,[status(esa)],[fc2_ordinal1]) ).
thf(zip_derived_cl3807,plain,
! [X0: $i] :
( ~ ( in @ empty_set @ X0 )
| ~ ( ordinal @ ( sk__17 @ X0 ) )
| ( empty_set
= ( sk__17 @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3801,zip_derived_cl24]) ).
thf(zip_derived_cl4100,plain,
! [X0: $i] :
( ~ ( ordinal @ X0 )
| ( empty_set = X0 )
| ~ ( ordinal @ ( sk__17 @ X0 ) )
| ( empty_set
= ( sk__17 @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl3802,zip_derived_cl3807]) ).
thf(zip_derived_cl4505,plain,
! [X0: $i] :
( ( empty_set = X0 )
| ~ ( ordinal @ X0 )
| ~ ( ordinal @ X0 )
| ( empty_set = X0 )
| ( empty_set
= ( sk__17 @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl4377,zip_derived_cl4100]) ).
thf(zip_derived_cl4513,plain,
! [X0: $i] :
( ( empty_set
= ( sk__17 @ X0 ) )
| ~ ( ordinal @ X0 )
| ( empty_set = X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl4505]) ).
thf(zip_derived_cl757_076,plain,
! [X0: $i] :
( ( empty @ X0 )
| ( in @ ( sk__17 @ X0 ) @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl589,zip_derived_cl87]) ).
thf(zip_derived_cl1011_077,plain,
! [X0: $i] :
( ( ordinal @ ( sk__15 @ X0 ) )
| ~ ( in @ X0 @ sk__14 ) ),
inference(clc,[status(thm)],[zip_derived_cl980,zip_derived_cl972]) ).
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_cl536,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_cl666,plain,
! [X0: $i,X1: $i] :
( ~ ( empty @ X0 )
| ( X1 = X0 )
| ( in @ X0 @ X1 )
| ~ ( ordinal @ X1 ) ),
inference(clc,[status(thm)],[zip_derived_cl536,zip_derived_cl11]) ).
thf(zip_derived_cl757_081,plain,
! [X0: $i] :
( ( empty @ X0 )
| ( in @ ( sk__17 @ X0 ) @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl589,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_cl797,plain,
! [X0: $i] :
( ( empty @ X0 )
| ( ordinal @ ( sk__17 @ X0 ) )
| ~ ( ordinal @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl757,zip_derived_cl72]) ).
thf(zip_derived_cl666_083,plain,
! [X0: $i,X1: $i] :
( ~ ( empty @ X0 )
| ( X1 = X0 )
| ( in @ X0 @ X1 )
| ~ ( ordinal @ X1 ) ),
inference(clc,[status(thm)],[zip_derived_cl536,zip_derived_cl11]) ).
thf(zip_derived_cl637_084,plain,
! [X0: $i,X1: $i] :
( ~ ( in @ X1 @ ( sk__17 @ X0 ) )
| ~ ( in @ X1 @ X0 ) ),
inference(condensation,[status(thm)],[zip_derived_cl88]) ).
thf(zip_derived_cl680,plain,
! [X0: $i,X1: $i] :
( ~ ( ordinal @ ( sk__17 @ X0 ) )
| ( ( sk__17 @ X0 )
= X1 )
| ~ ( empty @ X1 )
| ~ ( in @ X1 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl666,zip_derived_cl637]) ).
thf(zip_derived_cl846,plain,
! [X0: $i,X1: $i] :
( ~ ( ordinal @ X0 )
| ( empty @ X0 )
| ( ( sk__17 @ X0 )
= X1 )
| ~ ( empty @ X1 )
| ~ ( in @ X1 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl797,zip_derived_cl680]) ).
thf(zip_derived_cl86_085,plain,
! [X0: $i,X1: $i] :
( ~ ( in @ X0 @ X1 )
| ~ ( empty @ X1 ) ),
inference(cnf,[status(esa)],[t7_boole]) ).
thf(zip_derived_cl7850,plain,
! [X0: $i,X1: $i] :
( ~ ( in @ X1 @ X0 )
| ~ ( empty @ X1 )
| ( ( sk__17 @ X0 )
= X1 )
| ~ ( ordinal @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl846,zip_derived_cl86]) ).
thf(zip_derived_cl7853,plain,
! [X0: $i,X1: $i] :
( ~ ( ordinal @ X0 )
| ( X0 = X1 )
| ~ ( empty @ X1 )
| ~ ( empty @ X1 )
| ( ( sk__17 @ X0 )
= X1 )
| ~ ( ordinal @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl666,zip_derived_cl7850]) ).
thf(zip_derived_cl7876,plain,
! [X0: $i,X1: $i] :
( ( ( sk__17 @ X0 )
= X1 )
| ~ ( empty @ X1 )
| ( X0 = X1 )
| ~ ( ordinal @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl7853]) ).
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_cl1969_086,plain,
in @ ( sk__17 @ sk__16 ) @ sk__16,
inference(clc,[status(thm)],[zip_derived_cl1968,zip_derived_cl1055]) ).
thf(zip_derived_cl1977,plain,
! [X0: $i] :
( ~ ( empty @ X0 )
| ~ ( empty @ ( sk__17 @ sk__16 ) )
| ( in @ X0 @ sk__16 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl89,zip_derived_cl1969]) ).
thf(zip_derived_cl3150_087,plain,
empty @ ( sk__17 @ sk__16 ),
inference(clc,[status(thm)],[zip_derived_cl2972,zip_derived_cl767]) ).
thf(zip_derived_cl3151,plain,
! [X0: $i] :
( ~ ( empty @ X0 )
| ( in @ X0 @ sk__16 ) ),
inference(demod,[status(thm)],[zip_derived_cl1977,zip_derived_cl3150]) ).
thf(zip_derived_cl1969_088,plain,
in @ ( sk__17 @ sk__16 ) @ sk__16,
inference(clc,[status(thm)],[zip_derived_cl1968,zip_derived_cl1055]) ).
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_cl1971,plain,
( ( ordinal @ ( sk__17 @ sk__16 ) )
| ~ ( ordinal @ sk__16 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1969,zip_derived_cl72]) ).
thf(zip_derived_cl76_090,plain,
ordinal @ sk__16,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1979,plain,
ordinal @ ( sk__17 @ sk__16 ),
inference(demod,[status(thm)],[zip_derived_cl1971,zip_derived_cl76]) ).
thf(zip_derived_cl680_091,plain,
! [X0: $i,X1: $i] :
( ~ ( ordinal @ ( sk__17 @ X0 ) )
| ( ( sk__17 @ X0 )
= X1 )
| ~ ( empty @ X1 )
| ~ ( in @ X1 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl666,zip_derived_cl637]) ).
thf(zip_derived_cl1986,plain,
! [X0: $i] :
( ( ( sk__17 @ sk__16 )
= X0 )
| ~ ( empty @ X0 )
| ~ ( in @ X0 @ sk__16 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1979,zip_derived_cl680]) ).
thf(zip_derived_cl3473,plain,
! [X0: $i] :
( ~ ( empty @ X0 )
| ( ( sk__17 @ sk__16 )
= X0 )
| ~ ( empty @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl3151,zip_derived_cl1986]) ).
thf(zip_derived_cl3482,plain,
! [X0: $i] :
( ( ( sk__17 @ sk__16 )
= X0 )
| ~ ( empty @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl3473]) ).
thf(zip_derived_cl9390,plain,
! [X0: $i,X1: $i] :
( ~ ( ordinal @ X0 )
| ~ ( empty @ ( sk__17 @ sk__16 ) )
| ( ( sk__17 @ X0 )
= ( sk__17 @ sk__16 ) )
| ( X0 = X1 )
| ~ ( empty @ X1 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl7876,zip_derived_cl3482]) ).
thf(zip_derived_cl3152_092,plain,
( ( sk__17 @ sk__16 )
= empty_set ),
inference('s_sup-',[status(thm)],[zip_derived_cl3150,zip_derived_cl85]) ).
thf(fc12_relat_1,axiom,
( ( relation_empty_yielding @ empty_set )
& ( relation @ empty_set )
& ( empty @ empty_set ) ) ).
thf(zip_derived_cl22,plain,
empty @ empty_set,
inference(cnf,[status(esa)],[fc12_relat_1]) ).
thf(zip_derived_cl3152_093,plain,
( ( sk__17 @ sk__16 )
= empty_set ),
inference('s_sup-',[status(thm)],[zip_derived_cl3150,zip_derived_cl85]) ).
thf(zip_derived_cl10181,plain,
! [X0: $i,X1: $i] :
( ~ ( ordinal @ X0 )
| ( ( sk__17 @ X0 )
= empty_set )
| ( X0 = X1 )
| ~ ( empty @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl9390,zip_derived_cl3152,zip_derived_cl22,zip_derived_cl3152]) ).
thf(zip_derived_cl3832_094,plain,
! [X0: $i] :
( ~ ( ordinal @ X0 )
| ( empty_set = X0 )
| ( in @ ( sk__17 @ X0 ) @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl3802,zip_derived_cl87]) ).
thf(zip_derived_cl17801,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_cl10181,zip_derived_cl3832]) ).
thf(zip_derived_cl20103,plain,
! [X0: $i,X1: $i] :
( ( in @ empty_set @ X0 )
| ( empty_set = X0 )
| ~ ( ordinal @ X0 )
| ( X0 = X1 )
| ~ ( empty @ X1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl17801]) ).
thf(zip_derived_cl1470_095,plain,
! [X0: $i] :
( ~ ( empty @ X0 )
| ( ( sk__1 @ ( powerset @ X0 ) )
= empty_set ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl760,zip_derived_cl85]) ).
thf(zip_derived_cl7876_096,plain,
! [X0: $i,X1: $i] :
( ( ( sk__17 @ X0 )
= X1 )
| ~ ( empty @ X1 )
| ( X0 = X1 )
| ~ ( ordinal @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl7853]) ).
thf(zip_derived_cl760_097,plain,
! [X0: $i] :
( ( empty @ ( sk__1 @ ( powerset @ X0 ) ) )
| ~ ( empty @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl589,zip_derived_cl530]) ).
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_cl1471,plain,
! [X0: $i,X1: $i] :
( ~ ( empty @ X0 )
| ~ ( empty @ X1 )
| ( ( sk__1 @ ( powerset @ X0 ) )
= X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl760,zip_derived_cl89]) ).
thf(zip_derived_cl7876_099,plain,
! [X0: $i,X1: $i] :
( ( ( sk__17 @ X0 )
= X1 )
| ~ ( empty @ X1 )
| ( X0 = X1 )
| ~ ( ordinal @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl7853]) ).
thf(zip_derived_cl10116,plain,
! [X0: $i,X1: $i] :
( ( ( sk__17 @ X0 )
!= X0 )
| ~ ( ordinal @ X0 )
| ( X0 = X1 )
| ~ ( empty @ X1 ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl7876]) ).
thf(zip_derived_cl10431,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( empty @ ( sk__17 @ X1 ) )
| ~ ( empty @ X0 )
| ( ( sk__1 @ ( powerset @ X0 ) )
!= X1 )
| ~ ( ordinal @ X1 )
| ( X1 = X2 )
| ~ ( empty @ X2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1471,zip_derived_cl10116]) ).
thf(zip_derived_cl16596,plain,
! [X0: $i,X1: $i] :
( ~ ( empty @ ( sk__17 @ X0 ) )
| ( X0
= ( sk__17 @ X0 ) )
| ~ ( ordinal @ X0 )
| ( ( sk__1 @ ( powerset @ X1 ) )
!= X0 )
| ~ ( empty @ X1 ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl10431]) ).
thf(zip_derived_cl16667,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_cl7876,zip_derived_cl16596]) ).
thf(zip_derived_cl16681,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_cl16667]) ).
thf(zip_derived_cl16806,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_cl1470,zip_derived_cl16681]) ).
thf(zip_derived_cl16818,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ordinal @ X0 )
| ( X0 = X2 )
| ~ ( empty @ X2 )
| ( empty_set != X0 )
| ~ ( empty @ X1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl16806]) ).
thf(zip_derived_cl16863,plain,
! [X0: $i,X1: $i] :
( ~ ( ordinal @ X0 )
| ( X0 = X1 )
| ~ ( empty @ X1 )
| ( empty_set != X0 ) ),
inference(condensation,[status(thm)],[zip_derived_cl16818]) ).
thf(zip_derived_cl29878,plain,
! [X0: $i,X1: $i] :
( ~ ( empty @ X1 )
| ( X0 = X1 )
| ~ ( ordinal @ X0 )
| ( in @ empty_set @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl20103,zip_derived_cl16863]) ).
thf(zip_derived_cl589_100,plain,
! [X0: $i] :
( ( in @ ( sk__1 @ X0 ) @ X0 )
| ( empty @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl19,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_cl509,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_cl512,plain,
! [X0: $i,X1: $i] :
( ( subset @ X1 @ X0 )
| ~ ( ordinal @ X1 )
| ~ ( ordinal @ X0 )
| ( ordinal_subset @ X0 @ X1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl509]) ).
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_cl521,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_cl512,zip_derived_cl67]) ).
thf(zip_derived_cl522,plain,
! [X0: $i,X1: $i] :
( ( subset @ X1 @ X0 )
| ( subset @ X0 @ X1 )
| ~ ( ordinal @ X0 )
| ~ ( ordinal @ X1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl521]) ).
thf(zip_derived_cl608_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_cl830,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_cl522,zip_derived_cl608]) ).
thf(zip_derived_cl11_103,plain,
! [X0: $i] :
( ( ordinal @ X0 )
| ~ ( empty @ X0 ) ),
inference(cnf,[status(esa)],[cc3_ordinal1]) ).
thf(zip_derived_cl860,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( empty @ X0 )
| ~ ( in @ X2 @ X1 )
| ( subset @ X0 @ X1 )
| ~ ( ordinal @ X1 ) ),
inference(clc,[status(thm)],[zip_derived_cl830,zip_derived_cl11]) ).
thf(zip_derived_cl865,plain,
! [X0: $i,X1: $i] :
( ( empty @ X0 )
| ~ ( empty @ X1 )
| ( subset @ X1 @ X0 )
| ~ ( ordinal @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl589,zip_derived_cl860]) ).
thf(zip_derived_cl760_104,plain,
! [X0: $i] :
( ( empty @ ( sk__1 @ ( powerset @ X0 ) ) )
| ~ ( empty @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl589,zip_derived_cl530]) ).
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_cl19_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_cl591,plain,
! [X0: $i] : ( subset @ ( sk__1 @ ( powerset @ X0 ) ) @ X0 ),
inference('s_sup-',[status(thm)],[zip_derived_cl19,zip_derived_cl81]) ).
thf(zip_derived_cl634,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_cl591]) ).
thf(zip_derived_cl2144,plain,
! [X0: $i,X1: $i] :
( ~ ( empty @ X0 )
| ~ ( empty @ X1 )
| ( subset @ X1 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl760,zip_derived_cl634]) ).
thf(zip_derived_cl5028,plain,
! [X0: $i,X1: $i] :
( ~ ( ordinal @ X0 )
| ( subset @ X1 @ X0 )
| ~ ( empty @ X1 ) ),
inference(clc,[status(thm)],[zip_derived_cl865,zip_derived_cl2144]) ).
thf(zip_derived_cl5831_107,plain,
~ ( subset @ ( sk__17 @ sk__14 ) @ ( sk__15 @ ( sk__17 @ sk__14 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl5016,zip_derived_cl5032]) ).
thf(zip_derived_cl5834,plain,
( ~ ( empty @ ( sk__17 @ sk__14 ) )
| ~ ( ordinal @ ( sk__15 @ ( sk__17 @ sk__14 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl5028,zip_derived_cl5831]) ).
thf(zip_derived_cl32855,plain,
! [X0: $i] :
( ( in @ empty_set @ ( sk__17 @ sk__14 ) )
| ~ ( ordinal @ ( sk__17 @ sk__14 ) )
| ~ ( empty @ X0 )
| ~ ( empty @ X0 )
| ~ ( ordinal @ ( sk__15 @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl29878,zip_derived_cl5834]) ).
thf(zip_derived_cl4437_108,plain,
ordinal @ ( sk__17 @ sk__14 ),
inference(clc,[status(thm)],[zip_derived_cl4428,zip_derived_cl982]) ).
thf(zip_derived_cl33426,plain,
! [X0: $i] :
( ( in @ empty_set @ ( sk__17 @ sk__14 ) )
| ~ ( empty @ X0 )
| ~ ( empty @ X0 )
| ~ ( ordinal @ ( sk__15 @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl32855,zip_derived_cl4437]) ).
thf(zip_derived_cl33427,plain,
! [X0: $i] :
( ~ ( ordinal @ ( sk__15 @ X0 ) )
| ~ ( empty @ X0 )
| ( in @ empty_set @ ( sk__17 @ sk__14 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl33426]) ).
thf(zip_derived_cl33887,plain,
! [X0: $i] :
( ~ ( in @ X0 @ sk__14 )
| ~ ( empty @ X0 )
| ( in @ empty_set @ ( sk__17 @ sk__14 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1011,zip_derived_cl33427]) ).
thf(zip_derived_cl33920,plain,
( ( empty @ sk__14 )
| ~ ( empty @ ( sk__17 @ sk__14 ) )
| ( in @ empty_set @ ( sk__17 @ sk__14 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl757,zip_derived_cl33887]) ).
thf(zip_derived_cl11_109,plain,
! [X0: $i] :
( ( ordinal @ X0 )
| ~ ( empty @ X0 ) ),
inference(cnf,[status(esa)],[cc3_ordinal1]) ).
thf(zip_derived_cl3802_110,plain,
! [X0: $i] :
( ( empty_set = X0 )
| ( in @ empty_set @ X0 )
| ~ ( ordinal @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl3792,zip_derived_cl24]) ).
thf(zip_derived_cl33887_111,plain,
! [X0: $i] :
( ~ ( in @ X0 @ sk__14 )
| ~ ( empty @ X0 )
| ( in @ empty_set @ ( sk__17 @ sk__14 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1011,zip_derived_cl33427]) ).
thf(zip_derived_cl33910,plain,
( ~ ( ordinal @ sk__14 )
| ( empty_set = sk__14 )
| ~ ( empty @ empty_set )
| ( in @ empty_set @ ( sk__17 @ sk__14 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl3802,zip_derived_cl33887]) ).
thf(zip_derived_cl22_112,plain,
empty @ empty_set,
inference(cnf,[status(esa)],[fc12_relat_1]) ).
thf(zip_derived_cl33928,plain,
( ~ ( ordinal @ sk__14 )
| ( empty_set = sk__14 )
| ( in @ empty_set @ ( sk__17 @ sk__14 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl33910,zip_derived_cl22]) ).
thf(zip_derived_cl77_113,plain,
sk__14 != empty_set,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl33929,plain,
( ~ ( ordinal @ sk__14 )
| ( in @ empty_set @ ( sk__17 @ sk__14 ) ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl33928,zip_derived_cl77]) ).
thf(zip_derived_cl33937,plain,
( ~ ( empty @ sk__14 )
| ( in @ empty_set @ ( sk__17 @ sk__14 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl11,zip_derived_cl33929]) ).
thf(zip_derived_cl34293,plain,
( ( in @ empty_set @ ( sk__17 @ sk__14 ) )
| ~ ( empty @ ( sk__17 @ sk__14 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl33920,zip_derived_cl33937]) ).
thf(zip_derived_cl86_114,plain,
! [X0: $i,X1: $i] :
( ~ ( in @ X0 @ X1 )
| ~ ( empty @ X1 ) ),
inference(cnf,[status(esa)],[t7_boole]) ).
thf(zip_derived_cl34294,plain,
~ ( empty @ ( sk__17 @ sk__14 ) ),
inference(clc,[status(thm)],[zip_derived_cl34293,zip_derived_cl86]) ).
thf(zip_derived_cl34305,plain,
( ( empty_set = sk__14 )
| ~ ( ordinal @ sk__14 )
| ~ ( empty @ empty_set ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl4513,zip_derived_cl34294]) ).
thf(zip_derived_cl22_115,plain,
empty @ empty_set,
inference(cnf,[status(esa)],[fc12_relat_1]) ).
thf(zip_derived_cl34318,plain,
( ( empty_set = sk__14 )
| ~ ( ordinal @ sk__14 ) ),
inference(demod,[status(thm)],[zip_derived_cl34305,zip_derived_cl22]) ).
thf(zip_derived_cl77_116,plain,
sk__14 != empty_set,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl34319,plain,
~ ( ordinal @ sk__14 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl34318,zip_derived_cl77]) ).
thf(zip_derived_cl34326,plain,
~ ( empty @ sk__14 ),
inference('s_sup-',[status(thm)],[zip_derived_cl11,zip_derived_cl34319]) ).
thf(zip_derived_cl78268,plain,
( ( sk__15 @ ( sk__17 @ sk__14 ) )
= ( sk__17 @ sk__14 ) ),
inference(demod,[status(thm)],[zip_derived_cl78234,zip_derived_cl34326]) ).
thf(zip_derived_cl78268_117,plain,
( ( sk__15 @ ( sk__17 @ sk__14 ) )
= ( sk__17 @ sk__14 ) ),
inference(demod,[status(thm)],[zip_derived_cl78234,zip_derived_cl34326]) ).
thf(zip_derived_cl78268_118,plain,
( ( sk__15 @ ( sk__17 @ sk__14 ) )
= ( sk__17 @ sk__14 ) ),
inference(demod,[status(thm)],[zip_derived_cl78234,zip_derived_cl34326]) ).
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_cl78268_119,plain,
( ( sk__15 @ ( sk__17 @ sk__14 ) )
= ( sk__17 @ sk__14 ) ),
inference(demod,[status(thm)],[zip_derived_cl78234,zip_derived_cl34326]) ).
thf(zip_derived_cl78268_120,plain,
( ( sk__15 @ ( sk__17 @ sk__14 ) )
= ( sk__17 @ sk__14 ) ),
inference(demod,[status(thm)],[zip_derived_cl78234,zip_derived_cl34326]) ).
thf(zip_derived_cl4437_121,plain,
ordinal @ ( sk__17 @ sk__14 ),
inference(clc,[status(thm)],[zip_derived_cl4428,zip_derived_cl982]) ).
thf(zip_derived_cl78268_122,plain,
( ( sk__15 @ ( sk__17 @ sk__14 ) )
= ( sk__17 @ sk__14 ) ),
inference(demod,[status(thm)],[zip_derived_cl78234,zip_derived_cl34326]) ).
thf(zip_derived_cl4437_123,plain,
ordinal @ ( sk__17 @ sk__14 ),
inference(clc,[status(thm)],[zip_derived_cl4428,zip_derived_cl982]) ).
thf(zip_derived_cl78322,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl5094,zip_derived_cl78268,zip_derived_cl78268,zip_derived_cl78268,zip_derived_cl70,zip_derived_cl78268,zip_derived_cl78268,zip_derived_cl4437,zip_derived_cl78268,zip_derived_cl4437]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : SEU235+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.15 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.wDgYRVowtB true
% 0.14/0.36 % Computer : n018.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Wed Aug 23 14:09:57 EDT 2023
% 0.14/0.37 % CPUTime :
% 0.14/0.37 % Running portfolio for 300 s
% 0.14/0.37 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.37 % Number of cores: 8
% 0.14/0.37 % Python version: Python 3.6.8
% 0.14/0.37 % Running in FO mode
% 0.22/0.68 % Total configuration time : 435
% 0.22/0.68 % Estimated wc time : 1092
% 0.22/0.68 % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.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/fo1_av.sh running for 75s
% 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/fo7.sh running for 63s
% 0.22/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.22/0.79 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 93.37/14.11 % Solved by fo/fo6_bce.sh.
% 93.37/14.11 % BCE start: 90
% 93.37/14.11 % BCE eliminated: 8
% 93.37/14.11 % PE start: 82
% 93.37/14.11 logic: eq
% 93.37/14.11 % PE eliminated: 2
% 93.37/14.11 % done 5881 iterations in 13.356s
% 93.37/14.11 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 93.37/14.11 % SZS output start Refutation
% See solution above
% 93.37/14.12
% 93.37/14.12
% 93.37/14.13 % /export/starexec/sandbox2/solver/bin/fo/fo1_lcnf.sh running for 50s
% 93.37/14.13 % Terminating...
% 94.56/14.21 % Runner terminated.
% 94.56/14.22 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------