TSTP Solution File: NUM401+1 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUM401+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.bIWnwqhS5u true
% Computer : n009.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 12:41:15 EDT 2023
% Result : Theorem 40.94s 6.46s
% Output : Refutation 41.05s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 31
% Syntax : Number of formulae : 145 ( 39 unt; 14 typ; 0 def)
% Number of atoms : 332 ( 34 equ; 0 cnn)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 867 ( 127 ~; 168 |; 10 &; 539 @)
% ( 10 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 17 ( 17 >; 0 *; 0 +; 0 <<)
% Number of symbols : 16 ( 14 usr; 3 con; 0-2 aty)
% Number of variables : 125 ( 0 ^; 125 !; 0 ?; 125 :)
% Comments :
%------------------------------------------------------------------------------
thf(epsilon_transitive_type,type,
epsilon_transitive: $i > $o ).
thf(singleton_type,type,
singleton: $i > $i ).
thf(set_union2_type,type,
set_union2: $i > $i > $i ).
thf(ordinal_subset_type,type,
ordinal_subset: $i > $i > $o ).
thf(element_type,type,
element: $i > $i > $o ).
thf(in_type,type,
in: $i > $i > $o ).
thf(subset_type,type,
subset: $i > $i > $o ).
thf(powerset_type,type,
powerset: $i > $i ).
thf(sk__18_type,type,
sk__18: $i ).
thf(succ_type,type,
succ: $i > $i ).
thf(epsilon_connected_type,type,
epsilon_connected: $i > $o ).
thf(ordinal_type,type,
ordinal: $i > $o ).
thf(empty_type,type,
empty: $i > $o ).
thf(sk__17_type,type,
sk__17: $i ).
thf(t34_ordinal1,conjecture,
! [A: $i] :
( ( ordinal @ A )
=> ! [B: $i] :
( ( ordinal @ B )
=> ( ( in @ A @ ( succ @ B ) )
<=> ( ordinal_subset @ A @ B ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [A: $i] :
( ( ordinal @ A )
=> ! [B: $i] :
( ( ordinal @ B )
=> ( ( in @ A @ ( succ @ B ) )
<=> ( ordinal_subset @ A @ B ) ) ) ),
inference('cnf.neg',[status(esa)],[t34_ordinal1]) ).
thf(zip_derived_cl103,plain,
( ~ ( ordinal_subset @ sk__17 @ sk__18 )
| ~ ( in @ sk__17 @ ( succ @ sk__18 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl102,plain,
( ( ordinal_subset @ sk__17 @ sk__18 )
| ( in @ sk__17 @ ( succ @ sk__18 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(d1_ordinal1,axiom,
! [A: $i] :
( ( succ @ A )
= ( set_union2 @ A @ ( singleton @ A ) ) ) ).
thf(zip_derived_cl17,plain,
! [X0: $i] :
( ( succ @ X0 )
= ( set_union2 @ X0 @ ( singleton @ X0 ) ) ),
inference(cnf,[status(esa)],[d1_ordinal1]) ).
thf(d2_xboole_0,axiom,
! [A: $i,B: $i,C: $i] :
( ( C
= ( set_union2 @ A @ B ) )
<=> ! [D: $i] :
( ( in @ D @ C )
<=> ( ( in @ D @ A )
| ( in @ D @ B ) ) ) ) ).
thf(zip_derived_cl27,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( in @ X0 @ X1 )
| ( in @ X0 @ X2 )
| ( in @ X0 @ X3 )
| ( X1
!= ( set_union2 @ X2 @ X3 ) ) ),
inference(cnf,[status(esa)],[d2_xboole_0]) ).
thf(zip_derived_cl815,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( in @ X1 @ X0 )
| ( in @ X1 @ X2 )
| ~ ( in @ X1 @ ( set_union2 @ X2 @ X0 ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl27]) ).
thf(zip_derived_cl6214,plain,
! [X0: $i,X1: $i] :
( ~ ( in @ X1 @ ( succ @ X0 ) )
| ( in @ X1 @ X0 )
| ( in @ X1 @ ( singleton @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl17,zip_derived_cl815]) ).
thf(zip_derived_cl6256,plain,
( ( ordinal_subset @ sk__17 @ sk__18 )
| ( in @ sk__17 @ ( singleton @ sk__18 ) )
| ( in @ sk__17 @ sk__18 ) ),
inference('sup-',[status(thm)],[zip_derived_cl102,zip_derived_cl6214]) ).
thf(d1_tarski,axiom,
! [A: $i,B: $i] :
( ( B
= ( singleton @ A ) )
<=> ! [C: $i] :
( ( in @ C @ B )
<=> ( C = A ) ) ) ).
thf(zip_derived_cl19,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( in @ X0 @ X1 )
| ( X0 = X2 )
| ( X1
!= ( singleton @ X2 ) ) ),
inference(cnf,[status(esa)],[d1_tarski]) ).
thf(zip_derived_cl314,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ ( in @ X0 @ ( singleton @ X1 ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl19]) ).
thf(zip_derived_cl41277,plain,
( ( in @ sk__17 @ sk__18 )
| ( ordinal_subset @ sk__17 @ sk__18 )
| ( sk__17 = sk__18 ) ),
inference('sup-',[status(thm)],[zip_derived_cl6256,zip_derived_cl314]) ).
thf(d2_ordinal1,axiom,
! [A: $i] :
( ( epsilon_transitive @ A )
<=> ! [B: $i] :
( ( in @ B @ A )
=> ( subset @ B @ A ) ) ) ).
thf(zip_derived_cl22,plain,
! [X0: $i,X1: $i] :
( ~ ( in @ X0 @ X1 )
| ( subset @ X0 @ X1 )
| ~ ( epsilon_transitive @ X1 ) ),
inference(cnf,[status(esa)],[d2_ordinal1]) ).
thf(zip_derived_cl41291,plain,
( ( sk__17 = sk__18 )
| ( ordinal_subset @ sk__17 @ sk__18 )
| ~ ( epsilon_transitive @ sk__18 )
| ( subset @ sk__17 @ sk__18 ) ),
inference('sup-',[status(thm)],[zip_derived_cl41277,zip_derived_cl22]) ).
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_cl104,plain,
ordinal @ sk__18,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl135,plain,
epsilon_transitive @ sk__18,
inference('sup+',[status(thm)],[zip_derived_cl2,zip_derived_cl104]) ).
thf(zip_derived_cl41319,plain,
( ( sk__17 = sk__18 )
| ( ordinal_subset @ sk__17 @ sk__18 )
| ( subset @ sk__17 @ sk__18 ) ),
inference(demod,[status(thm)],[zip_derived_cl41291,zip_derived_cl135]) ).
thf(d10_xboole_0,axiom,
! [A: $i,B: $i] :
( ( A = B )
<=> ( ( subset @ A @ B )
& ( subset @ B @ A ) ) ) ).
thf(zip_derived_cl14,plain,
! [X0: $i,X1: $i] :
( ( subset @ X0 @ X1 )
| ( X0 != X1 ) ),
inference(cnf,[status(esa)],[d10_xboole_0]) ).
thf(zip_derived_cl41462,plain,
( ( subset @ sk__17 @ sk__18 )
| ( ordinal_subset @ sk__17 @ sk__18 ) ),
inference(clc,[status(thm)],[zip_derived_cl41319,zip_derived_cl14]) ).
thf(redefinition_r1_ordinal1,axiom,
! [A: $i,B: $i] :
( ( ( ordinal @ A )
& ( ordinal @ B ) )
=> ( ( ordinal_subset @ A @ B )
<=> ( subset @ A @ B ) ) ) ).
thf(zip_derived_cl92,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_cl41464,plain,
( ( ordinal_subset @ sk__17 @ sk__18 )
| ( ordinal_subset @ sk__17 @ sk__18 )
| ~ ( ordinal @ sk__18 )
| ~ ( ordinal @ sk__17 ) ),
inference('sup-',[status(thm)],[zip_derived_cl41462,zip_derived_cl92]) ).
thf(zip_derived_cl104_001,plain,
ordinal @ sk__18,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl101,plain,
ordinal @ sk__17,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl41478,plain,
( ( ordinal_subset @ sk__17 @ sk__18 )
| ( ordinal_subset @ sk__17 @ sk__18 ) ),
inference(demod,[status(thm)],[zip_derived_cl41464,zip_derived_cl104,zip_derived_cl101]) ).
thf(zip_derived_cl41479,plain,
ordinal_subset @ sk__17 @ sk__18,
inference(simplify,[status(thm)],[zip_derived_cl41478]) ).
thf(zip_derived_cl41487,plain,
~ ( in @ sk__17 @ ( succ @ sk__18 ) ),
inference(demod,[status(thm)],[zip_derived_cl103,zip_derived_cl41479]) ).
thf(t24_ordinal1,axiom,
! [A: $i] :
( ( ordinal @ A )
=> ! [B: $i] :
( ( ordinal @ B )
=> ~ ( ~ ( in @ A @ B )
& ( A != B )
& ~ ( in @ B @ A ) ) ) ) ).
thf(zip_derived_cl99,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_cl22_002,plain,
! [X0: $i,X1: $i] :
( ~ ( in @ X0 @ X1 )
| ( subset @ X0 @ X1 )
| ~ ( epsilon_transitive @ X1 ) ),
inference(cnf,[status(esa)],[d2_ordinal1]) ).
thf(zip_derived_cl1245,plain,
! [X0: $i,X1: $i] :
( ~ ( ordinal @ X1 )
| ( in @ X0 @ X1 )
| ( X1 = X0 )
| ~ ( ordinal @ X0 )
| ~ ( epsilon_transitive @ X0 )
| ( subset @ X1 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl99,zip_derived_cl22]) ).
thf(zip_derived_cl14_003,plain,
! [X0: $i,X1: $i] :
( ( subset @ X0 @ X1 )
| ( X0 != X1 ) ),
inference(cnf,[status(esa)],[d10_xboole_0]) ).
thf(zip_derived_cl24909,plain,
! [X0: $i,X1: $i] :
( ( subset @ X1 @ X0 )
| ~ ( epsilon_transitive @ X0 )
| ~ ( ordinal @ X0 )
| ( in @ X0 @ X1 )
| ~ ( ordinal @ X1 ) ),
inference(clc,[status(thm)],[zip_derived_cl1245,zip_derived_cl14]) ).
thf(zip_derived_cl2_004,plain,
! [X0: $i] :
( ( epsilon_transitive @ X0 )
| ~ ( ordinal @ X0 ) ),
inference(cnf,[status(esa)],[cc1_ordinal1]) ).
thf(zip_derived_cl24910,plain,
! [X0: $i,X1: $i] :
( ~ ( ordinal @ X1 )
| ( in @ X0 @ X1 )
| ~ ( ordinal @ X0 )
| ( subset @ X1 @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl24909,zip_derived_cl2]) ).
thf(fc3_ordinal1,axiom,
! [A: $i] :
( ( ordinal @ A )
=> ( ~ ( empty @ ( succ @ A ) )
& ( epsilon_transitive @ ( succ @ A ) )
& ( epsilon_connected @ ( succ @ A ) )
& ( ordinal @ ( succ @ A ) ) ) ) ).
thf(zip_derived_cl50,plain,
! [X0: $i] :
( ( ordinal @ ( succ @ X0 ) )
| ~ ( ordinal @ X0 ) ),
inference(cnf,[status(esa)],[fc3_ordinal1]) ).
thf(zip_derived_cl50_005,plain,
! [X0: $i] :
( ( ordinal @ ( succ @ X0 ) )
| ~ ( ordinal @ X0 ) ),
inference(cnf,[status(esa)],[fc3_ordinal1]) ).
thf(zip_derived_cl48,plain,
! [X0: $i] :
( ( epsilon_transitive @ ( succ @ X0 ) )
| ~ ( ordinal @ X0 ) ),
inference(cnf,[status(esa)],[fc3_ordinal1]) ).
thf(t10_ordinal1,axiom,
! [A: $i] : ( in @ A @ ( succ @ A ) ) ).
thf(zip_derived_cl95,plain,
! [X0: $i] : ( in @ X0 @ ( succ @ X0 ) ),
inference(cnf,[status(esa)],[t10_ordinal1]) ).
thf(zip_derived_cl22_006,plain,
! [X0: $i,X1: $i] :
( ~ ( in @ X0 @ X1 )
| ( subset @ X0 @ X1 )
| ~ ( epsilon_transitive @ X1 ) ),
inference(cnf,[status(esa)],[d2_ordinal1]) ).
thf(zip_derived_cl315,plain,
! [X0: $i] :
( ~ ( epsilon_transitive @ ( succ @ X0 ) )
| ( subset @ X0 @ ( succ @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl95,zip_derived_cl22]) ).
thf(zip_derived_cl928,plain,
! [X0: $i] :
( ~ ( ordinal @ X0 )
| ( subset @ X0 @ ( succ @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl48,zip_derived_cl315]) ).
thf(connectedness_r1_ordinal1,axiom,
! [A: $i,B: $i] :
( ( ( ordinal @ A )
& ( ordinal @ B ) )
=> ( ( ordinal_subset @ A @ B )
| ( ordinal_subset @ B @ A ) ) ) ).
thf(zip_derived_cl13,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_cl104_007,plain,
ordinal @ sk__18,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl284,plain,
! [X0: $i] :
( ( ordinal_subset @ X0 @ sk__18 )
| ( ordinal_subset @ sk__18 @ X0 )
| ~ ( ordinal @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl13,zip_derived_cl104]) ).
thf(zip_derived_cl91,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_cl673,plain,
! [X0: $i] :
( ~ ( ordinal @ X0 )
| ( ordinal_subset @ sk__18 @ X0 )
| ( subset @ X0 @ sk__18 )
| ~ ( ordinal @ sk__18 )
| ~ ( ordinal @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl284,zip_derived_cl91]) ).
thf(zip_derived_cl104_008,plain,
ordinal @ sk__18,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl683,plain,
! [X0: $i] :
( ~ ( ordinal @ X0 )
| ( ordinal_subset @ sk__18 @ X0 )
| ( subset @ X0 @ sk__18 )
| ~ ( ordinal @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl673,zip_derived_cl104]) ).
thf(zip_derived_cl684,plain,
! [X0: $i] :
( ( subset @ X0 @ sk__18 )
| ( ordinal_subset @ sk__18 @ X0 )
| ~ ( ordinal @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl683]) ).
thf(zip_derived_cl16,plain,
! [X0: $i,X1: $i] :
( ( X1 = X0 )
| ~ ( subset @ X0 @ X1 )
| ~ ( subset @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[d10_xboole_0]) ).
thf(zip_derived_cl769,plain,
! [X0: $i] :
( ~ ( ordinal @ X0 )
| ( ordinal_subset @ sk__18 @ X0 )
| ~ ( subset @ sk__18 @ X0 )
| ( sk__18 = X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl684,zip_derived_cl16]) ).
thf(zip_derived_cl1183,plain,
( ~ ( ordinal @ sk__18 )
| ( sk__18
= ( succ @ sk__18 ) )
| ( ordinal_subset @ sk__18 @ ( succ @ sk__18 ) )
| ~ ( ordinal @ ( succ @ sk__18 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl928,zip_derived_cl769]) ).
thf(zip_derived_cl104_009,plain,
ordinal @ sk__18,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1192,plain,
( ( sk__18
= ( succ @ sk__18 ) )
| ( ordinal_subset @ sk__18 @ ( succ @ sk__18 ) )
| ~ ( ordinal @ ( succ @ sk__18 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1183,zip_derived_cl104]) ).
thf(t14_ordinal1,axiom,
! [A: $i] :
( A
!= ( succ @ A ) ) ).
thf(zip_derived_cl96,plain,
! [X0: $i] :
( X0
!= ( succ @ X0 ) ),
inference(cnf,[status(esa)],[t14_ordinal1]) ).
thf(zip_derived_cl1193,plain,
( ( ordinal_subset @ sk__18 @ ( succ @ sk__18 ) )
| ~ ( ordinal @ ( succ @ sk__18 ) ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1192,zip_derived_cl96]) ).
thf(zip_derived_cl1220,plain,
( ~ ( ordinal @ sk__18 )
| ( ordinal_subset @ sk__18 @ ( succ @ sk__18 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl50,zip_derived_cl1193]) ).
thf(zip_derived_cl104_010,plain,
ordinal @ sk__18,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1225,plain,
ordinal_subset @ sk__18 @ ( succ @ sk__18 ),
inference(demod,[status(thm)],[zip_derived_cl1220,zip_derived_cl104]) ).
thf(zip_derived_cl91_011,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_cl1228,plain,
( ( subset @ sk__18 @ ( succ @ sk__18 ) )
| ~ ( ordinal @ ( succ @ sk__18 ) )
| ~ ( ordinal @ sk__18 ) ),
inference('sup-',[status(thm)],[zip_derived_cl1225,zip_derived_cl91]) ).
thf(zip_derived_cl104_012,plain,
ordinal @ sk__18,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1235,plain,
( ( subset @ sk__18 @ ( succ @ sk__18 ) )
| ~ ( ordinal @ ( succ @ sk__18 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1228,zip_derived_cl104]) ).
thf(zip_derived_cl1357,plain,
( ~ ( ordinal @ sk__18 )
| ( subset @ sk__18 @ ( succ @ sk__18 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl50,zip_derived_cl1235]) ).
thf(zip_derived_cl104_013,plain,
ordinal @ sk__18,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1362,plain,
subset @ sk__18 @ ( succ @ sk__18 ),
inference(demod,[status(thm)],[zip_derived_cl1357,zip_derived_cl104]) ).
thf(t3_subset,axiom,
! [A: $i,B: $i] :
( ( element @ A @ ( powerset @ B ) )
<=> ( subset @ A @ B ) ) ).
thf(zip_derived_cl106,plain,
! [X0: $i,X1: $i] :
( ( element @ X0 @ ( powerset @ X1 ) )
| ~ ( subset @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[t3_subset]) ).
thf(zip_derived_cl1367,plain,
element @ sk__18 @ ( powerset @ ( succ @ sk__18 ) ),
inference('sup-',[status(thm)],[zip_derived_cl1362,zip_derived_cl106]) ).
thf(t4_subset,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( in @ A @ B )
& ( element @ B @ ( powerset @ C ) ) )
=> ( element @ A @ C ) ) ).
thf(zip_derived_cl107,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_cl1440,plain,
! [X0: $i] :
( ( element @ X0 @ ( succ @ sk__18 ) )
| ~ ( in @ X0 @ sk__18 ) ),
inference('sup-',[status(thm)],[zip_derived_cl1367,zip_derived_cl107]) ).
thf(zip_derived_cl24956,plain,
! [X0: $i] :
( ( subset @ sk__18 @ X0 )
| ~ ( ordinal @ X0 )
| ~ ( ordinal @ sk__18 )
| ( element @ X0 @ ( succ @ sk__18 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl24910,zip_derived_cl1440]) ).
thf(zip_derived_cl104_014,plain,
ordinal @ sk__18,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl25053,plain,
! [X0: $i] :
( ( subset @ sk__18 @ X0 )
| ~ ( ordinal @ X0 )
| ( element @ X0 @ ( succ @ sk__18 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl24956,zip_derived_cl104]) ).
thf(t2_subset,axiom,
! [A: $i,B: $i] :
( ( element @ A @ B )
=> ( ( empty @ B )
| ( in @ A @ B ) ) ) ).
thf(zip_derived_cl100,plain,
! [X0: $i,X1: $i] :
( ( in @ X0 @ X1 )
| ( empty @ X1 )
| ~ ( element @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[t2_subset]) ).
thf(zip_derived_cl28779,plain,
! [X0: $i] :
( ~ ( ordinal @ X0 )
| ( subset @ sk__18 @ X0 )
| ( empty @ ( succ @ sk__18 ) )
| ( in @ X0 @ ( succ @ sk__18 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl25053,zip_derived_cl100]) ).
thf(fc1_ordinal1,axiom,
! [A: $i] :
~ ( empty @ ( succ @ A ) ) ).
thf(zip_derived_cl35,plain,
! [X0: $i] :
~ ( empty @ ( succ @ X0 ) ),
inference(cnf,[status(esa)],[fc1_ordinal1]) ).
thf(zip_derived_cl28784,plain,
! [X0: $i] :
( ~ ( ordinal @ X0 )
| ( subset @ sk__18 @ X0 )
| ( in @ X0 @ ( succ @ sk__18 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl28779,zip_derived_cl35]) ).
thf(zip_derived_cl103_015,plain,
( ~ ( ordinal_subset @ sk__17 @ sk__18 )
| ~ ( in @ sk__17 @ ( succ @ sk__18 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl28841,plain,
( ( subset @ sk__18 @ sk__17 )
| ~ ( ordinal @ sk__17 )
| ~ ( ordinal_subset @ sk__17 @ sk__18 ) ),
inference('sup-',[status(thm)],[zip_derived_cl28784,zip_derived_cl103]) ).
thf(zip_derived_cl101_016,plain,
ordinal @ sk__17,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl28847,plain,
( ( subset @ sk__18 @ sk__17 )
| ~ ( ordinal_subset @ sk__17 @ sk__18 ) ),
inference(demod,[status(thm)],[zip_derived_cl28841,zip_derived_cl101]) ).
thf(zip_derived_cl684_017,plain,
! [X0: $i] :
( ( subset @ X0 @ sk__18 )
| ( ordinal_subset @ sk__18 @ X0 )
| ~ ( ordinal @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl683]) ).
thf(zip_derived_cl13_018,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_cl101_019,plain,
ordinal @ sk__17,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl283,plain,
! [X0: $i] :
( ( ordinal_subset @ X0 @ sk__17 )
| ( ordinal_subset @ sk__17 @ X0 )
| ~ ( ordinal @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl13,zip_derived_cl101]) ).
thf(zip_derived_cl91_020,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_cl607,plain,
! [X0: $i] :
( ~ ( ordinal @ X0 )
| ( ordinal_subset @ sk__17 @ X0 )
| ( subset @ X0 @ sk__17 )
| ~ ( ordinal @ sk__17 )
| ~ ( ordinal @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl283,zip_derived_cl91]) ).
thf(zip_derived_cl101_021,plain,
ordinal @ sk__17,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl617,plain,
! [X0: $i] :
( ~ ( ordinal @ X0 )
| ( ordinal_subset @ sk__17 @ X0 )
| ( subset @ X0 @ sk__17 )
| ~ ( ordinal @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl607,zip_derived_cl101]) ).
thf(zip_derived_cl618,plain,
! [X0: $i] :
( ( subset @ X0 @ sk__17 )
| ( ordinal_subset @ sk__17 @ X0 )
| ~ ( ordinal @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl617]) ).
thf(zip_derived_cl16_022,plain,
! [X0: $i,X1: $i] :
( ( X1 = X0 )
| ~ ( subset @ X0 @ X1 )
| ~ ( subset @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[d10_xboole_0]) ).
thf(zip_derived_cl656,plain,
! [X0: $i] :
( ~ ( ordinal @ X0 )
| ( ordinal_subset @ sk__17 @ X0 )
| ~ ( subset @ sk__17 @ X0 )
| ( sk__17 = X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl618,zip_derived_cl16]) ).
thf(zip_derived_cl936,plain,
( ~ ( ordinal @ sk__17 )
| ( ordinal_subset @ sk__18 @ sk__17 )
| ( sk__17 = sk__18 )
| ( ordinal_subset @ sk__17 @ sk__18 )
| ~ ( ordinal @ sk__18 ) ),
inference('sup-',[status(thm)],[zip_derived_cl684,zip_derived_cl656]) ).
thf(zip_derived_cl101_023,plain,
ordinal @ sk__17,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl104_024,plain,
ordinal @ sk__18,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl944,plain,
( ( ordinal_subset @ sk__18 @ sk__17 )
| ( sk__17 = sk__18 )
| ( ordinal_subset @ sk__17 @ sk__18 ) ),
inference(demod,[status(thm)],[zip_derived_cl936,zip_derived_cl101,zip_derived_cl104]) ).
thf(zip_derived_cl91_025,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_cl946,plain,
( ( ordinal_subset @ sk__17 @ sk__18 )
| ( sk__17 = sk__18 )
| ( subset @ sk__18 @ sk__17 )
| ~ ( ordinal @ sk__17 )
| ~ ( ordinal @ sk__18 ) ),
inference('sup-',[status(thm)],[zip_derived_cl944,zip_derived_cl91]) ).
thf(zip_derived_cl101_026,plain,
ordinal @ sk__17,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl104_027,plain,
ordinal @ sk__18,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl951,plain,
( ( ordinal_subset @ sk__17 @ sk__18 )
| ( sk__17 = sk__18 )
| ( subset @ sk__18 @ sk__17 ) ),
inference(demod,[status(thm)],[zip_derived_cl946,zip_derived_cl101,zip_derived_cl104]) ).
thf(zip_derived_cl14_028,plain,
! [X0: $i,X1: $i] :
( ( subset @ X0 @ X1 )
| ( X0 != X1 ) ),
inference(cnf,[status(esa)],[d10_xboole_0]) ).
thf(zip_derived_cl1113,plain,
( ( subset @ sk__18 @ sk__17 )
| ( ordinal_subset @ sk__17 @ sk__18 ) ),
inference(clc,[status(thm)],[zip_derived_cl951,zip_derived_cl14]) ).
thf(zip_derived_cl29000,plain,
subset @ sk__18 @ sk__17,
inference(clc,[status(thm)],[zip_derived_cl28847,zip_derived_cl1113]) ).
thf(zip_derived_cl16_029,plain,
! [X0: $i,X1: $i] :
( ( X1 = X0 )
| ~ ( subset @ X0 @ X1 )
| ~ ( subset @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[d10_xboole_0]) ).
thf(zip_derived_cl29001,plain,
( ~ ( subset @ sk__17 @ sk__18 )
| ( sk__17 = sk__18 ) ),
inference('sup-',[status(thm)],[zip_derived_cl29000,zip_derived_cl16]) ).
thf(zip_derived_cl41479_030,plain,
ordinal_subset @ sk__17 @ sk__18,
inference(simplify,[status(thm)],[zip_derived_cl41478]) ).
thf(zip_derived_cl91_031,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_cl41492,plain,
( ( subset @ sk__17 @ sk__18 )
| ~ ( ordinal @ sk__18 )
| ~ ( ordinal @ sk__17 ) ),
inference('sup-',[status(thm)],[zip_derived_cl41479,zip_derived_cl91]) ).
thf(zip_derived_cl104_032,plain,
ordinal @ sk__18,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl101_033,plain,
ordinal @ sk__17,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl41497,plain,
subset @ sk__17 @ sk__18,
inference(demod,[status(thm)],[zip_derived_cl41492,zip_derived_cl104,zip_derived_cl101]) ).
thf(zip_derived_cl41498,plain,
sk__17 = sk__18,
inference(demod,[status(thm)],[zip_derived_cl29001,zip_derived_cl41497]) ).
thf(zip_derived_cl95_034,plain,
! [X0: $i] : ( in @ X0 @ ( succ @ X0 ) ),
inference(cnf,[status(esa)],[t10_ordinal1]) ).
thf(zip_derived_cl41911,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl41487,zip_derived_cl41498,zip_derived_cl95]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : NUM401+1 : TPTP v8.1.2. Released v3.2.0.
% 0.12/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.bIWnwqhS5u true
% 0.13/0.34 % Computer : n009.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Fri Aug 25 15:25:05 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.34 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % Running in FO mode
% 0.55/0.65 % Total configuration time : 435
% 0.55/0.65 % Estimated wc time : 1092
% 0.55/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.55/0.69 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.55/0.72 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.55/0.73 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.55/0.73 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.55/0.74 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.55/0.74 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.55/0.74 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 40.94/6.46 % Solved by fo/fo5.sh.
% 40.94/6.46 % done 6750 iterations in 5.700s
% 40.94/6.46 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 40.94/6.46 % SZS output start Refutation
% See solution above
% 41.05/6.46
% 41.05/6.46
% 41.05/6.46 % Terminating...
% 41.58/6.57 % Runner terminated.
% 41.58/6.57 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------