TSTP Solution File: SEU291+1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU291+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.KJZAmQn9uO true
% Computer : n013.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 19:11:51 EDT 2023
% Result : Theorem 0.21s 0.84s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 29
% Syntax : Number of formulae : 104 ( 17 unt; 18 typ; 0 def)
% Number of atoms : 226 ( 99 equ; 0 cnn)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 659 ( 99 ~; 103 |; 12 &; 420 @)
% ( 6 <=>; 19 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 29 ( 29 >; 0 *; 0 +; 0 <<)
% Number of symbols : 18 ( 16 usr; 6 con; 0-3 aty)
% Number of variables : 111 ( 0 ^; 111 !; 0 ?; 111 :)
% Comments :
%------------------------------------------------------------------------------
thf(empty_set_type,type,
empty_set: $i ).
thf(sk__18_type,type,
sk__18: $i ).
thf(function_type,type,
function: $i > $o ).
thf(sk__19_type,type,
sk__19: $i ).
thf(powerset_type,type,
powerset: $i > $i ).
thf(quasi_total_type,type,
quasi_total: $i > $i > $i > $o ).
thf(subset_type,type,
subset: $i > $i > $o ).
thf(element_type,type,
element: $i > $i > $o ).
thf(relation_of2_as_subset_type,type,
relation_of2_as_subset: $i > $i > $i > $o ).
thf(relation_dom_as_subset_type,type,
relation_dom_as_subset: $i > $i > $i > $i ).
thf(sk__20_type,type,
sk__20: $i ).
thf(relation_dom_type,type,
relation_dom: $i > $i ).
thf(zip_tseitin_0_type,type,
zip_tseitin_0: $i > $i > $o ).
thf(zip_tseitin_1_type,type,
zip_tseitin_1: $i > $i > $i > $o ).
thf(relation_of2_type,type,
relation_of2: $i > $i > $i > $o ).
thf(sk__17_type,type,
sk__17: $i ).
thf(t9_funct_2,conjecture,
! [A: $i,B: $i,C: $i,D: $i] :
( ( ( function @ D )
& ( quasi_total @ D @ A @ B )
& ( relation_of2_as_subset @ D @ A @ B ) )
=> ( ( subset @ B @ C )
=> ( ( ( B = empty_set )
& ( A != empty_set ) )
| ( ( function @ D )
& ( quasi_total @ D @ A @ C )
& ( relation_of2_as_subset @ D @ A @ C ) ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [A: $i,B: $i,C: $i,D: $i] :
( ( ( function @ D )
& ( quasi_total @ D @ A @ B )
& ( relation_of2_as_subset @ D @ A @ B ) )
=> ( ( subset @ B @ C )
=> ( ( ( B = empty_set )
& ( A != empty_set ) )
| ( ( function @ D )
& ( quasi_total @ D @ A @ C )
& ( relation_of2_as_subset @ D @ A @ C ) ) ) ) ),
inference('cnf.neg',[status(esa)],[t9_funct_2]) ).
thf(zip_derived_cl86,plain,
relation_of2_as_subset @ sk__20 @ sk__17 @ sk__18,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl87,plain,
quasi_total @ sk__20 @ sk__17 @ sk__18,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(d1_funct_2,axiom,
! [A: $i,B: $i,C: $i] :
( ( relation_of2_as_subset @ C @ A @ B )
=> ( ( ( B = empty_set )
=> ( ( ( quasi_total @ C @ A @ B )
<=> ( C = empty_set ) )
| ( A = empty_set ) ) )
& ( ( ( B = empty_set )
=> ( A = empty_set ) )
=> ( ( quasi_total @ C @ A @ B )
<=> ( A
= ( relation_dom_as_subset @ A @ B @ C ) ) ) ) ) ) ).
thf(zf_stmt_1,axiom,
! [B: $i,A: $i] :
( ( ( B = empty_set )
=> ( A = empty_set ) )
=> ( zip_tseitin_0 @ B @ A ) ) ).
thf(zip_derived_cl8,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_0 @ X0 @ X1 )
| ( X0 = empty_set ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zf_stmt_2,type,
zip_tseitin_1: $i > $i > $i > $o ).
thf(zf_stmt_3,axiom,
! [C: $i,B: $i,A: $i] :
( ( zip_tseitin_1 @ C @ B @ A )
=> ( ( quasi_total @ C @ A @ B )
<=> ( A
= ( relation_dom_as_subset @ A @ B @ C ) ) ) ) ).
thf(zf_stmt_4,type,
zip_tseitin_0: $i > $i > $o ).
thf(zf_stmt_5,axiom,
! [A: $i,B: $i,C: $i] :
( ( relation_of2_as_subset @ C @ A @ B )
=> ( ( ( zip_tseitin_0 @ B @ A )
=> ( zip_tseitin_1 @ C @ B @ A ) )
& ( ( B = empty_set )
=> ( ( A = empty_set )
| ( ( quasi_total @ C @ A @ B )
<=> ( C = empty_set ) ) ) ) ) ) ).
thf(zip_derived_cl11,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( zip_tseitin_0 @ X0 @ X1 )
| ( zip_tseitin_1 @ X2 @ X0 @ X1 )
| ~ ( relation_of2_as_subset @ X2 @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_5]) ).
thf(zip_derived_cl349,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = empty_set )
| ~ ( relation_of2_as_subset @ X2 @ X0 @ X1 )
| ( zip_tseitin_1 @ X2 @ X1 @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl8,zip_derived_cl11]) ).
thf(zip_derived_cl10,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( quasi_total @ X0 @ X1 @ X2 )
| ( X1
= ( relation_dom_as_subset @ X1 @ X2 @ X0 ) )
| ~ ( zip_tseitin_1 @ X0 @ X2 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(zip_derived_cl353,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( relation_of2_as_subset @ X2 @ X1 @ X0 )
| ( X0 = empty_set )
| ( X1
= ( relation_dom_as_subset @ X1 @ X0 @ X2 ) )
| ~ ( quasi_total @ X2 @ X1 @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl349,zip_derived_cl10]) ).
thf(zip_derived_cl387,plain,
( ( sk__17
= ( relation_dom_as_subset @ sk__17 @ sk__18 @ sk__20 ) )
| ( sk__18 = empty_set )
| ~ ( relation_of2_as_subset @ sk__20 @ sk__17 @ sk__18 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl87,zip_derived_cl353]) ).
thf(zip_derived_cl86_001,plain,
relation_of2_as_subset @ sk__20 @ sk__17 @ sk__18,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl699,plain,
( ( sk__17
= ( relation_dom_as_subset @ sk__17 @ sk__18 @ sk__20 ) )
| ( sk__18 = empty_set ) ),
inference(demod,[status(thm)],[zip_derived_cl387,zip_derived_cl86]) ).
thf(redefinition_m2_relset_1,axiom,
! [A: $i,B: $i,C: $i] :
( ( relation_of2_as_subset @ C @ A @ B )
<=> ( relation_of2 @ C @ A @ B ) ) ).
thf(zip_derived_cl71,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( relation_of2 @ X0 @ X1 @ X2 )
| ~ ( relation_of2_as_subset @ X0 @ X1 @ X2 ) ),
inference(cnf,[status(esa)],[redefinition_m2_relset_1]) ).
thf(redefinition_k4_relset_1,axiom,
! [A: $i,B: $i,C: $i] :
( ( relation_of2 @ C @ A @ B )
=> ( ( relation_dom_as_subset @ A @ B @ C )
= ( relation_dom @ C ) ) ) ).
thf(zip_derived_cl70,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( relation_dom_as_subset @ X1 @ X2 @ X0 )
= ( relation_dom @ X0 ) )
| ~ ( relation_of2 @ X0 @ X1 @ X2 ) ),
inference(cnf,[status(esa)],[redefinition_k4_relset_1]) ).
thf(zip_derived_cl371,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( relation_of2_as_subset @ X2 @ X1 @ X0 )
| ( ( relation_dom_as_subset @ X1 @ X0 @ X2 )
= ( relation_dom @ X2 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl71,zip_derived_cl70]) ).
thf(zip_derived_cl701,plain,
( ( sk__17
= ( relation_dom @ sk__20 ) )
| ( sk__18 = empty_set )
| ~ ( relation_of2_as_subset @ sk__20 @ sk__17 @ sk__18 ) ),
inference('sup+',[status(thm)],[zip_derived_cl699,zip_derived_cl371]) ).
thf(zip_derived_cl86_002,plain,
relation_of2_as_subset @ sk__20 @ sk__17 @ sk__18,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl703,plain,
( ( sk__17
= ( relation_dom @ sk__20 ) )
| ( sk__18 = empty_set ) ),
inference(demod,[status(thm)],[zip_derived_cl701,zip_derived_cl86]) ).
thf(zip_derived_cl90,plain,
subset @ sk__18 @ sk__19,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(t16_relset_1,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ( relation_of2_as_subset @ D @ C @ A )
=> ( ( subset @ A @ B )
=> ( relation_of2_as_subset @ D @ C @ B ) ) ) ).
thf(zip_derived_cl74,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( subset @ X0 @ X1 )
| ~ ( relation_of2_as_subset @ X2 @ X3 @ X0 )
| ( relation_of2_as_subset @ X2 @ X3 @ X1 ) ),
inference(cnf,[status(esa)],[t16_relset_1]) ).
thf(zip_derived_cl362,plain,
! [X0: $i,X1: $i] :
( ( relation_of2_as_subset @ X1 @ X0 @ sk__19 )
| ~ ( relation_of2_as_subset @ X1 @ X0 @ sk__18 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl90,zip_derived_cl74]) ).
thf(zip_derived_cl371_003,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( relation_of2_as_subset @ X2 @ X1 @ X0 )
| ( ( relation_dom_as_subset @ X1 @ X0 @ X2 )
= ( relation_dom @ X2 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl71,zip_derived_cl70]) ).
thf(zip_derived_cl349_004,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = empty_set )
| ~ ( relation_of2_as_subset @ X2 @ X0 @ X1 )
| ( zip_tseitin_1 @ X2 @ X1 @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl8,zip_derived_cl11]) ).
thf(zip_derived_cl9,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0
!= ( relation_dom_as_subset @ X0 @ X1 @ X2 ) )
| ( quasi_total @ X2 @ X0 @ X1 )
| ~ ( zip_tseitin_1 @ X2 @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(zip_derived_cl352,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( relation_of2_as_subset @ X2 @ X1 @ X0 )
| ( X0 = empty_set )
| ( quasi_total @ X2 @ X1 @ X0 )
| ( X1
!= ( relation_dom_as_subset @ X1 @ X0 @ X2 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl349,zip_derived_cl9]) ).
thf(zip_derived_cl85,plain,
( ~ ( function @ sk__20 )
| ~ ( quasi_total @ sk__20 @ sk__17 @ sk__19 )
| ~ ( relation_of2_as_subset @ sk__20 @ sk__17 @ sk__19 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl393,plain,
( ( sk__17
!= ( relation_dom_as_subset @ sk__17 @ sk__19 @ sk__20 ) )
| ( sk__19 = empty_set )
| ~ ( relation_of2_as_subset @ sk__20 @ sk__17 @ sk__19 )
| ~ ( relation_of2_as_subset @ sk__20 @ sk__17 @ sk__19 )
| ~ ( function @ sk__20 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl352,zip_derived_cl85]) ).
thf(zip_derived_cl725,plain,
( ~ ( function @ sk__20 )
| ~ ( relation_of2_as_subset @ sk__20 @ sk__17 @ sk__19 )
| ( sk__19 = empty_set )
| ( sk__17
!= ( relation_dom_as_subset @ sk__17 @ sk__19 @ sk__20 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl393]) ).
thf(zip_derived_cl88,plain,
function @ sk__20,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl726,plain,
( ~ ( relation_of2_as_subset @ sk__20 @ sk__17 @ sk__19 )
| ( sk__19 = empty_set )
| ( sk__17
!= ( relation_dom_as_subset @ sk__17 @ sk__19 @ sk__20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl725,zip_derived_cl88]) ).
thf(zip_derived_cl727,plain,
( ( sk__17
!= ( relation_dom @ sk__20 ) )
| ~ ( relation_of2_as_subset @ sk__20 @ sk__17 @ sk__19 )
| ( sk__19 = empty_set )
| ~ ( relation_of2_as_subset @ sk__20 @ sk__17 @ sk__19 ) ),
inference('sup-',[status(thm)],[zip_derived_cl371,zip_derived_cl726]) ).
thf(zip_derived_cl728,plain,
( ( sk__19 = empty_set )
| ~ ( relation_of2_as_subset @ sk__20 @ sk__17 @ sk__19 )
| ( sk__17
!= ( relation_dom @ sk__20 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl727]) ).
thf(zip_derived_cl777,plain,
( ~ ( relation_of2_as_subset @ sk__20 @ sk__17 @ sk__18 )
| ( sk__17
!= ( relation_dom @ sk__20 ) )
| ( sk__19 = empty_set ) ),
inference('sup-',[status(thm)],[zip_derived_cl362,zip_derived_cl728]) ).
thf(zip_derived_cl86_005,plain,
relation_of2_as_subset @ sk__20 @ sk__17 @ sk__18,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl778,plain,
( ( sk__17
!= ( relation_dom @ sk__20 ) )
| ( sk__19 = empty_set ) ),
inference(demod,[status(thm)],[zip_derived_cl777,zip_derived_cl86]) ).
thf(zip_derived_cl781,plain,
( ( sk__17 != sk__17 )
| ( sk__18 = empty_set )
| ( sk__19 = empty_set ) ),
inference('sup-',[status(thm)],[zip_derived_cl703,zip_derived_cl778]) ).
thf(zip_derived_cl782,plain,
( ( sk__19 = empty_set )
| ( sk__18 = empty_set ) ),
inference(simplify,[status(thm)],[zip_derived_cl781]) ).
thf(zip_derived_cl90_006,plain,
subset @ sk__18 @ sk__19,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(t3_xboole_1,axiom,
! [A: $i] :
( ( subset @ A @ empty_set )
=> ( A = empty_set ) ) ).
thf(zip_derived_cl79,plain,
! [X0: $i] :
( ( X0 = empty_set )
| ~ ( subset @ X0 @ empty_set ) ),
inference(cnf,[status(esa)],[t3_xboole_1]) ).
thf(zip_derived_cl366,plain,
! [X0: $i] :
( ( sk__18 != X0 )
| ( sk__19 != empty_set )
| ( X0 = empty_set ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl90,zip_derived_cl79]) ).
thf(zip_derived_cl785,plain,
! [X0: $i] :
( ( empty_set != empty_set )
| ( sk__18 = empty_set )
| ( X0 = empty_set )
| ( sk__18 != X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl782,zip_derived_cl366]) ).
thf(zip_derived_cl799,plain,
! [X0: $i] :
( ( sk__18 != X0 )
| ( X0 = empty_set )
| ( sk__18 = empty_set ) ),
inference(simplify,[status(thm)],[zip_derived_cl785]) ).
thf(zip_derived_cl804,plain,
( ( sk__18 = empty_set )
| ( sk__18 = empty_set ) ),
inference(eq_res,[status(thm)],[zip_derived_cl799]) ).
thf(zip_derived_cl805,plain,
sk__18 = empty_set,
inference(simplify,[status(thm)],[zip_derived_cl804]) ).
thf(zip_derived_cl806,plain,
relation_of2_as_subset @ sk__20 @ sk__17 @ empty_set,
inference(demod,[status(thm)],[zip_derived_cl86,zip_derived_cl805]) ).
thf(zip_derived_cl89,plain,
( ( sk__18 != empty_set )
| ( sk__17 = empty_set ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl805_007,plain,
sk__18 = empty_set,
inference(simplify,[status(thm)],[zip_derived_cl804]) ).
thf(zip_derived_cl807,plain,
( ( empty_set != empty_set )
| ( sk__17 = empty_set ) ),
inference(demod,[status(thm)],[zip_derived_cl89,zip_derived_cl805]) ).
thf(zip_derived_cl808,plain,
sk__17 = empty_set,
inference(simplify,[status(thm)],[zip_derived_cl807]) ).
thf(zip_derived_cl7,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_0 @ X0 @ X1 )
| ( X1 != empty_set ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl11_008,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( zip_tseitin_0 @ X0 @ X1 )
| ( zip_tseitin_1 @ X2 @ X0 @ X1 )
| ~ ( relation_of2_as_subset @ X2 @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_5]) ).
thf(zip_derived_cl348,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 != empty_set )
| ~ ( relation_of2_as_subset @ X2 @ X0 @ X1 )
| ( zip_tseitin_1 @ X2 @ X1 @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl7,zip_derived_cl11]) ).
thf(zip_derived_cl9_009,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0
!= ( relation_dom_as_subset @ X0 @ X1 @ X2 ) )
| ( quasi_total @ X2 @ X0 @ X1 )
| ~ ( zip_tseitin_1 @ X2 @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(zip_derived_cl350,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( relation_of2_as_subset @ X2 @ X0 @ X1 )
| ( X0 != empty_set )
| ( quasi_total @ X2 @ X0 @ X1 )
| ( X0
!= ( relation_dom_as_subset @ X0 @ X1 @ X2 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl348,zip_derived_cl9]) ).
thf(zip_derived_cl85_010,plain,
( ~ ( function @ sk__20 )
| ~ ( quasi_total @ sk__20 @ sk__17 @ sk__19 )
| ~ ( relation_of2_as_subset @ sk__20 @ sk__17 @ sk__19 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl389,plain,
( ( sk__17
!= ( relation_dom_as_subset @ sk__17 @ sk__19 @ sk__20 ) )
| ( sk__17 != empty_set )
| ~ ( relation_of2_as_subset @ sk__20 @ sk__17 @ sk__19 )
| ~ ( relation_of2_as_subset @ sk__20 @ sk__17 @ sk__19 )
| ~ ( function @ sk__20 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl350,zip_derived_cl85]) ).
thf(zip_derived_cl681,plain,
( ~ ( function @ sk__20 )
| ~ ( relation_of2_as_subset @ sk__20 @ sk__17 @ sk__19 )
| ( sk__17 != empty_set )
| ( sk__17
!= ( relation_dom_as_subset @ sk__17 @ sk__19 @ sk__20 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl389]) ).
thf(zip_derived_cl682,plain,
( ~ ( function @ sk__20 )
| ~ ( relation_of2_as_subset @ sk__20 @ empty_set @ sk__19 )
| ( sk__17 != empty_set )
| ( empty_set
!= ( relation_dom_as_subset @ empty_set @ sk__19 @ sk__20 ) ) ),
inference(local_rewriting,[status(thm)],[zip_derived_cl681]) ).
thf(zip_derived_cl88_011,plain,
function @ sk__20,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl683,plain,
( ~ ( relation_of2_as_subset @ sk__20 @ empty_set @ sk__19 )
| ( sk__17 != empty_set )
| ( empty_set
!= ( relation_dom_as_subset @ empty_set @ sk__19 @ sk__20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl682,zip_derived_cl88]) ).
thf(zip_derived_cl71_012,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( relation_of2 @ X0 @ X1 @ X2 )
| ~ ( relation_of2_as_subset @ X0 @ X1 @ X2 ) ),
inference(cnf,[status(esa)],[redefinition_m2_relset_1]) ).
thf(dt_k4_relset_1,axiom,
! [A: $i,B: $i,C: $i] :
( ( relation_of2 @ C @ A @ B )
=> ( element @ ( relation_dom_as_subset @ A @ B @ C ) @ ( powerset @ A ) ) ) ).
thf(zip_derived_cl18,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( element @ ( relation_dom_as_subset @ X0 @ X1 @ X2 ) @ ( powerset @ X0 ) )
| ~ ( relation_of2 @ X2 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[dt_k4_relset_1]) ).
thf(zip_derived_cl370,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( relation_of2_as_subset @ X2 @ X1 @ X0 )
| ( element @ ( relation_dom_as_subset @ X1 @ X0 @ X2 ) @ ( powerset @ X1 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl71,zip_derived_cl18]) ).
thf(t3_subset,axiom,
! [A: $i,B: $i] :
( ( element @ A @ ( powerset @ B ) )
<=> ( subset @ A @ B ) ) ).
thf(zip_derived_cl77,plain,
! [X0: $i,X1: $i] :
( ( subset @ X0 @ X1 )
| ~ ( element @ X0 @ ( powerset @ X1 ) ) ),
inference(cnf,[status(esa)],[t3_subset]) ).
thf(zip_derived_cl79_013,plain,
! [X0: $i] :
( ( X0 = empty_set )
| ~ ( subset @ X0 @ empty_set ) ),
inference(cnf,[status(esa)],[t3_xboole_1]) ).
thf(zip_derived_cl361,plain,
! [X0: $i] :
( ~ ( element @ X0 @ ( powerset @ empty_set ) )
| ( X0 = empty_set ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl77,zip_derived_cl79]) ).
thf(zip_derived_cl543,plain,
! [X0: $i,X1: $i] :
( ~ ( relation_of2_as_subset @ X0 @ empty_set @ X1 )
| ( ( relation_dom_as_subset @ empty_set @ X1 @ X0 )
= empty_set ) ),
inference('sup-',[status(thm)],[zip_derived_cl370,zip_derived_cl361]) ).
thf(zip_derived_cl684,plain,
( ( sk__17 != empty_set )
| ~ ( relation_of2_as_subset @ sk__20 @ empty_set @ sk__19 ) ),
inference(clc,[status(thm)],[zip_derived_cl683,zip_derived_cl543]) ).
thf(zip_derived_cl362_014,plain,
! [X0: $i,X1: $i] :
( ( relation_of2_as_subset @ X1 @ X0 @ sk__19 )
| ~ ( relation_of2_as_subset @ X1 @ X0 @ sk__18 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl90,zip_derived_cl74]) ).
thf(zip_derived_cl685,plain,
( ( sk__17 != empty_set )
| ~ ( relation_of2_as_subset @ sk__20 @ empty_set @ sk__18 ) ),
inference('sup+',[status(thm)],[zip_derived_cl684,zip_derived_cl362]) ).
thf(zip_derived_cl805_015,plain,
sk__18 = empty_set,
inference(simplify,[status(thm)],[zip_derived_cl804]) ).
thf(zip_derived_cl826,plain,
( ( sk__17 != empty_set )
| ~ ( relation_of2_as_subset @ sk__20 @ empty_set @ empty_set ) ),
inference(demod,[status(thm)],[zip_derived_cl685,zip_derived_cl805]) ).
thf(zip_derived_cl808_016,plain,
sk__17 = empty_set,
inference(simplify,[status(thm)],[zip_derived_cl807]) ).
thf(zip_derived_cl842,plain,
( ( empty_set != empty_set )
| ~ ( relation_of2_as_subset @ sk__20 @ empty_set @ empty_set ) ),
inference(demod,[status(thm)],[zip_derived_cl826,zip_derived_cl808]) ).
thf(zip_derived_cl843,plain,
~ ( relation_of2_as_subset @ sk__20 @ empty_set @ empty_set ),
inference(simplify,[status(thm)],[zip_derived_cl842]) ).
thf(zip_derived_cl849,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl806,zip_derived_cl808,zip_derived_cl843]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SEU291+1 : TPTP v8.1.2. Released v3.3.0.
% 0.13/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.KJZAmQn9uO true
% 0.13/0.35 % Computer : n013.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.21/0.35 % DateTime : Wed Aug 23 16:36:02 EDT 2023
% 0.21/0.36 % CPUTime :
% 0.21/0.36 % Running portfolio for 300 s
% 0.21/0.36 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.36 % Number of cores: 8
% 0.21/0.36 % Python version: Python 3.6.8
% 0.21/0.36 % Running in FO mode
% 0.21/0.68 % Total configuration time : 435
% 0.21/0.68 % Estimated wc time : 1092
% 0.21/0.68 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.74 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.74 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.75 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.76 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.76 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.76 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.77 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.21/0.84 % Solved by fo/fo3_bce.sh.
% 0.21/0.84 % BCE start: 91
% 0.21/0.84 % BCE eliminated: 6
% 0.21/0.84 % PE start: 85
% 0.21/0.84 logic: eq
% 0.21/0.84 % PE eliminated: 0
% 0.21/0.84 % done 259 iterations in 0.074s
% 0.21/0.84 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.21/0.84 % SZS output start Refutation
% See solution above
% 0.21/0.84
% 0.21/0.84
% 0.21/0.85 % Terminating...
% 1.60/0.87 % Runner terminated.
% 1.60/0.88 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------