%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRA007+2 : TPTP v9.2.0. Bugfixed v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.IpfJT3nmiw true
% Computer : n017.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 Oct 2 04:35:11 PM UTC 2025
% Result : Theorem 8.05s 1.82s
% Output : Refutation 8.05s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 9
% Syntax : Number of formulae : 118 ( 44 unt; 0 typ; 0 def)
% Number of atoms : 329 ( 121 equ; 0 cnn)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 1101 ( 133 ~; 162 |; 31 &; 757 @)
% ( 2 <=>; 14 =>; 0 <=; 2 <~>)
% Maximal formula depth : 16 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 21 ( 19 usr; 7 con; 0-3 aty)
% Number of variables : 168 ( 0 ^; 161 !; 7 ?; 168 :)
% Comments :
%------------------------------------------------------------------------------
thf(sk__8_type,type,
sk__8: $i ).
thf(edge_type,type,
edge: $i > $o ).
thf(sequential_type,type,
sequential: $i > $i > $o ).
thf(length_of_type,type,
length_of: $i > $i ).
thf(sk__10_type,type,
sk__10: $i ).
thf(sk__11_type,type,
sk__11: $i ).
thf(in_path_type,type,
in_path: $i > $i > $o ).
thf(vertex_type,type,
vertex: $i > $o ).
thf(precedes_type,type,
precedes: $i > $i > $i > $o ).
thf(head_of_type,type,
head_of: $i > $i ).
thf(on_path_type,type,
on_path: $i > $i > $o ).
thf(shortest_path_type,type,
shortest_path: $i > $i > $i > $o ).
thf(sk__type,type,
sk_: $i > $i > $i ).
thf(less_or_equal_type,type,
less_or_equal: $i > $i > $o ).
thf(sk__9_type,type,
sk__9: $i ).
thf(tail_of_type,type,
tail_of: $i > $i ).
thf(path_type,type,
path: $i > $i > $i > $o ).
thf(sk__12_type,type,
sk__12: $i ).
thf(complete_type,type,
complete: $o ).
thf(back_edge,conjecture,
( complete
=> ! [V1: $i,V2: $i,E1: $i,E2: $i,P: $i] :
( ( ( shortest_path @ V1 @ V2 @ P )
& ( precedes @ E1 @ E2 @ P ) )
=> ? [E3: $i] :
( ( ( head_of @ E3 )
= ( tail_of @ E1 ) )
& ( ( tail_of @ E3 )
= ( head_of @ E2 ) )
& ( edge @ E3 ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ( complete
=> ! [V1: $i,V2: $i,E1: $i,E2: $i,P: $i] :
( ( ( shortest_path @ V1 @ V2 @ P )
& ( precedes @ E1 @ E2 @ P ) )
=> ? [E3: $i] :
( ( ( head_of @ E3 )
= ( tail_of @ E1 ) )
& ( ( tail_of @ E3 )
= ( head_of @ E2 ) )
& ( edge @ E3 ) ) ) ),
inference('cnf.neg',[status(esa)],[back_edge]) ).
thf(zip_derived_cl63,plain,
precedes @ sk__10 @ sk__11 @ sk__12,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(sequential_defn,axiom,
! [E1: $i,E2: $i] :
( ( sequential @ E1 @ E2 )
<=> ( ( edge @ E1 )
& ( edge @ E2 )
& ( E1 != E2 )
& ( ( head_of @ E1 )
= ( tail_of @ E2 ) ) ) ) ).
thf(zip_derived_cl30,plain,
! [X0: $i,X1: $i] :
( ( sequential @ X0 @ X1 )
| ( ( head_of @ X0 )
!= ( tail_of @ X1 ) )
| ( X0 = X1 )
| ~ ( edge @ X1 )
| ~ ( edge @ X0 ) ),
inference(cnf,[status(esa)],[sequential_defn]) ).
thf(zip_derived_cl63_001,plain,
precedes @ sk__10 @ sk__11 @ sk__12,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(shortest_path_properties,axiom,
! [V1: $i,V2: $i,E1: $i,E2: $i,P: $i] :
( ( ( shortest_path @ V1 @ V2 @ P )
& ( precedes @ E1 @ E2 @ P ) )
=> ( ~ ? [E3: $i] :
( ( ( head_of @ E3 )
= ( head_of @ E2 ) )
& ( ( tail_of @ E3 )
= ( tail_of @ E1 ) ) )
& ~ ( precedes @ E2 @ E1 @ P ) ) ) ).
thf(zip_derived_cl44,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ ( precedes @ X0 @ X1 @ X2 )
| ~ ( precedes @ X1 @ X0 @ X2 )
| ~ ( shortest_path @ X3 @ X4 @ X2 ) ),
inference(cnf,[status(esa)],[shortest_path_properties]) ).
thf(zip_derived_cl419,plain,
! [X0: $i,X1: $i] :
( ~ ( shortest_path @ X1 @ X0 @ sk__12 )
| ~ ( precedes @ sk__11 @ sk__10 @ sk__12 ) ),
inference('sup-',[status(thm)],[zip_derived_cl63,zip_derived_cl44]) ).
thf(zip_derived_cl62,plain,
shortest_path @ sk__8 @ sk__9 @ sk__12,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl421,plain,
~ ( precedes @ sk__11 @ sk__10 @ sk__12 ),
inference('sup+',[status(thm)],[zip_derived_cl419,zip_derived_cl62]) ).
thf(shortest_path_defn,axiom,
! [V1: $i,V2: $i,SP: $i] :
( ( shortest_path @ V1 @ V2 @ SP )
<=> ( ( path @ V1 @ V2 @ SP )
& ( V1 != V2 )
& ! [P: $i] :
( ( path @ V1 @ V2 @ P )
=> ( less_or_equal @ ( length_of @ SP ) @ ( length_of @ P ) ) ) ) ) ).
thf(zip_derived_cl38,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( path @ X0 @ X1 @ X2 )
| ~ ( shortest_path @ X0 @ X1 @ X2 ) ),
inference(cnf,[status(esa)],[shortest_path_defn]) ).
thf(zip_derived_cl62_002,plain,
shortest_path @ sk__8 @ sk__9 @ sk__12,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl417,plain,
path @ sk__8 @ sk__9 @ sk__12,
inference('sup+',[status(thm)],[zip_derived_cl38,zip_derived_cl62]) ).
thf(precedes_defn,axiom,
! [P: $i,V1: $i,V2: $i] :
( ( path @ V1 @ V2 @ P )
=> ! [E1: $i,E2: $i] :
( ( ( on_path @ E1 @ P )
& ( on_path @ E2 @ P )
& ( ( sequential @ E1 @ E2 )
| ? [E3: $i] :
( ( precedes @ E3 @ E2 @ P )
& ( sequential @ E1 @ E3 ) ) ) )
=> ( precedes @ E1 @ E2 @ P ) ) ) ).
thf(zip_derived_cl32,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( precedes @ X0 @ X1 @ X2 )
| ~ ( sequential @ X0 @ X1 )
| ~ ( on_path @ X1 @ X2 )
| ~ ( on_path @ X0 @ X2 )
| ~ ( path @ X3 @ X4 @ X2 ) ),
inference(cnf,[status(esa)],[precedes_defn]) ).
thf(zip_derived_cl518,plain,
! [X0: $i,X1: $i] :
( ~ ( on_path @ X0 @ sk__12 )
| ~ ( on_path @ X1 @ sk__12 )
| ~ ( sequential @ X0 @ X1 )
| ( precedes @ X0 @ X1 @ sk__12 ) ),
inference('sup-',[status(thm)],[zip_derived_cl417,zip_derived_cl32]) ).
thf(zip_derived_cl531,plain,
( ~ ( sequential @ sk__11 @ sk__10 )
| ~ ( on_path @ sk__10 @ sk__12 )
| ~ ( on_path @ sk__11 @ sk__12 ) ),
inference('sup+',[status(thm)],[zip_derived_cl421,zip_derived_cl518]) ).
thf(zip_derived_cl63_003,plain,
precedes @ sk__10 @ sk__11 @ sk__12,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(precedes_properties,axiom,
! [P: $i,V1: $i,V2: $i] :
( ( path @ V1 @ V2 @ P )
=> ! [E1: $i,E2: $i] :
( ( precedes @ E1 @ E2 @ P )
=> ( ( on_path @ E1 @ P )
& ( on_path @ E2 @ P )
& ( ( sequential @ E1 @ E2 )
<~> ? [E3: $i] :
( ( precedes @ E3 @ E2 @ P )
& ( sequential @ E1 @ E3 ) ) ) ) ) ) ).
thf(zip_derived_cl37,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ ( precedes @ X0 @ X1 @ X2 )
| ( on_path @ X0 @ X2 )
| ~ ( path @ X3 @ X4 @ X2 ) ),
inference(cnf,[status(esa)],[precedes_properties]) ).
thf(zip_derived_cl438,plain,
! [X0: $i,X1: $i] :
( ~ ( path @ X1 @ X0 @ sk__12 )
| ( on_path @ sk__10 @ sk__12 ) ),
inference('sup-',[status(thm)],[zip_derived_cl63,zip_derived_cl37]) ).
thf(zip_derived_cl417_004,plain,
path @ sk__8 @ sk__9 @ sk__12,
inference('sup+',[status(thm)],[zip_derived_cl38,zip_derived_cl62]) ).
thf(zip_derived_cl439,plain,
on_path @ sk__10 @ sk__12,
inference('sup+',[status(thm)],[zip_derived_cl438,zip_derived_cl417]) ).
thf(zip_derived_cl63_005,plain,
precedes @ sk__10 @ sk__11 @ sk__12,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl36,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ ( precedes @ X0 @ X1 @ X2 )
| ( on_path @ X1 @ X2 )
| ~ ( path @ X3 @ X4 @ X2 ) ),
inference(cnf,[status(esa)],[precedes_properties]) ).
thf(zip_derived_cl431,plain,
! [X0: $i,X1: $i] :
( ~ ( path @ X1 @ X0 @ sk__12 )
| ( on_path @ sk__11 @ sk__12 ) ),
inference('sup-',[status(thm)],[zip_derived_cl63,zip_derived_cl36]) ).
thf(zip_derived_cl417_006,plain,
path @ sk__8 @ sk__9 @ sk__12,
inference('sup+',[status(thm)],[zip_derived_cl38,zip_derived_cl62]) ).
thf(zip_derived_cl432,plain,
on_path @ sk__11 @ sk__12,
inference('sup+',[status(thm)],[zip_derived_cl431,zip_derived_cl417]) ).
thf(zip_derived_cl535,plain,
~ ( sequential @ sk__11 @ sk__10 ),
inference(demod,[status(thm)],[zip_derived_cl531,zip_derived_cl439,zip_derived_cl432]) ).
thf(zip_derived_cl542,plain,
( ~ ( edge @ sk__11 )
| ~ ( edge @ sk__10 )
| ( sk__11 = sk__10 )
| ( ( head_of @ sk__11 )
!= ( tail_of @ sk__10 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl30,zip_derived_cl535]) ).
thf(zip_derived_cl432_007,plain,
on_path @ sk__11 @ sk__12,
inference('sup+',[status(thm)],[zip_derived_cl431,zip_derived_cl417]) ).
thf(zip_derived_cl417_008,plain,
path @ sk__8 @ sk__9 @ sk__12,
inference('sup+',[status(thm)],[zip_derived_cl38,zip_derived_cl62]) ).
thf(on_path_properties,axiom,
! [V1: $i,V2: $i,P: $i,E: $i] :
( ( ( path @ V1 @ V2 @ P )
& ( on_path @ E @ P ) )
=> ( ( edge @ E )
& ( in_path @ ( head_of @ E ) @ P )
& ( in_path @ ( tail_of @ E ) @ P ) ) ) ).
thf(zip_derived_cl22,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( path @ X0 @ X1 @ X2 )
| ~ ( on_path @ X3 @ X2 )
| ( edge @ X3 ) ),
inference(cnf,[status(esa)],[on_path_properties]) ).
thf(zip_derived_cl424,plain,
! [X0: $i] :
( ( edge @ X0 )
| ~ ( on_path @ X0 @ sk__12 ) ),
inference('sup-',[status(thm)],[zip_derived_cl417,zip_derived_cl22]) ).
thf(zip_derived_cl434,plain,
edge @ sk__11,
inference('sup-',[status(thm)],[zip_derived_cl432,zip_derived_cl424]) ).
thf(zip_derived_cl439_009,plain,
on_path @ sk__10 @ sk__12,
inference('sup+',[status(thm)],[zip_derived_cl438,zip_derived_cl417]) ).
thf(zip_derived_cl424_010,plain,
! [X0: $i] :
( ( edge @ X0 )
| ~ ( on_path @ X0 @ sk__12 ) ),
inference('sup-',[status(thm)],[zip_derived_cl417,zip_derived_cl22]) ).
thf(zip_derived_cl441,plain,
edge @ sk__10,
inference('sup-',[status(thm)],[zip_derived_cl439,zip_derived_cl424]) ).
thf(zip_derived_cl543,plain,
( ( sk__11 = sk__10 )
| ( ( head_of @ sk__11 )
!= ( tail_of @ sk__10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl542,zip_derived_cl434,zip_derived_cl441]) ).
thf(zip_derived_cl60,plain,
complete,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(complete_properties,axiom,
( complete
=> ! [V1: $i,V2: $i] :
( ( ( vertex @ V1 )
& ( vertex @ V2 )
& ( V1 != V2 ) )
=> ? [E: $i] :
( ( ( ( V1
= ( head_of @ E ) )
& ( V2
= ( tail_of @ E ) ) )
<~> ( ( V2
= ( head_of @ E ) )
& ( V1
= ( tail_of @ E ) ) ) )
& ( edge @ E ) ) ) ) ).
thf(zip_derived_cl8,plain,
! [X0: $i,X1: $i] :
( ( edge @ ( sk_ @ X0 @ X1 ) )
| ( X1 = X0 )
| ~ ( vertex @ X0 )
| ~ ( vertex @ X1 )
| ~ complete ),
inference(cnf,[status(esa)],[complete_properties]) ).
thf(zip_derived_cl410,plain,
! [X0: $i,X1: $i] :
( ~ ( vertex @ X0 )
| ~ ( vertex @ X1 )
| ( X0 = X1 )
| ( edge @ ( sk_ @ X1 @ X0 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl60,zip_derived_cl8]) ).
thf(zip_derived_cl60_011,plain,
complete,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl4,plain,
! [X0: $i,X1: $i] :
( ( X1
= ( head_of @ ( sk_ @ X0 @ X1 ) ) )
| ( X1
= ( tail_of @ ( sk_ @ X0 @ X1 ) ) )
| ( X1 = X0 )
| ~ ( vertex @ X0 )
| ~ ( vertex @ X1 )
| ~ complete ),
inference(cnf,[status(esa)],[complete_properties]) ).
thf(zip_derived_cl407,plain,
! [X0: $i,X1: $i] :
( ~ ( vertex @ X0 )
| ~ ( vertex @ X1 )
| ( X0 = X1 )
| ( X0
= ( tail_of @ ( sk_ @ X1 @ X0 ) ) )
| ( X0
= ( head_of @ ( sk_ @ X1 @ X0 ) ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl60,zip_derived_cl4]) ).
thf(zip_derived_cl417_012,plain,
path @ sk__8 @ sk__9 @ sk__12,
inference('sup+',[status(thm)],[zip_derived_cl38,zip_derived_cl62]) ).
thf(zip_derived_cl20,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( path @ X0 @ X1 @ X2 )
| ~ ( on_path @ X3 @ X2 )
| ( in_path @ ( tail_of @ X3 ) @ X2 ) ),
inference(cnf,[status(esa)],[on_path_properties]) ).
thf(in_path_properties,axiom,
! [V1: $i,V2: $i,P: $i,V: $i] :
( ( ( path @ V1 @ V2 @ P )
& ( in_path @ V @ P ) )
=> ( ( vertex @ V )
& ? [E: $i] :
( ( ( V
= ( tail_of @ E ) )
| ( V
= ( head_of @ E ) ) )
& ( on_path @ E @ P ) ) ) ) ).
thf(zip_derived_cl25,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( path @ X0 @ X1 @ X2 )
| ~ ( in_path @ X3 @ X2 )
| ( vertex @ X3 ) ),
inference(cnf,[status(esa)],[in_path_properties]) ).
thf(zip_derived_cl402,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ~ ( on_path @ X3 @ X0 )
| ~ ( path @ X2 @ X1 @ X0 )
| ( vertex @ ( tail_of @ X3 ) )
| ~ ( path @ X5 @ X4 @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl20,zip_derived_cl25]) ).
thf(zip_derived_cl471,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( on_path @ X1 @ X0 )
| ~ ( path @ X3 @ X2 @ X0 )
| ( vertex @ ( tail_of @ X1 ) ) ),
inference(condensation,[status(thm)],[zip_derived_cl402]) ).
thf(zip_derived_cl472,plain,
! [X0: $i] :
( ( vertex @ ( tail_of @ X0 ) )
| ~ ( on_path @ X0 @ sk__12 ) ),
inference('sup-',[status(thm)],[zip_derived_cl417,zip_derived_cl471]) ).
thf(zip_derived_cl439_013,plain,
on_path @ sk__10 @ sk__12,
inference('sup+',[status(thm)],[zip_derived_cl438,zip_derived_cl417]) ).
thf(zip_derived_cl473,plain,
vertex @ ( tail_of @ sk__10 ),
inference('sup+',[status(thm)],[zip_derived_cl472,zip_derived_cl439]) ).
thf(zip_derived_cl417_014,plain,
path @ sk__8 @ sk__9 @ sk__12,
inference('sup+',[status(thm)],[zip_derived_cl38,zip_derived_cl62]) ).
thf(zip_derived_cl21,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( path @ X0 @ X1 @ X2 )
| ~ ( on_path @ X3 @ X2 )
| ( in_path @ ( head_of @ X3 ) @ X2 ) ),
inference(cnf,[status(esa)],[on_path_properties]) ).
thf(zip_derived_cl25_015,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( path @ X0 @ X1 @ X2 )
| ~ ( in_path @ X3 @ X2 )
| ( vertex @ X3 ) ),
inference(cnf,[status(esa)],[in_path_properties]) ).
thf(zip_derived_cl405,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ~ ( on_path @ X3 @ X0 )
| ~ ( path @ X2 @ X1 @ X0 )
| ( vertex @ ( head_of @ X3 ) )
| ~ ( path @ X5 @ X4 @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl21,zip_derived_cl25]) ).
thf(zip_derived_cl490,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( on_path @ X1 @ X0 )
| ~ ( path @ X3 @ X2 @ X0 )
| ( vertex @ ( head_of @ X1 ) ) ),
inference(condensation,[status(thm)],[zip_derived_cl405]) ).
thf(zip_derived_cl492,plain,
! [X0: $i] :
( ( vertex @ ( head_of @ X0 ) )
| ~ ( on_path @ X0 @ sk__12 ) ),
inference('sup-',[status(thm)],[zip_derived_cl417,zip_derived_cl490]) ).
thf(zip_derived_cl432_016,plain,
on_path @ sk__11 @ sk__12,
inference('sup+',[status(thm)],[zip_derived_cl431,zip_derived_cl417]) ).
thf(zip_derived_cl494,plain,
vertex @ ( head_of @ sk__11 ),
inference('sup+',[status(thm)],[zip_derived_cl492,zip_derived_cl432]) ).
thf(zip_derived_cl60_017,plain,
complete,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl6,plain,
! [X0: $i,X1: $i] :
( ( X1
= ( head_of @ ( sk_ @ X0 @ X1 ) ) )
| ( X0
= ( head_of @ ( sk_ @ X0 @ X1 ) ) )
| ( X1 = X0 )
| ~ ( vertex @ X0 )
| ~ ( vertex @ X1 )
| ~ complete ),
inference(cnf,[status(esa)],[complete_properties]) ).
thf(zip_derived_cl409,plain,
! [X0: $i,X1: $i] :
( ~ ( vertex @ X0 )
| ~ ( vertex @ X1 )
| ( X0 = X1 )
| ( X1
= ( head_of @ ( sk_ @ X1 @ X0 ) ) )
| ( X0
= ( head_of @ ( sk_ @ X1 @ X0 ) ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl60,zip_derived_cl6]) ).
thf(zip_derived_cl1251,plain,
! [X0: $i] :
( ( ( head_of @ sk__11 )
= ( head_of @ ( sk_ @ X0 @ ( head_of @ sk__11 ) ) ) )
| ( X0
= ( head_of @ ( sk_ @ X0 @ ( head_of @ sk__11 ) ) ) )
| ( ( head_of @ sk__11 )
= X0 )
| ~ ( vertex @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl494,zip_derived_cl409]) ).
thf(zip_derived_cl4780,plain,
( ( ( head_of @ sk__11 )
= ( tail_of @ sk__10 ) )
| ( ( tail_of @ sk__10 )
= ( head_of @ ( sk_ @ ( tail_of @ sk__10 ) @ ( head_of @ sk__11 ) ) ) )
| ( ( head_of @ sk__11 )
= ( head_of @ ( sk_ @ ( tail_of @ sk__10 ) @ ( head_of @ sk__11 ) ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl473,zip_derived_cl1251]) ).
thf(zip_derived_cl473_018,plain,
vertex @ ( tail_of @ sk__10 ),
inference('sup+',[status(thm)],[zip_derived_cl472,zip_derived_cl439]) ).
thf(zip_derived_cl494_019,plain,
vertex @ ( head_of @ sk__11 ),
inference('sup+',[status(thm)],[zip_derived_cl492,zip_derived_cl432]) ).
thf(zip_derived_cl60_020,plain,
complete,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3,plain,
! [X0: $i,X1: $i] :
( ( X0
= ( tail_of @ ( sk_ @ X0 @ X1 ) ) )
| ( X1
= ( tail_of @ ( sk_ @ X0 @ X1 ) ) )
| ( X1 = X0 )
| ~ ( vertex @ X0 )
| ~ ( vertex @ X1 )
| ~ complete ),
inference(cnf,[status(esa)],[complete_properties]) ).
thf(zip_derived_cl406,plain,
! [X0: $i,X1: $i] :
( ~ ( vertex @ X1 )
| ~ ( vertex @ X0 )
| ( X1 = X0 )
| ( X1
= ( tail_of @ ( sk_ @ X0 @ X1 ) ) )
| ( X0
= ( tail_of @ ( sk_ @ X0 @ X1 ) ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl60,zip_derived_cl3]) ).
thf(zip_derived_cl581,plain,
! [X0: $i] :
( ( X0
= ( tail_of @ ( sk_ @ X0 @ ( head_of @ sk__11 ) ) ) )
| ( ( head_of @ sk__11 )
= ( tail_of @ ( sk_ @ X0 @ ( head_of @ sk__11 ) ) ) )
| ( ( head_of @ sk__11 )
= X0 )
| ~ ( vertex @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl494,zip_derived_cl406]) ).
thf(zip_derived_cl2930,plain,
( ( ( head_of @ sk__11 )
= ( tail_of @ sk__10 ) )
| ( ( head_of @ sk__11 )
= ( tail_of @ ( sk_ @ ( tail_of @ sk__10 ) @ ( head_of @ sk__11 ) ) ) )
| ( ( tail_of @ sk__10 )
= ( tail_of @ ( sk_ @ ( tail_of @ sk__10 ) @ ( head_of @ sk__11 ) ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl473,zip_derived_cl581]) ).
thf(zip_derived_cl62_021,plain,
shortest_path @ sk__8 @ sk__9 @ sk__12,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl63_022,plain,
precedes @ sk__10 @ sk__11 @ sk__12,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl43,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( ( tail_of @ X1 )
!= ( tail_of @ X0 ) )
| ( ( head_of @ X1 )
!= ( head_of @ X2 ) )
| ~ ( precedes @ X0 @ X2 @ X3 )
| ~ ( shortest_path @ X4 @ X5 @ X3 ) ),
inference(cnf,[status(esa)],[shortest_path_properties]) ).
thf(zip_derived_cl414,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( shortest_path @ X1 @ X0 @ sk__12 )
| ( ( head_of @ X2 )
!= ( head_of @ sk__11 ) )
| ( ( tail_of @ X2 )
!= ( tail_of @ sk__10 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl63,zip_derived_cl43]) ).
thf(zip_derived_cl436,plain,
! [X0: $i] :
( ( ( tail_of @ X0 )
!= ( tail_of @ sk__10 ) )
| ( ( head_of @ X0 )
!= ( head_of @ sk__11 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl62,zip_derived_cl414]) ).
thf(zip_derived_cl5461,plain,
( ( ( tail_of @ sk__10 )
!= ( tail_of @ sk__10 ) )
| ( ( head_of @ sk__11 )
= ( tail_of @ ( sk_ @ ( tail_of @ sk__10 ) @ ( head_of @ sk__11 ) ) ) )
| ( ( head_of @ sk__11 )
= ( tail_of @ sk__10 ) )
| ( ( head_of @ ( sk_ @ ( tail_of @ sk__10 ) @ ( head_of @ sk__11 ) ) )
!= ( head_of @ sk__11 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl2930,zip_derived_cl436]) ).
thf(zip_derived_cl5476,plain,
( ( ( head_of @ ( sk_ @ ( tail_of @ sk__10 ) @ ( head_of @ sk__11 ) ) )
!= ( head_of @ sk__11 ) )
| ( ( head_of @ sk__11 )
= ( tail_of @ sk__10 ) )
| ( ( head_of @ sk__11 )
= ( tail_of @ ( sk_ @ ( tail_of @ sk__10 ) @ ( head_of @ sk__11 ) ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl5461]) ).
thf(zip_derived_cl60_023,plain,
complete,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl5,plain,
! [X0: $i,X1: $i] :
( ( X0
= ( tail_of @ ( sk_ @ X0 @ X1 ) ) )
| ( X0
= ( head_of @ ( sk_ @ X0 @ X1 ) ) )
| ( X1 = X0 )
| ~ ( vertex @ X0 )
| ~ ( vertex @ X1 )
| ~ complete ),
inference(cnf,[status(esa)],[complete_properties]) ).
thf(zip_derived_cl408,plain,
! [X0: $i,X1: $i] :
( ~ ( vertex @ X1 )
| ~ ( vertex @ X0 )
| ( X1 = X0 )
| ( X0
= ( head_of @ ( sk_ @ X0 @ X1 ) ) )
| ( X0
= ( tail_of @ ( sk_ @ X0 @ X1 ) ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl60,zip_derived_cl5]) ).
thf(zip_derived_cl5493,plain,
( ( ( tail_of @ sk__10 )
= ( head_of @ sk__11 ) )
| ( ( head_of @ sk__11 )
= ( tail_of @ sk__10 ) )
| ( ( head_of @ ( sk_ @ ( tail_of @ sk__10 ) @ ( head_of @ sk__11 ) ) )
!= ( head_of @ sk__11 ) )
| ( ( tail_of @ sk__10 )
= ( head_of @ ( sk_ @ ( tail_of @ sk__10 ) @ ( head_of @ sk__11 ) ) ) )
| ( ( head_of @ sk__11 )
= ( tail_of @ sk__10 ) )
| ~ ( vertex @ ( tail_of @ sk__10 ) )
| ~ ( vertex @ ( head_of @ sk__11 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl5476,zip_derived_cl408]) ).
thf(zip_derived_cl473_024,plain,
vertex @ ( tail_of @ sk__10 ),
inference('sup+',[status(thm)],[zip_derived_cl472,zip_derived_cl439]) ).
thf(zip_derived_cl494_025,plain,
vertex @ ( head_of @ sk__11 ),
inference('sup+',[status(thm)],[zip_derived_cl492,zip_derived_cl432]) ).
thf(zip_derived_cl5501,plain,
( ( ( tail_of @ sk__10 )
= ( head_of @ sk__11 ) )
| ( ( head_of @ sk__11 )
= ( tail_of @ sk__10 ) )
| ( ( head_of @ ( sk_ @ ( tail_of @ sk__10 ) @ ( head_of @ sk__11 ) ) )
!= ( head_of @ sk__11 ) )
| ( ( tail_of @ sk__10 )
= ( head_of @ ( sk_ @ ( tail_of @ sk__10 ) @ ( head_of @ sk__11 ) ) ) )
| ( ( head_of @ sk__11 )
= ( tail_of @ sk__10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl5493,zip_derived_cl473,zip_derived_cl494]) ).
thf(zip_derived_cl5502,plain,
( ( ( tail_of @ sk__10 )
= ( head_of @ ( sk_ @ ( tail_of @ sk__10 ) @ ( head_of @ sk__11 ) ) ) )
| ( ( head_of @ ( sk_ @ ( tail_of @ sk__10 ) @ ( head_of @ sk__11 ) ) )
!= ( head_of @ sk__11 ) )
| ( ( tail_of @ sk__10 )
= ( head_of @ sk__11 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl5501]) ).
thf(zip_derived_cl5503,plain,
( ( ( tail_of @ sk__10 )
= ( head_of @ sk__11 ) )
| ( ( head_of @ ( sk_ @ ( tail_of @ sk__10 ) @ ( head_of @ sk__11 ) ) )
!= ( head_of @ sk__11 ) )
| ( ( tail_of @ sk__10 )
= ( head_of @ sk__11 ) ) ),
inference(local_rewriting,[status(thm)],[zip_derived_cl5502]) ).
thf(zip_derived_cl5504,plain,
( ( ( head_of @ ( sk_ @ ( tail_of @ sk__10 ) @ ( head_of @ sk__11 ) ) )
!= ( head_of @ sk__11 ) )
| ( ( tail_of @ sk__10 )
= ( head_of @ sk__11 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl5503]) ).
thf(zip_derived_cl6495,plain,
( ( ( tail_of @ sk__10 )
= ( head_of @ ( sk_ @ ( tail_of @ sk__10 ) @ ( head_of @ sk__11 ) ) ) )
| ( ( head_of @ sk__11 )
= ( tail_of @ sk__10 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl4780,zip_derived_cl5504]) ).
thf(zip_derived_cl61,plain,
! [X0: $i] :
( ( ( head_of @ X0 )
!= ( tail_of @ sk__10 ) )
| ( ( tail_of @ X0 )
!= ( head_of @ sk__11 ) )
| ~ ( edge @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl6497,plain,
( ( ( tail_of @ sk__10 )
!= ( tail_of @ sk__10 ) )
| ( ( head_of @ sk__11 )
= ( tail_of @ sk__10 ) )
| ~ ( edge @ ( sk_ @ ( tail_of @ sk__10 ) @ ( head_of @ sk__11 ) ) )
| ( ( tail_of @ ( sk_ @ ( tail_of @ sk__10 ) @ ( head_of @ sk__11 ) ) )
!= ( head_of @ sk__11 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl6495,zip_derived_cl61]) ).
thf(zip_derived_cl6515,plain,
( ( ( tail_of @ ( sk_ @ ( tail_of @ sk__10 ) @ ( head_of @ sk__11 ) ) )
!= ( head_of @ sk__11 ) )
| ~ ( edge @ ( sk_ @ ( tail_of @ sk__10 ) @ ( head_of @ sk__11 ) ) )
| ( ( head_of @ sk__11 )
= ( tail_of @ sk__10 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl6497]) ).
thf(zip_derived_cl6526,plain,
( ( ( head_of @ sk__11 )
!= ( head_of @ sk__11 ) )
| ( ( head_of @ sk__11 )
= ( head_of @ ( sk_ @ ( tail_of @ sk__10 ) @ ( head_of @ sk__11 ) ) ) )
| ( ( head_of @ sk__11 )
= ( tail_of @ sk__10 ) )
| ~ ( vertex @ ( tail_of @ sk__10 ) )
| ~ ( vertex @ ( head_of @ sk__11 ) )
| ( ( head_of @ sk__11 )
= ( tail_of @ sk__10 ) )
| ~ ( edge @ ( sk_ @ ( tail_of @ sk__10 ) @ ( head_of @ sk__11 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl407,zip_derived_cl6515]) ).
thf(zip_derived_cl473_026,plain,
vertex @ ( tail_of @ sk__10 ),
inference('sup+',[status(thm)],[zip_derived_cl472,zip_derived_cl439]) ).
thf(zip_derived_cl494_027,plain,
vertex @ ( head_of @ sk__11 ),
inference('sup+',[status(thm)],[zip_derived_cl492,zip_derived_cl432]) ).
thf(zip_derived_cl6531,plain,
( ( ( head_of @ sk__11 )
!= ( head_of @ sk__11 ) )
| ( ( head_of @ sk__11 )
= ( head_of @ ( sk_ @ ( tail_of @ sk__10 ) @ ( head_of @ sk__11 ) ) ) )
| ( ( head_of @ sk__11 )
= ( tail_of @ sk__10 ) )
| ( ( head_of @ sk__11 )
= ( tail_of @ sk__10 ) )
| ~ ( edge @ ( sk_ @ ( tail_of @ sk__10 ) @ ( head_of @ sk__11 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6526,zip_derived_cl473,zip_derived_cl494]) ).
thf(zip_derived_cl6532,plain,
( ~ ( edge @ ( sk_ @ ( tail_of @ sk__10 ) @ ( head_of @ sk__11 ) ) )
| ( ( head_of @ sk__11 )
= ( tail_of @ sk__10 ) )
| ( ( head_of @ sk__11 )
= ( head_of @ ( sk_ @ ( tail_of @ sk__10 ) @ ( head_of @ sk__11 ) ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl6531]) ).
thf(zip_derived_cl5504_028,plain,
( ( ( head_of @ ( sk_ @ ( tail_of @ sk__10 ) @ ( head_of @ sk__11 ) ) )
!= ( head_of @ sk__11 ) )
| ( ( tail_of @ sk__10 )
= ( head_of @ sk__11 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl5503]) ).
thf(zip_derived_cl6535,plain,
( ( ( head_of @ sk__11 )
= ( tail_of @ sk__10 ) )
| ~ ( edge @ ( sk_ @ ( tail_of @ sk__10 ) @ ( head_of @ sk__11 ) ) ) ),
inference(clc,[status(thm)],[zip_derived_cl6532,zip_derived_cl5504]) ).
thf(zip_derived_cl6537,plain,
( ( ( head_of @ sk__11 )
= ( tail_of @ sk__10 ) )
| ~ ( vertex @ ( tail_of @ sk__10 ) )
| ~ ( vertex @ ( head_of @ sk__11 ) )
| ( ( head_of @ sk__11 )
= ( tail_of @ sk__10 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl410,zip_derived_cl6535]) ).
thf(zip_derived_cl473_029,plain,
vertex @ ( tail_of @ sk__10 ),
inference('sup+',[status(thm)],[zip_derived_cl472,zip_derived_cl439]) ).
thf(zip_derived_cl494_030,plain,
vertex @ ( head_of @ sk__11 ),
inference('sup+',[status(thm)],[zip_derived_cl492,zip_derived_cl432]) ).
thf(zip_derived_cl6538,plain,
( ( ( head_of @ sk__11 )
= ( tail_of @ sk__10 ) )
| ( ( head_of @ sk__11 )
= ( tail_of @ sk__10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6537,zip_derived_cl473,zip_derived_cl494]) ).
thf(zip_derived_cl6539,plain,
( ( head_of @ sk__11 )
= ( tail_of @ sk__10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl6538]) ).
thf(zip_derived_cl6546,plain,
( ( sk__11 = sk__10 )
| ( ( head_of @ sk__11 )
!= ( head_of @ sk__11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl543,zip_derived_cl6539]) ).
thf(zip_derived_cl6547,plain,
sk__11 = sk__10,
inference(simplify,[status(thm)],[zip_derived_cl6546]) ).
thf(zip_derived_cl62_031,plain,
shortest_path @ sk__8 @ sk__9 @ sk__12,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl44_032,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ ( precedes @ X0 @ X1 @ X2 )
| ~ ( precedes @ X1 @ X0 @ X2 )
| ~ ( shortest_path @ X3 @ X4 @ X2 ) ),
inference(cnf,[status(esa)],[shortest_path_properties]) ).
thf(zip_derived_cl420,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( shortest_path @ X3 @ X2 @ X0 )
| ~ ( precedes @ X1 @ X1 @ X0 ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl44]) ).
thf(zip_derived_cl443,plain,
! [X0: $i] :
~ ( precedes @ X0 @ X0 @ sk__12 ),
inference('sup-',[status(thm)],[zip_derived_cl62,zip_derived_cl420]) ).
thf(zip_derived_cl6704,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl63,zip_derived_cl6547,zip_derived_cl443]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.14 % Problem : GRA007+2 : TPTP v9.2.0. Bugfixed v3.2.0.
% 0.04/0.15 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.IpfJT3nmiw true
% 0.16/0.37 % Computer : n017.cluster.edu
% 0.16/0.37 % Model : x86_64 x86_64
% 0.16/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37 % Memory : 8042.1875MB
% 0.16/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37 % CPULimit : 300
% 0.16/0.37 % WCLimit : 300
% 0.16/0.37 % DateTime : Wed Oct 1 13:52:08 EDT 2025
% 0.24/0.37 % CPUTime :
% 0.24/0.37 % Running portfolio for 300 s
% 0.24/0.37 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.24/0.38 % Number of cores: 8
% 0.24/0.38 % Python version: Python 3.6.8
% 0.24/0.38 % Running in FO mode
% 0.58/0.69 % Total configuration time : 435
% 0.58/0.69 % Estimated wc time : 1092
% 0.58/0.69 % Estimated cpu time (7 cpus) : 156.0
% 0.58/0.77 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.58/0.79 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.58/0.80 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.58/0.82 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.59/0.82 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.59/0.82 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.59/0.82 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 8.05/1.82 % Solved by fo/fo3_bce.sh.
% 8.05/1.82 % BCE start: 64
% 8.05/1.82 % BCE eliminated: 1
% 8.05/1.82 % PE start: 63
% 8.05/1.82 logic: eq
% 8.05/1.82 % PE eliminated: 8
% 8.05/1.82 % done 1029 iterations in 1.001s
% 8.05/1.82 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 8.05/1.82 % SZS output start Refutation
% See solution above
% 8.05/1.82
% 8.05/1.82
% 8.05/1.82 % Terminating...
% 8.68/1.90 % Runner terminated.
% 8.68/1.91 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------