%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRA002+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.ZcMu084jMs true
% Computer : n007.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 04:35:10 PM UTC 2025
% Result : Theorem 46.49s 7.25s
% Output : Refutation 46.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 11
% Syntax : Number of formulae : 126 ( 51 unt; 0 typ; 0 def)
% Number of atoms : 333 ( 91 equ; 0 cnn)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 1360 ( 149 ~; 168 |; 22 &;1004 @)
% ( 3 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 27 ( 25 usr; 9 con; 0-3 aty)
% Number of variables : 204 ( 0 ^; 201 !; 3 ?; 204 :)
% Comments :
%------------------------------------------------------------------------------
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__7_type,type,
sk__7: $i > $i ).
thf(sk__8_type,type,
sk__8: $i > $i > $i ).
thf(in_path_type,type,
in_path: $i > $i > $o ).
thf(minus_type,type,
minus: $i > $i > $i ).
thf(graph_type,type,
graph: $i ).
thf(sk__11_type,type,
sk__11: $i ).
thf(precedes_type,type,
precedes: $i > $i > $i > $o ).
thf(number_of_in_type,type,
number_of_in: $i > $i > $i ).
thf(sk__9_type,type,
sk__9: $i ).
thf(head_of_type,type,
head_of: $i > $i ).
thf(sequential_pairs_type,type,
sequential_pairs: $i ).
thf(sk__10_type,type,
sk__10: $i ).
thf(on_path_type,type,
on_path: $i > $i > $o ).
thf(sk__6_type,type,
sk__6: $i > $i ).
thf(triangle_type,type,
triangle: $i > $i > $i > $o ).
thf(shortest_path_type,type,
shortest_path: $i > $i > $i > $o ).
thf(less_or_equal_type,type,
less_or_equal: $i > $i > $o ).
thf(n1_type,type,
n1: $i ).
thf(tail_of_type,type,
tail_of: $i > $i ).
thf(path_type,type,
path: $i > $i > $i > $o ).
thf(complete_type,type,
complete: $o ).
thf(triangles_type,type,
triangles: $i ).
thf(maximal_path_length,conjecture,
( complete
=> ! [P: $i,V1: $i,V2: $i] :
( ( shortest_path @ V1 @ V2 @ P )
=> ( less_or_equal @ ( minus @ ( length_of @ P ) @ n1 ) @ ( number_of_in @ triangles @ graph ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ( complete
=> ! [P: $i,V1: $i,V2: $i] :
( ( shortest_path @ V1 @ V2 @ P )
=> ( less_or_equal @ ( minus @ ( length_of @ P ) @ n1 ) @ ( number_of_in @ triangles @ graph ) ) ) ),
inference('cnf.neg',[status(esa)],[maximal_path_length]) ).
thf(zip_derived_cl64,plain,
shortest_path @ sk__10 @ sk__11 @ sk__9,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl64_001,plain,
shortest_path @ sk__10 @ sk__11 @ sk__9,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
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_cl71,plain,
path @ sk__10 @ sk__11 @ sk__9,
inference('sup-',[status(thm)],[zip_derived_cl64,zip_derived_cl38]) ).
thf(sequential_pairs_and_triangles,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] : ( triangle @ E1 @ E2 @ E3 ) ) )
=> ( ( number_of_in @ sequential_pairs @ P )
= ( number_of_in @ triangles @ P ) ) ) ).
thf(zip_derived_cl57,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( number_of_in @ sequential_pairs @ X0 )
= ( number_of_in @ triangles @ X0 ) )
| ( on_path @ ( sk__6 @ X0 ) @ X0 )
| ~ ( path @ X1 @ X2 @ X0 ) ),
inference(cnf,[status(esa)],[sequential_pairs_and_triangles]) ).
thf(zip_derived_cl151,plain,
( ( on_path @ ( sk__6 @ sk__9 ) @ sk__9 )
| ( ( number_of_in @ sequential_pairs @ sk__9 )
= ( number_of_in @ triangles @ sk__9 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl71,zip_derived_cl57]) ).
thf(graph_has_them_all,axiom,
! [Things: $i,InThese: $i] : ( less_or_equal @ ( number_of_in @ Things @ InThese ) @ ( number_of_in @ Things @ graph ) ) ).
thf(zip_derived_cl58,plain,
! [X0: $i,X1: $i] : ( less_or_equal @ ( number_of_in @ X0 @ X1 ) @ ( number_of_in @ X0 @ graph ) ),
inference(cnf,[status(esa)],[graph_has_them_all]) ).
thf(zip_derived_cl152,plain,
( ( less_or_equal @ ( number_of_in @ sequential_pairs @ sk__9 ) @ ( number_of_in @ triangles @ graph ) )
| ( on_path @ ( sk__6 @ sk__9 ) @ sk__9 ) ),
inference('sup+',[status(thm)],[zip_derived_cl151,zip_derived_cl58]) ).
thf(zip_derived_cl63,plain,
~ ( less_or_equal @ ( minus @ ( length_of @ sk__9 ) @ n1 ) @ ( number_of_in @ triangles @ graph ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl71_002,plain,
path @ sk__10 @ sk__11 @ sk__9,
inference('sup-',[status(thm)],[zip_derived_cl64,zip_derived_cl38]) ).
thf(path_length_sequential_pairs,axiom,
! [V1: $i,V2: $i,P: $i] :
( ( path @ V1 @ V2 @ P )
=> ( ( number_of_in @ sequential_pairs @ P )
= ( minus @ ( length_of @ P ) @ n1 ) ) ) ).
thf(zip_derived_cl53,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( number_of_in @ sequential_pairs @ X0 )
= ( minus @ ( length_of @ X0 ) @ n1 ) )
| ~ ( path @ X1 @ X2 @ X0 ) ),
inference(cnf,[status(esa)],[path_length_sequential_pairs]) ).
thf(zip_derived_cl82,plain,
( ( number_of_in @ sequential_pairs @ sk__9 )
= ( minus @ ( length_of @ sk__9 ) @ n1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl71,zip_derived_cl53]) ).
thf(zip_derived_cl84,plain,
~ ( less_or_equal @ ( number_of_in @ sequential_pairs @ sk__9 ) @ ( number_of_in @ triangles @ graph ) ),
inference(demod,[status(thm)],[zip_derived_cl63,zip_derived_cl82]) ).
thf(zip_derived_cl153,plain,
on_path @ ( sk__6 @ sk__9 ) @ sk__9,
inference(clc,[status(thm)],[zip_derived_cl152,zip_derived_cl84]) ).
thf(zip_derived_cl71_003,plain,
path @ sk__10 @ sk__11 @ sk__9,
inference('sup-',[status(thm)],[zip_derived_cl64,zip_derived_cl38]) ).
thf(zip_derived_cl56,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( number_of_in @ sequential_pairs @ X0 )
= ( number_of_in @ triangles @ X0 ) )
| ( on_path @ ( sk__7 @ X0 ) @ X0 )
| ~ ( path @ X1 @ X2 @ X0 ) ),
inference(cnf,[status(esa)],[sequential_pairs_and_triangles]) ).
thf(zip_derived_cl109,plain,
( ( on_path @ ( sk__7 @ sk__9 ) @ sk__9 )
| ( ( number_of_in @ sequential_pairs @ sk__9 )
= ( number_of_in @ triangles @ sk__9 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl71,zip_derived_cl56]) ).
thf(zip_derived_cl58_004,plain,
! [X0: $i,X1: $i] : ( less_or_equal @ ( number_of_in @ X0 @ X1 ) @ ( number_of_in @ X0 @ graph ) ),
inference(cnf,[status(esa)],[graph_has_them_all]) ).
thf(zip_derived_cl110,plain,
( ( less_or_equal @ ( number_of_in @ sequential_pairs @ sk__9 ) @ ( number_of_in @ triangles @ graph ) )
| ( on_path @ ( sk__7 @ sk__9 ) @ sk__9 ) ),
inference('sup+',[status(thm)],[zip_derived_cl109,zip_derived_cl58]) ).
thf(zip_derived_cl84_005,plain,
~ ( less_or_equal @ ( number_of_in @ sequential_pairs @ sk__9 ) @ ( number_of_in @ triangles @ graph ) ),
inference(demod,[status(thm)],[zip_derived_cl63,zip_derived_cl82]) ).
thf(zip_derived_cl111,plain,
on_path @ ( sk__7 @ sk__9 ) @ sk__9,
inference(clc,[status(thm)],[zip_derived_cl110,zip_derived_cl84]) ).
thf(zip_derived_cl71_006,plain,
path @ sk__10 @ sk__11 @ sk__9,
inference('sup-',[status(thm)],[zip_derived_cl64,zip_derived_cl38]) ).
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_cl92,plain,
! [X0: $i,X1: $i] :
( ~ ( on_path @ X0 @ sk__9 )
| ~ ( on_path @ X1 @ sk__9 )
| ~ ( sequential @ X0 @ X1 )
| ( precedes @ X0 @ X1 @ sk__9 ) ),
inference('sup-',[status(thm)],[zip_derived_cl71,zip_derived_cl32]) ).
thf(back_edge,axiom,
( 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(zip_derived_cl60,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ ( precedes @ X0 @ X1 @ X2 )
| ~ ( shortest_path @ X3 @ X4 @ X2 )
| ( ( tail_of @ ( sk__8 @ X1 @ X0 ) )
= ( head_of @ X1 ) )
| ~ complete ),
inference(cnf,[status(esa)],[back_edge]) ).
thf(zip_derived_cl62,plain,
complete,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl91,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ ( precedes @ X0 @ X1 @ X2 )
| ~ ( shortest_path @ X3 @ X4 @ X2 )
| ( ( tail_of @ ( sk__8 @ X1 @ X0 ) )
= ( head_of @ X1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl60,zip_derived_cl62]) ).
thf(zip_derived_cl138,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( sequential @ X1 @ X0 )
| ~ ( on_path @ X0 @ sk__9 )
| ~ ( on_path @ X1 @ sk__9 )
| ( ( tail_of @ ( sk__8 @ X0 @ X1 ) )
= ( head_of @ X0 ) )
| ~ ( shortest_path @ X3 @ X2 @ sk__9 ) ),
inference('sup-',[status(thm)],[zip_derived_cl92,zip_derived_cl91]) ).
thf(zip_derived_cl234,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( shortest_path @ X1 @ X0 @ sk__9 )
| ( ( tail_of @ ( sk__8 @ ( sk__7 @ sk__9 ) @ X2 ) )
= ( head_of @ ( sk__7 @ sk__9 ) ) )
| ~ ( on_path @ X2 @ sk__9 )
| ~ ( sequential @ X2 @ ( sk__7 @ sk__9 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl111,zip_derived_cl138]) ).
thf(zip_derived_cl409,plain,
! [X0: $i,X1: $i] :
( ~ ( sequential @ ( sk__6 @ sk__9 ) @ ( sk__7 @ sk__9 ) )
| ( ( tail_of @ ( sk__8 @ ( sk__7 @ sk__9 ) @ ( sk__6 @ sk__9 ) ) )
= ( head_of @ ( sk__7 @ sk__9 ) ) )
| ~ ( shortest_path @ X1 @ X0 @ sk__9 ) ),
inference('sup-',[status(thm)],[zip_derived_cl153,zip_derived_cl234]) ).
thf(zip_derived_cl71_007,plain,
path @ sk__10 @ sk__11 @ sk__9,
inference('sup-',[status(thm)],[zip_derived_cl64,zip_derived_cl38]) ).
thf(zip_derived_cl55,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( number_of_in @ sequential_pairs @ X0 )
= ( number_of_in @ triangles @ X0 ) )
| ( sequential @ ( sk__6 @ X0 ) @ ( sk__7 @ X0 ) )
| ~ ( path @ X1 @ X2 @ X0 ) ),
inference(cnf,[status(esa)],[sequential_pairs_and_triangles]) ).
thf(zip_derived_cl204,plain,
( ( sequential @ ( sk__6 @ sk__9 ) @ ( sk__7 @ sk__9 ) )
| ( ( number_of_in @ sequential_pairs @ sk__9 )
= ( number_of_in @ triangles @ sk__9 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl71,zip_derived_cl55]) ).
thf(zip_derived_cl58_008,plain,
! [X0: $i,X1: $i] : ( less_or_equal @ ( number_of_in @ X0 @ X1 ) @ ( number_of_in @ X0 @ graph ) ),
inference(cnf,[status(esa)],[graph_has_them_all]) ).
thf(zip_derived_cl205,plain,
( ( less_or_equal @ ( number_of_in @ sequential_pairs @ sk__9 ) @ ( number_of_in @ triangles @ graph ) )
| ( sequential @ ( sk__6 @ sk__9 ) @ ( sk__7 @ sk__9 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl204,zip_derived_cl58]) ).
thf(zip_derived_cl84_009,plain,
~ ( less_or_equal @ ( number_of_in @ sequential_pairs @ sk__9 ) @ ( number_of_in @ triangles @ graph ) ),
inference(demod,[status(thm)],[zip_derived_cl63,zip_derived_cl82]) ).
thf(zip_derived_cl206,plain,
sequential @ ( sk__6 @ sk__9 ) @ ( sk__7 @ sk__9 ),
inference(clc,[status(thm)],[zip_derived_cl205,zip_derived_cl84]) ).
thf(zip_derived_cl411,plain,
! [X0: $i,X1: $i] :
( ( ( tail_of @ ( sk__8 @ ( sk__7 @ sk__9 ) @ ( sk__6 @ sk__9 ) ) )
= ( head_of @ ( sk__7 @ sk__9 ) ) )
| ~ ( shortest_path @ X1 @ X0 @ sk__9 ) ),
inference(demod,[status(thm)],[zip_derived_cl409,zip_derived_cl206]) ).
thf(zip_derived_cl413,plain,
( ( tail_of @ ( sk__8 @ ( sk__7 @ sk__9 ) @ ( sk__6 @ sk__9 ) ) )
= ( head_of @ ( sk__7 @ sk__9 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl64,zip_derived_cl411]) ).
thf(zip_derived_cl413_010,plain,
( ( tail_of @ ( sk__8 @ ( sk__7 @ sk__9 ) @ ( sk__6 @ sk__9 ) ) )
= ( head_of @ ( sk__7 @ sk__9 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl64,zip_derived_cl411]) ).
thf(zip_derived_cl71_011,plain,
path @ sk__10 @ sk__11 @ sk__9,
inference('sup-',[status(thm)],[zip_derived_cl64,zip_derived_cl38]) ).
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_cl111_012,plain,
on_path @ ( sk__7 @ sk__9 ) @ sk__9,
inference(clc,[status(thm)],[zip_derived_cl110,zip_derived_cl84]) ).
thf(zip_derived_cl71_013,plain,
path @ sk__10 @ sk__11 @ sk__9,
inference('sup-',[status(thm)],[zip_derived_cl64,zip_derived_cl38]) ).
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_cl77,plain,
! [X0: $i] :
( ( edge @ X0 )
| ~ ( on_path @ X0 @ sk__9 ) ),
inference('sup-',[status(thm)],[zip_derived_cl71,zip_derived_cl22]) ).
thf(zip_derived_cl112,plain,
edge @ ( sk__7 @ sk__9 ),
inference('sup-',[status(thm)],[zip_derived_cl111,zip_derived_cl77]) ).
thf(zip_derived_cl30_014,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(triangle_defn,axiom,
! [E1: $i,E2: $i,E3: $i] :
( ( triangle @ E1 @ E2 @ E3 )
<=> ( ( edge @ E1 )
& ( edge @ E2 )
& ( edge @ E3 )
& ( sequential @ E1 @ E2 )
& ( sequential @ E2 @ E3 )
& ( sequential @ E3 @ E1 ) ) ) ).
thf(zip_derived_cl51,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( triangle @ X0 @ X1 @ X2 )
| ~ ( sequential @ X2 @ X0 )
| ~ ( sequential @ X1 @ X2 )
| ~ ( sequential @ X0 @ X1 )
| ~ ( edge @ X2 )
| ~ ( edge @ X1 )
| ~ ( edge @ X0 ) ),
inference(cnf,[status(esa)],[triangle_defn]) ).
thf(zip_derived_cl26,plain,
! [X0: $i,X1: $i] :
( ( edge @ X0 )
| ~ ( sequential @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[sequential_defn]) ).
thf(zip_derived_cl280,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( edge @ X0 )
| ~ ( edge @ X1 )
| ~ ( sequential @ X0 @ X1 )
| ~ ( sequential @ X1 @ X2 )
| ~ ( sequential @ X2 @ X0 )
| ( triangle @ X0 @ X1 @ X2 ) ),
inference(clc,[status(thm)],[zip_derived_cl51,zip_derived_cl26]) ).
thf(zip_derived_cl26_015,plain,
! [X0: $i,X1: $i] :
( ( edge @ X0 )
| ~ ( sequential @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[sequential_defn]) ).
thf(zip_derived_cl281,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( triangle @ X0 @ X1 @ X2 )
| ~ ( sequential @ X2 @ X0 )
| ~ ( sequential @ X1 @ X2 )
| ~ ( sequential @ X0 @ X1 )
| ~ ( edge @ X1 ) ),
inference(clc,[status(thm)],[zip_derived_cl280,zip_derived_cl26]) ).
thf(zip_derived_cl26_016,plain,
! [X0: $i,X1: $i] :
( ( edge @ X0 )
| ~ ( sequential @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[sequential_defn]) ).
thf(zip_derived_cl282,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( sequential @ X0 @ X1 )
| ~ ( sequential @ X1 @ X2 )
| ~ ( sequential @ X2 @ X0 )
| ( triangle @ X0 @ X1 @ X2 ) ),
inference(clc,[status(thm)],[zip_derived_cl281,zip_derived_cl26]) ).
thf(zip_derived_cl54,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ( number_of_in @ sequential_pairs @ X0 )
= ( number_of_in @ triangles @ X0 ) )
| ~ ( triangle @ ( sk__6 @ X0 ) @ ( sk__7 @ X0 ) @ X1 )
| ~ ( path @ X2 @ X3 @ X0 ) ),
inference(cnf,[status(esa)],[sequential_pairs_and_triangles]) ).
thf(zip_derived_cl289,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( sequential @ X0 @ ( sk__6 @ X1 ) )
| ~ ( sequential @ ( sk__7 @ X1 ) @ X0 )
| ~ ( sequential @ ( sk__6 @ X1 ) @ ( sk__7 @ X1 ) )
| ~ ( path @ X3 @ X2 @ X1 )
| ( ( number_of_in @ sequential_pairs @ X1 )
= ( number_of_in @ triangles @ X1 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl282,zip_derived_cl54]) ).
thf(zip_derived_cl55_017,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( number_of_in @ sequential_pairs @ X0 )
= ( number_of_in @ triangles @ X0 ) )
| ( sequential @ ( sk__6 @ X0 ) @ ( sk__7 @ X0 ) )
| ~ ( path @ X1 @ X2 @ X0 ) ),
inference(cnf,[status(esa)],[sequential_pairs_and_triangles]) ).
thf(zip_derived_cl299,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ( number_of_in @ sequential_pairs @ X1 )
= ( number_of_in @ triangles @ X1 ) )
| ~ ( path @ X3 @ X2 @ X1 )
| ~ ( sequential @ ( sk__7 @ X1 ) @ X0 )
| ~ ( sequential @ X0 @ ( sk__6 @ X1 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl289,zip_derived_cl55]) ).
thf(zip_derived_cl300,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( edge @ ( sk__7 @ X1 ) )
| ~ ( edge @ X0 )
| ( ( sk__7 @ X1 )
= X0 )
| ( ( head_of @ ( sk__7 @ X1 ) )
!= ( tail_of @ X0 ) )
| ~ ( sequential @ X0 @ ( sk__6 @ X1 ) )
| ~ ( path @ X3 @ X2 @ X1 )
| ( ( number_of_in @ sequential_pairs @ X1 )
= ( number_of_in @ triangles @ X1 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl30,zip_derived_cl299]) ).
thf(zip_derived_cl26_018,plain,
! [X0: $i,X1: $i] :
( ( edge @ X0 )
| ~ ( sequential @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[sequential_defn]) ).
thf(zip_derived_cl11284,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ( number_of_in @ sequential_pairs @ X1 )
= ( number_of_in @ triangles @ X1 ) )
| ~ ( path @ X3 @ X2 @ X1 )
| ~ ( sequential @ X0 @ ( sk__6 @ X1 ) )
| ( ( head_of @ ( sk__7 @ X1 ) )
!= ( tail_of @ X0 ) )
| ( ( sk__7 @ X1 )
= X0 )
| ~ ( edge @ ( sk__7 @ X1 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl300,zip_derived_cl26]) ).
thf(zip_derived_cl11285,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( sk__7 @ sk__9 )
= X0 )
| ( ( head_of @ ( sk__7 @ sk__9 ) )
!= ( tail_of @ X0 ) )
| ~ ( sequential @ X0 @ ( sk__6 @ sk__9 ) )
| ~ ( path @ X2 @ X1 @ sk__9 )
| ( ( number_of_in @ sequential_pairs @ sk__9 )
= ( number_of_in @ triangles @ sk__9 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl112,zip_derived_cl11284]) ).
thf(zip_derived_cl11382,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( edge @ X0 )
| ~ ( edge @ ( sk__6 @ sk__9 ) )
| ( X0
= ( sk__6 @ sk__9 ) )
| ( ( head_of @ X0 )
!= ( tail_of @ ( sk__6 @ sk__9 ) ) )
| ( ( number_of_in @ sequential_pairs @ sk__9 )
= ( number_of_in @ triangles @ sk__9 ) )
| ~ ( path @ X2 @ X1 @ sk__9 )
| ( ( head_of @ ( sk__7 @ sk__9 ) )
!= ( tail_of @ X0 ) )
| ( ( sk__7 @ sk__9 )
= X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl30,zip_derived_cl11285]) ).
thf(zip_derived_cl153_019,plain,
on_path @ ( sk__6 @ sk__9 ) @ sk__9,
inference(clc,[status(thm)],[zip_derived_cl152,zip_derived_cl84]) ).
thf(zip_derived_cl77_020,plain,
! [X0: $i] :
( ( edge @ X0 )
| ~ ( on_path @ X0 @ sk__9 ) ),
inference('sup-',[status(thm)],[zip_derived_cl71,zip_derived_cl22]) ).
thf(zip_derived_cl154,plain,
edge @ ( sk__6 @ sk__9 ),
inference('sup-',[status(thm)],[zip_derived_cl153,zip_derived_cl77]) ).
thf(zip_derived_cl11383,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( edge @ X0 )
| ( X0
= ( sk__6 @ sk__9 ) )
| ( ( head_of @ X0 )
!= ( tail_of @ ( sk__6 @ sk__9 ) ) )
| ( ( number_of_in @ sequential_pairs @ sk__9 )
= ( number_of_in @ triangles @ sk__9 ) )
| ~ ( path @ X2 @ X1 @ sk__9 )
| ( ( head_of @ ( sk__7 @ sk__9 ) )
!= ( tail_of @ X0 ) )
| ( ( sk__7 @ sk__9 )
= X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl11382,zip_derived_cl154]) ).
thf(zip_derived_cl11385,plain,
! [X0: $i] :
( ( ( sk__7 @ sk__9 )
= X0 )
| ( ( head_of @ ( sk__7 @ sk__9 ) )
!= ( tail_of @ X0 ) )
| ( ( number_of_in @ sequential_pairs @ sk__9 )
= ( number_of_in @ triangles @ sk__9 ) )
| ( ( head_of @ X0 )
!= ( tail_of @ ( sk__6 @ sk__9 ) ) )
| ( X0
= ( sk__6 @ sk__9 ) )
| ~ ( edge @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl71,zip_derived_cl11383]) ).
thf(zip_derived_cl11397,plain,
( ( ( head_of @ ( sk__7 @ sk__9 ) )
!= ( head_of @ ( sk__7 @ sk__9 ) ) )
| ~ ( edge @ ( sk__8 @ ( sk__7 @ sk__9 ) @ ( sk__6 @ sk__9 ) ) )
| ( ( sk__8 @ ( sk__7 @ sk__9 ) @ ( sk__6 @ sk__9 ) )
= ( sk__6 @ sk__9 ) )
| ( ( head_of @ ( sk__8 @ ( sk__7 @ sk__9 ) @ ( sk__6 @ sk__9 ) ) )
!= ( tail_of @ ( sk__6 @ sk__9 ) ) )
| ( ( number_of_in @ sequential_pairs @ sk__9 )
= ( number_of_in @ triangles @ sk__9 ) )
| ( ( sk__7 @ sk__9 )
= ( sk__8 @ ( sk__7 @ sk__9 ) @ ( sk__6 @ sk__9 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl413,zip_derived_cl11385]) ).
thf(zip_derived_cl64_021,plain,
shortest_path @ sk__10 @ sk__11 @ sk__9,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl153_022,plain,
on_path @ ( sk__6 @ sk__9 ) @ sk__9,
inference(clc,[status(thm)],[zip_derived_cl152,zip_derived_cl84]) ).
thf(zip_derived_cl111_023,plain,
on_path @ ( sk__7 @ sk__9 ) @ sk__9,
inference(clc,[status(thm)],[zip_derived_cl110,zip_derived_cl84]) ).
thf(zip_derived_cl92_024,plain,
! [X0: $i,X1: $i] :
( ~ ( on_path @ X0 @ sk__9 )
| ~ ( on_path @ X1 @ sk__9 )
| ~ ( sequential @ X0 @ X1 )
| ( precedes @ X0 @ X1 @ sk__9 ) ),
inference('sup-',[status(thm)],[zip_derived_cl71,zip_derived_cl32]) ).
thf(zip_derived_cl61,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ ( precedes @ X0 @ X1 @ X2 )
| ~ ( shortest_path @ X3 @ X4 @ X2 )
| ( edge @ ( sk__8 @ X1 @ X0 ) )
| ~ complete ),
inference(cnf,[status(esa)],[back_edge]) ).
thf(zip_derived_cl62_025,plain,
complete,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl72,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ ( precedes @ X0 @ X1 @ X2 )
| ~ ( shortest_path @ X3 @ X4 @ X2 )
| ( edge @ ( sk__8 @ X1 @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl61,zip_derived_cl62]) ).
thf(zip_derived_cl136,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( sequential @ X1 @ X0 )
| ~ ( on_path @ X0 @ sk__9 )
| ~ ( on_path @ X1 @ sk__9 )
| ( edge @ ( sk__8 @ X0 @ X1 ) )
| ~ ( shortest_path @ X3 @ X2 @ sk__9 ) ),
inference('sup-',[status(thm)],[zip_derived_cl92,zip_derived_cl72]) ).
thf(zip_derived_cl176,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( shortest_path @ X1 @ X0 @ sk__9 )
| ( edge @ ( sk__8 @ ( sk__7 @ sk__9 ) @ X2 ) )
| ~ ( on_path @ X2 @ sk__9 )
| ~ ( sequential @ X2 @ ( sk__7 @ sk__9 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl111,zip_derived_cl136]) ).
thf(zip_derived_cl188,plain,
! [X0: $i,X1: $i] :
( ~ ( sequential @ ( sk__6 @ sk__9 ) @ ( sk__7 @ sk__9 ) )
| ( edge @ ( sk__8 @ ( sk__7 @ sk__9 ) @ ( sk__6 @ sk__9 ) ) )
| ~ ( shortest_path @ X1 @ X0 @ sk__9 ) ),
inference('sup-',[status(thm)],[zip_derived_cl153,zip_derived_cl176]) ).
thf(zip_derived_cl206_026,plain,
sequential @ ( sk__6 @ sk__9 ) @ ( sk__7 @ sk__9 ),
inference(clc,[status(thm)],[zip_derived_cl205,zip_derived_cl84]) ).
thf(zip_derived_cl208,plain,
! [X0: $i,X1: $i] :
( ( edge @ ( sk__8 @ ( sk__7 @ sk__9 ) @ ( sk__6 @ sk__9 ) ) )
| ~ ( shortest_path @ X1 @ X0 @ sk__9 ) ),
inference(demod,[status(thm)],[zip_derived_cl188,zip_derived_cl206]) ).
thf(zip_derived_cl231,plain,
edge @ ( sk__8 @ ( sk__7 @ sk__9 ) @ ( sk__6 @ sk__9 ) ),
inference('sup-',[status(thm)],[zip_derived_cl64,zip_derived_cl208]) ).
thf(zip_derived_cl64_027,plain,
shortest_path @ sk__10 @ sk__11 @ sk__9,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl153_028,plain,
on_path @ ( sk__6 @ sk__9 ) @ sk__9,
inference(clc,[status(thm)],[zip_derived_cl152,zip_derived_cl84]) ).
thf(zip_derived_cl111_029,plain,
on_path @ ( sk__7 @ sk__9 ) @ sk__9,
inference(clc,[status(thm)],[zip_derived_cl110,zip_derived_cl84]) ).
thf(zip_derived_cl92_030,plain,
! [X0: $i,X1: $i] :
( ~ ( on_path @ X0 @ sk__9 )
| ~ ( on_path @ X1 @ sk__9 )
| ~ ( sequential @ X0 @ X1 )
| ( precedes @ X0 @ X1 @ sk__9 ) ),
inference('sup-',[status(thm)],[zip_derived_cl71,zip_derived_cl32]) ).
thf(zip_derived_cl59,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ ( precedes @ X0 @ X1 @ X2 )
| ~ ( shortest_path @ X3 @ X4 @ X2 )
| ( ( head_of @ ( sk__8 @ X1 @ X0 ) )
= ( tail_of @ X0 ) )
| ~ complete ),
inference(cnf,[status(esa)],[back_edge]) ).
thf(zip_derived_cl62_031,plain,
complete,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl90,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ ( precedes @ X0 @ X1 @ X2 )
| ~ ( shortest_path @ X3 @ X4 @ X2 )
| ( ( head_of @ ( sk__8 @ X1 @ X0 ) )
= ( tail_of @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl59,zip_derived_cl62]) ).
thf(zip_derived_cl137,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( sequential @ X1 @ X0 )
| ~ ( on_path @ X0 @ sk__9 )
| ~ ( on_path @ X1 @ sk__9 )
| ( ( head_of @ ( sk__8 @ X0 @ X1 ) )
= ( tail_of @ X1 ) )
| ~ ( shortest_path @ X3 @ X2 @ sk__9 ) ),
inference('sup-',[status(thm)],[zip_derived_cl92,zip_derived_cl90]) ).
thf(zip_derived_cl193,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( shortest_path @ X1 @ X0 @ sk__9 )
| ( ( head_of @ ( sk__8 @ ( sk__7 @ sk__9 ) @ X2 ) )
= ( tail_of @ X2 ) )
| ~ ( on_path @ X2 @ sk__9 )
| ~ ( sequential @ X2 @ ( sk__7 @ sk__9 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl111,zip_derived_cl137]) ).
thf(zip_derived_cl244,plain,
! [X0: $i,X1: $i] :
( ~ ( sequential @ ( sk__6 @ sk__9 ) @ ( sk__7 @ sk__9 ) )
| ( ( head_of @ ( sk__8 @ ( sk__7 @ sk__9 ) @ ( sk__6 @ sk__9 ) ) )
= ( tail_of @ ( sk__6 @ sk__9 ) ) )
| ~ ( shortest_path @ X1 @ X0 @ sk__9 ) ),
inference('sup-',[status(thm)],[zip_derived_cl153,zip_derived_cl193]) ).
thf(zip_derived_cl206_032,plain,
sequential @ ( sk__6 @ sk__9 ) @ ( sk__7 @ sk__9 ),
inference(clc,[status(thm)],[zip_derived_cl205,zip_derived_cl84]) ).
thf(zip_derived_cl246,plain,
! [X0: $i,X1: $i] :
( ( ( head_of @ ( sk__8 @ ( sk__7 @ sk__9 ) @ ( sk__6 @ sk__9 ) ) )
= ( tail_of @ ( sk__6 @ sk__9 ) ) )
| ~ ( shortest_path @ X1 @ X0 @ sk__9 ) ),
inference(demod,[status(thm)],[zip_derived_cl244,zip_derived_cl206]) ).
thf(zip_derived_cl270,plain,
( ( head_of @ ( sk__8 @ ( sk__7 @ sk__9 ) @ ( sk__6 @ sk__9 ) ) )
= ( tail_of @ ( sk__6 @ sk__9 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl64,zip_derived_cl246]) ).
thf(zip_derived_cl11402,plain,
( ( ( head_of @ ( sk__7 @ sk__9 ) )
!= ( head_of @ ( sk__7 @ sk__9 ) ) )
| ( ( sk__8 @ ( sk__7 @ sk__9 ) @ ( sk__6 @ sk__9 ) )
= ( sk__6 @ sk__9 ) )
| ( ( tail_of @ ( sk__6 @ sk__9 ) )
!= ( tail_of @ ( sk__6 @ sk__9 ) ) )
| ( ( number_of_in @ sequential_pairs @ sk__9 )
= ( number_of_in @ triangles @ sk__9 ) )
| ( ( sk__7 @ sk__9 )
= ( sk__8 @ ( sk__7 @ sk__9 ) @ ( sk__6 @ sk__9 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11397,zip_derived_cl231,zip_derived_cl270]) ).
thf(zip_derived_cl11403,plain,
( ( ( sk__7 @ sk__9 )
= ( sk__8 @ ( sk__7 @ sk__9 ) @ ( sk__6 @ sk__9 ) ) )
| ( ( number_of_in @ sequential_pairs @ sk__9 )
= ( number_of_in @ triangles @ sk__9 ) )
| ( ( sk__8 @ ( sk__7 @ sk__9 ) @ ( sk__6 @ sk__9 ) )
= ( sk__6 @ sk__9 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl11402]) ).
thf(zip_derived_cl58_033,plain,
! [X0: $i,X1: $i] : ( less_or_equal @ ( number_of_in @ X0 @ X1 ) @ ( number_of_in @ X0 @ graph ) ),
inference(cnf,[status(esa)],[graph_has_them_all]) ).
thf(zip_derived_cl11404,plain,
( ( less_or_equal @ ( number_of_in @ sequential_pairs @ sk__9 ) @ ( number_of_in @ triangles @ graph ) )
| ( ( sk__8 @ ( sk__7 @ sk__9 ) @ ( sk__6 @ sk__9 ) )
= ( sk__6 @ sk__9 ) )
| ( ( sk__7 @ sk__9 )
= ( sk__8 @ ( sk__7 @ sk__9 ) @ ( sk__6 @ sk__9 ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl11403,zip_derived_cl58]) ).
thf(zip_derived_cl84_034,plain,
~ ( less_or_equal @ ( number_of_in @ sequential_pairs @ sk__9 ) @ ( number_of_in @ triangles @ graph ) ),
inference(demod,[status(thm)],[zip_derived_cl63,zip_derived_cl82]) ).
thf(zip_derived_cl11405,plain,
( ( ( sk__7 @ sk__9 )
= ( sk__8 @ ( sk__7 @ sk__9 ) @ ( sk__6 @ sk__9 ) ) )
| ( ( sk__8 @ ( sk__7 @ sk__9 ) @ ( sk__6 @ sk__9 ) )
= ( sk__6 @ sk__9 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl11404,zip_derived_cl84]) ).
thf(zip_derived_cl270_035,plain,
( ( head_of @ ( sk__8 @ ( sk__7 @ sk__9 ) @ ( sk__6 @ sk__9 ) ) )
= ( tail_of @ ( sk__6 @ sk__9 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl64,zip_derived_cl246]) ).
thf(zip_derived_cl11407,plain,
( ( ( head_of @ ( sk__7 @ sk__9 ) )
= ( tail_of @ ( sk__6 @ sk__9 ) ) )
| ( ( sk__8 @ ( sk__7 @ sk__9 ) @ ( sk__6 @ sk__9 ) )
= ( sk__6 @ sk__9 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl11405,zip_derived_cl270]) ).
thf(zip_derived_cl413_036,plain,
( ( tail_of @ ( sk__8 @ ( sk__7 @ sk__9 ) @ ( sk__6 @ sk__9 ) ) )
= ( head_of @ ( sk__7 @ sk__9 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl64,zip_derived_cl411]) ).
thf(no_loops,axiom,
! [E: $i] :
( ( edge @ E )
=> ( ( head_of @ E )
!= ( tail_of @ E ) ) ) ).
thf(zip_derived_cl0,plain,
! [X0: $i] :
( ( ( head_of @ X0 )
!= ( tail_of @ X0 ) )
| ~ ( edge @ X0 ) ),
inference(cnf,[status(esa)],[no_loops]) ).
thf(zip_derived_cl418,plain,
( ( ( head_of @ ( sk__8 @ ( sk__7 @ sk__9 ) @ ( sk__6 @ sk__9 ) ) )
!= ( head_of @ ( sk__7 @ sk__9 ) ) )
| ~ ( edge @ ( sk__8 @ ( sk__7 @ sk__9 ) @ ( sk__6 @ sk__9 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl413,zip_derived_cl0]) ).
thf(zip_derived_cl270_037,plain,
( ( head_of @ ( sk__8 @ ( sk__7 @ sk__9 ) @ ( sk__6 @ sk__9 ) ) )
= ( tail_of @ ( sk__6 @ sk__9 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl64,zip_derived_cl246]) ).
thf(zip_derived_cl231_038,plain,
edge @ ( sk__8 @ ( sk__7 @ sk__9 ) @ ( sk__6 @ sk__9 ) ),
inference('sup-',[status(thm)],[zip_derived_cl64,zip_derived_cl208]) ).
thf(zip_derived_cl430,plain,
( ( tail_of @ ( sk__6 @ sk__9 ) )
!= ( head_of @ ( sk__7 @ sk__9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl418,zip_derived_cl270,zip_derived_cl231]) ).
thf(zip_derived_cl11595,plain,
( ( sk__8 @ ( sk__7 @ sk__9 ) @ ( sk__6 @ sk__9 ) )
= ( sk__6 @ sk__9 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl11407,zip_derived_cl430]) ).
thf(zip_derived_cl11619,plain,
( ( tail_of @ ( sk__6 @ sk__9 ) )
= ( head_of @ ( sk__7 @ sk__9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl413,zip_derived_cl11595]) ).
thf(zip_derived_cl430_039,plain,
( ( tail_of @ ( sk__6 @ sk__9 ) )
!= ( head_of @ ( sk__7 @ sk__9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl418,zip_derived_cl270,zip_derived_cl231]) ).
thf(zip_derived_cl11620,plain,
$false,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl11619,zip_derived_cl430]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.09 % Problem : GRA002+2 : TPTP v9.2.0. Bugfixed v3.2.0.
% 0.04/0.10 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.ZcMu084jMs true
% 0.09/0.30 % Computer : n007.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 300
% 0.09/0.30 % WCLimit : 300
% 0.09/0.30 % DateTime : Wed Oct 1 13:52:38 EDT 2025
% 0.09/0.30 % CPUTime :
% 0.09/0.30 % Running portfolio for 300 s
% 0.09/0.30 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.30 % Number of cores: 8
% 0.09/0.30 % Python version: Python 3.6.8
% 0.09/0.31 % Running in FO mode
% 0.47/0.57 % Total configuration time : 435
% 0.47/0.57 % Estimated wc time : 1092
% 0.47/0.57 % Estimated cpu time (7 cpus) : 156.0
% 0.47/0.63 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.47/0.66 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.47/0.66 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.47/0.67 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.47/0.67 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.47/0.67 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.47/0.68 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 46.49/7.25 % Solved by fo/fo7.sh.
% 46.49/7.25 % done 2711 iterations in 6.546s
% 46.49/7.25 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 46.49/7.25 % SZS output start Refutation
% See solution above
% 46.49/7.25
% 46.49/7.25
% 46.49/7.25 % Terminating...
% 47.09/7.31 % Runner terminated.
% 47.09/7.32 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------