TSTP Solution File: GRA007+1 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRA007+1 : TPTP v8.1.2. Bugfixed 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.2N6pzLDYvA 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 Aug 31 00:10:10 EDT 2023
% Result : Theorem 5.30s 1.41s
% Output : Refutation 5.30s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 29
% Syntax : Number of formulae : 131 ( 36 unt; 19 typ; 0 def)
% Number of atoms : 363 ( 135 equ; 0 cnn)
% Maximal formula atoms : 9 ( 3 avg)
% Number of connectives : 1146 ( 182 ~; 201 |; 31 &; 713 @)
% ( 2 <=>; 15 =>; 0 <=; 2 <~>)
% Maximal formula depth : 19 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 24 ( 24 >; 0 *; 0 +; 0 <<)
% Number of symbols : 21 ( 19 usr; 7 con; 0-3 aty)
% Number of variables : 180 ( 0 ^; 173 !; 7 ?; 180 :)
% 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__9_type,type,
sk__9: $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(sk__type,type,
sk_: $i > $i > $i ).
thf(on_path_type,type,
on_path: $i > $i > $o ).
thf(sk__8_type,type,
sk__8: $i ).
thf(shortest_path_type,type,
shortest_path: $i > $i > $i > $o ).
thf(less_or_equal_type,type,
less_or_equal: $i > $i > $o ).
thf(tail_of_type,type,
tail_of: $i > $i ).
thf(sk__10_type,type,
sk__10: $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_cl59,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_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_cl402,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_cl59,zip_derived_cl6]) ).
thf(zip_derived_cl59_001,plain,
complete,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
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_cl403,plain,
! [X0: $i,X1: $i] :
( ~ ( vertex @ X0 )
| ~ ( vertex @ X1 )
| ( X0 = X1 )
| ( edge @ ( sk_ @ X1 @ X0 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl59,zip_derived_cl8]) ).
thf(zip_derived_cl59_002,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_cl399,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_cl59,zip_derived_cl3]) ).
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_cl616,plain,
! [X0: $i,X1: $i] :
( ( X1
= ( tail_of @ ( sk_ @ X0 @ X1 ) ) )
| ( X1 = X0 )
| ~ ( vertex @ X0 )
| ~ ( vertex @ X1 )
| ( ( head_of @ ( sk_ @ X0 @ X1 ) )
!= X0 )
| ~ ( edge @ ( sk_ @ X0 @ X1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl399,zip_derived_cl0]) ).
thf(zip_derived_cl403_003,plain,
! [X0: $i,X1: $i] :
( ~ ( vertex @ X0 )
| ~ ( vertex @ X1 )
| ( X0 = X1 )
| ( edge @ ( sk_ @ X1 @ X0 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl59,zip_derived_cl8]) ).
thf(zip_derived_cl749,plain,
! [X0: $i,X1: $i] :
( ( ( head_of @ ( sk_ @ X0 @ X1 ) )
!= X0 )
| ~ ( vertex @ X1 )
| ~ ( vertex @ X0 )
| ( X1 = X0 )
| ( X1
= ( tail_of @ ( sk_ @ X0 @ X1 ) ) ) ),
inference(clc,[status(thm)],[zip_derived_cl616,zip_derived_cl403]) ).
thf(zip_derived_cl60,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_cl753,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ ( vertex @ X1 )
| ~ ( vertex @ X0 )
| ( ( head_of @ ( sk_ @ X1 @ X0 ) )
!= X1 )
| ( ( head_of @ ( sk_ @ X1 @ X0 ) )
!= ( tail_of @ sk__10 ) )
| ( X0
!= ( head_of @ sk__11 ) )
| ~ ( edge @ ( sk_ @ X1 @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl749,zip_derived_cl60]) ).
thf(zip_derived_cl811,plain,
! [X0: $i] :
( ~ ( edge @ ( sk_ @ X0 @ ( head_of @ sk__11 ) ) )
| ( ( head_of @ ( sk_ @ X0 @ ( head_of @ sk__11 ) ) )
!= ( tail_of @ sk__10 ) )
| ( ( head_of @ ( sk_ @ X0 @ ( head_of @ sk__11 ) ) )
!= X0 )
| ~ ( vertex @ ( head_of @ sk__11 ) )
| ~ ( vertex @ X0 )
| ( ( head_of @ sk__11 )
= X0 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl753]) ).
thf(zip_derived_cl61,plain,
shortest_path @ sk__8 @ sk__9 @ sk__12,
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_cl414,plain,
path @ sk__8 @ sk__9 @ sk__12,
inference('s_sup-',[status(thm)],[zip_derived_cl61,zip_derived_cl38]) ).
thf(zip_derived_cl62,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_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_cl443,plain,
! [X0: $i,X1: $i] :
( ( on_path @ sk__11 @ sk__12 )
| ~ ( path @ X1 @ X0 @ sk__12 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl62,zip_derived_cl36]) ).
thf(zip_derived_cl454,plain,
on_path @ sk__11 @ sk__12,
inference('s_sup-',[status(thm)],[zip_derived_cl414,zip_derived_cl443]) ).
thf(zip_derived_cl414_004,plain,
path @ sk__8 @ sk__9 @ sk__12,
inference('s_sup-',[status(thm)],[zip_derived_cl61,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_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_cl468,plain,
! [X0: $i] :
( ~ ( on_path @ X0 @ sk__12 )
| ( in_path @ ( head_of @ X0 ) @ sk__12 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl414,zip_derived_cl21]) ).
thf(zip_derived_cl414_005,plain,
path @ sk__8 @ sk__9 @ sk__12,
inference('s_sup-',[status(thm)],[zip_derived_cl61,zip_derived_cl38]) ).
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_cl436,plain,
! [X0: $i] :
( ~ ( in_path @ X0 @ sk__12 )
| ( vertex @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl414,zip_derived_cl25]) ).
thf(zip_derived_cl477,plain,
! [X0: $i] :
( ~ ( on_path @ X0 @ sk__12 )
| ( vertex @ ( head_of @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl468,zip_derived_cl436]) ).
thf(zip_derived_cl482,plain,
vertex @ ( head_of @ sk__11 ),
inference('s_sup-',[status(thm)],[zip_derived_cl454,zip_derived_cl477]) ).
thf(zip_derived_cl812,plain,
! [X0: $i] :
( ~ ( edge @ ( sk_ @ X0 @ ( head_of @ sk__11 ) ) )
| ( ( head_of @ ( sk_ @ X0 @ ( head_of @ sk__11 ) ) )
!= ( tail_of @ sk__10 ) )
| ( ( head_of @ ( sk_ @ X0 @ ( head_of @ sk__11 ) ) )
!= X0 )
| ~ ( vertex @ X0 )
| ( ( head_of @ sk__11 )
= X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl811,zip_derived_cl482]) ).
thf(zip_derived_cl1063,plain,
! [X0: $i] :
( ( ( head_of @ sk__11 )
= X0 )
| ~ ( vertex @ X0 )
| ~ ( vertex @ ( head_of @ sk__11 ) )
| ( ( head_of @ ( sk_ @ X0 @ ( head_of @ sk__11 ) ) )
!= ( tail_of @ sk__10 ) )
| ( ( head_of @ ( sk_ @ X0 @ ( head_of @ sk__11 ) ) )
!= X0 )
| ~ ( vertex @ X0 )
| ( ( head_of @ sk__11 )
= X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl403,zip_derived_cl812]) ).
thf(zip_derived_cl482_006,plain,
vertex @ ( head_of @ sk__11 ),
inference('s_sup-',[status(thm)],[zip_derived_cl454,zip_derived_cl477]) ).
thf(zip_derived_cl1064,plain,
! [X0: $i] :
( ( ( head_of @ sk__11 )
= X0 )
| ~ ( vertex @ X0 )
| ( ( head_of @ ( sk_ @ X0 @ ( head_of @ sk__11 ) ) )
!= ( tail_of @ sk__10 ) )
| ( ( head_of @ ( sk_ @ X0 @ ( head_of @ sk__11 ) ) )
!= X0 )
| ~ ( vertex @ X0 )
| ( ( head_of @ sk__11 )
= X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl1063,zip_derived_cl482]) ).
thf(zip_derived_cl1065,plain,
! [X0: $i] :
( ( ( head_of @ ( sk_ @ X0 @ ( head_of @ sk__11 ) ) )
!= X0 )
| ( ( head_of @ ( sk_ @ X0 @ ( head_of @ sk__11 ) ) )
!= ( tail_of @ sk__10 ) )
| ~ ( vertex @ X0 )
| ( ( head_of @ sk__11 )
= X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl1064]) ).
thf(zip_derived_cl1066,plain,
! [X0: $i] :
( ( ( head_of @ sk__11 )
= ( head_of @ ( sk_ @ X0 @ ( head_of @ sk__11 ) ) ) )
| ( ( head_of @ sk__11 )
= X0 )
| ~ ( vertex @ X0 )
| ~ ( vertex @ ( head_of @ sk__11 ) )
| ( X0 != X0 )
| ( X0
!= ( tail_of @ sk__10 ) )
| ~ ( vertex @ X0 )
| ( ( head_of @ sk__11 )
= X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl402,zip_derived_cl1065]) ).
thf(zip_derived_cl482_007,plain,
vertex @ ( head_of @ sk__11 ),
inference('s_sup-',[status(thm)],[zip_derived_cl454,zip_derived_cl477]) ).
thf(zip_derived_cl1069,plain,
! [X0: $i] :
( ( ( head_of @ sk__11 )
= ( head_of @ ( sk_ @ X0 @ ( head_of @ sk__11 ) ) ) )
| ( ( head_of @ sk__11 )
= X0 )
| ~ ( vertex @ X0 )
| ( X0 != X0 )
| ( X0
!= ( tail_of @ sk__10 ) )
| ~ ( vertex @ X0 )
| ( ( head_of @ sk__11 )
= X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl1066,zip_derived_cl482]) ).
thf(zip_derived_cl1070,plain,
! [X0: $i] :
( ( X0
!= ( tail_of @ sk__10 ) )
| ~ ( vertex @ X0 )
| ( ( head_of @ sk__11 )
= X0 )
| ( ( head_of @ sk__11 )
= ( head_of @ ( sk_ @ X0 @ ( head_of @ sk__11 ) ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl1069]) ).
thf(zip_derived_cl61_008,plain,
shortest_path @ sk__8 @ sk__9 @ sk__12,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl62_009,plain,
precedes @ sk__10 @ sk__11 @ sk__12,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl414_010,plain,
path @ sk__8 @ sk__9 @ sk__12,
inference('s_sup-',[status(thm)],[zip_derived_cl61,zip_derived_cl38]) ).
thf(zip_derived_cl62_011,plain,
precedes @ sk__10 @ sk__11 @ sk__12,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
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_cl449,plain,
! [X0: $i,X1: $i] :
( ( on_path @ sk__10 @ sk__12 )
| ~ ( path @ X1 @ X0 @ sk__12 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl62,zip_derived_cl37]) ).
thf(zip_derived_cl457,plain,
on_path @ sk__10 @ sk__12,
inference('s_sup-',[status(thm)],[zip_derived_cl414,zip_derived_cl449]) ).
thf(zip_derived_cl414_012,plain,
path @ sk__8 @ sk__9 @ sk__12,
inference('s_sup-',[status(thm)],[zip_derived_cl61,zip_derived_cl38]) ).
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(zip_derived_cl461,plain,
! [X0: $i] :
( ~ ( on_path @ X0 @ sk__12 )
| ( in_path @ ( tail_of @ X0 ) @ sk__12 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl414,zip_derived_cl20]) ).
thf(zip_derived_cl436_013,plain,
! [X0: $i] :
( ~ ( in_path @ X0 @ sk__12 )
| ( vertex @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl414,zip_derived_cl25]) ).
thf(zip_derived_cl469,plain,
! [X0: $i] :
( ~ ( on_path @ X0 @ sk__12 )
| ( vertex @ ( tail_of @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl461,zip_derived_cl436]) ).
thf(zip_derived_cl471,plain,
vertex @ ( tail_of @ sk__10 ),
inference('s_sup-',[status(thm)],[zip_derived_cl457,zip_derived_cl469]) ).
thf(zip_derived_cl399_014,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_cl59,zip_derived_cl3]) ).
thf(zip_derived_cl0_015,plain,
! [X0: $i] :
( ( ( head_of @ X0 )
!= ( tail_of @ X0 ) )
| ~ ( edge @ X0 ) ),
inference(cnf,[status(esa)],[no_loops]) ).
thf(zip_derived_cl603,plain,
! [X0: $i,X1: $i] :
( ( X1
= ( tail_of @ ( sk_ @ X1 @ X0 ) ) )
| ( X0 = X1 )
| ~ ( vertex @ X1 )
| ~ ( vertex @ X0 )
| ( ( head_of @ ( sk_ @ X1 @ X0 ) )
!= X0 )
| ~ ( edge @ ( sk_ @ X1 @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl399,zip_derived_cl0]) ).
thf(zip_derived_cl403_016,plain,
! [X0: $i,X1: $i] :
( ~ ( vertex @ X0 )
| ~ ( vertex @ X1 )
| ( X0 = X1 )
| ( edge @ ( sk_ @ X1 @ X0 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl59,zip_derived_cl8]) ).
thf(zip_derived_cl661,plain,
! [X0: $i,X1: $i] :
( ( ( head_of @ ( sk_ @ X1 @ X0 ) )
!= X0 )
| ~ ( vertex @ X0 )
| ~ ( vertex @ X1 )
| ( X0 = X1 )
| ( X1
= ( tail_of @ ( sk_ @ X1 @ X0 ) ) ) ),
inference(clc,[status(thm)],[zip_derived_cl603,zip_derived_cl403]) ).
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_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_cl671,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( ( X2 = X0 )
| ~ ( vertex @ X0 )
| ~ ( vertex @ X2 )
| ( ( head_of @ ( sk_ @ X0 @ X2 ) )
!= X2 )
| ( X0
!= ( tail_of @ X1 ) )
| ( ( head_of @ ( sk_ @ X0 @ X2 ) )
!= ( head_of @ X3 ) )
| ~ ( precedes @ X1 @ X3 @ X4 )
| ~ ( shortest_path @ X6 @ X5 @ X4 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl661,zip_derived_cl43]) ).
thf(zip_derived_cl1221,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ~ ( shortest_path @ X2 @ X1 @ X0 )
| ~ ( precedes @ X4 @ X3 @ X0 )
| ( ( head_of @ ( sk_ @ ( tail_of @ X4 ) @ X5 ) )
!= ( head_of @ X3 ) )
| ( ( head_of @ ( sk_ @ ( tail_of @ X4 ) @ X5 ) )
!= X5 )
| ~ ( vertex @ X5 )
| ~ ( vertex @ ( tail_of @ X4 ) )
| ( X5
= ( tail_of @ X4 ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl671]) ).
thf(zip_derived_cl1875,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ ( shortest_path @ X2 @ X1 @ X0 )
| ~ ( precedes @ sk__10 @ X3 @ X0 )
| ( ( head_of @ ( sk_ @ ( tail_of @ sk__10 ) @ X4 ) )
!= ( head_of @ X3 ) )
| ( ( head_of @ ( sk_ @ ( tail_of @ sk__10 ) @ X4 ) )
!= X4 )
| ~ ( vertex @ X4 )
| ( X4
= ( tail_of @ sk__10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl471,zip_derived_cl1221]) ).
thf(zip_derived_cl1900,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( shortest_path @ X1 @ X0 @ sk__12 )
| ( ( head_of @ ( sk_ @ ( tail_of @ sk__10 ) @ X2 ) )
!= ( head_of @ sk__11 ) )
| ( ( head_of @ ( sk_ @ ( tail_of @ sk__10 ) @ X2 ) )
!= X2 )
| ~ ( vertex @ X2 )
| ( X2
= ( tail_of @ sk__10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl62,zip_derived_cl1875]) ).
thf(zip_derived_cl1921,plain,
! [X0: $i] :
( ( ( head_of @ ( sk_ @ ( tail_of @ sk__10 ) @ X0 ) )
!= ( head_of @ sk__11 ) )
| ( ( head_of @ ( sk_ @ ( tail_of @ sk__10 ) @ X0 ) )
!= X0 )
| ~ ( vertex @ X0 )
| ( X0
= ( tail_of @ sk__10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl61,zip_derived_cl1900]) ).
thf(zip_derived_cl1924,plain,
( ( ( head_of @ sk__11 )
= ( tail_of @ sk__10 ) )
| ~ ( vertex @ ( tail_of @ sk__10 ) )
| ( ( tail_of @ sk__10 )
!= ( tail_of @ sk__10 ) )
| ( ( head_of @ sk__11 )
!= ( head_of @ sk__11 ) )
| ( ( head_of @ sk__11 )
!= ( head_of @ sk__11 ) )
| ~ ( vertex @ ( head_of @ sk__11 ) )
| ( ( head_of @ sk__11 )
= ( tail_of @ sk__10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1070,zip_derived_cl1921]) ).
thf(zip_derived_cl471_017,plain,
vertex @ ( tail_of @ sk__10 ),
inference('s_sup-',[status(thm)],[zip_derived_cl457,zip_derived_cl469]) ).
thf(zip_derived_cl482_018,plain,
vertex @ ( head_of @ sk__11 ),
inference('s_sup-',[status(thm)],[zip_derived_cl454,zip_derived_cl477]) ).
thf(zip_derived_cl1929,plain,
( ( ( head_of @ sk__11 )
= ( tail_of @ sk__10 ) )
| ( ( tail_of @ sk__10 )
!= ( tail_of @ sk__10 ) )
| ( ( head_of @ sk__11 )
!= ( head_of @ sk__11 ) )
| ( ( head_of @ sk__11 )
!= ( head_of @ sk__11 ) )
| ( ( head_of @ sk__11 )
= ( tail_of @ sk__10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1924,zip_derived_cl471,zip_derived_cl482]) ).
thf(zip_derived_cl1930,plain,
( ( head_of @ sk__11 )
= ( tail_of @ sk__10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl1929]) ).
thf(zip_derived_cl0_019,plain,
! [X0: $i] :
( ( ( head_of @ X0 )
!= ( tail_of @ X0 ) )
| ~ ( edge @ X0 ) ),
inference(cnf,[status(esa)],[no_loops]) ).
thf(zip_derived_cl1974,plain,
( ( ( head_of @ sk__10 )
!= ( head_of @ sk__11 ) )
| ~ ( edge @ sk__10 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1930,zip_derived_cl0]) ).
thf(zip_derived_cl457_020,plain,
on_path @ sk__10 @ sk__12,
inference('s_sup-',[status(thm)],[zip_derived_cl414,zip_derived_cl449]) ).
thf(zip_derived_cl414_021,plain,
path @ sk__8 @ sk__9 @ sk__12,
inference('s_sup-',[status(thm)],[zip_derived_cl61,zip_derived_cl38]) ).
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_cl426,plain,
! [X0: $i] :
( ~ ( on_path @ X0 @ sk__12 )
| ( edge @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl414,zip_derived_cl22]) ).
thf(zip_derived_cl465,plain,
edge @ sk__10,
inference('s_sup-',[status(thm)],[zip_derived_cl457,zip_derived_cl426]) ).
thf(zip_derived_cl2012,plain,
( ( head_of @ sk__10 )
!= ( head_of @ sk__11 ) ),
inference(demod,[status(thm)],[zip_derived_cl1974,zip_derived_cl465]) ).
thf(zip_derived_cl61_022,plain,
shortest_path @ sk__8 @ sk__9 @ sk__12,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl454_023,plain,
on_path @ sk__11 @ sk__12,
inference('s_sup-',[status(thm)],[zip_derived_cl414,zip_derived_cl443]) ).
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_cl457_024,plain,
on_path @ sk__10 @ sk__12,
inference('s_sup-',[status(thm)],[zip_derived_cl414,zip_derived_cl449]) ).
thf(zip_derived_cl414_025,plain,
path @ sk__8 @ sk__9 @ sk__12,
inference('s_sup-',[status(thm)],[zip_derived_cl61,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_cl495,plain,
! [X0: $i,X1: $i] :
( ( precedes @ X1 @ X0 @ sk__12 )
| ~ ( sequential @ X1 @ X0 )
| ~ ( on_path @ X0 @ sk__12 )
| ~ ( on_path @ X1 @ sk__12 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl414,zip_derived_cl32]) ).
thf(zip_derived_cl539,plain,
! [X0: $i] :
( ( precedes @ X0 @ sk__10 @ sk__12 )
| ~ ( sequential @ X0 @ sk__10 )
| ~ ( on_path @ X0 @ sk__12 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl457,zip_derived_cl495]) ).
thf(zip_derived_cl553,plain,
! [X0: $i] :
( ~ ( edge @ X0 )
| ~ ( edge @ sk__10 )
| ( X0 = sk__10 )
| ( ( head_of @ X0 )
!= ( tail_of @ sk__10 ) )
| ( precedes @ X0 @ sk__10 @ sk__12 )
| ~ ( on_path @ X0 @ sk__12 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl30,zip_derived_cl539]) ).
thf(zip_derived_cl465_026,plain,
edge @ sk__10,
inference('s_sup-',[status(thm)],[zip_derived_cl457,zip_derived_cl426]) ).
thf(zip_derived_cl554,plain,
! [X0: $i] :
( ~ ( edge @ X0 )
| ( X0 = sk__10 )
| ( ( head_of @ X0 )
!= ( tail_of @ sk__10 ) )
| ( precedes @ X0 @ sk__10 @ sk__12 )
| ~ ( on_path @ X0 @ sk__12 ) ),
inference(demod,[status(thm)],[zip_derived_cl553,zip_derived_cl465]) ).
thf(zip_derived_cl426_027,plain,
! [X0: $i] :
( ~ ( on_path @ X0 @ sk__12 )
| ( edge @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl414,zip_derived_cl22]) ).
thf(zip_derived_cl587,plain,
! [X0: $i] :
( ~ ( on_path @ X0 @ sk__12 )
| ( precedes @ X0 @ sk__10 @ sk__12 )
| ( ( head_of @ X0 )
!= ( tail_of @ sk__10 ) )
| ( X0 = sk__10 ) ),
inference(clc,[status(thm)],[zip_derived_cl554,zip_derived_cl426]) ).
thf(zip_derived_cl590,plain,
( ( precedes @ sk__11 @ sk__10 @ sk__12 )
| ( ( head_of @ sk__11 )
!= ( tail_of @ sk__10 ) )
| ( sk__11 = sk__10 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl454,zip_derived_cl587]) ).
thf(zip_derived_cl1930_028,plain,
( ( head_of @ sk__11 )
= ( tail_of @ sk__10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl1929]) ).
thf(zip_derived_cl1938,plain,
( ( precedes @ sk__11 @ sk__10 @ sk__12 )
| ( ( head_of @ sk__11 )
!= ( head_of @ sk__11 ) )
| ( sk__11 = sk__10 ) ),
inference(demod,[status(thm)],[zip_derived_cl590,zip_derived_cl1930]) ).
thf(zip_derived_cl1939,plain,
( ( sk__11 = sk__10 )
| ( precedes @ sk__11 @ sk__10 @ sk__12 ) ),
inference(simplify,[status(thm)],[zip_derived_cl1938]) ).
thf(zip_derived_cl62_029,plain,
precedes @ sk__10 @ sk__11 @ sk__12,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
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_cl417,plain,
! [X0: $i,X1: $i] :
( ~ ( precedes @ sk__11 @ sk__10 @ sk__12 )
| ~ ( shortest_path @ X1 @ X0 @ sk__12 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl62,zip_derived_cl44]) ).
thf(zip_derived_cl2099,plain,
! [X0: $i,X1: $i] :
( ( sk__11 = sk__10 )
| ~ ( shortest_path @ X1 @ X0 @ sk__12 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1939,zip_derived_cl417]) ).
thf(zip_derived_cl2103,plain,
sk__11 = sk__10,
inference('s_sup-',[status(thm)],[zip_derived_cl61,zip_derived_cl2099]) ).
thf(zip_derived_cl2146,plain,
( ( head_of @ sk__10 )
!= ( head_of @ sk__10 ) ),
inference(demod,[status(thm)],[zip_derived_cl2012,zip_derived_cl2103]) ).
thf(zip_derived_cl2147,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl2146]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GRA007+1 : TPTP v8.1.2. Bugfixed v3.2.0.
% 0.07/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.2N6pzLDYvA true
% 0.14/0.36 % Computer : n007.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Sun Aug 27 03:04:12 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % Running portfolio for 300 s
% 0.14/0.36 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.36 % Number of cores: 8
% 0.14/0.36 % Python version: Python 3.6.8
% 0.14/0.37 % Running in FO mode
% 0.21/0.65 % Total configuration time : 435
% 0.21/0.65 % Estimated wc time : 1092
% 0.21/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.72 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 1.31/0.76 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 1.31/0.76 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 1.31/0.76 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 1.31/0.77 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 1.31/0.77 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 1.31/0.77 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 5.30/1.41 % Solved by fo/fo6_bce.sh.
% 5.30/1.41 % BCE start: 63
% 5.30/1.41 % BCE eliminated: 1
% 5.30/1.41 % PE start: 62
% 5.30/1.41 logic: eq
% 5.30/1.41 % PE eliminated: 9
% 5.30/1.41 % done 428 iterations in 0.667s
% 5.30/1.41 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 5.30/1.41 % SZS output start Refutation
% See solution above
% 5.30/1.41
% 5.30/1.41
% 5.30/1.41 % Terminating...
% 5.89/1.46 % Runner terminated.
% 5.89/1.47 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------