TSTP Solution File: GRA003+1 by Fampire---1.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Fampire---1.3
% Problem : GRA003+1 : TPTP v8.1.0. Bugfixed v3.2.0.
% Transfm : none
% Format : tptp
% Command : FlotterOnTPTP.pl -f oldtptp -s vampire -t %d %s
% Computer : n029.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 : 600s
% DateTime : Sat Jul 16 07:16:23 EDT 2022
% Result : Unknown 0.11s 0.38s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.11 % Problem : GRA003+1 : TPTP v8.1.0. Bugfixed v3.2.0.
% 0.09/0.11 % Command : FlotterOnTPTP.pl -f oldtptp -s vampire -t %d %s
% 0.11/0.32 % Computer : n029.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 600
% 0.11/0.32 % DateTime : Tue May 31 02:36:44 EDT 2022
% 0.11/0.32 % CPUTime :
% 0.11/0.32 cs: Command not found.
% 0.11/0.38
% 0.11/0.38 ERROR: Cannot translate to DFG with tptp4X
% 0.11/0.38 %--------------------------------------------------------------------------
% 0.11/0.38 % File : GRA003+1 : TPTP v8.0.0. Bugfixed v3.2.0.
% 0.11/0.38 % Domain : Graph Theory
% 0.11/0.38 % Problem : Parts of paths
% 0.11/0.38 % Version : Especial.
% 0.11/0.38 % English : In a shortest path P from V1 to V2 with edges E1 and E2, E1
% 0.11/0.38 % preceding E2, P is a path, V1 and V2 are vertices, and E1 and
% 0.11/0.38 % E2 are distinct edges.
% 0.11/0.38
% 0.11/0.38 % Refs :
% 0.11/0.38 % Source : [TPTP]
% 0.11/0.38 % Names :
% 0.11/0.38
% 0.11/0.38 % Status : Theorem
% 0.11/0.38 % Rating : 0.17 v7.5.0, 0.19 v7.4.0, 0.13 v7.3.0, 0.14 v7.2.0, 0.10 v7.1.0, 0.13 v7.0.0, 0.10 v6.4.0, 0.12 v6.2.0, 0.20 v6.1.0, 0.23 v6.0.0, 0.26 v5.5.0, 0.19 v5.4.0, 0.25 v5.3.0, 0.30 v5.2.0, 0.15 v5.1.0, 0.24 v5.0.0, 0.25 v4.1.0, 0.30 v4.0.1, 0.39 v4.0.0, 0.38 v3.7.0, 0.25 v3.5.0, 0.26 v3.4.0, 0.32 v3.3.0, 0.21 v3.2.0
% 0.11/0.38
% 0.11/0.38 % Syntax : Number of formulae : 18 ( 1 unt; 0 def)
% 0.11/0.38 % Number of atoms : 99 ( 26 equ)
% 0.11/0.38 % Maximal formula atoms : 9 ( 5 avg)
% 0.11/0.38 % Number of connectives : 89 ( 8 ~; 3 |; 53 &)
% 0.11/0.38 % ( 3 <=>; 17 =>; 2 <=; 3 <~>)
% 0.11/0.38 % Maximal formula depth : 14 ( 9 avg)
% 0.11/0.38 % Maximal term depth : 3 ( 1 avg)
% 0.11/0.38 % Number of predicates : 12 ( 11 usr; 1 prp; 0-3 aty)
% 0.11/0.38 % Number of functors : 12 ( 12 usr; 6 con; 0-2 aty)
% 0.11/0.38 % Number of variables : 70 ( 60 !; 10 ?)
% 0.11/0.38 % SPC : FOF_THM_RFO_SEQ
% 0.11/0.38
% 0.11/0.38 % Comments :
% 0.11/0.38 % Bugfixes : v3.2.0 - Bugfix to GRA001+0.ax
% 0.11/0.38 %--------------------------------------------------------------------------
% 0.11/0.38 %----Include axioms for directed graphs and paths
% 0.11/0.38 %------------------------------------------------------------------------------
% 0.11/0.38 begin_problem(SomeProblem).
% 0.11/0.38 list_of_descriptions.
% 0.11/0.38 name({* BLAH *}).
% 0.11/0.38 author({* BLAH *}).
% 0.11/0.38 status(unknown).
% 0.11/0.38 description({* BLAH *}).
% 0.11/0.38 end_of_list.
% 0.11/0.38 list_of_symbols.
% 0.11/0.38 functions[(edges__dfg,0),(empty__dfg,0),(graph__dfg,0),(head_of__dfg,1),(length_of__dfg,1),(minus__dfg,2),(n1__dfg,0),(number_of_in__dfg,2),(path_cons__dfg,2),(sequential_pairs__dfg,0),(tail_of__dfg,1),(triangles__dfg,0)].
% 0.11/0.38 predicates[(complete__dfg,0),(edge__dfg,1),(in_path__dfg,2),(less_or_equal__dfg,2),(on_path__dfg,2),(path__dfg,3),(precedes__dfg,3),(sequential__dfg,2),(shortest_path__dfg,3),(triangle__dfg,3),(vertex__dfg,1)].
% 0.11/0.38 end_of_list.
% 0.11/0.38
% 0.11/0.38 list_of_formulae(axioms).
% 0.11/0.38
% 0.11/0.38 formula(
% 0.11/0.38 forall([E],
% 0.11/0.38 implies(
% 0.11/0.38 edge__dfg(E),
% 0.11/0.38 not(
% 0.11/0.38 equal(head_of__dfg(E),tail_of__dfg(E))))),
% 0.11/0.38 no_loops).
% 0.11/0.38
% 0.11/0.38 formula(
% 0.11/0.38 forall([E],
% 0.11/0.38 implies(
% 0.11/0.38 edge__dfg(E),
% 0.11/0.38 and(
% 0.11/0.38 vertex__dfg(head_of__dfg(E)),
% 0.11/0.38 vertex__dfg(tail_of__dfg(E))))),
% 0.11/0.38 edge_ends_are_vertices).
% 0.11/0.38
% 0.11/0.38 formula(
% 0.11/0.38 implies(
% 0.11/0.38 complete__dfg,
% 0.11/0.38 forall([V1,V2],
% 0.11/0.38 implies(
% 0.11/0.38 and(
% 0.11/0.38 vertex__dfg(V1),
% 0.11/0.38 and(
% 0.11/0.38 vertex__dfg(V2),
% 0.11/0.38 not(
% 0.11/0.38 equal(V1,V2)))),
% 0.11/0.38 exists([E],
% 0.11/0.38 and(
% 0.11/0.38 edge__dfg(E),
% 0.11/0.38 ERROR: (JJ misuse): Not a DFG connective
%------------------------------------------------------------------------------