TSTP Solution File: GRA003+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GRA003+1 : TPTP v8.1.0. Bugfixed v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n019.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 07:21:53 EDT 2022
% Result : Theorem 0.21s 0.55s
% Output : Refutation 0.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 11
% Syntax : Number of clauses : 27 ( 13 unt; 1 nHn; 27 RR)
% Number of literals : 60 ( 10 equ; 36 neg)
% Maximal clause size : 7 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 32 ( 15 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(6,axiom,
( ~ path(X,Y,Z)
| vertex(X) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GRA001+0.ax',path_properties) ).
cnf(7,axiom,
( ~ path(X,Y,Z)
| vertex(Y) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GRA001+0.ax',path_properties) ).
cnf(15,axiom,
( ~ path(X,Y,Z)
| ~ on_path(U,Z)
| edge(U) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GRA001+0.ax',on_path_properties) ).
cnf(28,axiom,
( ~ path(X,Y,Z)
| ~ precedes(U,V,Z)
| on_path(U,Z) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GRA001+0.ax',precedes_properties) ).
cnf(29,axiom,
( ~ path(X,Y,Z)
| ~ precedes(U,V,Z)
| on_path(V,Z) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GRA001+0.ax',precedes_properties) ).
cnf(33,axiom,
( ~ shortest_path(X,Y,Z)
| path(X,Y,Z) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GRA001+0.ax',shortest_path_defn) ).
cnf(34,axiom,
( ~ shortest_path(X,Y,Z)
| X != Y ),
file('/export/starexec/sandbox2/benchmark/Axioms/GRA001+0.ax',shortest_path_defn) ).
cnf(39,axiom,
( ~ shortest_path(X,Y,Z)
| ~ precedes(U,V,Z)
| ~ precedes(V,U,Z) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GRA001+0.ax',shortest_path_properties) ).
cnf(54,negated_conjecture,
shortest_path('SKOLEMAAAV9','SKOLEMAAAV10','SKOLEMAAAV13'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',vertices_and_edges) ).
cnf(55,negated_conjecture,
precedes('SKOLEMAAAV11','SKOLEMAAAV12','SKOLEMAAAV13'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',vertices_and_edges) ).
cnf(56,negated_conjecture,
( ~ vertex('SKOLEMAAAV9')
| ~ vertex('SKOLEMAAAV10')
| 'SKOLEMAAAV9' = 'SKOLEMAAAV10'
| ~ edge('SKOLEMAAAV11')
| ~ edge('SKOLEMAAAV12')
| 'SKOLEMAAAV11' = 'SKOLEMAAAV12'
| ~ path('SKOLEMAAAV9','SKOLEMAAAV10','SKOLEMAAAV13') ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',vertices_and_edges) ).
cnf(58,plain,
'SKOLEMAAAV9' != 'SKOLEMAAAV10',
inference('UR-RESOLVE',[status(thm)],[34,54]) ).
cnf(59,plain,
( ~ vertex('SKOLEMAAAV9')
| ~ vertex('SKOLEMAAAV10')
| ~ edge('SKOLEMAAAV11')
| ~ edge('SKOLEMAAAV12')
| 'SKOLEMAAAV11' = 'SKOLEMAAAV12'
| ~ path('SKOLEMAAAV9','SKOLEMAAAV10','SKOLEMAAAV13') ),
inference('REWRITE',[status(thm)],[56,58]) ).
cnf(61,plain,
path('SKOLEMAAAV9','SKOLEMAAAV10','SKOLEMAAAV13'),
inference('HYPERRESOLVE',[status(thm)],[33,54]) ).
cnf(62,plain,
( ~ vertex('SKOLEMAAAV9')
| ~ vertex('SKOLEMAAAV10')
| ~ edge('SKOLEMAAAV11')
| ~ edge('SKOLEMAAAV12')
| 'SKOLEMAAAV11' = 'SKOLEMAAAV12' ),
inference('REWRITE',[status(thm)],[59,61]) ).
cnf(63,plain,
~ precedes(X,X,'SKOLEMAAAV13'),
inference('UR-RESOLVE',[status(thm)],[39,54]) ).
cnf(70,plain,
vertex('SKOLEMAAAV10'),
inference('HYPERRESOLVE',[status(thm)],[7,61]) ).
cnf(71,plain,
( ~ vertex('SKOLEMAAAV9')
| ~ edge('SKOLEMAAAV11')
| ~ edge('SKOLEMAAAV12')
| 'SKOLEMAAAV11' = 'SKOLEMAAAV12' ),
inference('REWRITE',[status(thm)],[62,70]) ).
cnf(72,plain,
vertex('SKOLEMAAAV9'),
inference('HYPERRESOLVE',[status(thm)],[6,61]) ).
cnf(73,plain,
( ~ edge('SKOLEMAAAV11')
| ~ edge('SKOLEMAAAV12')
| 'SKOLEMAAAV11' = 'SKOLEMAAAV12' ),
inference('REWRITE',[status(thm)],[71,72]) ).
cnf(74,plain,
on_path('SKOLEMAAAV12','SKOLEMAAAV13'),
inference('HYPERRESOLVE',[status(thm)],[29,61,55]) ).
cnf(75,plain,
on_path('SKOLEMAAAV11','SKOLEMAAAV13'),
inference('HYPERRESOLVE',[status(thm)],[28,61,55]) ).
cnf(90,plain,
edge('SKOLEMAAAV12'),
inference('HYPERRESOLVE',[status(thm)],[15,74,61]) ).
cnf(91,plain,
( ~ edge('SKOLEMAAAV11')
| 'SKOLEMAAAV11' = 'SKOLEMAAAV12' ),
inference('REWRITE',[status(thm)],[73,90]) ).
cnf(95,plain,
edge('SKOLEMAAAV11'),
inference('HYPERRESOLVE',[status(thm)],[15,75,61]) ).
cnf(96,plain,
'SKOLEMAAAV11' = 'SKOLEMAAAV12',
inference('REWRITE',[status(thm)],[91,95]) ).
cnf(97,plain,
$false,
inference('REWRITE',[status(thm)],[55,63,96,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : GRA003+1 : TPTP v8.1.0. Bugfixed v3.2.0.
% 0.14/0.14 % Command : run-snark %s %d
% 0.14/0.35 % Computer : n019.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Tue May 31 02:31:41 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.21/0.48 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.49 *
% 0.21/0.49 *
% 0.21/0.49 #<PACKAGE "SNARK-USER">
% 0.21/0.49 *
% 0.21/0.49 SNARK-TPTP-OPTIONS
% 0.21/0.49 *
% 0.21/0.49 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.50 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.50 (USE-FACTORING :POS)
% 0.21/0.50 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.50 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.50 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.50 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.50 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.50 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.50 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.50 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.50 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.50 (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.50 *
% 0.21/0.50 "."
% 0.21/0.50 *
% 0.21/0.50 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-05-31T02:31:41
% 0.21/0.50 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n019.cluster.edu at 2022-05-31T02:31:41
% 0.21/0.52 WARNING:
% 0.21/0.52 #:|complete| is a proposition that occurs only negatively; disabling rows that contain it.
% 0.21/0.55
% 0.21/0.55
% 0.21/0.55 #||
% 0.21/0.55 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.55 % SZS output start Refutation
% See solution above
% 0.39/0.55 ||#
% 0.39/0.55
% 0.39/0.55 ; Summary of computation:
% 0.39/0.55 ; 140 formulas have been input or derived (from 69 formulas).
% 0.39/0.55 ; 97 (69%) were retained. Of these,
% 0.39/0.55 ; 17 (18%) were simplified or subsumed later,
% 0.39/0.55 ; 80 (82%) are still being kept.
% 0.39/0.55 ;
% 0.39/0.55 ; Run time in seconds excluding printing time:
% 0.39/0.55 ; 0.008 15% Read assertion file (1 call)
% 0.39/0.55 ; 0.002 4% Assert (18 calls)
% 0.39/0.55 ; 0.006 11% Process new row (116 calls)
% 0.39/0.55 ; 0.005 9% Resolution (136 calls)
% 0.39/0.55 ; 0.000 0% Paramodulation (68 calls)
% 0.39/0.55 ; 0.003 5% Condensing (67 calls)
% 0.39/0.55 ; 0.001 2% Forward subsumption (67 calls)
% 0.39/0.55 ; 0.001 2% Backward subsumption (67 calls)
% 0.39/0.55 ; 0.000 0% Clause clause subsumption (25 calls)
% 0.39/0.55 ; 0.004 7% Forward simplification (110 calls)
% 0.39/0.55 ; 0.001 2% Backward simplification (97 calls)
% 0.39/0.55 ; 0.000 0% Ordering (32 calls)
% 0.39/0.55 ; 0.001 2% Sortal reasoning (32 calls)
% 0.39/0.55 ; 0.001 2% Purity testing (1 call)
% 0.39/0.55 ; 0.022 40% Other
% 0.39/0.55 ; 0.055 Total
% 0.39/0.55 ; 0.059 Real time
% 0.39/0.55 ;
% 0.39/0.56 ; Term-hash-array has 150 terms in all.
% 0.39/0.56 ; Feature-vector-row-index has 59 entries (62 at peak, 67 added, 8 deleted).
% 0.39/0.56 ; Feature-vector-row-index has 308 nodes (338 at peak, 398 added, 90 deleted).
% 0.39/0.56 ; Retrieved 16 possibly forward subsuming rows in 67 calls.
% 0.39/0.56 ; Retrieved 9 possibly backward subsumed rows in 67 calls.
% 0.39/0.56 ; Path-index has 144 entries (161 at peak, 182 added, 38 deleted).
% 0.39/0.56 ; Path-index has 396 nodes (426 at peak, 455 added, 59 deleted).
% 0.39/0.56 ; Trie-index has 144 entries (161 at peak, 182 added, 38 deleted).
% 0.39/0.56 ; Trie-index has 355 nodes (394 at peak, 423 added, 68 deleted).
% 0.39/0.56 ; Retrieved 28 generalization terms in 68 calls.
% 0.39/0.56 ; Retrieved 48 instance terms in 29 calls.
% 0.39/0.56 ; Retrieved 2,529 unifiable terms in 625 calls.
% 0.39/0.56 ;
% 0.39/0.56 ; The agenda of backward simplifiable rows to process has 10 entries:
% 0.39/0.56 ; 10 with value 0
% 0.39/0.56 ; The agenda of rows to process has 7 entries:
% 0.39/0.56 ; 3 with value 7 4 with value 9
% 0.39/0.56 ; The agenda of input rows to give has 1 entry:
% 0.39/0.56 ; 1 with value 4
% 0.39/0.56 ; The agenda of rows to give has 16 entries:
% 0.39/0.56 ; 1 with value (4 6) 1 with value (4 12) 1 with value (4 20)
% 0.39/0.56 ; 3 with value (4 7) 1 with value (4 13) 2 with value (4 26)
% 0.39/0.56 ; 2 with value (4 9) 2 with value (4 19) 2 with value (4 27)
% 0.39/0.56 ; 1 with value (4 10)
% 0.39/0.56 Evaluation took:
% 0.39/0.56 0.059 seconds of real time
% 0.39/0.56 0.047454 seconds of user run time
% 0.39/0.56 0.012156 seconds of system run time
% 0.39/0.56 0 calls to %EVAL
% 0.39/0.56 0 page faults and
% 0.39/0.56 4,446,360 bytes consed.
% 0.39/0.56 :PROOF-FOUND
% 0.39/0.56 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-05-31T02:31:41
% 0.39/0.56 :PROOF-FOUND
% 0.39/0.56 *
%------------------------------------------------------------------------------