%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SEU257+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n025.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 : Tue Jul 19 14:20:41 EDT 2022
% Result : Theorem 0.20s 0.50s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 15
% Syntax : Number of clauses : 27 ( 15 unt; 0 nHn; 15 RR)
% Number of literals : 54 ( 0 equ; 28 neg)
% Maximal clause size : 7 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 1 prp; 0-1 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 24 ( 12 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( ~ relation(X)
| ~ well_ordering(X)
| reflexive(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d4_wellord1) ).
cnf(2,axiom,
( ~ relation(X)
| ~ well_ordering(X)
| transitive(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d4_wellord1) ).
cnf(3,axiom,
( ~ relation(X)
| ~ well_ordering(X)
| antisymmetric(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d4_wellord1) ).
cnf(4,axiom,
( ~ relation(X)
| ~ well_ordering(X)
| connected(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d4_wellord1) ).
cnf(5,axiom,
( ~ relation(X)
| ~ well_ordering(X)
| well_founded_relation(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d4_wellord1) ).
cnf(6,axiom,
( ~ relation(X)
| well_ordering(X)
| ~ reflexive(X)
| ~ transitive(X)
| ~ antisymmetric(X)
| ~ connected(X)
| ~ well_founded_relation(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d4_wellord1) ).
cnf(8,axiom,
( ~ relation(X)
| relation(relation_restriction(X,Y)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k2_wellord1) ).
cnf(10,axiom,
( ~ relation(X)
| ~ reflexive(X)
| reflexive(relation_restriction(X,Y)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t22_wellord1) ).
cnf(11,axiom,
( ~ relation(X)
| ~ connected(X)
| connected(relation_restriction(X,Y)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t23_wellord1) ).
cnf(12,axiom,
( ~ relation(X)
| ~ transitive(X)
| transitive(relation_restriction(X,Y)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t24_wellord1) ).
cnf(13,axiom,
( ~ relation(X)
| ~ antisymmetric(X)
| antisymmetric(relation_restriction(X,Y)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t25_wellord1) ).
cnf(14,axiom,
( ~ relation(X)
| ~ well_founded_relation(X)
| well_founded_relation(relation_restriction(X,Y)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t31_wellord1) ).
cnf(15,negated_conjecture,
relation('SKOLEMAAAV2'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t32_wellord1) ).
cnf(16,negated_conjecture,
well_ordering('SKOLEMAAAV2'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t32_wellord1) ).
cnf(17,negated_conjecture,
~ well_ordering(relation_restriction('SKOLEMAAAV2','SKOLEMAAAV1')),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t32_wellord1) ).
cnf(18,plain,
reflexive('SKOLEMAAAV2'),
inference('HYPERRESOLVE',[status(thm)],[1,15,16]) ).
cnf(19,plain,
transitive('SKOLEMAAAV2'),
inference('HYPERRESOLVE',[status(thm)],[2,15,16]) ).
cnf(20,plain,
antisymmetric('SKOLEMAAAV2'),
inference('HYPERRESOLVE',[status(thm)],[3,15,16]) ).
cnf(21,plain,
connected('SKOLEMAAAV2'),
inference('HYPERRESOLVE',[status(thm)],[4,15,16]) ).
cnf(22,plain,
well_founded_relation('SKOLEMAAAV2'),
inference('HYPERRESOLVE',[status(thm)],[5,15,16]) ).
cnf(23,plain,
relation(relation_restriction('SKOLEMAAAV2',X)),
inference('HYPERRESOLVE',[status(thm)],[8,15]) ).
cnf(25,plain,
reflexive(relation_restriction('SKOLEMAAAV2',X)),
inference('HYPERRESOLVE',[status(thm)],[10,18,15]) ).
cnf(26,plain,
transitive(relation_restriction('SKOLEMAAAV2',X)),
inference('HYPERRESOLVE',[status(thm)],[12,19,15]) ).
cnf(27,plain,
antisymmetric(relation_restriction('SKOLEMAAAV2',X)),
inference('HYPERRESOLVE',[status(thm)],[13,20,15]) ).
cnf(28,plain,
connected(relation_restriction('SKOLEMAAAV2',X)),
inference('HYPERRESOLVE',[status(thm)],[11,21,15]) ).
cnf(29,plain,
well_founded_relation(relation_restriction('SKOLEMAAAV2',X)),
inference('HYPERRESOLVE',[status(thm)],[14,22,15]) ).
cnf(35,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[6,28,23,17,25,26,27]),29]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SEU257+1 : TPTP v8.1.0. Released v3.3.0.
% 0.11/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n025.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Mon Jun 20 04:43:59 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.45 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.46 *
% 0.20/0.47 *
% 0.20/0.47 #<PACKAGE "SNARK-USER">
% 0.20/0.47 *
% 0.20/0.47 SNARK-TPTP-OPTIONS
% 0.20/0.47 *
% 0.20/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.47 (USE-FACTORING :POS)
% 0.20/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.47 *
% 0.20/0.47 "."
% 0.20/0.47 *
% 0.20/0.47 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-20T04:43:59
% 0.20/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n025.cluster.edu at 2022-06-20T04:43:59
% 0.20/0.48
% 0.20/0.49 ; Recognized commutativity assertion (= (|set_intersection2| ?X ?Y) (|set_intersection2| ?Y ?X)).
% 0.20/0.50 ; Declaring set_intersection2 to be commutative.
% 0.20/0.50
% 0.20/0.50 #||
% 0.20/0.50 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.50 % SZS output start Refutation
% See solution above
% 0.20/0.51 ||#
% 0.20/0.51
% 0.20/0.51 ; Summary of computation:
% 0.20/0.51 ; 58 formulas have been input or derived (from 28 formulas).
% 0.20/0.51 ; 35 (60%) were retained. Of these,
% 0.20/0.51 ; 35 (100%) are still being kept.
% 0.20/0.51 ;
% 0.20/0.51 ; Run time in seconds excluding printing time:
% 0.20/0.51 ; 0.003 10% Read assertion file (1 call)
% 0.20/0.51 ; 0.001 3% Assert (13 calls)
% 0.20/0.51 ; 0.003 10% Process new row (38 calls)
% 0.20/0.51 ; 0.002 6% Resolution (54 calls)
% 0.20/0.51 ; 0.000 0% Paramodulation (27 calls)
% 0.20/0.51 ; 0.000 0% Condensing (13 calls)
% 0.20/0.51 ; 0.000 0% Forward subsumption (13 calls)
% 0.20/0.51 ; 0.000 0% Backward subsumption (13 calls)
% 0.20/0.51 ; 0.001 3% Forward simplification (38 calls)
% 0.20/0.51 ; 0.001 3% Backward simplification (35 calls)
% 0.20/0.51 ; 0.000 0% Ordering (8 calls)
% 0.20/0.51 ; 0.000 0% Sortal reasoning (32 calls)
% 0.20/0.51 ; 0.000 0% Purity testing (1 call)
% 0.20/0.51 ; 0.020 65% Other
% 0.20/0.51 ; 0.031 Total
% 0.20/0.51 ; 0.034 Real time
% 0.20/0.51 ;
% 0.20/0.51 ; Term-hash-array has 45 terms in all.
% 0.20/0.51 ; Feature-vector-row-index has 13 entries (13 at peak, 13 added, 0 deleted).
% 0.20/0.51 ; Feature-vector-row-index has 44 nodes (44 at peak, 44 added, 0 deleted).
% 0.20/0.51 ; Retrieved 0 possibly forward subsuming rows in 13 calls.
% 0.20/0.51 ; Retrieved 0 possibly backward subsumed rows in 13 calls.
% 0.20/0.51 ; Path-index has 47 entries (47 at peak, 47 added, 0 deleted).
% 0.20/0.51 ; Path-index has 141 nodes (141 at peak, 141 added, 0 deleted).
% 0.20/0.51 ; Trie-index has 47 entries (47 at peak, 47 added, 0 deleted).
% 0.20/0.51 ; Trie-index has 133 nodes (133 at peak, 133 added, 0 deleted).
% 0.20/0.51 ; Retrieved 4 generalization terms in 15 calls.
% 0.20/0.51 ; Retrieved 22 instance terms in 21 calls.
% 0.20/0.51 ; Retrieved 579 unifiable terms in 338 calls.
% 0.20/0.51 ;
% 0.20/0.51 ; The agenda of rows to process has 1 entry:
% 0.20/0.51 ; 1 with value 12
% 0.20/0.51 ; The agenda of rows to give has 7 entries:
% 0.20/0.51 ; 1 with value (4 8) 3 with value (4 12) 1 with value (4 18)
% 0.20/0.51 ; 1 with value (4 11) 1 with value (4 13)
% 0.20/0.51 Evaluation took:
% 0.20/0.51 0.034 seconds of real time
% 0.20/0.51 0.027221 seconds of user run time
% 0.20/0.51 0.007469 seconds of system run time
% 0.20/0.51 0 calls to %EVAL
% 0.20/0.51 0 page faults and
% 0.20/0.51 3,075,344 bytes consed.
% 0.20/0.51 :PROOF-FOUND
% 0.20/0.51 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-20T04:43:59
% 0.20/0.51 :PROOF-FOUND
% 0.20/0.51 *
%------------------------------------------------------------------------------