TSTP Solution File: LAT033-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : LAT033-1 : TPTP v8.1.0. Bugfixed v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n004.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 : Sun Jul 17 06:41:57 EDT 2022
% Result : Unsatisfiable 0.21s 0.51s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 3
% Syntax : Number of clauses : 5 ( 5 unt; 0 nHn; 2 RR)
% Number of literals : 5 ( 4 equ; 1 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 1 con; 0-2 aty)
% Number of variables : 5 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(absorption1,axiom,
meet(X,join(X,Y)) = X,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',absorption1) ).
cnf(absorption2,axiom,
join(X,meet(X,Y)) = X,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',absorption2) ).
cnf(idempotence_of_join,negated_conjecture,
join(xx,xx) != xx,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',idempotence_of_join) ).
cnf(14,plain,
join(X,X) = X,
inference('PARAMODULATE',[status(thm)],[absorption2,absorption1,theory(equality)]) ).
cnf(16,plain,
$false,
inference('REWRITE',[status(thm)],[idempotence_of_join,14,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LAT033-1 : TPTP v8.1.0. Bugfixed v2.5.0.
% 0.03/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n004.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 : Wed Jun 29 09:01:23 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.21/0.46 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.47 *
% 0.21/0.47 *
% 0.21/0.48 #<PACKAGE "SNARK-USER">
% 0.21/0.48 *
% 0.21/0.48 SNARK-TPTP-OPTIONS
% 0.21/0.48 *
% 0.21/0.48 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.48 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.48 (USE-FACTORING :POS)
% 0.21/0.48 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.48 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.48 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.48 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.48 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.48 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.48 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.48 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.48 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.48 (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.48 *
% 0.21/0.48 "."
% 0.21/0.48 *
% 0.21/0.48 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-29T09:01:23
% 0.21/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n004.cluster.edu at 2022-06-29T09:01:23
% 0.21/0.49
% 0.21/0.49 ; Recognized commutativity assertion (= (|meet| ?X ?Y) (|meet| ?Y ?X)).
% 0.21/0.49 ; Recognized commutativity assertion (= (|join| ?X ?Y) (|join| ?Y ?X)).
% 0.21/0.49 ; Recognized associativity assertion (= (|meet| (|meet| ?X ?Y) ?Z) (|meet| ?X (|meet| ?Y ?Z))).
% 0.21/0.49 ; Recognized associativity assertion (= (|join| (|join| ?X ?Y) ?Z) (|join| ?X (|join| ?Y ?Z))).
% 0.21/0.49 ; Declaring meet to be commutative.
% 0.21/0.49 ; Declaring meet to be associative-commutative.
% 0.21/0.49 ; Declaring join to be commutative.
% 0.21/0.51 ; Declaring join to be associative-commutative.
% 0.21/0.51
% 0.21/0.51 #||
% 0.21/0.51 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.51 % SZS output start Refutation
% See solution above
% 0.21/0.51 ||#
% 0.21/0.51
% 0.21/0.51 ; Summary of computation:
% 0.21/0.51 ; 76 formulas have been input or derived (from 5 formulas).
% 0.21/0.51 ; 16 (21%) were retained. Of these,
% 0.21/0.51 ; 1 ( 6%) were simplified or subsumed later,
% 0.21/0.51 ; 15 (94%) are still being kept.
% 0.21/0.51 ;
% 0.21/0.51 ; Run time in seconds:
% 0.21/0.51 ; 0.001 3% Read assertion file (1 call)
% 0.21/0.51 ; 0.001 3% Assert (7 calls)
% 0.21/0.51 ; 0.004 12% Process new row (45 calls)
% 0.21/0.51 ; 0.001 3% Resolution (8 calls)
% 0.21/0.51 ; 0.002 6% Paramodulation (4 calls)
% 0.21/0.51 ; 0.001 3% Embedding (7 calls)
% 0.21/0.51 ; 0.002 6% Forward simplification (38 calls)
% 0.21/0.51 ; 0.000 0% Backward simplification (9 calls)
% 0.21/0.51 ; 0.000 0% Ordering (32 calls)
% 0.21/0.51 ; 0.000 0% Ordering ac (12 calls)
% 0.21/0.51 ; 0.000 0% Sortal reasoning (32 calls)
% 0.21/0.51 ; 0.000 0% Purity testing (1 call)
% 0.21/0.51 ; 0.021 64% Other
% 0.21/0.51 ; 0.033 Total
% 0.21/0.51 ; 0.034 Real time
% 0.21/0.51 ;
% 0.21/0.51 ; Term-hash-array has 52 terms in all.
% 0.21/0.51 ; Feature-vector-row-index has 0 entries (0 at peak, 0 added, 0 deleted).
% 0.21/0.51 ; Feature-vector-row-index has 1 node (1 at peak, 1 added, 0 deleted).
% 0.21/0.51 ; Path-index has 51 entries (51 at peak, 54 added, 3 deleted).
% 0.21/0.51 ; Path-index has 36 nodes (39 at peak, 40 added, 4 deleted).
% 0.21/0.51 ; Trie-index has 51 entries (51 at peak, 54 added, 3 deleted).
% 0.21/0.51 ; Trie-index has 11 nodes (12 at peak, 13 added, 2 deleted).
% 0.21/0.51 ; Retrieved 158 generalization terms in 123 calls.
% 0.21/0.51 ; Retrieved 43 instance terms in 8 calls.
% 0.21/0.51 ; Retrieved 30 unifiable terms in 19 calls.
% 0.21/0.51 ;
% 0.21/0.51 ; The agenda of rows to process has 24 entries:
% 0.21/0.51 ; 2 with value 10 2 with value 17 1 with value 26
% 0.21/0.51 ; 4 with value 11 1 with value 19 1 with value 27
% 0.21/0.51 ; 2 with value 12 2 with value 20 1 with value 31
% 0.21/0.51 ; 2 with value 13 1 with value 22 1 with value 33
% 0.21/0.51 ; 2 with value 15 2 with value 25
% 0.21/0.51 ; The agenda of input rows to give has 1 entry:
% 0.21/0.51 ; 1 with value 10
% 0.21/0.51 ; The agenda of rows to give has 10 entries:
% 0.21/0.52 ; 4 with value (4 8) 2 with value (4 24) 2 with value (4 30)
% 0.21/0.52 ; 2 with value (4 21)
% 0.21/0.52 Evaluation took:
% 0.21/0.52 0.034 seconds of real time
% 0.21/0.52 0.02823 seconds of user run time
% 0.21/0.52 0.00621 seconds of system run time
% 0.21/0.52 0 calls to %EVAL
% 0.21/0.52 0 page faults and
% 0.21/0.52 1,772,392 bytes consed.
% 0.21/0.52 :PROOF-FOUND
% 0.21/0.52 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-29T09:01:23
% 0.21/0.52 :PROOF-FOUND
% 0.21/0.52 *
%------------------------------------------------------------------------------