TSTP Solution File: LAT019-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : LAT019-1 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n014.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 06:41:52 EDT 2022
% Result : Unsatisfiable 0.18s 0.50s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 5
% Syntax : Number of clauses : 10 ( 10 unt; 0 nHn; 3 RR)
% Number of literals : 10 ( 9 equ; 2 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 16 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(idempotence_of_meet,axiom,
meet(X,X) = X,
file('/export/starexec/sandbox/benchmark/Axioms/LAT004-0.ax',idempotence_of_meet) ).
cnf(idempotence_of_join,axiom,
join(X,X) = X,
file('/export/starexec/sandbox/benchmark/Axioms/LAT004-0.ax',idempotence_of_join) ).
cnf(quasi_lattice2,axiom,
meet(join(X,meet(Y,Z)),join(X,Y)) = join(X,meet(Y,Z)),
file('/export/starexec/sandbox/benchmark/Axioms/LAT004-0.ax',quasi_lattice2) ).
cnf(distributivity_law,hypothesis,
meet(X,join(Y,Z)) = join(meet(X,Y),meet(X,Z)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',distributivity_law) ).
cnf(prove_distributivity_law_dual,negated_conjecture,
join(a,meet(b,c)) != meet(join(a,b),join(a,c)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_distributivity_law_dual) ).
cnf(12,plain,
join(a,meet(b,c)) != join(a,join(meet(a,b),join(meet(c,a),meet(b,c)))),
inference('REWRITE',[status(thm)],[prove_distributivity_law_dual,idempotence_of_meet,distributivity_law,theory(equality)]) ).
cnf(13,plain,
join(X,join(meet(X,meet(Y,Z)),join(meet(X,Y),meet(Y,Z)))) = join(X,meet(Y,Z)),
inference('REWRITE',[status(thm)],[quasi_lattice2,idempotence_of_meet,distributivity_law,theory(equality)]) ).
cnf(15,plain,
join(X,join(Y,meet(X,Y))) = join(X,Y),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[idempotence_of_meet,distributivity_law,theory(equality)]),idempotence_of_join,idempotence_of_meet,distributivity_law,theory(equality)]) ).
cnf(17,plain,
join(meet(X,Y),join(X,meet(Y,Z))) = join(X,meet(Y,Z)),
inference('REWRITE',[status(thm)],[13,15,theory(equality)]) ).
cnf(19,plain,
$false,
inference('REWRITE',[status(thm)],[12,17,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : LAT019-1 : TPTP v8.1.0. Released v2.2.0.
% 0.06/0.13 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n014.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Thu Jun 30 10:28:41 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.18/0.45 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.46 *
% 0.18/0.46 *
% 0.18/0.46 #<PACKAGE "SNARK-USER">
% 0.18/0.46 *
% 0.18/0.46 SNARK-TPTP-OPTIONS
% 0.18/0.46 *
% 0.18/0.46 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.18/0.46 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.18/0.46 (USE-FACTORING :POS)
% 0.18/0.46 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.18/0.46 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.18/0.46 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.18/0.46 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.18/0.46 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.18/0.46 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.18/0.46 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.18/0.46 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.18/0.46 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.18/0.46 (DECLARE-TPTP-SYMBOLS2))
% 0.18/0.46 *
% 0.18/0.47 "."
% 0.18/0.47 *
% 0.18/0.47 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-30T10:28:41
% 0.18/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n014.cluster.edu at 2022-06-30T10:28:41
% 0.18/0.48
% 0.18/0.48 ; Recognized commutativity assertion (= (|meet| ?X ?Y) (|meet| ?Y ?X)).
% 0.18/0.48 ; Recognized commutativity assertion (= (|join| ?X ?Y) (|join| ?Y ?X)).
% 0.18/0.48 ; Recognized associativity assertion (= (|meet| (|meet| ?X ?Y) ?Z) (|meet| ?X (|meet| ?Y ?Z))).
% 0.18/0.48 ; Recognized associativity assertion (= (|join| (|join| ?X ?Y) ?Z) (|join| ?X (|join| ?Y ?Z))).
% 0.18/0.48 ; Declaring meet to be commutative.
% 0.18/0.48 ; Declaring meet to be associative-commutative.
% 0.18/0.48 ; Declaring join to be commutative.
% 0.18/0.50 ; Declaring join to be associative-commutative.
% 0.18/0.50
% 0.18/0.50 #||
% 0.18/0.50 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.50 % SZS output start Refutation
% See solution above
% 0.18/0.50 ||#
% 0.18/0.50
% 0.18/0.50 ; Summary of computation:
% 0.18/0.50 ; 70 formulas have been input or derived (from 6 formulas).
% 0.18/0.50 ; 19 (27%) were retained. Of these,
% 0.18/0.50 ; 8 (42%) were simplified or subsumed later,
% 0.18/0.50 ; 11 (58%) are still being kept.
% 0.18/0.50 ;
% 0.18/0.50 ; Run time in seconds excluding printing time:
% 0.18/0.50 ; 0.003 9% Read assertion file (1 call)
% 0.18/0.50 ; 0.000 0% Assert (10 calls)
% 0.18/0.50 ; 0.002 6% Process new row (34 calls)
% 0.18/0.50 ; 0.000 0% Resolution (10 calls)
% 0.18/0.50 ; 0.003 9% Paramodulation (5 calls)
% 0.18/0.50 ; 0.000 0% Embedding (8 calls)
% 0.18/0.50 ; 0.001 3% Forward simplification (26 calls)
% 0.18/0.50 ; 0.002 6% Backward simplification (10 calls)
% 0.18/0.50 ; 0.001 3% Ordering (47 calls)
% 0.18/0.50 ; 0.000 0% Ordering ac (37 calls)
% 0.18/0.50 ; 0.000 0% Sortal reasoning (32 calls)
% 0.18/0.50 ; 0.000 0% Purity testing (1 call)
% 0.18/0.50 ; 0.022 65% Other
% 0.18/0.50 ; 0.034 Total
% 0.18/0.50 ; 0.035 Real time
% 0.18/0.50 ;
% 0.18/0.50 ; Term-hash-array has 51 terms in all.
% 0.18/0.50 ; Feature-vector-row-index has 0 entries (0 at peak, 0 added, 0 deleted).
% 0.18/0.50 ; Feature-vector-row-index has 1 node (1 at peak, 1 added, 0 deleted).
% 0.18/0.50 ; Path-index has 33 entries (37 at peak, 62 added, 29 deleted).
% 0.18/0.50 ; Path-index has 28 nodes (39 at peak, 46 added, 18 deleted).
% 0.18/0.50 ; Trie-index has 33 entries (37 at peak, 62 added, 29 deleted).
% 0.18/0.50 ; Trie-index has 14 nodes (14 at peak, 18 added, 4 deleted).
% 0.18/0.50 ; Retrieved 180 generalization terms in 110 calls.
% 0.18/0.50 ; Retrieved 29 instance terms in 9 calls.
% 0.18/0.50 ; Retrieved 66 unifiable terms in 21 calls.
% 0.18/0.50 ;
% 0.18/0.50 ; The agenda of rows to process has 35 entries:
% 0.18/0.50 ; 4 with value 20 7 with value 26 4 with value 30
% 0.18/0.50 ; 1 with value 21 1 with value 27 2 with value 32
% 0.18/0.50 ; 3 with value 22 3 with value 28 3 with value 36
% 0.18/0.50 ; 7 with value 24
% 0.18/0.50 ; The agenda of input rows to give has 3 entries:
% 0.18/0.50 ; 1 with value 16 2 with value 18
% 0.18/0.50 ; The agenda of rows to give has 2 entries:
% 0.18/0.50 ; 2 with value (4 15)
% 0.18/0.50 Evaluation took:
% 0.18/0.50 0.035 seconds of real time
% 0.18/0.50 0.030338 seconds of user run time
% 0.18/0.50 0.005155 seconds of system run time
% 0.18/0.50 0 calls to %EVAL
% 0.18/0.50 0 page faults and
% 0.18/0.50 2,338,200 bytes consed.
% 0.18/0.50 :PROOF-FOUND
% 0.18/0.50 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-30T10:28:41
% 0.18/0.50 :PROOF-FOUND
% 0.18/0.50 *
%------------------------------------------------------------------------------