TSTP Solution File: LAT042-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : LAT042-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n007.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 06:42:00 EDT 2022
% Result : Unsatisfiable 0.35s 0.52s
% Output : Refutation 0.35s
% Verified :
% SZS Type : Refutation
% Derivation depth : 1
% Number of leaves : 4
% 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 : 4 ( 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 : 6 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(idempotence_of_meet,axiom,
meet(X,X) = X,
file('/export/starexec/sandbox2/benchmark/Axioms/LAT001-0.ax',idempotence_of_meet) ).
cnf(absorption2,axiom,
join(X,meet(X,Y)) = X,
file('/export/starexec/sandbox2/benchmark/Axioms/LAT001-0.ax',absorption2) ).
cnf(distributivity,axiom,
meet(X,join(Y,Z)) = join(meet(X,Y),meet(X,Z)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',distributivity) ).
cnf(prove_modular_law,negated_conjecture,
join(a,meet(b,join(a,c))) != meet(join(a,b),join(a,c)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_modular_law) ).
cnf(17,plain,
$false,
inference('REWRITE',[status(thm)],[prove_modular_law,idempotence_of_meet,absorption2,distributivity,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LAT042-1 : TPTP v8.1.0. Released v2.5.0.
% 0.07/0.13 % Command : run-snark %s %d
% 0.13/0.35 % Computer : n007.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Tue Jun 28 19:05:07 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.48 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.49 *
% 0.20/0.49 *
% 0.20/0.49 #<PACKAGE "SNARK-USER">
% 0.20/0.49 *
% 0.20/0.49 SNARK-TPTP-OPTIONS
% 0.20/0.49 *
% 0.20/0.49 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.49 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.49 (USE-FACTORING :POS)
% 0.20/0.49 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.49 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.49 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.49 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.49 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.49 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.49 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.49 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.49 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.49 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.49 *
% 0.20/0.49 "."
% 0.20/0.49 *
% 0.20/0.49 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-28T19:05:07
% 0.20/0.49 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n007.cluster.edu at 2022-06-28T19:05:07
% 0.20/0.51
% 0.20/0.51 ; Recognized commutativity assertion (= (|meet| ?X ?Y) (|meet| ?Y ?X)).
% 0.20/0.51 ; Recognized commutativity assertion (= (|join| ?X ?Y) (|join| ?Y ?X)).
% 0.20/0.51 ; Recognized associativity assertion (= (|meet| (|meet| ?X ?Y) ?Z) (|meet| ?X (|meet| ?Y ?Z))).
% 0.20/0.51 ; Recognized associativity assertion (= (|join| (|join| ?X ?Y) ?Z) (|join| ?X (|join| ?Y ?Z))).
% 0.20/0.51 ; Recognized possible left inverse assertion (= (|join| (|complement| ?X) ?X) |n1|).
% 0.20/0.51 ; Recognized possible left inverse assertion (= (|meet| (|complement| ?X) ?X) |n0|).
% 0.20/0.51 ; Declaring meet to be commutative.
% 0.20/0.51 ; Declaring meet to be associative-commutative.
% 0.20/0.51 ; Declaring join to be commutative.
% 0.35/0.52 ; Declaring join to be associative-commutative.
% 0.35/0.52
% 0.35/0.52 #||
% 0.35/0.52 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.35/0.52 % SZS output start Refutation
% See solution above
% 0.35/0.52 ||#
% 0.35/0.52
% 0.35/0.52 ; Summary of computation:
% 0.35/0.52 ; 22 formulas have been input or derived (from 1 formulas).
% 0.35/0.52 ; 17 (77%) were retained. Of these,
% 0.35/0.52 ; 3 (18%) were simplified or subsumed later,
% 0.35/0.52 ; 14 (82%) are still being kept.
% 0.35/0.52 ;
% 0.35/0.52 ; Run time in seconds excluding printing time:
% 0.35/0.52 ; 0.003 11% Read assertion file (1 call)
% 0.35/0.52 ; 0.001 4% Assert (13 calls)
% 0.35/0.52 ; 0.000 0% Process new row (20 calls)
% 0.35/0.52 ; 0.001 4% Embedding (7 calls)
% 0.35/0.52 ; 0.000 0% Forward simplification (13 calls)
% 0.35/0.52 ; 0.000 0% Backward simplification (9 calls)
% 0.35/0.52 ; 0.000 0% Ordering (15 calls)
% 0.35/0.52 ; 0.000 0% Ordering ac (4 calls)
% 0.35/0.52 ; 0.000 0% Sortal reasoning (32 calls)
% 0.35/0.52 ; 0.000 0% Purity testing (1 call)
% 0.35/0.52 ; 0.022 81% Other
% 0.35/0.52 ; 0.027 Total
% 0.35/0.52 ; 0.030 Real time
% 0.35/0.52 ;
% 0.35/0.52 ; Term-hash-array has 40 terms in all.
% 0.35/0.52 ; Feature-vector-row-index has 0 entries (0 at peak, 0 added, 0 deleted).
% 0.35/0.52 ; Feature-vector-row-index has 1 node (1 at peak, 1 added, 0 deleted).
% 0.35/0.52 ; Path-index has 41 entries (41 at peak, 45 added, 4 deleted).
% 0.35/0.52 ; Path-index has 49 nodes (49 at peak, 49 added, 0 deleted).
% 0.35/0.52 ; Trie-index has 41 entries (41 at peak, 45 added, 4 deleted).
% 0.35/0.52 ; Trie-index has 26 nodes (26 at peak, 26 added, 0 deleted).
% 0.35/0.52 ; Retrieved 66 generalization terms in 29 calls.
% 0.35/0.52 ; Retrieved 10 instance terms in 8 calls.
% 0.35/0.52 ;
% 0.35/0.52 ; The agenda of backward simplifiable rows to process has 1 entry:
% 0.35/0.52 ; 1 with value 0
% 0.35/0.52 ; The agenda of input rows to give has 13 entries:
% 0.35/0.52 ; 4 with value 7 4 with value 9 2 with value 16
% 0.35/0.52 ; 1 with value 8 2 with value 10
% 0.35/0.52 Evaluation took:
% 0.35/0.52 0.03 seconds of real time
% 0.35/0.52 0.025664 seconds of user run time
% 0.35/0.52 0.004081 seconds of system run time
% 0.35/0.52 0 calls to %EVAL
% 0.35/0.52 0 page faults and
% 0.35/0.52 1,571,880 bytes consed.
% 0.35/0.52 :PROOF-FOUND
% 0.35/0.52 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-28T19:05:07
% 0.35/0.52 :PROOF-FOUND
% 0.35/0.52 *
%------------------------------------------------------------------------------