TSTP Solution File: LAT040-1 by SNARK---20120808r022
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : LAT040-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n021.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 06:41:59 EDT 2022
% Result : Unsatisfiable 0.61s 0.81s
% Output : Refutation 0.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 6
% Syntax : Number of clauses : 14 ( 14 unt; 0 nHn; 5 RR)
% Number of literals : 14 ( 13 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 : 13 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(idempotence_of_meet,axiom,
meet(X,X) = X,
file('/export/starexec/sandbox2/benchmark/Axioms/LAT001-0.ax',idempotence_of_meet) ).
cnf(2,plain,
meet(X,meet(X,Y)) = meet(X,Y),
inference('EMBED',[status(thm)],[idempotence_of_meet]) ).
cnf(absorption2,axiom,
join(X,meet(X,Y)) = X,
file('/export/starexec/sandbox2/benchmark/Axioms/LAT001-0.ax',absorption2) ).
cnf(dist_meet,hypothesis,
meet(X,join(Y,Z)) = join(meet(X,Y),meet(X,Z)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dist_meet) ).
cnf(lhs1,hypothesis,
join(xx,yy) = join(xx,zz),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lhs1) ).
cnf(lhs2,hypothesis,
meet(xx,yy) = meet(xx,zz),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lhs2) ).
cnf(16,plain,
meet(xx,meet(zz,X)) = meet(xx,meet(yy,X)),
inference('EMBED',[status(thm)],[lhs2]) ).
cnf(rhs,negated_conjecture,
yy != zz,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rhs) ).
cnf(22,plain,
join(meet(X,zz),meet(xx,meet(yy,X))) = meet(X,zz),
inference('PARAMODULATE',[status(thm)],[absorption2,16,theory(equality)]) ).
cnf(28,plain,
join(meet(X,xx),meet(X,yy)) = join(meet(X,xx),meet(X,zz)),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[dist_meet,lhs1,theory(equality)]),dist_meet,theory(equality)]) ).
cnf(32,plain,
yy = meet(yy,zz),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[22,2,theory(equality)]),absorption2,idempotence_of_meet,28,theory(equality)]) ).
cnf(33,plain,
meet(yy,meet(zz,X)) = meet(X,yy),
inference('EMBED',[status(thm)],[32]) ).
cnf(36,plain,
join(zz,meet(X,yy)) = zz,
inference('PARAMODULATE',[status(thm)],[absorption2,33,theory(equality)]) ).
cnf(42,plain,
$false,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[28,idempotence_of_meet,theory(equality)]),rhs,36,absorption2,32,lhs2,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : LAT040-1 : TPTP v8.1.0. Released v2.4.0.
% 0.11/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n021.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 17:31:42 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.45 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.46 *
% 0.20/0.46 *
% 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 2022-06-29T17:31:42
% 0.20/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n021.cluster.edu at 2022-06-29T17:31:42
% 0.20/0.48
% 0.20/0.48 ; Recognized commutativity assertion (= (|meet| ?X ?Y) (|meet| ?Y ?X)).
% 0.20/0.48 ; Recognized commutativity assertion (= (|join| ?X ?Y) (|join| ?Y ?X)).
% 0.20/0.48 ; Recognized associativity assertion (= (|meet| (|meet| ?X ?Y) ?Z) (|meet| ?X (|meet| ?Y ?Z))).
% 0.20/0.48 ; Recognized associativity assertion (= (|join| (|join| ?X ?Y) ?Z) (|join| ?X (|join| ?Y ?Z))).
% 0.20/0.48 ; Declaring meet to be commutative.
% 0.20/0.48 ; Declaring meet to be associative-commutative.
% 0.20/0.48 ; Declaring join to be commutative.
% 0.61/0.81 ; Declaring join to be associative-commutative.
% 0.61/0.81
% 0.61/0.81 #||
% 0.61/0.81 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.61/0.81 % SZS output start Refutation
% See solution above
% 0.61/0.82 ||#
% 0.61/0.82
% 0.61/0.82 ; Summary of computation:
% 0.61/0.82 ; 843 formulas have been input or derived (from 30 formulas).
% 0.61/0.82 ; 42 ( 5%) were retained. Of these,
% 0.61/0.82 ; 12 (29%) were simplified or subsumed later,
% 0.61/0.82 ; 30 (71%) are still being kept.
% 0.61/0.82 ;
% 0.61/0.82 ; Run time in seconds excluding printing time:
% 0.61/0.82 ; 0.003 1% Read assertion file (1 call)
% 0.61/0.82 ; 0.000 0% Assert (13 calls)
% 0.61/0.82 ; 0.006 2% Process new row (771 calls)
% 0.61/0.82 ; 0.000 0% Resolution (58 calls)
% 0.61/0.82 ; 0.023 7% Paramodulation (29 calls)
% 0.61/0.82 ; 0.000 0% Embedding (20 calls)
% 0.61/0.82 ; 0.279 81% Forward simplification (748 calls)
% 0.61/0.82 ; 0.002 1% Backward simplification (22 calls)
% 0.61/0.82 ; 0.002 1% Ordering (642 calls)
% 0.61/0.82 ; 0.003 1% Ordering ac (477 calls)
% 0.61/0.82 ; 0.000 0% Sortal reasoning (32 calls)
% 0.61/0.82 ; 0.001 0% Purity testing (1 call)
% 0.61/0.82 ; 0.025 7% Other
% 0.61/0.82 ; 0.344 Total
% 0.61/0.82 ; 0.348 Real time
% 0.61/0.82 ;
% 0.61/0.82 ; Term-hash-array has 109 terms in all.
% 0.61/0.82 ; Feature-vector-row-index has 0 entries (0 at peak, 0 added, 0 deleted).
% 0.61/0.82 ; Feature-vector-row-index has 1 node (1 at peak, 1 added, 0 deleted).
% 0.61/0.82 ; Path-index has 84 entries (91 at peak, 114 added, 30 deleted).
% 0.61/0.82 ; Path-index has 46 nodes (46 at peak, 48 added, 2 deleted).
% 0.61/0.82 ; Trie-index has 84 entries (91 at peak, 114 added, 30 deleted).
% 0.61/0.82 ; Trie-index has 19 nodes (19 at peak, 20 added, 1 deleted).
% 0.61/0.82 ; Retrieved 37,244 generalization terms in 8,382 calls.
% 0.61/0.82 ; Retrieved 58 instance terms in 21 calls.
% 0.61/0.82 ; Retrieved 742 unifiable terms in 155 calls.
% 0.61/0.82 ;
% 0.61/0.82 ; The agenda of rows to process has 32 entries:
% 0.61/0.82 ; 1 with value 19 1 with value 31 1 with value 41
% 0.61/0.82 ; 3 with value 20 2 with value 32 2 with value 42
% 0.61/0.82 ; 2 with value 24 2 with value 33 1 with value 45
% 0.61/0.82 ; 1 with value 25 1 with value 34 1 with value 48
% 0.61/0.82 ; 2 with value 26 1 with value 36 2 with value 50
% 0.61/0.82 ; 2 with value 27 3 with value 40 1 with value 54
% 0.61/0.82 ; 3 with value 28
% 0.61/0.82 ; The agenda of rows to give has 5 entries:
% 0.61/0.82 ; 3 with value (4 19) 2 with value (4 26)
% 0.61/0.82 Evaluation took:
% 0.61/0.82 0.348 seconds of real time
% 0.61/0.82 0.329894 seconds of user run time
% 0.61/0.82 0.018453 seconds of system run time
% 0.61/0.82 [Run times include 0.008 seconds GC run time.]
% 0.61/0.82 0 calls to %EVAL
% 0.61/0.82 0 page faults and
% 0.61/0.82 38,543,952 bytes consed.
% 0.61/0.82 :PROOF-FOUND
% 0.61/0.82 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-29T17:31:43
% 0.61/0.82 :PROOF-FOUND
% 0.61/0.82 *
%------------------------------------------------------------------------------