TSTP Solution File: LAT028-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : LAT028-1 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n029.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 06:41:55 EDT 2022
% Result : Unsatisfiable 0.40s 0.59s
% Output : Refutation 0.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 7
% Syntax : Number of clauses : 17 ( 17 unt; 0 nHn; 2 RR)
% Number of literals : 17 ( 16 equ; 1 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; 2 con; 0-2 aty)
% Number of variables : 34 ( 13 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(idempotence_of_meet,axiom,
meet(X,X) = X,
file('/export/starexec/sandbox/benchmark/Axioms/LAT005-0.ax',idempotence_of_meet) ).
cnf(idempotence_of_join,axiom,
join(X,X) = X,
file('/export/starexec/sandbox/benchmark/Axioms/LAT005-0.ax',idempotence_of_join) ).
cnf(wal_1,axiom,
meet(meet(join(X,Y),join(Z,Y)),Y) = Y,
file('/export/starexec/sandbox/benchmark/Axioms/LAT005-0.ax',wal_1) ).
cnf(wal_2,axiom,
join(join(meet(X,Y),meet(Z,Y)),Y) = Y,
file('/export/starexec/sandbox/benchmark/Axioms/LAT005-0.ax',wal_2) ).
cnf(wal_1_2,axiom,
meet2(meet2(join(X,Y),join(Z,Y)),Y) = Y,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',wal_1_2) ).
cnf(wal_2_2,axiom,
join(join(meet2(X,Y),meet2(Z,Y)),Y) = Y,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',wal_2_2) ).
cnf(name,negated_conjecture,
meet(a,b) != meet2(a,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',name) ).
cnf(9,plain,
meet(join(X,Y),Y) = Y,
inference('PARAMODULATE',[status(thm)],[wal_1,idempotence_of_meet,theory(equality)]) ).
cnf(10,plain,
join(meet(X,Y),Y) = Y,
inference('PARAMODULATE',[status(thm)],[wal_2,idempotence_of_join,theory(equality)]) ).
cnf(15,plain,
join(meet2(X,Y),Y) = Y,
inference('PARAMODULATE',[status(thm)],[wal_2_2,idempotence_of_join,theory(equality)]) ).
cnf(24,plain,
meet2(meet2(X,join(Y,meet(Z,X))),meet(Z,X)) = meet(Z,X),
inference('PARAMODULATE',[status(thm)],[wal_1_2,10,theory(equality)]) ).
cnf(32,plain,
meet(X,meet2(X,Y)) = meet2(X,Y),
inference('PARAMODULATE',[status(thm)],[9,15,theory(equality)]) ).
cnf(34,plain,
meet(meet(X,join(Y,meet2(Z,X))),meet2(Z,X)) = meet2(Z,X),
inference('PARAMODULATE',[status(thm)],[wal_1,15,theory(equality)]) ).
cnf(65,plain,
meet2(meet2(X,Y),meet(X,Y)) = meet(X,Y),
inference('PARAMODULATE',[status(thm)],[24,10,theory(equality)]) ).
cnf(71,plain,
meet(meet2(X,Y),meet(X,Y)) = meet(X,Y),
inference('PARAMODULATE',[status(thm)],[32,65,theory(equality)]) ).
cnf(103,plain,
meet(X,Y) = meet2(X,Y),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[34,15,theory(equality)]),71,theory(equality)]) ).
cnf(104,plain,
$false,
inference('REWRITE',[status(thm)],[name,103,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LAT028-1 : TPTP v8.1.0. Released v2.2.0.
% 0.03/0.13 % Command : run-snark %s %d
% 0.14/0.34 % Computer : n029.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Wed Jun 29 23:59:08 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.20/0.46 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.47 *
% 0.20/0.47 *
% 0.20/0.48 #<PACKAGE "SNARK-USER">
% 0.20/0.48 *
% 0.20/0.48 SNARK-TPTP-OPTIONS
% 0.20/0.48 *
% 0.20/0.48 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.48 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.48 (USE-FACTORING :POS)
% 0.20/0.48 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.48 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.48 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.48 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.48 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.48 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.48 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.48 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.48 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.48 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.48 *
% 0.20/0.48 "."
% 0.20/0.48 *
% 0.20/0.48 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-29T23:59:08
% 0.20/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n029.cluster.edu at 2022-06-29T23:59:08
% 0.20/0.49
% 0.20/0.49 ; Recognized commutativity assertion (= (|meet| ?X ?Y) (|meet| ?Y ?X)).
% 0.20/0.49 ; Recognized commutativity assertion (= (|join| ?X ?Y) (|join| ?Y ?X)).
% 0.20/0.49 ; Recognized commutativity assertion (= (|meet2| ?X ?Y) (|meet2| ?Y ?X)).
% 0.20/0.49 ; Declaring meet to be commutative.
% 0.20/0.49 ; Declaring join to be commutative.
% 0.40/0.59 ; Declaring meet2 to be commutative.
% 0.40/0.59
% 0.40/0.59 #||
% 0.40/0.59 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.40/0.59 % SZS output start Refutation
% See solution above
% 0.40/0.59 ||#
% 0.40/0.59
% 0.40/0.59 ; Summary of computation:
% 0.40/0.59 ; 843 formulas have been input or derived (from 30 formulas).
% 0.40/0.59 ; 104 (12%) were retained. Of these,
% 0.40/0.59 ; 80 (77%) were simplified or subsumed later,
% 0.40/0.59 ; 24 (23%) are still being kept.
% 0.40/0.59 ;
% 0.40/0.59 ; Run time in seconds excluding printing time:
% 0.40/0.59 ; 0.002 2% Read assertion file (1 call)
% 0.40/0.59 ; 0.000 0% Assert (11 calls)
% 0.40/0.59 ; 0.013 11% Process new row (698 calls)
% 0.40/0.59 ; 0.000 0% Resolution (58 calls)
% 0.40/0.59 ; 0.016 14% Paramodulation (29 calls)
% 0.40/0.59 ; 0.049 43% Forward simplification (698 calls)
% 0.40/0.59 ; 0.003 3% Backward simplification (104 calls)
% 0.40/0.59 ; 0.002 2% Ordering (799 calls)
% 0.40/0.59 ; 0.001 1% Sortal reasoning (32 calls)
% 0.40/0.59 ; 0.000 0% Purity testing (1 call)
% 0.40/0.59 ; 0.029 25% Other
% 0.40/0.59 ; 0.115 Total
% 0.40/0.59 ; 0.117 Real time
% 0.40/0.59 ;
% 0.40/0.59 ; Term-hash-array has 326 terms in all.
% 0.40/0.59 ; Feature-vector-row-index has 0 entries (0 at peak, 0 added, 0 deleted).
% 0.40/0.59 ; Feature-vector-row-index has 1 node (1 at peak, 1 added, 0 deleted).
% 0.40/0.59 ; Path-index has 90 entries (328 at peak, 330 added, 240 deleted).
% 0.40/0.59 ; Path-index has 277 nodes (437 at peak, 439 added, 162 deleted).
% 0.40/0.59 ; Trie-index has 90 entries (328 at peak, 330 added, 240 deleted).
% 0.40/0.59 ; Trie-index has 546 nodes (2,558 at peak, 2,560 added, 2,014 deleted).
% 0.40/0.59 ; Retrieved 5,610 generalization terms in 4,560 calls.
% 0.40/0.59 ; Retrieved 188 instance terms in 103 calls.
% 0.40/0.59 ; Retrieved 922 unifiable terms in 173 calls.
% 0.40/0.59 ;
% 0.40/0.59 ; The agenda of rows to process has 33 entries:
% 0.40/0.59 ; 1 with value 18 1 with value 24 5 with value 30
% 0.40/0.59 ; 1 with value 20 8 with value 25 1 with value 38
% 0.40/0.59 ; 1 with value 21 3 with value 26 2 with value 39
% 0.40/0.59 ; 1 with value 22 1 with value 27 1 with value 40
% 0.40/0.59 ; 6 with value 23 1 with value 29
% 0.40/0.59 ; The agenda of rows to give has 13 entries:
% 0.40/0.59 ; 1 with value (4 12) 2 with value (4 27) 2 with value (4 34)
% 0.40/0.59 ; 4 with value (4 23) 2 with value (4 30) 2 with value (4 39)
% 0.40/0.59 Evaluation took:
% 0.40/0.59 0.117 seconds of real time
% 0.40/0.59 0.106395 seconds of user run time
% 0.40/0.59 0.010694 seconds of system run time
% 0.40/0.59 0 calls to %EVAL
% 0.40/0.59 0 page faults and
% 0.40/0.59 8,963,336 bytes consed.
% 0.40/0.59 :PROOF-FOUND
% 0.40/0.59 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-29T23:59:08
% 0.40/0.59 :PROOF-FOUND
% 0.40/0.59 *
%------------------------------------------------------------------------------