TSTP Solution File: LAT399-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : LAT399-1 : TPTP v8.1.0. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n009.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 06:45:08 EDT 2022
% Result : Unsatisfiable 0.38s 0.63s
% Output : Refutation 0.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 6
% Syntax : Number of clauses : 16 ( 16 unt; 0 nHn; 3 RR)
% Number of literals : 16 ( 15 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 : 8 ( 8 usr; 4 con; 0-3 aty)
% Number of variables : 35 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(absorption,axiom,
join(X,meet(X,Y)) = X,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',absorption) ).
cnf(2,plain,
join(X,join(meet(X,Y),Z)) = join(X,Z),
inference('EMBED',[status(thm)],[absorption]) ).
cnf(absorption_003,axiom,
meet(X,join(X,Y)) = X,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',absorption_003) ).
cnf(definition_of_upme,axiom,
upme(X,Y,Z) = meet(X,join(Y,Z)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_of_upme) ).
cnf(definition_of_lome,axiom,
lome(X,Y,Z) = join(meet(X,Y),meet(X,Z)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_of_lome) ).
cnf(conjecture,negated_conjecture,
join(upme(meet(a,X),Y,Z),meet(Y,Z)) = meet(join(meet(a,meet(X,Y)),Z),join(meet(a,meet(X,Z)),Y)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conjecture) ).
cnf(8,plain,
join(meet(a,meet(X,join(Y,Z))),meet(Y,Z)) = meet(join(meet(a,meet(X,Y)),Z),join(meet(a,meet(X,Z)),Y)),
inference('REWRITE',[status(thm)],[conjecture,definition_of_upme,theory(equality)]) ).
cnf(conjecture_1,negated_conjecture,
upme(meet(a,z1),z2,z3) != lome(meet(a,z1),z2,z3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conjecture_1) ).
cnf(11,plain,
meet(a,meet(z1,join(z2,z3))) != join(meet(a,meet(z1,z2)),meet(a,meet(z1,z3))),
inference('REWRITE',[status(thm)],[conjecture_1,definition_of_lome,definition_of_upme,theory(equality)]) ).
cnf(20,plain,
meet(X,X) = X,
inference('PARAMODULATE',[status(thm)],[absorption_003,absorption,theory(equality)]) ).
cnf(54,plain,
join(meet(a,X),meet(Y,a)) = meet(a,join(meet(a,X),Y)),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[8,absorption,theory(equality)]),20,absorption_003,theory(equality)]) ).
cnf(56,plain,
join(meet(a,meet(X,Y)),meet(Y,Z)) = meet(Y,join(meet(a,meet(X,Y)),Z)),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[8,absorption,theory(equality)]),20,absorption_003,theory(equality)]) ).
cnf(73,plain,
join(meet(a,meet(X,Y)),meet(Z,join(Y,U))) = meet(join(Y,U),join(meet(a,meet(X,Y)),Z)),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[8,2,theory(equality)]),absorption_003,theory(equality)]) ).
cnf(75,plain,
join(meet(a,meet(X,join(Y,Z))),meet(Y,Z)) = join(meet(a,meet(X,Z)),join(meet(a,meet(X,Y)),meet(Y,Z))),
inference('REWRITE',[status(thm)],[8,56,73,theory(equality)]) ).
cnf(81,plain,
join(meet(a,meet(X,Y)),meet(a,meet(X,Z))) = meet(a,meet(X,join(Y,Z))),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[absorption_003,75,theory(equality)]),absorption,54,56,absorption_003,73,theory(equality)]) ).
cnf(83,plain,
$false,
inference('REWRITE',[status(thm)],[11,81,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LAT399-1 : TPTP v8.1.0. Released v8.1.0.
% 0.07/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n009.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 : Thu Jun 30 02:26:52 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.46 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.47 *
% 0.19/0.47 *
% 0.19/0.48 #<PACKAGE "SNARK-USER">
% 0.19/0.48 *
% 0.19/0.48 SNARK-TPTP-OPTIONS
% 0.19/0.48 *
% 0.19/0.48 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.48 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.48 (USE-FACTORING :POS)
% 0.19/0.48 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.48 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.48 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.48 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.48 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.48 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.48 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.48 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.48 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.48 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.48 *
% 0.19/0.48 "."
% 0.19/0.48 *
% 0.19/0.48 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-30T02:26:52
% 0.19/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n009.cluster.edu at 2022-06-30T02:26:52
% 0.19/0.49
% 0.19/0.49 ; Recognized commutativity assertion (= (|meet| ?X ?Y) (|meet| ?Y ?X)).
% 0.19/0.49 ; Recognized associativity assertion (= (|meet| ?X (|meet| ?Y ?Z)) (|meet| (|meet| ?X ?Y) ?Z)).
% 0.19/0.49 ; Recognized commutativity assertion (= (|join| ?X ?Y) (|join| ?Y ?X)).
% 0.19/0.49 ; Recognized associativity assertion (= (|join| ?X (|join| ?Y ?Z)) (|join| (|join| ?X ?Y) ?Z)).
% 0.19/0.49 ; Declaring meet to be commutative.
% 0.19/0.49 ; Declaring meet to be associative-commutative.
% 0.19/0.49 ; Declaring join to be commutative.
% 0.38/0.63 ; Declaring join to be associative-commutative.
% 0.38/0.63
% 0.38/0.63 #||
% 0.38/0.63 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.38/0.63 % SZS output start Refutation
% See solution above
% 0.46/0.63 ||#
% 0.46/0.63
% 0.46/0.63 ; Summary of computation:
% 0.46/0.63 ; 473 formulas have been input or derived (from 10 formulas).
% 0.46/0.63 ; 83 (18%) were retained. Of these,
% 0.46/0.63 ; 18 (22%) were simplified or subsumed later,
% 0.46/0.63 ; 65 (78%) are still being kept.
% 0.46/0.63 ;
% 0.46/0.63 ; Run time in seconds excluding printing time:
% 0.46/0.63 ; 0.002 1% Read assertion file (1 call)
% 0.46/0.63 ; 0.001 1% Assert (10 calls)
% 0.46/0.63 ; 0.012 8% Process new row (376 calls)
% 0.46/0.63 ; 0.001 1% Resolution (18 calls)
% 0.46/0.63 ; 0.020 13% Paramodulation (9 calls)
% 0.46/0.63 ; 0.003 2% Embedding (40 calls)
% 0.46/0.63 ; 0.076 50% Forward simplification (184 calls)
% 0.46/0.63 ; 0.009 6% Backward simplification (42 calls)
% 0.46/0.63 ; 0.001 1% Ordering (173 calls)
% 0.46/0.63 ; 0.004 3% Ordering ac (126 calls)
% 0.46/0.63 ; 0.000 0% Sortal reasoning (32 calls)
% 0.46/0.63 ; 0.000 0% Purity testing (1 call)
% 0.46/0.63 ; 0.023 15% Other
% 0.46/0.63 ; 0.152 Total
% 0.46/0.63 ; 0.155 Real time
% 0.46/0.63 ;
% 0.46/0.63 ; Term-hash-array has 273 terms in all.
% 0.46/0.63 ; Feature-vector-row-index has 0 entries (0 at peak, 0 added, 0 deleted).
% 0.46/0.63 ; Feature-vector-row-index has 1 node (1 at peak, 1 added, 0 deleted).
% 0.46/0.63 ; Path-index has 227 entries (248 at peak, 292 added, 65 deleted).
% 0.46/0.63 ; Path-index has 91 nodes (107 at peak, 112 added, 21 deleted).
% 0.46/0.63 ; Trie-index has 227 entries (248 at peak, 292 added, 65 deleted).
% 0.46/0.63 ; Trie-index has 34 nodes (34 at peak, 37 added, 3 deleted).
% 0.46/0.63 ; Retrieved 14,875 generalization terms in 1,415 calls.
% 0.46/0.63 ; Retrieved 353 instance terms in 43 calls.
% 0.46/0.63 ; Retrieved 304 unifiable terms in 55 calls.
% 0.46/0.63 ;
% 0.46/0.63 ; The agenda of backward simplifiable rows to process has 2 entries:
% 0.46/0.63 ; 2 with value 0
% 0.46/0.63 ; The agenda of rows to process has 82 entries:
% 0.46/0.63 ; 2 with value 37 4 with value 46 1 with value 56
% 0.46/0.63 ; 1 with value 38 4 with value 47 5 with value 60
% 0.46/0.63 ; 2 with value 39 6 with value 50 4 with value 61
% 0.46/0.63 ; 6 with value 40 3 with value 51 2 with value 63
% 0.46/0.63 ; 4 with value 41 3 with value 52 2 with value 68
% 0.46/0.63 ; 4 with value 42 4 with value 53 5 with value 69
% 0.46/0.63 ; 4 with value 43 1 with value 54 1 with value 77
% 0.46/0.63 ; 4 with value 44 4 with value 55 1 with value 85
% 0.46/0.63 ; 5 with value 45
% 0.46/0.63 ; The agenda of rows to give has 58 entries:
% 0.46/0.63 ; 4 with value (4 8) 10 with value (4 24) 2 with value (4 28)
% 0.46/0.63 ; 8 with value (4 20) 4 with value (4 25) 6 with value (4 30)
% 0.46/0.63 ; 4 with value (4 21) 2 with value (4 26) 4 with value (4 31)
% 0.46/0.63 ; 4 with value (4 22) 4 with value (4 27) 4 with value (4 33)
% 0.46/0.63 ; 2 with value (4 23)
% 0.46/0.63 Evaluation took:
% 0.46/0.63 0.155 seconds of real time
% 0.46/0.63 0.140302 seconds of user run time
% 0.46/0.63 0.014411 seconds of system run time
% 0.46/0.63 0 calls to %EVAL
% 0.46/0.63 0 page faults and
% 0.46/0.64 12,372,312 bytes consed.
% 0.46/0.64 :PROOF-FOUND
% 0.46/0.64 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-30T02:26:52
% 0.46/0.64 :PROOF-FOUND
% 0.46/0.64 *
%------------------------------------------------------------------------------