TSTP Solution File: LAT399-2 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : LAT399-2 : TPTP v8.1.0. Released v8.1.0.
% 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 06:45:09 EDT 2022
% Result : Unsatisfiable 0.44s 0.62s
% Output : Refutation 0.44s
% 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(10,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(13,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(22,plain,
meet(X,X) = X,
inference('PARAMODULATE',[status(thm)],[absorption_003,absorption,theory(equality)]) ).
cnf(56,plain,
join(meet(a,X),meet(Y,a)) = meet(a,join(meet(a,X),Y)),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[10,absorption,theory(equality)]),22,absorption_003,theory(equality)]) ).
cnf(58,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)],[10,absorption,theory(equality)]),22,absorption_003,theory(equality)]) ).
cnf(75,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)],[10,2,theory(equality)]),absorption_003,theory(equality)]) ).
cnf(77,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)],[10,58,75,theory(equality)]) ).
cnf(83,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_003,77,theory(equality)]),absorption,56,58,absorption_003,75,theory(equality)]) ).
cnf(85,plain,
$false,
inference('REWRITE',[status(thm)],[13,83,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : LAT399-2 : TPTP v8.1.0. Released v8.1.0.
% 0.10/0.12 % 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 : Wed Jun 29 13:43:57 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.44 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.45 *
% 0.18/0.45 *
% 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 *
% 0.18/0.46 "."
% 0.18/0.46 *
% 0.18/0.46 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-29T13:43:57
% 0.18/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n014.cluster.edu at 2022-06-29T13:43:57
% 0.18/0.47
% 0.18/0.47 ; Recognized commutativity assertion (= (|meet| ?X ?Y) (|meet| ?Y ?X)).
% 0.18/0.47 ; Recognized associativity assertion (= (|meet| ?X (|meet| ?Y ?Z)) (|meet| (|meet| ?X ?Y) ?Z)).
% 0.18/0.47 ; Recognized commutativity assertion (= (|join| ?X ?Y) (|join| ?Y ?X)).
% 0.18/0.47 ; Recognized associativity assertion (= (|join| ?X (|join| ?Y ?Z)) (|join| (|join| ?X ?Y) ?Z)).
% 0.18/0.47 ; Declaring meet to be commutative.
% 0.18/0.47 ; Declaring meet to be associative-commutative.
% 0.18/0.47 ; Declaring join to be commutative.
% 0.44/0.62 ; Declaring join to be associative-commutative.
% 0.44/0.62
% 0.44/0.62 #||
% 0.44/0.62 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.44/0.62 % SZS output start Refutation
% See solution above
% 0.44/0.62 ||#
% 0.44/0.62
% 0.44/0.62 ; Summary of computation:
% 0.44/0.62 ; 477 formulas have been input or derived (from 12 formulas).
% 0.44/0.62 ; 85 (18%) were retained. Of these,
% 0.44/0.62 ; 18 (21%) were simplified or subsumed later,
% 0.44/0.62 ; 67 (79%) are still being kept.
% 0.44/0.62 ;
% 0.44/0.62 ; Run time in seconds excluding printing time:
% 0.44/0.62 ; 0.003 2% Read assertion file (1 call)
% 0.44/0.62 ; 0.000 0% Assert (12 calls)
% 0.44/0.62 ; 0.012 8% Process new row (380 calls)
% 0.44/0.62 ; 0.000 0% Resolution (22 calls)
% 0.44/0.62 ; 0.022 14% Paramodulation (11 calls)
% 0.44/0.62 ; 0.002 1% Embedding (42 calls)
% 0.44/0.62 ; 0.079 49% Forward simplification (188 calls)
% 0.44/0.62 ; 0.010 6% Backward simplification (44 calls)
% 0.44/0.62 ; 0.000 0% Ordering (190 calls)
% 0.44/0.62 ; 0.004 2% Ordering ac (126 calls)
% 0.44/0.62 ; 0.000 0% Sortal reasoning (32 calls)
% 0.44/0.62 ; 0.000 0% Purity testing (1 call)
% 0.44/0.62 ; 0.028 18% Other
% 0.44/0.62 ; 0.160 Total
% 0.44/0.62 ; 0.163 Real time
% 0.44/0.62 ;
% 0.44/0.62 ; Term-hash-array has 278 terms in all.
% 0.44/0.62 ; Feature-vector-row-index has 0 entries (0 at peak, 0 added, 0 deleted).
% 0.44/0.62 ; Feature-vector-row-index has 1 node (1 at peak, 1 added, 0 deleted).
% 0.44/0.62 ; Path-index has 232 entries (253 at peak, 297 added, 65 deleted).
% 0.44/0.62 ; Path-index has 119 nodes (135 at peak, 140 added, 21 deleted).
% 0.44/0.62 ; Trie-index has 232 entries (253 at peak, 297 added, 65 deleted).
% 0.44/0.62 ; Trie-index has 52 nodes (52 at peak, 55 added, 3 deleted).
% 0.44/0.63 ; Retrieved 14,880 generalization terms in 1,420 calls.
% 0.44/0.63 ; Retrieved 356 instance terms in 45 calls.
% 0.44/0.63 ; Retrieved 311 unifiable terms in 63 calls.
% 0.44/0.63 ;
% 0.44/0.63 ; The agenda of backward simplifiable rows to process has 2 entries:
% 0.44/0.63 ; 2 with value 0
% 0.44/0.63 ; The agenda of rows to process has 82 entries:
% 0.44/0.63 ; 2 with value 37 4 with value 46 1 with value 56
% 0.44/0.63 ; 1 with value 38 4 with value 47 5 with value 60
% 0.44/0.63 ; 2 with value 39 6 with value 50 4 with value 61
% 0.44/0.63 ; 6 with value 40 3 with value 51 2 with value 63
% 0.44/0.63 ; 4 with value 41 3 with value 52 2 with value 68
% 0.44/0.63 ; 4 with value 42 4 with value 53 5 with value 69
% 0.44/0.63 ; 4 with value 43 1 with value 54 1 with value 77
% 0.44/0.63 ; 4 with value 44 4 with value 55 1 with value 85
% 0.44/0.63 ; 5 with value 45
% 0.44/0.63 ; The agenda of rows to give has 58 entries:
% 0.44/0.63 ; 4 with value (4 8) 10 with value (4 24) 2 with value (4 28)
% 0.44/0.63 ; 8 with value (4 20) 4 with value (4 25) 6 with value (4 30)
% 0.44/0.63 ; 4 with value (4 21) 2 with value (4 26) 4 with value (4 31)
% 0.44/0.63 ; 4 with value (4 22) 4 with value (4 27) 4 with value (4 33)
% 0.44/0.63 ; 2 with value (4 23)
% 0.44/0.63 Evaluation took:
% 0.44/0.63 0.167 seconds of real time
% 0.44/0.63 0.153282 seconds of user run time
% 0.44/0.63 0.013907 seconds of system run time
% 0.44/0.63 [Run times include 0.004 seconds GC run time.]
% 0.44/0.63 0 calls to %EVAL
% 0.44/0.63 0 page faults and
% 0.44/0.63 12,413,352 bytes consed.
% 0.44/0.63 :PROOF-FOUND
% 0.44/0.63 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-29T13:43:57
% 0.44/0.63 :PROOF-FOUND
% 0.44/0.63 *
%------------------------------------------------------------------------------