TSTP Solution File: LAT035-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : LAT035-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n026.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 06:41:57 EDT 2022
% Result : Unsatisfiable 0.42s 0.58s
% Output : Refutation 0.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 5
% Syntax : Number of clauses : 8 ( 7 unt; 0 nHn; 5 RR)
% Number of literals : 9 ( 8 equ; 3 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 6 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(k_on_join,axiom,
k(join(X,Y)) = meet(k(X),k(Y)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',k_on_join) ).
cnf(k_on_bottom,axiom,
k(n0) = n1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',k_on_bottom) ).
cnf(f_on_meet,axiom,
f(meet(X,Y)) = join(f(X),f(Y)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f_on_meet) ).
cnf(f_on_top,axiom,
f(n1) = n0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f_on_top) ).
cnf(comp_join_hemimorphism,negated_conjecture,
( f(k(join(aa,bb))) != join(f(k(aa)),f(k(bb)))
| f(k(n0)) != n0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',comp_join_hemimorphism) ).
cnf(24,plain,
f(k(join(aa,bb))) != join(f(k(aa)),f(k(bb))),
inference('REWRITE',[status(thm)],[comp_join_hemimorphism,f_on_top,k_on_bottom,theory(equality)]) ).
cnf(83,plain,
f(k(join(X,Y))) = join(f(k(X)),f(k(Y))),
inference('PARAMODULATE',[status(thm)],[f_on_meet,k_on_join,theory(equality)]) ).
cnf(85,plain,
$false,
inference('REWRITE',[status(thm)],[24,83,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : LAT035-1 : TPTP v8.1.0. Released v2.4.0.
% 0.12/0.12 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n026.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 20:14:48 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.44 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.45 *
% 0.19/0.45 *
% 0.19/0.46 #<PACKAGE "SNARK-USER">
% 0.19/0.46 *
% 0.19/0.46 SNARK-TPTP-OPTIONS
% 0.19/0.46 *
% 0.19/0.46 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.46 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.46 (USE-FACTORING :POS)
% 0.19/0.46 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.46 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.46 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.46 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.46 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.46 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.46 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.46 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.46 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.46 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.46 *
% 0.19/0.46 "."
% 0.19/0.46 *
% 0.19/0.46 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-29T20:14:48
% 0.19/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n026.cluster.edu at 2022-06-29T20:14:48
% 0.19/0.47
% 0.19/0.47 ; Recognized commutativity assertion (= (|meet| ?X ?Y) (|meet| ?Y ?X)).
% 0.19/0.47 ; Recognized commutativity assertion (= (|join| ?X ?Y) (|join| ?Y ?X)).
% 0.19/0.47 ; Recognized associativity assertion (= (|meet| (|meet| ?X ?Y) ?Z) (|meet| ?X (|meet| ?Y ?Z))).
% 0.19/0.47 ; Recognized associativity assertion (= (|join| (|join| ?X ?Y) ?Z) (|join| ?X (|join| ?Y ?Z))).
% 0.19/0.47 ; Recognized right identity assertion (= (|join| ?X |n0|) ?X).
% 0.19/0.47 ; Recognized right identity assertion (= (|meet| ?X |n1|) ?X).
% 0.19/0.47 ; Declaring meet to be commutative.
% 0.19/0.47 ; Declaring meet to be associative-commutative.
% 0.19/0.47 ; Declaring join to be commutative.
% 0.42/0.58 ; Declaring join to be associative-commutative.
% 0.42/0.58
% 0.42/0.58 #||
% 0.42/0.58 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.42/0.58 % SZS output start Refutation
% See solution above
% 0.42/0.58 ||#
% 0.42/0.58
% 0.42/0.58 ; Summary of computation:
% 0.42/0.58 ; 730 formulas have been input or derived (from 22 formulas).
% 0.42/0.58 ; 85 (12%) were retained. Of these,
% 0.42/0.58 ; 2 ( 2%) were simplified or subsumed later,
% 0.42/0.58 ; 83 (98%) are still being kept.
% 0.42/0.58 ;
% 0.42/0.58 ; Run time in seconds:
% 0.42/0.58 ; 0.004 3% Read assertion file (1 call)
% 0.42/0.58 ; 0.000 0% Assert (20 calls)
% 0.42/0.58 ; 0.012 10% Process new row (649 calls)
% 0.42/0.58 ; 0.002 2% Resolution (42 calls)
% 0.42/0.58 ; 0.018 15% Paramodulation (21 calls)
% 0.42/0.58 ; 0.004 3% Embedding (41 calls)
% 0.42/0.58 ; 0.000 0% Condensing (1 call)
% 0.42/0.58 ; 0.000 0% Forward subsumption (1 call)
% 0.42/0.58 ; 0.000 0% Backward subsumption (1 call)
% 0.42/0.58 ; 0.051 42% Forward simplification (612 calls)
% 0.42/0.58 ; 0.001 1% Backward simplification (47 calls)
% 0.42/0.58 ; 0.004 3% Ordering (325 calls)
% 0.42/0.58 ; 0.000 0% Ordering ac (143 calls)
% 0.42/0.58 ; 0.000 0% Sortal reasoning (32 calls)
% 0.42/0.58 ; 0.000 0% Purity testing (1 call)
% 0.42/0.58 ; 0.026 21% Other
% 0.42/0.58 ; 0.122 Total
% 0.42/0.58 ; 0.123 Real time
% 0.42/0.58 ;
% 0.42/0.58 ; Term-hash-array has 265 terms in all.
% 0.42/0.58 ; Feature-vector-row-index has 1 entry (1 at peak, 1 added, 0 deleted).
% 0.42/0.58 ; Feature-vector-row-index has 10 nodes (10 at peak, 10 added, 0 deleted).
% 0.42/0.58 ; Retrieved 0 possibly forward subsuming rows in 1 call.
% 0.42/0.58 ; Retrieved 0 possibly backward subsumed rows in 1 call.
% 0.42/0.58 ; Path-index has 260 entries (266 at peak, 271 added, 11 deleted).
% 0.42/0.58 ; Path-index has 171 nodes (183 at peak, 189 added, 18 deleted).
% 0.42/0.58 ; Trie-index has 260 entries (266 at peak, 271 added, 11 deleted).
% 0.42/0.58 ; Trie-index has 64 nodes (68 at peak, 70 added, 6 deleted).
% 0.42/0.58 ; Retrieved 21,732 generalization terms in 3,818 calls.
% 0.42/0.58 ; Retrieved 184 instance terms in 47 calls.
% 0.42/0.58 ; Retrieved 476 unifiable terms in 97 calls.
% 0.42/0.58 ;
% 0.42/0.58 ; The agenda of rows to process has 62 entries:
% 0.42/0.58 ; 9 with value 19 5 with value 24 2 with value 29
% 0.42/0.58 ; 8 with value 20 1 with value 25 2 with value 31
% 0.42/0.58 ; 7 with value 21 11 with value 27 1 with value 33
% 0.42/0.58 ; 16 with value 23
% 0.42/0.58 ; The agenda of input rows to give has 1 entry:
% 0.42/0.58 ; 1 with value 21
% 0.42/0.58 ; The agenda of rows to give has 60 entries:
% 0.42/0.58 ; 2 with value (4 12) 4 with value (4 21) 4 with value (4 27)
% 0.42/0.58 ; 4 with value (4 15) 6 with value (4 22) 4 with value (4 30)
% 0.42/0.58 ; 6 with value (4 18) 8 with value (4 24) 4 with value (4 31)
% 0.42/0.58 ; 2 with value (4 19) 4 with value (4 25) 4 with value (4 33)
% 0.42/0.58 ; 6 with value (4 20) 2 with value (4 26)
% 0.42/0.58 Evaluation took:
% 0.42/0.58 0.124 seconds of real time
% 0.42/0.58 0.110169 seconds of user run time
% 0.42/0.58 0.013236 seconds of system run time
% 0.42/0.58 0 calls to %EVAL
% 0.42/0.58 0 page faults and
% 0.42/0.58 6,757,032 bytes consed.
% 0.42/0.58 :PROOF-FOUND
% 0.42/0.58 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-29T20:14:48
% 0.42/0.58 :PROOF-FOUND
% 0.42/0.58 *
%------------------------------------------------------------------------------