TSTP Solution File: LAT032-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : LAT032-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n011.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 06:41:56 EDT 2022
% Result : Unsatisfiable 0.42s 0.58s
% Output : Refutation 0.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of clauses : 10 ( 10 unt; 0 nHn; 2 RR)
% Number of literals : 10 ( 9 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 : 23 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(absorption1,axiom,
meet(X,join(X,Y)) = X,
file('/export/starexec/sandbox/benchmark/Axioms/LAT001-0.ax',absorption1) ).
cnf(6,plain,
meet(X,meet(join(X,Y),Z)) = meet(X,Z),
inference('EMBED',[status(thm)],[absorption1]) ).
cnf(absorption2,axiom,
join(X,meet(X,Y)) = X,
file('/export/starexec/sandbox/benchmark/Axioms/LAT001-0.ax',absorption2) ).
cnf(dist_join,hypothesis,
join(X,meet(Y,Z)) = meet(join(X,Y),join(X,Z)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dist_join) ).
cnf(10,plain,
meet(join(X,Y),meet(join(X,Z),U)) = meet(join(X,meet(Y,Z)),U),
inference('EMBED',[status(thm)],[dist_join]) ).
cnf(dist_meet,negated_conjecture,
meet(xx,join(yy,zz)) != join(meet(xx,yy),meet(xx,zz)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dist_meet) ).
cnf(22,plain,
join(X,meet(Y,Z)) = join(X,meet(Y,join(X,Z))),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[absorption1,absorption2,theory(equality)]),absorption1,dist_join,theory(equality)]) ).
cnf(24,plain,
join(meet(X,Y),meet(X,Z)) = meet(X,join(meet(X,Y),Z)),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[absorption2,absorption1,theory(equality)]),22,theory(equality)]) ).
cnf(36,plain,
join(meet(X,Y),meet(X,Z)) = meet(X,join(Y,Z)),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[6,10,theory(equality)]),24,theory(equality)]) ).
cnf(38,plain,
$false,
inference('REWRITE',[status(thm)],[dist_meet,36,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LAT032-1 : TPTP v8.1.0. Released v2.4.0.
% 0.03/0.13 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n011.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
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Wed Jun 29 23:32:32 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.45 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.46 *
% 0.19/0.46 *
% 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/sandbox/benchmark/theBenchmark.p 2022-06-29T23:32:32
% 0.19/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n011.cluster.edu at 2022-06-29T23:32:32
% 0.19/0.48
% 0.19/0.48 ; Recognized commutativity assertion (= (|meet| ?X ?Y) (|meet| ?Y ?X)).
% 0.19/0.48 ; Recognized commutativity assertion (= (|join| ?X ?Y) (|join| ?Y ?X)).
% 0.19/0.48 ; Recognized associativity assertion (= (|meet| (|meet| ?X ?Y) ?Z) (|meet| ?X (|meet| ?Y ?Z))).
% 0.19/0.48 ; Recognized associativity assertion (= (|join| (|join| ?X ?Y) ?Z) (|join| ?X (|join| ?Y ?Z))).
% 0.19/0.48 ; Declaring meet to be commutative.
% 0.19/0.48 ; Declaring meet to be associative-commutative.
% 0.19/0.48 ; 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/sandbox/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 ; 492 formulas have been input or derived (from 11 formulas).
% 0.42/0.58 ; 38 ( 8%) were retained. Of these,
% 0.42/0.58 ; 29 (76%) were simplified or subsumed later,
% 0.42/0.58 ; 9 (24%) are still being kept.
% 0.42/0.58 ;
% 0.42/0.58 ; Run time in seconds:
% 0.42/0.58 ; 0.003 2% Read assertion file (1 call)
% 0.42/0.58 ; 0.000 0% Assert (10 calls)
% 0.42/0.58 ; 0.005 4% Process new row (413 calls)
% 0.42/0.58 ; 0.000 0% Resolution (20 calls)
% 0.42/0.58 ; 0.015 12% Paramodulation (10 calls)
% 0.42/0.58 ; 0.003 2% Embedding (18 calls)
% 0.42/0.58 ; 0.068 57% Forward simplification (395 calls)
% 0.42/0.58 ; 0.003 2% Backward simplification (20 calls)
% 0.42/0.58 ; 0.002 2% Ordering (135 calls)
% 0.42/0.58 ; 0.001 1% Ordering ac (84 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 ; 0.020 17% Other
% 0.42/0.58 ; 0.120 Total
% 0.42/0.58 ; 0.121 Real time
% 0.42/0.58 ;
% 0.42/0.58 ; Term-hash-array has 131 terms in all.
% 0.42/0.58 ; Feature-vector-row-index has 0 entries (0 at peak, 0 added, 0 deleted).
% 0.42/0.58 ; Feature-vector-row-index has 1 node (1 at peak, 1 added, 0 deleted).
% 0.42/0.58 ; Path-index has 26 entries (101 at peak, 142 added, 116 deleted).
% 0.42/0.58 ; Path-index has 34 nodes (58 at peak, 68 added, 34 deleted).
% 0.42/0.58 ; Trie-index has 26 entries (101 at peak, 142 added, 116 deleted).
% 0.42/0.58 ; Trie-index has 14 nodes (15 at peak, 18 added, 4 deleted).
% 0.42/0.58 ; Retrieved 14,873 generalization terms in 3,287 calls.
% 0.42/0.58 ; Retrieved 86 instance terms in 19 calls.
% 0.42/0.58 ; Retrieved 217 unifiable terms in 44 calls.
% 0.42/0.58 ;
% 0.42/0.58 ; The agenda of rows to process has 69 entries:
% 0.42/0.58 ; 2 with value 18 11 with value 24 8 with value 29
% 0.42/0.58 ; 1 with value 19 4 with value 25 10 with value 31
% 0.42/0.58 ; 1 with value 20 4 with value 26 6 with value 32
% 0.42/0.58 ; 4 with value 21 4 with value 27 2 with value 35
% 0.42/0.58 ; 4 with value 22 2 with value 28 4 with value 37
% 0.42/0.58 ; 2 with value 23
% 0.42/0.58 ; The agenda of rows to give has 2 entries:
% 0.42/0.58 ; 2 with value (4 17)
% 0.42/0.58 Evaluation took:
% 0.42/0.58 0.121 seconds of real time
% 0.42/0.58 0.110813 seconds of user run time
% 0.42/0.58 0.01024 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 8,739,728 bytes consed.
% 0.42/0.58 :PROOF-FOUND
% 0.42/0.58 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-29T23:32:33
% 0.42/0.59 :PROOF-FOUND
% 0.42/0.59 *
%------------------------------------------------------------------------------