TSTP Solution File: LAT009-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : LAT009-1 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n006.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 06:41:49 EDT 2022
% Result : Unsatisfiable 0.38s 0.61s
% Output : Refutation 0.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 5
% Syntax : Number of clauses : 21 ( 21 unt; 0 nHn; 4 RR)
% Number of literals : 21 ( 20 equ; 3 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; 3 con; 0-2 aty)
% Number of variables : 49 ( 5 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(idempotence_of_join,axiom,
join(X,X) = X,
file('/export/starexec/sandbox/benchmark/Axioms/LAT001-0.ax',idempotence_of_join) ).
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(8,plain,
join(X,join(meet(X,Y),Z)) = join(X,Z),
inference('EMBED',[status(thm)],[absorption2]) ).
cnf(distributivity_dual,axiom,
join(meet(join(meet(X,Y),Z),Y),meet(X,Z)) = meet(join(meet(join(X,Y),Z),Y),join(X,Z)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',distributivity_dual) ).
cnf(prove_distributivity,negated_conjecture,
join(a,meet(b,c)) != meet(join(a,b),join(a,c)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_distributivity) ).
cnf(19,plain,
join(meet(X,join(Y,Z)),meet(X,Y)) = meet(X,join(Y,Z)),
inference('PARAMODULATE',[status(thm)],[absorption2,6,theory(equality)]) ).
cnf(21,plain,
join(meet(X,join(Y,Z)),meet(Y,meet(X,U))) = meet(X,join(Y,Z)),
inference('PARAMODULATE',[status(thm)],[absorption2,6,theory(equality)]) ).
cnf(25,plain,
join(meet(X,join(meet(X,Y),Z)),meet(X,Y)) = meet(X,join(meet(X,Y),Z)),
inference('PARAMODULATE',[status(thm)],[absorption2,absorption1,theory(equality)]) ).
cnf(33,plain,
meet(join(X,meet(Y,Z)),join(X,Y)) = join(X,meet(Y,Z)),
inference('PARAMODULATE',[status(thm)],[absorption1,8,theory(equality)]) ).
cnf(53,plain,
join(meet(X,Y),meet(X,Z)) = meet(X,join(meet(X,Y),Z)),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[distributivity_dual,6,theory(equality)]),33,25,theory(equality)]) ).
cnf(61,plain,
join(meet(X,Y),join(meet(X,Z),meet(Y,Z))) = meet(join(X,meet(join(X,Y),Z)),join(Y,Z)),
inference('REWRITE',[status(thm)],[distributivity_dual,53,theory(equality)]) ).
cnf(63,plain,
join(X,meet(Y,join(X,Z))) = meet(join(X,Y),join(X,Z)),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[61,8,theory(equality)]),19,absorption1,theory(equality)]) ).
cnf(65,plain,
join(a,meet(b,c)) != join(a,meet(b,join(a,c))),
inference('REWRITE',[status(thm)],[prove_distributivity,63,theory(equality)]) ).
cnf(66,plain,
join(X,meet(Y,join(X,Z))) = join(X,meet(join(X,Y),Z)),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[61,absorption1,theory(equality)]),63,idempotence_of_join,19,absorption1,theory(equality)]) ).
cnf(68,plain,
join(a,meet(b,c)) != join(a,meet(join(a,b),c)),
inference('REWRITE',[status(thm)],[65,66,theory(equality)]) ).
cnf(71,plain,
join(meet(X,Y),meet(Z,join(Y,U))) = meet(join(Y,U),join(meet(X,Y),Z)),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[61,8,theory(equality)]),21,absorption1,theory(equality)]) ).
cnf(73,plain,
join(meet(X,Y),join(meet(X,Z),meet(Y,Z))) = join(meet(join(X,Y),Z),meet(X,join(Y,Z))),
inference('REWRITE',[status(thm)],[61,71,theory(equality)]) ).
cnf(75,plain,
join(meet(X,Y),meet(X,Z)) = meet(X,join(Y,Z)),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[absorption1,73,theory(equality)]),absorption2,53,absorption1,71,theory(equality)]) ).
cnf(77,plain,
$false,
inference('REWRITE',[status(thm)],[68,absorption2,75,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : LAT009-1 : TPTP v8.1.0. Released v2.2.0.
% 0.06/0.13 % Command : run-snark %s %d
% 0.12/0.34 % Computer : n006.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Wed Jun 29 22:19:38 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 *
% 0.19/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.47 (USE-FACTORING :POS)
% 0.19/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.47 *
% 0.19/0.47 "."
% 0.19/0.47 *
% 0.19/0.47 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-29T22:19:38
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n006.cluster.edu at 2022-06-29T22:19:38
% 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.
% 0.38/0.61 ; Declaring join to be associative-commutative.
% 0.38/0.61
% 0.38/0.61 #||
% 0.38/0.61 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.38/0.61 % SZS output start Refutation
% See solution above
% 0.38/0.61 ||#
% 0.38/0.61
% 0.38/0.61 ; Summary of computation:
% 0.38/0.61 ; 949 formulas have been input or derived (from 14 formulas).
% 0.38/0.61 ; 77 ( 8%) were retained. Of these,
% 0.38/0.61 ; 68 (88%) were simplified or subsumed later,
% 0.38/0.61 ; 9 (12%) are still being kept.
% 0.38/0.61 ;
% 0.38/0.61 ; Run time in seconds excluding printing time:
% 0.38/0.61 ; 0.002 1% Read assertion file (1 call)
% 0.38/0.61 ; 0.001 1% Assert (10 calls)
% 0.38/0.61 ; 0.005 3% Process new row (774 calls)
% 0.38/0.61 ; 0.001 1% Resolution (26 calls)
% 0.38/0.61 ; 0.040 27% Paramodulation (13 calls)
% 0.38/0.61 ; 0.005 3% Embedding (36 calls)
% 0.38/0.61 ; 0.045 31% Forward simplification (309 calls)
% 0.38/0.61 ; 0.011 8% Backward simplification (40 calls)
% 0.38/0.61 ; 0.002 1% Ordering (338 calls)
% 0.38/0.61 ; 0.006 4% Ordering ac (208 calls)
% 0.38/0.61 ; 0.001 1% Sortal reasoning (32 calls)
% 0.38/0.61 ; 0.000 0% Purity testing (1 call)
% 0.38/0.61 ; 0.027 18% Other
% 0.38/0.61 ; 0.146 Total
% 0.38/0.61 ; 0.148 Real time
% 0.38/0.61 ;
% 0.38/0.61 ; Term-hash-array has 244 terms in all.
% 0.38/0.61 ; Feature-vector-row-index has 0 entries (0 at peak, 0 added, 0 deleted).
% 0.38/0.61 ; Feature-vector-row-index has 1 node (1 at peak, 1 added, 0 deleted).
% 0.38/0.61 ; Path-index has 28 entries (177 at peak, 271 added, 243 deleted).
% 0.38/0.61 ; Path-index has 36 nodes (62 at peak, 105 added, 69 deleted).
% 0.38/0.61 ; Trie-index has 28 entries (177 at peak, 271 added, 243 deleted).
% 0.38/0.61 ; Trie-index has 14 nodes (15 at peak, 24 added, 10 deleted).
% 0.38/0.61 ; Retrieved 12,293 generalization terms in 2,093 calls.
% 0.38/0.61 ; Retrieved 517 instance terms in 42 calls.
% 0.38/0.61 ; Retrieved 587 unifiable terms in 85 calls.
% 0.38/0.61 ;
% 0.38/0.61 ; The agenda of rows to process has 165 entries:
% 0.38/0.61 ; 1 with value 28 8 with value 40 2 with value 52
% 0.38/0.61 ; 4 with value 30 10 with value 41 4 with value 54
% 0.38/0.61 ; 4 with value 32 10 with value 42 18 with value 56
% 0.38/0.61 ; 6 with value 33 2 with value 43 4 with value 60
% 0.38/0.61 ; 8 with value 34 12 with value 44 8 with value 62
% 0.38/0.61 ; 2 with value 35 24 with value 48 6 with value 64
% 0.38/0.61 ; 8 with value 36 8 with value 49 2 with value 70
% 0.38/0.61 ; 6 with value 38 2 with value 50 2 with value 76
% 0.38/0.61 ; 4 with value 39
% 0.38/0.61 ; The agenda of rows to give has 2 entries:
% 0.38/0.61 ; 2 with value (4 17)
% 0.38/0.61 Evaluation took:
% 0.38/0.61 0.148 seconds of real time
% 0.38/0.61 0.134049 seconds of user run time
% 0.38/0.61 0.013893 seconds of system run time
% 0.38/0.61 0 calls to %EVAL
% 0.38/0.61 0 page faults and
% 0.38/0.61 11,917,544 bytes consed.
% 0.38/0.61 :PROOF-FOUND
% 0.38/0.61 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-29T22:19:38
% 0.38/0.61 :PROOF-FOUND
% 0.38/0.61 *
%------------------------------------------------------------------------------