TSTP Solution File: LAT010-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : LAT010-1 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n007.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 0.18s 0.60s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 7
% 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 : 8 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 35 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(idempotence_of_meet,axiom,
meet(X,X) = X,
file('/export/starexec/sandbox2/benchmark/Axioms/LAT001-0.ax',idempotence_of_meet) ).
cnf(idempotence_of_join,axiom,
join(X,X) = X,
file('/export/starexec/sandbox2/benchmark/Axioms/LAT001-0.ax',idempotence_of_join) ).
cnf(absorption1,axiom,
meet(X,join(X,Y)) = X,
file('/export/starexec/sandbox2/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/sandbox2/benchmark/Axioms/LAT001-0.ax',absorption2) ).
cnf(n5_1,hypothesis,
meet(X,join(Y,meet(Z,join(X,U)))) = join(meet(X,join(Y,meet(X,Z))),meet(X,join(meet(X,Y),meet(Z,U)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n5_1) ).
cnf(nr_3,hypothesis,
meet(join(X,meet(Y,Z)),join(Z,meet(X,Y))) = join(meet(Z,join(X,meet(Y,Z))),meet(X,join(Y,Z))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',nr_3) ).
cnf(prove_this,negated_conjecture,
meet(a,meet(join(b,c),join(b,d))) != meet(a,meet(join(b,c),meet(join(b,d),join(meet(a,join(b,meet(c,d))),join(meet(a,c),meet(a,d)))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
cnf(23,plain,
join(meet(X,join(Y,Z)),meet(X,Y)) = meet(X,join(Y,Z)),
inference('PARAMODULATE',[status(thm)],[absorption2,6,theory(equality)]) ).
cnf(29,plain,
join(meet(X,join(Z,meet(X,Y))),meet(X,Y)) = meet(X,join(Z,meet(X,Y))),
inference('PARAMODULATE',[status(thm)],[absorption2,absorption1,theory(equality)]) ).
cnf(57,plain,
join(meet(X,join(Y,Z)),Z) = join(Z,meet(X,Y)),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[absorption2,nr_3,theory(equality)]),absorption2,23,theory(equality)]) ).
cnf(59,plain,
join(meet(X,Y),meet(X,Z)) = meet(X,join(Z,meet(X,Y))),
inference('REWRITE',[status(thm)],[29,57,theory(equality)]) ).
cnf(69,plain,
meet(X,join(Y,meet(Z,join(X,U)))) = join(meet(X,Y),meet(X,Z)),
inference('REWRITE',[status(thm)],[n5_1,idempotence_of_join,absorption2,59,theory(equality)]) ).
cnf(71,plain,
meet(a,meet(join(b,c),join(b,d))) != meet(join(b,c),meet(join(b,d),join(meet(a,join(b,meet(c,d))),join(meet(a,c),meet(a,d))))),
inference('REWRITE',[status(thm)],[prove_this,idempotence_of_meet,59,theory(equality)]) ).
cnf(74,plain,
meet(X,join(Y,Z)) = join(meet(X,Y),meet(X,Z)),
inference('PARAMODULATE',[status(thm)],[69,absorption1,theory(equality)]) ).
cnf(76,plain,
$false,
inference('REWRITE',[status(thm)],[71,idempotence_of_join,absorption2,idempotence_of_meet,74,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : LAT010-1 : TPTP v8.1.0. Released v2.2.0.
% 0.11/0.12 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n007.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 : Thu Jun 30 01:00:53 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.45 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.46 *
% 0.18/0.46 *
% 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/sandbox2/benchmark/theBenchmark.p 2022-06-30T01:00:53
% 0.18/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n007.cluster.edu at 2022-06-30T01:00:53
% 0.18/0.48
% 0.18/0.48 ; Recognized commutativity assertion (= (|meet| ?X ?Y) (|meet| ?Y ?X)).
% 0.18/0.48 ; Recognized commutativity assertion (= (|join| ?X ?Y) (|join| ?Y ?X)).
% 0.18/0.48 ; Recognized associativity assertion (= (|meet| (|meet| ?X ?Y) ?Z) (|meet| ?X (|meet| ?Y ?Z))).
% 0.18/0.48 ; Recognized associativity assertion (= (|join| (|join| ?X ?Y) ?Z) (|join| ?X (|join| ?Y ?Z))).
% 0.18/0.48 ; Declaring meet to be commutative.
% 0.18/0.48 ; Declaring meet to be associative-commutative.
% 0.18/0.48 ; Declaring join to be commutative.
% 0.18/0.60 ; Declaring join to be associative-commutative.
% 0.18/0.60
% 0.18/0.60 #||
% 0.18/0.60 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.60 % SZS output start Refutation
% See solution above
% 0.18/0.60 ||#
% 0.18/0.60
% 0.18/0.60 ; Summary of computation:
% 0.18/0.60 ; 591 formulas have been input or derived (from 11 formulas).
% 0.18/0.60 ; 76 (13%) were retained. Of these,
% 0.18/0.60 ; 67 (88%) were simplified or subsumed later,
% 0.18/0.60 ; 9 (12%) are still being kept.
% 0.18/0.60 ;
% 0.18/0.60 ; Run time in seconds excluding printing time:
% 0.18/0.60 ; 0.003 2% Read assertion file (1 call)
% 0.18/0.60 ; 0.000 0% Assert (12 calls)
% 0.18/0.60 ; 0.007 5% Process new row (470 calls)
% 0.18/0.60 ; 0.000 0% Resolution (20 calls)
% 0.18/0.60 ; 0.023 17% Paramodulation (10 calls)
% 0.18/0.60 ; 0.003 2% Embedding (36 calls)
% 0.18/0.60 ; 0.051 39% Forward simplification (268 calls)
% 0.18/0.60 ; 0.018 14% Backward simplification (39 calls)
% 0.18/0.60 ; 0.001 1% Ordering (202 calls)
% 0.18/0.60 ; 0.002 2% Ordering ac (149 calls)
% 0.18/0.60 ; 0.001 1% Sortal reasoning (32 calls)
% 0.18/0.60 ; 0.000 0% Purity testing (1 call)
% 0.18/0.60 ; 0.023 17% Other
% 0.18/0.60 ; 0.132 Total
% 0.18/0.60 ; 0.134 Real time
% 0.18/0.60 ;
% 0.18/0.60 ; Term-hash-array has 253 terms in all.
% 0.18/0.60 ; Feature-vector-row-index has 0 entries (0 at peak, 0 added, 0 deleted).
% 0.18/0.60 ; Feature-vector-row-index has 1 node (1 at peak, 1 added, 0 deleted).
% 0.18/0.60 ; Path-index has 27 entries (206 at peak, 293 added, 266 deleted).
% 0.18/0.60 ; Path-index has 37 nodes (78 at peak, 127 added, 90 deleted).
% 0.18/0.60 ; Trie-index has 27 entries (206 at peak, 293 added, 266 deleted).
% 0.18/0.60 ; Trie-index has 15 nodes (16 at peak, 24 added, 9 deleted).
% 0.18/0.60 ; Retrieved 10,732 generalization terms in 1,872 calls.
% 0.18/0.60 ; Retrieved 500 instance terms in 40 calls.
% 0.18/0.60 ; Retrieved 425 unifiable terms in 49 calls.
% 0.18/0.60 ;
% 0.18/0.60 ; The agenda of rows to process has 109 entries:
% 0.18/0.60 ; 2 with value 17 2 with value 30 1 with value 40
% 0.18/0.60 ; 3 with value 19 7 with value 31 1 with value 42
% 0.18/0.60 ; 4 with value 20 4 with value 32 3 with value 43
% 0.18/0.60 ; 7 with value 22 5 with value 33 1 with value 44
% 0.18/0.60 ; 6 with value 23 1 with value 34 3 with value 45
% 0.18/0.60 ; 6 with value 24 3 with value 35 1 with value 46
% 0.18/0.60 ; 6 with value 25 4 with value 36 1 with value 47
% 0.18/0.60 ; 3 with value 26 6 with value 37 1 with value 48
% 0.18/0.60 ; 5 with value 27 2 with value 38 1 with value 50
% 0.18/0.60 ; 8 with value 28 2 with value 39 1 with value 52
% 0.18/0.60 ; 9 with value 29
% 0.18/0.60 ; The agenda of rows to give has 2 entries:
% 0.18/0.60 ; 2 with value (4 17)
% 0.18/0.60 Evaluation took:
% 0.18/0.60 0.134 seconds of real time
% 0.18/0.60 0.118964 seconds of user run time
% 0.18/0.60 0.014918 seconds of system run time
% 0.18/0.60 0 calls to %EVAL
% 0.18/0.60 0 page faults and
% 0.18/0.60 10,164,432 bytes consed.
% 0.18/0.60 :PROOF-FOUND
% 0.18/0.60 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-30T01:00:53
% 0.18/0.60 :PROOF-FOUND
% 0.18/0.60 *
%------------------------------------------------------------------------------