TSTP Solution File: LAT039-2 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : LAT039-2 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n004.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 06:41:59 EDT 2022
% Result : Unsatisfiable 0.58s 0.74s
% Output : Refutation 0.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 5
% Syntax : Number of clauses : 9 ( 9 unt; 0 nHn; 5 RR)
% Number of literals : 9 ( 8 equ; 2 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 3 ( 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 : 7 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(idempotence_of_meet,axiom,
meet(X,X) = X,
file('/export/starexec/sandbox/benchmark/Axioms/LAT001-0.ax',idempotence_of_meet) ).
cnf(absorption2,axiom,
join(X,meet(X,Y)) = X,
file('/export/starexec/sandbox/benchmark/Axioms/LAT001-0.ax',absorption2) ).
cnf(dist_meet,hypothesis,
meet(X,join(Y,Z)) = join(meet(X,Y),meet(X,Z)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dist_meet) ).
cnf(lhs,hypothesis,
join(xx,yy) = yy,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lhs) ).
cnf(rhs,negated_conjecture,
join(xx,meet(yy,zz)) != meet(join(xx,yy),join(xx,zz)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rhs) ).
cnf(16,plain,
join(xx,meet(yy,zz)) != join(meet(yy,xx),meet(yy,zz)),
inference('REWRITE',[status(thm)],[rhs,dist_meet,lhs,theory(equality)]) ).
cnf(19,plain,
meet(X,yy) = join(meet(xx,X),meet(X,yy)),
inference('PARAMODULATE',[status(thm)],[dist_meet,lhs,theory(equality)]) ).
cnf(23,plain,
meet(yy,xx) = xx,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[19,idempotence_of_meet,theory(equality)]),absorption2,theory(equality)]) ).
cnf(25,plain,
$false,
inference('REWRITE',[status(thm)],[16,23,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : LAT039-2 : TPTP v8.1.0. Released v2.4.0.
% 0.12/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n004.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Thu Jun 30 14:38:38 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.46 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.47 *
% 0.20/0.47 *
% 0.20/0.48 #<PACKAGE "SNARK-USER">
% 0.20/0.48 *
% 0.20/0.48 SNARK-TPTP-OPTIONS
% 0.20/0.48 *
% 0.20/0.48 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.48 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.48 (USE-FACTORING :POS)
% 0.20/0.48 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.48 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.48 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.48 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.48 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.48 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.48 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.48 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.48 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.48 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.48 *
% 0.20/0.48 "."
% 0.20/0.48 *
% 0.20/0.48 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-30T14:38:38
% 0.20/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n004.cluster.edu at 2022-06-30T14:38:38
% 0.20/0.49
% 0.20/0.49 ; Recognized commutativity assertion (= (|meet| ?X ?Y) (|meet| ?Y ?X)).
% 0.20/0.49 ; Recognized commutativity assertion (= (|join| ?X ?Y) (|join| ?Y ?X)).
% 0.20/0.49 ; Recognized associativity assertion (= (|meet| (|meet| ?X ?Y) ?Z) (|meet| ?X (|meet| ?Y ?Z))).
% 0.20/0.49 ; Recognized associativity assertion (= (|join| (|join| ?X ?Y) ?Z) (|join| ?X (|join| ?Y ?Z))).
% 0.20/0.49 ; Declaring meet to be commutative.
% 0.20/0.49 ; Declaring meet to be associative-commutative.
% 0.20/0.49 ; Declaring join to be commutative.
% 0.58/0.74 ; Declaring join to be associative-commutative.
% 0.58/0.74
% 0.58/0.74 #||
% 0.58/0.74 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.58/0.74 % SZS output start Refutation
% See solution above
% 0.58/0.74 ||#
% 0.58/0.74
% 0.58/0.74 ; Summary of computation:
% 0.58/0.74 ; 377 formulas have been input or derived (from 15 formulas).
% 0.58/0.74 ; 25 ( 7%) were retained. Of these,
% 0.58/0.74 ; 6 (24%) were simplified or subsumed later,
% 0.58/0.74 ; 19 (76%) are still being kept.
% 0.58/0.74 ;
% 0.58/0.74 ; Run time in seconds:
% 0.58/0.74 ; 0.002 1% Read assertion file (1 call)
% 0.58/0.74 ; 0.001 0% Assert (12 calls)
% 0.58/0.74 ; 0.002 1% Process new row (341 calls)
% 0.58/0.74 ; 0.001 0% Resolution (28 calls)
% 0.58/0.74 ; 0.012 5% Paramodulation (14 calls)
% 0.58/0.74 ; 0.001 0% Embedding (11 calls)
% 0.58/0.74 ; 0.216 83% Forward simplification (330 calls)
% 0.58/0.74 ; 0.001 0% Backward simplification (13 calls)
% 0.58/0.74 ; 0.000 0% Ordering (202 calls)
% 0.58/0.74 ; 0.001 0% Ordering ac (120 calls)
% 0.58/0.74 ; 0.000 0% Sortal reasoning (32 calls)
% 0.58/0.74 ; 0.000 0% Purity testing (1 call)
% 0.58/0.74 ; 0.023 9% Other
% 0.58/0.74 ; 0.260 Total
% 0.58/0.74 ; 0.261 Real time
% 0.58/0.74 ;
% 0.58/0.74 ; Term-hash-array has 65 terms in all.
% 0.58/0.74 ; Feature-vector-row-index has 0 entries (0 at peak, 0 added, 0 deleted).
% 0.58/0.74 ; Feature-vector-row-index has 1 node (1 at peak, 1 added, 0 deleted).
% 0.58/0.74 ; Path-index has 53 entries (55 at peak, 69 added, 16 deleted).
% 0.58/0.74 ; Path-index has 40 nodes (43 at peak, 46 added, 6 deleted).
% 0.58/0.74 ; Trie-index has 53 entries (55 at peak, 69 added, 16 deleted).
% 0.58/0.74 ; Trie-index has 18 nodes (18 at peak, 20 added, 2 deleted).
% 0.58/0.74 ; Retrieved 11,406 generalization terms in 4,489 calls.
% 0.58/0.74 ; Retrieved 23 instance terms in 12 calls.
% 0.58/0.74 ; Retrieved 256 unifiable terms in 73 calls.
% 0.58/0.74 ;
% 0.58/0.74 ; The agenda of rows to process has 23 entries:
% 0.58/0.74 ; 2 with value 18 2 with value 26 2 with value 34
% 0.58/0.74 ; 3 with value 20 1 with value 27 1 with value 37
% 0.58/0.74 ; 1 with value 22 1 with value 30 1 with value 38
% 0.58/0.74 ; 2 with value 24 2 with value 32 2 with value 40
% 0.58/0.74 ; 1 with value 25 1 with value 33 1 with value 44
% 0.58/0.74 ; The agenda of rows to give has 5 entries:
% 0.58/0.74 ; 2 with value (4 9) 1 with value (4 15) 2 with value (4 18)
% 0.58/0.74 Evaluation took:
% 0.58/0.74 0.261 seconds of real time
% 0.58/0.74 0.254165 seconds of user run time
% 0.58/0.74 0.007067 seconds of system run time
% 0.58/0.74 [Run times include 0.006 seconds GC run time.]
% 0.58/0.74 0 calls to %EVAL
% 0.58/0.74 0 page faults and
% 0.58/0.74 28,633,000 bytes consed.
% 0.58/0.74 :PROOF-FOUND
% 0.58/0.74 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-30T14:38:38
% 0.58/0.74 :PROOF-FOUND
% 0.58/0.74 *
%------------------------------------------------------------------------------