TSTP Solution File: LAT168-1 by SNARK---20120808r022
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- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : LAT168-1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n020.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 06:42:36 EDT 2022
% Result : Unsatisfiable 0.38s 0.54s
% Output : Refutation 0.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of clauses : 8 ( 8 unt; 0 nHn; 2 RR)
% Number of literals : 8 ( 7 equ; 1 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 6 ( 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 : 16 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(absorption1,axiom,
meet(X,join(X,Y)) = X,
file('/export/starexec/sandbox2/benchmark/Axioms/LAT001-0.ax',absorption1) ).
cnf(absorption2,axiom,
join(X,meet(X,Y)) = X,
file('/export/starexec/sandbox2/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(equation_H18_dual,axiom,
meet(join(X,Y),join(X,Z)) = join(X,meet(join(X,Y),meet(join(X,Z),join(Y,meet(X,Z))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',equation_H18_dual) ).
cnf(prove_H58,negated_conjecture,
meet(a,join(b,c)) != meet(a,join(b,meet(join(a,b),join(c,meet(a,b))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_H58) ).
cnf(32,plain,
meet(join(X,meet(Y,Z)),join(X,Y)) = join(X,meet(Y,Z)),
inference('PARAMODULATE',[status(thm)],[absorption1,8,theory(equality)]) ).
cnf(34,plain,
meet(join(X,Y),join(X,Z)) = join(X,meet(join(X,Z),join(Y,meet(X,Z)))),
inference('REWRITE',[status(thm)],[equation_H18_dual,32,theory(equality)]) ).
cnf(36,plain,
$false,
inference('REWRITE',[status(thm)],[prove_H58,absorption1,34,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : LAT168-1 : TPTP v8.1.0. Released v3.1.0.
% 0.06/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n020.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 : Wed Jun 29 15:22:16 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.46 /export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p 2022-06-29T15:22:16
% 0.20/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n020.cluster.edu at 2022-06-29T15:22:16
% 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.
% 0.38/0.54 ; Declaring join to be associative-commutative.
% 0.38/0.54
% 0.38/0.54 #||
% 0.38/0.54 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.38/0.54 % SZS output start Refutation
% See solution above
% 0.38/0.55 ||#
% 0.38/0.55
% 0.38/0.55 ; Summary of computation:
% 0.38/0.55 ; 243 formulas have been input or derived (from 9 formulas).
% 0.38/0.55 ; 36 (15%) were retained. Of these,
% 0.38/0.55 ; 3 ( 8%) were simplified or subsumed later,
% 0.38/0.55 ; 33 (92%) are still being kept.
% 0.38/0.55 ;
% 0.38/0.55 ; Run time in seconds excluding printing time:
% 0.38/0.55 ; 0.003 5% Read assertion file (1 call)
% 0.38/0.55 ; 0.001 2% Assert (10 calls)
% 0.38/0.55 ; 0.003 5% Process new row (198 calls)
% 0.38/0.55 ; 0.000 0% Resolution (16 calls)
% 0.38/0.55 ; 0.007 11% Paramodulation (8 calls)
% 0.38/0.55 ; 0.002 3% Embedding (17 calls)
% 0.38/0.55 ; 0.017 27% Forward simplification (181 calls)
% 0.38/0.55 ; 0.002 3% Backward simplification (19 calls)
% 0.38/0.55 ; 0.002 3% Ordering (96 calls)
% 0.38/0.55 ; 0.002 3% Ordering ac (50 calls)
% 0.38/0.55 ; 0.000 0% Sortal reasoning (32 calls)
% 0.38/0.55 ; 0.000 0% Purity testing (1 call)
% 0.38/0.55 ; 0.023 37% Other
% 0.38/0.55 ; 0.062 Total
% 0.38/0.55 ; 0.065 Real time
% 0.38/0.55 ;
% 0.38/0.55 ; Term-hash-array has 118 terms in all.
% 0.38/0.55 ; Feature-vector-row-index has 0 entries (0 at peak, 0 added, 0 deleted).
% 0.38/0.55 ; Feature-vector-row-index has 1 node (1 at peak, 1 added, 0 deleted).
% 0.38/0.55 ; Path-index has 107 entries (112 at peak, 127 added, 20 deleted).
% 0.38/0.55 ; Path-index has 42 nodes (72 at peak, 75 added, 33 deleted).
% 0.38/0.55 ; Trie-index has 107 entries (112 at peak, 127 added, 20 deleted).
% 0.38/0.55 ; Trie-index has 15 nodes (15 at peak, 18 added, 3 deleted).
% 0.38/0.55 ; Retrieved 3,066 generalization terms in 908 calls.
% 0.38/0.55 ; Retrieved 120 instance terms in 18 calls.
% 0.38/0.55 ; Retrieved 158 unifiable terms in 34 calls.
% 0.38/0.55 ;
% 0.38/0.55 ; The agenda of rows to process has 35 entries:
% 0.38/0.55 ; 2 with value 21 2 with value 27 1 with value 33
% 0.38/0.55 ; 5 with value 22 3 with value 28 4 with value 36
% 0.38/0.55 ; 1 with value 23 5 with value 30 1 with value 38
% 0.38/0.55 ; 1 with value 24 1 with value 31 1 with value 40
% 0.38/0.55 ; 2 with value 25 2 with value 32 1 with value 46
% 0.38/0.55 ; 3 with value 26
% 0.38/0.55 ; The agenda of input rows to give has 2 entries:
% 0.38/0.55 ; 2 with value 24
% 0.38/0.55 ; The agenda of rows to give has 22 entries:
% 0.38/0.55 ; 4 with value (4 20) 2 with value (4 24) 2 with value (4 30)
% 0.38/0.55 ; 2 with value (4 21) 4 with value (4 25) 2 with value (4 31)
% 0.38/0.55 ; 2 with value (4 22) 2 with value (4 27) 2 with value (4 33)
% 0.38/0.55 Evaluation took:
% 0.38/0.55 0.066 seconds of real time
% 0.38/0.55 0.061179 seconds of user run time
% 0.38/0.55 0.003879 seconds of system run time
% 0.38/0.55 0 calls to %EVAL
% 0.38/0.55 0 page faults and
% 0.38/0.55 3,898,624 bytes consed.
% 0.38/0.55 :PROOF-FOUND
% 0.38/0.55 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-29T15:22:16
% 0.38/0.55 :PROOF-FOUND
% 0.38/0.55 *
%------------------------------------------------------------------------------