TSTP Solution File: KLE037+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : KLE037+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n008.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 02:26:19 EDT 2022
% Result : Theorem 0.39s 0.59s
% Output : Refutation 0.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 5
% Syntax : Number of clauses : 10 ( 8 unt; 0 nHn; 4 RR)
% Number of literals : 12 ( 5 equ; 3 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 12 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(2,axiom,
addition(X,X) = X,
file('/export/starexec/sandbox/benchmark/Axioms/KLE002+0.ax',additive_idempotence) ).
cnf(3,plain,
addition(X,addition(X,Y)) = addition(X,Y),
inference('EMBED',[status(thm)],[2]) ).
cnf(11,axiom,
( ~ leq(X,Y)
| addition(X,Y) = Y ),
file('/export/starexec/sandbox/benchmark/Axioms/KLE002+0.ax',order) ).
cnf(12,axiom,
( leq(X,Y)
| addition(X,Y) != Y ),
file('/export/starexec/sandbox/benchmark/Axioms/KLE002+0.ax',order) ).
cnf(13,axiom,
leq(addition(one,multiplication(X,star(X))),star(X)),
file('/export/starexec/sandbox/benchmark/Axioms/KLE002+0.ax',star_unfold_right) ).
cnf(17,negated_conjecture,
~ leq(one,star('SKOLEMAAAV1')),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
cnf(20,plain,
leq(X,addition(X,Y)),
inference('HYPERRESOLVE',[status(thm)],[12,3]) ).
cnf(27,plain,
addition(one,addition(multiplication(X,star(X)),star(X))) = star(X),
inference('HYPERRESOLVE',[status(thm)],[11,13]) ).
cnf(112,plain,
leq(one,star(X)),
inference('PARAMODULATE',[status(thm)],[20,27,theory(equality)]) ).
cnf(113,plain,
$false,
inference('REWRITE',[status(thm)],[17,112]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : KLE037+1 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13 % Command : run-snark %s %d
% 0.13/0.33 % Computer : n008.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Thu Jun 16 09:29:52 EDT 2022
% 0.13/0.34 % 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 2022-06-16T09:29:52
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n008.cluster.edu at 2022-06-16T09:29:52
% 0.19/0.48
% 0.19/0.48 ; Recognized commutativity assertion (= (|addition| ?X ?Y) (|addition| ?Y ?X)).
% 0.19/0.48 ; Recognized associativity assertion (= (|addition| ?X (|addition| ?Y ?Z)) (|addition| (|addition| ?X ?Y) ?Z)).
% 0.19/0.48 ; Recognized right identity assertion (= (|addition| ?X |zero|) ?X).
% 0.19/0.48 ; Recognized associativity assertion (= (|multiplication| ?X (|multiplication| ?Y ?Z)) (|multiplication| (|multiplication| ?X ?Y) ?Z)).
% 0.19/0.48 ; Recognized right identity assertion (= (|multiplication| ?X |one|) ?X).
% 0.19/0.48 ; Recognized left identity assertion (= (|multiplication| |one| ?X) ?X).
% 0.19/0.48 ; Declaring addition to be commutative.
% 0.39/0.59 ; Declaring addition to be associative-commutative.
% 0.39/0.59
% 0.39/0.59 #||
% 0.39/0.59 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.39/0.59 % SZS output start Refutation
% See solution above
% 0.39/0.59 ||#
% 0.39/0.59
% 0.39/0.59 ; Summary of computation:
% 0.39/0.59 ; 737 formulas have been input or derived (from 43 formulas).
% 0.39/0.59 ; 113 (15%) were retained. Of these,
% 0.39/0.59 ; 31 (27%) were simplified or subsumed later,
% 0.39/0.59 ; 82 (73%) are still being kept.
% 0.39/0.59 ;
% 0.39/0.59 ; Run time in seconds excluding printing time:
% 0.39/0.59 ; 0.004 3% Read assertion file (1 call)
% 0.39/0.59 ; 0.001 1% Assert (17 calls)
% 0.39/0.59 ; 0.007 6% Process new row (640 calls)
% 0.39/0.59 ; 0.006 5% Resolution (84 calls)
% 0.39/0.59 ; 0.013 11% Paramodulation (42 calls)
% 0.39/0.59 ; 0.000 0% Embedding (15 calls)
% 0.39/0.59 ; 0.010 8% Condensing (120 calls)
% 0.39/0.59 ; 0.002 2% Forward subsumption (120 calls)
% 0.39/0.59 ; 0.001 1% Backward subsumption (45 calls)
% 0.39/0.59 ; 0.004 3% Clause clause subsumption (200 calls)
% 0.39/0.59 ; 0.039 32% Forward simplification (622 calls)
% 0.39/0.59 ; 0.002 2% Backward simplification (101 calls)
% 0.39/0.59 ; 0.005 4% Ordering (428 calls)
% 0.39/0.59 ; 0.000 0% Ordering ac (61 calls)
% 0.39/0.59 ; 0.000 0% Sortal reasoning (32 calls)
% 0.39/0.59 ; 0.000 0% Purity testing (1 call)
% 0.39/0.59 ; 0.027 22% Other
% 0.39/0.59 ; 0.121 Total
% 0.39/0.59 ; 0.123 Real time
% 0.39/0.59 ;
% 0.39/0.59 ; Term-hash-array has 293 terms in all.
% 0.39/0.59 ; Feature-vector-row-index has 37 entries (43 at peak, 45 added, 8 deleted).
% 0.39/0.59 ; Feature-vector-row-index has 165 nodes (237 at peak, 244 added, 79 deleted).
% 0.39/0.59 ; Retrieved 242 possibly forward subsuming rows in 120 calls.
% 0.39/0.59 ; Retrieved 16 possibly backward subsumed rows in 45 calls.
% 0.39/0.59 ; Path-index has 242 entries (287 at peak, 297 added, 55 deleted).
% 0.39/0.59 ; Path-index has 292 nodes (316 at peak, 318 added, 26 deleted).
% 0.39/0.59 ; Trie-index has 242 entries (287 at peak, 297 added, 55 deleted).
% 0.39/0.59 ; Trie-index has 245 nodes (275 at peak, 280 added, 35 deleted).
% 0.39/0.59 ; Retrieved 16,639 generalization terms in 3,705 calls.
% 0.39/0.59 ; Retrieved 109 instance terms in 73 calls.
% 0.39/0.59 ; Retrieved 1,529 unifiable terms in 257 calls.
% 0.39/0.59 ;
% 0.39/0.59 ; The agenda of rows to process has 43 entries:
% 0.39/0.59 ; 2 with value 9 1 with value 18 2 with value 25
% 0.39/0.59 ; 1 with value 10 1 with value 19 8 with value 26
% 0.39/0.59 ; 3 with value 12 2 with value 21 2 with value 28
% 0.39/0.59 ; 2 with value 14 4 with value 22 1 with value 29
% 0.39/0.59 ; 3 with value 15 2 with value 23 1 with value 30
% 0.39/0.59 ; 2 with value 16 2 with value 24 1 with value 32
% 0.39/0.59 ; 3 with value 17
% 0.39/0.59 ; The agenda of rows to give has 49 entries:
% 0.39/0.59 ; 1 with value (4 8) 3 with value (4 21) 5 with value (4 27)
% 0.39/0.59 ; 7 with value (4 17) 1 with value (4 22) 13 with value (4 28)
% 0.39/0.59 ; 4 with value (4 18) 1 with value (4 25) 1 with value (4 29)
% 0.39/0.59 ; 2 with value (4 19) 4 with value (4 26) 2 with value (4 35)
% 0.39/0.59 ; 5 with value (4 20)
% 0.39/0.59 Evaluation took:
% 0.39/0.59 0.123 seconds of real time
% 0.39/0.59 0.110164 seconds of user run time
% 0.39/0.59 0.012873 seconds of system run time
% 0.39/0.59 0 calls to %EVAL
% 0.39/0.59 0 page faults and
% 0.39/0.59 7,317,328 bytes consed.
% 0.39/0.59 :PROOF-FOUND
% 0.39/0.59 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-16T09:29:52
% 0.39/0.59 :PROOF-FOUND
% 0.39/0.59 *
%------------------------------------------------------------------------------