TSTP Solution File: KLE052+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : KLE052+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n012.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 02:26:25 EDT 2022
% Result : Theorem 0.47s 0.64s
% Output : Refutation 0.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 5
% 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 : 4 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 9 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(6,axiom,
multiplication(one,X) = X,
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+0.ax',multiplicative_left_identity) ).
cnf(8,axiom,
multiplication(addition(X,Y),Z) = addition(multiplication(X,Z),multiplication(Y,Z)),
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+0.ax',left_distributivity) ).
cnf(13,axiom,
addition(X,multiplication(domain(X),X)) = multiplication(domain(X),X),
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+5.ax',domain1) ).
cnf(16,axiom,
addition(domain(X),one) = one,
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+5.ax',domain3) ).
cnf(21,negated_conjecture,
multiplication(domain('SKOLEMAAAU1'),'SKOLEMAAAU1') != 'SKOLEMAAAU1',
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
cnf(112,plain,
X = addition(X,multiplication(domain(Y),X)),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[8,16,theory(equality)]),6,theory(equality)]) ).
cnf(146,plain,
multiplication(domain(X),X) = X,
inference('REWRITE',[status(thm)],[13,112,theory(equality)]) ).
cnf(153,plain,
$false,
inference('REWRITE',[status(thm)],[21,146,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : KLE052+1 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.12 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n012.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 16 13:43:54 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.44 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.45 *
% 0.18/0.45 *
% 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/sandbox/benchmark/theBenchmark.p 2022-06-16T13:43:54
% 0.18/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n012.cluster.edu at 2022-06-16T13:43:54
% 0.18/0.47
% 0.18/0.47 ; Recognized commutativity assertion (= (|addition| ?X ?Y) (|addition| ?Y ?X)).
% 0.18/0.47 ; Recognized associativity assertion (= (|addition| ?X (|addition| ?Y ?Z)) (|addition| (|addition| ?X ?Y) ?Z)).
% 0.18/0.47 ; Recognized right identity assertion (= (|addition| ?X |zero|) ?X).
% 0.18/0.47 ; Recognized associativity assertion (= (|multiplication| ?X (|multiplication| ?Y ?Z)) (|multiplication| (|multiplication| ?X ?Y) ?Z)).
% 0.18/0.47 ; Recognized right identity assertion (= (|multiplication| ?X |one|) ?X).
% 0.18/0.48 ; Recognized left identity assertion (= (|multiplication| |one| ?X) ?X).
% 0.18/0.48 ; Declaring addition to be commutative.
% 0.47/0.64 ; Declaring addition to be associative-commutative.
% 0.47/0.64
% 0.47/0.64 #||
% 0.47/0.64 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.47/0.64 % SZS output start Refutation
% See solution above
% 0.47/0.65 ||#
% 0.47/0.65
% 0.47/0.65 ; Summary of computation:
% 0.47/0.65 ; 523 formulas have been input or derived (from 22 formulas).
% 0.47/0.65 ; 153 (29%) were retained. Of these,
% 0.47/0.65 ; 77 (50%) were simplified or subsumed later,
% 0.47/0.65 ; 76 (50%) are still being kept.
% 0.47/0.65 ;
% 0.47/0.65 ; Run time in seconds:
% 0.47/0.65 ; 0.005 3% Read assertion file (1 call)
% 0.47/0.65 ; 0.001 1% Assert (18 calls)
% 0.47/0.65 ; 0.011 6% Process new row (432 calls)
% 0.47/0.65 ; 0.000 0% Resolution (42 calls)
% 0.47/0.65 ; 0.011 6% Paramodulation (21 calls)
% 0.47/0.65 ; 0.003 2% Embedding (47 calls)
% 0.47/0.65 ; 0.005 3% Condensing (80 calls)
% 0.47/0.65 ; 0.008 4% Forward subsumption (80 calls)
% 0.47/0.65 ; 0.002 1% Backward subsumption (34 calls)
% 0.47/0.65 ; 0.002 1% Clause clause subsumption (185 calls)
% 0.47/0.65 ; 0.078 42% Forward simplification (393 calls)
% 0.47/0.65 ; 0.019 10% Backward simplification (114 calls)
% 0.47/0.65 ; 0.008 4% Ordering (781 calls)
% 0.47/0.65 ; 0.011 6% Ordering ac (517 calls)
% 0.47/0.65 ; 0.001 1% Sortal reasoning (32 calls)
% 0.47/0.65 ; 0.000 0% Purity testing (1 call)
% 0.47/0.65 ; 0.020 11% Other
% 0.47/0.65 ; 0.185 Total
% 0.47/0.65 ; 0.186 Real time
% 0.47/0.65 ;
% 0.47/0.65 ; Term-hash-array has 428 terms in all.
% 0.47/0.65 ; Feature-vector-row-index has 15 entries (27 at peak, 34 added, 19 deleted).
% 0.47/0.65 ; Feature-vector-row-index has 89 nodes (226 at peak, 308 added, 219 deleted).
% 0.47/0.65 ; Retrieved 220 possibly forward subsuming rows in 80 calls.
% 0.47/0.65 ; Retrieved 7 possibly backward subsumed rows in 34 calls.
% 0.47/0.65 ; Path-index has 227 entries (336 at peak, 481 added, 254 deleted).
% 0.47/0.65 ; Path-index has 342 nodes (387 at peak, 434 added, 92 deleted).
% 0.47/0.65 ; Trie-index has 227 entries (336 at peak, 481 added, 254 deleted).
% 0.47/0.65 ; Trie-index has 256 nodes (306 at peak, 353 added, 97 deleted).
% 0.47/0.65 ; Retrieved 28,541 generalization terms in 5,309 calls.
% 0.47/0.65 ; Retrieved 638 instance terms in 104 calls.
% 0.47/0.65 ; Retrieved 597 unifiable terms in 106 calls.
% 0.47/0.65 ;
% 0.47/0.65 ; The agenda of rows to process has 78 entries:
% 0.47/0.65 ; 2 with value 19 8 with value 24 6 with value 32
% 0.47/0.65 ; 6 with value 20 16 with value 26 2 with value 35
% 0.47/0.65 ; 3 with value 21 2 with value 27 1 with value 36
% 0.47/0.65 ; 9 with value 22 7 with value 28 4 with value 39
% 0.47/0.65 ; 3 with value 23 7 with value 30 2 with value 43
% 0.47/0.65 ; The agenda of input rows to give has 1 entry:
% 0.47/0.65 ; 1 with value 9
% 0.47/0.65 ; The agenda of rows to give has 56 entries:
% 0.47/0.65 ; 2 with value (4 5) 4 with value (4 18) 3 with value (4 26)
% 0.47/0.65 ; 2 with value (4 7) 1 with value (4 19) 4 with value (4 28)
% 0.47/0.65 ; 1 with value (4 8) 7 with value (4 20) 1 with value (4 30)
% 0.47/0.65 ; 2 with value (4 9) 5 with value (4 21) 2 with value (4 31)
% 0.47/0.65 ; 1 with value (4 10) 3 with value (4 23) 2 with value (4 34)
% 0.47/0.65 ; 5 with value (4 13) 3 with value (4 24) 2 with value (4 46)
% 0.47/0.65 ; 1 with value (4 15) 1 with value (4 25) 2 with value (4 51)
% 0.47/0.65 ; 2 with value (4 17)
% 0.47/0.65 Evaluation took:
% 0.47/0.65 0.186 seconds of real time
% 0.47/0.65 0.1768 seconds of user run time
% 0.47/0.65 0.009024 seconds of system run time
% 0.47/0.65 0 calls to %EVAL
% 0.47/0.65 0 page faults and
% 0.47/0.65 11,258,312 bytes consed.
% 0.47/0.65 :PROOF-FOUND
% 0.47/0.65 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-16T13:43:54
% 0.47/0.65 :PROOF-FOUND
% 0.47/0.65 *
%------------------------------------------------------------------------------