TSTP Solution File: KLE138+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : KLE138+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n018.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 02:26:47 EDT 2022
% Result : Theorem 0.18s 0.51s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 1
% Number of leaves : 4
% Syntax : Number of clauses : 5 ( 5 unt; 0 nHn; 2 RR)
% Number of literals : 5 ( 4 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 : 3 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
addition(X,zero) = X,
file('/export/starexec/sandbox2/benchmark/Axioms/KLE004+0.ax',additive_identity) ).
cnf(9,axiom,
multiplication(zero,X) = zero,
file('/export/starexec/sandbox2/benchmark/Axioms/KLE004+0.ax',left_annihilation) ).
cnf(16,axiom,
strong_iteration(X) = addition(multiplication(X,strong_iteration(X)),one),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE004+0.ax',infty_unfold1) ).
cnf(23,negated_conjecture,
strong_iteration(zero) != one,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
cnf(61,plain,
$false,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[16,9,theory(equality)]),23,1,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : KLE138+1 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.12 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n018.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 12:52:01 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.44 /export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p 2022-06-16T12:52:01
% 0.18/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n018.cluster.edu at 2022-06-16T12:52:01
% 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).
% 0.18/0.47 ; Recognized left identity assertion (= (|multiplication| |one| ?X) ?X).
% 0.18/0.47 ; Declaring addition to be commutative.
% 0.18/0.51 ; Declaring addition to be associative-commutative.
% 0.18/0.51
% 0.18/0.51 #||
% 0.18/0.51 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.51 % SZS output start Refutation
% See solution above
% 0.18/0.51 ||#
% 0.18/0.51
% 0.18/0.51 ; Summary of computation:
% 0.18/0.51 ; 138 formulas have been input or derived (from 15 formulas).
% 0.18/0.51 ; 61 (44%) were retained. Of these,
% 0.18/0.51 ; 2 ( 3%) were simplified or subsumed later,
% 0.18/0.51 ; 59 (97%) are still being kept.
% 0.18/0.51 ;
% 0.18/0.51 ; Run time in seconds:
% 0.18/0.51 ; 0.004 7% Read assertion file (1 call)
% 0.18/0.51 ; 0.001 2% Assert (19 calls)
% 0.18/0.51 ; 0.005 9% Process new row (133 calls)
% 0.18/0.51 ; 0.000 0% Resolution (28 calls)
% 0.18/0.51 ; 0.004 7% Paramodulation (14 calls)
% 0.18/0.51 ; 0.001 2% Embedding (15 calls)
% 0.18/0.51 ; 0.002 4% Condensing (52 calls)
% 0.18/0.51 ; 0.001 2% Forward subsumption (52 calls)
% 0.18/0.51 ; 0.000 0% Backward subsumption (24 calls)
% 0.18/0.51 ; 0.000 0% Clause clause subsumption (87 calls)
% 0.18/0.51 ; 0.008 14% Forward simplification (121 calls)
% 0.18/0.51 ; 0.003 5% Backward simplification (49 calls)
% 0.18/0.51 ; 0.000 0% Ordering (171 calls)
% 0.18/0.51 ; 0.002 4% Ordering ac (69 calls)
% 0.18/0.52 ; 0.000 0% Sortal reasoning (32 calls)
% 0.18/0.52 ; 0.000 0% Purity testing (1 call)
% 0.18/0.52 ; 0.025 45% Other
% 0.18/0.52 ; 0.056 Total
% 0.18/0.52 ; 0.056 Real time
% 0.18/0.52 ;
% 0.18/0.52 ; Term-hash-array has 154 terms in all.
% 0.18/0.52 ; Feature-vector-row-index has 24 entries (24 at peak, 24 added, 0 deleted).
% 0.18/0.52 ; Feature-vector-row-index has 104 nodes (104 at peak, 104 added, 0 deleted).
% 0.18/0.52 ; Retrieved 96 possibly forward subsuming rows in 52 calls.
% 0.18/0.52 ; Retrieved 9 possibly backward subsumed rows in 24 calls.
% 0.18/0.52 ; Path-index has 150 entries (150 at peak, 156 added, 6 deleted).
% 0.18/0.52 ; Path-index has 173 nodes (173 at peak, 177 added, 4 deleted).
% 0.18/0.52 ; Trie-index has 150 entries (150 at peak, 156 added, 6 deleted).
% 0.18/0.52 ; Trie-index has 140 nodes (140 at peak, 142 added, 2 deleted).
% 0.18/0.52 ; Retrieved 2,089 generalization terms in 644 calls.
% 0.18/0.52 ; Retrieved 64 instance terms in 30 calls.
% 0.18/0.52 ; Retrieved 391 unifiable terms in 70 calls.
% 0.18/0.52 ;
% 0.18/0.52 ; The agenda of rows to process has 3 entries:
% 0.18/0.52 ; 1 with value 11 1 with value 16 1 with value 20
% 0.18/0.52 ; The agenda of input rows to give has 9 entries:
% 0.18/0.52 ; 1 with value 13 2 with value 16 3 with value 19
% 0.18/0.52 ; 3 with value 14
% 0.18/0.52 ; The agenda of rows to give has 35 entries:
% 0.18/0.52 ; 2 with value (4 5) 5 with value (4 15) 2 with value (4 23)
% 0.18/0.52 ; 1 with value (4 7) 2 with value (4 16) 2 with value (4 24)
% 0.18/0.52 ; 1 with value (4 8) 8 with value (4 20) 4 with value (4 28)
% 0.18/0.52 ; 1 with value (4 9) 1 with value (4 21) 2 with value (4 32)
% 0.18/0.52 ; 2 with value (4 11) 2 with value (4 22)
% 0.18/0.52 Evaluation took:
% 0.18/0.52 0.057 seconds of real time
% 0.18/0.52 0.053782 seconds of user run time
% 0.18/0.52 0.003218 seconds of system run time
% 0.18/0.52 0 calls to %EVAL
% 0.18/0.52 0 page faults and
% 0.18/0.52 2,869,816 bytes consed.
% 0.18/0.52 :PROOF-FOUND
% 0.18/0.52 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-16T12:52:01
% 0.18/0.52 :PROOF-FOUND
% 0.18/0.52 *
%------------------------------------------------------------------------------