TSTP Solution File: KLE056+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : KLE056+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n005.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 02:26:26 EDT 2022

% Result   : Theorem 0.18s 0.51s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    1
%            Number of leaves      :    5
% Syntax   : Number of clauses     :    6 (   6 unt;   0 nHn;   3 RR)
%            Number of literals    :    6 (   5 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/sandbox/benchmark/Axioms/KLE001+0.ax',additive_identity) ).

cnf(10,axiom,
    multiplication(zero,X) = zero,
    file('/export/starexec/sandbox/benchmark/Axioms/KLE001+0.ax',left_annihilation) ).

cnf(13,axiom,
    addition(X,multiplication(domain(X),X)) = multiplication(domain(X),X),
    file('/export/starexec/sandbox/benchmark/Axioms/KLE001+5.ax',domain1) ).

cnf(21,negated_conjecture,
    domain('SKOLEMAAAV1') = zero,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).

cnf(22,negated_conjecture,
    'SKOLEMAAAV1' != zero,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).

cnf(55,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[13,21,theory(equality)]),22,1,10,theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11  % Problem  : KLE056+1 : TPTP v8.1.0. Released v4.0.0.
% 0.10/0.12  % Command  : run-snark %s %d
% 0.12/0.33  % Computer : n005.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 13:59:38 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 2022-06-16T13:59:39
% 0.18/0.46  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n005.cluster.edu at 2022-06-16T13:59:39
% 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/sandbox/benchmark/theBenchmark.p
% 0.18/0.51  % SZS output start Refutation
% See solution above
% 0.18/0.52  ||#
% 0.18/0.52  
% 0.18/0.52  ; Summary of computation:
% 0.18/0.52  ;       197 formulas have been input or derived (from 20 formulas).
% 0.18/0.52  ;        55 (28%) were retained.  Of these,
% 0.18/0.52  ;            1 ( 2%) were simplified or subsumed later,
% 0.18/0.52  ;           54 (98%) are still being kept.
% 0.18/0.52  ; 
% 0.18/0.52  ; Run time in seconds:
% 0.18/0.52  ;     0.005   9%   Read assertion file          (1 call)
% 0.18/0.52  ;     0.000   0%   Assert                       (18 calls)
% 0.18/0.52  ;     0.006  11%   Process new row              (174 calls)
% 0.18/0.52  ;     0.001   2%   Resolution                   (38 calls)
% 0.18/0.52  ;     0.006  11%   Paramodulation               (19 calls)
% 0.18/0.52  ;     0.000   0%   Embedding                    (7 calls)
% 0.18/0.52  ;     0.004   7%   Condensing                   (47 calls)
% 0.18/0.52  ;     0.001   2%   Forward subsumption          (47 calls)
% 0.18/0.52  ;     0.000   0%   Backward subsumption         (15 calls)
% 0.18/0.52  ;     0.000   0%   Clause clause subsumption    (67 calls)
% 0.18/0.52  ;     0.009  16%   Forward simplification       (170 calls)
% 0.18/0.52  ;     0.002   4%   Backward simplification      (51 calls)
% 0.18/0.52  ;     0.001   2%   Ordering                     (265 calls)
% 0.18/0.52  ;     0.000   0%   Ordering ac                  (52 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  ;     0.022  39%   Other
% 0.18/0.52  ;     0.057        Total
% 0.18/0.52  ;     0.059        Real time
% 0.18/0.52  ; 
% 0.18/0.52  ; Term-hash-array has 143 terms in all.
% 0.18/0.52  ; Feature-vector-row-index has 15 entries (15 at peak, 15 added, 0 deleted).
% 0.18/0.52  ; Feature-vector-row-index has 89 nodes (89 at peak, 89 added, 0 deleted).
% 0.18/0.52  ;  Retrieved 93 possibly forward subsuming rows in 47 calls.
% 0.18/0.52  ;  Retrieved 0 possibly backward subsumed rows in 15 calls.
% 0.18/0.52  ; Path-index has 145 entries (145 at peak, 147 added, 2 deleted).
% 0.18/0.52  ; Path-index has 240 nodes (240 at peak, 244 added, 4 deleted).
% 0.18/0.52  ; Trie-index has 145 entries (145 at peak, 147 added, 2 deleted).
% 0.18/0.52  ; Trie-index has 233 nodes (233 at peak, 248 added, 15 deleted).
% 0.18/0.52  ; Retrieved 1,847 generalization terms in 895 calls.
% 0.18/0.52  ; Retrieved 58 instance terms in 51 calls.
% 0.18/0.52  ; Retrieved 405 unifiable terms in 95 calls.
% 0.18/0.52  ; 
% 0.18/0.52  ; The agenda of rows to process has 14 entries:
% 0.18/0.52  ;     1 with value 13              1 with value 28               1 with value 37
% 0.18/0.52  ;     1 with value 19              2 with value 30               1 with value 40
% 0.18/0.52  ;     1 with value 22              1 with value 32               1 with value 42
% 0.18/0.52  ;     2 with value 25              1 with value 35               1 with value 47
% 0.18/0.52  ; The agenda of input rows to give has 3 entries:
% 0.18/0.52  ;     1 with value 15              2 with value 16
% 0.18/0.52  ; The agenda of rows to give has 31 entries:
% 0.18/0.52  ;     2 with value (4 5)           1 with value (4 13)           1 with value (4 23)
% 0.18/0.52  ;     2 with value (4 7)           1 with value (4 15)           1 with value (4 24)
% 0.18/0.52  ;     1 with value (4 8)           2 with value (4 17)           1 with value (4 25)
% 0.18/0.52  ;     2 with value (4 9)           2 with value (4 18)           1 with value (4 26)
% 0.18/0.52  ;     3 with value (4 10)          7 with value (4 20)           1 with value (4 30)
% 0.18/0.52  ;     1 with value (4 11)          2 with value (4 21)
% 0.18/0.52  Evaluation took:
% 0.18/0.52    0.059 seconds of real time
% 0.18/0.52    0.051809 seconds of user run time
% 0.18/0.52    0.007183 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    3,005,680 bytes consed.
% 0.18/0.52  :PROOF-FOUND
% 0.18/0.52  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-16T13:59:39
% 0.18/0.52  :PROOF-FOUND
% 0.18/0.52  * 
%------------------------------------------------------------------------------