TSTP Solution File: KLE006+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : KLE006+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n016.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 02:26:03 EDT 2022

% Result   : Theorem 0.20s 0.52s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    4
% Syntax   : Number of clauses     :    6 (   4 unt;   0 nHn;   6 RR)
%            Number of literals    :    9 (   3 equ;   5 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   2 con; 0-2 aty)
%            Number of variables   :    4 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(17,axiom,
    ( ~ complement(X,Y)
    | addition(X,Y) = one ),
    file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+1.ax',test_2) ).

cnf(19,axiom,
    ( ~ test(X)
    | c(X) != Y
    | complement(X,Y) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+1.ax',test_3) ).

cnf(22,negated_conjecture,
    test('SKOLEMAAAV2'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).

cnf(23,negated_conjecture,
    one != addition('SKOLEMAAAV2',c('SKOLEMAAAV2')),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).

cnf(32,plain,
    ~ complement('SKOLEMAAAV2',c('SKOLEMAAAV2')),
    inference('UR-RESOLVE',[status(thm)],[17,23]) ).

cnf(34,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[19,22,theory(equality)]),32]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : KLE006+1 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.13  % Command  : run-snark %s %d
% 0.13/0.34  % Computer : n016.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 : Thu Jun 16 10:49:19 EDT 2022
% 0.13/0.34  % 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 2022-06-16T10:49:19
% 0.20/0.48  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n016.cluster.edu at 2022-06-16T10:49:19
% 0.20/0.49  
% 0.20/0.49  ; Recognized commutativity assertion (= (|addition| ?X ?Y) (|addition| ?Y ?X)).
% 0.20/0.49  ; Recognized associativity assertion (= (|addition| ?X (|addition| ?Y ?Z)) (|addition| (|addition| ?X ?Y) ?Z)).
% 0.20/0.49  ; Recognized right identity assertion (= (|addition| ?X |zero|) ?X).
% 0.20/0.49  ; Recognized associativity assertion (= (|multiplication| ?X (|multiplication| ?Y ?Z)) (|multiplication| (|multiplication| ?X ?Y) ?Z)).
% 0.20/0.49  ; Recognized right identity assertion (= (|multiplication| ?X |one|) ?X).
% 0.20/0.50  ; Recognized left identity assertion (= (|multiplication| |one| ?X) ?X).
% 0.20/0.50  ; Declaring addition to be commutative.
% 0.20/0.52  ; Declaring addition to be associative-commutative.
% 0.20/0.52  
% 0.20/0.52  #||
% 0.20/0.52  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.52  % SZS output start Refutation
% See solution above
% 0.20/0.52  ||#
% 0.20/0.52  
% 0.20/0.52  ; Summary of computation:
% 0.20/0.52  ;        98 formulas have been input or derived (from 19 formulas).
% 0.20/0.52  ;        34 (35%) were retained.  Of these,
% 0.20/0.52  ;           34 (100%) are still being kept.
% 0.20/0.52  ; 
% 0.20/0.52  ; Run time in seconds excluding printing time:
% 0.20/0.52  ;     0.004  10%   Read assertion file          (1 call)
% 0.20/0.52  ;     0.002   5%   Assert                       (17 calls)
% 0.20/0.52  ;     0.003   7%   Process new row              (79 calls)
% 0.20/0.52  ;     0.001   2%   Resolution                   (36 calls)
% 0.20/0.52  ;     0.002   5%   Paramodulation               (18 calls)
% 0.20/0.52  ;     0.000   0%   Factoring                    (1 call)
% 0.20/0.52  ;     0.000   0%   Embedding                    (4 calls)
% 0.20/0.52  ;     0.004  10%   Condensing                   (35 calls)
% 0.20/0.52  ;     0.001   2%   Forward subsumption          (35 calls)
% 0.20/0.52  ;     0.000   0%   Backward subsumption         (15 calls)
% 0.20/0.52  ;     0.000   0%   Clause clause subsumption    (31 calls)
% 0.20/0.52  ;     0.003   7%   Forward simplification       (78 calls)
% 0.20/0.52  ;     0.000   0%   Backward simplification      (33 calls)
% 0.20/0.52  ;     0.000   0%   Ordering                     (68 calls)
% 0.20/0.52  ;     0.000   0%   Ordering ac                  (5 calls)
% 0.20/0.52  ;     0.001   2%   Sortal reasoning             (32 calls)
% 0.20/0.52  ;     0.000   0%   Purity testing               (1 call)
% 0.20/0.52  ;     0.021  50%   Other
% 0.20/0.52  ;     0.042        Total
% 0.20/0.52  ;     0.044        Real time
% 0.20/0.52  ; 
% 0.20/0.52  ; Term-hash-array has 59 terms in all.
% 0.20/0.52  ; Feature-vector-row-index has 15 entries (15 at peak, 15 added, 0 deleted).
% 0.20/0.52  ; Feature-vector-row-index has 46 nodes (46 at peak, 46 added, 0 deleted).
% 0.20/0.52  ;  Retrieved 48 possibly forward subsuming rows in 35 calls.
% 0.20/0.52  ;  Retrieved 1 possibly backward subsumed row in 15 calls.
% 0.20/0.52  ; Path-index has 62 entries (62 at peak, 62 added, 0 deleted).
% 0.20/0.52  ; Path-index has 112 nodes (112 at peak, 112 added, 0 deleted).
% 0.20/0.52  ; Trie-index has 62 entries (62 at peak, 62 added, 0 deleted).
% 0.20/0.52  ; Trie-index has 97 nodes (97 at peak, 97 added, 0 deleted).
% 0.20/0.52  ; Retrieved 286 generalization terms in 246 calls.
% 0.20/0.52  ; Retrieved 22 instance terms in 19 calls.
% 0.20/0.52  ; Retrieved 308 unifiable terms in 88 calls.
% 0.20/0.52  ; 
% 0.20/0.52  ; The agenda of rows to process has 12 entries:
% 0.20/0.52  ;     6 with value 10              1 with value 13               1 with value 17
% 0.20/0.52  ;     1 with value 11              3 with value 16
% 0.20/0.52  ; The agenda of input rows to give has 5 entries:
% 0.20/0.52  ;     1 with value 13              2 with value 16               1 with value 25
% 0.20/0.52  ;     1 with value 14
% 0.20/0.52  ; The agenda of rows to give has 10 entries:
% 0.20/0.52  ;     2 with value (4 5)           1 with value (4 9)            1 with value (4 15)
% 0.20/0.52  ;     3 with value (4 7)           1 with value (4 13)           1 with value (4 21)
% 0.20/0.52  ;     1 with value (4 8)
% 0.20/0.52  Evaluation took:
% 0.20/0.52    0.044 seconds of real time
% 0.20/0.52    0.038762 seconds of user run time
% 0.20/0.52    0.004983 seconds of system run time
% 0.20/0.52    0 calls to %EVAL
% 0.20/0.52    0 page faults and
% 0.20/0.52    2,361,864 bytes consed.
% 0.20/0.52  :PROOF-FOUND
% 0.20/0.52  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-16T10:49:19
% 0.20/0.52  :PROOF-FOUND
% 0.20/0.52  * 
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