TSTP Solution File: NUN069+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : NUN069+1 : TPTP v8.1.0. Released v7.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n020.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 : Mon Jul 18 16:38:16 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;   3 RR)
%            Number of literals    :    9 (   0 equ;   5 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    2 (   2 usr;   0 con; 1-2 aty)
%            Number of variables   :    8 (   3 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(9,axiom,
    id(X,X),
    file('/export/starexec/sandbox2/benchmark/Axioms/NUM009+0.ax',axiom_5) ).

cnf(16,axiom,
    r2(X,'SKOLEMAAAV7'(X,Y)),
    file('/export/starexec/sandbox2/benchmark/Axioms/NUM009+0.ax',axiom_1a) ).

cnf(32,axiom,
    r1('SKOLEMAAAV17'(X)),
    file('/export/starexec/sandbox2/benchmark/Axioms/NUM009+0.ax',axiom_5a) ).

cnf(38,negated_conjecture,
    ( ~ id(X,X)
    | ~ r1(Y)
    | ~ r2(Y,X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',oneidone) ).

cnf(39,plain,
    ( ~ r1(X)
    | ~ r2(X,Y) ),
    inference('REWRITE',[status(thm)],[38,9]) ).

cnf(45,plain,
    $false,
    inference('HYPERRESOLVE',[status(thm)],[39,32,16]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13  % Problem  : NUN069+1 : TPTP v8.1.0. Released v7.3.0.
% 0.11/0.13  % Command  : run-snark %s %d
% 0.13/0.35  % Computer : n020.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 600
% 0.13/0.35  % DateTime : Thu Jun  2 10:43:53 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.20/0.47  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.48  * 
% 0.20/0.48  * 
% 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)
% 0.20/0.49   (USE-FACTORING :POS)
% 0.20/0.49   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.49   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.49   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.49   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.49   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.49   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.49   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.49   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.49   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.49   (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.49  * 
% 0.20/0.49  "."
% 0.20/0.49  * 
% 0.20/0.49  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-02T10:43:53
% 0.20/0.49  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n020.cluster.edu at 2022-06-02T10:43:53
% 0.20/0.50  
% 0.20/0.50  ; Recognized commutativity assertion (OR (NOT (|id| ?X ?Y)) (|id| ?Y ?X)).
% 0.20/0.51  ; Recognized relation function assertion (|r4| ?X ?Y (SKOLEMAAAV12 ?X ?Y)).
% 0.20/0.52  ; Declaring id to be 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  ;        71 formulas have been input or derived (from 12 formulas).
% 0.20/0.53  ;        45 (63%) were retained.  Of these,
% 0.20/0.53  ;            1 ( 2%) were simplified or subsumed later,
% 0.20/0.53  ;           44 (98%) are still being kept.
% 0.20/0.53  ; 
% 0.20/0.53  ; Run time in seconds:
% 0.20/0.53  ;     0.007  18%   Read assertion file          (1 call)
% 0.20/0.53  ;     0.002   5%   Assert                       (19 calls)
% 0.20/0.53  ;     0.003   8%   Process new row              (52 calls)
% 0.20/0.53  ;     0.001   3%   Resolution                   (22 calls)
% 0.20/0.53  ;     0.000   0%   Paramodulation               (11 calls)
% 0.20/0.53  ;     0.000   0%   Condensing                   (24 calls)
% 0.20/0.53  ;     0.002   5%   Forward subsumption          (24 calls)
% 0.20/0.53  ;     0.000   0%   Backward subsumption         (20 calls)
% 0.20/0.53  ;     0.000   0%   Clause clause subsumption    (5 calls)
% 0.20/0.53  ;     0.000   0%   Forward simplification       (52 calls)
% 0.20/0.53  ;     0.000   0%   Backward simplification      (44 calls)
% 0.20/0.53  ;     0.001   3%   Ordering                     (8 calls)
% 0.20/0.53  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.20/0.53  ;     0.000   0%   Purity testing               (1 call)
% 0.20/0.53  ;     0.023  59%   Other
% 0.20/0.53  ;     0.039        Total
% 0.20/0.53  ;     0.039        Real time
% 0.20/0.53  ; 
% 0.20/0.53  ; Term-hash-array has 85 terms in all.
% 0.20/0.53  ; Feature-vector-row-index has 20 entries (20 at peak, 20 added, 0 deleted).
% 0.20/0.53  ; Feature-vector-row-index has 51 nodes (51 at peak, 51 added, 0 deleted).
% 0.20/0.53  ;  Retrieved 4 possibly forward subsuming rows in 24 calls.
% 0.20/0.53  ;  Retrieved 1 possibly backward subsumed row in 20 calls.
% 0.20/0.53  ; Path-index has 86 entries (86 at peak, 86 added, 0 deleted).
% 0.20/0.53  ; Path-index has 224 nodes (224 at peak, 224 added, 0 deleted).
% 0.20/0.53  ; Trie-index has 86 entries (86 at peak, 86 added, 0 deleted).
% 0.20/0.53  ; Trie-index has 168 nodes (168 at peak, 168 added, 0 deleted).
% 0.20/0.53  ; Retrieved 39 generalization terms in 60 calls.
% 0.20/0.53  ; Retrieved 30 instance terms in 23 calls.
% 0.20/0.53  ; Retrieved 210 unifiable terms in 48 calls.
% 0.20/0.53  ; 
% 0.20/0.53  ; The agenda of rows to process has 4 entries:
% 0.20/0.53  ;     1 with value 4               3 with value 7
% 0.20/0.53  ; The agenda of input rows to give has 27 entries:
% 0.20/0.53  ;     4 with value 8               2 with value 11               2 with value 16
% 0.20/0.53  ;     3 with value 9               7 with value 12               2 with value 22
% 0.20/0.53  ;     6 with value 10              1 with value 13
% 0.20/0.53  ; The agenda of rows to give has 5 entries:
% 0.20/0.53  ;     1 with value (4 4)           1 with value (4 6)            3 with value (4 7)
% 0.20/0.53  Evaluation took:
% 0.20/0.53    0.041 seconds of real time
% 0.20/0.53    0.029539 seconds of user run time
% 0.20/0.53    0.010787 seconds of system run time
% 0.20/0.53    0 calls to %EVAL
% 0.20/0.53    0 page faults and
% 0.20/0.53    2,051,592 bytes consed.
% 0.20/0.53  :PROOF-FOUND
% 0.20/0.53  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-02T10:43:53
% 0.20/0.53  :PROOF-FOUND
% 0.20/0.53  * 
%------------------------------------------------------------------------------