TSTP Solution File: NUN060+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : NUN060+1 : TPTP v8.1.0. Released v7.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n032.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 16:38:14 EDT 2022

% Result   : Theorem 1.06s 1.26s
% Output   : Refutation 1.06s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    1
%            Number of leaves      :    6
% Syntax   : Number of clauses     :    7 (   6 unt;   0 nHn;   2 RR)
%            Number of literals    :   13 (   0 equ;   7 neg)
%            Maximal clause size   :    7 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-3 aty)
%            Number of functors    :    5 (   5 usr;   0 con; 1-2 aty)
%            Number of variables   :   16 (   5 sgn)

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

cnf(16,axiom,
    r2(X,'SKOLEMAAAN7'(X,Y)),
    file('/export/starexec/sandbox2/benchmark/Axioms/NUM009+0.ax',axiom_1a) ).

cnf(21,axiom,
    r2(X,'SKOLEMAAAN11'(X,Y)),
    file('/export/starexec/sandbox2/benchmark/Axioms/NUM009+0.ax',axiom_2a) ).

cnf(23,axiom,
    r3('SKOLEMAAAN12'(X,Y),X,'SKOLEMAAAN9'(Y,X)),
    file('/export/starexec/sandbox2/benchmark/Axioms/NUM009+0.ax',axiom_2a) ).

cnf(32,axiom,
    r1('SKOLEMAAAN17'(X)),
    file('/export/starexec/sandbox2/benchmark/Axioms/NUM009+0.ax',axiom_5a) ).

cnf(38,negated_conjecture,
    ( ~ id(X,Y)
    | ~ r3(Z,U,X)
    | ~ r2(V,U)
    | ~ r2(W,V)
    | ~ r2(X1,W)
    | ~ r1(Y1)
    | ~ r2(Y1,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',greq4id) ).

cnf(2692,plain,
    $false,
    inference('HYPERRESOLVE',[status(thm)],[38,9,23,21,21,21,32,16]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.11  % Problem  : NUN060+1 : TPTP v8.1.0. Released v7.3.0.
% 0.09/0.11  % Command  : run-snark %s %d
% 0.11/0.30  % Computer : n032.cluster.edu
% 0.11/0.30  % Model    : x86_64 x86_64
% 0.11/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.30  % Memory   : 8042.1875MB
% 0.11/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31  % CPULimit : 300
% 0.11/0.31  % WCLimit  : 600
% 0.11/0.31  % DateTime : Thu Jun  2 09:09:30 EDT 2022
% 0.11/0.31  % CPUTime  : 
% 0.16/0.39  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/0.40  * 
% 0.16/0.40  * 
% 0.16/0.40  #<PACKAGE "SNARK-USER">
% 0.16/0.40  * 
% 0.16/0.40  SNARK-TPTP-OPTIONS
% 0.16/0.40  * 
% 0.16/0.40  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.16/0.40   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.16/0.40   (USE-FACTORING :POS)
% 0.16/0.40   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.16/0.40   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.16/0.40   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.16/0.40   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.16/0.40   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.16/0.40   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.16/0.40   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.16/0.40   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.16/0.40   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.16/0.40   (DECLARE-TPTP-SYMBOLS2))
% 0.16/0.40  * 
% 0.16/0.40  "."
% 0.16/0.40  * 
% 0.16/0.40  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-02T09:09:30
% 0.16/0.40  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n032.cluster.edu at 2022-06-02T09:09:30
% 0.16/0.41  
% 0.16/0.41  ; Recognized commutativity assertion (OR (NOT (|id| ?X ?Y)) (|id| ?Y ?X)).
% 0.16/0.41  ; Recognized relation function assertion (|r4| ?X ?Y (SKOLEMAAAN12 ?X ?Y)).
% 1.06/1.26  ; Declaring id to be commutative.
% 1.06/1.26  
% 1.06/1.26  #||
% 1.06/1.26  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.06/1.26  % SZS output start Refutation
% See solution above
% 1.06/1.26  ||#
% 1.06/1.26  
% 1.06/1.26  ; Summary of computation:
% 1.06/1.26  ;      8167 formulas have been input or derived (from 39 formulas).
% 1.06/1.26  ;      2692 (33%) were retained.  Of these,
% 1.06/1.26  ;            8 ( 0%) were simplified or subsumed later,
% 1.06/1.26  ;         2684 (100%) are still being kept.
% 1.06/1.26  ; 
% 1.06/1.26  ; Run time in seconds excluding printing time:
% 1.06/1.26  ;     0.004   0%   Read assertion file          (1 call)
% 1.06/1.26  ;     0.002   0%   Assert                       (19 calls)
% 1.06/1.26  ;     0.217  25%   Process new row              (5,165 calls)
% 1.06/1.26  ;     0.290  34%   Resolution                   (76 calls)
% 1.06/1.26  ;     0.000   0%   Paramodulation               (38 calls)
% 1.06/1.26  ;     0.000   0%   Factoring                    (4 calls)
% 1.06/1.26  ;     0.023   3%   Condensing                   (2,646 calls)
% 1.06/1.26  ;     0.122  14%   Forward subsumption          (2,646 calls)
% 1.06/1.26  ;     0.068   8%   Backward subsumption         (1,986 calls)
% 1.06/1.26  ;     0.037   4%   Clause clause subsumption    (14,362 calls)
% 1.06/1.26  ;     0.044   5%   Forward simplification       (5,165 calls)
% 1.06/1.26  ;     0.011   1%   Backward simplification      (2,692 calls)
% 1.06/1.26  ;     0.008   1%   Ordering                     (5,537 calls)
% 1.06/1.26  ;     0.001   0%   Sortal reasoning             (32 calls)
% 1.06/1.26  ;     0.000   0%   Purity testing               (1 call)
% 1.06/1.26  ;     0.030   4%   Other
% 1.06/1.26  ;     0.857        Total
% 1.06/1.26  ;     0.858        Real time
% 1.06/1.26  ; 
% 1.06/1.26  ; Term-hash-array has 3,390 terms in all.
% 1.06/1.26  ; Feature-vector-row-index has 1,978 entries (1,978 at peak, 1,986 added, 8 deleted).
% 1.06/1.26  ; Feature-vector-row-index has 7,203 nodes (7,203 at peak, 7,245 added, 42 deleted).
% 1.06/1.26  ;  Retrieved 17,657 possibly forward subsuming rows in 2,646 calls.
% 1.06/1.26  ;  Retrieved 575 possibly backward subsumed rows in 1,986 calls.
% 1.06/1.26  ; Path-index has 3,384 entries (3,384 at peak, 3,391 added, 7 deleted).
% 1.06/1.26  ; Path-index has 5,175 nodes (5,175 at peak, 5,182 added, 7 deleted).
% 1.06/1.26  ; Trie-index has 3,384 entries (3,384 at peak, 3,391 added, 7 deleted).
% 1.06/1.26  ; Trie-index has 13,152 nodes (13,152 at peak, 13,168 added, 16 deleted).
% 1.06/1.26  ; Retrieved 6,296 generalization terms in 9,388 calls.
% 1.06/1.26  ; Retrieved 713 instance terms in 705 calls.
% 1.06/1.26  ; Retrieved 450,417 unifiable terms in 17,768 calls.
% 1.06/1.26  ; 
% 1.06/1.26  ; The agenda of rows to process has 2158 entries:
% 1.06/1.26  ;     1 with value 4             273 with value 13             120 with value 20
% 1.06/1.26  ;   208 with value 7              60 with value 15             144 with value 21
% 1.06/1.26  ;   134 with value 8             120 with value 16             288 with value 22
% 1.06/1.26  ;    78 with value 9              72 with value 17              96 with value 23
% 1.06/1.26  ;   156 with value 10            150 with value 18              24 with value 30
% 1.06/1.26  ;    36 with value 11             24 with value 19              96 with value 35
% 1.06/1.26  ;    78 with value 12
% 1.06/1.26  ; The agenda of rows to give has 2645 entries:
% 1.06/1.26  ;     1 with value (4 4)          99 with value (4 21)         111 with value (4 36)
% 1.06/1.26  ;     2 with value (4 6)          84 with value (4 22)          49 with value (4 37)
% 1.06/1.26  ;    12 with value (4 7)          86 with value (4 23)          26 with value (4 38)
% 1.06/1.26  ;     7 with value (4 8)          58 with value (4 24)          30 with value (4 39)
% 1.06/1.26  ;    25 with value (4 9)          58 with value (4 25)          60 with value (4 40)
% 1.06/1.26  ;    20 with value (4 10)         55 with value (4 26)          26 with value (4 41)
% 1.06/1.26  ;    29 with value (4 11)         83 with value (4 27)          20 with value (4 42)
% 1.06/1.26  ;    48 with value (4 12)         83 with value (4 28)          18 with value (4 43)
% 1.06/1.26  ;    58 with value (4 13)         63 with value (4 29)           3 with value (4 45)
% 1.06/1.26  ;    69 with value (4 14)         82 with value (4 30)          12 with value (4 46)
% 1.06/1.26  ;   104 with value (4 15)        130 with value (4 31)           6 with value (4 47)
% 1.06/1.26  ;   108 with value (4 16)        115 with value (4 32)          24 with value (4 48)
% 1.06/1.26  ;   103 with value (4 17)        102 with value (4 33)           3 with value (4 50)
% 1.06/1.26  ;   181 with value (4 18)         61 with value (4 34)           3 with value (4 51)
% 1.06/1.26  ;    78 with value (4 19)         69 with value (4 35)          12 with value (4 53)
% 1.06/1.26  ;   169 with value (4 20)
% 1.06/1.26  Evaluation took:
% 1.06/1.26    0.86 seconds of real time
% 1.06/1.26    0.782691 seconds of user run time
% 1.06/1.26    0.076974 seconds of system run time
% 1.06/1.26    [Run times include 0.081 seconds GC run time.]
% 1.06/1.26    0 calls to %EVAL
% 1.06/1.26    0 page faults and
% 1.06/1.26    77,160,672 bytes consed.
% 1.06/1.26  :PROOF-FOUND
% 1.06/1.26  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-02T09:09:31
% 1.06/1.26  :PROOF-FOUND
% 1.06/1.26  * 
%------------------------------------------------------------------------------