TSTP Solution File: NUN067+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : NUN067+1 : TPTP v8.1.0. Released v7.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n028.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 0.19s 0.52s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    6
% Syntax   : Number of clauses     :   10 (   6 unt;   0 nHn;   5 RR)
%            Number of literals    :   16 (   0 equ;   8 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    :    3 (   3 usr;   1 con; 0-2 aty)
%            Number of variables   :   15 (   7 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(1,axiom,
    ( id(X,'SKOLEMAAAU1')
    | ~ r1(X) ),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM009+0.ax',axiom_1) ).

cnf(11,axiom,
    ( ~ id(X,Y)
    | ~ r1(X)
    | r1(Y) ),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM009+0.ax',axiom_8) ).

cnf(21,axiom,
    r2(X,'SKOLEMAAAU11'(X,Y)),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM009+0.ax',axiom_2a) ).

cnf(37,axiom,
    ( ~ id(X,Y)
    | ~ r1(X)
    | ~ r2(Z,Y) ),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM009+0.ax',axiom_7a) ).

cnf(38,negated_conjecture,
    id(X,'SKOLEMAAAU21'(X)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',nonzerosexistid) ).

cnf(39,negated_conjecture,
    r1('SKOLEMAAAU21'(X)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',nonzerosexistid) ).

cnf(52,plain,
    r1(X),
    inference('HYPERRESOLVE',[status(thm)],[11,38,39]) ).

cnf(53,plain,
    id(X,'SKOLEMAAAU1'),
    inference('REWRITE',[status(thm)],[1,52]) ).

cnf(54,plain,
    ( ~ id(X,Y)
    | ~ r2(Z,Y) ),
    inference('REWRITE',[status(thm)],[37,52]) ).

cnf(56,plain,
    $false,
    inference('HYPERRESOLVE',[status(thm)],[54,53,21]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem  : NUN067+1 : TPTP v8.1.0. Released v7.3.0.
% 0.04/0.13  % Command  : run-snark %s %d
% 0.13/0.34  % Computer : n028.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  2 08:11:08 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.19/0.46  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.47  * 
% 0.19/0.47  * 
% 0.19/0.47  #<PACKAGE "SNARK-USER">
% 0.19/0.47  * 
% 0.19/0.48  SNARK-TPTP-OPTIONS
% 0.19/0.48  * 
% 0.19/0.48  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.48   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.48   (USE-FACTORING :POS)
% 0.19/0.48   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.48   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.48   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.48   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.48   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.48   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.48   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.48   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.48   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.48   (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.48  * 
% 0.19/0.48  "."
% 0.19/0.48  * 
% 0.19/0.48  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-02T08:11:08
% 0.19/0.48  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n028.cluster.edu at 2022-06-02T08:11:08
% 0.19/0.49  
% 0.19/0.49  ; Recognized commutativity assertion (OR (NOT (|id| ?X ?Y)) (|id| ?Y ?X)).
% 0.19/0.49  ; Recognized relation function assertion (|r4| ?X ?Y (SKOLEMAAAU12 ?X ?Y)).
% 0.19/0.52  ; Declaring id to be commutative.
% 0.19/0.52  
% 0.19/0.52  #||
% 0.19/0.52  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.52  % SZS output start Refutation
% See solution above
% 0.19/0.52  ||#
% 0.19/0.52  
% 0.19/0.52  ; Summary of computation:
% 0.19/0.52  ;       145 formulas have been input or derived (from 25 formulas).
% 0.19/0.52  ;        56 (39%) were retained.  Of these,
% 0.19/0.52  ;           18 (32%) were simplified or subsumed later,
% 0.19/0.52  ;           38 (68%) are still being kept.
% 0.19/0.52  ; 
% 0.19/0.52  ; Run time in seconds excluding printing time:
% 0.19/0.52  ;     0.007  17%   Read assertion file          (1 call)
% 0.19/0.52  ;     0.002   5%   Assert                       (19 calls)
% 0.19/0.52  ;     0.004  10%   Process new row              (99 calls)
% 0.19/0.52  ;     0.002   5%   Resolution                   (48 calls)
% 0.19/0.52  ;     0.000   0%   Paramodulation               (24 calls)
% 0.19/0.52  ;     0.001   2%   Condensing                   (24 calls)
% 0.19/0.52  ;     0.000   0%   Forward subsumption          (24 calls)
% 0.19/0.52  ;     0.000   0%   Backward subsumption         (20 calls)
% 0.19/0.52  ;     0.000   0%   Clause clause subsumption    (6 calls)
% 0.19/0.52  ;     0.001   2%   Forward simplification       (73 calls)
% 0.19/0.52  ;     0.002   5%   Backward simplification      (56 calls)
% 0.19/0.52  ;     0.000   0%   Ordering                     (8 calls)
% 0.19/0.52  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.19/0.52  ;     0.000   0%   Purity testing               (1 call)
% 0.19/0.52  ;     0.022  54%   Other
% 0.19/0.52  ;     0.041        Total
% 0.19/0.52  ;     0.042        Real time
% 0.19/0.52  ; 
% 0.19/0.52  ; Term-hash-array has 99 terms in all.
% 0.19/0.52  ; Feature-vector-row-index has 12 entries (19 at peak, 20 added, 8 deleted).
% 0.19/0.52  ; Feature-vector-row-index has 29 nodes (50 at peak, 51 added, 22 deleted).
% 0.19/0.52  ;  Retrieved 4 possibly forward subsuming rows in 24 calls.
% 0.19/0.52  ;  Retrieved 2 possibly backward subsumed rows in 20 calls.
% 0.19/0.52  ; Path-index has 83 entries (99 at peak, 102 added, 19 deleted).
% 0.19/0.52  ; Path-index has 253 nodes (262 at peak, 263 added, 10 deleted).
% 0.19/0.52  ; Trie-index has 83 entries (99 at peak, 102 added, 19 deleted).
% 0.19/0.52  ; Trie-index has 184 nodes (209 at peak, 211 added, 27 deleted).
% 0.19/0.52  ; Retrieved 56 generalization terms in 81 calls.
% 0.19/0.52  ; Retrieved 54 instance terms in 35 calls.
% 0.19/0.52  ; Retrieved 667 unifiable terms in 175 calls.
% 0.19/0.52  ; 
% 0.19/0.52  ; The agenda of rows to process has 13 entries:
% 0.19/0.52  ;     2 with value 5               4 with value 7                7 with value 8
% 0.19/0.52  ; The agenda of input rows to give has 12 entries:
% 0.19/0.52  ;     3 with value 10              1 with value 13               2 with value 22
% 0.19/0.52  ;     6 with value 12
% 0.19/0.52  ; The agenda of rows to give has 8 entries:
% 0.19/0.52  ;     1 with value (4 4)           1 with value (4 7)            1 with value (4 12)
% 0.19/0.52  ;     1 with value (4 5)           4 with value (4 9)
% 0.19/0.52  Evaluation took:
% 0.19/0.52    0.042 seconds of real time
% 0.19/0.52    0.033073 seconds of user run time
% 0.19/0.52    0.009496 seconds of system run time
% 0.19/0.52    0 calls to %EVAL
% 0.19/0.52    0 page faults and
% 0.19/0.52    2,452,256 bytes consed.
% 0.19/0.52  :PROOF-FOUND
% 0.19/0.52  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-02T08:11:08
% 0.19/0.52  :PROOF-FOUND
% 0.19/0.52  * 
%------------------------------------------------------------------------------