TSTP Solution File: NUN067+2 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : NUN067+2 : TPTP v8.1.0. Released v7.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n025.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 0.51s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    5
% Syntax   : Number of clauses     :   11 (   8 unt;   0 nHn;   5 RR)
%            Number of literals    :   15 (   6 equ;   7 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   1 con; 0-2 aty)
%            Number of variables   :   17 (  11 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(1,axiom,
    ( ~ r1(X)
    | X = 'SKOLEMAAAV1' ),
    file('/export/starexec/sandbox2/benchmark/Axioms/NUM008+0.ax',axiom_1) ).

cnf(14,axiom,
    r2(X,'SKOLEMAAAV11'(X,Y)),
    file('/export/starexec/sandbox2/benchmark/Axioms/NUM008+0.ax',axiom_2a) ).

cnf(32,axiom,
    ( ~ r1(X)
    | X != Y
    | ~ r2(Z,Y) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/NUM008+0.ax',axiom_7a) ).

cnf(33,negated_conjecture,
    r1('SKOLEMAAAV21'(X)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',nonzerosexist) ).

cnf(34,negated_conjecture,
    X = 'SKOLEMAAAV21'(X),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',nonzerosexist) ).

cnf(35,plain,
    r1(X),
    inference('REWRITE',[status(thm)],[33,34,theory(equality)]) ).

cnf(36,plain,
    X = 'SKOLEMAAAV1',
    inference('REWRITE',[status(thm)],[1,35]) ).

cnf(37,plain,
    ( X != Y
    | ~ r2(Z,Y) ),
    inference('REWRITE',[status(thm)],[32,35]) ).

cnf(40,plain,
    X = Y,
    inference('PARAMODULATE',[status(thm)],[36,36,theory(equality)]) ).

cnf(41,plain,
    ~ r2(X,Y),
    inference('REWRITE',[status(thm)],[37,40,theory(equality)]) ).

cnf(42,plain,
    $false,
    inference('REWRITE',[status(thm)],[14,41]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem  : NUN067+2 : TPTP v8.1.0. Released v7.3.0.
% 0.04/0.13  % Command  : run-snark %s %d
% 0.13/0.34  % Computer : n025.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 04:44:29 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  * 
% 0.20/0.47  #<PACKAGE "SNARK-USER">
% 0.20/0.47  * 
% 0.20/0.47  SNARK-TPTP-OPTIONS
% 0.20/0.47  * 
% 0.20/0.47  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.47   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.47   (USE-FACTORING :POS)
% 0.20/0.47   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.47   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.47   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.47   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.47   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.47   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.47   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.47   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.47   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.47   (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.47  * 
% 0.20/0.47  "."
% 0.20/0.47  * 
% 0.20/0.47  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-02T04:44:29
% 0.20/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n025.cluster.edu at 2022-06-02T04:44:29
% 0.20/0.49  
% 0.20/0.50  WARNING: Cannot use equality or equivalence (= ?X SKOLEMAAAV1) as rewrite.
% 0.20/0.51  ; Recognized relation function assertion (|r4| ?X ?Y (SKOLEMAAAV12 ?X ?Y)).
% 0.20/0.51  
% 0.20/0.51  #||
% 0.20/0.51  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.51  % SZS output start Refutation
% See solution above
% 0.20/0.51  ||#
% 0.20/0.51  
% 0.20/0.51  ; Summary of computation:
% 0.20/0.51  ;        48 formulas have been input or derived (from 3 formulas).
% 0.20/0.51  ;        42 (88%) were retained.  Of these,
% 0.20/0.51  ;           31 (74%) were simplified or subsumed later,
% 0.20/0.51  ;           11 (26%) are still being kept.
% 0.20/0.51  ; 
% 0.20/0.51  ; Run time in seconds:
% 0.20/0.51  ;     0.005  14%   Read assertion file          (1 call)
% 0.20/0.51  ;     0.001   3%   Assert                       (12 calls)
% 0.20/0.51  ;     0.003   9%   Process new row              (42 calls)
% 0.20/0.51  ;     0.000   0%   Resolution                   (4 calls)
% 0.20/0.51  ;     0.000   0%   Paramodulation               (2 calls)
% 0.20/0.51  ;     0.000   0%   Condensing                   (15 calls)
% 0.20/0.51  ;     0.000   0%   Forward subsumption          (15 calls)
% 0.20/0.51  ;     0.000   0%   Backward subsumption         (15 calls)
% 0.20/0.51  ;     0.000   0%   Clause clause subsumption    (1 call)
% 0.20/0.51  ;     0.001   3%   Forward simplification       (42 calls)
% 0.20/0.51  ;     0.001   3%   Backward simplification      (41 calls)
% 0.20/0.51  ;     0.000   0%   Ordering                     (13 calls)
% 0.20/0.51  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.20/0.51  ;     0.001   3%   Purity testing               (1 call)
% 0.20/0.51  ;     0.023  66%   Other
% 0.20/0.51  ;     0.035        Total
% 0.20/0.51  ;     0.036        Real time
% 0.20/0.51  ; 
% 0.20/0.51  ; Term-hash-array has 73 terms in all.
% 0.20/0.51  ; Feature-vector-row-index has 0 entries (14 at peak, 15 added, 15 deleted).
% 0.20/0.51  ; Feature-vector-row-index has 1 node (32 at peak, 33 added, 32 deleted).
% 0.20/0.51  ;  Retrieved 0 possibly forward subsuming rows in 15 calls.
% 0.20/0.51  ;  Retrieved 3 possibly backward subsumed rows in 15 calls.
% 0.20/0.51  ; Path-index has 19 entries (66 at peak, 81 added, 62 deleted).
% 0.20/0.51  ; Path-index has 172 nodes (219 at peak, 234 added, 62 deleted).
% 0.20/0.51  ; Trie-index has 19 entries (66 at peak, 81 added, 62 deleted).
% 0.20/0.51  ; Trie-index has 71 nodes (150 at peak, 176 added, 105 deleted).
% 0.20/0.51  ; Retrieved 2 generalization terms in 28 calls.
% 0.20/0.51  ; Retrieved 46 instance terms in 25 calls.
% 0.20/0.51  ; Retrieved 16 unifiable terms in 7 calls.
% 0.20/0.51  ; 
% 0.20/0.51  ; The agenda of backward simplifiable rows to process has 3 entries:
% 0.20/0.51  ;     3 with value 0
% 0.20/0.51  ; The agenda of input rows to give has 8 entries:
% 0.20/0.51  ;     1 with value 4               3 with value 8                3 with value 10
% 0.20/0.51  ;     1 with value 7
% 0.20/0.51  ; The agenda of rows to give has 1 entry:
% 0.20/0.51  ;     1 with value (4 5)
% 0.20/0.51  Evaluation took:
% 0.20/0.51    0.036 seconds of real time
% 0.20/0.51    0.030045 seconds of user run time
% 0.20/0.51    0.005893 seconds of system run time
% 0.20/0.51    0 calls to %EVAL
% 0.20/0.51    0 page faults and
% 0.20/0.51    2,161,464 bytes consed.
% 0.20/0.51  :PROOF-FOUND
% 0.20/0.51  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-02T04:44:29
% 0.20/0.51  :PROOF-FOUND
% 0.20/0.51  * 
%------------------------------------------------------------------------------