TSTP Solution File: NUN088+2 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : NUN088+2 : TPTP v8.1.0. Released v7.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n022.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 16:38:21 EDT 2022

% Result   : Theorem 0.21s 0.53s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    6
% Syntax   : Number of clauses     :   13 (  11 unt;   0 nHn;  13 RR)
%            Number of literals    :   16 (   5 equ;   4 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   4 con; 0-0 aty)
%            Number of variables   :    4 (   1 sgn)

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

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('SKOLEMAAAV22'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',zerouneqone) ).

cnf(34,negated_conjecture,
    'SKOLEMAAAV22' = 'SKOLEMAAAV21',
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',zerouneqone) ).

cnf(35,negated_conjecture,
    r1('SKOLEMAAAV23'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',zerouneqone) ).

cnf(36,negated_conjecture,
    r2('SKOLEMAAAV23','SKOLEMAAAV21'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',zerouneqone) ).

cnf(37,plain,
    r1('SKOLEMAAAV21'),
    inference('REWRITE',[status(thm)],[33,34,theory(equality)]) ).

cnf(41,plain,
    'SKOLEMAAAV23' = 'SKOLEMAAAV1',
    inference('HYPERRESOLVE',[status(thm)],[1,35]) ).

cnf(42,plain,
    r1('SKOLEMAAAV1'),
    inference('REWRITE',[status(thm)],[35,41,theory(equality)]) ).

cnf(43,plain,
    r2('SKOLEMAAAV1','SKOLEMAAAV21'),
    inference('REWRITE',[status(thm)],[36,41,theory(equality)]) ).

cnf(44,plain,
    'SKOLEMAAAV21' = 'SKOLEMAAAV1',
    inference('HYPERRESOLVE',[status(thm)],[1,37]) ).

cnf(46,plain,
    r2('SKOLEMAAAV1','SKOLEMAAAV1'),
    inference('REWRITE',[status(thm)],[43,44,theory(equality)]) ).

cnf(62,plain,
    $false,
    inference('HYPERRESOLVE',[status(thm)],[32,42,46,theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem  : NUN088+2 : TPTP v8.1.0. Released v7.3.0.
% 0.12/0.14  % Command  : run-snark %s %d
% 0.14/0.35  % Computer : n022.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 600
% 0.14/0.35  % DateTime : Thu Jun  2 05:31:37 EDT 2022
% 0.14/0.35  % CPUTime  : 
% 0.21/0.48  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.49  * 
% 0.21/0.49  * 
% 0.21/0.49  #<PACKAGE "SNARK-USER">
% 0.21/0.49  * 
% 0.21/0.49  SNARK-TPTP-OPTIONS
% 0.21/0.49  * 
% 0.21/0.49  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.49   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.49   (USE-FACTORING :POS)
% 0.21/0.49   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.49   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.49   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.49   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.49   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.49   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.49   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.49   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.49   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.49   (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.49  * 
% 0.21/0.49  "."
% 0.21/0.49  * 
% 0.21/0.49  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-02T05:31:37
% 0.21/0.49  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n022.cluster.edu at 2022-06-02T05:31:37
% 0.21/0.51  
% 0.21/0.53  ; Recognized relation function assertion (|r4| ?X ?Y (SKOLEMAAAV12 ?X ?Y)).
% 0.21/0.53  
% 0.21/0.53  #||
% 0.21/0.53  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.53  % SZS output start Refutation
% See solution above
% 0.21/0.53  ||#
% 0.21/0.53  
% 0.21/0.53  ; Summary of computation:
% 0.21/0.53  ;       115 formulas have been input or derived (from 32 formulas).
% 0.21/0.53  ;        62 (54%) were retained.  Of these,
% 0.21/0.53  ;           21 (34%) were simplified or subsumed later,
% 0.21/0.53  ;           41 (66%) are still being kept.
% 0.21/0.53  ; 
% 0.21/0.53  ; Run time in seconds excluding printing time:
% 0.21/0.53  ;     0.005  13%   Read assertion file          (1 call)
% 0.21/0.53  ;     0.002   5%   Assert                       (12 calls)
% 0.21/0.53  ;     0.005  13%   Process new row              (91 calls)
% 0.21/0.53  ;     0.001   3%   Resolution                   (62 calls)
% 0.21/0.53  ;     0.002   5%   Paramodulation               (31 calls)
% 0.21/0.53  ;     0.000   0%   Factoring                    (1 call)
% 0.21/0.53  ;     0.000   0%   Condensing                   (15 calls)
% 0.21/0.53  ;     0.000   0%   Forward subsumption          (15 calls)
% 0.21/0.53  ;     0.000   0%   Backward subsumption         (15 calls)
% 0.21/0.53  ;     0.000   0%   Clause clause subsumption    (1 call)
% 0.21/0.53  ;     0.001   3%   Forward simplification       (84 calls)
% 0.21/0.53  ;     0.001   3%   Backward simplification      (61 calls)
% 0.21/0.53  ;     0.000   0%   Ordering                     (51 calls)
% 0.21/0.53  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.21/0.53  ;     0.000   0%   Purity testing               (1 call)
% 0.21/0.53  ;     0.022  56%   Other
% 0.21/0.53  ;     0.039        Total
% 0.21/0.53  ;     0.040        Real time
% 0.21/0.53  ; 
% 0.21/0.53  ; Term-hash-array has 99 terms in all.
% 0.21/0.54  ; Feature-vector-row-index has 15 entries (15 at peak, 15 added, 0 deleted).
% 0.21/0.54  ; Feature-vector-row-index has 35 nodes (35 at peak, 35 added, 0 deleted).
% 0.21/0.54  ;  Retrieved 1 possibly forward subsuming row in 15 calls.
% 0.21/0.54  ;  Retrieved 2 possibly backward subsumed rows in 15 calls.
% 0.21/0.54  ; Path-index has 80 entries (80 at peak, 107 added, 27 deleted).
% 0.21/0.54  ; Path-index has 249 nodes (249 at peak, 287 added, 38 deleted).
% 0.21/0.54  ; Trie-index has 80 entries (80 at peak, 107 added, 27 deleted).
% 0.21/0.54  ; Trie-index has 185 nodes (185 at peak, 245 added, 60 deleted).
% 0.21/0.54  ; Retrieved 21 generalization terms in 70 calls.
% 0.21/0.54  ; Retrieved 48 instance terms in 45 calls.
% 0.21/0.54  ; Retrieved 506 unifiable terms in 168 calls.
% 0.21/0.54  ; 
% 0.21/0.54  ; The agenda of rows to process has 16 entries:
% 0.21/0.54  ;     2 with value 4               3 with value 6                2 with value 8
% 0.21/0.54  ;     3 with value 5               5 with value 7                1 with value 9
% 0.21/0.54  ; The agenda of input rows to give has 8 entries:
% 0.21/0.54  ;     6 with value 12              1 with value 13               1 with value 16
% 0.21/0.54  ; The agenda of rows to give has 10 entries:
% 0.21/0.54  ;     2 with value (4 5)           2 with value (4 9)            1 with value (4 13)
% 0.21/0.54  ;     4 with value (4 7)           1 with value (4 12)
% 0.21/0.54  Evaluation took:
% 0.21/0.54    0.041 seconds of real time
% 0.21/0.54    0.032033 seconds of user run time
% 0.21/0.54    0.009043 seconds of system run time
% 0.21/0.54    0 calls to %EVAL
% 0.21/0.54    0 page faults and
% 0.21/0.54    2,407,160 bytes consed.
% 0.21/0.54  :PROOF-FOUND
% 0.21/0.54  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-02T05:31:37
% 0.21/0.54  :PROOF-FOUND
% 0.21/0.54  * 
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