TSTP Solution File: NUM458+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : NUM458+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n016.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 14:10:42 EDT 2022

% Result   : Theorem 0.19s 0.51s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    5
% Syntax   : Number of clauses     :    7 (   5 unt;   0 nHn;   7 RR)
%            Number of literals    :   12 (   3 equ;   6 neg)
%            Maximal clause size   :    5 (   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;   2 con; 0-2 aty)
%            Number of variables   :    4 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(1,axiom,
    aNaturalNumber0(sz00),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsC) ).

cnf(8,axiom,
    ( ~ aNaturalNumber0(X)
    | sdtpldt0(X,sz00) = X ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_AddZero) ).

cnf(27,axiom,
    ( ~ aNaturalNumber0(X)
    | ~ aNaturalNumber0(Y)
    | sdtlseqdt0(X,Y)
    | ~ aNaturalNumber0(Z)
    | sdtpldt0(X,Z) != Y ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefLE) ).

cnf(31,hypothesis,
    aNaturalNumber0(xm),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__718) ).

cnf(32,negated_conjecture,
    ~ sdtlseqdt0(xm,xm),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).

cnf(33,plain,
    sdtpldt0(xm,sz00) = xm,
    inference('HYPERRESOLVE',[status(thm)],[8,31]) ).

cnf(57,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[27,31,31,32,1]),33,theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : NUM458+1 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13  % Command  : run-snark %s %d
% 0.13/0.34  % Computer : n016.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 : Tue Jul  5 11:28:33 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.19/0.45  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.46  * 
% 0.19/0.46  * 
% 0.19/0.47  #<PACKAGE "SNARK-USER">
% 0.19/0.47  * 
% 0.19/0.47  SNARK-TPTP-OPTIONS
% 0.19/0.47  * 
% 0.19/0.47  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.47   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.47   (USE-FACTORING :POS)
% 0.19/0.47   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.47   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.47   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.47   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.47   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.47   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.47   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.47   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.47   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.47   (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.47  * 
% 0.19/0.47  "."
% 0.19/0.47  * 
% 0.19/0.47  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-05T11:28:33
% 0.19/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n016.cluster.edu at 2022-07-05T11:28:33
% 0.19/0.51  
% 0.19/0.51  
% 0.19/0.51  #||
% 0.19/0.51  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.51  % SZS output start Refutation
% See solution above
% 0.19/0.51  ||#
% 0.19/0.51  
% 0.19/0.51  ; Summary of computation:
% 0.19/0.51  ;       149 formulas have been input or derived (from 21 formulas).
% 0.19/0.51  ;        57 (38%) were retained.  Of these,
% 0.19/0.51  ;           57 (100%) are still being kept.
% 0.19/0.51  ; 
% 0.19/0.51  ; Run time in seconds excluding printing time:
% 0.19/0.51  ;     0.005  11%   Read assertion file          (1 call)
% 0.19/0.51  ;     0.002   4%   Assert                       (21 calls)
% 0.19/0.51  ;     0.003   7%   Process new row              (149 calls)
% 0.19/0.51  ;     0.005  11%   Resolution                   (40 calls)
% 0.19/0.51  ;     0.000   0%   Paramodulation               (20 calls)
% 0.19/0.51  ;     0.002   4%   Condensing                   (27 calls)
% 0.19/0.51  ;     0.001   2%   Forward subsumption          (27 calls)
% 0.19/0.51  ;     0.000   0%   Backward subsumption         (27 calls)
% 0.19/0.51  ;     0.000   0%   Clause clause subsumption    (20 calls)
% 0.19/0.51  ;     0.003   7%   Forward simplification       (149 calls)
% 0.19/0.51  ;     0.001   2%   Backward simplification      (57 calls)
% 0.19/0.51  ;     0.000   0%   Ordering                     (25 calls)
% 0.19/0.51  ;     0.001   2%   Sortal reasoning             (32 calls)
% 0.19/0.51  ;     0.000   0%   Purity testing               (1 call)
% 0.19/0.51  ;     0.022  49%   Other
% 0.19/0.51  ;     0.045        Total
% 0.19/0.51  ;     0.047        Real time
% 0.19/0.51  ; 
% 0.19/0.51  ; Term-hash-array has 105 terms in all.
% 0.19/0.51  ; Feature-vector-row-index has 27 entries (27 at peak, 27 added, 0 deleted).
% 0.19/0.51  ; Feature-vector-row-index has 75 nodes (75 at peak, 75 added, 0 deleted).
% 0.19/0.51  ;  Retrieved 13 possibly forward subsuming rows in 27 calls.
% 0.19/0.51  ;  Retrieved 7 possibly backward subsumed rows in 27 calls.
% 0.19/0.51  ; Path-index has 108 entries (108 at peak, 108 added, 0 deleted).
% 0.19/0.51  ; Path-index has 191 nodes (191 at peak, 191 added, 0 deleted).
% 0.19/0.51  ; Trie-index has 108 entries (108 at peak, 108 added, 0 deleted).
% 0.19/0.51  ; Trie-index has 233 nodes (233 at peak, 233 added, 0 deleted).
% 0.19/0.51  ; Retrieved 129 generalization terms in 346 calls.
% 0.19/0.51  ; Retrieved 29 instance terms in 29 calls.
% 0.19/0.51  ; Retrieved 3,078 unifiable terms in 451 calls.
% 0.19/0.51  ; 
% 0.19/0.51  ; The agenda of input rows to give has 12 entries:
% 0.19/0.51  ;     1 with value 20              2 with value 23               2 with value 26
% 0.19/0.51  ;     1 with value 21              1 with value 24               1 with value 27
% 0.19/0.51  ;     2 with value 22              2 with value 25
% 0.19/0.51  ; The agenda of rows to give has 24 entries:
% 0.19/0.51  ;     5 with value (4 7)          18 with value (4 8)            1 with value (4 10)
% 0.19/0.51  Evaluation took:
% 0.19/0.51    0.047 seconds of real time
% 0.19/0.51    0.040751 seconds of user run time
% 0.19/0.51    0.005968 seconds of system run time
% 0.19/0.51    0 calls to %EVAL
% 0.19/0.51    0 page faults and
% 0.19/0.51    2,407,096 bytes consed.
% 0.19/0.51  :PROOF-FOUND
% 0.19/0.51  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-05T11:28:33
% 0.19/0.51  :PROOF-FOUND
% 0.19/0.51  * 
%------------------------------------------------------------------------------