TSTP Solution File: NUM472+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : NUM472+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n015.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 14:10:50 EDT 2022

% Result   : Theorem 0.19s 0.55s
% 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    :   13 (   1 equ;   7 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   :    5 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(4,axiom,
    ( ~ aNaturalNumber0(X)
    | ~ aNaturalNumber0(Y)
    | aNaturalNumber0(sdtpldt0(X,Y)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsB) ).

cnf(27,axiom,
    ( ~ aNaturalNumber0(X)
    | ~ aNaturalNumber0(Y)
    | sdtlseqdt0(X,Y)
    | ~ aNaturalNumber0(Z)
    | sdtpldt0(X,Z) != Y ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefLE) ).

cnf(51,hypothesis,
    aNaturalNumber0(xm),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1324) ).

cnf(52,hypothesis,
    aNaturalNumber0(xn),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1324) ).

cnf(58,negated_conjecture,
    ~ sdtlseqdt0(xm,sdtpldt0(xm,xn)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).

cnf(93,plain,
    aNaturalNumber0(sdtpldt0(xm,xn)),
    inference('HYPERRESOLVE',[status(thm)],[4,51,52]) ).

cnf(161,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[27,51,58,52,theory(equality)]),93]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : NUM472+1 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.13  % Command  : run-snark %s %d
% 0.13/0.34  % Computer : n015.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 Jul  7 10:14:04 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.19/0.45  /export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p 2022-07-07T10:14:04
% 0.19/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n015.cluster.edu at 2022-07-07T10:14:04
% 0.19/0.49  WARNING:
% 0.19/0.49     |iLess0| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 0.19/0.55  
% 0.19/0.55  
% 0.19/0.55  #||
% 0.19/0.55  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.55  % SZS output start Refutation
% See solution above
% 0.19/0.56  ||#
% 0.19/0.56  
% 0.19/0.56  ; Summary of computation:
% 0.19/0.56  ;       438 formulas have been input or derived (from 35 formulas).
% 0.19/0.56  ;       161 (37%) were retained.  Of these,
% 0.19/0.56  ;            4 ( 2%) were simplified or subsumed later,
% 0.19/0.56  ;          157 (98%) are still being kept.
% 0.19/0.56  ; 
% 0.19/0.56  ; Run time in seconds:
% 0.19/0.56  ;     0.011  13%   Read assertion file          (1 call)
% 0.19/0.56  ;     0.002   2%   Assert                       (39 calls)
% 0.19/0.56  ;     0.011  13%   Process new row              (437 calls)
% 0.19/0.56  ;     0.020  24%   Resolution                   (68 calls)
% 0.19/0.56  ;     0.000   0%   Paramodulation               (34 calls)
% 0.19/0.56  ;     0.003   4%   Condensing                   (81 calls)
% 0.19/0.56  ;     0.002   2%   Forward subsumption          (81 calls)
% 0.19/0.56  ;     0.000   0%   Backward subsumption         (67 calls)
% 0.19/0.56  ;     0.001   1%   Clause clause subsumption    (62 calls)
% 0.19/0.56  ;     0.006   7%   Forward simplification       (436 calls)
% 0.19/0.56  ;     0.002   2%   Backward simplification      (161 calls)
% 0.19/0.56  ;     0.001   1%   Ordering                     (93 calls)
% 0.19/0.56  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.19/0.56  ;     0.001   1%   Purity testing               (1 call)
% 0.19/0.56  ;     0.025  29%   Other
% 0.19/0.56  ;     0.085        Total
% 0.19/0.56  ;     0.085        Real time
% 0.19/0.56  ; 
% 0.19/0.56  ; Term-hash-array has 258 terms in all.
% 0.19/0.56  ; Feature-vector-row-index has 63 entries (63 at peak, 67 added, 4 deleted).
% 0.19/0.56  ; Feature-vector-row-index has 178 nodes (184 at peak, 194 added, 16 deleted).
% 0.19/0.56  ;  Retrieved 57 possibly forward subsuming rows in 81 calls.
% 0.19/0.56  ;  Retrieved 21 possibly backward subsumed rows in 67 calls.
% 0.19/0.56  ; Path-index has 261 entries (262 at peak, 265 added, 4 deleted).
% 0.19/0.56  ; Path-index has 323 nodes (323 at peak, 323 added, 0 deleted).
% 0.19/0.56  ; Trie-index has 261 entries (262 at peak, 265 added, 4 deleted).
% 0.19/0.56  ; Trie-index has 490 nodes (491 at peak, 494 added, 4 deleted).
% 0.19/0.56  ; Retrieved 369 generalization terms in 949 calls.
% 0.19/0.56  ; Retrieved 93 instance terms in 93 calls.
% 0.19/0.56  ; Retrieved 19,016 unifiable terms in 1,571 calls.
% 0.19/0.56  ; 
% 0.19/0.56  ; The agenda of input rows to give has 24 entries:
% 0.19/0.56  ;     3 with value 20              3 with value 24               1 with value 28
% 0.19/0.56  ;     3 with value 21              2 with value 25               2 with value 30
% 0.19/0.56  ;     2 with value 22              4 with value 26               1 with value 31
% 0.19/0.56  ;     2 with value 23              1 with value 27
% 0.19/0.56  ; The agenda of rows to give has 98 entries:
% 0.19/0.56  ;     6 with value (4 5)          40 with value (4 8)            9 with value (4 10)
% 0.19/0.56  ;    26 with value (4 7)          11 with value (4 9)            6 with value (4 12)
% 0.19/0.56  Evaluation took:
% 0.19/0.56    0.085 seconds of real time
% 0.19/0.56    0.076931 seconds of user run time
% 0.19/0.56    0.008227 seconds of system run time
% 0.19/0.56    0 calls to %EVAL
% 0.19/0.56    0 page faults and
% 0.19/0.56    4,077,904 bytes consed.
% 0.19/0.56  :PROOF-FOUND
% 0.19/0.56  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-07T10:14:05
% 0.19/0.56  :PROOF-FOUND
% 0.19/0.56  * 
%------------------------------------------------------------------------------