TSTP Solution File: NUM472+2 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : NUM472+2 : 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 14:10:51 EDT 2022

% Result   : Theorem 0.20s 0.53s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    4
% Syntax   : Number of clauses     :    8 (   6 unt;   0 nHn;   8 RR)
%            Number of literals    :   10 (   6 equ;   4 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   5 con; 0-2 aty)
%            Number of variables   :    2 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(52,hypothesis,
    aNaturalNumber0(xn),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1324) ).

cnf(57,hypothesis,
    sdtpldt0(xm,xn) = sdtasdt0(xl,'SKOLEMAAAV4'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1324_04) ).

cnf(65,hypothesis,
    sdtpldt0(xm,xn) = sdtasdt0(xl,xq),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1379) ).

cnf(66,plain,
    sdtasdt0(xl,'SKOLEMAAAV4') = sdtasdt0(xl,xq),
    inference('REWRITE',[status(thm)],[65,57,theory(equality)]) ).

cnf(68,negated_conjecture,
    ( ~ aNaturalNumber0(X)
    | sdtpldt0(xm,X) != sdtpldt0(xm,xn) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).

cnf(70,plain,
    sdtpldt0(xm,xn) = sdtasdt0(xl,xq),
    inference('REWRITE',[status(thm)],[57,66,theory(equality)]) ).

cnf(72,plain,
    ( ~ aNaturalNumber0(X)
    | sdtpldt0(xm,X) != sdtasdt0(xl,xq) ),
    inference('REWRITE',[status(thm)],[68,70,theory(equality)]) ).

cnf(242,plain,
    $false,
    inference('HYPERRESOLVE',[status(thm)],[72,52,70]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : NUM472+2 : TPTP v8.1.0. Released v4.0.0.
% 0.14/0.13  % Command  : run-snark %s %d
% 0.14/0.33  % Computer : n015.cluster.edu
% 0.14/0.33  % Model    : x86_64 x86_64
% 0.14/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33  % Memory   : 8042.1875MB
% 0.14/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33  % CPULimit : 300
% 0.14/0.33  % WCLimit  : 600
% 0.14/0.33  % DateTime : Thu Jul  7 16:18:50 EDT 2022
% 0.14/0.34  % CPUTime  : 
% 0.20/0.44  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.45  * 
% 0.20/0.45  * 
% 0.20/0.46  #<PACKAGE "SNARK-USER">
% 0.20/0.46  * 
% 0.20/0.46  SNARK-TPTP-OPTIONS
% 0.20/0.46  * 
% 0.20/0.46  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.46   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.46   (USE-FACTORING :POS)
% 0.20/0.46   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.46   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.46   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.46   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.46   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.46   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.46   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.46   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.46   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.46   (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.46  * 
% 0.20/0.46  "."
% 0.20/0.46  * 
% 0.20/0.46  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-07T16:18:50
% 0.20/0.46  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n015.cluster.edu at 2022-07-07T16:18:50
% 0.20/0.48  WARNING:
% 0.20/0.48     |iLess0| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 0.20/0.53  
% 0.20/0.53  
% 0.20/0.53  #||
% 0.20/0.53  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.54  % SZS output start Refutation
% See solution above
% 0.20/0.54  ||#
% 0.20/0.54  
% 0.20/0.54  ; Summary of computation:
% 0.20/0.54  ;       548 formulas have been input or derived (from 31 formulas).
% 0.20/0.54  ;       242 (44%) were retained.  Of these,
% 0.20/0.54  ;            7 ( 3%) were simplified or subsumed later,
% 0.20/0.54  ;          235 (97%) are still being kept.
% 0.20/0.54  ; 
% 0.20/0.54  ; Run time in seconds excluding printing time:
% 0.20/0.54  ;     0.011  15%   Read assertion file          (1 call)
% 0.20/0.54  ;     0.002   3%   Assert                       (39 calls)
% 0.20/0.54  ;     0.021  28%   Process new row              (534 calls)
% 0.20/0.54  ;     0.005   7%   Resolution                   (60 calls)
% 0.20/0.54  ;     0.002   3%   Paramodulation               (30 calls)
% 0.20/0.54  ;     0.001   1%   Condensing                   (52 calls)
% 0.20/0.54  ;     0.001   1%   Forward subsumption          (52 calls)
% 0.20/0.54  ;     0.000   0%   Backward subsumption         (48 calls)
% 0.20/0.54  ;     0.000   0%   Clause clause subsumption    (48 calls)
% 0.20/0.54  ;     0.006   8%   Forward simplification       (533 calls)
% 0.20/0.54  ;     0.000   0%   Backward simplification      (240 calls)
% 0.20/0.54  ;     0.001   1%   Ordering                     (88 calls)
% 0.20/0.54  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.20/0.54  ;     0.000   0%   Purity testing               (1 call)
% 0.20/0.54  ;     0.025  33%   Other
% 0.20/0.54  ;     0.075        Total
% 0.20/0.54  ;     0.078        Real time
% 0.20/0.54  ; 
% 0.20/0.54  ; Term-hash-array has 441 terms in all.
% 0.20/0.54  ; Feature-vector-row-index has 47 entries (47 at peak, 48 added, 1 deleted).
% 0.20/0.54  ; Feature-vector-row-index has 133 nodes (133 at peak, 141 added, 8 deleted).
% 0.20/0.54  ;  Retrieved 37 possibly forward subsuming rows in 52 calls.
% 0.20/0.54  ;  Retrieved 13 possibly backward subsumed rows in 48 calls.
% 0.20/0.54  ; Path-index has 444 entries (444 at peak, 452 added, 8 deleted).
% 0.20/0.54  ; Path-index has 386 nodes (386 at peak, 400 added, 14 deleted).
% 0.20/0.54  ; Trie-index has 444 entries (444 at peak, 452 added, 8 deleted).
% 0.20/0.54  ; Trie-index has 699 nodes (699 at peak, 728 added, 29 deleted).
% 0.20/0.54  ; Retrieved 391 generalization terms in 1,116 calls.
% 0.20/0.54  ; Retrieved 191 instance terms in 191 calls.
% 0.20/0.54  ; Retrieved 3,968 unifiable terms in 453 calls.
% 0.20/0.54  ; 
% 0.20/0.54  ; The agenda of rows to process has 11 entries:
% 0.20/0.54  ;     1 with value 4               9 with value 10               1 with value 13
% 0.20/0.54  ; The agenda of input rows to give has 37 entries:
% 0.20/0.54  ;     2 with value 14              3 with value 21               4 with value 26
% 0.20/0.54  ;     3 with value 15              2 with value 22               1 with value 27
% 0.20/0.54  ;     2 with value 16              2 with value 23               1 with value 28
% 0.20/0.54  ;     3 with value 17              3 with value 24               2 with value 30
% 0.20/0.54  ;     1 with value 18              2 with value 25               1 with value 31
% 0.20/0.54  ;     5 with value 20
% 0.20/0.54  ; The agenda of rows to give has 167 entries:
% 0.20/0.54  ;     9 with value (4 5)         109 with value (4 7)           49 with value (4 8)
% 0.20/0.54  Evaluation took:
% 0.20/0.54    0.078 seconds of real time
% 0.20/0.54    0.070054 seconds of user run time
% 0.20/0.54    0.008286 seconds of system run time
% 0.20/0.54    0 calls to %EVAL
% 0.20/0.54    0 page faults and
% 0.20/0.54    3,951,120 bytes consed.
% 0.20/0.54  :PROOF-FOUND
% 0.20/0.54  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-07T16:18:50
% 0.20/0.54  :PROOF-FOUND
% 0.20/0.54  * 
%------------------------------------------------------------------------------