TSTP Solution File: NUM423+3 by SNARK---20120808r022

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%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : NUM423+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n006.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 14:10:23 EDT 2022

% Result   : Theorem 0.19s 0.51s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    6
% Syntax   : Number of clauses     :   10 (   6 unt;   0 nHn;  10 RR)
%            Number of literals    :   14 (   6 equ;   6 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   3 con; 0-2 aty)
%            Number of variables   :    4 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(1,axiom,
    aInteger0(sz00),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mIntZero) ).

cnf(10,axiom,
    ( ~ aInteger0(X)
    | sdtpldt0(X,smndt0(X)) = sz00 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mAddNeg) ).

cnf(18,axiom,
    ( ~ aInteger0(X)
    | sdtasdt0(X,sz00) = sz00 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMulZero) ).

cnf(30,hypothesis,
    aInteger0(xa),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__671) ).

cnf(31,hypothesis,
    aInteger0(xq),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__671) ).

cnf(33,negated_conjecture,
    ( ~ aInteger0(X)
    | sdtasdt0(xq,X) != sdtpldt0(xa,smndt0(xa)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).

cnf(54,plain,
    sdtasdt0(xq,sz00) = sz00,
    inference('HYPERRESOLVE',[status(thm)],[18,31]) ).

cnf(77,plain,
    sdtpldt0(xa,smndt0(xa)) = sz00,
    inference('HYPERRESOLVE',[status(thm)],[10,30]) ).

cnf(78,plain,
    ( ~ aInteger0(X)
    | sdtasdt0(xq,X) != sz00 ),
    inference('REWRITE',[status(thm)],[33,77,theory(equality)]) ).

cnf(84,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[78,1]),54,theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : NUM423+3 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.13  % Command  : run-snark %s %d
% 0.13/0.33  % Computer : n006.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % 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 18:34:52 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  * 
% 0.19/0.46  #<PACKAGE "SNARK-USER">
% 0.19/0.46  * 
% 0.19/0.46  SNARK-TPTP-OPTIONS
% 0.19/0.46  * 
% 0.19/0.46  ((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 2022-07-05T18:34:52
% 0.19/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n006.cluster.edu at 2022-07-05T18:34:52
% 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  ;       173 formulas have been input or derived (from 22 formulas).
% 0.19/0.51  ;        84 (49%) were retained.  Of these,
% 0.19/0.51  ;            2 ( 2%) were simplified or subsumed later,
% 0.19/0.51  ;           82 (98%) 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  ;     0.001   2%   Assert                       (21 calls)
% 0.19/0.51  ;     0.005  11%   Process new row              (173 calls)
% 0.19/0.51  ;     0.003   7%   Resolution                   (42 calls)
% 0.19/0.51  ;     0.000   0%   Paramodulation               (21 calls)
% 0.19/0.51  ;     0.001   2%   Condensing                   (29 calls)
% 0.19/0.51  ;     0.001   2%   Forward subsumption          (29 calls)
% 0.19/0.51  ;     0.001   2%   Backward subsumption         (29 calls)
% 0.19/0.51  ;     0.000   0%   Clause clause subsumption    (21 calls)
% 0.19/0.51  ;     0.001   2%   Forward simplification       (173 calls)
% 0.19/0.51  ;     0.000   0%   Backward simplification      (84 calls)
% 0.19/0.51  ;     0.000   0%   Ordering                     (30 calls)
% 0.19/0.51  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.19/0.51  ;     0.000   0%   Purity testing               (1 call)
% 0.19/0.51  ;     0.026  59%   Other
% 0.19/0.51  ;     0.044        Total
% 0.19/0.51  ;     0.045        Real time
% 0.19/0.51  ; 
% 0.19/0.51  ; Term-hash-array has 159 terms in all.
% 0.19/0.51  ; Feature-vector-row-index has 28 entries (28 at peak, 29 added, 1 deleted).
% 0.19/0.51  ; Feature-vector-row-index has 86 nodes (91 at peak, 96 added, 10 deleted).
% 0.19/0.51  ;  Retrieved 13 possibly forward subsuming rows in 29 calls.
% 0.19/0.51  ;  Retrieved 8 possibly backward subsumed rows in 29 calls.
% 0.19/0.51  ; Path-index has 161 entries (161 at peak, 164 added, 3 deleted).
% 0.19/0.51  ; Path-index has 254 nodes (254 at peak, 257 added, 3 deleted).
% 0.19/0.51  ; Trie-index has 161 entries (161 at peak, 164 added, 3 deleted).
% 0.19/0.51  ; Trie-index has 338 nodes (338 at peak, 349 added, 11 deleted).
% 0.19/0.51  ; Retrieved 129 generalization terms in 342 calls.
% 0.19/0.51  ; Retrieved 54 instance terms in 54 calls.
% 0.19/0.51  ; Retrieved 1,229 unifiable terms in 211 calls.
% 0.19/0.51  ; 
% 0.19/0.51  ; The agenda of input rows to give has 15 entries:
% 0.19/0.51  ;     1 with value 12              1 with value 17               1 with value 24
% 0.19/0.51  ;     3 with value 13              1 with value 21               2 with value 25
% 0.19/0.51  ;     2 with value 15              2 with value 23               2 with value 27
% 0.19/0.51  ; The agenda of rows to give has 46 entries:
% 0.19/0.51  ;     4 with value (4 5)          13 with value (4 7)            4 with value (4 10)
% 0.19/0.51  ;     4 with value (4 6)          21 with value (4 8)
% 0.19/0.51  Evaluation took:
% 0.19/0.51    0.046 seconds of real time
% 0.19/0.51    0.036751 seconds of user run time
% 0.19/0.51    0.008976 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    2,521,792 bytes consed.
% 0.19/0.51  :PROOF-FOUND
% 0.19/0.51  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-05T18:34:52
% 0.19/0.51  :PROOF-FOUND
% 0.19/0.51  * 
%------------------------------------------------------------------------------