TSTP Solution File: NUM550+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : NUM550+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n018.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 14:11:35 EDT 2022

% Result   : Theorem 0.19s 0.54s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    6
% Syntax   : Number of clauses     :    8 (   7 unt;   0 nHn;   8 RR)
%            Number of literals    :    9 (   6 equ;   2 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    :    7 (   7 usr;   5 con; 0-1 aty)
%            Number of variables   :    1 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(42,axiom,
    aElementOf0(sz00,szNzAzT0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mZeroNum) ).

cnf(85,axiom,
    slbdtrb0(sz00) = slcrc0,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSegZero) ).

cnf(93,axiom,
    ( ~ aElementOf0(X,szNzAzT0)
    | sbrdtbr0(slbdtrb0(X)) = X ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mCardSeg) ).

cnf(107,hypothesis,
    xk != sz00,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2202_02) ).

cnf(114,hypothesis,
    sbrdtbr0(xQ) = xk,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2291) ).

cnf(115,negated_conjecture,
    xQ = slcrc0,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).

cnf(118,plain,
    sbrdtbr0(slcrc0) = xk,
    inference('REWRITE',[status(thm)],[114,115,theory(equality)]) ).

cnf(147,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[93,42]),107,118,85,theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : NUM550+1 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13  % Command  : run-snark %s %d
% 0.13/0.34  % Computer : n018.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 19:45:37 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 2022-07-05T19:45:37
% 0.19/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n018.cluster.edu at 2022-07-05T19:45:37
% 0.19/0.50  WARNING:
% 0.19/0.50     |iLess0| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 0.19/0.54  
% 0.19/0.54  
% 0.19/0.54  #||
% 0.19/0.54  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.54  % SZS output start Refutation
% See solution above
% 0.19/0.54  ||#
% 0.19/0.54  
% 0.19/0.54  ; Summary of computation:
% 0.19/0.54  ;       195 formulas have been input or derived (from 36 formulas).
% 0.19/0.54  ;       147 (75%) were retained.  Of these,
% 0.19/0.54  ;            4 ( 3%) were simplified or subsumed later,
% 0.19/0.54  ;          143 (97%) are still being kept.
% 0.19/0.54  ; 
% 0.19/0.54  ; Run time in seconds:
% 0.19/0.54  ;     0.015  21%   Read assertion file          (1 call)
% 0.19/0.54  ;     0.003   4%   Assert                       (67 calls)
% 0.19/0.54  ;     0.012  17%   Process new row              (189 calls)
% 0.19/0.54  ;     0.004   6%   Resolution                   (70 calls)
% 0.19/0.54  ;     0.000   0%   Paramodulation               (35 calls)
% 0.19/0.54  ;     0.004   6%   Condensing                   (98 calls)
% 0.19/0.54  ;     0.002   3%   Forward subsumption          (98 calls)
% 0.19/0.54  ;     0.000   0%   Backward subsumption         (98 calls)
% 0.19/0.54  ;     0.000   0%   Clause clause subsumption    (29 calls)
% 0.19/0.54  ;     0.002   3%   Forward simplification       (188 calls)
% 0.19/0.54  ;     0.001   1%   Backward simplification      (147 calls)
% 0.19/0.54  ;     0.000   0%   Ordering                     (18 calls)
% 0.19/0.54  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.19/0.54  ;     0.001   1%   Purity testing               (1 call)
% 0.19/0.54  ;     0.027  38%   Other
% 0.19/0.54  ;     0.071        Total
% 0.19/0.54  ;     0.072        Real time
% 0.19/0.54  ; 
% 0.19/0.54  ; Term-hash-array has 206 terms in all.
% 0.19/0.54  ; Feature-vector-row-index has 98 entries (98 at peak, 98 added, 0 deleted).
% 0.19/0.54  ; Feature-vector-row-index has 435 nodes (435 at peak, 435 added, 0 deleted).
% 0.19/0.54  ;  Retrieved 37 possibly forward subsuming rows in 98 calls.
% 0.19/0.54  ;  Retrieved 11 possibly backward subsumed rows in 98 calls.
% 0.19/0.54  ; Path-index has 209 entries (209 at peak, 214 added, 5 deleted).
% 0.19/0.54  ; Path-index has 464 nodes (464 at peak, 471 added, 7 deleted).
% 0.19/0.54  ; Trie-index has 209 entries (209 at peak, 214 added, 5 deleted).
% 0.19/0.54  ; Trie-index has 421 nodes (421 at peak, 430 added, 9 deleted).
% 0.19/0.54  ; Retrieved 50 generalization terms in 261 calls.
% 0.19/0.54  ; Retrieved 48 instance terms in 48 calls.
% 0.19/0.54  ; Retrieved 2,215 unifiable terms in 283 calls.
% 0.19/0.54  ; 
% 0.19/0.54  ; The agenda of rows to process has 3 entries:
% 0.19/0.54  ;     3 with value 9
% 0.19/0.54  ; The agenda of input rows to give has 79 entries:
% 0.19/0.54  ;     6 with value 13              4 with value 22               2 with value 32
% 0.19/0.54  ;     1 with value 14              1 with value 23               1 with value 33
% 0.19/0.54  ;     6 with value 15              6 with value 24               2 with value 35
% 0.19/0.54  ;     4 with value 16              5 with value 25               1 with value 36
% 0.19/0.54  ;     6 with value 17              1 with value 26               2 with value 39
% 0.19/0.54  ;     4 with value 18              1 with value 27               1 with value 40
% 0.19/0.54  ;     5 with value 19              4 with value 28               1 with value 43
% 0.19/0.54  ;     7 with value 20              1 with value 29               1 with value 47
% 0.19/0.54  ;     4 with value 21              2 with value 31
% 0.19/0.54  ; The agenda of rows to give has 28 entries:
% 0.19/0.54  ;     5 with value (4 4)           4 with value (4 6)            9 with value (4 7)
% 0.19/0.54  ;    10 with value (4 5)
% 0.19/0.54  Evaluation took:
% 0.19/0.54    0.072 seconds of real time
% 0.19/0.54    0.064117 seconds of user run time
% 0.19/0.54    0.007903 seconds of system run time
% 0.19/0.54    0 calls to %EVAL
% 0.19/0.54    0 page faults and
% 0.19/0.54    3,492,136 bytes consed.
% 0.19/0.54  :PROOF-FOUND
% 0.19/0.54  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-05T19:45:37
% 0.19/0.54  :PROOF-FOUND
% 0.19/0.54  * 
%------------------------------------------------------------------------------