TSTP Solution File: NUM547+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : NUM547+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n020.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 14:11:34 EDT 2022

% Result   : Theorem 0.18s 0.56s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    6
% Syntax   : Number of clauses     :    8 (   6 unt;   1 nHn;   8 RR)
%            Number of literals    :   13 (   3 equ;   7 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   4 con; 0-2 aty)
%            Number of variables   :    5 (   1 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(4,axiom,
    ( X = slcrc0
    | ~ aSet0(X)
    | aElementOf0('SKOLEMAABE1'(X),X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefEmp) ).

cnf(94,axiom,
    ( ~ aSet0(X)
    | ~ aElementOf0(Y,szNzAzT0)
    | Z != slbdtsldtrb0(X,Y)
    | aSet0(Z) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefSel) ).

cnf(104,hypothesis,
    aElementOf0(xk,szNzAzT0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2202) ).

cnf(105,hypothesis,
    aSet0(xS),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2202_02) ).

cnf(109,hypothesis,
    slbdtsldtrb0(xS,xk) != slcrc0,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2227) ).

cnf(111,negated_conjecture,
    ~ aElementOf0(X,slbdtsldtrb0(xS,xk)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).

cnf(141,plain,
    ~ aSet0(slbdtsldtrb0(xS,xk)),
    inference('UR-RESOLVE',[status(thm)],[4,109,111]) ).

cnf(160,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[94,105,104,theory(equality)]),141]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11  % Problem  : NUM547+1 : TPTP v8.1.0. Released v4.0.0.
% 0.10/0.12  % Command  : run-snark %s %d
% 0.13/0.32  % Computer : n020.cluster.edu
% 0.13/0.32  % Model    : x86_64 x86_64
% 0.13/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.32  % Memory   : 8042.1875MB
% 0.13/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.32  % CPULimit : 300
% 0.13/0.32  % WCLimit  : 600
% 0.13/0.32  % DateTime : Thu Jul  7 19:54:14 EDT 2022
% 0.13/0.32  % CPUTime  : 
% 0.18/0.45  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.46  * 
% 0.18/0.46  * 
% 0.18/0.47  #<PACKAGE "SNARK-USER">
% 0.18/0.47  * 
% 0.18/0.47  SNARK-TPTP-OPTIONS
% 0.18/0.47  * 
% 0.18/0.47  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.18/0.47   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.18/0.47   (USE-FACTORING :POS)
% 0.18/0.47   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.18/0.47   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.18/0.47   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.18/0.47   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.18/0.47   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.18/0.47   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.18/0.47   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.18/0.47   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.18/0.47   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.18/0.47   (DECLARE-TPTP-SYMBOLS2))
% 0.18/0.47  * 
% 0.18/0.47  "."
% 0.18/0.47  * 
% 0.18/0.47  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-07T19:54:14
% 0.18/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n020.cluster.edu at 2022-07-07T19:54:14
% 0.18/0.51  WARNING:
% 0.18/0.51     |iLess0| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 0.18/0.56  
% 0.18/0.56  
% 0.18/0.56  #||
% 0.18/0.56  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.56  % SZS output start Refutation
% See solution above
% 0.18/0.56  ||#
% 0.18/0.56  
% 0.18/0.56  ; Summary of computation:
% 0.18/0.56  ;       216 formulas have been input or derived (from 55 formulas).
% 0.18/0.56  ;       160 (74%) were retained.  Of these,
% 0.18/0.56  ;          160 (100%) are still being kept.
% 0.18/0.56  ; 
% 0.18/0.56  ; Run time in seconds excluding printing time:
% 0.18/0.56  ;     0.020  23%   Read assertion file          (1 call)
% 0.18/0.56  ;     0.005   6%   Assert                       (65 calls)
% 0.18/0.56  ;     0.010  11%   Process new row              (204 calls)
% 0.18/0.56  ;     0.010  11%   Resolution                   (108 calls)
% 0.18/0.56  ;     0.000   0%   Paramodulation               (54 calls)
% 0.18/0.56  ;     0.002   2%   Condensing                   (106 calls)
% 0.18/0.56  ;     0.002   2%   Forward subsumption          (106 calls)
% 0.18/0.56  ;     0.003   3%   Backward subsumption         (105 calls)
% 0.18/0.56  ;     0.000   0%   Clause clause subsumption    (30 calls)
% 0.18/0.56  ;     0.003   3%   Forward simplification       (203 calls)
% 0.18/0.56  ;     0.002   2%   Backward simplification      (160 calls)
% 0.18/0.56  ;     0.000   0%   Ordering                     (29 calls)
% 0.18/0.56  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.18/0.56  ;     0.001   1%   Purity testing               (1 call)
% 0.18/0.56  ;     0.030  34%   Other
% 0.18/0.56  ;     0.088        Total
% 0.18/0.56  ;     0.091        Real time
% 0.18/0.56  ; 
% 0.18/0.56  ; Term-hash-array has 245 terms in all.
% 0.18/0.56  ; Feature-vector-row-index has 105 entries (105 at peak, 105 added, 0 deleted).
% 0.18/0.56  ; Feature-vector-row-index has 463 nodes (463 at peak, 463 added, 0 deleted).
% 0.18/0.56  ;  Retrieved 41 possibly forward subsuming rows in 106 calls.
% 0.18/0.56  ;  Retrieved 14 possibly backward subsumed rows in 105 calls.
% 0.18/0.56  ; Path-index has 252 entries (252 at peak, 252 added, 0 deleted).
% 0.18/0.56  ; Path-index has 515 nodes (515 at peak, 515 added, 0 deleted).
% 0.18/0.56  ; Trie-index has 252 entries (252 at peak, 252 added, 0 deleted).
% 0.18/0.56  ; Trie-index has 499 nodes (499 at peak, 499 added, 0 deleted).
% 0.18/0.56  ; Retrieved 53 generalization terms in 296 calls.
% 0.18/0.56  ; Retrieved 54 instance terms in 54 calls.
% 0.18/0.56  ; Retrieved 5,343 unifiable terms in 569 calls.
% 0.18/0.56  ; 
% 0.18/0.56  ; The agenda of rows to process has 8 entries:
% 0.18/0.56  ;     8 with value 7
% 0.18/0.56  ; The agenda of input rows to give has 57 entries:
% 0.18/0.56  ;     1 with value 17              5 with value 25               1 with value 33
% 0.18/0.56  ;     4 with value 18              1 with value 26               2 with value 35
% 0.18/0.56  ;     5 with value 19              1 with value 27               1 with value 36
% 0.18/0.56  ;     7 with value 20              4 with value 28               2 with value 39
% 0.18/0.56  ;     4 with value 21              1 with value 29               1 with value 40
% 0.18/0.56  ;     4 with value 22              2 with value 31               1 with value 43
% 0.18/0.56  ;     1 with value 23              2 with value 32               1 with value 47
% 0.18/0.56  ;     6 with value 24
% 0.18/0.56  ; The agenda of rows to give has 48 entries:
% 0.18/0.56  ;     5 with value (4 4)          17 with value (4 7)            4 with value (4 11)
% 0.18/0.56  ;     9 with value (4 5)           2 with value (4 9)            6 with value (4 12)
% 0.18/0.56  ;     5 with value (4 6)
% 0.18/0.56  Evaluation took:
% 0.18/0.56    0.091 seconds of real time
% 0.18/0.56    0.080292 seconds of user run time
% 0.18/0.56    0.011101 seconds of system run time
% 0.18/0.56    0 calls to %EVAL
% 0.18/0.56    0 page faults and
% 0.18/0.56    3,774,864 bytes consed.
% 0.18/0.56  :PROOF-FOUND
% 0.18/0.56  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-07T19:54:14
% 0.18/0.56  :PROOF-FOUND
% 0.18/0.56  * 
%------------------------------------------------------------------------------