TSTP Solution File: NUM395+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : NUM395+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n004.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 14:10:13 EDT 2022

% Result   : Theorem 0.18s 0.50s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    1
%            Number of leaves      :    4
% Syntax   : Number of clauses     :    5 (   4 unt;   0 nHn;   5 RR)
%            Number of literals    :    7 (   0 equ;   3 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-1 aty)
%            Number of functors    :    1 (   1 usr;   1 con; 0-0 aty)
%            Number of variables   :    1 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(9,axiom,
    ( ~ epsilon_transitive(X)
    | ~ epsilon_connected(X)
    | ordinal(X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc2_ordinal1) ).

cnf(20,negated_conjecture,
    ~ ordinal(empty_set),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t27_ordinal1) ).

cnf(21,axiom,
    epsilon_transitive(empty_set),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l18_ordinal1) ).

cnf(22,axiom,
    epsilon_connected(empty_set),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l18_ordinal1) ).

cnf(30,plain,
    $false,
    inference('UR-RESOLVE',[status(thm)],[9,21,22,20]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : NUM395+1 : TPTP v8.1.0. Released v3.2.0.
% 0.11/0.13  % Command  : run-snark %s %d
% 0.12/0.34  % Computer : n004.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Thu Jul  7 02:02:52 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.18/0.45  /export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p 2022-07-07T02:02:53
% 0.18/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n004.cluster.edu at 2022-07-07T02:02:53
% 0.18/0.49  WARNING:
% 0.18/0.49     |one_to_one| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.18/0.49  WARNING:
% 0.18/0.49     |relation_empty_yielding| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.18/0.49  WARNING:
% 0.18/0.49     |relation_non_empty| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.18/0.49  WARNING:
% 0.18/0.49     |function| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.18/0.49  WARNING:
% 0.18/0.49     |relation| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.18/0.50  
% 0.18/0.50  
% 0.18/0.50  #||
% 0.18/0.50  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.50  % SZS output start Refutation
% See solution above
% 0.18/0.50  ||#
% 0.18/0.50  
% 0.18/0.50  ; Summary of computation:
% 0.18/0.50  ;        79 formulas have been input or derived (from 21 formulas).
% 0.18/0.50  ;        30 (38%) were retained.  Of these,
% 0.18/0.50  ;            6 (20%) were simplified or subsumed later,
% 0.18/0.50  ;           24 (80%) are still being kept.
% 0.18/0.50  ; 
% 0.18/0.50  ; Run time in seconds:
% 0.18/0.51  ;     0.005  15%   Read assertion file          (1 call)
% 0.18/0.51  ;     0.001   3%   Assert                       (29 calls)
% 0.18/0.51  ;     0.001   3%   Process new row              (71 calls)
% 0.18/0.51  ;     0.000   0%   Resolution                   (40 calls)
% 0.18/0.51  ;     0.001   3%   Paramodulation               (20 calls)
% 0.18/0.51  ;     0.000   0%   Condensing                   (12 calls)
% 0.18/0.51  ;     0.001   3%   Forward subsumption          (12 calls)
% 0.18/0.51  ;     0.000   0%   Backward subsumption         (9 calls)
% 0.18/0.51  ;     0.000   0%   Clause clause subsumption    (3 calls)
% 0.18/0.51  ;     0.000   0%   Forward simplification       (45 calls)
% 0.18/0.51  ;     0.000   0%   Backward simplification      (30 calls)
% 0.18/0.51  ;     0.000   0%   Ordering                     (4 calls)
% 0.18/0.51  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.18/0.51  ;     0.001   3%   Purity testing               (1 call)
% 0.18/0.51  ;     0.024  71%   Other
% 0.18/0.51  ;     0.034        Total
% 0.18/0.51  ;     0.034        Real time
% 0.18/0.51  ; 
% 0.18/0.51  ; Term-hash-array has 31 terms in all.
% 0.18/0.51  ; Feature-vector-row-index has 9 entries (9 at peak, 9 added, 0 deleted).
% 0.18/0.51  ; Feature-vector-row-index has 19 nodes (19 at peak, 19 added, 0 deleted).
% 0.18/0.51  ;  Retrieved 3 possibly forward subsuming rows in 12 calls.
% 0.18/0.51  ;  Retrieved 0 possibly backward subsumed rows in 9 calls.
% 0.18/0.51  ; Path-index has 32 entries (36 at peak, 38 added, 6 deleted).
% 0.18/0.51  ; Path-index has 46 nodes (50 at peak, 52 added, 6 deleted).
% 0.18/0.51  ; Trie-index has 32 entries (36 at peak, 38 added, 6 deleted).
% 0.18/0.51  ; Trie-index has 47 nodes (49 at peak, 53 added, 6 deleted).
% 0.18/0.51  ; Retrieved 10 generalization terms in 31 calls.
% 0.18/0.51  ; Retrieved 20 instance terms in 20 calls.
% 0.18/0.51  ; Retrieved 112 unifiable terms in 89 calls.
% 0.18/0.51  ; 
% 0.18/0.51  ; The agenda of rows to process has 6 entries:
% 0.18/0.51  ;     6 with value 4
% 0.18/0.51  ; The agenda of input rows to give has 2 entries:
% 0.18/0.51  ;     1 with value 10              1 with value 11
% 0.18/0.51  ; The agenda of rows to give has 4 entries:
% 0.18/0.51  ;     4 with value (4 5)
% 0.18/0.51  Evaluation took:
% 0.18/0.51    0.035 seconds of real time
% 0.18/0.51    0.028794 seconds of user run time
% 0.18/0.51    0.005977 seconds of system run time
% 0.18/0.51    0 calls to %EVAL
% 0.18/0.51    0 page faults and
% 0.18/0.51    1,715,120 bytes consed.
% 0.18/0.51  :PROOF-FOUND
% 0.18/0.51  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-07T02:02:53
% 0.18/0.51  :PROOF-FOUND
% 0.18/0.51  * 
%------------------------------------------------------------------------------