TSTP Solution File: FLD056-3 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : FLD056-3 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n025.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 : Sat Jul 16 02:27:15 EDT 2022

% Result   : Unsatisfiable 0.19s 0.51s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    1
%            Number of leaves      :    3
% Syntax   : Number of clauses     :    4 (   3 unt;   1 nHn;   4 RR)
%            Number of literals    :    7 (   0 equ;   3 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    1 (   1 usr;   1 con; 0-0 aty)
%            Number of variables   :    2 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(totality_of_order_relation,axiom,
    ( less_or_equal(X,Y)
    | less_or_equal(Y,X)
    | ~ defined(X)
    | ~ defined(Y) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',totality_of_order_relation) ).

cnf(a_is_defined,hypothesis,
    defined(a),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_is_defined) ).

cnf(not_less_or_equal_2,negated_conjecture,
    ~ less_or_equal(a,a),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_less_or_equal_2) ).

cnf(75,plain,
    $false,
    inference('UR-RESOLVE',[status(thm)],[totality_of_order_relation,not_less_or_equal_2,not_less_or_equal_2,a_is_defined,a_is_defined]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : FLD056-3 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.06/0.12  % Command  : run-snark %s %d
% 0.12/0.33  % Computer : n025.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Mon Jun  6 22:42:18 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.19/0.45  /export/starexec/sandbox2/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)
% 0.19/0.46   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.46   (USE-FACTORING :POS)
% 0.19/0.46   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.46   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.46   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.46   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.46   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.46   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.46   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.46   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.46   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.46   (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.46  * 
% 0.19/0.46  "."
% 0.19/0.46  * 
% 0.19/0.46  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-06T22:42:18
% 0.19/0.46  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n025.cluster.edu at 2022-06-06T22:42:18
% 0.19/0.48  
% 0.19/0.48  ; Recognized possible associativity assertion (OR (|sum| ?X ?Y ?Z) (NOT (|sum| ?X ?U ?V)) (NOT (|sum| ?U ?W ?Y)) (NOT (|sum| ?V ?W ?Z))).
% 0.19/0.48  ; Recognized possible associativity assertion (OR (|sum| ?X ?Y ?Z) (NOT (|sum| ?U ?V ?X)) (NOT (|sum| ?V ?Y ?W)) (NOT (|sum| ?U ?W ?Z))).
% 0.19/0.48  ; Recognized commutativity assertion (OR (|sum| ?X ?Y ?Z) (NOT (|sum| ?Y ?X ?Z))).
% 0.19/0.48  ; Recognized possible associativity assertion (OR (|product| ?X ?Y ?Z) (NOT (|product| ?X ?U ?V)) (NOT (|product| ?U ?W ?Y)) (NOT (|product| ?V ?W ?Z))).
% 0.19/0.48  ; Recognized possible associativity assertion (OR (|product| ?X ?Y ?Z) (NOT (|product| ?U ?V ?X)) (NOT (|product| ?V ?Y ?W)) (NOT (|product| ?U ?W ?Z))).
% 0.19/0.48  ; Recognized commutativity assertion (OR (|product| ?X ?Y ?Z) (NOT (|product| ?Y ?X ?Z))).
% 0.19/0.48  ; Declaring sum to be commutative.
% 0.19/0.51  ; Declaring product to be commutative.
% 0.19/0.51  
% 0.19/0.51  #||
% 0.19/0.51  % SZS status Unsatisfiable for /export/starexec/sandbox2/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  ;       146 formulas have been input or derived (from 18 formulas).
% 0.19/0.51  ;        75 (51%) were retained.  Of these,
% 0.19/0.51  ;           75 (100%) are still being kept.
% 0.19/0.51  ; 
% 0.19/0.51  ; Run time in seconds:
% 0.19/0.51  ;     0.006  14%   Read assertion file          (1 call)
% 0.19/0.51  ;     0.002   5%   Assert                       (28 calls)
% 0.19/0.51  ;     0.005  11%   Process new row              (129 calls)
% 0.19/0.51  ;     0.004   9%   Resolution                   (34 calls)
% 0.19/0.51  ;     0.000   0%   Paramodulation               (17 calls)
% 0.19/0.51  ;     0.002   5%   Condensing                   (23 calls)
% 0.19/0.51  ;     0.000   0%   Forward subsumption          (23 calls)
% 0.19/0.51  ;     0.000   0%   Backward subsumption         (21 calls)
% 0.19/0.51  ;     0.000   0%   Clause clause subsumption    (7 calls)
% 0.19/0.51  ;     0.000   0%   Forward simplification       (129 calls)
% 0.19/0.51  ;     0.001   2%   Backward simplification      (75 calls)
% 0.19/0.51  ;     0.000   0%   Ordering                     (6 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  ;     0.024  55%   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 125 terms in all.
% 0.19/0.51  ; Feature-vector-row-index has 21 entries (21 at peak, 21 added, 0 deleted).
% 0.19/0.51  ; Feature-vector-row-index has 63 nodes (63 at peak, 63 added, 0 deleted).
% 0.19/0.51  ;  Retrieved 7 possibly forward subsuming rows in 23 calls.
% 0.19/0.51  ;  Retrieved 0 possibly backward subsumed rows in 21 calls.
% 0.19/0.51  ; Path-index has 128 entries (128 at peak, 128 added, 0 deleted).
% 0.19/0.51  ; Path-index has 130 nodes (130 at peak, 130 added, 0 deleted).
% 0.19/0.51  ; Trie-index has 128 entries (128 at peak, 128 added, 0 deleted).
% 0.19/0.51  ; Trie-index has 210 nodes (210 at peak, 210 added, 0 deleted).
% 0.19/0.51  ; Retrieved 50 generalization terms in 117 calls.
% 0.19/0.51  ; Retrieved 54 instance terms in 53 calls.
% 0.19/0.51  ; Retrieved 1,159 unifiable terms in 103 calls.
% 0.19/0.51  ; 
% 0.19/0.51  ; The agenda of rows to process has 14 entries:
% 0.19/0.51  ;     1 with value 4               7 with value 5                6 with value 9
% 0.19/0.51  ; The agenda of input rows to give has 7 entries:
% 0.19/0.51  ;     1 with value 15              1 with value 18               2 with value 25
% 0.19/0.51  ;     1 with value 17              2 with value 20
% 0.19/0.51  ; The agenda of rows to give has 50 entries:
% 0.19/0.51  ;     9 with value (4 6)           3 with value (4 8)            2 with value (4 11)
% 0.19/0.51  ;    18 with value (4 7)          18 with value (4 9)
% 0.19/0.51  Evaluation took:
% 0.19/0.51    0.045 seconds of real time
% 0.19/0.51    0.037793 seconds of user run time
% 0.19/0.51    0.007084 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    2,227,336 bytes consed.
% 0.19/0.51  :PROOF-FOUND
% 0.19/0.51  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-06T22:42:18
% 0.19/0.51  :PROOF-FOUND
% 0.19/0.51  * 
%------------------------------------------------------------------------------