TSTP Solution File: FLD006-3 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : FLD006-3 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n019.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 02:26:56 EDT 2022

% Result   : Unsatisfiable 0.21s 0.52s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    1
%            Number of leaves      :    3
% Syntax   : Number of clauses     :    4 (   3 unt;   0 nHn;   4 RR)
%            Number of literals    :    5 (   0 equ;   2 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :    2 (   2 usr;   1 con; 0-1 aty)
%            Number of variables   :    1 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(existence_of_inverse_addition,axiom,
    ( sum(additive_inverse(X),X,additive_identity)
    | ~ defined(X) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',existence_of_inverse_addition) ).

cnf(well_definedness_of_additive_identity,axiom,
    defined(additive_identity),
    file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',well_definedness_of_additive_identity) ).

cnf(not_sum_1,negated_conjecture,
    ~ sum(additive_identity,additive_inverse(additive_identity),additive_identity),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_sum_1) ).

cnf(30,plain,
    $false,
    inference('UR-RESOLVE',[status(thm)],[existence_of_inverse_addition,not_sum_1,well_definedness_of_additive_identity]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : FLD006-3 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.07/0.13  % Command  : run-snark %s %d
% 0.14/0.34  % Computer : n019.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 600
% 0.14/0.34  % DateTime : Mon Jun  6 21:21:10 EDT 2022
% 0.14/0.34  % CPUTime  : 
% 0.21/0.46  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.47  * 
% 0.21/0.47  * 
% 0.21/0.48  #<PACKAGE "SNARK-USER">
% 0.21/0.48  * 
% 0.21/0.48  SNARK-TPTP-OPTIONS
% 0.21/0.48  * 
% 0.21/0.48  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.48   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.48   (USE-FACTORING :POS)
% 0.21/0.48   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.48   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.48   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.48   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.48   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.48   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.48   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.48   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.48   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.48   (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.48  * 
% 0.21/0.48  "."
% 0.21/0.48  * 
% 0.21/0.48  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-06T21:21:10
% 0.21/0.48  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n019.cluster.edu at 2022-06-06T21:21:10
% 0.21/0.50  
% 0.21/0.50  ; Recognized possible associativity assertion (OR (|sum| ?X ?Y ?Z) (NOT (|sum| ?X ?U ?V)) (NOT (|sum| ?U ?W ?Y)) (NOT (|sum| ?V ?W ?Z))).
% 0.21/0.50  ; Recognized possible associativity assertion (OR (|sum| ?X ?Y ?Z) (NOT (|sum| ?U ?V ?X)) (NOT (|sum| ?V ?Y ?W)) (NOT (|sum| ?U ?W ?Z))).
% 0.21/0.50  ; Recognized commutativity assertion (OR (|sum| ?X ?Y ?Z) (NOT (|sum| ?Y ?X ?Z))).
% 0.21/0.50  ; Recognized possible associativity assertion (OR (|product| ?X ?Y ?Z) (NOT (|product| ?X ?U ?V)) (NOT (|product| ?U ?W ?Y)) (NOT (|product| ?V ?W ?Z))).
% 0.21/0.50  ; Recognized possible associativity assertion (OR (|product| ?X ?Y ?Z) (NOT (|product| ?U ?V ?X)) (NOT (|product| ?V ?Y ?W)) (NOT (|product| ?U ?W ?Z))).
% 0.21/0.50  ; Recognized commutativity assertion (OR (|product| ?X ?Y ?Z) (NOT (|product| ?Y ?X ?Z))).
% 0.21/0.50  ; Declaring sum to be commutative.
% 0.21/0.52  ; Declaring product to be commutative.
% 0.21/0.52  
% 0.21/0.52  #||
% 0.21/0.52  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.52  % SZS output start Refutation
% See solution above
% 0.21/0.52  ||#
% 0.21/0.52  
% 0.21/0.52  ; Summary of computation:
% 0.21/0.52  ;        45 formulas have been input or derived (from 9 formulas).
% 0.21/0.52  ;        30 (67%) were retained.  Of these,
% 0.21/0.52  ;           30 (100%) are still being kept.
% 0.21/0.52  ; 
% 0.21/0.52  ; Run time in seconds:
% 0.21/0.52  ;     0.006  16%   Read assertion file          (1 call)
% 0.21/0.52  ;     0.001   3%   Assert                       (27 calls)
% 0.21/0.52  ;     0.000   0%   Process new row              (40 calls)
% 0.21/0.52  ;     0.002   5%   Resolution                   (16 calls)
% 0.21/0.52  ;     0.000   0%   Paramodulation               (8 calls)
% 0.21/0.52  ;     0.002   5%   Condensing                   (21 calls)
% 0.21/0.52  ;     0.001   3%   Forward subsumption          (21 calls)
% 0.21/0.52  ;     0.000   0%   Backward subsumption         (19 calls)
% 0.21/0.52  ;     0.001   3%   Clause clause subsumption    (7 calls)
% 0.21/0.52  ;     0.001   3%   Forward simplification       (40 calls)
% 0.21/0.52  ;     0.000   0%   Backward simplification      (30 calls)
% 0.21/0.52  ;     0.000   0%   Ordering                     (2 calls)
% 0.21/0.52  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.21/0.52  ;     0.000   0%   Purity testing               (1 call)
% 0.21/0.52  ;     0.024  63%   Other
% 0.21/0.52  ;     0.038        Total
% 0.21/0.52  ;     0.039        Real time
% 0.21/0.52  ; 
% 0.21/0.52  ; Term-hash-array has 57 terms in all.
% 0.21/0.52  ; Feature-vector-row-index has 19 entries (19 at peak, 19 added, 0 deleted).
% 0.21/0.52  ; Feature-vector-row-index has 48 nodes (48 at peak, 48 added, 0 deleted).
% 0.21/0.52  ;  Retrieved 7 possibly forward subsuming rows in 21 calls.
% 0.21/0.52  ;  Retrieved 0 possibly backward subsumed rows in 19 calls.
% 0.21/0.52  ; Path-index has 59 entries (59 at peak, 59 added, 0 deleted).
% 0.21/0.52  ; Path-index has 78 nodes (78 at peak, 78 added, 0 deleted).
% 0.21/0.52  ; Trie-index has 59 entries (59 at peak, 59 added, 0 deleted).
% 0.21/0.52  ; Trie-index has 80 nodes (80 at peak, 80 added, 0 deleted).
% 0.21/0.52  ; Retrieved 6 generalization terms in 26 calls.
% 0.21/0.52  ; Retrieved 12 instance terms in 10 calls.
% 0.21/0.52  ; Retrieved 119 unifiable terms in 31 calls.
% 0.21/0.52  ; 
% 0.21/0.52  ; The agenda of rows to process has 5 entries:
% 0.21/0.52  ;     1 with value 4               4 with value 8
% 0.21/0.52  ; The agenda of input rows to give has 15 entries:
% 0.21/0.52  ;     3 with value 12              1 with value 15               2 with value 20
% 0.21/0.52  ;     2 with value 13              1 with value 17               2 with value 25
% 0.21/0.52  ;     3 with value 14              1 with value 18
% 0.21/0.52  ; The agenda of rows to give has 6 entries:
% 0.21/0.52  ;     6 with value (4 6)
% 0.21/0.52  Evaluation took:
% 0.21/0.52    0.039 seconds of real time
% 0.21/0.52    0.034094 seconds of user run time
% 0.21/0.52    0.005133 seconds of system run time
% 0.21/0.52    0 calls to %EVAL
% 0.21/0.52    0 page faults and
% 0.21/0.52    1,952,640 bytes consed.
% 0.21/0.52  :PROOF-FOUND
% 0.21/0.52  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-06T21:21:10
% 0.21/0.52  :PROOF-FOUND
% 0.21/0.52  * 
%------------------------------------------------------------------------------