TSTP Solution File: FLD010-3 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : FLD010-3 : 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 02:26:57 EDT 2022

% Result   : Unsatisfiable 0.20s 0.50s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    1
%            Number of leaves      :    4
% Syntax   : Number of clauses     :    5 (   4 unt;   1 nHn;   5 RR)
%            Number of literals    :    7 (   0 equ;   3 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :    3 (   3 usr;   2 con; 0-1 aty)
%            Number of variables   :    1 (   0 sgn)

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

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

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

cnf(not_product_2,negated_conjecture,
    ~ product(multiplicative_identity,multiplicative_inverse(multiplicative_identity),multiplicative_identity),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_product_2) ).

cnf(53,plain,
    $false,
    inference('UR-RESOLVE',[status(thm)],[existence_of_inverse_multiplication,not_product_2,not_sum_1,well_definedness_of_multiplicative_identity]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : FLD010-3 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.11/0.13  % Command  : run-snark %s %d
% 0.13/0.33  % Computer : n025.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 600
% 0.13/0.33  % DateTime : Tue Jun  7 02:01:03 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 0.20/0.45  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.46  * 
% 0.20/0.46  * 
% 0.20/0.46  #<PACKAGE "SNARK-USER">
% 0.20/0.46  * 
% 0.20/0.46  SNARK-TPTP-OPTIONS
% 0.20/0.46  * 
% 0.20/0.46  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.46   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.46   (USE-FACTORING :POS)
% 0.20/0.46   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.46   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.46   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.46   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.46   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.46   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.46   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.46   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.46   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.46   (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.46  * 
% 0.20/0.46  "."
% 0.20/0.46  * 
% 0.20/0.46  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-07T02:01:03
% 0.20/0.46  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n025.cluster.edu at 2022-06-07T02:01:03
% 0.20/0.48  
% 0.20/0.48  ; Recognized possible associativity assertion (OR (|sum| ?X ?Y ?Z) (NOT (|sum| ?X ?U ?V)) (NOT (|sum| ?U ?W ?Y)) (NOT (|sum| ?V ?W ?Z))).
% 0.20/0.48  ; Recognized possible associativity assertion (OR (|sum| ?X ?Y ?Z) (NOT (|sum| ?U ?V ?X)) (NOT (|sum| ?V ?Y ?W)) (NOT (|sum| ?U ?W ?Z))).
% 0.20/0.48  ; Recognized commutativity assertion (OR (|sum| ?X ?Y ?Z) (NOT (|sum| ?Y ?X ?Z))).
% 0.20/0.48  ; Recognized possible associativity assertion (OR (|product| ?X ?Y ?Z) (NOT (|product| ?X ?U ?V)) (NOT (|product| ?U ?W ?Y)) (NOT (|product| ?V ?W ?Z))).
% 0.20/0.48  ; Recognized possible associativity assertion (OR (|product| ?X ?Y ?Z) (NOT (|product| ?U ?V ?X)) (NOT (|product| ?V ?Y ?W)) (NOT (|product| ?U ?W ?Z))).
% 0.20/0.48  ; Recognized commutativity assertion (OR (|product| ?X ?Y ?Z) (NOT (|product| ?Y ?X ?Z))).
% 0.20/0.48  ; Declaring sum to be commutative.
% 0.20/0.50  ; Declaring product to be commutative.
% 0.20/0.50  
% 0.20/0.50  #||
% 0.20/0.50  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.50  % SZS output start Refutation
% See solution above
% 0.20/0.50  ||#
% 0.20/0.50  
% 0.20/0.50  ; Summary of computation:
% 0.20/0.50  ;        91 formulas have been input or derived (from 19 formulas).
% 0.20/0.50  ;        53 (58%) were retained.  Of these,
% 0.20/0.50  ;           53 (100%) are still being kept.
% 0.20/0.50  ; 
% 0.20/0.50  ; Run time in seconds excluding printing time:
% 0.20/0.50  ;     0.006  15%   Read assertion file          (1 call)
% 0.20/0.50  ;     0.002   5%   Assert                       (28 calls)
% 0.20/0.50  ;     0.003   8%   Process new row              (85 calls)
% 0.20/0.51  ;     0.001   2%   Resolution                   (36 calls)
% 0.20/0.51  ;     0.000   0%   Paramodulation               (18 calls)
% 0.20/0.51  ;     0.004  10%   Condensing                   (22 calls)
% 0.20/0.51  ;     0.001   2%   Forward subsumption          (22 calls)
% 0.20/0.51  ;     0.000   0%   Backward subsumption         (20 calls)
% 0.20/0.51  ;     0.000   0%   Clause clause subsumption    (7 calls)
% 0.20/0.51  ;     0.001   2%   Forward simplification       (85 calls)
% 0.20/0.51  ;     0.001   2%   Backward simplification      (53 calls)
% 0.20/0.51  ;     0.000   0%   Ordering                     (4 calls)
% 0.20/0.51  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.20/0.51  ;     0.000   0%   Purity testing               (1 call)
% 0.20/0.51  ;     0.021  52%   Other
% 0.20/0.51  ;     0.040        Total
% 0.20/0.51  ;     0.042        Real time
% 0.20/0.51  ; 
% 0.20/0.51  ; Term-hash-array has 90 terms in all.
% 0.20/0.51  ; Feature-vector-row-index has 20 entries (20 at peak, 20 added, 0 deleted).
% 0.20/0.51  ; Feature-vector-row-index has 54 nodes (54 at peak, 54 added, 0 deleted).
% 0.20/0.51  ;  Retrieved 7 possibly forward subsuming rows in 22 calls.
% 0.20/0.51  ;  Retrieved 0 possibly backward subsumed rows in 20 calls.
% 0.20/0.51  ; Path-index has 92 entries (92 at peak, 92 added, 0 deleted).
% 0.20/0.51  ; Path-index has 109 nodes (109 at peak, 109 added, 0 deleted).
% 0.20/0.51  ; Trie-index has 92 entries (92 at peak, 92 added, 0 deleted).
% 0.20/0.51  ; Trie-index has 144 nodes (144 at peak, 144 added, 0 deleted).
% 0.20/0.51  ; Retrieved 29 generalization terms in 73 calls.
% 0.20/0.51  ; Retrieved 35 instance terms in 32 calls.
% 0.20/0.51  ; Retrieved 695 unifiable terms in 93 calls.
% 0.20/0.51  ; 
% 0.20/0.51  ; The agenda of rows to process has 5 entries:
% 0.20/0.51  ;     1 with value 4               1 with value 8                2 with value 13
% 0.20/0.51  ;     1 with value 6
% 0.20/0.51  ; The agenda of input rows to give has 6 entries:
% 0.20/0.51  ;     1 with value 17              2 with value 20               2 with value 25
% 0.20/0.51  ;     1 with value 18
% 0.20/0.51  ; The agenda of rows to give has 28 entries:
% 0.20/0.51  ;     2 with value (4 5)           8 with value (4 7)            9 with value (4 9)
% 0.20/0.51  ;     7 with value (4 6)           2 with value (4 8)
% 0.20/0.51  Evaluation took:
% 0.20/0.51    0.042 seconds of real time
% 0.20/0.51    0.036736 seconds of user run time
% 0.20/0.51    0.005634 seconds of system run time
% 0.20/0.51    0 calls to %EVAL
% 0.20/0.51    0 page faults and
% 0.20/0.51    2,161,488 bytes consed.
% 0.20/0.51  :PROOF-FOUND
% 0.20/0.51  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-07T02:01:04
% 0.20/0.51  :PROOF-FOUND
% 0.20/0.51  * 
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