TSTP Solution File: RNG010-2 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : RNG010-2 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n022.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 20:40:33 EDT 2022

% Result   : Unsatisfiable 0.38s 0.57s
% Output   : Refutation 0.38s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    1
%            Number of leaves      :    2
% Syntax   : Number of clauses     :    3 (   3 unt;   0 nHn;   2 RR)
%            Number of literals    :    3 (   2 equ;   1 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :    3 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    1 (   1 usr;   0 con; 2-2 aty)
%            Number of variables   :    4 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(right_alternative,axiom,
    multiply(multiply(X,Y),Y) = multiply(X,multiply(Y,Y)),
    file('/export/starexec/sandbox/benchmark/Axioms/RNG004-0.ax',right_alternative) ).

cnf(middle_law,axiom,
    multiply(multiply(X,Y),X) != multiply(X,multiply(Y,X)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',middle_law) ).

cnf(56,plain,
    $false,
    inference('HYPERRESOLVE',[status(thm)],[middle_law,right_alternative]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem  : RNG010-2 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.04/0.12  % Command  : run-snark %s %d
% 0.12/0.33  % Computer : n022.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 May 30 07:07:07 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.44  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.45  * 
% 0.18/0.45  * 
% 0.18/0.46  #<PACKAGE "SNARK-USER">
% 0.18/0.46  * 
% 0.18/0.46  SNARK-TPTP-OPTIONS
% 0.18/0.46  * 
% 0.18/0.46  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.18/0.46   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.18/0.46   (USE-FACTORING :POS)
% 0.18/0.46   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.18/0.46   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.18/0.46   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.18/0.46   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.18/0.46   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.18/0.46   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.18/0.46   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.18/0.46   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.18/0.46   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.18/0.46   (DECLARE-TPTP-SYMBOLS2))
% 0.18/0.46  * 
% 0.18/0.46  "."
% 0.18/0.46  * 
% 0.18/0.46  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-05-30T07:07:08
% 0.18/0.46  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n022.cluster.edu at 2022-05-30T07:07:08
% 0.18/0.48  
% 0.18/0.48  ; Recognized left identity assertion (= (|add| |additive_identity| ?X) ?X).
% 0.18/0.48  ; Recognized possible left inverse assertion (= (|add| (|additive_inverse| ?X) ?X) |additive_identity|).
% 0.18/0.48  ; Recognized commutativity assertion (= (|add| ?X ?Y) (|add| ?Y ?X)).
% 0.18/0.48  ; Recognized associativity assertion (= (|add| ?X (|add| ?Y ?Z)) (|add| (|add| ?X ?Y) ?Z)).
% 0.18/0.48  ; Declaring add to be commutative.
% 0.38/0.57  ; Declaring add to be associative-commutative.
% 0.38/0.57  
% 0.38/0.57  #||
% 0.38/0.57  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.38/0.57  % SZS output start Refutation
% See solution above
% 0.38/0.57  ||#
% 0.38/0.57  
% 0.38/0.57  ; Summary of computation:
% 0.38/0.57  ;       514 formulas have been input or derived (from 16 formulas).
% 0.38/0.57  ;        56 (11%) were retained.  Of these,
% 0.38/0.57  ;            4 ( 7%) were simplified or subsumed later,
% 0.38/0.57  ;           52 (93%) are still being kept.
% 0.38/0.57  ; 
% 0.38/0.57  ; Run time in seconds excluding printing time:
% 0.38/0.57  ;     0.005   5%   Read assertion file          (1 call)
% 0.38/0.57  ;     0.001   1%   Assert                       (24 calls)
% 0.38/0.57  ;     0.007   6%   Process new row              (443 calls)
% 0.38/0.57  ;     0.006   6%   Resolution                   (30 calls)
% 0.38/0.57  ;     0.007   6%   Paramodulation               (15 calls)
% 0.38/0.57  ;     0.000   0%   Embedding                    (8 calls)
% 0.38/0.57  ;     0.006   6%   Condensing                   (70 calls)
% 0.38/0.57  ;     0.003   3%   Forward subsumption          (70 calls)
% 0.38/0.57  ;     0.000   0%   Backward subsumption         (14 calls)
% 0.38/0.57  ;     0.005   5%   Clause clause subsumption    (100 calls)
% 0.38/0.57  ;     0.031  28%   Forward simplification       (439 calls)
% 0.38/0.57  ;     0.000   0%   Backward simplification      (49 calls)
% 0.38/0.57  ;     0.005   5%   Ordering                     (1,068 calls)
% 0.38/0.57  ;     0.007   6%   Ordering ac                  (664 calls)
% 0.38/0.57  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.38/0.57  ;     0.000   0%   Purity testing               (1 call)
% 0.38/0.57  ;     0.026  24%   Other
% 0.38/0.57  ;     0.109        Total
% 0.38/0.57  ;     0.110        Real time
% 0.38/0.57  ; 
% 0.38/0.57  ; Term-hash-array has 182 terms in all.
% 0.38/0.57  ; Feature-vector-row-index has 14 entries (14 at peak, 14 added, 0 deleted).
% 0.38/0.57  ; Feature-vector-row-index has 55 nodes (55 at peak, 55 added, 0 deleted).
% 0.38/0.57  ;  Retrieved 178 possibly forward subsuming rows in 70 calls.
% 0.38/0.57  ;  Retrieved 0 possibly backward subsumed rows in 14 calls.
% 0.38/0.57  ; Path-index has 183 entries (183 at peak, 203 added, 20 deleted).
% 0.38/0.57  ; Path-index has 410 nodes (410 at peak, 491 added, 81 deleted).
% 0.38/0.57  ; Trie-index has 183 entries (183 at peak, 203 added, 20 deleted).
% 0.38/0.57  ; Trie-index has 303 nodes (303 at peak, 343 added, 40 deleted).
% 0.38/0.57  ; Retrieved 6,032 generalization terms in 3,166 calls.
% 0.38/0.57  ; Retrieved 120 instance terms in 58 calls.
% 0.38/0.57  ; Retrieved 842 unifiable terms in 273 calls.
% 0.38/0.57  ; 
% 0.38/0.57  ; The agenda of rows to process has 26 entries:
% 0.38/0.57  ;     2 with value 11              2 with value 18               4 with value 24
% 0.38/0.57  ;     4 with value 13              7 with value 20               2 with value 25
% 0.38/0.57  ;     3 with value 15              2 with value 21
% 0.38/0.57  ; The agenda of input rows to give has 8 entries:
% 0.38/0.57  ;     2 with value 16              1 with value 22               1 with value 57
% 0.38/0.57  ;     2 with value 19              2 with value 32
% 0.38/0.57  ; The agenda of rows to give has 28 entries:
% 0.38/0.57  ;     1 with value (4 12)          2 with value (4 17)           2 with value (4 21)
% 0.38/0.57  ;     4 with value (4 14)          2 with value (4 18)           5 with value (4 24)
% 0.38/0.57  ;     2 with value (4 15)          1 with value (4 19)           1 with value (4 25)
% 0.38/0.57  ;     2 with value (4 16)          5 with value (4 20)           1 with value (4 29)
% 0.38/0.57  Evaluation took:
% 0.38/0.57    0.112 seconds of real time
% 0.38/0.57    0.099314 seconds of user run time
% 0.38/0.57    0.011725 seconds of system run time
% 0.38/0.57    0 calls to %EVAL
% 0.38/0.57    0 page faults and
% 0.38/0.57    5,707,920 bytes consed.
% 0.38/0.57  :PROOF-FOUND
% 0.38/0.57  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-05-30T07:07:08
% 0.38/0.57  :PROOF-FOUND
% 0.38/0.57  * 
%------------------------------------------------------------------------------