TSTP Solution File: GRP152-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : GRP152-1 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n007.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 11:37:09 EDT 2022

% Result   : Unsatisfiable 0.19s 0.49s
% Output   : Refutation 0.19s
% 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 (   1 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   2 con; 0-2 aty)
%            Number of variables   :    1 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(idempotence_of_lub,axiom,
    least_upper_bound(X,X) = X,
    file('/export/starexec/sandbox/benchmark/Axioms/GRP004-2.ax',idempotence_of_lub) ).

cnf(prove_ax_lub3a,negated_conjecture,
    least_upper_bound(b,least_upper_bound(a,b)) != least_upper_bound(a,b),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_ax_lub3a) ).

cnf(17,plain,
    $false,
    inference('REWRITE',[status(thm)],[prove_ax_lub3a,idempotence_of_lub,theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : GRP152-1 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.11/0.13  % Command  : run-snark %s %d
% 0.13/0.34  % Computer : n007.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Mon Jun 13 09:52:09 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.19/0.45  /export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p 2022-06-13T09:52:09
% 0.19/0.46  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n007.cluster.edu at 2022-06-13T09:52:09
% 0.19/0.48  
% 0.19/0.48  ; Recognized left identity assertion (= (|multiply| |identity| ?X) ?X).
% 0.19/0.48  ; Recognized possible left inverse assertion (= (|multiply| (|inverse| ?X) ?X) |identity|).
% 0.19/0.48  ; Recognized associativity assertion (= (|multiply| (|multiply| ?X ?Y) ?Z) (|multiply| ?X (|multiply| ?Y ?Z))).
% 0.19/0.48  ; Recognized commutativity assertion (= (|greatest_lower_bound| ?X ?Y) (|greatest_lower_bound| ?Y ?X)).
% 0.19/0.48  ; Recognized commutativity assertion (= (|least_upper_bound| ?X ?Y) (|least_upper_bound| ?Y ?X)).
% 0.19/0.48  ; Recognized associativity assertion (= (|greatest_lower_bound| ?X (|greatest_lower_bound| ?Y ?Z)) (|greatest_lower_bound| (|greatest_lower_bound| ?X ?Y) ?Z)).
% 0.19/0.48  ; Recognized associativity assertion (= (|least_upper_bound| ?X (|least_upper_bound| ?Y ?Z)) (|least_upper_bound| (|least_upper_bound| ?X ?Y) ?Z)).
% 0.19/0.48  ; Declaring greatest_lower_bound to be commutative.
% 0.19/0.48  ; Declaring greatest_lower_bound to be associative-commutative.
% 0.19/0.48  ; Declaring least_upper_bound to be commutative.
% 0.19/0.49  ; Declaring least_upper_bound to be associative-commutative.
% 0.19/0.49  
% 0.19/0.49  #||
% 0.19/0.49  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.49  % SZS output start Refutation
% See solution above
% 0.19/0.49  ||#
% 0.19/0.49  
% 0.19/0.49  ; Summary of computation:
% 0.19/0.49  ;        21 formulas have been input or derived (from 1 formulas).
% 0.19/0.49  ;        17 (81%) were retained.  Of these,
% 0.19/0.49  ;            1 ( 6%) were simplified or subsumed later,
% 0.19/0.49  ;           16 (94%) are still being kept.
% 0.19/0.49  ; 
% 0.19/0.49  ; Run time in seconds excluding printing time:
% 0.19/0.49  ;     0.004  14%   Read assertion file          (1 call)
% 0.19/0.49  ;     0.001   4%   Assert                       (16 calls)
% 0.19/0.49  ;     0.001   4%   Process new row              (20 calls)
% 0.19/0.49  ;     0.000   0%   Embedding                    (8 calls)
% 0.19/0.49  ;     0.001   4%   Forward simplification       (16 calls)
% 0.19/0.49  ;     0.001   4%   Backward simplification      (12 calls)
% 0.19/0.49  ;     0.000   0%   Ordering                     (22 calls)
% 0.19/0.49  ;     0.001   4%   Sortal reasoning             (32 calls)
% 0.19/0.49  ;     0.000   0%   Purity testing               (1 call)
% 0.19/0.49  ;     0.019  68%   Other
% 0.19/0.49  ;     0.028        Total
% 0.19/0.49  ;     0.030        Real time
% 0.19/0.49  ; 
% 0.19/0.49  ; Term-hash-array has 45 terms in all.
% 0.19/0.49  ; Feature-vector-row-index has 0 entries (0 at peak, 0 added, 0 deleted).
% 0.19/0.49  ; Feature-vector-row-index has 1 node (1 at peak, 1 added, 0 deleted).
% 0.19/0.49  ; Path-index has 48 entries (48 at peak, 48 added, 0 deleted).
% 0.19/0.49  ; Path-index has 97 nodes (97 at peak, 97 added, 0 deleted).
% 0.19/0.49  ; Trie-index has 48 entries (48 at peak, 48 added, 0 deleted).
% 0.19/0.49  ; Trie-index has 64 nodes (64 at peak, 64 added, 0 deleted).
% 0.19/0.49  ; Retrieved 27 generalization terms in 40 calls.
% 0.19/0.49  ; Retrieved 13 instance terms in 13 calls.
% 0.19/0.49  ; 
% 0.19/0.49  ; The agenda of input rows to give has 15 entries:
% 0.19/0.49  ;     5 with value 7               4 with value 10               4 with value 16
% 0.19/0.49  ;     1 with value 9               1 with value 14
% 0.19/0.49  Evaluation took:
% 0.19/0.49    0.03 seconds of real time
% 0.19/0.49    0.023128 seconds of user run time
% 0.19/0.49    0.006942 seconds of system run time
% 0.19/0.49    0 calls to %EVAL
% 0.19/0.49    0 page faults and
% 0.19/0.49    1,432,632 bytes consed.
% 0.19/0.49  :PROOF-FOUND
% 0.19/0.49  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-13T09:52:09
% 0.19/0.49  :PROOF-FOUND
% 0.19/0.49  * 
%------------------------------------------------------------------------------