TSTP Solution File: GRP137-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : GRP137-1 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n015.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 11:37:05 EDT 2022

% Result   : Unsatisfiable 0.19s 0.51s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    3
% Syntax   : Number of clauses     :    5 (   5 unt;   0 nHn;   5 RR)
%            Number of literals    :    5 (   4 equ;   1 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :    2 (   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   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(ax_antisymb_1,hypothesis,
    greatest_lower_bound(a,b) = a,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_antisymb_1) ).

cnf(ax_antisymb_2,hypothesis,
    greatest_lower_bound(a,b) = b,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_antisymb_2) ).

cnf(19,plain,
    a = b,
    inference('REWRITE',[status(thm)],[ax_antisymb_2,ax_antisymb_1,theory(equality)]) ).

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

cnf(21,plain,
    $false,
    inference('REWRITE',[status(thm)],[prove_ax_antisymb,19,theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem  : GRP137-1 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.12/0.13  % Command  : run-snark %s %d
% 0.13/0.34  % Computer : n015.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 20:06:53 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.19/0.46  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.47  * 
% 0.19/0.47  * 
% 0.19/0.48  #<PACKAGE "SNARK-USER">
% 0.19/0.48  * 
% 0.19/0.48  SNARK-TPTP-OPTIONS
% 0.19/0.48  * 
% 0.19/0.48  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.48   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.48   (USE-FACTORING :POS)
% 0.19/0.48   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.48   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.48   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.48   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.48   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.48   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.48   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.48   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.48   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.48   (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.48  * 
% 0.19/0.48  "."
% 0.19/0.48  * 
% 0.19/0.48  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-13T20:06:53
% 0.19/0.48  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n015.cluster.edu at 2022-06-13T20:06:53
% 0.19/0.49  
% 0.19/0.49  ; Recognized left identity assertion (= (|multiply| |identity| ?X) ?X).
% 0.19/0.49  ; Recognized possible left inverse assertion (= (|multiply| (|inverse| ?X) ?X) |identity|).
% 0.19/0.49  ; Recognized associativity assertion (= (|multiply| (|multiply| ?X ?Y) ?Z) (|multiply| ?X (|multiply| ?Y ?Z))).
% 0.19/0.49  ; Recognized commutativity assertion (= (|greatest_lower_bound| ?X ?Y) (|greatest_lower_bound| ?Y ?X)).
% 0.19/0.49  ; Recognized commutativity assertion (= (|least_upper_bound| ?X ?Y) (|least_upper_bound| ?Y ?X)).
% 0.19/0.49  ; Recognized associativity assertion (= (|greatest_lower_bound| ?X (|greatest_lower_bound| ?Y ?Z)) (|greatest_lower_bound| (|greatest_lower_bound| ?X ?Y) ?Z)).
% 0.19/0.49  ; Recognized associativity assertion (= (|least_upper_bound| ?X (|least_upper_bound| ?Y ?Z)) (|least_upper_bound| (|least_upper_bound| ?X ?Y) ?Z)).
% 0.19/0.49  ; Declaring greatest_lower_bound to be commutative.
% 0.19/0.49  ; Declaring greatest_lower_bound to be associative-commutative.
% 0.19/0.49  ; Declaring least_upper_bound to be commutative.
% 0.19/0.51  ; Declaring least_upper_bound to be associative-commutative.
% 0.19/0.51  
% 0.19/0.51  #||
% 0.19/0.51  % SZS status Unsatisfiable for /export/starexec/sandbox/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  ;        26 formulas have been input or derived (from 1 formulas).
% 0.19/0.51  ;        21 (81%) were retained.  Of these,
% 0.19/0.51  ;            4 (19%) were simplified or subsumed later,
% 0.19/0.51  ;           17 (81%) are still being kept.
% 0.19/0.51  ; 
% 0.19/0.51  ; Run time in seconds excluding printing time:
% 0.19/0.51  ;     0.003  10%   Read assertion file          (1 call)
% 0.19/0.51  ;     0.001   3%   Assert                       (18 calls)
% 0.19/0.51  ;     0.002   7%   Process new row              (23 calls)
% 0.19/0.51  ;     0.000   0%   Embedding                    (9 calls)
% 0.19/0.51  ;     0.001   3%   Forward simplification       (18 calls)
% 0.19/0.51  ;     0.000   0%   Backward simplification      (14 calls)
% 0.19/0.51  ;     0.000   0%   Ordering                     (25 calls)
% 0.19/0.51  ;     0.001   3%   Sortal reasoning             (32 calls)
% 0.19/0.51  ;     0.000   0%   Purity testing               (1 call)
% 0.19/0.51  ;     0.021  72%   Other
% 0.19/0.51  ;     0.029        Total
% 0.19/0.51  ;     0.031        Real time
% 0.19/0.51  ; 
% 0.19/0.51  ; Term-hash-array has 51 terms in all.
% 0.19/0.51  ; Feature-vector-row-index has 0 entries (0 at peak, 0 added, 0 deleted).
% 0.19/0.51  ; Feature-vector-row-index has 1 node (1 at peak, 1 added, 0 deleted).
% 0.19/0.51  ; Path-index has 49 entries (54 at peak, 54 added, 5 deleted).
% 0.19/0.51  ; Path-index has 99 nodes (103 at peak, 103 added, 4 deleted).
% 0.19/0.51  ; Trie-index has 49 entries (54 at peak, 54 added, 5 deleted).
% 0.19/0.51  ; Trie-index has 66 nodes (67 at peak, 67 added, 1 deleted).
% 0.19/0.51  ; Retrieved 24 generalization terms in 42 calls.
% 0.19/0.51  ; Retrieved 15 instance terms in 15 calls.
% 0.19/0.51  ; 
% 0.19/0.51  ; The agenda of backward simplifiable rows to process has 1 entry:
% 0.19/0.51  ;     1 with value 0
% 0.19/0.51  ; The agenda of input rows to give has 16 entries:
% 0.19/0.51  ;     1 with value 4               1 with value 9                1 with value 14
% 0.19/0.51  ;     5 with value 7               4 with value 10               4 with value 16
% 0.19/0.51  Evaluation took:
% 0.19/0.51    0.031 seconds of real time
% 0.19/0.51    0.025013 seconds of user run time
% 0.19/0.51    0.005691 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    1,514,832 bytes consed.
% 0.19/0.51  :PROOF-FOUND
% 0.19/0.51  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-13T20:06:53
% 0.19/0.51  :PROOF-FOUND
% 0.19/0.51  * 
%------------------------------------------------------------------------------