TSTP Solution File: SWV866-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SWV866-1 : TPTP v8.1.0. Released v4.1.0.
% 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 : Wed Jul 20 21:36:17 EDT 2022

% Result   : Unsatisfiable 0.22s 0.56s
% Output   : Refutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    3
% Syntax   : Number of clauses     :    6 (   5 unt;   0 nHn;   4 RR)
%            Number of literals    :    7 (   4 equ;   3 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   2 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   3 con; 0-0 aty)
%            Number of variables   :    3 (   3 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_state__not__singleton__def_0,axiom,
    ( v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__1 != v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__2
    | ~ c_Hoare__Mirabelle_Ostate__not__singleton ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_state__not__singleton__def_0) ).

cnf(cls_conjecture_0,negated_conjecture,
    c_Hoare__Mirabelle_Ostate__not__singleton,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).

cnf(cls_conjecture_1,negated_conjecture,
    X = v_s_H,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).

cnf(27,plain,
    v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__1 != v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__2,
    inference('REWRITE',[status(thm)],[cls_state__not__singleton__def_0,cls_conjecture_0]) ).

cnf(28,plain,
    X = Y,
    inference('PARAMODULATE',[status(thm)],[cls_conjecture_1,cls_conjecture_1,theory(equality)]) ).

cnf(29,plain,
    $false,
    inference('REWRITE',[status(thm)],[27,28,theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14  % Problem  : SWV866-1 : TPTP v8.1.0. Released v4.1.0.
% 0.08/0.15  % Command  : run-snark %s %d
% 0.15/0.37  % Computer : n022.cluster.edu
% 0.15/0.37  % Model    : x86_64 x86_64
% 0.15/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37  % Memory   : 8042.1875MB
% 0.15/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37  % CPULimit : 300
% 0.15/0.37  % WCLimit  : 600
% 0.15/0.37  % DateTime : Thu Jun 16 01:08:32 EDT 2022
% 0.15/0.37  % CPUTime  : 
% 0.22/0.50  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.22/0.51  * 
% 0.22/0.51  * 
% 0.22/0.52  #<PACKAGE "SNARK-USER">
% 0.22/0.52  * 
% 0.22/0.52  SNARK-TPTP-OPTIONS
% 0.22/0.52  * 
% 0.22/0.52  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.22/0.52   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.22/0.52   (USE-FACTORING :POS)
% 0.22/0.52   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.22/0.52   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.22/0.52   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.22/0.52   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.22/0.52   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.22/0.52   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.22/0.52   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.22/0.52   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.22/0.52   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.22/0.52   (DECLARE-TPTP-SYMBOLS2))
% 0.22/0.52  * 
% 0.22/0.52  "."
% 0.22/0.52  * 
% 0.22/0.52  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-16T01:08:32
% 0.22/0.52  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n022.cluster.edu at 2022-06-16T01:08:32
% 0.22/0.54  
% 0.22/0.54  ; Recognized relation functionality assertion (OR (= ?X ?Y) (NOT (|c_Natural_Oevalc| ?Z ?U ?X)) (NOT (|c_Natural_Oevalc| ?Z ?U ?Y))).
% 0.22/0.54  WARNING: Cannot use equality or equivalence (= ?X v_s_H) as rewrite.
% 0.22/0.56  ; Recognized possible left identity assertion (|c_Natural_Oevalc| |c_Com_Ocom_OSKIP| ?X ?X).
% 0.22/0.56  
% 0.22/0.56  #||
% 0.22/0.56  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.22/0.56  % SZS output start Refutation
% See solution above
% 0.22/0.56  ||#
% 0.22/0.56  
% 0.22/0.56  ; Summary of computation:
% 0.22/0.56  ;        34 formulas have been input or derived (from 3 formulas).
% 0.22/0.56  ;        29 (85%) were retained.  Of these,
% 0.22/0.56  ;           14 (48%) were simplified or subsumed later,
% 0.22/0.56  ;           15 (52%) are still being kept.
% 0.22/0.56  ; 
% 0.22/0.56  ; Run time in seconds:
% 0.22/0.56  ;     0.005  14%   Read assertion file          (1 call)
% 0.22/0.56  ;     0.001   3%   Assert                       (26 calls)
% 0.22/0.56  ;     0.003   8%   Process new row              (31 calls)
% 0.22/0.56  ;     0.000   0%   Resolution                   (4 calls)
% 0.22/0.56  ;     0.000   0%   Paramodulation               (2 calls)
% 0.22/0.56  ;     0.001   3%   Condensing                   (19 calls)
% 0.22/0.56  ;     0.000   0%   Forward subsumption          (19 calls)
% 0.22/0.56  ;     0.000   0%   Backward subsumption         (18 calls)
% 0.22/0.56  ;     0.000   0%   Clause clause subsumption    (7 calls)
% 0.22/0.56  ;     0.000   0%   Forward simplification       (31 calls)
% 0.22/0.56  ;     0.002   5%   Backward simplification      (29 calls)
% 0.22/0.56  ;     0.000   0%   Ordering                     (8 calls)
% 0.22/0.56  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.22/0.56  ;     0.000   0%   Purity testing               (1 call)
% 0.22/0.56  ;     0.025  68%   Other
% 0.22/0.56  ;     0.037        Total
% 0.22/0.56  ;     0.036        Real time
% 0.22/0.56  ; 
% 0.22/0.56  ; Term-hash-array has 46 terms in all.
% 0.22/0.56  ; Feature-vector-row-index has 9 entries (18 at peak, 18 added, 9 deleted).
% 0.22/0.56  ; Feature-vector-row-index has 18 nodes (41 at peak, 41 added, 23 deleted).
% 0.22/0.56  ;  Retrieved 4 possibly forward subsuming rows in 19 calls.
% 0.22/0.56  ;  Retrieved 3 possibly backward subsumed rows in 18 calls.
% 0.22/0.56  ; Path-index has 36 entries (55 at peak, 63 added, 27 deleted).
% 0.22/0.56  ; Path-index has 135 nodes (150 at peak, 160 added, 25 deleted).
% 0.22/0.56  ; Trie-index has 36 entries (55 at peak, 63 added, 27 deleted).
% 0.22/0.56  ; Trie-index has 95 nodes (117 at peak, 130 added, 35 deleted).
% 0.22/0.56  ; Retrieved 2 generalization terms in 22 calls.
% 0.22/0.56  ; Retrieved 18 instance terms in 10 calls.
% 0.22/0.56  ; Retrieved 7 unifiable terms in 7 calls.
% 0.22/0.56  ; 
% 0.22/0.56  ; The agenda of input rows to give has 12 entries:
% 0.22/0.56  ;     2 with value 5               1 with value 11               3 with value 18
% 0.22/0.56  ;     1 with value 6               2 with value 15               3 with value 21
% 0.22/0.56  ; The agenda of rows to give has 1 entry:
% 0.22/0.56  ;     1 with value (4 5)
% 0.22/0.56  Evaluation took:
% 0.22/0.56    0.037 seconds of real time
% 0.22/0.56    0.031162 seconds of user run time
% 0.22/0.56    0.005949 seconds of system run time
% 0.22/0.56    0 calls to %EVAL
% 0.22/0.56    0 page faults and
% 0.22/0.56    1,764,400 bytes consed.
% 0.22/0.56  :PROOF-FOUND
% 0.22/0.56  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-16T01:08:32
% 0.22/0.56  :PROOF-FOUND
% 0.22/0.56  * 
%------------------------------------------------------------------------------