TSTP Solution File: SWV239-2 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SWV239-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n020.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 21:32:15 EDT 2022

% Result   : Unsatisfiable 0.16s 0.51s
% Output   : Refutation 0.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    6
% Syntax   : Number of clauses     :   10 (   6 unt;   1 nHn;   8 RR)
%            Number of literals    :   15 (   0 equ;   7 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :    7 (   7 usr;   3 con; 0-3 aty)
%            Number of variables   :   14 (   1 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_conjecture_0,negated_conjecture,
    ~ c_lessequals(c_Message_Oanalz(c_union(c_Message_Oanalz(v_G),v_H,tc_Message_Omsg)),c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).

cnf(cls_Message_Oanalz__analzD__dest_0,axiom,
    ( ~ c_in(X,c_Message_Oanalz(c_Message_Oanalz(Y)),tc_Message_Omsg)
    | c_in(X,c_Message_Oanalz(Y),tc_Message_Omsg) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Oanalz__analzD__dest_0) ).

cnf(cls_Message_Oanalz__subset__cong_0,axiom,
    ( ~ c_lessequals(c_Message_Oanalz(X),c_Message_Oanalz(Y),tc_set(tc_Message_Omsg))
    | ~ c_lessequals(c_Message_Oanalz(Z),c_Message_Oanalz(U),tc_set(tc_Message_Omsg))
    | c_lessequals(c_Message_Oanalz(c_union(Z,X,tc_Message_Omsg)),c_Message_Oanalz(c_union(U,Y,tc_Message_Omsg)),tc_set(tc_Message_Omsg)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Oanalz__subset__cong_0) ).

cnf(cls_Set_OsubsetI_0,axiom,
    ( c_in(c_Main_OsubsetI__1(X,Y,Z),X,Z)
    | c_lessequals(X,Y,tc_set(Z)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OsubsetI_0) ).

cnf(cls_Set_OsubsetI_1,axiom,
    ( ~ c_in(c_Main_OsubsetI__1(X,Y,Z),Y,Z)
    | c_lessequals(X,Y,tc_set(Z)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OsubsetI_1) ).

cnf(cls_Set_Osubset__refl_0,axiom,
    c_lessequals(X,X,tc_set(Y)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_Osubset__refl_0) ).

cnf(9,plain,
    ~ c_lessequals(c_Message_Oanalz(c_Message_Oanalz(v_G)),c_Message_Oanalz(v_G),tc_set(tc_Message_Omsg)),
    inference('UR-RESOLVE',[status(thm)],[cls_Message_Oanalz__subset__cong_0,cls_Set_Osubset__refl_0,cls_conjecture_0]) ).

cnf(13,plain,
    ~ c_in(c_Main_OsubsetI__1(c_Message_Oanalz(c_Message_Oanalz(v_G)),c_Message_Oanalz(v_G),tc_Message_Omsg),c_Message_Oanalz(v_G),tc_Message_Omsg),
    inference('UR-RESOLVE',[status(thm)],[cls_Set_OsubsetI_1,9]) ).

cnf(14,plain,
    c_in(c_Main_OsubsetI__1(c_Message_Oanalz(c_Message_Oanalz(v_G)),c_Message_Oanalz(v_G),tc_Message_Omsg),c_Message_Oanalz(c_Message_Oanalz(v_G)),tc_Message_Omsg),
    inference('HYPERRESOLVE',[status(thm)],[9,cls_Set_OsubsetI_0]) ).

cnf(15,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[cls_Message_Oanalz__analzD__dest_0,13]),14]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.15  % Problem  : SWV239-2 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.15  % Command  : run-snark %s %d
% 0.10/0.37  % Computer : n020.cluster.edu
% 0.10/0.37  % Model    : x86_64 x86_64
% 0.10/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37  % Memory   : 8042.1875MB
% 0.10/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.37  % CPULimit : 300
% 0.10/0.37  % WCLimit  : 600
% 0.10/0.37  % DateTime : Wed Jun 15 13:40:04 EDT 2022
% 0.10/0.37  % CPUTime  : 
% 0.16/0.48  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/0.49  * 
% 0.16/0.49  * 
% 0.16/0.49  #<PACKAGE "SNARK-USER">
% 0.16/0.49  * 
% 0.16/0.49  SNARK-TPTP-OPTIONS
% 0.16/0.49  * 
% 0.16/0.49  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.16/0.49   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.16/0.49   (USE-FACTORING :POS)
% 0.16/0.49   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.16/0.49   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.16/0.49   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.16/0.49   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.16/0.49   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.16/0.49   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.16/0.49   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.16/0.49   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.16/0.49   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.16/0.49   (DECLARE-TPTP-SYMBOLS2))
% 0.16/0.49  * 
% 0.16/0.49  "."
% 0.16/0.49  * 
% 0.16/0.49  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-15T13:40:04
% 0.16/0.49  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n020.cluster.edu at 2022-06-15T13:40:04
% 0.16/0.51  
% 0.16/0.51  
% 0.16/0.51  #||
% 0.16/0.51  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/0.51  % SZS output start Refutation
% See solution above
% 0.16/0.51  ||#
% 0.16/0.51  
% 0.16/0.51  ; Summary of computation:
% 0.16/0.51  ;        19 formulas have been input or derived (from 9 formulas).
% 0.16/0.51  ;        15 (79%) were retained.  Of these,
% 0.16/0.51  ;           15 (100%) are still being kept.
% 0.16/0.51  ; 
% 0.16/0.51  ; Run time in seconds excluding printing time:
% 0.16/0.51  ;     0.001   6%   Read assertion file          (1 call)
% 0.16/0.51  ;     0.000   0%   Assert                       (6 calls)
% 0.16/0.51  ;     0.002  11%   Process new row              (16 calls)
% 0.16/0.51  ;     0.000   0%   Resolution                   (16 calls)
% 0.16/0.51  ;     0.000   0%   Paramodulation               (8 calls)
% 0.16/0.51  ;     0.000   0%   Factoring                    (1 call)
% 0.16/0.51  ;     0.000   0%   Condensing                   (7 calls)
% 0.16/0.51  ;     0.001   6%   Forward subsumption          (7 calls)
% 0.16/0.51  ;     0.000   0%   Backward subsumption         (7 calls)
% 0.16/0.51  ;     0.000   0%   Clause clause subsumption    (7 calls)
% 0.16/0.51  ;     0.000   0%   Forward simplification       (16 calls)
% 0.16/0.51  ;     0.000   0%   Backward simplification      (15 calls)
% 0.16/0.51  ;     0.000   0%   Ordering                     (12 calls)
% 0.16/0.51  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.16/0.51  ;     0.000   0%   Purity testing               (1 call)
% 0.16/0.51  ;     0.014  78%   Other
% 0.16/0.51  ;     0.018        Total
% 0.16/0.51  ;     0.021        Real time
% 0.16/0.51  ; 
% 0.16/0.51  ; Term-hash-array has 48 terms in all.
% 0.16/0.51  ; Feature-vector-row-index has 7 entries (7 at peak, 7 added, 0 deleted).
% 0.16/0.51  ; Feature-vector-row-index has 59 nodes (59 at peak, 59 added, 0 deleted).
% 0.16/0.51  ;  Retrieved 6 possibly forward subsuming rows in 7 calls.
% 0.16/0.51  ;  Retrieved 1 possibly backward subsumed row in 7 calls.
% 0.16/0.51  ; Path-index has 51 entries (51 at peak, 51 added, 0 deleted).
% 0.16/0.51  ; Path-index has 153 nodes (153 at peak, 153 added, 0 deleted).
% 0.16/0.51  ; Trie-index has 51 entries (51 at peak, 51 added, 0 deleted).
% 0.16/0.51  ; Trie-index has 154 nodes (154 at peak, 154 added, 0 deleted).
% 0.16/0.51  ; Retrieved 6 generalization terms in 19 calls.
% 0.16/0.51  ; Retrieved 12 instance terms in 7 calls.
% 0.16/0.51  ; Retrieved 101 unifiable terms in 67 calls.
% 0.16/0.51  ; 
% 0.16/0.51  ; The agenda of rows to give has 6 entries:
% 0.16/0.51  ;     1 with value (4 18)          1 with value (4 27)           1 with value (4 43)
% 0.16/0.51  ;     1 with value (4 26)          2 with value (4 30)
% 0.16/0.51  Evaluation took:
% 0.16/0.51    0.021 seconds of real time
% 0.16/0.51    0.015569 seconds of user run time
% 0.16/0.51    0.004954 seconds of system run time
% 0.16/0.51    0 calls to %EVAL
% 0.16/0.51    0 page faults and
% 0.16/0.51    2,194,584 bytes consed.
% 0.16/0.51  :PROOF-FOUND
% 0.16/0.51  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-15T13:40:04
% 0.16/0.51  :PROOF-FOUND
% 0.16/0.51  * 
%------------------------------------------------------------------------------