TSTP Solution File: SWV244-2 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SWV244-2 : 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 21:32:17 EDT 2022

% Result   : Unsatisfiable 0.20s 0.51s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    6
% Syntax   : Number of clauses     :   12 (   8 unt;   1 nHn;   8 RR)
%            Number of literals    :   17 (   0 equ;   7 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :    7 (   7 usr;   4 con; 0-3 aty)
%            Number of variables   :   16 (   4 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_conjecture_0,negated_conjecture,
    c_in(v_X,c_union(c_Message_Osynth(v_G),v_H,tc_Message_Omsg),tc_Message_Omsg),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).

cnf(cls_conjecture_1,negated_conjecture,
    ~ c_in(v_X,c_union(c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),c_Message_Osynth(v_G),tc_Message_Omsg),tc_Message_Omsg),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).

cnf(cls_Message_Oanalz_OInj_0,axiom,
    ( ~ c_in(X,Y,tc_Message_Omsg)
    | c_in(X,c_Message_Oanalz(Y),tc_Message_Omsg) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Oanalz_OInj_0) ).

cnf(cls_Set_OUnCI_0,axiom,
    ( ~ c_in(X,Y,Z)
    | c_in(X,c_union(U,Y,Z),Z) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OUnCI_0) ).

cnf(cls_Set_OUnCI_1,axiom,
    ( ~ c_in(X,Y,Z)
    | c_in(X,c_union(Y,U,Z),Z) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OUnCI_1) ).

cnf(cls_Set_OUnE_0,axiom,
    ( ~ c_in(X,c_union(Y,Z,U),U)
    | c_in(X,Z,U)
    | c_in(X,Y,U) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OUnE_0) ).

cnf(10,plain,
    ~ c_in(v_X,c_Message_Osynth(v_G),tc_Message_Omsg),
    inference('UR-RESOLVE',[status(thm)],[cls_Set_OUnCI_0,cls_conjecture_1]) ).

cnf(11,plain,
    ~ c_in(v_X,c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg),
    inference('UR-RESOLVE',[status(thm)],[cls_Set_OUnCI_1,cls_conjecture_1]) ).

cnf(12,plain,
    c_in(v_X,v_H,tc_Message_Omsg),
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[cls_Set_OUnE_0,cls_conjecture_0]),10]) ).

cnf(16,plain,
    c_in(v_X,c_union(X,v_H,tc_Message_Omsg),tc_Message_Omsg),
    inference('HYPERRESOLVE',[status(thm)],[cls_Set_OUnCI_0,12]) ).

cnf(26,plain,
    c_in(v_X,c_Message_Oanalz(c_union(X,v_H,tc_Message_Omsg)),tc_Message_Omsg),
    inference('HYPERRESOLVE',[status(thm)],[cls_Message_Oanalz_OInj_0,16]) ).

cnf(27,plain,
    $false,
    inference('REWRITE',[status(thm)],[11,26]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SWV244-2 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.13  % Command  : run-snark %s %d
% 0.13/0.34  % Computer : n020.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 : Wed Jun 15 18:16:19 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.20/0.46  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.47  * 
% 0.20/0.47  * 
% 0.20/0.48  #<PACKAGE "SNARK-USER">
% 0.20/0.48  * 
% 0.20/0.48  SNARK-TPTP-OPTIONS
% 0.20/0.48  * 
% 0.20/0.48  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.48   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.48   (USE-FACTORING :POS)
% 0.20/0.48   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.48   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.48   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.48   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.48   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.48   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.48   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.48   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.48   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.48   (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.48  * 
% 0.20/0.48  "."
% 0.20/0.48  * 
% 0.20/0.48  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-15T18:16:19
% 0.20/0.48  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n020.cluster.edu at 2022-06-15T18:16:19
% 0.20/0.51  
% 0.20/0.51  
% 0.20/0.51  #||
% 0.20/0.51  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.51  % SZS output start Refutation
% See solution above
% 0.20/0.51  ||#
% 0.20/0.51  
% 0.20/0.51  ; Summary of computation:
% 0.20/0.51  ;        53 formulas have been input or derived (from 12 formulas).
% 0.20/0.51  ;        27 (51%) were retained.  Of these,
% 0.20/0.51  ;            3 (11%) were simplified or subsumed later,
% 0.20/0.51  ;           24 (89%) are still being kept.
% 0.20/0.51  ; 
% 0.20/0.51  ; Run time in seconds excluding printing time:
% 0.20/0.51  ;     0.002   7%   Read assertion file          (1 call)
% 0.20/0.51  ;     0.000   0%   Assert                       (6 calls)
% 0.20/0.51  ;     0.003  10%   Process new row              (37 calls)
% 0.20/0.51  ;     0.002   7%   Resolution                   (22 calls)
% 0.20/0.51  ;     0.000   0%   Paramodulation               (11 calls)
% 0.20/0.51  ;     0.000   0%   Condensing                   (4 calls)
% 0.20/0.51  ;     0.000   0%   Forward subsumption          (4 calls)
% 0.20/0.51  ;     0.000   0%   Backward subsumption         (4 calls)
% 0.20/0.51  ;     0.000   0%   Clause clause subsumption    (2 calls)
% 0.20/0.51  ;     0.001   3%   Forward simplification       (37 calls)
% 0.20/0.51  ;     0.001   3%   Backward simplification      (27 calls)
% 0.20/0.51  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.20/0.51  ;     0.000   0%   Purity testing               (1 call)
% 0.20/0.51  ;     0.020  69%   Other
% 0.20/0.51  ;     0.029        Total
% 0.20/0.51  ;     0.032        Real time
% 0.20/0.51  ; 
% 0.20/0.51  ; Term-hash-array has 57 terms in all.
% 0.20/0.51  ; Feature-vector-row-index has 4 entries (4 at peak, 4 added, 0 deleted).
% 0.20/0.51  ; Feature-vector-row-index has 10 nodes (10 at peak, 10 added, 0 deleted).
% 0.20/0.51  ;  Retrieved 1 possibly forward subsuming row in 4 calls.
% 0.20/0.51  ;  Retrieved 1 possibly backward subsumed row in 4 calls.
% 0.20/0.51  ; Path-index has 57 entries (60 at peak, 61 added, 4 deleted).
% 0.20/0.51  ; Path-index has 181 nodes (184 at peak, 185 added, 4 deleted).
% 0.20/0.51  ; Trie-index has 57 entries (60 at peak, 61 added, 4 deleted).
% 0.20/0.51  ; Trie-index has 234 nodes (247 at peak, 252 added, 18 deleted).
% 0.20/0.51  ; Retrieved 11 generalization terms in 43 calls.
% 0.20/0.51  ; Retrieved 25 instance terms in 22 calls.
% 0.20/0.51  ; Retrieved 240 unifiable terms in 98 calls.
% 0.20/0.51  ; 
% 0.20/0.51  ; The agenda of rows to process has 4 entries:
% 0.20/0.51  ;     4 with value 16
% 0.20/0.51  ; The agenda of rows to give has 13 entries:
% 0.20/0.51  ;     1 with value (4 12)          4 with value (4 16)           1 with value (4 29)
% 0.20/0.51  ;     5 with value (4 14)          2 with value (4 23)
% 0.20/0.51  Evaluation took:
% 0.20/0.51    0.032 seconds of real time
% 0.20/0.51    0.028794 seconds of user run time
% 0.20/0.51    0.002814 seconds of system run time
% 0.20/0.51    0 calls to %EVAL
% 0.20/0.51    0 page faults and
% 0.20/0.51    2,198,472 bytes consed.
% 0.20/0.51  :PROOF-FOUND
% 0.20/0.51  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-15T18:16:19
% 0.20/0.51  :PROOF-FOUND
% 0.20/0.51  * 
%------------------------------------------------------------------------------