TSTP Solution File: SWV284-2 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SWV284-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n014.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 21:32:33 EDT 2022

% Result   : Unsatisfiable 0.19s 0.51s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    6
% Syntax   : Number of clauses     :   11 (   6 unt;   1 nHn;   6 RR)
%            Number of literals    :   16 (   0 equ;   7 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :   13 (  13 usr;   6 con; 0-3 aty)
%            Number of variables   :   17 (   6 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_conjecture_0,negated_conjecture,
    c_lessequals(X,v_x(X),tc_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).

cnf(cls_conjecture_1,negated_conjecture,
    ( ~ c_in(c_Message_Omsg_ONonce(X),c_Event_Oused(v_list),tc_Message_Omsg)
    | ~ c_lessequals(v_N,X,tc_nat) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).

cnf(cls_conjecture_2,negated_conjecture,
    ( c_in(c_Message_Omsg_ONonce(v_x(X)),c_Event_Oused(v_list),tc_Message_Omsg)
    | c_in(c_Message_Omsg_ONonce(v_x(X)),c_Message_Oparts(c_insert(v_msg,c_emptyset,tc_Message_Omsg)),tc_Message_Omsg) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).

cnf(cls_Message_Omsg__Nonce__supply_0,axiom,
    ( ~ c_in(c_Message_Omsg_ONonce(X),c_Message_Oparts(c_insert(Y,c_emptyset,tc_Message_Omsg)),tc_Message_Omsg)
    | ~ c_lessequals(v_sko__upX(Y),X,tc_nat) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Omsg__Nonce__supply_0) ).

cnf(cls_Nat_Oadd__leE_0,axiom,
    ( ~ c_lessequals(c_plus(X,Y,tc_nat),Z,tc_nat)
    | c_lessequals(Y,Z,tc_nat) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_Oadd__leE_0) ).

cnf(cls_Nat_Oadd__leE_1,axiom,
    ( ~ c_lessequals(c_plus(X,Y,tc_nat),Z,tc_nat)
    | c_lessequals(X,Z,tc_nat) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_Oadd__leE_1) ).

cnf(8,plain,
    c_lessequals(X,v_x(c_plus(Y,X,tc_nat)),tc_nat),
    inference('HYPERRESOLVE',[status(thm)],[cls_Nat_Oadd__leE_0,cls_conjecture_0]) ).

cnf(9,plain,
    c_lessequals(X,v_x(c_plus(X,Y,tc_nat)),tc_nat),
    inference('HYPERRESOLVE',[status(thm)],[cls_Nat_Oadd__leE_1,cls_conjecture_0]) ).

cnf(16,plain,
    c_in(c_Message_Omsg_ONonce(v_x(c_plus(X,v_sko__upX(v_msg),tc_nat))),c_Event_Oused(v_list),tc_Message_Omsg),
    inference('HYPERRESOLVE',[status(thm)],[cls_Message_Omsg__Nonce__supply_0,8,cls_conjecture_2]) ).

cnf(18,plain,
    ~ c_in(c_Message_Omsg_ONonce(v_x(c_plus(v_N,X,tc_nat))),c_Event_Oused(v_list),tc_Message_Omsg),
    inference('UR-RESOLVE',[status(thm)],[cls_conjecture_1,9]) ).

cnf(59,plain,
    $false,
    inference('HYPERRESOLVE',[status(thm)],[18,16]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : SWV284-2 : TPTP v8.1.0. Released v3.2.0.
% 0.06/0.13  % Command  : run-snark %s %d
% 0.13/0.34  % Computer : n014.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 10:20:51 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.19/0.46  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.47  * 
% 0.19/0.47  * 
% 0.19/0.47  #<PACKAGE "SNARK-USER">
% 0.19/0.47  * 
% 0.19/0.47  SNARK-TPTP-OPTIONS
% 0.19/0.47  * 
% 0.19/0.47  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.47   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.47   (USE-FACTORING :POS)
% 0.19/0.47   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.47   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.47   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.47   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.47   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.47   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.47   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.47   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.47   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.47   (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.47  * 
% 0.19/0.47  "."
% 0.19/0.47  * 
% 0.19/0.47  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-15T10:20:51
% 0.19/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n014.cluster.edu at 2022-06-15T10:20:51
% 0.19/0.49  
% 0.19/0.51  ; Recognized possible right inverse assertion (|c_lessequals| ?X (|v_x| ?X) |tc_nat|).
% 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  ;        83 formulas have been input or derived (from 26 formulas).
% 0.19/0.51  ;        59 (71%) were retained.  Of these,
% 0.19/0.51  ;           59 (100%) are still being kept.
% 0.19/0.51  ; 
% 0.19/0.51  ; Run time in seconds excluding printing time:
% 0.19/0.51  ;     0.002   5%   Read assertion file          (1 call)
% 0.19/0.51  ;     0.000   0%   Assert                       (6 calls)
% 0.19/0.51  ;     0.007  19%   Process new row              (72 calls)
% 0.19/0.51  ;     0.003   8%   Resolution                   (50 calls)
% 0.19/0.51  ;     0.000   0%   Paramodulation               (25 calls)
% 0.19/0.51  ;     0.000   0%   Factoring                    (1 call)
% 0.19/0.51  ;     0.000   0%   Condensing                   (5 calls)
% 0.19/0.51  ;     0.000   0%   Forward subsumption          (5 calls)
% 0.19/0.51  ;     0.000   0%   Backward subsumption         (5 calls)
% 0.19/0.51  ;     0.000   0%   Clause clause subsumption    (2 calls)
% 0.19/0.51  ;     0.002   5%   Forward simplification       (72 calls)
% 0.19/0.51  ;     0.001   3%   Backward simplification      (59 calls)
% 0.19/0.51  ;     0.000   0%   Ordering                     (2 calls)
% 0.19/0.51  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.19/0.51  ;     0.000   0%   Purity testing               (1 call)
% 0.19/0.51  ;     0.022  59%   Other
% 0.19/0.51  ;     0.037        Total
% 0.19/0.51  ;     0.039        Real time
% 0.19/0.51  ; 
% 0.19/0.51  ; Term-hash-array has 180 terms in all.
% 0.19/0.51  ; Feature-vector-row-index has 5 entries (5 at peak, 5 added, 0 deleted).
% 0.19/0.51  ; Feature-vector-row-index has 47 nodes (47 at peak, 47 added, 0 deleted).
% 0.19/0.51  ;  Retrieved 1 possibly forward subsuming row in 5 calls.
% 0.19/0.51  ;  Retrieved 1 possibly backward subsumed row in 5 calls.
% 0.19/0.51  ; Path-index has 186 entries (186 at peak, 186 added, 0 deleted).
% 0.19/0.51  ; Path-index has 407 nodes (407 at peak, 407 added, 0 deleted).
% 0.19/0.51  ; Trie-index has 186 entries (186 at peak, 186 added, 0 deleted).
% 0.19/0.51  ; Trie-index has 716 nodes (716 at peak, 716 added, 0 deleted).
% 0.19/0.51  ; Retrieved 94 generalization terms in 70 calls.
% 0.19/0.51  ; Retrieved 60 instance terms in 53 calls.
% 0.19/0.51  ; Retrieved 368 unifiable terms in 271 calls.
% 0.19/0.51  ; 
% 0.19/0.51  ; The agenda of rows to process has 1 entry:
% 0.19/0.51  ;     1 with value 16
% 0.19/0.51  ; The agenda of rows to give has 33 entries:
% 0.19/0.51  ;     1 with value (4 18)         10 with value (4 21)           4 with value (4 23)
% 0.19/0.51  ;     4 with value (4 19)          8 with value (4 22)           4 with value (4 26)
% 0.19/0.51  ;     2 with value (4 20)
% 0.19/0.51  Evaluation took:
% 0.19/0.51    0.039 seconds of real time
% 0.19/0.51    0.033225 seconds of user run time
% 0.19/0.51    0.006087 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    2,612,360 bytes consed.
% 0.19/0.51  :PROOF-FOUND
% 0.19/0.51  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-15T10:20:51
% 0.19/0.51  :PROOF-FOUND
% 0.19/0.51  * 
%------------------------------------------------------------------------------