TSTP Solution File: SWV338-2 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SWV338-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n028.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 21:32:53 EDT 2022

% Result   : Unsatisfiable 0.20s 0.51s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    9
% Syntax   : Number of clauses     :   13 (   9 unt;   1 nHn;  12 RR)
%            Number of literals    :   19 (   3 equ;   8 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :   17 (  17 usr;   7 con; 0-3 aty)
%            Number of variables   :    9 (   1 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_Event_Oc_A_58_Aparts_A_Iknows_ASpy_Aevs1_J_A_61_61_62_Ac_A_58_Aused_Aevs1_0,axiom,
    ( ~ c_in(X,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,Y)),tc_Message_Omsg)
    | c_in(X,c_Event_Oused(Y),tc_Message_Omsg) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Event_Oc_A_58_Aparts_A_Iknows_ASpy_Aevs1_J_A_61_61_62_Ac_A_58_Aused_Aevs1_0) ).

cnf(cls_Event_OkeysFor__parts__insert__dest_0,axiom,
    ( ~ c_in(X,c_Message_OkeysFor(c_Message_Oparts(c_insert(Y,Z,tc_Message_Omsg))),tc_nat)
    | ~ c_in(Y,c_Message_Osynth(c_Message_Oanalz(U)),tc_Message_Omsg)
    | c_in(X,c_Message_OkeysFor(c_Message_Oparts(c_union(Z,U,tc_Message_Omsg))),tc_nat)
    | c_in(c_Message_Omsg_OKey(c_Message_OinvKey(X)),c_Message_Oparts(U),tc_Message_Omsg) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Event_OkeysFor__parts__insert__dest_0) ).

cnf(cls_Public_OinvKey__K_0,axiom,
    ( ~ c_in(X,c_Message_OsymKeys,tc_nat)
    | c_Message_OinvKey(X) = X ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Public_OinvKey__K_0) ).

cnf(cls_Set_OUn__absorb_0,axiom,
    c_union(X,X,Y) = X,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OUn__absorb_0) ).

cnf(cls_conjecture_0,negated_conjecture,
    c_in(v_K,c_Message_OsymKeys,tc_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).

cnf(cls_conjecture_2,negated_conjecture,
    c_in(v_X,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).

cnf(cls_conjecture_4,negated_conjecture,
    ~ c_in(c_Message_Omsg_OKey(v_K),c_Event_Oused(v_evsf),tc_Message_Omsg),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_4) ).

cnf(cls_conjecture_5,negated_conjecture,
    c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg))),tc_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_5) ).

cnf(cls_conjecture_6,negated_conjecture,
    ( ~ c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_nat)
    | c_in(c_Message_Omsg_OKey(v_K),c_Event_Oused(v_evsf),tc_Message_Omsg) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_6) ).

cnf(10,plain,
    ~ c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_nat),
    inference('REWRITE',[status(thm)],[cls_conjecture_6,cls_conjecture_4]) ).

cnf(11,plain,
    c_Message_OinvKey(v_K) = v_K,
    inference('HYPERRESOLVE',[status(thm)],[cls_Public_OinvKey__K_0,cls_conjecture_0]) ).

cnf(12,plain,
    ~ c_in(c_Message_Omsg_OKey(v_K),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg),
    inference('UR-RESOLVE',[status(thm)],[cls_Event_Oc_A_58_Aparts_A_Iknows_ASpy_Aevs1_J_A_61_61_62_Ac_A_58_Aused_Aevs1_0,cls_conjecture_4]) ).

cnf(13,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[cls_Event_OkeysFor__parts__insert__dest_0,cls_conjecture_5,cls_conjecture_2]),12,11,10,cls_Set_OUn__absorb_0,theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SWV338-2 : TPTP v8.1.0. Released v3.2.0.
% 0.11/0.13  % Command  : run-snark %s %d
% 0.13/0.34  % Computer : n028.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 06:55:55 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.20/0.47  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.48  * 
% 0.20/0.48  * 
% 0.20/0.48  #<PACKAGE "SNARK-USER">
% 0.20/0.48  * 
% 0.20/0.48  SNARK-TPTP-OPTIONS
% 0.20/0.48  * 
% 0.20/0.49  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.49   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.49   (USE-FACTORING :POS)
% 0.20/0.49   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.49   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.49   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.49   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.49   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.49   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.49   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.49   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.49   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.49   (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.49  * 
% 0.20/0.49  "."
% 0.20/0.49  * 
% 0.20/0.49  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-15T06:55:55
% 0.20/0.49  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n028.cluster.edu at 2022-06-15T06:55:55
% 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
% 0.20/0.52  ||#
% 0.20/0.52  
% 0.20/0.52  ; Summary of computation:
% 0.20/0.52  ;        15 formulas have been input or derived (from 10 formulas).
% 0.20/0.52  ;        13 (87%) were retained.  Of these,
% 0.20/0.52  ;            1 ( 8%) were simplified or subsumed later,
% 0.20/0.52  ;           12 (92%) are still being kept.
% 0.20/0.52  ; 
% 0.20/0.52  ; Run time in seconds excluding printing time:
% 0.20/0.52  ;     0.003  11%   Read assertion file          (1 call)
% 0.20/0.52  ;     0.000   0%   Assert                       (9 calls)
% 0.20/0.52  ;     0.001   4%   Process new row              (13 calls)
% 0.20/0.52  ;     0.001   4%   Resolution                   (18 calls)
% 0.20/0.52  ;     0.000   0%   Paramodulation               (9 calls)
% 0.20/0.52  ;     0.000   0%   Condensing                   (3 calls)
% 0.20/0.52  ;     0.000   0%   Forward subsumption          (3 calls)
% 0.20/0.52  ;     0.000   0%   Backward subsumption         (3 calls)
% 0.20/0.52  ;     0.001   4%   Forward simplification       (13 calls)
% 0.20/0.52  ;     0.000   0%   Backward simplification      (12 calls)
% 0.20/0.52  ;     0.000   0%   Ordering                     (7 calls)
% 0.20/0.52  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.20/0.52  ;     0.000   0%   Purity testing               (1 call)
% 0.20/0.52  ;     0.022  79%   Other
% 0.20/0.52  ;     0.028        Total
% 0.20/0.52  ;     0.031        Real time
% 0.20/0.52  ; 
% 0.20/0.52  ; Term-hash-array has 42 terms in all.
% 0.20/0.52  ; Feature-vector-row-index has 3 entries (3 at peak, 3 added, 0 deleted).
% 0.20/0.52  ; Feature-vector-row-index has 43 nodes (43 at peak, 43 added, 0 deleted).
% 0.20/0.52  ;  Retrieved 0 possibly forward subsuming rows in 3 calls.
% 0.20/0.52  ;  Retrieved 0 possibly backward subsumed rows in 3 calls.
% 0.20/0.52  ; Path-index has 49 entries (49 at peak, 49 added, 0 deleted).
% 0.20/0.52  ; Path-index has 188 nodes (188 at peak, 188 added, 0 deleted).
% 0.20/0.52  ; Trie-index has 49 entries (49 at peak, 49 added, 0 deleted).
% 0.20/0.52  ; Trie-index has 161 nodes (161 at peak, 161 added, 0 deleted).
% 0.20/0.52  ; Retrieved 5 generalization terms in 10 calls.
% 0.20/0.52  ; Retrieved 9 instance terms in 8 calls.
% 0.20/0.52  ; Retrieved 25 unifiable terms in 80 calls.
% 0.20/0.52  ; 
% 0.20/0.52  ; The agenda of rows to give has 2 entries:
% 0.20/0.52  ;     1 with value (4 7)           1 with value (4 12)
% 0.20/0.52  Evaluation took:
% 0.20/0.52    0.031 seconds of real time
% 0.20/0.52    0.024919 seconds of user run time
% 0.20/0.52    0.005782 seconds of system run time
% 0.20/0.52    0 calls to %EVAL
% 0.20/0.52    0 page faults and
% 0.20/0.52    2,255,736 bytes consed.
% 0.20/0.52  :PROOF-FOUND
% 0.20/0.52  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-15T06:55:55
% 0.20/0.52  :PROOF-FOUND
% 0.20/0.52  * 
%------------------------------------------------------------------------------