TSTP Solution File: SWV321-2 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SWV321-2 : TPTP v8.1.0. Released v3.2.0.
% 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 21:32:47 EDT 2022

% Result   : Unsatisfiable 0.22s 0.60s
% Output   : Refutation 0.44s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   11
% Syntax   : Number of clauses     :   21 (   6 unt;   7 nHn;  18 RR)
%            Number of literals    :   40 (   0 equ;  13 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :   15 (  15 usr;   7 con; 0-3 aty)
%            Number of variables   :   20 (   3 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_conjecture_1,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/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).

cnf(cls_conjecture_2,negated_conjecture,
    ( c_in(v_A,c_Event_Obad,tc_Message_Oagent)
    | ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).

cnf(cls_conjecture_4,negated_conjecture,
    ( ~ c_in(v_A,c_Event_Obad,tc_Message_Oagent)
    | ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_Message_Omsg) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_4) ).

cnf(cls_conjecture_5,negated_conjecture,
    ( c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_Message_Omsg)
    | c_in(v_A,c_Event_Obad,tc_Message_Oagent) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_5) ).

cnf(cls_Message_OFake__parts__insert__in__Un__dest_0,axiom,
    ( ~ c_in(X,c_Message_Oparts(c_insert(Y,Z,tc_Message_Omsg)),tc_Message_Omsg)
    | ~ c_in(Y,c_Message_Osynth(c_Message_Oanalz(Z)),tc_Message_Omsg)
    | c_in(X,c_union(c_Message_Osynth(c_Message_Oanalz(Z)),c_Message_Oparts(Z),tc_Message_Omsg),tc_Message_Omsg) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_OFake__parts__insert__in__Un__dest_0) ).

cnf(cls_Message_OKey__synth_0,axiom,
    ( ~ c_in(c_Message_Omsg_OKey(X),c_Message_Osynth(Y),tc_Message_Omsg)
    | c_in(c_Message_Omsg_OKey(X),Y,tc_Message_Omsg) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_OKey__synth_0) ).

cnf(cls_Message_Oanalz__into__parts__dest_0,axiom,
    ( ~ c_in(X,c_Message_Oanalz(Y),tc_Message_Omsg)
    | c_in(X,c_Message_Oparts(Y),tc_Message_Omsg) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Oanalz__into__parts__dest_0) ).

cnf(cls_Message_Oparts_OInj_0,axiom,
    ( ~ c_in(X,Y,tc_Message_Omsg)
    | c_in(X,c_Message_Oparts(Y),tc_Message_Omsg) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Oparts_OInj_0) ).

cnf(cls_Public_OSpy__spies__bad__shrK_0,axiom,
    ( ~ c_in(X,c_Event_Obad,tc_Message_Oagent)
    | c_in(c_Message_Omsg_OKey(c_Public_OshrK(X)),c_Event_Oknows(c_Message_Oagent_OSpy,Y),tc_Message_Omsg) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Public_OSpy__spies__bad__shrK_0) ).

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/sandbox2/benchmark/theBenchmark.p',cls_Set_OUnE_0) ).

cnf(cls_Set_OinsertCI_0,axiom,
    ( ~ c_in(X,Y,Z)
    | c_in(X,c_insert(U,Y,Z),Z) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OinsertCI_0) ).

cnf(16,plain,
    ( c_in(v_A,c_Event_Obad,tc_Message_Oagent)
    | c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_union(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg),tc_Message_Omsg) ),
    inference('HYPERRESOLVE',[status(thm)],[cls_Message_OFake__parts__insert__in__Un__dest_0,cls_conjecture_5,cls_conjecture_1]) ).

cnf(59,plain,
    ( c_in(v_A,c_Event_Obad,tc_Message_Oagent)
    | c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg)
    | c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg) ),
    inference('HYPERRESOLVE',[status(thm)],[cls_Set_OUnE_0,16]) ).

cnf(150,plain,
    ( c_in(v_A,c_Event_Obad,tc_Message_Oagent)
    | c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg)
    | c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg) ),
    inference('HYPERRESOLVE',[status(thm)],[cls_Message_OKey__synth_0,59]) ).

cnf(153,plain,
    ( c_in(v_A,c_Event_Obad,tc_Message_Oagent)
    | c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg) ),
    inference('HYPERRESOLVE',[status(thm)],[cls_conjecture_2,150]) ).

cnf(154,plain,
    ( c_in(v_A,c_Event_Obad,tc_Message_Oagent)
    | c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg) ),
    inference('HYPERRESOLVE',[status(thm)],[cls_Message_Oanalz__into__parts__dest_0,153]) ).

cnf(157,plain,
    c_in(v_A,c_Event_Obad,tc_Message_Oagent),
    inference('HYPERRESOLVE',[status(thm)],[cls_conjecture_2,154]) ).

cnf(158,plain,
    ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_Message_Omsg),
    inference('REWRITE',[status(thm)],[cls_conjecture_4,157]) ).

cnf(159,plain,
    ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg),tc_Message_Omsg),
    inference('UR-RESOLVE',[status(thm)],[cls_Message_Oparts_OInj_0,158]) ).

cnf(164,plain,
    c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Event_Oknows(c_Message_Oagent_OSpy,X),tc_Message_Omsg),
    inference('HYPERRESOLVE',[status(thm)],[cls_Public_OSpy__spies__bad__shrK_0,157]) ).

cnf(165,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[cls_Set_OinsertCI_0,159]),164]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14  % Problem  : SWV321-2 : TPTP v8.1.0. Released v3.2.0.
% 0.08/0.15  % Command  : run-snark %s %d
% 0.15/0.36  % Computer : n022.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit : 300
% 0.15/0.36  % WCLimit  : 600
% 0.15/0.36  % DateTime : Wed Jun 15 00:09:18 EDT 2022
% 0.15/0.37  % CPUTime  : 
% 0.22/0.50  /export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p 2022-06-15T00:09:18
% 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 2022-06-15T00:09:18
% 0.22/0.60  
% 0.22/0.60  
% 0.22/0.60  #||
% 0.22/0.60  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.22/0.60  % SZS output start Refutation
% See solution above
% 0.44/0.61  ||#
% 0.44/0.61  
% 0.44/0.61  ; Summary of computation:
% 0.44/0.61  ;       285 formulas have been input or derived (from 85 formulas).
% 0.44/0.61  ;       165 (58%) were retained.  Of these,
% 0.44/0.61  ;           40 (24%) were simplified or subsumed later,
% 0.44/0.61  ;          125 (76%) are still being kept.
% 0.44/0.61  ; 
% 0.44/0.61  ; Run time in seconds excluding printing time:
% 0.44/0.61  ;     0.003   4%   Read assertion file          (1 call)
% 0.44/0.61  ;     0.001   1%   Assert                       (11 calls)
% 0.44/0.61  ;     0.025  29%   Process new row              (169 calls)
% 0.44/0.61  ;     0.012  14%   Resolution                   (168 calls)
% 0.44/0.61  ;     0.004   5%   Paramodulation               (84 calls)
% 0.44/0.61  ;     0.000   0%   Factoring                    (18 calls)
% 0.44/0.61  ;     0.001   1%   Condensing                   (47 calls)
% 0.44/0.61  ;     0.005   6%   Forward subsumption          (47 calls)
% 0.44/0.61  ;     0.001   1%   Backward subsumption         (47 calls)
% 0.44/0.61  ;     0.000   0%   Clause clause subsumption    (15 calls)
% 0.44/0.61  ;     0.001   1%   Forward simplification       (165 calls)
% 0.44/0.61  ;     0.005   6%   Backward simplification      (165 calls)
% 0.44/0.61  ;     0.000   0%   Ordering                     (38 calls)
% 0.44/0.61  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.44/0.61  ;     0.000   0%   Purity testing               (1 call)
% 0.44/0.61  ;     0.027  32%   Other
% 0.44/0.61  ;     0.085        Total
% 0.44/0.61  ;     0.089        Real time
% 0.44/0.61  ; 
% 0.44/0.61  ; Term-hash-array has 411 terms in all.
% 0.44/0.61  ; Feature-vector-row-index has 7 entries (43 at peak, 47 added, 40 deleted).
% 0.44/0.61  ; Feature-vector-row-index has 44 nodes (691 at peak, 744 added, 700 deleted).
% 0.44/0.61  ;  Retrieved 5 possibly forward subsuming rows in 47 calls.
% 0.44/0.61  ;  Retrieved 10 possibly backward subsumed rows in 47 calls.
% 0.44/0.61  ; Path-index has 341 entries (404 at peak, 424 added, 83 deleted).
% 0.44/0.61  ; Path-index has 2,708 nodes (2,820 at peak, 2,936 added, 228 deleted).
% 0.44/0.61  ; Trie-index has 341 entries (404 at peak, 424 added, 83 deleted).
% 0.44/0.61  ; Trie-index has 2,127 nodes (2,600 at peak, 2,725 added, 598 deleted).
% 0.44/0.61  ; Retrieved 1 generalization term in 217 calls.
% 0.44/0.61  ; Retrieved 117 instance terms in 117 calls.
% 0.44/0.61  ; Retrieved 1,115 unifiable terms in 1,271 calls.
% 0.44/0.61  ; 
% 0.44/0.61  ; The agenda of rows to process has 4 entries:
% 0.44/0.61  ;     1 with value 18              1 with value 25               2 with value 27
% 0.44/0.61  ; The agenda of rows to give has 60 entries:
% 0.44/0.61  ;     1 with value (4 16)          1 with value (4 27)          12 with value (4 35)
% 0.44/0.61  ;     1 with value (4 17)         11 with value (4 33)          10 with value (4 36)
% 0.44/0.61  ;     1 with value (4 18)         15 with value (4 34)           7 with value (4 37)
% 0.44/0.61  ;     1 with value (4 19)
% 0.44/0.61  Evaluation took:
% 0.44/0.61    0.089 seconds of real time
% 0.44/0.61    0.074386 seconds of user run time
% 0.44/0.61    0.014512 seconds of system run time
% 0.44/0.61    0 calls to %EVAL
% 0.44/0.61    0 page faults and
% 0.44/0.61    6,538,656 bytes consed.
% 0.44/0.61  :PROOF-FOUND
% 0.44/0.61  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-15T00:09:18
% 0.44/0.61  :PROOF-FOUND
% 0.44/0.61  * 
%------------------------------------------------------------------------------