TSTP Solution File: SWV272-2 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SWV272-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n007.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 21:32:28 EDT 2022

% Result   : Unsatisfiable 0.21s 0.52s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   15 (   8 unt;   3 nHn;  13 RR)
%            Number of literals    :   24 (   0 equ;  10 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :    8 (   8 usr;   4 con; 0-3 aty)
%            Number of variables   :   21 (   4 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_conjecture_1,negated_conjecture,
    c_in(c_Message_Omsg_OCrypt(v_K,v_X),c_union(c_Message_Oparts(v_H),c_Message_Osynth(v_H),tc_Message_Omsg),tc_Message_Omsg),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).

cnf(cls_conjecture_2,negated_conjecture,
    ~ c_in(v_X,c_union(c_Message_Oparts(v_H),c_Message_Osynth(v_H),tc_Message_Omsg),tc_Message_Omsg),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).

cnf(cls_Message_OCrypt__synth_1,axiom,
    ( ~ c_in(c_Message_Omsg_OCrypt(X,Y),c_Message_Osynth(Z),tc_Message_Omsg)
    | c_in(Y,c_Message_Osynth(Z),tc_Message_Omsg)
    | c_in(c_Message_Omsg_OCrypt(X,Y),Z,tc_Message_Omsg) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_OCrypt__synth_1) ).

cnf(cls_Message_Oparts_OBody_0,axiom,
    ( ~ c_in(c_Message_Omsg_OCrypt(X,Y),c_Message_Oparts(Z),tc_Message_Omsg)
    | c_in(Y,c_Message_Oparts(Z),tc_Message_Omsg) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Oparts_OBody_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/sandbox/benchmark/theBenchmark.p',cls_Message_Oparts_OInj_0) ).

cnf(cls_Set_OUn__iff_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_OUn__iff_0) ).

cnf(cls_Set_OUn__iff_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_OUn__iff_1) ).

cnf(cls_Set_OUn__iff_2,axiom,
    ( ~ c_in(X,Y,Z)
    | c_in(X,c_union(U,Y,Z),Z) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OUn__iff_2) ).

cnf(10,plain,
    ~ c_in(v_X,c_Message_Oparts(v_H),tc_Message_Omsg),
    inference('UR-RESOLVE',[status(thm)],[cls_Set_OUn__iff_1,cls_conjecture_2]) ).

cnf(12,plain,
    ~ c_in(v_X,c_Message_Osynth(v_H),tc_Message_Omsg),
    inference('UR-RESOLVE',[status(thm)],[cls_Set_OUn__iff_2,cls_conjecture_2]) ).

cnf(14,plain,
    ( c_in(c_Message_Omsg_OCrypt(v_K,v_X),c_Message_Osynth(v_H),tc_Message_Omsg)
    | c_in(c_Message_Omsg_OCrypt(v_K,v_X),c_Message_Oparts(v_H),tc_Message_Omsg) ),
    inference('HYPERRESOLVE',[status(thm)],[cls_Set_OUn__iff_0,cls_conjecture_1]) ).

cnf(17,plain,
    ~ c_in(c_Message_Omsg_OCrypt(X,v_X),c_Message_Oparts(v_H),tc_Message_Omsg),
    inference('UR-RESOLVE',[status(thm)],[cls_Message_Oparts_OBody_0,10]) ).

cnf(18,plain,
    c_in(c_Message_Omsg_OCrypt(v_K,v_X),c_Message_Osynth(v_H),tc_Message_Omsg),
    inference('REWRITE',[status(thm)],[14,17]) ).

cnf(33,plain,
    c_in(c_Message_Omsg_OCrypt(v_K,v_X),v_H,tc_Message_Omsg),
    inference('UR-RESOLVE',[status(thm)],[cls_Message_OCrypt__synth_1,18,12]) ).

cnf(37,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[cls_Message_Oparts_OInj_0,33]),17]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : SWV272-2 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13  % Command  : run-snark %s %d
% 0.13/0.35  % Computer : n007.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 600
% 0.13/0.35  % DateTime : Wed Jun 15 16:35:25 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.21/0.47  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.48  * 
% 0.21/0.48  * 
% 0.21/0.49  #<PACKAGE "SNARK-USER">
% 0.21/0.49  * 
% 0.21/0.49  SNARK-TPTP-OPTIONS
% 0.21/0.49  * 
% 0.21/0.49  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.49   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.49   (USE-FACTORING :POS)
% 0.21/0.49   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.49   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.49   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.49   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.49   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.49   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.49   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.49   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.49   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.49   (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.49  * 
% 0.21/0.49  "."
% 0.21/0.49  * 
% 0.21/0.49  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-15T16:35:26
% 0.21/0.49  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n007.cluster.edu at 2022-06-15T16:35:26
% 0.21/0.52  
% 0.21/0.52  
% 0.21/0.52  #||
% 0.21/0.52  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.52  % SZS output start Refutation
% See solution above
% 0.21/0.53  ||#
% 0.21/0.53  
% 0.21/0.53  ; Summary of computation:
% 0.21/0.53  ;        53 formulas have been input or derived (from 14 formulas).
% 0.21/0.53  ;        37 (70%) were retained.  Of these,
% 0.21/0.53  ;            2 ( 5%) were simplified or subsumed later,
% 0.21/0.53  ;           35 (95%) are still being kept.
% 0.21/0.53  ; 
% 0.21/0.53  ; Run time in seconds excluding printing time:
% 0.21/0.53  ;     0.002   6%   Read assertion file          (1 call)
% 0.21/0.53  ;     0.001   3%   Assert                       (8 calls)
% 0.21/0.53  ;     0.002   6%   Process new row              (42 calls)
% 0.21/0.53  ;     0.004  12%   Resolution                   (26 calls)
% 0.21/0.53  ;     0.000   0%   Paramodulation               (13 calls)
% 0.21/0.53  ;     0.000   0%   Condensing                   (7 calls)
% 0.21/0.53  ;     0.000   0%   Forward subsumption          (7 calls)
% 0.21/0.53  ;     0.000   0%   Backward subsumption         (7 calls)
% 0.21/0.53  ;     0.000   0%   Clause clause subsumption    (3 calls)
% 0.21/0.53  ;     0.001   3%   Forward simplification       (42 calls)
% 0.21/0.53  ;     0.000   0%   Backward simplification      (37 calls)
% 0.21/0.53  ;     0.000   0%   Ordering                     (1 call)
% 0.21/0.53  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.21/0.53  ;     0.000   0%   Purity testing               (1 call)
% 0.21/0.53  ;     0.023  70%   Other
% 0.21/0.53  ;     0.033        Total
% 0.21/0.53  ;     0.035        Real time
% 0.21/0.53  ; 
% 0.21/0.53  ; Term-hash-array has 76 terms in all.
% 0.21/0.53  ; Feature-vector-row-index has 6 entries (7 at peak, 7 added, 1 deleted).
% 0.21/0.53  ; Feature-vector-row-index has 19 nodes (36 at peak, 36 added, 17 deleted).
% 0.21/0.53  ;  Retrieved 1 possibly forward subsuming row in 7 calls.
% 0.21/0.53  ;  Retrieved 2 possibly backward subsumed rows in 7 calls.
% 0.21/0.53  ; Path-index has 78 entries (78 at peak, 81 added, 3 deleted).
% 0.21/0.53  ; Path-index has 135 nodes (135 at peak, 135 added, 0 deleted).
% 0.21/0.53  ; Trie-index has 78 entries (78 at peak, 81 added, 3 deleted).
% 0.21/0.53  ; Trie-index has 288 nodes (288 at peak, 299 added, 11 deleted).
% 0.21/0.53  ; Retrieved 7 generalization terms in 51 calls.
% 0.21/0.53  ; Retrieved 31 instance terms in 29 calls.
% 0.21/0.53  ; Retrieved 342 unifiable terms in 114 calls.
% 0.21/0.53  ; 
% 0.21/0.53  ; The agenda of rows to process has 4 entries:
% 0.21/0.53  ;     4 with value 14
% 0.21/0.53  ; The agenda of rows to give has 22 entries:
% 0.21/0.53  ;     1 with value (4 11)          7 with value (4 14)           8 with value (4 19)
% 0.21/0.53  ;     1 with value (4 12)          2 with value (4 15)           1 with value (4 22)
% 0.21/0.53  ;     1 with value (4 13)          1 with value (4 17)
% 0.21/0.53  Evaluation took:
% 0.21/0.53    0.035 seconds of real time
% 0.21/0.53    0.03357 seconds of user run time
% 0.21/0.53    0.001683 seconds of system run time
% 0.21/0.53    0 calls to %EVAL
% 0.21/0.53    0 page faults and
% 0.21/0.53    2,583,640 bytes consed.
% 0.21/0.53  :PROOF-FOUND
% 0.21/0.53  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-15T16:35:26
% 0.21/0.53  :PROOF-FOUND
% 0.21/0.53  * 
%------------------------------------------------------------------------------