TSTP Solution File: SWV245-2 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SWV245-2 : 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 21:32:18 EDT 2022

% Result   : Unsatisfiable 0.19s 0.52s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   16 (   9 unt;   3 nHn;  13 RR)
%            Number of literals    :   25 (   0 equ;  10 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    :    9 (   9 usr;   5 con; 0-3 aty)
%            Number of variables   :   22 (   5 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_conjecture_1,negated_conjecture,
    c_in(c_Message_Omsg_OMPair(v_X,v_Y),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/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).

cnf(cls_conjecture_2,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/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).

cnf(cls_Message_OMPair__analz_1,axiom,
    ( ~ c_in(c_Message_Omsg_OMPair(X,Y),c_Message_Oanalz(Z),tc_Message_Omsg)
    | c_in(X,c_Message_Oanalz(Z),tc_Message_Omsg) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_OMPair__analz_1) ).

cnf(cls_Message_OMPair__synth_1,axiom,
    ( ~ c_in(c_Message_Omsg_OMPair(X,Y),c_Message_Osynth(Z),tc_Message_Omsg)
    | c_in(X,c_Message_Osynth(Z),tc_Message_Omsg)
    | c_in(c_Message_Omsg_OMPair(X,Y),Z,tc_Message_Omsg) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_OMPair__synth_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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',cls_Set_OUnE_0) ).

cnf(9,plain,
    ~ c_in(v_X,c_Message_Osynth(v_G),tc_Message_Omsg),
    inference('UR-RESOLVE',[status(thm)],[cls_Set_OUnCI_0,cls_conjecture_2]) ).

cnf(10,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_2]) ).

cnf(14,plain,
    ( c_in(c_Message_Omsg_OMPair(v_X,v_Y),c_Message_Osynth(v_G),tc_Message_Omsg)
    | c_in(c_Message_Omsg_OMPair(v_X,v_Y),c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg) ),
    inference('HYPERRESOLVE',[status(thm)],[cls_Set_OUnE_0,cls_conjecture_1]) ).

cnf(20,plain,
    ~ c_in(c_Message_Omsg_OMPair(v_X,X),c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg),
    inference('UR-RESOLVE',[status(thm)],[cls_Message_OMPair__analz_1,10]) ).

cnf(21,plain,
    c_in(c_Message_Omsg_OMPair(v_X,v_Y),c_Message_Osynth(v_G),tc_Message_Omsg),
    inference('REWRITE',[status(thm)],[14,20]) ).

cnf(26,plain,
    c_in(c_Message_Omsg_OMPair(v_X,v_Y),v_G,tc_Message_Omsg),
    inference('UR-RESOLVE',[status(thm)],[cls_Message_OMPair__synth_1,21,9]) ).

cnf(31,plain,
    c_in(c_Message_Omsg_OMPair(v_X,v_Y),c_union(v_G,X,tc_Message_Omsg),tc_Message_Omsg),
    inference('HYPERRESOLVE',[status(thm)],[cls_Set_OUnCI_1,26]) ).

cnf(148,plain,
    $false,
    inference('UR-RESOLVE',[status(thm)],[cls_Message_Oanalz_OInj_0,20,31]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem  : SWV245-2 : TPTP v8.1.0. Released v3.2.0.
% 0.04/0.13  % 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 : Thu Jun 16 00:09:20 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.19/0.45  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.46  * 
% 0.19/0.46  * 
% 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/sandbox2/benchmark/theBenchmark.p 2022-06-16T00:09:20
% 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 2022-06-16T00:09:20
% 0.19/0.52  
% 0.19/0.52  
% 0.19/0.52  #||
% 0.19/0.52  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.52  % SZS output start Refutation
% See solution above
% 0.19/0.52  ||#
% 0.19/0.52  
% 0.19/0.52  ; Summary of computation:
% 0.19/0.52  ;       210 formulas have been input or derived (from 28 formulas).
% 0.19/0.52  ;       148 (70%) were retained.  Of these,
% 0.19/0.52  ;            2 ( 1%) were simplified or subsumed later,
% 0.19/0.52  ;          146 (99%) are still being kept.
% 0.19/0.52  ; 
% 0.19/0.52  ; Run time in seconds excluding printing time:
% 0.19/0.52  ;     0.002   4%   Read assertion file          (1 call)
% 0.19/0.52  ;     0.000   0%   Assert                       (8 calls)
% 0.19/0.52  ;     0.010  20%   Process new row              (185 calls)
% 0.19/0.52  ;     0.004   8%   Resolution                   (54 calls)
% 0.19/0.52  ;     0.000   0%   Paramodulation               (27 calls)
% 0.19/0.52  ;     0.000   0%   Condensing                   (7 calls)
% 0.19/0.52  ;     0.000   0%   Forward subsumption          (7 calls)
% 0.19/0.52  ;     0.001   2%   Backward subsumption         (7 calls)
% 0.19/0.52  ;     0.000   0%   Clause clause subsumption    (3 calls)
% 0.19/0.52  ;     0.006  12%   Forward simplification       (185 calls)
% 0.19/0.52  ;     0.002   4%   Backward simplification      (148 calls)
% 0.19/0.52  ;     0.000   0%   Ordering                     (2 calls)
% 0.19/0.52  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.19/0.52  ;     0.000   0%   Purity testing               (1 call)
% 0.19/0.52  ;     0.024  49%   Other
% 0.19/0.52  ;     0.049        Total
% 0.19/0.52  ;     0.052        Real time
% 0.19/0.52  ; 
% 0.19/0.52  ; Term-hash-array has 291 terms in all.
% 0.19/0.52  ; Feature-vector-row-index has 6 entries (7 at peak, 7 added, 1 deleted).
% 0.19/0.52  ; Feature-vector-row-index has 19 nodes (41 at peak, 41 added, 22 deleted).
% 0.19/0.52  ;  Retrieved 1 possibly forward subsuming row in 7 calls.
% 0.19/0.52  ;  Retrieved 2 possibly backward subsumed rows in 7 calls.
% 0.19/0.52  ; Path-index has 294 entries (294 at peak, 297 added, 3 deleted).
% 0.19/0.52  ; Path-index has 275 nodes (275 at peak, 275 added, 0 deleted).
% 0.19/0.52  ; Trie-index has 294 entries (294 at peak, 297 added, 3 deleted).
% 0.19/0.52  ; Trie-index has 1,339 nodes (1,339 at peak, 1,355 added, 16 deleted).
% 0.19/0.52  ; Retrieved 38 generalization terms in 195 calls.
% 0.19/0.52  ; Retrieved 142 instance terms in 140 calls.
% 0.19/0.52  ; Retrieved 1,330 unifiable terms in 307 calls.
% 0.19/0.52  ; 
% 0.19/0.52  ; The agenda of rows to process has 4 entries:
% 0.19/0.52  ;     1 with value 12              1 with value 18               1 with value 24
% 0.19/0.52  ;     1 with value 14
% 0.19/0.52  ; The agenda of rows to give has 119 entries:
% 0.19/0.52  ;     8 with value (4 15)          6 with value (4 20)          11 with value (4 24)
% 0.19/0.52  ;     3 with value (4 16)         19 with value (4 21)           4 with value (4 26)
% 0.19/0.52  ;    13 with value (4 17)          2 with value (4 22)           8 with value (4 28)
% 0.19/0.52  ;    15 with value (4 18)         12 with value (4 23)           1 with value (4 29)
% 0.19/0.52  ;    17 with value (4 19)
% 0.19/0.52  Evaluation took:
% 0.19/0.52    0.052 seconds of real time
% 0.19/0.52    0.046381 seconds of user run time
% 0.19/0.52    0.006159 seconds of system run time
% 0.19/0.52    0 calls to %EVAL
% 0.19/0.52    0 page faults and
% 0.19/0.52    3,627,336 bytes consed.
% 0.19/0.52  :PROOF-FOUND
% 0.19/0.52  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-16T00:09:20
% 0.19/0.52  :PROOF-FOUND
% 0.19/0.52  * 
%------------------------------------------------------------------------------