TSTP Solution File: SWV250-2 by SNARK---20120808r022

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%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SWV250-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n021.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 21:32:19 EDT 2022

% Result   : Unsatisfiable 0.20s 0.51s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   11 (   8 unt;   1 nHn;   6 RR)
%            Number of literals    :   15 (   3 equ;   6 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :    7 (   7 usr;   4 con; 0-3 aty)
%            Number of variables   :   18 (   2 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_conjecture_2,negated_conjecture,
    c_in(v_x,c_Message_Oanalz(c_union(c_Message_Osynth(c_Message_Oanalz(v_G)),v_H,tc_Message_Omsg)),tc_Message_Omsg),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).

cnf(cls_conjecture_3,negated_conjecture,
    ~ c_in(v_x,c_union(c_Message_Osynth(c_Message_Oanalz(v_G)),c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).

cnf(cls_Message_Oanalz__analz__Un_0,axiom,
    c_Message_Oanalz(c_union(c_Message_Oanalz(X),Y,tc_Message_Omsg)) = c_Message_Oanalz(c_union(X,Y,tc_Message_Omsg)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Oanalz__analz__Un_0) ).

cnf(cls_Message_Oanalz__synth__Un_0,axiom,
    c_Message_Oanalz(c_union(c_Message_Osynth(X),Y,tc_Message_Omsg)) = c_union(c_Message_Oanalz(c_union(X,Y,tc_Message_Omsg)),c_Message_Osynth(X),tc_Message_Omsg),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Oanalz__synth__Un_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/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',cls_Set_OUn__iff_2) ).

cnf(11,plain,
    ~ c_in(v_x,c_Message_Osynth(c_Message_Oanalz(v_G)),tc_Message_Omsg),
    inference('UR-RESOLVE',[status(thm)],[cls_Set_OUn__iff_1,cls_conjecture_3]) ).

cnf(12,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_OUn__iff_2,cls_conjecture_3]) ).

cnf(15,plain,
    c_Message_Oanalz(c_union(c_Message_Osynth(c_Message_Oanalz(X)),Y,tc_Message_Omsg)) = c_union(c_Message_Oanalz(c_union(X,Y,tc_Message_Omsg)),c_Message_Osynth(c_Message_Oanalz(X)),tc_Message_Omsg),
    inference('PARAMODULATE',[status(thm)],[cls_Message_Oanalz__synth__Un_0,cls_Message_Oanalz__analz__Un_0,theory(equality)]) ).

cnf(21,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[cls_Set_OUn__iff_0,12,11]),cls_conjecture_2,15,theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SWV250-2 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13  % Command  : run-snark %s %d
% 0.14/0.34  % Computer : n021.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 600
% 0.14/0.34  % DateTime : Tue Jun 14 16:24:28 EDT 2022
% 0.14/0.34  % CPUTime  : 
% 0.20/0.46  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.47  * 
% 0.20/0.47  * 
% 0.20/0.48  #<PACKAGE "SNARK-USER">
% 0.20/0.48  * 
% 0.20/0.48  SNARK-TPTP-OPTIONS
% 0.20/0.48  * 
% 0.20/0.48  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.48   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.48   (USE-FACTORING :POS)
% 0.20/0.48   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.48   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.48   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.48   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.48   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.48   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.48   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.48   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.48   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.48   (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.48  * 
% 0.20/0.48  "."
% 0.20/0.48  * 
% 0.20/0.48  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-14T16:24:28
% 0.20/0.48  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n021.cluster.edu at 2022-06-14T16:24:28
% 0.20/0.51  
% 0.20/0.51  
% 0.20/0.51  #||
% 0.20/0.51  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.51  % SZS output start Refutation
% See solution above
% 0.20/0.51  ||#
% 0.20/0.51  
% 0.20/0.51  ; Summary of computation:
% 0.20/0.51  ;        31 formulas have been input or derived (from 10 formulas).
% 0.20/0.51  ;        21 (68%) were retained.  Of these,
% 0.20/0.51  ;           21 (100%) are still being kept.
% 0.20/0.51  ; 
% 0.20/0.51  ; Run time in seconds excluding printing time:
% 0.20/0.51  ;     0.002   7%   Read assertion file          (1 call)
% 0.20/0.51  ;     0.001   3%   Assert                       (7 calls)
% 0.20/0.51  ;     0.005  17%   Process new row              (26 calls)
% 0.20/0.51  ;     0.001   3%   Resolution                   (18 calls)
% 0.20/0.51  ;     0.000   0%   Paramodulation               (9 calls)
% 0.20/0.51  ;     0.000   0%   Condensing                   (4 calls)
% 0.20/0.51  ;     0.000   0%   Forward subsumption          (4 calls)
% 0.20/0.51  ;     0.000   0%   Backward subsumption         (4 calls)
% 0.20/0.51  ;     0.000   0%   Clause clause subsumption    (2 calls)
% 0.20/0.51  ;     0.000   0%   Forward simplification       (26 calls)
% 0.20/0.51  ;     0.000   0%   Backward simplification      (21 calls)
% 0.20/0.51  ;     0.000   0%   Ordering                     (22 calls)
% 0.20/0.51  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.20/0.51  ;     0.000   0%   Purity testing               (1 call)
% 0.20/0.51  ;     0.021  70%   Other
% 0.20/0.51  ;     0.030        Total
% 0.20/0.51  ;     0.033        Real time
% 0.20/0.51  ; 
% 0.20/0.51  ; Term-hash-array has 70 terms in all.
% 0.20/0.51  ; Feature-vector-row-index has 4 entries (4 at peak, 4 added, 0 deleted).
% 0.20/0.51  ; Feature-vector-row-index has 22 nodes (22 at peak, 22 added, 0 deleted).
% 0.20/0.51  ;  Retrieved 1 possibly forward subsuming row in 4 calls.
% 0.20/0.51  ;  Retrieved 1 possibly backward subsumed row in 4 calls.
% 0.20/0.51  ; Path-index has 74 entries (74 at peak, 74 added, 0 deleted).
% 0.20/0.51  ; Path-index has 335 nodes (335 at peak, 335 added, 0 deleted).
% 0.20/0.51  ; Trie-index has 74 entries (74 at peak, 74 added, 0 deleted).
% 0.20/0.51  ; Trie-index has 401 nodes (401 at peak, 401 added, 0 deleted).
% 0.20/0.51  ; Retrieved 7 generalization terms in 101 calls.
% 0.20/0.51  ; Retrieved 16 instance terms in 16 calls.
% 0.20/0.51  ; Retrieved 156 unifiable terms in 78 calls.
% 0.20/0.51  ; 
% 0.20/0.51  ; The agenda of rows to process has 3 entries:
% 0.20/0.51  ;     1 with value 21              2 with value 27
% 0.20/0.51  ; The agenda of rows to give has 11 entries:
% 0.20/0.51  ;     1 with value (4 17)          2 with value (4 24)           1 with value (4 32)
% 0.20/0.51  ;     2 with value (4 20)          2 with value (4 25)           1 with value (4 34)
% 0.20/0.51  ;     1 with value (4 23)          1 with value (4 31)
% 0.20/0.51  Evaluation took:
% 0.20/0.51    0.033 seconds of real time
% 0.20/0.51    0.028837 seconds of user run time
% 0.20/0.51    0.003852 seconds of system run time
% 0.20/0.51    0 calls to %EVAL
% 0.20/0.51    0 page faults and
% 0.20/0.51    2,296,400 bytes consed.
% 0.20/0.51  :PROOF-FOUND
% 0.20/0.51  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-14T16:24:28
% 0.20/0.51  :PROOF-FOUND
% 0.20/0.51  * 
%------------------------------------------------------------------------------