TSTP Solution File: PUZ037-3 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : PUZ037-3 : TPTP v8.1.0. Released v2.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n026.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 : Mon Jul 18 18:26:48 EDT 2022

% Result   : Unsatisfiable 1.37s 1.59s
% Output   : Refutation 1.37s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    6
% Syntax   : Number of clauses     :   11 (   7 unt;   0 nHn;  11 RR)
%            Number of literals    :   15 (   0 equ;   7 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-54 aty)
%            Number of functors    :    6 (   6 usr;   6 con; 0-0 aty)
%            Number of variables   :  216 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(make_like_this,negated_conjecture,
    ~ state(b,b,b,b,b,b,b,b,b,r,r,r,g,g,g,o,o,o,y,y,y,r,r,r,g,g,g,o,o,o,y,y,y,r,r,r,g,g,g,o,o,o,y,y,y,w,w,w,w,w,w,w,w,w),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',make_like_this) ).

cnf(start_with_this,hypothesis,
    state(b,r,r,w,w,w,y,b,b,g,y,r,b,g,g,o,g,y,w,w,r,g,o,r,b,g,g,o,r,b,y,y,r,g,o,g,o,o,o,y,r,b,y,y,r,w,w,w,b,b,y,w,o,o),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',start_with_this) ).

cnf(mzy,axiom,
    ( ~ state(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2,V2,W2,X3,Y3,Z3,U3,V3,W3,X4,Y4,Z4,U4,V4,W4,X5,Y5,Z5,U5,V5,W5,X6,Y6,Z6,U6,V6,W6,X7,Y7,Z7,U7,V7,W7,X8,Y8,Z8,U8,V8,W8)
    | state(X,Y,Z,V2,V4,V6,X1,Y1,Z1,U1,W,W1,X2,Y2,Z2,U2,Z8,W2,X3,Y3,Z3,U3,V,W3,X4,Y4,Z4,U4,Y8,W4,X5,Y5,Z5,U5,U,W5,X6,Y6,Z6,U6,X8,W6,X7,Y7,Z7,U7,V7,W7,V1,V3,V5,U8,V8,W8) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mzy) ).

cnf(bzy,axiom,
    ( ~ state(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2,V2,W2,X3,Y3,Z3,U3,V3,W3,X4,Y4,Z4,U4,V4,W4,X5,Y5,Z5,U5,V5,W5,X6,Y6,Z6,U6,V6,W6,X7,Y7,Z7,U7,V7,W7,X8,Y8,Z8,U8,V8,W8)
    | state(W2,W4,W6,U,V,W,X1,Y1,Z1,Z,V1,W1,X2,Y2,Z2,U2,V2,W8,X7,X5,X3,Y,V3,W3,X4,Y4,Z4,U4,V4,V8,Y7,Y5,Y3,X,V5,W5,X6,Y6,Z6,U6,V6,U8,Z7,Z5,Z3,U7,V7,W7,X8,Y8,Z8,U1,U3,U5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bzy) ).

cnf(lzx,axiom,
    ( ~ state(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2,V2,W2,X3,Y3,Z3,U3,V3,W3,X4,Y4,Z4,U4,V4,W4,X5,Y5,Z5,U5,V5,W5,X6,Y6,Z6,U6,V6,W6,X7,Y7,Z7,U7,V7,W7,X8,Y8,Z8,U8,V8,W8)
    | state(X2,Y,Z,X4,V,W,X6,Y1,Z1,W1,W3,W5,U7,Y2,Z2,U2,V2,W2,X3,Y3,X1,V1,V3,V5,X8,Y4,Z4,U4,V4,W4,X5,Y5,U,U1,U3,U5,U8,Y6,Z6,U6,V6,W6,X7,Y7,X,Z7,V7,W7,Z5,Y8,Z8,Z3,V8,W8) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lzx) ).

cnf(byx,axiom,
    ( ~ state(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2,V2,W2,X3,Y3,Z3,U3,V3,W3,X4,Y4,Z4,U4,V4,W4,X5,Y5,Z5,U5,V5,W5,X6,Y6,Z6,U6,V6,W6,X7,Y7,Z7,U7,V7,W7,X8,Y8,Z8,U8,V8,W8)
    | state(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2,V2,W2,X3,Y3,Z3,U3,V3,W3,X4,Y4,Z4,U4,V4,W4,X5,Y5,Z5,X7,Y7,Z7,U5,V5,W5,X6,Y6,Z6,U6,V6,W6,U8,X8,U7,V8,Y8,V7,W8,Z8,W7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',byx) ).

cnf(29,plain,
    state(b,r,r,g,r,r,y,b,b,g,w,r,b,g,g,o,y,y,w,w,r,g,w,r,b,g,g,o,b,b,y,y,r,g,w,g,o,o,o,y,b,b,y,y,r,w,w,w,y,o,o,w,o,o),
    inference('HYPERRESOLVE',[status(thm)],[mzy,start_with_this]) ).

cnf(34,plain,
    ~ state(y,b,b,y,b,b,y,b,b,r,r,r,b,g,g,o,o,o,y,y,w,r,r,r,b,g,g,o,o,o,y,y,w,r,r,r,b,g,g,o,o,o,y,y,w,g,w,w,g,w,w,g,w,w),
    inference('UR-RESOLVE',[status(thm)],[lzx,make_like_this]) ).

cnf(198,plain,
    state(y,b,b,g,r,r,y,b,b,r,w,r,b,g,g,o,y,o,y,y,w,r,w,r,b,g,g,o,b,o,y,y,w,b,w,g,o,o,o,y,b,w,r,r,r,w,w,w,y,o,o,g,g,g),
    inference('HYPERRESOLVE',[status(thm)],[bzy,29]) ).

cnf(277,plain,
    ~ state(y,b,b,y,b,b,y,b,b,r,r,r,b,g,g,o,o,o,y,y,w,r,r,r,b,g,g,o,o,o,y,y,w,b,g,g,o,o,o,y,y,w,r,r,r,w,w,w,w,w,w,g,g,g),
    inference('UR-RESOLVE',[status(thm)],[byx,34]) ).

cnf(2610,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[mzy,198]),277]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : PUZ037-3 : TPTP v8.1.0. Released v2.3.0.
% 0.10/0.13  % Command  : run-snark %s %d
% 0.13/0.34  % Computer : n026.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 : Sat May 28 19:56:09 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 2022-05-28T19:56:09
% 0.19/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n026.cluster.edu at 2022-05-28T19:56:09
% 1.37/1.59  
% 1.37/1.59  
% 1.37/1.59  #||
% 1.37/1.59  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.37/1.59  % SZS output start Refutation
% See solution above
% 1.37/1.59  ||#
% 1.37/1.59  
% 1.37/1.59  ; Summary of computation:
% 1.37/1.59  ;      4988 formulas have been input or derived (from 199 formulas).
% 1.37/1.59  ;      2610 (52%) were retained.  Of these,
% 1.37/1.59  ;         2610 (100%) are still being kept.
% 1.37/1.59  ; 
% 1.37/1.59  ; Run time in seconds excluding printing time:
% 1.37/1.59  ;     0.023   2%   Read assertion file          (1 call)
% 1.37/1.59  ;     0.001   0%   Assert                       (20 calls)
% 1.37/1.59  ;     0.305  27%   Process new row              (4,966 calls)
% 1.37/1.59  ;     0.606  54%   Resolution                   (396 calls)
% 1.37/1.59  ;     0.003   0%   Paramodulation               (198 calls)
% 1.37/1.59  ;     0.004   0%   Condensing                   (18 calls)
% 1.37/1.59  ;     0.015   1%   Forward subsumption          (18 calls)
% 1.37/1.59  ;     0.006   1%   Backward subsumption         (18 calls)
% 1.37/1.59  ;     0.025   2%   Clause clause subsumption    (306 calls)
% 1.37/1.59  ;     0.079   7%   Forward simplification       (4,966 calls)
% 1.37/1.59  ;     0.017   2%   Backward simplification      (2,610 calls)
% 1.37/1.59  ;     0.000   0%   Sortal reasoning             (32 calls)
% 1.37/1.59  ;     0.001   0%   Purity testing               (1 call)
% 1.37/1.59  ;     0.035   3%   Other
% 1.37/1.59  ;     1.120        Total
% 1.37/1.59  ;     1.121        Real time
% 1.37/1.59  ; 
% 1.37/1.59  ; Term-hash-array has 2,610 terms in all.
% 1.37/1.59  ; Feature-vector-row-index has 18 entries (18 at peak, 18 added, 0 deleted).
% 1.37/1.59  ; Feature-vector-row-index has 3 nodes (3 at peak, 3 added, 0 deleted).
% 1.37/1.59  ;  Retrieved 153 possibly forward subsuming rows in 18 calls.
% 1.37/1.59  ;  Retrieved 153 possibly backward subsumed rows in 18 calls.
% 1.37/1.59  ; Path-index has 2,616 entries (2,616 at peak, 2,616 added, 0 deleted).
% 1.37/1.59  ; Path-index has 440 nodes (440 at peak, 440 added, 0 deleted).
% 1.37/1.59  ; Trie-index has 2,616 entries (2,616 at peak, 2,616 added, 0 deleted).
% 1.37/1.59  ; Trie-index has 111,528 nodes (111,528 at peak, 111,528 added, 0 deleted).
% 1.37/1.59  ; Retrieved 2,357 generalization terms in 4,983 calls.
% 1.37/1.59  ; Retrieved 2,591 instance terms in 2,591 calls.
% 1.37/1.59  ; Retrieved 34,624 unifiable terms in 4,896 calls.
% 1.37/1.59  ; 
% 1.37/1.59  ; The agenda of rows to process has 22 entries:
% 1.37/1.59  ;    22 with value 59
% 1.37/1.59  ; The agenda of rows to give has 2411 entries:
% 1.37/1.59  ;   380 with value (4 58)       2031 with value (4 59)
% 1.37/1.59  Evaluation took:
% 1.37/1.59    1.122 seconds of real time
% 1.37/1.59    1.078212 seconds of user run time
% 1.37/1.59    0.043825 seconds of system run time
% 1.37/1.59    [Run times include 0.109 seconds GC run time.]
% 1.37/1.59    0 calls to %EVAL
% 1.37/1.59    0 page faults and
% 1.37/1.59    71,681,312 bytes consed.
% 1.37/1.59  :PROOF-FOUND
% 1.37/1.59  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-05-28T19:56:10
% 1.37/1.59  :PROOF-FOUND
% 1.37/1.59  * 
%------------------------------------------------------------------------------