TSTP Solution File: PUZ037-2 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : PUZ037-2 : TPTP v8.1.0. Released v2.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n028.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 18:26:47 EDT 2022

% Result   : Unsatisfiable 0.38s 0.62s
% Output   : Refutation 0.38s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    5
% Syntax   : Number of clauses     :    8 (   5 unt;   0 nHn;   8 RR)
%            Number of literals    :   11 (   0 equ;   5 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   :  162 (   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/sandbox/benchmark/theBenchmark.p',make_like_this) ).

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

cnf(mxy,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,X4,Y4,Z4,U4,V4,W4,X5,Y5,Z5,U3,V3,W3,U5,V5,W5,X6,Y6,Z6,U6,V6,W6,X7,Y7,Z7,U7,V7,W7,X8,Y8,Z8,U8,V8,W8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mxy) ).

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/sandbox/benchmark/theBenchmark.p',lzx) ).

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

cnf(23,plain,
    state(y,b,y,y,b,y,y,b,y,r,r,r,b,g,b,o,o,o,w,y,w,r,r,r,b,g,b,o,o,o,w,y,w,r,r,r,b,g,b,o,o,o,w,y,w,g,w,g,g,w,g,g,w,g),
    inference('HYPERRESOLVE',[status(thm)],[mxy,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(99,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[rzx,23]),34]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : PUZ037-2 : TPTP v8.1.0. Released v2.3.0.
% 0.07/0.13  % Command  : run-snark %s %d
% 0.13/0.34  % Computer : n028.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 : Sun May 29 00:30:48 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.19/0.46  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.47  * 
% 0.19/0.47  * 
% 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/sandbox/benchmark/theBenchmark.p 2022-05-29T00:30:48
% 0.19/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n028.cluster.edu at 2022-05-29T00:30:48
% 0.38/0.62  
% 0.38/0.62  
% 0.38/0.62  #||
% 0.38/0.62  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.38/0.62  % SZS output start Refutation
% See solution above
% 0.38/0.62  ||#
% 0.38/0.62  
% 0.38/0.62  ; Summary of computation:
% 0.38/0.62  ;       164 formulas have been input or derived (from 24 formulas).
% 0.38/0.62  ;        99 (60%) were retained.  Of these,
% 0.38/0.62  ;           99 (100%) are still being kept.
% 0.38/0.62  ; 
% 0.38/0.62  ; Run time in seconds excluding printing time:
% 0.38/0.62  ;     0.023  16%   Read assertion file          (1 call)
% 0.38/0.62  ;     0.002   1%   Assert                       (20 calls)
% 0.38/0.62  ;     0.013   9%   Process new row              (138 calls)
% 0.38/0.62  ;     0.025  17%   Resolution                   (46 calls)
% 0.38/0.62  ;     0.000   0%   Paramodulation               (23 calls)
% 0.38/0.62  ;     0.004   3%   Condensing                   (18 calls)
% 0.38/0.62  ;     0.010   7%   Forward subsumption          (18 calls)
% 0.38/0.62  ;     0.013   9%   Backward subsumption         (18 calls)
% 0.38/0.62  ;     0.018  12%   Clause clause subsumption    (306 calls)
% 0.38/0.62  ;     0.012   8%   Forward simplification       (138 calls)
% 0.38/0.62  ;     0.003   2%   Backward simplification      (99 calls)
% 0.38/0.62  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.38/0.62  ;     0.000   0%   Purity testing               (1 call)
% 0.38/0.62  ;     0.022  15%   Other
% 0.38/0.62  ;     0.145        Total
% 0.38/0.62  ;     0.150        Real time
% 0.38/0.62  ; 
% 0.38/0.62  ; Term-hash-array has 99 terms in all.
% 0.38/0.62  ; Feature-vector-row-index has 18 entries (18 at peak, 18 added, 0 deleted).
% 0.38/0.62  ; Feature-vector-row-index has 3 nodes (3 at peak, 3 added, 0 deleted).
% 0.38/0.62  ;  Retrieved 153 possibly forward subsuming rows in 18 calls.
% 0.38/0.62  ;  Retrieved 153 possibly backward subsumed rows in 18 calls.
% 0.38/0.62  ; Path-index has 105 entries (105 at peak, 105 added, 0 deleted).
% 0.38/0.62  ; Path-index has 431 nodes (431 at peak, 431 added, 0 deleted).
% 0.38/0.62  ; Trie-index has 105 entries (105 at peak, 105 added, 0 deleted).
% 0.38/0.62  ; Trie-index has 3,680 nodes (3,680 at peak, 3,680 added, 0 deleted).
% 0.38/0.62  ; Retrieved 40 generalization terms in 155 calls.
% 0.38/0.62  ; Retrieved 80 instance terms in 80 calls.
% 0.38/0.62  ; Retrieved 1,676 unifiable terms in 171 calls.
% 0.38/0.62  ; 
% 0.38/0.62  ; The agenda of rows to process has 26 entries:
% 0.38/0.62  ;    26 with value 58
% 0.38/0.62  ; The agenda of rows to give has 75 entries:
% 0.38/0.62  ;    33 with value (4 57)         42 with value (4 58)
% 0.38/0.62  Evaluation took:
% 0.38/0.62    0.15 seconds of real time
% 0.38/0.62    0.140194 seconds of user run time
% 0.38/0.62    0.008141 seconds of system run time
% 0.38/0.62    0 calls to %EVAL
% 0.38/0.62    0 page faults and
% 0.38/0.62    7,099,752 bytes consed.
% 0.38/0.62  :PROOF-FOUND
% 0.38/0.62  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-05-29T00:30:48
% 0.38/0.62  :PROOF-FOUND
% 0.38/0.62  * 
%------------------------------------------------------------------------------