TSTP Solution File: PUZ008-2 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : PUZ008-2 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n025.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 18:26:22 EDT 2022

% Result   : Unsatisfiable 0.19s 0.52s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   13
% Syntax   : Number of clauses     :   24 (  13 unt;   0 nHn;  24 RR)
%            Number of literals    :   35 (   0 equ;  22 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :    3 (   2 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :   10 (  10 usr;   6 con; 0-2 aty)
%            Number of variables   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(bmmmccc_x_to_mmmc_bcc,axiom,
    ( ~ banks(west(m(n3),c(n3)),east(m(n0),c(n0)),boatonwest)
    | banks(west(m(n3),c(n1)),east(m(n0),c(n2)),boatoneast) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',bmmmccc_x_to_mmmc_bcc) ).

cnf(bccc_mmm_to_c_bmmmcc,axiom,
    ( ~ banks(west(m(n0),c(n3)),east(m(n3),c(n0)),boatonwest)
    | banks(west(m(n0),c(n1)),east(m(n3),c(n2)),boatoneast) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',bccc_mmm_to_c_bmmmcc) ).

cnf(bmmmcc_c_to_mmm_bccc,axiom,
    ( ~ banks(west(m(n3),c(n2)),east(m(n0),c(n1)),boatonwest)
    | banks(west(m(n3),c(n0)),east(m(n0),c(n3)),boatoneast) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',bmmmcc_c_to_mmm_bccc) ).

cnf(bcc_mmmc_to_x_bmmmccc,axiom,
    ( ~ banks(west(m(n0),c(n2)),east(m(n3),c(n1)),boatonwest)
    | banks(west(m(n0),c(n0)),east(m(n3),c(n3)),boatoneast) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',bcc_mmmc_to_x_bmmmccc) ).

cnf(cc_bmmmc_to_bccc_mmm,axiom,
    ( ~ banks(west(m(n0),c(n2)),east(m(n3),c(n1)),boatoneast)
    | banks(west(m(n0),c(n3)),east(m(n3),c(n0)),boatonwest) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc_bmmmc_to_bccc_mmm) ).

cnf(c_bmmmcc_to_bcc_mmmc,axiom,
    ( ~ banks(west(m(n0),c(n1)),east(m(n3),c(n2)),boatoneast)
    | banks(west(m(n0),c(n2)),east(m(n3),c(n1)),boatonwest) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_bmmmcc_to_bcc_mmmc) ).

cnf(mmm_bccc_to_bmmmc_cc,axiom,
    ( ~ banks(west(m(n3),c(n0)),east(m(n0),c(n3)),boatoneast)
    | banks(west(m(n3),c(n1)),east(m(n0),c(n2)),boatonwest) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mmm_bccc_to_bmmmc_cc) ).

cnf(mmmc_bcc_to_bmmmcc_c,axiom,
    ( ~ banks(west(m(n3),c(n1)),east(m(n0),c(n2)),boatoneast)
    | banks(west(m(n3),c(n2)),east(m(n0),c(n1)),boatonwest) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mmmc_bcc_to_bmmmcc_c) ).

cnf(bmmmc_cc_to_mc_bmmcc,axiom,
    ( ~ banks(west(m(n3),c(n1)),east(m(n0),c(n2)),boatonwest)
    | banks(west(m(n1),c(n1)),east(m(n2),c(n2)),boatoneast) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',bmmmc_cc_to_mc_bmmcc) ).

cnf(bmmcc_mc_to_cc_bmmmc,axiom,
    ( ~ banks(west(m(n2),c(n2)),east(m(n1),c(n1)),boatonwest)
    | banks(west(m(n0),c(n2)),east(m(n3),c(n1)),boatoneast) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',bmmcc_mc_to_cc_bmmmc) ).

cnf(mc_bmmcc_to_bmmcc_mc,axiom,
    ( ~ banks(west(m(n1),c(n1)),east(m(n2),c(n2)),boatoneast)
    | banks(west(m(n2),c(n2)),east(m(n1),c(n1)),boatonwest) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mc_bmmcc_to_bmmcc_mc) ).

cnf(starting_configuration,hypothesis,
    banks(west(m(n3),c(n3)),east(m(n0),c(n0)),boatonwest),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',starting_configuration) ).

cnf(prove_can_get_across,negated_conjecture,
    ~ banks(west(m(n0),c(n0)),east(m(n3),c(n3)),boatoneast),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_can_get_across) ).

cnf(34,plain,
    ~ banks(west(m(n0),c(n2)),east(m(n3),c(n1)),boatonwest),
    inference('REWRITE',[status(thm)],[bcc_mmmc_to_x_bmmmccc,prove_can_get_across]) ).

cnf(35,plain,
    ~ banks(west(m(n0),c(n1)),east(m(n3),c(n2)),boatoneast),
    inference('REWRITE',[status(thm)],[c_bmmmcc_to_bcc_mmmc,34]) ).

cnf(36,plain,
    ~ banks(west(m(n0),c(n3)),east(m(n3),c(n0)),boatonwest),
    inference('REWRITE',[status(thm)],[bccc_mmm_to_c_bmmmcc,35]) ).

cnf(37,plain,
    ~ banks(west(m(n0),c(n2)),east(m(n3),c(n1)),boatoneast),
    inference('REWRITE',[status(thm)],[cc_bmmmc_to_bccc_mmm,36]) ).

cnf(38,plain,
    ~ banks(west(m(n2),c(n2)),east(m(n1),c(n1)),boatonwest),
    inference('REWRITE',[status(thm)],[bmmcc_mc_to_cc_bmmmc,37]) ).

cnf(39,plain,
    ~ banks(west(m(n1),c(n1)),east(m(n2),c(n2)),boatoneast),
    inference('REWRITE',[status(thm)],[mc_bmmcc_to_bmmcc_mc,38]) ).

cnf(40,plain,
    ~ banks(west(m(n3),c(n1)),east(m(n0),c(n2)),boatonwest),
    inference('REWRITE',[status(thm)],[bmmmc_cc_to_mc_bmmcc,39]) ).

cnf(41,plain,
    ~ banks(west(m(n3),c(n0)),east(m(n0),c(n3)),boatoneast),
    inference('REWRITE',[status(thm)],[mmm_bccc_to_bmmmc_cc,40]) ).

cnf(42,plain,
    ~ banks(west(m(n3),c(n2)),east(m(n0),c(n1)),boatonwest),
    inference('REWRITE',[status(thm)],[bmmmcc_c_to_mmm_bccc,41]) ).

cnf(43,plain,
    ~ banks(west(m(n3),c(n1)),east(m(n0),c(n2)),boatoneast),
    inference('REWRITE',[status(thm)],[mmmc_bcc_to_bmmmcc_c,42]) ).

cnf(46,plain,
    $false,
    inference('REWRITE',[status(thm)],[bmmmccc_x_to_mmmc_bcc,43,starting_configuration]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : PUZ008-2 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.13  % Command  : run-snark %s %d
% 0.12/0.33  % Computer : n025.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Sat May 28 20:04:25 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.19/0.45  /export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p 2022-05-28T20:04:26
% 0.19/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n025.cluster.edu at 2022-05-28T20:04:26
% 0.19/0.52  
% 0.19/0.52  
% 0.19/0.52  #||
% 0.19/0.52  % SZS status Unsatisfiable for /export/starexec/sandbox/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  ;        48 formulas have been input or derived (from 1 formulas).
% 0.19/0.52  ;        46 (96%) were retained.  Of these,
% 0.19/0.52  ;           30 (65%) were simplified or subsumed later,
% 0.19/0.52  ;           16 (35%) are still being kept.
% 0.19/0.52  ; 
% 0.19/0.52  ; Run time in seconds excluding printing time:
% 0.19/0.52  ;     0.010  20%   Read assertion file          (1 call)
% 0.19/0.52  ;     0.002   4%   Assert                       (32 calls)
% 0.19/0.52  ;     0.003   6%   Process new row              (46 calls)
% 0.19/0.52  ;     0.001   2%   Condensing                   (30 calls)
% 0.19/0.52  ;     0.005  10%   Forward subsumption          (30 calls)
% 0.19/0.52  ;     0.004   8%   Backward subsumption         (30 calls)
% 0.19/0.52  ;     0.000   0%   Clause clause subsumption    (44 calls)
% 0.19/0.52  ;     0.001   2%   Forward simplification       (46 calls)
% 0.19/0.52  ;     0.003   6%   Backward simplification      (46 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  ;     0.021  42%   Other
% 0.19/0.52  ;     0.050        Total
% 0.19/0.52  ;     0.053        Real time
% 0.19/0.52  ; 
% 0.19/0.52  ; Term-hash-array has 44 terms in all.
% 0.19/0.52  ; Feature-vector-row-index has 0 entries (30 at peak, 30 added, 30 deleted).
% 0.19/0.52  ; Feature-vector-row-index has 1 node (454 at peak, 454 added, 453 deleted).
% 0.19/0.52  ;  Retrieved 22 possibly forward subsuming rows in 30 calls.
% 0.19/0.52  ;  Retrieved 22 possibly backward subsumed rows in 30 calls.
% 0.19/0.52  ; Path-index has 49 entries (50 at peak, 54 added, 5 deleted).
% 0.19/0.52  ; Path-index has 75 nodes (75 at peak, 75 added, 0 deleted).
% 0.19/0.52  ; Trie-index has 49 entries (50 at peak, 54 added, 5 deleted).
% 0.19/0.52  ; Trie-index has 143 nodes (144 at peak, 148 added, 5 deleted).
% 0.19/0.52  ; Retrieved 1 generalization term in 15 calls.
% 0.19/0.52  ; Retrieved 15 instance terms in 15 calls.
% 0.19/0.52  ; 
% 0.19/0.52  ; The agenda of backward simplifiable rows to process has 1 entry:
% 0.19/0.52  ;     1 with value 0
% 0.19/0.52  ; The agenda of input rows to give has 15 entries:
% 0.19/0.52  ;    15 with value 15
% 0.19/0.52  Evaluation took:
% 0.19/0.52    0.054 seconds of real time
% 0.19/0.52    0.046325 seconds of user run time
% 0.19/0.52    0.007807 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    5,204,496 bytes consed.
% 0.19/0.52  :PROOF-FOUND
% 0.19/0.52  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-05-28T20:04:26
% 0.19/0.52  :PROOF-FOUND
% 0.19/0.52  * 
%------------------------------------------------------------------------------