TSTP Solution File: PUZ014-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : PUZ014-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n018.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 0.20s 0.51s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   15
% Syntax   : Number of clauses     :   37 (  13 unt;   7 nHn;  37 RR)
%            Number of literals    :   73 (   0 equ;  35 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    0 (   0 avg)
%            Number of predicates  :   14 (  13 usr;  14 prp; 0-0 aty)
%            Number of functors    :    0 (   0 usr;   0 con; --- aty)
%            Number of variables   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c1,axiom,
    ( ~ some_english_sing
    | ~ some_english_sing_not
    | some_monitors_are_awake ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c1) ).

cnf(c2,axiom,
    ( ~ some_scotch_dance
    | ~ some_irish_fight
    | some_welsh_eat ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c2) ).

cnf(c3,axiom,
    ( ~ some_germans_play
    | some_germans_play_not
    | some_of_the_eleven_are_not_oiling ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c3) ).

cnf(c4,axiom,
    ( ~ some_monitors_are_awake
    | ~ some_monitors_are_not_awake
    | some_irish_fight ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c4) ).

cnf(c5,axiom,
    ( ~ some_germans_play
    | some_scotch_dance
    | some_welsh_eat_not ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c5) ).

cnf(c6,axiom,
    ( ~ some_scotch_dance_not
    | ~ some_irish_fight_not
    | some_germans_play ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c6) ).

cnf(c7,axiom,
    ( ~ some_monitors_are_awake
    | ~ some_welsh_eat
    | ~ some_scotch_dance ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c7) ).

cnf(c8,axiom,
    ( ~ some_germans_play_not
    | ~ some_welsh_eat_not
    | ~ some_irish_fight ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c8) ).

cnf(c9,axiom,
    ( ~ some_english_sing
    | some_english_sing_not
    | ~ some_scotch_dance_not
    | ~ some_germans_play ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c9) ).

cnf(c10,axiom,
    ( ~ some_english_sing
    | ~ some_monitors_are_not_awake
    | some_irish_fight_not ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c10) ).

cnf(c11,axiom,
    ( ~ some_monitors_are_awake
    | ~ some_of_the_eleven_are_not_oiling
    | some_scotch_dance ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c11) ).

cnf(c16,axiom,
    ( some_welsh_eat
    | some_welsh_eat_not ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c16) ).

cnf(c18,axiom,
    some_english_sing,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c18) ).

cnf(c19,axiom,
    some_scotch_dance_not,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c19) ).

cnf(prove_all_monitors_are_awake,negated_conjecture,
    some_monitors_are_not_awake,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_all_monitors_are_awake) ).

cnf(21,plain,
    ( ~ some_monitors_are_awake
    | some_irish_fight ),
    inference('REWRITE',[status(thm)],[c4,prove_all_monitors_are_awake]) ).

cnf(22,plain,
    ( ~ some_irish_fight_not
    | some_germans_play ),
    inference('REWRITE',[status(thm)],[c6,c19]) ).

cnf(23,plain,
    ( ~ some_english_sing_not
    | some_monitors_are_awake ),
    inference('REWRITE',[status(thm)],[c1,c18]) ).

cnf(24,plain,
    ( some_english_sing_not
    | ~ some_germans_play ),
    inference('REWRITE',[status(thm)],[c9,c19,c18]) ).

cnf(25,plain,
    some_irish_fight_not,
    inference('REWRITE',[status(thm)],[c10,prove_all_monitors_are_awake,c18]) ).

cnf(26,plain,
    some_germans_play,
    inference('REWRITE',[status(thm)],[22,25]) ).

cnf(27,plain,
    ( some_germans_play_not
    | some_of_the_eleven_are_not_oiling ),
    inference('REWRITE',[status(thm)],[c3,26]) ).

cnf(28,plain,
    ( some_scotch_dance
    | some_welsh_eat_not ),
    inference('REWRITE',[status(thm)],[c5,26]) ).

cnf(29,plain,
    some_english_sing_not,
    inference('REWRITE',[status(thm)],[24,26]) ).

cnf(30,plain,
    some_monitors_are_awake,
    inference('REWRITE',[status(thm)],[23,29]) ).

cnf(31,plain,
    ( ~ some_welsh_eat
    | ~ some_scotch_dance ),
    inference('REWRITE',[status(thm)],[c7,30]) ).

cnf(32,plain,
    ( ~ some_of_the_eleven_are_not_oiling
    | some_scotch_dance ),
    inference('REWRITE',[status(thm)],[c11,30]) ).

cnf(33,plain,
    some_irish_fight,
    inference('REWRITE',[status(thm)],[21,30]) ).

cnf(34,plain,
    ( ~ some_scotch_dance
    | some_welsh_eat ),
    inference('REWRITE',[status(thm)],[c2,33]) ).

cnf(35,plain,
    ( ~ some_germans_play_not
    | ~ some_welsh_eat_not ),
    inference('REWRITE',[status(thm)],[c8,33]) ).

cnf(36,plain,
    ( some_germans_play_not
    | some_scotch_dance ),
    inference('HYPERRESOLVE',[status(thm)],[32,27]) ).

cnf(37,plain,
    ( some_germans_play_not
    | some_welsh_eat ),
    inference('HYPERRESOLVE',[status(thm)],[34,36]) ).

cnf(38,plain,
    some_germans_play_not,
    inference('HYPERRESOLVE',[status(thm)],[31,37,36]) ).

cnf(39,plain,
    ~ some_welsh_eat_not,
    inference('REWRITE',[status(thm)],[35,38]) ).

cnf(40,plain,
    some_welsh_eat,
    inference('REWRITE',[status(thm)],[c16,39]) ).

cnf(41,plain,
    ~ some_scotch_dance,
    inference('REWRITE',[status(thm)],[31,40]) ).

cnf(43,plain,
    $false,
    inference('REWRITE',[status(thm)],[28,41,39]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : PUZ014-1 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13  % Command  : run-snark %s %d
% 0.13/0.34  % Computer : n018.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 02:14:40 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.20/0.46  /export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p 2022-05-29T02:14:40
% 0.20/0.48  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n018.cluster.edu at 2022-05-29T02:14:40
% 0.20/0.51  
% 0.20/0.51  
% 0.20/0.51  #||
% 0.20/0.51  % SZS status Unsatisfiable for /export/starexec/sandbox/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  ;        43 formulas have been input or derived (from 18 formulas).
% 0.20/0.51  ;        43 (100%) were retained.  Of these,
% 0.20/0.51  ;           29 (67%) were simplified or subsumed later,
% 0.20/0.51  ;           14 (33%) are still being kept.
% 0.20/0.51  ; 
% 0.20/0.51  ; Run time in seconds excluding printing time:
% 0.20/0.51  ;     0.003  10%   Read assertion file          (1 call)
% 0.20/0.51  ;     0.000   0%   Assert                       (20 calls)
% 0.20/0.51  ;     0.000   0%   Process new row              (43 calls)
% 0.20/0.51  ;     0.001   3%   Resolution                   (34 calls)
% 0.20/0.51  ;     0.000   0%   Paramodulation               (17 calls)
% 0.20/0.51  ;     0.000   0%   Factoring                    (5 calls)
% 0.20/0.51  ;     0.000   0%   Condensing                   (29 calls)
% 0.20/0.51  ;     0.000   0%   Forward subsumption          (29 calls)
% 0.20/0.51  ;     0.000   0%   Backward subsumption         (29 calls)
% 0.20/0.51  ;     0.002   7%   Forward simplification       (43 calls)
% 0.20/0.51  ;     0.001   3%   Backward simplification      (43 calls)
% 0.20/0.51  ;     0.000   0%   Ordering                     (10 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  ;     0.022  76%   Other
% 0.20/0.51  ;     0.029        Total
% 0.20/0.51  ;     0.033        Real time
% 0.20/0.51  ; 
% 0.20/0.51  ; Term-hash-array has 0 terms in all.
% 0.20/0.51  ; Feature-vector-row-index has 0 entries (17 at peak, 29 added, 29 deleted).
% 0.20/0.51  ; Feature-vector-row-index has 1 node (51 at peak, 76 added, 75 deleted).
% 0.20/0.51  ;  Retrieved 0 possibly forward subsuming rows in 29 calls.
% 0.20/0.51  ;  Retrieved 0 possibly backward subsumed rows in 29 calls.
% 0.20/0.51  ; Path-index has 13 entries (13 at peak, 15 added, 2 deleted).
% 0.20/0.51  ; Path-index has 14 nodes (14 at peak, 16 added, 2 deleted).
% 0.20/0.51  ; Trie-index has 13 entries (13 at peak, 15 added, 2 deleted).
% 0.20/0.51  ; Trie-index has 14 nodes (14 at peak, 16 added, 2 deleted).
% 0.20/0.51  ; Retrieved 13 instance terms in 13 calls.
% 0.20/0.51  ; Retrieved 53 unifiable terms in 53 calls.
% 0.20/0.51  ; 
% 0.20/0.51  ; The agenda of input rows to give has 4 entries:
% 0.20/0.51  ;     4 with value 1
% 0.20/0.51  ; The agenda of rows to give has 1 entry:
% 0.20/0.51  ;     1 with value (4 4)
% 0.20/0.51  Evaluation took:
% 0.20/0.51    0.033 seconds of real time
% 0.20/0.51    0.026068 seconds of user run time
% 0.20/0.51    0.007008 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    2,960,112 bytes consed.
% 0.20/0.51  :PROOF-FOUND
% 0.20/0.51  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-05-29T02:14:40
% 0.20/0.51  :PROOF-FOUND
% 0.20/0.51  * 
%------------------------------------------------------------------------------