TSTP Solution File: PUZ024-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : PUZ024-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n027.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 18:26:45 EDT 2022

% Result   : Unsatisfiable 0.19s 0.50s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    5
% Syntax   : Number of clauses     :    9 (   5 unt;   1 nHn;   9 RR)
%            Number of literals    :   17 (   0 equ;   7 neg)
%            Maximal clause size   :    5 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :    6 (   6 usr;   4 con; 0-2 aty)
%            Number of variables   :   11 (   5 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(truths_are_told_by_truthtellers,axiom,
    ( ~ a_truth(X)
    | ~ a_truth(says(Y,X))
    | a_truth(truthteller(Y)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/PUZ002-0.ax',truths_are_told_by_truthtellers) ).

cnf(all_truthtellers,axiom,
    ( a_truth(all_are_liars)
    | ~ people(X,Y,Z)
    | a_truth(truthteller(X))
    | a_truth(truthteller(Y))
    | a_truth(truthteller(Z)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',all_truthtellers) ).

cnf(b_c_a_people,hypothesis,
    people(b,c,a),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_c_a_people) ).

cnf(a_says_all_are_liars,hypothesis,
    a_truth(says(a,all_are_liars)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_says_all_are_liars) ).

cnf(prove_there_is_a_truthteller,negated_conjecture,
    ~ a_truth(truthteller(X)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_there_is_a_truthteller) ).

cnf(21,plain,
    ( ~ a_truth(X)
    | ~ a_truth(says(Y,X)) ),
    inference('REWRITE',[status(thm)],[truths_are_told_by_truthtellers,prove_there_is_a_truthteller]) ).

cnf(24,plain,
    ( a_truth(all_are_liars)
    | ~ people(X,Y,Z) ),
    inference('REWRITE',[status(thm)],[all_truthtellers,prove_there_is_a_truthteller]) ).

cnf(26,plain,
    a_truth(all_are_liars),
    inference('HYPERRESOLVE',[status(thm)],[24,b_c_a_people]) ).

cnf(27,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[21,a_says_all_are_liars]),26]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11  % Problem  : PUZ024-1 : TPTP v8.1.0. Released v1.0.0.
% 0.10/0.12  % Command  : run-snark %s %d
% 0.11/0.33  % Computer : n027.cluster.edu
% 0.11/0.33  % Model    : x86_64 x86_64
% 0.11/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33  % Memory   : 8042.1875MB
% 0.11/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit : 300
% 0.11/0.33  % WCLimit  : 600
% 0.11/0.33  % DateTime : Sun May 29 01:33:59 EDT 2022
% 0.11/0.33  % 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 2022-05-29T01:34:00
% 0.19/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n027.cluster.edu at 2022-05-29T01:34:00
% 0.19/0.50  
% 0.19/0.50  
% 0.19/0.50  #||
% 0.19/0.50  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.50  % SZS output start Refutation
% See solution above
% 0.19/0.50  ||#
% 0.19/0.50  
% 0.19/0.50  ; Summary of computation:
% 0.19/0.50  ;        39 formulas have been input or derived (from 11 formulas).
% 0.19/0.50  ;        27 (69%) were retained.  Of these,
% 0.19/0.50  ;           16 (59%) were simplified or subsumed later,
% 0.19/0.50  ;           11 (41%) are still being kept.
% 0.19/0.50  ; 
% 0.19/0.50  ; Run time in seconds:
% 0.19/0.50  ;     0.005  15%   Read assertion file          (1 call)
% 0.19/0.50  ;     0.001   3%   Assert                       (20 calls)
% 0.19/0.50  ;     0.002   6%   Process new row              (28 calls)
% 0.19/0.50  ;     0.000   0%   Resolution                   (20 calls)
% 0.19/0.50  ;     0.000   0%   Paramodulation               (10 calls)
% 0.19/0.50  ;     0.001   3%   Condensing                   (17 calls)
% 0.19/0.50  ;     0.000   0%   Forward subsumption          (17 calls)
% 0.19/0.50  ;     0.000   0%   Backward subsumption         (17 calls)
% 0.19/0.50  ;     0.000   0%   Clause clause subsumption    (3 calls)
% 0.19/0.50  ;     0.001   3%   Forward simplification       (28 calls)
% 0.19/0.50  ;     0.000   0%   Backward simplification      (27 calls)
% 0.19/0.50  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.19/0.50  ;     0.000   0%   Purity testing               (1 call)
% 0.19/0.50  ;     0.023  70%   Other
% 0.19/0.50  ;     0.033        Total
% 0.19/0.50  ;     0.033        Real time
% 0.19/0.50  ; 
% 0.19/0.50  ; Term-hash-array has 32 terms in all.
% 0.19/0.50  ; Feature-vector-row-index has 1 entry (14 at peak, 17 added, 16 deleted).
% 0.19/0.50  ; Feature-vector-row-index has 3 nodes (66 at peak, 76 added, 73 deleted).
% 0.19/0.50  ;  Retrieved 2 possibly forward subsuming rows in 17 calls.
% 0.19/0.50  ;  Retrieved 1 possibly backward subsumed row in 17 calls.
% 0.19/0.50  ; Path-index has 21 entries (37 at peak, 40 added, 19 deleted).
% 0.19/0.50  ; Path-index has 47 nodes (50 at peak, 55 added, 8 deleted).
% 0.19/0.50  ; Trie-index has 21 entries (37 at peak, 40 added, 19 deleted).
% 0.19/0.50  ; Trie-index has 42 nodes (49 at peak, 54 added, 12 deleted).
% 0.19/0.50  ; Retrieved 7 generalization terms in 22 calls.
% 0.19/0.50  ; Retrieved 13 instance terms in 9 calls.
% 0.19/0.50  ; Retrieved 66 unifiable terms in 55 calls.
% 0.19/0.50  ; 
% 0.19/0.50  ; The agenda of rows to process has 4 entries:
% 0.19/0.50  ;     1 with value 4               1 with value 9                2 with value 10
% 0.19/0.50  ; The agenda of rows to give has 2 entries:
% 0.19/0.50  ;     2 with value (4 4)
% 0.19/0.50  Evaluation took:
% 0.19/0.50    0.034 seconds of real time
% 0.19/0.50    0.028628 seconds of user run time
% 0.19/0.50    0.004999 seconds of system run time
% 0.19/0.50    0 calls to %EVAL
% 0.19/0.50    0 page faults and
% 0.19/0.50    2,018,224 bytes consed.
% 0.19/0.50  :PROOF-FOUND
% 0.19/0.50  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-05-29T01:34:00
% 0.19/0.50  :PROOF-FOUND
% 0.19/0.50  * 
%------------------------------------------------------------------------------