TSTP Solution File: PUZ003-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : PUZ003-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n032.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 18:26:21 EDT 2022

% Result   : Unsatisfiable 0.11s 0.38s
% Output   : Refutation 0.11s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   12 (  10 unt;   0 nHn;  12 RR)
%            Number of literals    :   17 (   0 equ;   8 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   5 con; 0-0 aty)
%            Number of variables   :    4 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(one_shaved_then_all_shaved,axiom,
    ( ~ member(X)
    | ~ member(Y)
    | ~ shaved(X,Y)
    | shaved(members,X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',one_shaved_then_all_shaved) ).

cnf(all_shaved_then_one_shaved,axiom,
    ( ~ shaved(members,X)
    | ~ member(Y)
    | shaved(Y,X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',all_shaved_then_one_shaved) ).

cnf(guido,hypothesis,
    member(guido),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',guido) ).

cnf(lorenzo,hypothesis,
    member(lorenzo),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',lorenzo) ).

cnf(petruchio,hypothesis,
    member(petruchio),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',petruchio) ).

cnf(cesare,hypothesis,
    member(cesare),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cesare) ).

cnf(guido_has_shaved_cesare,hypothesis,
    shaved(guido,cesare),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',guido_has_shaved_cesare) ).

cnf(prove_petruchio_has_shaved_lorenzo,negated_conjecture,
    ~ shaved(petruchio,lorenzo),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_petruchio_has_shaved_lorenzo) ).

cnf(9,plain,
    ~ shaved(members,lorenzo),
    inference('UR-RESOLVE',[status(thm)],[all_shaved_then_one_shaved,petruchio,prove_petruchio_has_shaved_lorenzo]) ).

cnf(10,plain,
    shaved(members,guido),
    inference('HYPERRESOLVE',[status(thm)],[one_shaved_then_all_shaved,guido,cesare,guido_has_shaved_cesare]) ).

cnf(14,plain,
    ~ shaved(lorenzo,guido),
    inference('UR-RESOLVE',[status(thm)],[one_shaved_then_all_shaved,9,lorenzo,guido]) ).

cnf(17,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[all_shaved_then_one_shaved,10,lorenzo]),14]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.08  % Problem  : PUZ003-1 : TPTP v8.1.0. Released v1.0.0.
% 0.00/0.08  % Command  : run-snark %s %d
% 0.07/0.27  % Computer : n032.cluster.edu
% 0.07/0.27  % Model    : x86_64 x86_64
% 0.07/0.27  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.27  % Memory   : 8042.1875MB
% 0.07/0.27  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.07/0.27  % CPULimit : 300
% 0.07/0.27  % WCLimit  : 600
% 0.07/0.27  % DateTime : Sun May 29 00:10:56 EDT 2022
% 0.07/0.27  % CPUTime  : 
% 0.11/0.35  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.35  * 
% 0.11/0.35  * 
% 0.11/0.36  #<PACKAGE "SNARK-USER">
% 0.11/0.36  * 
% 0.11/0.36  SNARK-TPTP-OPTIONS
% 0.11/0.36  * 
% 0.11/0.36  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.11/0.36   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.11/0.36   (USE-FACTORING :POS)
% 0.11/0.36   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.11/0.36   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.11/0.36   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.11/0.36   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.11/0.36   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.11/0.36   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.11/0.36   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.11/0.36   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.11/0.36   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.11/0.36   (DECLARE-TPTP-SYMBOLS2))
% 0.11/0.36  * 
% 0.11/0.36  "."
% 0.11/0.36  * 
% 0.11/0.36  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-05-29T00:10:56
% 0.11/0.36  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n032.cluster.edu at 2022-05-29T00:10:56
% 0.11/0.38  
% 0.11/0.38  
% 0.11/0.38  #||
% 0.11/0.38  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.38  % SZS output start Refutation
% See solution above
% 0.11/0.38  ||#
% 0.11/0.38  
% 0.11/0.38  ; Summary of computation:
% 0.11/0.38  ;        23 formulas have been input or derived (from 11 formulas).
% 0.11/0.38  ;        17 (74%) were retained.  Of these,
% 0.11/0.38  ;           17 (100%) are still being kept.
% 0.11/0.38  ; 
% 0.11/0.38  ; Run time in seconds excluding printing time:
% 0.11/0.38  ;     0.001   6%   Read assertion file          (1 call)
% 0.11/0.38  ;     0.000   0%   Assert                       (8 calls)
% 0.11/0.38  ;     0.001   6%   Process new row              (17 calls)
% 0.11/0.38  ;     0.000   0%   Resolution                   (20 calls)
% 0.11/0.38  ;     0.000   0%   Paramodulation               (10 calls)
% 0.11/0.38  ;     0.000   0%   Condensing                   (2 calls)
% 0.11/0.38  ;     0.000   0%   Forward subsumption          (2 calls)
% 0.11/0.38  ;     0.000   0%   Backward subsumption         (2 calls)
% 0.11/0.38  ;     0.000   0%   Forward simplification       (17 calls)
% 0.11/0.38  ;     0.000   0%   Backward simplification      (17 calls)
% 0.11/0.38  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.11/0.38  ;     0.000   0%   Purity testing               (1 call)
% 0.11/0.38  ;     0.016  89%   Other
% 0.11/0.38  ;     0.018        Total
% 0.11/0.38  ;     0.020        Real time
% 0.11/0.38  ; 
% 0.11/0.38  ; Term-hash-array has 19 terms in all.
% 0.11/0.38  ; Feature-vector-row-index has 2 entries (2 at peak, 2 added, 0 deleted).
% 0.11/0.38  ; Feature-vector-row-index has 9 nodes (9 at peak, 9 added, 0 deleted).
% 0.11/0.38  ;  Retrieved 0 possibly forward subsuming rows in 2 calls.
% 0.11/0.38  ;  Retrieved 0 possibly backward subsumed rows in 2 calls.
% 0.11/0.38  ; Path-index has 24 entries (24 at peak, 24 added, 0 deleted).
% 0.11/0.38  ; Path-index has 26 nodes (26 at peak, 26 added, 0 deleted).
% 0.11/0.38  ; Trie-index has 24 entries (24 at peak, 24 added, 0 deleted).
% 0.11/0.38  ; Trie-index has 31 nodes (31 at peak, 31 added, 0 deleted).
% 0.11/0.38  ; Retrieved 1 generalization term in 13 calls.
% 0.11/0.38  ; Retrieved 14 instance terms in 14 calls.
% 0.11/0.38  ; Retrieved 232 unifiable terms in 141 calls.
% 0.11/0.38  ; 
% 0.11/0.38  ; The agenda of rows to process has 5 entries:
% 0.11/0.38  ;     5 with value 6
% 0.11/0.38  ; The agenda of rows to give has 6 entries:
% 0.11/0.38  ;     6 with value (4 6)
% 0.11/0.38  Evaluation took:
% 0.11/0.38    0.02 seconds of real time
% 0.11/0.38    0.015545 seconds of user run time
% 0.11/0.38    0.00478 seconds of system run time
% 0.11/0.38    0 calls to %EVAL
% 0.11/0.38    0 page faults and
% 0.11/0.38    1,785,160 bytes consed.
% 0.11/0.38  :PROOF-FOUND
% 0.11/0.38  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-05-29T00:10:56
% 0.11/0.38  :PROOF-FOUND
% 0.11/0.38  * 
%------------------------------------------------------------------------------