TSTP Solution File: MSC004-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : MSC004-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n019.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 : Sun Jul 17 22:57:57 EDT 2022

% Result   : Unsatisfiable 0.19s 0.50s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   20 (  10 unt;   5 nHn;  16 RR)
%            Number of literals    :   33 (   0 equ;   9 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :   11 (  11 usr;   9 con; 0-5 aty)
%            Number of variables   :   21 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(not_part_inheritance,axiom,
    ( in(object_in(X,Y,Z,U,V),Y)
    | has_parts(X,times(U,V),Z)
    | ~ has_parts(X,U,Y) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_part_inheritance) ).

cnf(part_inheritance,axiom,
    ( has_parts(X,times(Y,Z),U)
    | ~ has_parts(X,Y,V)
    | ~ has_parts(object_in(X,V,U,Y,Z),Z,U) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',part_inheritance) ).

cnf(john_is_a_boy,hypothesis,
    in(john,boy),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',john_is_a_boy) ).

cnf(in_boy_in_human,hypothesis,
    ( in(X,human)
    | ~ in(X,boy) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',in_boy_in_human) ).

cnf(hands_have_5_fingers,hypothesis,
    ( has_parts(X,n5,fingers)
    | ~ in(X,hand) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hands_have_5_fingers) ).

cnf(humans_have_two_arms,hypothesis,
    ( has_parts(X,n2,arm)
    | ~ in(X,human) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',humans_have_two_arms) ).

cnf(arms_have_one_hand,hypothesis,
    ( has_parts(X,n1,hand)
    | ~ in(X,arm) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arms_have_one_hand) ).

cnf(prove_john_has_10_fingers,negated_conjecture,
    ~ has_parts(john,times(times(n2,n1),n5),fingers),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_john_has_10_fingers) ).

cnf(9,plain,
    in(john,human),
    inference('HYPERRESOLVE',[status(thm)],[in_boy_in_human,john_is_a_boy]) ).

cnf(10,plain,
    has_parts(john,n2,arm),
    inference('HYPERRESOLVE',[status(thm)],[humans_have_two_arms,9]) ).

cnf(11,plain,
    ( in(object_in(john,arm,X,n2,Y),arm)
    | has_parts(john,times(n2,Y),X) ),
    inference('HYPERRESOLVE',[status(thm)],[not_part_inheritance,10]) ).

cnf(12,plain,
    ( in(object_in(john,arm,X,n2,Y),arm)
    | in(object_in(john,X,Z,times(n2,Y),U),X)
    | has_parts(john,times(times(n2,Y),U),Z) ),
    inference('HYPERRESOLVE',[status(thm)],[not_part_inheritance,11]) ).

cnf(13,plain,
    ( in(object_in(john,arm,X,n2,n1),arm)
    | in(object_in(john,X,fingers,times(n2,n1),n5),X) ),
    inference('HYPERRESOLVE',[status(thm)],[prove_john_has_10_fingers,12]) ).

cnf(17,plain,
    ( in(object_in(john,arm,hand,n2,n1),arm)
    | has_parts(object_in(john,hand,fingers,times(n2,n1),n5),n5,fingers) ),
    inference('HYPERRESOLVE',[status(thm)],[hands_have_5_fingers,13]) ).

cnf(21,plain,
    in(object_in(john,arm,hand,n2,n1),arm),
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[part_inheritance,17,11]),prove_john_has_10_fingers]) ).

cnf(22,plain,
    has_parts(object_in(john,arm,hand,n2,n1),n1,hand),
    inference('HYPERRESOLVE',[status(thm)],[arms_have_one_hand,21]) ).

cnf(23,plain,
    has_parts(john,times(n2,n1),hand),
    inference('HYPERRESOLVE',[status(thm)],[part_inheritance,22,10]) ).

cnf(25,plain,
    in(object_in(john,hand,fingers,times(n2,n1),n5),hand),
    inference('UR-RESOLVE',[status(thm)],[not_part_inheritance,23,prove_john_has_10_fingers]) ).

cnf(26,plain,
    ~ has_parts(object_in(john,hand,fingers,times(n2,n1),n5),n5,fingers),
    inference('UR-RESOLVE',[status(thm)],[part_inheritance,23,prove_john_has_10_fingers]) ).

cnf(28,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[hands_have_5_fingers,25]),26]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : MSC004-1 : TPTP v8.1.0. Released v1.0.0.
% 0.11/0.13  % Command  : run-snark %s %d
% 0.13/0.34  % Computer : n019.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 : Fri Jul  1 16:13:38 EDT 2022
% 0.13/0.34  % 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 2022-07-01T16:13:39
% 0.19/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n019.cluster.edu at 2022-07-01T16:13:39
% 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
% 0.19/0.51  ||#
% 0.19/0.51  
% 0.19/0.51  ; Summary of computation:
% 0.19/0.51  ;        34 formulas have been input or derived (from 21 formulas).
% 0.19/0.51  ;        28 (82%) were retained.  Of these,
% 0.19/0.51  ;            1 ( 4%) were simplified or subsumed later,
% 0.19/0.51  ;           27 (96%) are still being kept.
% 0.19/0.51  ; 
% 0.19/0.51  ; Run time in seconds excluding printing time:
% 0.19/0.51  ;     0.002   6%   Read assertion file          (1 call)
% 0.19/0.51  ;     0.000   0%   Assert                       (8 calls)
% 0.19/0.51  ;     0.005  15%   Process new row              (29 calls)
% 0.19/0.51  ;     0.003   9%   Resolution                   (40 calls)
% 0.19/0.51  ;     0.000   0%   Paramodulation               (20 calls)
% 0.19/0.51  ;     0.000   0%   Factoring                    (6 calls)
% 0.19/0.51  ;     0.000   0%   Condensing                   (18 calls)
% 0.19/0.51  ;     0.000   0%   Forward subsumption          (18 calls)
% 0.19/0.51  ;     0.000   0%   Backward subsumption         (18 calls)
% 0.19/0.51  ;     0.000   0%   Clause clause subsumption    (5 calls)
% 0.19/0.51  ;     0.001   3%   Forward simplification       (28 calls)
% 0.19/0.51  ;     0.001   3%   Backward simplification      (28 calls)
% 0.19/0.51  ;     0.000   0%   Ordering                     (16 calls)
% 0.19/0.51  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.19/0.51  ;     0.000   0%   Purity testing               (1 call)
% 0.19/0.51  ;     0.022  65%   Other
% 0.19/0.51  ;     0.034        Total
% 0.19/0.51  ;     0.036        Real time
% 0.19/0.51  ; 
% 0.19/0.51  ; Term-hash-array has 70 terms in all.
% 0.19/0.51  ; Feature-vector-row-index has 17 entries (17 at peak, 18 added, 1 deleted).
% 0.19/0.51  ; Feature-vector-row-index has 247 nodes (247 at peak, 272 added, 25 deleted).
% 0.19/0.51  ;  Retrieved 5 possibly forward subsuming rows in 18 calls.
% 0.19/0.51  ;  Retrieved 0 possibly backward subsumed rows in 18 calls.
% 0.19/0.51  ; Path-index has 79 entries (79 at peak, 81 added, 2 deleted).
% 0.19/0.51  ; Path-index has 209 nodes (209 at peak, 211 added, 2 deleted).
% 0.19/0.51  ; Trie-index has 79 entries (79 at peak, 81 added, 2 deleted).
% 0.19/0.51  ; Trie-index has 312 nodes (312 at peak, 326 added, 14 deleted).
% 0.19/0.51  ; Retrieved 2 generalization terms in 42 calls.
% 0.19/0.51  ; Retrieved 9 instance terms in 9 calls.
% 0.19/0.51  ; Retrieved 222 unifiable terms in 174 calls.
% 0.19/0.51  ; 
% 0.19/0.51  ; The agenda of rows to give has 7 entries:
% 0.19/0.51  ;     1 with value (4 24)          1 with value (4 34)           1 with value (4 52)
% 0.19/0.51  ;     1 with value (4 30)          1 with value (4 38)           1 with value (4 58)
% 0.19/0.51  ;     1 with value (4 31)
% 0.19/0.51  Evaluation took:
% 0.19/0.51    0.036 seconds of real time
% 0.19/0.51    0.027724 seconds of user run time
% 0.19/0.51    0.008889 seconds of system run time
% 0.19/0.51    0 calls to %EVAL
% 0.19/0.51    0 page faults and
% 0.19/0.51    3,193,128 bytes consed.
% 0.19/0.51  :PROOF-FOUND
% 0.19/0.51  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-01T16:13:39
% 0.19/0.51  :PROOF-FOUND
% 0.19/0.51  * 
%------------------------------------------------------------------------------