TSTP Solution File: KRS164+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : KRS164+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n028.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 03:29:06 EDT 2022

% Result   : Theorem 0.20s 0.50s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   10
% Syntax   : Number of clauses     :   21 (   9 unt;   3 nHn;  19 RR)
%            Number of literals    :   51 (   0 equ;  29 neg)
%            Maximal clause size   :    8 (   2 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    7 (   6 usr;   1 prp; 0-1 aty)
%            Number of functors    :    4 (   4 usr;   4 con; 0-0 aty)
%            Number of variables   :    6 (   2 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(1,axiom,
    cowlThing(X),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_0) ).

cnf(2,axiom,
    ~ cowlNothing(X),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_0) ).

cnf(3,axiom,
    ( ~ xsd_string(X)
    | ~ xsd_integer(X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1) ).

cnf(4,axiom,
    ( xsd_string(X)
    | xsd_integer(X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1) ).

cnf(5,axiom,
    ( ~ cCar(X)
    | cAutomobile(X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).

cnf(6,axiom,
    ( cCar(X)
    | ~ cAutomobile(X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).

cnf(7,axiom,
    cAutomobile(iauto),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).

cnf(8,axiom,
    cCar(icar),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5) ).

cnf(9,negated_conjecture,
    ( ~ cowlThing('SKOLEMAAAV1')
    | cowlNothing('SKOLEMAAAV1')
    | ~ xsd_string('SKOLEMAAAV2')
    | xsd_integer('SKOLEMAAAV2')
    | ~ cCar(iauto)
    | ~ cowlThing(iauto)
    | ~ cAutomobile(icar)
    | ~ cowlThing(icar) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',the_axiom) ).

cnf(10,plain,
    ( ~ xsd_string('SKOLEMAAAV2')
    | xsd_integer('SKOLEMAAAV2')
    | ~ cCar(iauto)
    | ~ cAutomobile(icar) ),
    inference('REWRITE',[status(thm)],[9,2,1]) ).

cnf(11,negated_conjecture,
    ( ~ cowlThing('SKOLEMAAAV1')
    | cowlNothing('SKOLEMAAAV1')
    | xsd_string('SKOLEMAAAV2')
    | ~ xsd_integer('SKOLEMAAAV2')
    | ~ cCar(iauto)
    | ~ cowlThing(iauto)
    | ~ cAutomobile(icar)
    | ~ cowlThing(icar) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',the_axiom) ).

cnf(12,plain,
    ( xsd_string('SKOLEMAAAV2')
    | ~ xsd_integer('SKOLEMAAAV2')
    | ~ cCar(iauto)
    | ~ cAutomobile(icar) ),
    inference('REWRITE',[status(thm)],[11,2,1]) ).

cnf(13,plain,
    cAutomobile(icar),
    inference('HYPERRESOLVE',[status(thm)],[5,8]) ).

cnf(14,plain,
    ( ~ xsd_string('SKOLEMAAAV2')
    | xsd_integer('SKOLEMAAAV2')
    | ~ cCar(iauto) ),
    inference('REWRITE',[status(thm)],[10,13]) ).

cnf(15,plain,
    ( xsd_string('SKOLEMAAAV2')
    | ~ xsd_integer('SKOLEMAAAV2')
    | ~ cCar(iauto) ),
    inference('REWRITE',[status(thm)],[12,13]) ).

cnf(16,plain,
    cCar(iauto),
    inference('HYPERRESOLVE',[status(thm)],[6,7]) ).

cnf(17,plain,
    ( ~ xsd_string('SKOLEMAAAV2')
    | xsd_integer('SKOLEMAAAV2') ),
    inference('REWRITE',[status(thm)],[14,16]) ).

cnf(18,plain,
    ( xsd_string('SKOLEMAAAV2')
    | ~ xsd_integer('SKOLEMAAAV2') ),
    inference('REWRITE',[status(thm)],[15,16]) ).

cnf(19,plain,
    xsd_integer('SKOLEMAAAV2'),
    inference('HYPERRESOLVE',[status(thm)],[17,4]) ).

cnf(20,plain,
    xsd_string('SKOLEMAAAV2'),
    inference('REWRITE',[status(thm)],[18,19]) ).

cnf(21,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[3,20]),19]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : KRS164+1 : TPTP v8.1.0. Released v3.1.0.
% 0.03/0.13  % Command  : run-snark %s %d
% 0.13/0.34  % Computer : n028.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 : Tue Jun  7 14:21:00 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.20/0.45  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.46  * 
% 0.20/0.46  * 
% 0.20/0.47  #<PACKAGE "SNARK-USER">
% 0.20/0.47  * 
% 0.20/0.47  SNARK-TPTP-OPTIONS
% 0.20/0.47  * 
% 0.20/0.47  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.47   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.47   (USE-FACTORING :POS)
% 0.20/0.47   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.47   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.47   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.47   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.47   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.47   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.47   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.47   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.47   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.47   (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.47  * 
% 0.20/0.47  "."
% 0.20/0.47  * 
% 0.20/0.47  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-07T14:21:00
% 0.20/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n028.cluster.edu at 2022-06-07T14:21:00
% 0.20/0.50  
% 0.20/0.50  
% 0.20/0.50  #||
% 0.20/0.50  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.50  % SZS output start Refutation
% See solution above
% 0.20/0.50  ||#
% 0.20/0.50  
% 0.20/0.50  ; Summary of computation:
% 0.20/0.50  ;        25 formulas have been input or derived (from 11 formulas).
% 0.20/0.50  ;        21 (84%) were retained.  Of these,
% 0.20/0.50  ;            8 (38%) were simplified or subsumed later,
% 0.20/0.50  ;           13 (62%) are still being kept.
% 0.20/0.50  ; 
% 0.20/0.50  ; Run time in seconds excluding printing time:
% 0.20/0.50  ;     0.002   7%   Read assertion file          (1 call)
% 0.20/0.50  ;     0.000   0%   Assert                       (8 calls)
% 0.20/0.50  ;     0.002   7%   Process new row              (21 calls)
% 0.20/0.50  ;     0.000   0%   Resolution                   (20 calls)
% 0.20/0.50  ;     0.000   0%   Paramodulation               (10 calls)
% 0.20/0.50  ;     0.001   4%   Factoring                    (1 call)
% 0.20/0.50  ;     0.000   0%   Condensing                   (10 calls)
% 0.20/0.50  ;     0.000   0%   Forward subsumption          (10 calls)
% 0.20/0.50  ;     0.000   0%   Backward subsumption         (10 calls)
% 0.20/0.50  ;     0.001   4%   Forward simplification       (21 calls)
% 0.20/0.50  ;     0.000   0%   Backward simplification      (19 calls)
% 0.20/0.50  ;     0.000   0%   Ordering                     (1 call)
% 0.20/0.50  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.20/0.50  ;     0.000   0%   Purity testing               (1 call)
% 0.20/0.50  ;     0.022  79%   Other
% 0.20/0.50  ;     0.028        Total
% 0.20/0.50  ;     0.030        Real time
% 0.20/0.50  ; 
% 0.20/0.50  ; Term-hash-array has 12 terms in all.
% 0.20/0.50  ; Feature-vector-row-index has 4 entries (6 at peak, 10 added, 6 deleted).
% 0.20/0.50  ; Feature-vector-row-index has 9 nodes (26 at peak, 50 added, 41 deleted).
% 0.20/0.50  ;  Retrieved 0 possibly forward subsuming rows in 10 calls.
% 0.20/0.50  ;  Retrieved 0 possibly backward subsumed rows in 10 calls.
% 0.20/0.50  ; Path-index has 16 entries (16 at peak, 24 added, 8 deleted).
% 0.20/0.50  ; Path-index has 23 nodes (23 at peak, 31 added, 8 deleted).
% 0.20/0.50  ; Trie-index has 16 entries (16 at peak, 24 added, 8 deleted).
% 0.20/0.50  ; Trie-index has 23 nodes (23 at peak, 31 added, 8 deleted).
% 0.20/0.50  ; Retrieved 11 generalization terms in 19 calls.
% 0.20/0.50  ; Retrieved 8 instance terms in 8 calls.
% 0.20/0.50  ; Retrieved 49 unifiable terms in 38 calls.
% 0.20/0.50  ; 
% 0.20/0.50  ; The agenda of rows to give has 3 entries:
% 0.20/0.50  ;     3 with value (4 4)
% 0.20/0.50  Evaluation took:
% 0.20/0.50    0.03 seconds of real time
% 0.20/0.50    0.02523 seconds of user run time
% 0.20/0.50    0.005067 seconds of system run time
% 0.20/0.50    0 calls to %EVAL
% 0.20/0.50    0 page faults and
% 0.20/0.50    2,554,856 bytes consed.
% 0.20/0.50  :PROOF-FOUND
% 0.20/0.50  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-07T14:21:00
% 0.20/0.50  :PROOF-FOUND
% 0.20/0.50  * 
%------------------------------------------------------------------------------