TSTP Solution File: KRS150+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : KRS150+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n017.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 03:29:03 EDT 2022

% Result   : Theorem 0.18s 0.50s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   19
% Syntax   : Number of clauses     :   42 (  18 unt;   5 nHn;  38 RR)
%            Number of literals    :  134 (   0 equ;  91 neg)
%            Maximal clause size   :   13 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   16 (  15 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   5 con; 0-0 aty)
%            Number of variables   :   12 (   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(10,axiom,
    ( cC12(X)
    | cC2(X)
    | cC10(X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).

cnf(13,axiom,
    ( cC14(X)
    | ~ rR1(X,Y)
    | ~ cC12(Y) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4) ).

cnf(18,axiom,
    ( ~ cC18(X)
    | cC16(X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_6) ).

cnf(25,axiom,
    ( cC6(X)
    | cC2(X)
    | cC4(X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_8) ).

cnf(28,axiom,
    ( cC8(X)
    | ~ rR1(X,Y)
    | ~ cC6(Y) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_9) ).

cnf(29,axiom,
    ( ~ cTEST(X)
    | cC18(X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_10) ).

cnf(33,axiom,
    cTEST(iV16560),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_12) ).

cnf(34,axiom,
    rR1(iV16560,iV16562),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_14) ).

cnf(35,axiom,
    rR1(iV16560,iV16561),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_15) ).

cnf(36,axiom,
    ~ cC4(iV16561),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_16) ).

cnf(38,axiom,
    ~ cC2(iV16561),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_19) ).

cnf(39,axiom,
    ~ cC10(iV16562),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_20) ).

cnf(40,axiom,
    ~ cC2(iV16562),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_21) ).

cnf(42,negated_conjecture,
    ( ~ cowlThing('SKOLEMAAAU5')
    | cowlNothing('SKOLEMAAAU5')
    | ~ xsd_string('SKOLEMAAAU6')
    | xsd_integer('SKOLEMAAAU6')
    | ~ cC18(iV16560)
    | ~ cC16(iV16560)
    | ~ cowlThing(iV16560)
    | ~ cC14(iV16560)
    | ~ cC8(iV16560)
    | ~ cowlThing(iV16561)
    | ~ cC6(iV16561)
    | ~ cowlThing(iV16562)
    | ~ cC12(iV16562) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',the_axiom) ).

cnf(43,plain,
    ( ~ xsd_string('SKOLEMAAAU6')
    | xsd_integer('SKOLEMAAAU6')
    | ~ cC18(iV16560)
    | ~ cC16(iV16560)
    | ~ cC14(iV16560)
    | ~ cC8(iV16560)
    | ~ cC6(iV16561)
    | ~ cC12(iV16562) ),
    inference('REWRITE',[status(thm)],[42,2,1]) ).

cnf(44,negated_conjecture,
    ( ~ cowlThing('SKOLEMAAAU5')
    | cowlNothing('SKOLEMAAAU5')
    | xsd_string('SKOLEMAAAU6')
    | ~ xsd_integer('SKOLEMAAAU6')
    | ~ cC18(iV16560)
    | ~ cC16(iV16560)
    | ~ cowlThing(iV16560)
    | ~ cC14(iV16560)
    | ~ cC8(iV16560)
    | ~ cowlThing(iV16561)
    | ~ cC6(iV16561)
    | ~ cowlThing(iV16562)
    | ~ cC12(iV16562) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',the_axiom) ).

cnf(45,plain,
    ( xsd_string('SKOLEMAAAU6')
    | ~ xsd_integer('SKOLEMAAAU6')
    | ~ cC18(iV16560)
    | ~ cC16(iV16560)
    | ~ cC14(iV16560)
    | ~ cC8(iV16560)
    | ~ cC6(iV16561)
    | ~ cC12(iV16562) ),
    inference('REWRITE',[status(thm)],[44,2,1]) ).

cnf(46,plain,
    cC18(iV16560),
    inference('HYPERRESOLVE',[status(thm)],[29,33]) ).

cnf(47,plain,
    ( ~ xsd_string('SKOLEMAAAU6')
    | xsd_integer('SKOLEMAAAU6')
    | ~ cC16(iV16560)
    | ~ cC14(iV16560)
    | ~ cC8(iV16560)
    | ~ cC6(iV16561)
    | ~ cC12(iV16562) ),
    inference('REWRITE',[status(thm)],[43,46]) ).

cnf(48,plain,
    ( xsd_string('SKOLEMAAAU6')
    | ~ xsd_integer('SKOLEMAAAU6')
    | ~ cC16(iV16560)
    | ~ cC14(iV16560)
    | ~ cC8(iV16560)
    | ~ cC6(iV16561)
    | ~ cC12(iV16562) ),
    inference('REWRITE',[status(thm)],[45,46]) ).

cnf(53,plain,
    cC12(iV16562),
    inference('UR-RESOLVE',[status(thm)],[10,40,39]) ).

cnf(54,plain,
    ( ~ xsd_string('SKOLEMAAAU6')
    | xsd_integer('SKOLEMAAAU6')
    | ~ cC16(iV16560)
    | ~ cC14(iV16560)
    | ~ cC8(iV16560)
    | ~ cC6(iV16561) ),
    inference('REWRITE',[status(thm)],[47,53]) ).

cnf(55,plain,
    ( xsd_string('SKOLEMAAAU6')
    | ~ xsd_integer('SKOLEMAAAU6')
    | ~ cC16(iV16560)
    | ~ cC14(iV16560)
    | ~ cC8(iV16560)
    | ~ cC6(iV16561) ),
    inference('REWRITE',[status(thm)],[48,53]) ).

cnf(57,plain,
    cC6(iV16561),
    inference('UR-RESOLVE',[status(thm)],[25,38,36]) ).

cnf(58,plain,
    ( ~ xsd_string('SKOLEMAAAU6')
    | xsd_integer('SKOLEMAAAU6')
    | ~ cC16(iV16560)
    | ~ cC14(iV16560)
    | ~ cC8(iV16560) ),
    inference('REWRITE',[status(thm)],[54,57]) ).

cnf(59,plain,
    ( xsd_string('SKOLEMAAAU6')
    | ~ xsd_integer('SKOLEMAAAU6')
    | ~ cC16(iV16560)
    | ~ cC14(iV16560)
    | ~ cC8(iV16560) ),
    inference('REWRITE',[status(thm)],[55,57]) ).

cnf(62,plain,
    cC8(iV16560),
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[28,35,25]),36,38]) ).

cnf(63,plain,
    ( ~ xsd_string('SKOLEMAAAU6')
    | xsd_integer('SKOLEMAAAU6')
    | ~ cC16(iV16560)
    | ~ cC14(iV16560) ),
    inference('REWRITE',[status(thm)],[58,62]) ).

cnf(64,plain,
    ( xsd_string('SKOLEMAAAU6')
    | ~ xsd_integer('SKOLEMAAAU6')
    | ~ cC16(iV16560)
    | ~ cC14(iV16560) ),
    inference('REWRITE',[status(thm)],[59,62]) ).

cnf(65,plain,
    cC16(iV16560),
    inference('HYPERRESOLVE',[status(thm)],[18,46]) ).

cnf(66,plain,
    ( ~ xsd_string('SKOLEMAAAU6')
    | xsd_integer('SKOLEMAAAU6')
    | ~ cC14(iV16560) ),
    inference('REWRITE',[status(thm)],[63,65]) ).

cnf(67,plain,
    ( xsd_string('SKOLEMAAAU6')
    | ~ xsd_integer('SKOLEMAAAU6')
    | ~ cC14(iV16560) ),
    inference('REWRITE',[status(thm)],[64,65]) ).

cnf(68,plain,
    cC14(iV16560),
    inference('HYPERRESOLVE',[status(thm)],[13,53,34]) ).

cnf(69,plain,
    ( ~ xsd_string('SKOLEMAAAU6')
    | xsd_integer('SKOLEMAAAU6') ),
    inference('REWRITE',[status(thm)],[66,68]) ).

cnf(70,plain,
    ( xsd_string('SKOLEMAAAU6')
    | ~ xsd_integer('SKOLEMAAAU6') ),
    inference('REWRITE',[status(thm)],[67,68]) ).

cnf(71,plain,
    xsd_integer('SKOLEMAAAU6'),
    inference('HYPERRESOLVE',[status(thm)],[69,4]) ).

cnf(72,plain,
    xsd_string('SKOLEMAAAU6'),
    inference('REWRITE',[status(thm)],[70,71]) ).

cnf(73,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[3,72]),71]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : KRS150+1 : TPTP v8.1.0. Released v3.1.0.
% 0.11/0.13  % Command  : run-snark %s %d
% 0.12/0.33  % Computer : n017.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Tue Jun  7 16:00:17 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.18/0.45  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.46  * 
% 0.18/0.46  * 
% 0.18/0.46  #<PACKAGE "SNARK-USER">
% 0.18/0.46  * 
% 0.18/0.46  SNARK-TPTP-OPTIONS
% 0.18/0.46  * 
% 0.18/0.46  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.18/0.46   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.18/0.46   (USE-FACTORING :POS)
% 0.18/0.46   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.18/0.46   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.18/0.46   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.18/0.46   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.18/0.46   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.18/0.46   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.18/0.46   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.18/0.46   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.18/0.46   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.18/0.46   (DECLARE-TPTP-SYMBOLS2))
% 0.18/0.46  * 
% 0.18/0.46  "."
% 0.18/0.46  * 
% 0.18/0.46  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-07T16:00:17
% 0.18/0.46  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n017.cluster.edu at 2022-06-07T16:00:17
% 0.18/0.50  
% 0.18/0.50  
% 0.18/0.50  #||
% 0.18/0.50  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.50  % SZS output start Refutation
% See solution above
% 0.18/0.51  ||#
% 0.18/0.51  
% 0.18/0.51  ; Summary of computation:
% 0.18/0.51  ;       101 formulas have been input or derived (from 50 formulas).
% 0.18/0.51  ;        73 (72%) were retained.  Of these,
% 0.18/0.51  ;           16 (22%) were simplified or subsumed later,
% 0.18/0.51  ;           57 (78%) are still being kept.
% 0.18/0.51  ; 
% 0.18/0.51  ; Run time in seconds excluding printing time:
% 0.18/0.51  ;     0.004  11%   Read assertion file          (1 call)
% 0.18/0.51  ;     0.002   5%   Assert                       (25 calls)
% 0.18/0.51  ;     0.003   8%   Process new row              (95 calls)
% 0.18/0.51  ;     0.000   0%   Resolution                   (98 calls)
% 0.18/0.51  ;     0.000   0%   Paramodulation               (49 calls)
% 0.18/0.51  ;     0.000   0%   Factoring                    (3 calls)
% 0.18/0.51  ;     0.000   0%   Condensing                   (47 calls)
% 0.18/0.51  ;     0.001   3%   Forward subsumption          (47 calls)
% 0.18/0.51  ;     0.001   3%   Backward subsumption         (46 calls)
% 0.18/0.51  ;     0.000   0%   Clause clause subsumption    (1 call)
% 0.18/0.51  ;     0.002   5%   Forward simplification       (95 calls)
% 0.18/0.51  ;     0.001   3%   Backward simplification      (71 calls)
% 0.18/0.51  ;     0.000   0%   Ordering                     (7 calls)
% 0.18/0.51  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.18/0.51  ;     0.000   0%   Purity testing               (1 call)
% 0.18/0.51  ;     0.024  63%   Other
% 0.18/0.51  ;     0.038        Total
% 0.18/0.51  ;     0.042        Real time
% 0.18/0.51  ; 
% 0.18/0.51  ; Term-hash-array has 57 terms in all.
% 0.18/0.51  ; Feature-vector-row-index has 32 entries (34 at peak, 46 added, 14 deleted).
% 0.18/0.51  ; Feature-vector-row-index has 67 nodes (87 at peak, 190 added, 123 deleted).
% 0.18/0.51  ;  Retrieved 21 possibly forward subsuming rows in 47 calls.
% 0.18/0.51  ;  Retrieved 1 possibly backward subsumed row in 46 calls.
% 0.18/0.51  ; Path-index has 62 entries (62 at peak, 96 added, 34 deleted).
% 0.18/0.51  ; Path-index has 88 nodes (88 at peak, 122 added, 34 deleted).
% 0.18/0.51  ; Trie-index has 62 entries (62 at peak, 96 added, 34 deleted).
% 0.18/0.51  ; Trie-index has 92 nodes (92 at peak, 126 added, 34 deleted).
% 0.18/0.51  ; Retrieved 43 generalization terms in 61 calls.
% 0.18/0.51  ; Retrieved 24 instance terms in 24 calls.
% 0.18/0.51  ; Retrieved 381 unifiable terms in 220 calls.
% 0.18/0.51  ; 
% 0.18/0.51  ; The agenda of rows to give has 12 entries:
% 0.18/0.51  ;     5 with value (4 4)           6 with value (4 5)            1 with value (4 7)
% 0.18/0.51  Evaluation took:
% 0.18/0.51    0.043 seconds of real time
% 0.18/0.51    0.034849 seconds of user run time
% 0.18/0.51    0.008044 seconds of system run time
% 0.18/0.51    0 calls to %EVAL
% 0.18/0.51    0 page faults and
% 0.18/0.51    4,753,760 bytes consed.
% 0.18/0.51  :PROOF-FOUND
% 0.18/0.51  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-07T16:00:18
% 0.18/0.51  :PROOF-FOUND
% 0.18/0.51  * 
%------------------------------------------------------------------------------