TSTP Solution File: KRS158+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : KRS158+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 03:29:05 EDT 2022

% Result   : Theorem 0.19s 0.50s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   19
% Syntax   : Number of clauses     :   42 (  18 unt;   3 nHn;  40 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(14,axiom,
    ( cC12(X)
    | ~ cC10xcomp(X)
    | ~ cC2xcomp(X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5) ).

cnf(17,axiom,
    ( cC14(X)
    | ~ rR1(X,Y)
    | ~ cC12(Y) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_6) ).

cnf(22,axiom,
    ( ~ cC18(X)
    | cC16(X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_8) ).

cnf(37,axiom,
    ( cC6(X)
    | ~ cC4xcomp(X)
    | ~ cC2xcomp(X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_14) ).

cnf(40,axiom,
    ( cC8(X)
    | ~ rR1(X,Y)
    | ~ cC6(Y) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_15) ).

cnf(42,axiom,
    ( ~ cTEST(X)
    | cC18(X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_16) ).

cnf(44,axiom,
    cTEST(iV16560),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_18) ).

cnf(46,axiom,
    rR1(iV16560,iV16562),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_20) ).

cnf(47,axiom,
    rR1(iV16560,iV16561),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_21) ).

cnf(49,axiom,
    cC4xcomp(iV16561),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_24) ).

cnf(50,axiom,
    cC2xcomp(iV16561),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_25) ).

cnf(52,axiom,
    cC10xcomp(iV16562),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_28) ).

cnf(53,axiom,
    cC2xcomp(iV16562),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_29) ).

cnf(54,negated_conjecture,
    ( ~ cowlThing('SKOLEMAAAV11')
    | cowlNothing('SKOLEMAAAV11')
    | ~ xsd_string('SKOLEMAAAV12')
    | xsd_integer('SKOLEMAAAV12')
    | ~ cC18(iV16560)
    | ~ cC14(iV16560)
    | ~ cC8(iV16560)
    | ~ cC16(iV16560)
    | ~ cowlThing(iV16560)
    | ~ cC6(iV16561)
    | ~ cowlThing(iV16561)
    | ~ cC12(iV16562)
    | ~ cowlThing(iV16562) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',the_axiom) ).

cnf(55,plain,
    ( ~ xsd_string('SKOLEMAAAV12')
    | xsd_integer('SKOLEMAAAV12')
    | ~ cC18(iV16560)
    | ~ cC14(iV16560)
    | ~ cC8(iV16560)
    | ~ cC16(iV16560)
    | ~ cC6(iV16561)
    | ~ cC12(iV16562) ),
    inference('REWRITE',[status(thm)],[54,2,1]) ).

cnf(56,negated_conjecture,
    ( ~ cowlThing('SKOLEMAAAV11')
    | cowlNothing('SKOLEMAAAV11')
    | xsd_string('SKOLEMAAAV12')
    | ~ xsd_integer('SKOLEMAAAV12')
    | ~ cC18(iV16560)
    | ~ cC14(iV16560)
    | ~ cC8(iV16560)
    | ~ cC16(iV16560)
    | ~ cowlThing(iV16560)
    | ~ cC6(iV16561)
    | ~ cowlThing(iV16561)
    | ~ cC12(iV16562)
    | ~ cowlThing(iV16562) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',the_axiom) ).

cnf(57,plain,
    ( xsd_string('SKOLEMAAAV12')
    | ~ xsd_integer('SKOLEMAAAV12')
    | ~ cC18(iV16560)
    | ~ cC14(iV16560)
    | ~ cC8(iV16560)
    | ~ cC16(iV16560)
    | ~ cC6(iV16561)
    | ~ cC12(iV16562) ),
    inference('REWRITE',[status(thm)],[56,2,1]) ).

cnf(58,plain,
    cC18(iV16560),
    inference('HYPERRESOLVE',[status(thm)],[42,44]) ).

cnf(59,plain,
    ( ~ xsd_string('SKOLEMAAAV12')
    | xsd_integer('SKOLEMAAAV12')
    | ~ cC14(iV16560)
    | ~ cC8(iV16560)
    | ~ cC16(iV16560)
    | ~ cC6(iV16561)
    | ~ cC12(iV16562) ),
    inference('REWRITE',[status(thm)],[55,58]) ).

cnf(60,plain,
    ( xsd_string('SKOLEMAAAV12')
    | ~ xsd_integer('SKOLEMAAAV12')
    | ~ cC14(iV16560)
    | ~ cC8(iV16560)
    | ~ cC16(iV16560)
    | ~ cC6(iV16561)
    | ~ cC12(iV16562) ),
    inference('REWRITE',[status(thm)],[57,58]) ).

cnf(64,plain,
    cC12(iV16562),
    inference('HYPERRESOLVE',[status(thm)],[14,52,53]) ).

cnf(65,plain,
    ( ~ xsd_string('SKOLEMAAAV12')
    | xsd_integer('SKOLEMAAAV12')
    | ~ cC14(iV16560)
    | ~ cC8(iV16560)
    | ~ cC16(iV16560)
    | ~ cC6(iV16561) ),
    inference('REWRITE',[status(thm)],[59,64]) ).

cnf(66,plain,
    ( xsd_string('SKOLEMAAAV12')
    | ~ xsd_integer('SKOLEMAAAV12')
    | ~ cC14(iV16560)
    | ~ cC8(iV16560)
    | ~ cC16(iV16560)
    | ~ cC6(iV16561) ),
    inference('REWRITE',[status(thm)],[60,64]) ).

cnf(71,plain,
    cC6(iV16561),
    inference('HYPERRESOLVE',[status(thm)],[37,49,50]) ).

cnf(72,plain,
    ( ~ xsd_string('SKOLEMAAAV12')
    | xsd_integer('SKOLEMAAAV12')
    | ~ cC14(iV16560)
    | ~ cC8(iV16560)
    | ~ cC16(iV16560) ),
    inference('REWRITE',[status(thm)],[65,71]) ).

cnf(73,plain,
    ( xsd_string('SKOLEMAAAV12')
    | ~ xsd_integer('SKOLEMAAAV12')
    | ~ cC14(iV16560)
    | ~ cC8(iV16560)
    | ~ cC16(iV16560) ),
    inference('REWRITE',[status(thm)],[66,71]) ).

cnf(76,plain,
    cC16(iV16560),
    inference('HYPERRESOLVE',[status(thm)],[22,58]) ).

cnf(77,plain,
    ( ~ xsd_string('SKOLEMAAAV12')
    | xsd_integer('SKOLEMAAAV12')
    | ~ cC14(iV16560)
    | ~ cC8(iV16560) ),
    inference('REWRITE',[status(thm)],[72,76]) ).

cnf(78,plain,
    ( xsd_string('SKOLEMAAAV12')
    | ~ xsd_integer('SKOLEMAAAV12')
    | ~ cC14(iV16560)
    | ~ cC8(iV16560) ),
    inference('REWRITE',[status(thm)],[73,76]) ).

cnf(79,plain,
    cC14(iV16560),
    inference('HYPERRESOLVE',[status(thm)],[17,64,46]) ).

cnf(80,plain,
    ( ~ xsd_string('SKOLEMAAAV12')
    | xsd_integer('SKOLEMAAAV12')
    | ~ cC8(iV16560) ),
    inference('REWRITE',[status(thm)],[77,79]) ).

cnf(81,plain,
    ( xsd_string('SKOLEMAAAV12')
    | ~ xsd_integer('SKOLEMAAAV12')
    | ~ cC8(iV16560) ),
    inference('REWRITE',[status(thm)],[78,79]) ).

cnf(82,plain,
    cC8(iV16560),
    inference('HYPERRESOLVE',[status(thm)],[40,71,47]) ).

cnf(83,plain,
    ( ~ xsd_string('SKOLEMAAAV12')
    | xsd_integer('SKOLEMAAAV12') ),
    inference('REWRITE',[status(thm)],[80,82]) ).

cnf(84,plain,
    ( xsd_string('SKOLEMAAAV12')
    | ~ xsd_integer('SKOLEMAAAV12') ),
    inference('REWRITE',[status(thm)],[81,82]) ).

cnf(85,plain,
    xsd_integer('SKOLEMAAAV12'),
    inference('HYPERRESOLVE',[status(thm)],[83,4]) ).

cnf(86,plain,
    xsd_string('SKOLEMAAAV12'),
    inference('REWRITE',[status(thm)],[84,85]) ).

cnf(87,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[3,86]),85]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : KRS158+1 : TPTP v8.1.0. Released v3.1.0.
% 0.06/0.13  % Command  : run-snark %s %d
% 0.13/0.34  % Computer : n017.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 13:34:17 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.19/0.45  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.46  * 
% 0.19/0.46  * 
% 0.19/0.46  #<PACKAGE "SNARK-USER">
% 0.19/0.46  * 
% 0.19/0.46  SNARK-TPTP-OPTIONS
% 0.19/0.46  * 
% 0.19/0.46  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.46   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.46   (USE-FACTORING :POS)
% 0.19/0.46   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.46   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.46   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.46   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.46   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.46   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.46   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.46   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.46   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.46   (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.46  * 
% 0.19/0.46  "."
% 0.19/0.46  * 
% 0.19/0.46  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-07T13:34:17
% 0.19/0.46  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n017.cluster.edu at 2022-06-07T13:34:17
% 0.19/0.50  
% 0.19/0.50  
% 0.19/0.50  #||
% 0.19/0.50  % SZS status Theorem for /export/starexec/sandbox2/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  ;       120 formulas have been input or derived (from 65 formulas).
% 0.19/0.51  ;        87 (72%) were retained.  Of these,
% 0.19/0.51  ;           16 (18%) were simplified or subsumed later,
% 0.19/0.51  ;           71 (82%) are still being kept.
% 0.19/0.51  ; 
% 0.19/0.51  ; Run time in seconds excluding printing time:
% 0.19/0.51  ;     0.005  12%   Read assertion file          (1 call)
% 0.19/0.51  ;     0.002   5%   Assert                       (31 calls)
% 0.19/0.51  ;     0.005  12%   Process new row              (108 calls)
% 0.19/0.51  ;     0.001   2%   Resolution                   (128 calls)
% 0.19/0.51  ;     0.000   0%   Paramodulation               (64 calls)
% 0.19/0.51  ;     0.000   0%   Factoring                    (4 calls)
% 0.19/0.51  ;     0.000   0%   Condensing                   (60 calls)
% 0.19/0.51  ;     0.000   0%   Forward subsumption          (60 calls)
% 0.19/0.51  ;     0.000   0%   Backward subsumption         (60 calls)
% 0.19/0.51  ;     0.002   5%   Forward simplification       (108 calls)
% 0.19/0.51  ;     0.002   5%   Backward simplification      (85 calls)
% 0.19/0.51  ;     0.000   0%   Ordering                     (11 calls)
% 0.19/0.51  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.19/0.51  ;     0.001   2%   Purity testing               (1 call)
% 0.19/0.51  ;     0.023  56%   Other
% 0.19/0.51  ;     0.041        Total
% 0.19/0.51  ;     0.046        Real time
% 0.19/0.51  ; 
% 0.19/0.51  ; Term-hash-array has 75 terms in all.
% 0.19/0.51  ; Feature-vector-row-index has 46 entries (48 at peak, 60 added, 14 deleted).
% 0.19/0.51  ; Feature-vector-row-index has 87 nodes (108 at peak, 210 added, 123 deleted).
% 0.19/0.51  ;  Retrieved 12 possibly forward subsuming rows in 60 calls.
% 0.19/0.51  ;  Retrieved 0 possibly backward subsumed rows in 60 calls.
% 0.19/0.51  ; Path-index has 80 entries (80 at peak, 114 added, 34 deleted).
% 0.19/0.51  ; Path-index has 139 nodes (139 at peak, 173 added, 34 deleted).
% 0.19/0.51  ; Trie-index has 80 entries (80 at peak, 114 added, 34 deleted).
% 0.19/0.51  ; Trie-index has 137 nodes (137 at peak, 171 added, 34 deleted).
% 0.19/0.51  ; Retrieved 34 generalization terms in 42 calls.
% 0.19/0.51  ; Retrieved 24 instance terms in 24 calls.
% 0.19/0.51  ; Retrieved 451 unifiable terms in 280 calls.
% 0.19/0.51  ; 
% 0.19/0.51  ; The agenda of rows to give has 13 entries:
% 0.19/0.51  ;     3 with value (4 4)           5 with value (4 5)            5 with value (4 7)
% 0.19/0.51  Evaluation took:
% 0.19/0.51    0.046 seconds of real time
% 0.19/0.51    0.042362 seconds of user run time
% 0.19/0.51    0.004211 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    4,876,528 bytes consed.
% 0.19/0.51  :PROOF-FOUND
% 0.19/0.51  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-07T13:34:17
% 0.19/0.51  :PROOF-FOUND
% 0.19/0.51  * 
%------------------------------------------------------------------------------