TSTP Solution File: KRS146+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : KRS146+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n024.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 03:29:02 EDT 2022

% Result   : Theorem 0.39s 0.56s
% Output   : Refutation 0.39s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   26
% Syntax   : Number of clauses     :   55 (  25 unt;   9 nHn;  49 RR)
%            Number of literals    :  187 (   0 equ; 131 neg)
%            Maximal clause size   :   13 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   25 (  24 usr;   1 prp; 0-1 aty)
%            Number of functors    :    3 (   3 usr;   3 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(22,axiom,
    ( cC110(X)
    | cC102(X)
    | cC108(X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_7) ).

cnf(28,axiom,
    ( cC114(X)
    | cC96(X)
    | cC112(X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_9) ).

cnf(31,axiom,
    ( cC116(X)
    | ~ cC114(X)
    | ~ cC80(X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_10) ).

cnf(64,axiom,
    ( cC136(X)
    | ~ cC116(X)
    | cC134(X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_21) ).

cnf(130,axiom,
    ( cC56(X)
    | ~ cC4(X)
    | cC10(X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_43) ).

cnf(133,axiom,
    ( cC58(X)
    | ~ cC34(X)
    | ~ cC56(X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_44) ).

cnf(172,axiom,
    ( cC80(X)
    | cC78(X)
    | cC76(X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_57) ).

cnf(193,axiom,
    ( cC94(X)
    | cC86(X)
    | cC92(X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_64) ).

cnf(205,axiom,
    ~ cC102(iV822576),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_70) ).

cnf(206,axiom,
    ~ cC134(iV822576),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_71) ).

cnf(209,axiom,
    cC34(iV822576),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_74) ).

cnf(210,axiom,
    cC4(iV822576),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_75) ).

cnf(211,axiom,
    ~ cC96(iV822576),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_76) ).

cnf(212,axiom,
    ~ cC86(iV822576),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_77) ).

cnf(213,axiom,
    ~ cC92(iV822576),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_78) ).

cnf(214,axiom,
    ~ cC108(iV822576),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_79) ).

cnf(218,axiom,
    ~ cC10(iV822576),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_84) ).

cnf(220,axiom,
    ~ cC76(iV822576),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_86) ).

cnf(221,axiom,
    ~ cC112(iV822576),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_87) ).

cnf(222,axiom,
    ~ cC78(iV822576),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_88) ).

cnf(225,negated_conjecture,
    ( ~ cowlThing('SKOLEMAAAV14')
    | cowlNothing('SKOLEMAAAV14')
    | ~ xsd_string('SKOLEMAAAV15')
    | xsd_integer('SKOLEMAAAV15')
    | ~ cC94(iV822576)
    | ~ cowlThing(iV822576)
    | ~ cC58(iV822576)
    | ~ cC116(iV822576)
    | ~ cC56(iV822576)
    | ~ cC110(iV822576)
    | ~ cC114(iV822576)
    | ~ cC136(iV822576)
    | ~ cC80(iV822576) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',the_axiom) ).

cnf(226,plain,
    ( ~ xsd_string('SKOLEMAAAV15')
    | xsd_integer('SKOLEMAAAV15')
    | ~ cC94(iV822576)
    | ~ cC58(iV822576)
    | ~ cC116(iV822576)
    | ~ cC56(iV822576)
    | ~ cC110(iV822576)
    | ~ cC114(iV822576)
    | ~ cC136(iV822576)
    | ~ cC80(iV822576) ),
    inference('REWRITE',[status(thm)],[225,2,1]) ).

cnf(227,negated_conjecture,
    ( ~ cowlThing('SKOLEMAAAV14')
    | cowlNothing('SKOLEMAAAV14')
    | xsd_string('SKOLEMAAAV15')
    | ~ xsd_integer('SKOLEMAAAV15')
    | ~ cC94(iV822576)
    | ~ cowlThing(iV822576)
    | ~ cC58(iV822576)
    | ~ cC116(iV822576)
    | ~ cC56(iV822576)
    | ~ cC110(iV822576)
    | ~ cC114(iV822576)
    | ~ cC136(iV822576)
    | ~ cC80(iV822576) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',the_axiom) ).

cnf(228,plain,
    ( xsd_string('SKOLEMAAAV15')
    | ~ xsd_integer('SKOLEMAAAV15')
    | ~ cC94(iV822576)
    | ~ cC58(iV822576)
    | ~ cC116(iV822576)
    | ~ cC56(iV822576)
    | ~ cC110(iV822576)
    | ~ cC114(iV822576)
    | ~ cC136(iV822576)
    | ~ cC80(iV822576) ),
    inference('REWRITE',[status(thm)],[227,2,1]) ).

cnf(241,plain,
    cC110(iV822576),
    inference('UR-RESOLVE',[status(thm)],[22,205,214]) ).

cnf(242,plain,
    ( ~ xsd_string('SKOLEMAAAV15')
    | xsd_integer('SKOLEMAAAV15')
    | ~ cC94(iV822576)
    | ~ cC58(iV822576)
    | ~ cC116(iV822576)
    | ~ cC56(iV822576)
    | ~ cC114(iV822576)
    | ~ cC136(iV822576)
    | ~ cC80(iV822576) ),
    inference('REWRITE',[status(thm)],[226,241]) ).

cnf(243,plain,
    ( xsd_string('SKOLEMAAAV15')
    | ~ xsd_integer('SKOLEMAAAV15')
    | ~ cC94(iV822576)
    | ~ cC58(iV822576)
    | ~ cC116(iV822576)
    | ~ cC56(iV822576)
    | ~ cC114(iV822576)
    | ~ cC136(iV822576)
    | ~ cC80(iV822576) ),
    inference('REWRITE',[status(thm)],[228,241]) ).

cnf(244,plain,
    cC114(iV822576),
    inference('UR-RESOLVE',[status(thm)],[28,211,221]) ).

cnf(245,plain,
    ( ~ xsd_string('SKOLEMAAAV15')
    | xsd_integer('SKOLEMAAAV15')
    | ~ cC94(iV822576)
    | ~ cC58(iV822576)
    | ~ cC116(iV822576)
    | ~ cC56(iV822576)
    | ~ cC136(iV822576)
    | ~ cC80(iV822576) ),
    inference('REWRITE',[status(thm)],[242,244]) ).

cnf(246,plain,
    ( xsd_string('SKOLEMAAAV15')
    | ~ xsd_integer('SKOLEMAAAV15')
    | ~ cC94(iV822576)
    | ~ cC58(iV822576)
    | ~ cC116(iV822576)
    | ~ cC56(iV822576)
    | ~ cC136(iV822576)
    | ~ cC80(iV822576) ),
    inference('REWRITE',[status(thm)],[243,244]) ).

cnf(256,plain,
    cC56(iV822576),
    inference('UR-RESOLVE',[status(thm)],[130,210,218]) ).

cnf(257,plain,
    ( ~ xsd_string('SKOLEMAAAV15')
    | xsd_integer('SKOLEMAAAV15')
    | ~ cC94(iV822576)
    | ~ cC58(iV822576)
    | ~ cC116(iV822576)
    | ~ cC136(iV822576)
    | ~ cC80(iV822576) ),
    inference('REWRITE',[status(thm)],[245,256]) ).

cnf(258,plain,
    ( xsd_string('SKOLEMAAAV15')
    | ~ xsd_integer('SKOLEMAAAV15')
    | ~ cC94(iV822576)
    | ~ cC58(iV822576)
    | ~ cC116(iV822576)
    | ~ cC136(iV822576)
    | ~ cC80(iV822576) ),
    inference('REWRITE',[status(thm)],[246,256]) ).

cnf(260,plain,
    cC80(iV822576),
    inference('UR-RESOLVE',[status(thm)],[172,222,220]) ).

cnf(261,plain,
    ( ~ xsd_string('SKOLEMAAAV15')
    | xsd_integer('SKOLEMAAAV15')
    | ~ cC94(iV822576)
    | ~ cC58(iV822576)
    | ~ cC116(iV822576)
    | ~ cC136(iV822576) ),
    inference('REWRITE',[status(thm)],[257,260]) ).

cnf(262,plain,
    ( xsd_string('SKOLEMAAAV15')
    | ~ xsd_integer('SKOLEMAAAV15')
    | ~ cC94(iV822576)
    | ~ cC58(iV822576)
    | ~ cC116(iV822576)
    | ~ cC136(iV822576) ),
    inference('REWRITE',[status(thm)],[258,260]) ).

cnf(264,plain,
    cC94(iV822576),
    inference('UR-RESOLVE',[status(thm)],[193,212,213]) ).

cnf(265,plain,
    ( ~ xsd_string('SKOLEMAAAV15')
    | xsd_integer('SKOLEMAAAV15')
    | ~ cC58(iV822576)
    | ~ cC116(iV822576)
    | ~ cC136(iV822576) ),
    inference('REWRITE',[status(thm)],[261,264]) ).

cnf(266,plain,
    ( xsd_string('SKOLEMAAAV15')
    | ~ xsd_integer('SKOLEMAAAV15')
    | ~ cC58(iV822576)
    | ~ cC116(iV822576)
    | ~ cC136(iV822576) ),
    inference('REWRITE',[status(thm)],[262,264]) ).

cnf(270,plain,
    cC116(iV822576),
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[31,244,172]),220,222]) ).

cnf(271,plain,
    ( ~ xsd_string('SKOLEMAAAV15')
    | xsd_integer('SKOLEMAAAV15')
    | ~ cC58(iV822576)
    | ~ cC136(iV822576) ),
    inference('REWRITE',[status(thm)],[265,270]) ).

cnf(272,plain,
    ( xsd_string('SKOLEMAAAV15')
    | ~ xsd_integer('SKOLEMAAAV15')
    | ~ cC58(iV822576)
    | ~ cC136(iV822576) ),
    inference('REWRITE',[status(thm)],[266,270]) ).

cnf(275,plain,
    cC58(iV822576),
    inference('HYPERRESOLVE',[status(thm)],[133,256,209]) ).

cnf(276,plain,
    ( ~ xsd_string('SKOLEMAAAV15')
    | xsd_integer('SKOLEMAAAV15')
    | ~ cC136(iV822576) ),
    inference('REWRITE',[status(thm)],[271,275]) ).

cnf(277,plain,
    ( xsd_string('SKOLEMAAAV15')
    | ~ xsd_integer('SKOLEMAAAV15')
    | ~ cC136(iV822576) ),
    inference('REWRITE',[status(thm)],[272,275]) ).

cnf(279,plain,
    cC136(iV822576),
    inference('UR-RESOLVE',[status(thm)],[64,270,206]) ).

cnf(280,plain,
    ( ~ xsd_string('SKOLEMAAAV15')
    | xsd_integer('SKOLEMAAAV15') ),
    inference('REWRITE',[status(thm)],[276,279]) ).

cnf(281,plain,
    ( xsd_string('SKOLEMAAAV15')
    | ~ xsd_integer('SKOLEMAAAV15') ),
    inference('REWRITE',[status(thm)],[277,279]) ).

cnf(282,plain,
    xsd_integer('SKOLEMAAAV15'),
    inference('HYPERRESOLVE',[status(thm)],[280,4]) ).

cnf(283,plain,
    xsd_string('SKOLEMAAAV15'),
    inference('REWRITE',[status(thm)],[281,282]) ).

cnf(284,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[3,283]),282]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem  : KRS146+1 : TPTP v8.1.0. Released v3.1.0.
% 0.04/0.13  % Command  : run-snark %s %d
% 0.12/0.33  % Computer : n024.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 14:35:35 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.19/0.45  /export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p 2022-06-07T14:35:35
% 0.19/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n024.cluster.edu at 2022-06-07T14:35:35
% 0.39/0.56  
% 0.39/0.56  
% 0.39/0.56  #||
% 0.39/0.56  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.39/0.56  % SZS output start Refutation
% See solution above
% 0.39/0.57  ||#
% 0.39/0.57  
% 0.39/0.57  ; Summary of computation:
% 0.39/0.57  ;       389 formulas have been input or derived (from 260 formulas).
% 0.39/0.57  ;       284 (73%) were retained.  Of these,
% 0.39/0.57  ;           20 ( 7%) were simplified or subsumed later,
% 0.39/0.57  ;          264 (93%) are still being kept.
% 0.39/0.57  ; 
% 0.39/0.57  ; Run time in seconds excluding printing time:
% 0.39/0.57  ;     0.015  17%   Read assertion file          (1 call)
% 0.39/0.57  ;     0.006   7%   Assert                       (92 calls)
% 0.39/0.57  ;     0.011  13%   Process new row              (382 calls)
% 0.39/0.57  ;     0.005   6%   Resolution                   (518 calls)
% 0.39/0.57  ;     0.003   3%   Paramodulation               (259 calls)
% 0.39/0.57  ;     0.000   0%   Factoring                    (9 calls)
% 0.39/0.57  ;     0.002   2%   Condensing                   (227 calls)
% 0.39/0.57  ;     0.006   7%   Forward subsumption          (227 calls)
% 0.39/0.57  ;     0.001   1%   Backward subsumption         (227 calls)
% 0.39/0.57  ;     0.006   7%   Forward simplification       (382 calls)
% 0.39/0.57  ;     0.002   2%   Backward simplification      (282 calls)
% 0.39/0.57  ;     0.000   0%   Ordering                     (52 calls)
% 0.39/0.57  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.39/0.57  ;     0.001   1%   Purity testing               (1 call)
% 0.39/0.57  ;     0.029  33%   Other
% 0.39/0.57  ;     0.087        Total
% 0.39/0.57  ;     0.098        Real time
% 0.39/0.57  ; 
% 0.39/0.57  ; Term-hash-array has 186 terms in all.
% 0.39/0.57  ; Feature-vector-row-index has 209 entries (211 at peak, 227 added, 18 deleted).
% 0.39/0.57  ; Feature-vector-row-index has 233 nodes (249 at peak, 383 added, 150 deleted).
% 0.39/0.57  ;  Retrieved 327 possibly forward subsuming rows in 227 calls.
% 0.39/0.57  ;  Retrieved 110 possibly backward subsumed rows in 227 calls.
% 0.39/0.57  ; Path-index has 189 entries (189 at peak, 242 added, 53 deleted).
% 0.39/0.57  ; Path-index has 295 nodes (295 at peak, 348 added, 53 deleted).
% 0.39/0.57  ; Trie-index has 189 entries (189 at peak, 242 added, 53 deleted).
% 0.39/0.57  ; Trie-index has 294 nodes (294 at peak, 347 added, 53 deleted).
% 0.39/0.57  ; Retrieved 133 generalization terms in 143 calls.
% 0.39/0.57  ; Retrieved 54 instance terms in 54 calls.
% 0.39/0.57  ; Retrieved 1,746 unifiable terms in 1,055 calls.
% 0.39/0.57  ; 
% 0.39/0.57  ; The agenda of rows to give has 11 entries:
% 0.39/0.57  ;     1 with value (4 4)           2 with value (4 7)            1 with value (4 11)
% 0.39/0.57  ;     2 with value (4 5)           2 with value (4 10)           1 with value (4 13)
% 0.39/0.57  ;     2 with value (4 6)
% 0.39/0.57  Evaluation took:
% 0.39/0.57    0.099 seconds of real time
% 0.39/0.57    0.074364 seconds of user run time
% 0.39/0.57    0.018885 seconds of system run time
% 0.39/0.57    0 calls to %EVAL
% 0.39/0.57    0 page faults and
% 0.39/0.57    7,669,272 bytes consed.
% 0.39/0.57  :PROOF-FOUND
% 0.39/0.57  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-07T14:35:35
% 0.39/0.57  :PROOF-FOUND
% 0.39/0.57  * 
%------------------------------------------------------------------------------