TSTP Solution File: KRS154+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : KRS154+1 : TPTP v8.1.0. Released v3.1.0.
% 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 03:29:04 EDT 2022

% Result   : Theorem 0.42s 0.59s
% Output   : Refutation 0.42s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   26
% Syntax   : Number of clauses     :   55 (  25 unt;   3 nHn;  53 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(38,axiom,
    ( cC110(X)
    | ~ cC102xcomp(X)
    | ~ cC108xcomp(X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_15) ).

cnf(52,axiom,
    ( cC114(X)
    | ~ cC112xcomp(X)
    | ~ cC96xcomp(X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_21) ).

cnf(55,axiom,
    ( cC116(X)
    | ~ cC114(X)
    | ~ cC80(X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_22) ).

cnf(106,axiom,
    ( cC136(X)
    | ~ cC134xcomp(X)
    | ~ cC116(X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_42) ).

cnf(230,axiom,
    ( cC56(X)
    | ~ cC4(X)
    | ~ cC10xcomp(X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_93) ).

cnf(233,axiom,
    ( cC58(X)
    | ~ cC34(X)
    | ~ cC56(X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_94) ).

cnf(292,axiom,
    ( cC80(X)
    | ~ cC78xcomp(X)
    | ~ cC76xcomp(X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_117) ).

cnf(337,axiom,
    ( cC94(X)
    | ~ cC86xcomp(X)
    | ~ cC92xcomp(X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_136) ).

cnf(360,axiom,
    cC102xcomp(iV822576),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_147) ).

cnf(361,axiom,
    cC108xcomp(iV822576),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_148) ).

cnf(362,axiom,
    cC4(iV822576),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_149) ).

cnf(364,axiom,
    cC112xcomp(iV822576),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_151) ).

cnf(365,axiom,
    cC76xcomp(iV822576),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_152) ).

cnf(366,axiom,
    cC96xcomp(iV822576),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_153) ).

cnf(371,axiom,
    cC78xcomp(iV822576),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_158) ).

cnf(373,axiom,
    cC134xcomp(iV822576),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_160) ).

cnf(374,axiom,
    cC86xcomp(iV822576),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_161) ).

cnf(375,axiom,
    cC34(iV822576),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_162) ).

cnf(379,axiom,
    cC10xcomp(iV822576),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_167) ).

cnf(380,axiom,
    cC92xcomp(iV822576),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_168) ).

cnf(381,negated_conjecture,
    ( ~ cowlThing('SKOLEMAAAV92')
    | cowlNothing('SKOLEMAAAV92')
    | ~ xsd_string('SKOLEMAAAV93')
    | xsd_integer('SKOLEMAAAV93')
    | ~ cC58(iV822576)
    | ~ cC116(iV822576)
    | ~ cC114(iV822576)
    | ~ cowlThing(iV822576)
    | ~ cC94(iV822576)
    | ~ cC80(iV822576)
    | ~ cC110(iV822576)
    | ~ cC136(iV822576)
    | ~ cC56(iV822576) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',the_axiom) ).

cnf(382,plain,
    ( ~ xsd_string('SKOLEMAAAV93')
    | xsd_integer('SKOLEMAAAV93')
    | ~ cC58(iV822576)
    | ~ cC116(iV822576)
    | ~ cC114(iV822576)
    | ~ cC94(iV822576)
    | ~ cC80(iV822576)
    | ~ cC110(iV822576)
    | ~ cC136(iV822576)
    | ~ cC56(iV822576) ),
    inference('REWRITE',[status(thm)],[381,2,1]) ).

cnf(383,negated_conjecture,
    ( ~ cowlThing('SKOLEMAAAV92')
    | cowlNothing('SKOLEMAAAV92')
    | xsd_string('SKOLEMAAAV93')
    | ~ xsd_integer('SKOLEMAAAV93')
    | ~ cC58(iV822576)
    | ~ cC116(iV822576)
    | ~ cC114(iV822576)
    | ~ cowlThing(iV822576)
    | ~ cC94(iV822576)
    | ~ cC80(iV822576)
    | ~ cC110(iV822576)
    | ~ cC136(iV822576)
    | ~ cC56(iV822576) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',the_axiom) ).

cnf(384,plain,
    ( xsd_string('SKOLEMAAAV93')
    | ~ xsd_integer('SKOLEMAAAV93')
    | ~ cC58(iV822576)
    | ~ cC116(iV822576)
    | ~ cC114(iV822576)
    | ~ cC94(iV822576)
    | ~ cC80(iV822576)
    | ~ cC110(iV822576)
    | ~ cC136(iV822576)
    | ~ cC56(iV822576) ),
    inference('REWRITE',[status(thm)],[383,2,1]) ).

cnf(405,plain,
    cC110(iV822576),
    inference('HYPERRESOLVE',[status(thm)],[38,360,361]) ).

cnf(406,plain,
    ( ~ xsd_string('SKOLEMAAAV93')
    | xsd_integer('SKOLEMAAAV93')
    | ~ cC58(iV822576)
    | ~ cC116(iV822576)
    | ~ cC114(iV822576)
    | ~ cC94(iV822576)
    | ~ cC80(iV822576)
    | ~ cC136(iV822576)
    | ~ cC56(iV822576) ),
    inference('REWRITE',[status(thm)],[382,405]) ).

cnf(407,plain,
    ( xsd_string('SKOLEMAAAV93')
    | ~ xsd_integer('SKOLEMAAAV93')
    | ~ cC58(iV822576)
    | ~ cC116(iV822576)
    | ~ cC114(iV822576)
    | ~ cC94(iV822576)
    | ~ cC80(iV822576)
    | ~ cC136(iV822576)
    | ~ cC56(iV822576) ),
    inference('REWRITE',[status(thm)],[384,405]) ).

cnf(410,plain,
    cC114(iV822576),
    inference('HYPERRESOLVE',[status(thm)],[52,364,366]) ).

cnf(411,plain,
    ( ~ xsd_string('SKOLEMAAAV93')
    | xsd_integer('SKOLEMAAAV93')
    | ~ cC58(iV822576)
    | ~ cC116(iV822576)
    | ~ cC94(iV822576)
    | ~ cC80(iV822576)
    | ~ cC136(iV822576)
    | ~ cC56(iV822576) ),
    inference('REWRITE',[status(thm)],[406,410]) ).

cnf(412,plain,
    ( xsd_string('SKOLEMAAAV93')
    | ~ xsd_integer('SKOLEMAAAV93')
    | ~ cC58(iV822576)
    | ~ cC116(iV822576)
    | ~ cC94(iV822576)
    | ~ cC80(iV822576)
    | ~ cC136(iV822576)
    | ~ cC56(iV822576) ),
    inference('REWRITE',[status(thm)],[407,410]) ).

cnf(437,plain,
    cC56(iV822576),
    inference('HYPERRESOLVE',[status(thm)],[230,362,379]) ).

cnf(438,plain,
    ( ~ xsd_string('SKOLEMAAAV93')
    | xsd_integer('SKOLEMAAAV93')
    | ~ cC58(iV822576)
    | ~ cC116(iV822576)
    | ~ cC94(iV822576)
    | ~ cC80(iV822576)
    | ~ cC136(iV822576) ),
    inference('REWRITE',[status(thm)],[411,437]) ).

cnf(439,plain,
    ( xsd_string('SKOLEMAAAV93')
    | ~ xsd_integer('SKOLEMAAAV93')
    | ~ cC58(iV822576)
    | ~ cC116(iV822576)
    | ~ cC94(iV822576)
    | ~ cC80(iV822576)
    | ~ cC136(iV822576) ),
    inference('REWRITE',[status(thm)],[412,437]) ).

cnf(447,plain,
    cC80(iV822576),
    inference('HYPERRESOLVE',[status(thm)],[292,371,365]) ).

cnf(448,plain,
    ( ~ xsd_string('SKOLEMAAAV93')
    | xsd_integer('SKOLEMAAAV93')
    | ~ cC58(iV822576)
    | ~ cC116(iV822576)
    | ~ cC94(iV822576)
    | ~ cC136(iV822576) ),
    inference('REWRITE',[status(thm)],[438,447]) ).

cnf(449,plain,
    ( xsd_string('SKOLEMAAAV93')
    | ~ xsd_integer('SKOLEMAAAV93')
    | ~ cC58(iV822576)
    | ~ cC116(iV822576)
    | ~ cC94(iV822576)
    | ~ cC136(iV822576) ),
    inference('REWRITE',[status(thm)],[439,447]) ).

cnf(459,plain,
    cC94(iV822576),
    inference('HYPERRESOLVE',[status(thm)],[337,374,380]) ).

cnf(460,plain,
    ( ~ xsd_string('SKOLEMAAAV93')
    | xsd_integer('SKOLEMAAAV93')
    | ~ cC58(iV822576)
    | ~ cC116(iV822576)
    | ~ cC136(iV822576) ),
    inference('REWRITE',[status(thm)],[448,459]) ).

cnf(461,plain,
    ( xsd_string('SKOLEMAAAV93')
    | ~ xsd_integer('SKOLEMAAAV93')
    | ~ cC58(iV822576)
    | ~ cC116(iV822576)
    | ~ cC136(iV822576) ),
    inference('REWRITE',[status(thm)],[449,459]) ).

cnf(467,plain,
    cC58(iV822576),
    inference('HYPERRESOLVE',[status(thm)],[233,437,375]) ).

cnf(468,plain,
    ( ~ xsd_string('SKOLEMAAAV93')
    | xsd_integer('SKOLEMAAAV93')
    | ~ cC116(iV822576)
    | ~ cC136(iV822576) ),
    inference('REWRITE',[status(thm)],[460,467]) ).

cnf(469,plain,
    ( xsd_string('SKOLEMAAAV93')
    | ~ xsd_integer('SKOLEMAAAV93')
    | ~ cC116(iV822576)
    | ~ cC136(iV822576) ),
    inference('REWRITE',[status(thm)],[461,467]) ).

cnf(470,plain,
    cC116(iV822576),
    inference('HYPERRESOLVE',[status(thm)],[55,447,410]) ).

cnf(471,plain,
    ( ~ xsd_string('SKOLEMAAAV93')
    | xsd_integer('SKOLEMAAAV93')
    | ~ cC136(iV822576) ),
    inference('REWRITE',[status(thm)],[468,470]) ).

cnf(472,plain,
    ( xsd_string('SKOLEMAAAV93')
    | ~ xsd_integer('SKOLEMAAAV93')
    | ~ cC136(iV822576) ),
    inference('REWRITE',[status(thm)],[469,470]) ).

cnf(488,plain,
    cC136(iV822576),
    inference('HYPERRESOLVE',[status(thm)],[106,470,373]) ).

cnf(489,plain,
    ( ~ xsd_string('SKOLEMAAAV93')
    | xsd_integer('SKOLEMAAAV93') ),
    inference('REWRITE',[status(thm)],[471,488]) ).

cnf(490,plain,
    ( xsd_string('SKOLEMAAAV93')
    | ~ xsd_integer('SKOLEMAAAV93') ),
    inference('REWRITE',[status(thm)],[472,488]) ).

cnf(491,plain,
    xsd_integer('SKOLEMAAAV93'),
    inference('HYPERRESOLVE',[status(thm)],[489,4]) ).

cnf(492,plain,
    xsd_string('SKOLEMAAAV93'),
    inference('REWRITE',[status(thm)],[490,491]) ).

cnf(493,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[3,492]),491]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : KRS154+1 : TPTP v8.1.0. Released v3.1.0.
% 0.03/0.13  % Command  : run-snark %s %d
% 0.14/0.34  % Computer : n019.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 600
% 0.14/0.34  % DateTime : Tue Jun  7 16:24:25 EDT 2022
% 0.14/0.34  % CPUTime  : 
% 0.20/0.46  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.47  * 
% 0.20/0.47  * 
% 0.20/0.48  #<PACKAGE "SNARK-USER">
% 0.20/0.48  * 
% 0.20/0.48  SNARK-TPTP-OPTIONS
% 0.20/0.48  * 
% 0.20/0.48  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.48   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.48   (USE-FACTORING :POS)
% 0.20/0.48   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.48   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.48   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.48   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.48   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.48   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.48   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.48   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.48   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.48   (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.48  * 
% 0.20/0.48  "."
% 0.20/0.48  * 
% 0.20/0.48  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-07T16:24:25
% 0.20/0.48  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n019.cluster.edu at 2022-06-07T16:24:25
% 0.42/0.59  
% 0.42/0.59  
% 0.42/0.59  #||
% 0.42/0.59  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.42/0.59  % SZS output start Refutation
% See solution above
% 0.42/0.59  ||#
% 0.42/0.59  
% 0.42/0.59  ; Summary of computation:
% 0.42/0.59  ;       618 formulas have been input or derived (from 417 formulas).
% 0.42/0.59  ;       493 (80%) were retained.  Of these,
% 0.42/0.59  ;           20 ( 4%) were simplified or subsumed later,
% 0.42/0.59  ;          473 (96%) are still being kept.
% 0.42/0.59  ; 
% 0.42/0.59  ; Run time in seconds excluding printing time:
% 0.42/0.59  ;     0.027  25%   Read assertion file          (1 call)
% 0.42/0.59  ;     0.013  12%   Assert                       (170 calls)
% 0.42/0.59  ;     0.026  24%   Process new row              (594 calls)
% 0.42/0.59  ;     0.007   6%   Resolution                   (832 calls)
% 0.42/0.59  ;     0.001   1%   Paramodulation               (416 calls)
% 0.42/0.59  ;     0.000   0%   Factoring                    (40 calls)
% 0.42/0.59  ;     0.002   2%   Condensing                   (416 calls)
% 0.42/0.59  ;     0.005   5%   Forward subsumption          (416 calls)
% 0.42/0.59  ;     0.004   4%   Backward subsumption         (416 calls)
% 0.42/0.59  ;     0.003   3%   Forward simplification       (594 calls)
% 0.42/0.59  ;     0.000   0%   Backward simplification      (491 calls)
% 0.42/0.59  ;     0.000   0%   Ordering                     (120 calls)
% 0.42/0.59  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.42/0.59  ;     0.001   1%   Purity testing               (1 call)
% 0.42/0.59  ;     0.021  19%   Other
% 0.42/0.59  ;     0.110        Total
% 0.42/0.59  ;     0.115        Real time
% 0.42/0.59  ; 
% 0.42/0.59  ; Term-hash-array has 442 terms in all.
% 0.42/0.59  ; Feature-vector-row-index has 398 entries (400 at peak, 416 added, 18 deleted).
% 0.42/0.59  ; Feature-vector-row-index has 358 nodes (375 at peak, 506 added, 148 deleted).
% 0.42/0.59  ;  Retrieved 358 possibly forward subsuming rows in 416 calls.
% 0.42/0.59  ;  Retrieved 304 possibly backward subsumed rows in 416 calls.
% 0.42/0.59  ; Path-index has 445 entries (445 at peak, 498 added, 53 deleted).
% 0.42/0.59  ; Path-index has 909 nodes (909 at peak, 962 added, 53 deleted).
% 0.42/0.59  ; Trie-index has 445 entries (445 at peak, 498 added, 53 deleted).
% 0.42/0.59  ; Trie-index has 852 nodes (852 at peak, 905 added, 53 deleted).
% 0.42/0.59  ; Retrieved 110 generalization terms in 132 calls.
% 0.42/0.59  ; Retrieved 74 instance terms in 74 calls.
% 0.42/0.59  ; Retrieved 2,424 unifiable terms in 1,586 calls.
% 0.42/0.59  ; 
% 0.42/0.59  ; The agenda of rows to give has 63 entries:
% 0.42/0.59  ;     1 with value (4 4)           3 with value (4 6)            1 with value (4 8)
% 0.42/0.59  ;    13 with value (4 5)          45 with value (4 7)
% 0.42/0.59  Evaluation took:
% 0.42/0.59    0.115 seconds of real time
% 0.42/0.59    0.09627 seconds of user run time
% 0.42/0.59    0.019005 seconds of system run time
% 0.42/0.59    0 calls to %EVAL
% 0.42/0.59    0 page faults and
% 0.42/0.59    9,941,352 bytes consed.
% 0.42/0.59  :PROOF-FOUND
% 0.42/0.59  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-07T16:24:25
% 0.42/0.59  :PROOF-FOUND
% 0.42/0.59  * 
%------------------------------------------------------------------------------