TSTP Solution File: KRS157+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : KRS157+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n025.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 0.38s 0.59s
% Output   : Refutation 0.38s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   22
% Syntax   : Number of clauses     :   48 (  21 unt;   3 nHn;  46 RR)
%            Number of literals    :  155 (   0 equ; 106 neg)
%            Maximal clause size   :   12 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   21 (  20 usr;   1 prp; 0-1 aty)
%            Number of functors    :    3 (   3 usr;   3 con; 0-0 aty)
%            Number of variables   :   11 (   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(113,axiom,
    ( cC14(X)
    | ~ cC2xcomp(X)
    | ~ cC12xcomp(X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_44) ).

cnf(332,axiom,
    ( cC28(X)
    | ~ cC16xcomp(X)
    | ~ cC26xcomp(X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_131) ).

cnf(372,axiom,
    ( cC44(X)
    | ~ cC42xcomp(X)
    | ~ cC32xcomp(X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_147) ).

cnf(373,axiom,
    ( ~ cC46(X)
    | cC30(X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_148) ).

cnf(421,axiom,
    ( cC64(X)
    | ~ cC62xcomp(X)
    | ~ cTOP(X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_166) ).

cnf(508,axiom,
    ( ~ cTEST(X)
    | cC216(X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_201) ).

cnf(509,axiom,
    ( ~ cTEST(X)
    | cC46(X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_201) ).

cnf(511,axiom,
    cTEST(iV3102),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_202) ).

cnf(512,axiom,
    cC2xcomp(iV3102),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_203) ).

cnf(514,axiom,
    cTOP(iV3102),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_205) ).

cnf(515,axiom,
    cC26xcomp(iV3102),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_206) ).

cnf(516,axiom,
    cC32xcomp(iV3102),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_207) ).

cnf(519,axiom,
    cC16xcomp(iV3102),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_210) ).

cnf(520,axiom,
    cC42xcomp(iV3102),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_211) ).

cnf(521,axiom,
    cC62xcomp(iV3102),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_212) ).

cnf(524,axiom,
    cC12xcomp(iV3102),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_215) ).

cnf(527,negated_conjecture,
    ( ~ cowlThing('SKOLEMAAAV149')
    | cowlNothing('SKOLEMAAAV149')
    | ~ xsd_string('SKOLEMAAAV150')
    | xsd_integer('SKOLEMAAAV150')
    | ~ cC14(iV3102)
    | ~ cC44(iV3102)
    | ~ cC216(iV3102)
    | ~ cC64(iV3102)
    | ~ cC46(iV3102)
    | ~ cC28(iV3102)
    | ~ cowlThing(iV3102)
    | ~ cC30(iV3102) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',the_axiom) ).

cnf(528,plain,
    ( ~ xsd_string('SKOLEMAAAV150')
    | xsd_integer('SKOLEMAAAV150')
    | ~ cC14(iV3102)
    | ~ cC44(iV3102)
    | ~ cC216(iV3102)
    | ~ cC64(iV3102)
    | ~ cC46(iV3102)
    | ~ cC28(iV3102)
    | ~ cC30(iV3102) ),
    inference('REWRITE',[status(thm)],[527,2,1]) ).

cnf(529,negated_conjecture,
    ( ~ cowlThing('SKOLEMAAAV149')
    | cowlNothing('SKOLEMAAAV149')
    | xsd_string('SKOLEMAAAV150')
    | ~ xsd_integer('SKOLEMAAAV150')
    | ~ cC14(iV3102)
    | ~ cC44(iV3102)
    | ~ cC216(iV3102)
    | ~ cC64(iV3102)
    | ~ cC46(iV3102)
    | ~ cC28(iV3102)
    | ~ cowlThing(iV3102)
    | ~ cC30(iV3102) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',the_axiom) ).

cnf(530,plain,
    ( xsd_string('SKOLEMAAAV150')
    | ~ xsd_integer('SKOLEMAAAV150')
    | ~ cC14(iV3102)
    | ~ cC44(iV3102)
    | ~ cC216(iV3102)
    | ~ cC64(iV3102)
    | ~ cC46(iV3102)
    | ~ cC28(iV3102)
    | ~ cC30(iV3102) ),
    inference('REWRITE',[status(thm)],[529,2,1]) ).

cnf(531,plain,
    cC216(iV3102),
    inference('HYPERRESOLVE',[status(thm)],[508,511]) ).

cnf(532,plain,
    ( ~ xsd_string('SKOLEMAAAV150')
    | xsd_integer('SKOLEMAAAV150')
    | ~ cC14(iV3102)
    | ~ cC44(iV3102)
    | ~ cC64(iV3102)
    | ~ cC46(iV3102)
    | ~ cC28(iV3102)
    | ~ cC30(iV3102) ),
    inference('REWRITE',[status(thm)],[528,531]) ).

cnf(533,plain,
    ( xsd_string('SKOLEMAAAV150')
    | ~ xsd_integer('SKOLEMAAAV150')
    | ~ cC14(iV3102)
    | ~ cC44(iV3102)
    | ~ cC64(iV3102)
    | ~ cC46(iV3102)
    | ~ cC28(iV3102)
    | ~ cC30(iV3102) ),
    inference('REWRITE',[status(thm)],[530,531]) ).

cnf(534,plain,
    cC46(iV3102),
    inference('HYPERRESOLVE',[status(thm)],[509,511]) ).

cnf(535,plain,
    ( ~ xsd_string('SKOLEMAAAV150')
    | xsd_integer('SKOLEMAAAV150')
    | ~ cC14(iV3102)
    | ~ cC44(iV3102)
    | ~ cC64(iV3102)
    | ~ cC28(iV3102)
    | ~ cC30(iV3102) ),
    inference('REWRITE',[status(thm)],[532,534]) ).

cnf(536,plain,
    ( xsd_string('SKOLEMAAAV150')
    | ~ xsd_integer('SKOLEMAAAV150')
    | ~ cC14(iV3102)
    | ~ cC44(iV3102)
    | ~ cC64(iV3102)
    | ~ cC28(iV3102)
    | ~ cC30(iV3102) ),
    inference('REWRITE',[status(thm)],[533,534]) ).

cnf(554,plain,
    cC14(iV3102),
    inference('HYPERRESOLVE',[status(thm)],[113,512,524]) ).

cnf(555,plain,
    ( ~ xsd_string('SKOLEMAAAV150')
    | xsd_integer('SKOLEMAAAV150')
    | ~ cC44(iV3102)
    | ~ cC64(iV3102)
    | ~ cC28(iV3102)
    | ~ cC30(iV3102) ),
    inference('REWRITE',[status(thm)],[535,554]) ).

cnf(556,plain,
    ( xsd_string('SKOLEMAAAV150')
    | ~ xsd_integer('SKOLEMAAAV150')
    | ~ cC44(iV3102)
    | ~ cC64(iV3102)
    | ~ cC28(iV3102)
    | ~ cC30(iV3102) ),
    inference('REWRITE',[status(thm)],[536,554]) ).

cnf(579,plain,
    cC28(iV3102),
    inference('HYPERRESOLVE',[status(thm)],[332,519,515]) ).

cnf(580,plain,
    ( ~ xsd_string('SKOLEMAAAV150')
    | xsd_integer('SKOLEMAAAV150')
    | ~ cC44(iV3102)
    | ~ cC64(iV3102)
    | ~ cC30(iV3102) ),
    inference('REWRITE',[status(thm)],[555,579]) ).

cnf(581,plain,
    ( xsd_string('SKOLEMAAAV150')
    | ~ xsd_integer('SKOLEMAAAV150')
    | ~ cC44(iV3102)
    | ~ cC64(iV3102)
    | ~ cC30(iV3102) ),
    inference('REWRITE',[status(thm)],[556,579]) ).

cnf(587,plain,
    cC44(iV3102),
    inference('HYPERRESOLVE',[status(thm)],[372,520,516]) ).

cnf(588,plain,
    ( ~ xsd_string('SKOLEMAAAV150')
    | xsd_integer('SKOLEMAAAV150')
    | ~ cC64(iV3102)
    | ~ cC30(iV3102) ),
    inference('REWRITE',[status(thm)],[580,587]) ).

cnf(589,plain,
    ( xsd_string('SKOLEMAAAV150')
    | ~ xsd_integer('SKOLEMAAAV150')
    | ~ cC64(iV3102)
    | ~ cC30(iV3102) ),
    inference('REWRITE',[status(thm)],[581,587]) ).

cnf(594,plain,
    cC64(iV3102),
    inference('HYPERRESOLVE',[status(thm)],[421,521,514]) ).

cnf(595,plain,
    ( ~ xsd_string('SKOLEMAAAV150')
    | xsd_integer('SKOLEMAAAV150')
    | ~ cC30(iV3102) ),
    inference('REWRITE',[status(thm)],[588,594]) ).

cnf(596,plain,
    ( xsd_string('SKOLEMAAAV150')
    | ~ xsd_integer('SKOLEMAAAV150')
    | ~ cC30(iV3102) ),
    inference('REWRITE',[status(thm)],[589,594]) ).

cnf(605,plain,
    cC30(iV3102),
    inference('HYPERRESOLVE',[status(thm)],[373,534]) ).

cnf(606,plain,
    ( ~ xsd_string('SKOLEMAAAV150')
    | xsd_integer('SKOLEMAAAV150') ),
    inference('REWRITE',[status(thm)],[595,605]) ).

cnf(607,plain,
    ( xsd_string('SKOLEMAAAV150')
    | ~ xsd_integer('SKOLEMAAAV150') ),
    inference('REWRITE',[status(thm)],[596,605]) ).

cnf(608,plain,
    xsd_integer('SKOLEMAAAV150'),
    inference('HYPERRESOLVE',[status(thm)],[606,4]) ).

cnf(609,plain,
    xsd_string('SKOLEMAAAV150'),
    inference('REWRITE',[status(thm)],[607,608]) ).

cnf(610,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[3,609]),608]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem  : KRS157+1 : TPTP v8.1.0. Released v3.1.0.
% 0.06/0.12  % Command  : run-snark %s %d
% 0.12/0.33  % Computer : n025.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 16:27:34 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.19/0.44  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.45  * 
% 0.19/0.45  * 
% 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 2022-06-07T16:27:34
% 0.19/0.46  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n025.cluster.edu at 2022-06-07T16:27:34
% 0.38/0.59  
% 0.38/0.59  
% 0.38/0.59  #||
% 0.38/0.59  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.38/0.59  % SZS output start Refutation
% See solution above
% 0.38/0.59  ||#
% 0.38/0.59  
% 0.38/0.59  ; Summary of computation:
% 0.38/0.59  ;       635 formulas have been input or derived (from 533 formulas).
% 0.38/0.59  ;       610 (96%) were retained.  Of these,
% 0.38/0.59  ;           18 ( 3%) were simplified or subsumed later,
% 0.38/0.59  ;          592 (97%) are still being kept.
% 0.38/0.59  ; 
% 0.38/0.59  ; Run time in seconds excluding printing time:
% 0.38/0.59  ;     0.037  28%   Read assertion file          (1 call)
% 0.38/0.59  ;     0.016  12%   Assert                       (220 calls)
% 0.38/0.59  ;     0.018  14%   Process new row              (623 calls)
% 0.38/0.59  ;     0.007   5%   Resolution                   (1,064 calls)
% 0.38/0.59  ;     0.001   1%   Paramodulation               (532 calls)
% 0.38/0.59  ;     0.000   0%   Factoring                    (48 calls)
% 0.38/0.59  ;     0.004   3%   Condensing                   (576 calls)
% 0.38/0.59  ;     0.004   3%   Forward subsumption          (576 calls)
% 0.38/0.59  ;     0.010   8%   Backward subsumption         (576 calls)
% 0.38/0.59  ;     0.005   4%   Forward simplification       (623 calls)
% 0.38/0.59  ;     0.000   0%   Backward simplification      (608 calls)
% 0.38/0.59  ;     0.000   0%   Ordering                     (153 calls)
% 0.38/0.59  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.38/0.59  ;     0.002   2%   Purity testing               (1 call)
% 0.38/0.59  ;     0.027  21%   Other
% 0.38/0.59  ;     0.131        Total
% 0.38/0.59  ;     0.134        Real time
% 0.38/0.59  ; 
% 0.38/0.59  ; Term-hash-array has 633 terms in all.
% 0.38/0.59  ; Feature-vector-row-index has 560 entries (562 at peak, 576 added, 16 deleted).
% 0.38/0.59  ; Feature-vector-row-index has 445 nodes (459 at peak, 579 added, 134 deleted).
% 0.38/0.59  ;  Retrieved 649 possibly forward subsuming rows in 576 calls.
% 0.38/0.59  ;  Retrieved 581 possibly backward subsumed rows in 576 calls.
% 0.38/0.59  ; Path-index has 636 entries (636 at peak, 679 added, 43 deleted).
% 0.38/0.59  ; Path-index has 1,304 nodes (1,304 at peak, 1,347 added, 43 deleted).
% 0.38/0.59  ; Trie-index has 636 entries (636 at peak, 679 added, 43 deleted).
% 0.38/0.59  ; Trie-index has 1,218 nodes (1,218 at peak, 1,261 added, 43 deleted).
% 0.38/0.59  ; Retrieved 22 generalization terms in 31 calls.
% 0.38/0.59  ; Retrieved 31 instance terms in 31 calls.
% 0.38/0.59  ; Retrieved 9,093 unifiable terms in 1,784 calls.
% 0.38/0.59  ; 
% 0.38/0.59  ; The agenda of rows to give has 62 entries:
% 0.38/0.59  ;     5 with value (4 4)           6 with value (4 5)           51 with value (4 7)
% 0.38/0.59  Evaluation took:
% 0.38/0.59    0.134 seconds of real time
% 0.38/0.59    0.12029 seconds of user run time
% 0.38/0.59    0.013903 seconds of system run time
% 0.38/0.59    0 calls to %EVAL
% 0.38/0.59    0 page faults and
% 0.38/0.59    11,619,848 bytes consed.
% 0.38/0.59  :PROOF-FOUND
% 0.38/0.59  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-07T16:27:34
% 0.38/0.59  :PROOF-FOUND
% 0.38/0.59  * 
%------------------------------------------------------------------------------