TSTP Solution File: NUN062+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : NUN062+1 : TPTP v8.1.0. Bugfixed v7.4.0.
% 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 : Mon Jul 18 16:38:15 EDT 2022

% Result   : Theorem 3.35s 3.54s
% Output   : Refutation 3.35s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    6
% Syntax   : Number of clauses     :    9 (   6 unt;   0 nHn;   4 RR)
%            Number of literals    :   15 (   0 equ;   7 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-3 aty)
%            Number of functors    :    4 (   4 usr;   1 con; 0-2 aty)
%            Number of variables   :   16 (   5 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(9,axiom,
    id(X,X),
    file('/export/starexec/sandbox2/benchmark/Axioms/NUM009+0.ax',axiom_5) ).

cnf(19,axiom,
    r3(X,Y,'SKOLEMAAAV8'(Y,X)),
    file('/export/starexec/sandbox2/benchmark/Axioms/NUM009+0.ax',axiom_1a) ).

cnf(21,axiom,
    r2(X,'SKOLEMAAAV11'(X,Y)),
    file('/export/starexec/sandbox2/benchmark/Axioms/NUM009+0.ax',axiom_2a) ).

cnf(37,axiom,
    ( ~ id(X,Y)
    | ~ r1(X)
    | ~ r2(Z,Y) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/NUM009+0.ax',axiom_7a) ).

cnf(38,negated_conjecture,
    ( id(X,'SKOLEMAAAV22'(X))
    | ~ id(Y,Z)
    | ~ r3('SKOLEMAAAV21',X,Y) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',infiniteNumbersid) ).

cnf(39,negated_conjecture,
    ( r1('SKOLEMAAAV22'(X))
    | ~ id(Y,Z)
    | ~ r3('SKOLEMAAAV21',X,Y) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',infiniteNumbersid) ).

cnf(139,plain,
    r1('SKOLEMAAAV22'(X)),
    inference('HYPERRESOLVE',[status(thm)],[39,9,19]) ).

cnf(140,plain,
    id(X,'SKOLEMAAAV22'(X)),
    inference('HYPERRESOLVE',[status(thm)],[38,9,19]) ).

cnf(4997,plain,
    $false,
    inference('HYPERRESOLVE',[status(thm)],[37,140,139,21]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : NUN062+1 : TPTP v8.1.0. Bugfixed v7.4.0.
% 0.12/0.13  % Command  : run-snark %s %d
% 0.13/0.34  % Computer : n024.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 : Thu Jun  2 04:19:36 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  * 
% 0.19/0.47  #<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 2022-06-02T04:19:36
% 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 2022-06-02T04:19:36
% 0.19/0.49  
% 0.19/0.49  ; Recognized commutativity assertion (OR (NOT (|id| ?X ?Y)) (|id| ?Y ?X)).
% 0.19/0.49  ; Recognized relation function assertion (|r4| ?X ?Y (SKOLEMAAAV12 ?X ?Y)).
% 3.35/3.54  ; Declaring id to be commutative.
% 3.35/3.54  
% 3.35/3.54  #||
% 3.35/3.54  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.35/3.54  % SZS output start Refutation
% See solution above
% 3.35/3.54  ||#
% 3.35/3.54  
% 3.35/3.54  ; Summary of computation:
% 3.35/3.54  ;     20025 formulas have been input or derived (from 58 formulas).
% 3.35/3.54  ;      4997 (25%) were retained.  Of these,
% 3.35/3.54  ;           66 ( 1%) were simplified or subsumed later,
% 3.35/3.54  ;         4931 (99%) are still being kept.
% 3.35/3.54  ; 
% 3.35/3.54  ; Run time in seconds excluding printing time:
% 3.35/3.54  ;     0.007   0%   Read assertion file          (1 call)
% 3.35/3.54  ;     0.003   0%   Assert                       (19 calls)
% 3.35/3.54  ;     0.387  13%   Process new row              (11,117 calls)
% 3.35/3.54  ;     2.035  67%   Resolution                   (114 calls)
% 3.35/3.54  ;     0.001   0%   Paramodulation               (57 calls)
% 3.35/3.54  ;     0.000   0%   Factoring                    (4 calls)
% 3.35/3.54  ;     0.052   2%   Condensing                   (4,493 calls)
% 3.35/3.54  ;     0.218   7%   Forward subsumption          (4,493 calls)
% 3.35/3.54  ;     0.089   3%   Backward subsumption         (3,335 calls)
% 3.35/3.54  ;     0.060   2%   Clause clause subsumption    (25,926 calls)
% 3.35/3.54  ;     0.119   4%   Forward simplification       (11,101 calls)
% 3.35/3.54  ;     0.020   1%   Backward simplification      (4,997 calls)
% 3.35/3.54  ;     0.012   0%   Ordering                     (8,647 calls)
% 3.35/3.54  ;     0.000   0%   Sortal reasoning             (32 calls)
% 3.35/3.54  ;     0.000   0%   Purity testing               (1 call)
% 3.35/3.54  ;     0.052   2%   Other
% 3.35/3.54  ;     3.055        Total
% 3.35/3.54  ;     3.068        Real time
% 3.35/3.54  ; 
% 3.35/3.54  ; Term-hash-array has 6,063 terms in all.
% 3.35/3.54  ; Feature-vector-row-index has 3,269 entries (3,269 at peak, 3,335 added, 66 deleted).
% 3.35/3.54  ; Feature-vector-row-index has 12,384 nodes (12,384 at peak, 12,742 added, 358 deleted).
% 3.35/3.54  ;  Retrieved 32,422 possibly forward subsuming rows in 4,493 calls.
% 3.35/3.54  ;  Retrieved 1,668 possibly backward subsumed rows in 3,335 calls.
% 3.35/3.54  ; Path-index has 5,998 entries (5,998 at peak, 6,065 added, 67 deleted).
% 3.35/3.54  ; Path-index has 6,195 nodes (6,195 at peak, 6,281 added, 86 deleted).
% 3.35/3.54  ; Trie-index has 5,998 entries (5,998 at peak, 6,065 added, 67 deleted).
% 3.35/3.54  ; Trie-index has 21,399 nodes (21,399 at peak, 21,634 added, 235 deleted).
% 3.35/3.54  ; Retrieved 13,908 generalization terms in 17,783 calls.
% 3.35/3.54  ; Retrieved 1,869 instance terms in 1,661 calls.
% 3.35/3.54  ; Retrieved 3,266,745 unifiable terms in 82,041 calls.
% 3.35/3.54  ; 
% 3.35/3.54  ; The agenda of rows to process has 8572 entries:
% 3.35/3.54  ;     1 with value 5             966 with value 18              96 with value 30
% 3.35/3.54  ;     4 with value 6             359 with value 19              89 with value 31
% 3.35/3.54  ;     5 with value 7             346 with value 20             121 with value 32
% 3.35/3.54  ;    14 with value 8             458 with value 21              84 with value 33
% 3.35/3.54  ;    60 with value 9             244 with value 22              69 with value 34
% 3.35/3.54  ;   126 with value 10            165 with value 23              23 with value 35
% 3.35/3.54  ;   103 with value 11            169 with value 24              20 with value 36
% 3.35/3.54  ;   244 with value 12            186 with value 25              22 with value 37
% 3.35/3.54  ;   544 with value 13            129 with value 26              46 with value 38
% 3.35/3.54  ;   703 with value 14            147 with value 27               2 with value 40
% 3.35/3.54  ;  1373 with value 15            150 with value 28              12 with value 42
% 3.35/3.54  ;   987 with value 16            148 with value 29               3 with value 46
% 3.35/3.54  ;   354 with value 17
% 3.35/3.54  ; The agenda of rows to give has 4875 entries:
% 3.35/3.54  ;     3 with value (4 7)         119 with value (4 22)          61 with value (4 37)
% 3.35/3.54  ;    12 with value (4 8)         127 with value (4 23)          44 with value (4 38)
% 3.35/3.54  ;    66 with value (4 9)         105 with value (4 24)          30 with value (4 39)
% 3.35/3.54  ;    68 with value (4 10)        159 with value (4 25)          60 with value (4 40)
% 3.35/3.54  ;    77 with value (4 11)        142 with value (4 26)          26 with value (4 41)
% 3.35/3.54  ;   122 with value (4 12)        171 with value (4 27)          38 with value (4 42)
% 3.35/3.54  ;   222 with value (4 13)        121 with value (4 28)          18 with value (4 43)
% 3.35/3.54  ;   187 with value (4 14)        170 with value (4 29)           3 with value (4 45)
% 3.35/3.54  ;   265 with value (4 15)        195 with value (4 30)          21 with value (4 46)
% 3.35/3.54  ;   283 with value (4 16)        235 with value (4 31)           6 with value (4 47)
% 3.35/3.54  ;   149 with value (4 17)        172 with value (4 32)          24 with value (4 48)
% 3.35/3.54  ;   343 with value (4 18)         97 with value (4 33)           3 with value (4 50)
% 3.35/3.54  ;   126 with value (4 19)        133 with value (4 34)           3 with value (4 51)
% 3.35/3.54  ;   226 with value (4 20)        111 with value (4 35)          12 with value (4 53)
% 3.35/3.54  ;   149 with value (4 21)        171 with value (4 36)
% 3.35/3.54  Evaluation took:
% 3.35/3.54    3.07 seconds of real time
% 3.35/3.54    2.931079 seconds of user run time
% 3.35/3.54    0.127242 seconds of system run time
% 3.35/3.54    [Run times include 0.276 seconds GC run time.]
% 3.35/3.54    0 calls to %EVAL
% 3.35/3.54    0 page faults and
% 3.35/3.54    243,944,552 bytes consed.
% 3.35/3.54  :PROOF-FOUND
% 3.35/3.54  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-02T04:19:39
% 3.35/3.54  :PROOF-FOUND
% 3.35/3.54  * 
%------------------------------------------------------------------------------