TSTP Solution File: NUN081+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : NUN081+1 : TPTP v8.1.0. Released v7.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n028.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 16:38:19 EDT 2022

% Result   : Theorem 1.08s 1.26s
% Output   : Refutation 1.08s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    1
%            Number of leaves      :    6
% Syntax   : Number of clauses     :    7 (   6 unt;   0 nHn;   2 RR)
%            Number of literals    :   12 (   0 equ;   6 neg)
%            Maximal clause size   :    6 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-3 aty)
%            Number of functors    :    5 (   5 usr;   0 con; 1-2 aty)
%            Number of variables   :   14 (   5 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(16,axiom,
    r2(X,'SKOLEMAAAV7'(X,Y)),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM009+0.ax',axiom_1a) ).

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

cnf(26,axiom,
    id('SKOLEMAAAV13'(X),X),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM009+0.ax',axiom_4a) ).

cnf(28,axiom,
    r3(X,'SKOLEMAAAV14'(X),'SKOLEMAAAV13'(X)),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM009+0.ax',axiom_4a) ).

cnf(32,axiom,
    r1('SKOLEMAAAV17'(X)),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM009+0.ax',axiom_5a) ).

cnf(38,negated_conjecture,
    ( ~ r3(X,Y,Z)
    | ~ id(Z,U)
    | ~ r2(V,U)
    | ~ r2(W,V)
    | ~ r1(X1)
    | ~ r2(X1,W) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',xplusyidthree) ).

cnf(2692,plain,
    $false,
    inference('HYPERRESOLVE',[status(thm)],[38,28,26,21,21,32,16]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem  : NUN081+1 : TPTP v8.1.0. Released v7.3.0.
% 0.06/0.12  % Command  : run-snark %s %d
% 0.12/0.33  % Computer : n028.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 : Thu Jun  2 03:51:53 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.19/0.44  /export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p 2022-06-02T03:51:53
% 0.19/0.46  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n028.cluster.edu at 2022-06-02T03:51:53
% 0.19/0.48  
% 0.19/0.48  ; Recognized commutativity assertion (OR (NOT (|id| ?X ?Y)) (|id| ?Y ?X)).
% 0.19/0.48  ; Recognized relation function assertion (|r4| ?X ?Y (SKOLEMAAAV12 ?X ?Y)).
% 1.08/1.26  ; Declaring id to be commutative.
% 1.08/1.26  
% 1.08/1.26  #||
% 1.08/1.26  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.08/1.26  % SZS output start Refutation
% See solution above
% 1.08/1.26  ||#
% 1.08/1.26  
% 1.08/1.26  ; Summary of computation:
% 1.08/1.26  ;      5674 formulas have been input or derived (from 39 formulas).
% 1.08/1.26  ;      2692 (47%) were retained.  Of these,
% 1.08/1.26  ;            8 ( 0%) were simplified or subsumed later,
% 1.08/1.26  ;         2684 (100%) are still being kept.
% 1.08/1.26  ; 
% 1.08/1.26  ; Run time in seconds:
% 1.08/1.26  ;     0.007   1%   Read assertion file          (1 call)
% 1.08/1.26  ;     0.001   0%   Assert                       (19 calls)
% 1.08/1.26  ;     0.201  25%   Process new row              (5,165 calls)
% 1.08/1.26  ;     0.191  24%   Resolution                   (76 calls)
% 1.08/1.26  ;     0.001   0%   Paramodulation               (38 calls)
% 1.08/1.26  ;     0.000   0%   Factoring                    (4 calls)
% 1.08/1.26  ;     0.023   3%   Condensing                   (2,646 calls)
% 1.08/1.26  ;     0.109  14%   Forward subsumption          (2,646 calls)
% 1.08/1.26  ;     0.093  12%   Backward subsumption         (1,986 calls)
% 1.08/1.26  ;     0.042   5%   Clause clause subsumption    (14,362 calls)
% 1.08/1.26  ;     0.059   7%   Forward simplification       (5,165 calls)
% 1.08/1.26  ;     0.015   2%   Backward simplification      (2,692 calls)
% 1.08/1.26  ;     0.005   1%   Ordering                     (5,222 calls)
% 1.08/1.26  ;     0.001   0%   Sortal reasoning             (32 calls)
% 1.08/1.26  ;     0.000   0%   Purity testing               (1 call)
% 1.08/1.26  ;     0.051   6%   Other
% 1.08/1.26  ;     0.799        Total
% 1.08/1.26  ;     0.800        Real time
% 1.08/1.26  ; 
% 1.08/1.26  ; Term-hash-array has 3,388 terms in all.
% 1.08/1.26  ; Feature-vector-row-index has 1,978 entries (1,978 at peak, 1,986 added, 8 deleted).
% 1.08/1.26  ; Feature-vector-row-index has 7,203 nodes (7,203 at peak, 7,245 added, 42 deleted).
% 1.08/1.26  ;  Retrieved 17,657 possibly forward subsuming rows in 2,646 calls.
% 1.08/1.26  ;  Retrieved 575 possibly backward subsumed rows in 1,986 calls.
% 1.08/1.26  ; Path-index has 3,382 entries (3,382 at peak, 3,389 added, 7 deleted).
% 1.08/1.26  ; Path-index has 5,175 nodes (5,175 at peak, 5,182 added, 7 deleted).
% 1.08/1.26  ; Trie-index has 3,382 entries (3,382 at peak, 3,389 added, 7 deleted).
% 1.08/1.26  ; Trie-index has 13,152 nodes (13,152 at peak, 13,168 added, 16 deleted).
% 1.08/1.26  ; Retrieved 6,296 generalization terms in 9,387 calls.
% 1.08/1.26  ; Retrieved 713 instance terms in 705 calls.
% 1.08/1.26  ; Retrieved 221,955 unifiable terms in 15,024 calls.
% 1.08/1.26  ; 
% 1.08/1.26  ; The agenda of rows to process has 338 entries:
% 1.08/1.26  ;     1 with value 4              12 with value 12              36 with value 16
% 1.08/1.26  ;    16 with value 7              18 with value 13              48 with value 17
% 1.08/1.26  ;     9 with value 8              12 with value 14              72 with value 18
% 1.08/1.26  ;     6 with value 9              72 with value 15              24 with value 19
% 1.08/1.26  ;    12 with value 10
% 1.08/1.26  ; The agenda of rows to give has 2645 entries:
% 1.08/1.26  ;     1 with value (4 4)          99 with value (4 21)         111 with value (4 36)
% 1.08/1.26  ;     2 with value (4 6)          84 with value (4 22)          49 with value (4 37)
% 1.08/1.26  ;    12 with value (4 7)          86 with value (4 23)          26 with value (4 38)
% 1.08/1.26  ;     7 with value (4 8)          58 with value (4 24)          30 with value (4 39)
% 1.08/1.26  ;    25 with value (4 9)          58 with value (4 25)          60 with value (4 40)
% 1.08/1.26  ;    20 with value (4 10)         55 with value (4 26)          26 with value (4 41)
% 1.08/1.26  ;    29 with value (4 11)         83 with value (4 27)          20 with value (4 42)
% 1.08/1.26  ;    48 with value (4 12)         83 with value (4 28)          18 with value (4 43)
% 1.08/1.26  ;    58 with value (4 13)         63 with value (4 29)           3 with value (4 45)
% 1.08/1.26  ;    69 with value (4 14)         82 with value (4 30)          12 with value (4 46)
% 1.08/1.26  ;   104 with value (4 15)        130 with value (4 31)           6 with value (4 47)
% 1.08/1.26  ;   108 with value (4 16)        115 with value (4 32)          24 with value (4 48)
% 1.08/1.26  ;   103 with value (4 17)        102 with value (4 33)           3 with value (4 50)
% 1.08/1.26  ;   181 with value (4 18)         61 with value (4 34)           3 with value (4 51)
% 1.08/1.26  ;    78 with value (4 19)         69 with value (4 35)          12 with value (4 53)
% 1.08/1.26  ;   169 with value (4 20)
% 1.08/1.26  Evaluation took:
% 1.08/1.26    0.8 seconds of real time
% 1.08/1.26    0.716395 seconds of user run time
% 1.08/1.26    0.084205 seconds of system run time
% 1.08/1.26    [Run times include 0.066 seconds GC run time.]
% 1.08/1.26    0 calls to %EVAL
% 1.08/1.26    0 page faults and
% 1.08/1.26    67,854,392 bytes consed.
% 1.08/1.26  :PROOF-FOUND
% 1.08/1.26  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-02T03:51:54
% 1.08/1.26  :PROOF-FOUND
% 1.08/1.26  * 
%------------------------------------------------------------------------------