TSTP Solution File: NUM584+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : NUM584+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n013.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 14:11:55 EDT 2022

% Result   : Theorem 0.39s 0.60s
% Output   : Refutation 0.39s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    9
% Syntax   : Number of clauses     :   12 (  10 unt;   0 nHn;  12 RR)
%            Number of literals    :   19 (   4 equ;   9 neg)
%            Maximal clause size   :    6 (   1 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :   13 (  13 usr;   7 con; 0-2 aty)
%            Number of variables   :    6 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(8,axiom,
    ( ~ aSet0(X)
    | ~ aSubsetOf0(Y,X)
    | aSet0(Y) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefSub) ).

cnf(40,axiom,
    aSet0(szNzAzT0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mNATSet) ).

cnf(98,axiom,
    ( ~ aSet0(X)
    | ~ aElementOf0(Y,szNzAzT0)
    | Z != slbdtsldtrb0(X,Y)
    | aElementOf0(U,Z)
    | ~ aSubsetOf0(U,X)
    | sbrdtbr0(U) != Y ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefSel) ).

cnf(140,hypothesis,
    aElementOf0(xK,szNzAzT0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3418) ).

cnf(141,hypothesis,
    aSubsetOf0(xS,szNzAzT0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3435) ).

cnf(144,hypothesis,
    szDzozmdt0(xc) = slbdtsldtrb0(xS,xK),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3453) ).

cnf(164,hypothesis,
    sbrdtbr0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))) = xK,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__4007) ).

cnf(165,hypothesis,
    aSubsetOf0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))),xS),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__4024) ).

cnf(166,negated_conjecture,
    ~ aElementOf0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))),slbdtsldtrb0(xS,xK)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).

cnf(167,plain,
    ~ aElementOf0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))),szDzozmdt0(xc)),
    inference('REWRITE',[status(thm)],[166,144,theory(equality)]) ).

cnf(192,plain,
    aSet0(xS),
    inference('HYPERRESOLVE',[status(thm)],[8,40,141]) ).

cnf(310,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[98,140,144,167,165,164]),192]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem  : NUM584+1 : TPTP v8.1.0. Released v4.0.0.
% 0.04/0.13  % Command  : run-snark %s %d
% 0.12/0.34  % Computer : n013.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Thu Jul  7 15:45:29 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.20/0.45  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.46  * 
% 0.20/0.46  * 
% 0.20/0.47  #<PACKAGE "SNARK-USER">
% 0.20/0.47  * 
% 0.20/0.47  SNARK-TPTP-OPTIONS
% 0.20/0.47  * 
% 0.20/0.47  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.47   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.47   (USE-FACTORING :POS)
% 0.20/0.47   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.47   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.47   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.47   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.47   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.47   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.47   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.47   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.47   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.47   (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.47  * 
% 0.20/0.47  "."
% 0.20/0.47  * 
% 0.20/0.47  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-07T15:45:29
% 0.20/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n013.cluster.edu at 2022-07-07T15:45:29
% 0.39/0.60  
% 0.39/0.60  
% 0.39/0.60  #||
% 0.39/0.60  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.39/0.60  % SZS output start Refutation
% See solution above
% 0.39/0.61  ||#
% 0.39/0.61  
% 0.39/0.61  ; Summary of computation:
% 0.39/0.61  ;       460 formulas have been input or derived (from 132 formulas).
% 0.39/0.61  ;       310 (67%) were retained.  Of these,
% 0.39/0.61  ;            1 ( 0%) were simplified or subsumed later,
% 0.39/0.61  ;          309 (100%) are still being kept.
% 0.39/0.61  ; 
% 0.39/0.61  ; Run time in seconds excluding printing time:
% 0.39/0.61  ;     0.022  17%   Read assertion file          (1 call)
% 0.39/0.61  ;     0.005   4%   Assert                       (89 calls)
% 0.39/0.61  ;     0.021  16%   Process new row              (443 calls)
% 0.39/0.61  ;     0.027  20%   Resolution                   (262 calls)
% 0.39/0.61  ;     0.000   0%   Paramodulation               (131 calls)
% 0.39/0.61  ;     0.006   5%   Condensing                   (198 calls)
% 0.39/0.61  ;     0.005   4%   Forward subsumption          (198 calls)
% 0.39/0.61  ;     0.004   3%   Backward subsumption         (191 calls)
% 0.39/0.61  ;     0.001   1%   Clause clause subsumption    (49 calls)
% 0.39/0.61  ;     0.010   8%   Forward simplification       (443 calls)
% 0.39/0.61  ;     0.003   2%   Backward simplification      (309 calls)
% 0.39/0.61  ;     0.000   0%   Ordering                     (160 calls)
% 0.39/0.61  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.39/0.61  ;     0.000   0%   Purity testing               (1 call)
% 0.39/0.61  ;     0.028  21%   Other
% 0.39/0.61  ;     0.132        Total
% 0.39/0.61  ;     0.133        Real time
% 0.39/0.61  ; 
% 0.39/0.61  ; Term-hash-array has 526 terms in all.
% 0.39/0.61  ; Feature-vector-row-index has 191 entries (191 at peak, 191 added, 0 deleted).
% 0.39/0.61  ; Feature-vector-row-index has 1,164 nodes (1,164 at peak, 1,164 added, 0 deleted).
% 0.39/0.61  ;  Retrieved 74 possibly forward subsuming rows in 198 calls.
% 0.39/0.61  ;  Retrieved 14 possibly backward subsumed rows in 191 calls.
% 0.39/0.61  ; Path-index has 537 entries (537 at peak, 537 added, 0 deleted).
% 0.39/0.61  ; Path-index has 1,248 nodes (1,248 at peak, 1,248 added, 0 deleted).
% 0.39/0.61  ; Trie-index has 537 entries (537 at peak, 537 added, 0 deleted).
% 0.39/0.61  ; Trie-index has 1,195 nodes (1,195 at peak, 1,195 added, 0 deleted).
% 0.39/0.61  ; Retrieved 192 generalization terms in 920 calls.
% 0.39/0.61  ; Retrieved 117 instance terms in 117 calls.
% 0.39/0.61  ; Retrieved 48,856 unifiable terms in 3,205 calls.
% 0.39/0.61  ; 
% 0.39/0.61  ; The agenda of rows to process has 2 entries:
% 0.39/0.61  ;     1 with value 28              1 with value 43
% 0.39/0.61  ; The agenda of input rows to give has 35 entries:
% 0.39/0.61  ;     2 with value 28              2 with value 34               1 with value 42
% 0.39/0.61  ;     2 with value 29              4 with value 35               3 with value 43
% 0.39/0.61  ;     2 with value 30              1 with value 36               1 with value 44
% 0.39/0.61  ;     4 with value 31              2 with value 39               1 with value 47
% 0.39/0.61  ;     2 with value 32              1 with value 40               1 with value 56
% 0.39/0.61  ;     3 with value 33              3 with value 41
% 0.39/0.61  ; The agenda of rows to give has 142 entries:
% 0.39/0.61  ;     8 with value (4 4)          17 with value (4 11)           3 with value (4 19)
% 0.39/0.61  ;    15 with value (4 5)           3 with value (4 12)           2 with value (4 20)
% 0.39/0.61  ;     9 with value (4 6)           3 with value (4 13)           5 with value (4 21)
% 0.39/0.61  ;    39 with value (4 7)           4 with value (4 14)           1 with value (4 23)
% 0.39/0.61  ;     5 with value (4 8)           8 with value (4 15)           1 with value (4 48)
% 0.39/0.61  ;    11 with value (4 9)           2 with value (4 17)           1 with value (4 51)
% 0.39/0.61  ;     2 with value (4 10)          3 with value (4 18)
% 0.39/0.61  Evaluation took:
% 0.39/0.61    0.134 seconds of real time
% 0.39/0.61    0.121203 seconds of user run time
% 0.39/0.61    0.012758 seconds of system run time
% 0.39/0.61    0 calls to %EVAL
% 0.39/0.61    0 page faults and
% 0.39/0.61    7,190,264 bytes consed.
% 0.39/0.61  :PROOF-FOUND
% 0.39/0.61  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-07T15:45:30
% 0.39/0.61  :PROOF-FOUND
% 0.39/0.61  * 
%------------------------------------------------------------------------------