TSTP Solution File: NUM607+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : NUM607+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 14:12:08 EDT 2022

% Result   : Theorem 2.65s 2.88s
% Output   : Refutation 2.65s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :   13
% Syntax   : Number of clauses     :   18 (  14 unt;   0 nHn;  18 RR)
%            Number of literals    :   34 (   6 equ;  17 neg)
%            Maximal clause size   :    6 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   6 con; 0-2 aty)
%            Number of variables   :   13 (   0 sgn)

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

cnf(15,axiom,
    ( ~ aSet0(X)
    | ~ aSet0(Y)
    | ~ aSet0(Z)
    | ~ aSubsetOf0(X,Y)
    | ~ aSubsetOf0(Y,Z)
    | aSubsetOf0(X,Z) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSubTrans) ).

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

cnf(97,axiom,
    ( ~ aSet0(X)
    | ~ aElementOf0(Y,szNzAzT0)
    | Z != slbdtsldtrb0(X,Y)
    | ~ aElementOf0(U,Z)
    | sbrdtbr0(U) = Y ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefSel) ).

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(187,hypothesis,
    aSet0(xO),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__4891) ).

cnf(193,hypothesis,
    aSubsetOf0(xO,xS),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__4998) ).

cnf(194,hypothesis,
    aElementOf0(xQ,slbdtsldtrb0(xO,xK)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5078) ).

cnf(195,hypothesis,
    aSubsetOf0(xQ,xO),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5093) ).

cnf(198,negated_conjecture,
    ~ aElementOf0(xQ,szDzozmdt0(xc)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).

cnf(229,plain,
    aSet0(xQ),
    inference('HYPERRESOLVE',[status(thm)],[8,187,195]) ).

cnf(230,plain,
    aSet0(xS),
    inference('HYPERRESOLVE',[status(thm)],[8,40,141]) ).

cnf(354,plain,
    sbrdtbr0(xQ) = xK,
    inference('HYPERRESOLVE',[status(thm)],[97,187,140,194,theory(equality)]) ).

cnf(1290,plain,
    aSubsetOf0(xQ,xS),
    inference('HYPERRESOLVE',[status(thm)],[15,230,229,187,195,193]) ).

cnf(4739,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[98,1290,230,140,144,198]),354,theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14  % Problem  : NUM607+1 : TPTP v8.1.0. Released v4.0.0.
% 0.08/0.15  % Command  : run-snark %s %d
% 0.15/0.37  % Computer : n013.cluster.edu
% 0.15/0.37  % Model    : x86_64 x86_64
% 0.15/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37  % Memory   : 8042.1875MB
% 0.15/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37  % CPULimit : 300
% 0.15/0.37  % WCLimit  : 600
% 0.15/0.37  % DateTime : Wed Jul  6 15:11:44 EDT 2022
% 0.15/0.37  % CPUTime  : 
% 0.22/0.50  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.22/0.51  * 
% 0.22/0.51  * 
% 0.22/0.52  #<PACKAGE "SNARK-USER">
% 0.22/0.52  * 
% 0.22/0.52  SNARK-TPTP-OPTIONS
% 0.22/0.52  * 
% 0.22/0.52  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.22/0.52   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.22/0.52   (USE-FACTORING :POS)
% 0.22/0.52   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.22/0.52   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.22/0.52   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.22/0.52   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.22/0.52   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.22/0.52   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.22/0.52   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.22/0.52   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.22/0.52   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.22/0.52   (DECLARE-TPTP-SYMBOLS2))
% 0.22/0.52  * 
% 0.22/0.52  "."
% 0.22/0.52  * 
% 0.22/0.52  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-06T15:11:45
% 0.22/0.52  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n013.cluster.edu at 2022-07-06T15:11:45
% 2.65/2.88  
% 2.65/2.88  
% 2.65/2.88  #||
% 2.65/2.88  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.65/2.88  % SZS output start Refutation
% See solution above
% 2.65/2.88  ||#
% 2.65/2.88  
% 2.65/2.88  ; Summary of computation:
% 2.65/2.88  ;      6189 formulas have been input or derived (from 249 formulas).
% 2.65/2.88  ;      4739 (77%) were retained.  Of these,
% 2.65/2.88  ;          164 ( 3%) were simplified or subsumed later,
% 2.65/2.88  ;         4575 (97%) are still being kept.
% 2.65/2.88  ; 
% 2.65/2.88  ; Run time in seconds excluding printing time:
% 2.65/2.88  ;     0.027   1%   Read assertion file          (1 call)
% 2.65/2.88  ;     0.008   0%   Assert                       (102 calls)
% 2.65/2.88  ;     0.455  19%   Process new row              (6,087 calls)
% 2.65/2.88  ;     1.020  43%   Resolution                   (496 calls)
% 2.65/2.88  ;     0.003   0%   Paramodulation               (248 calls)
% 2.65/2.88  ;     0.013   1%   Condensing                   (3,933 calls)
% 2.65/2.88  ;     0.442  19%   Forward subsumption          (3,933 calls)
% 2.65/2.88  ;     0.154   7%   Backward subsumption         (3,697 calls)
% 2.65/2.88  ;     0.003   0%   Clause clause subsumption    (1,457 calls)
% 2.65/2.88  ;     0.142   6%   Forward simplification       (6,087 calls)
% 2.65/2.88  ;     0.027   1%   Backward simplification      (4,737 calls)
% 2.65/2.88  ;     0.009   0%   Ordering                     (9,017 calls)
% 2.65/2.88  ;     0.000   0%   Sortal reasoning             (32 calls)
% 2.65/2.88  ;     0.000   0%   Purity testing               (1 call)
% 2.65/2.88  ;     0.053   2%   Other
% 2.65/2.88  ;     2.356        Total
% 2.65/2.88  ;     2.358        Real time
% 2.65/2.88  ; 
% 2.65/2.88  ; Term-hash-array has 11,095 terms in all.
% 2.65/2.88  ; Feature-vector-row-index has 3,562 entries (3,563 at peak, 3,697 added, 135 deleted).
% 2.65/2.88  ; Feature-vector-row-index has 26,926 nodes (26,932 at peak, 28,011 added, 1,085 deleted).
% 2.65/2.88  ;  Retrieved 1,683 possibly forward subsuming rows in 3,933 calls.
% 2.65/2.88  ;  Retrieved 840 possibly backward subsumed rows in 3,697 calls.
% 2.65/2.88  ; Path-index has 11,024 entries (11,024 at peak, 11,283 added, 259 deleted).
% 2.65/2.88  ; Path-index has 2,596 nodes (2,596 at peak, 2,642 added, 46 deleted).
% 2.65/2.88  ; Trie-index has 11,024 entries (11,024 at peak, 11,283 added, 259 deleted).
% 2.65/2.88  ; Trie-index has 21,797 nodes (21,797 at peak, 22,288 added, 491 deleted).
% 2.65/2.88  ; Retrieved 2,693 generalization terms in 26,646 calls.
% 2.65/2.88  ; Retrieved 1,039 instance terms in 1,039 calls.
% 2.65/2.88  ; Retrieved 2,899,237 unifiable terms in 55,863 calls.
% 2.65/2.88  ; 
% 2.65/2.88  ; The agenda of rows to give has 4326 entries:
% 2.65/2.88  ;     4 with value (4 6)          67 with value (4 20)         219 with value (4 34)
% 2.65/2.88  ;    57 with value (4 7)         132 with value (4 21)         259 with value (4 35)
% 2.65/2.88  ;   114 with value (4 8)          46 with value (4 22)          65 with value (4 36)
% 2.65/2.88  ;   162 with value (4 9)          57 with value (4 23)         106 with value (4 37)
% 2.65/2.88  ;   202 with value (4 10)        213 with value (4 24)           6 with value (4 38)
% 2.65/2.88  ;   204 with value (4 11)        212 with value (4 25)          92 with value (4 39)
% 2.65/2.88  ;   128 with value (4 12)         80 with value (4 26)          49 with value (4 41)
% 2.65/2.88  ;    51 with value (4 13)         68 with value (4 27)         125 with value (4 42)
% 2.65/2.88  ;    20 with value (4 14)         67 with value (4 28)           1 with value (4 44)
% 2.65/2.88  ;    32 with value (4 15)         11 with value (4 29)           1 with value (4 45)
% 2.65/2.88  ;    33 with value (4 16)        383 with value (4 30)         138 with value (4 47)
% 2.65/2.88  ;   101 with value (4 17)        288 with value (4 31)           3 with value (4 51)
% 2.65/2.88  ;    57 with value (4 18)        152 with value (4 32)          24 with value (4 52)
% 2.65/2.88  ;    24 with value (4 19)        273 with value (4 33)
% 2.65/2.88  Evaluation took:
% 2.65/2.88    2.362 seconds of real time
% 2.65/2.88    2.247796 seconds of user run time
% 2.65/2.88    0.113062 seconds of system run time
% 2.65/2.88    [Run times include 0.23 seconds GC run time.]
% 2.65/2.88    0 calls to %EVAL
% 2.65/2.88    0 page faults and
% 2.65/2.88    179,628,624 bytes consed.
% 2.65/2.88  :PROOF-FOUND
% 2.65/2.88  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-06T15:11:47
% 2.65/2.88  :PROOF-FOUND
% 2.65/2.88  * 
%------------------------------------------------------------------------------