TSTP Solution File: NUM545+2 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : NUM545+2 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n005.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 14:11:33 EDT 2022

% Result   : Theorem 0.60s 0.85s
% Output   : Refutation 0.60s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   15 (   7 unt;   3 nHn;  15 RR)
%            Number of literals    :   23 (   5 equ;   9 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   4 con; 0-1 aty)
%            Number of variables   :    6 (   1 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(3,axiom,
    ( X != slcrc0
    | ~ aElementOf0(Y,X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefEmp) ).

cnf(42,axiom,
    aElementOf0(sz00,szNzAzT0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mZeroNum) ).

cnf(43,axiom,
    ( ~ aElementOf0(X,szNzAzT0)
    | aElementOf0(szszuzczcdt0(X),szNzAzT0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSuccNum) ).

cnf(92,hypothesis,
    ( ~ aElementOf0(X,xS)
    | aElementOf0(X,szNzAzT0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1986) ).

cnf(105,hypothesis,
    ( xS = slcrc0
    | aElementOf0(szmzazxdt0(xS),xS) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2035) ).

cnf(110,hypothesis,
    ( xS = slcrc0
    | aSubsetOf0(xS,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS)))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2035) ).

cnf(115,negated_conjecture,
    ( ~ aElementOf0(X,szNzAzT0)
    | aElementOf0('SKOLEMAAAM10'(X),xS) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).

cnf(117,negated_conjecture,
    ( ~ aElementOf0(X,szNzAzT0)
    | ~ aSubsetOf0(xS,slbdtrb0(X)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).

cnf(134,plain,
    ( xS = slcrc0
    | aElementOf0(szmzazxdt0(xS),szNzAzT0) ),
    inference('HYPERRESOLVE',[status(thm)],[92,105]) ).

cnf(136,plain,
    aElementOf0('SKOLEMAAAM10'(sz00),xS),
    inference('HYPERRESOLVE',[status(thm)],[115,42]) ).

cnf(497,plain,
    xS != slcrc0,
    inference('UR-RESOLVE',[status(thm)],[3,136]) ).

cnf(503,plain,
    aSubsetOf0(xS,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS)))),
    inference('REWRITE',[status(thm)],[110,497]) ).

cnf(505,plain,
    aElementOf0(szmzazxdt0(xS),szNzAzT0),
    inference('REWRITE',[status(thm)],[134,497]) ).

cnf(645,plain,
    ~ aElementOf0(szszuzczcdt0(szmzazxdt0(xS)),szNzAzT0),
    inference('UR-RESOLVE',[status(thm)],[117,503]) ).

cnf(938,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[43,505]),645]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : NUM545+2 : TPTP v8.1.0. Released v4.0.0.
% 0.10/0.13  % Command  : run-snark %s %d
% 0.12/0.33  % Computer : n005.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 : Fri Jul  8 00:32:22 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.19/0.45  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.46  * 
% 0.19/0.46  * 
% 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 2022-07-08T00:32:22
% 0.19/0.46  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n005.cluster.edu at 2022-07-08T00:32:22
% 0.19/0.47  WARNING:
% 0.19/0.47     |iLess0| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 0.60/0.85  
% 0.60/0.85  
% 0.60/0.85  #||
% 0.60/0.85  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.60/0.85  % SZS output start Refutation
% See solution above
% 0.60/0.85  ||#
% 0.60/0.85  
% 0.60/0.85  ; Summary of computation:
% 0.60/0.85  ;      1802 formulas have been input or derived (from 151 formulas).
% 0.60/0.85  ;       938 (52%) were retained.  Of these,
% 0.60/0.85  ;          192 (20%) were simplified or subsumed later,
% 0.60/0.85  ;          746 (80%) are still being kept.
% 0.60/0.85  ; 
% 0.60/0.85  ; Run time in seconds:
% 0.60/0.85  ;     0.006   2%   Read assertion file          (1 call)
% 0.60/0.85  ;     0.002   1%   Assert                       (57 calls)
% 0.60/0.85  ;     0.061  16%   Process new row              (1,638 calls)
% 0.60/0.85  ;     0.141  37%   Resolution                   (300 calls)
% 0.60/0.85  ;     0.000   0%   Paramodulation               (150 calls)
% 0.60/0.85  ;     0.000   0%   Factoring                    (3 calls)
% 0.60/0.85  ;     0.009   2%   Condensing                   (714 calls)
% 0.60/0.85  ;     0.087  23%   Forward subsumption          (714 calls)
% 0.60/0.85  ;     0.019   5%   Backward subsumption         (576 calls)
% 0.60/0.85  ;     0.003   1%   Clause clause subsumption    (596 calls)
% 0.60/0.85  ;     0.027   7%   Forward simplification       (1,631 calls)
% 0.60/0.85  ;     0.012   3%   Backward simplification      (936 calls)
% 0.60/0.85  ;     0.001   0%   Ordering                     (1,557 calls)
% 0.60/0.85  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.60/0.85  ;     0.001   0%   Purity testing               (1 call)
% 0.60/0.85  ;     0.017   4%   Other
% 0.60/0.85  ;     0.386        Total
% 0.60/0.85  ;     0.386        Real time
% 0.60/0.85  ; 
% 0.60/0.85  ; Term-hash-array has 1,416 terms in all.
% 0.60/0.85  ; Feature-vector-row-index has 404 entries (404 at peak, 576 added, 172 deleted).
% 0.60/0.85  ; Feature-vector-row-index has 3,142 nodes (3,142 at peak, 4,670 added, 1,528 deleted).
% 0.60/0.85  ;  Retrieved 829 possibly forward subsuming rows in 714 calls.
% 0.60/0.85  ;  Retrieved 125 possibly backward subsumed rows in 576 calls.
% 0.60/0.85  ; Path-index has 1,385 entries (1,385 at peak, 1,777 added, 392 deleted).
% 0.60/0.85  ; Path-index has 1,100 nodes (1,100 at peak, 1,191 added, 91 deleted).
% 0.60/0.85  ; Trie-index has 1,385 entries (1,385 at peak, 1,777 added, 392 deleted).
% 0.60/0.85  ; Trie-index has 3,552 nodes (3,552 at peak, 4,752 added, 1,200 deleted).
% 0.60/0.85  ; Retrieved 905 generalization terms in 5,916 calls.
% 0.60/0.85  ; Retrieved 359 instance terms in 359 calls.
% 0.60/0.85  ; Retrieved 290,770 unifiable terms in 16,660 calls.
% 0.60/0.85  ; 
% 0.60/0.85  ; The agenda of rows to process has 61 entries:
% 0.60/0.85  ;     7 with value 10              4 with value 16               2 with value 28
% 0.60/0.85  ;    11 with value 11              8 with value 18               3 with value 31
% 0.60/0.85  ;     9 with value 12              5 with value 19               1 with value 45
% 0.60/0.85  ;     5 with value 13              1 with value 20               1 with value 48
% 0.60/0.85  ;     3 with value 15              1 with value 22
% 0.60/0.85  ; The agenda of rows to give has 607 entries:
% 0.60/0.85  ;     4 with value (4 7)           4 with value (4 25)           2 with value (4 43)
% 0.60/0.85  ;    22 with value (4 8)           1 with value (4 26)           5 with value (4 44)
% 0.60/0.85  ;    39 with value (4 9)           2 with value (4 27)          16 with value (4 45)
% 0.60/0.85  ;    62 with value (4 10)          4 with value (4 28)           4 with value (4 46)
% 0.60/0.85  ;    48 with value (4 11)          2 with value (4 29)          15 with value (4 47)
% 0.60/0.85  ;    50 with value (4 12)         28 with value (4 30)          14 with value (4 48)
% 0.60/0.85  ;    23 with value (4 13)         18 with value (4 31)           9 with value (4 49)
% 0.60/0.85  ;     8 with value (4 14)         15 with value (4 32)           2 with value (4 50)
% 0.60/0.85  ;    26 with value (4 15)          7 with value (4 33)           1 with value (4 54)
% 0.60/0.85  ;    16 with value (4 16)          5 with value (4 34)           1 with value (4 55)
% 0.60/0.85  ;    17 with value (4 17)          4 with value (4 35)           3 with value (4 57)
% 0.60/0.85  ;    17 with value (4 18)          4 with value (4 36)           1 with value (4 58)
% 0.60/0.85  ;    11 with value (4 19)          1 with value (4 37)           5 with value (4 59)
% 0.60/0.85  ;    11 with value (4 20)          1 with value (4 38)           3 with value (4 60)
% 0.60/0.85  ;    17 with value (4 21)          4 with value (4 40)           6 with value (4 64)
% 0.60/0.85  ;    11 with value (4 22)          1 with value (4 41)           8 with value (4 65)
% 0.60/0.85  ;     7 with value (4 23)         10 with value (4 42)           2 with value (4 66)
% 0.60/0.85  ;    10 with value (4 24)
% 0.60/0.85  Evaluation took:
% 0.60/0.85    0.387 seconds of real time
% 0.60/0.85    0.362384 seconds of user run time
% 0.60/0.85    0.024657 seconds of system run time
% 0.60/0.85    [Run times include 0.016 seconds GC run time.]
% 0.60/0.85    0 calls to %EVAL
% 0.60/0.85    0 page faults and
% 0.60/0.85    34,111,416 bytes consed.
% 0.60/0.85  :PROOF-FOUND
% 0.60/0.85  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-08T00:32:22
% 0.60/0.85  :PROOF-FOUND
% 0.60/0.85  * 
%------------------------------------------------------------------------------