TSTP Solution File: RNG125+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : RNG125+1 : TPTP v8.1.0. Released v4.0.0.
% 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 20:40:51 EDT 2022

% Result   : Theorem 0.77s 0.95s
% Output   : Refutation 0.77s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   10
% Syntax   : Number of clauses     :   15 (  11 unt;   0 nHn;  15 RR)
%            Number of literals    :   22 (   0 equ;   9 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    7 (   6 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   4 con; 0-0 aty)
%            Number of variables   :    5 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(24,axiom,
    ( ~ aSet0(X)
    | ~ aElementOf0(Y,X)
    | aElement0(Y) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mEOfElem) ).

cnf(45,axiom,
    ( ~ aIdeal0(X)
    | aSet0(X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefIdeal) ).

cnf(72,axiom,
    ( ~ aElement0(X)
    | aDivisorOf0(Y,X)
    | ~ aElement0(Y)
    | ~ doDivides0(Y,X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefDvs) ).

cnf(89,hypothesis,
    aElement0(xa),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2091) ).

cnf(90,hypothesis,
    aElement0(xb),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2091) ).

cnf(93,hypothesis,
    aIdeal0(xI),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2174) ).

cnf(102,hypothesis,
    aElementOf0(xu,xI),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2273) ).

cnf(105,hypothesis,
    ( ~ aDivisorOf0(xu,xa)
    | ~ aDivisorOf0(xu,xb) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2383) ).

cnf(109,hypothesis,
    doDivides0(xu,xa),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2479) ).

cnf(110,hypothesis,
    doDivides0(xu,xb),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2612) ).

cnf(111,plain,
    aSet0(xI),
    inference('HYPERRESOLVE',[status(thm)],[45,93]) ).

cnf(1231,plain,
    aElement0(xu),
    inference('HYPERRESOLVE',[status(thm)],[24,111,102]) ).

cnf(1869,plain,
    aDivisorOf0(xu,xb),
    inference('HYPERRESOLVE',[status(thm)],[72,1231,90,110]) ).

cnf(1870,plain,
    ~ aDivisorOf0(xu,xa),
    inference('REWRITE',[status(thm)],[105,1869]) ).

cnf(1871,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[72,1231,89,109]),1870]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem  : RNG125+1 : TPTP v8.1.0. Released v4.0.0.
% 0.06/0.12  % Command  : run-snark %s %d
% 0.13/0.33  % Computer : n028.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 600
% 0.13/0.33  % DateTime : Mon May 30 05:00:04 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 0.18/0.44  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.45  * 
% 0.18/0.45  * 
% 0.18/0.45  #<PACKAGE "SNARK-USER">
% 0.18/0.45  * 
% 0.18/0.45  SNARK-TPTP-OPTIONS
% 0.18/0.45  * 
% 0.18/0.45  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.18/0.45   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.18/0.45   (USE-FACTORING :POS)
% 0.18/0.45   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.18/0.45   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.18/0.45   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.18/0.45   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.18/0.45   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.18/0.45   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.18/0.45   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.18/0.45   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.18/0.45   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.18/0.45   (DECLARE-TPTP-SYMBOLS2))
% 0.18/0.45  * 
% 0.18/0.45  "."
% 0.18/0.45  * 
% 0.18/0.45  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-05-30T05:00:04
% 0.18/0.45  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n028.cluster.edu at 2022-05-30T05:00:04
% 0.18/0.48  WARNING:
% 0.18/0.48     |aNaturalNumber0| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.77/0.95  
% 0.77/0.95  
% 0.77/0.95  #||
% 0.77/0.95  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.77/0.95  % SZS output start Refutation
% See solution above
% 0.77/0.95  ||#
% 0.77/0.95  
% 0.77/0.95  ; Summary of computation:
% 0.77/0.95  ;      6249 formulas have been input or derived (from 115 formulas).
% 0.77/0.95  ;      1871 (30%) were retained.  Of these,
% 0.77/0.95  ;           95 ( 5%) were simplified or subsumed later,
% 0.77/0.95  ;         1776 (95%) are still being kept.
% 0.77/0.95  ; 
% 0.77/0.95  ; Run time in seconds excluding printing time:
% 0.77/0.95  ;     0.012   2%   Read assertion file          (1 call)
% 0.77/0.95  ;     0.005   1%   Assert                       (50 calls)
% 0.77/0.95  ;     0.140  28%   Process new row              (4,340 calls)
% 0.77/0.95  ;     0.187  38%   Resolution                   (228 calls)
% 0.77/0.95  ;     0.002   0%   Paramodulation               (114 calls)
% 0.77/0.95  ;     0.004   1%   Condensing                   (404 calls)
% 0.77/0.95  ;     0.016   3%   Forward subsumption          (404 calls)
% 0.77/0.95  ;     0.006   1%   Backward subsumption         (386 calls)
% 0.77/0.95  ;     0.002   0%   Clause clause subsumption    (178 calls)
% 0.77/0.95  ;     0.063  13%   Forward simplification       (4,339 calls)
% 0.77/0.95  ;     0.013   3%   Backward simplification      (1,870 calls)
% 0.77/0.95  ;     0.004   1%   Ordering                     (1,768 calls)
% 0.77/0.95  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.77/0.95  ;     0.000   0%   Purity testing               (1 call)
% 0.77/0.95  ;     0.041   8%   Other
% 0.77/0.95  ;     0.495        Total
% 0.77/0.95  ;     0.497        Real time
% 0.77/0.95  ; 
% 0.77/0.95  ; Term-hash-array has 4,290 terms in all.
% 0.77/0.95  ; Feature-vector-row-index has 385 entries (386 at peak, 386 added, 1 deleted).
% 0.77/0.95  ; Feature-vector-row-index has 1,911 nodes (1,916 at peak, 1,916 added, 5 deleted).
% 0.77/0.95  ;  Retrieved 209 possibly forward subsuming rows in 404 calls.
% 0.77/0.95  ;  Retrieved 173 possibly backward subsumed rows in 386 calls.
% 0.77/0.95  ; Path-index has 4,134 entries (4,134 at peak, 4,364 added, 230 deleted).
% 0.77/0.95  ; Path-index has 1,590 nodes (1,590 at peak, 1,596 added, 6 deleted).
% 0.77/0.95  ; Trie-index has 4,134 entries (4,134 at peak, 4,364 added, 230 deleted).
% 0.77/0.95  ; Trie-index has 11,914 nodes (11,914 at peak, 12,616 added, 702 deleted).
% 0.77/0.95  ; Retrieved 6,158 generalization terms in 21,193 calls.
% 0.77/0.95  ; Retrieved 1,483 instance terms in 1,483 calls.
% 0.77/0.95  ; Retrieved 372,419 unifiable terms in 13,925 calls.
% 0.77/0.95  ; 
% 0.77/0.95  ; The agenda of rows to process has 1889 entries:
% 0.77/0.95  ;     2 with value 7              68 with value 12             800 with value 19
% 0.77/0.95  ;     6 with value 8              40 with value 13              17 with value 22
% 0.77/0.95  ;    90 with value 9             784 with value 17              16 with value 24
% 0.77/0.95  ;    22 with value 10             11 with value 18               1 with value 28
% 0.77/0.95  ;    32 with value 11
% 0.77/0.95  ; The agenda of input rows to give has 1 entry:
% 0.77/0.95  ;     1 with value 4
% 0.77/0.95  ; The agenda of rows to give has 1661 entries:
% 0.77/0.95  ;     2 with value (4 5)           9 with value (4 14)           4 with value (4 24)
% 0.77/0.95  ;    21 with value (4 6)         338 with value (4 15)           2 with value (4 25)
% 0.77/0.95  ;    67 with value (4 7)           8 with value (4 16)           6 with value (4 27)
% 0.77/0.95  ;    52 with value (4 8)         346 with value (4 17)           4 with value (4 28)
% 0.77/0.95  ;    56 with value (4 9)          62 with value (4 18)           2 with value (4 31)
% 0.77/0.95  ;    41 with value (4 10)        129 with value (4 19)           1 with value (4 34)
% 0.77/0.95  ;   151 with value (4 11)         90 with value (4 20)           1 with value (4 36)
% 0.77/0.95  ;    12 with value (4 12)          8 with value (4 21)           1 with value (4 47)
% 0.77/0.95  ;   200 with value (4 13)         48 with value (4 22)
% 0.77/0.95  Evaluation took:
% 0.77/0.95    0.497 seconds of real time
% 0.77/0.95    0.457147 seconds of user run time
% 0.77/0.95    0.040325 seconds of system run time
% 0.77/0.95    [Run times include 0.024 seconds GC run time.]
% 0.77/0.95    0 calls to %EVAL
% 0.77/0.95    0 page faults and
% 0.77/0.95    35,918,248 bytes consed.
% 0.77/0.95  :PROOF-FOUND
% 0.77/0.95  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-05-30T05:00:05
% 0.77/0.95  :PROOF-FOUND
% 0.77/0.95  * 
%------------------------------------------------------------------------------