TSTP Solution File: NUM555+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : NUM555+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n026.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 14:11:38 EDT 2022

% Result   : Theorem 0.40s 0.57s
% Output   : Refutation 0.40s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    1
%            Number of leaves      :    5
% Syntax   : Number of clauses     :    6 (   5 unt;   0 nHn;   6 RR)
%            Number of literals    :   10 (   1 equ;   5 neg)
%            Maximal clause size   :    5 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   3 con; 0-2 aty)
%            Number of variables   :    4 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(27,axiom,
    ( ~ aSet0(X)
    | ~ aElement0(Y)
    | Z != sdtmndt0(X,Y)
    | ~ aElementOf0(U,Z)
    | aElementOf0(U,X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefDiff) ).

cnf(112,hypothesis,
    aSet0(xQ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2291) ).

cnf(115,hypothesis,
    aElement0(xy),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2304) ).

cnf(117,hypothesis,
    ~ aElementOf0(xx,xQ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2323) ).

cnf(119,negated_conjecture,
    aElementOf0(xx,sdtmndt0(xQ,xy)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).

cnf(212,plain,
    $false,
    inference('UR-RESOLVE',[status(thm)],[27,112,115,119,117,theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem  : NUM555+1 : TPTP v8.1.0. Released v4.0.0.
% 0.04/0.13  % Command  : run-snark %s %d
% 0.13/0.34  % Computer : n026.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Wed Jul  6 01:37:23 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.19/0.45  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.46  * 
% 0.19/0.46  * 
% 0.19/0.47  #<PACKAGE "SNARK-USER">
% 0.19/0.47  * 
% 0.19/0.47  SNARK-TPTP-OPTIONS
% 0.19/0.47  * 
% 0.19/0.47  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.47   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.47   (USE-FACTORING :POS)
% 0.19/0.47   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.47   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.47   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.47   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.47   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.47   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.47   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.47   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.47   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.47   (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.47  * 
% 0.19/0.47  "."
% 0.19/0.47  * 
% 0.19/0.47  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-06T01:37:23
% 0.19/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n026.cluster.edu at 2022-07-06T01:37:23
% 0.19/0.50  WARNING:
% 0.19/0.50     |iLess0| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 0.40/0.57  
% 0.40/0.57  
% 0.40/0.57  #||
% 0.40/0.57  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.40/0.57  % SZS output start Refutation
% See solution above
% 0.40/0.57  ||#
% 0.40/0.57  
% 0.40/0.57  ; Summary of computation:
% 0.40/0.57  ;       322 formulas have been input or derived (from 82 formulas).
% 0.40/0.57  ;       212 (66%) were retained.  Of these,
% 0.40/0.57  ;            1 ( 0%) were simplified or subsumed later,
% 0.40/0.57  ;          211 (100%) are still being kept.
% 0.40/0.57  ; 
% 0.40/0.57  ; Run time in seconds excluding printing time:
% 0.40/0.57  ;     0.016  17%   Read assertion file          (1 call)
% 0.40/0.57  ;     0.005   5%   Assert                       (71 calls)
% 0.40/0.57  ;     0.013  14%   Process new row              (303 calls)
% 0.40/0.57  ;     0.013  14%   Resolution                   (162 calls)
% 0.40/0.57  ;     0.000   0%   Paramodulation               (81 calls)
% 0.40/0.57  ;     0.002   2%   Condensing                   (122 calls)
% 0.40/0.57  ;     0.001   1%   Forward subsumption          (122 calls)
% 0.40/0.57  ;     0.004   4%   Backward subsumption         (118 calls)
% 0.40/0.57  ;     0.001   1%   Clause clause subsumption    (35 calls)
% 0.40/0.57  ;     0.010  10%   Forward simplification       (302 calls)
% 0.40/0.57  ;     0.002   2%   Backward simplification      (212 calls)
% 0.40/0.57  ;     0.001   1%   Ordering                     (63 calls)
% 0.40/0.57  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.40/0.57  ;     0.001   1%   Purity testing               (1 call)
% 0.40/0.57  ;     0.027  28%   Other
% 0.40/0.57  ;     0.096        Total
% 0.40/0.57  ;     0.098        Real time
% 0.40/0.57  ; 
% 0.40/0.57  ; Term-hash-array has 332 terms in all.
% 0.40/0.57  ; Feature-vector-row-index has 117 entries (117 at peak, 118 added, 1 deleted).
% 0.40/0.57  ; Feature-vector-row-index has 512 nodes (512 at peak, 522 added, 10 deleted).
% 0.40/0.57  ;  Retrieved 52 possibly forward subsuming rows in 122 calls.
% 0.40/0.57  ;  Retrieved 17 possibly backward subsumed rows in 118 calls.
% 0.40/0.57  ; Path-index has 342 entries (342 at peak, 343 added, 1 deleted).
% 0.40/0.57  ; Path-index has 608 nodes (608 at peak, 608 added, 0 deleted).
% 0.40/0.57  ; Trie-index has 342 entries (342 at peak, 343 added, 1 deleted).
% 0.40/0.57  ; Trie-index has 666 nodes (666 at peak, 667 added, 1 deleted).
% 0.40/0.57  ; Retrieved 108 generalization terms in 465 calls.
% 0.40/0.57  ; Retrieved 93 instance terms in 93 calls.
% 0.40/0.57  ; Retrieved 19,988 unifiable terms in 1,834 calls.
% 0.40/0.57  ; 
% 0.40/0.57  ; The agenda of rows to process has 6 entries:
% 0.40/0.57  ;     2 with value 4               2 with value 8                1 with value 10
% 0.40/0.57  ;     1 with value 5
% 0.40/0.57  ; The agenda of input rows to give has 38 entries:
% 0.40/0.57  ;     2 with value 21              1 with value 27               2 with value 35
% 0.40/0.57  ;     4 with value 22              4 with value 28               1 with value 36
% 0.40/0.57  ;     1 with value 23              1 with value 29               2 with value 39
% 0.40/0.57  ;     6 with value 24              2 with value 31               1 with value 40
% 0.40/0.57  ;     5 with value 25              2 with value 32               1 with value 43
% 0.40/0.57  ;     1 with value 26              1 with value 33               1 with value 47
% 0.40/0.57  ; The agenda of rows to give has 91 entries:
% 0.40/0.57  ;     6 with value (4 4)          37 with value (4 7)            6 with value (4 11)
% 0.40/0.57  ;    12 with value (4 5)           5 with value (4 8)           12 with value (4 12)
% 0.40/0.57  ;     5 with value (4 6)           4 with value (4 9)            4 with value (4 15)
% 0.40/0.57  Evaluation took:
% 0.40/0.57    0.099 seconds of real time
% 0.40/0.57    0.09156 seconds of user run time
% 0.40/0.57    0.006804 seconds of system run time
% 0.40/0.57    0 calls to %EVAL
% 0.40/0.57    0 page faults and
% 0.40/0.57    4,470,856 bytes consed.
% 0.40/0.57  :PROOF-FOUND
% 0.40/0.57  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-06T01:37:23
% 0.40/0.57  :PROOF-FOUND
% 0.40/0.57  * 
%------------------------------------------------------------------------------