TSTP Solution File: NUM558+3 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : NUM558+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n027.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 14:11:40 EDT 2022

% Result   : Theorem 3.56s 3.76s
% Output   : Refutation 3.56s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :   10
% Syntax   : Number of clauses     :   14 (  10 unt;   0 nHn;  14 RR)
%            Number of literals    :   24 (   3 equ;  11 neg)
%            Maximal clause size   :    6 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   7 con; 0-2 aty)
%            Number of variables   :    9 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(1,axiom,
    ( ~ aSet0(X)
    | ~ aElementOf0(Y,X)
    | aElement0(Y) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mEOfElem) ).

cnf(20,axiom,
    ( ~ aSet0(X)
    | ~ aElement0(Y)
    | Z != sdtpldt0(X,Y)
    | aElementOf0(U,Z)
    | ~ aElement0(U)
    | U != Y ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefCons) ).

cnf(105,hypothesis,
    aSet0(xS),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2202_02) ).

cnf(118,hypothesis,
    ( ~ aElementOf0(X,slbdtsldtrb0(xT,xk))
    | ~ aElementOf0(Y,X)
    | aElementOf0(Y,xT) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2227) ).

cnf(124,hypothesis,
    ( ~ aElementOf0(X,slbdtsldtrb0(xS,xk))
    | aElementOf0(X,slbdtsldtrb0(xT,xk)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2227) ).

cnf(130,hypothesis,
    aElementOf0(xx,xS),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2256) ).

cnf(140,hypothesis,
    aSet0(sdtmndt0(xQ,xy)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2357) ).

cnf(150,hypothesis,
    xP = sdtpldt0(sdtmndt0(xQ,xy),xx),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2357) ).

cnf(154,hypothesis,
    aElementOf0(xP,slbdtsldtrb0(xS,xk)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2378) ).

cnf(155,negated_conjecture,
    ~ aElementOf0(xx,xT),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).

cnf(183,plain,
    aElement0(xx),
    inference('HYPERRESOLVE',[status(thm)],[1,105,130]) ).

cnf(218,plain,
    aElementOf0(xP,slbdtsldtrb0(xT,xk)),
    inference('HYPERRESOLVE',[status(thm)],[124,154]) ).

cnf(1463,plain,
    aElementOf0(xx,xP),
    inference('HYPERRESOLVE',[status(thm)],[20,183,140,150,183,theory(equality)]) ).

cnf(6458,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[118,1463,155]),218]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : NUM558+3 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.13  % Command  : run-snark %s %d
% 0.12/0.34  % Computer : n027.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 : Fri Jul  8 01:24:00 EDT 2022
% 0.12/0.34  % 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 2022-07-08T01:24:00
% 0.19/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n027.cluster.edu at 2022-07-08T01:24:00
% 0.19/0.50  WARNING:
% 0.19/0.50     |iLess0| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 3.56/3.76  
% 3.56/3.76  
% 3.56/3.76  #||
% 3.56/3.76  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.56/3.76  % SZS output start Refutation
% See solution above
% 3.56/3.76  ||#
% 3.56/3.76  
% 3.56/3.76  ; Summary of computation:
% 3.56/3.76  ;      8385 formulas have been input or derived (from 206 formulas).
% 3.56/3.76  ;      6458 (77%) were retained.  Of these,
% 3.56/3.76  ;          594 ( 9%) were simplified or subsumed later,
% 3.56/3.76  ;         5864 (91%) are still being kept.
% 3.56/3.76  ; 
% 3.56/3.76  ; Run time in seconds excluding printing time:
% 3.56/3.76  ;     0.019   1%   Read assertion file          (1 call)
% 3.56/3.76  ;     0.006   0%   Assert                       (72 calls)
% 3.56/3.76  ;     0.555  17%   Process new row              (8,148 calls)
% 3.56/3.76  ;     1.337  41%   Resolution                   (410 calls)
% 3.56/3.76  ;     0.004   0%   Paramodulation               (205 calls)
% 3.56/3.76  ;     0.013   0%   Condensing                   (5,338 calls)
% 3.56/3.76  ;     0.743  23%   Forward subsumption          (5,338 calls)
% 3.56/3.76  ;     0.307   9%   Backward subsumption         (5,162 calls)
% 3.56/3.76  ;     0.012   0%   Clause clause subsumption    (4,007 calls)
% 3.56/3.76  ;     0.165   5%   Forward simplification       (8,079 calls)
% 3.56/3.76  ;     0.049   1%   Backward simplification      (6,458 calls)
% 3.56/3.76  ;     0.018   1%   Ordering                     (13,842 calls)
% 3.56/3.76  ;     0.002   0%   Sortal reasoning             (32 calls)
% 3.56/3.76  ;     0.001   0%   Purity testing               (1 call)
% 3.56/3.76  ;     0.057   2%   Other
% 3.56/3.76  ;     3.288        Total
% 3.56/3.76  ;     3.289        Real time
% 3.56/3.76  ; 
% 3.56/3.76  ; Term-hash-array has 14,636 terms in all.
% 3.56/3.76  ; Feature-vector-row-index has 4,639 entries (4,653 at peak, 5,162 added, 523 deleted).
% 3.56/3.76  ; Feature-vector-row-index has 22,310 nodes (22,366 at peak, 25,602 added, 3,292 deleted).
% 3.56/3.76  ;  Retrieved 8,871 possibly forward subsuming rows in 5,338 calls.
% 3.56/3.76  ;  Retrieved 5,921 possibly backward subsumed rows in 5,162 calls.
% 3.56/3.76  ; Path-index has 13,863 entries (13,863 at peak, 15,170 added, 1,307 deleted).
% 3.56/3.76  ; Path-index has 1,876 nodes (1,876 at peak, 2,037 added, 161 deleted).
% 3.56/3.76  ; Trie-index has 13,863 entries (13,863 at peak, 15,170 added, 1,307 deleted).
% 3.56/3.76  ; Trie-index has 25,898 nodes (25,898 at peak, 28,972 added, 3,074 deleted).
% 3.56/3.76  ; Retrieved 2,986 generalization terms in 30,912 calls.
% 3.56/3.76  ; Retrieved 1,295 instance terms in 1,295 calls.
% 3.56/3.76  ; Retrieved 4,636,849 unifiable terms in 72,156 calls.
% 3.56/3.76  ; 
% 3.56/3.76  ; The agenda of rows to process has 96 entries:
% 3.56/3.76  ;    56 with value 10              3 with value 13               1 with value 15
% 3.56/3.76  ;    25 with value 12              8 with value 14               3 with value 18
% 3.56/3.76  ; The agenda of rows to give has 5666 entries:
% 3.56/3.76  ;     8 with value (4 6)          57 with value (4 22)         103 with value (4 38)
% 3.56/3.76  ;    46 with value (4 7)          90 with value (4 23)          75 with value (4 39)
% 3.56/3.76  ;   171 with value (4 8)         504 with value (4 24)          70 with value (4 40)
% 3.56/3.76  ;   322 with value (4 9)         323 with value (4 25)         102 with value (4 41)
% 3.56/3.76  ;   163 with value (4 10)        119 with value (4 26)         137 with value (4 42)
% 3.56/3.76  ;   185 with value (4 11)         52 with value (4 27)          54 with value (4 43)
% 3.56/3.76  ;   198 with value (4 12)          4 with value (4 28)          31 with value (4 44)
% 3.56/3.76  ;    72 with value (4 13)         24 with value (4 29)          15 with value (4 45)
% 3.56/3.76  ;    37 with value (4 14)        374 with value (4 30)          95 with value (4 46)
% 3.56/3.76  ;    21 with value (4 15)        156 with value (4 31)         117 with value (4 47)
% 3.56/3.76  ;   126 with value (4 16)        128 with value (4 32)           2 with value (4 51)
% 3.56/3.76  ;   171 with value (4 17)        419 with value (4 33)         100 with value (4 52)
% 3.56/3.76  ;   100 with value (4 18)        244 with value (4 34)           4 with value (4 56)
% 3.56/3.76  ;    31 with value (4 19)        202 with value (4 35)          28 with value (4 57)
% 3.56/3.76  ;    58 with value (4 20)        187 with value (4 36)           6 with value (4 62)
% 3.56/3.76  ;    88 with value (4 21)         47 with value (4 37)
% 3.56/3.76  Evaluation took:
% 3.56/3.76    3.292 seconds of real time
% 3.56/3.76    3.127605 seconds of user run time
% 3.56/3.76    0.163555 seconds of system run time
% 3.56/3.76    [Run times include 0.282 seconds GC run time.]
% 3.56/3.76    0 calls to %EVAL
% 3.56/3.76    0 page faults and
% 3.56/3.76    276,512,832 bytes consed.
% 3.56/3.76  :PROOF-FOUND
% 3.56/3.76  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-08T01:24:03
% 3.56/3.76  :PROOF-FOUND
% 3.56/3.76  * 
%------------------------------------------------------------------------------