TSTP Solution File: RNG095+2 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : RNG095+2 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n023.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 20:40:46 EDT 2022

% Result   : Theorem 0.71s 0.89s
% Output   : Refutation 0.71s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    5
% Syntax   : Number of clauses     :    9 (   5 unt;   0 nHn;   9 RR)
%            Number of literals    :   14 (   3 equ;   6 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   3 con; 0-2 aty)
%            Number of variables   :    5 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(2,axiom,
    aElement0(sz10),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsC_01) ).

cnf(65,hypothesis,
    ( ~ aElement0(X)
    | aElementOf0('SKOLEMAAAU12'(X),xI) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1205_03) ).

cnf(66,hypothesis,
    ( ~ aElement0(X)
    | aElementOf0('SKOLEMAAAU13'(X),xJ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1205_03) ).

cnf(67,hypothesis,
    ( ~ aElement0(X)
    | sdtpldt0('SKOLEMAAAU12'(X),'SKOLEMAAAU13'(X)) = X ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1205_03) ).

cnf(71,negated_conjecture,
    ( ~ aElementOf0(X,xI)
    | ~ aElementOf0(Y,xJ)
    | sdtpldt0(X,Y) != sz10 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).

cnf(78,plain,
    aElementOf0('SKOLEMAAAU12'(sz10),xI),
    inference('HYPERRESOLVE',[status(thm)],[65,2]) ).

cnf(82,plain,
    aElementOf0('SKOLEMAAAU13'(sz10),xJ),
    inference('HYPERRESOLVE',[status(thm)],[66,2]) ).

cnf(146,plain,
    sdtpldt0('SKOLEMAAAU12'(sz10),'SKOLEMAAAU13'(sz10)) = sz10,
    inference('HYPERRESOLVE',[status(thm)],[67,2]) ).

cnf(1570,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[71,82,78]),146,theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : RNG095+2 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.12  % Command  : run-snark %s %d
% 0.13/0.31  % Computer : n023.cluster.edu
% 0.13/0.31  % Model    : x86_64 x86_64
% 0.13/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.31  % Memory   : 8042.1875MB
% 0.13/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.31  % CPULimit : 300
% 0.13/0.31  % WCLimit  : 600
% 0.13/0.32  % DateTime : Mon May 30 12:04:42 EDT 2022
% 0.13/0.32  % CPUTime  : 
% 0.18/0.43  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.44  * 
% 0.18/0.44  * 
% 0.18/0.44  #<PACKAGE "SNARK-USER">
% 0.18/0.44  * 
% 0.18/0.44  SNARK-TPTP-OPTIONS
% 0.18/0.44  * 
% 0.18/0.44  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.18/0.44   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.18/0.44   (USE-FACTORING :POS)
% 0.18/0.44   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.18/0.44   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.18/0.44   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.18/0.44   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.18/0.44   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.18/0.44   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.18/0.44   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.18/0.44   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.18/0.44   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.18/0.44   (DECLARE-TPTP-SYMBOLS2))
% 0.18/0.44  * 
% 0.18/0.44  "."
% 0.18/0.44  * 
% 0.18/0.44  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-05-30T12:04:42
% 0.18/0.44  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n023.cluster.edu at 2022-05-30T12:04:42
% 0.71/0.89  
% 0.71/0.89  
% 0.71/0.89  #||
% 0.71/0.89  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.71/0.89  % SZS output start Refutation
% See solution above
% 0.71/0.90  ||#
% 0.71/0.90  
% 0.71/0.90  ; Summary of computation:
% 0.71/0.90  ;      4675 formulas have been input or derived (from 84 formulas).
% 0.71/0.90  ;      1570 (34%) were retained.  Of these,
% 0.71/0.90  ;          253 (16%) were simplified or subsumed later,
% 0.71/0.90  ;         1317 (84%) are still being kept.
% 0.71/0.90  ; 
% 0.71/0.90  ; Run time in seconds excluding printing time:
% 0.71/0.90  ;     0.008   2%   Read assertion file          (1 call)
% 0.71/0.90  ;     0.003   1%   Assert                       (31 calls)
% 0.71/0.90  ;     0.122  27%   Process new row              (4,599 calls)
% 0.71/0.90  ;     0.101  22%   Resolution                   (166 calls)
% 0.71/0.90  ;     0.000   0%   Paramodulation               (83 calls)
% 0.71/0.90  ;     0.003   1%   Condensing                   (104 calls)
% 0.71/0.90  ;     0.003   1%   Forward subsumption          (104 calls)
% 0.71/0.90  ;     0.004   1%   Backward subsumption         (98 calls)
% 0.71/0.90  ;     0.000   0%   Clause clause subsumption    (70 calls)
% 0.71/0.90  ;     0.128  28%   Forward simplification       (4,599 calls)
% 0.71/0.90  ;     0.027   6%   Backward simplification      (1,570 calls)
% 0.71/0.90  ;     0.004   1%   Ordering                     (1,362 calls)
% 0.71/0.90  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.71/0.90  ;     0.000   0%   Purity testing               (1 call)
% 0.71/0.90  ;     0.047  10%   Other
% 0.71/0.90  ;     0.450        Total
% 0.71/0.90  ;     0.453        Real time
% 0.71/0.90  ; 
% 0.71/0.90  ; Term-hash-array has 3,370 terms in all.
% 0.71/0.90  ; Feature-vector-row-index has 96 entries (96 at peak, 98 added, 2 deleted).
% 0.71/0.90  ; Feature-vector-row-index has 406 nodes (406 at peak, 406 added, 0 deleted).
% 0.71/0.90  ;  Retrieved 54 possibly forward subsuming rows in 104 calls.
% 0.71/0.90  ;  Retrieved 23 possibly backward subsumed rows in 98 calls.
% 0.71/0.90  ; Path-index has 2,936 entries (2,936 at peak, 3,518 added, 582 deleted).
% 0.71/0.90  ; Path-index has 1,157 nodes (1,157 at peak, 1,178 added, 21 deleted).
% 0.71/0.90  ; Trie-index has 2,936 entries (2,936 at peak, 3,518 added, 582 deleted).
% 0.71/0.90  ; Trie-index has 10,131 nodes (10,131 at peak, 12,270 added, 2,139 deleted).
% 0.71/0.90  ; Retrieved 9,296 generalization terms in 26,725 calls.
% 0.71/0.90  ; Retrieved 1,471 instance terms in 1,471 calls.
% 0.71/0.90  ; Retrieved 96,382 unifiable terms in 8,376 calls.
% 0.71/0.90  ; 
% 0.71/0.90  ; The agenda of rows to process has 32 entries:
% 0.71/0.90  ;     4 with value 12             28 with value 14
% 0.71/0.90  ; The agenda of rows to give has 1233 entries:
% 0.71/0.90  ;    35 with value (4 7)         108 with value (4 14)         127 with value (4 21)
% 0.71/0.90  ;    24 with value (4 8)          67 with value (4 15)          60 with value (4 22)
% 0.71/0.90  ;     3 with value (4 9)          72 with value (4 16)          27 with value (4 23)
% 0.71/0.90  ;    48 with value (4 10)        115 with value (4 17)          42 with value (4 24)
% 0.71/0.90  ;    68 with value (4 11)         55 with value (4 18)          54 with value (4 25)
% 0.71/0.90  ;    70 with value (4 12)        136 with value (4 19)          12 with value (4 27)
% 0.71/0.90  ;    66 with value (4 13)         36 with value (4 20)           8 with value (4 33)
% 0.71/0.90  Evaluation took:
% 0.71/0.90    0.453 seconds of real time
% 0.71/0.90    0.409792 seconds of user run time
% 0.71/0.90    0.041971 seconds of system run time
% 0.71/0.90    [Run times include 0.023 seconds GC run time.]
% 0.71/0.90    0 calls to %EVAL
% 0.71/0.90    0 page faults and
% 0.71/0.90    28,095,272 bytes consed.
% 0.71/0.90  :PROOF-FOUND
% 0.71/0.90  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-05-30T12:04:42
% 0.71/0.90  :PROOF-FOUND
% 0.71/0.90  * 
%------------------------------------------------------------------------------