TSTP Solution File: RNG105+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : RNG105+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n025.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 20:40:48 EDT 2022

% Result   : Theorem 9.01s 9.19s
% Output   : Refutation 9.01s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :   10
% Syntax   : Number of clauses     :   16 (  11 unt;   0 nHn;  16 RR)
%            Number of literals    :   26 (   4 equ;  13 neg)
%            Maximal clause size   :    5 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   6 con; 0-2 aty)
%            Number of variables   :    8 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(4,axiom,
    ( ~ aElement0(X)
    | ~ aElement0(Y)
    | aElement0(sdtpldt0(X,Y)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsB) ).

cnf(5,axiom,
    ( ~ aElement0(X)
    | ~ aElement0(Y)
    | aElement0(sdtasdt0(X,Y)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsB_02) ).

cnf(83,axiom,
    ( ~ aElement0(X)
    | Y != slsdtgt0(X)
    | aElementOf0(Z,Y)
    | ~ aElement0(U)
    | sdtasdt0(X,U) != Z ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefPrIdeal) ).

cnf(87,hypothesis,
    aElement0(xc),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1905) ).

cnf(90,hypothesis,
    aElement0(xz),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1933) ).

cnf(91,hypothesis,
    aElement0(xu),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1956) ).

cnf(93,hypothesis,
    aElement0(xv),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1979) ).

cnf(95,hypothesis,
    sdtpldt0(xx,xy) = sdtasdt0(xc,sdtpldt0(xu,xv)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2010) ).

cnf(96,hypothesis,
    sdtasdt0(xz,xx) = sdtasdt0(xc,sdtasdt0(xu,xz)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2043) ).

cnf(97,negated_conjecture,
    ( ~ aElementOf0(sdtpldt0(xx,xy),slsdtgt0(xc))
    | ~ aElementOf0(sdtasdt0(xz,xx),slsdtgt0(xc)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).

cnf(98,plain,
    ( ~ aElementOf0(sdtasdt0(xc,sdtpldt0(xu,xv)),slsdtgt0(xc))
    | ~ aElementOf0(sdtasdt0(xz,xx),slsdtgt0(xc)) ),
    inference('REWRITE',[status(thm)],[97,95,theory(equality)]) ).

cnf(141,plain,
    aElement0(sdtpldt0(xu,xv)),
    inference('HYPERRESOLVE',[status(thm)],[4,91,93]) ).

cnf(167,plain,
    aElement0(sdtasdt0(xu,xz)),
    inference('HYPERRESOLVE',[status(thm)],[5,91,90]) ).

cnf(24352,plain,
    aElementOf0(sdtasdt0(xc,sdtpldt0(xu,xv)),slsdtgt0(xc)),
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[83,141,87,95,theory(equality)]),95,theory(equality)]) ).

cnf(24353,plain,
    ~ aElementOf0(sdtasdt0(xz,xx),slsdtgt0(xc)),
    inference('REWRITE',[status(thm)],[98,24352]) ).

cnf(28013,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[83,24353,87,96,theory(equality)]),167]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem  : RNG105+1 : TPTP v8.1.0. Released v4.0.0.
% 0.12/0.14  % Command  : run-snark %s %d
% 0.14/0.35  % Computer : n025.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 600
% 0.14/0.35  % DateTime : Mon May 30 15:14:12 EDT 2022
% 0.14/0.35  % CPUTime  : 
% 0.20/0.47  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.48  * 
% 0.20/0.49  * 
% 0.20/0.49  #<PACKAGE "SNARK-USER">
% 0.20/0.49  * 
% 0.20/0.49  SNARK-TPTP-OPTIONS
% 0.20/0.49  * 
% 0.20/0.49  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.49   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.49   (USE-FACTORING :POS)
% 0.20/0.49   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.49   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.49   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.49   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.49   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.49   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.49   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.49   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.49   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.49   (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.49  * 
% 0.20/0.49  "."
% 0.20/0.49  * 
% 0.20/0.49  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-05-30T15:14:12
% 0.20/0.49  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n025.cluster.edu at 2022-05-30T15:14:12
% 0.20/0.52  WARNING:
% 0.20/0.52     |aNaturalNumber0| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.20/0.52  WARNING:
% 0.20/0.52     |iLess0| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 9.01/9.18  
% 9.01/9.18  
% 9.01/9.19  #||
% 9.01/9.19  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 9.01/9.19  % SZS output start Refutation
% See solution above
% 9.01/9.19  ||#
% 9.01/9.19  
% 9.01/9.19  ; Summary of computation:
% 9.01/9.19  ;     61423 formulas have been input or derived (from 119 formulas).
% 9.01/9.19  ;     28013 (46%) were retained.  Of these,
% 9.01/9.19  ;         4391 (16%) were simplified or subsumed later,
% 9.01/9.19  ;        23622 (84%) are still being kept.
% 9.01/9.19  ; 
% 9.01/9.19  ; Run time in seconds excluding printing time:
% 9.01/9.19  ;     0.012   0%   Read assertion file          (1 call)
% 9.01/9.19  ;     0.004   0%   Assert                       (44 calls)
% 9.01/9.19  ;     3.035  35%   Process new row              (61,363 calls)
% 9.01/9.19  ;     2.227  26%   Resolution                   (236 calls)
% 9.01/9.19  ;     0.005   0%   Paramodulation               (118 calls)
% 9.01/9.19  ;     0.005   0%   Condensing                   (2,601 calls)
% 9.01/9.19  ;     0.266   3%   Forward subsumption          (2,601 calls)
% 9.01/9.19  ;     0.058   1%   Backward subsumption         (2,193 calls)
% 9.01/9.19  ;     0.006   0%   Clause clause subsumption    (2,546 calls)
% 9.01/9.19  ;     2.039  23%   Forward simplification       (61,361 calls)
% 9.01/9.19  ;     0.702   8%   Backward simplification      (28,012 calls)
% 9.01/9.19  ;     0.115   1%   Ordering                     (30,006 calls)
% 9.01/9.19  ;     0.000   0%   Sortal reasoning             (32 calls)
% 9.01/9.19  ;     0.001   0%   Purity testing               (1 call)
% 9.01/9.19  ;     0.216   2%   Other
% 9.01/9.19  ;     8.691        Total
% 9.01/9.19  ;     8.693        Real time
% 9.01/9.19  ; 
% 9.01/9.19  ; Term-hash-array has 66,115 terms in all.
% 9.01/9.19  ; Feature-vector-row-index has 2,190 entries (2,191 at peak, 2,193 added, 3 deleted).
% 9.01/9.19  ; Feature-vector-row-index has 11,299 nodes (11,324 at peak, 11,333 added, 34 deleted).
% 9.01/9.19  ;  Retrieved 2,251 possibly forward subsuming rows in 2,601 calls.
% 9.01/9.19  ;  Retrieved 951 possibly backward subsumed rows in 2,193 calls.
% 9.01/9.19  ; Path-index has 58,766 entries (58,766 at peak, 69,438 added, 10,672 deleted).
% 9.01/9.19  ; Path-index has 3,461 nodes (3,461 at peak, 3,561 added, 100 deleted).
% 9.01/9.19  ; Trie-index has 58,766 entries (58,766 at peak, 69,438 added, 10,672 deleted).
% 9.01/9.19  ; Trie-index has 250,227 nodes (250,227 at peak, 293,136 added, 42,909 deleted).
% 9.01/9.19  ; Retrieved 97,480 generalization terms in 487,891 calls.
% 9.01/9.19  ; Retrieved 25,872 instance terms in 25,818 calls.
% 9.01/9.19  ; Retrieved 4,762,071 unifiable terms in 84,569 calls.
% 9.01/9.19  ; 
% 9.01/9.19  ; The agenda of rows to process has 31 entries:
% 9.01/9.19  ;     1 with value 9               2 with value 11              17 with value 14
% 9.01/9.19  ;     6 with value 10              5 with value 13
% 9.01/9.19  ; The agenda of rows to give has 23504 entries:
% 9.01/9.19  ;     1 with value (4 6)         964 with value (4 18)         405 with value (4 30)
% 9.01/9.19  ;    65 with value (4 7)        1896 with value (4 19)         320 with value (4 31)
% 9.01/9.19  ;    86 with value (4 8)         908 with value (4 20)         340 with value (4 32)
% 9.01/9.19  ;    39 with value (4 9)        2750 with value (4 21)         250 with value (4 33)
% 9.01/9.19  ;   167 with value (4 10)        616 with value (4 22)          97 with value (4 34)
% 9.01/9.19  ;   361 with value (4 11)       2361 with value (4 23)           1 with value (4 36)
% 9.01/9.19  ;   260 with value (4 12)        943 with value (4 24)          25 with value (4 37)
% 9.01/9.19  ;   355 with value (4 13)       2096 with value (4 25)         702 with value (4 39)
% 9.01/9.19  ;   568 with value (4 14)       1195 with value (4 26)          30 with value (4 40)
% 9.01/9.19  ;   601 with value (4 15)       1667 with value (4 27)          30 with value (4 45)
% 9.01/9.19  ;   982 with value (4 16)        579 with value (4 28)           1 with value (4 46)
% 9.01/9.19  ;   789 with value (4 17)        838 with value (4 29)         216 with value (4 53)
% 9.01/9.19  Evaluation took:
% 9.01/9.19    8.698 seconds of real time
% 9.01/9.19    8.096332 seconds of user run time
% 9.01/9.19    0.600873 seconds of system run time
% 9.01/9.19    [Run times include 1.938 seconds GC run time.]
% 9.01/9.19    0 calls to %EVAL
% 9.01/9.19    0 page faults and
% 9.01/9.19    600,192,056 bytes consed.
% 9.01/9.19  :PROOF-FOUND
% 9.01/9.19  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-05-30T15:14:21
% 9.01/9.19  :PROOF-FOUND
% 9.01/9.19  * 
%------------------------------------------------------------------------------