TSTP Solution File: RNG104+2 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : RNG104+2 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n020.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 0.59s 0.76s
% Output   : Refutation 0.59s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   12 (   9 unt;   0 nHn;  12 RR)
%            Number of literals    :   19 (   6 equ;   9 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   4 con; 0-2 aty)
%            Number of variables   :    7 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(5,axiom,
    ( ~ aElement0(X)
    | ~ aElement0(Y)
    | aElement0(sdtasdt0(X,Y)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsB_02) ).

cnf(12,axiom,
    ( ~ aElement0(X)
    | ~ aElement0(Y)
    | sdtasdt0(X,Y) = sdtasdt0(Y,X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulComm) ).

cnf(13,axiom,
    ( ~ aElement0(X)
    | ~ aElement0(Y)
    | ~ aElement0(Z)
    | sdtasdt0(sdtasdt0(X,Y),Z) = sdtasdt0(X,sdtasdt0(Y,Z)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulAsso) ).

cnf(87,hypothesis,
    aElement0(xc),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1905) ).

cnf(94,hypothesis,
    aElement0(xz),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1933) ).

cnf(95,hypothesis,
    aElement0(xu),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1956) ).

cnf(96,hypothesis,
    sdtasdt0(xc,xu) = xx,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1956) ).

cnf(100,negated_conjecture,
    sdtasdt0(xz,xx) != sdtasdt0(xc,sdtasdt0(xu,xz)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).

cnf(232,plain,
    aElement0(xx),
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[5,87,95]),96,theory(equality)]) ).

cnf(1122,plain,
    sdtasdt0(xx,xz) = sdtasdt0(xc,sdtasdt0(xu,xz)),
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[13,87,95,94]),96,theory(equality)]) ).

cnf(1123,plain,
    sdtasdt0(xz,xx) != sdtasdt0(xx,xz),
    inference('REWRITE',[status(thm)],[100,1122,theory(equality)]) ).

cnf(1213,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[12,1123,94]),232]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.08  % Problem  : RNG104+2 : TPTP v8.1.0. Released v4.0.0.
% 0.08/0.09  % Command  : run-snark %s %d
% 0.08/0.28  % Computer : n020.cluster.edu
% 0.08/0.28  % Model    : x86_64 x86_64
% 0.08/0.28  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.28  % Memory   : 8042.1875MB
% 0.08/0.28  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.08/0.29  % CPULimit : 300
% 0.08/0.29  % WCLimit  : 600
% 0.08/0.29  % DateTime : Mon May 30 05:27:54 EDT 2022
% 0.08/0.29  % CPUTime  : 
% 0.13/0.37  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.38  * 
% 0.13/0.38  * 
% 0.13/0.38  #<PACKAGE "SNARK-USER">
% 0.13/0.38  * 
% 0.13/0.38  SNARK-TPTP-OPTIONS
% 0.13/0.38  * 
% 0.13/0.38  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.13/0.38   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.13/0.38   (USE-FACTORING :POS)
% 0.13/0.38   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.13/0.38   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.13/0.38   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.13/0.38   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.13/0.38   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.13/0.38   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.13/0.38   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.13/0.38   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.13/0.38   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.13/0.38   (DECLARE-TPTP-SYMBOLS2))
% 0.13/0.38  * 
% 0.13/0.38  "."
% 0.13/0.38  * 
% 0.13/0.38  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-05-30T05:27:54
% 0.13/0.38  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n020.cluster.edu at 2022-05-30T05:27:54
% 0.13/0.40  WARNING:
% 0.13/0.40     |aNaturalNumber0| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.13/0.41  WARNING:
% 0.13/0.41     |iLess0| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 0.59/0.76  
% 0.59/0.76  
% 0.59/0.76  #||
% 0.59/0.76  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.59/0.76  % SZS output start Refutation
% See solution above
% 0.59/0.77  ||#
% 0.59/0.77  
% 0.59/0.77  ; Summary of computation:
% 0.59/0.77  ;      3033 formulas have been input or derived (from 65 formulas).
% 0.59/0.77  ;      1213 (40%) were retained.  Of these,
% 0.59/0.77  ;           15 ( 1%) were simplified or subsumed later,
% 0.59/0.77  ;         1198 (99%) are still being kept.
% 0.59/0.77  ; 
% 0.59/0.77  ; Run time in seconds excluding printing time:
% 0.59/0.77  ;     0.010   3%   Read assertion file          (1 call)
% 0.59/0.77  ;     0.003   1%   Assert                       (43 calls)
% 0.59/0.77  ;     0.120  31%   Process new row              (3,032 calls)
% 0.59/0.77  ;     0.122  32%   Resolution                   (128 calls)
% 0.59/0.77  ;     0.000   0%   Paramodulation               (64 calls)
% 0.59/0.77  ;     0.002   1%   Condensing                   (187 calls)
% 0.59/0.77  ;     0.007   2%   Forward subsumption          (187 calls)
% 0.59/0.77  ;     0.004   1%   Backward subsumption         (185 calls)
% 0.59/0.77  ;     0.000   0%   Clause clause subsumption    (36 calls)
% 0.59/0.77  ;     0.065  17%   Forward simplification       (3,030 calls)
% 0.59/0.77  ;     0.007   2%   Backward simplification      (1,213 calls)
% 0.59/0.77  ;     0.006   2%   Ordering                     (1,136 calls)
% 0.59/0.77  ;     0.001   0%   Sortal reasoning             (32 calls)
% 0.59/0.77  ;     0.001   0%   Purity testing               (1 call)
% 0.59/0.77  ;     0.035   9%   Other
% 0.59/0.77  ;     0.383        Total
% 0.59/0.77  ;     0.385        Real time
% 0.59/0.77  ; 
% 0.59/0.77  ; Term-hash-array has 2,859 terms in all.
% 0.59/0.77  ; Feature-vector-row-index has 185 entries (185 at peak, 185 added, 0 deleted).
% 0.59/0.77  ; Feature-vector-row-index has 568 nodes (568 at peak, 568 added, 0 deleted).
% 0.59/0.77  ;  Retrieved 36 possibly forward subsuming rows in 187 calls.
% 0.59/0.77  ;  Retrieved 24 possibly backward subsumed rows in 185 calls.
% 0.59/0.77  ; Path-index has 2,854 entries (2,854 at peak, 2,879 added, 25 deleted).
% 0.59/0.77  ; Path-index has 989 nodes (989 at peak, 989 added, 0 deleted).
% 0.59/0.77  ; Trie-index has 2,854 entries (2,854 at peak, 2,879 added, 25 deleted).
% 0.59/0.77  ; Trie-index has 7,019 nodes (7,019 at peak, 7,079 added, 60 deleted).
% 0.59/0.77  ; Retrieved 3,978 generalization terms in 13,165 calls.
% 0.59/0.77  ; Retrieved 1,027 instance terms in 1,027 calls.
% 0.59/0.77  ; Retrieved 183,163 unifiable terms in 6,039 calls.
% 0.59/0.77  ; 
% 0.59/0.77  ; The agenda of input rows to give has 37 entries:
% 0.59/0.77  ;     5 with value 23              3 with value 27               5 with value 32
% 0.59/0.77  ;     4 with value 24              2 with value 28               1 with value 40
% 0.59/0.77  ;     7 with value 25              1 with value 29               1 with value 41
% 0.59/0.77  ;     2 with value 26              5 with value 31               1 with value 42
% 0.59/0.77  ; The agenda of rows to give has 1097 entries:
% 0.59/0.77  ;     2 with value (4 4)          55 with value (4 8)            2 with value (4 12)
% 0.59/0.77  ;    16 with value (4 6)          62 with value (4 10)         214 with value (4 13)
% 0.59/0.77  ;    95 with value (4 7)         168 with value (4 11)         483 with value (4 15)
% 0.59/0.77  Evaluation took:
% 0.59/0.77    0.386 seconds of real time
% 0.59/0.77    0.361303 seconds of user run time
% 0.59/0.77    0.023988 seconds of system run time
% 0.59/0.77    [Run times include 0.017 seconds GC run time.]
% 0.59/0.77    0 calls to %EVAL
% 0.59/0.77    0 page faults and
% 0.59/0.77    19,791,504 bytes consed.
% 0.59/0.77  :PROOF-FOUND
% 0.59/0.77  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-05-30T05:27:54
% 0.59/0.77  :PROOF-FOUND
% 0.59/0.77  * 
%------------------------------------------------------------------------------