TSTP Solution File: RNG059+2 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : RNG059+2 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n019.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 20:40:41 EDT 2022

% Result   : Theorem 0.47s 0.66s
% Output   : Refutation 0.47s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    6
% Syntax   : Number of clauses     :    9 (   6 unt;   0 nHn;   9 RR)
%            Number of literals    :   16 (   6 equ;   8 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;   3 con; 0-2 aty)
%            Number of variables   :    7 (   1 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(24,axiom,
    ( ~ aScalar0(X)
    | ~ aScalar0(Y)
    | ~ aScalar0(Z)
    | sdtasdt0(X,Y) = sdtasdt0(Y,X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mArith) ).

cnf(25,plain,
    ( ~ aScalar0(X)
    | ~ aScalar0(Y)
    | sdtasdt0(X,Y) = sdtasdt0(Y,X) ),
    inference('CONDENSE',[status(thm)],[24]) ).

cnf(30,axiom,
    ( ~ aScalar0(X)
    | ~ aScalar0(Y)
    | sdtasdt0(smndt0(X),Y) = smndt0(sdtasdt0(X,Y)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMNeg) ).

cnf(85,hypothesis,
    aScalar0(xR),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1892) ).

cnf(89,hypothesis,
    aScalar0(xS),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1930) ).

cnf(92,hypothesis,
    xN = sdtasdt0(xR,xS),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1949) ).

cnf(95,negated_conjecture,
    sdtasdt0(smndt0(xS),xR) != smndt0(xN),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).

cnf(670,plain,
    sdtasdt0(xS,xR) = xN,
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[25,89,85]),92,theory(equality)]) ).

cnf(898,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[30,89,85]),95,670,theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : RNG059+2 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13  % Command  : run-snark %s %d
% 0.13/0.35  % Computer : n019.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 600
% 0.13/0.35  % DateTime : Mon May 30 12:52:40 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.21/0.47  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.48  * 
% 0.21/0.48  * 
% 0.21/0.49  #<PACKAGE "SNARK-USER">
% 0.21/0.49  * 
% 0.21/0.49  SNARK-TPTP-OPTIONS
% 0.21/0.49  * 
% 0.21/0.49  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.49   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.49   (USE-FACTORING :POS)
% 0.21/0.49   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.49   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.49   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.49   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.49   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.49   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.49   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.49   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.49   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.49   (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.49  * 
% 0.21/0.49  "."
% 0.21/0.49  * 
% 0.21/0.49  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-05-30T12:52:41
% 0.21/0.49  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n019.cluster.edu at 2022-05-30T12:52:41
% 0.47/0.66  
% 0.47/0.66  
% 0.47/0.66  #||
% 0.47/0.66  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.47/0.66  % SZS output start Refutation
% See solution above
% 0.47/0.66  ||#
% 0.47/0.66  
% 0.47/0.66  ; Summary of computation:
% 0.47/0.66  ;      2660 formulas have been input or derived (from 69 formulas).
% 0.47/0.66  ;       898 (34%) were retained.  Of these,
% 0.47/0.66  ;           13 ( 1%) were simplified or subsumed later,
% 0.47/0.66  ;          885 (99%) are still being kept.
% 0.47/0.66  ; 
% 0.47/0.66  ; Run time in seconds excluding printing time:
% 0.47/0.66  ;     0.013   8%   Read assertion file          (1 call)
% 0.47/0.66  ;     0.001   1%   Assert                       (58 calls)
% 0.47/0.66  ;     0.060  36%   Process new row              (2,305 calls)
% 0.47/0.66  ;     0.033  20%   Resolution                   (136 calls)
% 0.47/0.66  ;     0.003   2%   Paramodulation               (68 calls)
% 0.47/0.66  ;     0.000   0%   Condensing                   (204 calls)
% 0.47/0.66  ;     0.002   1%   Forward subsumption          (204 calls)
% 0.47/0.66  ;     0.000   0%   Backward subsumption         (128 calls)
% 0.47/0.66  ;     0.000   0%   Clause clause subsumption    (117 calls)
% 0.47/0.66  ;     0.016  10%   Forward simplification       (2,305 calls)
% 0.47/0.66  ;     0.006   4%   Backward simplification      (894 calls)
% 0.47/0.66  ;     0.000   0%   Ordering                     (500 calls)
% 0.47/0.66  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.47/0.66  ;     0.000   0%   Purity testing               (1 call)
% 0.47/0.66  ;     0.033  20%   Other
% 0.47/0.66  ;     0.167        Total
% 0.47/0.66  ;     0.168        Real time
% 0.47/0.66  ; 
% 0.47/0.66  ; Term-hash-array has 1,769 terms in all.
% 0.47/0.66  ; Feature-vector-row-index has 127 entries (127 at peak, 128 added, 1 deleted).
% 0.47/0.66  ; Feature-vector-row-index has 355 nodes (355 at peak, 362 added, 7 deleted).
% 0.47/0.66  ;  Retrieved 189 possibly forward subsuming rows in 204 calls.
% 0.47/0.66  ;  Retrieved 45 possibly backward subsumed rows in 128 calls.
% 0.47/0.66  ; Path-index has 1,779 entries (1,779 at peak, 1,787 added, 8 deleted).
% 0.47/0.66  ; Path-index has 893 nodes (893 at peak, 896 added, 3 deleted).
% 0.47/0.66  ; Trie-index has 1,779 entries (1,779 at peak, 1,787 added, 8 deleted).
% 0.47/0.66  ; Trie-index has 3,396 nodes (3,396 at peak, 3,406 added, 10 deleted).
% 0.47/0.66  ; Retrieved 1,672 generalization terms in 5,509 calls.
% 0.47/0.66  ; Retrieved 765 instance terms in 765 calls.
% 0.47/0.66  ; Retrieved 58,139 unifiable terms in 2,203 calls.
% 0.47/0.66  ; 
% 0.47/0.66  ; The agenda of rows to process has 321 entries:
% 0.47/0.66  ;   321 with value 13
% 0.47/0.66  ; The agenda of input rows to give has 23 entries:
% 0.47/0.66  ;     3 with value 18              2 with value 25               1 with value 38
% 0.47/0.66  ;     1 with value 19              1 with value 26               1 with value 39
% 0.47/0.66  ;     3 with value 21              2 with value 27               1 with value 41
% 0.47/0.66  ;     2 with value 23              2 with value 29               1 with value 43
% 0.47/0.66  ;     1 with value 24              2 with value 33
% 0.47/0.66  ; The agenda of rows to give has 794 entries:
% 0.47/0.66  ;    17 with value (4 5)          67 with value (4 8)           12 with value (4 11)
% 0.47/0.66  ;    16 with value (4 6)          86 with value (4 9)          147 with value (4 13)
% 0.47/0.66  ;   281 with value (4 7)         166 with value (4 10)           2 with value (4 17)
% 0.47/0.66  Evaluation took:
% 0.47/0.66    0.169 seconds of real time
% 0.47/0.66    0.146501 seconds of user run time
% 0.47/0.66    0.022124 seconds of system run time
% 0.47/0.66    0 calls to %EVAL
% 0.47/0.66    0 page faults and
% 0.47/0.66    10,561,408 bytes consed.
% 0.47/0.66  :PROOF-FOUND
% 0.47/0.66  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-05-30T12:52:41
% 0.47/0.66  :PROOF-FOUND
% 0.47/0.66  * 
%------------------------------------------------------------------------------