TSTP Solution File: RNG103+2 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : RNG103+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 20:40:48 EDT 2022

% Result   : Theorem 0.69s 0.88s
% Output   : Refutation 0.69s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    1
%            Number of leaves      :    7
% Syntax   : Number of clauses     :    8 (   7 unt;   0 nHn;   8 RR)
%            Number of literals    :   11 (   4 equ;   4 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    :    7 (   7 usr;   5 con; 0-2 aty)
%            Number of variables   :    3 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(16,axiom,
    ( ~ aElement0(X)
    | ~ aElement0(Y)
    | ~ aElement0(Z)
    | sdtasdt0(X,sdtpldt0(Y,Z)) = sdtpldt0(sdtasdt0(X,Y),sdtasdt0(X,Z)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mAMDistr) ).

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

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(97,hypothesis,
    aElement0(xv),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1979) ).

cnf(98,hypothesis,
    sdtasdt0(xc,xv) = xy,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1979) ).

cnf(99,negated_conjecture,
    sdtpldt0(xx,xy) != sdtasdt0(xc,sdtpldt0(xu,xv)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).

cnf(1673,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[16,87,95,97]),99,98,96,theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem  : RNG103+2 : TPTP v8.1.0. Released v4.0.0.
% 0.12/0.13  % Command  : run-snark %s %d
% 0.14/0.35  % Computer : n023.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 12:36:12 EDT 2022
% 0.14/0.35  % CPUTime  : 
% 0.20/0.47  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.48  * 
% 0.20/0.48  * 
% 0.20/0.48  #<PACKAGE "SNARK-USER">
% 0.20/0.48  * 
% 0.20/0.48  SNARK-TPTP-OPTIONS
% 0.20/0.48  * 
% 0.20/0.48  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.48   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.48   (USE-FACTORING :POS)
% 0.20/0.48   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.48   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.48   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.48   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.48   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.48   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.48   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.48   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.48   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.48   (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.48  * 
% 0.20/0.48  "."
% 0.20/0.48  * 
% 0.20/0.48  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-05-30T12:36:12
% 0.20/0.48  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n023.cluster.edu at 2022-05-30T12:36:12
% 0.20/0.51  WARNING:
% 0.20/0.51     |aNaturalNumber0| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.20/0.51  WARNING:
% 0.20/0.51     |iLess0| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 0.69/0.88  
% 0.69/0.88  
% 0.69/0.88  #||
% 0.69/0.88  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.69/0.88  % SZS output start Refutation
% See solution above
% 0.69/0.88  ||#
% 0.69/0.88  
% 0.69/0.88  ; Summary of computation:
% 0.69/0.88  ;      4293 formulas have been input or derived (from 73 formulas).
% 0.69/0.88  ;      1673 (39%) were retained.  Of these,
% 0.69/0.88  ;          111 ( 7%) were simplified or subsumed later,
% 0.69/0.88  ;         1562 (93%) are still being kept.
% 0.69/0.88  ; 
% 0.69/0.88  ; Run time in seconds:
% 0.69/0.88  ;     0.011   3%   Read assertion file          (1 call)
% 0.69/0.88  ;     0.004   1%   Assert                       (42 calls)
% 0.69/0.88  ;     0.142  36%   Process new row              (3,598 calls)
% 0.69/0.88  ;     0.108  27%   Resolution                   (144 calls)
% 0.69/0.88  ;     0.003   1%   Paramodulation               (72 calls)
% 0.69/0.88  ;     0.001   0%   Condensing                   (191 calls)
% 0.69/0.88  ;     0.004   1%   Forward subsumption          (191 calls)
% 0.69/0.88  ;     0.003   1%   Backward subsumption         (187 calls)
% 0.69/0.88  ;     0.000   0%   Clause clause subsumption    (38 calls)
% 0.69/0.88  ;     0.056  14%   Forward simplification       (3,596 calls)
% 0.69/0.88  ;     0.014   4%   Backward simplification      (1,673 calls)
% 0.69/0.88  ;     0.005   1%   Ordering                     (1,543 calls)
% 0.69/0.88  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.69/0.88  ;     0.001   0%   Purity testing               (1 call)
% 0.69/0.88  ;     0.041  10%   Other
% 0.69/0.88  ;     0.393        Total
% 0.69/0.88  ;     0.393        Real time
% 0.69/0.88  ; 
% 0.69/0.88  ; Term-hash-array has 3,967 terms in all.
% 0.69/0.88  ; Feature-vector-row-index has 187 entries (187 at peak, 187 added, 0 deleted).
% 0.69/0.88  ; Feature-vector-row-index has 576 nodes (576 at peak, 576 added, 0 deleted).
% 0.69/0.88  ;  Retrieved 38 possibly forward subsuming rows in 191 calls.
% 0.69/0.88  ;  Retrieved 24 possibly backward subsumed rows in 187 calls.
% 0.69/0.88  ; Path-index has 3,771 entries (3,771 at peak, 4,064 added, 293 deleted).
% 0.69/0.88  ; Path-index has 1,132 nodes (1,132 at peak, 1,132 added, 0 deleted).
% 0.69/0.88  ; Trie-index has 3,771 entries (3,771 at peak, 4,064 added, 293 deleted).
% 0.69/0.88  ; Trie-index has 10,258 nodes (10,258 at peak, 11,074 added, 816 deleted).
% 0.69/0.88  ; Retrieved 4,504 generalization terms in 16,198 calls.
% 0.69/0.88  ; Retrieved 1,485 instance terms in 1,485 calls.
% 0.69/0.88  ; Retrieved 250,563 unifiable terms in 7,876 calls.
% 0.69/0.88  ; 
% 0.69/0.88  ; The agenda of rows to process has 695 entries:
% 0.69/0.88  ;   695 with value 17
% 0.69/0.88  ; The agenda of input rows to give has 27 entries:
% 0.69/0.88  ;     6 with value 25              1 with value 29               1 with value 40
% 0.69/0.88  ;     2 with value 26              5 with value 31               1 with value 41
% 0.69/0.88  ;     3 with value 27              5 with value 32               1 with value 42
% 0.69/0.88  ;     2 with value 28
% 0.69/0.88  ; The agenda of rows to give has 1462 entries:
% 0.69/0.88  ;     2 with value (4 4)          67 with value (4 10)           1 with value (4 16)
% 0.69/0.88  ;    16 with value (4 6)         170 with value (4 11)         111 with value (4 17)
% 0.69/0.88  ;   115 with value (4 7)           2 with value (4 12)          73 with value (4 18)
% 0.69/0.88  ;    59 with value (4 8)         272 with value (4 13)          30 with value (4 20)
% 0.69/0.88  ;    28 with value (4 9)         516 with value (4 15)
% 0.69/0.88  Evaluation took:
% 0.69/0.88    0.394 seconds of real time
% 0.69/0.88    0.364591 seconds of user run time
% 0.69/0.88    0.028971 seconds of system run time
% 0.69/0.88    [Run times include 0.029 seconds GC run time.]
% 0.69/0.88    0 calls to %EVAL
% 0.69/0.88    0 page faults and
% 0.69/0.88    26,434,832 bytes consed.
% 0.69/0.88  :PROOF-FOUND
% 0.69/0.88  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-05-30T12:36:12
% 0.69/0.88  :PROOF-FOUND
% 0.69/0.88  * 
%------------------------------------------------------------------------------