TSTP Solution File: RNG091+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : RNG091+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n017.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 0.14s 0.49s
% Output   : Refutation 0.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :   11
% Syntax   : Number of clauses     :   16 (  13 unt;   0 nHn;  16 RR)
%            Number of literals    :   24 (   4 equ;  10 neg)
%            Maximal clause size   :    7 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :   12 (  12 usr;   9 con; 0-2 aty)
%            Number of variables   :    7 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(33,axiom,
    ( ~ aSet0(X)
    | ~ aSet0(Y)
    | Z != sdtpldt1(X,Y)
    | aElementOf0(U,Z)
    | ~ aElementOf0(V,X)
    | ~ aElementOf0(W,Y)
    | sdtpldt0(V,W) != U ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefSSum) ).

cnf(45,axiom,
    ( ~ aIdeal0(X)
    | aSet0(X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefIdeal) ).

cnf(53,hypothesis,
    aIdeal0(xI),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__870) ).

cnf(54,hypothesis,
    aIdeal0(xJ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__870) ).

cnf(64,hypothesis,
    aElementOf0(sdtpldt0(xk,xm),xI),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__994) ).

cnf(65,hypothesis,
    aElementOf0(sdtpldt0(xl,xn),xJ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__994) ).

cnf(66,hypothesis,
    aElementOf0(sdtasdt0(xz,xk),xI),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1021) ).

cnf(67,hypothesis,
    aElementOf0(sdtasdt0(xz,xl),xJ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1021) ).

cnf(68,hypothesis,
    sdtpldt0(xx,xy) = sdtpldt0(sdtpldt0(xk,xm),sdtpldt0(xl,xn)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1061) ).

cnf(69,hypothesis,
    sdtasdt0(xz,xx) = sdtpldt0(sdtasdt0(xz,xk),sdtasdt0(xz,xl)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1098) ).

cnf(70,negated_conjecture,
    ( ~ aElementOf0(sdtpldt0(xx,xy),sdtpldt1(xI,xJ))
    | ~ aElementOf0(sdtasdt0(xz,xx),sdtpldt1(xI,xJ)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).

cnf(71,plain,
    aSet0(xJ),
    inference('HYPERRESOLVE',[status(thm)],[45,54]) ).

cnf(72,plain,
    aSet0(xI),
    inference('HYPERRESOLVE',[status(thm)],[45,53]) ).

cnf(271,plain,
    aElementOf0(sdtpldt0(xx,xy),sdtpldt1(xI,xJ)),
    inference('HYPERRESOLVE',[status(thm)],[33,72,71,64,65,68,theory(equality)]) ).

cnf(272,plain,
    ~ aElementOf0(sdtasdt0(xz,xx),sdtpldt1(xI,xJ)),
    inference('REWRITE',[status(thm)],[70,271]) ).

cnf(273,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[33,72,71,66,67,69,theory(equality)]),272]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09  % Problem  : RNG091+1 : TPTP v8.1.0. Released v4.0.0.
% 0.00/0.09  % Command  : run-snark %s %d
% 0.08/0.29  % Computer : n017.cluster.edu
% 0.08/0.29  % Model    : x86_64 x86_64
% 0.08/0.29  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.29  % Memory   : 8042.1875MB
% 0.08/0.29  % 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 20:08:10 EDT 2022
% 0.08/0.29  % CPUTime  : 
% 0.14/0.37  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.38  * 
% 0.14/0.38  * 
% 0.14/0.39  #<PACKAGE "SNARK-USER">
% 0.14/0.39  * 
% 0.14/0.39  SNARK-TPTP-OPTIONS
% 0.14/0.39  * 
% 0.14/0.39  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.14/0.39   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.14/0.39   (USE-FACTORING :POS)
% 0.14/0.39   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.14/0.39   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.14/0.39   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.14/0.39   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.14/0.39   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.14/0.39   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.14/0.39   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.14/0.39   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.14/0.39   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.14/0.39   (DECLARE-TPTP-SYMBOLS2))
% 0.14/0.39  * 
% 0.14/0.39  "."
% 0.14/0.39  * 
% 0.14/0.39  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-05-30T20:08:10
% 0.14/0.39  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n017.cluster.edu at 2022-05-30T20:08:10
% 0.14/0.49  
% 0.14/0.49  
% 0.14/0.49  #||
% 0.14/0.49  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.49  % SZS output start Refutation
% See solution above
% 0.14/0.49  ||#
% 0.14/0.49  
% 0.14/0.49  ; Summary of computation:
% 0.14/0.49  ;       930 formulas have been input or derived (from 73 formulas).
% 0.14/0.49  ;       273 (29%) were retained.  Of these,
% 0.14/0.49  ;            8 ( 3%) were simplified or subsumed later,
% 0.14/0.49  ;          265 (97%) are still being kept.
% 0.14/0.49  ; 
% 0.14/0.49  ; Run time in seconds excluding printing time:
% 0.14/0.49  ;     0.007   7%   Read assertion file          (1 call)
% 0.14/0.49  ;     0.002   2%   Assert                       (33 calls)
% 0.14/0.49  ;     0.018  17%   Process new row              (721 calls)
% 0.14/0.49  ;     0.032  31%   Resolution                   (144 calls)
% 0.14/0.49  ;     0.001   1%   Paramodulation               (72 calls)
% 0.14/0.49  ;     0.003   3%   Condensing                   (66 calls)
% 0.14/0.49  ;     0.003   3%   Forward subsumption          (66 calls)
% 0.14/0.49  ;     0.000   0%   Backward subsumption         (62 calls)
% 0.14/0.49  ;     0.000   0%   Clause clause subsumption    (31 calls)
% 0.14/0.49  ;     0.011  11%   Forward simplification       (721 calls)
% 0.14/0.49  ;     0.002   2%   Backward simplification      (273 calls)
% 0.14/0.49  ;     0.001   1%   Ordering                     (151 calls)
% 0.14/0.49  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.14/0.49  ;     0.000   0%   Purity testing               (1 call)
% 0.14/0.49  ;     0.023  22%   Other
% 0.14/0.49  ;     0.103        Total
% 0.14/0.49  ;     0.105        Real time
% 0.14/0.49  ; 
% 0.14/0.49  ; Term-hash-array has 523 terms in all.
% 0.14/0.49  ; Feature-vector-row-index has 61 entries (62 at peak, 62 added, 1 deleted).
% 0.14/0.49  ; Feature-vector-row-index has 280 nodes (299 at peak, 299 added, 19 deleted).
% 0.14/0.49  ;  Retrieved 23 possibly forward subsuming rows in 66 calls.
% 0.14/0.49  ;  Retrieved 8 possibly backward subsumed rows in 62 calls.
% 0.14/0.49  ; Path-index has 520 entries (520 at peak, 538 added, 18 deleted).
% 0.14/0.49  ; Path-index has 754 nodes (754 at peak, 755 added, 1 deleted).
% 0.14/0.49  ; Trie-index has 520 entries (520 at peak, 538 added, 18 deleted).
% 0.14/0.49  ; Trie-index has 1,424 nodes (1,424 at peak, 1,480 added, 56 deleted).
% 0.14/0.49  ; Retrieved 994 generalization terms in 2,165 calls.
% 0.14/0.49  ; Retrieved 210 instance terms in 210 calls.
% 0.14/0.49  ; Retrieved 28,898 unifiable terms in 2,841 calls.
% 0.14/0.49  ; 
% 0.14/0.49  ; The agenda of rows to process has 201 entries:
% 0.14/0.49  ;    36 with value 11             12 with value 17              36 with value 25
% 0.14/0.49  ;    64 with value 14              4 with value 20              12 with value 34
% 0.14/0.49  ;    37 with value 16
% 0.14/0.49  ; The agenda of input rows to give has 1 entry:
% 0.14/0.49  ;     1 with value 9
% 0.14/0.49  ; The agenda of rows to give has 192 entries:
% 0.14/0.49  ;     4 with value (4 5)          25 with value (4 13)           2 with value (4 25)
% 0.14/0.49  ;     3 with value (4 6)          10 with value (4 14)           2 with value (4 30)
% 0.14/0.49  ;     4 with value (4 7)          11 with value (4 15)           1 with value (4 34)
% 0.14/0.49  ;    41 with value (4 8)           4 with value (4 16)           2 with value (4 39)
% 0.14/0.49  ;     4 with value (4 9)           1 with value (4 17)           2 with value (4 41)
% 0.14/0.49  ;    12 with value (4 10)          6 with value (4 18)           2 with value (4 49)
% 0.14/0.49  ;    53 with value (4 11)          3 with value (4 20)
% 0.14/0.49  Evaluation took:
% 0.14/0.49    0.105 seconds of real time
% 0.14/0.49    0.094772 seconds of user run time
% 0.14/0.49    0.010344 seconds of system run time
% 0.14/0.49    0 calls to %EVAL
% 0.14/0.49    0 page faults and
% 0.14/0.49    6,440,600 bytes consed.
% 0.14/0.49  :PROOF-FOUND
% 0.14/0.49  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-05-30T20:08:10
% 0.14/0.49  :PROOF-FOUND
% 0.14/0.49  * 
%------------------------------------------------------------------------------