TSTP Solution File: LAT381+3 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : LAT381+3 : 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 : Sun Jul 17 06:44:59 EDT 2022

% Result   : Theorem 0.20s 0.51s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :   10
% Syntax   : Number of clauses     :   15 (  11 unt;   0 nHn;  15 RR)
%            Number of literals    :   23 (   2 equ;   9 neg)
%            Maximal clause size   :    5 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   1 prp; 0-3 aty)
%            Number of functors    :    4 (   4 usr;   4 con; 0-0 aty)
%            Number of variables   :    6 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(1,axiom,
    ( ~ aSet0(X)
    | ~ aElementOf0(Y,X)
    | aElement0(Y) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mEOfElem) ).

cnf(9,axiom,
    ( ~ aElement0(X)
    | ~ aElement0(Y)
    | ~ sdtlseqdt0(X,Y)
    | ~ sdtlseqdt0(Y,X)
    | X = Y ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mASymm) ).

cnf(29,hypothesis,
    aSet0(xT),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__725) ).

cnf(33,hypothesis,
    aElementOf0(xu,xT),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__744) ).

cnf(35,hypothesis,
    aUpperBoundOfIn0(xu,xS,xT),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__744) ).

cnf(38,hypothesis,
    ( ~ aUpperBoundOfIn0(X,xS,xT)
    | sdtlseqdt0(xu,X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__744) ).

cnf(40,hypothesis,
    aElementOf0(xv,xT),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__744) ).

cnf(42,hypothesis,
    aUpperBoundOfIn0(xv,xS,xT),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__744) ).

cnf(45,hypothesis,
    ( ~ aUpperBoundOfIn0(X,xS,xT)
    | sdtlseqdt0(xv,X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__744) ).

cnf(47,negated_conjecture,
    xu != xv,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).

cnf(49,plain,
    sdtlseqdt0(xu,xv),
    inference('HYPERRESOLVE',[status(thm)],[38,42]) ).

cnf(50,plain,
    sdtlseqdt0(xv,xu),
    inference('HYPERRESOLVE',[status(thm)],[45,35]) ).

cnf(52,plain,
    aElement0(xu),
    inference('HYPERRESOLVE',[status(thm)],[1,29,33]) ).

cnf(53,plain,
    aElement0(xv),
    inference('HYPERRESOLVE',[status(thm)],[1,29,40]) ).

cnf(62,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[9,49,52,53,47]),50]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem  : LAT381+3 : TPTP v8.1.0. Released v4.0.0.
% 0.06/0.12  % Command  : run-snark %s %d
% 0.14/0.33  % Computer : n017.cluster.edu
% 0.14/0.33  % Model    : x86_64 x86_64
% 0.14/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33  % Memory   : 8042.1875MB
% 0.14/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33  % CPULimit : 300
% 0.14/0.33  % WCLimit  : 600
% 0.14/0.33  % DateTime : Tue Jun 28 18:21:07 EDT 2022
% 0.14/0.33  % CPUTime  : 
% 0.20/0.44  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.45  * 
% 0.20/0.45  * 
% 0.20/0.46  #<PACKAGE "SNARK-USER">
% 0.20/0.46  * 
% 0.20/0.46  SNARK-TPTP-OPTIONS
% 0.20/0.46  * 
% 0.20/0.46  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.46   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.46   (USE-FACTORING :POS)
% 0.20/0.46   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.46   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.46   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.46   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.46   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.46   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.46   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.46   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.46   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.46   (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.46  * 
% 0.20/0.46  "."
% 0.20/0.46  * 
% 0.20/0.46  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-28T18:21:07
% 0.20/0.46  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n017.cluster.edu at 2022-06-28T18:21:07
% 0.20/0.51  
% 0.20/0.51  
% 0.20/0.51  #||
% 0.20/0.51  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.51  % SZS output start Refutation
% See solution above
% 0.20/0.51  ||#
% 0.20/0.51  
% 0.20/0.51  ; Summary of computation:
% 0.20/0.51  ;       116 formulas have been input or derived (from 53 formulas).
% 0.20/0.51  ;        62 (53%) were retained.  Of these,
% 0.20/0.51  ;           62 (100%) are still being kept.
% 0.20/0.51  ; 
% 0.20/0.51  ; Run time in seconds excluding printing time:
% 0.20/0.51  ;     0.005  11%   Read assertion file          (1 call)
% 0.20/0.51  ;     0.001   2%   Assert                       (17 calls)
% 0.20/0.51  ;     0.007  16%   Process new row              (107 calls)
% 0.20/0.51  ;     0.006  13%   Resolution                   (104 calls)
% 0.20/0.51  ;     0.000   0%   Paramodulation               (52 calls)
% 0.20/0.51  ;     0.000   0%   Condensing                   (43 calls)
% 0.20/0.51  ;     0.000   0%   Forward subsumption          (43 calls)
% 0.20/0.51  ;     0.001   2%   Backward subsumption         (43 calls)
% 0.20/0.51  ;     0.000   0%   Clause clause subsumption    (3 calls)
% 0.20/0.51  ;     0.001   2%   Forward simplification       (107 calls)
% 0.20/0.51  ;     0.000   0%   Backward simplification      (62 calls)
% 0.20/0.51  ;     0.000   0%   Ordering                     (8 calls)
% 0.20/0.51  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.20/0.51  ;     0.001   2%   Purity testing               (1 call)
% 0.20/0.51  ;     0.023  51%   Other
% 0.20/0.51  ;     0.045        Total
% 0.20/0.51  ;     0.047        Real time
% 0.20/0.51  ; 
% 0.20/0.51  ; Term-hash-array has 92 terms in all.
% 0.20/0.51  ; Feature-vector-row-index has 43 entries (43 at peak, 43 added, 0 deleted).
% 0.20/0.51  ; Feature-vector-row-index has 137 nodes (137 at peak, 137 added, 0 deleted).
% 0.20/0.51  ;  Retrieved 3 possibly forward subsuming rows in 43 calls.
% 0.20/0.51  ;  Retrieved 0 possibly backward subsumed rows in 43 calls.
% 0.20/0.51  ; Path-index has 96 entries (96 at peak, 96 added, 0 deleted).
% 0.20/0.51  ; Path-index has 204 nodes (204 at peak, 204 added, 0 deleted).
% 0.20/0.51  ; Trie-index has 96 entries (96 at peak, 96 added, 0 deleted).
% 0.20/0.51  ; Trie-index has 194 nodes (194 at peak, 194 added, 0 deleted).
% 0.20/0.51  ; Retrieved 45 generalization terms in 83 calls.
% 0.20/0.51  ; Retrieved 18 instance terms in 18 calls.
% 0.20/0.51  ; Retrieved 3,494 unifiable terms in 889 calls.
% 0.20/0.51  ; 
% 0.20/0.51  ; The agenda of rows to process has 1 entry:
% 0.20/0.51  ;     1 with value 6
% 0.20/0.51  ; The agenda of rows to give has 9 entries:
% 0.20/0.51  ;     2 with value (4 5)           1 with value (4 10)           2 with value (4 13)
% 0.20/0.51  ;     1 with value (4 7)           3 with value (4 12)
% 0.20/0.51  Evaluation took:
% 0.20/0.51    0.047 seconds of real time
% 0.20/0.51    0.040968 seconds of user run time
% 0.20/0.51    0.005967 seconds of system run time
% 0.20/0.51    0 calls to %EVAL
% 0.20/0.51    0 page faults and
% 0.20/0.51    2,788,440 bytes consed.
% 0.20/0.51  :PROOF-FOUND
% 0.20/0.51  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-28T18:21:07
% 0.20/0.51  :PROOF-FOUND
% 0.20/0.51  * 
%------------------------------------------------------------------------------