TSTP Solution File: LAT381+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : LAT381+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n015.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 0.50s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :   10
% Syntax   : Number of clauses     :   19 (  14 unt;   0 nHn;  19 RR)
%            Number of literals    :   35 (   2 equ;  17 neg)
%            Maximal clause size   :    5 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    9 (   7 usr;   1 prp; 0-3 aty)
%            Number of functors    :    4 (   4 usr;   4 con; 0-0 aty)
%            Number of variables   :   14 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(1,axiom,
    ( ~ aSet0(X)
    | ~ aElementOf0(Y,X)
    | aElement0(Y) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mEOfElem) ).

cnf(9,axiom,
    ( ~ aElement0(X)
    | ~ aElement0(Y)
    | ~ sdtlseqdt0(X,Y)
    | ~ sdtlseqdt0(Y,X)
    | X = Y ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mASymm) ).

cnf(24,axiom,
    ( ~ aSet0(X)
    | ~ aSubsetOf0(Y,X)
    | ~ aSupremumOfIn0(Z,Y,X)
    | aElementOf0(Z,X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefSup) ).

cnf(25,axiom,
    ( ~ aSet0(X)
    | ~ aSubsetOf0(Y,X)
    | ~ aSupremumOfIn0(Z,Y,X)
    | aUpperBoundOfIn0(Z,Y,X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefSup) ).

cnf(26,axiom,
    ( ~ aSet0(X)
    | ~ aSubsetOf0(Y,X)
    | ~ aSupremumOfIn0(Z,Y,X)
    | ~ aUpperBoundOfIn0(U,Y,X)
    | sdtlseqdt0(Z,U) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefSup) ).

cnf(29,hypothesis,
    aSet0(xT),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__725) ).

cnf(30,hypothesis,
    aSubsetOf0(xS,xT),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__725_01) ).

cnf(31,hypothesis,
    aSupremumOfIn0(xu,xS,xT),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__744) ).

cnf(32,hypothesis,
    aSupremumOfIn0(xv,xS,xT),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__744) ).

cnf(33,negated_conjecture,
    xu != xv,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).

cnf(36,plain,
    aElementOf0(xu,xT),
    inference('HYPERRESOLVE',[status(thm)],[24,29,30,31]) ).

cnf(37,plain,
    aElementOf0(xv,xT),
    inference('HYPERRESOLVE',[status(thm)],[24,29,30,32]) ).

cnf(39,plain,
    aUpperBoundOfIn0(xu,xS,xT),
    inference('HYPERRESOLVE',[status(thm)],[25,29,30,31]) ).

cnf(40,plain,
    aUpperBoundOfIn0(xv,xS,xT),
    inference('HYPERRESOLVE',[status(thm)],[25,29,30,32]) ).

cnf(44,plain,
    aElement0(xu),
    inference('HYPERRESOLVE',[status(thm)],[1,36,29]) ).

cnf(48,plain,
    aElement0(xv),
    inference('HYPERRESOLVE',[status(thm)],[1,37,29]) ).

cnf(52,plain,
    sdtlseqdt0(xv,xu),
    inference('HYPERRESOLVE',[status(thm)],[26,39,29,30,32]) ).

cnf(53,plain,
    sdtlseqdt0(xu,xv),
    inference('HYPERRESOLVE',[status(thm)],[26,40,29,30,31]) ).

cnf(54,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[9,52,48,44,33]),53]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11  % Problem  : LAT381+1 : TPTP v8.1.0. Released v4.0.0.
% 0.10/0.12  % Command  : run-snark %s %d
% 0.13/0.33  % Computer : n015.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 600
% 0.13/0.33  % DateTime : Wed Jun 29 20:07:11 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 0.20/0.44  /export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p 2022-06-29T20:07:11
% 0.20/0.46  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n015.cluster.edu at 2022-06-29T20:07:11
% 0.20/0.50  
% 0.20/0.50  
% 0.20/0.50  #||
% 0.20/0.50  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.50  % SZS output start Refutation
% See solution above
% 0.20/0.50  ||#
% 0.20/0.50  
% 0.20/0.50  ; Summary of computation:
% 0.20/0.50  ;        82 formulas have been input or derived (from 43 formulas).
% 0.20/0.50  ;        54 (66%) were retained.  Of these,
% 0.20/0.50  ;            1 ( 2%) were simplified or subsumed later,
% 0.20/0.50  ;           53 (98%) are still being kept.
% 0.20/0.50  ; 
% 0.20/0.50  ; Run time in seconds excluding printing time:
% 0.20/0.50  ;     0.005  12%   Read assertion file          (1 call)
% 0.20/0.50  ;     0.001   2%   Assert                       (17 calls)
% 0.20/0.50  ;     0.005  12%   Process new row              (78 calls)
% 0.20/0.50  ;     0.007  17%   Resolution                   (84 calls)
% 0.20/0.50  ;     0.000   0%   Paramodulation               (42 calls)
% 0.20/0.50  ;     0.000   0%   Condensing                   (36 calls)
% 0.20/0.50  ;     0.000   0%   Forward subsumption          (36 calls)
% 0.20/0.50  ;     0.000   0%   Backward subsumption         (35 calls)
% 0.20/0.50  ;     0.000   0%   Clause clause subsumption    (4 calls)
% 0.20/0.50  ;     0.000   0%   Forward simplification       (78 calls)
% 0.20/0.50  ;     0.000   0%   Backward simplification      (54 calls)
% 0.20/0.50  ;     0.000   0%   Ordering                     (10 calls)
% 0.20/0.50  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.20/0.50  ;     0.001   2%   Purity testing               (1 call)
% 0.20/0.50  ;     0.022  54%   Other
% 0.20/0.50  ;     0.041        Total
% 0.20/0.50  ;     0.043        Real time
% 0.20/0.50  ; 
% 0.20/0.50  ; Term-hash-array has 79 terms in all.
% 0.20/0.50  ; Feature-vector-row-index has 34 entries (34 at peak, 35 added, 1 deleted).
% 0.20/0.50  ; Feature-vector-row-index has 108 nodes (108 at peak, 112 added, 4 deleted).
% 0.20/0.50  ;  Retrieved 4 possibly forward subsuming rows in 36 calls.
% 0.20/0.50  ;  Retrieved 0 possibly backward subsumed rows in 35 calls.
% 0.20/0.50  ; Path-index has 83 entries (83 at peak, 85 added, 2 deleted).
% 0.20/0.50  ; Path-index has 192 nodes (192 at peak, 194 added, 2 deleted).
% 0.20/0.50  ; Trie-index has 83 entries (83 at peak, 85 added, 2 deleted).
% 0.20/0.50  ; Trie-index has 170 nodes (170 at peak, 173 added, 3 deleted).
% 0.20/0.50  ; Retrieved 24 generalization terms in 49 calls.
% 0.20/0.50  ; Retrieved 18 instance terms in 18 calls.
% 0.20/0.50  ; Retrieved 2,700 unifiable terms in 996 calls.
% 0.20/0.50  ; 
% 0.20/0.50  ; The agenda of rows to give has 10 entries:
% 0.20/0.50  ;     1 with value (4 6)           1 with value (4 11)           2 with value (4 13)
% 0.20/0.50  ;     3 with value (4 7)           1 with value (4 12)           2 with value (4 14)
% 0.20/0.50  Evaluation took:
% 0.20/0.50    0.044 seconds of real time
% 0.20/0.50    0.037258 seconds of user run time
% 0.20/0.50    0.006215 seconds of system run time
% 0.20/0.50    0 calls to %EVAL
% 0.20/0.50    0 page faults and
% 0.20/0.50    3,050,112 bytes consed.
% 0.20/0.50  :PROOF-FOUND
% 0.20/0.50  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-29T20:07:11
% 0.20/0.50  :PROOF-FOUND
% 0.20/0.50  * 
%------------------------------------------------------------------------------