TSTP Solution File: LAT382+3 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : LAT382+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n026.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 06:45:00 EDT 2022

% Result   : Theorem 0.22s 0.55s
% Output   : Refutation 0.22s
% 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/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(30,hypothesis,
    aSet0(xT),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__773) ).

cnf(34,hypothesis,
    aElementOf0(xu,xT),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__792) ).

cnf(36,hypothesis,
    aLowerBoundOfIn0(xu,xS,xT),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__792) ).

cnf(39,hypothesis,
    ( ~ aLowerBoundOfIn0(X,xS,xT)
    | sdtlseqdt0(X,xu) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__792) ).

cnf(41,hypothesis,
    aElementOf0(xv,xT),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__792) ).

cnf(43,hypothesis,
    aLowerBoundOfIn0(xv,xS,xT),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__792) ).

cnf(46,hypothesis,
    ( ~ aLowerBoundOfIn0(X,xS,xT)
    | sdtlseqdt0(X,xv) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__792) ).

cnf(48,negated_conjecture,
    xu != xv,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).

cnf(50,plain,
    sdtlseqdt0(xv,xu),
    inference('HYPERRESOLVE',[status(thm)],[39,43]) ).

cnf(51,plain,
    sdtlseqdt0(xu,xv),
    inference('HYPERRESOLVE',[status(thm)],[46,36]) ).

cnf(53,plain,
    aElement0(xu),
    inference('HYPERRESOLVE',[status(thm)],[1,30,34]) ).

cnf(54,plain,
    aElement0(xv),
    inference('HYPERRESOLVE',[status(thm)],[1,30,41]) ).

cnf(63,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[9,50,54,53,48]),51]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem  : LAT382+3 : TPTP v8.1.0. Released v4.0.0.
% 0.08/0.14  % Command  : run-snark %s %d
% 0.15/0.35  % Computer : n026.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit : 300
% 0.15/0.35  % WCLimit  : 600
% 0.15/0.35  % DateTime : Wed Jun 29 12:24:33 EDT 2022
% 0.15/0.36  % CPUTime  : 
% 0.22/0.48  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.22/0.49  * 
% 0.22/0.49  * 
% 0.22/0.50  #<PACKAGE "SNARK-USER">
% 0.22/0.50  * 
% 0.22/0.50  SNARK-TPTP-OPTIONS
% 0.22/0.50  * 
% 0.22/0.50  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.22/0.50   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.22/0.50   (USE-FACTORING :POS)
% 0.22/0.50   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.22/0.50   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.22/0.50   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.22/0.50   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.22/0.50   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.22/0.50   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.22/0.50   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.22/0.50   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.22/0.50   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.22/0.50   (DECLARE-TPTP-SYMBOLS2))
% 0.22/0.50  * 
% 0.22/0.50  "."
% 0.22/0.50  * 
% 0.22/0.50  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-29T12:24:33
% 0.22/0.50  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n026.cluster.edu at 2022-06-29T12:24:33
% 0.22/0.55  
% 0.22/0.55  
% 0.22/0.55  #||
% 0.22/0.55  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.22/0.55  % SZS output start Refutation
% See solution above
% 0.22/0.55  ||#
% 0.22/0.55  
% 0.22/0.55  ; Summary of computation:
% 0.22/0.55  ;       117 formulas have been input or derived (from 54 formulas).
% 0.22/0.55  ;        63 (54%) were retained.  Of these,
% 0.22/0.55  ;           63 (100%) are still being kept.
% 0.22/0.55  ; 
% 0.22/0.55  ; Run time in seconds excluding printing time:
% 0.22/0.55  ;     0.007  15%   Read assertion file          (1 call)
% 0.22/0.55  ;     0.002   4%   Assert                       (18 calls)
% 0.22/0.55  ;     0.009  19%   Process new row              (108 calls)
% 0.22/0.55  ;     0.005  10%   Resolution                   (106 calls)
% 0.22/0.55  ;     0.000   0%   Paramodulation               (53 calls)
% 0.22/0.55  ;     0.000   0%   Condensing                   (44 calls)
% 0.22/0.55  ;     0.000   0%   Forward subsumption          (44 calls)
% 0.22/0.55  ;     0.000   0%   Backward subsumption         (44 calls)
% 0.22/0.55  ;     0.000   0%   Clause clause subsumption    (3 calls)
% 0.22/0.55  ;     0.001   2%   Forward simplification       (108 calls)
% 0.22/0.55  ;     0.000   0%   Backward simplification      (63 calls)
% 0.22/0.55  ;     0.001   2%   Ordering                     (9 calls)
% 0.22/0.55  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.22/0.55  ;     0.000   0%   Purity testing               (1 call)
% 0.22/0.55  ;     0.023  48%   Other
% 0.22/0.55  ;     0.048        Total
% 0.22/0.55  ;     0.050        Real time
% 0.22/0.55  ; 
% 0.22/0.55  ; Term-hash-array has 94 terms in all.
% 0.22/0.55  ; Feature-vector-row-index has 44 entries (44 at peak, 44 added, 0 deleted).
% 0.22/0.55  ; Feature-vector-row-index has 139 nodes (139 at peak, 139 added, 0 deleted).
% 0.22/0.55  ;  Retrieved 3 possibly forward subsuming rows in 44 calls.
% 0.22/0.55  ;  Retrieved 0 possibly backward subsumed rows in 44 calls.
% 0.22/0.55  ; Path-index has 98 entries (98 at peak, 98 added, 0 deleted).
% 0.22/0.55  ; Path-index has 204 nodes (204 at peak, 204 added, 0 deleted).
% 0.22/0.55  ; Trie-index has 98 entries (98 at peak, 98 added, 0 deleted).
% 0.22/0.55  ; Trie-index has 192 nodes (192 at peak, 192 added, 0 deleted).
% 0.22/0.55  ; Retrieved 45 generalization terms in 83 calls.
% 0.22/0.55  ; Retrieved 18 instance terms in 18 calls.
% 0.22/0.55  ; Retrieved 3,535 unifiable terms in 903 calls.
% 0.22/0.55  ; 
% 0.22/0.55  ; The agenda of rows to give has 9 entries:
% 0.22/0.55  ;     2 with value (4 5)           1 with value (4 10)           2 with value (4 13)
% 0.22/0.55  ;     1 with value (4 7)           3 with value (4 12)
% 0.22/0.55  Evaluation took:
% 0.22/0.55    0.05 seconds of real time
% 0.22/0.55    0.042123 seconds of user run time
% 0.22/0.55    0.007762 seconds of system run time
% 0.22/0.55    0 calls to %EVAL
% 0.22/0.55    0 page faults and
% 0.22/0.55    2,816,824 bytes consed.
% 0.22/0.55  :PROOF-FOUND
% 0.22/0.55  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-29T12:24:33
% 0.22/0.55  :PROOF-FOUND
% 0.22/0.55  * 
%------------------------------------------------------------------------------