TSTP Solution File: GEO185+2 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : GEO185+2 : TPTP v8.1.0. Released v3.3.0.
% 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 : Sat Jul 16 06:14:38 EDT 2022

% Result   : Theorem 0.18s 0.49s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    5
% Syntax   : Number of clauses     :    8 (   5 unt;   1 nHn;   8 RR)
%            Number of literals    :   13 (   0 equ;   6 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   3 con; 0-2 aty)
%            Number of variables   :    6 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(9,axiom,
    ( ~ convergent_lines(X,Y)
    | ~ apart_point_and_line(Z,X)
    | distinct_points(Z,intersection_point(X,Y)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO008+0.ax',con2) ).

cnf(10,axiom,
    ( ~ convergent_lines(X,Y)
    | ~ apart_point_and_line(Z,Y)
    | distinct_points(Z,intersection_point(X,Y)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO008+0.ax',con2) ).

cnf(16,negated_conjecture,
    convergent_lines('SKOLEMAAAU3','SKOLEMAAAU4'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).

cnf(17,negated_conjecture,
    ~ distinct_points('SKOLEMAAAU1',intersection_point('SKOLEMAAAU3','SKOLEMAAAU4')),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).

cnf(18,negated_conjecture,
    ( apart_point_and_line('SKOLEMAAAU1','SKOLEMAAAU3')
    | apart_point_and_line('SKOLEMAAAU1','SKOLEMAAAU4') ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).

cnf(30,plain,
    ~ apart_point_and_line('SKOLEMAAAU1','SKOLEMAAAU3'),
    inference('UR-RESOLVE',[status(thm)],[9,16,17]) ).

cnf(31,plain,
    apart_point_and_line('SKOLEMAAAU1','SKOLEMAAAU4'),
    inference('REWRITE',[status(thm)],[18,30]) ).

cnf(36,plain,
    $false,
    inference('UR-RESOLVE',[status(thm)],[10,16,31,17]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11  % Problem  : GEO185+2 : TPTP v8.1.0. Released v3.3.0.
% 0.10/0.12  % Command  : run-snark %s %d
% 0.12/0.33  % Computer : n023.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Sat Jun 18 18:30:04 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.44  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.45  * 
% 0.18/0.45  * 
% 0.18/0.45  #<PACKAGE "SNARK-USER">
% 0.18/0.45  * 
% 0.18/0.45  SNARK-TPTP-OPTIONS
% 0.18/0.45  * 
% 0.18/0.45  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.18/0.45   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.18/0.45   (USE-FACTORING :POS)
% 0.18/0.45   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.18/0.45   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.18/0.45   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.18/0.45   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.18/0.45   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.18/0.45   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.18/0.45   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.18/0.45   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.18/0.45   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.18/0.45   (DECLARE-TPTP-SYMBOLS2))
% 0.18/0.45  * 
% 0.18/0.45  "."
% 0.18/0.45  * 
% 0.18/0.45  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-18T18:30:04
% 0.18/0.45  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n023.cluster.edu at 2022-06-18T18:30:04
% 0.18/0.49  
% 0.18/0.49  
% 0.18/0.49  #||
% 0.18/0.49  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.49  % SZS output start Refutation
% See solution above
% 0.18/0.49  ||#
% 0.18/0.49  
% 0.18/0.49  ; Summary of computation:
% 0.18/0.49  ;        54 formulas have been input or derived (from 19 formulas).
% 0.18/0.49  ;        36 (67%) were retained.  Of these,
% 0.18/0.49  ;            3 ( 8%) were simplified or subsumed later,
% 0.18/0.49  ;           33 (92%) are still being kept.
% 0.18/0.49  ; 
% 0.18/0.49  ; Run time in seconds:
% 0.18/0.49  ;     0.004  12%   Read assertion file          (1 call)
% 0.18/0.49  ;     0.001   3%   Assert                       (13 calls)
% 0.18/0.49  ;     0.002   6%   Process new row              (48 calls)
% 0.18/0.49  ;     0.001   3%   Resolution                   (36 calls)
% 0.18/0.49  ;     0.000   0%   Paramodulation               (18 calls)
% 0.18/0.49  ;     0.000   0%   Factoring                    (1 call)
% 0.18/0.49  ;     0.002   6%   Condensing                   (20 calls)
% 0.18/0.49  ;     0.001   3%   Forward subsumption          (20 calls)
% 0.18/0.49  ;     0.000   0%   Backward subsumption         (18 calls)
% 0.18/0.49  ;     0.000   0%   Clause clause subsumption    (6 calls)
% 0.18/0.49  ;     0.001   3%   Forward simplification       (48 calls)
% 0.18/0.49  ;     0.000   0%   Backward simplification      (36 calls)
% 0.18/0.49  ;     0.000   0%   Ordering                     (14 calls)
% 0.18/0.49  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.18/0.49  ;     0.000   0%   Purity testing               (1 call)
% 0.18/0.49  ;     0.022  65%   Other
% 0.18/0.49  ;     0.034        Total
% 0.18/0.49  ;     0.034        Real time
% 0.18/0.49  ; 
% 0.18/0.49  ; Term-hash-array has 49 terms in all.
% 0.18/0.49  ; Feature-vector-row-index has 15 entries (16 at peak, 18 added, 3 deleted).
% 0.18/0.49  ; Feature-vector-row-index has 31 nodes (46 at peak, 50 added, 19 deleted).
% 0.18/0.49  ;  Retrieved 4 possibly forward subsuming rows in 20 calls.
% 0.18/0.49  ;  Retrieved 2 possibly backward subsumed rows in 18 calls.
% 0.18/0.49  ; Path-index has 53 entries (53 at peak, 57 added, 4 deleted).
% 0.18/0.49  ; Path-index has 78 nodes (78 at peak, 80 added, 2 deleted).
% 0.18/0.49  ; Trie-index has 53 entries (53 at peak, 57 added, 4 deleted).
% 0.18/0.49  ; Trie-index has 76 nodes (76 at peak, 81 added, 5 deleted).
% 0.18/0.49  ; Retrieved 51 generalization terms in 60 calls.
% 0.18/0.49  ; Retrieved 17 instance terms in 17 calls.
% 0.18/0.49  ; Retrieved 404 unifiable terms in 107 calls.
% 0.18/0.49  ; 
% 0.18/0.49  ; The agenda of rows to process has 5 entries:
% 0.18/0.49  ;     2 with value 5               3 with value 8
% 0.18/0.49  ; The agenda of input rows to give has 1 entry:
% 0.18/0.49  ;     1 with value 24
% 0.18/0.49  ; The agenda of rows to give has 14 entries:
% 0.18/0.49  ;     4 with value (4 5)           6 with value (4 8)            4 with value (4 9)
% 0.18/0.49  Evaluation took:
% 0.18/0.49    0.034 seconds of real time
% 0.18/0.49    0.026981 seconds of user run time
% 0.18/0.49    0.00711 seconds of system run time
% 0.18/0.49    0 calls to %EVAL
% 0.18/0.49    0 page faults and
% 0.18/0.49    1,985,416 bytes consed.
% 0.18/0.49  :PROOF-FOUND
% 0.18/0.49  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-18T18:30:04
% 0.18/0.49  :PROOF-FOUND
% 0.18/0.49  * 
%------------------------------------------------------------------------------