TSTP Solution File: GEO225+2 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : GEO225+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n022.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 06:15:11 EDT 2022

% Result   : Theorem 0.19s 0.51s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    5
% Syntax   : Number of clauses     :    7 (   4 unt;   1 nHn;   6 RR)
%            Number of literals    :   12 (   0 equ;   6 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   2 con; 0-2 aty)
%            Number of variables   :    8 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(1,axiom,
    ~ distinct_points(X,X),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO008+0.ax',apart1) ).

cnf(7,axiom,
    ( ~ distinct_points(X,Y)
    | ~ apart_point_and_line(Z,line_connecting(X,Y))
    | distinct_points(Z,X) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO008+0.ax',con1) ).

cnf(8,axiom,
    ( ~ distinct_points(X,Y)
    | ~ apart_point_and_line(Z,line_connecting(X,Y))
    | distinct_points(Z,Y) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO008+0.ax',con1) ).

cnf(21,negated_conjecture,
    distinct_points('SKOLEMAAAV1','SKOLEMAAAV2'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).

cnf(23,negated_conjecture,
    ( apart_point_and_line('SKOLEMAAAV1',X)
    | apart_point_and_line('SKOLEMAAAV2',X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).

cnf(29,plain,
    ~ apart_point_and_line('SKOLEMAAAV1',line_connecting('SKOLEMAAAV1','SKOLEMAAAV2')),
    inference('UR-RESOLVE',[status(thm)],[7,21,1]) ).

cnf(31,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[8,21,23]),1,29]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : GEO225+2 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.13  % Command  : run-snark %s %d
% 0.13/0.34  % Computer : n022.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Fri Jun 17 21:09:02 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.19/0.46  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.47  * 
% 0.19/0.47  * 
% 0.19/0.47  #<PACKAGE "SNARK-USER">
% 0.19/0.47  * 
% 0.19/0.47  SNARK-TPTP-OPTIONS
% 0.19/0.47  * 
% 0.19/0.47  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.47   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.47   (USE-FACTORING :POS)
% 0.19/0.47   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.47   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.47   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.47   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.47   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.47   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.47   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.47   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.47   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.47   (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.47  * 
% 0.19/0.47  "."
% 0.19/0.47  * 
% 0.19/0.47  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-17T21:09:02
% 0.19/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n022.cluster.edu at 2022-06-17T21:09:02
% 0.19/0.51  
% 0.19/0.51  
% 0.19/0.51  #||
% 0.19/0.51  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.51  % SZS output start Refutation
% See solution above
% 0.19/0.51  ||#
% 0.19/0.51  
% 0.19/0.51  ; Summary of computation:
% 0.19/0.51  ;        39 formulas have been input or derived (from 18 formulas).
% 0.19/0.51  ;        31 (79%) were retained.  Of these,
% 0.19/0.51  ;            4 (13%) were simplified or subsumed later,
% 0.19/0.51  ;           27 (87%) are still being kept.
% 0.19/0.51  ; 
% 0.19/0.51  ; Run time in seconds excluding printing time:
% 0.19/0.51  ;     0.005  15%   Read assertion file          (1 call)
% 0.19/0.51  ;     0.001   3%   Assert                       (17 calls)
% 0.19/0.51  ;     0.003   9%   Process new row              (39 calls)
% 0.19/0.51  ;     0.000   0%   Resolution                   (34 calls)
% 0.19/0.51  ;     0.000   0%   Paramodulation               (17 calls)
% 0.19/0.51  ;     0.000   0%   Factoring                    (1 call)
% 0.19/0.51  ;     0.000   0%   Condensing                   (20 calls)
% 0.19/0.51  ;     0.000   0%   Forward subsumption          (20 calls)
% 0.19/0.51  ;     0.001   3%   Backward subsumption         (20 calls)
% 0.19/0.51  ;     0.000   0%   Clause clause subsumption    (6 calls)
% 0.19/0.51  ;     0.000   0%   Forward simplification       (39 calls)
% 0.19/0.51  ;     0.000   0%   Backward simplification      (31 calls)
% 0.19/0.51  ;     0.000   0%   Ordering                     (10 calls)
% 0.19/0.51  ;     0.001   3%   Sortal reasoning             (32 calls)
% 0.19/0.51  ;     0.000   0%   Purity testing               (1 call)
% 0.19/0.51  ;     0.023  68%   Other
% 0.19/0.51  ;     0.034        Total
% 0.19/0.51  ;     0.035        Real time
% 0.19/0.51  ; 
% 0.19/0.51  ; Term-hash-array has 50 terms in all.
% 0.19/0.51  ; Feature-vector-row-index has 16 entries (16 at peak, 20 added, 4 deleted).
% 0.19/0.51  ; Feature-vector-row-index has 37 nodes (37 at peak, 50 added, 13 deleted).
% 0.19/0.51  ;  Retrieved 4 possibly forward subsuming rows in 20 calls.
% 0.19/0.51  ;  Retrieved 2 possibly backward subsumed rows in 20 calls.
% 0.19/0.51  ; Path-index has 44 entries (44 at peak, 53 added, 9 deleted).
% 0.19/0.51  ; Path-index has 78 nodes (81 at peak, 91 added, 13 deleted).
% 0.19/0.51  ; Trie-index has 44 entries (44 at peak, 53 added, 9 deleted).
% 0.19/0.51  ; Trie-index has 53 nodes (53 at peak, 72 added, 19 deleted).
% 0.19/0.51  ; Retrieved 44 generalization terms in 49 calls.
% 0.19/0.51  ; Retrieved 12 instance terms in 10 calls.
% 0.19/0.51  ; Retrieved 248 unifiable terms in 72 calls.
% 0.19/0.51  ; 
% 0.19/0.51  ; The agenda of input rows to give has 3 entries:
% 0.19/0.51  ;     2 with value 15              1 with value 24
% 0.19/0.51  ; The agenda of rows to give has 6 entries:
% 0.19/0.51  ;     1 with value (4 5)           1 with value (4 9)            2 with value (4 13)
% 0.19/0.51  ;     2 with value (4 8)
% 0.19/0.51  Evaluation took:
% 0.19/0.51    0.036 seconds of real time
% 0.19/0.51    0.028578 seconds of user run time
% 0.19/0.51    0.0071 seconds of system run time
% 0.19/0.51    0 calls to %EVAL
% 0.19/0.51    0 page faults and
% 0.19/0.51    1,960,528 bytes consed.
% 0.19/0.51  :PROOF-FOUND
% 0.19/0.51  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-17T21:09:02
% 0.19/0.51  :PROOF-FOUND
% 0.19/0.51  * 
%------------------------------------------------------------------------------