TSTP Solution File: GEO011-4 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : GEO011-4 : TPTP v8.1.0. Released v1.0.0.
% 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 : Sat Jul 16 06:13:05 EDT 2022

% Result   : Unsatisfiable 0.19s 0.50s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    1
%            Number of leaves      :    5
% Syntax   : Number of clauses     :    6 (   5 unt;   1 nHn;   6 RR)
%            Number of literals    :    9 (   0 equ;   4 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :    3 (   3 usr;   3 con; 0-0 aty)
%            Number of variables   :    3 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(colinearity4,axiom,
    ( ~ colinear(X,Y,Z)
    | between(X,Y,Z)
    | between(Y,Z,X)
    | between(Z,X,Y) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO002-1.ax',colinearity4) ).

cnf(lower_dimension1,axiom,
    ~ between(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',lower_dimension1) ).

cnf(lower_dimension2,axiom,
    ~ between(lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',lower_dimension2) ).

cnf(lower_dimension3,axiom,
    ~ between(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',lower_dimension3) ).

cnf(prove_lower_dimension_points_not_colinear,negated_conjecture,
    colinear(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_lower_dimension_points_not_colinear) ).

cnf(28,plain,
    $false,
    inference('UR-RESOLVE',[status(thm)],[colinearity4,prove_lower_dimension_points_not_colinear,lower_dimension1,lower_dimension2,lower_dimension3]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : GEO011-4 : TPTP v8.1.0. Released v1.0.0.
% 0.10/0.12  % Command  : run-snark %s %d
% 0.12/0.33  % Computer : n026.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 : Fri Jun 17 15:20:54 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.19/0.44  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.45  * 
% 0.19/0.45  * 
% 0.19/0.46  #<PACKAGE "SNARK-USER">
% 0.19/0.46  * 
% 0.19/0.46  SNARK-TPTP-OPTIONS
% 0.19/0.46  * 
% 0.19/0.46  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.46   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.46   (USE-FACTORING :POS)
% 0.19/0.46   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.46   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.46   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.46   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.46   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.46   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.46   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.46   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.46   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.46   (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.46  * 
% 0.19/0.46  "."
% 0.19/0.46  * 
% 0.19/0.46  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-17T15:20:54
% 0.19/0.46  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n026.cluster.edu at 2022-06-17T15:20:54
% 0.19/0.50  
% 0.19/0.50  
% 0.19/0.50  #||
% 0.19/0.50  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.50  % SZS output start Refutation
% See solution above
% 0.19/0.50  ||#
% 0.19/0.50  
% 0.19/0.50  ; Summary of computation:
% 0.19/0.50  ;        41 formulas have been input or derived (from 14 formulas).
% 0.19/0.50  ;        28 (68%) were retained.  Of these,
% 0.19/0.50  ;           28 (100%) are still being kept.
% 0.19/0.50  ; 
% 0.19/0.50  ; Run time in seconds excluding printing time:
% 0.19/0.50  ;     0.007  19%   Read assertion file          (1 call)
% 0.19/0.50  ;     0.001   3%   Assert                       (23 calls)
% 0.19/0.50  ;     0.004  11%   Process new row              (32 calls)
% 0.19/0.50  ;     0.000   0%   Resolution                   (26 calls)
% 0.19/0.50  ;     0.000   0%   Paramodulation               (13 calls)
% 0.19/0.50  ;     0.000   0%   Condensing                   (16 calls)
% 0.19/0.50  ;     0.000   0%   Forward subsumption          (16 calls)
% 0.19/0.50  ;     0.000   0%   Backward subsumption         (16 calls)
% 0.19/0.50  ;     0.000   0%   Clause clause subsumption    (18 calls)
% 0.19/0.50  ;     0.001   3%   Forward simplification       (32 calls)
% 0.19/0.50  ;     0.000   0%   Backward simplification      (28 calls)
% 0.19/0.50  ;     0.000   0%   Ordering                     (3 calls)
% 0.19/0.50  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.19/0.50  ;     0.000   0%   Purity testing               (1 call)
% 0.19/0.50  ;     0.023  64%   Other
% 0.19/0.50  ;     0.036        Total
% 0.19/0.50  ;     0.038        Real time
% 0.19/0.50  ; 
% 0.19/0.50  ; Term-hash-array has 78 terms in all.
% 0.19/0.50  ; Feature-vector-row-index has 16 entries (16 at peak, 16 added, 0 deleted).
% 0.19/0.50  ; Feature-vector-row-index has 50 nodes (50 at peak, 50 added, 0 deleted).
% 0.19/0.50  ;  Retrieved 13 possibly forward subsuming rows in 16 calls.
% 0.19/0.50  ;  Retrieved 5 possibly backward subsumed rows in 16 calls.
% 0.19/0.50  ; Path-index has 81 entries (81 at peak, 81 added, 0 deleted).
% 0.19/0.50  ; Path-index has 251 nodes (251 at peak, 251 added, 0 deleted).
% 0.19/0.50  ; Trie-index has 81 entries (81 at peak, 81 added, 0 deleted).
% 0.19/0.50  ; Trie-index has 162 nodes (162 at peak, 162 added, 0 deleted).
% 0.19/0.50  ; Retrieved 21 generalization terms in 53 calls.
% 0.19/0.50  ; Retrieved 13 instance terms in 11 calls.
% 0.19/0.50  ; Retrieved 394 unifiable terms in 76 calls.
% 0.19/0.50  ; 
% 0.19/0.50  ; The agenda of rows to process has 7 entries:
% 0.19/0.50  ;     6 with value 6               1 with value 16
% 0.19/0.50  ; The agenda of input rows to give has 10 entries:
% 0.19/0.50  ;     2 with value 21              1 with value 30               1 with value 46
% 0.19/0.50  ;     2 with value 25              1 with value 40               1 with value 59
% 0.19/0.50  ;     1 with value 27              1 with value 44
% 0.19/0.50  ; The agenda of rows to give has 4 entries:
% 0.19/0.50  ;     1 with value (4 10)          3 with value (4 11)
% 0.19/0.50  Evaluation took:
% 0.19/0.50    0.038 seconds of real time
% 0.19/0.50    0.031812 seconds of user run time
% 0.19/0.50    0.005988 seconds of system run time
% 0.19/0.50    0 calls to %EVAL
% 0.19/0.50    0 page faults and
% 0.19/0.50    1,969,488 bytes consed.
% 0.19/0.50  :PROOF-FOUND
% 0.19/0.50  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-17T15:20:54
% 0.19/0.50  :PROOF-FOUND
% 0.19/0.50  * 
%------------------------------------------------------------------------------