TSTP Solution File: GEO011-3 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : GEO011-3 : TPTP v8.1.0. Bugfixed v1.2.1.
% 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 06:13:04 EDT 2022

% Result   : Unsatisfiable 0.42s 0.59s
% Output   : Refutation 0.42s
% 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(lower_dimension1,axiom,
    ~ between(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO002-0.ax',lower_dimension1) ).

cnf(lower_dimension2,axiom,
    ~ between(lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_1),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO002-0.ax',lower_dimension2) ).

cnf(lower_dimension3,axiom,
    ~ between(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_2),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO002-0.ax',lower_dimension3) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : GEO011-3 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.03/0.13  % Command  : run-snark %s %d
% 0.13/0.34  % Computer : n026.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 : Sat Jun 18 11:29:54 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.20/0.45  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.46  * 
% 0.20/0.46  * 
% 0.20/0.47  #<PACKAGE "SNARK-USER">
% 0.20/0.47  * 
% 0.20/0.47  SNARK-TPTP-OPTIONS
% 0.20/0.47  * 
% 0.20/0.47  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.47   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.47   (USE-FACTORING :POS)
% 0.20/0.47   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.47   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.47   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.47   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.47   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.47   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.47   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.47   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.47   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.47   (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.47  * 
% 0.20/0.47  "."
% 0.20/0.47  * 
% 0.20/0.47  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-18T11:29:54
% 0.20/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n026.cluster.edu at 2022-06-18T11:29:54
% 0.20/0.50  
% 0.20/0.50  ; Recognized relation function assertion (|between| ?X ?Y (|reflection| ?X ?Y)).
% 0.20/0.50  ; Recognized commutativity assertion (OR (NOT (|colinear| ?X ?Y ?Z)) (|colinear| ?Y ?X ?Z)).
% 0.42/0.59  ; Declaring colinear to be commutative.
% 0.42/0.59  
% 0.42/0.59  #||
% 0.42/0.59  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.42/0.59  % SZS output start Refutation
% See solution above
% 0.42/0.59  ||#
% 0.42/0.59  
% 0.42/0.59  ; Summary of computation:
% 0.42/0.59  ;       909 formulas have been input or derived (from 56 formulas).
% 0.42/0.59  ;       251 (28%) were retained.  Of these,
% 0.42/0.59  ;            8 ( 3%) were simplified or subsumed later,
% 0.42/0.59  ;          243 (97%) are still being kept.
% 0.42/0.59  ; 
% 0.42/0.59  ; Run time in seconds:
% 0.42/0.59  ;     0.022  19%   Read assertion file          (1 call)
% 0.42/0.59  ;     0.004   3%   Assert                       (96 calls)
% 0.42/0.59  ;     0.020  17%   Process new row              (776 calls)
% 0.42/0.59  ;     0.016  14%   Resolution                   (110 calls)
% 0.42/0.59  ;     0.002   2%   Paramodulation               (55 calls)
% 0.42/0.59  ;     0.000   0%   Factoring                    (1 call)
% 0.42/0.59  ;     0.004   3%   Condensing                   (86 calls)
% 0.42/0.59  ;     0.001   1%   Forward subsumption          (86 calls)
% 0.42/0.59  ;     0.001   1%   Backward subsumption         (76 calls)
% 0.42/0.59  ;     0.005   4%   Clause clause subsumption    (338 calls)
% 0.42/0.59  ;     0.010   8%   Forward simplification       (776 calls)
% 0.42/0.59  ;     0.004   3%   Backward simplification      (245 calls)
% 0.42/0.59  ;     0.000   0%   Ordering                     (109 calls)
% 0.42/0.59  ;     0.001   1%   Sortal reasoning             (32 calls)
% 0.42/0.59  ;     0.000   0%   Purity testing               (1 call)
% 0.42/0.59  ;     0.028  24%   Other
% 0.42/0.59  ;     0.118        Total
% 0.42/0.59  ;     0.119        Real time
% 0.42/0.59  ; 
% 0.42/0.59  ; Term-hash-array has 378 terms in all.
% 0.42/0.59  ; Feature-vector-row-index has 76 entries (76 at peak, 76 added, 0 deleted).
% 0.42/0.59  ; Feature-vector-row-index has 140 nodes (140 at peak, 140 added, 0 deleted).
% 0.42/0.59  ;  Retrieved 250 possibly forward subsuming rows in 86 calls.
% 0.42/0.59  ;  Retrieved 161 possibly backward subsumed rows in 76 calls.
% 0.42/0.59  ; Path-index has 377 entries (377 at peak, 381 added, 4 deleted).
% 0.42/0.59  ; Path-index has 845 nodes (845 at peak, 852 added, 7 deleted).
% 0.42/0.59  ; Trie-index has 377 entries (377 at peak, 381 added, 4 deleted).
% 0.42/0.59  ; Trie-index has 1,250 nodes (1,250 at peak, 1,263 added, 13 deleted).
% 0.42/0.59  ; Retrieved 2,356 generalization terms in 1,426 calls.
% 0.42/0.59  ; Retrieved 329 instance terms in 168 calls.
% 0.42/0.59  ; Retrieved 18,969 unifiable terms in 804 calls.
% 0.42/0.59  ; 
% 0.42/0.59  ; The agenda of rows to process has 8 entries:
% 0.42/0.59  ;     6 with value 6               2 with value 16
% 0.42/0.59  ; The agenda of input rows to give has 28 entries:
% 0.42/0.59  ;     3 with value 20              1 with value 26               1 with value 35
% 0.42/0.59  ;     3 with value 21              1 with value 27               1 with value 37
% 0.42/0.59  ;     1 with value 23              4 with value 28               2 with value 40
% 0.42/0.59  ;     4 with value 24              1 with value 30               1 with value 44
% 0.42/0.59  ;     3 with value 25              1 with value 34               1 with value 49
% 0.42/0.59  ; The agenda of rows to give has 159 entries:
% 0.42/0.59  ;    13 with value (4 6)           8 with value (4 14)           5 with value (4 23)
% 0.42/0.59  ;    12 with value (4 7)          10 with value (4 15)           3 with value (4 25)
% 0.42/0.59  ;     6 with value (4 8)           6 with value (4 16)           1 with value (4 27)
% 0.42/0.59  ;    14 with value (4 9)           4 with value (4 17)           1 with value (4 28)
% 0.42/0.59  ;    11 with value (4 10)          5 with value (4 18)           1 with value (4 29)
% 0.42/0.59  ;    17 with value (4 11)          9 with value (4 19)           2 with value (4 32)
% 0.42/0.59  ;    18 with value (4 12)          6 with value (4 20)           1 with value (4 36)
% 0.42/0.59  ;     2 with value (4 13)          4 with value (4 21)
% 0.42/0.59  Evaluation took:
% 0.42/0.59    0.119 seconds of real time
% 0.42/0.59    0.10711 seconds of user run time
% 0.42/0.59    0.011436 seconds of system run time
% 0.42/0.59    0 calls to %EVAL
% 0.42/0.59    0 page faults and
% 0.42/0.59    6,096,568 bytes consed.
% 0.42/0.59  :PROOF-FOUND
% 0.42/0.59  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-18T11:29:55
% 0.42/0.59  :PROOF-FOUND
% 0.42/0.59  * 
%------------------------------------------------------------------------------