TSTP Solution File: GEO064-3 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : GEO064-3 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n017.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 06:13:35 EDT 2022

% Result   : Unsatisfiable 0.20s 0.53s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    4
% Syntax   : Number of clauses     :    6 (   4 unt;   0 nHn;   6 RR)
%            Number of literals    :    8 (   0 equ;   4 neg)
%            Maximal clause size   :    2 (   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   :    6 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(colinearity1,axiom,
    ( ~ between(X,Y,Z)
    | colinear(X,Y,Z) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-1.ax',colinearity1) ).

cnf(t1,axiom,
    ( ~ between(X,Y,Z)
    | between(Z,Y,X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1) ).

cnf(v_between_w_and_u,hypothesis,
    between(w,v,u),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',v_between_w_and_u) ).

cnf(prove_uvw_colinear,negated_conjecture,
    ~ colinear(u,v,w),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_uvw_colinear) ).

cnf(111,plain,
    ~ between(u,v,w),
    inference('UR-RESOLVE',[status(thm)],[colinearity1,prove_uvw_colinear]) ).

cnf(125,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[t1,v_between_w_and_u]),111]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11  % Problem  : GEO064-3 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.07/0.12  % Command  : run-snark %s %d
% 0.14/0.33  % Computer : n017.cluster.edu
% 0.14/0.33  % Model    : x86_64 x86_64
% 0.14/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33  % Memory   : 8042.1875MB
% 0.14/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33  % CPULimit : 300
% 0.14/0.33  % WCLimit  : 600
% 0.14/0.33  % DateTime : Sat Jun 18 02:25:12 EDT 2022
% 0.14/0.33  % CPUTime  : 
% 0.20/0.44  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.45  * 
% 0.20/0.45  * 
% 0.20/0.46  #<PACKAGE "SNARK-USER">
% 0.20/0.46  * 
% 0.20/0.46  SNARK-TPTP-OPTIONS
% 0.20/0.46  * 
% 0.20/0.46  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.46   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.46   (USE-FACTORING :POS)
% 0.20/0.46   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.46   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.46   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.46   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.46   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.46   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.46   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.46   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.46   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.46   (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.46  * 
% 0.20/0.46  "."
% 0.20/0.46  * 
% 0.20/0.46  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-18T02:25:12
% 0.20/0.46  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n017.cluster.edu at 2022-06-18T02:25:12
% 0.20/0.49  
% 0.20/0.53  ; Recognized relation function assertion (|between| ?X ?Y (|reflection| ?X ?Y)).
% 0.20/0.53  
% 0.20/0.53  #||
% 0.20/0.53  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.53  % SZS output start Refutation
% See solution above
% 0.20/0.53  ||#
% 0.20/0.53  
% 0.20/0.53  ; Summary of computation:
% 0.20/0.53  ;       179 formulas have been input or derived (from 27 formulas).
% 0.20/0.53  ;       125 (70%) were retained.  Of these,
% 0.20/0.53  ;            7 ( 6%) were simplified or subsumed later,
% 0.20/0.53  ;          118 (94%) are still being kept.
% 0.20/0.53  ; 
% 0.20/0.53  ; Run time in seconds:
% 0.20/0.53  ;     0.021  28%   Read assertion file          (1 call)
% 0.20/0.53  ;     0.004   5%   Assert                       (89 calls)
% 0.20/0.53  ;     0.007   9%   Process new row              (150 calls)
% 0.20/0.53  ;     0.004   5%   Resolution                   (52 calls)
% 0.20/0.53  ;     0.000   0%   Paramodulation               (26 calls)
% 0.20/0.53  ;     0.003   4%   Condensing                   (61 calls)
% 0.20/0.53  ;     0.001   1%   Forward subsumption          (61 calls)
% 0.20/0.54  ;     0.002   3%   Backward subsumption         (59 calls)
% 0.20/0.54  ;     0.006   8%   Clause clause subsumption    (304 calls)
% 0.20/0.54  ;     0.005   7%   Forward simplification       (150 calls)
% 0.20/0.54  ;     0.002   3%   Backward simplification      (119 calls)
% 0.20/0.54  ;     0.000   0%   Ordering                     (28 calls)
% 0.20/0.54  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.20/0.54  ;     0.000   0%   Purity testing               (1 call)
% 0.20/0.54  ;     0.021  28%   Other
% 0.20/0.54  ;     0.076        Total
% 0.20/0.54  ;     0.076        Real time
% 0.20/0.54  ; 
% 0.20/0.54  ; Term-hash-array has 175 terms in all.
% 0.20/0.54  ; Feature-vector-row-index has 59 entries (59 at peak, 59 added, 0 deleted).
% 0.20/0.54  ; Feature-vector-row-index has 99 nodes (99 at peak, 99 added, 0 deleted).
% 0.20/0.54  ;  Retrieved 194 possibly forward subsuming rows in 61 calls.
% 0.20/0.54  ;  Retrieved 135 possibly backward subsumed rows in 59 calls.
% 0.20/0.54  ; Path-index has 179 entries (179 at peak, 181 added, 2 deleted).
% 0.20/0.54  ; Path-index has 449 nodes (449 at peak, 452 added, 3 deleted).
% 0.20/0.54  ; Trie-index has 179 entries (179 at peak, 181 added, 2 deleted).
% 0.20/0.54  ; Trie-index has 399 nodes (399 at peak, 404 added, 5 deleted).
% 0.20/0.54  ; Retrieved 483 generalization terms in 303 calls.
% 0.20/0.54  ; Retrieved 181 instance terms in 59 calls.
% 0.20/0.54  ; Retrieved 1,589 unifiable terms in 137 calls.
% 0.20/0.54  ; 
% 0.20/0.54  ; The agenda of rows to process has 10 entries:
% 0.20/0.54  ;     8 with value 6               1 with value 9                1 with value 11
% 0.20/0.54  ; The agenda of input rows to give has 58 entries:
% 0.20/0.54  ;     4 with value 11              3 with value 21               1 with value 30
% 0.20/0.54  ;     7 with value 12              1 with value 23               1 with value 34
% 0.20/0.54  ;     4 with value 14              4 with value 24               1 with value 35
% 0.20/0.54  ;     6 with value 15              3 with value 25               1 with value 37
% 0.20/0.54  ;     1 with value 16              1 with value 26               2 with value 40
% 0.20/0.54  ;     4 with value 18              1 with value 27               1 with value 44
% 0.20/0.54  ;     3 with value 19              4 with value 28               1 with value 49
% 0.20/0.54  ;     4 with value 20
% 0.20/0.54  ; The agenda of rows to give has 33 entries:
% 0.20/0.54  ;    15 with value (4 6)           1 with value (4 10)           2 with value (4 12)
% 0.20/0.54  ;     6 with value (4 7)           4 with value (4 11)           1 with value (4 15)
% 0.20/0.54  ;     4 with value (4 9)
% 0.20/0.54  Evaluation took:
% 0.20/0.54    0.077 seconds of real time
% 0.20/0.54    0.064794 seconds of user run time
% 0.20/0.54    0.012041 seconds of system run time
% 0.20/0.54    0 calls to %EVAL
% 0.20/0.54    0 page faults and
% 0.20/0.54    4,065,296 bytes consed.
% 0.20/0.54  :PROOF-FOUND
% 0.20/0.54  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-18T02:25:12
% 0.20/0.54  :PROOF-FOUND
% 0.20/0.54  * 
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