TSTP Solution File: GEO014-2 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : GEO014-2 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n032.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 06:13:07 EDT 2022

% Result   : Unsatisfiable 0.13s 0.39s
% Output   : Refutation 0.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    1
%            Number of leaves      :    3
% Syntax   : Number of clauses     :    4 (   3 unt;   0 nHn;   3 RR)
%            Number of literals    :    6 (   0 equ;   3 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-4 aty)
%            Number of functors    :    2 (   2 usr;   2 con; 0-0 aty)
%            Number of variables   :    8 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(reflexivity_for_equidistance,axiom,
    equidistant(X,Y,Y,X),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-0.ax',reflexivity_for_equidistance) ).

cnf(transitivity_for_equidistance,axiom,
    ( ~ equidistant(X,Y,Z,U)
    | ~ equidistant(X,Y,V,W)
    | equidistant(Z,U,V,W) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-0.ax',transitivity_for_equidistance) ).

cnf(prove_reflexivity,negated_conjecture,
    ~ equidistant(u,v,u,v),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_reflexivity) ).

cnf(21,plain,
    $false,
    inference('UR-RESOLVE',[status(thm)],[transitivity_for_equidistance,reflexivity_for_equidistance,reflexivity_for_equidistance,prove_reflexivity]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.09  % Problem  : GEO014-2 : TPTP v8.1.0. Released v1.0.0.
% 0.02/0.09  % Command  : run-snark %s %d
% 0.10/0.28  % Computer : n032.cluster.edu
% 0.10/0.28  % Model    : x86_64 x86_64
% 0.10/0.28  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.28  % Memory   : 8042.1875MB
% 0.10/0.28  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.28  % CPULimit : 300
% 0.10/0.28  % WCLimit  : 600
% 0.10/0.28  % DateTime : Sat Jun 18 09:18:16 EDT 2022
% 0.10/0.28  % CPUTime  : 
% 0.13/0.36  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.37  * 
% 0.13/0.37  * 
% 0.13/0.37  #<PACKAGE "SNARK-USER">
% 0.13/0.37  * 
% 0.13/0.37  SNARK-TPTP-OPTIONS
% 0.13/0.37  * 
% 0.13/0.37  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.13/0.37   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.13/0.37   (USE-FACTORING :POS)
% 0.13/0.37   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.13/0.37   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.13/0.37   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.13/0.37   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.13/0.37   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.13/0.37   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.13/0.37   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.13/0.37   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.13/0.37   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.13/0.37   (DECLARE-TPTP-SYMBOLS2))
% 0.13/0.37  * 
% 0.13/0.37  "."
% 0.13/0.37  * 
% 0.13/0.37  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-18T09:18:17
% 0.13/0.37  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n032.cluster.edu at 2022-06-18T09:18:17
% 0.13/0.39  
% 0.13/0.39  
% 0.13/0.39  #||
% 0.13/0.39  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.39  % SZS output start Refutation
% See solution above
% 0.13/0.39  ||#
% 0.13/0.39  
% 0.13/0.39  ; Summary of computation:
% 0.13/0.39  ;        38 formulas have been input or derived (from 11 formulas).
% 0.13/0.39  ;        21 (55%) were retained.  Of these,
% 0.13/0.39  ;           21 (100%) are still being kept.
% 0.13/0.39  ; 
% 0.13/0.39  ; Run time in seconds:
% 0.13/0.39  ;     0.004  20%   Read assertion file          (1 call)
% 0.13/0.39  ;     0.000   0%   Assert                       (19 calls)
% 0.13/0.39  ;     0.002  10%   Process new row              (22 calls)
% 0.13/0.39  ;     0.001   5%   Resolution                   (20 calls)
% 0.13/0.39  ;     0.000   0%   Paramodulation               (10 calls)
% 0.13/0.39  ;     0.000   0%   Condensing                   (12 calls)
% 0.13/0.39  ;     0.000   0%   Forward subsumption          (12 calls)
% 0.13/0.39  ;     0.000   0%   Backward subsumption         (12 calls)
% 0.13/0.39  ;     0.000   0%   Clause clause subsumption    (12 calls)
% 0.13/0.39  ;     0.000   0%   Forward simplification       (22 calls)
% 0.13/0.39  ;     0.001   5%   Backward simplification      (21 calls)
% 0.13/0.39  ;     0.000   0%   Ordering                     (3 calls)
% 0.13/0.39  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.13/0.39  ;     0.000   0%   Purity testing               (1 call)
% 0.13/0.39  ;     0.012  60%   Other
% 0.13/0.39  ;     0.020        Total
% 0.13/0.39  ;     0.020        Real time
% 0.13/0.39  ; 
% 0.13/0.39  ; Term-hash-array has 47 terms in all.
% 0.13/0.39  ; Feature-vector-row-index has 12 entries (12 at peak, 12 added, 0 deleted).
% 0.13/0.39  ; Feature-vector-row-index has 25 nodes (25 at peak, 25 added, 0 deleted).
% 0.13/0.39  ;  Retrieved 10 possibly forward subsuming rows in 12 calls.
% 0.13/0.39  ;  Retrieved 2 possibly backward subsumed rows in 12 calls.
% 0.13/0.39  ; Path-index has 52 entries (52 at peak, 52 added, 0 deleted).
% 0.13/0.39  ; Path-index has 189 nodes (189 at peak, 189 added, 0 deleted).
% 0.13/0.39  ; Trie-index has 52 entries (52 at peak, 52 added, 0 deleted).
% 0.13/0.39  ; Trie-index has 125 nodes (125 at peak, 125 added, 0 deleted).
% 0.13/0.39  ; Retrieved 19 generalization terms in 48 calls.
% 0.13/0.39  ; Retrieved 10 instance terms in 8 calls.
% 0.13/0.39  ; Retrieved 285 unifiable terms in 58 calls.
% 0.13/0.39  ; 
% 0.13/0.39  ; The agenda of rows to process has 12 entries:
% 0.13/0.39  ;     6 with value 7               6 with value 12
% 0.13/0.39  ; The agenda of input rows to give has 9 entries:
% 0.13/0.39  ;     2 with value 21              1 with value 34               1 with value 37
% 0.13/0.39  ;     2 with value 25              1 with value 35               1 with value 44
% 0.13/0.39  ;     1 with value 30
% 0.13/0.39  ; The agenda of rows to give has 1 entry:
% 0.13/0.39  ;     1 with value (4 10)
% 0.13/0.39  Evaluation took:
% 0.13/0.39    0.021 seconds of real time
% 0.13/0.39    0.013093 seconds of user run time
% 0.13/0.39    0.008066 seconds of system run time
% 0.13/0.39    0 calls to %EVAL
% 0.13/0.39    0 page faults and
% 0.13/0.39    1,747,768 bytes consed.
% 0.13/0.39  :PROOF-FOUND
% 0.13/0.39  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-18T09:18:17
% 0.13/0.39  :PROOF-FOUND
% 0.13/0.39  * 
%------------------------------------------------------------------------------