TSTP Solution File: GEO016-3 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : GEO016-3 : TPTP v8.1.0. Released v1.0.0.
% 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 06:13:08 EDT 2022

% Result   : Unsatisfiable 0.20s 0.52s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    1
%            Number of leaves      :    4
% Syntax   : Number of clauses     :    5 (   4 unt;   0 nHn;   4 RR)
%            Number of literals    :    7 (   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    :    4 (   4 usr;   4 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(u_to_v_equals_w_to_x,hypothesis,
    equidistant(u,v,w,x),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_to_v_equals_w_to_x) ).

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

cnf(27,plain,
    $false,
    inference('UR-RESOLVE',[status(thm)],[transitivity_for_equidistance,reflexivity_for_equidistance,u_to_v_equals_w_to_x,prove_symmetry]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem  : GEO016-3 : TPTP v8.1.0. Released v1.0.0.
% 0.12/0.13  % Command  : run-snark %s %d
% 0.14/0.35  % Computer : n022.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 600
% 0.14/0.35  % DateTime : Sat Jun 18 12:38:02 EDT 2022
% 0.14/0.35  % CPUTime  : 
% 0.20/0.47  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.48  * 
% 0.20/0.48  * 
% 0.20/0.48  #<PACKAGE "SNARK-USER">
% 0.20/0.48  * 
% 0.20/0.48  SNARK-TPTP-OPTIONS
% 0.20/0.48  * 
% 0.20/0.48  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.48   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.48   (USE-FACTORING :POS)
% 0.20/0.48   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.48   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.48   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.48   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.48   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.48   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.48   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.48   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.48   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.48   (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.49  * 
% 0.20/0.49  "."
% 0.20/0.49  * 
% 0.20/0.49  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-18T12:38:02
% 0.20/0.49  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n022.cluster.edu at 2022-06-18T12:38:02
% 0.20/0.52  
% 0.20/0.52  
% 0.20/0.52  #||
% 0.20/0.52  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.52  % SZS output start Refutation
% See solution above
% 0.20/0.52  ||#
% 0.20/0.52  
% 0.20/0.52  ; Summary of computation:
% 0.20/0.52  ;        73 formulas have been input or derived (from 14 formulas).
% 0.20/0.52  ;        27 (37%) were retained.  Of these,
% 0.20/0.52  ;           27 (100%) are still being kept.
% 0.20/0.52  ; 
% 0.20/0.52  ; Run time in seconds excluding printing time:
% 0.20/0.52  ;     0.006  16%   Read assertion file          (1 call)
% 0.20/0.52  ;     0.001   3%   Assert                       (22 calls)
% 0.20/0.52  ;     0.003   8%   Process new row              (36 calls)
% 0.20/0.52  ;     0.000   0%   Resolution                   (26 calls)
% 0.20/0.52  ;     0.000   0%   Paramodulation               (13 calls)
% 0.20/0.52  ;     0.002   5%   Condensing                   (13 calls)
% 0.20/0.52  ;     0.000   0%   Forward subsumption          (13 calls)
% 0.20/0.52  ;     0.000   0%   Backward subsumption         (13 calls)
% 0.20/0.52  ;     0.001   3%   Clause clause subsumption    (15 calls)
% 0.20/0.52  ;     0.000   0%   Forward simplification       (36 calls)
% 0.20/0.52  ;     0.000   0%   Backward simplification      (27 calls)
% 0.20/0.52  ;     0.000   0%   Ordering                     (3 calls)
% 0.20/0.52  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.20/0.52  ;     0.000   0%   Purity testing               (1 call)
% 0.20/0.52  ;     0.024  65%   Other
% 0.20/0.52  ;     0.037        Total
% 0.20/0.52  ;     0.038        Real time
% 0.20/0.52  ; 
% 0.20/0.52  ; Term-hash-array has 54 terms in all.
% 0.20/0.52  ; Feature-vector-row-index has 13 entries (13 at peak, 13 added, 0 deleted).
% 0.20/0.52  ; Feature-vector-row-index has 26 nodes (26 at peak, 26 added, 0 deleted).
% 0.20/0.52  ;  Retrieved 10 possibly forward subsuming rows in 13 calls.
% 0.20/0.52  ;  Retrieved 5 possibly backward subsumed rows in 13 calls.
% 0.20/0.52  ; Path-index has 61 entries (61 at peak, 61 added, 0 deleted).
% 0.20/0.52  ; Path-index has 208 nodes (208 at peak, 208 added, 0 deleted).
% 0.20/0.52  ; Trie-index has 61 entries (61 at peak, 61 added, 0 deleted).
% 0.20/0.52  ; Trie-index has 142 nodes (142 at peak, 142 added, 0 deleted).
% 0.20/0.52  ; Retrieved 41 generalization terms in 61 calls.
% 0.20/0.52  ; Retrieved 30 instance terms in 13 calls.
% 0.20/0.52  ; Retrieved 657 unifiable terms in 96 calls.
% 0.20/0.52  ; 
% 0.20/0.52  ; The agenda of rows to process has 35 entries:
% 0.20/0.52  ;    25 with value 7              10 with value 12
% 0.20/0.52  ; The agenda of input rows to give has 9 entries:
% 0.20/0.52  ;     2 with value 21              1 with value 34               1 with value 37
% 0.20/0.52  ;     2 with value 25              1 with value 35               1 with value 44
% 0.20/0.52  ;     1 with value 30
% 0.20/0.52  ; The agenda of rows to give has 4 entries:
% 0.20/0.52  ;     2 with value (4 7)           1 with value (4 10)           1 with value (4 12)
% 0.20/0.52  Evaluation took:
% 0.20/0.52    0.038 seconds of real time
% 0.20/0.52    0.036537 seconds of user run time
% 0.20/0.52    0.002067 seconds of system run time
% 0.20/0.52    0 calls to %EVAL
% 0.20/0.52    0 page faults and
% 0.20/0.52    1,870,760 bytes consed.
% 0.20/0.52  :PROOF-FOUND
% 0.20/0.52  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-18T12:38:02
% 0.20/0.52  :PROOF-FOUND
% 0.20/0.52  * 
%------------------------------------------------------------------------------