TSTP Solution File: GEO017-3 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : GEO017-3 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n003.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 06:13:09 EDT 2022

% Result   : Unsatisfiable 0.19s 0.49s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    5
% Syntax   : Number of clauses     :    7 (   5 unt;   0 nHn;   6 RR)
%            Number of literals    :   10 (   0 equ;   4 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   :   12 (   0 sgn)

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

cnf(d2,axiom,
    ( ~ equidistant(X,Y,Z,U)
    | equidistant(Z,U,X,Y) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2) ).

cnf(u_to_v_equals_w_to_x,hypothesis,
    equidistant(u,v,w,x),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_to_v_equals_w_to_x) ).

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

cnf(25,plain,
    equidistant(w,x,u,v),
    inference('HYPERRESOLVE',[status(thm)],[d2,u_to_v_equals_w_to_x]) ).

cnf(32,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[transitivity_for_equidistance,reflexivity_for_equidistance,prove_symmetry]),25]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11  % Problem  : GEO017-3 : TPTP v8.1.0. Released v1.0.0.
% 0.11/0.12  % Command  : run-snark %s %d
% 0.12/0.33  % Computer : n003.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 23:03:42 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 2022-06-17T23:03:42
% 0.19/0.46  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n003.cluster.edu at 2022-06-17T23:03:42
% 0.19/0.49  
% 0.19/0.49  
% 0.19/0.49  #||
% 0.19/0.49  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.49  % SZS output start Refutation
% See solution above
% 0.19/0.49  ||#
% 0.19/0.49  
% 0.19/0.49  ; Summary of computation:
% 0.19/0.49  ;        81 formulas have been input or derived (from 15 formulas).
% 0.19/0.49  ;        32 (40%) were retained.  Of these,
% 0.19/0.49  ;           32 (100%) are still being kept.
% 0.19/0.49  ; 
% 0.19/0.49  ; Run time in seconds:
% 0.19/0.49  ;     0.006  17%   Read assertion file          (1 call)
% 0.19/0.49  ;     0.001   3%   Assert                       (23 calls)
% 0.19/0.50  ;     0.001   3%   Process new row              (55 calls)
% 0.19/0.50  ;     0.000   0%   Resolution                   (28 calls)
% 0.19/0.50  ;     0.000   0%   Paramodulation               (14 calls)
% 0.19/0.50  ;     0.001   3%   Condensing                   (14 calls)
% 0.19/0.50  ;     0.001   3%   Forward subsumption          (14 calls)
% 0.19/0.50  ;     0.000   0%   Backward subsumption         (14 calls)
% 0.19/0.50  ;     0.001   3%   Clause clause subsumption    (20 calls)
% 0.19/0.50  ;     0.002   6%   Forward simplification       (55 calls)
% 0.19/0.50  ;     0.000   0%   Backward simplification      (32 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  ;     0.037        Real time
% 0.19/0.50  ; 
% 0.19/0.50  ; Term-hash-array has 59 terms in all.
% 0.19/0.50  ; Feature-vector-row-index has 14 entries (14 at peak, 14 added, 0 deleted).
% 0.19/0.50  ; Feature-vector-row-index has 26 nodes (26 at peak, 26 added, 0 deleted).
% 0.19/0.50  ;  Retrieved 11 possibly forward subsuming rows in 14 calls.
% 0.19/0.50  ;  Retrieved 9 possibly backward subsumed rows in 14 calls.
% 0.19/0.50  ; Path-index has 66 entries (66 at peak, 66 added, 0 deleted).
% 0.19/0.50  ; Path-index has 221 nodes (221 at peak, 221 added, 0 deleted).
% 0.19/0.50  ; Trie-index has 66 entries (66 at peak, 66 added, 0 deleted).
% 0.19/0.50  ; Trie-index has 158 nodes (158 at peak, 158 added, 0 deleted).
% 0.19/0.50  ; Retrieved 73 generalization terms in 83 calls.
% 0.19/0.50  ; Retrieved 34 instance terms in 17 calls.
% 0.19/0.50  ; Retrieved 777 unifiable terms in 103 calls.
% 0.19/0.50  ; 
% 0.19/0.50  ; The agenda of rows to process has 23 entries:
% 0.19/0.50  ;    13 with value 7              10 with value 12
% 0.19/0.50  ; The agenda of input rows to give has 9 entries:
% 0.19/0.50  ;     2 with value 21              1 with value 34               1 with value 37
% 0.19/0.50  ;     2 with value 25              1 with value 35               1 with value 44
% 0.19/0.50  ;     1 with value 30
% 0.19/0.50  ; The agenda of rows to give has 8 entries:
% 0.19/0.50  ;     5 with value (4 7)           1 with value (4 10)           2 with value (4 12)
% 0.19/0.50  Evaluation took:
% 0.19/0.50    0.038 seconds of real time
% 0.19/0.50    0.033902 seconds of user run time
% 0.19/0.50    0.003712 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    2,051,544 bytes consed.
% 0.19/0.50  :PROOF-FOUND
% 0.19/0.50  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-17T23:03:43
% 0.19/0.50  :PROOF-FOUND
% 0.19/0.50  * 
%------------------------------------------------------------------------------