TSTP Solution File: GEO015-3 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : GEO015-3 : 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 06:13:07 EDT 2022

% Result   : Unsatisfiable 0.19s 0.51s
% Output   : Refutation 0.19s
% 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(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(d1,axiom,
    equidistant(X,Y,X,Y),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1) ).

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

cnf(23,plain,
    $false,
    inference('UR-RESOLVE',[status(thm)],[transitivity_for_equidistance,u_to_v_equals_w_to_x,d1,prove_symmetry]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : GEO015-3 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.13  % Command  : run-snark %s %d
% 0.13/0.34  % Computer : n022.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 01:39:32 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.19/0.45  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.46  * 
% 0.19/0.46  * 
% 0.19/0.47  #<PACKAGE "SNARK-USER">
% 0.19/0.47  * 
% 0.19/0.47  SNARK-TPTP-OPTIONS
% 0.19/0.47  * 
% 0.19/0.47  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.47   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.47   (USE-FACTORING :POS)
% 0.19/0.47   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.47   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.47   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.47   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.47   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.47   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.47   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.47   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.47   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.47   (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.47  * 
% 0.19/0.47  "."
% 0.19/0.47  * 
% 0.19/0.47  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-18T01:39:32
% 0.19/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n022.cluster.edu at 2022-06-18T01:39:32
% 0.19/0.51  
% 0.19/0.51  
% 0.19/0.51  #||
% 0.19/0.51  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.51  % SZS output start Refutation
% See solution above
% 0.19/0.51  ||#
% 0.19/0.51  
% 0.19/0.51  ; Summary of computation:
% 0.19/0.51  ;        63 formulas have been input or derived (from 13 formulas).
% 0.19/0.51  ;        23 (37%) were retained.  Of these,
% 0.19/0.51  ;           23 (100%) are still being kept.
% 0.19/0.51  ; 
% 0.19/0.51  ; Run time in seconds:
% 0.19/0.51  ;     0.005  14%   Read assertion file          (1 call)
% 0.19/0.51  ;     0.000   0%   Assert                       (21 calls)
% 0.19/0.51  ;     0.002   6%   Process new row              (27 calls)
% 0.19/0.51  ;     0.001   3%   Resolution                   (24 calls)
% 0.19/0.51  ;     0.001   3%   Paramodulation               (12 calls)
% 0.19/0.51  ;     0.000   0%   Condensing                   (12 calls)
% 0.19/0.51  ;     0.000   0%   Forward subsumption          (12 calls)
% 0.19/0.51  ;     0.000   0%   Backward subsumption         (12 calls)
% 0.19/0.51  ;     0.001   3%   Clause clause subsumption    (12 calls)
% 0.19/0.51  ;     0.001   3%   Forward simplification       (27 calls)
% 0.19/0.51  ;     0.000   0%   Backward simplification      (23 calls)
% 0.19/0.51  ;     0.000   0%   Ordering                     (3 calls)
% 0.19/0.51  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.19/0.51  ;     0.001   3%   Purity testing               (1 call)
% 0.19/0.51  ;     0.023  66%   Other
% 0.19/0.51  ;     0.035        Total
% 0.19/0.51  ;     0.036        Real time
% 0.19/0.51  ; 
% 0.19/0.51  ; Term-hash-array has 49 terms in all.
% 0.19/0.51  ; Feature-vector-row-index has 12 entries (12 at peak, 12 added, 0 deleted).
% 0.19/0.51  ; Feature-vector-row-index has 25 nodes (25 at peak, 25 added, 0 deleted).
% 0.19/0.51  ;  Retrieved 10 possibly forward subsuming rows in 12 calls.
% 0.19/0.51  ;  Retrieved 2 possibly backward subsumed rows in 12 calls.
% 0.19/0.51  ; Path-index has 56 entries (56 at peak, 56 added, 0 deleted).
% 0.19/0.51  ; Path-index has 195 nodes (195 at peak, 195 added, 0 deleted).
% 0.19/0.51  ; Trie-index has 56 entries (56 at peak, 56 added, 0 deleted).
% 0.19/0.51  ; Trie-index has 131 nodes (131 at peak, 131 added, 0 deleted).
% 0.19/0.51  ; Retrieved 23 generalization terms in 50 calls.
% 0.19/0.51  ; Retrieved 27 instance terms in 10 calls.
% 0.19/0.51  ; Retrieved 540 unifiable terms in 89 calls.
% 0.19/0.51  ; 
% 0.19/0.51  ; The agenda of rows to process has 35 entries:
% 0.19/0.51  ;    25 with value 7              10 with value 12
% 0.19/0.51  ; The agenda of input rows to give has 9 entries:
% 0.19/0.51  ;     2 with value 21              1 with value 34               1 with value 37
% 0.19/0.51  ;     2 with value 25              1 with value 35               1 with value 44
% 0.19/0.51  ;     1 with value 30
% 0.19/0.51  ; The agenda of rows to give has 1 entry:
% 0.19/0.51  ;     1 with value (4 10)
% 0.19/0.51  Evaluation took:
% 0.19/0.51    0.037 seconds of real time
% 0.19/0.51    0.027912 seconds of user run time
% 0.19/0.51    0.008788 seconds of system run time
% 0.19/0.51    0 calls to %EVAL
% 0.19/0.51    0 page faults and
% 0.19/0.51    1,833,824 bytes consed.
% 0.19/0.51  :PROOF-FOUND
% 0.19/0.51  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-18T01:39:32
% 0.19/0.51  :PROOF-FOUND
% 0.19/0.51  * 
%------------------------------------------------------------------------------