TSTP Solution File: GEO024-3 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : GEO024-3 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n005.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 06:13:13 EDT 2022

% Result   : Unsatisfiable 0.20s 0.53s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    3
% Syntax   : Number of clauses     :    5 (   5 unt;   0 nHn;   2 RR)
%            Number of literals    :    5 (   1 equ;   1 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-4 aty)
%            Number of functors    :    3 (   3 usr;   2 con; 0-4 aty)
%            Number of variables   :    9 (   2 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(segment_construction2,axiom,
    equidistant(X,extension(Y,X,Z,U),Z,U),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-0.ax',segment_construction2) ).

cnf(e1,axiom,
    X = extension(Y,X,Z,Z),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e1) ).

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

cnf(39,plain,
    equidistant(X,X,Y,Y),
    inference('PARAMODULATE',[status(thm)],[segment_construction2,e1,theory(equality)]) ).

cnf(40,plain,
    $false,
    inference('REWRITE',[status(thm)],[prove_congruence,39]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : GEO024-3 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13  % Command  : run-snark %s %d
% 0.13/0.34  % Computer : n005.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 14:17:53 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.20/0.46  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.47  * 
% 0.20/0.47  * 
% 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))
% 0.20/0.48  * 
% 0.20/0.48  "."
% 0.20/0.48  * 
% 0.20/0.48  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-18T14:17:53
% 0.20/0.48  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n005.cluster.edu at 2022-06-18T14:17:53
% 0.20/0.50  
% 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  ;        51 formulas have been input or derived (from 15 formulas).
% 0.20/0.53  ;        40 (78%) were retained.  Of these,
% 0.20/0.53  ;            2 ( 5%) were simplified or subsumed later,
% 0.20/0.53  ;           38 (95%) are still being kept.
% 0.20/0.53  ; 
% 0.20/0.53  ; Run time in seconds excluding printing time:
% 0.20/0.53  ;     0.009  21%   Read assertion file          (1 call)
% 0.20/0.53  ;     0.002   5%   Assert                       (36 calls)
% 0.20/0.53  ;     0.004   9%   Process new row              (48 calls)
% 0.20/0.53  ;     0.001   2%   Resolution                   (28 calls)
% 0.20/0.53  ;     0.001   2%   Paramodulation               (14 calls)
% 0.20/0.53  ;     0.001   2%   Condensing                   (23 calls)
% 0.20/0.53  ;     0.001   2%   Forward subsumption          (23 calls)
% 0.20/0.53  ;     0.000   0%   Backward subsumption         (23 calls)
% 0.20/0.53  ;     0.000   0%   Clause clause subsumption    (86 calls)
% 0.20/0.53  ;     0.001   2%   Forward simplification       (48 calls)
% 0.20/0.53  ;     0.000   0%   Backward simplification      (40 calls)
% 0.20/0.53  ;     0.000   0%   Ordering                     (17 calls)
% 0.20/0.53  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.20/0.53  ;     0.000   0%   Purity testing               (1 call)
% 0.20/0.53  ;     0.023  53%   Other
% 0.20/0.53  ;     0.043        Total
% 0.20/0.53  ;     0.044        Real time
% 0.20/0.53  ; 
% 0.20/0.53  ; Term-hash-array has 71 terms in all.
% 0.20/0.53  ; Feature-vector-row-index has 23 entries (23 at peak, 23 added, 0 deleted).
% 0.20/0.53  ; Feature-vector-row-index has 32 nodes (32 at peak, 32 added, 0 deleted).
% 0.20/0.53  ;  Retrieved 39 possibly forward subsuming rows in 23 calls.
% 0.20/0.53  ;  Retrieved 47 possibly backward subsumed rows in 23 calls.
% 0.20/0.53  ; Path-index has 72 entries (75 at peak, 76 added, 4 deleted).
% 0.20/0.53  ; Path-index has 203 nodes (209 at peak, 209 added, 6 deleted).
% 0.20/0.53  ; Trie-index has 72 entries (75 at peak, 76 added, 4 deleted).
% 0.20/0.53  ; Trie-index has 141 nodes (147 at peak, 147 added, 6 deleted).
% 0.20/0.53  ; Retrieved 66 generalization terms in 77 calls.
% 0.20/0.53  ; Retrieved 110 instance terms in 16 calls.
% 0.20/0.53  ; Retrieved 362 unifiable terms in 63 calls.
% 0.20/0.53  ; 
% 0.20/0.53  ; The agenda of rows to process has 1 entry:
% 0.20/0.53  ;     1 with value 10
% 0.20/0.53  ; The agenda of input rows to give has 22 entries:
% 0.20/0.53  ;     3 with value 11              2 with value 21               1 with value 35
% 0.20/0.53  ;     7 with value 12              2 with value 25               1 with value 37
% 0.20/0.53  ;     1 with value 14              1 with value 30               1 with value 44
% 0.20/0.53  ;     2 with value 18              1 with value 34
% 0.20/0.53  ; The agenda of rows to give has 2 entries:
% 0.20/0.53  ;     1 with value (4 6)           1 with value (4 7)
% 0.20/0.53  Evaluation took:
% 0.20/0.53    0.045 seconds of real time
% 0.20/0.53    0.038553 seconds of user run time
% 0.20/0.53    0.005983 seconds of system run time
% 0.20/0.53    0 calls to %EVAL
% 0.20/0.53    0 page faults and
% 0.20/0.53    2,051,568 bytes consed.
% 0.20/0.53  :PROOF-FOUND
% 0.20/0.53  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-18T14:17:53
% 0.20/0.53  :PROOF-FOUND
% 0.20/0.53  * 
%------------------------------------------------------------------------------